diff --git a/changelog b/changelog index 4d16b31..a3cb399 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100614 tpd src/axiom-website/patches.html 20100614.02.tpd.patch +20100614 tpd src/input/Makefile rule-based hyper integration +20100614 tpd src/input/richhyper300-399.input rule-based hyper integration 20100614 tpd src/axiom-website/patches.html 20100614.01.tpd.patch 20100614 tpd src/input/Makefile rule-based hyper integration 20100514 tpd src/input/richhyper200-299.input rule-based hyper integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index db6dee5..3df61f8 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2894,6 +2894,8 @@ books/bookvolbib add Jenks [JT18], [JT18a], [JT18b], [JWS87]
src/input/richhyper100-199.input rule-based hyper integration
20100614.01.tpd.patch src/input/richhyper200-299.input rule-based hyper integration
+20100614.02.tpd.patch +src/input/richhyper300-399.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 43576fb..6c2cf17 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -378,6 +378,7 @@ REGRES= ackermann.regress \ richhyper000-099.regress \ richhyper100-199.regress \ richhyper200-299.regress \ + richhyper300-399.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -710,6 +711,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richhyper000-099.input \ ${OUT}/richhyper100-199.input \ ${OUT}/richhyper200-299.input \ + ${OUT}/richhyper300-399.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1071,6 +1073,7 @@ DOCFILES= \ ${DOC}/richhyper000-099.input.dvi \ ${DOC}/richhyper100-199.input.dvi \ ${DOC}/richhyper200-299.input.dvi \ + ${DOC}/richhyper300-399.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper300-399.input.pamphlet b/src/input/richhyper300-399.input.pamphlet new file mode 100644 index 0000000..99fa03c --- /dev/null +++ b/src/input/richhyper300-399.input.pamphlet @@ -0,0 +1,47342 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper300-399.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper300-399.output +)spool richhyper300-399.output +)set message auto off +)clear all + +--S 1 of 508 +t0300:= 1/(a*tanh(x)^4)^(1/2) +--R +--R +--R 1 +--R (1) ------------- +--R +----------+ +--R | 4 +--R \|a tanh(x) +--R Type: Expression Integer +--E 1 + +--S 2 of 508 +r0300:= (x-coth(x))*tanh(x)^2/(a*tanh(x)^4)^(1/2) +--R +--R +--R 2 +--R (- coth(x) + x)tanh(x) +--R (2) ----------------------- +--R +----------+ +--R | 4 +--R \|a tanh(x) +--R Type: Expression Integer +--E 2 + +--S 3 of 508 +a0300:= integrate(t0300,x) +--R +--R +--R 2 2 +--R x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) - x - 2 +--R (3) --------------------------------------------------- +--R 2 2 +-+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|a +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 508 +m0300:= a0300-r0300 +--R +--R +--R (4) +--R +----------+ +--R 2 2 | 4 +--R (x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) - x - 2)\|a tanh(x) +--R + +--R 2 +--R (coth(x) - x)sinh(x) + (2cosh(x)coth(x) - 2x cosh(x))sinh(x) +--R + +--R 2 2 +--R (cosh(x) - 1)coth(x) - x cosh(x) + x +--R * +--R 2 +-+ +--R tanh(x) \|a +--R / +--R +----------+ +--R 2 2 +-+ | 4 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|a \|a tanh(x) +--R Type: Expression Integer +--E 4 + +--S 5 of 508 +d0300:= D(m0300,x) +--R +--R +--R (5) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 4cosh(x))sinh(x) + cosh(x) + 2cosh(x) + 1 +--R * +--R +----------+ +--R +-+ | 4 +--R \|a \|a tanh(x) +--R + +--R 2 4 2 3 +--R - a coth(x) sinh(x) - 4a cosh(x)coth(x) sinh(x) +--R + +--R 2 2 2 +--R (- 6a cosh(x) + 2a)coth(x) sinh(x) +--R + +--R 3 2 +--R (- 4a cosh(x) + 4a cosh(x))coth(x) sinh(x) +--R + +--R 4 2 2 +--R (- a cosh(x) + 2a cosh(x) - a)coth(x) +--R * +--R 2 +--R tanh(x) +--R / +--R 4 3 2 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) - 2a)sinh(x) +--R + +--R 3 4 2 +--R (4a cosh(x) - 4a cosh(x))sinh(x) + a cosh(x) - 2a cosh(x) + a +--R * +--R +----------+ +--R | 4 +--R \|a tanh(x) +--R Type: Expression Integer +--E 5 + +--S 6 of 508 +t0301:= 1/(1+tanh(x)) +--R +--R +--R 1 +--R (6) ----------- +--R tanh(x) + 1 +--R Type: Expression Integer +--E 6 + +--S 7 of 508 +r0301:= 1/2*x-1/(2+2*tanh(x)) +--R +--R +--R x tanh(x) + x - 1 +--R (7) ----------------- +--R 2tanh(x) + 2 +--R Type: Expression Integer +--E 7 + +--S 8 of 508 +a0301:= integrate(t0301,x) +--R +--R +--R (2x + 1)sinh(x) + (2x - 1)cosh(x) +--R (8) --------------------------------- +--R 4sinh(x) + 4cosh(x) +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 508 +m0301:= a0301-r0301 +--R +--R +--R (sinh(x) - cosh(x))tanh(x) + 3sinh(x) + cosh(x) +--R (9) -------------------------------------------------- +--R (4sinh(x) + 4cosh(x))tanh(x) + 4sinh(x) + 4cosh(x) +--R Type: Expression Integer +--E 9 + +--S 10 of 508 +d0301:= D(m0301,x) +--R +--R +--R cosh(x)tanh(x) - sinh(x) +--R (10) ---------------------------------------------- +--R (sinh(x) + cosh(x))tanh(x) + sinh(x) + cosh(x) +--R Type: Expression Integer +--E 10 + +--S 11 of 508 +t0302:= 1/(1+tanh(x))^2 +--R +--R +--R 1 +--R (11) ----------------------- +--R 2 +--R tanh(x) + 2tanh(x) + 1 +--R Type: Expression Integer +--E 11 + +--S 12 of 508 +r0302:= 1/4*x-1/4/(1+tanh(x))^2-1/(4+4*tanh(x)) +--R +--R +--R 2 +--R x tanh(x) + (2x - 1)tanh(x) + x - 2 +--R (12) ------------------------------------ +--R 2 +--R 4tanh(x) + 8tanh(x) + 4 +--R Type: Expression Integer +--E 12 + +--S 13 of 508 +a0302:= integrate(t0302,x) +--R +--R +--R 2 2 +--R (4x - 1)sinh(x) + (8x + 2)cosh(x)sinh(x) + (4x - 1)cosh(x) - 4 +--R (13) ---------------------------------------------------------------- +--R 2 2 +--R 16sinh(x) + 32cosh(x)sinh(x) + 16cosh(x) +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 508 +m0302:= a0302-r0302 +--R +--R +--R (14) +--R 2 2 2 +--R (- sinh(x) + 2cosh(x)sinh(x) - cosh(x) - 4)tanh(x) +--R + +--R 2 2 2 +--R (2sinh(x) + 12cosh(x)sinh(x) + 2cosh(x) - 8)tanh(x) + 7sinh(x) +--R + +--R 2 +--R 18cosh(x)sinh(x) + 7cosh(x) - 4 +--R / +--R 2 2 2 +--R (16sinh(x) + 32cosh(x)sinh(x) + 16cosh(x) )tanh(x) +--R + +--R 2 2 2 +--R (32sinh(x) + 64cosh(x)sinh(x) + 32cosh(x) )tanh(x) + 16sinh(x) +--R + +--R 2 +--R 32cosh(x)sinh(x) + 16cosh(x) +--R Type: Expression Integer +--E 14 + +--S 15 of 508 +d0302:= D(m0302,x) +--R +--R +--R (15) +--R 2 2 2 2 2 +--R (sinh(x) + cosh(x) + 1)tanh(x) + (2sinh(x) + 2cosh(x) + 2)tanh(x) +--R + +--R 2 2 +--R - sinh(x) - 4cosh(x)sinh(x) - cosh(x) + 1 +--R / +--R 2 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )tanh(x) +--R + +--R 2 2 2 +--R (4sinh(x) + 8cosh(x)sinh(x) + 4cosh(x) )tanh(x) + 2sinh(x) +--R + +--R 2 +--R 4cosh(x)sinh(x) + 2cosh(x) +--R Type: Expression Integer +--E 15 + +--S 16 of 508 +t0303:= 1/(1+tanh(x))^3 +--R +--R +--R 1 +--R (16) ----------------------------------- +--R 3 2 +--R tanh(x) + 3tanh(x) + 3tanh(x) + 1 +--R Type: Expression Integer +--E 16 + +--S 17 of 508 +r0303:= 1/8*x-1/6/(1+tanh(x))^3-1/8/(1+tanh(x))^2-1/(8+8*tanh(x)) +--R +--R +--R 3 2 +--R 3x tanh(x) + (9x - 3)tanh(x) + (9x - 9)tanh(x) + 3x - 10 +--R (17) ---------------------------------------------------------- +--R 3 2 +--R 24tanh(x) + 72tanh(x) + 72tanh(x) + 24 +--R Type: Expression Integer +--E 17 + +--S 18 of 508 +a0303:= integrate(t0303,x) +--R +--R +--R (18) +--R 3 2 +--R (12x + 2)sinh(x) + (36x - 6)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((36x + 6)cosh(x) - 9)sinh(x) + (12x - 2)cosh(x) - 27cosh(x) +--R / +--R 3 2 2 3 +--R 96sinh(x) + 288cosh(x)sinh(x) + 288cosh(x) sinh(x) + 96cosh(x) +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 508 +m0303:= a0303-r0303 +--R +--R +--R (19) +--R 3 2 2 3 +--R 2sinh(x) - 6cosh(x)sinh(x) + (6cosh(x) - 9)sinh(x) - 2cosh(x) +--R + +--R - 27cosh(x) +--R * +--R 3 +--R tanh(x) +--R + +--R 3 2 2 3 +--R 18sinh(x) + 18cosh(x)sinh(x) + (54cosh(x) - 27)sinh(x) + 6cosh(x) +--R + +--R - 81cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 +--R 42sinh(x) + 90cosh(x)sinh(x) + (126cosh(x) - 27)sinh(x) +--R + +--R 3 +--R 30cosh(x) - 81cosh(x) +--R * +--R tanh(x) +--R + +--R 3 2 2 3 +--R 42sinh(x) + 114cosh(x)sinh(x) + (126cosh(x) - 9)sinh(x) + 38cosh(x) +--R + +--R - 27cosh(x) +--R / +--R 3 2 2 3 +--R (96sinh(x) + 288cosh(x)sinh(x) + 288cosh(x) sinh(x) + 96cosh(x) ) +--R * +--R 3 +--R tanh(x) +--R + +--R 3 2 2 3 +--R (288sinh(x) + 864cosh(x)sinh(x) + 864cosh(x) sinh(x) + 288cosh(x) ) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 3 +--R (288sinh(x) + 864cosh(x)sinh(x) + 864cosh(x) sinh(x) + 288cosh(x) ) +--R * +--R tanh(x) +--R + +--R 3 2 2 3 +--R 96sinh(x) + 288cosh(x)sinh(x) + 288cosh(x) sinh(x) + 96cosh(x) +--R Type: Expression Integer +--E 19 + +--S 20 of 508 +d0303:= D(m0303,x) +--R +--R +--R (20) +--R 2 3 3 +--R (3cosh(x)sinh(x) + cosh(x) + 3cosh(x))tanh(x) +--R + +--R 2 3 2 +--R (9cosh(x)sinh(x) + 3cosh(x) + 9cosh(x))tanh(x) +--R + +--R 2 3 3 +--R (9cosh(x)sinh(x) + 3cosh(x) + 9cosh(x))tanh(x) - 4sinh(x) +--R + +--R 2 2 3 +--R - 9cosh(x)sinh(x) - 12cosh(x) sinh(x) - 3cosh(x) + 3cosh(x) +--R / +--R 3 2 2 3 3 +--R (4sinh(x) + 12cosh(x)sinh(x) + 12cosh(x) sinh(x) + 4cosh(x) )tanh(x) +--R + +--R 3 2 2 3 2 +--R (12sinh(x) + 36cosh(x)sinh(x) + 36cosh(x) sinh(x) + 12cosh(x) )tanh(x) +--R + +--R 3 2 2 3 +--R (12sinh(x) + 36cosh(x)sinh(x) + 36cosh(x) sinh(x) + 12cosh(x) )tanh(x) +--R + +--R 3 2 2 3 +--R 4sinh(x) + 12cosh(x)sinh(x) + 12cosh(x) sinh(x) + 4cosh(x) +--R Type: Expression Integer +--E 20 + +--S 21 of 508 +t0304:= (a+b*tanh(c+d*x))^3 +--R +--R +--R 3 3 2 2 2 3 +--R (21) b tanh(d x + c) + 3a b tanh(d x + c) + 3a b tanh(d x + c) + a +--R Type: Expression Integer +--E 21 + +--S 22 of 508 +r0304:= a^3*x+3*a*b^2*x+3*a^2*b*log(cosh(c+d*x))/d+b^3*log(cosh(c+d*x))/d-3*a*b^2*tanh(c+d*x)/d-1/2*b^3*tanh(c+d*x)^2/d +--R +--R +--R (22) +--R 3 2 3 2 2 +--R (2b + 6a b)log(cosh(d x + c)) - b tanh(d x + c) - 6a b tanh(d x + c) +--R + +--R 2 3 +--R (6a b + 2a )d x +--R / +--R 2d +--R Type: Expression Integer +--E 22 + +--S 23 of 508 +a0304:= integrate(t0304,x) +--R +--R +--R (23) +--R 3 2 4 3 2 3 +--R (b + 3a b)sinh(d x + c) + (4b + 12a b)cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 2 +--R ((6b + 18a b)cosh(d x + c) + 2b + 6a b)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R ((4b + 12a b)cosh(d x + c) + (4b + 12a b)cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 3 2 2 3 2 +--R (b + 3a b)cosh(d x + c) + (2b + 6a b)cosh(d x + c) + b + 3a b +--R * +--R 2cosh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 3 2 2 3 4 +--R (- b + 3a b - 3a b + a )d x sinh(d x + c) +--R + +--R 3 2 2 3 3 +--R (- 4b + 12a b - 12a b + 4a )d x cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 +--R (- 6b + 18a b - 18a b + 6a )d x cosh(d x + c) +--R + +--R 3 2 2 3 3 2 +--R (- 2b + 6a b - 6a b + 2a )d x + 2b + 6a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 2 2 3 3 +--R (- 4b + 12a b - 12a b + 4a )d x cosh(d x + c) +--R + +--R 3 2 2 3 3 2 +--R ((- 4b + 12a b - 12a b + 4a )d x + 4b + 12a b )cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 2 2 3 4 +--R (- b + 3a b - 3a b + a )d x cosh(d x + c) +--R + +--R 3 2 2 3 3 2 2 +--R ((- 2b + 6a b - 6a b + 2a )d x + 2b + 6a b )cosh(d x + c) +--R + +--R 3 2 2 3 2 +--R (- b + 3a b - 3a b + a )d x + 6a b +--R / +--R 4 3 +--R d sinh(d x + c) + 4d cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (6d cosh(d x + c) + 2d)sinh(d x + c) +--R + +--R 3 4 +--R (4d cosh(d x + c) + 4d cosh(d x + c))sinh(d x + c) + d cosh(d x + c) +--R + +--R 2 +--R 2d cosh(d x + c) + d +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 508 +m0304:= a0304-r0304 +--R +--R +--R (24) +--R 3 2 4 +--R (- 2b - 6a b)sinh(d x + c) +--R + +--R 3 2 3 +--R (- 8b - 24a b)cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 2 +--R ((- 12b - 36a b)cosh(d x + c) - 4b - 12a b)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R ((- 8b - 24a b)cosh(d x + c) + (- 8b - 24a b)cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 3 2 2 3 +--R (- 2b - 6a b)cosh(d x + c) + (- 4b - 12a b)cosh(d x + c) - 2b +--R + +--R 2 +--R - 6a b +--R * +--R log(cosh(d x + c)) +--R + +--R 3 2 4 3 2 3 +--R (2b + 6a b)sinh(d x + c) + (8b + 24a b)cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 2 +--R ((12b + 36a b)cosh(d x + c) + 4b + 12a b)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R ((8b + 24a b)cosh(d x + c) + (8b + 24a b)cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 3 2 2 3 2 +--R (2b + 6a b)cosh(d x + c) + (4b + 12a b)cosh(d x + c) + 2b + 6a b +--R * +--R 2cosh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 3 4 3 3 +--R b sinh(d x + c) + 4b cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 3 2 +--R (6b cosh(d x + c) + 2b )sinh(d x + c) +--R + +--R 3 3 3 +--R (4b cosh(d x + c) + 4b cosh(d x + c))sinh(d x + c) +--R + +--R 3 4 3 2 3 +--R b cosh(d x + c) + 2b cosh(d x + c) + b +--R * +--R 2 +--R tanh(d x + c) +--R + +--R 2 4 2 3 +--R 6a b sinh(d x + c) + 24a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 2 2 +--R (36a b cosh(d x + c) + 12a b )sinh(d x + c) +--R + +--R 2 3 2 +--R (24a b cosh(d x + c) + 24a b cosh(d x + c))sinh(d x + c) +--R + +--R 2 4 2 2 2 +--R 6a b cosh(d x + c) + 12a b cosh(d x + c) + 6a b +--R * +--R tanh(d x + c) +--R + +--R 3 2 4 +--R (- 2b - 6a b)d x sinh(d x + c) +--R + +--R 3 2 3 +--R (- 8b - 24a b)d x cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 3 +--R (- 12b - 36a b)d x cosh(d x + c) + (- 4b - 12a b)d x + 4b +--R + +--R 2 +--R 12a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 2 3 +--R (- 8b - 24a b)d x cosh(d x + c) +--R + +--R 3 2 3 2 +--R ((- 8b - 24a b)d x + 8b + 24a b )cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 +--R (- 2b - 6a b)d x cosh(d x + c) +--R + +--R 3 2 3 2 2 3 2 +--R ((- 4b - 12a b)d x + 4b + 12a b )cosh(d x + c) + (- 2b - 6a b)d x +--R + +--R 2 +--R 12a b +--R / +--R 4 3 +--R 2d sinh(d x + c) + 8d cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (12d cosh(d x + c) + 4d)sinh(d x + c) +--R + +--R 3 4 +--R (8d cosh(d x + c) + 8d cosh(d x + c))sinh(d x + c) + 2d cosh(d x + c) +--R + +--R 2 +--R 4d cosh(d x + c) + 2d +--R Type: Expression Integer +--E 24 + +--S 25 of 508 +d0304:= D(m0304,x) +--R +--R +--R (25) +--R 3 6 3 5 +--R - b sinh(d x + c) - 6b cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 3 4 +--R (- 15b cosh(d x + c) - 3b )sinh(d x + c) +--R + +--R 3 3 3 3 +--R (- 20b cosh(d x + c) - 12b cosh(d x + c))sinh(d x + c) +--R + +--R 3 4 3 2 3 2 +--R (- 15b cosh(d x + c) - 18b cosh(d x + c) - 3b )sinh(d x + c) +--R + +--R 3 5 3 3 3 +--R (- 6b cosh(d x + c) - 12b cosh(d x + c) - 6b cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 6 3 4 3 2 3 +--R - b cosh(d x + c) - 3b cosh(d x + c) - 3b cosh(d x + c) - b +--R * +--R 3 +--R tanh(d x + c) +--R + +--R 2 6 2 5 +--R - 3a b sinh(d x + c) - 18a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 2 4 +--R (- 45a b cosh(d x + c) - 9a b )sinh(d x + c) +--R + +--R 2 3 2 3 +--R (- 60a b cosh(d x + c) - 36a b cosh(d x + c))sinh(d x + c) +--R + +--R 2 4 2 2 2 2 +--R (- 45a b cosh(d x + c) - 54a b cosh(d x + c) - 9a b )sinh(d x + c) +--R + +--R 2 5 2 3 +--R - 18a b cosh(d x + c) - 36a b cosh(d x + c) +--R + +--R 2 +--R - 18a b cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 2 6 2 4 2 2 +--R - 3a b cosh(d x + c) - 9a b cosh(d x + c) - 9a b cosh(d x + c) +--R + +--R 2 +--R - 3a b +--R * +--R 2 +--R tanh(d x + c) +--R + +--R 3 6 3 5 +--R b sinh(d x + c) + 6b cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 3 4 +--R (15b cosh(d x + c) + 3b )sinh(d x + c) +--R + +--R 3 3 3 3 +--R (20b cosh(d x + c) + 12b cosh(d x + c))sinh(d x + c) +--R + +--R 3 4 3 2 3 2 +--R (15b cosh(d x + c) + 18b cosh(d x + c) + 3b )sinh(d x + c) +--R + +--R 3 5 3 3 3 +--R (6b cosh(d x + c) + 12b cosh(d x + c) + 6b cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 6 3 4 3 2 3 +--R b cosh(d x + c) + 3b cosh(d x + c) + 3b cosh(d x + c) + b +--R * +--R tanh(d x + c) +--R + +--R 2 6 2 5 +--R 3a b sinh(d x + c) + 18a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 3 2 4 +--R (45a b cosh(d x + c) - 4b - 3a b )sinh(d x + c) +--R + +--R 2 3 3 2 3 +--R (60a b cosh(d x + c) + (- 16b - 12a b )cosh(d x + c))sinh(d x + c) +--R + +--R 2 4 3 2 2 3 2 +--R (45a b cosh(d x + c) + (- 24b - 18a b )cosh(d x + c) + 4b - 3a b ) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 5 3 2 3 +--R 18a b cosh(d x + c) + (- 16b - 12a b )cosh(d x + c) +--R + +--R 3 2 +--R (8b - 6a b )cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 2 6 3 2 4 +--R 3a b cosh(d x + c) + (- 4b - 3a b )cosh(d x + c) +--R + +--R 3 2 2 2 +--R (4b - 3a b )cosh(d x + c) + 3a b +--R / +--R 6 5 +--R sinh(d x + c) + 6cosh(d x + c)sinh(d x + c) +--R + +--R 2 4 +--R (15cosh(d x + c) + 3)sinh(d x + c) +--R + +--R 3 3 +--R (20cosh(d x + c) + 12cosh(d x + c))sinh(d x + c) +--R + +--R 4 2 2 +--R (15cosh(d x + c) + 18cosh(d x + c) + 3)sinh(d x + c) +--R + +--R 5 3 +--R (6cosh(d x + c) + 12cosh(d x + c) + 6cosh(d x + c))sinh(d x + c) +--R + +--R 6 4 2 +--R cosh(d x + c) + 3cosh(d x + c) + 3cosh(d x + c) + 1 +--R Type: Expression Integer +--E 25 + +--S 26 of 508 +t0305:= (a+b*tanh(c+d*x))^2 +--R +--R +--R 2 2 2 +--R (26) b tanh(d x + c) + 2a b tanh(d x + c) + a +--R Type: Expression Integer +--E 26 + +--S 27 of 508 +r0305:= a^2*x+b^2*x+2*a*b*log(cosh(c+d*x))/d-b^2*tanh(c+d*x)/d +--R +--R +--R 2 2 2 +--R 2a b log(cosh(d x + c)) - b tanh(d x + c) + (b + a )d x +--R (27) -------------------------------------------------------- +--R d +--R Type: Expression Integer +--E 27 + +--S 28 of 508 +a0305:= integrate(t0305,x) +--R +--R +--R (28) +--R 2 +--R 2a b sinh(d x + c) + 4a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R 2a b cosh(d x + c) + 2a b +--R * +--R 2cosh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 2 2 2 +--R (b - 2a b + a )d x sinh(d x + c) +--R + +--R 2 2 +--R (2b - 4a b + 2a )d x cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 2 2 2 2 +--R (b - 2a b + a )d x cosh(d x + c) + (b - 2a b + a )d x + 2b +--R / +--R 2 2 +--R d sinh(d x + c) + 2d cosh(d x + c)sinh(d x + c) + d cosh(d x + c) + d +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 508 +m0305:= a0305-r0305 +--R +--R +--R (29) +--R 2 +--R - 2a b sinh(d x + c) - 4a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R - 2a b cosh(d x + c) - 2a b +--R * +--R log(cosh(d x + c)) +--R + +--R 2 +--R 2a b sinh(d x + c) + 4a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R 2a b cosh(d x + c) + 2a b +--R * +--R 2cosh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 2 2 2 2 2 +--R b sinh(d x + c) + 2b cosh(d x + c)sinh(d x + c) + b cosh(d x + c) +--R + +--R 2 +--R b +--R * +--R tanh(d x + c) +--R + +--R 2 +--R - 2a b d x sinh(d x + c) - 4a b d x cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R - 2a b d x cosh(d x + c) - 2a b d x + 2b +--R / +--R 2 2 +--R d sinh(d x + c) + 2d cosh(d x + c)sinh(d x + c) + d cosh(d x + c) + d +--R Type: Expression Integer +--E 29 + +--S 30 of 508 +d0305:= D(m0305,x) +--R +--R +--R (30) +--R 2 4 2 3 +--R - b sinh(d x + c) - 4b cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 2 2 +--R (- 6b cosh(d x + c) - 2b )sinh(d x + c) +--R + +--R 2 3 2 +--R (- 4b cosh(d x + c) - 4b cosh(d x + c))sinh(d x + c) +--R + +--R 2 4 2 2 2 +--R - b cosh(d x + c) - 2b cosh(d x + c) - b +--R * +--R 2 +--R tanh(d x + c) +--R + +--R 2 4 2 3 +--R b sinh(d x + c) + 4b cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 2 2 +--R (6b cosh(d x + c) - 2b )sinh(d x + c) +--R + +--R 2 3 2 2 4 +--R (4b cosh(d x + c) - 4b cosh(d x + c))sinh(d x + c) + b cosh(d x + c) +--R + +--R 2 2 2 +--R - 2b cosh(d x + c) + b +--R / +--R 4 3 +--R sinh(d x + c) + 4cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (6cosh(d x + c) + 2)sinh(d x + c) +--R + +--R 3 4 +--R (4cosh(d x + c) + 4cosh(d x + c))sinh(d x + c) + cosh(d x + c) +--R + +--R 2 +--R 2cosh(d x + c) + 1 +--R Type: Expression Integer +--E 30 + +--S 31 of 508 +t0306:= 1/(4-6*tanh(x)) +--R +--R +--R 1 +--R (31) - ------------ +--R 6tanh(x) - 4 +--R Type: Expression Integer +--E 31 + +--S 32 of 508 +r0306:= -1/5*x-3/10*log(2*cosh(x)-3*sinh(x)) +--R +--R +--R - 3log(- 3sinh(x) + 2cosh(x)) - 2x +--R (32) ---------------------------------- +--R 10 +--R Type: Expression Integer +--E 32 + +--S 33 of 508 +a0306:= integrate(t0306,x) +--R +--R +--R - 6sinh(x) + 4cosh(x) +--R - 3log(---------------------) + x +--R sinh(x) - cosh(x) +--R (33) --------------------------------- +--R 10 +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 508 +m0306:= a0306-r0306 +--R +--R +--R - 6sinh(x) + 4cosh(x) +--R - 3log(---------------------) + 3log(- 3sinh(x) + 2cosh(x)) + 3x +--R sinh(x) - cosh(x) +--R (34) ---------------------------------------------------------------- +--R 10 +--R Type: Expression Integer +--E 34 + +--S 35 of 508 +d0306:= D(m0306,x) +--R +--R +--R (35) 0 +--R Type: Expression Integer +--E 35 + +--S 36 of 508 +t0307:= 1/(a+b*tanh(c+d*x)) +--R +--R +--R 1 +--R (36) ------------------- +--R b tanh(d x + c) + a +--R Type: Expression Integer +--E 36 + +--S 37 of 508 +r0307:= -(-a*d*x+b*log(a*cosh(c+d*x)+b*sinh(c+d*x)))/(a^2-b^2)/d +--R +--R +--R b log(b sinh(d x + c) + a cosh(d x + c)) - a d x +--R (37) ------------------------------------------------ +--R 2 2 +--R (b - a )d +--R Type: Expression Integer +--E 37 + +--S 38 of 508 +a0307:= integrate(t0307,x) +--R +--R +--R - 2b sinh(d x + c) - 2a cosh(d x + c) +--R b log(-------------------------------------) + (- b - a)d x +--R sinh(d x + c) - cosh(d x + c) +--R (38) ----------------------------------------------------------- +--R 2 2 +--R (b - a )d +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 508 +m0307:= a0307-r0307 +--R +--R +--R (39) +--R - b log(b sinh(d x + c) + a cosh(d x + c)) +--R + +--R - 2b sinh(d x + c) - 2a cosh(d x + c) +--R b log(-------------------------------------) - b d x +--R sinh(d x + c) - cosh(d x + c) +--R / +--R 2 2 +--R (b - a )d +--R Type: Expression Integer +--E 39 + +--S 40 of 508 +d0307:= D(m0307,x) +--R +--R +--R (40) 0 +--R Type: Expression Integer +--E 40 + +--S 41 of 508 +t0308:= 1/(1-2*tanh(x)^2) +--R +--R +--R 1 +--R (41) - ------------- +--R 2 +--R 2tanh(x) - 1 +--R Type: Expression Integer +--E 41 + +--S 42 of 508 +r0308:= -x+atanh(2^(1/2)*tanh(x))*2^(1/2) +--R +--R +--R +-+ +-+ +--R (42) \|2 atanh(\|2 tanh(x)) - x +--R Type: Expression Integer +--E 42 + +--S 43 of 508 +a0308:= integrate(t0308,x) +--R +--R +--R (43) +--R +-+ +--R \|2 +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + 2\|2 - 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R - 2x +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 508 +m0308:= a0308-r0308 +--R +--R +--R (44) +--R +-+ +--R \|2 +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + 2\|2 - 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ +-+ +--R - 2\|2 atanh(\|2 tanh(x)) +--R / +--R 2 +--R Type: Expression Integer +--E 44 + +--S 4 of 508 +d0308:= D(m0308,x) +--R +--R +--R (45) +--R +-+ 4 +-+ 3 +--R (4\|2 - 6)sinh(x) + (24\|2 - 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 56\|2 + 84)cosh(x) - 8\|2 + 12)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((24\|2 - 32)cosh(x) + (24\|2 - 32)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4\|2 - 6)cosh(x) + (- 8\|2 + 12)cosh(x) - 12\|2 + 18 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (4\|2 - 6)sinh(x) + (- 24\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((40\|2 - 60)cosh(x) - 16\|2 + 24)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 24\|2 + 32)cosh(x) + (24\|2 - 32)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4\|2 - 6)cosh(x) + (- 16\|2 + 24)cosh(x) + 12\|2 - 18 +--R / +--R +-+ 4 +-+ 3 +--R (12\|2 - 18)sinh(x) + (- 24\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((24\|2 - 36)cosh(x) - 40\|2 + 60)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 24\|2 + 32)cosh(x) + (72\|2 - 96)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (12\|2 - 18)cosh(x) + (- 40\|2 + 60)cosh(x) + 12\|2 - 18 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 12\|2 + 18)cosh(x) + 20\|2 - 30)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((12\|2 - 16)cosh(x) + (- 36\|2 + 48)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + (20\|2 - 30)cosh(x) - 6\|2 + 9 +--R Type: Expression Integer +--E 4 + +--S 46 of 508 +t0309:= 1/(1+tanh(x)^3) +--R +--R +--R 1 +--R (46) ------------ +--R 3 +--R tanh(x) + 1 +--R Type: Expression Integer +--E 46 + +--S 47 of 508 +r0309:= 1/2*x-2/9*atan(1/3*(1-2*tanh(x))*3^(1/2))*3^(1/2)-1/(6+6*tanh(x)) +--R +--R +--R +-+ +-+ +--R +-+ +-+ 2\|3 tanh(x) - \|3 +--R (4\|3 tanh(x) + 4\|3 )atan(-------------------) + 9x tanh(x) + 9x - 3 +--R 3 +--R (47) --------------------------------------------------------------------- +--R 18tanh(x) + 18 +--R Type: Expression Integer +--E 47 + +--S 48 of 508 +a0309:= integrate(t0309,x) +--R +--R +--R (48) +--R 2 2 +--R (- 8sinh(x) - 16cosh(x)sinh(x) - 8cosh(x) ) +--R * +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R atan(-------------------------) +--R 3sinh(x) - 3cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 6x\|3 sinh(x) + 12x\|3 cosh(x)sinh(x) + 6x\|3 cosh(x) - \|3 +--R / +--R +-+ 2 +-+ +-+ 2 +--R 12\|3 sinh(x) + 24\|3 cosh(x)sinh(x) + 12\|3 cosh(x) +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 508 +m0309:= a0309-r0309 +--R +--R +--R (49) +--R 2 2 2 +--R (- 8sinh(x) - 16cosh(x)sinh(x) - 8cosh(x) )tanh(x) - 8sinh(x) +--R + +--R 2 +--R - 16cosh(x)sinh(x) - 8cosh(x) +--R * +--R +-+ +-+ +--R 2\|3 tanh(x) - \|3 +--R atan(-------------------) +--R 3 +--R + +--R 2 2 2 +--R (- 8sinh(x) - 16cosh(x)sinh(x) - 8cosh(x) )tanh(x) - 8sinh(x) +--R + +--R 2 +--R - 16cosh(x)sinh(x) - 8cosh(x) +--R * +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R atan(-------------------------) +--R 3sinh(x) - 3cosh(x) +--R + +--R +-+ +-+ 2 +-+ +-+ 2 +-+ +--R - \|3 tanh(x) + 2\|3 sinh(x) + 4\|3 cosh(x)sinh(x) + 2\|3 cosh(x) - \|3 +--R / +--R +-+ 2 +-+ +-+ 2 +--R (12\|3 sinh(x) + 24\|3 cosh(x)sinh(x) + 12\|3 cosh(x) )tanh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +--R 12\|3 sinh(x) + 24\|3 cosh(x)sinh(x) + 12\|3 cosh(x) +--R Type: Expression Integer +--E 49 + +--S 50 of 508 +d0309:= D(m0309,x) +--R +--R +--R (50) +--R 4 3 2 3 +--R sinh(x) - cosh(x)sinh(x) + sinh(x) + (7cosh(x) - cosh(x))sinh(x) +--R + +--R 4 2 +--R 5cosh(x) + cosh(x) +--R * +--R 3 +--R tanh(x) +--R + +--R 4 3 2 3 +--R - 5sinh(x) - 7cosh(x)sinh(x) + sinh(x) + (cosh(x) - cosh(x))sinh(x) +--R + +--R 4 2 +--R - cosh(x) + cosh(x) +--R / +--R 4 3 3 4 3 +--R (6sinh(x) + 6cosh(x)sinh(x) + 6cosh(x) sinh(x) + 6cosh(x) )tanh(x) +--R + +--R 4 3 3 4 +--R 6sinh(x) + 6cosh(x)sinh(x) + 6cosh(x) sinh(x) + 6cosh(x) +--R Type: Expression Integer +--E 50 + +--S 51 of 508 +t0310:= (1+tanh(x)^2)^(1/2) +--R +--R +--R +------------+ +--R | 2 +--R (51) \|tanh(x) + 1 +--R Type: Expression Integer +--E 51 + +--S 52 of 508 +r0310:= -asinh(tanh(x))+2^(1/2)*atanh(2^(1/2)*tanh(x)/(1+tanh(x)^2)^(1/2)) +--R +--R +--R +-+ +--R +-+ \|2 tanh(x) +--R (52) \|2 atanh(---------------) - asinh(tanh(x)) +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R Type: Expression Integer +--E 52 + +--S 53 of 508 +a0310:= integrate(t0310,x) +--R +--R +--R (53) +--R - +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 2)sinh(x) + (4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- - 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 4cosh(x)sinh(x) - 2cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 2)sinh(x) + (- 4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) - 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 508 +m0310:= a0310-r0310 +--R +--R +--R (54) +--R - +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 2)sinh(x) + (4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- - 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 4cosh(x)sinh(x) - 2cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 2)sinh(x) + (- 4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) - 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-+ +--R +-+ \|2 tanh(x) +--R - 2\|2 atanh(---------------) + 2asinh(tanh(x)) +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R / +--R 2 +--R Type: Expression Integer +--E 54 + +--S 55 of 508 +d0310:= D(m0310,x) +--R +--R +--R (55) +--R +-+ 14 +-+ 13 +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 12 +--R (- 5\|2 cosh(x) + 9\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 11 +--R (- 12\|2 cosh(x) + 12\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 10 +--R (9\|2 cosh(x) - 30\|2 cosh(x) - 5\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 9 +--R (30\|2 cosh(x) - 36\|2 cosh(x) - 2\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 5\|2 cosh(x) + 39\|2 cosh(x) + 15\|2 cosh(x) - 9\|2 ) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) + 24\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ +--R - 12\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 5\|2 cosh(x) - 36\|2 cosh(x) - 10\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 12\|2 cosh(x) - 24\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 30\|2 cosh(x) + 24\|2 cosh(x) - 12\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 12\|2 cosh(x) + 64\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 9\|2 cosh(x) + 39\|2 cosh(x) - 10\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R - 6\|2 cosh(x) - 104\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 12\|2 cosh(x) - 36\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R 12\|2 cosh(x) + 128\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 5\|2 cosh(x) - 30\|2 cosh(x) + 15\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 12\|2 cosh(x) - 104\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 2\|2 cosh(x) + 12\|2 cosh(x) - 2\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 12\|2 cosh(x) + 64\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +-+ 8 +--R \|2 cosh(x) + 9\|2 cosh(x) - 5\|2 cosh(x) - 9\|2 cosh(x) +--R + +--R +-+ 6 +--R - 24\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 14 13 2 12 +--R - 4sinh(x) - 16cosh(x)sinh(x) + (- 12cosh(x) - 24)sinh(x) +--R + +--R 3 11 +--R (32cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (60cosh(x) + 48cosh(x) + 16)sinh(x) +--R + +--R 5 3 9 +--R (16cosh(x) + 144cosh(x) + 32cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 44cosh(x) + 24cosh(x) + 16cosh(x) + 24)sinh(x) +--R + +--R 7 5 7 +--R (- 64cosh(x) - 96cosh(x) + 48cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (- 44cosh(x) - 96cosh(x) - 32cosh(x) + 68)sinh(x) +--R + +--R 9 7 5 3 +--R (16cosh(x) - 96cosh(x) - 64cosh(x) - 48cosh(x) - 112cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R (60cosh(x) + 24cosh(x) - 32cosh(x) - 48cosh(x) + 220cosh(x) ) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (32cosh(x) + 144cosh(x) - 48cosh(x) - 224cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (- 12cosh(x) + 48cosh(x) + 16cosh(x) + 220cosh(x) )sinh(x) +--R + +--R 13 11 9 7 +--R - 16cosh(x) - 48cosh(x) + 32cosh(x) + 48cosh(x) +--R + +--R 5 +--R - 112cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - 4cosh(x) - 24cosh(x) + 16cosh(x) + 24cosh(x) + 68cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R 14 13 2 12 +--R - 2sinh(x) - 8cosh(x)sinh(x) + (- 6cosh(x) - 2)sinh(x) +--R + +--R 3 11 +--R (16cosh(x) - 4cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (30cosh(x) + 4cosh(x) + 6)sinh(x) +--R + +--R 5 3 9 +--R (8cosh(x) + 12cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 22cosh(x) + 2cosh(x) - 2cosh(x) - 18)sinh(x) +--R + +--R 7 5 7 +--R (- 32cosh(x) - 8cosh(x) + 28cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (- 22cosh(x) - 8cosh(x) - 4cosh(x) - 24)sinh(x) +--R + +--R 9 7 5 3 +--R (8cosh(x) - 8cosh(x) - 16cosh(x) - 28cosh(x) + 64cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 30cosh(x) + 2cosh(x) - 4cosh(x) + 36cosh(x) +--R + +--R 2 +--R - 104cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (16cosh(x) + 12cosh(x) - 28cosh(x) + 128cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (- 6cosh(x) + 4cosh(x) - 2cosh(x) - 104cosh(x) )sinh(x) +--R + +--R 13 11 9 7 +--R - 8cosh(x) - 4cosh(x) + 8cosh(x) + 28cosh(x) +--R + +--R 5 +--R 64cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - 2cosh(x) - 2cosh(x) + 6cosh(x) - 18cosh(x) - 24cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 14 13 2 12 +--R - 2sinh(x) - 8cosh(x)sinh(x) + (- 6cosh(x) - 2)sinh(x) +--R + +--R 3 11 +--R (16cosh(x) - 4cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (30cosh(x) + 4cosh(x) + 6)sinh(x) +--R + +--R 5 3 9 +--R (8cosh(x) + 12cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 22cosh(x) + 2cosh(x) - 2cosh(x) - 18)sinh(x) +--R + +--R 7 5 7 +--R (- 32cosh(x) - 8cosh(x) + 28cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (- 22cosh(x) - 8cosh(x) - 4cosh(x) - 24)sinh(x) +--R + +--R 9 7 5 3 5 +--R (8cosh(x) - 8cosh(x) - 16cosh(x) - 28cosh(x) + 64cosh(x))sinh(x) +--R + +--R 10 8 6 4 2 +--R (30cosh(x) + 2cosh(x) - 4cosh(x) + 36cosh(x) - 104cosh(x) ) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (16cosh(x) + 12cosh(x) - 28cosh(x) + 128cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (- 6cosh(x) + 4cosh(x) - 2cosh(x) - 104cosh(x) )sinh(x) +--R + +--R 13 11 9 7 5 +--R (- 8cosh(x) - 4cosh(x) + 8cosh(x) + 28cosh(x) + 64cosh(x) ) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - 2cosh(x) - 2cosh(x) + 6cosh(x) - 18cosh(x) - 24cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 16 +-+ 15 +--R - \|2 sinh(x) - 6\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (- 12\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (- 2\|2 cosh(x) + 8\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (28\|2 cosh(x) + 6\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (42\|2 cosh(x) - 16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 10 +--R (12\|2 cosh(x) - 30\|2 cosh(x) + 24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 34\|2 cosh(x) - 8\|2 cosh(x) + 16\|2 cosh(x) - 16\|2 cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 54\|2 cosh(x) + 22\|2 cosh(x) - 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ +--R 25\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 34\|2 cosh(x) + 32\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ +--R - 18\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 12\|2 cosh(x) + 22\|2 cosh(x) - 48\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 16\|2 cosh(x) - 16\|2 cosh(x) + 34\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +-+ 5 +--R 42\|2 cosh(x) - 8\|2 cosh(x) - 32\|2 cosh(x) + 32\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 14\|2 cosh(x) - 56\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 28\|2 cosh(x) - 30\|2 cosh(x) - 4\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 16\|2 cosh(x) - 82\|2 cosh(x) + 110\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 2\|2 cosh(x) - 16\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R - 14\|2 cosh(x) - 112\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 12\|2 cosh(x) + 6\|2 cosh(x) + 24\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 8\|2 cosh(x) - 16\|2 cosh(x) + 110\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 6\|2 cosh(x) + 8\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 16\|2 cosh(x) - 18\|2 cosh(x) - 56\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +-+ 10 +--R - \|2 cosh(x) + 2\|2 cosh(x) + 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R 25\|2 cosh(x) + 34\|2 cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R - \|2 sinh(x) - 6\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (- 12\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (- 2\|2 cosh(x) + 8\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (28\|2 cosh(x) + 6\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (42\|2 cosh(x) - 16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 10 +--R (12\|2 cosh(x) - 30\|2 cosh(x) + 24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 34\|2 cosh(x) - 8\|2 cosh(x) + 16\|2 cosh(x) - 16\|2 cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 54\|2 cosh(x) + 22\|2 cosh(x) - 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ +--R 25\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +-+ +--R (- 34\|2 cosh(x) + 32\|2 cosh(x) - 32\|2 cosh(x) - 18\|2 cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +-+ 4 +--R 12\|2 cosh(x) + 22\|2 cosh(x) - 48\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 16\|2 cosh(x) + 34\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +-+ 5 +--R 42\|2 cosh(x) - 8\|2 cosh(x) - 32\|2 cosh(x) + 32\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 14\|2 cosh(x) - 56\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +-+ 6 +--R 28\|2 cosh(x) - 30\|2 cosh(x) - 4\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R - 82\|2 cosh(x) + 110\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +-+ 5 +--R - 2\|2 cosh(x) - 16\|2 cosh(x) + 16\|2 cosh(x) - 14\|2 cosh(x) +--R + +--R +-+ 3 +--R - 112\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +-+ 8 +--R - 12\|2 cosh(x) + 6\|2 cosh(x) + 24\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 16\|2 cosh(x) + 110\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +-+ 9 +--R - 6\|2 cosh(x) + 8\|2 cosh(x) + 16\|2 cosh(x) - 16\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 18\|2 cosh(x) - 56\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +-+ 10 +--R - \|2 cosh(x) + 2\|2 cosh(x) + 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R 25\|2 cosh(x) + 34\|2 cosh(x) +--R / +--R 14 13 2 12 +--R 2sinh(x) + 8cosh(x)sinh(x) + (6cosh(x) + 2)sinh(x) +--R + +--R 3 11 +--R (- 16cosh(x) + 4cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 30cosh(x) - 4cosh(x) - 6)sinh(x) +--R + +--R 5 3 9 +--R (- 8cosh(x) - 12cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (22cosh(x) - 2cosh(x) + 2cosh(x) + 18)sinh(x) +--R + +--R 7 5 7 +--R (32cosh(x) + 8cosh(x) - 28cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (22cosh(x) + 8cosh(x) + 4cosh(x) + 24)sinh(x) +--R + +--R 9 7 5 3 +--R (- 8cosh(x) + 8cosh(x) + 16cosh(x) + 28cosh(x) - 64cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 30cosh(x) - 2cosh(x) + 4cosh(x) - 36cosh(x) +--R + +--R 2 +--R 104cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (- 16cosh(x) - 12cosh(x) + 28cosh(x) - 128cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (6cosh(x) - 4cosh(x) + 2cosh(x) + 104cosh(x) )sinh(x) +--R + +--R 13 11 9 7 5 +--R (8cosh(x) + 4cosh(x) - 8cosh(x) - 28cosh(x) - 64cosh(x) ) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R 2cosh(x) + 2cosh(x) - 6cosh(x) + 18cosh(x) + 24cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 16 +-+ 15 +--R \|2 sinh(x) + 6\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (12\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (2\|2 cosh(x) - 8\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (- 28\|2 cosh(x) - 6\|2 cosh(x) - 4\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (- 42\|2 cosh(x) + 16\|2 cosh(x) - 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 10 +--R (- 12\|2 cosh(x) + 30\|2 cosh(x) - 24\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (34\|2 cosh(x) + 8\|2 cosh(x) - 16\|2 cosh(x) + 16\|2 cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 54\|2 cosh(x) - 22\|2 cosh(x) + 4\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ +--R - 25\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +-+ +--R (34\|2 cosh(x) - 32\|2 cosh(x) + 32\|2 cosh(x) + 18\|2 cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 12\|2 cosh(x) - 22\|2 cosh(x) + 48\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 16\|2 cosh(x) + 16\|2 cosh(x) - 34\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +-+ 5 +--R - 42\|2 cosh(x) + 8\|2 cosh(x) + 32\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 14\|2 cosh(x) + 56\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 28\|2 cosh(x) + 30\|2 cosh(x) + 4\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 16\|2 cosh(x) + 82\|2 cosh(x) - 110\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +-+ 5 +--R 2\|2 cosh(x) + 16\|2 cosh(x) - 16\|2 cosh(x) + 14\|2 cosh(x) +--R + +--R +-+ 3 +--R 112\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +-+ 8 +--R 12\|2 cosh(x) - 6\|2 cosh(x) - 24\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 16\|2 cosh(x) - 110\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +-+ 9 +--R 6\|2 cosh(x) - 8\|2 cosh(x) - 16\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R 18\|2 cosh(x) + 56\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +-+ 10 +--R \|2 cosh(x) - 2\|2 cosh(x) - 4\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 25\|2 cosh(x) - 34\|2 cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R Type: Expression Integer +--E 55 + +--S 56 of 508 +t0311:= (-1-tanh(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (56) \|- tanh(x) - 1 +--R Type: Expression Integer +--E 56 + +--S 57 of 508 +r0311:= -2^(1/2)*atan(2^(1/2)*tanh(x)/(-1-tanh(x)^2)^(1/2))-atan(coth(x)*(-1-tanh(x)^2)^(1/2)) +--R +--R +--R +--------------+ +-+ +--R | 2 +-+ \|2 tanh(x) +--R (57) - atan(coth(x)\|- tanh(x) - 1 ) - \|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R Type: Expression Integer +--E 57 + +--S 58 of 508 +a0311:= integrate(t0311,x) +--R +--R +--R (58) +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 + 2)(%e ) + 2 +--R - 2\|- 1 log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + 2(%e ) + 2 +--R - \|- 2 log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 + 2)(%e ) + 2 +--R 2\|- 1 log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (- 2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) + 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 508 +m0311:= a0311-r0311 +--R +--R +--R (59) +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 + 2)(%e ) + 2 +--R - 2\|- 1 log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + 2(%e ) + 2 +--R - \|- 2 log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 + 2)(%e ) + 2 +--R 2\|- 1 log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (- 2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) + 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +--------------+ +-+ +--R | 2 +-+ \|2 tanh(x) +--R 2atan(coth(x)\|- tanh(x) - 1 ) + 2\|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R / +--R 2 +--R Type: Expression Integer +--E 59 + +--S 60 of 508 +d0311:= D(m0311,x) +--R +--R +--R (60) +--R +---+ 2 x 4 +---+ 2 2 +--R (- 3\|- 2 coth(x) (%e ) - 4\|- 2 coth(x) )tanh(x) +--R + +--R +---+ 2 +---+ x 4 +---+ 2 +---+ +--R (- 3\|- 2 coth(x) + 3\|- 2 )(%e ) - 4\|- 2 coth(x) + 4\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R x 6 x 4 x 2 3 +--R (- coth(x)(%e ) - coth(x)(%e ) - 4coth(x)(%e ) - 4coth(x))tanh(x) +--R + +--R 2 x 6 2 x 4 +--R (coth(x) + 1)(%e ) + (coth(x) + 1)(%e ) +--R + +--R 2 x 2 2 +--R (4coth(x) + 4)(%e ) + 4coth(x) + 4 +--R * +--R 2 +--R tanh(x) +--R + +--R x 6 x 4 x 2 +--R (coth(x)(%e ) + coth(x)(%e ) + 4coth(x)(%e ) + 4coth(x))tanh(x) +--R + +--R 2 x 6 2 x 4 2 x 2 +--R (coth(x) - 1)(%e ) + (coth(x) - 1)(%e ) + (4coth(x) - 4)(%e ) +--R + +--R 2 +--R 4coth(x) - 4 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R 2 x 8 2 x 4 2 2 +--R (- 2coth(x) (%e ) - 10coth(x) (%e ) - 8coth(x) )tanh(x) +--R + +--R 2 x 8 2 x 4 2 +--R (- 2coth(x) + 2)(%e ) + (- 10coth(x) + 10)(%e ) - 8coth(x) + 8 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R +---+ x 6 +---+ x 4 +---+ x 2 +--R 3\|- 2 coth(x)(%e ) + 3\|- 2 coth(x)(%e ) + 4\|- 2 coth(x)(%e ) +--R + +--R +---+ +--R 4\|- 2 coth(x) +--R * +--R 3 +--R tanh(x) +--R + +--R +---+ 2 +---+ x 6 +--R (- 3\|- 2 coth(x) - 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (- 3\|- 2 coth(x) - 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 4\|- 2 coth(x) - 4\|- 2 )(%e ) - 4\|- 2 coth(x) - 4\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ x 6 +---+ x 4 +---+ x 2 +--R - 3\|- 2 coth(x)(%e ) - 3\|- 2 coth(x)(%e ) - 4\|- 2 coth(x)(%e ) +--R + +--R +---+ +--R - 4\|- 2 coth(x) +--R * +--R tanh(x) +--R + +--R +---+ 2 +---+ x 6 +---+ 2 +---+ x 4 +--R (- 3\|- 2 coth(x) + 3\|- 2 )(%e ) + (- 3\|- 2 coth(x) + 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 4\|- 2 coth(x) + 4\|- 2 )(%e ) - 4\|- 2 coth(x) + 4\|- 2 +--R / +--R 2 x 6 2 x 4 2 x 2 2 +--R (coth(x) (%e ) + coth(x) (%e ) + 4coth(x) (%e ) + 4coth(x) ) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 x 6 2 x 4 2 x 2 +--R (coth(x) - 1)(%e ) + (coth(x) - 1)(%e ) + (4coth(x) - 4)(%e ) +--R + +--R 2 +--R 4coth(x) - 4 +--R * +--R +--------------+ +-------------+ +--R | 2 | x 4 +--R \|- tanh(x) - 1 \|- 2(%e ) - 2 +--R + +--R +---+ 2 x 6 +---+ 2 x 4 +--R - 3\|- 2 coth(x) (%e ) - 3\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 2 +---+ 2 +--R - 4\|- 2 coth(x) (%e ) - 4\|- 2 coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ 2 +---+ x 6 +--R (- 3\|- 2 coth(x) + 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (- 3\|- 2 coth(x) + 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 4\|- 2 coth(x) + 4\|- 2 )(%e ) - 4\|- 2 coth(x) + 4\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R Type: Expression Integer +--E 60 + +--S 61 of 508 +t0312:= (a+b*tanh(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (61) \|b tanh(x) + a +--R Type: Expression Integer +--E 61 + +--S 62 of 508 +r0312:= (a+b)^(1/2)*atanh((a+b)^(1/2)*tanh(x)/(a+b*tanh(x)^2)^(1/2))-b^(1/2)*atanh(coth(x)*(a+b*tanh(x)^2)^(1/2)/b^(1/2)) +--R +--R +--R (62) +--R +--------------+ +--R | 2 +-----+ +--R +-+ coth(x)\|b tanh(x) + a +-----+ tanh(x)\|b + a +--R - \|b atanh(------------------------) + \|b + a atanh(-----------------) +--R +-+ +--------------+ +--R \|b | 2 +--R \|b tanh(x) + a +--R Type: Expression Integer +--E 62 + +--S 63 of 508 +a0312:= integrate(t0312,x) +--R +--R +--R (63) +--R [ +--R (- b - a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R (b + a) +--R * +--R log +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-+ +-----+ +--R 2\|b \|b + a +--R * +--R log +--R 4 3 +--R - 2a sinh(x) - 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (- 12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 +--R (- 8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) +--R + +--R 4 2 +--R - 2a cosh(x) + (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (- 4a b - 4a )cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (- b + 2a b + a )sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 15b + 30a b + 15a )cosh(x) + b + 2a b + 3a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 +--R (- 20b + 40a b + 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 15b + 30a b + 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) - b + 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x) +--R + +--R 2 2 3 +--R (4b + 8a b + 12a )cosh(x) +--R + +--R 2 2 +--R (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b + 2a b + a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) - 2b + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (- 8b + 8a b + 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 +--R (30a b + 30a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 12b + 12a b + 24a )cosh(x) + 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (- 8b + 8a b + 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (- 2b + 2a b + 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (- 4a b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (b + a )sinh(x) + (6b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b + 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((20b + 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (15b + 15a )cosh(x) + (- 6b + 18a )cosh(x) - b +--R + +--R 2 +--R 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (6b + 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b + a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R +-----+ +--R 2\|b + a +--R , +--R +--R (- b - a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R (b + a) +--R * +--R log +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R - +--R +---+ +-----+ +--R 4\|- b \|b + a +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R / +--R +-----+ +--R 2\|b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 63 + +--S 64 of 508 +m0312a:= a0312.1-r0312 +--R +--R +--R (64) +--R (- b - a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R (b + a) +--R * +--R log +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-+ +-----+ +--R 2\|b \|b + a +--R * +--R log +--R 4 3 +--R - 2a sinh(x) - 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (- 12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 +--R (- 8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) +--R + +--R 4 2 +--R - 2a cosh(x) + (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (- 4a b - 4a )cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (- b + 2a b + a )sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 15b + 30a b + 15a )cosh(x) + b + 2a b + 3a )sinh(x) +--R + +--R 2 2 3 +--R (- 20b + 40a b + 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 15b + 30a b + 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) - b + 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (4b + 8a b + 12a )cosh(x) + (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b + 2a b + a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) - 2b + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (- 8b + 8a b + 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (30a b + 30a )cosh(x) + (- 12b + 12a b + 24a )cosh(x) +--R + +--R 2 2 +--R 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (- 8b + 8a b + 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (- 2b + 2a b + 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (- 4a b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (b + a )sinh(x) + (6b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b + 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((20b + 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (15b + 15a )cosh(x) + (- 6b + 18a )cosh(x) - b +--R + +--R 2 +--R 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (6b + 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b + a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R +--------------+ +--R | 2 +--R +-+ +-----+ coth(x)\|b tanh(x) + a +--R 2\|b \|b + a atanh(------------------------) +--R +-+ +--R \|b +--R + +--R +-----+ +--R tanh(x)\|b + a +--R (- 2b - 2a)atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R / +--R +-----+ +--R 2\|b + a +--R Type: Expression Integer +--E 64 + +--S 65 of 508 +--d0312a:= D(m0312a,x) +--E 65 + +--S 66 of 508 +m0312b:= a0312.2-r0312 +--R +--R +--R (65) +--R (- b - a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R (b + a) +--R * +--R log +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +--------------+ +--R | 2 +--R +-+ +-----+ coth(x)\|b tanh(x) + a +--R 2\|b \|b + a atanh(------------------------) +--R +-+ +--R \|b +--R + +--R +-----+ +--R tanh(x)\|b + a +--R (- 2b - 2a)atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R + +--R - +--R +---+ +-----+ +--R 4\|- b \|b + a +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R / +--R +-----+ +--R 2\|b + a +--R Type: Expression Integer +--E 66 + +--S 67 of 508 +--d0312b:= D(m0312b,x) +--E 67 + +--S 68 of 508 +t0313:= 1/(1+tanh(x)^2)^(1/2) +--R +--R +--R 1 +--R (66) --------------- +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R Type: Expression Integer +--E 68 + +--S 69 of 508 +r0313:= 1/2*2^(1/2)*atanh(2^(1/2)*tanh(x)/(1+tanh(x)^2)^(1/2)) +--R +--R +--R +-+ +--R +-+ \|2 tanh(x) +--R \|2 atanh(---------------) +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R (67) -------------------------- +--R 2 +--R Type: Expression Integer +--E 69 + +--S 70 of 508 +a0313:= integrate(t0313,x) +--R +--R +--R (68) +--R - +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +-+ 2 +--R |------------------------------------- - \|2 sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +-+ 2 +-+ +--R - 2\|2 cosh(x)sinh(x) - \|2 cosh(x) - \|2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) - 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R / +--R 4 +--R Type: Union(Expression Integer,...) +--E 70 + +--S 71 of 508 +m0313:= a0313-r0313 +--R +--R +--R (69) +--R - +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +-+ 2 +--R |------------------------------------- - \|2 sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +-+ 2 +-+ +--R - 2\|2 cosh(x)sinh(x) - \|2 cosh(x) - \|2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) - 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-+ +--R +-+ \|2 tanh(x) +--R - 2\|2 atanh(---------------) +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R / +--R 4 +--R Type: Expression Integer +--E 71 + +--S 72 of 508 +d0313:= D(m0313,x) +--R +--R +--R (70) +--R 8 2 6 5 +--R sinh(x) + (- 4cosh(x) - 3)sinh(x) + 2cosh(x)sinh(x) +--R + +--R 4 2 4 +--R (6cosh(x) + 3cosh(x) - 4)sinh(x) +--R + +--R 3 3 +--R (- 4cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 4cosh(x) + 3cosh(x) - 8cosh(x) )sinh(x) +--R + +--R 5 3 8 6 4 +--R (2cosh(x) + 8cosh(x) )sinh(x) + cosh(x) - 3cosh(x) - 4cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +-+ 6 +--R - 2\|2 sinh(x) - 4\|2 cosh(x)sinh(x) + 4\|2 sinh(x) +--R + +--R +-+ 3 5 +--R 4\|2 cosh(x) sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (4\|2 cosh(x) - 4\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (4\|2 cosh(x) - 4\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 2 +--R (- 4\|2 cosh(x) + 12\|2 cosh(x) )sinh(x) +--R + +--R +-+ 7 +-+ 3 +-+ 8 +--R (- 4\|2 cosh(x) - 4\|2 cosh(x) )sinh(x) - 2\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 4\|2 cosh(x) + 6\|2 cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R +-+ 4 +-+ 3 +-+ 2 2 +--R - 4\|2 sinh(x) + 8\|2 cosh(x)sinh(x) - 8\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R 8\|2 cosh(x) sinh(x) - 4\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 10 9 2 8 +--R 2sinh(x) + 8cosh(x)sinh(x) + 10cosh(x) sinh(x) +--R + +--R 4 6 5 5 +--R (- 12cosh(x) - 2)sinh(x) + (- 16cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 2 4 +--R (- 12cosh(x) - 14cosh(x) + 12)sinh(x) +--R + +--R 3 3 +--R (- 16cosh(x) - 8cosh(x))sinh(x) +--R + +--R 8 4 2 2 +--R (10cosh(x) - 14cosh(x) + 24cosh(x) )sinh(x) +--R + +--R 9 5 3 10 6 +--R (8cosh(x) - 8cosh(x) - 8cosh(x) )sinh(x) + 2cosh(x) - 2cosh(x) +--R + +--R 4 +--R 12cosh(x) +--R / +--R +-+ 4 +-+ 3 +-+ 2 2 +--R 4\|2 sinh(x) - 8\|2 cosh(x)sinh(x) + 8\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R - 8\|2 cosh(x) sinh(x) + 4\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 10 9 2 8 +--R - 2sinh(x) - 8cosh(x)sinh(x) - 10cosh(x) sinh(x) +--R + +--R 4 6 5 5 +--R (12cosh(x) + 2)sinh(x) + (16cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 2 4 +--R (12cosh(x) + 14cosh(x) - 12)sinh(x) +--R + +--R 3 3 +--R (16cosh(x) + 8cosh(x))sinh(x) +--R + +--R 8 4 2 2 +--R (- 10cosh(x) + 14cosh(x) - 24cosh(x) )sinh(x) +--R + +--R 9 5 3 10 6 +--R (- 8cosh(x) + 8cosh(x) + 8cosh(x) )sinh(x) - 2cosh(x) + 2cosh(x) +--R + +--R 4 +--R - 12cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R Type: Expression Integer +--E 72 + +--S 73 of 508 +t0314:= 1/(-1-tanh(x)^2)^(1/2) +--R +--R +--R 1 +--R (71) ----------------- +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R Type: Expression Integer +--E 73 + +--S 74 of 508 +r0314:= 1/2*2^(1/2)*atan(2^(1/2)*tanh(x)/(-1-tanh(x)^2)^(1/2)) +--R +--R +--R +-+ +--R +-+ \|2 tanh(x) +--R \|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R (72) --------------------------- +--R 2 +--R Type: Expression Integer +--E 74 + +--S 75 of 508 +a0314:= integrate(t0314,x) +--R +--R +--R (73) +--R +-------------+ +--R | x 4 +---+ x 2 +---+ +--R +---+ \|- 2(%e ) - 2 - \|- 2 (%e ) - \|- 2 +--R \|- 2 log(----------------------------------------) +--R x 2 +--R (%e ) +--R + +--R - +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +--R (- 2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) +--R + +--R +---+ x 2 +---+ +--R 2\|- 2 (%e ) - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R / +--R 4 +--R Type: Union(Expression Integer,...) +--E 75 + +--S 76 of 508 +m0314:= a0314-r0314 +--R +--R +--R (74) +--R +-------------+ +--R | x 4 +---+ x 2 +---+ +--R +---+ \|- 2(%e ) - 2 - \|- 2 (%e ) - \|- 2 +--R \|- 2 log(----------------------------------------) +--R x 2 +--R (%e ) +--R + +--R - +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +--R (- 2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) +--R + +--R +---+ x 2 +---+ +--R 2\|- 2 (%e ) - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +-+ +--R +-+ \|2 tanh(x) +--R - 2\|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R / +--R 4 +--R Type: Expression Integer +--E 76 + +--S 77 of 508 +d0314:= D(m0314,x) +--R +--R +--R (75) +--R +--------------+ +--R x 6 x 4 x 2 | 2 +---+ x 4 +--R (- (%e ) - (%e ) - 2(%e ) - 2)\|- tanh(x) - 1 - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 2\|- 2 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R +---+ x 6 +---+ x 4 +---+ x 2 +---+ +--R (2\|- 2 (%e ) + 2\|- 2 (%e ) + 2\|- 2 (%e ) + 2\|- 2 ) +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R x 8 x 4 +--R - 2(%e ) - 6(%e ) - 4 +--R / +--R +--------------+ +-------------+ +--R +---+ x 4 +---+ | 2 | x 4 +--R (2\|- 2 (%e ) + 2\|- 2 )\|- tanh(x) - 1 \|- 2(%e ) - 2 +--R + +--R +--------------+ +--R x 8 x 4 | 2 +--R (2(%e ) + 6(%e ) + 4)\|- tanh(x) - 1 +--R Type: Expression Integer +--E 77 + +--S 78 of 508 +t0315:= 1/(a+b*tanh(x)^2)^(1/2) +--R +--R +--R 1 +--R (76) ----------------- +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R Type: Expression Integer +--E 78 + +--S 79 of 508 +r0315:= atanh((a+b)^(1/2)*tanh(x)/(a+b*tanh(x)^2)^(1/2))/(a+b)^(1/2) +--R +--R +--R +-----+ +--R tanh(x)\|b + a +--R atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R (77) ------------------------ +--R +-----+ +--R \|b + a +--R Type: Expression Integer +--E 79 + +--S 80 of 508 +a0315:= integrate(t0315,x) +--R +--R +--R (78) +--R - +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R log +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 3 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) + 4cosh(x) sinh(x) +--R + +--R 4 +--R cosh(x) +--R / +--R +-----+ +--R 2\|b + a +--R Type: Union(Expression Integer,...) +--E 80 + +--S 81 of 508 +m0315:= a0315-r0315 +--R +--R +--R (79) +--R - +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R log +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 3 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) + 4cosh(x) sinh(x) +--R + +--R 4 +--R cosh(x) +--R + +--R +-----+ +--R tanh(x)\|b + a +--R - 2atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R / +--R +-----+ +--R 2\|b + a +--R Type: Expression Integer +--E 81 + +--S 82 of 508 +d0315:= D(m0315,x) +--R +--R +--R (80) +--R 2 8 +--R (- b - a b)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((4b + 4a b)cosh(x) + 2b + 2a b + 2a )sinh(x) +--R + +--R 5 +--R - 4a b cosh(x)sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- 6b - 6a b)cosh(x) + (- 2b - 2a b - 2a )cosh(x) + b +--R + +--R 2 +--R 3a b + 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (8a b cosh(x) + (- 4b - 8a b - 4a )cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 +--R (4b + 4a b)cosh(x) + (- 2b - 2a b - 2a )cosh(x) +--R + +--R 2 2 2 2 +--R (6b + 10a b)cosh(x) - 2b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 2 3 +--R - 4a b cosh(x) + (- 4b - 8a b - 4a )cosh(x) +--R + +--R 2 2 +--R (4b - 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (- b - a b)cosh(x) + (2b + 2a b + 2a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (b + 3a b + 4a )cosh(x) + (- 2b + 2a )cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (3b + 5a b + a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 10a b + 2a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 5b - 5a b - 3a b - 3a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 6b - 10a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b + 2a b + 6a b - 2a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 6b - 10a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (5b + 5a b + 3a b + 3a )cosh(x) - b - 7a b - 11a b - 5a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 10a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (12b - 4a b - 12a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 6a b + 6a b + 2a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (5b + 5a b + 3a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 10b - 22a b - 14a b - 2a )cosh(x) + 5b + 5a b - 5a b - 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 10a b + 2a b - 2a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b + 2a b + 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (2b + 6a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 +--R (3b + 5a b + a b - a )cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 5b - 5a b - 3a b - 3a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b - 7a b - 11a b - 5a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (5b + 5a b - 5a b - 5a )cosh(x) - 2b + 2a b + 2a b - 2a +--R * +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((2b + 2a b - 2a b - 2a )cosh(x) + 4b + 4a b + 4a b + 4a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 12a b - 12a b - 4a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 4 2 2 2 +--R (2b + 2a b - 2a b - 2a )cosh(x) + (16a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 +--R - 2b - 2a b + 2a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 12a b - 12a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 4a b - 4a b - 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (4b + 4a b + 4a b + 4a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 10 3 2 2 9 +--R (- b - 2a b - a b)sinh(x) + (- 4b - 8a b - 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 8 +--R ((- 5b - 10a b - 5a b)cosh(x) + 2b + a b - 2a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 2a b - 6a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (6b + 12a b + 6a b)cosh(x) + (4b - 4a b)cosh(x) + 2b +--R + +--R 2 3 +--R 5a b - 3a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (8b + 16a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 6b - 2a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 6a b - 2a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (6b + 12a b + 6a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 12b - 2a b + 12a b + 2a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (6b + 11a b + 8a b + 3a )cosh(x) - 8b - 7a b - 4a b - 5a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 2a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (12b + 12a b + 4a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b + 6a b + 14a b + 2a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 8 3 2 6 +--R (- 5b - 10a b - 5a b)cosh(x) + (4b - 4a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (6b + 11a b + 8a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 12b - 22a b - 12a b - 2a )cosh(x) + 7b + a b - 3a b - 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 9 +--R (- 4b - 8a b - 4a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 2a b - 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (2b + 10a b + 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 6b + 6a b + 14a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b - 10a b + 6a b + 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 10 3 2 2 3 8 +--R (- b - 2a b - a b)cosh(x) + (2b + a b - 2a b - a )cosh(x) +--R + +--R 3 2 3 6 3 2 2 3 4 +--R (2b + 5a b - 3a )cosh(x) + (- 8b - 7a b - 4a b - 5a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (7b + a b - 3a b - 5a )cosh(x) - 2b + 2a b + 2a b - 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 3 2 2 3 6 +--R (2b + 2a b - 2a b - 2a )sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((- 2b - 2a b + 2a b + 2a )cosh(x) - 4b - 4a b - 4a b - 4a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (4b + 12a b + 12a b + 4a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 2 2 2 3 2 2 3 +--R (- 16a b - 16a b)cosh(x) + 2b + 2a b - 2a b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (4b + 12a b + 12a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b - 4a b + 4a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (2b + 2a b - 2a b - 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 4b - 4a b - 4a b - 4a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (2b + 2a b - 2a b - 2a )cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 10 3 2 2 9 +--R (b + 2a b + a b)sinh(x) + (4b + 8a b + 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 8 +--R ((5b + 10a b + 5a b)cosh(x) - 2b - a b + 2a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 6b - 2a b + 6a b + 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (- 6b - 12a b - 6a b)cosh(x) + (- 4b + 4a b)cosh(x) - 2b +--R + +--R 2 3 +--R - 5a b + 3a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (- 8b - 16a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (6b + 2a b - 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 6a b + 2a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (- 6b - 12a b - 6a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (12b + 2a b - 12a b - 2a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 6b - 11a b - 8a b - 3a )cosh(x) + 8b + 7a b + 4a b + 5a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 2a b - 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 12b - 12a b - 4a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (6b - 6a b - 14a b - 2a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 8 3 2 6 +--R (5b + 10a b + 5a b)cosh(x) + (- 4b + 4a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 6b - 11a b - 8a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (12b + 22a b + 12a b + 2a )cosh(x) - 7b - a b + 3a b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 9 +--R (4b + 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (- 6b - 2a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 2b - 10a b - 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (6b - 6a b - 14a b - 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b + 10a b - 6a b - 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 10 3 2 2 3 8 +--R (b + 2a b + a b)cosh(x) + (- 2b - a b + 2a b + a )cosh(x) +--R + +--R 3 2 3 6 3 2 2 3 4 +--R (- 2b - 5a b + 3a )cosh(x) + (8b + 7a b + 4a b + 5a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 7b - a b + 3a b + 5a )cosh(x) + 2b - 2a b - 2a b + 2a +--R * +--R +-----+ +--R \|b + a +--R * +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R Type: Expression Integer +--E 82 + +--S 83 of 508 +t0316:= (1+tanh(x)^2)^(3/2) +--R +--R +--R +------------+ +--R 2 | 2 +--R (81) (tanh(x) + 1)\|tanh(x) + 1 +--R Type: Expression Integer +--E 83 + +--S 84 of 508 +r0316:= -5/2*asinh(tanh(x))+2*2^(1/2)*atanh(2^(1/2)*tanh(x)/(1+tanh(x)^2)^(1/2))-1/2*tanh(x)*(1+tanh(x)^2)^(1/2) +--R +--R +--R (82) +--R +-+ +------------+ +--R +-+ \|2 tanh(x) | 2 +--R 4\|2 atanh(---------------) - tanh(x)\|tanh(x) + 1 - 5asinh(tanh(x)) +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R ---------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 84 + +--S 85 of 508 +a0316:= integrate(t0316,x) +--R +--R +--R (83) +--R 4 3 2 2 +--R - 10sinh(x) - 40cosh(x)sinh(x) + (- 60cosh(x) - 20)sinh(x) +--R + +--R 3 4 2 +--R (- 40cosh(x) - 40cosh(x))sinh(x) - 10cosh(x) - 20cosh(x) - 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R 5\|2 sinh(x) + 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (140\|2 cosh(x) + 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (280\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (350\|2 cosh(x) + 150\|2 cosh(x) + 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (280\|2 cosh(x) + 200\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (140\|2 cosh(x) + 150\|2 cosh(x) + 90\|2 cosh(x) + 20\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (40\|2 cosh(x) + 60\|2 cosh(x) + 60\|2 cosh(x) + 40\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 5\|2 cosh(x) + 10\|2 cosh(x) + 15\|2 cosh(x) + 20\|2 cosh(x) +--R + +--R +-+ +--R 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 2)sinh(x) + (4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 2 2 +--R 10sinh(x) + 40cosh(x)sinh(x) + (60cosh(x) + 20)sinh(x) +--R + +--R 3 4 2 +--R (40cosh(x) + 40cosh(x))sinh(x) + 10cosh(x) + 20cosh(x) + 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 5\|2 sinh(x) - 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 140\|2 cosh(x) - 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 280\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 350\|2 cosh(x) - 150\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 280\|2 cosh(x) - 200\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 140\|2 cosh(x) - 150\|2 cosh(x) - 90\|2 cosh(x) - 20\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) - 60\|2 cosh(x) - 60\|2 cosh(x) +--R + +--R +-+ +--R - 40\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 5\|2 cosh(x) - 10\|2 cosh(x) - 15\|2 cosh(x) - 20\|2 cosh(x) +--R + +--R +-+ +--R - 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 2)sinh(x) + (- 4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 4\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 16\|2 cosh(x) - 16\|2 cosh(x))sinh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 8\|2 cosh(x) - 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 4sinh(x) + 32cosh(x)sinh(x) + (112cosh(x) + 8)sinh(x) +--R + +--R 3 5 +--R (224cosh(x) + 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (280cosh(x) + 120cosh(x) + 12)sinh(x) +--R + +--R 5 3 3 +--R (224cosh(x) + 160cosh(x) + 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (112cosh(x) + 120cosh(x) + 72cosh(x) + 16)sinh(x) +--R + +--R 7 5 3 8 +--R (32cosh(x) + 48cosh(x) + 48cosh(x) + 32cosh(x))sinh(x) + 4cosh(x) +--R + +--R 6 4 2 +--R 8cosh(x) + 12cosh(x) + 16cosh(x) + 8 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- - 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 4cosh(x)sinh(x) - 2cosh(x) - 2 +--R / +--R +-+ 2 +-+ +-+ 2 +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 4\|2 sinh(x) + 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) + 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 8\|2 cosh(x) + 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R - 4sinh(x) - 32cosh(x)sinh(x) + (- 112cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (- 224cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 280cosh(x) - 120cosh(x) - 12)sinh(x) +--R + +--R 5 3 3 +--R (- 224cosh(x) - 160cosh(x) - 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 112cosh(x) - 120cosh(x) - 72cosh(x) - 16)sinh(x) +--R + +--R 7 5 3 +--R (- 32cosh(x) - 48cosh(x) - 48cosh(x) - 32cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 4cosh(x) - 8cosh(x) - 12cosh(x) - 16cosh(x) - 8 +--R * +--R log +--R 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) - 4) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) - 4\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 2\|2 cosh(x) + 4\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 2 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 6\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R 4\|2 cosh(x) sinh(x) + \|2 cosh(x) +--R + +--R +-+ 6 +-+ 5 +-+ 2 +-+ 4 +--R \|2 sinh(x) + 6\|2 cosh(x)sinh(x) + (15\|2 cosh(x) + \|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (20\|2 cosh(x) + 4\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (15\|2 cosh(x) + 6\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +-+ 6 +--R (6\|2 cosh(x) + 4\|2 cosh(x) + 12\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R \|2 cosh(x) + 6\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R - 2sinh(x) - 16cosh(x)sinh(x) + (- 56cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (- 112cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 140cosh(x) - 120cosh(x) - 2)sinh(x) +--R + +--R 5 3 3 +--R (- 112cosh(x) - 160cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 56cosh(x) - 120cosh(x) - 12cosh(x) - 12)sinh(x) +--R + +--R 7 5 3 8 +--R (- 16cosh(x) - 48cosh(x) - 8cosh(x) - 24cosh(x))sinh(x) - 2cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) - 2cosh(x) - 12cosh(x) +--R / +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) + 8)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) + 16cosh(x))sinh(x) + 4cosh(x) + 8cosh(x) + 4 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 2\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 56\|2 cosh(x) - 4\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 112\|2 cosh(x) - 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 140\|2 cosh(x) - 60\|2 cosh(x) - 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 112\|2 cosh(x) - 80\|2 cosh(x) - 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (- 56\|2 cosh(x) - 60\|2 cosh(x) - 36\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 16\|2 cosh(x) - 24\|2 cosh(x) - 24\|2 cosh(x) - 16\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 2\|2 cosh(x) - 4\|2 cosh(x) - 6\|2 cosh(x) - 8\|2 cosh(x) - 4\|2 +--R Type: Union(Expression Integer,...) +--E 85 + +--S 86 of 508 +m0316:= a0316-r0316 +--R +--R +--R (84) +--R 4 3 2 2 +--R - 10sinh(x) - 40cosh(x)sinh(x) + (- 60cosh(x) - 20)sinh(x) +--R + +--R 3 4 2 +--R (- 40cosh(x) - 40cosh(x))sinh(x) - 10cosh(x) - 20cosh(x) - 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R 5\|2 sinh(x) + 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (140\|2 cosh(x) + 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (280\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (350\|2 cosh(x) + 150\|2 cosh(x) + 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (280\|2 cosh(x) + 200\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (140\|2 cosh(x) + 150\|2 cosh(x) + 90\|2 cosh(x) + 20\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (40\|2 cosh(x) + 60\|2 cosh(x) + 60\|2 cosh(x) + 40\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 5\|2 cosh(x) + 10\|2 cosh(x) + 15\|2 cosh(x) + 20\|2 cosh(x) +--R + +--R +-+ +--R 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 2)sinh(x) + (4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 2 2 +--R 10sinh(x) + 40cosh(x)sinh(x) + (60cosh(x) + 20)sinh(x) +--R + +--R 3 4 2 +--R (40cosh(x) + 40cosh(x))sinh(x) + 10cosh(x) + 20cosh(x) + 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 5\|2 sinh(x) - 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 140\|2 cosh(x) - 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 280\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 350\|2 cosh(x) - 150\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 280\|2 cosh(x) - 200\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 140\|2 cosh(x) - 150\|2 cosh(x) - 90\|2 cosh(x) - 20\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) - 60\|2 cosh(x) - 60\|2 cosh(x) +--R + +--R +-+ +--R - 40\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 5\|2 cosh(x) - 10\|2 cosh(x) - 15\|2 cosh(x) - 20\|2 cosh(x) +--R + +--R +-+ +--R - 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 2)sinh(x) + (- 4\|2 - 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 - 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 4\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 16\|2 cosh(x) - 16\|2 cosh(x))sinh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 8\|2 cosh(x) - 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 4sinh(x) + 32cosh(x)sinh(x) + (112cosh(x) + 8)sinh(x) +--R + +--R 3 5 +--R (224cosh(x) + 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (280cosh(x) + 120cosh(x) + 12)sinh(x) +--R + +--R 5 3 3 +--R (224cosh(x) + 160cosh(x) + 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (112cosh(x) + 120cosh(x) + 72cosh(x) + 16)sinh(x) +--R + +--R 7 5 3 8 +--R (32cosh(x) + 48cosh(x) + 48cosh(x) + 32cosh(x))sinh(x) + 4cosh(x) +--R + +--R 6 4 2 +--R 8cosh(x) + 12cosh(x) + 16cosh(x) + 8 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- - 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 4cosh(x)sinh(x) - 2cosh(x) - 2 +--R / +--R +-+ 2 +-+ +-+ 2 +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 4\|2 sinh(x) + 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) + 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 8\|2 cosh(x) + 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R - 4sinh(x) - 32cosh(x)sinh(x) + (- 112cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (- 224cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 280cosh(x) - 120cosh(x) - 12)sinh(x) +--R + +--R 5 3 3 +--R (- 224cosh(x) - 160cosh(x) - 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 112cosh(x) - 120cosh(x) - 72cosh(x) - 16)sinh(x) +--R + +--R 7 5 3 +--R (- 32cosh(x) - 48cosh(x) - 48cosh(x) - 32cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 4cosh(x) - 8cosh(x) - 12cosh(x) - 16cosh(x) - 8 +--R * +--R log +--R 2 2 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) - 4) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) - 4\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 2\|2 cosh(x) + 4\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 2 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 6\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R 4\|2 cosh(x) sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 8\|2 sinh(x) - 32\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 48\|2 cosh(x) - 16\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 32\|2 cosh(x) - 32\|2 cosh(x))sinh(x) - 8\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 16\|2 cosh(x) - 8\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 8sinh(x) + 64cosh(x)sinh(x) + (224cosh(x) + 16)sinh(x) +--R + +--R 3 5 +--R (448cosh(x) + 96cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (560cosh(x) + 240cosh(x) + 24)sinh(x) +--R + +--R 5 3 3 +--R (448cosh(x) + 320cosh(x) + 96cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (224cosh(x) + 240cosh(x) + 144cosh(x) + 32)sinh(x) +--R + +--R 7 5 3 8 +--R (64cosh(x) + 96cosh(x) + 96cosh(x) + 64cosh(x))sinh(x) + 8cosh(x) +--R + +--R 6 4 2 +--R 16cosh(x) + 24cosh(x) + 32cosh(x) + 16 +--R * +--R +-+ +--R \|2 tanh(x) +--R atanh(---------------) +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) + 4)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) + 8cosh(x))sinh(x) + 2cosh(x) + 4cosh(x) + 2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - \|2 sinh(x) - 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 28\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 56\|2 cosh(x) - 12\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 70\|2 cosh(x) - 30\|2 cosh(x) - 3\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 56\|2 cosh(x) - 40\|2 cosh(x) - 12\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 28\|2 cosh(x) - 30\|2 cosh(x) - 18\|2 cosh(x) - 4\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 8\|2 cosh(x) - 12\|2 cosh(x) - 12\|2 cosh(x) +--R + +--R +-+ +--R - 8\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - \|2 cosh(x) - 2\|2 cosh(x) - 3\|2 cosh(x) - 4\|2 cosh(x) +--R + +--R +-+ +--R - 2\|2 +--R * +--R tanh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R 4 3 2 2 +--R 10sinh(x) + 40cosh(x)sinh(x) + (60cosh(x) + 20)sinh(x) +--R + +--R 3 4 2 +--R (40cosh(x) + 40cosh(x))sinh(x) + 10cosh(x) + 20cosh(x) + 10 +--R * +--R asinh(tanh(x)) +--R + +--R +-+ 6 +-+ 5 +-+ 2 +-+ 4 +--R \|2 sinh(x) + 6\|2 cosh(x)sinh(x) + (15\|2 cosh(x) + \|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (20\|2 cosh(x) + 4\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (15\|2 cosh(x) + 6\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +-+ 6 +--R (6\|2 cosh(x) + 4\|2 cosh(x) + 12\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R \|2 cosh(x) + 6\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 5\|2 sinh(x) - 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 140\|2 cosh(x) - 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 280\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 350\|2 cosh(x) - 150\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 280\|2 cosh(x) - 200\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 140\|2 cosh(x) - 150\|2 cosh(x) - 90\|2 cosh(x) - 20\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) - 60\|2 cosh(x) - 60\|2 cosh(x) +--R + +--R +-+ +--R - 40\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 5\|2 cosh(x) - 10\|2 cosh(x) - 15\|2 cosh(x) - 20\|2 cosh(x) +--R + +--R +-+ +--R - 10\|2 +--R * +--R asinh(tanh(x)) +--R + +--R 8 7 2 6 +--R - 2sinh(x) - 16cosh(x)sinh(x) + (- 56cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (- 112cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 140cosh(x) - 120cosh(x) - 2)sinh(x) +--R + +--R 5 3 3 +--R (- 112cosh(x) - 160cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 56cosh(x) - 120cosh(x) - 12cosh(x) - 12)sinh(x) +--R + +--R 7 5 3 8 +--R (- 16cosh(x) - 48cosh(x) - 8cosh(x) - 24cosh(x))sinh(x) - 2cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) - 2cosh(x) - 12cosh(x) +--R / +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) + 8)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) + 16cosh(x))sinh(x) + 4cosh(x) + 8cosh(x) + 4 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 2\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 56\|2 cosh(x) - 4\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 112\|2 cosh(x) - 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 140\|2 cosh(x) - 60\|2 cosh(x) - 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 112\|2 cosh(x) - 80\|2 cosh(x) - 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (- 56\|2 cosh(x) - 60\|2 cosh(x) - 36\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 16\|2 cosh(x) - 24\|2 cosh(x) - 24\|2 cosh(x) - 16\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 2\|2 cosh(x) - 4\|2 cosh(x) - 6\|2 cosh(x) - 8\|2 cosh(x) - 4\|2 +--R Type: Expression Integer +--E 86 + +--S 87 of 508 +d0316:= D(m0316,x) +--R +--R +--R (85) +--R +-+ 30 +-+ 29 +--R 7\|2 sinh(x) + 98\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 28 +--R (581\|2 cosh(x) + 38\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 27 +--R (1764\|2 cosh(x) + 476\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 26 +--R (2107\|2 cosh(x) + 2484\|2 cosh(x) + 201\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 3626\|2 cosh(x) + 6412\|2 cosh(x) + 2246\|2 cosh(x)) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 17591\|2 cosh(x) + 5410\|2 cosh(x) + 10269\|2 cosh(x) +--R + +--R +-+ +--R 630\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 22232\|2 cosh(x) - 14616\|2 cosh(x) + 22200\|2 cosh(x) +--R + +--R +-+ +--R 5920\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 13867\|2 cosh(x) - 46712\|2 cosh(x) + 10406\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 21432\|2 cosh(x) + 1045\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 78386\|2 cosh(x) - 35288\|2 cosh(x) - 59124\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 29664\|2 cosh(x) + 6846\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 79233\|2 cosh(x) + 58806\|2 cosh(x) - 135594\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 24596\|2 cosh(x) + 10243\|2 cosh(x) + 1630\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 48804\|2 cosh(x) + 137940\|2 cosh(x) - 72232\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 139936\|2 cosh(x) - 33388\|2 cosh(x) + 6956\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 188993\|2 cosh(x) + 42636\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 148395\|2 cosh(x) - 148776\|2 cosh(x) - 144737\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 4612\|2 cosh(x) + 435\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 132202\|2 cosh(x) - 162108\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 270042\|2 cosh(x) + 80288\|2 cosh(x) - 167578\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 73908\|2 cosh(x) - 6262\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R 110789\|2 cosh(x) - 178942\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 106063\|2 cosh(x) + 312362\|2 cosh(x) + 103385\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 137658\|2 cosh(x) - 45829\|2 cosh(x) + 718\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R 253232\|2 cosh(x) + 67184\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 119952\|2 cosh(x) + 213312\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 470768\|2 cosh(x) - 10256\|2 cosh(x) - 93584\|2 cosh(x) +--R + +--R +-+ +--R - 8328\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R 110789\|2 cosh(x) + 232560\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 139740\|2 cosh(x) - 75408\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 440162\|2 cosh(x) + 257104\|2 cosh(x) - 14180\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 42336\|2 cosh(x) - 5816\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 132202\|2 cosh(x) + 67184\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 86360\|2 cosh(x) - 189248\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 11812\|2 cosh(x) + 289968\|2 cosh(x) + 195736\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 43096\|2 cosh(x) - 21680\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 188993\|2 cosh(x) - 178942\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 139740\|2 cosh(x) - 171288\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 410098\|2 cosh(x) + 14172\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 243532\|2 cosh(x) + 50216\|2 cosh(x) - 19688\|2 cosh(x) +--R + +--R +-+ +--R - 8424\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 48804\|2 cosh(x) - 162108\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 119952\|2 cosh(x) - 189248\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 529672\|2 cosh(x) - 212760\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 20240\|2 cosh(x) + 99384\|2 cosh(x) + 18720\|2 cosh(x) +--R + +--R +-+ +--R - 13600\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 79233\|2 cosh(x) + 42636\|2 cosh(x) + 106063\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 75408\|2 cosh(x) - 410098\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 261272\|2 cosh(x) - 183958\|2 cosh(x) + 8928\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 38664\|2 cosh(x) + 304\|2 cosh(x) - 3520\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +--R 78386\|2 cosh(x) + 137940\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 270042\|2 cosh(x) + 213312\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 11812\|2 cosh(x) - 212760\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 232260\|2 cosh(x) - 47960\|2 cosh(x) + 9648\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 5984\|2 cosh(x) + 2688\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 13867\|2 cosh(x) + 58806\|2 cosh(x) + 148395\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 312362\|2 cosh(x) + 440162\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 14172\|2 cosh(x) - 183958\|2 cosh(x) - 35052\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 13160\|2 cosh(x) + 4968\|2 cosh(x) - 704\|2 cosh(x) +--R + +--R +-+ +--R - 2240\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +--R - 22232\|2 cosh(x) - 35288\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 72232\|2 cosh(x) + 80288\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 470768\|2 cosh(x) + 289968\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 20240\|2 cosh(x) - 47960\|2 cosh(x) - 13376\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 7616\|2 cosh(x) - 512\|2 cosh(x) + 7808\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +--R - 17591\|2 cosh(x) - 46712\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 135594\|2 cosh(x) - 148776\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 103385\|2 cosh(x) + 257104\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 243532\|2 cosh(x) + 8928\|2 cosh(x) - 13160\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 6304\|2 cosh(x) + 4224\|2 cosh(x) - 16384\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R - 3626\|2 cosh(x) - 14616\|2 cosh(x) - 59124\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 139936\|2 cosh(x) - 167578\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 10256\|2 cosh(x) + 195736\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 99384\|2 cosh(x) + 9648\|2 cosh(x) + 7616\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R - 4352\|2 cosh(x) + 24960\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 2107\|2 cosh(x) + 5410\|2 cosh(x) + 10406\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 24596\|2 cosh(x) - 144737\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 137658\|2 cosh(x) - 14180\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 50216\|2 cosh(x) + 38664\|2 cosh(x) + 4968\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 4224\|2 cosh(x) - 28288\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R 1764\|2 cosh(x) + 6412\|2 cosh(x) + 22200\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 29664\|2 cosh(x) - 33388\|2 cosh(x) - 73908\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 93584\|2 cosh(x) - 43096\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 18720\|2 cosh(x) + 5984\|2 cosh(x) - 512\|2 cosh(x) +--R + +--R +-+ 5 +--R 24960\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R 581\|2 cosh(x) + 2484\|2 cosh(x) + 10269\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 21432\|2 cosh(x) + 10243\|2 cosh(x) - 4612\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 45829\|2 cosh(x) - 42336\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 19688\|2 cosh(x) + 304\|2 cosh(x) - 704\|2 cosh(x) +--R + +--R +-+ 6 +--R - 16384\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R 98\|2 cosh(x) + 476\|2 cosh(x) + 2246\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 5920\|2 cosh(x) + 6846\|2 cosh(x) + 6956\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 6262\|2 cosh(x) - 8328\|2 cosh(x) - 21680\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 13600\|2 cosh(x) + 2688\|2 cosh(x) + 7808\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R 7\|2 cosh(x) + 38\|2 cosh(x) + 201\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 630\|2 cosh(x) + 1045\|2 cosh(x) + 1630\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 435\|2 cosh(x) + 718\|2 cosh(x) - 5816\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 8424\|2 cosh(x) - 3520\|2 cosh(x) - 2240\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 30 29 2 28 +--R - 32sinh(x) - 512cosh(x)sinh(x) + (- 3680cosh(x) - 120)sinh(x) +--R + +--R 3 27 +--R (- 15360cosh(x) - 1680cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (- 39328cosh(x) - 10320cosh(x) - 528)sinh(x) +--R + +--R 5 3 25 +--R (- 54784cosh(x) - 35280cosh(x) - 6176cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (544cosh(x) - 66600cosh(x) - 29968cosh(x) - 1736)sinh(x) +--R + +--R 7 5 3 +--R (174080cosh(x) - 36960cosh(x) - 70400cosh(x) - 17712cosh(x)) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 364640cosh(x) + 142560cosh(x) - 40352cosh(x) - 73664cosh(x) +--R + +--R - 2992 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 298496cosh(x) + 404640cosh(x) + 222400cosh(x) - 143696cosh(x) +--R + +--R - 23104cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R - 193248cosh(x) + 415560cosh(x) + 658016cosh(x) +--R + +--R 4 2 +--R - 54352cosh(x) - 60240cosh(x) - 4664 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R - 820224cosh(x) - 116400cosh(x) + 688384cosh(x) +--R + +--R 5 3 +--R 342640cosh(x) - 9856cosh(x) - 25232cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R - 945440cosh(x) - 907440cosh(x) - 288240cosh(x) +--R + +--R 6 4 2 +--R 708928cosh(x) + 274032cosh(x) - 20912cosh(x) - 1232 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R - 243200cosh(x) - 1144560cosh(x) - 1788384cosh(x) +--R + +--R 7 5 3 +--R 341264cosh(x) + 572096cosh(x) + 152560cosh(x) + 16672cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R 816544cosh(x) - 348840cosh(x) - 2219248cosh(x) +--R + +--R 8 6 4 +--R - 742840cosh(x) + 260752cosh(x) + 489256cosh(x) +--R + +--R 2 +--R 148592cosh(x) - 2008 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R 1323008cosh(x) + 930240cosh(x) - 617984cosh(x) +--R + +--R 9 7 5 +--R - 1376992cosh(x) - 704000cosh(x) + 561856cosh(x) +--R + +--R 3 +--R 441216cosh(x) + 21936cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R 816544cosh(x) + 1550400cosh(x) + 1920320cosh(x) +--R + +--R 10 8 6 +--R - 635264cosh(x) - 1254880cosh(x) + 83392cosh(x) +--R + +--R 4 2 +--R 619008cosh(x) + 143456cosh(x) + 16464 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R - 243200cosh(x) + 930240cosh(x) + 3144320cosh(x) +--R + +--R 11 9 7 +--R 854496cosh(x) - 548992cosh(x) - 448064cosh(x) +--R + +--R 5 3 +--R 369792cosh(x) + 288144cosh(x) + 77888cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R - 945440cosh(x) - 348840cosh(x) + 1920320cosh(x) +--R + +--R 12 10 8 +--R 1597856cosh(x) + 783328cosh(x) - 484592cosh(x) +--R + +--R 6 4 2 +--R - 65664cosh(x) + 231072cosh(x) + 141808cosh(x) + 23824 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R - 820224cosh(x) - 1144560cosh(x) - 617984cosh(x) +--R + +--R 13 11 9 +--R 854496cosh(x) + 1427712cosh(x) - 241120cosh(x) +--R + +--R 7 5 3 +--R - 310144cosh(x) + 32048cosh(x) + 116608cosh(x) + 62240cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R - 193248cosh(x) - 907440cosh(x) - 2219248cosh(x) +--R + +--R 14 12 10 +--R - 635264cosh(x) + 783328cosh(x) - 124960cosh(x) +--R + +--R 8 6 4 2 +--R - 438560cosh(x) - 110688cosh(x) + 16464cosh(x) + 72928cosh(x) +--R + +--R 9952 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R 298496cosh(x) - 116400cosh(x) - 1788384cosh(x) +--R + +--R 15 13 11 +--R - 1376992cosh(x) - 548992cosh(x) - 241120cosh(x) +--R + +--R 9 7 5 3 +--R - 510784cosh(x) - 276592cosh(x) - 94272cosh(x) + 73888cosh(x) +--R + +--R 2304cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R 364640cosh(x) + 415560cosh(x) - 288240cosh(x) +--R + +--R 16 14 12 +--R - 742840cosh(x) - 1254880cosh(x) - 484592cosh(x) +--R + +--R 10 8 6 +--R - 438560cosh(x) - 392592cosh(x) - 207504cosh(x) +--R + +--R 4 2 +--R 54000cosh(x) + 9056cosh(x) + 6336 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R 174080cosh(x) + 404640cosh(x) + 688384cosh(x) +--R + +--R 17 15 13 +--R 341264cosh(x) - 704000cosh(x) - 448064cosh(x) +--R + +--R 11 9 7 +--R - 310144cosh(x) - 276592cosh(x) - 265984cosh(x) +--R + +--R 5 3 +--R 19520cosh(x) + 6144cosh(x) - 15744cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 +--R 544cosh(x) + 142560cosh(x) + 658016cosh(x) +--R + +--R 18 16 14 +--R 708928cosh(x) + 260752cosh(x) + 83392cosh(x) +--R + +--R 12 10 8 +--R - 65664cosh(x) - 110688cosh(x) - 207504cosh(x) +--R + +--R 6 4 2 +--R 9792cosh(x) - 6720cosh(x) + 33792cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R - 54784cosh(x) - 36960cosh(x) + 222400cosh(x) +--R + +--R 19 17 15 +--R 342640cosh(x) + 572096cosh(x) + 561856cosh(x) +--R + +--R 13 11 9 7 +--R 369792cosh(x) + 32048cosh(x) - 94272cosh(x) + 19520cosh(x) +--R + +--R 5 3 +--R 7680cosh(x) - 47744cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R - 39328cosh(x) - 66600cosh(x) - 40352cosh(x) +--R + +--R 20 18 16 +--R - 54352cosh(x) + 274032cosh(x) + 489256cosh(x) +--R + +--R 14 12 10 +--R 619008cosh(x) + 231072cosh(x) + 16464cosh(x) +--R + +--R 8 6 4 +--R 54000cosh(x) - 6720cosh(x) + 54912cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R - 15360cosh(x) - 35280cosh(x) - 70400cosh(x) +--R + +--R 21 19 17 +--R - 143696cosh(x) - 9856cosh(x) + 152560cosh(x) +--R + +--R 15 13 11 +--R 441216cosh(x) + 288144cosh(x) + 116608cosh(x) +--R + +--R 9 7 5 +--R 73888cosh(x) + 6144cosh(x) - 47744cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 +--R - 3680cosh(x) - 10320cosh(x) - 29968cosh(x) +--R + +--R 22 20 18 +--R - 73664cosh(x) - 60240cosh(x) - 20912cosh(x) +--R + +--R 16 14 12 +--R 148592cosh(x) + 143456cosh(x) + 141808cosh(x) +--R + +--R 10 8 6 +--R 72928cosh(x) + 9056cosh(x) + 33792cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R - 512cosh(x) - 1680cosh(x) - 6176cosh(x) - 17712cosh(x) +--R + +--R 21 19 17 +--R - 23104cosh(x) - 25232cosh(x) + 16672cosh(x) +--R + +--R 15 13 11 9 +--R 21936cosh(x) + 77888cosh(x) + 62240cosh(x) + 2304cosh(x) +--R + +--R 7 +--R - 15744cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R - 32cosh(x) - 120cosh(x) - 528cosh(x) - 1736cosh(x) +--R + +--R 22 20 18 16 +--R - 2992cosh(x) - 4664cosh(x) - 1232cosh(x) - 2008cosh(x) +--R + +--R 14 12 10 8 +--R 16464cosh(x) + 23824cosh(x) + 9952cosh(x) + 6336cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R 30 29 2 28 +--R - 4sinh(x) - 64cosh(x)sinh(x) + (- 460cosh(x) - 8)sinh(x) +--R + +--R 3 27 +--R (- 1920cosh(x) - 112cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (- 4916cosh(x) - 688cosh(x) - 20)sinh(x) +--R + +--R 5 3 25 +--R (- 6848cosh(x) - 2352cosh(x) - 224cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (68cosh(x) - 4440cosh(x) - 996cosh(x) - 120)sinh(x) +--R + +--R 7 5 3 +--R (21760cosh(x) - 2464cosh(x) - 1792cosh(x) - 1232cosh(x)) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 45580cosh(x) + 9504cosh(x) + 1672cosh(x) - 5184cosh(x) +--R + +--R - 276 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 37312cosh(x) + 26976cosh(x) + 15680cosh(x) - 10416cosh(x) +--R + +--R - 2336cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R - 24156cosh(x) + 27704cosh(x) + 34248cosh(x) +--R + +--R 4 2 +--R - 5168cosh(x) - 7628cosh(x) - 728 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R - 102528cosh(x) - 7760cosh(x) + 27904cosh(x) +--R + +--R 5 3 +--R 21392cosh(x) - 9792cosh(x) - 4912cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R - 118180cosh(x) - 60496cosh(x) - 28988cosh(x) +--R + +--R 6 4 2 +--R 47808cosh(x) + 5316cosh(x) - 11504cosh(x) - 1676 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R - 30400cosh(x) - 76304cosh(x) - 105760cosh(x) +--R + +--R 7 5 3 +--R 26864cosh(x) + 32096cosh(x) - 5040cosh(x) - 8384cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R 102068cosh(x) - 23256cosh(x) - 119884cosh(x) +--R + +--R 8 6 4 +--R - 42760cosh(x) + 31964cosh(x) + 25352cosh(x) +--R + +--R 2 +--R - 11372cosh(x) - 2792 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R 165376cosh(x) + 62016cosh(x) - 26112cosh(x) +--R + +--R 9 7 5 +--R - 86304cosh(x) - 11008cosh(x) + 49728cosh(x) +--R + +--R 3 +--R 9728cosh(x) - 9104cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R 102068cosh(x) + 103360cosh(x) + 113968cosh(x) +--R + +--R 10 8 6 +--R - 42624cosh(x) - 47368cosh(x) + 32448cosh(x) +--R + +--R 4 2 +--R 40528cosh(x) - 2528cosh(x) - 4648 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R - 30400cosh(x) + 62016cosh(x) + 180608cosh(x) +--R + +--R 11 9 7 5 +--R 49696cosh(x) - 29760cosh(x) - 4288cosh(x) + 38656cosh(x) +--R + +--R 3 +--R 19664cosh(x) - 7936cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R - 118180cosh(x) - 23256cosh(x) + 113968cosh(x) +--R + +--R 12 10 8 +--R 96096cosh(x) + 17992cosh(x) - 24624cosh(x) +--R + +--R 6 4 2 +--R 12560cosh(x) + 22368cosh(x) + 5960cosh(x) - 6048 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R - 102528cosh(x) - 76304cosh(x) - 26112cosh(x) +--R + +--R 13 11 9 +--R 49696cosh(x) + 41600cosh(x) - 35488cosh(x) +--R + +--R 7 5 3 +--R - 9728cosh(x) + 7920cosh(x) + 10240cosh(x) - 448cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R - 24156cosh(x) - 60496cosh(x) - 119884cosh(x) +--R + +--R 14 12 10 +--R - 42624cosh(x) + 17992cosh(x) - 41888cosh(x) +--R + +--R 8 6 4 2 +--R - 40040cosh(x) + 2528cosh(x) - 1256cosh(x) + 7488cosh(x) +--R + +--R - 4192 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R 37312cosh(x) - 7760cosh(x) - 105760cosh(x) +--R + +--R 15 13 11 +--R - 86304cosh(x) - 29760cosh(x) - 35488cosh(x) +--R + +--R 9 7 5 3 +--R - 60544cosh(x) - 18480cosh(x) + 7936cosh(x) - 7872cosh(x) +--R + +--R 7040cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R 45580cosh(x) + 27704cosh(x) - 28988cosh(x) +--R + +--R 16 14 12 +--R - 42760cosh(x) - 47368cosh(x) - 24624cosh(x) +--R + +--R 10 8 6 4 +--R - 40040cosh(x) - 39152cosh(x) - 56cosh(x) + 6048cosh(x) +--R + +--R 2 +--R - 6112cosh(x) - 1120 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R 21760cosh(x) + 26976cosh(x) + 27904cosh(x) +--R + +--R 17 15 13 +--R 26864cosh(x) - 11008cosh(x) - 4288cosh(x) +--R + +--R 11 9 7 +--R - 9728cosh(x) - 18480cosh(x) - 20480cosh(x) +--R + +--R 5 +--R 8320cosh(x) + 3904cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 18 +--R 68cosh(x) + 9504cosh(x) + 34248cosh(x) + 47808cosh(x) +--R + +--R 16 14 12 +--R 31964cosh(x) + 32448cosh(x) + 12560cosh(x) +--R + +--R 10 8 6 4 +--R 2528cosh(x) - 56cosh(x) - 14976cosh(x) + 10304cosh(x) +--R + +--R 2 +--R - 8192cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R - 6848cosh(x) - 2464cosh(x) + 15680cosh(x) +--R + +--R 19 17 15 +--R 21392cosh(x) + 32096cosh(x) + 49728cosh(x) +--R + +--R 13 11 9 7 +--R 38656cosh(x) + 7920cosh(x) + 7936cosh(x) + 8320cosh(x) +--R + +--R 5 3 +--R - 14080cosh(x) + 12480cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R - 4916cosh(x) - 4440cosh(x) + 1672cosh(x) +--R + +--R 20 18 16 +--R - 5168cosh(x) + 5316cosh(x) + 25352cosh(x) +--R + +--R 14 12 10 +--R 40528cosh(x) + 22368cosh(x) - 1256cosh(x) +--R + +--R 8 6 4 +--R 6048cosh(x) + 10304cosh(x) - 14144cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R - 1920cosh(x) - 2352cosh(x) - 1792cosh(x) +--R + +--R 21 19 17 +--R - 10416cosh(x) - 9792cosh(x) - 5040cosh(x) +--R + +--R 15 13 11 +--R 9728cosh(x) + 19664cosh(x) + 10240cosh(x) +--R + +--R 9 5 +--R - 7872cosh(x) + 12480cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 22 +--R - 460cosh(x) - 688cosh(x) - 996cosh(x) - 5184cosh(x) +--R + +--R 20 18 16 +--R - 7628cosh(x) - 11504cosh(x) - 11372cosh(x) +--R + +--R 14 12 10 +--R - 2528cosh(x) + 5960cosh(x) + 7488cosh(x) +--R + +--R 8 6 +--R - 6112cosh(x) - 8192cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R - 64cosh(x) - 112cosh(x) - 224cosh(x) - 1232cosh(x) +--R + +--R 21 19 17 +--R - 2336cosh(x) - 4912cosh(x) - 8384cosh(x) +--R + +--R 15 13 11 9 +--R - 9104cosh(x) - 7936cosh(x) - 448cosh(x) + 7040cosh(x) +--R + +--R 7 +--R 3904cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R - 4cosh(x) - 8cosh(x) - 20cosh(x) - 120cosh(x) +--R + +--R 22 20 18 16 +--R - 276cosh(x) - 728cosh(x) - 1676cosh(x) - 2792cosh(x) +--R + +--R 14 12 10 8 +--R - 4648cosh(x) - 6048cosh(x) - 4192cosh(x) - 1120cosh(x) +--R * +--R 4 +--R tanh(x) +--R + +--R 30 29 +--R - 8sinh(x) - 128cosh(x)sinh(x) +--R + +--R 2 28 +--R (- 920cosh(x) - 16)sinh(x) +--R + +--R 3 27 +--R (- 3840cosh(x) - 224cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (- 9832cosh(x) - 1376cosh(x) - 40)sinh(x) +--R + +--R 5 3 25 +--R (- 13696cosh(x) - 4704cosh(x) - 448cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (136cosh(x) - 8880cosh(x) - 1992cosh(x) - 240)sinh(x) +--R + +--R 7 5 3 +--R (43520cosh(x) - 4928cosh(x) - 3584cosh(x) - 2464cosh(x)) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 91160cosh(x) + 19008cosh(x) + 3344cosh(x) - 10368cosh(x) +--R + +--R - 552 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 74624cosh(x) + 53952cosh(x) + 31360cosh(x) - 20832cosh(x) +--R + +--R - 4672cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R - 48312cosh(x) + 55408cosh(x) + 68496cosh(x) +--R + +--R 4 2 +--R - 10336cosh(x) - 15256cosh(x) - 1456 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R - 205056cosh(x) - 15520cosh(x) + 55808cosh(x) +--R + +--R 5 3 +--R 42784cosh(x) - 19584cosh(x) - 9824cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R - 236360cosh(x) - 120992cosh(x) - 57976cosh(x) +--R + +--R 6 4 2 +--R 95616cosh(x) + 10632cosh(x) - 23008cosh(x) - 3352 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R - 60800cosh(x) - 152608cosh(x) - 211520cosh(x) +--R + +--R 7 5 3 +--R 53728cosh(x) + 64192cosh(x) - 10080cosh(x) - 16768cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R 204136cosh(x) - 46512cosh(x) - 239768cosh(x) +--R + +--R 8 6 4 +--R - 85520cosh(x) + 63928cosh(x) + 50704cosh(x) +--R + +--R 2 +--R - 22744cosh(x) - 5584 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R 330752cosh(x) + 124032cosh(x) - 52224cosh(x) +--R + +--R 9 7 5 +--R - 172608cosh(x) - 22016cosh(x) + 99456cosh(x) +--R + +--R 3 +--R 19456cosh(x) - 18208cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R 204136cosh(x) + 206720cosh(x) + 227936cosh(x) +--R + +--R 10 8 6 +--R - 85248cosh(x) - 94736cosh(x) + 64896cosh(x) +--R + +--R 4 2 +--R 81056cosh(x) - 5056cosh(x) - 9296 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R - 60800cosh(x) + 124032cosh(x) + 361216cosh(x) +--R + +--R 11 9 7 5 +--R 99392cosh(x) - 59520cosh(x) - 8576cosh(x) + 77312cosh(x) +--R + +--R 3 +--R 39328cosh(x) - 15872cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R - 236360cosh(x) - 46512cosh(x) + 227936cosh(x) +--R + +--R 12 10 8 +--R 192192cosh(x) + 35984cosh(x) - 49248cosh(x) +--R + +--R 6 4 2 +--R 25120cosh(x) + 44736cosh(x) + 11920cosh(x) - 12096 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R - 205056cosh(x) - 152608cosh(x) - 52224cosh(x) +--R + +--R 13 11 9 +--R 99392cosh(x) + 83200cosh(x) - 70976cosh(x) +--R + +--R 7 5 3 +--R - 19456cosh(x) + 15840cosh(x) + 20480cosh(x) - 896cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R - 48312cosh(x) - 120992cosh(x) - 239768cosh(x) +--R + +--R 14 12 10 +--R - 85248cosh(x) + 35984cosh(x) - 83776cosh(x) +--R + +--R 8 6 4 2 +--R - 80080cosh(x) + 5056cosh(x) - 2512cosh(x) + 14976cosh(x) +--R + +--R - 8384 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R 74624cosh(x) - 15520cosh(x) - 211520cosh(x) +--R + +--R 15 13 11 +--R - 172608cosh(x) - 59520cosh(x) - 70976cosh(x) +--R + +--R 9 7 5 +--R - 121088cosh(x) - 36960cosh(x) + 15872cosh(x) +--R + +--R 3 +--R - 15744cosh(x) + 14080cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R 91160cosh(x) + 55408cosh(x) - 57976cosh(x) +--R + +--R 16 14 12 +--R - 85520cosh(x) - 94736cosh(x) - 49248cosh(x) +--R + +--R 10 8 6 +--R - 80080cosh(x) - 78304cosh(x) - 112cosh(x) +--R + +--R 4 2 +--R 12096cosh(x) - 12224cosh(x) - 2240 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R 43520cosh(x) + 53952cosh(x) + 55808cosh(x) +--R + +--R 17 15 13 +--R 53728cosh(x) - 22016cosh(x) - 8576cosh(x) +--R + +--R 11 9 7 +--R - 19456cosh(x) - 36960cosh(x) - 40960cosh(x) +--R + +--R 5 +--R 16640cosh(x) + 7808cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 +--R 136cosh(x) + 19008cosh(x) + 68496cosh(x) +--R + +--R 18 16 14 +--R 95616cosh(x) + 63928cosh(x) + 64896cosh(x) +--R + +--R 12 10 8 6 +--R 25120cosh(x) + 5056cosh(x) - 112cosh(x) - 29952cosh(x) +--R + +--R 4 2 +--R 20608cosh(x) - 16384cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R - 13696cosh(x) - 4928cosh(x) + 31360cosh(x) +--R + +--R 19 17 15 +--R 42784cosh(x) + 64192cosh(x) + 99456cosh(x) +--R + +--R 13 11 9 +--R 77312cosh(x) + 15840cosh(x) + 15872cosh(x) +--R + +--R 7 5 3 +--R 16640cosh(x) - 28160cosh(x) + 24960cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R - 9832cosh(x) - 8880cosh(x) + 3344cosh(x) +--R + +--R 20 18 16 +--R - 10336cosh(x) + 10632cosh(x) + 50704cosh(x) +--R + +--R 14 12 10 +--R 81056cosh(x) + 44736cosh(x) - 2512cosh(x) +--R + +--R 8 6 4 +--R 12096cosh(x) + 20608cosh(x) - 28288cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R - 3840cosh(x) - 4704cosh(x) - 3584cosh(x) +--R + +--R 21 19 17 +--R - 20832cosh(x) - 19584cosh(x) - 10080cosh(x) +--R + +--R 15 13 11 +--R 19456cosh(x) + 39328cosh(x) + 20480cosh(x) +--R + +--R 9 5 +--R - 15744cosh(x) + 24960cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 +--R - 920cosh(x) - 1376cosh(x) - 1992cosh(x) +--R + +--R 22 20 18 +--R - 10368cosh(x) - 15256cosh(x) - 23008cosh(x) +--R + +--R 16 14 12 +--R - 22744cosh(x) - 5056cosh(x) + 11920cosh(x) +--R + +--R 10 8 6 +--R 14976cosh(x) - 12224cosh(x) - 16384cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R - 128cosh(x) - 224cosh(x) - 448cosh(x) - 2464cosh(x) +--R + +--R 21 19 17 +--R - 4672cosh(x) - 9824cosh(x) - 16768cosh(x) +--R + +--R 15 13 11 +--R - 18208cosh(x) - 15872cosh(x) - 896cosh(x) +--R + +--R 9 7 +--R 14080cosh(x) + 7808cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R - 8cosh(x) - 16cosh(x) - 40cosh(x) - 240cosh(x) +--R + +--R 22 20 18 16 +--R - 552cosh(x) - 1456cosh(x) - 3352cosh(x) - 5584cosh(x) +--R + +--R 14 12 10 8 +--R - 9296cosh(x) - 12096cosh(x) - 8384cosh(x) - 2240cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 30 29 2 28 +--R - 4sinh(x) - 64cosh(x)sinh(x) + (- 460cosh(x) - 8)sinh(x) +--R + +--R 3 27 +--R (- 1920cosh(x) - 112cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (- 4916cosh(x) - 688cosh(x) - 20)sinh(x) +--R + +--R 5 3 25 +--R (- 6848cosh(x) - 2352cosh(x) - 224cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (68cosh(x) - 4440cosh(x) - 996cosh(x) - 120)sinh(x) +--R + +--R 7 5 3 23 +--R (21760cosh(x) - 2464cosh(x) - 1792cosh(x) - 1232cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (45580cosh(x) + 9504cosh(x) + 1672cosh(x) - 5184cosh(x) - 276) +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 37312cosh(x) + 26976cosh(x) + 15680cosh(x) - 10416cosh(x) +--R + +--R - 2336cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 24156cosh(x) + 27704cosh(x) + 34248cosh(x) - 5168cosh(x) +--R + +--R 2 +--R - 7628cosh(x) - 728 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 102528cosh(x) - 7760cosh(x) + 27904cosh(x) + 21392cosh(x) +--R + +--R 3 +--R - 9792cosh(x) - 4912cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R - 118180cosh(x) - 60496cosh(x) - 28988cosh(x) +--R + +--R 6 4 2 +--R 47808cosh(x) + 5316cosh(x) - 11504cosh(x) - 1676 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R - 30400cosh(x) - 76304cosh(x) - 105760cosh(x) +--R + +--R 7 5 3 +--R 26864cosh(x) + 32096cosh(x) - 5040cosh(x) - 8384cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R 102068cosh(x) - 23256cosh(x) - 119884cosh(x) +--R + +--R 8 6 4 2 +--R - 42760cosh(x) + 31964cosh(x) + 25352cosh(x) - 11372cosh(x) +--R + +--R - 2792 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 9 +--R 165376cosh(x) + 62016cosh(x) - 26112cosh(x) - 86304cosh(x) +--R + +--R 7 5 3 +--R - 11008cosh(x) + 49728cosh(x) + 9728cosh(x) - 9104cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R 102068cosh(x) + 103360cosh(x) + 113968cosh(x) +--R + +--R 10 8 6 4 +--R - 42624cosh(x) - 47368cosh(x) + 32448cosh(x) + 40528cosh(x) +--R + +--R 2 +--R - 2528cosh(x) - 4648 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R - 30400cosh(x) + 62016cosh(x) + 180608cosh(x) +--R + +--R 11 9 7 5 +--R 49696cosh(x) - 29760cosh(x) - 4288cosh(x) + 38656cosh(x) +--R + +--R 3 +--R 19664cosh(x) - 7936cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R - 118180cosh(x) - 23256cosh(x) + 113968cosh(x) +--R + +--R 12 10 8 6 +--R 96096cosh(x) + 17992cosh(x) - 24624cosh(x) + 12560cosh(x) +--R + +--R 4 2 +--R 22368cosh(x) + 5960cosh(x) - 6048 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R - 102528cosh(x) - 76304cosh(x) - 26112cosh(x) +--R + +--R 13 11 9 7 +--R 49696cosh(x) + 41600cosh(x) - 35488cosh(x) - 9728cosh(x) +--R + +--R 5 3 +--R 7920cosh(x) + 10240cosh(x) - 448cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R - 24156cosh(x) - 60496cosh(x) - 119884cosh(x) +--R + +--R 14 12 10 +--R - 42624cosh(x) + 17992cosh(x) - 41888cosh(x) +--R + +--R 8 6 4 2 +--R - 40040cosh(x) + 2528cosh(x) - 1256cosh(x) + 7488cosh(x) - 4192 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 15 +--R 37312cosh(x) - 7760cosh(x) - 105760cosh(x) - 86304cosh(x) +--R + +--R 13 11 9 7 +--R - 29760cosh(x) - 35488cosh(x) - 60544cosh(x) - 18480cosh(x) +--R + +--R 5 3 +--R 7936cosh(x) - 7872cosh(x) + 7040cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 16 +--R 45580cosh(x) + 27704cosh(x) - 28988cosh(x) - 42760cosh(x) +--R + +--R 14 12 10 +--R - 47368cosh(x) - 24624cosh(x) - 40040cosh(x) +--R + +--R 8 6 4 2 +--R - 39152cosh(x) - 56cosh(x) + 6048cosh(x) - 6112cosh(x) - 1120 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 17 +--R 21760cosh(x) + 26976cosh(x) + 27904cosh(x) + 26864cosh(x) +--R + +--R 15 13 11 9 +--R - 11008cosh(x) - 4288cosh(x) - 9728cosh(x) - 18480cosh(x) +--R + +--R 7 5 +--R - 20480cosh(x) + 8320cosh(x) + 3904cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 18 +--R 68cosh(x) + 9504cosh(x) + 34248cosh(x) + 47808cosh(x) +--R + +--R 16 14 12 10 +--R 31964cosh(x) + 32448cosh(x) + 12560cosh(x) + 2528cosh(x) +--R + +--R 8 6 4 2 +--R - 56cosh(x) - 14976cosh(x) + 10304cosh(x) - 8192cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 19 +--R - 6848cosh(x) - 2464cosh(x) + 15680cosh(x) + 21392cosh(x) +--R + +--R 17 15 13 11 +--R 32096cosh(x) + 49728cosh(x) + 38656cosh(x) + 7920cosh(x) +--R + +--R 9 7 5 3 +--R 7936cosh(x) + 8320cosh(x) - 14080cosh(x) + 12480cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 20 +--R - 4916cosh(x) - 4440cosh(x) + 1672cosh(x) - 5168cosh(x) +--R + +--R 18 16 14 12 +--R 5316cosh(x) + 25352cosh(x) + 40528cosh(x) + 22368cosh(x) +--R + +--R 10 8 6 4 +--R - 1256cosh(x) + 6048cosh(x) + 10304cosh(x) - 14144cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 21 +--R - 1920cosh(x) - 2352cosh(x) - 1792cosh(x) - 10416cosh(x) +--R + +--R 19 17 15 13 +--R - 9792cosh(x) - 5040cosh(x) + 9728cosh(x) + 19664cosh(x) +--R + +--R 11 9 5 +--R 10240cosh(x) - 7872cosh(x) + 12480cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 22 +--R - 460cosh(x) - 688cosh(x) - 996cosh(x) - 5184cosh(x) +--R + +--R 20 18 16 14 +--R - 7628cosh(x) - 11504cosh(x) - 11372cosh(x) - 2528cosh(x) +--R + +--R 12 10 8 6 +--R 5960cosh(x) + 7488cosh(x) - 6112cosh(x) - 8192cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R - 64cosh(x) - 112cosh(x) - 224cosh(x) - 1232cosh(x) +--R + +--R 21 19 17 15 +--R - 2336cosh(x) - 4912cosh(x) - 8384cosh(x) - 9104cosh(x) +--R + +--R 13 11 9 7 +--R - 7936cosh(x) - 448cosh(x) + 7040cosh(x) + 3904cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 22 +--R - 4cosh(x) - 8cosh(x) - 20cosh(x) - 120cosh(x) - 276cosh(x) +--R + +--R 20 18 16 14 +--R - 728cosh(x) - 1676cosh(x) - 2792cosh(x) - 4648cosh(x) +--R + +--R 12 10 8 +--R - 6048cosh(x) - 4192cosh(x) - 1120cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 32 +-+ 31 +--R - 2\|2 sinh(x) - 36\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (- 296\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (- 1452\|2 cosh(x) - 32\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (- 4608\|2 cosh(x) - 230\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 27 +--R (- 9300\|2 cosh(x) - 960\|2 cosh(x) + 100\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 9272\|2 cosh(x) - 2458\|2 cosh(x) + 772\|2 cosh(x) + 42\|2 ) +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 7524\|2 cosh(x) - 3424\|2 cosh(x) + 3636\|2 cosh(x) +--R + +--R +-+ +--R 584\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 44584\|2 cosh(x) + 34\|2 cosh(x) + 11522\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 3682\|2 cosh(x) + 190\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 75116\|2 cosh(x) + 10880\|2 cosh(x) + 25240\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 13760\|2 cosh(x) + 2204\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 48024\|2 cosh(x) + 22790\|2 cosh(x) + 36392\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 33068\|2 cosh(x) + 11216\|2 cosh(x) + 386\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 56764\|2 cosh(x) + 18656\|2 cosh(x) + 24408\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 50000\|2 cosh(x) + 32004\|2 cosh(x) + 3584\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 173696\|2 cosh(x) - 12078\|2 cosh(x) - 28970\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 34636\|2 cosh(x) + 51916\|2 cosh(x) + 13550\|2 cosh(x) +--R + +--R +-+ +--R 1010\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 184644\|2 cosh(x) - 51264\|2 cosh(x) - 110612\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 37696\|2 cosh(x) + 30676\|2 cosh(x) + 23552\|2 cosh(x) +--R + +--R +-+ +--R 7692\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 38456\|2 cosh(x) - 59090\|2 cosh(x) - 163780\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 145650\|2 cosh(x) - 65264\|2 cosh(x) + 2374\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 22868\|2 cosh(x) + 2366\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 169556\|2 cosh(x) - 15200\|2 cosh(x) - 123652\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 212424\|2 cosh(x) - 202676\|2 cosh(x) - 80384\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 27820\|2 cosh(x) + 14200\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 267444\|2 cosh(x) + 51034\|2 cosh(x) + 17442\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 157658\|2 cosh(x) - 277214\|2 cosh(x) - 195862\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 11958\|2 cosh(x) + 31582\|2 cosh(x) + 3956\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 169556\|2 cosh(x) + 82688\|2 cosh(x) + 180880\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 23936\|2 cosh(x) - 191272\|2 cosh(x) - 249856\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 91664\|2 cosh(x) + 25376\|2 cosh(x) + 16936\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 38456\|2 cosh(x) + 51034\|2 cosh(x) + 253232\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 231880\|2 cosh(x) + 54048\|2 cosh(x) - 157772\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 147344\|2 cosh(x) - 16248\|2 cosh(x) + 23152\|2 cosh(x) +--R + +--R +-+ +--R 6576\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 184644\|2 cosh(x) - 15200\|2 cosh(x) + 180880\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 323680\|2 cosh(x) + 329064\|2 cosh(x) + 76800\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 116304\|2 cosh(x) - 56352\|2 cosh(x) + 4280\|2 cosh(x) +--R + +--R +-+ +--R 17824\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 173696\|2 cosh(x) - 59090\|2 cosh(x) + 17442\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 231880\|2 cosh(x) + 450216\|2 cosh(x) + 337324\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 10948\|2 cosh(x) - 62008\|2 cosh(x) - 20144\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 12752\|2 cosh(x) + 8552\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R - 56764\|2 cosh(x) - 51264\|2 cosh(x) - 123652\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 23936\|2 cosh(x) + 329064\|2 cosh(x) + 452608\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 172456\|2 cosh(x) - 25376\|2 cosh(x) - 38680\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 3776\|2 cosh(x) + 9168\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 48024\|2 cosh(x) - 12078\|2 cosh(x) - 163780\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 157658\|2 cosh(x) + 54048\|2 cosh(x) + 337324\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 248952\|2 cosh(x) + 44308\|2 cosh(x) - 55920\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 912\|2 cosh(x) + 2736\|2 cosh(x) + 5928\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 75116\|2 cosh(x) + 18656\|2 cosh(x) - 110612\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 212424\|2 cosh(x) - 191272\|2 cosh(x) + 76800\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 172456\|2 cosh(x) + 84304\|2 cosh(x) - 48072\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 26016\|2 cosh(x) + 13712\|2 cosh(x) - 4032\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 44584\|2 cosh(x) + 22790\|2 cosh(x) - 28970\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 145650\|2 cosh(x) - 277214\|2 cosh(x) - 157772\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 10948\|2 cosh(x) + 44308\|2 cosh(x) - 33160\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 34800\|2 cosh(x) - 2408\|2 cosh(x) + 7560\|2 cosh(x) +--R + +--R +-+ +--R 1584\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 7524\|2 cosh(x) + 10880\|2 cosh(x) + 24408\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 37696\|2 cosh(x) - 202676\|2 cosh(x) - 249856\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 116304\|2 cosh(x) - 25376\|2 cosh(x) - 48072\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 23936\|2 cosh(x) - 10592\|2 cosh(x) + 2560\|2 cosh(x) +--R + +--R +-+ +--R - 3936\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 9272\|2 cosh(x) + 34\|2 cosh(x) + 36392\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 34636\|2 cosh(x) - 65264\|2 cosh(x) - 195862\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 147344\|2 cosh(x) - 62008\|2 cosh(x) - 55920\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 34800\|2 cosh(x) + 6816\|2 cosh(x) - 8368\|2 cosh(x) +--R + +--R +-+ 2 +--R 8448\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R - 9300\|2 cosh(x) - 3424\|2 cosh(x) + 25240\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 50000\|2 cosh(x) + 30676\|2 cosh(x) - 80384\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 91664\|2 cosh(x) - 56352\|2 cosh(x) - 38680\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 26016\|2 cosh(x) - 10592\|2 cosh(x) + 13184\|2 cosh(x) +--R + +--R +-+ 3 +--R - 11936\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R - 4608\|2 cosh(x) - 2458\|2 cosh(x) + 11522\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 33068\|2 cosh(x) + 51916\|2 cosh(x) + 2374\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 11958\|2 cosh(x) - 16248\|2 cosh(x) - 20144\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 912\|2 cosh(x) - 2408\|2 cosh(x) - 8368\|2 cosh(x) +--R + +--R +-+ 4 +--R 13728\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 1452\|2 cosh(x) - 960\|2 cosh(x) + 3636\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 13760\|2 cosh(x) + 32004\|2 cosh(x) + 23552\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 27820\|2 cosh(x) + 25376\|2 cosh(x) + 4280\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 3776\|2 cosh(x) + 13712\|2 cosh(x) + 2560\|2 cosh(x) +--R + +--R +-+ 5 +--R - 11936\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 296\|2 cosh(x) - 230\|2 cosh(x) + 772\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 3682\|2 cosh(x) + 11216\|2 cosh(x) + 13550\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 22868\|2 cosh(x) + 31582\|2 cosh(x) + 23152\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 12752\|2 cosh(x) + 2736\|2 cosh(x) + 7560\|2 cosh(x) +--R + +--R +-+ 6 +--R 8448\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R - 36\|2 cosh(x) - 32\|2 cosh(x) + 100\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 584\|2 cosh(x) + 2204\|2 cosh(x) + 3584\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 7692\|2 cosh(x) + 14200\|2 cosh(x) + 16936\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 17824\|2 cosh(x) + 9168\|2 cosh(x) - 4032\|2 cosh(x) +--R + +--R +-+ 7 +--R - 3936\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +-+ 26 +--R - 2\|2 cosh(x) - 2\|2 cosh(x) + 6\|2 cosh(x) + 42\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 190\|2 cosh(x) + 386\|2 cosh(x) + 1010\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 2366\|2 cosh(x) + 3956\|2 cosh(x) + 6576\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 8552\|2 cosh(x) + 5928\|2 cosh(x) + 1584\|2 cosh(x) +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 32 +-+ 31 +--R - 4\|2 sinh(x) - 72\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (- 592\|2 cosh(x) - 4\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (- 2904\|2 cosh(x) - 64\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (- 9216\|2 cosh(x) - 460\|2 cosh(x) + 12\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 27 +--R (- 18600\|2 cosh(x) - 1920\|2 cosh(x) + 200\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 18544\|2 cosh(x) - 4916\|2 cosh(x) + 1544\|2 cosh(x) +--R + +--R +-+ +--R 84\|2 +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 15048\|2 cosh(x) - 6848\|2 cosh(x) + 7272\|2 cosh(x) +--R + +--R +-+ +--R 1168\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 89168\|2 cosh(x) + 68\|2 cosh(x) + 23044\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 7364\|2 cosh(x) + 380\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 150232\|2 cosh(x) + 21760\|2 cosh(x) + 50480\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 27520\|2 cosh(x) + 4408\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 96048\|2 cosh(x) + 45580\|2 cosh(x) + 72784\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 66136\|2 cosh(x) + 22432\|2 cosh(x) + 772\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 113528\|2 cosh(x) + 37312\|2 cosh(x) + 48816\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 100000\|2 cosh(x) + 64008\|2 cosh(x) + 7168\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 347392\|2 cosh(x) - 24156\|2 cosh(x) - 57940\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 69272\|2 cosh(x) + 103832\|2 cosh(x) + 27100\|2 cosh(x) +--R + +--R +-+ +--R 2020\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 369288\|2 cosh(x) - 102528\|2 cosh(x) - 221224\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 75392\|2 cosh(x) + 61352\|2 cosh(x) + 47104\|2 cosh(x) +--R + +--R +-+ +--R 15384\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 76912\|2 cosh(x) - 118180\|2 cosh(x) - 327560\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 291300\|2 cosh(x) - 130528\|2 cosh(x) + 4748\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 45736\|2 cosh(x) + 4732\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 339112\|2 cosh(x) - 30400\|2 cosh(x) - 247304\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 424848\|2 cosh(x) - 405352\|2 cosh(x) - 160768\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 55640\|2 cosh(x) + 28400\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 534888\|2 cosh(x) + 102068\|2 cosh(x) + 34884\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 315316\|2 cosh(x) - 554428\|2 cosh(x) - 391724\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 23916\|2 cosh(x) + 63164\|2 cosh(x) + 7912\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 339112\|2 cosh(x) + 165376\|2 cosh(x) + 361760\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 47872\|2 cosh(x) - 382544\|2 cosh(x) - 499712\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 183328\|2 cosh(x) + 50752\|2 cosh(x) + 33872\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 76912\|2 cosh(x) + 102068\|2 cosh(x) + 506464\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 463760\|2 cosh(x) + 108096\|2 cosh(x) - 315544\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 294688\|2 cosh(x) - 32496\|2 cosh(x) + 46304\|2 cosh(x) +--R + +--R +-+ +--R 13152\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 369288\|2 cosh(x) - 30400\|2 cosh(x) + 361760\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 647360\|2 cosh(x) + 658128\|2 cosh(x) + 153600\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 232608\|2 cosh(x) - 112704\|2 cosh(x) + 8560\|2 cosh(x) +--R + +--R +-+ +--R 35648\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 347392\|2 cosh(x) - 118180\|2 cosh(x) + 34884\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 463760\|2 cosh(x) + 900432\|2 cosh(x) + 674648\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 21896\|2 cosh(x) - 124016\|2 cosh(x) - 40288\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 25504\|2 cosh(x) + 17104\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R - 113528\|2 cosh(x) - 102528\|2 cosh(x) - 247304\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 47872\|2 cosh(x) + 658128\|2 cosh(x) + 905216\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 344912\|2 cosh(x) - 50752\|2 cosh(x) - 77360\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 7552\|2 cosh(x) + 18336\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 96048\|2 cosh(x) - 24156\|2 cosh(x) - 327560\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 315316\|2 cosh(x) + 108096\|2 cosh(x) + 674648\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 497904\|2 cosh(x) + 88616\|2 cosh(x) - 111840\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 1824\|2 cosh(x) + 5472\|2 cosh(x) + 11856\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 150232\|2 cosh(x) + 37312\|2 cosh(x) - 221224\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 424848\|2 cosh(x) - 382544\|2 cosh(x) + 153600\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 344912\|2 cosh(x) + 168608\|2 cosh(x) - 96144\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 52032\|2 cosh(x) + 27424\|2 cosh(x) - 8064\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 89168\|2 cosh(x) + 45580\|2 cosh(x) - 57940\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 291300\|2 cosh(x) - 554428\|2 cosh(x) - 315544\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 21896\|2 cosh(x) + 88616\|2 cosh(x) - 66320\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 69600\|2 cosh(x) - 4816\|2 cosh(x) + 15120\|2 cosh(x) +--R + +--R +-+ +--R 3168\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 15048\|2 cosh(x) + 21760\|2 cosh(x) + 48816\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 75392\|2 cosh(x) - 405352\|2 cosh(x) - 499712\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 232608\|2 cosh(x) - 50752\|2 cosh(x) - 96144\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 47872\|2 cosh(x) - 21184\|2 cosh(x) + 5120\|2 cosh(x) +--R + +--R +-+ +--R - 7872\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 18544\|2 cosh(x) + 68\|2 cosh(x) + 72784\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 69272\|2 cosh(x) - 130528\|2 cosh(x) - 391724\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 294688\|2 cosh(x) - 124016\|2 cosh(x) - 111840\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 69600\|2 cosh(x) + 13632\|2 cosh(x) - 16736\|2 cosh(x) +--R + +--R +-+ 2 +--R 16896\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R - 18600\|2 cosh(x) - 6848\|2 cosh(x) + 50480\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 100000\|2 cosh(x) + 61352\|2 cosh(x) - 160768\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 183328\|2 cosh(x) - 112704\|2 cosh(x) - 77360\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 52032\|2 cosh(x) - 21184\|2 cosh(x) + 26368\|2 cosh(x) +--R + +--R +-+ 3 +--R - 23872\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R - 9216\|2 cosh(x) - 4916\|2 cosh(x) + 23044\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 66136\|2 cosh(x) + 103832\|2 cosh(x) + 4748\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 23916\|2 cosh(x) - 32496\|2 cosh(x) - 40288\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 1824\|2 cosh(x) - 4816\|2 cosh(x) - 16736\|2 cosh(x) +--R + +--R +-+ 4 +--R 27456\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 2904\|2 cosh(x) - 1920\|2 cosh(x) + 7272\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 27520\|2 cosh(x) + 64008\|2 cosh(x) + 47104\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 55640\|2 cosh(x) + 50752\|2 cosh(x) + 8560\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 7552\|2 cosh(x) + 27424\|2 cosh(x) + 5120\|2 cosh(x) +--R + +--R +-+ 5 +--R - 23872\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 592\|2 cosh(x) - 460\|2 cosh(x) + 1544\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 7364\|2 cosh(x) + 22432\|2 cosh(x) + 27100\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 45736\|2 cosh(x) + 63164\|2 cosh(x) + 46304\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 25504\|2 cosh(x) + 5472\|2 cosh(x) + 15120\|2 cosh(x) +--R + +--R +-+ 6 +--R 16896\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R - 72\|2 cosh(x) - 64\|2 cosh(x) + 200\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 1168\|2 cosh(x) + 4408\|2 cosh(x) + 7168\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 15384\|2 cosh(x) + 28400\|2 cosh(x) + 33872\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 35648\|2 cosh(x) + 18336\|2 cosh(x) - 8064\|2 cosh(x) +--R + +--R +-+ 7 +--R - 7872\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +-+ 26 +--R - 4\|2 cosh(x) - 4\|2 cosh(x) + 12\|2 cosh(x) + 84\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 380\|2 cosh(x) + 772\|2 cosh(x) + 2020\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 4732\|2 cosh(x) + 7912\|2 cosh(x) + 13152\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 17104\|2 cosh(x) + 11856\|2 cosh(x) + 3168\|2 cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 32 +-+ 31 +--R - 2\|2 sinh(x) - 36\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (- 296\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (- 1452\|2 cosh(x) - 32\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (- 4608\|2 cosh(x) - 230\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 27 +--R (- 9300\|2 cosh(x) - 960\|2 cosh(x) + 100\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 9272\|2 cosh(x) - 2458\|2 cosh(x) + 772\|2 cosh(x) + 42\|2 ) +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 7524\|2 cosh(x) - 3424\|2 cosh(x) + 3636\|2 cosh(x) +--R + +--R +-+ +--R 584\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 44584\|2 cosh(x) + 34\|2 cosh(x) + 11522\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 3682\|2 cosh(x) + 190\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 75116\|2 cosh(x) + 10880\|2 cosh(x) + 25240\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 13760\|2 cosh(x) + 2204\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 48024\|2 cosh(x) + 22790\|2 cosh(x) + 36392\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 33068\|2 cosh(x) + 11216\|2 cosh(x) + 386\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 56764\|2 cosh(x) + 18656\|2 cosh(x) + 24408\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 50000\|2 cosh(x) + 32004\|2 cosh(x) + 3584\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 173696\|2 cosh(x) - 12078\|2 cosh(x) - 28970\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 34636\|2 cosh(x) + 51916\|2 cosh(x) + 13550\|2 cosh(x) + 1010\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 184644\|2 cosh(x) - 51264\|2 cosh(x) - 110612\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 37696\|2 cosh(x) + 30676\|2 cosh(x) + 23552\|2 cosh(x) +--R + +--R +-+ +--R 7692\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 38456\|2 cosh(x) - 59090\|2 cosh(x) - 163780\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 145650\|2 cosh(x) - 65264\|2 cosh(x) + 2374\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 22868\|2 cosh(x) + 2366\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 169556\|2 cosh(x) - 15200\|2 cosh(x) - 123652\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 212424\|2 cosh(x) - 202676\|2 cosh(x) - 80384\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 27820\|2 cosh(x) + 14200\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 267444\|2 cosh(x) + 51034\|2 cosh(x) + 17442\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 157658\|2 cosh(x) - 277214\|2 cosh(x) - 195862\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 11958\|2 cosh(x) + 31582\|2 cosh(x) + 3956\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 169556\|2 cosh(x) + 82688\|2 cosh(x) + 180880\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 23936\|2 cosh(x) - 191272\|2 cosh(x) - 249856\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 91664\|2 cosh(x) + 25376\|2 cosh(x) + 16936\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 38456\|2 cosh(x) + 51034\|2 cosh(x) + 253232\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 231880\|2 cosh(x) + 54048\|2 cosh(x) - 157772\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 147344\|2 cosh(x) - 16248\|2 cosh(x) + 23152\|2 cosh(x) + 6576\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 184644\|2 cosh(x) - 15200\|2 cosh(x) + 180880\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 323680\|2 cosh(x) + 329064\|2 cosh(x) + 76800\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 116304\|2 cosh(x) - 56352\|2 cosh(x) + 4280\|2 cosh(x) +--R + +--R +-+ +--R 17824\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 173696\|2 cosh(x) - 59090\|2 cosh(x) + 17442\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 231880\|2 cosh(x) + 450216\|2 cosh(x) + 337324\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 10948\|2 cosh(x) - 62008\|2 cosh(x) - 20144\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 12752\|2 cosh(x) + 8552\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R - 56764\|2 cosh(x) - 51264\|2 cosh(x) - 123652\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 23936\|2 cosh(x) + 329064\|2 cosh(x) + 452608\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 172456\|2 cosh(x) - 25376\|2 cosh(x) - 38680\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 3776\|2 cosh(x) + 9168\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 48024\|2 cosh(x) - 12078\|2 cosh(x) - 163780\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 157658\|2 cosh(x) + 54048\|2 cosh(x) + 337324\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 248952\|2 cosh(x) + 44308\|2 cosh(x) - 55920\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 912\|2 cosh(x) + 2736\|2 cosh(x) + 5928\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 75116\|2 cosh(x) + 18656\|2 cosh(x) - 110612\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 212424\|2 cosh(x) - 191272\|2 cosh(x) + 76800\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 172456\|2 cosh(x) + 84304\|2 cosh(x) - 48072\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 26016\|2 cosh(x) + 13712\|2 cosh(x) - 4032\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 44584\|2 cosh(x) + 22790\|2 cosh(x) - 28970\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 145650\|2 cosh(x) - 277214\|2 cosh(x) - 157772\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 10948\|2 cosh(x) + 44308\|2 cosh(x) - 33160\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 34800\|2 cosh(x) - 2408\|2 cosh(x) + 7560\|2 cosh(x) + 1584\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 7524\|2 cosh(x) + 10880\|2 cosh(x) + 24408\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 37696\|2 cosh(x) - 202676\|2 cosh(x) - 249856\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 116304\|2 cosh(x) - 25376\|2 cosh(x) - 48072\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 23936\|2 cosh(x) - 10592\|2 cosh(x) + 2560\|2 cosh(x) +--R + +--R +-+ +--R - 3936\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 9272\|2 cosh(x) + 34\|2 cosh(x) + 36392\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 34636\|2 cosh(x) - 65264\|2 cosh(x) - 195862\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 147344\|2 cosh(x) - 62008\|2 cosh(x) - 55920\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 34800\|2 cosh(x) + 6816\|2 cosh(x) - 8368\|2 cosh(x) +--R + +--R +-+ 2 +--R 8448\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R - 9300\|2 cosh(x) - 3424\|2 cosh(x) + 25240\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 50000\|2 cosh(x) + 30676\|2 cosh(x) - 80384\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 91664\|2 cosh(x) - 56352\|2 cosh(x) - 38680\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 26016\|2 cosh(x) - 10592\|2 cosh(x) + 13184\|2 cosh(x) +--R + +--R +-+ 3 +--R - 11936\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R - 4608\|2 cosh(x) - 2458\|2 cosh(x) + 11522\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 33068\|2 cosh(x) + 51916\|2 cosh(x) + 2374\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 11958\|2 cosh(x) - 16248\|2 cosh(x) - 20144\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 912\|2 cosh(x) - 2408\|2 cosh(x) - 8368\|2 cosh(x) +--R + +--R +-+ 4 +--R 13728\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 1452\|2 cosh(x) - 960\|2 cosh(x) + 3636\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 13760\|2 cosh(x) + 32004\|2 cosh(x) + 23552\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 27820\|2 cosh(x) + 25376\|2 cosh(x) + 4280\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 3776\|2 cosh(x) + 13712\|2 cosh(x) + 2560\|2 cosh(x) +--R + +--R +-+ 5 +--R - 11936\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 296\|2 cosh(x) - 230\|2 cosh(x) + 772\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 3682\|2 cosh(x) + 11216\|2 cosh(x) + 13550\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 22868\|2 cosh(x) + 31582\|2 cosh(x) + 23152\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 12752\|2 cosh(x) + 2736\|2 cosh(x) + 7560\|2 cosh(x) +--R + +--R +-+ 6 +--R 8448\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R - 36\|2 cosh(x) - 32\|2 cosh(x) + 100\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 584\|2 cosh(x) + 2204\|2 cosh(x) + 3584\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 7692\|2 cosh(x) + 14200\|2 cosh(x) + 16936\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 17824\|2 cosh(x) + 9168\|2 cosh(x) - 4032\|2 cosh(x) +--R + +--R +-+ 7 +--R - 3936\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +-+ 26 +--R - 2\|2 cosh(x) - 2\|2 cosh(x) + 6\|2 cosh(x) + 42\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 190\|2 cosh(x) + 386\|2 cosh(x) + 1010\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 2366\|2 cosh(x) + 3956\|2 cosh(x) + 6576\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 8552\|2 cosh(x) + 5928\|2 cosh(x) + 1584\|2 cosh(x) +--R / +--R 30 29 2 28 +--R 4sinh(x) + 64cosh(x)sinh(x) + (460cosh(x) + 8)sinh(x) +--R + +--R 3 27 +--R (1920cosh(x) + 112cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (4916cosh(x) + 688cosh(x) + 20)sinh(x) +--R + +--R 5 3 25 +--R (6848cosh(x) + 2352cosh(x) + 224cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (- 68cosh(x) + 4440cosh(x) + 996cosh(x) + 120)sinh(x) +--R + +--R 7 5 3 +--R (- 21760cosh(x) + 2464cosh(x) + 1792cosh(x) + 1232cosh(x)) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 45580cosh(x) - 9504cosh(x) - 1672cosh(x) + 5184cosh(x) +--R + +--R 276 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 37312cosh(x) - 26976cosh(x) - 15680cosh(x) + 10416cosh(x) +--R + +--R 2336cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 24156cosh(x) - 27704cosh(x) - 34248cosh(x) + 5168cosh(x) +--R + +--R 2 +--R 7628cosh(x) + 728 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 102528cosh(x) + 7760cosh(x) - 27904cosh(x) - 21392cosh(x) +--R + +--R 3 +--R 9792cosh(x) + 4912cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R 118180cosh(x) + 60496cosh(x) + 28988cosh(x) +--R + +--R 6 4 2 +--R - 47808cosh(x) - 5316cosh(x) + 11504cosh(x) + 1676 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R 30400cosh(x) + 76304cosh(x) + 105760cosh(x) +--R + +--R 7 5 3 +--R - 26864cosh(x) - 32096cosh(x) + 5040cosh(x) + 8384cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R - 102068cosh(x) + 23256cosh(x) + 119884cosh(x) +--R + +--R 8 6 4 2 +--R 42760cosh(x) - 31964cosh(x) - 25352cosh(x) + 11372cosh(x) +--R + +--R 2792 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R - 165376cosh(x) - 62016cosh(x) + 26112cosh(x) +--R + +--R 9 7 5 3 +--R 86304cosh(x) + 11008cosh(x) - 49728cosh(x) - 9728cosh(x) +--R + +--R 9104cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R - 102068cosh(x) - 103360cosh(x) - 113968cosh(x) +--R + +--R 10 8 6 4 +--R 42624cosh(x) + 47368cosh(x) - 32448cosh(x) - 40528cosh(x) +--R + +--R 2 +--R 2528cosh(x) + 4648 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R 30400cosh(x) - 62016cosh(x) - 180608cosh(x) +--R + +--R 11 9 7 5 +--R - 49696cosh(x) + 29760cosh(x) + 4288cosh(x) - 38656cosh(x) +--R + +--R 3 +--R - 19664cosh(x) + 7936cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R 118180cosh(x) + 23256cosh(x) - 113968cosh(x) +--R + +--R 12 10 8 +--R - 96096cosh(x) - 17992cosh(x) + 24624cosh(x) +--R + +--R 6 4 2 +--R - 12560cosh(x) - 22368cosh(x) - 5960cosh(x) + 6048 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R 102528cosh(x) + 76304cosh(x) + 26112cosh(x) +--R + +--R 13 11 9 +--R - 49696cosh(x) - 41600cosh(x) + 35488cosh(x) +--R + +--R 7 5 3 +--R 9728cosh(x) - 7920cosh(x) - 10240cosh(x) + 448cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R 24156cosh(x) + 60496cosh(x) + 119884cosh(x) +--R + +--R 14 12 10 +--R 42624cosh(x) - 17992cosh(x) + 41888cosh(x) +--R + +--R 8 6 4 2 +--R 40040cosh(x) - 2528cosh(x) + 1256cosh(x) - 7488cosh(x) + 4192 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R - 37312cosh(x) + 7760cosh(x) + 105760cosh(x) +--R + +--R 15 13 11 +--R 86304cosh(x) + 29760cosh(x) + 35488cosh(x) +--R + +--R 9 7 5 3 +--R 60544cosh(x) + 18480cosh(x) - 7936cosh(x) + 7872cosh(x) +--R + +--R - 7040cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R - 45580cosh(x) - 27704cosh(x) + 28988cosh(x) +--R + +--R 16 14 12 +--R 42760cosh(x) + 47368cosh(x) + 24624cosh(x) +--R + +--R 10 8 6 4 +--R 40040cosh(x) + 39152cosh(x) + 56cosh(x) - 6048cosh(x) +--R + +--R 2 +--R 6112cosh(x) + 1120 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R - 21760cosh(x) - 26976cosh(x) - 27904cosh(x) +--R + +--R 17 15 13 +--R - 26864cosh(x) + 11008cosh(x) + 4288cosh(x) +--R + +--R 11 9 7 5 +--R 9728cosh(x) + 18480cosh(x) + 20480cosh(x) - 8320cosh(x) +--R + +--R - 3904cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 18 +--R - 68cosh(x) - 9504cosh(x) - 34248cosh(x) - 47808cosh(x) +--R + +--R 16 14 12 +--R - 31964cosh(x) - 32448cosh(x) - 12560cosh(x) +--R + +--R 10 8 6 4 +--R - 2528cosh(x) + 56cosh(x) + 14976cosh(x) - 10304cosh(x) +--R + +--R 2 +--R 8192cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 19 +--R 6848cosh(x) + 2464cosh(x) - 15680cosh(x) - 21392cosh(x) +--R + +--R 17 15 13 +--R - 32096cosh(x) - 49728cosh(x) - 38656cosh(x) +--R + +--R 11 9 7 5 +--R - 7920cosh(x) - 7936cosh(x) - 8320cosh(x) + 14080cosh(x) +--R + +--R 3 +--R - 12480cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 20 +--R 4916cosh(x) + 4440cosh(x) - 1672cosh(x) + 5168cosh(x) +--R + +--R 18 16 14 +--R - 5316cosh(x) - 25352cosh(x) - 40528cosh(x) +--R + +--R 12 10 8 6 +--R - 22368cosh(x) + 1256cosh(x) - 6048cosh(x) - 10304cosh(x) +--R + +--R 4 +--R 14144cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 21 +--R 1920cosh(x) + 2352cosh(x) + 1792cosh(x) + 10416cosh(x) +--R + +--R 19 17 15 13 +--R 9792cosh(x) + 5040cosh(x) - 9728cosh(x) - 19664cosh(x) +--R + +--R 11 9 5 +--R - 10240cosh(x) + 7872cosh(x) - 12480cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 22 +--R 460cosh(x) + 688cosh(x) + 996cosh(x) + 5184cosh(x) +--R + +--R 20 18 16 14 +--R 7628cosh(x) + 11504cosh(x) + 11372cosh(x) + 2528cosh(x) +--R + +--R 12 10 8 6 +--R - 5960cosh(x) - 7488cosh(x) + 6112cosh(x) + 8192cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R 64cosh(x) + 112cosh(x) + 224cosh(x) + 1232cosh(x) +--R + +--R 21 19 17 15 +--R 2336cosh(x) + 4912cosh(x) + 8384cosh(x) + 9104cosh(x) +--R + +--R 13 11 9 7 +--R 7936cosh(x) + 448cosh(x) - 7040cosh(x) - 3904cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 22 +--R 4cosh(x) + 8cosh(x) + 20cosh(x) + 120cosh(x) + 276cosh(x) +--R + +--R 20 18 16 14 +--R 728cosh(x) + 1676cosh(x) + 2792cosh(x) + 4648cosh(x) +--R + +--R 12 10 8 +--R 6048cosh(x) + 4192cosh(x) + 1120cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 32 +-+ 31 +--R 2\|2 sinh(x) + 36\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (296\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (1452\|2 cosh(x) + 32\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (4608\|2 cosh(x) + 230\|2 cosh(x) - 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 27 +--R (9300\|2 cosh(x) + 960\|2 cosh(x) - 100\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (9272\|2 cosh(x) + 2458\|2 cosh(x) - 772\|2 cosh(x) - 42\|2 ) +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 7524\|2 cosh(x) + 3424\|2 cosh(x) - 3636\|2 cosh(x) +--R + +--R +-+ +--R - 584\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 44584\|2 cosh(x) - 34\|2 cosh(x) - 11522\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 3682\|2 cosh(x) - 190\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 75116\|2 cosh(x) - 10880\|2 cosh(x) - 25240\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 13760\|2 cosh(x) - 2204\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 48024\|2 cosh(x) - 22790\|2 cosh(x) - 36392\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 33068\|2 cosh(x) - 11216\|2 cosh(x) - 386\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 56764\|2 cosh(x) - 18656\|2 cosh(x) - 24408\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 50000\|2 cosh(x) - 32004\|2 cosh(x) - 3584\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 173696\|2 cosh(x) + 12078\|2 cosh(x) + 28970\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 34636\|2 cosh(x) - 51916\|2 cosh(x) - 13550\|2 cosh(x) +--R + +--R +-+ +--R - 1010\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 184644\|2 cosh(x) + 51264\|2 cosh(x) + 110612\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 37696\|2 cosh(x) - 30676\|2 cosh(x) - 23552\|2 cosh(x) +--R + +--R +-+ +--R - 7692\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 38456\|2 cosh(x) + 59090\|2 cosh(x) + 163780\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 145650\|2 cosh(x) + 65264\|2 cosh(x) - 2374\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 22868\|2 cosh(x) - 2366\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 169556\|2 cosh(x) + 15200\|2 cosh(x) + 123652\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 212424\|2 cosh(x) + 202676\|2 cosh(x) + 80384\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 27820\|2 cosh(x) - 14200\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 267444\|2 cosh(x) - 51034\|2 cosh(x) - 17442\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 157658\|2 cosh(x) + 277214\|2 cosh(x) + 195862\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 11958\|2 cosh(x) - 31582\|2 cosh(x) - 3956\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 169556\|2 cosh(x) - 82688\|2 cosh(x) - 180880\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 23936\|2 cosh(x) + 191272\|2 cosh(x) + 249856\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 91664\|2 cosh(x) - 25376\|2 cosh(x) - 16936\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 38456\|2 cosh(x) - 51034\|2 cosh(x) - 253232\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 231880\|2 cosh(x) - 54048\|2 cosh(x) + 157772\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 147344\|2 cosh(x) + 16248\|2 cosh(x) - 23152\|2 cosh(x) - 6576\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 184644\|2 cosh(x) + 15200\|2 cosh(x) - 180880\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 323680\|2 cosh(x) - 329064\|2 cosh(x) - 76800\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 116304\|2 cosh(x) + 56352\|2 cosh(x) - 4280\|2 cosh(x) +--R + +--R +-+ +--R - 17824\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 173696\|2 cosh(x) + 59090\|2 cosh(x) - 17442\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 231880\|2 cosh(x) - 450216\|2 cosh(x) - 337324\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 10948\|2 cosh(x) + 62008\|2 cosh(x) + 20144\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 12752\|2 cosh(x) - 8552\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 56764\|2 cosh(x) + 51264\|2 cosh(x) + 123652\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 23936\|2 cosh(x) - 329064\|2 cosh(x) - 452608\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 172456\|2 cosh(x) + 25376\|2 cosh(x) + 38680\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 3776\|2 cosh(x) - 9168\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R - 48024\|2 cosh(x) + 12078\|2 cosh(x) + 163780\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 157658\|2 cosh(x) - 54048\|2 cosh(x) - 337324\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 248952\|2 cosh(x) - 44308\|2 cosh(x) + 55920\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 912\|2 cosh(x) - 2736\|2 cosh(x) - 5928\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R - 75116\|2 cosh(x) - 18656\|2 cosh(x) + 110612\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 212424\|2 cosh(x) + 191272\|2 cosh(x) - 76800\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 172456\|2 cosh(x) - 84304\|2 cosh(x) + 48072\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 26016\|2 cosh(x) - 13712\|2 cosh(x) + 4032\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 44584\|2 cosh(x) - 22790\|2 cosh(x) + 28970\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 145650\|2 cosh(x) + 277214\|2 cosh(x) + 157772\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 10948\|2 cosh(x) - 44308\|2 cosh(x) + 33160\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 34800\|2 cosh(x) + 2408\|2 cosh(x) - 7560\|2 cosh(x) - 1584\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R - 7524\|2 cosh(x) - 10880\|2 cosh(x) - 24408\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 37696\|2 cosh(x) + 202676\|2 cosh(x) + 249856\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 116304\|2 cosh(x) + 25376\|2 cosh(x) + 48072\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 23936\|2 cosh(x) + 10592\|2 cosh(x) - 2560\|2 cosh(x) +--R + +--R +-+ +--R 3936\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 9272\|2 cosh(x) - 34\|2 cosh(x) - 36392\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 34636\|2 cosh(x) + 65264\|2 cosh(x) + 195862\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 147344\|2 cosh(x) + 62008\|2 cosh(x) + 55920\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 34800\|2 cosh(x) - 6816\|2 cosh(x) + 8368\|2 cosh(x) +--R + +--R +-+ 2 +--R - 8448\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R 9300\|2 cosh(x) + 3424\|2 cosh(x) - 25240\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R - 50000\|2 cosh(x) - 30676\|2 cosh(x) + 80384\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 91664\|2 cosh(x) + 56352\|2 cosh(x) + 38680\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 26016\|2 cosh(x) + 10592\|2 cosh(x) - 13184\|2 cosh(x) +--R + +--R +-+ 3 +--R 11936\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R 4608\|2 cosh(x) + 2458\|2 cosh(x) - 11522\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R - 33068\|2 cosh(x) - 51916\|2 cosh(x) - 2374\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 11958\|2 cosh(x) + 16248\|2 cosh(x) + 20144\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 912\|2 cosh(x) + 2408\|2 cosh(x) + 8368\|2 cosh(x) +--R + +--R +-+ 4 +--R - 13728\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R 1452\|2 cosh(x) + 960\|2 cosh(x) - 3636\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R - 13760\|2 cosh(x) - 32004\|2 cosh(x) - 23552\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 27820\|2 cosh(x) - 25376\|2 cosh(x) - 4280\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 3776\|2 cosh(x) - 13712\|2 cosh(x) - 2560\|2 cosh(x) +--R + +--R +-+ 5 +--R 11936\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R 296\|2 cosh(x) + 230\|2 cosh(x) - 772\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 3682\|2 cosh(x) - 11216\|2 cosh(x) - 13550\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 22868\|2 cosh(x) - 31582\|2 cosh(x) - 23152\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 12752\|2 cosh(x) - 2736\|2 cosh(x) - 7560\|2 cosh(x) +--R + +--R +-+ 6 +--R - 8448\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R 36\|2 cosh(x) + 32\|2 cosh(x) - 100\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R - 584\|2 cosh(x) - 2204\|2 cosh(x) - 3584\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 7692\|2 cosh(x) - 14200\|2 cosh(x) - 16936\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 17824\|2 cosh(x) - 9168\|2 cosh(x) + 4032\|2 cosh(x) +--R + +--R +-+ 7 +--R 3936\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +-+ 26 +--R 2\|2 cosh(x) + 2\|2 cosh(x) - 6\|2 cosh(x) - 42\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 190\|2 cosh(x) - 386\|2 cosh(x) - 1010\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 2366\|2 cosh(x) - 3956\|2 cosh(x) - 6576\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 8552\|2 cosh(x) - 5928\|2 cosh(x) - 1584\|2 cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R Type: Expression Integer +--E 87 + +--S 88 of 508 +t0317:= (-1+tanh(x)^2)^(3/2) +--R +--R +--R +------------+ +--R 2 | 2 +--R (86) (tanh(x) - 1)\|tanh(x) - 1 +--R Type: Expression Integer +--E 88 + +--S 89 of 508 +r0317:= -1/2*cosh(x)*(-sech(x)^2)^(1/2)*(atan(sinh(x))+sech(x)*tanh(x)) +--R +--R +--R +----------+ +--R | 2 +--R (- cosh(x)atan(sinh(x)) - cosh(x)sech(x)tanh(x))\|- sech(x) +--R (87) ------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 89 + +--S 90 of 508 +a0317:= integrate(t0317,x) +--R +--R +--R (88) 0 +--R Type: Union(Expression Integer,...) +--E 90 + +--S 91 of 508 +m0317:= a0317-r0317 +--R +--R +--R +----------+ +--R | 2 +--R (cosh(x)atan(sinh(x)) + cosh(x)sech(x)tanh(x))\|- sech(x) +--R (89) ----------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 91 + +--S 92 of 508 +d0317:= D(m0317,x) +--R +--R +--R (90) +--R 2 2 2 2 3 +--R (cosh(x)sech(x) sinh(x) + cosh(x)sech(x) )tanh(x) - sech(x) sinh(x) +--R + +--R 2 +--R - sech(x) sinh(x) +--R * +--R atan(sinh(x)) +--R + +--R 3 2 3 2 +--R (3cosh(x)sech(x) sinh(x) + 3cosh(x)sech(x) )tanh(x) +--R + +--R 3 3 3 3 2 +--R (- sech(x) sinh(x) - sech(x) sinh(x))tanh(x) - cosh(x)sech(x) sinh(x) +--R + +--R 3 2 2 +--R - cosh(x)sech(x) - cosh(x) sech(x) +--R / +--R +----------+ +--R 2 | 2 +--R (2sinh(x) + 2)\|- sech(x) +--R Type: Expression Integer +--E 92 + +--S 93 of 508 +t0318:= (-1-tanh(x)^2)^(3/2) +--R +--R +--R +--------------+ +--R 2 | 2 +--R (91) (- tanh(x) - 1)\|- tanh(x) - 1 +--R Type: Expression Integer +--E 93 + +--S 94 of 508 +r0318:= 2*2^(1/2)*atan(2^(1/2)*tanh(x)/(-1-tanh(x)^2)^(1/2))+5/2*atan(coth(x)*(-1-tanh(x)^2)^(1/2))+1/2*tanh(x)*(-1-tanh(x)^2)^(1/2) +--R +--R +--R (92) +--R +--------------+ +-+ +--R | 2 +-+ \|2 tanh(x) +--R 5atan(coth(x)\|- tanh(x) - 1 ) + 4\|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R +--------------+ +--R | 2 +--R tanh(x)\|- tanh(x) - 1 +--R / +--R 2 +--R Type: Expression Integer +--E 94 + +--S 95 of 508 +a0318:= integrate(t0318,x) +--R +--R +--R (93) +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (10\|- 1 (%e ) + 20\|- 1 (%e ) + 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R - 5\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 (%e ) - 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R - 20\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 + 2)(%e ) + 2 +--R log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (4\|- 2 (%e ) + 8\|- 2 (%e ) + 4\|- 2 )\|- 2(%e ) - 2 + 4(%e ) +--R + +--R x 6 x 4 x 2 +--R 8(%e ) + 12(%e ) + 16(%e ) + 8 +--R * +--R +-------------+ +--R +---+ | x 4 x 2 +--R \|- 2 \|- 2(%e ) - 2 + 2(%e ) + 2 +--R log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (- 10\|- 1 (%e ) - 20\|- 1 (%e ) - 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R 5\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 (%e ) + 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R 20\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 + 2)(%e ) + 2 +--R log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (- 4\|- 2 (%e ) - 8\|- 2 (%e ) - 4\|- 2 )\|- 2(%e ) - 2 - 4(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) - 12(%e ) - 16(%e ) - 8 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (- 2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) + 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 6 +---+ x 4 +---+ x 2 | x 4 x 8 +--R (- \|- 2 (%e ) - \|- 2 (%e ) - 6\|- 2 (%e ) )\|- 2(%e ) - 2 - 2(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) - 2(%e ) - 12(%e ) +--R / +--R +-------------+ +--R x 4 x 2 | x 4 +---+ x 8 +---+ x 6 +--R (4(%e ) + 8(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 4\|- 2 (%e ) +--R + +--R +---+ x 4 +---+ x 2 +---+ +--R - 6\|- 2 (%e ) - 8\|- 2 (%e ) - 4\|- 2 +--R Type: Union(Expression Integer,...) +--E 95 + +--S 96 of 508 +m0318:= a0318-r0318 +--R +--R +--R (94) +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (10\|- 1 (%e ) + 20\|- 1 (%e ) + 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R - 5\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 (%e ) - 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R - 20\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 + 2)(%e ) + 2 +--R log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (4\|- 2 (%e ) + 8\|- 2 (%e ) + 4\|- 2 )\|- 2(%e ) - 2 + 4(%e ) +--R + +--R x 6 x 4 x 2 +--R 8(%e ) + 12(%e ) + 16(%e ) + 8 +--R * +--R +-------------+ +--R +---+ | x 4 x 2 +--R \|- 2 \|- 2(%e ) - 2 + 2(%e ) + 2 +--R log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (- 10\|- 1 (%e ) - 20\|- 1 (%e ) - 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R 5\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 (%e ) + 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R 20\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 + 2)(%e ) + 2 +--R log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (- 4\|- 2 (%e ) - 8\|- 2 (%e ) - 4\|- 2 )\|- 2(%e ) - 2 - 4(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) - 12(%e ) - 16(%e ) - 8 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (- 2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) + 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R x 4 x 2 | x 4 +---+ x 8 +--R (- 10(%e ) - 20(%e ) - 10)\|- 2(%e ) - 2 + 5\|- 2 (%e ) +--R + +--R +---+ x 6 +---+ x 4 +---+ x 2 +---+ +--R 10\|- 2 (%e ) + 15\|- 2 (%e ) + 20\|- 2 (%e ) + 10\|- 2 +--R * +--R +--------------+ +--R | 2 +--R atan(coth(x)\|- tanh(x) - 1 ) +--R + +--R +-------------+ +--R +-+ x 4 +-+ x 2 +-+ | x 4 +--R (- 8\|2 (%e ) - 16\|2 (%e ) - 8\|2 )\|- 2(%e ) - 2 +--R + +--R +---+ +-+ x 8 +---+ +-+ x 6 +---+ +-+ x 4 +--R 4\|- 2 \|2 (%e ) + 8\|- 2 \|2 (%e ) + 12\|- 2 \|2 (%e ) +--R + +--R +---+ +-+ x 2 +---+ +-+ +--R 16\|- 2 \|2 (%e ) + 8\|- 2 \|2 +--R * +--R +-+ +--R \|2 tanh(x) +--R atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R +--------------+ +--R x 4 x 2 | 2 +---+ x 6 +--R (- 2(%e ) - 4(%e ) - 2)tanh(x)\|- tanh(x) - 1 - \|- 2 (%e ) +--R + +--R +---+ x 4 +---+ x 2 +--R - \|- 2 (%e ) - 6\|- 2 (%e ) +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R +---+ x 8 +---+ x 6 +---+ x 4 +---+ x 2 +--R \|- 2 (%e ) + 2\|- 2 (%e ) + 3\|- 2 (%e ) + 4\|- 2 (%e ) +--R + +--R +---+ +--R 2\|- 2 +--R * +--R +--------------+ +--R | 2 +--R tanh(x)\|- tanh(x) - 1 +--R + +--R x 8 x 6 x 4 x 2 +--R - 2(%e ) - 8(%e ) - 2(%e ) - 12(%e ) +--R / +--R +-------------+ +--R x 4 x 2 | x 4 +---+ x 8 +---+ x 6 +--R (4(%e ) + 8(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 4\|- 2 (%e ) +--R + +--R +---+ x 4 +---+ x 2 +---+ +--R - 6\|- 2 (%e ) - 8\|- 2 (%e ) - 4\|- 2 +--R Type: Expression Integer +--E 96 + +--S 97 of 508 +d0318:= D(m0318,x) +--R +--R +--R (95) +--R +---+ 2 x 16 +---+ 2 x 12 +--R 28\|- 2 coth(x) (%e ) + 252\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 8 +---+ 2 x 4 +--R 672\|- 2 coth(x) (%e ) + 704\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 +--R 256\|- 2 coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ 2 +---+ x 16 +--R (28\|- 2 coth(x) - 28\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (252\|- 2 coth(x) - 252\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (672\|- 2 coth(x) - 672\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +---+ 2 +--R (704\|- 2 coth(x) - 704\|- 2 )(%e ) + 256\|- 2 coth(x) +--R + +--R +---+ +--R - 256\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R 2 x 18 2 x 16 2 x 14 +--R - 2coth(x) (%e ) - 6coth(x) (%e ) - 54coth(x) (%e ) +--R + +--R 2 x 12 2 x 10 2 x 8 +--R - 146coth(x) (%e ) - 304coth(x) (%e ) - 528coth(x) (%e ) +--R + +--R 2 x 6 2 x 4 2 x 2 +--R - 608coth(x) (%e ) - 544coth(x) (%e ) - 384coth(x) (%e ) +--R + +--R 2 +--R - 128coth(x) +--R * +--R 6 +--R tanh(x) +--R + +--R 2 x 18 2 x 16 +--R (- coth(x) + 2)(%e ) + (- 3coth(x) + 6)(%e ) +--R + +--R 2 x 14 2 x 12 +--R (- 27coth(x) + 54)(%e ) + (- 73coth(x) + 146)(%e ) +--R + +--R 2 x 10 2 x 8 +--R (- 152coth(x) + 304)(%e ) + (- 264coth(x) + 528)(%e ) +--R + +--R 2 x 6 2 x 4 +--R (- 304coth(x) + 608)(%e ) + (- 272coth(x) + 544)(%e ) +--R + +--R 2 x 2 2 +--R (- 192coth(x) + 384)(%e ) - 64coth(x) + 128 +--R * +--R 4 +--R tanh(x) +--R + +--R x 18 x 16 x 14 +--R 5coth(x)(%e ) + 15coth(x)(%e ) + 135coth(x)(%e ) +--R + +--R x 12 x 10 x 8 +--R 365coth(x)(%e ) + 760coth(x)(%e ) + 1320coth(x)(%e ) +--R + +--R x 6 x 4 x 2 +--R 1520coth(x)(%e ) + 1360coth(x)(%e ) + 960coth(x)(%e ) +--R + +--R 320coth(x) +--R * +--R 3 +--R tanh(x) +--R + +--R 2 x 18 2 x 16 +--R (- coth(x) - 6)(%e ) + (- 3coth(x) - 18)(%e ) +--R + +--R 2 x 14 2 x 12 +--R (- 27coth(x) - 162)(%e ) + (- 73coth(x) - 438)(%e ) +--R + +--R 2 x 10 2 x 8 +--R (- 152coth(x) - 912)(%e ) + (- 264coth(x) - 1584)(%e ) +--R + +--R 2 x 6 2 x 4 +--R (- 304coth(x) - 1824)(%e ) + (- 272coth(x) - 1632)(%e ) +--R + +--R 2 x 2 2 +--R (- 192coth(x) - 1152)(%e ) - 64coth(x) - 384 +--R * +--R 2 +--R tanh(x) +--R + +--R x 18 x 16 x 14 +--R - 5coth(x)(%e ) - 15coth(x)(%e ) - 135coth(x)(%e ) +--R + +--R x 12 x 10 x 8 +--R - 365coth(x)(%e ) - 760coth(x)(%e ) - 1320coth(x)(%e ) +--R + +--R x 6 x 4 x 2 +--R - 1520coth(x)(%e ) - 1360coth(x)(%e ) - 960coth(x)(%e ) +--R + +--R - 320coth(x) +--R * +--R tanh(x) +--R + +--R 2 x 18 2 x 16 +--R (- 2coth(x) + 2)(%e ) + (- 6coth(x) + 6)(%e ) +--R + +--R 2 x 14 2 x 12 +--R (- 54coth(x) + 54)(%e ) + (- 146coth(x) + 146)(%e ) +--R + +--R 2 x 10 2 x 8 +--R (- 304coth(x) + 304)(%e ) + (- 528coth(x) + 528)(%e ) +--R + +--R 2 x 6 2 x 4 +--R (- 608coth(x) + 608)(%e ) + (- 544coth(x) + 544)(%e ) +--R + +--R 2 x 2 2 +--R (- 384coth(x) + 384)(%e ) - 128coth(x) + 128 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R 2 x 20 2 x 16 2 x 12 +--R 8coth(x) (%e ) + 208coth(x) (%e ) + 1032coth(x) (%e ) +--R + +--R 2 x 8 2 x 4 2 +--R 1984coth(x) (%e ) + 1664coth(x) (%e ) + 512coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 x 20 2 x 16 +--R (8coth(x) - 8)(%e ) + (208coth(x) - 208)(%e ) +--R + +--R 2 x 12 2 x 8 +--R (1032coth(x) - 1032)(%e ) + (1984coth(x) - 1984)(%e ) +--R + +--R 2 x 4 2 +--R (1664coth(x) - 1664)(%e ) + 512coth(x) - 512 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R + +--R +---+ 2 x 18 +---+ 2 x 16 +--R 14\|- 2 coth(x) (%e ) + 42\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 14 +---+ 2 x 12 +--R 154\|- 2 coth(x) (%e ) + 350\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 10 +---+ 2 x 8 +--R 560\|- 2 coth(x) (%e ) + 784\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 6 +---+ 2 x 4 +--R 800\|- 2 coth(x) (%e ) + 608\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 2 +---+ 2 +--R 384\|- 2 coth(x) (%e ) + 128\|- 2 coth(x) +--R * +--R 6 +--R tanh(x) +--R + +--R +---+ 2 +---+ x 18 +--R (7\|- 2 coth(x) - 14\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 16 +--R (21\|- 2 coth(x) - 42\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 14 +--R (77\|- 2 coth(x) - 154\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (175\|- 2 coth(x) - 350\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 10 +--R (280\|- 2 coth(x) - 560\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (392\|- 2 coth(x) - 784\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 6 +--R (400\|- 2 coth(x) - 800\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (304\|- 2 coth(x) - 608\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (192\|- 2 coth(x) - 384\|- 2 )(%e ) + 64\|- 2 coth(x) - 128\|- 2 +--R * +--R 4 +--R tanh(x) +--R + +--R +---+ x 18 +---+ x 16 +--R - 35\|- 2 coth(x)(%e ) - 105\|- 2 coth(x)(%e ) +--R + +--R +---+ x 14 +---+ x 12 +--R - 385\|- 2 coth(x)(%e ) - 875\|- 2 coth(x)(%e ) +--R + +--R +---+ x 10 +---+ x 8 +--R - 1400\|- 2 coth(x)(%e ) - 1960\|- 2 coth(x)(%e ) +--R + +--R +---+ x 6 +---+ x 4 +--R - 2000\|- 2 coth(x)(%e ) - 1520\|- 2 coth(x)(%e ) +--R + +--R +---+ x 2 +---+ +--R - 960\|- 2 coth(x)(%e ) - 320\|- 2 coth(x) +--R * +--R 3 +--R tanh(x) +--R + +--R +---+ 2 +---+ x 18 +--R (7\|- 2 coth(x) + 42\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 16 +--R (21\|- 2 coth(x) + 126\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 14 +--R (77\|- 2 coth(x) + 462\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (175\|- 2 coth(x) + 1050\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 10 +--R (280\|- 2 coth(x) + 1680\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (392\|- 2 coth(x) + 2352\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 6 +--R (400\|- 2 coth(x) + 2400\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (304\|- 2 coth(x) + 1824\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (192\|- 2 coth(x) + 1152\|- 2 )(%e ) + 64\|- 2 coth(x) + 384\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ x 18 +---+ x 16 +--R 35\|- 2 coth(x)(%e ) + 105\|- 2 coth(x)(%e ) +--R + +--R +---+ x 14 +---+ x 12 +--R 385\|- 2 coth(x)(%e ) + 875\|- 2 coth(x)(%e ) +--R + +--R +---+ x 10 +---+ x 8 +--R 1400\|- 2 coth(x)(%e ) + 1960\|- 2 coth(x)(%e ) +--R + +--R +---+ x 6 +---+ x 4 +--R 2000\|- 2 coth(x)(%e ) + 1520\|- 2 coth(x)(%e ) +--R + +--R +---+ x 2 +---+ +--R 960\|- 2 coth(x)(%e ) + 320\|- 2 coth(x) +--R * +--R tanh(x) +--R + +--R +---+ 2 +---+ x 18 +--R (14\|- 2 coth(x) - 14\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 16 +--R (42\|- 2 coth(x) - 42\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 14 +--R (154\|- 2 coth(x) - 154\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (350\|- 2 coth(x) - 350\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 10 +--R (560\|- 2 coth(x) - 560\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (784\|- 2 coth(x) - 784\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 6 +--R (800\|- 2 coth(x) - 800\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (608\|- 2 coth(x) - 608\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (384\|- 2 coth(x) - 384\|- 2 )(%e ) + 128\|- 2 coth(x) - 128\|- 2 +--R / +--R 2 x 18 2 x 16 2 x 14 +--R 2coth(x) (%e ) + 6coth(x) (%e ) + 54coth(x) (%e ) +--R + +--R 2 x 12 2 x 10 2 x 8 +--R 146coth(x) (%e ) + 304coth(x) (%e ) + 528coth(x) (%e ) +--R + +--R 2 x 6 2 x 4 2 x 2 +--R 608coth(x) (%e ) + 544coth(x) (%e ) + 384coth(x) (%e ) +--R + +--R 2 +--R 128coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 x 18 2 x 16 +--R (2coth(x) - 2)(%e ) + (6coth(x) - 6)(%e ) +--R + +--R 2 x 14 2 x 12 +--R (54coth(x) - 54)(%e ) + (146coth(x) - 146)(%e ) +--R + +--R 2 x 10 2 x 8 +--R (304coth(x) - 304)(%e ) + (528coth(x) - 528)(%e ) +--R + +--R 2 x 6 2 x 4 +--R (608coth(x) - 608)(%e ) + (544coth(x) - 544)(%e ) +--R + +--R 2 x 2 2 +--R (384coth(x) - 384)(%e ) + 128coth(x) - 128 +--R * +--R +--------------+ +-------------+ +--R | 2 | x 4 +--R \|- tanh(x) - 1 \|- 2(%e ) - 2 +--R + +--R +---+ 2 x 18 +---+ 2 x 16 +--R - 14\|- 2 coth(x) (%e ) - 42\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 14 +---+ 2 x 12 +--R - 154\|- 2 coth(x) (%e ) - 350\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 10 +---+ 2 x 8 +--R - 560\|- 2 coth(x) (%e ) - 784\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 6 +---+ 2 x 4 +--R - 800\|- 2 coth(x) (%e ) - 608\|- 2 coth(x) (%e ) +--R + +--R +---+ 2 x 2 +---+ 2 +--R - 384\|- 2 coth(x) (%e ) - 128\|- 2 coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ 2 +---+ x 18 +--R (- 14\|- 2 coth(x) + 14\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 16 +--R (- 42\|- 2 coth(x) + 42\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 14 +--R (- 154\|- 2 coth(x) + 154\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (- 350\|- 2 coth(x) + 350\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 10 +--R (- 560\|- 2 coth(x) + 560\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (- 784\|- 2 coth(x) + 784\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 6 +--R (- 800\|- 2 coth(x) + 800\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (- 608\|- 2 coth(x) + 608\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 384\|- 2 coth(x) + 384\|- 2 )(%e ) - 128\|- 2 coth(x) + 128\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- tanh(x) - 1 +--R Type: Expression Integer +--E 97 + +--S 98 of 508 +t0319:= (a+b*tanh(x)^2)^(3/2) +--R +--R +--R +--------------+ +--R 2 | 2 +--R (96) (b tanh(x) + a)\|b tanh(x) + a +--R Type: Expression Integer +--E 98 + +--S 99 of 508 +r0319:= (a+b)^(3/2)*atanh((a+b)^(1/2)*tanh(x)/(a+b*tanh(x)^2)^(1/2))-3/2*a*b^(1/2)*atanh(coth(x)*(a+b*tanh(x)^2)^(1/2)/b^(1/2))-b^(3/2)*atanh(coth(x)*(a+b*tanh(x)^2)^(1/2)/b^(1/2))-1/2*b*tanh(x)*(a+b*tanh(x)^2)^(1/2) +--R +--R +--R (97) +--R +--------------+ +--R | 2 +--R +-+ coth(x)\|b tanh(x) + a +--R (- 2b - 3a)\|b atanh(------------------------) +--R +-+ +--R \|b +--R + +--R +-----+ +--------------+ +--R +-----+ tanh(x)\|b + a | 2 +--R (2b + 2a)\|b + a atanh(-----------------) - b tanh(x)\|b tanh(x) + a +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R / +--R 2 +--R Type: Expression Integer +--E 99 + +--S 100 of 508 +a0319:= integrate(t0319,x) +--R +--R +--R (98) +--R [ +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) + b + 5a b + 7a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 24a b - 24a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (2b - 8a b - 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R - b - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (6b - 6a b - 30a b - 18a )cosh(x) - b - 5a b - 7a b +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (8b + 8a b + 8a b + 8a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (- 8b + 32a b + 24a )cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 2b + 8a b + 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R b + 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) - 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (- 8b + 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (- 4b + 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) + 2b - 3a b - 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (8b - 12a b - 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (30b + 15a b - 45a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (12b - 18a b - 54a )cosh(x) - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (8b - 12a b - 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (2b - 3a b - 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) - 2b - 5a b - 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (2b + 3a b + 2a b + 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((56b + 84a b + 56a b + 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (140b + 210a b + 140a b + 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) - 4b - 2a b + 18a b + 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 3 +--R (160a b + 240a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (56b + 84a b + 56a b + 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (- 24b - 12a b + 108a b + 108a )cosh(x) + 8a b + 20a b +--R + +--R 3 +--R 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (2b + 3a b + 2a b + 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 4b - 2a b + 18a b + 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) + 2b + 7a b + 8a b + 3a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 3 +--R - 2a sinh(x) - 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (- 12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 +--R (- 8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) +--R + +--R 4 2 +--R - 2a cosh(x) + (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (- 4a b - 4a )cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (- b + 2a b + a )sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 15b + 30a b + 15a )cosh(x) + b + 2a b + 3a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 +--R (- 20b + 40a b + 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 15b + 30a b + 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) - b + 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x) +--R + +--R 2 2 3 +--R (4b + 8a b + 12a )cosh(x) +--R + +--R 2 2 +--R (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b + 2a b + a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) - 2b + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (- 8b + 8a b + 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 +--R (30a b + 30a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 12b + 12a b + 24a )cosh(x) + 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (- 8b + 8a b + 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (- 2b + 2a b + 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (- 4a b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (b + a )sinh(x) + (6b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b + 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((20b + 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (15b + 15a )cosh(x) + (- 6b + 18a )cosh(x) - b +--R + +--R 2 +--R 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (6b + 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b + a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R - 2a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (- 30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (- 40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 +--R - 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) - 4b +--R + +--R 2 2 +--R - 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R - 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R - 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) + 4b - 2a b + 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (24b - 12a b + 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 140a b cosh(x) + (60b - 30a b + 90a b)cosh(x) - 8b + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (80b - 40a b + 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (60b - 30a b + 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) + 4b + 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (24b - 12a b + 36a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) + (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (4b - 2a b + 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) + 2b - 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (8b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (12b - 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R ((12b - 12a)cosh(x) + (8b - 24a)cosh(x) + (- 4b - 12a)cosh(x)) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (2b - 6a)cosh(x) + (- 2b - 6a)cosh(x) - 2b - 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (2b + 2a )sinh(x) + (16b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((56b + 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((112b + 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((140b + 140a )cosh(x) + 120a cosh(x) - 4b + 4a b + 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (112b + 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (- 16b + 16a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (56b + 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (- 24b + 24a b + 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (16b + 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (- 16b + 16a b + 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (2b + 2a )cosh(x) + 8a cosh(x) + (- 4b + 4a b + 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) + 2b + 4a b + 2a +--R , +--R +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) + b + 5a b + 7a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 24a b - 24a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (2b - 8a b - 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R - b - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (6b - 6a b - 30a b - 18a )cosh(x) - b - 5a b - 7a b +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (8b + 8a b + 8a b + 8a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (- 8b + 32a b + 24a )cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 2b + 8a b + 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R b + 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) - 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (- 8b + 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (- 4b + 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 +--R (- 4b - 2a b + 6a )sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 60b - 30a b + 90a )cosh(x) - 4b + 6a b + 18a )sinh(x) +--R + +--R 2 2 3 +--R (- 80b - 40a b + 120a )cosh(x) +--R + +--R 2 2 +--R (- 16b + 24a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 60b - 30a b + 90a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 24b + 36a b + 108a )cosh(x) + 4b + 18a b + 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (- 16b + 24a b + 72a )cosh(x) + (8b + 36a b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 4b - 2a b + 6a )cosh(x) + (- 4b + 6a b + 18a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (4b + 18a b + 18a )cosh(x) + 4b + 10a b + 6a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +---+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|- b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 4b - 6a b - 4a b - 6a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 32b - 48a b - 32a b - 48a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R ((- 112b - 168a b - 112a b - 168a )cosh(x) - 16a b - 24a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 224b - 336a b - 224a b - 336a )cosh(x) +--R + +--R 2 3 +--R (- 96a b - 144a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 280b - 420a b - 280a b - 420a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 240a b - 360a )cosh(x) + 8b + 4a b - 36a b - 36a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 224b - 336a b - 224a b - 336a )cosh(x) +--R + +--R 2 3 3 +--R (- 320a b - 480a )cosh(x) +--R + +--R 3 2 2 3 +--R (32b + 16a b - 144a b - 144a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 4 +--R (- 240a b - 360a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (48b + 24a b - 216a b - 216a )cosh(x) - 16a b - 40a b +--R + +--R 3 +--R - 24a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 32b - 48a b - 32a b - 48a )cosh(x) +--R + +--R 2 3 5 +--R (- 96a b - 144a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (32b + 16a b - 144a b - 144a )cosh(x) +--R + +--R 2 2 3 +--R (- 32a b - 80a b - 48a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 4b - 6a b - 4a b - 6a )cosh(x) + (- 16a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (8b + 4a b - 36a b - 36a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (- 16a b - 40a b - 24a )cosh(x) - 4b - 14a b - 16a b - 6a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R + +--R 2 6 2 5 +--R - 2a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (- 30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (- 40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 +--R - 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) - 4b +--R + +--R 2 2 +--R - 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R - 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R - 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) + 4b - 2a b + 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (24b - 12a b + 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 140a b cosh(x) + (60b - 30a b + 90a b)cosh(x) - 8b + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (80b - 40a b + 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (60b - 30a b + 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) + 4b + 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (24b - 12a b + 36a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) + (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (4b - 2a b + 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) + 2b - 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (8b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (12b - 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R ((12b - 12a)cosh(x) + (8b - 24a)cosh(x) + (- 4b - 12a)cosh(x)) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (2b - 6a)cosh(x) + (- 2b - 6a)cosh(x) - 2b - 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (2b + 2a )sinh(x) + (16b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((56b + 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((112b + 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((140b + 140a )cosh(x) + 120a cosh(x) - 4b + 4a b + 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (112b + 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (- 16b + 16a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (56b + 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (- 24b + 24a b + 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (16b + 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (- 16b + 16a b + 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (2b + 2a )cosh(x) + 8a cosh(x) + (- 4b + 4a b + 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) + 2b + 4a b + 2a +--R ] +--R Type: Union(List Expression Integer,...) +--E 100 + +--S 101 of 508 +m0319a:= a0319.1-r0319 +--R +--R +--R (99) +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) + b + 5a b + 7a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 24a b - 24a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (2b - 8a b - 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) - b +--R + +--R 2 2 3 +--R - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (6b - 6a b - 30a b - 18a )cosh(x) - b - 5a b - 7a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 3 2 2 3 4 +--R (b + a b - a b - a )cosh(x) + (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (8b + 8a b + 8a b + 8a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (- 8b + 32a b + 24a )cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (- 2b + 8a b + 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) + b +--R + +--R 2 2 3 +--R 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) - 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (- 8b + 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (- 4b + 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) + 2b - 3a b - 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (8b - 12a b - 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (30b + 15a b - 45a )cosh(x) + (12b - 18a b - 54a )cosh(x) +--R + +--R 2 2 +--R - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (8b - 12a b - 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (2b - 3a b - 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) - 2b - 5a b - 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (2b + 3a b + 2a b + 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((56b + 84a b + 56a b + 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (140b + 210a b + 140a b + 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) - 4b - 2a b + 18a b + 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 3 +--R (160a b + 240a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (56b + 84a b + 56a b + 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (- 24b - 12a b + 108a b + 108a )cosh(x) + 8a b + 20a b +--R + +--R 3 +--R 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (2b + 3a b + 2a b + 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 4b - 2a b + 18a b + 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) + 2b + 7a b + 8a b + 3a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 3 +--R - 2a sinh(x) - 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (- 12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 +--R (- 8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) +--R + +--R 4 2 +--R - 2a cosh(x) + (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (- 4a b - 4a )cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (- b + 2a b + a )sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 15b + 30a b + 15a )cosh(x) + b + 2a b + 3a )sinh(x) +--R + +--R 2 2 3 +--R (- 20b + 40a b + 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 15b + 30a b + 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) - b + 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 6b + 12a b + 6a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (4b + 8a b + 12a )cosh(x) + (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b + 2a b + a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) - 2b + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (- 8b + 8a b + 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (30a b + 30a )cosh(x) + (- 12b + 12a b + 24a )cosh(x) +--R + +--R 2 2 +--R 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (- 8b + 8a b + 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (- 2b + 2a b + 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (- 4a b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (- 2a b - 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (b + a )sinh(x) + (6b + 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b + 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((20b + 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (15b + 15a )cosh(x) + (- 6b + 18a )cosh(x) - b +--R + +--R 2 +--R 2a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (6b + 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (- 2b + 4a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b + a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- b + 2a b + 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) + 2b - 3a b - 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (8b - 12a b - 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (30b + 15a b - 45a )cosh(x) + (12b - 18a b - 54a )cosh(x) +--R + +--R 2 2 +--R - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (8b - 12a b - 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (2b - 3a b - 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) - 2b - 5a b - 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (2b + 3a b + 2a b + 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((56b + 84a b + 56a b + 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (140b + 210a b + 140a b + 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) - 4b - 2a b + 18a b + 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 3 +--R (160a b + 240a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (56b + 84a b + 56a b + 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (- 24b - 12a b + 108a b + 108a )cosh(x) + 8a b + 20a b +--R + +--R 3 +--R 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (2b + 3a b + 2a b + 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 4b - 2a b + 18a b + 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) + 2b + 7a b + 8a b + 3a +--R * +--R +-+ +--R \|b +--R * +--R +--------------+ +--R | 2 +--R coth(x)\|b tanh(x) + a +--R atanh(------------------------) +--R +-+ +--R \|b +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) - 2b + 2a b +--R + +--R 2 3 +--R 10a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 40b - 40a b + 40a b + 40a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 8b + 8a b + 40a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 12b + 12a b + 60a b + 36a )cosh(x) + 2b + 10a b +--R + +--R 2 3 +--R 14a b + 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 8b + 8a b + 40a b + 24a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 20a b + 28a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 2b + 2a b + 10a b + 6a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) + 2b + 6a b + 6a b + 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 2b - 2a b - 2a b - 2a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 16a b - 16a b - 16a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 56b - 56a b - 56a b - 56a )cosh(x) - 8a b - 8a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 112a b - 112a b - 112a )cosh(x) +--R + +--R 2 3 +--R (- 48a b - 48a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 140b - 140a b - 140a b - 140a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 120a b - 120a )cosh(x) + 4b - 16a b - 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 112b - 112a b - 112a b - 112a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 160a b - 160a )cosh(x) + (16b - 64a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 120a b - 120a )cosh(x) + (24b - 96a b - 72a )cosh(x) +--R + +--R 2 2 3 +--R - 8a b - 16a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 16a b - 16a b - 16a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 48a b - 48a )cosh(x) + (16b - 64a b - 48a )cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 32a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 2b - 2a b - 2a b - 2a )cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (4b - 16a b - 12a )cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 3 2 2 3 +--R - 2b - 6a b - 6a b - 2a +--R * +--R +-----+ +--R \|b + a +--R * +--R +-----+ +--R tanh(x)\|b + a +--R atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R + +--R 2 6 2 5 +--R (b - a b)sinh(x) + (6b - 6a b)cosh(x)sinh(x) +--R + +--R 2 2 2 4 +--R ((15b - 15a b)cosh(x) + b - 3a b)sinh(x) +--R + +--R 2 3 2 3 +--R ((20b - 20a b)cosh(x) + (4b - 12a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R ((15b - 15a b)cosh(x) + (6b - 18a b)cosh(x) - b - 3a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 +--R (6b - 6a b)cosh(x) + (4b - 12a b)cosh(x) +--R + +--R 2 +--R (- 2b - 6a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (b - a b)cosh(x) + (b - 3a b)cosh(x) + (- b - 3a b)cosh(x) +--R + +--R 2 +--R - b - a b +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R tanh(x)\|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 8 3 2 7 +--R (b + a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 6 +--R ((28b + 28a b)cosh(x) + 4a b)sinh(x) +--R + +--R 3 2 3 2 5 +--R ((56b + 56a b)cosh(x) + 24a b cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 3 2 2 +--R ((70b + 70a b)cosh(x) + 60a b cosh(x) - 2b + 2a b + 6a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 5 2 3 +--R (56b + 56a b)cosh(x) + 80a b cosh(x) +--R + +--R 3 2 2 +--R (- 8b + 8a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 6 2 4 +--R (28b + 28a b)cosh(x) + 60a b cosh(x) +--R + +--R 3 2 2 2 2 2 +--R (- 12b + 12a b + 36a b)cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 7 2 5 +--R (8b + 8a b)cosh(x) + 24a b cosh(x) +--R + +--R 3 2 2 3 2 2 +--R (- 8b + 8a b + 24a b)cosh(x) + (8a b + 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 8 2 6 +--R (b + a b)cosh(x) + 4a b cosh(x) +--R + +--R 3 2 2 4 2 2 2 3 +--R (- 2b + 2a b + 6a b)cosh(x) + (4a b + 4a b)cosh(x) + b +--R + +--R 2 2 +--R 2a b + a b +--R * +--R tanh(x) +--R * +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R + +--R 2 6 2 5 +--R - 2a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (- 30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (- 40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R - 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) - 4b - 6a b +--R + +--R 2 +--R - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R - 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R - 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) + 4b - 2a b + 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (24b - 12a b + 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 140a b cosh(x) + (60b - 30a b + 90a b)cosh(x) - 8b + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (80b - 40a b + 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (60b - 30a b + 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) + 4b + 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (24b - 12a b + 36a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) + (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (4b - 2a b + 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) + 2b - 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (8b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (12b - 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R ((12b - 12a)cosh(x) + (8b - 24a)cosh(x) + (- 4b - 12a)cosh(x)) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (2b - 6a)cosh(x) + (- 2b - 6a)cosh(x) - 2b - 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (2b + 2a )sinh(x) + (16b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((56b + 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((112b + 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((140b + 140a )cosh(x) + 120a cosh(x) - 4b + 4a b + 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (112b + 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (- 16b + 16a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (56b + 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (- 24b + 24a b + 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (16b + 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (- 16b + 16a b + 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (2b + 2a )cosh(x) + 8a cosh(x) + (- 4b + 4a b + 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) + 2b + 4a b + 2a +--R Type: Expression Integer +--E 101 + +--S 1020 of 508 +--d0319a:= D(m0319a,x) +--E 1020 + +--S 130 of 508 +m0319b:= a0319.2-r0319 +--R +--R +--R (100) +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) + b + 5a b + 7a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 24a b - 24a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (2b - 8a b - 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) - b +--R + +--R 2 2 3 +--R - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (6b - 6a b - 30a b - 18a )cosh(x) - b - 5a b - 7a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 3 2 2 3 4 +--R (b + a b - a b - a )cosh(x) + (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (8b + 8a b + 8a b + 8a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (- 8b + 32a b + 24a )cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (- 2b + 8a b + 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) + b +--R + +--R 2 2 3 +--R 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (2b sinh(x) + 4b cosh(x)sinh(x) + 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) - 4b + 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (- 8b + 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (- 4b + 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) + 2b - 3a b - 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (8b - 12a b - 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (30b + 15a b - 45a )cosh(x) + (12b - 18a b - 54a )cosh(x) +--R + +--R 2 2 +--R - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (8b - 12a b - 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (2b - 3a b - 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) - 2b - 5a b - 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (2b + 3a b + 2a b + 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((56b + 84a b + 56a b + 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (140b + 210a b + 140a b + 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) - 4b - 2a b + 18a b + 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 3 +--R (160a b + 240a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (56b + 84a b + 56a b + 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (- 24b - 12a b + 108a b + 108a )cosh(x) + 8a b + 20a b +--R + +--R 3 +--R 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 24a b + 16a b + 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 16b - 8a b + 72a b + 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (2b + 3a b + 2a b + 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 4b - 2a b + 18a b + 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) + 2b + 7a b + 8a b + 3a +--R * +--R +-+ +--R \|b +--R * +--R +--------------+ +--R | 2 +--R coth(x)\|b tanh(x) + a +--R atanh(------------------------) +--R +-+ +--R \|b +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) - 2b + 2a b +--R + +--R 2 3 +--R 10a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 40b - 40a b + 40a b + 40a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 8b + 8a b + 40a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 12b + 12a b + 60a b + 36a )cosh(x) + 2b + 10a b +--R + +--R 2 3 +--R 14a b + 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 8b + 8a b + 40a b + 24a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 20a b + 28a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 2b + 2a b + 10a b + 6a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) + 2b + 6a b + 6a b + 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 2b - 2a b - 2a b - 2a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 16a b - 16a b - 16a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 56b - 56a b - 56a b - 56a )cosh(x) - 8a b - 8a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 112a b - 112a b - 112a )cosh(x) +--R + +--R 2 3 +--R (- 48a b - 48a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 140b - 140a b - 140a b - 140a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 120a b - 120a )cosh(x) + 4b - 16a b - 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 112b - 112a b - 112a b - 112a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 160a b - 160a )cosh(x) + (16b - 64a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 120a b - 120a )cosh(x) + (24b - 96a b - 72a )cosh(x) +--R + +--R 2 2 3 +--R - 8a b - 16a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 16a b - 16a b - 16a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 48a b - 48a )cosh(x) + (16b - 64a b - 48a )cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 32a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 2b - 2a b - 2a b - 2a )cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (4b - 16a b - 12a )cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 3 2 2 3 +--R - 2b - 6a b - 6a b - 2a +--R * +--R +-----+ +--R \|b + a +--R * +--R +-----+ +--R tanh(x)\|b + a +--R atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R + +--R 2 2 6 +--R (- 4b - 2a b + 6a )sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 60b - 30a b + 90a )cosh(x) - 4b + 6a b + 18a )sinh(x) +--R + +--R 2 2 3 +--R (- 80b - 40a b + 120a )cosh(x) +--R + +--R 2 2 +--R (- 16b + 24a b + 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 60b - 30a b + 90a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 24b + 36a b + 108a )cosh(x) + 4b + 18a b + 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (- 16b + 24a b + 72a )cosh(x) + (8b + 36a b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 4b - 2a b + 6a )cosh(x) + (- 4b + 6a b + 18a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (4b + 18a b + 18a )cosh(x) + 4b + 10a b + 6a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +---+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|- b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 4b - 6a b - 4a b - 6a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 32b - 48a b - 32a b - 48a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R ((- 112b - 168a b - 112a b - 168a )cosh(x) - 16a b - 24a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 224b - 336a b - 224a b - 336a )cosh(x) +--R + +--R 2 3 +--R (- 96a b - 144a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 280b - 420a b - 280a b - 420a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 240a b - 360a )cosh(x) + 8b + 4a b - 36a b - 36a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 224b - 336a b - 224a b - 336a )cosh(x) +--R + +--R 2 3 3 +--R (- 320a b - 480a )cosh(x) +--R + +--R 3 2 2 3 +--R (32b + 16a b - 144a b - 144a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 4 +--R (- 240a b - 360a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (48b + 24a b - 216a b - 216a )cosh(x) - 16a b - 40a b +--R + +--R 3 +--R - 24a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 32b - 48a b - 32a b - 48a )cosh(x) +--R + +--R 2 3 5 +--R (- 96a b - 144a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (32b + 16a b - 144a b - 144a )cosh(x) +--R + +--R 2 2 3 +--R (- 32a b - 80a b - 48a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 4b - 6a b - 4a b - 6a )cosh(x) + (- 16a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (8b + 4a b - 36a b - 36a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (- 16a b - 40a b - 24a )cosh(x) - 4b - 14a b - 16a b - 6a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) +--R + +--R 2 +--R (- b - a)cosh(x) - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R + +--R 2 6 2 5 +--R (b - a b)sinh(x) + (6b - 6a b)cosh(x)sinh(x) +--R + +--R 2 2 2 4 +--R ((15b - 15a b)cosh(x) + b - 3a b)sinh(x) +--R + +--R 2 3 2 3 +--R ((20b - 20a b)cosh(x) + (4b - 12a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R ((15b - 15a b)cosh(x) + (6b - 18a b)cosh(x) - b - 3a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 +--R (6b - 6a b)cosh(x) + (4b - 12a b)cosh(x) +--R + +--R 2 +--R (- 2b - 6a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (b - a b)cosh(x) + (b - 3a b)cosh(x) + (- b - 3a b)cosh(x) +--R + +--R 2 +--R - b - a b +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R tanh(x)\|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 8 3 2 7 +--R (b + a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 6 +--R ((28b + 28a b)cosh(x) + 4a b)sinh(x) +--R + +--R 3 2 3 2 5 +--R ((56b + 56a b)cosh(x) + 24a b cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 3 2 2 +--R ((70b + 70a b)cosh(x) + 60a b cosh(x) - 2b + 2a b + 6a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 5 2 3 +--R (56b + 56a b)cosh(x) + 80a b cosh(x) +--R + +--R 3 2 2 +--R (- 8b + 8a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 6 2 4 +--R (28b + 28a b)cosh(x) + 60a b cosh(x) +--R + +--R 3 2 2 2 2 2 +--R (- 12b + 12a b + 36a b)cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 7 2 5 +--R (8b + 8a b)cosh(x) + 24a b cosh(x) +--R + +--R 3 2 2 3 2 2 +--R (- 8b + 8a b + 24a b)cosh(x) + (8a b + 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 8 2 6 +--R (b + a b)cosh(x) + 4a b cosh(x) +--R + +--R 3 2 2 4 2 2 2 3 +--R (- 2b + 2a b + 6a b)cosh(x) + (4a b + 4a b)cosh(x) + b +--R + +--R 2 2 +--R 2a b + a b +--R * +--R tanh(x) +--R * +--R +--------------+ +--R | 2 +--R \|b tanh(x) + a +--R + +--R 2 6 2 5 +--R - 2a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (- 30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (- 40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R - 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) - 4b - 6a b +--R + +--R 2 +--R - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R - 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R - 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) + 4b - 2a b + 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (24b - 12a b + 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 140a b cosh(x) + (60b - 30a b + 90a b)cosh(x) - 8b + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (80b - 40a b + 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (60b - 30a b + 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) + 4b + 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (24b - 12a b + 36a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) + (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (4b - 2a b + 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) + 2b - 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (8b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (12b - 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R ((12b - 12a)cosh(x) + (8b - 24a)cosh(x) + (- 4b - 12a)cosh(x)) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (2b - 6a)cosh(x) + (- 2b - 6a)cosh(x) - 2b - 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) - 2b + 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (2b + 2a )sinh(x) + (16b + 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((56b + 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((112b + 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((140b + 140a )cosh(x) + 120a cosh(x) - 4b + 4a b + 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (112b + 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (- 16b + 16a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (56b + 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (- 24b + 24a b + 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (16b + 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (- 16b + 16a b + 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (2b + 2a )cosh(x) + 8a cosh(x) + (- 4b + 4a b + 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) + 2b + 4a b + 2a +--R Type: Expression Integer +--E 130 + +--S 14 of 508 +--d0319b:= D(m0319b,x) +--E 14 + +--S 105 of 508 +t0320:= coth(a+b*x) +--R +--R +--R (101) coth(b x + a) +--R Type: Expression Integer +--E 105 + +--S 106 of 508 +r0320:= log(sinh(a+b*x))/b +--R +--R +--R log(sinh(b x + a)) +--R (102) ------------------ +--R b +--R Type: Expression Integer +--E 106 + +--S 107 of 508 +a0320:= integrate(t0320,x) +--R +--R +--R 2sinh(b x + a) +--R log(- -----------------------------) - b x +--R sinh(b x + a) - cosh(b x + a) +--R (103) ------------------------------------------ +--R b +--R Type: Union(Expression Integer,...) +--E 107 + +--S 108 of 508 +m0320:= a0320-r0320 +--R +--R +--R 2sinh(b x + a) +--R - log(sinh(b x + a)) + log(- -----------------------------) - b x +--R sinh(b x + a) - cosh(b x + a) +--R (104) ----------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 108 + +--S 109 of 508 +d0320:= D(m0320,x) +--R +--R +--R (105) 0 +--R Type: Expression Integer +--E 109 + +--S 110 of 508 +t0321:= coth(a+b*x)^2 +--R +--R +--R 2 +--R (106) coth(b x + a) +--R Type: Expression Integer +--E 110 + +--S 111 of 508 +r0321:= x-coth(a+b*x)/b +--R +--R +--R - coth(b x + a) + b x +--R (107) --------------------- +--R b +--R Type: Expression Integer +--E 111 + +--S 112 of 508 +a0321:= integrate(t0321,x) +--R +--R +--R (b x + 1)sinh(b x + a) - cosh(b x + a) +--R (108) -------------------------------------- +--R b sinh(b x + a) +--R Type: Union(Expression Integer,...) +--E 112 + +--S 113 of 508 +m0321:= a0321-r0321 +--R +--R +--R (coth(b x + a) + 1)sinh(b x + a) - cosh(b x + a) +--R (109) ------------------------------------------------ +--R b sinh(b x + a) +--R Type: Expression Integer +--E 113 + +--S 114 of 508 +d0321:= D(m0321,x) +--R +--R +--R 2 2 2 +--R - coth(b x + a) sinh(b x + a) + cosh(b x + a) +--R (110) ----------------------------------------------- +--R 2 +--R sinh(b x + a) +--R Type: Expression Integer +--E 114 + +--S 115 of 508 +t0322:= coth(a+b*x)^4 +--R +--R +--R 4 +--R (111) coth(b x + a) +--R Type: Expression Integer +--E 115 + +--S 116 of 508 +r0322:= x-coth(a+b*x)/b-1/3*coth(a+b*x)^3/b +--R +--R +--R 3 +--R - coth(b x + a) - 3coth(b x + a) + 3b x +--R (112) ---------------------------------------- +--R 3b +--R Type: Expression Integer +--E 116 + +--S 117 of 508 +a0322:= integrate(t0322,x) +--R +--R +--R (113) +--R 3 2 +--R (3b x + 4)sinh(b x + a) - 12cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 +--R ((9b x + 12)cosh(b x + a) - 9b x - 12)sinh(b x + a) - 4cosh(b x + a) +--R / +--R 3 2 +--R 3b sinh(b x + a) + (9b cosh(b x + a) - 9b)sinh(b x + a) +--R Type: Union(Expression Integer,...) +--E 117 + +--S 118 of 508 +m0322:= a0322-r0322 +--R +--R +--R (114) +--R 3 3 +--R (coth(b x + a) + 3coth(b x + a) + 4)sinh(b x + a) +--R + +--R 2 +--R - 12cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 +--R (3cosh(b x + a) - 3)coth(b x + a) +--R + +--R 2 2 +--R (9cosh(b x + a) - 9)coth(b x + a) + 12cosh(b x + a) - 12 +--R * +--R sinh(b x + a) +--R + +--R 3 +--R - 4cosh(b x + a) +--R / +--R 3 2 +--R 3b sinh(b x + a) + (9b cosh(b x + a) - 9b)sinh(b x + a) +--R Type: Expression Integer +--E 118 + +--S 119 of 508 +d0322:= D(m0322,x) +--R +--R +--R (115) +--R 4 6 +--R (- coth(b x + a) - 3)sinh(b x + a) +--R + +--R 2 4 2 +--R ((- 6cosh(b x + a) + 6)coth(b x + a) + 18cosh(b x + a) + 6) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 4 2 4 +--R (- 9cosh(b x + a) + 18cosh(b x + a) - 9)coth(b x + a) +--R + +--R 4 2 +--R - 3cosh(b x + a) + 6cosh(b x + a) + 9 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 6 4 +--R 4cosh(b x + a) - 4cosh(b x + a) +--R / +--R 6 2 4 +--R sinh(b x + a) + (6cosh(b x + a) - 6)sinh(b x + a) +--R + +--R 4 2 2 +--R (9cosh(b x + a) - 18cosh(b x + a) + 9)sinh(b x + a) +--R Type: Expression Integer +--E 119 + +--S 120 of 508 +t0323:= coth(a+b*x)^(1/2) +--R +--R +--R +-------------+ +--R (116) \|coth(b x + a) +--R Type: Expression Integer +--E 120 + +--S 121 of 508 +r0323:= -(atan(coth(a+b*x)^(1/2))-atanh(coth(a+b*x)^(1/2)))/b +--R +--R +--R +-------------+ +-------------+ +--R atanh(\|coth(b x + a) ) - atan(\|coth(b x + a) ) +--R (117) ------------------------------------------------ +--R b +--R Type: Expression Integer +--E 121 + +--S 122 of 508 +a0323:= integrate(t0323,x) +--R +--R +--R (118) +--R - +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R / +--R 2b +--R Type: Union(Expression Integer,...) +--E 122 + +--S 123 of 508 +m0323:= a0323-r0323 +--R +--R +--R (119) +--R - +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R +-------------+ +-------------+ +--R - 2atanh(\|coth(b x + a) ) + 2atan(\|coth(b x + a) ) +--R + +--R 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R / +--R 2b +--R Type: Expression Integer +--E 123 + +--S 124 of 508 +d0323:= D(m0323,x) +--R +--R +--R (120) +--R 8 7 +--R - sinh(b x + a) - 18cosh(b x + a)sinh(b x + a) +--R + +--R 2 6 +--R (- 78cosh(b x + a) - 1)sinh(b x + a) +--R + +--R 3 5 +--R (- 154cosh(b x + a) - 8cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (- 160cosh(b x + a) - 9cosh(b x + a) + 1)sinh(b x + a) +--R + +--R 5 3 +--R (- 86cosh(b x + a) + 8cosh(b x + a) + 2cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 18cosh(b x + a) + 13cosh(b x + a) - 4cosh(b x + a) + 1) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 3 8 +--R (2cosh(b x + a) - 2cosh(b x + a) )sinh(b x + a) + cosh(b x + a) +--R + +--R 6 4 2 +--R - 3cosh(b x + a) + 3cosh(b x + a) - cosh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 7 2 6 +--R 6cosh(b x + a)sinh(b x + a) + 42cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R (118cosh(b x + a) + 6cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (170cosh(b x + a) + 10cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 3 +--R (130cosh(b x + a) - 4cosh(b x + a) + 2cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 2 +--R (46cosh(b x + a) - 12cosh(b x + a) - 2cosh(b x + a) )sinh(b x + a) +--R + +--R 7 5 3 +--R 2cosh(b x + a) - 2cosh(b x + a) - 2cosh(b x + a) +--R + +--R 2cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 8 6 4 2 +--R - 2cosh(b x + a) + 2cosh(b x + a) + 2cosh(b x + a) - 2cosh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 7 +--R - 12cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 6 +--R - 64cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 3 5 +--R (- 140cosh(b x + a) + 12cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 4 +--R (- 160cosh(b x + a) + 48cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (- 100cosh(b x + a) + 72cosh(b x + a) - 4cosh(b x + a)) +--R * +--R 3 +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (- 32cosh(b x + a) + 48cosh(b x + a) - 16cosh(b x + a) ) +--R * +--R 2 +--R coth(b x + a)sinh(b x + a) +--R + +--R 7 5 3 +--R - 4cosh(b x + a) + 12cosh(b x + a) - 12cosh(b x + a) +--R + +--R 4cosh(b x + a) +--R * +--R coth(b x + a)sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 7 +--R 4cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 6 +--R 32cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 3 5 +--R 100cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 4 2 4 +--R (160cosh(b x + a) - 24cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (140cosh(b x + a) - 72cosh(b x + a) + 4cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (64cosh(b x + a) - 72cosh(b x + a) + 16cosh(b x + a) )coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R (12cosh(b x + a) - 24cosh(b x + a) + 12cosh(b x + a) )coth(b x + a) +--R * +--R sinh(b x + a) +--R / +--R 7 2 6 +--R 12cosh(b x + a)sinh(b x + a) + 64cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R (140cosh(b x + a) - 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (160cosh(b x + a) - 48cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (100cosh(b x + a) - 72cosh(b x + a) + 4cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (32cosh(b x + a) - 48cosh(b x + a) + 16cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 4cosh(b x + a) - 12cosh(b x + a) + 12cosh(b x + a) +--R + +--R - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 7 2 6 +--R - 4cosh(b x + a)sinh(b x + a) - 32cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R - 100cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 4 +--R (- 160cosh(b x + a) + 24cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 3 +--R (- 140cosh(b x + a) + 72cosh(b x + a) - 4cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 +--R (- 64cosh(b x + a) + 72cosh(b x + a) - 16cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R (- 12cosh(b x + a) + 24cosh(b x + a) - 12cosh(b x + a) )sinh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 124 + +--S 125 of 508 +t0324:= coth(a+b*x)^(3/2) +--R +--R +--R +-------------+ +--R (121) coth(b x + a)\|coth(b x + a) +--R Type: Expression Integer +--E 125 + +--S 126 of 508 +r0324:= (atan(coth(a+b*x)^(1/2))+atanh(coth(a+b*x)^(1/2))-2*coth(a+b*x)^(1/2))/b +--R +--R +--R +-------------+ +-------------+ +-------------+ +--R atanh(\|coth(b x + a) ) + atan(\|coth(b x + a) ) - 2\|coth(b x + a) +--R (122) -------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 126 + +--S 127 of 508 +a0324:= integrate(t0324,x) +--R +--R +--R (123) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) - 1 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - 8 +--R / +--R 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) +--R + +--R - 2b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R 2b +--R Type: Union(Expression Integer,...) +--E 127 + +--S 128 of 508 +m0324:= a0324-r0324 +--R +--R +--R (124) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) - 1 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R +-------------+ +--R atanh(\|coth(b x + a) ) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R +-------------+ +--R atan(\|coth(b x + a) ) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R 4sinh(b x + a) + 8cosh(b x + a)sinh(b x + a) + 4cosh(b x + a) +--R + +--R - 4 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 4sinh(b x + a) - 8cosh(b x + a)sinh(b x + a) - 4cosh(b x + a) + 4 +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R - 8 +--R / +--R 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) +--R + +--R - 2b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R 2b +--R Type: Expression Integer +--E 128 + +--S 129 of 508 +d0324:= D(m0324,x) +--R +--R +--R (125) +--R 13 12 +--R - sinh(b x + a) - 35cosh(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R (- 310cosh(b x + a) - 3)sinh(b x + a) +--R + +--R 3 10 +--R (- 1378cosh(b x + a) - 63cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 3731cosh(b x + a) - 317cosh(b x + a) - 2)sinh(b x + a) +--R + +--R 5 3 +--R (- 6681cosh(b x + a) - 697cosh(b x + a) - 22cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 8196cosh(b x + a) - 670cosh(b x + a) - 40cosh(b x + a) +--R + +--R 2 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 6924cosh(b x + a) + 42cosh(b x + a) + 24cosh(b x + a) +--R + +--R 10cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 3927cosh(b x + a) + 742cosh(b x + a) + 100cosh(b x + a) +--R + +--R 2 +--R - 6cosh(b x + a) + 3 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 1381cosh(b x + a) + 718cosh(b x + a) + 28cosh(b x + a) +--R + +--R 3 +--R - 30cosh(b x + a) + 9cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 230cosh(b x + a) + 273cosh(b x + a) - 72cosh(b x + a) +--R + +--R 4 2 +--R 6cosh(b x + a) - 10cosh(b x + a) + 1 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 14cosh(b x + a) + 5cosh(b x + a) - 40cosh(b x + a) +--R + +--R 5 3 +--R 30cosh(b x + a) - 14cosh(b x + a) + 5cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 11cosh(b x + a) - 25cosh(b x + a) + 14cosh(b x + a) +--R + +--R 6 4 2 +--R - 2cosh(b x + a) + 7cosh(b x + a) - 5cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 13 11 9 +--R cosh(b x + a) - 5cosh(b x + a) + 10cosh(b x + a) +--R + +--R 7 5 3 +--R - 10cosh(b x + a) + 5cosh(b x + a) - cosh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 12 2 11 +--R 8cosh(b x + a)sinh(b x + a) + 116cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (700cosh(b x + a) + 20cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (2396cosh(b x + a) + 160cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (5244cosh(b x + a) + 508cosh(b x + a) + 16cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (7752cosh(b x + a) + 768cosh(b x + a) + 40cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7896cosh(b x + a) + 392cosh(b x + a) - 8cosh(b x + a) +--R + +--R 8cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R (5496cosh(b x + a) - 448cosh(b x + a) - 88cosh(b x + a) ) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 2496cosh(b x + a) - 840cosh(b x + a) - 40cosh(b x + a) +--R + +--R 3 +--R - 24cosh(b x + a) + 8cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 644cosh(b x + a) - 512cosh(b x + a) + 56cosh(b x + a) +--R + +--R 2 +--R 4cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 44cosh(b x + a) - 92cosh(b x + a) + 40cosh(b x + a) +--R + +--R 5 3 +--R 24cosh(b x + a) - 20cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 20cosh(b x + a) + 32cosh(b x + a) - 8cosh(b x + a) +--R + +--R 4 +--R - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 13 11 9 +--R - 4cosh(b x + a) + 12cosh(b x + a) - 8cosh(b x + a) +--R + +--R 7 5 3 +--R - 8cosh(b x + a) + 12cosh(b x + a) - 4cosh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 2 12 +--R - 20cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 2 11 +--R - 220cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 2 10 +--R (- 1084cosh(b x + a) + 52cosh(b x + a))coth(b x + a) sinh(b x + a) +--R + +--R 4 2 2 +--R (- 3156cosh(b x + a) + 516cosh(b x + a) )coth(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 6024cosh(b x + a) + 2176cosh(b x + a) - 56cosh(b x + a)) +--R * +--R 2 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7896cosh(b x + a) + 5152cosh(b x + a) - 504cosh(b x + a) ) +--R * +--R 2 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 3 +--R - 7224cosh(b x + a) + 7560cosh(b x + a) - 1720cosh(b x + a) +--R + +--R 40cosh(b x + a) +--R * +--R 2 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 4 +--R - 4584cosh(b x + a) + 7112cosh(b x + a) - 3000cosh(b x + a) +--R + +--R 2 +--R 280cosh(b x + a) +--R * +--R 2 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 5 +--R - 1956cosh(b x + a) + 4256cosh(b x + a) - 2920cosh(b x + a) +--R + +--R 3 +--R 640cosh(b x + a) - 20cosh(b x + a) +--R * +--R 2 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 6 +--R - 524cosh(b x + a) + 1536cosh(b x + a) - 1576cosh(b x + a) +--R + +--R 4 2 +--R 640cosh(b x + a) - 76cosh(b x + a) +--R * +--R 2 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 7 +--R - 76cosh(b x + a) + 292cosh(b x + a) - 424cosh(b x + a) +--R + +--R 5 3 +--R 280cosh(b x + a) - 76cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 8 +--R - 4cosh(b x + a) + 20cosh(b x + a) - 40cosh(b x + a) +--R + +--R 6 4 2 +--R 40cosh(b x + a) - 20cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 12 +--R 4cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 2 11 +--R 76cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 2 10 +--R (524cosh(b x + a) - 8cosh(b x + a))coth(b x + a) sinh(b x + a) +--R + +--R 4 2 2 9 +--R (1956cosh(b x + a) - 184cosh(b x + a) )coth(b x + a) sinh(b x + a) +--R + +--R 5 3 +--R (4584cosh(b x + a) - 1152cosh(b x + a) + 8cosh(b x + a)) +--R * +--R 2 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 2 +--R (7224cosh(b x + a) - 3584cosh(b x + a) + 200cosh(b x + a) ) +--R * +--R 2 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 3 +--R 7896cosh(b x + a) - 6608cosh(b x + a) + 1032cosh(b x + a) +--R + +--R - 8cosh(b x + a) +--R * +--R 2 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 4 +--R 6024cosh(b x + a) - 7728cosh(b x + a) + 2440cosh(b x + a) +--R + +--R 2 +--R - 128cosh(b x + a) +--R * +--R 2 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 5 +--R 3156cosh(b x + a) - 5824cosh(b x + a) + 3160cosh(b x + a) +--R + +--R 3 +--R - 464cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 6 +--R 1084cosh(b x + a) - 2752cosh(b x + a) + 2328cosh(b x + a) +--R + +--R 4 2 +--R - 704cosh(b x + a) + 44cosh(b x + a) +--R * +--R 2 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 7 +--R 220cosh(b x + a) - 744cosh(b x + a) + 920cosh(b x + a) +--R + +--R 5 3 +--R - 488cosh(b x + a) + 92cosh(b x + a) +--R * +--R 2 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 8 +--R 20cosh(b x + a) - 88cosh(b x + a) + 152cosh(b x + a) +--R + +--R 6 4 2 +--R - 128cosh(b x + a) + 52cosh(b x + a) - 8cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) sinh(b x + a) +--R / +--R 12 2 11 +--R 20cosh(b x + a)sinh(b x + a) + 220cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (1084cosh(b x + a) - 52cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (3156cosh(b x + a) - 516cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (6024cosh(b x + a) - 2176cosh(b x + a) + 56cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (7896cosh(b x + a) - 5152cosh(b x + a) + 504cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7224cosh(b x + a) - 7560cosh(b x + a) + 1720cosh(b x + a) +--R + +--R - 40cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 4584cosh(b x + a) - 7112cosh(b x + a) + 3000cosh(b x + a) +--R + +--R 2 +--R - 280cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 1956cosh(b x + a) - 4256cosh(b x + a) + 2920cosh(b x + a) +--R + +--R 3 +--R - 640cosh(b x + a) + 20cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 524cosh(b x + a) - 1536cosh(b x + a) + 1576cosh(b x + a) +--R + +--R 4 2 +--R - 640cosh(b x + a) + 76cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 76cosh(b x + a) - 292cosh(b x + a) + 424cosh(b x + a) +--R + +--R 5 3 +--R - 280cosh(b x + a) + 76cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 4cosh(b x + a) - 20cosh(b x + a) + 40cosh(b x + a) +--R + +--R 6 4 2 +--R - 40cosh(b x + a) + 20cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 12 2 11 +--R - 4cosh(b x + a)sinh(b x + a) - 76cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (- 524cosh(b x + a) + 8cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 1956cosh(b x + a) + 184cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 4584cosh(b x + a) + 1152cosh(b x + a) - 8cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7224cosh(b x + a) + 3584cosh(b x + a) - 200cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 7896cosh(b x + a) + 6608cosh(b x + a) - 1032cosh(b x + a) +--R + +--R 8cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 6024cosh(b x + a) + 7728cosh(b x + a) - 2440cosh(b x + a) +--R + +--R 2 +--R 128cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 3156cosh(b x + a) + 5824cosh(b x + a) - 3160cosh(b x + a) +--R + +--R 3 +--R 464cosh(b x + a) - 4cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 1084cosh(b x + a) + 2752cosh(b x + a) - 2328cosh(b x + a) +--R + +--R 4 2 +--R 704cosh(b x + a) - 44cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 220cosh(b x + a) + 744cosh(b x + a) - 920cosh(b x + a) +--R + +--R 5 3 +--R 488cosh(b x + a) - 92cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 20cosh(b x + a) + 88cosh(b x + a) - 152cosh(b x + a) +--R + +--R 6 4 2 +--R 128cosh(b x + a) - 52cosh(b x + a) + 8cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 129 + +--S 130 of 508 +t0325:= coth(a+b*x)^(5/2) +--R +--R +--R 2 +-------------+ +--R (126) coth(b x + a) \|coth(b x + a) +--R Type: Expression Integer +--E 130 + +--S 131 of 508 +r0325:= -1/3*(3*atan(coth(a+b*x)^(1/2))-3*atanh(coth(a+b*x)^(1/2))+2*coth(a+b*x)^(3/2))/b +--R +--R +--R (127) +--R +-------------+ +-------------+ +--R 3atanh(\|coth(b x + a) ) - 3atan(\|coth(b x + a) ) +--R + +--R +-------------+ +--R - 2coth(b x + a)\|coth(b x + a) +--R / +--R 3b +--R Type: Expression Integer +--E 131 + +--S 132 of 508 +a0325:= integrate(t0325,x) +--R +--R +--R (128) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) + 15)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) + 60cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) + 90cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) + 60cosh(b x + a) - 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) + 15cosh(b x + a) - 12cosh(b x + a) + 3 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) - 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) - 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) - 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (36cosh(b x + a) - 36cosh(b x + a) )sinh(b x + a) + 6cosh(b x + a) +--R + +--R 4 +--R - 9cosh(b x + a) + 3 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 30)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 180cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 120cosh(b x + a) + 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12cosh(b x + a) - 30cosh(b x + a) + 24cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12cosh(b x + a) + 18cosh(b x + a) - 6 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (144cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 3 4 +--R (96cosh(b x + a) - 48cosh(b x + a))sinh(b x + a) + 24cosh(b x + a) +--R + +--R 2 +--R - 24cosh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R - 144cosh(b x + a) sinh(b x + a) - 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R - 24cosh(b x + a) + 8 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) - 30b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) - 120b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) - 180b cosh(b x + a) + 24b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) - 120b cosh(b x + a) + 48b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) - 30b cosh(b x + a) + 24b cosh(b x + a) - 6b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) + 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) + 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) + 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) + 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) + 18b cosh(b x + a) - 6b +--R Type: Union(Expression Integer,...) +--E 132 + +--S 133 of 508 +m0325:= a0325-r0325 +--R +--R +--R (129) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) + 15)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) + 60cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) + 90cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) + 60cosh(b x + a) - 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) + 15cosh(b x + a) - 12cosh(b x + a) + 3 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) - 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) - 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) - 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (36cosh(b x + a) - 36cosh(b x + a) )sinh(b x + a) + 6cosh(b x + a) +--R + +--R 4 +--R - 9cosh(b x + a) + 3 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 30)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 180cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 120cosh(b x + a) - 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) + 30cosh(b x + a) - 24cosh(b x + a) + 6 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (72cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) + 12cosh(b x + a) +--R + +--R 4 +--R - 18cosh(b x + a) + 6 +--R * +--R +-------------+ +--R atanh(\|coth(b x + a) ) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 30)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 180cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 120cosh(b x + a) + 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12cosh(b x + a) - 30cosh(b x + a) + 24cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12cosh(b x + a) + 18cosh(b x + a) - 6 +--R * +--R +-------------+ +--R atan(\|coth(b x + a) ) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 30)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 180cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 120cosh(b x + a) + 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12cosh(b x + a) - 30cosh(b x + a) + 24cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12cosh(b x + a) + 18cosh(b x + a) - 6 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 +--R 8coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R 48cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (120cosh(b x + a) - 20)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (160cosh(b x + a) - 80cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 +--R (120cosh(b x + a) - 120cosh(b x + a) + 16)coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (48cosh(b x + a) - 80cosh(b x + a) + 32cosh(b x + a)) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (8cosh(b x + a) - 20cosh(b x + a) + 16cosh(b x + a) - 4) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 +--R - 8coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R - 48cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 120cosh(b x + a) + 12)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (- 160cosh(b x + a) + 48cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 2 +--R (- 120cosh(b x + a) + 72cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (- 48cosh(b x + a) + 48cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (- 8cosh(b x + a) + 12cosh(b x + a) - 4)coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (144cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 3 4 +--R (96cosh(b x + a) - 48cosh(b x + a))sinh(b x + a) + 24cosh(b x + a) +--R + +--R 2 +--R - 24cosh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R - 144cosh(b x + a) sinh(b x + a) - 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R - 24cosh(b x + a) + 8 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) - 30b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) - 120b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) - 180b cosh(b x + a) + 24b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) - 120b cosh(b x + a) + 48b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) - 30b cosh(b x + a) + 24b cosh(b x + a) - 6b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) + 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) + 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) + 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) + 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) + 18b cosh(b x + a) - 6b +--R Type: Expression Integer +--E 133 + +--S 134 of 508 +d0325:= D(m0325,x) +--R +--R +--R (130) +--R 19 18 +--R - 12sinh(b x + a) - 492cosh(b x + a)sinh(b x + a) +--R + +--R 2 17 +--R (- 6420cosh(b x + a) + 12)sinh(b x + a) +--R + +--R 3 16 +--R (- 45396cosh(b x + a) - 228cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (- 208368cosh(b x + a) - 4176cosh(b x + a) + 33)sinh(b x + a) +--R + +--R 5 3 +--R - 677616cosh(b x + a) - 28272cosh(b x + a) +--R + +--R 429cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 1640016cosh(b x + a) - 113184cosh(b x + a) +--R + +--R 2 +--R 4101cosh(b x + a) - 38 +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 3042000cosh(b x + a) - 309504cosh(b x + a) +--R + +--R 3 +--R 26625cosh(b x + a) - 618cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 4398888cosh(b x + a) - 620880cosh(b x + a) +--R + +--R 4 2 +--R 112125cosh(b x + a) - 3880cosh(b x + a) - 33 +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 5000424cosh(b x + a) - 954096cosh(b x + a) +--R + +--R 5 3 +--R 318681cosh(b x + a) - 13368cosh(b x + a) - 53cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 4471896cosh(b x + a) - 1156584cosh(b x + a) +--R + +--R 6 4 +--R 638913cosh(b x + a) - 29310cosh(b x + a) +--R + +--R 2 +--R - 1223cosh(b x + a) + 24 +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 3124056cosh(b x + a) - 1129128cosh(b x + a) +--R + +--R 7 5 +--R 932877cosh(b x + a) - 45426cosh(b x + a) +--R + +--R 3 +--R - 10731cosh(b x + a) + 624cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 1675440cosh(b x + a) - 899184cosh(b x + a) +--R + +--R 8 6 +--R 1012275cosh(b x + a) - 56256cosh(b x + a) +--R + +--R 4 2 +--R - 37930cosh(b x + a) + 3816cosh(b x + a) + 15 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 666288cosh(b x + a) - 585936cosh(b x + a) +--R + +--R 9 7 +--R 825495cosh(b x + a) - 63360cosh(b x + a) +--R + +--R 5 3 +--R - 71890cosh(b x + a) + 11592cosh(b x + a) - 29cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 182544cosh(b x + a) - 309504cosh(b x + a) +--R + +--R 10 8 +--R 507903cosh(b x + a) - 66306cosh(b x + a) +--R + +--R 6 4 +--R - 79758cosh(b x + a) + 20568cosh(b x + a) +--R + +--R 2 +--R - 537cosh(b x + a) + 2 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 27792cosh(b x + a) - 129312cosh(b x + a) +--R + +--R 11 9 +--R 235059cosh(b x + a) - 57710cosh(b x + a) +--R + +--R 7 5 +--R - 50678cosh(b x + a) + 21864cosh(b x + a) +--R + +--R 3 +--R - 1701cosh(b x + a) + 62cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R 468cosh(b x + a) - 40944cosh(b x + a) +--R + +--R 12 10 +--R 80751cosh(b x + a) - 36888cosh(b x + a) +--R + +--R 8 6 +--R - 14501cosh(b x + a) + 12984cosh(b x + a) +--R + +--R 4 2 +--R - 2267cosh(b x + a) + 208cosh(b x + a) - 3 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 +--R 1140cosh(b x + a) - 9168cosh(b x + a) +--R + +--R 13 11 +--R 19875cosh(b x + a) - 15688cosh(b x + a) +--R + +--R 9 7 5 +--R 1815cosh(b x + a) + 3096cosh(b x + a) - 1215cosh(b x + a) +--R + +--R 3 +--R 160cosh(b x + a) - 15cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 +--R 204cosh(b x + a) - 1284cosh(b x + a) +--R + +--R 14 12 +--R 3195cosh(b x + a) - 3930cosh(b x + a) +--R + +--R 10 8 6 +--R 2373cosh(b x + a) - 528cosh(b x + a) - 27cosh(b x + a) +--R + +--R 4 2 +--R - 18cosh(b x + a) + 15cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 19 17 15 +--R 12cosh(b x + a) - 84cosh(b x + a) + 255cosh(b x + a) +--R + +--R 13 11 9 +--R - 438cosh(b x + a) + 465cosh(b x + a) - 312cosh(b x + a) +--R + +--R 7 5 3 +--R 129cosh(b x + a) - 30cosh(b x + a) + 3cosh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 18 2 17 +--R 96cosh(b x + a)sinh(b x + a) + 1968cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (18192cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (101952cosh(b x + a) + 1440cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (390720cosh(b x + a) + 12096cosh(b x + a) + 60cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (1091328cosh(b x + a) + 59232cosh(b x + a) - 420cosh(b x + a) ) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 2306304cosh(b x + a) + 193440cosh(b x + a) - 9288cosh(b x + a) +--R + +--R 408cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R 3771456cosh(b x + a) + 453024cosh(b x + a) +--R + +--R 4 2 +--R - 57864cosh(b x + a) + 3308cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R 4832256cosh(b x + a) + 796224cosh(b x + a) +--R + +--R 5 3 +--R - 203676cosh(b x + a) + 11556cosh(b x + a) + 180cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R 4873440cosh(b x + a) + 1084512cosh(b x + a) +--R + +--R 6 4 2 +--R - 477180cosh(b x + a) + 23044cosh(b x + a) + 1704cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R 3857568cosh(b x + a) + 1173744cosh(b x + a) +--R + +--R 7 5 3 +--R - 799920cosh(b x + a) + 31236cosh(b x + a) + 8468cosh(b x + a) +--R + +--R - 88cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R 2368704cosh(b x + a) + 1029600cosh(b x + a) +--R + +--R 8 6 +--R - 996336cosh(b x + a) + 38520cosh(b x + a) +--R + +--R 4 2 +--R 26528cosh(b x + a) - 904cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R 1100736cosh(b x + a) + 741312cosh(b x + a) +--R + +--R 9 7 +--R - 939708cosh(b x + a) + 55272cosh(b x + a) +--R + +--R 5 3 +--R 53928cosh(b x + a) - 4744cosh(b x + a) + 52cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R 368256cosh(b x + a) + 438048cosh(b x + a) +--R + +--R 10 8 +--R - 674652cosh(b x + a) + 75336cosh(b x + a) +--R + +--R 6 4 2 +--R 71344cosh(b x + a) - 13448cosh(b x + a) + 588cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R 78720cosh(b x + a) + 208416cosh(b x + a) +--R + +--R 11 9 +--R - 365640cosh(b x + a) + 75744cosh(b x + a) +--R + +--R 7 5 3 +--R 60424cosh(b x + a) - 21560cosh(b x + a) + 1856cosh(b x + a) +--R + +--R - 8cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R 6336cosh(b x + a) + 76512cosh(b x + a) +--R + +--R 12 10 +--R - 145800cosh(b x + a) + 51036cosh(b x + a) +--R + +--R 8 6 4 +--R 31008cosh(b x + a) - 19928cosh(b x + a) + 2760cosh(b x + a) +--R + +--R 2 +--R - 4cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 1632cosh(b x + a) + 20160cosh(b x + a) +--R + +--R 13 11 +--R - 40548cosh(b x + a) + 21812cosh(b x + a) +--R + +--R 9 7 5 +--R 8228cosh(b x + a) - 10264cosh(b x + a) + 2244cosh(b x + a) +--R + +--R 3 +--R 4cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R - 528cosh(b x + a) + 3360cosh(b x + a) - 7044cosh(b x + a) +--R + +--R 12 10 8 +--R 5364cosh(b x + a) + 488cosh(b x + a) - 2584cosh(b x + a) +--R + +--R 6 4 +--R 1004cosh(b x + a) - 60cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 19 17 15 +--R - 48cosh(b x + a) + 264cosh(b x + a) - 576cosh(b x + a) +--R + +--R 13 11 9 +--R 580cosh(b x + a) - 156cosh(b x + a) - 208cosh(b x + a) +--R + +--R 7 5 3 +--R 200cosh(b x + a) - 60cosh(b x + a) + 4cosh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 3 18 +--R - 240cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 3 17 +--R - 4080cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 3 +--R (- 32448cosh(b x + a) + 720cosh(b x + a))coth(b x + a) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 4 2 3 +--R (- 160320cosh(b x + a) + 11760cosh(b x + a) )coth(b x + a) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 551040cosh(b x + a) + 87696cosh(b x + a) - 732cosh(b x + a)) +--R * +--R 3 14 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 +--R - 1397760cosh(b x + a) + 397488cosh(b x + a) +--R + +--R 2 +--R - 12828cosh(b x + a) +--R * +--R 3 13 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 +--R - 2708160cosh(b x + a) + 1227408cosh(b x + a) +--R + +--R 3 +--R - 93816cosh(b x + a) + 312cosh(b x + a) +--R * +--R 3 12 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 +--R - 4090944cosh(b x + a) + 2738736cosh(b x + a) +--R + +--R 4 2 +--R - 394680cosh(b x + a) + 7464cosh(b x + a) +--R * +--R 3 11 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 +--R - 4873440cosh(b x + a) + 4564560cosh(b x + a) +--R + +--R 5 3 +--R - 1085700cosh(b x + a) + 54888cosh(b x + a) - 84cosh(b x + a) +--R * +--R 3 10 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 +--R - 4598880cosh(b x + a) + 5786352cosh(b x + a) +--R + +--R 6 4 2 +--R - 2082564cosh(b x + a) + 209592cosh(b x + a) - 2676cosh(b x + a) +--R * +--R 3 9 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 +--R - 3432000cosh(b x + a) + 5621616cosh(b x + a) +--R + +--R 7 5 +--R - 2881296cosh(b x + a) + 493488cosh(b x + a) +--R + +--R 3 +--R - 18240cosh(b x + a) - 48cosh(b x + a) +--R * +--R 3 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 +--R - 2009280cosh(b x + a) + 4180176cosh(b x + a) +--R + +--R 8 6 +--R - 2919312cosh(b x + a) + 773136cosh(b x + a) +--R + +--R 4 2 +--R - 59808cosh(b x + a) - 48cosh(b x + a) +--R * +--R 3 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 13 11 +--R - 908544cosh(b x + a) + 2354352cosh(b x + a) +--R + +--R 9 7 +--R - 2168100cosh(b x + a) + 833616cosh(b x + a) +--R + +--R 5 3 +--R - 115080cosh(b x + a) + 1728cosh(b x + a) + 108cosh(b x + a) +--R * +--R 3 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 14 12 +--R - 309120cosh(b x + a) + 982800cosh(b x + a) +--R + +--R 10 8 +--R - 1164900cosh(b x + a) + 623088cosh(b x + a) +--R + +--R 6 4 2 +--R - 139944cosh(b x + a) + 7680cosh(b x + a) + 396cosh(b x + a) +--R * +--R 3 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 15 13 +--R - 75840cosh(b x + a) + 292656cosh(b x + a) +--R + +--R 11 9 +--R - 439032cosh(b x + a) + 317592cosh(b x + a) +--R + +--R 7 5 3 +--R - 109536cosh(b x + a) + 14160cosh(b x + a) + 24cosh(b x + a) +--R + +--R - 24cosh(b x + a) +--R * +--R 3 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 16 14 +--R - 12480cosh(b x + a) + 58128cosh(b x + a) +--R + +--R 12 10 +--R - 109368cosh(b x + a) + 105288cosh(b x + a) +--R + +--R 8 6 4 +--R - 53760cosh(b x + a) + 13392cosh(b x + a) - 1224cosh(b x + a) +--R + +--R 2 +--R 24cosh(b x + a) +--R * +--R 3 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 17 15 +--R - 1200cosh(b x + a) + 6768cosh(b x + a) +--R + +--R 13 11 +--R - 15996cosh(b x + a) + 20424cosh(b x + a) +--R + +--R 9 7 5 +--R - 15108cosh(b x + a) + 6432cosh(b x + a) - 1476cosh(b x + a) +--R + +--R 3 +--R 168cosh(b x + a) - 12cosh(b x + a) +--R * +--R 3 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 18 16 14 +--R - 48cosh(b x + a) + 336cosh(b x + a) - 1020cosh(b x + a) +--R + +--R 12 10 8 +--R 1752cosh(b x + a) - 1860cosh(b x + a) + 1248cosh(b x + a) +--R + +--R 6 4 2 +--R - 516cosh(b x + a) + 120cosh(b x + a) - 12cosh(b x + a) +--R * +--R 3 +--R coth(b x + a) sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 3 18 +--R 48cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 3 17 +--R 1200cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 3 16 +--R (12480cosh(b x + a) - 96cosh(b x + a))coth(b x + a) sinh(b x + a) +--R + +--R 4 2 3 15 +--R (75840cosh(b x + a) - 3168cosh(b x + a) )coth(b x + a) sinh(b x + a) +--R + +--R 5 3 +--R (309120cosh(b x + a) - 33888cosh(b x + a) + 60cosh(b x + a)) +--R * +--R 3 14 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 2 +--R (908544cosh(b x + a) - 195936cosh(b x + a) + 3516cosh(b x + a) ) +--R * +--R 3 13 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 3 +--R 2009280cosh(b x + a) - 730080cosh(b x + a) + 38328cosh(b x + a) +--R + +--R - 36cosh(b x + a) +--R * +--R 3 12 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 4 +--R 3432000cosh(b x + a) - 1908192cosh(b x + a) + 206712cosh(b x + a) +--R + +--R 2 +--R - 2172cosh(b x + a) +--R * +--R 3 11 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 5 +--R 4598880cosh(b x + a) - 3665376cosh(b x + a) + 689700cosh(b x + a) +--R + +--R 3 +--R - 22764cosh(b x + a) +--R * +--R 3 10 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 +--R 4873440cosh(b x + a) - 5312736cosh(b x + a) +--R + +--R 6 4 2 +--R 1566180cosh(b x + a) - 113076cosh(b x + a) + 432cosh(b x + a) +--R * +--R 3 9 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 +--R 4090944cosh(b x + a) - 5889312cosh(b x + a) +--R + +--R 7 5 3 +--R 2539152cosh(b x + a) - 333864cosh(b x + a) + 6624cosh(b x + a) +--R + +--R 48cosh(b x + a) +--R * +--R 3 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 +--R 2708160cosh(b x + a) - 5010720cosh(b x + a) +--R + +--R 8 6 4 +--R 3008016cosh(b x + a) - 643608cosh(b x + a) + 34272cosh(b x + a) +--R + +--R 2 +--R 216cosh(b x + a) +--R * +--R 3 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 13 11 +--R 1397760cosh(b x + a) - 3253536cosh(b x + a) +--R + +--R 9 7 5 +--R 2621124cosh(b x + a) - 845208cosh(b x + a) + 90720cosh(b x + a) +--R + +--R 3 +--R - 960cosh(b x + a) - 12cosh(b x + a) +--R * +--R 3 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 14 12 +--R 551040cosh(b x + a) - 1586208cosh(b x + a) +--R + +--R 10 8 6 +--R 1666500cosh(b x + a) - 765864cosh(b x + a) + 141120cosh(b x + a) +--R + +--R 4 2 +--R - 6360cosh(b x + a) - 36cosh(b x + a) +--R * +--R 3 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 15 13 11 +--R 160320cosh(b x + a) - 562848cosh(b x + a) + 753720cosh(b x + a) +--R + +--R 9 7 5 +--R - 473076cosh(b x + a) + 135072cosh(b x + a) - 13200cosh(b x + a) +--R + +--R 3 +--R 24cosh(b x + a) - 12cosh(b x + a) +--R * +--R 3 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 16 14 12 +--R 32448cosh(b x + a) - 137376cosh(b x + a) + 230136cosh(b x + a) +--R + +--R 10 8 6 +--R - 190764cosh(b x + a) + 78624cosh(b x + a) - 13272cosh(b x + a) +--R + +--R 4 2 +--R 168cosh(b x + a) + 36cosh(b x + a) +--R * +--R 3 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 17 15 13 +--R 4080cosh(b x + a) - 20640cosh(b x + a) + 42588cosh(b x + a) +--R + +--R 11 9 7 +--R - 45372cosh(b x + a) + 25632cosh(b x + a) - 6624cosh(b x + a) +--R + +--R 5 3 +--R 180cosh(b x + a) + 156cosh(b x + a) +--R * +--R 3 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 18 16 14 +--R 240cosh(b x + a) - 1440cosh(b x + a) + 3612cosh(b x + a) +--R + +--R 12 10 8 +--R - 4836cosh(b x + a) + 3600cosh(b x + a) - 1320cosh(b x + a) +--R + +--R 6 4 2 +--R 60cosh(b x + a) + 108cosh(b x + a) - 24cosh(b x + a) +--R * +--R 3 +--R coth(b x + a) sinh(b x + a) +--R / +--R 18 2 17 +--R 240cosh(b x + a)sinh(b x + a) + 4080cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (32448cosh(b x + a) - 720cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (160320cosh(b x + a) - 11760cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (551040cosh(b x + a) - 87696cosh(b x + a) + 732cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R 1397760cosh(b x + a) - 397488cosh(b x + a) +--R + +--R 2 +--R 12828cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R 2708160cosh(b x + a) - 1227408cosh(b x + a) +--R + +--R 3 +--R 93816cosh(b x + a) - 312cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R 4090944cosh(b x + a) - 2738736cosh(b x + a) +--R + +--R 4 2 +--R 394680cosh(b x + a) - 7464cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R 4873440cosh(b x + a) - 4564560cosh(b x + a) +--R + +--R 5 3 +--R 1085700cosh(b x + a) - 54888cosh(b x + a) + 84cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R 4598880cosh(b x + a) - 5786352cosh(b x + a) +--R + +--R 6 4 2 +--R 2082564cosh(b x + a) - 209592cosh(b x + a) + 2676cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R 3432000cosh(b x + a) - 5621616cosh(b x + a) +--R + +--R 7 5 +--R 2881296cosh(b x + a) - 493488cosh(b x + a) +--R + +--R 3 +--R 18240cosh(b x + a) + 48cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R 2009280cosh(b x + a) - 4180176cosh(b x + a) +--R + +--R 8 6 +--R 2919312cosh(b x + a) - 773136cosh(b x + a) +--R + +--R 4 2 +--R 59808cosh(b x + a) + 48cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R 908544cosh(b x + a) - 2354352cosh(b x + a) +--R + +--R 9 7 +--R 2168100cosh(b x + a) - 833616cosh(b x + a) +--R + +--R 5 3 +--R 115080cosh(b x + a) - 1728cosh(b x + a) - 108cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R 309120cosh(b x + a) - 982800cosh(b x + a) +--R + +--R 10 8 +--R 1164900cosh(b x + a) - 623088cosh(b x + a) +--R + +--R 6 4 2 +--R 139944cosh(b x + a) - 7680cosh(b x + a) - 396cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R 75840cosh(b x + a) - 292656cosh(b x + a) +--R + +--R 11 9 +--R 439032cosh(b x + a) - 317592cosh(b x + a) +--R + +--R 7 5 3 +--R 109536cosh(b x + a) - 14160cosh(b x + a) - 24cosh(b x + a) +--R + +--R 24cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R 12480cosh(b x + a) - 58128cosh(b x + a) +--R + +--R 12 10 +--R 109368cosh(b x + a) - 105288cosh(b x + a) +--R + +--R 8 6 4 +--R 53760cosh(b x + a) - 13392cosh(b x + a) + 1224cosh(b x + a) +--R + +--R 2 +--R - 24cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 +--R 1200cosh(b x + a) - 6768cosh(b x + a) +--R + +--R 13 11 +--R 15996cosh(b x + a) - 20424cosh(b x + a) +--R + +--R 9 7 5 +--R 15108cosh(b x + a) - 6432cosh(b x + a) + 1476cosh(b x + a) +--R + +--R 3 +--R - 168cosh(b x + a) + 12cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R 48cosh(b x + a) - 336cosh(b x + a) + 1020cosh(b x + a) +--R + +--R 12 10 +--R - 1752cosh(b x + a) + 1860cosh(b x + a) +--R + +--R 8 6 4 +--R - 1248cosh(b x + a) + 516cosh(b x + a) - 120cosh(b x + a) +--R + +--R 2 +--R 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 18 2 17 +--R - 48cosh(b x + a)sinh(b x + a) - 1200cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (- 12480cosh(b x + a) + 96cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (- 75840cosh(b x + a) + 3168cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 309120cosh(b x + a) + 33888cosh(b x + a) - 60cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 908544cosh(b x + a) + 195936cosh(b x + a) - 3516cosh(b x + a) ) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 2009280cosh(b x + a) + 730080cosh(b x + a) +--R + +--R 3 +--R - 38328cosh(b x + a) + 36cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 3432000cosh(b x + a) + 1908192cosh(b x + a) +--R + +--R 4 2 +--R - 206712cosh(b x + a) + 2172cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 4598880cosh(b x + a) + 3665376cosh(b x + a) +--R + +--R 5 3 +--R - 689700cosh(b x + a) + 22764cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 4873440cosh(b x + a) + 5312736cosh(b x + a) +--R + +--R 6 4 2 +--R - 1566180cosh(b x + a) + 113076cosh(b x + a) - 432cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 4090944cosh(b x + a) + 5889312cosh(b x + a) +--R + +--R 7 5 3 +--R - 2539152cosh(b x + a) + 333864cosh(b x + a) - 6624cosh(b x + a) +--R + +--R - 48cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 2708160cosh(b x + a) + 5010720cosh(b x + a) +--R + +--R 8 6 +--R - 3008016cosh(b x + a) + 643608cosh(b x + a) +--R + +--R 4 2 +--R - 34272cosh(b x + a) - 216cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 1397760cosh(b x + a) + 3253536cosh(b x + a) +--R + +--R 9 7 +--R - 2621124cosh(b x + a) + 845208cosh(b x + a) +--R + +--R 5 3 +--R - 90720cosh(b x + a) + 960cosh(b x + a) + 12cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 551040cosh(b x + a) + 1586208cosh(b x + a) +--R + +--R 10 8 +--R - 1666500cosh(b x + a) + 765864cosh(b x + a) +--R + +--R 6 4 2 +--R - 141120cosh(b x + a) + 6360cosh(b x + a) + 36cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 160320cosh(b x + a) + 562848cosh(b x + a) +--R + +--R 11 9 +--R - 753720cosh(b x + a) + 473076cosh(b x + a) +--R + +--R 7 5 3 +--R - 135072cosh(b x + a) + 13200cosh(b x + a) - 24cosh(b x + a) +--R + +--R 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 32448cosh(b x + a) + 137376cosh(b x + a) +--R + +--R 12 10 +--R - 230136cosh(b x + a) + 190764cosh(b x + a) +--R + +--R 8 6 4 +--R - 78624cosh(b x + a) + 13272cosh(b x + a) - 168cosh(b x + a) +--R + +--R 2 +--R - 36cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 13 +--R - 4080cosh(b x + a) + 20640cosh(b x + a) - 42588cosh(b x + a) +--R + +--R 11 9 7 +--R 45372cosh(b x + a) - 25632cosh(b x + a) + 6624cosh(b x + a) +--R + +--R 5 3 +--R - 180cosh(b x + a) - 156cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R - 240cosh(b x + a) + 1440cosh(b x + a) - 3612cosh(b x + a) +--R + +--R 12 10 8 +--R 4836cosh(b x + a) - 3600cosh(b x + a) + 1320cosh(b x + a) +--R + +--R 6 4 2 +--R - 60cosh(b x + a) - 108cosh(b x + a) + 24cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 134 + +--S 135 of 508 +t0326:= 1/coth(a+b*x)^(3/2) +--R +--R +--R 1 +--R (131) ----------------------------- +--R +-------------+ +--R coth(b x + a)\|coth(b x + a) +--R Type: Expression Integer +--E 135 + +--S 136 of 508 +r0326:= -atan(coth(a+b*x)^(1/2))/b+atanh(coth(a+b*x)^(1/2))/b-2/b/coth(a+b*x)^(1/2) +--R +--R +--R (132) +--R +-------------+ +-------------+ +--R \|coth(b x + a) atanh(\|coth(b x + a) ) +--R + +--R +-------------+ +-------------+ +--R - \|coth(b x + a) atan(\|coth(b x + a) ) - 2 +--R / +--R +-------------+ +--R b\|coth(b x + a) +--R Type: Expression Integer +--E 136 + +--S 137 of 508 +a0326:= integrate(t0326,x) +--R +--R +--R (133) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) + 1 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) - 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 8 +--R / +--R 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) +--R + +--R - 2b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R - 2b +--R Type: Union(Expression Integer,...) +--E 137 + +--S 138 of 508 +m0326:= a0326-r0326 +--R +--R +--R (134) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) + 1 +--R * +--R +-------------+ +--R \|coth(b x + a) +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) + 2 +--R * +--R +-------------+ +-------------+ +--R \|coth(b x + a) atanh(\|coth(b x + a) ) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) - 2 +--R * +--R +-------------+ +-------------+ +--R \|coth(b x + a) atan(\|coth(b x + a) ) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) - 2 +--R * +--R +-------------+ +--R \|coth(b x + a) +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R +-------------+ +--R 8\|coth(b x + a) +--R + +--R 2 2 +--R (4sinh(b x + a) + 8cosh(b x + a)sinh(b x + a) + 4cosh(b x + a) - 4) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 4sinh(b x + a) - 8cosh(b x + a)sinh(b x + a) - 4cosh(b x + a) - 4 +--R / +--R 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R 2b cosh(b x + a) - 2b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R - 2b +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 138 + +--S 139 of 508 +d0326:= D(m0326,x) +--R +--R +--R (135) +--R 13 +--R - coth(b x + a)sinh(b x + a) +--R + +--R 12 +--R - 35cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R (- 310cosh(b x + a) + 5)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (- 1378cosh(b x + a) + 145cosh(b x + a))coth(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 3731cosh(b x + a) + 1035cosh(b x + a) - 10)coth(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 6681cosh(b x + a) + 3591cosh(b x + a) - 230cosh(b x + a)) +--R * +--R 8 +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R - 8196cosh(b x + a) + 7282cosh(b x + a) +--R + +--R 2 +--R - 1240cosh(b x + a) + 10 +--R * +--R 7 +--R coth(b x + a)sinh(b x + a) +--R + +--R 7 5 +--R - 6924cosh(b x + a) + 9226cosh(b x + a) +--R + +--R 3 +--R - 3064cosh(b x + a) + 170cosh(b x + a) +--R * +--R 6 +--R coth(b x + a)sinh(b x + a) +--R + +--R 8 6 +--R - 3927cosh(b x + a) + 7350cosh(b x + a) +--R + +--R 4 2 +--R - 4060cosh(b x + a) + 610cosh(b x + a) - 5 +--R * +--R 5 +--R coth(b x + a)sinh(b x + a) +--R + +--R 9 7 +--R - 1381cosh(b x + a) + 3470cosh(b x + a) +--R + +--R 5 3 +--R - 2900cosh(b x + a) + 866cosh(b x + a) - 55cosh(b x + a) +--R * +--R 4 +--R coth(b x + a)sinh(b x + a) +--R + +--R 10 8 6 +--R - 230cosh(b x + a) + 761cosh(b x + a) - 920cosh(b x + a) +--R + +--R 4 2 +--R 478cosh(b x + a) - 90cosh(b x + a) + 1 +--R * +--R 3 +--R coth(b x + a)sinh(b x + a) +--R + +--R 11 9 7 +--R 14cosh(b x + a) - 43cosh(b x + a) + 40cosh(b x + a) +--R + +--R 5 3 +--R - 2cosh(b x + a) - 14cosh(b x + a) + 5cosh(b x + a) +--R * +--R 2 +--R coth(b x + a)sinh(b x + a) +--R + +--R 12 10 8 +--R 11cosh(b x + a) - 49cosh(b x + a) + 86cosh(b x + a) +--R + +--R 6 4 2 +--R - 74cosh(b x + a) + 31cosh(b x + a) - 5cosh(b x + a) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 13 11 9 +--R cosh(b x + a) - 5cosh(b x + a) + 10cosh(b x + a) +--R + +--R 7 5 3 +--R - 10cosh(b x + a) + 5cosh(b x + a) - cosh(b x + a) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 12 +--R 8cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R 116cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 3 10 +--R (700cosh(b x + a) - 36cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 9 +--R (2396cosh(b x + a) - 432cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (5244cosh(b x + a) - 2076cosh(b x + a) + 64cosh(b x + a)) +--R * +--R 8 +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (7752cosh(b x + a) - 5440cosh(b x + a) + 600cosh(b x + a) ) +--R * +--R 7 +--R coth(b x + a)sinh(b x + a) +--R + +--R 7 5 3 +--R 7896cosh(b x + a) - 8680cosh(b x + a) + 2120cosh(b x + a) +--R + +--R - 56cosh(b x + a) +--R * +--R 6 +--R coth(b x + a)sinh(b x + a) +--R + +--R 8 6 4 +--R 5496cosh(b x + a) - 8736cosh(b x + a) + 3800cosh(b x + a) +--R + +--R 2 +--R - 368cosh(b x + a) +--R * +--R 5 +--R coth(b x + a)sinh(b x + a) +--R + +--R 9 7 5 +--R 2496cosh(b x + a) - 5432cosh(b x + a) + 3720cosh(b x + a) +--R + +--R 3 +--R - 808cosh(b x + a) + 24cosh(b x + a) +--R * +--R 4 +--R coth(b x + a)sinh(b x + a) +--R + +--R 10 8 6 +--R 644cosh(b x + a) - 1856cosh(b x + a) + 1864cosh(b x + a) +--R + +--R 4 2 +--R - 736cosh(b x + a) + 84cosh(b x + a) +--R * +--R 3 +--R coth(b x + a)sinh(b x + a) +--R + +--R 11 9 7 +--R 44cosh(b x + a) - 180cosh(b x + a) + 280cosh(b x + a) +--R + +--R 5 3 +--R - 200cosh(b x + a) + 60cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R coth(b x + a)sinh(b x + a) +--R + +--R 12 10 8 +--R - 20cosh(b x + a) + 80cosh(b x + a) - 120cosh(b x + a) +--R + +--R 6 4 +--R 80cosh(b x + a) - 20cosh(b x + a) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 13 11 9 +--R - 4cosh(b x + a) + 20cosh(b x + a) - 40cosh(b x + a) +--R + +--R 7 5 3 +--R 40cosh(b x + a) - 20cosh(b x + a) + 4cosh(b x + a) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 12 2 11 +--R - 20cosh(b x + a)sinh(b x + a) - 220cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (- 1084cosh(b x + a) - 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 3156cosh(b x + a) + 4cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 6024cosh(b x + a) + 384cosh(b x + a) + 8cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7896cosh(b x + a) + 1568cosh(b x + a) + 8cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 7224cosh(b x + a) + 3080cosh(b x + a) - 120cosh(b x + a) +--R + +--R 8cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 4584cosh(b x + a) + 3528cosh(b x + a) - 440cosh(b x + a) +--R + +--R 2 +--R - 8cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 1956cosh(b x + a) + 2464cosh(b x + a) - 680cosh(b x + a) +--R + +--R 3 +--R - 32cosh(b x + a) + 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 524cosh(b x + a) + 1024cosh(b x + a) - 552cosh(b x + a) +--R + +--R 4 2 +--R 32cosh(b x + a) + 20cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 76cosh(b x + a) + 228cosh(b x + a) - 232cosh(b x + a) +--R + +--R 5 3 +--R 88cosh(b x + a) - 12cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 4cosh(b x + a) + 20cosh(b x + a) - 40cosh(b x + a) +--R + +--R 6 4 2 +--R 40cosh(b x + a) - 20cosh(b x + a) + 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 12 2 11 +--R 4cosh(b x + a)sinh(b x + a) + 76cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (524cosh(b x + a) + 8cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (1956cosh(b x + a) + 24cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 8 +--R (4584cosh(b x + a) - 128cosh(b x + a) + 8cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 7 +--R (7224cosh(b x + a) - 896cosh(b x + a) + 8cosh(b x + a) )sinh(b x + a) +--R + +--R 7 5 3 +--R 7896cosh(b x + a) - 2352cosh(b x + a) + 8cosh(b x + a) +--R + +--R 8cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 6024cosh(b x + a) - 3472cosh(b x + a) + 200cosh(b x + a) +--R + +--R 2 +--R 32cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 3156cosh(b x + a) - 3136cosh(b x + a) + 600cosh(b x + a) +--R + +--R 3 +--R 16cosh(b x + a) + 4cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 1084cosh(b x + a) - 1728cosh(b x + a) + 728cosh(b x + a) +--R + +--R 4 2 +--R - 64cosh(b x + a) + 12cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 220cosh(b x + a) - 536cosh(b x + a) + 408cosh(b x + a) +--R + +--R 5 3 +--R - 88cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 20cosh(b x + a) - 72cosh(b x + a) + 88cosh(b x + a) +--R + +--R 6 4 2 +--R - 32cosh(b x + a) - 12cosh(b x + a) + 8cosh(b x + a) +--R * +--R sinh(b x + a) +--R / +--R 12 +--R 20cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R 220cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 3 10 +--R (1084cosh(b x + a) + 12cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 9 +--R (3156cosh(b x + a) - 4cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (6024cosh(b x + a) - 384cosh(b x + a) - 8cosh(b x + a)) +--R * +--R 8 +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (7896cosh(b x + a) - 1568cosh(b x + a) - 8cosh(b x + a) ) +--R * +--R 7 +--R coth(b x + a)sinh(b x + a) +--R + +--R 7 5 3 +--R 7224cosh(b x + a) - 3080cosh(b x + a) + 120cosh(b x + a) +--R + +--R - 8cosh(b x + a) +--R * +--R 6 +--R coth(b x + a)sinh(b x + a) +--R + +--R 8 6 4 +--R 4584cosh(b x + a) - 3528cosh(b x + a) + 440cosh(b x + a) +--R + +--R 2 +--R 8cosh(b x + a) +--R * +--R 5 +--R coth(b x + a)sinh(b x + a) +--R + +--R 9 7 5 +--R 1956cosh(b x + a) - 2464cosh(b x + a) + 680cosh(b x + a) +--R + +--R 3 +--R 32cosh(b x + a) - 12cosh(b x + a) +--R * +--R 4 +--R coth(b x + a)sinh(b x + a) +--R + +--R 10 8 6 +--R 524cosh(b x + a) - 1024cosh(b x + a) + 552cosh(b x + a) +--R + +--R 4 2 +--R - 32cosh(b x + a) - 20cosh(b x + a) +--R * +--R 3 +--R coth(b x + a)sinh(b x + a) +--R + +--R 11 9 7 +--R 76cosh(b x + a) - 228cosh(b x + a) + 232cosh(b x + a) +--R + +--R 5 3 +--R - 88cosh(b x + a) + 12cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R coth(b x + a)sinh(b x + a) +--R + +--R 12 10 8 +--R 4cosh(b x + a) - 20cosh(b x + a) + 40cosh(b x + a) +--R + +--R 6 4 2 +--R - 40cosh(b x + a) + 20cosh(b x + a) - 4cosh(b x + a) +--R * +--R coth(b x + a)sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 12 +--R - 4cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R - 76cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 3 10 +--R (- 524cosh(b x + a) - 8cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 9 +--R (- 1956cosh(b x + a) - 24cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (- 4584cosh(b x + a) + 128cosh(b x + a) - 8cosh(b x + a)) +--R * +--R 8 +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7224cosh(b x + a) + 896cosh(b x + a) - 8cosh(b x + a) ) +--R * +--R 7 +--R coth(b x + a)sinh(b x + a) +--R + +--R 7 5 3 +--R - 7896cosh(b x + a) + 2352cosh(b x + a) - 8cosh(b x + a) +--R + +--R - 8cosh(b x + a) +--R * +--R 6 +--R coth(b x + a)sinh(b x + a) +--R + +--R 8 6 4 +--R - 6024cosh(b x + a) + 3472cosh(b x + a) - 200cosh(b x + a) +--R + +--R 2 +--R - 32cosh(b x + a) +--R * +--R 5 +--R coth(b x + a)sinh(b x + a) +--R + +--R 9 7 5 +--R - 3156cosh(b x + a) + 3136cosh(b x + a) - 600cosh(b x + a) +--R + +--R 3 +--R - 16cosh(b x + a) - 4cosh(b x + a) +--R * +--R 4 +--R coth(b x + a)sinh(b x + a) +--R + +--R 10 8 6 +--R - 1084cosh(b x + a) + 1728cosh(b x + a) - 728cosh(b x + a) +--R + +--R 4 2 +--R 64cosh(b x + a) - 12cosh(b x + a) +--R * +--R 3 +--R coth(b x + a)sinh(b x + a) +--R + +--R 11 9 7 +--R - 220cosh(b x + a) + 536cosh(b x + a) - 408cosh(b x + a) +--R + +--R 5 3 +--R 88cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R coth(b x + a)sinh(b x + a) +--R + +--R 12 10 8 +--R - 20cosh(b x + a) + 72cosh(b x + a) - 88cosh(b x + a) +--R + +--R 6 4 2 +--R 32cosh(b x + a) + 12cosh(b x + a) - 8cosh(b x + a) +--R * +--R coth(b x + a)sinh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 139 + +--S 140 of 508 +t0327:= 1/coth(a+b*x)^(5/2) +--R +--R +--R 1 +--R (136) ------------------------------ +--R 2 +-------------+ +--R coth(b x + a) \|coth(b x + a) +--R Type: Expression Integer +--E 140 + +--S 141 of 508 +r0327:= atan(coth(a+b*x)^(1/2))/b+atanh(coth(a+b*x)^(1/2))/b-2/3/b/coth(a+b*x)^(3/2) +--R +--R +--R (137) +--R +-------------+ +-------------+ +--R 3coth(b x + a)\|coth(b x + a) atanh(\|coth(b x + a) ) +--R + +--R +-------------+ +-------------+ +--R 3coth(b x + a)\|coth(b x + a) atan(\|coth(b x + a) ) - 2 +--R / +--R +-------------+ +--R 3b coth(b x + a)\|coth(b x + a) +--R Type: Expression Integer +--E 141 + +--S 142 of 508 +a0327:= integrate(t0327,x) +--R +--R +--R (138) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) - 3)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) - 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) - 18cosh(b x + a) + 6)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) - 12cosh(b x + a) + 12cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) - 3cosh(b x + a) + 6cosh(b x + a) + 3 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) + 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) + 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) + 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (36cosh(b x + a) + 36cosh(b x + a) )sinh(b x + a) + 6cosh(b x + a) +--R + +--R 4 +--R 9cosh(b x + a) - 3 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 6)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) - 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) - 36cosh(b x + a) + 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 24cosh(b x + a) + 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) - 6cosh(b x + a) + 12cosh(b x + a) + 6 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) + 12cosh(b x + a) +--R + +--R 4 +--R 18cosh(b x + a) - 6 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (- 144cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 3 +--R (- 96cosh(b x + a) + 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R - 24cosh(b x + a) + 24cosh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R 144cosh(b x + a) sinh(b x + a) + 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R 24cosh(b x + a) - 8 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) + 6b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) + 24b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) + 36b cosh(b x + a) - 12b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) + 24b cosh(b x + a) - 24b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) + 6b cosh(b x + a) - 12b cosh(b x + a) - 6b +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) - 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) - 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) - 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) - 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) - 18b cosh(b x + a) + 6b +--R Type: Union(Expression Integer,...) +--E 142 + +--S 143 of 508 +m0327:= a0327-r0327 +--R +--R +--R (139) +--R 6 +--R - 6coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R - 36cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) - 3)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (- 120cosh(b x + a) - 12cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 90cosh(b x + a) - 18cosh(b x + a) + 6)coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) - 12cosh(b x + a) + 12cosh(b x + a)) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (- 6cosh(b x + a) - 3cosh(b x + a) + 6cosh(b x + a) + 3) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 +--R 6coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R 36cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) + 9)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) + 36cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) + 54cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (36cosh(b x + a) + 36cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (6cosh(b x + a) + 9cosh(b x + a) - 3)coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 +--R - 12coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R - 72cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 6)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (- 240cosh(b x + a) - 24cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 180cosh(b x + a) - 36cosh(b x + a) + 12)coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 24cosh(b x + a) + 24cosh(b x + a)) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (- 12cosh(b x + a) - 6cosh(b x + a) + 12cosh(b x + a) + 6) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 +--R 12coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R 72cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) + 72cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (12cosh(b x + a) + 18cosh(b x + a) - 6)coth(b x + a) +--R * +--R +-------------+ +-------------+ +--R \|coth(b x + a) atanh(\|coth(b x + a) ) +--R + +--R 6 +--R - 12coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R - 72cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 6)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (- 240cosh(b x + a) - 24cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 180cosh(b x + a) - 36cosh(b x + a) + 12)coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 24cosh(b x + a) + 24cosh(b x + a)) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (- 12cosh(b x + a) - 6cosh(b x + a) + 12cosh(b x + a) + 6) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 +--R 12coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R 72cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) + 72cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (12cosh(b x + a) + 18cosh(b x + a) - 6)coth(b x + a) +--R * +--R +-------------+ +-------------+ +--R \|coth(b x + a) atan(\|coth(b x + a) ) +--R + +--R 6 +--R - 12coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R - 72cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 6)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (- 240cosh(b x + a) - 24cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 180cosh(b x + a) - 36cosh(b x + a) + 12)coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 24cosh(b x + a) + 24cosh(b x + a)) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R (- 12cosh(b x + a) - 6cosh(b x + a) + 12cosh(b x + a) + 6) +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 +--R 12coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R 72cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) + 72cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (12cosh(b x + a) + 18cosh(b x + a) - 6)coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 4 +--R - 24coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R - 96cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (- 144cosh(b x + a) + 24)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (- 96cosh(b x + a) + 48cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 +--R (- 24cosh(b x + a) + 24cosh(b x + a) )coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 4 +--R 24coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R 96cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R 144cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R 96cosh(b x + a) coth(b x + a)sinh(b x + a) +--R + +--R 4 +--R (24cosh(b x + a) - 8)coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 6 5 +--R 8sinh(b x + a) + 48cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (120cosh(b x + a) + 4)sinh(b x + a) +--R + +--R 3 3 +--R (160cosh(b x + a) + 16cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (120cosh(b x + a) + 24cosh(b x + a) - 8)sinh(b x + a) +--R + +--R 5 3 +--R (48cosh(b x + a) + 16cosh(b x + a) - 16cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 +--R 8cosh(b x + a) + 4cosh(b x + a) - 8cosh(b x + a) - 4 +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 5 +--R - 8sinh(b x + a) - 48cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 120cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 3 3 +--R (- 160cosh(b x + a) - 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 120cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (- 48cosh(b x + a) - 48cosh(b x + a) )sinh(b x + a) - 8cosh(b x + a) +--R + +--R 4 +--R - 12cosh(b x + a) + 4 +--R / +--R 6 +--R 12b coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R 72b cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) + 6b)coth(b x + a)sinh(b x + a) +--R + +--R 3 +--R (240b cosh(b x + a) + 24b cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R (180b cosh(b x + a) + 36b cosh(b x + a) - 12b)coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) + 24b cosh(b x + a) - 24b cosh(b x + a)) +--R * +--R coth(b x + a)sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) + 6b cosh(b x + a) - 12b cosh(b x + a) +--R + +--R - 6b +--R * +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 6 +--R - 12b coth(b x + a)sinh(b x + a) +--R + +--R 5 +--R - 72b cosh(b x + a)coth(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) - 18b)coth(b x + a)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) - 72b cosh(b x + a))coth(b x + a)sinh(b x + a) +--R + +--R 4 2 +--R (- 180b cosh(b x + a) - 108b cosh(b x + a) )coth(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) - 72b cosh(b x + a) )coth(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (- 12b cosh(b x + a) - 18b cosh(b x + a) + 6b)coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 143 + +--S 144 of 508 +d0327:= D(m0327,x) +--R +--R +--R (140) +--R 2 21 +--R - 12coth(b x + a) sinh(b x + a) +--R + +--R 2 20 +--R - 516cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 2 19 +--R - 7416cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 2 +--R (- 58728cosh(b x + a) + 888cosh(b x + a))coth(b x + a) +--R * +--R 18 +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 305580cosh(b x + a) + 15360cosh(b x + a) + 45) +--R * +--R 2 17 +--R coth(b x + a) sinh(b x + a) +--R + +--R 5 3 +--R - 1139748cosh(b x + a) + 124008cosh(b x + a) +--R + +--R 555cosh(b x + a) +--R * +--R 2 16 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 +--R - 3203616cosh(b x + a) + 620736cosh(b x + a) +--R + +--R 2 +--R - 1200cosh(b x + a) + 5 +--R * +--R 2 15 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 +--R - 6999648cosh(b x + a) + 2157600cosh(b x + a) +--R + +--R 3 +--R - 46680cosh(b x + a) - 71cosh(b x + a) +--R * +--R 2 14 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 +--R - 12122904cosh(b x + a) + 5525184cosh(b x + a) +--R + +--R 4 2 +--R - 327036cosh(b x + a) + 3189cosh(b x + a) - 71 +--R * +--R 2 13 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 +--R - 16840200cosh(b x + a) + 10788960cosh(b x + a) +--R + +--R 5 3 +--R - 1281228cosh(b x + a) + 43097cosh(b x + a) +--R + +--R - 1393cosh(b x + a) +--R * +--R 2 12 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 +--R - 18871632cosh(b x + a) + 16396224cosh(b x + a) +--R + +--R 6 4 +--R - 3352128cosh(b x + a) + 238345cosh(b x + a) +--R + +--R 2 +--R - 9250cosh(b x + a) + 9 +--R * +--R 2 11 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 +--R - 17068272cosh(b x + a) + 19610448cosh(b x + a) +--R + +--R 7 5 +--R - 6290856cosh(b x + a) + 775533cosh(b x + a) +--R + +--R 3 +--R - 33534cosh(b x + a) - 443cosh(b x + a) +--R * +--R 2 10 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 +--R - 12395448cosh(b x + a) + 18532800cosh(b x + a) +--R + +--R 8 6 +--R - 8773050cosh(b x + a) + 1680393cosh(b x + a) +--R + +--R 4 2 +--R - 80253cosh(b x + a) - 6953cosh(b x + a) + 39 +--R * +--R 2 9 +--R coth(b x + a) sinh(b x + a) +--R + +--R 13 11 +--R - 7141224cosh(b x + a) + 13803504cosh(b x + a) +--R + +--R 9 7 +--R - 9248382cosh(b x + a) + 2568093cosh(b x + a) +--R + +--R 5 3 +--R - 141339cosh(b x + a) - 35709cosh(b x + a) +--R + +--R 1217cosh(b x + a) +--R * +--R 2 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 14 12 +--R - 3190560cosh(b x + a) + 8024640cosh(b x + a) +--R + +--R 10 8 +--R - 7406256cosh(b x + a) + 2845359cosh(b x + a) +--R + +--R 6 4 +--R - 194604cosh(b x + a) - 94438cosh(b x + a) +--R + +--R 2 +--R 7924cosh(b x + a) - 17 +--R * +--R 2 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 15 13 +--R - 1059168cosh(b x + a) + 3573024cosh(b x + a) +--R + +--R 11 9 +--R - 4481256cosh(b x + a) + 2306315cosh(b x + a) +--R + +--R 7 5 +--R - 212052cosh(b x + a) - 148078cosh(b x + a) +--R + +--R 3 +--R 23396cosh(b x + a) - 197cosh(b x + a) +--R * +--R 2 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 16 14 +--R - 237660cosh(b x + a) + 1178688cosh(b x + a) +--R + +--R 12 10 +--R - 2015052cosh(b x + a) + 1359391cosh(b x + a) +--R + +--R 8 6 +--R - 177681cosh(b x + a) - 144690cosh(b x + a) +--R + +--R 4 2 +--R 37994cosh(b x + a) - 925cosh(b x + a) - 1 +--R * +--R 2 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 17 15 +--R - 25716cosh(b x + a) + 271200cosh(b x + a) +--R + +--R 13 11 +--R - 652620cosh(b x + a) + 569739cosh(b x + a) +--R + +--R 9 7 +--R - 108503cosh(b x + a) - 88058cosh(b x + a) +--R + +--R 5 3 +--R 36094cosh(b x + a) - 2081cosh(b x + a) - 55cosh(b x + a) +--R * +--R 2 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 18 16 +--R 2952cosh(b x + a) + 38208cosh(b x + a) +--R + +--R 14 12 +--R - 144096cosh(b x + a) + 162179cosh(b x + a) +--R + +--R 10 8 +--R - 44818cosh(b x + a) - 31859cosh(b x + a) +--R + +--R 6 4 2 +--R 19892cosh(b x + a) - 2387cosh(b x + a) - 74cosh(b x + a) + 3 +--R * +--R 2 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 19 17 +--R 1560cosh(b x + a) + 2040cosh(b x + a) +--R + +--R 15 13 +--R - 19608cosh(b x + a) + 28687cosh(b x + a) +--R + +--R 11 9 +--R - 11086cosh(b x + a) - 6183cosh(b x + a) +--R + +--R 7 5 3 +--R 5844cosh(b x + a) - 1327cosh(b x + a) + 58cosh(b x + a) +--R + +--R 15cosh(b x + a) +--R * +--R 2 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 20 18 16 +--R 228cosh(b x + a) - 192cosh(b x + a) - 1323cosh(b x + a) +--R + +--R 14 12 +--R 2595cosh(b x + a) - 1227cosh(b x + a) +--R + +--R 10 8 6 +--R - 597cosh(b x + a) + 711cosh(b x + a) - 255cosh(b x + a) +--R + +--R 4 2 +--R 75cosh(b x + a) - 15cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 21 19 17 +--R 12cosh(b x + a) - 24cosh(b x + a) - 21cosh(b x + a) +--R + +--R 15 13 11 +--R 63cosh(b x + a) + 3cosh(b x + a) - 57cosh(b x + a) +--R + +--R 9 7 5 +--R 9cosh(b x + a) + 21cosh(b x + a) - 3cosh(b x + a) +--R + +--R 3 +--R - 3cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 20 +--R 96cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 2 19 +--R 2160cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 2 18 +--R (22224cosh(b x + a) - 168cosh(b x + a))coth(b x + a) sinh(b x + a) +--R + +--R 4 2 2 +--R (140304cosh(b x + a) - 4416cosh(b x + a) )coth(b x + a) +--R * +--R 17 +--R sinh(b x + a) +--R + +--R 5 3 +--R (612816cosh(b x + a) - 47160cosh(b x + a) - 300cosh(b x + a)) +--R * +--R 2 16 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 2 +--R (1974720cosh(b x + a) - 291648cosh(b x + a) - 1644cosh(b x + a) ) +--R * +--R 2 15 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 +--R 4879680cosh(b x + a) - 1204320cosh(b x + a) +--R + +--R 3 +--R 9228cosh(b x + a) - 60cosh(b x + a) +--R * +--R 2 14 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 +--R 9475392cosh(b x + a) - 3576384cosh(b x + a) +--R + +--R 4 2 +--R 133188cosh(b x + a) - 1664cosh(b x + a) +--R * +--R 2 13 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 +--R 14681472cosh(b x + a) - 7975968cosh(b x + a) +--R + +--R 5 3 +--R 689676cosh(b x + a) - 19228cosh(b x + a) + 396cosh(b x + a) +--R * +--R 2 12 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 +--R 18309408cosh(b x + a) - 13715520cosh(b x + a) +--R + +--R 6 4 2 +--R 2180100cosh(b x + a) - 119040cosh(b x + a) + 3284cosh(b x + a) +--R * +--R 2 11 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 +--R 18436704cosh(b x + a) - 18471024cosh(b x + a) +--R + +--R 7 5 +--R 4782492cosh(b x + a) - 456236cosh(b x + a) +--R + +--R 3 +--R 13732cosh(b x + a) + 172cosh(b x + a) +--R * +--R 2 10 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 +--R 14957280cosh(b x + a) - 19631040cosh(b x + a) +--R + +--R 8 6 +--R 7689396cosh(b x + a) - 1175680cosh(b x + a) +--R + +--R 4 2 +--R 41020cosh(b x + a) + 2688cosh(b x + a) +--R * +--R 2 9 +--R coth(b x + a) sinh(b x + a) +--R + +--R 13 11 +--R 9695712cosh(b x + a) - 16480464cosh(b x + a) +--R + +--R 9 7 +--R 9302436cosh(b x + a) - 2135628cosh(b x + a) +--R + +--R 5 3 +--R 97080cosh(b x + a) + 16452cosh(b x + a) - 212cosh(b x + a) +--R * +--R 2 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 14 12 +--R 4938432cosh(b x + a) - 10865088cosh(b x + a) +--R + +--R 10 8 +--R 8557692cosh(b x + a) - 2804736cosh(b x + a) +--R + +--R 6 4 2 +--R 177672cosh(b x + a) + 54592cosh(b x + a) - 2724cosh(b x + a) +--R * +--R 2 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 15 13 +--R 1915968cosh(b x + a) - 5547360cosh(b x + a) +--R + +--R 11 9 +--R 5980260cosh(b x + a) - 2688180cosh(b x + a) +--R + +--R 7 5 3 +--R 238728cosh(b x + a) + 111160cosh(b x + a) - 13132cosh(b x + a) +--R + +--R 60cosh(b x + a) +--R * +--R 2 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 16 14 +--R 532032cosh(b x + a) - 2138304cosh(b x + a) +--R + +--R 12 10 +--R 3135756cosh(b x + a) - 1871232cosh(b x + a) +--R + +--R 8 6 4 +--R 226104cosh(b x + a) + 146496cosh(b x + a) - 32196cosh(b x + a) +--R + +--R 2 +--R 704cosh(b x + a) +--R * +--R 2 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 17 15 +--R 89760cosh(b x + a) - 594720cosh(b x + a) +--R + +--R 13 11 +--R 1201668cosh(b x + a) - 926420cosh(b x + a) +--R + +--R 9 7 5 +--R 145020cosh(b x + a) + 126728cosh(b x + a) - 44500cosh(b x + a) +--R + +--R 3 +--R 2444cosh(b x + a) + 20cosh(b x + a) +--R * +--R 2 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 18 16 +--R 2544cosh(b x + a) - 109248cosh(b x + a) +--R + +--R 14 12 +--R 320748cosh(b x + a) - 312064cosh(b x + a) +--R + +--R 10 8 6 +--R 58980cosh(b x + a) + 70592cosh(b x + a) - 35212cosh(b x + a) +--R + +--R 4 2 +--R 3584cosh(b x + a) + 76cosh(b x + a) +--R * +--R 2 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 19 17 +--R - 2736cosh(b x + a) - 10536cosh(b x + a) +--R + +--R 15 13 +--R 54516cosh(b x + a) - 65508cosh(b x + a) +--R + +--R 11 9 7 +--R 13076cosh(b x + a) + 23772cosh(b x + a) - 14884cosh(b x + a) +--R + +--R 5 3 +--R 2228cosh(b x + a) + 76cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 20 16 14 +--R - 624cosh(b x + a) + 4860cosh(b x + a) - 7040cosh(b x + a) +--R + +--R 12 10 8 +--R 844cosh(b x + a) + 4160cosh(b x + a) - 2572cosh(b x + a) +--R + +--R 6 4 +--R 320cosh(b x + a) + 52cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 21 19 17 +--R - 48cosh(b x + a) + 72cosh(b x + a) + 120cosh(b x + a) +--R + +--R 15 13 11 +--R - 196cosh(b x + a) - 128cosh(b x + a) + 244cosh(b x + a) +--R + +--R 9 7 5 +--R 24cosh(b x + a) - 124cosh(b x + a) + 32cosh(b x + a) +--R + +--R 3 +--R 4cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R + +--R 20 2 19 +--R - 240cosh(b x + a)sinh(b x + a) - 4560cosh(b x + a) sinh(b x + a) +--R + +--R 3 18 +--R (- 40848cosh(b x + a) - 480cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (- 229296cosh(b x + a) - 7200cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 904128cosh(b x + a) - 50304cosh(b x + a) - 12cosh(b x + a)) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 2660160cosh(b x + a) - 216960cosh(b x + a) +--R + +--R 2 +--R 1308cosh(b x + a) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 6054720cosh(b x + a) - 645120cosh(b x + a) +--R + +--R 3 +--R 18180cosh(b x + a) + 420cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 10905024cosh(b x + a) - 1397760cosh(b x + a) +--R + +--R 4 2 +--R 111852cosh(b x + a) + 4644cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 15763488cosh(b x + a) - 2271360cosh(b x + a) +--R + +--R 5 3 +--R 416676cosh(b x + a) + 23112cosh(b x + a) + 228cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 18436704cosh(b x + a) - 2800512cosh(b x + a) +--R + +--R 6 4 2 +--R 1055340cosh(b x + a) + 67848cosh(b x + a) + 492cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 17503200cosh(b x + a) - 2608320cosh(b x + a) +--R + +--R 7 5 3 +--R 1923636cosh(b x + a) + 128700cosh(b x + a) - 5844cosh(b x + a) +--R + +--R 132cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 13472160cosh(b x + a) - 1784640cosh(b x + a) +--R + +--R 8 6 +--R 2599740cosh(b x + a) + 160380cosh(b x + a) +--R + +--R 4 2 +--R - 37116cosh(b x + a) + 900cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 8359104cosh(b x + a) - 823680cosh(b x + a) +--R + +--R 9 7 +--R 2640924cosh(b x + a) + 121968cosh(b x + a) +--R + +--R 5 3 +--R - 102744cosh(b x + a) + 2832cosh(b x + a) + 60cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 4135488cosh(b x + a) - 174720cosh(b x + a) +--R + +--R 10 8 +--R 2019732cosh(b x + a) + 33264cosh(b x + a) +--R + +--R 6 4 2 +--R - 168840cosh(b x + a) + 5712cosh(b x + a) + 948cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 1602624cosh(b x + a) + 69888cosh(b x + a) +--R + +--R 11 9 +--R 1151436cosh(b x + a) - 39204cosh(b x + a) +--R + +--R 7 5 3 +--R - 178920cosh(b x + a) + 8568cosh(b x + a) + 3804cosh(b x + a) +--R + +--R - 84cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 473280cosh(b x + a) + 80640cosh(b x + a) +--R + +--R 12 10 +--R 477828cosh(b x + a) - 56100cosh(b x + a) +--R + +--R 8 6 4 +--R - 124344cosh(b x + a) + 9912cosh(b x + a) + 6900cosh(b x + a) +--R + +--R 2 +--R - 276cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 102000cosh(b x + a) + 36480cosh(b x + a) +--R + +--R 13 11 +--R 138060cosh(b x + a) - 35640cosh(b x + a) +--R + +--R 9 7 5 +--R - 55116cosh(b x + a) + 8400cosh(b x + a) + 6420cosh(b x + a) +--R + +--R 3 +--R - 408cosh(b x + a) - 36cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 +--R - 14928cosh(b x + a) + 9600cosh(b x + a) +--R + +--R 14 12 +--R 25572cosh(b x + a) - 13176cosh(b x + a) +--R + +--R 10 8 6 +--R - 14244cosh(b x + a) + 4752cosh(b x + a) + 2940cosh(b x + a) +--R + +--R 4 2 +--R - 408cosh(b x + a) - 108cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 15 +--R - 1296cosh(b x + a) + 1440cosh(b x + a) + 2556cosh(b x + a) +--R + +--R 13 11 9 +--R - 2748cosh(b x + a) - 1668cosh(b x + a) + 1572cosh(b x + a) +--R + +--R 7 5 3 +--R 468cosh(b x + a) - 276cosh(b x + a) - 60cosh(b x + a) +--R + +--R 12cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R - 48cosh(b x + a) + 96cosh(b x + a) + 84cosh(b x + a) +--R + +--R 14 12 10 +--R - 252cosh(b x + a) - 12cosh(b x + a) + 228cosh(b x + a) +--R + +--R 8 6 4 +--R - 36cosh(b x + a) - 84cosh(b x + a) + 12cosh(b x + a) +--R + +--R 2 +--R 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 20 2 19 +--R 48cosh(b x + a)sinh(b x + a) + 1296cosh(b x + a) sinh(b x + a) +--R + +--R 3 18 +--R (14928cosh(b x + a) + 144cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (102000cosh(b x + a) + 2640cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (473280cosh(b x + a) + 22080cosh(b x + a) + 156cosh(b x + a)) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (1602624cosh(b x + a) + 112320cosh(b x + a) + 1044cosh(b x + a) ) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 4135488cosh(b x + a) + 389760cosh(b x + a) - 1332cosh(b x + a) +--R + +--R 96cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 8359104cosh(b x + a) + 978432cosh(b x + a) - 41340cosh(b x + a) +--R + +--R 2 +--R 96cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 13472160cosh(b x + a) + 1834560cosh(b x + a) - 225108cosh(b x + a) +--R + +--R 3 +--R - 4608cosh(b x + a) + 36cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R 17503200cosh(b x + a) + 2608320cosh(b x + a) +--R + +--R 6 4 2 +--R - 705276cosh(b x + a) - 29568cosh(b x + a) + 876cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R 18436704cosh(b x + a) + 2814240cosh(b x + a) +--R + +--R 7 5 3 +--R - 1504932cosh(b x + a) - 89760cosh(b x + a) + 7020cosh(b x + a) +--R + +--R - 48cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R 15763488cosh(b x + a) + 2265120cosh(b x + a) +--R + +--R 8 6 4 +--R - 2332044cosh(b x + a) - 161568cosh(b x + a) + 29700cosh(b x + a) +--R + +--R 2 +--R 120cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R 10905024cosh(b x + a) + 1290432cosh(b x + a) +--R + +--R 9 7 5 +--R - 2702700cosh(b x + a) - 177408cosh(b x + a) + 78120cosh(b x + a) +--R + +--R 3 +--R 1536cosh(b x + a) - 60cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R 6054720cosh(b x + a) + 436800cosh(b x + a) +--R + +--R 10 8 +--R - 2369796cosh(b x + a) - 101376cosh(b x + a) +--R + +--R 6 4 2 +--R 137592cosh(b x + a) + 3360cosh(b x + a) - 372cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 11 9 +--R 2660160cosh(b x + a) - 1570140cosh(b x + a) + 9504cosh(b x + a) +--R + +--R 7 5 3 +--R 167832cosh(b x + a) + 672cosh(b x + a) - 1308cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 12 +--R 904128cosh(b x + a) - 94080cosh(b x + a) - 775476cosh(b x + a) +--R + +--R 10 8 6 +--R 68640cosh(b x + a) + 142920cosh(b x + a) - 7728cosh(b x + a) +--R + +--R 4 2 +--R - 3060cosh(b x + a) + 48cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 13 +--R 229296cosh(b x + a) - 56640cosh(b x + a) - 277212cosh(b x + a) +--R + +--R 11 9 7 +--R 59136cosh(b x + a) + 83700cosh(b x + a) - 13440cosh(b x + a) +--R + +--R 5 3 +--R - 4500cosh(b x + a) + 384cosh(b x + a) + 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R 40848cosh(b x + a) - 17856cosh(b x + a) - 67860cosh(b x + a) +--R + +--R 12 10 8 +--R 26496cosh(b x + a) + 32220cosh(b x + a) - 10464cosh(b x + a) +--R + +--R 6 4 2 +--R - 3900cosh(b x + a) + 864cosh(b x + a) + 36cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 15 +--R 4560cosh(b x + a) - 3120cosh(b x + a) - 10188cosh(b x + a) +--R + +--R 13 11 9 +--R 6432cosh(b x + a) + 7356cosh(b x + a) - 4080cosh(b x + a) +--R + +--R 7 5 3 +--R - 1812cosh(b x + a) + 768cosh(b x + a) + 84cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R 240cosh(b x + a) - 240cosh(b x + a) - 708cosh(b x + a) +--R + +--R 14 12 10 +--R 672cosh(b x + a) + 756cosh(b x + a) - 648cosh(b x + a) +--R + +--R 8 6 4 +--R - 348cosh(b x + a) + 240cosh(b x + a) + 60cosh(b x + a) +--R + +--R 2 +--R - 24cosh(b x + a) +--R * +--R sinh(b x + a) +--R / +--R 2 20 +--R 240cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 2 19 +--R 4560cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 2 +--R (40848cosh(b x + a) + 480cosh(b x + a))coth(b x + a) +--R * +--R 18 +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (229296cosh(b x + a) + 7200cosh(b x + a) )coth(b x + a) +--R * +--R 17 +--R sinh(b x + a) +--R + +--R 5 3 +--R (904128cosh(b x + a) + 50304cosh(b x + a) + 12cosh(b x + a)) +--R * +--R 2 16 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 +--R 2660160cosh(b x + a) + 216960cosh(b x + a) +--R + +--R 2 +--R - 1308cosh(b x + a) +--R * +--R 2 15 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 +--R 6054720cosh(b x + a) + 645120cosh(b x + a) +--R + +--R 3 +--R - 18180cosh(b x + a) - 420cosh(b x + a) +--R * +--R 2 14 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 +--R 10905024cosh(b x + a) + 1397760cosh(b x + a) +--R + +--R 4 2 +--R - 111852cosh(b x + a) - 4644cosh(b x + a) +--R * +--R 2 13 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 +--R 15763488cosh(b x + a) + 2271360cosh(b x + a) +--R + +--R 5 3 +--R - 416676cosh(b x + a) - 23112cosh(b x + a) - 228cosh(b x + a) +--R * +--R 2 12 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 +--R 18436704cosh(b x + a) + 2800512cosh(b x + a) +--R + +--R 6 4 2 +--R - 1055340cosh(b x + a) - 67848cosh(b x + a) - 492cosh(b x + a) +--R * +--R 2 11 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 +--R 17503200cosh(b x + a) + 2608320cosh(b x + a) +--R + +--R 7 5 +--R - 1923636cosh(b x + a) - 128700cosh(b x + a) +--R + +--R 3 +--R 5844cosh(b x + a) - 132cosh(b x + a) +--R * +--R 2 10 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 +--R 13472160cosh(b x + a) + 1784640cosh(b x + a) +--R + +--R 8 6 +--R - 2599740cosh(b x + a) - 160380cosh(b x + a) +--R + +--R 4 2 +--R 37116cosh(b x + a) - 900cosh(b x + a) +--R * +--R 2 9 +--R coth(b x + a) sinh(b x + a) +--R + +--R 13 11 +--R 8359104cosh(b x + a) + 823680cosh(b x + a) +--R + +--R 9 7 +--R - 2640924cosh(b x + a) - 121968cosh(b x + a) +--R + +--R 5 3 +--R 102744cosh(b x + a) - 2832cosh(b x + a) - 60cosh(b x + a) +--R * +--R 2 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 14 12 +--R 4135488cosh(b x + a) + 174720cosh(b x + a) +--R + +--R 10 8 +--R - 2019732cosh(b x + a) - 33264cosh(b x + a) +--R + +--R 6 4 2 +--R 168840cosh(b x + a) - 5712cosh(b x + a) - 948cosh(b x + a) +--R * +--R 2 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 15 13 +--R 1602624cosh(b x + a) - 69888cosh(b x + a) +--R + +--R 11 9 +--R - 1151436cosh(b x + a) + 39204cosh(b x + a) +--R + +--R 7 5 3 +--R 178920cosh(b x + a) - 8568cosh(b x + a) - 3804cosh(b x + a) +--R + +--R 84cosh(b x + a) +--R * +--R 2 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 16 14 +--R 473280cosh(b x + a) - 80640cosh(b x + a) +--R + +--R 12 10 +--R - 477828cosh(b x + a) + 56100cosh(b x + a) +--R + +--R 8 6 4 +--R 124344cosh(b x + a) - 9912cosh(b x + a) - 6900cosh(b x + a) +--R + +--R 2 +--R 276cosh(b x + a) +--R * +--R 2 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 17 15 +--R 102000cosh(b x + a) - 36480cosh(b x + a) +--R + +--R 13 11 +--R - 138060cosh(b x + a) + 35640cosh(b x + a) +--R + +--R 9 7 5 +--R 55116cosh(b x + a) - 8400cosh(b x + a) - 6420cosh(b x + a) +--R + +--R 3 +--R 408cosh(b x + a) + 36cosh(b x + a) +--R * +--R 2 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 18 16 +--R 14928cosh(b x + a) - 9600cosh(b x + a) +--R + +--R 14 12 +--R - 25572cosh(b x + a) + 13176cosh(b x + a) +--R + +--R 10 8 6 +--R 14244cosh(b x + a) - 4752cosh(b x + a) - 2940cosh(b x + a) +--R + +--R 4 2 +--R 408cosh(b x + a) + 108cosh(b x + a) +--R * +--R 2 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 19 17 15 +--R 1296cosh(b x + a) - 1440cosh(b x + a) - 2556cosh(b x + a) +--R + +--R 13 11 9 +--R 2748cosh(b x + a) + 1668cosh(b x + a) - 1572cosh(b x + a) +--R + +--R 7 5 3 +--R - 468cosh(b x + a) + 276cosh(b x + a) + 60cosh(b x + a) +--R + +--R - 12cosh(b x + a) +--R * +--R 2 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 20 18 16 +--R 48cosh(b x + a) - 96cosh(b x + a) - 84cosh(b x + a) +--R + +--R 14 12 10 +--R 252cosh(b x + a) + 12cosh(b x + a) - 228cosh(b x + a) +--R + +--R 8 6 4 +--R 36cosh(b x + a) + 84cosh(b x + a) - 12cosh(b x + a) +--R + +--R 2 +--R - 12cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) sinh(b x + a) +--R * +--R +-------------+ +--R |cosh(b x + a) +--R |------------- +--R \|sinh(b x + a) +--R + +--R 2 20 +--R - 48cosh(b x + a)coth(b x + a) sinh(b x + a) +--R + +--R 2 2 19 +--R - 1296cosh(b x + a) coth(b x + a) sinh(b x + a) +--R + +--R 3 2 18 +--R (- 14928cosh(b x + a) - 144cosh(b x + a))coth(b x + a) sinh(b x + a) +--R + +--R 4 2 2 +--R (- 102000cosh(b x + a) - 2640cosh(b x + a) )coth(b x + a) +--R * +--R 17 +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 473280cosh(b x + a) - 22080cosh(b x + a) - 156cosh(b x + a)) +--R * +--R 2 16 +--R coth(b x + a) sinh(b x + a) +--R + +--R 6 4 2 +--R (- 1602624cosh(b x + a) - 112320cosh(b x + a) - 1044cosh(b x + a) ) +--R * +--R 2 15 +--R coth(b x + a) sinh(b x + a) +--R + +--R 7 5 3 +--R - 4135488cosh(b x + a) - 389760cosh(b x + a) + 1332cosh(b x + a) +--R + +--R - 96cosh(b x + a) +--R * +--R 2 14 +--R coth(b x + a) sinh(b x + a) +--R + +--R 8 6 +--R - 8359104cosh(b x + a) - 978432cosh(b x + a) +--R + +--R 4 2 +--R 41340cosh(b x + a) - 96cosh(b x + a) +--R * +--R 2 13 +--R coth(b x + a) sinh(b x + a) +--R + +--R 9 7 +--R - 13472160cosh(b x + a) - 1834560cosh(b x + a) +--R + +--R 5 3 +--R 225108cosh(b x + a) + 4608cosh(b x + a) - 36cosh(b x + a) +--R * +--R 2 12 +--R coth(b x + a) sinh(b x + a) +--R + +--R 10 8 +--R - 17503200cosh(b x + a) - 2608320cosh(b x + a) +--R + +--R 6 4 2 +--R 705276cosh(b x + a) + 29568cosh(b x + a) - 876cosh(b x + a) +--R * +--R 2 11 +--R coth(b x + a) sinh(b x + a) +--R + +--R 11 9 +--R - 18436704cosh(b x + a) - 2814240cosh(b x + a) +--R + +--R 7 5 3 +--R 1504932cosh(b x + a) + 89760cosh(b x + a) - 7020cosh(b x + a) +--R + +--R 48cosh(b x + a) +--R * +--R 2 10 +--R coth(b x + a) sinh(b x + a) +--R + +--R 12 10 +--R - 15763488cosh(b x + a) - 2265120cosh(b x + a) +--R + +--R 8 6 4 +--R 2332044cosh(b x + a) + 161568cosh(b x + a) - 29700cosh(b x + a) +--R + +--R 2 +--R - 120cosh(b x + a) +--R * +--R 2 9 +--R coth(b x + a) sinh(b x + a) +--R + +--R 13 11 +--R - 10905024cosh(b x + a) - 1290432cosh(b x + a) +--R + +--R 9 7 5 +--R 2702700cosh(b x + a) + 177408cosh(b x + a) - 78120cosh(b x + a) +--R + +--R 3 +--R - 1536cosh(b x + a) + 60cosh(b x + a) +--R * +--R 2 8 +--R coth(b x + a) sinh(b x + a) +--R + +--R 14 12 +--R - 6054720cosh(b x + a) - 436800cosh(b x + a) +--R + +--R 10 8 +--R 2369796cosh(b x + a) + 101376cosh(b x + a) +--R + +--R 6 4 2 +--R - 137592cosh(b x + a) - 3360cosh(b x + a) + 372cosh(b x + a) +--R * +--R 2 7 +--R coth(b x + a) sinh(b x + a) +--R + +--R 15 11 +--R - 2660160cosh(b x + a) + 1570140cosh(b x + a) +--R + +--R 9 7 5 +--R - 9504cosh(b x + a) - 167832cosh(b x + a) - 672cosh(b x + a) +--R + +--R 3 +--R 1308cosh(b x + a) +--R * +--R 2 6 +--R coth(b x + a) sinh(b x + a) +--R + +--R 16 14 +--R - 904128cosh(b x + a) + 94080cosh(b x + a) +--R + +--R 12 10 8 +--R 775476cosh(b x + a) - 68640cosh(b x + a) - 142920cosh(b x + a) +--R + +--R 6 4 2 +--R 7728cosh(b x + a) + 3060cosh(b x + a) - 48cosh(b x + a) +--R * +--R 2 5 +--R coth(b x + a) sinh(b x + a) +--R + +--R 17 15 +--R - 229296cosh(b x + a) + 56640cosh(b x + a) +--R + +--R 13 11 9 +--R 277212cosh(b x + a) - 59136cosh(b x + a) - 83700cosh(b x + a) +--R + +--R 7 5 3 +--R 13440cosh(b x + a) + 4500cosh(b x + a) - 384cosh(b x + a) +--R + +--R - 12cosh(b x + a) +--R * +--R 2 4 +--R coth(b x + a) sinh(b x + a) +--R + +--R 18 16 +--R - 40848cosh(b x + a) + 17856cosh(b x + a) +--R + +--R 14 12 10 +--R 67860cosh(b x + a) - 26496cosh(b x + a) - 32220cosh(b x + a) +--R + +--R 8 6 4 +--R 10464cosh(b x + a) + 3900cosh(b x + a) - 864cosh(b x + a) +--R + +--R 2 +--R - 36cosh(b x + a) +--R * +--R 2 3 +--R coth(b x + a) sinh(b x + a) +--R + +--R 19 17 15 +--R - 4560cosh(b x + a) + 3120cosh(b x + a) + 10188cosh(b x + a) +--R + +--R 13 11 9 +--R - 6432cosh(b x + a) - 7356cosh(b x + a) + 4080cosh(b x + a) +--R + +--R 7 5 3 +--R 1812cosh(b x + a) - 768cosh(b x + a) - 84cosh(b x + a) +--R * +--R 2 2 +--R coth(b x + a) sinh(b x + a) +--R + +--R 20 18 16 +--R - 240cosh(b x + a) + 240cosh(b x + a) + 708cosh(b x + a) +--R + +--R 14 12 10 +--R - 672cosh(b x + a) - 756cosh(b x + a) + 648cosh(b x + a) +--R + +--R 8 6 4 +--R 348cosh(b x + a) - 240cosh(b x + a) - 60cosh(b x + a) +--R + +--R 2 +--R 24cosh(b x + a) +--R * +--R 2 +--R coth(b x + a) sinh(b x + a) +--R * +--R +-------------+ +--R \|coth(b x + a) +--R Type: Expression Integer +--E 144 + +--S 145 of 508 +t0328:= coth(8*x)^(1/3) +--R +--R +--R 3+--------+ +--R (141) \|coth(8x) +--R Type: Expression Integer +--E 145 + +--S 146 of 508 +r0328:= -1/16*3^(1/2)*atan(1/3*(1+2*coth(8*x)^(2/3))*3^(1/2))-1/16*log(1-coth(8*x)^(2/3))+1/32*log(1+coth(8*x)^(2/3)+coth(8*x)^(4/3)) +--R +--R +--R (142) +--R 3+--------+2 3+--------+ 3+--------+2 +--R log(\|coth(8x) + coth(8x)\|coth(8x) + 1) - 2log(- \|coth(8x) + 1) +--R + +--R +-+3+--------+2 +-+ +--R +-+ 2\|3 \|coth(8x) + \|3 +--R - 2\|3 atan(------------------------) +--R 3 +--R / +--R 32 +--R Type: Expression Integer +--E 146 + +--S 147 of 508 +--a0328:= integrate(t0328,x) +--E 147 + +--S 148 of 508 +--m0328:= a0328-r0328 +--E 148 + +--S 149 of 508 +--d0328:= D(m0328,x) +--E 149 + +--S 150 of 508 +t0329:= x*coth(a+b*x) +--R +--R +--R (143) x coth(b x + a) +--R Type: Expression Integer +--E 150 + +--S 151 of 508 +r0329:= 1/2*(-b^2*x^2+2*x*log(1-exp(2*a+2*b*x))*b+polylog(2,exp(2*a+2*b*x)))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 151 + +--S 152 of 508 +a0329:= integrate(t0329,x) +--R +--R +--R x +--R ++ +--R (144) | %BC coth(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 152 + +--S 153 of 508 +--m0329:= a0329-r0329 +--E 153 + +--S 154 of 508 +--d0329:= D(m0329,x) +--E 154 + +--S 155 of 508 +t0330:= x*coth(a+b*x)^2 +--R +--R +--R 2 +--R (145) x coth(b x + a) +--R Type: Expression Integer +--E 155 + +--S 156 of 508 +r0330:= 1/2*x^2-x*coth(a+b*x)/b+log(sinh(a+b*x))/b^2 +--R +--R +--R 2 2 +--R 2log(sinh(b x + a)) - 2b x coth(b x + a) + b x +--R (146) ----------------------------------------------- +--R 2 +--R 2b +--R Type: Expression Integer +--E 156 + +--S 157 of 508 +a0330:= integrate(t0330,x) +--R +--R +--R (147) +--R 2 2 +--R (2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2) +--R * +--R 2sinh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 2 2 2 +--R (b x - 4b x)sinh(b x + a) + (2b x - 8b x)cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 2 2 2 +--R (b x - 4b x)cosh(b x + a) - b x +--R / +--R 2 2 2 2 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) - 2b +--R Type: Union(Expression Integer,...) +--E 157 + +--S 158 of 508 +m0330:= a0330-r0330 +--R +--R +--R (148) +--R 2 2 +--R (- sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) + 1) +--R * +--R log(sinh(b x + a)) +--R + +--R 2 2 +--R (sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) - 1) +--R * +--R 2sinh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 +--R (b x coth(b x + a) - 2b x)sinh(b x + a) +--R + +--R (2b x cosh(b x + a)coth(b x + a) - 4b x cosh(b x + a))sinh(b x + a) +--R + +--R 2 2 +--R (b x cosh(b x + a) - b x)coth(b x + a) - 2b x cosh(b x + a) +--R / +--R 2 2 2 2 2 2 +--R b sinh(b x + a) + 2b cosh(b x + a)sinh(b x + a) + b cosh(b x + a) - b +--R Type: Expression Integer +--E 158 + +--S 159 of 508 +d0330:= D(m0330,x) +--R +--R +--R (149) +--R 2 4 +--R (- b x coth(b x + a) + coth(b x + a) + b x - 1)sinh(b x + a) +--R + +--R 2 +--R - 4b x cosh(b x + a)coth(b x + a) + 4cosh(b x + a)coth(b x + a) +--R + +--R (4b x - 4)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 2 2 +--R (- 6b x cosh(b x + a) + 2b x)coth(b x + a) +--R + +--R 2 2 +--R (6cosh(b x + a) - 2)coth(b x + a) + (6b x - 6)cosh(b x + a) + 2b x +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 3 2 +--R (- 4b x cosh(b x + a) + 4b x cosh(b x + a))coth(b x + a) +--R + +--R 3 +--R (4cosh(b x + a) - 4cosh(b x + a))coth(b x + a) +--R + +--R 3 +--R (4b x - 4)cosh(b x + a) + 4b x cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- b x cosh(b x + a) + 2b x cosh(b x + a) - b x)coth(b x + a) +--R + +--R 4 2 +--R (cosh(b x + a) - 2cosh(b x + a) + 1)coth(b x + a) +--R + +--R 4 2 +--R (b x - 1)cosh(b x + a) + 2b x cosh(b x + a) + b x + 1 +--R / +--R 4 3 +--R b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (6b cosh(b x + a) - 2b)sinh(b x + a) +--R + +--R 3 4 +--R (4b cosh(b x + a) - 4b cosh(b x + a))sinh(b x + a) + b cosh(b x + a) +--R + +--R 2 +--R - 2b cosh(b x + a) + b +--R Type: Expression Integer +--E 159 + +--S 160 of 508 +t0331:= x*coth(a+b*x)^3 +--R +--R +--R 3 +--R (150) x coth(b x + a) +--R Type: Expression Integer +--E 160 + +--S 161 of 508 +r0331:= -1/2*x^2-1/2*coth(a+b*x)/b^2-1/2*x*csch(a+b*x)^2/b+x*log(1-exp(1)^(2*a+2*b*x))/b+1/2*polylog(2,exp(1)^(2*a+2*b*x))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 161 + +--S 162 of 508 +a0331:= integrate(t0331,x) +--R +--R +--R x +--R ++ 3 +--R (151) | %BC coth(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 162 + +--S 163 of 508 +--m0331:= a0331-r0331 +--E 163 + +--S 164 of 508 +--d0331:= D(m0331,x) +--E 164 + +--S 165 of 508 +t0332:= x^2*coth(a+b*x) +--R +--R +--R 2 +--R (152) x coth(b x + a) +--R Type: Expression Integer +--E 165 + +--S 166 of 508 +r0332:= 1/6*(-2*b^3*x^3+6*x^2*log(1-exp(2*a+2*b*x))*b^2+6*x*polylog(2,exp(2*a+2*b*x))*b-3*polylog(3,exp(2*a+2*b*x)))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 166 + +--S 167 of 508 +a0332:= integrate(t0332,x) +--R +--R +--R x +--R ++ 2 +--R (153) | %BC coth(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 167 + +--S 168 of 508 +--m0332:= a0332-r0332 +--E 168 + +--S 169 of 508 +--d0332:= D(m0332,x) +--E 169 + +--S 170 of 508 +t0333:= x^2*coth(a+b*x)^2 +--R +--R +--R 2 2 +--R (154) x coth(b x + a) +--R Type: Expression Integer +--E 170 + +--S 171 of 508 +r0333:= 1/3*(-3*b^2*x^2+b^3*x^3-3*x^2*coth(a+b*x)*b^2+6*x*log(1-exp(2*a+2*b*x))*b+3*polylog(2,exp(2*a+2*b*x)))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 171 + +--S 172 of 508 +a0333:= integrate(t0333,x) +--R +--R +--R x +--R ++ 2 2 +--R (155) | %BC coth(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 172 + +--S 173 of 508 +--m0333:= a0333-r0333 +--E 173 + +--S 174 of 508 +--d0333:= D(m0333,x) +--E 174 + +--S 175 of 508 +t0334:= x^2*coth(a+b*x)^3 +--R +--R +--R 2 3 +--R (156) x coth(b x + a) +--R Type: Expression Integer +--E 175 + +--S 176 of 508 +r0334:= -1/3*x^3-x*coth(a+b*x)/b^2-1/2*x^2*csch(a+b*x)^2/b+x^2*log(1-exp(1)^(2*a+2*b*x))/b+log(sinh(a+b*x))/b^3+x*polylog(2,exp(1)^(2*a+2*b*x))/b^2-1/2*polylog(3,exp(1)^(2*a+2*b*x))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 176 + +--S 177 of 508 +a0334:= integrate(t0334,x) +--R +--R +--R x +--R ++ 2 3 +--R (157) | %BC coth(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 177 + +--S 178 of 508 +--m0334:= a0334-r0334 +--E 178 + +--S 179 of 508 +--d0334:= D(m0334,x) +--E 179 + +--S 180 of 508 +t0335:= x^3*coth(a+b*x) +--R +--R +--R 3 +--R (158) x coth(b x + a) +--R Type: Expression Integer +--E 180 + +--S 181 of 508 +r0335:= 1/4*(-x^4*b^4+4*x^3*log(1-exp(2*a+2*b*x))*b^3+6*x^2*polylog(2,exp(2*a+2*b*x))*b^2-6*x*polylog(3,exp(2*a+2*b*x))*b+3*polylog(4,exp(2*a+2*b*x)))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 181 + +--S 182 of 508 +a0335:= integrate(t0335,x) +--R +--R +--R x +--R ++ 3 +--R (159) | %BC coth(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 182 + +--S 183 of 508 +--m0335:= a0335-r0335 +--E 183 + +--S 184 of 508 +--d0335:= D(m0335,x) +--E 184 + +--S 185 of 508 +t0336:= x^3*coth(a+b*x)^2 +--R +--R +--R 3 2 +--R (160) x coth(b x + a) +--R Type: Expression Integer +--E 185 + +--S 186 of 508 +r0336:= 1/4*(-4*b^3*x^3+x^4*b^4-4*x^3*coth(a+b*x)*b^3+12*x^2*log(1-exp(2*a+2*b*x))*b^2+12*x*polylog(2,exp(2*a+2*b*x))*b-6*polylog(3,exp(2*a+2*b*x)))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 186 + +--S 187 of 508 +a0336:= integrate(t0336,x) +--R +--R +--R x +--R ++ 3 2 +--R (161) | %BC coth(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 187 + +--S 188 of 508 +--m0336:= a0336-r0336 +--E 188 + +--S 189 of 508 +--d0336:= D(m0336,x) +--E 189 + +--S 190 of 508 +t0337:= x^3*coth(a+b*x)^3 +--R +--R +--R 3 3 +--R (162) x coth(b x + a) +--R Type: Expression Integer +--E 190 + +--S 191 of 508 +r0337:= -3/2*x^2/b^2-1/4*x^4-3/2*x^2*coth(a+b*x)/b^2-1/2*x^3*csch(a+b*x)^2/b+3*x*log(1-exp(1)^(2*a+2*b*x))/b^3+x^3*log(1-exp(1)^(2*a+2*b*x))/b+3/2*(1+b^2*x^2)*polylog(2,exp(1)^(2*a+2*b*x))/b^4-3/2*x*polylog(3,exp(1)^(2*a+2*b*x))/b^3+3/4*polylog(4,exp(1)^(2*a+2*b*x))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 191 + +--S 192 of 508 +a0337:= integrate(t0337,x) +--R +--R +--R x +--R ++ 3 3 +--R (163) | %BC coth(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 192 + +--S 193 of 508 +--m0337:= a0337-r0337 +--E 193 + +--S 194 of 508 +--d0337:= D(m0337,x) +--E 194 + +--S 195 of 508 +t0338:= (a*coth(x)^2)^(1/2) +--R +--R +--R +----------+ +--R | 2 +--R (164) \|a coth(x) +--R Type: Expression Integer +--E 195 + +--S 196 of 508 +r0338:= (a*coth(x)^2)^(1/2)*log(sinh(x))*tanh(x) +--R +--R +--R +----------+ +--R | 2 +--R (165) tanh(x)log(sinh(x))\|a coth(x) +--R Type: Expression Integer +--E 196 + +--S 197 of 508 +a0338:= integrate(t0338,x) +--R +--R +--R +-+ 2sinh(x) +-+ +--R (166) \|a log(- -----------------) - x\|a +--R sinh(x) - cosh(x) +--R Type: Union(Expression Integer,...) +--E 197 + +--S 198 of 508 +m0338:= a0338-r0338 +--R +--R +--R (167) +--R +----------+ +--R | 2 +-+ 2sinh(x) +-+ +--R - tanh(x)log(sinh(x))\|a coth(x) + \|a log(- -----------------) - x\|a +--R sinh(x) - cosh(x) +--R Type: Expression Integer +--E 198 + +--S 199 of 508 +d0338:= D(m0338,x) +--R +--R +--R (168) +--R +----------+ +--R +-+ | 2 +--R cosh(x)\|a \|a coth(x) +--R + +--R 2 2 3 +--R a coth(x) sinh(x)tanh(x) + (a coth(x) - a coth(x))sinh(x)tanh(x) +--R + +--R 2 +--R - a coth(x) sinh(x) +--R * +--R log(sinh(x)) +--R + +--R 2 +--R - a cosh(x)coth(x) tanh(x) +--R / +--R +----------+ +--R | 2 +--R sinh(x)\|a coth(x) +--R Type: Expression Integer +--E 199 + +--S 200 of 508 +t0339:= (a*coth(x)^3)^(1/2) +--R +--R +--R +----------+ +--R | 3 +--R (169) \|a coth(x) +--R Type: Expression Integer +--E 200 + +--S 201 of 508 +r0339:= (atan(coth(x)^(1/2))+atanh(coth(x)^(1/2))-2*coth(x)^(1/2))*(a*coth(x)^3)^(1/2)/coth(x)^(3/2) +--R +--R +--R (170) +--R +----------+ +----------+ +--R | 3 +-------+ | 3 +-------+ +--R \|a coth(x) atanh(\|coth(x) ) + \|a coth(x) atan(\|coth(x) ) +--R + +--R +----------+ +--R +-------+ | 3 +--R - 2\|coth(x) \|a coth(x) +--R / +--R +-------+ +--R coth(x)\|coth(x) +--R Type: Expression Integer +--E 201 + +--S 202 of 508 +a0339:= integrate(t0339,x) +--R +--R +--R (171) +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R - a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) + a +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)\|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R 2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R - 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) +--R / +--R +---------+ +--R 2 2 |a cosh(x) +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) - 2) |--------- +--R \| sinh(x) +--R + +--R 2 2 +---+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) - 2)\|- a +--R Type: Union(Expression Integer,...) +--E 202 + +--S 203 of 508 +m0339:= a0339-r0339 +--R +--R +--R (172) +--R 2 2 +--R (coth(x)sinh(x) + 2cosh(x)coth(x)sinh(x) + (cosh(x) - 1)coth(x)) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 +--R - a coth(x)sinh(x) - 2a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (- a cosh(x) + a)coth(x) +--R * +--R +-------+ +--R \|coth(x) +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R +---------+ +--R 2 2 |a cosh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2) |--------- +--R \| sinh(x) +--R + +--R 2 2 +---+ +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)\|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a coth(x) atanh(\|coth(x) ) +--R + +--R +---------+ +--R 2 2 |a cosh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2) |--------- +--R \| sinh(x) +--R + +--R 2 2 +---+ +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)\|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a coth(x) atan(\|coth(x) ) +--R + +--R 2 +--R - 2coth(x)sinh(x) - 4cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (- 2cosh(x) + 2)coth(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 +--R 2a coth(x)sinh(x) + 4a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (2a cosh(x) - 2a)coth(x) +--R * +--R +-------+ +--R \|coth(x) +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R +---------+ +--R 2 2 |a cosh(x) +--R (4sinh(x) + 8cosh(x)sinh(x) + 4cosh(x) - 4) |--------- +--R \| sinh(x) +--R + +--R 2 2 +---+ +--R (4sinh(x) + 8cosh(x)sinh(x) + 4cosh(x) - 4)\|- a +--R * +--R +----------+ +--R +-------+ | 3 +--R \|coth(x) \|a coth(x) +--R + +--R 2 2 +--R (- 8a coth(x)sinh(x) - 16a cosh(x)coth(x)sinh(x) - 8a cosh(x) coth(x)) +--R * +--R +-------+ +--R \|coth(x) +--R / +--R 2 2 +--R (2coth(x)sinh(x) + 4cosh(x)coth(x)sinh(x) + (2cosh(x) - 2)coth(x)) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R (2coth(x)sinh(x) + 4cosh(x)coth(x)sinh(x) + (2cosh(x) - 2)coth(x)) +--R * +--R +---+ +--R \|- a +--R * +--R +-------+ +--R \|coth(x) +--R Type: Expression Integer +--E 203 + +--S 204 of 508 +d0339:= D(m0339,x) +--R +--R +--R (173) +--R 14 13 +--R - a sinh(x) - 4a cosh(x)sinh(x) +--R + +--R 2 12 +--R (15a cosh(x) - 3a)sinh(x) +--R + +--R 3 11 +--R (144a cosh(x) - 18a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (451a cosh(x) - 20a cosh(x) - 2a)sinh(x) +--R + +--R 5 3 9 +--R (748a cosh(x) + 130a cosh(x) - 8a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (627a cosh(x) + 585a cosh(x) + 18a cosh(x) + 2a)sinh(x) +--R + +--R 5 3 7 +--R (1164a cosh(x) + 192a cosh(x) - 4a cosh(x))sinh(x) +--R + +--R 8 6 4 +--R - 627a cosh(x) + 1344a cosh(x) + 588a cosh(x) +--R + +--R 2 +--R - 76a cosh(x) + 3a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 748a cosh(x) + 900a cosh(x) + 1008a cosh(x) +--R + +--R 3 +--R - 260a cosh(x) - 36a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 451a cosh(x) + 255a cosh(x) + 1092a cosh(x) +--R + +--R 4 2 +--R - 440a cosh(x) - 121a cosh(x) + a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 144a cosh(x) - 90a cosh(x) + 768a cosh(x) +--R + +--R 5 3 +--R - 428a cosh(x) - 112a cosh(x) - 26a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 15a cosh(x) - 108a cosh(x) + 342a cosh(x) +--R + +--R 6 4 2 +--R - 244a cosh(x) - 15a cosh(x) + 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 4a cosh(x) - 38a cosh(x) + 88a cosh(x) - 76a cosh(x) +--R + +--R 5 3 +--R 20a cosh(x) + 2a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R a cosh(x) - 5a cosh(x) + 10a cosh(x) - 10a cosh(x) +--R + +--R 6 4 +--R 5a cosh(x) - a cosh(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 13 2 12 +--R - 4a cosh(x)sinh(x) - 36a cosh(x) sinh(x) +--R + +--R 3 11 +--R (- 136a cosh(x) - 8a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 264a cosh(x) - 68a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 220a cosh(x) - 240a cosh(x) - 8a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (132a cosh(x) - 420a cosh(x) - 72a cosh(x) )sinh(x) +--R + +--R 7 5 3 +--R (528a cosh(x) - 240a cosh(x) - 288a cosh(x) - 16a cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (528a cosh(x) + 504a cosh(x) - 672a cosh(x) - 104a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 132a cosh(x) + 1344a cosh(x) - 1008a cosh(x) +--R + +--R 3 +--R - 288a cosh(x) - 20a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 220a cosh(x) + 1560a cosh(x) - 1008a cosh(x) +--R + +--R 4 2 +--R - 440a cosh(x) - 20a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 264a cosh(x) + 1080a cosh(x) - 672a cosh(x) +--R + +--R 5 3 +--R - 400a cosh(x) + 72a cosh(x) - 8a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 136a cosh(x) + 460a cosh(x) - 288a cosh(x) +--R + +--R 6 4 2 +--R - 216a cosh(x) + 136a cosh(x) + 44a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 36a cosh(x) + 112a cosh(x) - 72a cosh(x) +--R + +--R 7 5 3 +--R - 64a cosh(x) + 76a cosh(x) - 16a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 4a cosh(x) + 12a cosh(x) - 8a cosh(x) - 8a cosh(x) +--R + +--R 6 4 +--R 12a cosh(x) - 4a cosh(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R + +--R 3 13 2 3 12 +--R - 4a cosh(x)coth(x) sinh(x) - 32a cosh(x) coth(x) sinh(x) +--R + +--R 3 3 11 +--R (- 104a cosh(x) + 20a cosh(x))coth(x) sinh(x) +--R + +--R 4 2 3 10 +--R (- 160a cosh(x) + 104a cosh(x) )coth(x) sinh(x) +--R + +--R 5 3 3 9 +--R (- 60a cosh(x) + 132a cosh(x) - 40a cosh(x))coth(x) sinh(x) +--R + +--R 6 4 2 3 8 +--R (192a cosh(x) - 288a cosh(x) - 80a cosh(x) )coth(x) sinh(x) +--R + +--R 7 5 3 +--R (336a cosh(x) - 1176a cosh(x) + 320a cosh(x) + 56a cosh(x)) +--R * +--R 3 7 +--R coth(x) sinh(x) +--R + +--R 8 6 4 3 6 +--R (192a cosh(x) - 1680a cosh(x) + 1360a cosh(x) )coth(x) sinh(x) +--R + +--R 9 7 5 3 +--R - 60a cosh(x) - 1176a cosh(x) + 2000a cosh(x) - 520a cosh(x) +--R + +--R - 52a cosh(x) +--R * +--R 3 5 +--R coth(x) sinh(x) +--R + +--R 10 8 6 4 +--R - 160a cosh(x) - 288a cosh(x) + 1360a cosh(x) - 960a cosh(x) +--R + +--R 2 +--R 48a cosh(x) +--R * +--R 3 4 +--R coth(x) sinh(x) +--R + +--R 11 9 7 5 +--R - 104a cosh(x) + 132a cosh(x) + 320a cosh(x) - 600a cosh(x) +--R + +--R 3 +--R 232a cosh(x) + 20a cosh(x) +--R * +--R 3 3 +--R coth(x) sinh(x) +--R + +--R 12 10 8 6 +--R - 32a cosh(x) + 104a cosh(x) - 80a cosh(x) - 64a cosh(x) +--R + +--R 4 2 +--R 112a cosh(x) - 40a cosh(x) +--R * +--R 3 2 +--R coth(x) sinh(x) +--R + +--R 13 11 9 7 +--R - 4a cosh(x) + 20a cosh(x) - 40a cosh(x) + 40a cosh(x) +--R + +--R 5 3 +--R - 20a cosh(x) + 4a cosh(x) +--R * +--R 3 +--R coth(x) sinh(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 3 12 +--R - 8a cosh(x) coth(x) sinh(x) +--R + +--R 2 3 2 3 11 +--R (- 72a cosh(x) - 4a cosh(x))coth(x) sinh(x) +--R + +--R 2 4 2 2 3 10 +--R (- 280a cosh(x) + 8a cosh(x) )coth(x) sinh(x) +--R + +--R 2 5 2 3 2 3 9 +--R (- 600a cosh(x) + 156a cosh(x) + 8a cosh(x))coth(x) sinh(x) +--R + +--R 2 6 2 4 2 2 3 8 +--R (- 720a cosh(x) + 480a cosh(x) - 56a cosh(x) )coth(x) sinh(x) +--R + +--R 2 7 2 5 2 3 2 3 +--R (- 336a cosh(x) + 504a cosh(x) - 376a cosh(x) - 8a cosh(x))coth(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 8 2 6 2 4 2 2 3 +--R (336a cosh(x) - 336a cosh(x) - 632a cosh(x) + 128a cosh(x) )coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 7 2 5 2 3 +--R 720a cosh(x) - 1512a cosh(x) - 40a cosh(x) + 440a cosh(x) +--R + +--R 2 +--R 8a cosh(x) +--R * +--R 3 5 +--R coth(x) sinh(x) +--R + +--R 2 10 2 8 2 6 2 4 +--R 600a cosh(x) - 1824a cosh(x) + 1048a cosh(x) + 320a cosh(x) +--R + +--R 2 2 +--R - 112a cosh(x) +--R * +--R 3 4 +--R coth(x) sinh(x) +--R + +--R 2 11 2 9 2 7 2 5 +--R 280a cosh(x) - 1140a cosh(x) + 1304a cosh(x) - 280a cosh(x) +--R + +--R 2 3 2 +--R - 160a cosh(x) - 4a cosh(x) +--R * +--R 3 3 +--R coth(x) sinh(x) +--R + +--R 2 12 2 10 2 8 2 6 +--R 72a cosh(x) - 376a cosh(x) + 664a cosh(x) - 448a cosh(x) +--R + +--R 2 4 2 2 +--R 48a cosh(x) + 40a cosh(x) +--R * +--R 3 2 +--R coth(x) sinh(x) +--R + +--R 2 13 2 11 2 9 2 7 +--R 8a cosh(x) - 52a cosh(x) + 128a cosh(x) - 152a cosh(x) +--R + +--R 2 5 2 3 +--R 88a cosh(x) - 20a cosh(x) +--R * +--R 3 +--R coth(x) sinh(x) +--R / +--R 13 2 12 +--R 4cosh(x)sinh(x) + 32cosh(x) sinh(x) +--R + +--R 3 11 +--R (104cosh(x) - 20cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (160cosh(x) - 104cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (60cosh(x) - 132cosh(x) + 40cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 192cosh(x) + 288cosh(x) + 80cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 336cosh(x) + 1176cosh(x) - 320cosh(x) - 56cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (- 192cosh(x) + 1680cosh(x) - 1360cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R 60cosh(x) + 1176cosh(x) - 2000cosh(x) + 520cosh(x) +--R + +--R 52cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 160cosh(x) + 288cosh(x) - 1360cosh(x) + 960cosh(x) +--R + +--R 2 +--R - 48cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 104cosh(x) - 132cosh(x) - 320cosh(x) + 600cosh(x) +--R + +--R 3 +--R - 232cosh(x) - 20cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 32cosh(x) - 104cosh(x) + 80cosh(x) + 64cosh(x) +--R + +--R 4 2 +--R - 112cosh(x) + 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 4cosh(x) - 20cosh(x) + 40cosh(x) - 40cosh(x) + 20cosh(x) +--R + +--R 3 +--R - 4cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 12 3 11 +--R 8a cosh(x) sinh(x) + (72a cosh(x) + 4a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (280a cosh(x) - 8a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (600a cosh(x) - 156a cosh(x) - 8a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (720a cosh(x) - 480a cosh(x) + 56a cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (336a cosh(x) - 504a cosh(x) + 376a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 336a cosh(x) + 336a cosh(x) + 632a cosh(x) - 128a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 720a cosh(x) + 1512a cosh(x) + 40a cosh(x) - 440a cosh(x) +--R + +--R - 8a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 600a cosh(x) + 1824a cosh(x) - 1048a cosh(x) - 320a cosh(x) +--R + +--R 2 +--R 112a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 280a cosh(x) + 1140a cosh(x) - 1304a cosh(x) + 280a cosh(x) +--R + +--R 3 +--R 160a cosh(x) + 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 72a cosh(x) + 376a cosh(x) - 664a cosh(x) + 448a cosh(x) +--R + +--R 4 2 +--R - 48a cosh(x) - 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 8a cosh(x) + 52a cosh(x) - 128a cosh(x) + 152a cosh(x) +--R + +--R 5 3 +--R - 88a cosh(x) + 20a cosh(x) +--R * +--R sinh(x) +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R Type: Expression Integer +--E 204 + +--S 205 of 508 +t0340:= (a*coth(x)^4)^(1/2) +--R +--R +--R +----------+ +--R | 4 +--R (174) \|a coth(x) +--R Type: Expression Integer +--E 205 + +--S 206 of 508 +r0340:= (x-coth(x))*(a*coth(x)^4)^(1/2)*tanh(x)^2 +--R +--R +--R +----------+ +--R 2 | 4 +--R (175) (- coth(x) + x)tanh(x) \|a coth(x) +--R Type: Expression Integer +--E 206 + +--S 207 of 508 +a0340:= integrate(t0340,x) +--R +--R +--R 2 2 +-+ +--R (x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) - x - 2)\|a +--R (176) --------------------------------------------------------- +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R Type: Union(Expression Integer,...) +--E 207 + +--S 208 of 508 +m0340:= a0340-r0340 +--R +--R +--R (177) +--R 2 +--R (coth(x) - x)sinh(x) + (2cosh(x)coth(x) - 2x cosh(x))sinh(x) +--R + +--R 2 2 +--R (cosh(x) - 1)coth(x) - x cosh(x) + x +--R * +--R +----------+ +--R 2 | 4 +--R tanh(x) \|a coth(x) +--R + +--R 2 2 +-+ +--R (x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) - x - 2)\|a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R Type: Expression Integer +--E 208 + +--S 209 of 508 +d0340:= D(m0340,x) +--R +--R +--R (178) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 4cosh(x))sinh(x) + cosh(x) + 2cosh(x) + 1 +--R * +--R +----------+ +--R +-+ | 4 +--R \|a \|a coth(x) +--R + +--R 5 4 4 +--R (- 2a coth(x) + 2a x coth(x) )sinh(x) +--R + +--R 5 4 3 +--R (- 8a cosh(x)coth(x) + 8a x cosh(x)coth(x) )sinh(x) +--R + +--R 2 5 2 4 +--R ((- 12a cosh(x) + 4a)coth(x) + (12a x cosh(x) - 4a x)coth(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 +--R (- 8a cosh(x) + 8a cosh(x))coth(x) +--R + +--R 3 4 +--R (8a x cosh(x) - 8a x cosh(x))coth(x) +--R * +--R sinh(x) +--R + +--R 4 2 5 +--R (- 2a cosh(x) + 4a cosh(x) - 2a)coth(x) +--R + +--R 4 2 4 +--R (2a x cosh(x) - 4a x cosh(x) + 2a x)coth(x) +--R * +--R 3 +--R tanh(x) +--R + +--R 6 5 4 3 4 +--R (- 3a coth(x) + 2a x coth(x) + 2a coth(x) - 2a x coth(x) )sinh(x) +--R + +--R 6 5 4 +--R - 12a cosh(x)coth(x) + 8a x cosh(x)coth(x) + 8a cosh(x)coth(x) +--R + +--R 3 +--R - 8a x cosh(x)coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 5 +--R (- 18a cosh(x) + 6a)coth(x) + (12a x cosh(x) - 4a x)coth(x) +--R + +--R 2 4 2 3 +--R (12a cosh(x) - 4a)coth(x) + (- 12a x cosh(x) + 4a x)coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 +--R (- 12a cosh(x) + 12a cosh(x))coth(x) +--R + +--R 3 5 +--R (8a x cosh(x) - 8a x cosh(x))coth(x) +--R + +--R 3 4 +--R (8a cosh(x) - 8a cosh(x))coth(x) +--R + +--R 3 3 +--R (- 8a x cosh(x) + 8a x cosh(x))coth(x) +--R * +--R sinh(x) +--R + +--R 4 2 6 +--R (- 3a cosh(x) + 6a cosh(x) - 3a)coth(x) +--R + +--R 4 2 5 +--R (2a x cosh(x) - 4a x cosh(x) + 2a x)coth(x) +--R + +--R 4 2 4 +--R (2a cosh(x) - 4a cosh(x) + 2a)coth(x) +--R + +--R 4 2 3 +--R (- 2a x cosh(x) + 4a x cosh(x) - 2a x)coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 5 4 4 +--R (2a coth(x) - 2a x coth(x) )sinh(x) +--R + +--R 5 4 3 +--R (8a cosh(x)coth(x) - 8a x cosh(x)coth(x) )sinh(x) +--R + +--R 2 5 2 4 +--R ((12a cosh(x) - 4a)coth(x) + (- 12a x cosh(x) + 4a x)coth(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 +--R (8a cosh(x) - 8a cosh(x))coth(x) +--R + +--R 3 4 +--R (- 8a x cosh(x) + 8a x cosh(x))coth(x) +--R * +--R sinh(x) +--R + +--R 4 2 5 +--R (2a cosh(x) - 4a cosh(x) + 2a)coth(x) +--R + +--R 4 2 4 +--R (- 2a x cosh(x) + 4a x cosh(x) - 2a x)coth(x) +--R * +--R tanh(x) +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 4cosh(x))sinh(x) + cosh(x) - 2cosh(x) + 1 +--R * +--R +----------+ +--R | 4 +--R \|a coth(x) +--R Type: Expression Integer +--E 209 + +--S 210 of 508 +t0341:= (a*coth(x)^3)^(3/2) +--R +--R +--R +----------+ +--R 3 | 3 +--R (179) a coth(x) \|a coth(x) +--R Type: Expression Integer +--E 210 + +--S 211 of 508 +r0341:= -1/21*a*(a*coth(x)^3)^(1/2)*(21*atan(coth(x)^(1/2))-21*atanh(coth(x)^(1/2))+14*coth(x)^(3/2)+6*coth(x)^(7/2))/coth(x)^(3/2) +--R +--R +--R (180) +--R +----------+ +----------+ +--R | 3 +-------+ | 3 +-------+ +--R 21a\|a coth(x) atanh(\|coth(x) ) - 21a\|a coth(x) atan(\|coth(x) ) +--R + +--R +----------+ +--R 3 +-------+ | 3 +--R (- 6a coth(x) - 14a coth(x))\|coth(x) \|a coth(x) +--R / +--R +-------+ +--R 21coth(x)\|coth(x) +--R Type: Expression Integer +--E 211 + +--S 212 of 508 +a0341:= integrate(t0341,x) +--R +--R +--R (181) +--R 14 13 +--R - 21a sinh(x) - 294a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 1911a cosh(x) + 168a)sinh(x) +--R + +--R 3 11 +--R (- 7644a cosh(x) + 2016a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 21021a cosh(x) + 11088a cosh(x) - 378a)sinh(x) +--R + +--R 5 3 9 +--R (- 42042a cosh(x) + 36960a cosh(x) - 3780a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- 63063a cosh(x) + 83160a cosh(x) - 17010a cosh(x) + 84a) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R - 72072a cosh(x) + 133056a cosh(x) - 45360a cosh(x) +--R + +--R 672a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R - 63063a cosh(x) + 155232a cosh(x) - 79380a cosh(x) +--R + +--R 2 +--R 2352a cosh(x) + 819a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 42042a cosh(x) + 133056a cosh(x) - 95256a cosh(x) +--R + +--R 3 +--R 4704a cosh(x) + 4914a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 21021a cosh(x) + 83160a cosh(x) - 79380a cosh(x) +--R + +--R 4 2 +--R 5880a cosh(x) + 12285a cosh(x) - 1260a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 7644a cosh(x) + 36960a cosh(x) - 45360a cosh(x) +--R + +--R 5 3 +--R 4704a cosh(x) + 16380a cosh(x) - 5040a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 1911a cosh(x) + 11088a cosh(x) - 17010a cosh(x) +--R + +--R 6 4 2 +--R 2352a cosh(x) + 12285a cosh(x) - 7560a cosh(x) + 756a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 294a cosh(x) + 2016a cosh(x) - 3780a cosh(x) +--R + +--R 7 5 3 +--R 672a cosh(x) + 4914a cosh(x) - 5040a cosh(x) + 1512a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 21a cosh(x) + 168a cosh(x) - 378a cosh(x) + 84a cosh(x) +--R + +--R 6 4 2 +--R 819a cosh(x) - 1260a cosh(x) + 756a cosh(x) - 168a +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 14 2 13 2 2 12 +--R - 21a sinh(x) - 294a cosh(x)sinh(x) - 1911a cosh(x) sinh(x) +--R + +--R 2 3 11 2 4 2 10 +--R - 7644a cosh(x) sinh(x) + (- 21021a cosh(x) + 294a )sinh(x) +--R + +--R 2 5 2 9 +--R (- 42042a cosh(x) + 2940a cosh(x))sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (- 63063a cosh(x) + 13230a cosh(x) - 588a )sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (- 72072a cosh(x) + 35280a cosh(x) - 4704a cosh(x))sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (- 63063a cosh(x) + 61740a cosh(x) - 16464a cosh(x) + 147a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 5 2 3 +--R - 42042a cosh(x) + 74088a cosh(x) - 32928a cosh(x) +--R + +--R 2 +--R 882a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 6 2 4 +--R - 21021a cosh(x) + 61740a cosh(x) - 41160a cosh(x) +--R + +--R 2 2 2 +--R 2205a cosh(x) + 588a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 7 2 5 +--R - 7644a cosh(x) + 35280a cosh(x) - 32928a cosh(x) +--R + +--R 2 3 2 +--R 2940a cosh(x) + 2352a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 8 2 6 +--R - 1911a cosh(x) + 13230a cosh(x) - 16464a cosh(x) +--R + +--R 2 4 2 2 2 +--R 2205a cosh(x) + 3528a cosh(x) - 588a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 9 2 7 +--R - 294a cosh(x) + 2940a cosh(x) - 4704a cosh(x) +--R + +--R 2 5 2 3 2 +--R 882a cosh(x) + 2352a cosh(x) - 1176a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R - 21a cosh(x) + 294a cosh(x) - 588a cosh(x) + 147a cosh(x) +--R + +--R 2 4 2 2 2 +--R 588a cosh(x) - 588a cosh(x) + 168a +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R 14 13 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 3822a cosh(x) + 336a)sinh(x) +--R + +--R 3 11 +--R (- 15288a cosh(x) + 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 42042a cosh(x) + 22176a cosh(x) - 756a)sinh(x) +--R + +--R 5 3 9 +--R (- 84084a cosh(x) + 73920a cosh(x) - 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 126126a cosh(x) + 166320a cosh(x) - 34020a cosh(x) +--R + +--R 168a +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R - 144144a cosh(x) + 266112a cosh(x) - 90720a cosh(x) +--R + +--R 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R - 126126a cosh(x) + 310464a cosh(x) - 158760a cosh(x) +--R + +--R 2 +--R 4704a cosh(x) + 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 84084a cosh(x) + 266112a cosh(x) - 190512a cosh(x) +--R + +--R 3 +--R 9408a cosh(x) + 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 42042a cosh(x) + 166320a cosh(x) - 158760a cosh(x) +--R + +--R 4 2 +--R 11760a cosh(x) + 24570a cosh(x) - 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 15288a cosh(x) + 73920a cosh(x) - 90720a cosh(x) +--R + +--R 5 3 +--R 9408a cosh(x) + 32760a cosh(x) - 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 3822a cosh(x) + 22176a cosh(x) - 34020a cosh(x) +--R + +--R 6 4 2 +--R 4704a cosh(x) + 24570a cosh(x) - 15120a cosh(x) + 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 588a cosh(x) + 4032a cosh(x) - 7560a cosh(x) +--R + +--R 7 5 3 +--R 1344a cosh(x) + 9828a cosh(x) - 10080a cosh(x) +--R + +--R 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 42a cosh(x) + 336a cosh(x) - 756a cosh(x) + 168a cosh(x) +--R + +--R 6 4 2 +--R 1638a cosh(x) - 2520a cosh(x) + 1512a cosh(x) - 336a +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 14 2 13 2 2 12 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) - 3822a cosh(x) sinh(x) +--R + +--R 2 3 11 2 4 2 10 +--R - 15288a cosh(x) sinh(x) + (- 42042a cosh(x) + 588a )sinh(x) +--R + +--R 2 5 2 9 +--R (- 84084a cosh(x) + 5880a cosh(x))sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (- 126126a cosh(x) + 26460a cosh(x) - 1176a )sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (- 144144a cosh(x) + 70560a cosh(x) - 9408a cosh(x))sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (- 126126a cosh(x) + 123480a cosh(x) - 32928a cosh(x) + 294a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 5 2 3 +--R - 84084a cosh(x) + 148176a cosh(x) - 65856a cosh(x) +--R + +--R 2 +--R 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 6 2 4 +--R - 42042a cosh(x) + 123480a cosh(x) - 82320a cosh(x) +--R + +--R 2 2 2 +--R 4410a cosh(x) + 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 7 2 5 +--R - 15288a cosh(x) + 70560a cosh(x) - 65856a cosh(x) +--R + +--R 2 3 2 +--R 5880a cosh(x) + 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 8 2 6 +--R - 3822a cosh(x) + 26460a cosh(x) - 32928a cosh(x) +--R + +--R 2 4 2 2 2 +--R 4410a cosh(x) + 7056a cosh(x) - 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 9 2 7 +--R - 588a cosh(x) + 5880a cosh(x) - 9408a cosh(x) +--R + +--R 2 5 2 3 2 +--R 1764a cosh(x) + 4704a cosh(x) - 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R - 42a cosh(x) + 588a cosh(x) - 1176a cosh(x) + 294a cosh(x) +--R + +--R 2 4 2 2 2 +--R 1176a cosh(x) - 1176a cosh(x) + 336a +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 12 11 +--R 448a sinh(x) + 5376a cosh(x)sinh(x) +--R + +--R 2 10 +--R (29568a cosh(x) - 1008a)sinh(x) +--R + +--R 3 9 +--R (98560a cosh(x) - 10080a cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (221760a cosh(x) - 45360a cosh(x) )sinh(x) +--R + +--R 5 3 7 +--R (354816a cosh(x) - 120960a cosh(x) )sinh(x) +--R + +--R 6 4 6 +--R (413952a cosh(x) - 211680a cosh(x) + 1904a)sinh(x) +--R + +--R 7 5 5 +--R (354816a cosh(x) - 254016a cosh(x) + 11424a cosh(x))sinh(x) +--R + +--R 8 6 2 +--R (221760a cosh(x) - 211680a cosh(x) + 28560a cosh(x) - 2688a) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 3 +--R 98560a cosh(x) - 120960a cosh(x) + 38080a cosh(x) +--R + +--R - 10752a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 4 +--R 29568a cosh(x) - 45360a cosh(x) + 28560a cosh(x) +--R + +--R 2 +--R - 16128a cosh(x) + 1344a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 5 +--R 5376a cosh(x) - 10080a cosh(x) + 11424a cosh(x) +--R + +--R 3 +--R - 10752a cosh(x) + 2688a cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 6 4 +--R 448a cosh(x) - 1008a cosh(x) + 1904a cosh(x) - 2688a cosh(x) +--R + +--R 2 +--R 1344a cosh(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 14 2 13 +--R - 80a sinh(x) - 1120a cosh(x)sinh(x) +--R + +--R 2 2 2 12 +--R (- 7280a cosh(x) + 112a )sinh(x) +--R + +--R 2 3 2 11 +--R (- 29120a cosh(x) + 1344a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 10 +--R (- 80080a cosh(x) + 7392a cosh(x) + 896a )sinh(x) +--R + +--R 2 5 2 3 2 9 +--R (- 160160a cosh(x) + 24640a cosh(x) + 8960a cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 2 8 +--R (- 240240a cosh(x) + 55440a cosh(x) + 40320a cosh(x) - 1232a )sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 274560a cosh(x) + 88704a cosh(x) + 107520a cosh(x) +--R + +--R 2 +--R - 9856a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - 240240a cosh(x) + 103488a cosh(x) + 188160a cosh(x) +--R + +--R 2 2 2 +--R - 34496a cosh(x) + 112a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 7 2 5 +--R - 160160a cosh(x) + 88704a cosh(x) + 225792a cosh(x) +--R + +--R 2 3 2 +--R - 68992a cosh(x) + 672a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 8 2 6 +--R - 80080a cosh(x) + 55440a cosh(x) + 188160a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 86240a cosh(x) + 1680a cosh(x) + 1344a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 9 2 7 +--R - 29120a cosh(x) + 24640a cosh(x) + 107520a cosh(x) +--R + +--R 2 5 2 3 2 +--R - 68992a cosh(x) + 2240a cosh(x) + 5376a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 10 2 8 +--R - 7280a cosh(x) + 7392a cosh(x) + 40320a cosh(x) +--R + +--R 2 6 2 4 2 2 2 +--R - 34496a cosh(x) + 1680a cosh(x) + 8064a cosh(x) - 1344a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 11 2 9 2 7 +--R - 1120a cosh(x) + 1344a cosh(x) + 8960a cosh(x) - 9856a cosh(x) +--R + +--R 2 5 2 3 2 +--R 672a cosh(x) + 5376a cosh(x) - 2688a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 12 2 10 2 8 +--R - 80a cosh(x) + 112a cosh(x) + 896a cosh(x) - 1232a cosh(x) +--R + +--R 2 6 2 4 2 2 +--R 112a cosh(x) + 1344a cosh(x) - 1344a cosh(x) +--R / +--R 14 13 2 12 +--R 42sinh(x) + 588cosh(x)sinh(x) + (3822cosh(x) - 336)sinh(x) +--R + +--R 3 11 +--R (15288cosh(x) - 4032cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (42042cosh(x) - 22176cosh(x) + 756)sinh(x) +--R + +--R 5 3 9 +--R (84084cosh(x) - 73920cosh(x) + 7560cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (126126cosh(x) - 166320cosh(x) + 34020cosh(x) - 168)sinh(x) +--R + +--R 7 5 3 +--R (144144cosh(x) - 266112cosh(x) + 90720cosh(x) - 1344cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 126126cosh(x) - 310464cosh(x) + 158760cosh(x) - 4704cosh(x) +--R + +--R - 1638 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 84084cosh(x) - 266112cosh(x) + 190512cosh(x) - 9408cosh(x) +--R + +--R - 9828cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 42042cosh(x) - 166320cosh(x) + 158760cosh(x) - 11760cosh(x) +--R + +--R 2 +--R - 24570cosh(x) + 2520 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 15288cosh(x) - 73920cosh(x) + 90720cosh(x) - 9408cosh(x) +--R + +--R 3 +--R - 32760cosh(x) + 10080cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 3822cosh(x) - 22176cosh(x) + 34020cosh(x) - 4704cosh(x) +--R + +--R 4 2 +--R - 24570cosh(x) + 15120cosh(x) - 1512 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 588cosh(x) - 4032cosh(x) + 7560cosh(x) - 1344cosh(x) +--R + +--R 5 3 +--R - 9828cosh(x) + 10080cosh(x) - 3024cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 42cosh(x) - 336cosh(x) + 756cosh(x) - 168cosh(x) +--R + +--R 6 4 2 +--R - 1638cosh(x) + 2520cosh(x) - 1512cosh(x) + 336 +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 14 13 2 12 +--R - 42sinh(x) - 588cosh(x)sinh(x) - 3822cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R - 15288cosh(x) sinh(x) + (- 42042cosh(x) + 588)sinh(x) +--R + +--R 5 9 +--R (- 84084cosh(x) + 5880cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (- 126126cosh(x) + 26460cosh(x) - 1176)sinh(x) +--R + +--R 7 3 7 +--R (- 144144cosh(x) + 70560cosh(x) - 9408cosh(x))sinh(x) +--R + +--R 8 4 2 6 +--R (- 126126cosh(x) + 123480cosh(x) - 32928cosh(x) + 294)sinh(x) +--R + +--R 9 5 3 +--R (- 84084cosh(x) + 148176cosh(x) - 65856cosh(x) + 1764cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 2 +--R - 42042cosh(x) + 123480cosh(x) - 82320cosh(x) + 4410cosh(x) +--R + +--R 1176 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 3 +--R - 15288cosh(x) + 70560cosh(x) - 65856cosh(x) + 5880cosh(x) +--R + +--R 4704cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 4 +--R - 3822cosh(x) + 26460cosh(x) - 32928cosh(x) + 4410cosh(x) +--R + +--R 2 +--R 7056cosh(x) - 1176 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 5 +--R - 588cosh(x) + 5880cosh(x) - 9408cosh(x) + 1764cosh(x) +--R + +--R 3 +--R 4704cosh(x) - 2352cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R - 42cosh(x) + 588cosh(x) - 1176cosh(x) + 294cosh(x) +--R + +--R 4 2 +--R 1176cosh(x) - 1176cosh(x) + 336 +--R * +--R +---+ +--R \|- a +--R Type: Union(Expression Integer,...) +--E 212 + +--S 213 of 508 +m0341:= a0341-r0341 +--R +--R +--R (182) +--R 14 13 +--R - 21a coth(x)sinh(x) - 294a cosh(x)coth(x)sinh(x) +--R + +--R 2 12 +--R (- 1911a cosh(x) + 168a)coth(x)sinh(x) +--R + +--R 3 11 +--R (- 7644a cosh(x) + 2016a cosh(x))coth(x)sinh(x) +--R + +--R 4 2 10 +--R (- 21021a cosh(x) + 11088a cosh(x) - 378a)coth(x)sinh(x) +--R + +--R 5 3 +--R (- 42042a cosh(x) + 36960a cosh(x) - 3780a cosh(x))coth(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 4 2 +--R (- 63063a cosh(x) + 83160a cosh(x) - 17010a cosh(x) + 84a) +--R * +--R 8 +--R coth(x)sinh(x) +--R + +--R 7 5 3 +--R - 72072a cosh(x) + 133056a cosh(x) - 45360a cosh(x) +--R + +--R 672a cosh(x) +--R * +--R 7 +--R coth(x)sinh(x) +--R + +--R 8 6 4 +--R - 63063a cosh(x) + 155232a cosh(x) - 79380a cosh(x) +--R + +--R 2 +--R 2352a cosh(x) + 819a +--R * +--R 6 +--R coth(x)sinh(x) +--R + +--R 9 7 5 +--R - 42042a cosh(x) + 133056a cosh(x) - 95256a cosh(x) +--R + +--R 3 +--R 4704a cosh(x) + 4914a cosh(x) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 10 8 6 +--R - 21021a cosh(x) + 83160a cosh(x) - 79380a cosh(x) +--R + +--R 4 2 +--R 5880a cosh(x) + 12285a cosh(x) - 1260a +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 11 9 7 +--R - 7644a cosh(x) + 36960a cosh(x) - 45360a cosh(x) +--R + +--R 5 3 +--R 4704a cosh(x) + 16380a cosh(x) - 5040a cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 12 10 8 +--R - 1911a cosh(x) + 11088a cosh(x) - 17010a cosh(x) +--R + +--R 6 4 2 +--R 2352a cosh(x) + 12285a cosh(x) - 7560a cosh(x) + 756a +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 13 11 9 +--R - 294a cosh(x) + 2016a cosh(x) - 3780a cosh(x) +--R + +--R 7 5 3 +--R 672a cosh(x) + 4914a cosh(x) - 5040a cosh(x) + 1512a cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 14 12 10 +--R - 21a cosh(x) + 168a cosh(x) - 378a cosh(x) +--R + +--R 8 6 4 2 +--R 84a cosh(x) + 819a cosh(x) - 1260a cosh(x) + 756a cosh(x) +--R + +--R - 168a +--R * +--R coth(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 14 2 13 +--R - 21a coth(x)sinh(x) - 294a cosh(x)coth(x)sinh(x) +--R + +--R 2 2 12 2 3 11 +--R - 1911a cosh(x) coth(x)sinh(x) - 7644a cosh(x) coth(x)sinh(x) +--R + +--R 2 4 2 10 +--R (- 21021a cosh(x) + 294a )coth(x)sinh(x) +--R + +--R 2 5 2 9 +--R (- 42042a cosh(x) + 2940a cosh(x))coth(x)sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (- 63063a cosh(x) + 13230a cosh(x) - 588a )coth(x)sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (- 72072a cosh(x) + 35280a cosh(x) - 4704a cosh(x))coth(x)sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (- 63063a cosh(x) + 61740a cosh(x) - 16464a cosh(x) + 147a ) +--R * +--R 6 +--R coth(x)sinh(x) +--R + +--R 2 9 2 5 2 3 +--R - 42042a cosh(x) + 74088a cosh(x) - 32928a cosh(x) +--R + +--R 2 +--R 882a cosh(x) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 2 10 2 6 2 4 +--R - 21021a cosh(x) + 61740a cosh(x) - 41160a cosh(x) +--R + +--R 2 2 2 +--R 2205a cosh(x) + 588a +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 2 11 2 7 2 5 +--R - 7644a cosh(x) + 35280a cosh(x) - 32928a cosh(x) +--R + +--R 2 3 2 +--R 2940a cosh(x) + 2352a cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 2 12 2 8 2 6 +--R - 1911a cosh(x) + 13230a cosh(x) - 16464a cosh(x) +--R + +--R 2 4 2 2 2 +--R 2205a cosh(x) + 3528a cosh(x) - 588a +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 2 13 2 9 2 7 +--R - 294a cosh(x) + 2940a cosh(x) - 4704a cosh(x) +--R + +--R 2 5 2 3 2 +--R 882a cosh(x) + 2352a cosh(x) - 1176a cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R - 21a cosh(x) + 294a cosh(x) - 588a cosh(x) + 147a cosh(x) +--R + +--R 2 4 2 2 2 +--R 588a cosh(x) - 588a cosh(x) + 168a +--R * +--R coth(x) +--R * +--R +-------+ +--R \|coth(x) +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R 14 13 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 3822a cosh(x) + 336a)sinh(x) +--R + +--R 3 11 +--R (- 15288a cosh(x) + 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 42042a cosh(x) + 22176a cosh(x) - 756a)sinh(x) +--R + +--R 5 3 9 +--R (- 84084a cosh(x) + 73920a cosh(x) - 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 126126a cosh(x) + 166320a cosh(x) - 34020a cosh(x) +--R + +--R 168a +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R - 144144a cosh(x) + 266112a cosh(x) - 90720a cosh(x) +--R + +--R 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R - 126126a cosh(x) + 310464a cosh(x) - 158760a cosh(x) +--R + +--R 2 +--R 4704a cosh(x) + 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 84084a cosh(x) + 266112a cosh(x) - 190512a cosh(x) +--R + +--R 3 +--R 9408a cosh(x) + 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 42042a cosh(x) + 166320a cosh(x) - 158760a cosh(x) +--R + +--R 4 2 +--R 11760a cosh(x) + 24570a cosh(x) - 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 15288a cosh(x) + 73920a cosh(x) - 90720a cosh(x) +--R + +--R 5 3 +--R 9408a cosh(x) + 32760a cosh(x) - 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 3822a cosh(x) + 22176a cosh(x) - 34020a cosh(x) +--R + +--R 6 4 2 +--R 4704a cosh(x) + 24570a cosh(x) - 15120a cosh(x) + 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 588a cosh(x) + 4032a cosh(x) - 7560a cosh(x) +--R + +--R 7 5 3 +--R 1344a cosh(x) + 9828a cosh(x) - 10080a cosh(x) +--R + +--R 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 42a cosh(x) + 336a cosh(x) - 756a cosh(x) + 168a cosh(x) +--R + +--R 6 4 2 +--R 1638a cosh(x) - 2520a cosh(x) + 1512a cosh(x) - 336a +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 14 13 2 12 +--R 42a sinh(x) + 588a cosh(x)sinh(x) + 3822a cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R 15288a cosh(x) sinh(x) + (42042a cosh(x) - 588a)sinh(x) +--R + +--R 5 9 +--R (84084a cosh(x) - 5880a cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (126126a cosh(x) - 26460a cosh(x) + 1176a)sinh(x) +--R + +--R 7 3 7 +--R (144144a cosh(x) - 70560a cosh(x) + 9408a cosh(x))sinh(x) +--R + +--R 8 4 2 +--R (126126a cosh(x) - 123480a cosh(x) + 32928a cosh(x) - 294a) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R 84084a cosh(x) - 148176a cosh(x) + 65856a cosh(x) +--R + +--R - 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R 42042a cosh(x) - 123480a cosh(x) + 82320a cosh(x) +--R + +--R 2 +--R - 4410a cosh(x) - 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R 15288a cosh(x) - 70560a cosh(x) + 65856a cosh(x) +--R + +--R 3 +--R - 5880a cosh(x) - 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R 3822a cosh(x) - 26460a cosh(x) + 32928a cosh(x) +--R + +--R 4 2 +--R - 4410a cosh(x) - 7056a cosh(x) + 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R 588a cosh(x) - 5880a cosh(x) + 9408a cosh(x) +--R + +--R 5 3 +--R - 1764a cosh(x) - 4704a cosh(x) + 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R 42a cosh(x) - 588a cosh(x) + 1176a cosh(x) - 294a cosh(x) +--R + +--R 4 2 +--R - 1176a cosh(x) + 1176a cosh(x) - 336a +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a coth(x) atanh(\|coth(x) ) +--R + +--R 14 13 +--R 42a sinh(x) + 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (3822a cosh(x) - 336a)sinh(x) +--R + +--R 3 11 +--R (15288a cosh(x) - 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (42042a cosh(x) - 22176a cosh(x) + 756a)sinh(x) +--R + +--R 5 3 9 +--R (84084a cosh(x) - 73920a cosh(x) + 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (126126a cosh(x) - 166320a cosh(x) + 34020a cosh(x) - 168a) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 144144a cosh(x) - 266112a cosh(x) + 90720a cosh(x) +--R + +--R - 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 126126a cosh(x) - 310464a cosh(x) + 158760a cosh(x) +--R + +--R 2 +--R - 4704a cosh(x) - 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 84084a cosh(x) - 266112a cosh(x) + 190512a cosh(x) +--R + +--R 3 +--R - 9408a cosh(x) - 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 42042a cosh(x) - 166320a cosh(x) + 158760a cosh(x) +--R + +--R 4 2 +--R - 11760a cosh(x) - 24570a cosh(x) + 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 15288a cosh(x) - 73920a cosh(x) + 90720a cosh(x) +--R + +--R 5 3 +--R - 9408a cosh(x) - 32760a cosh(x) + 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 3822a cosh(x) - 22176a cosh(x) + 34020a cosh(x) +--R + +--R 6 4 2 +--R - 4704a cosh(x) - 24570a cosh(x) + 15120a cosh(x) - 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 588a cosh(x) - 4032a cosh(x) + 7560a cosh(x) +--R + +--R 7 5 3 +--R - 1344a cosh(x) - 9828a cosh(x) + 10080a cosh(x) +--R + +--R - 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 42a cosh(x) - 336a cosh(x) + 756a cosh(x) - 168a cosh(x) +--R + +--R 6 4 2 +--R - 1638a cosh(x) + 2520a cosh(x) - 1512a cosh(x) + 336a +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 14 13 2 12 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) - 3822a cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R - 15288a cosh(x) sinh(x) + (- 42042a cosh(x) + 588a)sinh(x) +--R + +--R 5 9 +--R (- 84084a cosh(x) + 5880a cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (- 126126a cosh(x) + 26460a cosh(x) - 1176a)sinh(x) +--R + +--R 7 3 7 +--R (- 144144a cosh(x) + 70560a cosh(x) - 9408a cosh(x))sinh(x) +--R + +--R 8 4 2 +--R - 126126a cosh(x) + 123480a cosh(x) - 32928a cosh(x) +--R + +--R 294a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R - 84084a cosh(x) + 148176a cosh(x) - 65856a cosh(x) +--R + +--R 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R - 42042a cosh(x) + 123480a cosh(x) - 82320a cosh(x) +--R + +--R 2 +--R 4410a cosh(x) + 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R - 15288a cosh(x) + 70560a cosh(x) - 65856a cosh(x) +--R + +--R 3 +--R 5880a cosh(x) + 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R - 3822a cosh(x) + 26460a cosh(x) - 32928a cosh(x) +--R + +--R 4 2 +--R 4410a cosh(x) + 7056a cosh(x) - 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R - 588a cosh(x) + 5880a cosh(x) - 9408a cosh(x) +--R + +--R 5 3 +--R 1764a cosh(x) + 4704a cosh(x) - 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R - 42a cosh(x) + 588a cosh(x) - 1176a cosh(x) + 294a cosh(x) +--R + +--R 4 2 +--R 1176a cosh(x) - 1176a cosh(x) + 336a +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a coth(x) atan(\|coth(x) ) +--R + +--R 14 13 +--R - 42a coth(x)sinh(x) - 588a cosh(x)coth(x)sinh(x) +--R + +--R 2 12 +--R (- 3822a cosh(x) + 336a)coth(x)sinh(x) +--R + +--R 3 11 +--R (- 15288a cosh(x) + 4032a cosh(x))coth(x)sinh(x) +--R + +--R 4 2 10 +--R (- 42042a cosh(x) + 22176a cosh(x) - 756a)coth(x)sinh(x) +--R + +--R 5 3 +--R (- 84084a cosh(x) + 73920a cosh(x) - 7560a cosh(x))coth(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 4 2 +--R - 126126a cosh(x) + 166320a cosh(x) - 34020a cosh(x) +--R + +--R 168a +--R * +--R 8 +--R coth(x)sinh(x) +--R + +--R 7 5 3 +--R - 144144a cosh(x) + 266112a cosh(x) - 90720a cosh(x) +--R + +--R 1344a cosh(x) +--R * +--R 7 +--R coth(x)sinh(x) +--R + +--R 8 6 4 +--R - 126126a cosh(x) + 310464a cosh(x) - 158760a cosh(x) +--R + +--R 2 +--R 4704a cosh(x) + 1638a +--R * +--R 6 +--R coth(x)sinh(x) +--R + +--R 9 7 5 +--R - 84084a cosh(x) + 266112a cosh(x) - 190512a cosh(x) +--R + +--R 3 +--R 9408a cosh(x) + 9828a cosh(x) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 10 8 6 +--R - 42042a cosh(x) + 166320a cosh(x) - 158760a cosh(x) +--R + +--R 4 2 +--R 11760a cosh(x) + 24570a cosh(x) - 2520a +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 11 9 7 +--R - 15288a cosh(x) + 73920a cosh(x) - 90720a cosh(x) +--R + +--R 5 3 +--R 9408a cosh(x) + 32760a cosh(x) - 10080a cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 12 10 8 +--R - 3822a cosh(x) + 22176a cosh(x) - 34020a cosh(x) +--R + +--R 6 4 2 +--R 4704a cosh(x) + 24570a cosh(x) - 15120a cosh(x) + 1512a +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 13 11 9 +--R - 588a cosh(x) + 4032a cosh(x) - 7560a cosh(x) +--R + +--R 7 5 3 +--R 1344a cosh(x) + 9828a cosh(x) - 10080a cosh(x) +--R + +--R 3024a cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 14 12 10 +--R - 42a cosh(x) + 336a cosh(x) - 756a cosh(x) +--R + +--R 8 6 4 +--R 168a cosh(x) + 1638a cosh(x) - 2520a cosh(x) +--R + +--R 2 +--R 1512a cosh(x) - 336a +--R * +--R coth(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 14 2 13 +--R - 42a coth(x)sinh(x) - 588a cosh(x)coth(x)sinh(x) +--R + +--R 2 2 12 2 3 11 +--R - 3822a cosh(x) coth(x)sinh(x) - 15288a cosh(x) coth(x)sinh(x) +--R + +--R 2 4 2 10 +--R (- 42042a cosh(x) + 588a )coth(x)sinh(x) +--R + +--R 2 5 2 9 +--R (- 84084a cosh(x) + 5880a cosh(x))coth(x)sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (- 126126a cosh(x) + 26460a cosh(x) - 1176a )coth(x)sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (- 144144a cosh(x) + 70560a cosh(x) - 9408a cosh(x))coth(x)sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (- 126126a cosh(x) + 123480a cosh(x) - 32928a cosh(x) + 294a ) +--R * +--R 6 +--R coth(x)sinh(x) +--R + +--R 2 9 2 5 2 3 +--R - 84084a cosh(x) + 148176a cosh(x) - 65856a cosh(x) +--R + +--R 2 +--R 1764a cosh(x) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 2 10 2 6 2 4 +--R - 42042a cosh(x) + 123480a cosh(x) - 82320a cosh(x) +--R + +--R 2 2 2 +--R 4410a cosh(x) + 1176a +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 2 11 2 7 2 5 +--R - 15288a cosh(x) + 70560a cosh(x) - 65856a cosh(x) +--R + +--R 2 3 2 +--R 5880a cosh(x) + 4704a cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 2 12 2 8 2 6 +--R - 3822a cosh(x) + 26460a cosh(x) - 32928a cosh(x) +--R + +--R 2 4 2 2 2 +--R 4410a cosh(x) + 7056a cosh(x) - 1176a +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 2 13 2 9 2 7 +--R - 588a cosh(x) + 5880a cosh(x) - 9408a cosh(x) +--R + +--R 2 5 2 3 2 +--R 1764a cosh(x) + 4704a cosh(x) - 2352a cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R - 42a cosh(x) + 588a cosh(x) - 1176a cosh(x) + 294a cosh(x) +--R + +--R 2 4 2 2 2 +--R 1176a cosh(x) - 1176a cosh(x) + 336a +--R * +--R coth(x) +--R * +--R +-------+ +--R \|coth(x) +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 3 14 +--R (12a coth(x) + 28a coth(x))sinh(x) +--R + +--R 3 13 +--R (168a cosh(x)coth(x) + 392a cosh(x)coth(x))sinh(x) +--R + +--R 2 3 +--R (1092a cosh(x) - 96a)coth(x) +--R + +--R 2 +--R (2548a cosh(x) - 224a)coth(x) +--R * +--R 12 +--R sinh(x) +--R + +--R 3 3 +--R (4368a cosh(x) - 1152a cosh(x))coth(x) +--R + +--R 3 +--R (10192a cosh(x) - 2688a cosh(x))coth(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 4 2 3 +--R (12012a cosh(x) - 6336a cosh(x) + 216a)coth(x) +--R + +--R 4 2 +--R (28028a cosh(x) - 14784a cosh(x) + 504a)coth(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 5 3 3 +--R (24024a cosh(x) - 21120a cosh(x) + 2160a cosh(x))coth(x) +--R + +--R 5 3 +--R (56056a cosh(x) - 49280a cosh(x) + 5040a cosh(x))coth(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 4 2 +--R (36036a cosh(x) - 47520a cosh(x) + 9720a cosh(x) - 48a) +--R * +--R 3 +--R coth(x) +--R + +--R 6 4 2 +--R 84084a cosh(x) - 110880a cosh(x) + 22680a cosh(x) +--R + +--R - 112a +--R * +--R coth(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 41184a cosh(x) - 76032a cosh(x) + 25920a cosh(x) +--R + +--R - 384a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 7 5 3 +--R 96096a cosh(x) - 177408a cosh(x) + 60480a cosh(x) +--R + +--R - 896a cosh(x) +--R * +--R coth(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 36036a cosh(x) - 88704a cosh(x) + 45360a cosh(x) +--R + +--R 2 +--R - 1344a cosh(x) - 468a +--R * +--R 3 +--R coth(x) +--R + +--R 8 6 4 +--R 84084a cosh(x) - 206976a cosh(x) + 105840a cosh(x) +--R + +--R 2 +--R - 3136a cosh(x) - 1092a +--R * +--R coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 24024a cosh(x) - 76032a cosh(x) + 54432a cosh(x) +--R + +--R 3 +--R - 2688a cosh(x) - 2808a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 9 7 5 +--R 56056a cosh(x) - 177408a cosh(x) + 127008a cosh(x) +--R + +--R 3 +--R - 6272a cosh(x) - 6552a cosh(x) +--R * +--R coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 12012a cosh(x) - 47520a cosh(x) + 45360a cosh(x) +--R + +--R 4 2 +--R - 3360a cosh(x) - 7020a cosh(x) + 720a +--R * +--R 3 +--R coth(x) +--R + +--R 10 8 6 +--R 28028a cosh(x) - 110880a cosh(x) + 105840a cosh(x) +--R + +--R 4 2 +--R - 7840a cosh(x) - 16380a cosh(x) + 1680a +--R * +--R coth(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 4368a cosh(x) - 21120a cosh(x) + 25920a cosh(x) +--R + +--R 5 3 +--R - 2688a cosh(x) - 9360a cosh(x) + 2880a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 11 9 7 +--R 10192a cosh(x) - 49280a cosh(x) + 60480a cosh(x) +--R + +--R 5 3 +--R - 6272a cosh(x) - 21840a cosh(x) + 6720a cosh(x) +--R * +--R coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 1092a cosh(x) - 6336a cosh(x) + 9720a cosh(x) +--R + +--R 6 4 2 +--R - 1344a cosh(x) - 7020a cosh(x) + 4320a cosh(x) - 432a +--R * +--R 3 +--R coth(x) +--R + +--R 12 10 8 +--R 2548a cosh(x) - 14784a cosh(x) + 22680a cosh(x) +--R + +--R 6 4 2 +--R - 3136a cosh(x) - 16380a cosh(x) + 10080a cosh(x) +--R + +--R - 1008a +--R * +--R coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 168a cosh(x) - 1152a cosh(x) + 2160a cosh(x) +--R + +--R 7 5 3 +--R - 384a cosh(x) - 2808a cosh(x) + 2880a cosh(x) +--R + +--R - 864a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 13 11 9 +--R 392a cosh(x) - 2688a cosh(x) + 5040a cosh(x) +--R + +--R 7 5 3 +--R - 896a cosh(x) - 6552a cosh(x) + 6720a cosh(x) +--R + +--R - 2016a cosh(x) +--R * +--R coth(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 12a cosh(x) - 96a cosh(x) + 216a cosh(x) - 48a cosh(x) +--R + +--R 6 4 2 +--R - 468a cosh(x) + 720a cosh(x) - 432a cosh(x) + 96a +--R * +--R 3 +--R coth(x) +--R + +--R 14 12 10 +--R 28a cosh(x) - 224a cosh(x) + 504a cosh(x) +--R + +--R 8 6 4 +--R - 112a cosh(x) - 1092a cosh(x) + 1680a cosh(x) +--R + +--R 2 +--R - 1008a cosh(x) + 224a +--R * +--R coth(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 3 14 +--R (- 12a coth(x) - 28a coth(x))sinh(x) +--R + +--R 3 13 +--R (- 168a cosh(x)coth(x) - 392a cosh(x)coth(x))sinh(x) +--R + +--R 2 3 2 12 +--R (- 1092a cosh(x) coth(x) - 2548a cosh(x) coth(x))sinh(x) +--R + +--R 3 3 3 11 +--R (- 4368a cosh(x) coth(x) - 10192a cosh(x) coth(x))sinh(x) +--R + +--R 4 3 +--R (- 12012a cosh(x) + 168a)coth(x) +--R + +--R 4 +--R (- 28028a cosh(x) + 392a)coth(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 5 3 +--R (- 24024a cosh(x) + 1680a cosh(x))coth(x) +--R + +--R 5 +--R (- 56056a cosh(x) + 3920a cosh(x))coth(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 2 3 +--R (- 36036a cosh(x) + 7560a cosh(x) - 336a)coth(x) +--R + +--R 6 2 +--R (- 84084a cosh(x) + 17640a cosh(x) - 784a)coth(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 3 3 +--R (- 41184a cosh(x) + 20160a cosh(x) - 2688a cosh(x))coth(x) +--R + +--R 7 3 +--R (- 96096a cosh(x) + 47040a cosh(x) - 6272a cosh(x))coth(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 4 2 +--R - 36036a cosh(x) + 35280a cosh(x) - 9408a cosh(x) +--R + +--R 84a +--R * +--R 3 +--R coth(x) +--R + +--R 8 4 2 +--R - 84084a cosh(x) + 82320a cosh(x) - 21952a cosh(x) +--R + +--R 196a +--R * +--R coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R - 24024a cosh(x) + 42336a cosh(x) - 18816a cosh(x) +--R + +--R 504a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 9 5 3 +--R - 56056a cosh(x) + 98784a cosh(x) - 43904a cosh(x) +--R + +--R 1176a cosh(x) +--R * +--R coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R - 12012a cosh(x) + 35280a cosh(x) - 23520a cosh(x) +--R + +--R 2 +--R 1260a cosh(x) + 336a +--R * +--R 3 +--R coth(x) +--R + +--R 10 6 4 +--R - 28028a cosh(x) + 82320a cosh(x) - 54880a cosh(x) +--R + +--R 2 +--R 2940a cosh(x) + 784a +--R * +--R coth(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R - 4368a cosh(x) + 20160a cosh(x) - 18816a cosh(x) +--R + +--R 3 +--R 1680a cosh(x) + 1344a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 11 7 5 +--R - 10192a cosh(x) + 47040a cosh(x) - 43904a cosh(x) +--R + +--R 3 +--R 3920a cosh(x) + 3136a cosh(x) +--R * +--R coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R - 1092a cosh(x) + 7560a cosh(x) - 9408a cosh(x) +--R + +--R 4 2 +--R 1260a cosh(x) + 2016a cosh(x) - 336a +--R * +--R 3 +--R coth(x) +--R + +--R 12 8 6 +--R - 2548a cosh(x) + 17640a cosh(x) - 21952a cosh(x) +--R + +--R 4 2 +--R 2940a cosh(x) + 4704a cosh(x) - 784a +--R * +--R coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R - 168a cosh(x) + 1680a cosh(x) - 2688a cosh(x) +--R + +--R 5 3 +--R 504a cosh(x) + 1344a cosh(x) - 672a cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 13 9 7 +--R - 392a cosh(x) + 3920a cosh(x) - 6272a cosh(x) +--R + +--R 5 3 +--R 1176a cosh(x) + 3136a cosh(x) - 1568a cosh(x) +--R * +--R coth(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 +--R - 12a cosh(x) + 168a cosh(x) - 336a cosh(x) +--R + +--R 6 4 2 +--R 84a cosh(x) + 336a cosh(x) - 336a cosh(x) + 96a +--R * +--R 3 +--R coth(x) +--R + +--R 14 10 8 +--R - 28a cosh(x) + 392a cosh(x) - 784a cosh(x) +--R + +--R 6 4 2 +--R 196a cosh(x) + 784a cosh(x) - 784a cosh(x) + 224a +--R * +--R coth(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R +-------+ | 3 +--R \|coth(x) \|a coth(x) +--R + +--R 12 11 +--R 448a coth(x)sinh(x) + 5376a cosh(x)coth(x)sinh(x) +--R + +--R 2 10 +--R (29568a cosh(x) - 1008a)coth(x)sinh(x) +--R + +--R 3 9 +--R (98560a cosh(x) - 10080a cosh(x))coth(x)sinh(x) +--R + +--R 4 2 8 +--R (221760a cosh(x) - 45360a cosh(x) )coth(x)sinh(x) +--R + +--R 5 3 7 +--R (354816a cosh(x) - 120960a cosh(x) )coth(x)sinh(x) +--R + +--R 6 4 6 +--R (413952a cosh(x) - 211680a cosh(x) + 1904a)coth(x)sinh(x) +--R + +--R 7 5 +--R (354816a cosh(x) - 254016a cosh(x) + 11424a cosh(x))coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 2 +--R (221760a cosh(x) - 211680a cosh(x) + 28560a cosh(x) - 2688a) +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 9 7 3 +--R 98560a cosh(x) - 120960a cosh(x) + 38080a cosh(x) +--R + +--R - 10752a cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 10 8 4 +--R 29568a cosh(x) - 45360a cosh(x) + 28560a cosh(x) +--R + +--R 2 +--R - 16128a cosh(x) + 1344a +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 11 9 5 +--R 5376a cosh(x) - 10080a cosh(x) + 11424a cosh(x) +--R + +--R 3 +--R - 10752a cosh(x) + 2688a cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 12 10 6 +--R 448a cosh(x) - 1008a cosh(x) + 1904a cosh(x) +--R + +--R 4 2 +--R - 2688a cosh(x) + 1344a cosh(x) +--R * +--R coth(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 14 2 13 +--R - 80a coth(x)sinh(x) - 1120a cosh(x)coth(x)sinh(x) +--R + +--R 2 2 2 12 +--R (- 7280a cosh(x) + 112a )coth(x)sinh(x) +--R + +--R 2 3 2 11 +--R (- 29120a cosh(x) + 1344a cosh(x))coth(x)sinh(x) +--R + +--R 2 4 2 2 2 10 +--R (- 80080a cosh(x) + 7392a cosh(x) + 896a )coth(x)sinh(x) +--R + +--R 2 5 2 3 2 9 +--R (- 160160a cosh(x) + 24640a cosh(x) + 8960a cosh(x))coth(x)sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R (- 240240a cosh(x) + 55440a cosh(x) + 40320a cosh(x) - 1232a ) +--R * +--R 8 +--R coth(x)sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 274560a cosh(x) + 88704a cosh(x) + 107520a cosh(x) +--R + +--R 2 +--R - 9856a cosh(x) +--R * +--R 7 +--R coth(x)sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - 240240a cosh(x) + 103488a cosh(x) + 188160a cosh(x) +--R + +--R 2 2 2 +--R - 34496a cosh(x) + 112a +--R * +--R 6 +--R coth(x)sinh(x) +--R + +--R 2 9 2 7 2 5 +--R - 160160a cosh(x) + 88704a cosh(x) + 225792a cosh(x) +--R + +--R 2 3 2 +--R - 68992a cosh(x) + 672a cosh(x) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 2 10 2 8 2 6 +--R - 80080a cosh(x) + 55440a cosh(x) + 188160a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 86240a cosh(x) + 1680a cosh(x) + 1344a +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 2 11 2 9 2 7 +--R - 29120a cosh(x) + 24640a cosh(x) + 107520a cosh(x) +--R + +--R 2 5 2 3 2 +--R - 68992a cosh(x) + 2240a cosh(x) + 5376a cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 2 12 2 10 2 8 +--R - 7280a cosh(x) + 7392a cosh(x) + 40320a cosh(x) +--R + +--R 2 6 2 4 2 2 2 +--R - 34496a cosh(x) + 1680a cosh(x) + 8064a cosh(x) - 1344a +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 2 13 2 11 2 9 +--R - 1120a cosh(x) + 1344a cosh(x) + 8960a cosh(x) +--R + +--R 2 7 2 5 2 3 2 +--R - 9856a cosh(x) + 672a cosh(x) + 5376a cosh(x) - 2688a cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 2 14 2 12 2 10 +--R - 80a cosh(x) + 112a cosh(x) + 896a cosh(x) +--R + +--R 2 8 2 6 2 4 2 2 +--R - 1232a cosh(x) + 112a cosh(x) + 1344a cosh(x) - 1344a cosh(x) +--R * +--R coth(x) +--R * +--R +-------+ +--R \|coth(x) +--R / +--R 14 13 +--R 42coth(x)sinh(x) + 588cosh(x)coth(x)sinh(x) +--R + +--R 2 12 +--R (3822cosh(x) - 336)coth(x)sinh(x) +--R + +--R 3 11 +--R (15288cosh(x) - 4032cosh(x))coth(x)sinh(x) +--R + +--R 4 2 10 +--R (42042cosh(x) - 22176cosh(x) + 756)coth(x)sinh(x) +--R + +--R 5 3 9 +--R (84084cosh(x) - 73920cosh(x) + 7560cosh(x))coth(x)sinh(x) +--R + +--R 6 4 2 +--R (126126cosh(x) - 166320cosh(x) + 34020cosh(x) - 168)coth(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R (144144cosh(x) - 266112cosh(x) + 90720cosh(x) - 1344cosh(x)) +--R * +--R 7 +--R coth(x)sinh(x) +--R + +--R 8 6 4 2 +--R 126126cosh(x) - 310464cosh(x) + 158760cosh(x) - 4704cosh(x) +--R + +--R - 1638 +--R * +--R 6 +--R coth(x)sinh(x) +--R + +--R 9 7 5 3 +--R 84084cosh(x) - 266112cosh(x) + 190512cosh(x) - 9408cosh(x) +--R + +--R - 9828cosh(x) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 10 8 6 +--R 42042cosh(x) - 166320cosh(x) + 158760cosh(x) +--R + +--R 4 2 +--R - 11760cosh(x) - 24570cosh(x) + 2520 +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 11 9 7 5 +--R 15288cosh(x) - 73920cosh(x) + 90720cosh(x) - 9408cosh(x) +--R + +--R 3 +--R - 32760cosh(x) + 10080cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 12 10 8 6 +--R 3822cosh(x) - 22176cosh(x) + 34020cosh(x) - 4704cosh(x) +--R + +--R 4 2 +--R - 24570cosh(x) + 15120cosh(x) - 1512 +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 13 11 9 7 +--R 588cosh(x) - 4032cosh(x) + 7560cosh(x) - 1344cosh(x) +--R + +--R 5 3 +--R - 9828cosh(x) + 10080cosh(x) - 3024cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 14 12 10 8 +--R 42cosh(x) - 336cosh(x) + 756cosh(x) - 168cosh(x) +--R + +--R 6 4 2 +--R - 1638cosh(x) + 2520cosh(x) - 1512cosh(x) + 336 +--R * +--R coth(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 14 13 +--R - 42coth(x)sinh(x) - 588cosh(x)coth(x)sinh(x) +--R + +--R 2 12 3 11 +--R - 3822cosh(x) coth(x)sinh(x) - 15288cosh(x) coth(x)sinh(x) +--R + +--R 4 10 +--R (- 42042cosh(x) + 588)coth(x)sinh(x) +--R + +--R 5 9 +--R (- 84084cosh(x) + 5880cosh(x))coth(x)sinh(x) +--R + +--R 6 2 8 +--R (- 126126cosh(x) + 26460cosh(x) - 1176)coth(x)sinh(x) +--R + +--R 7 3 7 +--R (- 144144cosh(x) + 70560cosh(x) - 9408cosh(x))coth(x)sinh(x) +--R + +--R 8 4 2 +--R (- 126126cosh(x) + 123480cosh(x) - 32928cosh(x) + 294)coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R (- 84084cosh(x) + 148176cosh(x) - 65856cosh(x) + 1764cosh(x)) +--R * +--R 5 +--R coth(x)sinh(x) +--R + +--R 10 6 4 +--R - 42042cosh(x) + 123480cosh(x) - 82320cosh(x) +--R + +--R 2 +--R 4410cosh(x) + 1176 +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 11 7 5 3 +--R - 15288cosh(x) + 70560cosh(x) - 65856cosh(x) + 5880cosh(x) +--R + +--R 4704cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 12 8 6 4 +--R - 3822cosh(x) + 26460cosh(x) - 32928cosh(x) + 4410cosh(x) +--R + +--R 2 +--R 7056cosh(x) - 1176 +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 13 9 7 5 +--R - 588cosh(x) + 5880cosh(x) - 9408cosh(x) + 1764cosh(x) +--R + +--R 3 +--R 4704cosh(x) - 2352cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 14 10 8 6 +--R - 42cosh(x) + 588cosh(x) - 1176cosh(x) + 294cosh(x) +--R + +--R 4 2 +--R 1176cosh(x) - 1176cosh(x) + 336 +--R * +--R coth(x) +--R * +--R +---+ +--R \|- a +--R * +--R +-------+ +--R \|coth(x) +--R Type: Expression Integer +--E 213 + +--S 214 of 508 +--d0341:= D(m0341,x) +--E 214 + +--S 215 of 508 +t0342:= 1/(a*coth(x)^2)^(1/2) +--R +--R +--R 1 +--R (183) ------------- +--R +----------+ +--R | 2 +--R \|a coth(x) +--R Type: Expression Integer +--E 215 + +--S 216 of 508 +r0342:= coth(x)*log(cosh(x))/(a*coth(x)^2)^(1/2) +--R +--R +--R coth(x)log(cosh(x)) +--R (184) ------------------- +--R +----------+ +--R | 2 +--R \|a coth(x) +--R Type: Expression Integer +--E 216 + +--S 217 of 508 +a0342:= integrate(t0342,x) +--R +--R +--R 2cosh(x) +--R log(- -----------------) - x +--R sinh(x) - cosh(x) +--R (185) ---------------------------- +--R +-+ +--R \|a +--R Type: Union(Expression Integer,...) +--E 217 + +--S 218 of 508 +m0342:= a0342-r0342 +--R +--R +--R (186) +--R +----------+ +--R 2cosh(x) | 2 +-+ +--R (log(- -----------------) - x)\|a coth(x) - coth(x)\|a log(cosh(x)) +--R sinh(x) - cosh(x) +--R --------------------------------------------------------------------- +--R +----------+ +--R +-+ | 2 +--R \|a \|a coth(x) +--R Type: Expression Integer +--E 218 + +--S 219 of 508 +d0342:= D(m0342,x) +--R +--R +--R +----------+ +--R +-+ | 2 +--R sinh(x)\|a \|a coth(x) - a coth(x)sinh(x) +--R (187) ------------------------------------------- +--R +----------+ +--R | 2 +--R a cosh(x)\|a coth(x) +--R Type: Expression Integer +--E 219 + +--S 220 of 508 +t0343:= 1/(a*coth(x)^3)^(1/2) +--R +--R +--R 1 +--R (188) ------------- +--R +----------+ +--R | 3 +--R \|a coth(x) +--R Type: Expression Integer +--E 220 + +--S 221 of 508 +r0343:= -(2+(atan(coth(x)^(1/2))-atanh(coth(x)^(1/2)))*coth(x)^(1/2))*coth(x)/(a*coth(x)^3)^(1/2) +--R +--R +--R (189) +--R +-------+ +-------+ +-------+ +-------+ +--R coth(x)\|coth(x) atanh(\|coth(x) ) - coth(x)\|coth(x) atan(\|coth(x) ) +--R + +--R - 2coth(x) +--R / +--R +----------+ +--R | 3 +--R \|a coth(x) +--R Type: Expression Integer +--E 221 + +--S 222 of 508 +a0343:= integrate(t0343,x) +--R +--R +--R (190) +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) + 1)\|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R - a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) - a +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)\|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R - 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R - 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) +--R / +--R +---------+ +--R 2 2 |a cosh(x) +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a) |--------- +--R \| sinh(x) +--R + +--R 2 2 +---+ +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a)\|- a +--R Type: Union(Expression Integer,...) +--E 222 + +--S 223 of 508 +m0343:= a0343-r0343 +--R +--R +--R (191) +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) + 1)\|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R - a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) - a +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R 2 +--R - 2a coth(x)sinh(x) - 4a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (- 2a cosh(x) + 2a)coth(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 2 +--R 2a coth(x)sinh(x) + 4a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (2a cosh(x) + 2a)coth(x) +--R * +--R +---+ +--R \|- a +--R * +--R +-------+ +-------+ +--R \|coth(x) atanh(\|coth(x) ) +--R + +--R 2 +--R 2a coth(x)sinh(x) + 4a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (2a cosh(x) - 2a)coth(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 2 +--R - 2a coth(x)sinh(x) - 4a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (- 2a cosh(x) - 2a)coth(x) +--R * +--R +---+ +--R \|- a +--R * +--R +-------+ +-------+ +--R \|coth(x) atan(\|coth(x) ) +--R + +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)\|- a |--------- +--R \| sinh(x) +--R + +--R 2 2 +--R - 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R * +--R +---------+ +--R 2 2 +---+ |a cosh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a |--------- + a +--R \| sinh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R +----------+ +--R 2 2 | 3 +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )\|a coth(x) +--R + +--R 2 +--R 4a coth(x)sinh(x) + 8a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (4a cosh(x) - 4a)coth(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 2 +--R - 4a coth(x)sinh(x) - 8a cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (- 4a cosh(x) - 4a)coth(x) +--R * +--R +---+ +--R \|- a +--R / +--R +---------+ +--R 2 2 |a cosh(x) +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a) |--------- +--R \| sinh(x) +--R + +--R 2 2 +---+ +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a)\|- a +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R Type: Expression Integer +--E 223 + +--S 224 of 508 +d0343:= D(m0343,x) +--R +--R +--R (192) +--R 14 13 2 12 +--R sinh(x) + 4cosh(x)sinh(x) + (- 15cosh(x) - 5)sinh(x) +--R + +--R 3 11 +--R (- 144cosh(x) + 10cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 451cosh(x) + 220cosh(x) + 10)sinh(x) +--R + +--R 5 3 9 +--R (- 748cosh(x) + 774cosh(x) - 80cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 627cosh(x) + 1127cosh(x) - 530cosh(x) - 10)sinh(x) +--R + +--R 5 3 7 +--R (292cosh(x) - 896cosh(x) + 140cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (627cosh(x) - 1456cosh(x) + 4cosh(x) + 420cosh(x) + 5) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 748cosh(x) - 2420cosh(x) + 1760cosh(x) + 44cosh(x) +--R + +--R - 100cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 451cosh(x) - 1831cosh(x) + 2300cosh(x) - 864cosh(x) +--R + +--R 2 +--R - 55cosh(x) - 1 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 144cosh(x) - 718cosh(x) + 1280cosh(x) - 956cosh(x) +--R + +--R 3 +--R 224cosh(x) + 26cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 15cosh(x) - 108cosh(x) + 274cosh(x) - 324cosh(x) +--R + +--R 4 2 +--R 183cosh(x) - 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 4cosh(x) + 14cosh(x) - 16cosh(x) + 4cosh(x) +--R + +--R 5 3 +--R 4cosh(x) - 2cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - cosh(x) + 5cosh(x) - 10cosh(x) + 10cosh(x) - 5cosh(x) +--R + +--R 4 +--R cosh(x) +--R * +--R +---------+ +--R |a cosh(x) +--R |--------- +--R \| sinh(x) +--R + +--R 13 2 12 +--R - 4cosh(x)sinh(x) - 36cosh(x) sinh(x) +--R + +--R 3 11 +--R (- 136cosh(x) + 24cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 264cosh(x) + 132cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 220cosh(x) + 192cosh(x) - 56cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (132cosh(x) - 316cosh(x) - 136cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (528cosh(x) - 1520cosh(x) + 320cosh(x) + 64cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (528cosh(x) - 2296cosh(x) + 1600cosh(x) - 24cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R 132cosh(x) - 1568cosh(x) + 2320cosh(x) - 656cosh(x) +--R + +--R - 36cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 220cosh(x) - 88cosh(x) + 1264cosh(x) - 1064cosh(x) +--R + +--R 2 +--R 108cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 264cosh(x) + 664cosh(x) - 256cosh(x) - 416cosh(x) +--R + +--R 3 +--R 264cosh(x) + 8cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 136cosh(x) + 500cosh(x) - 640cosh(x) + 280cosh(x) +--R + +--R 4 2 +--R 40cosh(x) - 44cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 36cosh(x) + 160cosh(x) - 280cosh(x) + 240cosh(x) +--R + +--R 5 3 +--R - 100cosh(x) + 16cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 4cosh(x) + 20cosh(x) - 40cosh(x) + 40cosh(x) +--R + +--R 6 4 +--R - 20cosh(x) + 4cosh(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R + +--R 13 2 12 +--R - 4cosh(x)sinh(x) - 32cosh(x) sinh(x) +--R + +--R 3 11 +--R (- 104cosh(x) - 12cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 160cosh(x) - 88cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 60cosh(x) - 252cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (192cosh(x) - 288cosh(x) - 80cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (336cosh(x) + 168cosh(x) - 352cosh(x) - 8cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (192cosh(x) + 1008cosh(x) - 880cosh(x) - 64cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R - 60cosh(x) + 1512cosh(x) - 1360cosh(x) - 136cosh(x) +--R + +--R 12cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 160cosh(x) + 1248cosh(x) - 1328cosh(x) - 64cosh(x) +--R + +--R 2 +--R 112cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 104cosh(x) + 612cosh(x) - 800cosh(x) + 104cosh(x) +--R + +--R 3 +--R 168cosh(x) + 20cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 32cosh(x) + 168cosh(x) - 272cosh(x) + 128cosh(x) +--R + +--R 4 2 +--R 48cosh(x) - 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R - 4cosh(x) + 20cosh(x) - 40cosh(x) + 40cosh(x) - 20cosh(x) +--R + +--R 3 +--R 4cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 12 3 11 +--R 8a cosh(x) sinh(x) + (72a cosh(x) - 4a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (280a cosh(x) - 24a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (600a cosh(x) - 36a cosh(x) - 8a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (720a cosh(x) + 96a cosh(x) - 40a cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (336a cosh(x) + 504a cosh(x) - 40a cosh(x) - 8a cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 336a cosh(x) + 1008a cosh(x) + 152a cosh(x) - 64a cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R - 720a cosh(x) + 1176a cosh(x) + 520a cosh(x) - 264a cosh(x) +--R + +--R - 8a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 600a cosh(x) + 864a cosh(x) + 712a cosh(x) - 576a cosh(x) +--R + +--R 2 +--R - 48a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 280a cosh(x) + 396a cosh(x) + 520a cosh(x) - 664a cosh(x) +--R + +--R - 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 72a cosh(x) + 104a cosh(x) + 200a cosh(x) - 384a cosh(x) +--R + +--R 4 2 +--R 112a cosh(x) + 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 8a cosh(x) + 12a cosh(x) + 32a cosh(x) - 88a cosh(x) +--R + +--R 5 3 +--R 72a cosh(x) - 20a cosh(x) +--R * +--R sinh(x) +--R / +--R 13 2 12 +--R 4cosh(x)sinh(x) + 32cosh(x) sinh(x) +--R + +--R 3 11 +--R (104cosh(x) + 12cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (160cosh(x) + 88cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (60cosh(x) + 252cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 192cosh(x) + 288cosh(x) + 80cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 336cosh(x) - 168cosh(x) + 352cosh(x) + 8cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 192cosh(x) - 1008cosh(x) + 880cosh(x) + 64cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R 60cosh(x) - 1512cosh(x) + 1360cosh(x) + 136cosh(x) +--R + +--R - 12cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 160cosh(x) - 1248cosh(x) + 1328cosh(x) + 64cosh(x) +--R + +--R 2 +--R - 112cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 104cosh(x) - 612cosh(x) + 800cosh(x) - 104cosh(x) +--R + +--R 3 +--R - 168cosh(x) - 20cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 32cosh(x) - 168cosh(x) + 272cosh(x) - 128cosh(x) +--R + +--R 4 2 +--R - 48cosh(x) + 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 4cosh(x) - 20cosh(x) + 40cosh(x) - 40cosh(x) + 20cosh(x) +--R + +--R 3 +--R - 4cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R +---+ |a cosh(x) +--R \|- a |--------- +--R \| sinh(x) +--R + +--R 2 12 3 11 +--R - 8a cosh(x) sinh(x) + (- 72a cosh(x) + 4a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 280a cosh(x) + 24a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 600a cosh(x) + 36a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 720a cosh(x) - 96a cosh(x) + 40a cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 336a cosh(x) - 504a cosh(x) + 40a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (336a cosh(x) - 1008a cosh(x) - 152a cosh(x) + 64a cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R 720a cosh(x) - 1176a cosh(x) - 520a cosh(x) + 264a cosh(x) +--R + +--R 8a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 600a cosh(x) - 864a cosh(x) - 712a cosh(x) + 576a cosh(x) +--R + +--R 2 +--R 48a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 280a cosh(x) - 396a cosh(x) - 520a cosh(x) + 664a cosh(x) +--R + +--R 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 72a cosh(x) - 104a cosh(x) - 200a cosh(x) + 384a cosh(x) +--R + +--R 4 2 +--R - 112a cosh(x) - 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 8a cosh(x) - 12a cosh(x) - 32a cosh(x) + 88a cosh(x) +--R + +--R 5 3 +--R - 72a cosh(x) + 20a cosh(x) +--R * +--R sinh(x) +--R * +--R +----------+ +--R | 3 +--R \|a coth(x) +--R Type: Expression Integer +--E 224 + +--S 225 of 508 +t0344:= 1/(a*coth(x)^4)^(1/2) +--R +--R +--R 1 +--R (193) ------------- +--R +----------+ +--R | 4 +--R \|a coth(x) +--R Type: Expression Integer +--E 225 + +--S 226 of 508 +r0344:= coth(x)^2*(x-tanh(x))/(a*coth(x)^4)^(1/2) +--R +--R +--R 2 2 +--R - coth(x) tanh(x) + x coth(x) +--R (194) ------------------------------ +--R +----------+ +--R | 4 +--R \|a coth(x) +--R Type: Expression Integer +--E 226 + +--S 227 of 508 +a0344:= integrate(t0344,x) +--R +--R +--R 2 2 +--R x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) + x + 2 +--R (195) --------------------------------------------------- +--R 2 2 +-+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|a +--R Type: Union(Expression Integer,...) +--E 227 + +--S 228 of 508 +m0344:= a0344-r0344 +--R +--R +--R (196) +--R +----------+ +--R 2 2 | 4 +--R (x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) + x + 2)\|a coth(x) +--R + +--R 2 2 2 +--R coth(x) sinh(x) + 2cosh(x)coth(x) sinh(x) +--R + +--R 2 2 +--R (cosh(x) + 1)coth(x) +--R * +--R tanh(x) +--R + +--R 2 2 2 +--R - x coth(x) sinh(x) - 2x cosh(x)coth(x) sinh(x) +--R + +--R 2 2 +--R (- x cosh(x) - x)coth(x) +--R * +--R +-+ +--R \|a +--R / +--R +----------+ +--R 2 2 +-+ | 4 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|a \|a coth(x) +--R Type: Expression Integer +--E 228 + +--S 229 of 508 +d0344:= D(m0344,x) +--R +--R +--R (197) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 4cosh(x))sinh(x) + cosh(x) - 2cosh(x) + 1 +--R * +--R +----------+ +--R +-+ | 4 +--R \|a \|a coth(x) +--R + +--R 2 4 2 3 +--R - a coth(x) sinh(x) - 4a cosh(x)coth(x) sinh(x) +--R + +--R 2 2 2 +--R (- 6a cosh(x) - 2a)coth(x) sinh(x) +--R + +--R 3 2 +--R (- 4a cosh(x) - 4a cosh(x))coth(x) sinh(x) +--R + +--R 4 2 2 +--R (- a cosh(x) - 2a cosh(x) - a)coth(x) +--R * +--R 2 +--R tanh(x) +--R / +--R 4 3 2 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4a cosh(x) + 4a cosh(x))sinh(x) + a cosh(x) + 2a cosh(x) + a +--R * +--R +----------+ +--R | 4 +--R \|a coth(x) +--R Type: Expression Integer +--E 229 + +--S 230 of 508 +t0345:= 1/(1+coth(x)) +--R +--R +--R 1 +--R (198) ----------- +--R coth(x) + 1 +--R Type: Expression Integer +--E 230 + +--S 231 of 508 +r0345:= 1/2*x-1/(2+2*coth(x)) +--R +--R +--R x coth(x) + x - 1 +--R (199) ----------------- +--R 2coth(x) + 2 +--R Type: Expression Integer +--E 231 + +--S 232 of 508 +a0345:= integrate(t0345,x) +--R +--R +--R (2x - 1)sinh(x) + (2x + 1)cosh(x) +--R (200) --------------------------------- +--R 4sinh(x) + 4cosh(x) +--R Type: Union(Expression Integer,...) +--E 232 + +--S 233 of 508 +m0345:= a0345-r0345 +--R +--R +--R (- coth(x) + 1)sinh(x) + cosh(x)coth(x) + 3cosh(x) +--R (201) -------------------------------------------------- +--R (4coth(x) + 4)sinh(x) + 4cosh(x)coth(x) + 4cosh(x) +--R Type: Expression Integer +--E 233 + +--S 234 of 508 +d0345:= D(m0345,x) +--R +--R +--R coth(x)sinh(x) - cosh(x) +--R (202) ----------------------------------------------- +--R (coth(x) + 1)sinh(x) + cosh(x)coth(x) + cosh(x) +--R Type: Expression Integer +--E 234 + +--S 235 of 508 +t0346:= 1/(1+coth(x))^2 +--R +--R +--R 1 +--R (203) ----------------------- +--R 2 +--R coth(x) + 2coth(x) + 1 +--R Type: Expression Integer +--E 235 + +--S 236 of 508 +r0346:= 1/4*x-1/4/(1+coth(x))^2-1/(4+4*coth(x)) +--R +--R +--R 2 +--R x coth(x) + (2x - 1)coth(x) + x - 2 +--R (204) ------------------------------------ +--R 2 +--R 4coth(x) + 8coth(x) + 4 +--R Type: Expression Integer +--E 236 + +--S 237 of 508 +a0346:= integrate(t0346,x) +--R +--R +--R 2 2 +--R (4x - 1)sinh(x) + (8x + 2)cosh(x)sinh(x) + (4x - 1)cosh(x) + 4 +--R (205) ---------------------------------------------------------------- +--R 2 2 +--R 16sinh(x) + 32cosh(x)sinh(x) + 16cosh(x) +--R Type: Union(Expression Integer,...) +--E 237 + +--S 238 of 508 +m0346:= a0346-r0346 +--R +--R +--R (206) +--R 2 2 +--R (- coth(x) + 2coth(x) + 7)sinh(x) +--R + +--R 2 +--R (2cosh(x)coth(x) + 12cosh(x)coth(x) + 18cosh(x))sinh(x) +--R + +--R 2 2 2 2 +--R (- cosh(x) + 4)coth(x) + (2cosh(x) + 8)coth(x) + 7cosh(x) + 4 +--R / +--R 2 2 +--R (16coth(x) + 32coth(x) + 16)sinh(x) +--R + +--R 2 +--R (32cosh(x)coth(x) + 64cosh(x)coth(x) + 32cosh(x))sinh(x) +--R + +--R 2 2 2 2 +--R 16cosh(x) coth(x) + 32cosh(x) coth(x) + 16cosh(x) +--R Type: Expression Integer +--E 238 + +--S 239 of 508 +d0346:= D(m0346,x) +--R +--R +--R (207) +--R 2 2 +--R (coth(x) + 2coth(x) - 1)sinh(x) - 4cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (cosh(x) - 1)coth(x) + (2cosh(x) - 2)coth(x) - cosh(x) - 1 +--R / +--R 2 2 +--R (2coth(x) + 4coth(x) + 2)sinh(x) +--R + +--R 2 +--R (4cosh(x)coth(x) + 8cosh(x)coth(x) + 4cosh(x))sinh(x) +--R + +--R 2 2 2 2 +--R 2cosh(x) coth(x) + 4cosh(x) coth(x) + 2cosh(x) +--R Type: Expression Integer +--E 239 + +--S 240 of 508 +t0347:= 1/(1+coth(x))^3 +--R +--R +--R 1 +--R (208) ----------------------------------- +--R 3 2 +--R coth(x) + 3coth(x) + 3coth(x) + 1 +--R Type: Expression Integer +--E 240 + +--S 241 of 508 +r0347:= 1/8*x-1/6/(1+coth(x))^3-1/8/(1+coth(x))^2-1/(8+8*coth(x)) +--R +--R +--R 3 2 +--R 3x coth(x) + (9x - 3)coth(x) + (9x - 9)coth(x) + 3x - 10 +--R (209) ---------------------------------------------------------- +--R 3 2 +--R 24coth(x) + 72coth(x) + 72coth(x) + 24 +--R Type: Expression Integer +--E 241 + +--S 242 of 508 +a0347:= integrate(t0347,x) +--R +--R +--R (210) +--R 3 2 +--R (12x - 2)sinh(x) + (36x + 6)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((36x - 6)cosh(x) + 27)sinh(x) + (12x + 2)cosh(x) + 9cosh(x) +--R / +--R 3 2 2 3 +--R 96sinh(x) + 288cosh(x)sinh(x) + 288cosh(x) sinh(x) + 96cosh(x) +--R Type: Union(Expression Integer,...) +--E 242 + +--S 243 of 508 +m0347:= a0347-r0347 +--R +--R +--R (211) +--R 3 2 3 +--R (- 2coth(x) + 6coth(x) + 30coth(x) + 38)sinh(x) +--R + +--R 3 2 +--R (6cosh(x)coth(x) + 54cosh(x)coth(x) + 126cosh(x)coth(x) + 126cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (- 6cosh(x) + 27)coth(x) + (18cosh(x) + 81)coth(x) +--R + +--R 2 2 +--R (90cosh(x) + 81)coth(x) + 114cosh(x) + 27 +--R * +--R sinh(x) +--R + +--R 3 3 3 2 +--R (2cosh(x) + 9cosh(x))coth(x) + (18cosh(x) + 27cosh(x))coth(x) +--R + +--R 3 3 +--R (42cosh(x) + 27cosh(x))coth(x) + 42cosh(x) + 9cosh(x) +--R / +--R 3 2 3 +--R (96coth(x) + 288coth(x) + 288coth(x) + 96)sinh(x) +--R + +--R 3 2 +--R 288cosh(x)coth(x) + 864cosh(x)coth(x) + 864cosh(x)coth(x) +--R + +--R 288cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 2 2 +--R 288cosh(x) coth(x) + 864cosh(x) coth(x) + 864cosh(x) coth(x) +--R + +--R 2 +--R 288cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 3 2 3 3 +--R 96cosh(x) coth(x) + 288cosh(x) coth(x) + 288cosh(x) coth(x) + 96cosh(x) +--R Type: Expression Integer +--E 243 + +--S 244 of 508 +d0347:= D(m0347,x) +--R +--R +--R (212) +--R 3 2 3 2 +--R (coth(x) + 3coth(x) + 3coth(x) - 3)sinh(x) - 12cosh(x)sinh(x) +--R + +--R 2 3 2 2 +--R (3cosh(x) - 3)coth(x) + (9cosh(x) - 9)coth(x) +--R + +--R 2 2 +--R (9cosh(x) - 9)coth(x) - 9cosh(x) - 3 +--R * +--R sinh(x) +--R + +--R 3 +--R - 4cosh(x) +--R / +--R 3 2 3 +--R (4coth(x) + 12coth(x) + 12coth(x) + 4)sinh(x) +--R + +--R 3 2 +--R (12cosh(x)coth(x) + 36cosh(x)coth(x) + 36cosh(x)coth(x) + 12cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 2 2 +--R 12cosh(x) coth(x) + 36cosh(x) coth(x) + 36cosh(x) coth(x) +--R + +--R 2 +--R 12cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 3 2 3 3 +--R 4cosh(x) coth(x) + 12cosh(x) coth(x) + 12cosh(x) coth(x) + 4cosh(x) +--R Type: Expression Integer +--E 244 + +--S 245 of 508 +t0348:= (a+b*coth(c+d*x))^3 +--R +--R +--R 3 3 2 2 2 3 +--R (213) b coth(d x + c) + 3a b coth(d x + c) + 3a b coth(d x + c) + a +--R Type: Expression Integer +--E 245 + +--S 246 of 508 +r0348:= a^3*x+3*a*b^2*x-3*a*b^2*coth(c+d*x)/d-1/2*b^3*coth(c+d*x)^2/d+3*a^2*b*log(sinh(c+d*x))/d+b^3*log(sinh(c+d*x))/d +--R +--R +--R (214) +--R 3 2 3 2 2 +--R (2b + 6a b)log(sinh(d x + c)) - b coth(d x + c) - 6a b coth(d x + c) +--R + +--R 2 3 +--R (6a b + 2a )d x +--R / +--R 2d +--R Type: Expression Integer +--E 246 + +--S 247 of 508 +a0348:= integrate(t0348,x) +--R +--R +--R (215) +--R 3 2 4 3 2 3 +--R (b + 3a b)sinh(d x + c) + (4b + 12a b)cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 2 +--R ((6b + 18a b)cosh(d x + c) - 2b - 6a b)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R ((4b + 12a b)cosh(d x + c) + (- 4b - 12a b)cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 3 2 2 3 2 +--R (b + 3a b)cosh(d x + c) + (- 2b - 6a b)cosh(d x + c) + b + 3a b +--R * +--R 2sinh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 3 2 2 3 4 +--R (- b + 3a b - 3a b + a )d x sinh(d x + c) +--R + +--R 3 2 2 3 3 +--R (- 4b + 12a b - 12a b + 4a )d x cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 +--R (- 6b + 18a b - 18a b + 6a )d x cosh(d x + c) +--R + +--R 3 2 2 3 3 2 +--R (2b - 6a b + 6a b - 2a )d x - 2b - 6a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 2 2 3 3 +--R (- 4b + 12a b - 12a b + 4a )d x cosh(d x + c) +--R + +--R 3 2 2 3 3 2 +--R ((4b - 12a b + 12a b - 4a )d x - 4b - 12a b )cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 2 2 3 4 +--R (- b + 3a b - 3a b + a )d x cosh(d x + c) +--R + +--R 3 2 2 3 3 2 2 +--R ((2b - 6a b + 6a b - 2a )d x - 2b - 6a b )cosh(d x + c) +--R + +--R 3 2 2 3 2 +--R (- b + 3a b - 3a b + a )d x + 6a b +--R / +--R 4 3 +--R d sinh(d x + c) + 4d cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (6d cosh(d x + c) - 2d)sinh(d x + c) +--R + +--R 3 4 +--R (4d cosh(d x + c) - 4d cosh(d x + c))sinh(d x + c) + d cosh(d x + c) +--R + +--R 2 +--R - 2d cosh(d x + c) + d +--R Type: Union(Expression Integer,...) +--E 247 + +--S 248 of 508 +m0348:= a0348-r0348 +--R +--R +--R (216) +--R 3 2 4 +--R (- 2b - 6a b)sinh(d x + c) +--R + +--R 3 2 3 +--R (- 8b - 24a b)cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 2 +--R ((- 12b - 36a b)cosh(d x + c) + 4b + 12a b)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R ((- 8b - 24a b)cosh(d x + c) + (8b + 24a b)cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 3 2 2 3 2 +--R (- 2b - 6a b)cosh(d x + c) + (4b + 12a b)cosh(d x + c) - 2b - 6a b +--R * +--R log(sinh(d x + c)) +--R + +--R 3 2 4 3 2 3 +--R (2b + 6a b)sinh(d x + c) + (8b + 24a b)cosh(d x + c)sinh(d x + c) +--R + +--R 3 2 2 3 2 2 +--R ((12b + 36a b)cosh(d x + c) - 4b - 12a b)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R ((8b + 24a b)cosh(d x + c) + (- 8b - 24a b)cosh(d x + c)) +--R * +--R sinh(d x + c) +--R + +--R 3 2 4 3 2 2 3 2 +--R (2b + 6a b)cosh(d x + c) + (- 4b - 12a b)cosh(d x + c) + 2b + 6a b +--R * +--R 2sinh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 3 2 2 3 2 4 +--R (b coth(d x + c) + 6a b coth(d x + c) + (- 2b - 6a b)d x)sinh(d x + c) +--R + +--R 3 2 2 +--R 4b cosh(d x + c)coth(d x + c) + 24a b cosh(d x + c)coth(d x + c) +--R + +--R 3 2 +--R (- 8b - 24a b)d x cosh(d x + c) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 2 3 2 +--R (6b cosh(d x + c) - 2b )coth(d x + c) +--R + +--R 2 2 2 +--R (36a b cosh(d x + c) - 12a b )coth(d x + c) +--R + +--R 3 2 2 3 2 3 2 +--R (- 12b - 36a b)d x cosh(d x + c) + (4b + 12a b)d x - 4b - 12a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 3 3 2 +--R (4b cosh(d x + c) - 4b cosh(d x + c))coth(d x + c) +--R + +--R 2 3 2 +--R (24a b cosh(d x + c) - 24a b cosh(d x + c))coth(d x + c) +--R + +--R 3 2 3 +--R (- 8b - 24a b)d x cosh(d x + c) +--R + +--R 3 2 3 2 +--R ((8b + 24a b)d x - 8b - 24a b )cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 4 3 2 3 2 +--R (b cosh(d x + c) - 2b cosh(d x + c) + b )coth(d x + c) +--R + +--R 2 4 2 2 2 +--R (6a b cosh(d x + c) - 12a b cosh(d x + c) + 6a b )coth(d x + c) +--R + +--R 3 2 4 +--R (- 2b - 6a b)d x cosh(d x + c) +--R + +--R 3 2 3 2 2 3 2 +--R ((4b + 12a b)d x - 4b - 12a b )cosh(d x + c) + (- 2b - 6a b)d x +--R + +--R 2 +--R 12a b +--R / +--R 4 3 +--R 2d sinh(d x + c) + 8d cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (12d cosh(d x + c) - 4d)sinh(d x + c) +--R + +--R 3 4 +--R (8d cosh(d x + c) - 8d cosh(d x + c))sinh(d x + c) + 2d cosh(d x + c) +--R + +--R 2 +--R - 4d cosh(d x + c) + 2d +--R Type: Expression Integer +--E 248 + +--S 249 of 508 +d0348:= D(m0348,x) +--R +--R +--R (217) +--R 3 3 2 2 3 2 +--R (- b coth(d x + c) - 3a b coth(d x + c) + b coth(d x + c) + 3a b ) +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 3 3 2 2 +--R - 6b cosh(d x + c)coth(d x + c) - 18a b cosh(d x + c)coth(d x + c) +--R + +--R 3 2 +--R 6b cosh(d x + c)coth(d x + c) + 18a b cosh(d x + c) +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 3 2 3 3 +--R (- 15b cosh(d x + c) + 3b )coth(d x + c) +--R + +--R 2 2 2 2 +--R (- 45a b cosh(d x + c) + 9a b )coth(d x + c) +--R + +--R 3 2 3 2 2 3 +--R (15b cosh(d x + c) - 3b )coth(d x + c) + 45a b cosh(d x + c) + 4b +--R + +--R 2 +--R 3a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 3 3 3 +--R (- 20b cosh(d x + c) + 12b cosh(d x + c))coth(d x + c) +--R + +--R 2 3 2 2 +--R (- 60a b cosh(d x + c) + 36a b cosh(d x + c))coth(d x + c) +--R + +--R 3 3 3 +--R (20b cosh(d x + c) - 12b cosh(d x + c))coth(d x + c) +--R + +--R 2 3 3 2 +--R 60a b cosh(d x + c) + (16b + 12a b )cosh(d x + c) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 4 3 2 3 3 +--R (- 15b cosh(d x + c) + 18b cosh(d x + c) - 3b )coth(d x + c) +--R + +--R 2 4 2 2 2 2 +--R (- 45a b cosh(d x + c) + 54a b cosh(d x + c) - 9a b )coth(d x + c) +--R + +--R 3 4 3 2 3 +--R (15b cosh(d x + c) - 18b cosh(d x + c) + 3b )coth(d x + c) +--R + +--R 2 4 3 2 2 3 2 +--R 45a b cosh(d x + c) + (24b + 18a b )cosh(d x + c) + 4b - 3a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 5 3 3 3 +--R (- 6b cosh(d x + c) + 12b cosh(d x + c) - 6b cosh(d x + c)) +--R * +--R 3 +--R coth(d x + c) +--R + +--R 2 5 2 3 +--R - 18a b cosh(d x + c) + 36a b cosh(d x + c) +--R + +--R 2 +--R - 18a b cosh(d x + c) +--R * +--R 2 +--R coth(d x + c) +--R + +--R 3 5 3 3 3 +--R (6b cosh(d x + c) - 12b cosh(d x + c) + 6b cosh(d x + c)) +--R * +--R coth(d x + c) +--R + +--R 2 5 3 2 3 +--R 18a b cosh(d x + c) + (16b + 12a b )cosh(d x + c) +--R + +--R 3 2 +--R (8b - 6a b )cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 6 3 4 3 2 3 +--R (- b cosh(d x + c) + 3b cosh(d x + c) - 3b cosh(d x + c) + b ) +--R * +--R 3 +--R coth(d x + c) +--R + +--R 2 6 2 4 2 2 +--R - 3a b cosh(d x + c) + 9a b cosh(d x + c) - 9a b cosh(d x + c) +--R + +--R 2 +--R 3a b +--R * +--R 2 +--R coth(d x + c) +--R + +--R 3 6 3 4 3 2 3 +--R (b cosh(d x + c) - 3b cosh(d x + c) + 3b cosh(d x + c) - b ) +--R * +--R coth(d x + c) +--R + +--R 2 6 3 2 4 +--R 3a b cosh(d x + c) + (4b + 3a b )cosh(d x + c) +--R + +--R 3 2 2 2 +--R (4b - 3a b )cosh(d x + c) - 3a b +--R / +--R 6 5 +--R sinh(d x + c) + 6cosh(d x + c)sinh(d x + c) +--R + +--R 2 4 +--R (15cosh(d x + c) - 3)sinh(d x + c) +--R + +--R 3 3 +--R (20cosh(d x + c) - 12cosh(d x + c))sinh(d x + c) +--R + +--R 4 2 2 +--R (15cosh(d x + c) - 18cosh(d x + c) + 3)sinh(d x + c) +--R + +--R 5 3 +--R (6cosh(d x + c) - 12cosh(d x + c) + 6cosh(d x + c))sinh(d x + c) +--R + +--R 6 4 2 +--R cosh(d x + c) - 3cosh(d x + c) + 3cosh(d x + c) - 1 +--R Type: Expression Integer +--E 249 + +--S 250 of 508 +t0349:= (a+b*coth(c+d*x))^2 +--R +--R +--R 2 2 2 +--R (218) b coth(d x + c) + 2a b coth(d x + c) + a +--R Type: Expression Integer +--E 250 + +--S 251 of 508 +r0349:= a^2*x+b^2*x-b^2*coth(c+d*x)/d+2*a*b*log(sinh(c+d*x))/d +--R +--R +--R 2 2 2 +--R 2a b log(sinh(d x + c)) - b coth(d x + c) + (b + a )d x +--R (219) -------------------------------------------------------- +--R d +--R Type: Expression Integer +--E 251 + +--S 252 of 508 +a0349:= integrate(t0349,x) +--R +--R +--R (220) +--R 2 +--R 2a b sinh(d x + c) + 4a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R 2a b cosh(d x + c) - 2a b +--R * +--R 2sinh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 2 2 2 +--R (b - 2a b + a )d x sinh(d x + c) +--R + +--R 2 2 +--R (2b - 4a b + 2a )d x cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 2 2 2 2 +--R (b - 2a b + a )d x cosh(d x + c) + (- b + 2a b - a )d x - 2b +--R / +--R 2 2 +--R d sinh(d x + c) + 2d cosh(d x + c)sinh(d x + c) + d cosh(d x + c) - d +--R Type: Union(Expression Integer,...) +--E 252 + +--S 253 of 508 +m0349:= a0349-r0349 +--R +--R +--R (221) +--R 2 +--R - 2a b sinh(d x + c) - 4a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R - 2a b cosh(d x + c) + 2a b +--R * +--R log(sinh(d x + c)) +--R + +--R 2 +--R 2a b sinh(d x + c) + 4a b cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R 2a b cosh(d x + c) - 2a b +--R * +--R 2sinh(d x + c) +--R log(- -----------------------------) +--R sinh(d x + c) - cosh(d x + c) +--R + +--R 2 2 +--R (b coth(d x + c) - 2a b d x)sinh(d x + c) +--R + +--R 2 +--R (2b cosh(d x + c)coth(d x + c) - 4a b d x cosh(d x + c))sinh(d x + c) +--R + +--R 2 2 2 2 +--R (b cosh(d x + c) - b )coth(d x + c) - 2a b d x cosh(d x + c) + 2a b d x +--R + +--R 2 +--R - 2b +--R / +--R 2 2 +--R d sinh(d x + c) + 2d cosh(d x + c)sinh(d x + c) + d cosh(d x + c) - d +--R Type: Expression Integer +--E 253 + +--S 254 of 508 +d0349:= D(m0349,x) +--R +--R +--R (222) +--R 2 2 2 4 +--R (- b coth(d x + c) + b )sinh(d x + c) +--R + +--R 2 2 2 3 +--R (- 4b cosh(d x + c)coth(d x + c) + 4b cosh(d x + c))sinh(d x + c) +--R + +--R 2 2 2 2 2 2 2 +--R ((- 6b cosh(d x + c) + 2b )coth(d x + c) + 6b cosh(d x + c) + 2b ) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 3 2 2 +--R (- 4b cosh(d x + c) + 4b cosh(d x + c))coth(d x + c) +--R + +--R 2 3 2 +--R 4b cosh(d x + c) + 4b cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 2 4 2 2 2 2 +--R (- b cosh(d x + c) + 2b cosh(d x + c) - b )coth(d x + c) +--R + +--R 2 4 2 2 2 +--R b cosh(d x + c) + 2b cosh(d x + c) + b +--R / +--R 4 3 +--R sinh(d x + c) + 4cosh(d x + c)sinh(d x + c) +--R + +--R 2 2 +--R (6cosh(d x + c) - 2)sinh(d x + c) +--R + +--R 3 4 +--R (4cosh(d x + c) - 4cosh(d x + c))sinh(d x + c) + cosh(d x + c) +--R + +--R 2 +--R - 2cosh(d x + c) + 1 +--R Type: Expression Integer +--E 254 + +--S 255 of 508 +t0350:= 1/(4-6*coth(x)) +--R +--R +--R 1 +--R (223) - ------------ +--R 6coth(x) - 4 +--R Type: Expression Integer +--E 255 + +--S 256 of 508 +r0350:= -1/5*x-3/10*log(-3*cosh(x)+2*sinh(x)) +--R +--R +--R - 3log(2sinh(x) - 3cosh(x)) - 2x +--R (224) -------------------------------- +--R 10 +--R Type: Expression Integer +--E 256 + +--S 257 of 508 +a0350:= integrate(t0350,x) +--R +--R +--R 4sinh(x) - 6cosh(x) +--R - 3log(-------------------) + x +--R sinh(x) - cosh(x) +--R (225) ------------------------------- +--R 10 +--R Type: Union(Expression Integer,...) +--E 257 + +--S 258 of 508 +m0350:= a0350-r0350 +--R +--R +--R 4sinh(x) - 6cosh(x) +--R 3log(2sinh(x) - 3cosh(x)) - 3log(-------------------) + 3x +--R sinh(x) - cosh(x) +--R (226) ---------------------------------------------------------- +--R 10 +--R Type: Expression Integer +--E 258 + +--S 259 of 508 +d0350:= D(m0350,x) +--R +--R +--R (227) 0 +--R Type: Expression Integer +--E 259 + +--S 260 of 508 +t0351:= 1/(a+b*coth(c+d*x)) +--R +--R +--R 1 +--R (228) ------------------- +--R b coth(d x + c) + a +--R Type: Expression Integer +--E 260 + +--S 261 of 508 +r0351:= -(-a*d*x+b*log(b*cosh(c+d*x)+a*sinh(c+d*x)))/(a^2-b^2)/d +--R +--R +--R b log(a sinh(d x + c) + b cosh(d x + c)) - a d x +--R (229) ------------------------------------------------ +--R 2 2 +--R (b - a )d +--R Type: Expression Integer +--E 261 + +--S 262 of 508 +a0351:= integrate(t0351,x) +--R +--R +--R - 2a sinh(d x + c) - 2b cosh(d x + c) +--R b log(-------------------------------------) + (- b - a)d x +--R sinh(d x + c) - cosh(d x + c) +--R (230) ----------------------------------------------------------- +--R 2 2 +--R (b - a )d +--R Type: Union(Expression Integer,...) +--E 262 + +--S 263 of 508 +m0351:= a0351-r0351 +--R +--R +--R (231) +--R - b log(a sinh(d x + c) + b cosh(d x + c)) +--R + +--R - 2a sinh(d x + c) - 2b cosh(d x + c) +--R b log(-------------------------------------) - b d x +--R sinh(d x + c) - cosh(d x + c) +--R / +--R 2 2 +--R (b - a )d +--R Type: Expression Integer +--E 263 + +--S 264 of 508 +d0351:= D(m0351,x) +--R +--R +--R (232) 0 +--R Type: Expression Integer +--E 264 + +--S 265 of 508 +t0352:= 1/(1-2*coth(x)^2) +--R +--R +--R 1 +--R (233) - ------------- +--R 2 +--R 2coth(x) - 1 +--R Type: Expression Integer +--E 265 + +--S 266 of 508 +r0352:= -x+2^(1/2)*atanh(2^(1/2)*coth(x)) +--R +--R +--R +-+ +-+ +--R (234) \|2 atanh(\|2 coth(x)) - x +--R Type: Expression Integer +--E 266 + +--S 267 of 508 +a0352:= integrate(t0352,x) +--R +--R +--R (235) +--R +-+ +--R \|2 +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) - 2\|2 + 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R - 2x +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 267 + +--S 268 of 508 +m0352:= a0352-r0352 +--R +--R +--R (236) +--R +-+ +--R \|2 +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) - 2\|2 + 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +-+ +-+ +--R - 2\|2 atanh(\|2 coth(x)) +--R / +--R 2 +--R Type: Expression Integer +--E 268 + +--S 269 of 508 +d0352:= D(m0352,x) +--R +--R +--R (237) +--R +-+ 2 +-+ 4 +--R ((4\|2 - 6)coth(x) + 4\|2 - 6)sinh(x) +--R + +--R +-+ 2 +-+ 3 +--R ((24\|2 - 32)cosh(x)coth(x) + (- 24\|2 + 32)cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 56\|2 + 84)cosh(x) + 8\|2 - 12)coth(x) +--R + +--R +-+ 2 +-+ +--R (40\|2 - 60)cosh(x) + 16\|2 - 24 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 3 +-+ 2 +--R ((24\|2 - 32)cosh(x) + (- 24\|2 + 32)cosh(x))coth(x) +--R + +--R +-+ 3 +-+ +--R (- 24\|2 + 32)cosh(x) + (- 24\|2 + 32)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R ((4\|2 - 6)cosh(x) + (8\|2 - 12)cosh(x) - 12\|2 + 18)coth(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4\|2 - 6)cosh(x) + (16\|2 - 24)cosh(x) + 12\|2 - 18 +--R / +--R +-+ 2 +-+ 4 +--R ((12\|2 - 18)coth(x) - 6\|2 + 9)sinh(x) +--R + +--R +-+ 2 +-+ 3 +--R ((- 24\|2 + 32)cosh(x)coth(x) + (12\|2 - 16)cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((24\|2 - 36)cosh(x) + 40\|2 - 60)coth(x) +--R + +--R +-+ 2 +-+ +--R (- 12\|2 + 18)cosh(x) - 20\|2 + 30 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 3 +-+ 2 +--R ((- 24\|2 + 32)cosh(x) + (- 72\|2 + 96)cosh(x))coth(x) +--R + +--R +-+ 3 +-+ +--R (12\|2 - 16)cosh(x) + (36\|2 - 48)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R ((12\|2 - 18)cosh(x) + (40\|2 - 60)cosh(x) + 12\|2 - 18)coth(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + (- 20\|2 + 30)cosh(x) - 6\|2 + 9 +--R Type: Expression Integer +--E 269 + +--S 270 of 508 +t0353:= 1/(1+coth(x)^3) +--R +--R +--R 1 +--R (238) ------------ +--R 3 +--R coth(x) + 1 +--R Type: Expression Integer +--E 270 + +--S 271 of 508 +r0353:= 1/2*x-2/9*atan(1/3*(1-2*coth(x))*3^(1/2))*3^(1/2)-1/(6+6*coth(x)) +--R +--R +--R (239) +--R +-+ +-+ +--R +-+ +-+ 2\|3 coth(x) - \|3 +--R (4\|3 coth(x) + 4\|3 )atan(-------------------) + 9x coth(x) + 9x - 3 +--R 3 +--R --------------------------------------------------------------------- +--R 18coth(x) + 18 +--R Type: Expression Integer +--E 271 + +--S 272 of 508 +a0353:= integrate(t0353,x) +--R +--R +--R (240) +--R +-+ +-+ +--R 2 2 \|3 sinh(x) + \|3 cosh(x) +--R (8sinh(x) + 16cosh(x)sinh(x) + 8cosh(x) )atan(-------------------------) +--R 3sinh(x) - 3cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 6x\|3 sinh(x) + 12x\|3 cosh(x)sinh(x) + 6x\|3 cosh(x) + \|3 +--R / +--R +-+ 2 +-+ +-+ 2 +--R 12\|3 sinh(x) + 24\|3 cosh(x)sinh(x) + 12\|3 cosh(x) +--R Type: Union(Expression Integer,...) +--E 272 + +--S 273 of 508 +m0353:= a0353-r0353 +--R +--R +--R (241) +--R 2 +--R (- 8coth(x) - 8)sinh(x) + (- 16cosh(x)coth(x) - 16cosh(x))sinh(x) +--R + +--R 2 2 +--R - 8cosh(x) coth(x) - 8cosh(x) +--R * +--R +-+ +-+ +--R 2\|3 coth(x) - \|3 +--R atan(-------------------) +--R 3 +--R + +--R 2 +--R (8coth(x) + 8)sinh(x) + (16cosh(x)coth(x) + 16cosh(x))sinh(x) +--R + +--R 2 2 +--R 8cosh(x) coth(x) + 8cosh(x) +--R * +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R atan(-------------------------) +--R 3sinh(x) - 3cosh(x) +--R + +--R +-+ 2 +-+ +-+ +-+ 2 +-+ +--R 2\|3 sinh(x) + 4\|3 cosh(x)sinh(x) + \|3 coth(x) + 2\|3 cosh(x) + \|3 +--R / +--R +-+ +-+ 2 +--R (12\|3 coth(x) + 12\|3 )sinh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (24\|3 cosh(x)coth(x) + 24\|3 cosh(x))sinh(x) + 12\|3 cosh(x) coth(x) +--R + +--R +-+ 2 +--R 12\|3 cosh(x) +--R Type: Expression Integer +--E 273 + +--S 274 of 508 +d0353:= D(m0353,x) +--R +--R +--R (242) +--R 3 4 3 3 +--R (5coth(x) - 1)sinh(x) + (7cosh(x)coth(x) + cosh(x))sinh(x) +--R + +--R 3 2 +--R (- coth(x) - 1)sinh(x) +--R + +--R 3 3 3 +--R ((- cosh(x) + cosh(x))coth(x) - 7cosh(x) + cosh(x))sinh(x) +--R + +--R 4 2 3 4 2 +--R (cosh(x) - cosh(x) )coth(x) - 5cosh(x) - cosh(x) +--R / +--R 3 4 3 3 +--R (6coth(x) + 6)sinh(x) + (6cosh(x)coth(x) + 6cosh(x))sinh(x) +--R + +--R 3 3 3 4 3 4 +--R (6cosh(x) coth(x) + 6cosh(x) )sinh(x) + 6cosh(x) coth(x) + 6cosh(x) +--R Type: Expression Integer +--E 274 + +--S 275 of 508 +t0354:= (1+coth(x)^2)^(1/2) +--R +--R +--R +------------+ +--R | 2 +--R (243) \|coth(x) + 1 +--R Type: Expression Integer +--E 275 + +--S 276 of 508 +r0354:= -acsch(tanh(x))+2^(1/2)*atanh(2^(1/2)*coth(x)/(1+coth(x)^2)^(1/2)) +--R +--R +--R +-+ +--R +-+ \|2 coth(x) +--R (244) \|2 atanh(---------------) - acsch(tanh(x)) +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R Type: Expression Integer +--E 276 + +--S 277 of 508 +a0354:= integrate(t0354,x) +--R +--R +--R (245) +--R - +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 2)sinh(x) + (4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- + 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R 4cosh(x)sinh(x) + 2cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 2)sinh(x) + (- 4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 277 + +--S 278 of 508 +m0354:= a0354-r0354 +--R +--R +--R (246) +--R - +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 2)sinh(x) + (4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- + 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R 4cosh(x)sinh(x) + 2cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 2)sinh(x) + (- 4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-+ +--R +-+ \|2 coth(x) +--R - 2\|2 atanh(---------------) + 2acsch(tanh(x)) +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R / +--R 2 +--R Type: Expression Integer +--E 278 + +--S 279 of 508 +d0354:= D(m0354,x) +--R +--R +--R (247) +--R +-+ 14 +-+ 13 +--R - \|2 sinh(x) - 2\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 12 +--R (5\|2 cosh(x) + 9\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 11 +--R (12\|2 cosh(x) + 12\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 10 +--R (- 9\|2 cosh(x) - 30\|2 cosh(x) + 5\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 9 +--R (- 30\|2 cosh(x) - 36\|2 cosh(x) + 2\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (5\|2 cosh(x) + 39\|2 cosh(x) - 15\|2 cosh(x) - 9\|2 ) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 40\|2 cosh(x) + 24\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ +--R - 12\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 5\|2 cosh(x) - 36\|2 cosh(x) + 10\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 12\|2 cosh(x) + 24\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 30\|2 cosh(x) + 24\|2 cosh(x) + 12\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 12\|2 cosh(x) - 64\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 9\|2 cosh(x) + 39\|2 cosh(x) + 10\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R - 6\|2 cosh(x) + 104\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 12\|2 cosh(x) - 36\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R 12\|2 cosh(x) - 128\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 5\|2 cosh(x) - 30\|2 cosh(x) - 15\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 12\|2 cosh(x) + 104\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 2\|2 cosh(x) + 12\|2 cosh(x) + 2\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 12\|2 cosh(x) - 64\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - \|2 cosh(x) + 9\|2 cosh(x) + 5\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 9\|2 cosh(x) + 24\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 14 13 2 12 +--R 4sinh(x) + 16cosh(x)sinh(x) + (12cosh(x) - 24)sinh(x) +--R + +--R 3 11 +--R (- 32cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 60cosh(x) + 48cosh(x) - 16)sinh(x) +--R + +--R 5 3 9 +--R (- 16cosh(x) + 144cosh(x) - 32cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (44cosh(x) + 24cosh(x) - 16cosh(x) + 24)sinh(x) +--R + +--R 7 5 7 +--R (64cosh(x) - 96cosh(x) + 48cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (44cosh(x) - 96cosh(x) + 32cosh(x) - 68)sinh(x) +--R + +--R 9 7 5 3 +--R - 16cosh(x) - 96cosh(x) + 64cosh(x) - 48cosh(x) +--R + +--R 112cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 60cosh(x) + 24cosh(x) + 32cosh(x) - 48cosh(x) +--R + +--R 2 +--R - 220cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 +--R (- 32cosh(x) + 144cosh(x) - 48cosh(x) + 224cosh(x) ) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 4 +--R (12cosh(x) + 48cosh(x) - 16cosh(x) - 220cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 16cosh(x) - 48cosh(x) - 32cosh(x) + 48cosh(x) +--R + +--R 5 +--R 112cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 4cosh(x) - 24cosh(x) - 16cosh(x) + 24cosh(x) +--R + +--R 6 +--R - 68cosh(x) +--R * +--R tanh(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R + +--R 14 13 2 12 +--R - 4sinh(x) - 16cosh(x)sinh(x) + (- 12cosh(x) + 4)sinh(x) +--R + +--R 3 11 +--R (32cosh(x) + 8cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (60cosh(x) - 8cosh(x) + 12)sinh(x) +--R + +--R 5 3 9 +--R (16cosh(x) - 24cosh(x) + 16cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 44cosh(x) - 4cosh(x) - 4cosh(x) + 36)sinh(x) +--R + +--R 7 5 7 +--R (- 64cosh(x) + 16cosh(x) - 56cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (- 44cosh(x) + 16cosh(x) - 8cosh(x) - 48)sinh(x) +--R + +--R 9 7 5 3 +--R 16cosh(x) + 16cosh(x) - 32cosh(x) + 56cosh(x) +--R + +--R 128cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 60cosh(x) - 4cosh(x) - 8cosh(x) - 72cosh(x) +--R + +--R 2 +--R - 208cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (32cosh(x) - 24cosh(x) + 56cosh(x) + 256cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (- 12cosh(x) - 8cosh(x) - 4cosh(x) - 208cosh(x) )sinh(x) +--R + +--R 13 11 9 7 +--R - 16cosh(x) + 8cosh(x) + 16cosh(x) - 56cosh(x) +--R + +--R 5 +--R 128cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - 4cosh(x) + 4cosh(x) + 12cosh(x) + 36cosh(x) - 48cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 16 +-+ 15 +--R 2\|2 sinh(x) + 12\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (24\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (4\|2 cosh(x) + 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (- 56\|2 cosh(x) + 12\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (- 84\|2 cosh(x) - 32\|2 cosh(x) - 32\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 24\|2 cosh(x) - 60\|2 cosh(x) - 48\|2 cosh(x) - 16\|2 ) +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 68\|2 cosh(x) - 16\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ +--R - 32\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 108\|2 cosh(x) + 44\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 16\|2 cosh(x) - 50\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 68\|2 cosh(x) + 64\|2 cosh(x) + 64\|2 cosh(x) +--R + +--R +-+ +--R 36\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 24\|2 cosh(x) + 44\|2 cosh(x) + 96\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 32\|2 cosh(x) + 32\|2 cosh(x) + 68\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 84\|2 cosh(x) - 16\|2 cosh(x) + 64\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 64\|2 cosh(x) + 28\|2 cosh(x) - 112\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 56\|2 cosh(x) - 60\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 32\|2 cosh(x) + 164\|2 cosh(x) + 220\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 4\|2 cosh(x) - 32\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R 28\|2 cosh(x) - 224\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 24\|2 cosh(x) + 12\|2 cosh(x) - 48\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 16\|2 cosh(x) + 32\|2 cosh(x) + 220\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 12\|2 cosh(x) + 16\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 32\|2 cosh(x) + 36\|2 cosh(x) - 112\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 2\|2 cosh(x) + 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 16\|2 cosh(x) - 50\|2 cosh(x) + 68\|2 cosh(x) +--R * +--R tanh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R 14 13 2 12 +--R 2sinh(x) + 8cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 11 +--R (- 16cosh(x) - 4cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 30cosh(x) + 4cosh(x) - 6)sinh(x) +--R + +--R 5 3 9 +--R (- 8cosh(x) + 12cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (22cosh(x) + 2cosh(x) + 2cosh(x) - 18)sinh(x) +--R + +--R 7 5 7 +--R (32cosh(x) - 8cosh(x) + 28cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (22cosh(x) - 8cosh(x) + 4cosh(x) + 24)sinh(x) +--R + +--R 9 7 5 3 +--R - 8cosh(x) - 8cosh(x) + 16cosh(x) - 28cosh(x) +--R + +--R - 64cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 30cosh(x) + 2cosh(x) + 4cosh(x) + 36cosh(x) +--R + +--R 2 +--R 104cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 +--R (- 16cosh(x) + 12cosh(x) - 28cosh(x) - 128cosh(x) ) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 4 2 +--R (6cosh(x) + 4cosh(x) + 2cosh(x) + 104cosh(x) )sinh(x) +--R + +--R 13 11 9 7 +--R 8cosh(x) - 4cosh(x) - 8cosh(x) + 28cosh(x) +--R + +--R 5 +--R - 64cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R 2cosh(x) - 2cosh(x) - 6cosh(x) - 18cosh(x) + 24cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 14 13 2 12 +--R - 2sinh(x) - 8cosh(x)sinh(x) + (- 6cosh(x) + 2)sinh(x) +--R + +--R 3 11 +--R (16cosh(x) + 4cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (30cosh(x) - 4cosh(x) + 6)sinh(x) +--R + +--R 5 3 9 +--R (8cosh(x) - 12cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 22cosh(x) - 2cosh(x) - 2cosh(x) + 18)sinh(x) +--R + +--R 7 5 7 +--R (- 32cosh(x) + 8cosh(x) - 28cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (- 22cosh(x) + 8cosh(x) - 4cosh(x) - 24)sinh(x) +--R + +--R 9 7 5 3 +--R (8cosh(x) + 8cosh(x) - 16cosh(x) + 28cosh(x) + 64cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 30cosh(x) - 2cosh(x) - 4cosh(x) - 36cosh(x) +--R + +--R 2 +--R - 104cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (16cosh(x) - 12cosh(x) + 28cosh(x) + 128cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (- 6cosh(x) - 4cosh(x) - 2cosh(x) - 104cosh(x) )sinh(x) +--R + +--R 13 11 9 7 +--R - 8cosh(x) + 4cosh(x) + 8cosh(x) - 28cosh(x) +--R + +--R 5 +--R 64cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - 2cosh(x) + 2cosh(x) + 6cosh(x) + 18cosh(x) - 24cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 16 +-+ 15 +--R - \|2 sinh(x) - 6\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (- 12\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (- 2\|2 cosh(x) - 8\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (28\|2 cosh(x) - 6\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (42\|2 cosh(x) + 16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (12\|2 cosh(x) + 30\|2 cosh(x) + 24\|2 cosh(x) + 8\|2 ) +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 34\|2 cosh(x) + 8\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ +--R 16\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 54\|2 cosh(x) - 22\|2 cosh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 8\|2 cosh(x) + 25\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 34\|2 cosh(x) - 32\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ +--R - 18\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 12\|2 cosh(x) - 22\|2 cosh(x) - 48\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 16\|2 cosh(x) - 16\|2 cosh(x) - 34\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 42\|2 cosh(x) + 8\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 32\|2 cosh(x) - 14\|2 cosh(x) + 56\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 28\|2 cosh(x) + 30\|2 cosh(x) - 4\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 16\|2 cosh(x) - 82\|2 cosh(x) - 110\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 2\|2 cosh(x) + 16\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R - 14\|2 cosh(x) + 112\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 12\|2 cosh(x) - 6\|2 cosh(x) + 24\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 8\|2 cosh(x) - 16\|2 cosh(x) - 110\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 6\|2 cosh(x) - 8\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 16\|2 cosh(x) - 18\|2 cosh(x) + 56\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - \|2 cosh(x) - 2\|2 cosh(x) + 4\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 8\|2 cosh(x) + 25\|2 cosh(x) - 34\|2 cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 16 +-+ 15 +--R \|2 sinh(x) + 6\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (12\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (2\|2 cosh(x) + 8\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (- 28\|2 cosh(x) + 6\|2 cosh(x) - 4\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (- 42\|2 cosh(x) - 16\|2 cosh(x) - 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 10 +--R (- 12\|2 cosh(x) - 30\|2 cosh(x) - 24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (34\|2 cosh(x) - 8\|2 cosh(x) - 16\|2 cosh(x) - 16\|2 cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 54\|2 cosh(x) + 22\|2 cosh(x) + 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ +--R - 25\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +-+ +--R (34\|2 cosh(x) + 32\|2 cosh(x) + 32\|2 cosh(x) + 18\|2 cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 12\|2 cosh(x) + 22\|2 cosh(x) + 48\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 16\|2 cosh(x) + 16\|2 cosh(x) + 34\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 42\|2 cosh(x) - 8\|2 cosh(x) + 32\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 32\|2 cosh(x) + 14\|2 cosh(x) - 56\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 28\|2 cosh(x) - 30\|2 cosh(x) + 4\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 16\|2 cosh(x) + 82\|2 cosh(x) + 110\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 2\|2 cosh(x) - 16\|2 cosh(x) - 16\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R 14\|2 cosh(x) - 112\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 12\|2 cosh(x) + 6\|2 cosh(x) - 24\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 8\|2 cosh(x) + 16\|2 cosh(x) + 110\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 6\|2 cosh(x) + 8\|2 cosh(x) - 16\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 16\|2 cosh(x) + 18\|2 cosh(x) - 56\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +-+ 10 +--R \|2 cosh(x) + 2\|2 cosh(x) - 4\|2 cosh(x) - 8\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 25\|2 cosh(x) + 34\|2 cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R / +--R 14 13 2 12 +--R 2sinh(x) + 8cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 11 +--R (- 16cosh(x) - 4cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 30cosh(x) + 4cosh(x) - 6)sinh(x) +--R + +--R 5 3 9 +--R (- 8cosh(x) + 12cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (22cosh(x) + 2cosh(x) + 2cosh(x) - 18)sinh(x) +--R + +--R 7 5 7 +--R (32cosh(x) - 8cosh(x) + 28cosh(x))sinh(x) +--R + +--R 8 6 4 6 +--R (22cosh(x) - 8cosh(x) + 4cosh(x) + 24)sinh(x) +--R + +--R 9 7 5 3 +--R (- 8cosh(x) - 8cosh(x) + 16cosh(x) - 28cosh(x) - 64cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 30cosh(x) + 2cosh(x) + 4cosh(x) + 36cosh(x) +--R + +--R 2 +--R 104cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 5 3 3 +--R (- 16cosh(x) + 12cosh(x) - 28cosh(x) - 128cosh(x) )sinh(x) +--R + +--R 12 10 8 4 2 +--R (6cosh(x) + 4cosh(x) + 2cosh(x) + 104cosh(x) )sinh(x) +--R + +--R 13 11 9 7 5 +--R (8cosh(x) - 4cosh(x) - 8cosh(x) + 28cosh(x) - 64cosh(x) ) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R 2cosh(x) - 2cosh(x) - 6cosh(x) - 18cosh(x) + 24cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 16 +-+ 15 +--R - \|2 sinh(x) - 6\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 14 +--R (- 12\|2 cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 13 +--R (- 2\|2 cosh(x) - 8\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 12 +--R (28\|2 cosh(x) - 6\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 11 +--R (42\|2 cosh(x) + 16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 10 +--R (12\|2 cosh(x) + 30\|2 cosh(x) + 24\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 34\|2 cosh(x) + 8\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ +--R 16\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 54\|2 cosh(x) - 22\|2 cosh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 8\|2 cosh(x) + 25\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 34\|2 cosh(x) - 32\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ +--R - 18\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 12\|2 cosh(x) - 22\|2 cosh(x) - 48\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 16\|2 cosh(x) - 16\|2 cosh(x) - 34\|2 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 42\|2 cosh(x) + 8\|2 cosh(x) - 32\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 32\|2 cosh(x) - 14\|2 cosh(x) + 56\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 28\|2 cosh(x) + 30\|2 cosh(x) - 4\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 16\|2 cosh(x) - 82\|2 cosh(x) - 110\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 2\|2 cosh(x) + 16\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R - 14\|2 cosh(x) + 112\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 12\|2 cosh(x) - 6\|2 cosh(x) + 24\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 8\|2 cosh(x) - 16\|2 cosh(x) - 110\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 6\|2 cosh(x) - 8\|2 cosh(x) + 16\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 16\|2 cosh(x) - 18\|2 cosh(x) + 56\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +-+ 10 +--R - \|2 cosh(x) - 2\|2 cosh(x) + 4\|2 cosh(x) + 8\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R 25\|2 cosh(x) - 34\|2 cosh(x) +--R * +--R tanh(x) +--R * +--R +------------+ +------------+ +--R | 2 | 2 +--R \|coth(x) + 1 \|tanh(x) + 1 +--R Type: Expression Integer +--E 279 + +--S 280 of 508 +t0355:= (-1+coth(x)^2)^(1/2) +--R +--R +--R +------------+ +--R | 2 +--R (248) \|coth(x) - 1 +--R Type: Expression Integer +--E 280 + +--S 281 of 508 +r0355:= -acoth(cosh(x))*csgn(1/sinh(x)) +--R +--R There are no library operations named csgn +--R Use HyperDoc Browse or issue +--R )what op csgn +--R to learn if there is any operation containing " csgn " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named csgn +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 281 + +--S 282 of 508 +a0355:= integrate(t0355,x) +--R +--R +--R (249) - log(sinh(x) + cosh(x) + 1) + log(sinh(x) + cosh(x) - 1) +--R Type: Union(Expression Integer,...) +--E 282 + +--S 283 of 508 +--m0355:= a0355-r0355 +--E 283 + +--S 284 of 508 +--d0355:= D(m0355,x) +--E 284 + +--S 285 of 508 +t0356:= (-1-coth(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (250) \|- coth(x) - 1 +--R Type: Expression Integer +--E 285 + +--S 286 of 508 +r0356:= -2^(1/2)*atan(2^(1/2)*coth(x)/(-1-coth(x)^2)^(1/2))-atan((-1-coth(x)^2)^(1/2)*tanh(x)) +--R +--R +--R +--------------+ +-+ +--R | 2 +-+ \|2 coth(x) +--R (251) - atan(tanh(x)\|- coth(x) - 1 ) - \|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R Type: Expression Integer +--E 286 + +--S 287 of 508 +a0356:= integrate(t0356,x) +--R +--R +--R (252) +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 - 2)(%e ) + 2 +--R - 2\|- 1 log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 - 2(%e ) + 2 +--R \|- 2 log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 - 2)(%e ) + 2 +--R 2\|- 1 log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R - +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 287 + +--S 288 of 508 +m0356:= a0356-r0356 +--R +--R +--R (253) +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 - 2)(%e ) + 2 +--R - 2\|- 1 log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 - 2(%e ) + 2 +--R \|- 2 log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R +---+ \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 - 2)(%e ) + 2 +--R 2\|- 1 log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R - +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +--------------+ +-+ +--R | 2 +-+ \|2 coth(x) +--R 2atan(tanh(x)\|- coth(x) - 1 ) + 2\|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R / +--R 2 +--R Type: Expression Integer +--E 288 + +--S 289 of 508 +d0356:= D(m0356,x) +--R +--R +--R (254) +--R +---+ 2 +---+ x 4 +---+ 2 +--R (- 3\|- 2 coth(x) - 3\|- 2 )(%e ) - 4\|- 2 coth(x) +--R + +--R +---+ +--R - 4\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ x 4 +---+ +--R 3\|- 2 (%e ) + 4\|- 2 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R 2 x 8 2 x 4 2 +--R (- 2coth(x) - 2)(%e ) + (- 10coth(x) - 10)(%e ) - 8coth(x) +--R + +--R - 8 +--R * +--R 2 +--R tanh(x) +--R + +--R x 8 x 4 +--R 2(%e ) + 10(%e ) + 8 +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R + +--R 2 x 6 2 x 4 +--R (coth(x) + 1)(%e ) + (- coth(x) - 1)(%e ) +--R + +--R 2 x 2 2 +--R (4coth(x) + 4)(%e ) - 4coth(x) - 4 +--R * +--R 2 +--R tanh(x) +--R + +--R 3 x 6 3 x 4 +--R (- coth(x) + coth(x))(%e ) + (coth(x) - coth(x))(%e ) +--R + +--R 3 x 2 3 +--R (- 4coth(x) + 4coth(x))(%e ) + 4coth(x) - 4coth(x) +--R * +--R tanh(x) +--R + +--R 2 x 6 2 x 4 2 x 2 +--R (coth(x) - 1)(%e ) + (- coth(x) + 1)(%e ) + (4coth(x) - 4)(%e ) +--R + +--R 2 +--R - 4coth(x) + 4 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R +---+ 2 +---+ x 6 +--R (- 3\|- 2 coth(x) - 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (3\|- 2 coth(x) + 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 4\|- 2 coth(x) - 4\|- 2 )(%e ) + 4\|- 2 coth(x) + 4\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ 3 +---+ x 6 +--R (3\|- 2 coth(x) - 3\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 4 +--R (- 3\|- 2 coth(x) + 3\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 2 +---+ 3 +--R (4\|- 2 coth(x) - 4\|- 2 coth(x))(%e ) - 4\|- 2 coth(x) +--R + +--R +---+ +--R 4\|- 2 coth(x) +--R * +--R tanh(x) +--R + +--R +---+ 2 +---+ x 6 +---+ 2 +---+ x 4 +--R (- 3\|- 2 coth(x) + 3\|- 2 )(%e ) + (3\|- 2 coth(x) - 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 4\|- 2 coth(x) + 4\|- 2 )(%e ) + 4\|- 2 coth(x) - 4\|- 2 +--R / +--R 2 x 6 2 x 4 +--R (coth(x) + 1)(%e ) + (- coth(x) - 1)(%e ) +--R + +--R 2 x 2 2 +--R (4coth(x) + 4)(%e ) - 4coth(x) - 4 +--R * +--R 2 +--R tanh(x) +--R + +--R x 6 x 4 x 2 +--R - (%e ) + (%e ) - 4(%e ) + 4 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R +---+ 2 +---+ x 6 +--R (- 3\|- 2 coth(x) - 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (3\|- 2 coth(x) + 3\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +---+ +--R (- 4\|- 2 coth(x) - 4\|- 2 )(%e ) + 4\|- 2 coth(x) + 4\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ x 6 +---+ x 4 +---+ x 2 +---+ +--R 3\|- 2 (%e ) - 3\|- 2 (%e ) + 4\|- 2 (%e ) - 4\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R Type: Expression Integer +--E 289 + +--S 290 of 508 +t0357:= (a+b*coth(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (255) \|b coth(x) + a +--R Type: Expression Integer +--E 290 + +--S 291 of 508 +r0357:= (a+b)^(1/2)*atanh((a+b)^(1/2)*coth(x)/(a+b*coth(x)^2)^(1/2))-b^(1/2)*atanh((a+b*coth(x)^2)^(1/2)*tanh(x)/b^(1/2)) +--R +--R +--R (256) +--R +--------------+ +--R | 2 +-----+ +--R +-+ tanh(x)\|b coth(x) + a +-----+ coth(x)\|b + a +--R - \|b atanh(------------------------) + \|b + a atanh(-----------------) +--R +-+ +--------------+ +--R \|b | 2 +--R \|b coth(x) + a +--R Type: Expression Integer +--E 291 + +--S 292 of 508 +a0357:= integrate(t0357,x) +--R +--R +--R (257) +--R [ +--R (b + a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +-----+ +--R 2\|b \|b + a +--R * +--R log +--R 4 3 +--R 2a sinh(x) + 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 +--R (8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) +--R + +--R 4 2 +--R 2a cosh(x) + (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (4a b + 4a )cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (2a b + 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (b - 2a b - a )sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b - 30a b - 15a )cosh(x) + b + 2a b + 3a )sinh(x) +--R + +--R 2 2 3 +--R (20b - 40a b - 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (15b - 30a b - 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) + b - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (4b + 8a b + 12a )cosh(x) + (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b - 2a b - a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) + 2b - 2a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (8b - 8a b - 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (30a b + 30a )cosh(x) + (12b - 12a b - 24a )cosh(x) +--R + +--R 2 2 +--R 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (8b - 8a b - 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (2b - 2a b - 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (2a b + 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (- b - a )sinh(x) + (- 6b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 15b - 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 20b - 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 15b - 15a )cosh(x) + (- 6b + 18a )cosh(x) + b +--R + +--R 2 +--R - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 6b - 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b - a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R (- b - a) +--R * +--R log +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R / +--R +-----+ +--R 2\|b + a +--R , +--R +--R (b + a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R (- b - a) +--R * +--R log +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R - +--R +---+ +-----+ +--R 4\|- b \|b + a +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R / +--R +-----+ +--R 2\|b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 292 + +--S 293 of 508 +m0357a:= a0357.1-r0357 +--R +--R +--R (258) +--R (b + a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b +--R + +--R - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +-----+ +--R 2\|b \|b + a +--R * +--R log +--R 4 3 +--R 2a sinh(x) + 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 4 +--R (8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) + 2a cosh(x) +--R + +--R 2 +--R (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (2a b + 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (b - 2a b - a )sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b - 30a b - 15a )cosh(x) + b + 2a b + 3a )sinh(x) +--R + +--R 2 2 3 +--R (20b - 40a b - 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (15b - 30a b - 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) + b - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (4b + 8a b + 12a )cosh(x) + (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b - 2a b - a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) + 2b - 2a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (8b - 8a b - 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (30a b + 30a )cosh(x) + (12b - 12a b - 24a )cosh(x) +--R + +--R 2 2 +--R 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (8b - 8a b - 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (2b - 2a b - 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (2a b + 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (- b - a )sinh(x) + (- 6b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 15b - 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 20b - 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 15b - 15a )cosh(x) + (- 6b + 18a )cosh(x) + b +--R + +--R 2 +--R - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 6b - 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b - a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R (- b - a) +--R * +--R log +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +--------------+ +--R | 2 +--R +-+ +-----+ tanh(x)\|b coth(x) + a +--R 2\|b \|b + a atanh(------------------------) +--R +-+ +--R \|b +--R + +--R +-----+ +--R coth(x)\|b + a +--R (- 2b - 2a)atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R / +--R +-----+ +--R 2\|b + a +--R Type: Expression Integer +--E 293 + +--S 294 of 508 +--d0357a:= D(m0357a,x) +--E 294 + +--S 295 of 508 +m0357b:= a0357.2-r0357 +--R +--R +--R (259) +--R (b + a) +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b +--R + +--R - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R (- b - a) +--R * +--R log +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +--------------+ +--R | 2 +--R +-+ +-----+ tanh(x)\|b coth(x) + a +--R 2\|b \|b + a atanh(------------------------) +--R +-+ +--R \|b +--R + +--R +-----+ +--R coth(x)\|b + a +--R (- 2b - 2a)atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R - +--R +---+ +-----+ +--R 4\|- b \|b + a +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R / +--R +-----+ +--R 2\|b + a +--R Type: Expression Integer +--E 295 + +--S 296 of 508 +d0357b:= D(m0357b,x) +--R +--R +--R (260) +--R 5 4 2 3 3 2 4 2 4 +--R (b - 4a b - 10a b - 4a b + a b)coth(x) + a b +--R + +--R 2 3 3 2 4 5 +--R - 4a b - 10a b - 4a b + a +--R * +--R 12 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (4b - 16a b - 40a b - 16a b + 4a b)cosh(x)coth(x) +--R + +--R 4 2 3 3 2 4 5 +--R (4a b - 16a b - 40a b - 16a b + 4a )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (2b - 8a b - 20a b - 8a b + 2a b)cosh(x) + 8b +--R + +--R 4 2 3 3 2 4 +--R 36a b + 44a b + 12a b - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 2 4 +--R (2a b - 8a b - 20a b - 8a b + 2a )cosh(x) + 8a b +--R + +--R 2 3 3 2 4 5 +--R 36a b + 44a b + 12a b - 4a +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 12b + 48a b + 120a b + 48a b - 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (16b + 72a b + 88a b + 24a b - 8a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 12a b + 48a b + 120a b + 48a b - 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (16a b + 72a b + 88a b + 24a b - 8a )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 17b + 68a b + 170a b + 68a b - 17a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 24b - 108a b - 132a b - 36a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 30b + 28a b - 16a b + 4a b + 18a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 17a b + 68a b + 170a b + 68a b - 17a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 24a b - 108a b - 132a b - 36a b + 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R 30a b + 28a b - 16a b + 4a b + 18a +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (8b - 32a b - 80a b - 32a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 64b - 288a b - 352a b - 96a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (24b + 32a b + 16a b + 32a b + 24a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (8a b - 32a b - 80a b - 32a b + 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 64a b - 288a b - 352a b - 96a b + 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (24a b + 32a b + 16a b + 32a b + 24a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (28b - 112a b - 280a b - 112a b + 28a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (16b + 72a b + 88a b + 24a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 72b - 48a b + 96a b + 48a b - 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 36b + 4a b - 44a b - 52a b - 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (28a b - 112a b - 280a b - 112a b + 28a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (16a b + 72a b + 88a b + 24a b - 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 72a b - 48a b + 96a b + 48a b - 24a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R 36a b + 4a b - 44a b - 52a b - 40a +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (8b - 32a b - 80a b - 32a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (96b + 432a b + 528a b + 144a b - 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 24b - 32a b - 16a b - 32a b - 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (8b - 120a b - 88a b + 24a b - 16a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 7 +--R (8a b - 32a b - 80a b - 32a b + 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (96a b + 432a b + 528a b + 144a b - 48a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 24a b - 32a b - 16a b - 32a b - 24a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (8a b - 120a b - 88a b + 24a b - 16a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 17b + 68a b + 170a b + 68a b - 17a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (16b + 72a b + 88a b + 24a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (84b + 40a b - 160a b - 104a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 36b - 4a b + 44a b + 52a b + 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 29b + 56a b + 66a b + 80a b + 41a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (- 17a b + 68a b + 170a b + 68a b - 17a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (16a b + 72a b + 88a b + 24a b - 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (84a b + 40a b - 160a b - 104a b + 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 36a b - 4a b + 44a b + 52a b + 40a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R 29a b + 56a b + 66a b + 80a b + 41a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (- 12b + 48a b + 120a b + 48a b - 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 64b - 288a b - 352a b - 96a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 24b - 32a b - 16a b - 32a b - 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 16b + 240a b + 176a b - 48a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 28b - 112a b - 168a b - 112a b - 28a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 9 +--R (- 12a b + 48a b + 120a b + 48a b - 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 7 +--R (- 64a b - 288a b - 352a b - 96a b + 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 24a b - 32a b - 16a b - 32a b - 24a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 16a b + 240a b + 176a b - 48a b + 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 28a b - 112a b - 168a b - 112a b - 28a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (2b - 8a b - 20a b - 8a b + 2a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 24b - 108a b - 132a b - 36a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 72b - 48a b + 96a b + 48a b - 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 36b - 4a b + 44a b + 52a b + 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (14b + 176a b + 300a b + 128a b - 10a b)cosh(x) +--R + +--R 5 4 3 2 4 +--R 20b + 40a b - 40a b - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 10 +--R (2a b - 8a b - 20a b - 8a b + 2a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (- 24a b - 108a b - 132a b - 36a b + 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (- 72a b - 48a b + 96a b + 48a b - 24a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 36a b - 4a b + 44a b + 52a b + 40a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (14a b + 176a b + 300a b + 128a b - 10a )cosh(x) +--R + +--R 4 2 3 4 5 +--R 20a b + 40a b - 40a b - 20a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 11 +--R (4b - 16a b - 40a b - 16a b + 4a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (16b + 72a b + 88a b + 24a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (24b + 32a b + 16a b + 32a b + 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (8b - 120a b - 88a b + 24a b - 16a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 28b - 112a b - 168a b - 112a b - 28a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 3 2 4 +--R (- 24b - 48a b + 48a b + 24a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 11 +--R (4a b - 16a b - 40a b - 16a b + 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 9 +--R (16a b + 72a b + 88a b + 24a b - 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 7 +--R (24a b + 32a b + 16a b + 32a b + 24a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (8a b - 120a b - 88a b + 24a b - 16a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 28a b - 112a b - 168a b - 112a b - 28a )cosh(x) +--R + +--R 4 2 3 4 5 +--R (- 24a b - 48a b + 48a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 12 +--R (b - 4a b - 10a b - 4a b + a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (8b + 36a b + 44a b + 12a b - 4a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (30b + 28a b - 16a b + 4a b + 18a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (36b + 4a b - 44a b - 52a b - 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (29b + 56a b + 66a b + 80a b + 41a b)cosh(x) +--R + +--R 5 4 3 2 4 2 5 2 3 +--R (20b + 40a b - 40a b - 20a b)cosh(x) + 4b - 8a b +--R + +--R 4 +--R 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 12 +--R (a b - 4a b - 10a b - 4a b + a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 10 +--R (8a b + 36a b + 44a b + 12a b - 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (30a b + 28a b - 16a b + 4a b + 18a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (36a b + 4a b - 44a b - 52a b - 40a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (29a b + 56a b + 66a b + 80a b + 41a )cosh(x) +--R + +--R 4 2 3 4 5 2 4 3 2 5 +--R (20a b + 40a b - 40a b - 20a )cosh(x) + 4a b - 8a b + 4a +--R * +--R 2 +--R tanh(x) +--R + +--R 5 4 2 3 3 2 4 12 +--R (- b + 4a b + 10a b + 4a b - a b)sinh(x) +--R + +--R 5 4 2 3 3 2 4 11 +--R (- 4b + 16a b + 40a b + 16a b - 4a b)cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (- 2b + 8a b + 20a b + 8a b - 2a b)cosh(x) - 8b +--R + +--R 4 2 3 3 2 4 +--R - 36a b - 44a b - 12a b + 4a b +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (12b - 48a b - 120a b - 48a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 16b - 72a b - 88a b - 24a b + 8a b)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (17b - 68a b - 170a b - 68a b + 17a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (24b + 108a b + 132a b + 36a b - 12a b)cosh(x) - 30b +--R + +--R 4 2 3 3 2 4 +--R - 28a b + 16a b - 4a b - 18a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 8b + 32a b + 80a b + 32a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (64b + 288a b + 352a b + 96a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 24b - 32a b - 16a b - 32a b - 24a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 28b + 112a b + 280a b + 112a b - 28a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 16b - 72a b - 88a b - 24a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (72b + 48a b - 96a b - 48a b + 24a b)cosh(x) - 36b +--R + +--R 4 2 3 3 2 4 +--R - 4a b + 44a b + 52a b + 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 8b + 32a b + 80a b + 32a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 96b - 432a b - 528a b - 144a b + 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (24b + 32a b + 16a b + 32a b + 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 8b + 120a b + 88a b - 24a b + 16a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (17b - 68a b - 170a b - 68a b + 17a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 16b - 72a b - 88a b - 24a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 84b - 40a b + 160a b + 104a b - 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (36b + 4a b - 44a b - 52a b - 40a b)cosh(x) - 29b +--R + +--R 4 2 3 3 2 4 +--R - 56a b - 66a b - 80a b - 41a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (12b - 48a b - 120a b - 48a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (64b + 288a b + 352a b + 96a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (24b + 32a b + 16a b + 32a b + 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (16b - 240a b - 176a b + 48a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (28b + 112a b + 168a b + 112a b + 28a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (- 2b + 8a b + 20a b + 8a b - 2a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (24b + 108a b + 132a b + 36a b - 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (72b + 48a b - 96a b - 48a b + 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (36b + 4a b - 44a b - 52a b - 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (- 14b - 176a b - 300a b - 128a b + 10a b)cosh(x) - 20b +--R + +--R 4 3 2 4 +--R - 40a b + 40a b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 11 +--R (- 4b + 16a b + 40a b + 16a b - 4a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (- 16b - 72a b - 88a b - 24a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 24b - 32a b - 16a b - 32a b - 24a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 8b + 120a b + 88a b - 24a b + 16a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (28b + 112a b + 168a b + 112a b + 28a b)cosh(x) +--R + +--R 5 4 3 2 4 +--R (24b + 48a b - 48a b - 24a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 12 +--R (- b + 4a b + 10a b + 4a b - a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (- 8b - 36a b - 44a b - 12a b + 4a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 30b - 28a b + 16a b - 4a b - 18a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 36b - 4a b + 44a b + 52a b + 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 29b - 56a b - 66a b - 80a b - 41a b)cosh(x) +--R + +--R 5 4 3 2 4 2 5 2 3 4 +--R (- 20b - 40a b + 40a b + 20a b)cosh(x) - 4b + 8a b - 4a b +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 5 4 2 3 3 2 2 4 2 3 +--R (2b + 6a b + 6a b + 2a b )coth(x) + 2a b + 6a b +--R + +--R 3 2 4 +--R 6a b + 2a b +--R * +--R 12 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 2 +--R (8b + 24a b + 24a b + 8a b )cosh(x)coth(x) +--R + +--R 4 2 3 3 2 4 +--R (8a b + 24a b + 24a b + 8a b)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (4b + 12a b + 12a b + 4a b )cosh(x) - 12b +--R + +--R 4 2 3 3 2 4 +--R - 56a b - 68a b - 16a b + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (4a b + 12a b + 12a b + 4a b)cosh(x) - 12a b +--R + +--R 2 3 3 2 4 5 +--R - 56a b - 68a b - 16a b + 8a +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 40b - 192a b - 232a b - 48a b + 32a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 24a b - 72a b - 72a b - 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 40a b - 192a b - 232a b - 48a b + 32a )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 34b - 102a b - 102a b - 34a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 28b - 152a b - 180a b - 16a b + 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 52b - 64a b + 44a b + 24a b - 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 34a b - 102a b - 102a b - 34a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 28a b - 152a b - 180a b - 16a b + 40a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R - 52a b - 64a b + 44a b + 24a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (16b + 48a b + 48a b + 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (32b + 128a b + 160a b + 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 112b - 176a b + 96a b + 80a b - 80a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 +--R (16a b + 48a b + 48a b + 16a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (32a b + 128a b + 160a b + 64a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 112a b - 176a b + 96a b + 80a b - 80a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (40b + 208a b + 248a b + 32a b - 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 16b - 96a b + 16a b + 64a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 72b + 20a b + 80a b + 52a b + 64a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 6 +--R (56a b + 168a b + 168a b + 56a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (40a b + 208a b + 248a b + 32a b - 48a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 16a b - 96a b + 16a b + 64a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R - 72a b + 20a b + 80a b + 52a b + 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (16b + 48a b + 48a b + 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (16b + 128a b + 144a b - 32a b - 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (112b + 176a b - 96a b - 80a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 96b + 216a b + 256a b + 24a b + 80a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 7 +--R (16a b + 48a b + 48a b + 16a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (16a b + 128a b + 144a b - 32a b - 64a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (112a b + 176a b - 96a b - 80a b + 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 96a b + 216a b + 256a b + 24a b + 80a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 34b - 102a b - 102a b - 34a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (40b + 208a b + 248a b + 32a b - 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (136b + 320a b - 120a b - 176a b + 128a b) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (8b + 172a b + 304a b + 140a b )cosh(x) - 62b +--R + +--R 4 2 3 3 2 4 +--R - 38a b - 82a b - 122a b - 80a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 8 +--R (- 34a b - 102a b - 102a b - 34a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (40a b + 208a b + 248a b + 32a b - 48a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (136a b + 320a b - 120a b - 176a b + 128a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (8a b + 172a b + 304a b + 140a b)cosh(x) - 62a b +--R + +--R 2 3 3 2 4 5 +--R - 38a b - 82a b - 122a b - 80a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (32b + 128a b + 160a b + 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (112b + 176a b - 96a b - 80a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (64b - 48a b + 256a b + 336a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 24b + 248a b + 72a b + 8a b - 48a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 9 +--R (- 24a b - 72a b - 72a b - 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 7 +--R (32a b + 128a b + 160a b + 64a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (112a b + 176a b - 96a b - 80a b + 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (64a b - 48a b + 256a b + 336a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 24a b + 248a b + 72a b + 8a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 28b - 152a b - 180a b - 16a b + 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 16b - 96a b + 16a b + 64a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (8b + 172a b + 304a b + 140a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 52b + 60a b - 460a b - 252a b - 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 44b - 60a b - 12a b + 60a b + 56a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 10 +--R (4a b + 12a b + 12a b + 4a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (- 28a b - 152a b - 180a b - 16a b + 40a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (- 16a b - 96a b + 16a b + 64a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (8a b + 172a b + 304a b + 140a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 52a b + 60a b - 460a b - 252a b - 64a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R - 44a b - 60a b - 12a b + 60a b + 56a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (8b + 24a b + 24a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (- 40b - 192a b - 232a b - 48a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 112b - 176a b + 96a b + 80a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 96b + 216a b + 256a b + 24a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 24b + 248a b + 72a b + 8a b - 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (8b + 72a b - 24a b - 72a b + 16a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 11 +--R (8a b + 24a b + 24a b + 8a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 9 +--R (- 40a b - 192a b - 232a b - 48a b + 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 7 +--R (- 112a b - 176a b + 96a b + 80a b - 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 96a b + 216a b + 256a b + 24a b + 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 24a b + 248a b + 72a b + 8a b - 48a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (8a b + 72a b - 24a b - 72a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (2b + 6a b + 6a b + 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (- 12b - 56a b - 68a b - 16a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 52b - 64a b + 44a b + 24a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 72b + 20a b + 80a b + 52a b + 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 62b - 38a b - 82a b - 122a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 44b - 60a b - 12a b + 60a b + 56a b)cosh(x) +--R + +--R 5 2 3 4 +--R - 16b + 32a b - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 12 +--R (2a b + 6a b + 6a b + 2a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 10 +--R (- 12a b - 56a b - 68a b - 16a b + 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (- 52a b - 64a b + 44a b + 24a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (- 72a b + 20a b + 80a b + 52a b + 64a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 62a b - 38a b - 82a b - 122a b - 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 4 +--R (- 44a b - 60a b - 12a b + 60a b + 56a )cosh(x) - 16a b +--R + +--R 3 2 5 +--R 32a b - 16a +--R * +--R 2 +--R tanh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (- 2b - 6a b - 6a b - 2a b )sinh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (- 8b - 24a b - 24a b - 8a b )cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) + 12b + 56a b +--R + +--R 2 3 3 2 4 +--R 68a b + 16a b - 8a b +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (24b + 72a b + 72a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (40b + 192a b + 232a b + 48a b - 32a b)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (34b + 102a b + 102a b + 34a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (28b + 152a b + 180a b + 16a b - 40a b)cosh(x) + 52b +--R + +--R 4 2 3 3 2 4 +--R 64a b - 44a b - 24a b + 32a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 16b - 48a b - 48a b - 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 32b - 128a b - 160a b - 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (112b + 176a b - 96a b - 80a b + 80a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 40b - 208a b - 248a b - 32a b + 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (16b + 96a b - 16a b - 64a b + 32a b)cosh(x) + 72b +--R + +--R 4 2 3 3 2 4 +--R - 20a b - 80a b - 52a b - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 16b - 48a b - 48a b - 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 16b - 128a b - 144a b + 32a b + 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 112b - 176a b + 96a b + 80a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (96b - 216a b - 256a b - 24a b - 80a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (34b + 102a b + 102a b + 34a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 40b - 208a b - 248a b - 32a b + 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 136b - 320a b + 120a b + 176a b - 128a b)cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 8b - 172a b - 304a b - 140a b )cosh(x) + 62b + 38a b +--R + +--R 2 3 3 2 4 +--R 82a b + 122a b + 80a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (24b + 72a b + 72a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 32b - 128a b - 160a b - 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 112b - 176a b + 96a b + 80a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 64b + 48a b - 256a b - 336a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (24b - 248a b - 72a b - 8a b + 48a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (28b + 152a b + 180a b + 16a b - 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (16b + 96a b - 16a b - 64a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 8b - 172a b - 304a b - 140a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (52b - 60a b + 460a b + 252a b + 64a b)cosh(x) + 44b +--R + +--R 4 2 3 3 2 4 +--R 60a b + 12a b - 60a b - 56a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (- 8b - 24a b - 24a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (40b + 192a b + 232a b + 48a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (112b + 176a b - 96a b - 80a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (96b - 216a b - 256a b - 24a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (24b - 248a b - 72a b - 8a b + 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 8b - 72a b + 24a b + 72a b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (- 2b - 6a b - 6a b - 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 10 +--R (12b + 56a b + 68a b + 16a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (52b + 64a b - 44a b - 24a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (72b - 20a b - 80a b - 52a b - 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (62b + 38a b + 82a b + 122a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 2 3 +--R (44b + 60a b + 12a b - 60a b - 56a b)cosh(x) + 16b - 32a b +--R + +--R 4 +--R 16a b +--R * +--R +-----+ +--R \|b + a +--R * +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R 4 2 3 3 2 2 2 3 3 2 4 14 +--R ((- 3a b - 2a b + a b )coth(x) - 3a b - 2a b + a b)sinh(x) +--R + +--R 4 2 3 3 2 2 +--R (- 18a b - 12a b + 6a b )cosh(x)coth(x) +--R + +--R 2 3 3 2 4 +--R (- 18a b - 12a b + 6a b)cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (- 33a b - 22a b + 11a b )cosh(x) - 5a b - 3a b +--R + +--R 3 2 4 +--R a b - a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 4 5 +--R (- 33a b - 22a b + 11a b)cosh(x) - 5a b - 3a b + a b - a +--R * +--R 12 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 +--R (12a b + 8a b - 4a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 20a b - 12a b + 4a b - 4a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 3 +--R (12a b + 8a b - 4a b)cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (- 20a b - 12a b + 4a b - 4a )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 +--R (117a b + 78a b - 39a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 10a b - 6a b + 2a b - 2a b)cosh(x) + 10a b +--R + +--R 2 3 3 2 4 +--R 4a b - 2a b + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 4 +--R (117a b + 78a b - 39a b)cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 +--R (- 10a b - 6a b + 2a b - 2a )cosh(x) + 10a b + 4a b +--R + +--R 4 5 +--R - 2a b + 4a +--R * +--R 10 +--R sinh(x) +--R + +--R 4 2 3 3 2 5 +--R (114a b + 76a b - 38a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (60a b + 36a b - 12a b + 12a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (36a b + 24a b - 4a b + 8a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 5 +--R (114a b + 76a b - 38a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (60a b + 36a b - 12a b + 12a )cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (36a b + 24a b - 4a b + 8a )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 4 2 3 3 2 6 +--R (- 81a b - 54a b + 27a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (85a b + 51a b - 17a b + 17a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (34a b + 52a b + 6a b - 12a b)cosh(x) + 34a b +--R + +--R 2 3 3 2 4 +--R 26a b - 10a b - 18a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 6 +--R (- 81a b - 54a b + 27a b)cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (85a b + 51a b - 17a b + 17a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 +--R (34a b + 52a b + 6a b - 12a )cosh(x) + 34a b + 26a b +--R + +--R 4 5 +--R - 10a b - 18a +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 216a b - 144a b + 72a b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 40a b - 24a b + 8a b - 8a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 16a b + 32a b + 16a b - 32a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (72a b + 24a b - 8a b - 24a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 7 +--R (- 216a b - 144a b + 72a b)cosh(x) +--R + +--R 2 3 3 2 4 5 5 +--R (- 40a b - 24a b + 8a b - 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 16a b + 32a b + 16a b - 32a )cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (72a b + 24a b - 8a b - 24a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 3 2 8 +--R (- 81a b - 54a b + 27a b )cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 140a b - 84a b + 28a b - 28a b)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 44a b - 56a b - 4a b + 8a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (8a b - 56a b + 24a b + 24a b)cosh(x) + 17a b +--R + +--R 2 3 3 2 4 +--R 10a b + 33a b + 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 8 +--R (- 81a b - 54a b + 27a b)cosh(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 140a b - 84a b + 28a b - 28a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 44a b - 56a b - 4a b + 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 +--R (8a b - 56a b + 24a b + 24a )cosh(x) + 17a b + 10a b +--R + +--R 4 5 +--R 33a b + 40a +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 9 +--R (114a b + 76a b - 38a b )cosh(x) +--R + +--R 4 2 3 3 2 4 7 +--R (- 40a b - 24a b + 8a b - 8a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 40a b - 112a b - 24a b + 48a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 72a b - 24a b + 8a b + 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (30a b - 52a b - 66a b + 16a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 9 +--R (114a b + 76a b - 38a b)cosh(x) +--R + +--R 2 3 3 2 4 5 7 +--R (- 40a b - 24a b + 8a b - 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 5 +--R (- 40a b - 112a b - 24a b + 48a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 72a b - 24a b + 8a b + 24a )cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (30a b - 52a b - 66a b + 16a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 3 2 10 +--R (117a b + 78a b - 39a b )cosh(x) +--R + +--R 4 2 3 3 2 4 8 +--R (85a b + 51a b - 17a b + 17a b)cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 44a b - 56a b - 4a b + 8a b)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 84a b + 60a b - 28a b - 12a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 33a b - 42a b - 49a b - 40a b)cosh(x) - 25a b +--R + +--R 2 3 3 2 4 +--R - 27a b - 43a b - 41a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 10 +--R (117a b + 78a b - 39a b)cosh(x) +--R + +--R 2 3 3 2 4 5 8 +--R (85a b + 51a b - 17a b + 17a )cosh(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 44a b - 56a b - 4a b + 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 84a b + 60a b - 28a b - 12a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 +--R (- 33a b - 42a b - 49a b - 40a )cosh(x) - 25a b - 27a b +--R + +--R 4 5 +--R - 43a b - 41a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 11 +--R (12a b + 8a b - 4a b )cosh(x) +--R + +--R 4 2 3 3 2 4 9 +--R (60a b + 36a b - 12a b + 12a b)cosh(x) +--R + +--R 4 2 3 3 2 4 7 +--R (- 16a b + 32a b + 16a b - 32a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 72a b - 24a b + 8a b + 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 92a b + 40a b + 100a b - 32a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (12a b + 84a b + 100a b + 28a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 11 +--R (12a b + 8a b - 4a b)cosh(x) +--R + +--R 2 3 3 2 4 5 9 +--R (60a b + 36a b - 12a b + 12a )cosh(x) +--R + +--R 2 3 3 2 4 5 7 +--R (- 16a b + 32a b + 16a b - 32a )cosh(x) +--R + +--R 2 3 3 2 4 5 5 +--R (- 72a b - 24a b + 8a b + 24a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 92a b + 40a b + 100a b - 32a )cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (12a b + 84a b + 100a b + 28a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 12 +--R (- 33a b - 22a b + 11a b )cosh(x) +--R + +--R 4 2 3 3 2 4 10 +--R (- 10a b - 6a b + 2a b - 2a b)cosh(x) +--R + +--R 4 2 3 3 2 4 8 +--R (34a b + 52a b + 6a b - 12a b)cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (8a b - 56a b + 24a b + 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 33a b - 42a b - 49a b - 40a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 54a b - 162a b - 98a b + 10a b)cosh(x) - 24a b +--R + +--R 2 3 3 2 4 +--R - 12a b + 16a b + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 12 +--R (- 33a b - 22a b + 11a b)cosh(x) +--R + +--R 2 3 3 2 4 5 10 +--R (- 10a b - 6a b + 2a b - 2a )cosh(x) +--R + +--R 2 3 3 2 4 5 8 +--R (34a b + 52a b + 6a b - 12a )cosh(x) +--R + +--R 2 3 3 2 4 5 6 +--R (8a b - 56a b + 24a b + 24a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 33a b - 42a b - 49a b - 40a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 +--R (- 54a b - 162a b - 98a b + 10a )cosh(x) - 24a b - 12a b +--R + +--R 4 5 +--R 16a b + 20a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 13 +--R (- 18a b - 12a b + 6a b )cosh(x) +--R + +--R 4 2 3 3 2 4 11 +--R (- 20a b - 12a b + 4a b - 4a b)cosh(x) +--R + +--R 4 2 3 3 2 4 9 +--R (36a b + 24a b - 4a b + 8a b)cosh(x) +--R + +--R 4 2 3 3 2 4 7 +--R (72a b + 24a b - 8a b - 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (30a b - 52a b - 66a b + 16a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (12a b + 84a b + 100a b + 28a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (16a b + 40a b - 32a b - 24a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 13 +--R (- 18a b - 12a b + 6a b)cosh(x) +--R + +--R 2 3 3 2 4 5 11 +--R (- 20a b - 12a b + 4a b - 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 9 +--R (36a b + 24a b - 4a b + 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 7 +--R (72a b + 24a b - 8a b - 24a )cosh(x) +--R + +--R 2 3 3 2 4 5 5 +--R (30a b - 52a b - 66a b + 16a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (12a b + 84a b + 100a b + 28a )cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (16a b + 40a b - 32a b - 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 14 +--R (- 3a b - 2a b + a b )cosh(x) +--R + +--R 4 2 3 3 2 4 12 +--R (- 5a b - 3a b + a b - a b)cosh(x) +--R + +--R 4 2 3 3 2 4 10 +--R (10a b + 4a b - 2a b + 4a b)cosh(x) +--R + +--R 4 2 3 3 2 4 8 +--R (34a b + 26a b - 10a b - 18a b)cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (17a b + 10a b + 33a b + 40a b)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 25a b - 27a b - 43a b - 41a b)cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (- 24a b - 12a b + 16a b + 20a b)cosh(x) - 4a b + 4a b +--R + +--R 3 2 4 +--R 4a b - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 4 14 +--R (- 3a b - 2a b + a b)cosh(x) +--R + +--R 2 3 3 2 4 5 12 +--R (- 5a b - 3a b + a b - a )cosh(x) +--R + +--R 2 3 3 2 4 5 10 +--R (10a b + 4a b - 2a b + 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 8 +--R (34a b + 26a b - 10a b - 18a )cosh(x) +--R + +--R 2 3 3 2 4 5 6 +--R (17a b + 10a b + 33a b + 40a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 25a b - 27a b - 43a b - 41a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 4 +--R (- 24a b - 12a b + 16a b + 20a )cosh(x) - 4a b + 4a b + 4a b +--R + +--R 5 +--R - 4a +--R * +--R 2 +--R tanh(x) +--R + +--R 5 4 2 3 3 5 4 2 3 +--R ((3b + 2a b - a b )coth(x) + (- 3b - 2a b + a b )coth(x)) +--R * +--R 14 +--R sinh(x) +--R + +--R 5 4 2 3 3 +--R (18b + 12a b - 6a b )cosh(x)coth(x) +--R + +--R 5 4 2 3 +--R (- 18b - 12a b + 6a b )cosh(x)coth(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (33b + 22a b - 11a b )cosh(x) + 5b + 3a b - a b +--R + +--R 3 2 +--R a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (- 33b - 22a b + 11a b )cosh(x) - 5b - 3a b + a b +--R + +--R 3 2 +--R - a b +--R * +--R coth(x) +--R * +--R 12 +--R sinh(x) +--R + +--R 5 4 2 3 3 +--R (- 12b - 8a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (20b + 12a b - 4a b + 4a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 3 +--R (12b + 8a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 20b - 12a b + 4a b - 4a b )cosh(x) +--R * +--R coth(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 2 3 4 +--R (- 117b - 78a b + 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (10b + 6a b - 2a b + 2a b )cosh(x) - 10b - 4a b +--R + +--R 2 3 3 2 +--R 2a b - 4a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 4 +--R (117b + 78a b - 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 10b - 6a b + 2a b - 2a b )cosh(x) + 10b + 4a b +--R + +--R 2 3 3 2 +--R - 2a b + 4a b +--R * +--R coth(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 5 +--R (- 114b - 76a b + 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 60b - 36a b + 12a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 36b - 24a b + 4a b - 8a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 5 +--R (114b + 76a b - 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (60b + 36a b - 12a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (36b + 24a b - 4a b + 8a b )cosh(x) +--R * +--R coth(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 6 +--R (81b + 54a b - 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 85b - 51a b + 17a b - 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (- 34b - 52a b - 6a b + 12a b )cosh(x) - 34b +--R + +--R 4 2 3 3 2 +--R - 26a b + 10a b + 18a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 6 +--R (- 81b - 54a b + 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (85b + 51a b - 17a b + 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (34b + 52a b + 6a b - 12a b )cosh(x) + 34b + 26a b +--R + +--R 2 3 3 2 +--R - 10a b - 18a b +--R * +--R coth(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 7 +--R (216b + 144a b - 72a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (40b + 24a b - 8a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (16b - 32a b - 16a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 7 +--R (- 216b - 144a b + 72a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 40b - 24a b + 8a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 16b + 32a b + 16a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R * +--R coth(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 8 +--R (81b + 54a b - 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (140b + 84a b - 28a b + 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (44b + 56a b + 4a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (- 8b + 56a b - 24a b - 24a b )cosh(x) - 17b +--R + +--R 4 2 3 3 2 +--R - 10a b - 33a b - 40a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 8 +--R (- 81b - 54a b + 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 140b - 84a b + 28a b - 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 44b - 56a b - 4a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (8b - 56a b + 24a b + 24a b )cosh(x) + 17b + 10a b +--R + +--R 2 3 3 2 +--R 33a b + 40a b +--R * +--R coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 9 +--R (- 114b - 76a b + 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (40b + 24a b - 8a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (40b + 112a b + 24a b - 48a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 30b + 52a b + 66a b - 16a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 9 +--R (114b + 76a b - 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 40b - 24a b + 8a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 40b - 112a b - 24a b + 48a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (30b - 52a b - 66a b + 16a b )cosh(x) +--R * +--R coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 10 +--R (- 117b - 78a b + 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 85b - 51a b + 17a b - 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (44b + 56a b + 4a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (84b - 60a b + 28a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (33b + 42a b + 49a b + 40a b )cosh(x) + 25b + 27a b +--R + +--R 2 3 3 2 +--R 43a b + 41a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 10 +--R (117b + 78a b - 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (85b + 51a b - 17a b + 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 44b - 56a b - 4a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 84b + 60a b - 28a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (- 33b - 42a b - 49a b - 40a b )cosh(x) - 25b +--R + +--R 4 2 3 3 2 +--R - 27a b - 43a b - 41a b +--R * +--R coth(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 11 +--R (- 12b - 8a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 60b - 36a b + 12a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (16b - 32a b - 16a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (92b - 40a b - 100a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 12b - 84a b - 100a b - 28a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 11 +--R (12b + 8a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (60b + 36a b - 12a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 16b + 32a b + 16a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 92b + 40a b + 100a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (12b + 84a b + 100a b + 28a b )cosh(x) +--R * +--R coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 12 +--R (33b + 22a b - 11a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (10b + 6a b - 2a b + 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 34b - 52a b - 6a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 8b + 56a b - 24a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (33b + 42a b + 49a b + 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (54b + 162a b + 98a b - 10a b )cosh(x) + 24b +--R + +--R 4 2 3 3 2 +--R 12a b - 16a b - 20a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 12 +--R (- 33b - 22a b + 11a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 10b - 6a b + 2a b - 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (34b + 52a b + 6a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (8b - 56a b + 24a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 33b - 42a b - 49a b - 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (- 54b - 162a b - 98a b + 10a b )cosh(x) - 24b +--R + +--R 4 2 3 3 2 +--R - 12a b + 16a b + 20a b +--R * +--R coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 13 +--R (18b + 12a b - 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (20b + 12a b - 4a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 36b - 24a b + 4a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 30b + 52a b + 66a b - 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 12b - 84a b - 100a b - 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 16b - 40a b + 32a b + 24a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 13 +--R (- 18b - 12a b + 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (- 20b - 12a b + 4a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (36b + 24a b - 4a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (30b - 52a b - 66a b + 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (12b + 84a b + 100a b + 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (16b + 40a b - 32a b - 24a b )cosh(x) +--R * +--R coth(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 14 +--R (3b + 2a b - a b )cosh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (5b + 3a b - a b + a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 10b - 4a b + 2a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 34b - 26a b + 10a b + 18a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 17b - 10a b - 33a b - 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (25b + 27a b + 43a b + 41a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (24b + 12a b - 16a b - 20a b )cosh(x) + 4b - 4a b +--R + +--R 2 3 3 2 +--R - 4a b + 4a b +--R * +--R 3 +--R coth(x) +--R + +--R 5 4 2 3 14 +--R (- 3b - 2a b + a b )cosh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (- 5b - 3a b + a b - a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (10b + 4a b - 2a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (34b + 26a b - 10a b - 18a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (17b + 10a b + 33a b + 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 25b - 27a b - 43a b - 41a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 24b - 12a b + 16a b + 20a b )cosh(x) - 4b + 4a b +--R + +--R 2 3 3 2 +--R 4a b - 4a b +--R * +--R coth(x) +--R * +--R tanh(x) +--R + +--R 5 4 2 3 2 5 4 2 3 14 +--R ((- 3b - 2a b + a b )coth(x) + 3b + 2a b - a b )sinh(x) +--R + +--R 5 4 2 3 2 +--R (- 18b - 12a b + 6a b )cosh(x)coth(x) +--R + +--R 5 4 2 3 +--R (18b + 12a b - 6a b )cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (- 33b - 22a b + 11a b )cosh(x) - 5b - 3a b + a b +--R + +--R 3 2 +--R - a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 2 5 4 2 3 3 2 +--R (33b + 22a b - 11a b )cosh(x) + 5b + 3a b - a b + a b +--R * +--R 12 +--R sinh(x) +--R + +--R 5 4 2 3 3 +--R (12b + 8a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 20b - 12a b + 4a b - 4a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 3 +--R (- 12b - 8a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (20b + 12a b - 4a b + 4a b )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 2 3 4 +--R (117b + 78a b - 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 10b - 6a b + 2a b - 2a b )cosh(x) + 10b + 4a b +--R + +--R 2 3 3 2 +--R - 2a b + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 4 +--R (- 117b - 78a b + 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (10b + 6a b - 2a b + 2a b )cosh(x) - 10b - 4a b + 2a b +--R + +--R 3 2 +--R - 4a b +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 5 +--R (114b + 76a b - 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (60b + 36a b - 12a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (36b + 24a b - 4a b + 8a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 5 +--R (- 114b - 76a b + 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 60b - 36a b + 12a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 36b - 24a b + 4a b - 8a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 6 +--R (- 81b - 54a b + 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (85b + 51a b - 17a b + 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (34b + 52a b + 6a b - 12a b )cosh(x) + 34b + 26a b +--R + +--R 2 3 3 2 +--R - 10a b - 18a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 6 +--R (81b + 54a b - 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 85b - 51a b + 17a b - 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 34b - 52a b - 6a b + 12a b )cosh(x) - 34b - 26a b +--R + +--R 2 3 3 2 +--R 10a b + 18a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 7 +--R (- 216b - 144a b + 72a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 40b - 24a b + 8a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 16b + 32a b + 16a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 7 +--R (216b + 144a b - 72a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (40b + 24a b - 8a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (16b - 32a b - 16a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 8 +--R (- 81b - 54a b + 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 140b - 84a b + 28a b - 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 44b - 56a b - 4a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (8b - 56a b + 24a b + 24a b )cosh(x) + 17b + 10a b +--R + +--R 2 3 3 2 +--R 33a b + 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 8 +--R (81b + 54a b - 27a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (140b + 84a b - 28a b + 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (44b + 56a b + 4a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 8b + 56a b - 24a b - 24a b )cosh(x) - 17b - 10a b +--R + +--R 2 3 3 2 +--R - 33a b - 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 9 +--R (114b + 76a b - 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 40b - 24a b + 8a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 40b - 112a b - 24a b + 48a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (30b - 52a b - 66a b + 16a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 9 +--R (- 114b - 76a b + 38a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (40b + 24a b - 8a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (40b + 112a b + 24a b - 48a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 30b + 52a b + 66a b - 16a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 10 +--R (117b + 78a b - 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (85b + 51a b - 17a b + 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 44b - 56a b - 4a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 84b + 60a b - 28a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 33b - 42a b - 49a b - 40a b )cosh(x) - 25b - 27a b +--R + +--R 2 3 3 2 +--R - 43a b - 41a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 10 +--R (- 117b - 78a b + 39a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 85b - 51a b + 17a b - 17a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (44b + 56a b + 4a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (84b - 60a b + 28a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (33b + 42a b + 49a b + 40a b )cosh(x) + 25b + 27a b +--R + +--R 2 3 3 2 +--R 43a b + 41a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 11 +--R (12b + 8a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (60b + 36a b - 12a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 16b + 32a b + 16a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 92b + 40a b + 100a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (12b + 84a b + 100a b + 28a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 11 +--R (- 12b - 8a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 60b - 36a b + 12a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (16b - 32a b - 16a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (92b - 40a b - 100a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 12b - 84a b - 100a b - 28a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 12 +--R (- 33b - 22a b + 11a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 10b - 6a b + 2a b - 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (34b + 52a b + 6a b - 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (8b - 56a b + 24a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 33b - 42a b - 49a b - 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 54b - 162a b - 98a b + 10a b )cosh(x) - 24b - 12a b +--R + +--R 2 3 3 2 +--R 16a b + 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 12 +--R (33b + 22a b - 11a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (10b + 6a b - 2a b + 2a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 34b - 52a b - 6a b + 12a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 8b + 56a b - 24a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (33b + 42a b + 49a b + 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (54b + 162a b + 98a b - 10a b )cosh(x) + 24b + 12a b +--R + +--R 2 3 3 2 +--R - 16a b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 13 +--R (- 18b - 12a b + 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (- 20b - 12a b + 4a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (36b + 24a b - 4a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (72b + 24a b - 8a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (30b - 52a b - 66a b + 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (12b + 84a b + 100a b + 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (16b + 40a b - 32a b - 24a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 13 +--R (18b + 12a b - 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (20b + 12a b - 4a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 36b - 24a b + 4a b - 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 72b - 24a b + 8a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 30b + 52a b + 66a b - 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 12b - 84a b - 100a b - 28a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (- 16b - 40a b + 32a b + 24a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 14 +--R (- 3b - 2a b + a b )cosh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (- 5b - 3a b + a b - a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (10b + 4a b - 2a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (34b + 26a b - 10a b - 18a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (17b + 10a b + 33a b + 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 25b - 27a b - 43a b - 41a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (- 24b - 12a b + 16a b + 20a b )cosh(x) - 4b + 4a b + 4a b +--R + +--R 3 2 +--R - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 2 3 14 5 4 2 3 3 2 12 +--R (3b + 2a b - a b )cosh(x) + (5b + 3a b - a b + a b )cosh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 10b - 4a b + 2a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 34b - 26a b + 10a b + 18a b )cosh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 17b - 10a b - 33a b - 40a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (25b + 27a b + 43a b + 41a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 3 2 +--R (24b + 12a b - 16a b - 20a b )cosh(x) + 4b - 4a b - 4a b + 4a b +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 2 4 3 3 +--R (4a b + 12a b + 12a b + 4a b )coth(x) + 4a b + 12a b +--R + +--R 4 2 5 +--R 12a b + 4a b +--R * +--R 12 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 2 +--R (24a b + 72a b + 72a b + 24a b )cosh(x)coth(x) +--R + +--R 2 4 3 3 4 2 5 +--R (24a b + 72a b + 72a b + 24a b)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 +--R (56a b + 168a b + 168a b + 56a b )cosh(x) - 8a b - 8a b +--R + +--R 4 2 5 +--R - 8a b - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (56a b + 168a b + 168a b + 56a b)cosh(x) - 8a b - 8a b +--R + +--R 5 6 +--R - 8a b - 8a +--R * +--R 10 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (56a b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 24a b - 24a b - 8a b - 40a b - 32a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (56a b + 168a b + 168a b + 56a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 24a b - 24a b - 8a b - 40a b - 32a )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 4a b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 5 +--R (- 8a b - 8a b - 32a b - 72a b - 40a b)cosh(x) - 48a b +--R + +--R 2 4 3 3 4 2 5 +--R - 72a b - 32a b + 24a b + 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 4a b - 12a b - 12a b - 4a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (- 8a b - 8a b - 32a b - 72a b - 40a )cosh(x) - 48a b +--R + +--R 3 3 4 2 5 6 +--R - 72a b - 32a b + 24a b + 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 80a b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (32a b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 136a b - 168a b - 104a b + 8a b + 80a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 80a b - 240a b - 240a b - 80a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (32a b + 32a b - 32a b - 32a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 136a b - 168a b - 104a b + 8a b + 80a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 112a b - 336a b - 336a b - 112a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (16a b + 16a b + 32a b + 80a b + 48a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 112a b - 144a b - 176a b - 112a b + 32a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 40a b - 48a b - 40a b - 96a b - 64a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 112a b - 336a b - 336a b - 112a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (16a b + 16a b + 32a b + 80a b + 48a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (- 112a b - 144a b - 176a b - 112a b + 32a )cosh(x) - 40a b +--R + +--R 3 3 4 2 5 6 +--R - 48a b - 40a b - 96a b - 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (- 80a b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (- 16a b - 16a b + 80a b + 144a b + 64a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (8a b - 216a b - 280a b - 136a b - 80a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 104a b - 56a b + 120a b - 8a b - 80a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 7 +--R (- 80a b - 240a b - 240a b - 80a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (- 16a b - 16a b + 80a b + 144a b + 64a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (8a b - 216a b - 280a b - 136a b - 80a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 104a b - 56a b + 120a b - 8a b - 80a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 8 +--R (- 4a b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (16a b + 16a b + 32a b + 80a b + 48a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (64a b - 336a b - 352a b - 80a b - 128a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 56a b - 48a b + 72a b + 64a b )cosh(x) + 28a b +--R + +--R 2 4 3 3 4 2 5 +--R 60a b + 84a b + 132a b + 80a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 8 +--R (- 4a b - 12a b - 12a b - 4a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (16a b + 16a b + 32a b + 80a b + 48a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (64a b - 336a b - 352a b - 80a b - 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (- 56a b - 48a b + 72a b + 64a b)cosh(x) + 28a b + 60a b +--R + +--R 4 2 5 6 +--R 84a b + 132a b + 80a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 9 +--R (56a b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 7 +--R (32a b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (8a b - 216a b - 280a b - 136a b - 80a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (16a b - 80a b - 176a b - 48a b + 32a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 16a b - 64a b - 160a b - 64a b + 48a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 9 +--R (56a b + 168a b + 168a b + 56a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 7 +--R (32a b + 32a b - 32a b - 32a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (8a b - 216a b - 280a b - 136a b - 80a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (16a b - 80a b - 176a b - 48a b + 32a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 16a b - 64a b - 160a b - 64a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 10 +--R (56a b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 8 +--R (- 8a b - 8a b - 32a b - 72a b - 40a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 112a b - 144a b - 176a b - 112a b + 32a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 56a b - 48a b + 72a b + 64a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (40a b + 264a b + 280a b + 120a b + 64a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 48a b + 56a b + 8a b - 56a b - 56a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 10 +--R (56a b + 168a b + 168a b + 56a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (- 8a b - 8a b - 32a b - 72a b - 40a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 112a b - 144a b - 176a b - 112a b + 32a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 56a b - 48a b + 72a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (40a b + 264a b + 280a b + 120a b + 64a )cosh(x) + 48a b +--R + +--R 3 3 4 2 5 6 +--R 56a b + 8a b - 56a b - 56a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 11 +--R (24a b + 72a b + 72a b + 24a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 9 +--R (- 24a b - 24a b - 8a b - 40a b - 32a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (- 136a b - 168a b - 104a b + 8a b + 80a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (- 104a b - 56a b + 120a b - 8a b - 80a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 16a b - 64a b - 160a b - 64a b + 48a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 80a b + 16a b + 80a b - 16a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 11 +--R (24a b + 72a b + 72a b + 24a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (- 24a b - 24a b - 8a b - 40a b - 32a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (- 136a b - 168a b - 104a b + 8a b + 80a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (- 104a b - 56a b + 120a b - 8a b - 80a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 16a b - 64a b - 160a b - 64a b + 48a )cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (- 80a b + 16a b + 80a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 12 +--R (4a b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 5 2 4 4 2 5 10 +--R (- 8a b - 8a b - 8a b - 8a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 8 +--R (- 48a b - 72a b - 32a b + 24a b + 32a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 40a b - 48a b - 40a b - 96a b - 64a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (28a b + 60a b + 84a b + 132a b + 80a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 5 +--R (48a b + 56a b + 8a b - 56a b - 56a b)cosh(x) + 16a b +--R + +--R 3 3 5 +--R - 32a b + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 3 4 2 5 12 +--R (4a b + 12a b + 12a b + 4a b)cosh(x) +--R + +--R 2 4 3 3 5 6 10 +--R (- 8a b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (- 48a b - 72a b - 32a b + 24a b + 32a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 40a b - 48a b - 40a b - 96a b - 64a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (28a b + 60a b + 84a b + 132a b + 80a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 4 2 +--R (48a b + 56a b + 8a b - 56a b - 56a )cosh(x) + 16a b - 32a b +--R + +--R 6 +--R 16a +--R * +--R 2 +--R tanh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 4b - 12a b - 12a b - 4a b )coth(x) +--R + +--R 6 5 2 4 3 3 +--R (4b + 12a b + 12a b + 4a b )coth(x) +--R * +--R 12 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x)coth(x) +--R + +--R 6 5 2 4 3 3 +--R (24b + 72a b + 72a b + 24a b )cosh(x)coth(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) + 8b + 8a b +--R + +--R 3 3 4 2 +--R 8a b + 8a b +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (56b + 168a b + 168a b + 56a b )cosh(x) - 8b - 8a b +--R + +--R 3 3 4 2 +--R - 8a b - 8a b +--R * +--R coth(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (24b + 24a b + 8a b + 40a b + 32a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 3 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 24b - 24a b - 8a b - 40a b - 32a b )cosh(x) +--R * +--R coth(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (8b + 8a b + 32a b + 72a b + 40a b )cosh(x) + 48b +--R + +--R 5 2 4 3 3 4 2 +--R 72a b + 32a b - 24a b - 32a b +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 8b - 8a b - 32a b - 72a b - 40a b )cosh(x) - 48b +--R + +--R 5 2 4 3 3 4 2 +--R - 72a b - 32a b + 24a b + 32a b +--R * +--R coth(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (80b + 240a b + 240a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 32b - 32a b + 32a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (136b + 168a b + 104a b - 8a b - 80a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 80b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (32b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 136b - 168a b - 104a b + 8a b + 80a b )cosh(x) +--R * +--R coth(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (112b + 336a b + 336a b + 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 16b - 16a b - 32a b - 80a b - 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (112b + 144a b + 176a b + 112a b - 32a b )cosh(x) + 40b +--R + +--R 5 2 4 3 3 4 2 +--R 48a b + 40a b + 96a b + 64a b +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 112b - 336a b - 336a b - 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (16b + 16a b + 32a b + 80a b + 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 112b - 144a b - 176a b - 112a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 40b - 48a b - 40a b - 96a b - 64a b +--R * +--R coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (80b + 240a b + 240a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (16b + 16a b - 80a b - 144a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 8b + 216a b + 280a b + 136a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (104b + 56a b - 120a b + 8a b + 80a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 7 +--R (- 80b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 16b - 16a b + 80a b + 144a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (8b - 216a b - 280a b - 136a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 104b - 56a b + 120a b - 8a b - 80a b )cosh(x) +--R * +--R coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 8 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 16b - 16a b - 32a b - 80a b - 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 64b + 336a b + 352a b + 80a b + 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (56b + 48a b - 72a b - 64a b )cosh(x) - 28b - 60a b +--R + +--R 2 4 3 3 4 2 +--R - 84a b - 132a b - 80a b +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 8 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (16b + 16a b + 32a b + 80a b + 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (64b - 336a b - 352a b - 80a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 56b - 48a b + 72a b + 64a b )cosh(x) + 28b + 60a b +--R + +--R 2 4 3 3 4 2 +--R 84a b + 132a b + 80a b +--R * +--R coth(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 9 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (- 32b - 32a b + 32a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 8b + 216a b + 280a b + 136a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 16b + 80a b + 176a b + 48a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (16b + 64a b + 160a b + 64a b - 48a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 9 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (32b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (8b - 216a b - 280a b - 136a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (16b - 80a b - 176a b - 48a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 16b - 64a b - 160a b - 64a b + 48a b )cosh(x) +--R * +--R coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 10 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (8b + 8a b + 32a b + 72a b + 40a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (112b + 144a b + 176a b + 112a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (56b + 48a b - 72a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 40b - 264a b - 280a b - 120a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 48b - 56a b - 8a b + 56a b + 56a b +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 10 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 8b - 8a b - 32a b - 72a b - 40a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 112b - 144a b - 176a b - 112a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 56b - 48a b + 72a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (40b + 264a b + 280a b + 120a b + 64a b )cosh(x) + 48b +--R + +--R 5 2 4 3 3 4 2 +--R 56a b + 8a b - 56a b - 56a b +--R * +--R coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 11 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 9 +--R (24b + 24a b + 8a b + 40a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (136b + 168a b + 104a b - 8a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (104b + 56a b - 120a b + 8a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (16b + 64a b + 160a b + 64a b - 48a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (80a b - 16a b - 80a b + 16a b )cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 11 +--R (24b + 72a b + 72a b + 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 9 +--R (- 24b - 24a b - 8a b - 40a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 136b - 168a b - 104a b + 8a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 104b - 56a b + 120a b - 8a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 16b - 64a b - 160a b - 64a b + 48a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 80a b + 16a b + 80a b - 16a b )cosh(x) +--R * +--R coth(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 12 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 6 5 3 3 4 2 10 +--R (8b + 8a b + 8a b + 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (48b + 72a b + 32a b - 24a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (40b + 48a b + 40a b + 96a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 28b - 60a b - 84a b - 132a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 48b - 56a b - 8a b + 56a b + 56a b )cosh(x) - 16b +--R + +--R 2 4 4 2 +--R 32a b - 16a b +--R * +--R 3 +--R coth(x) +--R + +--R 6 5 2 4 3 3 12 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 6 5 3 3 4 2 10 +--R (- 8b - 8a b - 8a b - 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 48b - 72a b - 32a b + 24a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 40b - 48a b - 40a b - 96a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (28b + 60a b + 84a b + 132a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 2 4 +--R (48b + 56a b + 8a b - 56a b - 56a b )cosh(x) + 16b - 32a b +--R + +--R 4 2 +--R 16a b +--R * +--R coth(x) +--R * +--R tanh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (4b + 12a b + 12a b + 4a b )coth(x) - 4b - 12a b - 12a b +--R + +--R 3 3 +--R - 4a b +--R * +--R 12 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 2 +--R (24b + 72a b + 72a b + 24a b )cosh(x)coth(x) +--R + +--R 6 5 2 4 3 3 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 3 3 +--R (56b + 168a b + 168a b + 56a b )cosh(x) - 8b - 8a b - 8a b +--R + +--R 4 2 +--R - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 2 6 5 3 3 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) + 8b + 8a b + 8a b +--R + +--R 4 2 +--R 8a b +--R * +--R 10 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 24b - 24a b - 8a b - 40a b - 32a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (24b + 24a b + 8a b + 40a b + 32a b )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 8b - 8a b - 32a b - 72a b - 40a b )cosh(x) - 48b +--R + +--R 5 2 4 3 3 4 2 +--R - 72a b - 32a b + 24a b + 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 4 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 5 +--R (8b + 8a b + 32a b + 72a b + 40a b )cosh(x) + 48b + 72a b +--R + +--R 2 4 3 3 4 2 +--R 32a b - 24a b - 32a b +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 80b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (32b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 136b - 168a b - 104a b + 8a b + 80a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 5 +--R (80b + 240a b + 240a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 32b - 32a b + 32a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (136b + 168a b + 104a b - 8a b - 80a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 112b - 336a b - 336a b - 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (16b + 16a b + 32a b + 80a b + 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 112b - 144a b - 176a b - 112a b + 32a b )cosh(x) - 40b +--R + +--R 5 2 4 3 3 4 2 +--R - 48a b - 40a b - 96a b - 64a b +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 6 +--R (112b + 336a b + 336a b + 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 16b - 16a b - 32a b - 80a b - 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (112b + 144a b + 176a b + 112a b - 32a b )cosh(x) + 40b +--R + +--R 5 2 4 3 3 4 2 +--R 48a b + 40a b + 96a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (- 80b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 16b - 16a b + 80a b + 144a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (8b - 216a b - 280a b - 136a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 104b - 56a b + 120a b - 8a b - 80a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 7 +--R (80b + 240a b + 240a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (16b + 16a b - 80a b - 144a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 8b + 216a b + 280a b + 136a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (104b + 56a b - 120a b + 8a b + 80a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 8 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (16b + 16a b + 32a b + 80a b + 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (64b - 336a b - 352a b - 80a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 56b - 48a b + 72a b + 64a b )cosh(x) + 28b + 60a b +--R + +--R 2 4 3 3 4 2 +--R 84a b + 132a b + 80a b +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 8 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 16b - 16a b - 32a b - 80a b - 48a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 64b + 336a b + 352a b + 80a b + 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (56b + 48a b - 72a b - 64a b )cosh(x) - 28b - 60a b - 84a b +--R + +--R 3 3 4 2 +--R - 132a b - 80a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 9 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (32b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (8b - 216a b - 280a b - 136a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (16b - 80a b - 176a b - 48a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 16b - 64a b - 160a b - 64a b + 48a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 9 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 7 +--R (- 32b - 32a b + 32a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 8b + 216a b + 280a b + 136a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 16b + 80a b + 176a b + 48a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (16b + 64a b + 160a b + 64a b - 48a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 10 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 8b - 8a b - 32a b - 72a b - 40a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 112b - 144a b - 176a b - 112a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 56b - 48a b + 72a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (40b + 264a b + 280a b + 120a b + 64a b )cosh(x) + 48b +--R + +--R 5 2 4 3 3 4 2 +--R 56a b + 8a b - 56a b - 56a b +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 10 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (8b + 8a b + 32a b + 72a b + 40a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (112b + 144a b + 176a b + 112a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (56b + 48a b - 72a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 40b - 264a b - 280a b - 120a b - 64a b )cosh(x) - 48b +--R + +--R 5 2 4 3 3 4 2 +--R - 56a b - 8a b + 56a b + 56a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 11 +--R (24b + 72a b + 72a b + 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 9 +--R (- 24b - 24a b - 8a b - 40a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (- 136b - 168a b - 104a b + 8a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 104b - 56a b + 120a b - 8a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 16b - 64a b - 160a b - 64a b + 48a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 80a b + 16a b + 80a b - 16a b )cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 11 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 9 +--R (24b + 24a b + 8a b + 40a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 7 +--R (136b + 168a b + 104a b - 8a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (104b + 56a b - 120a b + 8a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (16b + 64a b + 160a b + 64a b - 48a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (80a b - 16a b - 80a b + 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 6 5 2 4 3 3 12 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 6 5 3 3 4 2 10 +--R (- 8b - 8a b - 8a b - 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (- 48b - 72a b - 32a b + 24a b + 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 40b - 48a b - 40a b - 96a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (28b + 60a b + 84a b + 132a b + 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 2 4 +--R (48b + 56a b + 8a b - 56a b - 56a b )cosh(x) + 16b - 32a b +--R + +--R 4 2 +--R 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 2 4 3 3 12 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 6 5 3 3 4 2 10 +--R (8b + 8a b + 8a b + 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 8 +--R (48b + 72a b + 32a b - 24a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (40b + 48a b + 40a b + 96a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 28b - 60a b - 84a b - 132a b - 80a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 2 4 +--R (- 48b - 56a b - 8a b + 56a b + 56a b )cosh(x) - 16b + 32a b +--R + +--R 4 2 +--R - 16a b +--R / +--R 4 3 2 2 2 3 2 2 3 14 +--R ((3b + 2a b - a b )coth(x) + 3a b + 2a b - a b)sinh(x) +--R + +--R 4 3 2 2 2 +--R (18b + 12a b - 6a b )cosh(x)coth(x) +--R + +--R 3 2 2 3 +--R (18a b + 12a b - 6a b)cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (33b + 22a b - 11a b )cosh(x) + 5b + 3a b - a b +--R + +--R 3 +--R a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 2 3 2 2 3 4 +--R (33a b + 22a b - 11a b)cosh(x) + 5a b + 3a b - a b + a +--R * +--R 12 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (- 12b - 8a b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (20b + 12a b - 4a b + 4a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 3 +--R (- 12a b - 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (20a b + 12a b - 4a b + 4a )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (- 117b - 78a b + 39a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (10b + 6a b - 2a b + 2a b)cosh(x) - 10b - 4a b +--R + +--R 2 2 3 +--R 2a b - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 4 +--R (- 117a b - 78a b + 39a b)cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (10a b + 6a b - 2a b + 2a )cosh(x) - 10a b - 4a b +--R + +--R 3 4 +--R 2a b - 4a +--R * +--R 10 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (- 114b - 76a b + 38a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 60b - 36a b + 12a b - 12a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 36b - 24a b + 4a b - 8a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 5 +--R (- 114a b - 76a b + 38a b)cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 60a b - 36a b + 12a b - 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 36a b - 24a b + 4a b - 8a )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (81b + 54a b - 27a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 85b - 51a b + 17a b - 17a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 +--R (- 34b - 52a b - 6a b + 12a b)cosh(x) - 34b +--R + +--R 3 2 2 3 +--R - 26a b + 10a b + 18a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 6 +--R (81a b + 54a b - 27a b)cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (- 85a b - 51a b + 17a b - 17a )cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (- 34a b - 52a b - 6a b + 12a )cosh(x) - 34a b - 26a b +--R + +--R 3 4 +--R 10a b + 18a +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (216b + 144a b - 72a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (40b + 24a b - 8a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (16b - 32a b - 16a b + 32a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 72b - 24a b + 8a b + 24a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 7 +--R (216a b + 144a b - 72a b)cosh(x) +--R + +--R 3 2 2 3 4 5 +--R (40a b + 24a b - 8a b + 8a )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (16a b - 32a b - 16a b + 32a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 72a b - 24a b + 8a b + 24a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (81b + 54a b - 27a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (140b + 84a b - 28a b + 28a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (44b + 56a b + 4a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 +--R (- 8b + 56a b - 24a b - 24a b)cosh(x) - 17b +--R + +--R 3 2 2 3 +--R - 10a b - 33a b - 40a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 8 +--R (81a b + 54a b - 27a b)cosh(x) +--R + +--R 3 2 2 3 4 6 +--R (140a b + 84a b - 28a b + 28a )cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (44a b + 56a b + 4a b - 8a )cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (- 8a b + 56a b - 24a b - 24a )cosh(x) - 17a b - 10a b +--R + +--R 3 4 +--R - 33a b - 40a +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 9 +--R (- 114b - 76a b + 38a b )cosh(x) +--R + +--R 4 3 2 2 3 7 +--R (40b + 24a b - 8a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (40b + 112a b + 24a b - 48a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (72b + 24a b - 8a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 30b + 52a b + 66a b - 16a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 9 +--R (- 114a b - 76a b + 38a b)cosh(x) +--R + +--R 3 2 2 3 4 7 +--R (40a b + 24a b - 8a b + 8a )cosh(x) +--R + +--R 3 2 2 3 4 5 +--R (40a b + 112a b + 24a b - 48a )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (72a b + 24a b - 8a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 30a b + 52a b + 66a b - 16a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 10 +--R (- 117b - 78a b + 39a b )cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (- 85b - 51a b + 17a b - 17a b)cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (44b + 56a b + 4a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (84b - 60a b + 28a b + 12a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 +--R (33b + 42a b + 49a b + 40a b)cosh(x) + 25b +--R + +--R 3 2 2 3 +--R 27a b + 43a b + 41a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 10 +--R (- 117a b - 78a b + 39a b)cosh(x) +--R + +--R 3 2 2 3 4 8 +--R (- 85a b - 51a b + 17a b - 17a )cosh(x) +--R + +--R 3 2 2 3 4 6 +--R (44a b + 56a b + 4a b - 8a )cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (84a b - 60a b + 28a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (33a b + 42a b + 49a b + 40a )cosh(x) + 25a b + 27a b +--R + +--R 3 4 +--R 43a b + 41a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 11 +--R (- 12b - 8a b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 9 +--R (- 60b - 36a b + 12a b - 12a b)cosh(x) +--R + +--R 4 3 2 2 3 7 +--R (16b - 32a b - 16a b + 32a b)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (72b + 24a b - 8a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (92b - 40a b - 100a b + 32a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 12b - 84a b - 100a b - 28a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 11 +--R (- 12a b - 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 4 9 +--R (- 60a b - 36a b + 12a b - 12a )cosh(x) +--R + +--R 3 2 2 3 4 7 +--R (16a b - 32a b - 16a b + 32a )cosh(x) +--R + +--R 3 2 2 3 4 5 +--R (72a b + 24a b - 8a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (92a b - 40a b - 100a b + 32a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 12a b - 84a b - 100a b - 28a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 12 +--R (33b + 22a b - 11a b )cosh(x) +--R + +--R 4 3 2 2 3 10 +--R (10b + 6a b - 2a b + 2a b)cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (- 34b - 52a b - 6a b + 12a b)cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 8b + 56a b - 24a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (33b + 42a b + 49a b + 40a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 +--R (54b + 162a b + 98a b - 10a b)cosh(x) + 24b +--R + +--R 3 2 2 3 +--R 12a b - 16a b - 20a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 12 +--R (33a b + 22a b - 11a b)cosh(x) +--R + +--R 3 2 2 3 4 10 +--R (10a b + 6a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 8 +--R (- 34a b - 52a b - 6a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 6 +--R (- 8a b + 56a b - 24a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (33a b + 42a b + 49a b + 40a )cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 +--R (54a b + 162a b + 98a b - 10a )cosh(x) + 24a b + 12a b +--R + +--R 3 4 +--R - 16a b - 20a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 13 +--R (18b + 12a b - 6a b )cosh(x) +--R + +--R 4 3 2 2 3 11 +--R (20b + 12a b - 4a b + 4a b)cosh(x) +--R + +--R 4 3 2 2 3 9 +--R (- 36b - 24a b + 4a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 7 +--R (- 72b - 24a b + 8a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 30b + 52a b + 66a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 12b - 84a b - 100a b - 28a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 16b - 40a b + 32a b + 24a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 13 +--R (18a b + 12a b - 6a b)cosh(x) +--R + +--R 3 2 2 3 4 11 +--R (20a b + 12a b - 4a b + 4a )cosh(x) +--R + +--R 3 2 2 3 4 9 +--R (- 36a b - 24a b + 4a b - 8a )cosh(x) +--R + +--R 3 2 2 3 4 7 +--R (- 72a b - 24a b + 8a b + 24a )cosh(x) +--R + +--R 3 2 2 3 4 5 +--R (- 30a b + 52a b + 66a b - 16a )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 12a b - 84a b - 100a b - 28a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 16a b - 40a b + 32a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 14 +--R (3b + 2a b - a b )cosh(x) +--R + +--R 4 3 2 2 3 12 +--R (5b + 3a b - a b + a b)cosh(x) +--R + +--R 4 3 2 2 3 10 +--R (- 10b - 4a b + 2a b - 4a b)cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (- 34b - 26a b + 10a b + 18a b)cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 17b - 10a b - 33a b - 40a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (25b + 27a b + 43a b + 41a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (24b + 12a b - 16a b - 20a b)cosh(x) + 4b - 4a b +--R + +--R 2 2 3 +--R - 4a b + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 14 +--R (3a b + 2a b - a b)cosh(x) +--R + +--R 3 2 2 3 4 12 +--R (5a b + 3a b - a b + a )cosh(x) +--R + +--R 3 2 2 3 4 10 +--R (- 10a b - 4a b + 2a b - 4a )cosh(x) +--R + +--R 3 2 2 3 4 8 +--R (- 34a b - 26a b + 10a b + 18a )cosh(x) +--R + +--R 3 2 2 3 4 6 +--R (- 17a b - 10a b - 33a b - 40a )cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (25a b + 27a b + 43a b + 41a )cosh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 3 +--R (24a b + 12a b - 16a b - 20a )cosh(x) + 4a b - 4a b - 4a b +--R + +--R 4 +--R 4a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 14 +--R (- 3b - 2a b + a b )sinh(x) +--R + +--R 4 3 2 2 13 +--R (- 18b - 12a b + 6a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 3 +--R ((- 33b - 22a b + 11a b )cosh(x) - 5b - 3a b + a b - a b) +--R * +--R 12 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (12b + 8a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 20b - 12a b + 4a b - 4a b)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (117b + 78a b - 39a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 10b - 6a b + 2a b - 2a b)cosh(x) + 10b + 4a b - 2a b +--R + +--R 3 +--R 4a b +--R * +--R 10 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (114b + 76a b - 38a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (60b + 36a b - 12a b + 12a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (36b + 24a b - 4a b + 8a b)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (- 81b - 54a b + 27a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (85b + 51a b - 17a b + 17a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (34b + 52a b + 6a b - 12a b)cosh(x) + 34b + 26a b +--R + +--R 2 2 3 +--R - 10a b - 18a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (- 216b - 144a b + 72a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 40b - 24a b + 8a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 16b + 32a b + 16a b - 32a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (72b + 24a b - 8a b - 24a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (- 81b - 54a b + 27a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 140b - 84a b + 28a b - 28a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 44b - 56a b - 4a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (8b - 56a b + 24a b + 24a b)cosh(x) + 17b + 10a b +--R + +--R 2 2 3 +--R 33a b + 40a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 9 +--R (114b + 76a b - 38a b )cosh(x) +--R + +--R 4 3 2 2 3 7 +--R (- 40b - 24a b + 8a b - 8a b)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 40b - 112a b - 24a b + 48a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 72b - 24a b + 8a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (30b - 52a b - 66a b + 16a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 10 +--R (117b + 78a b - 39a b )cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (85b + 51a b - 17a b + 17a b)cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 44b - 56a b - 4a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 84b + 60a b - 28a b - 12a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 33b - 42a b - 49a b - 40a b)cosh(x) - 25b - 27a b +--R + +--R 2 2 3 +--R - 43a b - 41a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 11 +--R (12b + 8a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 9 +--R (60b + 36a b - 12a b + 12a b)cosh(x) +--R + +--R 4 3 2 2 3 7 +--R (- 16b + 32a b + 16a b - 32a b)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 72b - 24a b + 8a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 92b + 40a b + 100a b - 32a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (12b + 84a b + 100a b + 28a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 12 +--R (- 33b - 22a b + 11a b )cosh(x) +--R + +--R 4 3 2 2 3 10 +--R (- 10b - 6a b + 2a b - 2a b)cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (34b + 52a b + 6a b - 12a b)cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (8b - 56a b + 24a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 33b - 42a b - 49a b - 40a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 54b - 162a b - 98a b + 10a b)cosh(x) - 24b - 12a b +--R + +--R 2 2 3 +--R 16a b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 13 +--R (- 18b - 12a b + 6a b )cosh(x) +--R + +--R 4 3 2 2 3 11 +--R (- 20b - 12a b + 4a b - 4a b)cosh(x) +--R + +--R 4 3 2 2 3 9 +--R (36b + 24a b - 4a b + 8a b)cosh(x) +--R + +--R 4 3 2 2 3 7 +--R (72b + 24a b - 8a b - 24a b)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (30b - 52a b - 66a b + 16a b)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (12b + 84a b + 100a b + 28a b)cosh(x) +--R + +--R 4 3 2 2 3 +--R (16b + 40a b - 32a b - 24a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 14 +--R (- 3b - 2a b + a b )cosh(x) +--R + +--R 4 3 2 2 3 12 +--R (- 5b - 3a b + a b - a b)cosh(x) +--R + +--R 4 3 2 2 3 10 +--R (10b + 4a b - 2a b + 4a b)cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (34b + 26a b - 10a b - 18a b)cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (17b + 10a b + 33a b + 40a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 25b - 27a b - 43a b - 41a b)cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 24b - 12a b + 16a b + 20a b)cosh(x) - 4b + 4a b + 4a b +--R + +--R 3 +--R - 4a b +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 5 4 2 3 3 2 2 4 2 3 +--R (- 4b - 12a b - 12a b - 4a b )coth(x) - 4a b - 12a b +--R + +--R 3 2 4 +--R - 12a b - 4a b +--R * +--R 12 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 2 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x)coth(x) +--R + +--R 4 2 3 3 2 4 +--R (- 24a b - 72a b - 72a b - 24a b)cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) + 8b + 8a b +--R + +--R 3 2 4 +--R 8a b + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (- 56a b - 168a b - 168a b - 56a b)cosh(x) + 8a b + 8a b +--R + +--R 4 5 +--R 8a b + 8a +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (24b + 24a b + 8a b + 40a b + 32a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 56a b - 168a b - 168a b - 56a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (24a b + 24a b + 8a b + 40a b + 32a )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (8b + 8a b + 32a b + 72a b + 40a b)cosh(x) + 48b +--R + +--R 4 2 3 3 2 4 +--R 72a b + 32a b - 24a b - 32a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 4 +--R (4a b + 12a b + 12a b + 4a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 4 +--R (8a b + 8a b + 32a b + 72a b + 40a )cosh(x) + 48a b +--R + +--R 2 3 3 2 4 5 +--R 72a b + 32a b - 24a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (80b + 240a b + 240a b + 80a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (- 32b - 32a b + 32a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (136b + 168a b + 104a b - 8a b - 80a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 5 +--R (80a b + 240a b + 240a b + 80a b)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 32a b - 32a b + 32a b + 32a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (136a b + 168a b + 104a b - 8a b - 80a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (112b + 336a b + 336a b + 112a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 16b - 16a b - 32a b - 80a b - 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (112b + 144a b + 176a b + 112a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 40b + 48a b + 40a b + 96a b + 64a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 6 +--R (112a b + 336a b + 336a b + 112a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 16a b - 16a b - 32a b - 80a b - 48a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 4 +--R (112a b + 144a b + 176a b + 112a b - 32a )cosh(x) + 40a b +--R + +--R 2 3 3 2 4 5 +--R 48a b + 40a b + 96a b + 64a +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (80b + 240a b + 240a b + 80a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (16b + 16a b - 80a b - 144a b - 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 8b + 216a b + 280a b + 136a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (104b + 56a b - 120a b + 8a b + 80a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 7 +--R (80a b + 240a b + 240a b + 80a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (16a b + 16a b - 80a b - 144a b - 64a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 8a b + 216a b + 280a b + 136a b + 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (104a b + 56a b - 120a b + 8a b + 80a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 16b - 16a b - 32a b - 80a b - 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 64b + 336a b + 352a b + 80a b + 128a b)cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (56b + 48a b - 72a b - 64a b )cosh(x) - 28b - 60a b +--R + +--R 2 3 3 2 4 +--R - 84a b - 132a b - 80a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 8 +--R (4a b + 12a b + 12a b + 4a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (- 16a b - 16a b - 32a b - 80a b - 48a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 64a b + 336a b + 352a b + 80a b + 128a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (56a b + 48a b - 72a b - 64a b)cosh(x) - 28a b - 60a b +--R + +--R 3 2 4 5 +--R - 84a b - 132a b - 80a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 32b - 32a b + 32a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 8b + 216a b + 280a b + 136a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 16b + 80a b + 176a b + 48a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (16b + 64a b + 160a b + 64a b - 48a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 9 +--R (- 56a b - 168a b - 168a b - 56a b)cosh(x) +--R + +--R 4 2 3 3 2 4 7 +--R (- 32a b - 32a b + 32a b + 32a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 8a b + 216a b + 280a b + 136a b + 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 16a b + 80a b + 176a b + 48a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (16a b + 64a b + 160a b + 64a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (- 56b - 168a b - 168a b - 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (8b + 8a b + 32a b + 72a b + 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (112b + 144a b + 176a b + 112a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (56b + 48a b - 72a b - 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 40b - 264a b - 280a b - 120a b - 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 48b - 56a b - 8a b + 56a b + 56a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 10 +--R (- 56a b - 168a b - 168a b - 56a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (8a b + 8a b + 32a b + 72a b + 40a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (112a b + 144a b + 176a b + 112a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (56a b + 48a b - 72a b - 64a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 4 +--R (- 40a b - 264a b - 280a b - 120a b - 64a )cosh(x) - 48a b +--R + +--R 2 3 3 2 4 5 +--R - 56a b - 8a b + 56a b + 56a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (- 24b - 72a b - 72a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (24b + 24a b + 8a b + 40a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (136b + 168a b + 104a b - 8a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (104b + 56a b - 120a b + 8a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (16b + 64a b + 160a b + 64a b - 48a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (80a b - 16a b - 80a b + 16a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 11 +--R (- 24a b - 72a b - 72a b - 24a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 9 +--R (24a b + 24a b + 8a b + 40a b + 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 7 +--R (136a b + 168a b + 104a b - 8a b - 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (104a b + 56a b - 120a b + 8a b + 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (16a b + 64a b + 160a b + 64a b - 48a )cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (80a b - 16a b - 80a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 5 4 3 2 4 10 +--R (8b + 8a b + 8a b + 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (48b + 72a b + 32a b - 24a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (40b + 48a b + 40a b + 96a b + 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 28b - 60a b - 84a b - 132a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (- 48b - 56a b - 8a b + 56a b + 56a b)cosh(x) - 16b +--R + +--R 2 3 4 +--R 32a b - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 4 2 3 3 2 4 12 +--R (- 4a b - 12a b - 12a b - 4a b)cosh(x) +--R + +--R 4 2 3 4 5 10 +--R (8a b + 8a b + 8a b + 8a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (48a b + 72a b + 32a b - 24a b - 32a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (40a b + 48a b + 40a b + 96a b + 64a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 28a b - 60a b - 84a b - 132a b - 80a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 4 +--R (- 48a b - 56a b - 8a b + 56a b + 56a )cosh(x) - 16a b +--R + +--R 3 2 5 +--R 32a b - 16a +--R * +--R 2 +--R tanh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (4b + 12a b + 12a b + 4a b )sinh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (24b + 72a b + 72a b + 24a b )cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 3 2 +--R (56b + 168a b + 168a b + 56a b )cosh(x) - 8b - 8a b - 8a b +--R + +--R 4 +--R - 8a b +--R * +--R 10 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 24b - 24a b - 8a b - 40a b - 32a b)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 4 +--R (- 8b - 8a b - 32a b - 72a b - 40a b)cosh(x) - 48b - 72a b +--R + +--R 2 3 3 2 4 +--R - 32a b + 24a b + 32a b +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 5 +--R (- 80b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (32b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 136b - 168a b - 104a b + 8a b + 80a b)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 112b - 336a b - 336a b - 112a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (16b + 16a b + 32a b + 80a b + 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (- 112b - 144a b - 176a b - 112a b + 32a b)cosh(x) - 40b +--R + +--R 4 2 3 3 2 4 +--R - 48a b - 40a b - 96a b - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (- 80b - 240a b - 240a b - 80a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 16b - 16a b + 80a b + 144a b + 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (8b - 216a b - 280a b - 136a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 104b - 56a b + 120a b - 8a b - 80a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 4b - 12a b - 12a b - 4a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (16b + 16a b + 32a b + 80a b + 48a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (64b - 336a b - 352a b - 80a b - 128a b)cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (- 56b - 48a b + 72a b + 64a b )cosh(x) + 28b + 60a b +--R + +--R 2 3 3 2 4 +--R 84a b + 132a b + 80a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 9 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 7 +--R (32b + 32a b - 32a b - 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (8b - 216a b - 280a b - 136a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (16b - 80a b - 176a b - 48a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 16b - 64a b - 160a b - 64a b + 48a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 10 +--R (56b + 168a b + 168a b + 56a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 8b - 8a b - 32a b - 72a b - 40a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 112b - 144a b - 176a b - 112a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 56b - 48a b + 72a b + 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (40b + 264a b + 280a b + 120a b + 64a b)cosh(x) + 48b +--R + +--R 4 2 3 3 2 4 +--R 56a b + 8a b - 56a b - 56a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 11 +--R (24b + 72a b + 72a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 9 +--R (- 24b - 24a b - 8a b - 40a b - 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 136b - 168a b - 104a b + 8a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 104b - 56a b + 120a b - 8a b - 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- 16b - 64a b - 160a b - 64a b + 48a b)cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 80a b + 16a b + 80a b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 3 3 2 12 +--R (4b + 12a b + 12a b + 4a b )cosh(x) +--R + +--R 5 4 3 2 4 10 +--R (- 8b - 8a b - 8a b - 8a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 48b - 72a b - 32a b + 24a b + 32a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 40b - 48a b - 40a b - 96a b - 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (28b + 60a b + 84a b + 132a b + 80a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 2 3 4 +--R (48b + 56a b + 8a b - 56a b - 56a b)cosh(x) + 16b - 32a b + 16a b +--R * +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R Type: Expression Integer +--E 296 + +--S 297 of 508 +t0358:= 1/(1+coth(x)^2)^(1/2) +--R +--R +--R 1 +--R (261) --------------- +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R Type: Expression Integer +--E 297 + +--S 298 of 508 +r0358:= 1/2*2^(1/2)*atanh(2^(1/2)*coth(x)/(1+coth(x)^2)^(1/2)) +--R +--R +--R +-+ +--R +-+ \|2 coth(x) +--R \|2 atanh(---------------) +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R (262) -------------------------- +--R 2 +--R Type: Expression Integer +--E 298 + +--S 299 of 508 +a0358:= integrate(t0358,x) +--R +--R +--R (263) +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +-+ 2 +--R |------------------------------------- + \|2 sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +-+ 2 +-+ +--R 2\|2 cosh(x)sinh(x) + \|2 cosh(x) - \|2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R / +--R 4 +--R Type: Union(Expression Integer,...) +--E 299 + +--S 300 of 508 +m0358:= a0358-r0358 +--R +--R +--R (264) +--R +-+ +--R \|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +-+ 2 +--R |------------------------------------- + \|2 sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ +-+ 2 +-+ +--R 2\|2 cosh(x)sinh(x) + \|2 cosh(x) - \|2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|2 +--R * +--R log +--R 2 2 +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 2) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + \|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + 2\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R \|2 cosh(x) + 2\|2 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-+ +--R +-+ \|2 coth(x) +--R - 2\|2 atanh(---------------) +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R / +--R 4 +--R Type: Expression Integer +--E 300 + +--S 301 of 508 +d0358:= D(m0358,x) +--R +--R +--R (265) +--R 8 2 6 5 +--R - sinh(x) + (4cosh(x) - 3)sinh(x) + 2cosh(x)sinh(x) +--R + +--R 4 2 4 +--R (- 6cosh(x) + 3cosh(x) + 4)sinh(x) +--R + +--R 3 3 +--R (- 4cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (4cosh(x) + 3cosh(x) + 8cosh(x) )sinh(x) +--R + +--R 5 3 8 6 4 +--R (2cosh(x) - 8cosh(x) )sinh(x) - cosh(x) - 3cosh(x) + 4cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +-+ 6 +--R 2\|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 4\|2 sinh(x) +--R + +--R +-+ 3 5 +--R - 4\|2 cosh(x) sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 4\|2 cosh(x) - 4\|2 cosh(x) - 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4\|2 cosh(x) + 4\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 2 +--R (- 4\|2 cosh(x) - 12\|2 cosh(x) )sinh(x) +--R + +--R +-+ 7 +-+ 3 +-+ 8 +--R (4\|2 cosh(x) + 4\|2 cosh(x) )sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 4\|2 cosh(x) - 6\|2 cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R + +--R +-+ 4 +-+ 3 +-+ 2 2 +--R - 4\|2 sinh(x) + 8\|2 cosh(x)sinh(x) - 8\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R 8\|2 cosh(x) sinh(x) - 4\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 10 9 2 8 +--R - 2sinh(x) - 8cosh(x)sinh(x) - 10cosh(x) sinh(x) +--R + +--R 4 6 5 5 +--R (12cosh(x) + 2)sinh(x) + (16cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 2 4 3 3 +--R (12cosh(x) + 14cosh(x) + 12)sinh(x) + (16cosh(x) - 8cosh(x))sinh(x) +--R + +--R 8 4 2 2 +--R (- 10cosh(x) + 14cosh(x) + 24cosh(x) )sinh(x) +--R + +--R 9 5 3 10 6 +--R (- 8cosh(x) + 8cosh(x) - 8cosh(x) )sinh(x) - 2cosh(x) + 2cosh(x) +--R + +--R 4 +--R 12cosh(x) +--R / +--R +-+ 4 +-+ 3 +-+ 2 2 +--R 4\|2 sinh(x) - 8\|2 cosh(x)sinh(x) + 8\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R - 8\|2 cosh(x) sinh(x) + 4\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 10 9 2 8 +--R 2sinh(x) + 8cosh(x)sinh(x) + 10cosh(x) sinh(x) +--R + +--R 4 6 5 5 +--R (- 12cosh(x) - 2)sinh(x) + (- 16cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 2 4 +--R (- 12cosh(x) - 14cosh(x) - 12)sinh(x) +--R + +--R 3 3 +--R (- 16cosh(x) + 8cosh(x))sinh(x) +--R + +--R 8 4 2 2 +--R (10cosh(x) - 14cosh(x) - 24cosh(x) )sinh(x) +--R + +--R 9 5 3 10 6 +--R (8cosh(x) - 8cosh(x) + 8cosh(x) )sinh(x) + 2cosh(x) - 2cosh(x) +--R + +--R 4 +--R - 12cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R Type: Expression Integer +--E 301 + +--S 302 of 508 +t0359:= 1/(-1-coth(x)^2)^(1/2) +--R +--R +--R 1 +--R (266) ----------------- +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R Type: Expression Integer +--E 302 + +--S 303 of 508 +r0359:= 1/2*2^(1/2)*atan(2^(1/2)*coth(x)/(-1-coth(x)^2)^(1/2)) +--R +--R +--R +-+ +--R +-+ \|2 coth(x) +--R \|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R (267) --------------------------- +--R 2 +--R Type: Expression Integer +--E 303 + +--S 304 of 508 +a0359:= integrate(t0359,x) +--R +--R +--R (268) +--R +-------------+ +--R | x 4 +---+ x 2 +---+ +--R +---+ \|- 2(%e ) - 2 + \|- 2 (%e ) - \|- 2 +--R - \|- 2 log(----------------------------------------) +--R x 2 +--R (%e ) +--R + +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R / +--R 4 +--R Type: Union(Expression Integer,...) +--E 304 + +--S 305 of 508 +m0359:= a0359-r0359 +--R +--R +--R (269) +--R +-------------+ +--R | x 4 +---+ x 2 +---+ +--R +---+ \|- 2(%e ) - 2 + \|- 2 (%e ) - \|- 2 +--R - \|- 2 log(----------------------------------------) +--R x 2 +--R (%e ) +--R + +--R +---+ +--R \|- 2 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +-+ +--R +-+ \|2 coth(x) +--R - 2\|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R / +--R 4 +--R Type: Expression Integer +--E 305 + +--S 306 of 508 +d0359:= D(m0359,x) +--R +--R +--R (270) +--R +-------------+ +--R x 6 x 4 x 2 | x 4 +---+ x 6 +--R (- (%e ) + (%e ) - 2(%e ) + 2)\|- 2(%e ) - 2 + 2\|- 2 (%e ) +--R + +--R +---+ x 4 +---+ x 2 +---+ +--R - 2\|- 2 (%e ) + 2\|- 2 (%e ) - 2\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R + +--R +-------------+ +--R +---+ x 4 +---+ | x 4 x 8 x 4 +--R (- 2\|- 2 (%e ) - 2\|- 2 )\|- 2(%e ) - 2 - 2(%e ) - 6(%e ) - 4 +--R / +--R +-------------+ +--R +---+ x 4 +---+ | x 4 x 8 x 4 +--R ((2\|- 2 (%e ) + 2\|- 2 )\|- 2(%e ) - 2 + 2(%e ) + 6(%e ) + 4) +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R Type: Expression Integer +--E 306 + +--S 307 of 508 +t0360:= 1/(a+b*coth(x)^2)^(1/2) +--R +--R +--R 1 +--R (271) ----------------- +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R Type: Expression Integer +--E 307 + +--S 308 of 508 +r0360:= atanh((a+b)^(1/2)*coth(x)/(a+b*coth(x)^2)^(1/2))/(a+b)^(1/2) +--R +--R +--R +-----+ +--R coth(x)\|b + a +--R atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R (272) ------------------------ +--R +-----+ +--R \|b + a +--R Type: Expression Integer +--E 308 + +--S 309 of 508 +a0360:= integrate(t0360,x) +--R +--R +--R (273) +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R log +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R / +--R +-----+ +--R 2\|b + a +--R Type: Union(Expression Integer,...) +--E 309 + +--S 310 of 508 +m0360:= a0360-r0360 +--R +--R +--R (274) +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b - a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R - +--R log +--R 2 2 +--R (- b sinh(x) - 2b cosh(x)sinh(x) - b cosh(x) - b - a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 2a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - a)cosh(x) + b + a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R + +--R +-----+ +--R coth(x)\|b + a +--R - 2atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R / +--R +-----+ +--R 2\|b + a +--R Type: Expression Integer +--E 310 + +--S 311 of 508 +d0360:= D(m0360,x) +--R +--R +--R (275) +--R 2 8 +--R (- b - a b)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((4b + 4a b)cosh(x) - 2b - 2a b - 2a )sinh(x) +--R + +--R 5 +--R 4a b cosh(x)sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- 6b - 6a b)cosh(x) + (2b + 2a b + 2a )cosh(x) + b +--R + +--R 2 +--R 3a b + 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 8a b cosh(x) + (- 4b - 8a b - 4a )cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 +--R (4b + 4a b)cosh(x) + (2b + 2a b + 2a )cosh(x) +--R + +--R 2 2 2 2 +--R (6b + 10a b)cosh(x) + 2b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 2 3 +--R 4a b cosh(x) + (- 4b - 8a b - 4a )cosh(x) +--R + +--R 2 2 +--R (- 4b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (- b - a b)cosh(x) + (- 2b - 2a b - 2a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (b + 3a b + 4a )cosh(x) + (2b - 2a )cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (3b + 5a b + a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 10a b + 2a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 6 +--R (5b + 5a b + 3a b + 3a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 6b - 10a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (6b - 2a b - 6a b + 2a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 6b - 10a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 5b - 5a b - 3a b - 3a )cosh(x) - b - 7a b - 11a b - 5a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 10a b - 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 12b + 4a b + 12a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 6a b + 6a b + 2a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 5b - 5a b - 3a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 10b - 22a b - 14a b - 2a )cosh(x) - 5b - 5a b + 5a b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 10a b + 2a b - 2a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (6b - 2a b - 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (2b + 6a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 2a b - 2a b - 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 3 2 2 3 6 +--R (3b + 5a b + a b - a )cosh(x) + (5b + 5a b + 3a b + 3a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b - 7a b - 11a b - 5a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 5b - 5a b + 5a b + 5a )cosh(x) - 2b + 2a b + 2a b - 2a +--R * +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((2b + 2a b - 2a b - 2a )cosh(x) - 4b - 4a b - 4a b - 4a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (4b + 12a b + 12a b + 4a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 4 2 2 2 +--R (2b + 2a b - 2a b - 2a )cosh(x) + (- 16a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 +--R - 2b - 2a b + 2a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (4b + 12a b + 12a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 4a b - 4a b - 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 4b - 4a b - 4a b - 4a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 10 3 2 2 9 +--R (- b - 2a b - a b)sinh(x) + (- 4b - 8a b - 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 8 +--R ((- 5b - 10a b - 5a b)cosh(x) - 2b - a b + 2a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 6b - 2a b + 6a b + 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (6b + 12a b + 6a b)cosh(x) + (- 4b + 4a b)cosh(x) + 2b +--R + +--R 2 3 +--R 5a b - 3a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (8b + 16a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (6b + 2a b - 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 6a b - 2a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (6b + 12a b + 6a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (12b + 2a b - 12a b - 2a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (6b + 11a b + 8a b + 3a )cosh(x) + 8b + 7a b + 4a b + 5a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 2a b - 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (12b + 12a b + 4a b + 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (6b - 6a b - 14a b - 2a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 8 3 2 6 +--R (- 5b - 10a b - 5a b)cosh(x) + (- 4b + 4a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (6b + 11a b + 8a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (12b + 22a b + 12a b + 2a )cosh(x) + 7b + a b - 3a b - 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 9 +--R (- 4b - 8a b - 4a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (- 6b - 2a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (2b + 10a b + 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (6b - 6a b - 14a b - 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b - 10a b + 6a b + 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 10 3 2 2 3 8 +--R (- b - 2a b - a b)cosh(x) + (- 2b - a b + 2a b + a )cosh(x) +--R + +--R 3 2 3 6 3 2 2 3 4 +--R (2b + 5a b - 3a )cosh(x) + (8b + 7a b + 4a b + 5a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (7b + a b - 3a b - 5a )cosh(x) + 2b - 2a b - 2a b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 3 2 2 3 6 +--R (2b + 2a b - 2a b - 2a )sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((- 2b - 2a b + 2a b + 2a )cosh(x) + 4b + 4a b + 4a b + 4a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 12a b - 12a b - 4a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 4 2 2 2 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) + (16a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 +--R 2b + 2a b - 2a b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 12a b - 12a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b - 4a b + 4a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (2b + 2a b - 2a b - 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (4b + 4a b + 4a b + 4a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (2b + 2a b - 2a b - 2a )cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 10 3 2 2 9 +--R (b + 2a b + a b)sinh(x) + (4b + 8a b + 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 8 +--R ((5b + 10a b + 5a b)cosh(x) + 2b + a b - 2a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 2a b - 6a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 4 3 2 2 3 +--R (- 6b - 12a b - 6a b)cosh(x) + (4b - 4a b)cosh(x) - 2b +--R + +--R 2 3 +--R - 5a b + 3a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (- 8b - 16a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 6b - 2a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 6a b + 2a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (- 6b - 12a b - 6a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 12b - 2a b + 12a b + 2a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 6b - 11a b - 8a b - 3a )cosh(x) - 8b - 7a b - 4a b - 5a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 2a b + 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 12b - 12a b - 4a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b + 6a b + 14a b + 2a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 8 3 2 6 +--R (5b + 10a b + 5a b)cosh(x) + (4b - 4a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 6b - 11a b - 8a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 12b - 22a b - 12a b - 2a )cosh(x) - 7b - a b + 3a b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 9 +--R (4b + 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (6b + 2a b - 6a b - 2a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 2b - 10a b - 6a b + 2a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 6b + 6a b + 14a b + 2a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b + 10a b - 6a b - 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 10 3 2 2 3 8 +--R (b + 2a b + a b)cosh(x) + (2b + a b - 2a b - a )cosh(x) +--R + +--R 3 2 3 6 +--R (- 2b - 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 8b - 7a b - 4a b - 5a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 7b - a b + 3a b + 5a )cosh(x) - 2b + 2a b + 2a b - 2a +--R * +--R +-----+ +--R \|b + a +--R * +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R Type: Expression Integer +--E 311 + +--S 312 of 508 +t0361:= (1+coth(x)^2)^(3/2) +--R +--R +--R +------------+ +--R 2 | 2 +--R (276) (coth(x) + 1)\|coth(x) + 1 +--R Type: Expression Integer +--E 312 + +--S 313 of 508 +r0361:= -5/2*acsch(tanh(x))+2*2^(1/2)*atanh(2^(1/2)*coth(x)/(1+coth(x)^2)^(1/2))-1/2*coth(x)*(1+coth(x)^2)^(1/2) +--R +--R +--R (277) +--R +-+ +------------+ +--R +-+ \|2 coth(x) | 2 +--R 4\|2 atanh(---------------) - coth(x)\|coth(x) + 1 - 5acsch(tanh(x)) +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R ---------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 313 + +--S 314 of 508 +a0361:= integrate(t0361,x) +--R +--R +--R (278) +--R 4 3 2 2 +--R - 10sinh(x) - 40cosh(x)sinh(x) + (- 60cosh(x) + 20)sinh(x) +--R + +--R 3 4 2 +--R (- 40cosh(x) + 40cosh(x))sinh(x) - 10cosh(x) + 20cosh(x) - 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R 5\|2 sinh(x) + 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (140\|2 cosh(x) - 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (280\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (350\|2 cosh(x) - 150\|2 cosh(x) + 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (280\|2 cosh(x) - 200\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (140\|2 cosh(x) - 150\|2 cosh(x) + 90\|2 cosh(x) - 20\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (40\|2 cosh(x) - 60\|2 cosh(x) + 60\|2 cosh(x) - 40\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 5\|2 cosh(x) - 10\|2 cosh(x) + 15\|2 cosh(x) - 20\|2 cosh(x) +--R + +--R +-+ +--R 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 2)sinh(x) + (4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 2 2 +--R 10sinh(x) + 40cosh(x)sinh(x) + (60cosh(x) - 20)sinh(x) +--R + +--R 3 4 2 +--R (40cosh(x) - 40cosh(x))sinh(x) + 10cosh(x) - 20cosh(x) + 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 5\|2 sinh(x) - 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 140\|2 cosh(x) + 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 280\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 350\|2 cosh(x) + 150\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 280\|2 cosh(x) + 200\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 140\|2 cosh(x) + 150\|2 cosh(x) - 90\|2 cosh(x) + 20\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) + 60\|2 cosh(x) - 60\|2 cosh(x) +--R + +--R +-+ +--R 40\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 5\|2 cosh(x) + 10\|2 cosh(x) - 15\|2 cosh(x) + 20\|2 cosh(x) +--R + +--R +-+ +--R - 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 2)sinh(x) + (- 4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 4\|2 sinh(x) + 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (16\|2 cosh(x) - 16\|2 cosh(x))sinh(x) + 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 8\|2 cosh(x) + 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R - 4sinh(x) - 32cosh(x)sinh(x) + (- 112cosh(x) + 8)sinh(x) +--R + +--R 3 5 +--R (- 224cosh(x) + 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 280cosh(x) + 120cosh(x) - 12)sinh(x) +--R + +--R 5 3 3 +--R (- 224cosh(x) + 160cosh(x) - 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 112cosh(x) + 120cosh(x) - 72cosh(x) + 16)sinh(x) +--R + +--R 7 5 3 +--R (- 32cosh(x) + 48cosh(x) - 48cosh(x) + 32cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 4cosh(x) + 8cosh(x) - 12cosh(x) + 16cosh(x) - 8 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- + 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R 4cosh(x)sinh(x) + 2cosh(x) - 2 +--R / +--R +-+ 2 +-+ +-+ 2 +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 4\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 24\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 8\|2 cosh(x) - 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 4sinh(x) + 32cosh(x)sinh(x) + (112cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (224cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (280cosh(x) - 120cosh(x) + 12)sinh(x) +--R + +--R 5 3 3 +--R (224cosh(x) - 160cosh(x) + 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (112cosh(x) - 120cosh(x) + 72cosh(x) - 16)sinh(x) +--R + +--R 7 5 3 8 +--R (32cosh(x) - 48cosh(x) + 48cosh(x) - 32cosh(x))sinh(x) + 4cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) + 12cosh(x) - 16cosh(x) + 8 +--R * +--R log +--R 2 2 +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 4) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) + 4\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 2\|2 cosh(x) + 4\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 2 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 6\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R 4\|2 cosh(x) sinh(x) + \|2 cosh(x) +--R + +--R +-+ 6 +-+ 5 +-+ 2 +-+ 4 +--R \|2 sinh(x) + 6\|2 cosh(x)sinh(x) + (15\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (20\|2 cosh(x) - 4\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (15\|2 cosh(x) - 6\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +-+ 6 +--R (6\|2 cosh(x) - 4\|2 cosh(x) + 12\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R - \|2 cosh(x) + 6\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 2sinh(x) + 16cosh(x)sinh(x) + (56cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (112cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (140cosh(x) - 120cosh(x) + 2)sinh(x) +--R + +--R 5 3 3 +--R (112cosh(x) - 160cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (56cosh(x) - 120cosh(x) + 12cosh(x) - 12)sinh(x) +--R + +--R 7 5 3 8 +--R (16cosh(x) - 48cosh(x) + 8cosh(x) - 24cosh(x))sinh(x) + 2cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) + 2cosh(x) - 12cosh(x) +--R / +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) - 8)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) - 16cosh(x))sinh(x) + 4cosh(x) - 8cosh(x) + 4 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 2\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 56\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 112\|2 cosh(x) + 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 140\|2 cosh(x) + 60\|2 cosh(x) - 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 112\|2 cosh(x) + 80\|2 cosh(x) - 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (- 56\|2 cosh(x) + 60\|2 cosh(x) - 36\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 16\|2 cosh(x) + 24\|2 cosh(x) - 24\|2 cosh(x) + 16\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 2\|2 cosh(x) + 4\|2 cosh(x) - 6\|2 cosh(x) + 8\|2 cosh(x) - 4\|2 +--R Type: Union(Expression Integer,...) +--E 314 + +--S 315 of 508 +m0361:= a0361-r0361 +--R +--R +--R (279) +--R 4 3 2 2 +--R - 10sinh(x) - 40cosh(x)sinh(x) + (- 60cosh(x) + 20)sinh(x) +--R + +--R 3 4 2 +--R (- 40cosh(x) + 40cosh(x))sinh(x) - 10cosh(x) + 20cosh(x) - 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R 5\|2 sinh(x) + 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (140\|2 cosh(x) - 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (280\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (350\|2 cosh(x) - 150\|2 cosh(x) + 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (280\|2 cosh(x) - 200\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (140\|2 cosh(x) - 150\|2 cosh(x) + 90\|2 cosh(x) - 20\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (40\|2 cosh(x) - 60\|2 cosh(x) + 60\|2 cosh(x) - 40\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 5\|2 cosh(x) - 10\|2 cosh(x) + 15\|2 cosh(x) - 20\|2 cosh(x) +--R + +--R +-+ +--R 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 2)sinh(x) + (4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 2 2 +--R 10sinh(x) + 40cosh(x)sinh(x) + (60cosh(x) - 20)sinh(x) +--R + +--R 3 4 2 +--R (40cosh(x) - 40cosh(x))sinh(x) + 10cosh(x) - 20cosh(x) + 10 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 5\|2 sinh(x) - 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 140\|2 cosh(x) + 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 280\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 350\|2 cosh(x) + 150\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 280\|2 cosh(x) + 200\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 140\|2 cosh(x) + 150\|2 cosh(x) - 90\|2 cosh(x) + 20\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) + 60\|2 cosh(x) - 60\|2 cosh(x) +--R + +--R +-+ +--R 40\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 5\|2 cosh(x) + 10\|2 cosh(x) - 15\|2 cosh(x) + 20\|2 cosh(x) +--R + +--R +-+ +--R - 10\|2 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) +--R \|2 |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 2)sinh(x) + (- 4\|2 + 4)cosh(x)sinh(x) +--R + +--R +-+ 2 +--R (- 2\|2 + 2)cosh(x) - 2 +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 4\|2 sinh(x) + 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|2 cosh(x) - 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (16\|2 cosh(x) - 16\|2 cosh(x))sinh(x) + 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 8\|2 cosh(x) + 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R - 4sinh(x) - 32cosh(x)sinh(x) + (- 112cosh(x) + 8)sinh(x) +--R + +--R 3 5 +--R (- 224cosh(x) + 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 280cosh(x) + 120cosh(x) - 12)sinh(x) +--R + +--R 5 3 3 +--R (- 224cosh(x) + 160cosh(x) - 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 112cosh(x) + 120cosh(x) - 72cosh(x) + 16)sinh(x) +--R + +--R 7 5 3 +--R (- 32cosh(x) + 48cosh(x) - 48cosh(x) + 32cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 4cosh(x) + 8cosh(x) - 12cosh(x) + 16cosh(x) - 8 +--R * +--R log +--R +-------------------------------------+ +--R | 2 2 +--R +-+ | 4sinh(x) + 4cosh(x) 2 +--R \|2 |------------------------------------- + 2sinh(x) +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R 4cosh(x)sinh(x) + 2cosh(x) - 2 +--R / +--R +-+ 2 +-+ +-+ 2 +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 4\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 24\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 16\|2 cosh(x) + 16\|2 cosh(x))sinh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 8\|2 cosh(x) - 4\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 4sinh(x) + 32cosh(x)sinh(x) + (112cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (224cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (280cosh(x) - 120cosh(x) + 12)sinh(x) +--R + +--R 5 3 3 +--R (224cosh(x) - 160cosh(x) + 48cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (112cosh(x) - 120cosh(x) + 72cosh(x) - 16)sinh(x) +--R + +--R 7 5 3 8 +--R (32cosh(x) - 48cosh(x) + 48cosh(x) - 32cosh(x))sinh(x) + 4cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) + 12cosh(x) - 16cosh(x) + 8 +--R * +--R log +--R 2 2 +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 4) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) + 4\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 2\|2 cosh(x) + 4\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 2 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 6\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R 4\|2 cosh(x) sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 8\|2 sinh(x) - 32\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 48\|2 cosh(x) + 16\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 32\|2 cosh(x) + 32\|2 cosh(x))sinh(x) - 8\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 16\|2 cosh(x) - 8\|2 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 8 7 2 6 +--R 8sinh(x) + 64cosh(x)sinh(x) + (224cosh(x) - 16)sinh(x) +--R + +--R 3 5 +--R (448cosh(x) - 96cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (560cosh(x) - 240cosh(x) + 24)sinh(x) +--R + +--R 5 3 3 +--R (448cosh(x) - 320cosh(x) + 96cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (224cosh(x) - 240cosh(x) + 144cosh(x) - 32)sinh(x) +--R + +--R 7 5 3 8 +--R (64cosh(x) - 96cosh(x) + 96cosh(x) - 64cosh(x))sinh(x) + 8cosh(x) +--R + +--R 6 4 2 +--R - 16cosh(x) + 24cosh(x) - 32cosh(x) + 16 +--R * +--R +-+ +--R \|2 coth(x) +--R atanh(---------------) +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R + +--R 4 3 +--R 2coth(x)sinh(x) + 8cosh(x)coth(x)sinh(x) +--R + +--R 2 2 +--R (12cosh(x) - 4)coth(x)sinh(x) +--R + +--R 3 +--R (8cosh(x) - 8cosh(x))coth(x)sinh(x) +--R + +--R 4 2 +--R (2cosh(x) - 4cosh(x) + 2)coth(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - \|2 coth(x)sinh(x) - 8\|2 cosh(x)coth(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 28\|2 cosh(x) + 2\|2 )coth(x)sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 56\|2 cosh(x) + 12\|2 cosh(x))coth(x)sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 70\|2 cosh(x) + 30\|2 cosh(x) - 3\|2 )coth(x)sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 56\|2 cosh(x) + 40\|2 cosh(x) - 12\|2 cosh(x))coth(x)sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 28\|2 cosh(x) + 30\|2 cosh(x) - 18\|2 cosh(x) + 4\|2 )coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 8\|2 cosh(x) + 12\|2 cosh(x) - 12\|2 cosh(x) + 8\|2 cosh(x)) +--R * +--R coth(x)sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - \|2 cosh(x) + 2\|2 cosh(x) - 3\|2 cosh(x) + 4\|2 cosh(x) +--R + +--R +-+ +--R - 2\|2 +--R * +--R coth(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R + +--R 4 3 2 2 +--R 10sinh(x) + 40cosh(x)sinh(x) + (60cosh(x) - 20)sinh(x) +--R + +--R 3 4 2 +--R (40cosh(x) - 40cosh(x))sinh(x) + 10cosh(x) - 20cosh(x) + 10 +--R * +--R acsch(tanh(x)) +--R + +--R +-+ 6 +-+ 5 +-+ 2 +-+ 4 +--R \|2 sinh(x) + 6\|2 cosh(x)sinh(x) + (15\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (20\|2 cosh(x) - 4\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (15\|2 cosh(x) - 6\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +-+ 6 +--R (6\|2 cosh(x) - 4\|2 cosh(x) + 12\|2 cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R - \|2 cosh(x) + 6\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 5\|2 sinh(x) - 40\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 140\|2 cosh(x) + 10\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 280\|2 cosh(x) + 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 350\|2 cosh(x) + 150\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 280\|2 cosh(x) + 200\|2 cosh(x) - 60\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 140\|2 cosh(x) + 150\|2 cosh(x) - 90\|2 cosh(x) + 20\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 40\|2 cosh(x) + 60\|2 cosh(x) - 60\|2 cosh(x) +--R + +--R +-+ +--R 40\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 5\|2 cosh(x) + 10\|2 cosh(x) - 15\|2 cosh(x) + 20\|2 cosh(x) +--R + +--R +-+ +--R - 10\|2 +--R * +--R acsch(tanh(x)) +--R + +--R 8 7 2 6 +--R 2sinh(x) + 16cosh(x)sinh(x) + (56cosh(x) - 8)sinh(x) +--R + +--R 3 5 +--R (112cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (140cosh(x) - 120cosh(x) + 2)sinh(x) +--R + +--R 5 3 3 +--R (112cosh(x) - 160cosh(x) + 8cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (56cosh(x) - 120cosh(x) + 12cosh(x) - 12)sinh(x) +--R + +--R 7 5 3 8 +--R (16cosh(x) - 48cosh(x) + 8cosh(x) - 24cosh(x))sinh(x) + 2cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) + 2cosh(x) - 12cosh(x) +--R / +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) - 8)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) - 16cosh(x))sinh(x) + 4cosh(x) - 8cosh(x) + 4 +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 2\|2 sinh(x) - 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 56\|2 cosh(x) + 4\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 112\|2 cosh(x) + 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 140\|2 cosh(x) + 60\|2 cosh(x) - 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 112\|2 cosh(x) + 80\|2 cosh(x) - 24\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (- 56\|2 cosh(x) + 60\|2 cosh(x) - 36\|2 cosh(x) + 8\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 16\|2 cosh(x) + 24\|2 cosh(x) - 24\|2 cosh(x) + 16\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 2\|2 cosh(x) + 4\|2 cosh(x) - 6\|2 cosh(x) + 8\|2 cosh(x) - 4\|2 +--R Type: Expression Integer +--E 315 + +--S 316 of 508 +d0361:= D(m0361,x) +--R +--R +--R (280) +--R +-+ 30 +-+ 29 +--R - 7\|2 sinh(x) - 98\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 28 +--R (- 581\|2 cosh(x) + 38\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 27 +--R (- 1764\|2 cosh(x) + 476\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 26 +--R (- 2107\|2 cosh(x) + 2484\|2 cosh(x) - 201\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (3626\|2 cosh(x) + 6412\|2 cosh(x) - 2246\|2 cosh(x)) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 17591\|2 cosh(x) + 5410\|2 cosh(x) - 10269\|2 cosh(x) +--R + +--R +-+ +--R 630\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 22232\|2 cosh(x) - 14616\|2 cosh(x) - 22200\|2 cosh(x) +--R + +--R +-+ +--R 5920\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 13867\|2 cosh(x) - 46712\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 10406\|2 cosh(x) + 21432\|2 cosh(x) - 1045\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 78386\|2 cosh(x) - 35288\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 59124\|2 cosh(x) + 29664\|2 cosh(x) - 6846\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 79233\|2 cosh(x) + 58806\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 135594\|2 cosh(x) - 24596\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 10243\|2 cosh(x) + 1630\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R 48804\|2 cosh(x) + 137940\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R 72232\|2 cosh(x) - 139936\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 33388\|2 cosh(x) + 6956\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R 188993\|2 cosh(x) + 42636\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 148395\|2 cosh(x) - 148776\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 144737\|2 cosh(x) - 4612\|2 cosh(x) - 435\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R 132202\|2 cosh(x) - 162108\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 270042\|2 cosh(x) + 80288\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 167578\|2 cosh(x) - 73908\|2 cosh(x) + 6262\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 110789\|2 cosh(x) - 178942\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 106063\|2 cosh(x) + 312362\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 103385\|2 cosh(x) - 137658\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 45829\|2 cosh(x) + 718\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 253232\|2 cosh(x) + 67184\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R 119952\|2 cosh(x) + 213312\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 470768\|2 cosh(x) - 10256\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 93584\|2 cosh(x) - 8328\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 110789\|2 cosh(x) + 232560\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R 139740\|2 cosh(x) - 75408\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 440162\|2 cosh(x) + 257104\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 14180\|2 cosh(x) - 42336\|2 cosh(x) + 5816\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +--R 132202\|2 cosh(x) + 67184\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 86360\|2 cosh(x) - 189248\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R 11812\|2 cosh(x) + 289968\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 195736\|2 cosh(x) - 43096\|2 cosh(x) + 21680\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +--R 188993\|2 cosh(x) - 178942\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 139740\|2 cosh(x) - 171288\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R 410098\|2 cosh(x) + 14172\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 243532\|2 cosh(x) + 50216\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 19688\|2 cosh(x) - 8424\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +--R 48804\|2 cosh(x) - 162108\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 119952\|2 cosh(x) - 189248\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R 529672\|2 cosh(x) - 212760\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 20240\|2 cosh(x) + 99384\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 18720\|2 cosh(x) - 13600\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 79233\|2 cosh(x) + 42636\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 106063\|2 cosh(x) - 75408\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R 410098\|2 cosh(x) - 261272\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 183958\|2 cosh(x) + 8928\|2 cosh(x) - 38664\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 304\|2 cosh(x) + 3520\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +--R - 78386\|2 cosh(x) + 137940\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 270042\|2 cosh(x) + 213312\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 11812\|2 cosh(x) - 212760\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 232260\|2 cosh(x) - 47960\|2 cosh(x) - 9648\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 5984\|2 cosh(x) - 2688\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +--R - 13867\|2 cosh(x) + 58806\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 148395\|2 cosh(x) + 312362\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 440162\|2 cosh(x) + 14172\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R 183958\|2 cosh(x) - 35052\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 13160\|2 cosh(x) + 4968\|2 cosh(x) + 704\|2 cosh(x) +--R + +--R +-+ +--R - 2240\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +--R 22232\|2 cosh(x) - 35288\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 72232\|2 cosh(x) + 80288\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 470768\|2 cosh(x) + 289968\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 20240\|2 cosh(x) - 47960\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 13376\|2 cosh(x) + 7616\|2 cosh(x) + 512\|2 cosh(x) +--R + +--R +-+ +--R 7808\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +--R 17591\|2 cosh(x) - 46712\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 135594\|2 cosh(x) - 148776\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 103385\|2 cosh(x) + 257104\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 243532\|2 cosh(x) + 8928\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 13160\|2 cosh(x) + 6304\|2 cosh(x) - 4224\|2 cosh(x) +--R + +--R +-+ 2 +--R - 16384\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +--R 3626\|2 cosh(x) - 14616\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R 59124\|2 cosh(x) - 139936\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 167578\|2 cosh(x) - 10256\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 195736\|2 cosh(x) + 99384\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 9648\|2 cosh(x) + 7616\|2 cosh(x) + 4352\|2 cosh(x) +--R + +--R +-+ 3 +--R 24960\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +--R - 2107\|2 cosh(x) + 5410\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +--R - 10406\|2 cosh(x) - 24596\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R 144737\|2 cosh(x) - 137658\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 14180\|2 cosh(x) + 50216\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 38664\|2 cosh(x) + 4968\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 4224\|2 cosh(x) - 28288\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +--R - 1764\|2 cosh(x) + 6412\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +--R - 22200\|2 cosh(x) + 29664\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 33388\|2 cosh(x) - 73908\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 93584\|2 cosh(x) - 43096\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 18720\|2 cosh(x) + 5984\|2 cosh(x) + 512\|2 cosh(x) +--R + +--R +-+ 5 +--R 24960\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +--R - 581\|2 cosh(x) + 2484\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +--R - 10269\|2 cosh(x) + 21432\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 10243\|2 cosh(x) - 4612\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 45829\|2 cosh(x) - 42336\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 19688\|2 cosh(x) + 304\|2 cosh(x) + 704\|2 cosh(x) +--R + +--R +-+ 6 +--R - 16384\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 98\|2 cosh(x) + 476\|2 cosh(x) - 2246\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 5920\|2 cosh(x) - 6846\|2 cosh(x) + 6956\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 6262\|2 cosh(x) - 8328\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 21680\|2 cosh(x) - 13600\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 2688\|2 cosh(x) + 7808\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 7\|2 cosh(x) + 38\|2 cosh(x) - 201\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 630\|2 cosh(x) - 1045\|2 cosh(x) + 1630\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 435\|2 cosh(x) + 718\|2 cosh(x) + 5816\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 8424\|2 cosh(x) + 3520\|2 cosh(x) - 2240\|2 cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 30 29 +--R 32sinh(x) + 512cosh(x)sinh(x) +--R + +--R 2 28 +--R (3680cosh(x) - 120)sinh(x) +--R + +--R 3 27 +--R (15360cosh(x) - 1680cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (39328cosh(x) - 10320cosh(x) + 528)sinh(x) +--R + +--R 5 3 25 +--R (54784cosh(x) - 35280cosh(x) + 6176cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- 544cosh(x) - 66600cosh(x) + 29968cosh(x) - 1736) +--R * +--R 24 +--R sinh(x) +--R + +--R 7 5 3 +--R - 174080cosh(x) - 36960cosh(x) + 70400cosh(x) +--R + +--R - 17712cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 +--R - 364640cosh(x) + 142560cosh(x) + 40352cosh(x) +--R + +--R 2 +--R - 73664cosh(x) + 2992 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 +--R - 298496cosh(x) + 404640cosh(x) - 222400cosh(x) +--R + +--R 3 +--R - 143696cosh(x) + 23104cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R 193248cosh(x) + 415560cosh(x) - 658016cosh(x) +--R + +--R 4 2 +--R - 54352cosh(x) + 60240cosh(x) - 4664 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R 820224cosh(x) - 116400cosh(x) - 688384cosh(x) +--R + +--R 5 3 +--R 342640cosh(x) + 9856cosh(x) - 25232cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R 945440cosh(x) - 907440cosh(x) + 288240cosh(x) +--R + +--R 6 4 2 +--R 708928cosh(x) - 274032cosh(x) - 20912cosh(x) + 1232 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R 243200cosh(x) - 1144560cosh(x) + 1788384cosh(x) +--R + +--R 7 5 3 +--R 341264cosh(x) - 572096cosh(x) + 152560cosh(x) +--R + +--R - 16672cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R - 816544cosh(x) - 348840cosh(x) + 2219248cosh(x) +--R + +--R 8 6 4 +--R - 742840cosh(x) - 260752cosh(x) + 489256cosh(x) +--R + +--R 2 +--R - 148592cosh(x) - 2008 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R - 1323008cosh(x) + 930240cosh(x) + 617984cosh(x) +--R + +--R 9 7 5 +--R - 1376992cosh(x) + 704000cosh(x) + 561856cosh(x) +--R + +--R 3 +--R - 441216cosh(x) + 21936cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R - 816544cosh(x) + 1550400cosh(x) - 1920320cosh(x) +--R + +--R 10 8 6 +--R - 635264cosh(x) + 1254880cosh(x) + 83392cosh(x) +--R + +--R 4 2 +--R - 619008cosh(x) + 143456cosh(x) - 16464 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R 243200cosh(x) + 930240cosh(x) - 3144320cosh(x) +--R + +--R 11 9 7 +--R 854496cosh(x) + 548992cosh(x) - 448064cosh(x) +--R + +--R 5 3 +--R - 369792cosh(x) + 288144cosh(x) - 77888cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R 945440cosh(x) - 348840cosh(x) - 1920320cosh(x) +--R + +--R 12 10 8 +--R 1597856cosh(x) - 783328cosh(x) - 484592cosh(x) +--R + +--R 6 4 2 +--R 65664cosh(x) + 231072cosh(x) - 141808cosh(x) + 23824 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R 820224cosh(x) - 1144560cosh(x) + 617984cosh(x) +--R + +--R 13 11 9 +--R 854496cosh(x) - 1427712cosh(x) - 241120cosh(x) +--R + +--R 7 5 3 +--R 310144cosh(x) + 32048cosh(x) - 116608cosh(x) +--R + +--R 62240cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R 193248cosh(x) - 907440cosh(x) + 2219248cosh(x) +--R + +--R 14 12 10 +--R - 635264cosh(x) - 783328cosh(x) - 124960cosh(x) +--R + +--R 8 6 4 +--R 438560cosh(x) - 110688cosh(x) - 16464cosh(x) +--R + +--R 2 +--R 72928cosh(x) - 9952 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R - 298496cosh(x) - 116400cosh(x) + 1788384cosh(x) +--R + +--R 15 13 11 +--R - 1376992cosh(x) + 548992cosh(x) - 241120cosh(x) +--R + +--R 9 7 5 +--R 510784cosh(x) - 276592cosh(x) + 94272cosh(x) +--R + +--R 3 +--R 73888cosh(x) - 2304cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R - 364640cosh(x) + 415560cosh(x) + 288240cosh(x) +--R + +--R 16 14 12 +--R - 742840cosh(x) + 1254880cosh(x) - 484592cosh(x) +--R + +--R 10 8 6 +--R 438560cosh(x) - 392592cosh(x) + 207504cosh(x) +--R + +--R 4 2 +--R 54000cosh(x) - 9056cosh(x) + 6336 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R - 174080cosh(x) + 404640cosh(x) - 688384cosh(x) +--R + +--R 17 15 13 +--R 341264cosh(x) + 704000cosh(x) - 448064cosh(x) +--R + +--R 11 9 7 +--R 310144cosh(x) - 276592cosh(x) + 265984cosh(x) +--R + +--R 5 3 +--R 19520cosh(x) - 6144cosh(x) - 15744cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 +--R - 544cosh(x) + 142560cosh(x) - 658016cosh(x) +--R + +--R 18 16 14 +--R 708928cosh(x) - 260752cosh(x) + 83392cosh(x) +--R + +--R 12 10 8 +--R 65664cosh(x) - 110688cosh(x) + 207504cosh(x) +--R + +--R 6 4 2 +--R 9792cosh(x) + 6720cosh(x) + 33792cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R 54784cosh(x) - 36960cosh(x) - 222400cosh(x) +--R + +--R 19 17 15 +--R 342640cosh(x) - 572096cosh(x) + 561856cosh(x) +--R + +--R 13 11 9 +--R - 369792cosh(x) + 32048cosh(x) + 94272cosh(x) +--R + +--R 7 5 3 +--R 19520cosh(x) - 7680cosh(x) - 47744cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R 39328cosh(x) - 66600cosh(x) + 40352cosh(x) +--R + +--R 20 18 16 +--R - 54352cosh(x) - 274032cosh(x) + 489256cosh(x) +--R + +--R 14 12 10 +--R - 619008cosh(x) + 231072cosh(x) - 16464cosh(x) +--R + +--R 8 6 4 +--R 54000cosh(x) + 6720cosh(x) + 54912cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R 15360cosh(x) - 35280cosh(x) + 70400cosh(x) +--R + +--R 21 19 17 +--R - 143696cosh(x) + 9856cosh(x) + 152560cosh(x) +--R + +--R 15 13 11 +--R - 441216cosh(x) + 288144cosh(x) - 116608cosh(x) +--R + +--R 9 7 5 +--R 73888cosh(x) - 6144cosh(x) - 47744cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 +--R 3680cosh(x) - 10320cosh(x) + 29968cosh(x) +--R + +--R 22 20 18 +--R - 73664cosh(x) + 60240cosh(x) - 20912cosh(x) +--R + +--R 16 14 12 +--R - 148592cosh(x) + 143456cosh(x) - 141808cosh(x) +--R + +--R 10 8 6 +--R 72928cosh(x) - 9056cosh(x) + 33792cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 +--R 512cosh(x) - 1680cosh(x) + 6176cosh(x) +--R + +--R 23 21 19 +--R - 17712cosh(x) + 23104cosh(x) - 25232cosh(x) +--R + +--R 17 15 13 +--R - 16672cosh(x) + 21936cosh(x) - 77888cosh(x) +--R + +--R 11 9 7 +--R 62240cosh(x) - 2304cosh(x) - 15744cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R 32cosh(x) - 120cosh(x) + 528cosh(x) - 1736cosh(x) +--R + +--R 22 20 18 16 +--R 2992cosh(x) - 4664cosh(x) + 1232cosh(x) - 2008cosh(x) +--R + +--R 14 12 10 +--R - 16464cosh(x) + 23824cosh(x) - 9952cosh(x) +--R + +--R 8 +--R 6336cosh(x) +--R * +--R tanh(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R + +--R 4 2 30 +--R (- 4coth(x) + 2coth(x) - 14)sinh(x) +--R + +--R 4 2 29 +--R (- 64cosh(x)coth(x) + 32cosh(x)coth(x) - 224cosh(x))sinh(x) +--R + +--R 2 4 2 2 +--R (- 460cosh(x) + 8)coth(x) + (230cosh(x) - 4)coth(x) +--R + +--R 2 +--R - 1610cosh(x) + 28 +--R * +--R 28 +--R sinh(x) +--R + +--R 3 4 +--R (- 1920cosh(x) + 112cosh(x))coth(x) +--R + +--R 3 2 3 +--R (960cosh(x) - 56cosh(x))coth(x) - 6720cosh(x) + 392cosh(x) +--R * +--R 27 +--R sinh(x) +--R + +--R 4 2 4 +--R (- 4916cosh(x) + 688cosh(x) - 20)coth(x) +--R + +--R 4 2 2 4 +--R (2458cosh(x) - 344cosh(x) + 10)coth(x) - 17206cosh(x) +--R + +--R 2 +--R 2408cosh(x) - 70 +--R * +--R 26 +--R sinh(x) +--R + +--R 5 3 4 +--R (- 6848cosh(x) + 2352cosh(x) - 224cosh(x))coth(x) +--R + +--R 5 3 2 +--R (3424cosh(x) - 1176cosh(x) + 112cosh(x))coth(x) +--R + +--R 5 3 +--R - 23968cosh(x) + 8232cosh(x) - 784cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R 6 4 2 4 +--R (68cosh(x) + 4440cosh(x) - 996cosh(x) + 120)coth(x) +--R + +--R 6 4 2 2 +--R (- 34cosh(x) - 2220cosh(x) + 498cosh(x) - 60)coth(x) +--R + +--R 6 4 2 +--R 238cosh(x) + 15540cosh(x) - 3486cosh(x) + 420 +--R * +--R 24 +--R sinh(x) +--R + +--R 7 5 3 +--R (21760cosh(x) + 2464cosh(x) - 1792cosh(x) + 1232cosh(x)) +--R * +--R 4 +--R coth(x) +--R + +--R 7 5 3 +--R (- 10880cosh(x) - 1232cosh(x) + 896cosh(x) - 616cosh(x)) +--R * +--R 2 +--R coth(x) +--R + +--R 7 5 3 +--R 76160cosh(x) + 8624cosh(x) - 6272cosh(x) + 4312cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 +--R 45580cosh(x) - 9504cosh(x) + 1672cosh(x) +--R + +--R 2 +--R 5184cosh(x) - 276 +--R * +--R 4 +--R coth(x) +--R + +--R 8 6 4 +--R - 22790cosh(x) + 4752cosh(x) - 836cosh(x) +--R + +--R 2 +--R - 2592cosh(x) + 138 +--R * +--R 2 +--R coth(x) +--R + +--R 8 6 4 2 +--R 159530cosh(x) - 33264cosh(x) + 5852cosh(x) + 18144cosh(x) +--R + +--R - 966 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 +--R 37312cosh(x) - 26976cosh(x) + 15680cosh(x) +--R + +--R 3 +--R 10416cosh(x) - 2336cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 9 7 5 +--R - 18656cosh(x) + 13488cosh(x) - 7840cosh(x) +--R + +--R 3 +--R - 5208cosh(x) + 1168cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 9 7 5 +--R 130592cosh(x) - 94416cosh(x) + 54880cosh(x) +--R + +--R 3 +--R 36456cosh(x) - 8176cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R - 24156cosh(x) - 27704cosh(x) + 34248cosh(x) +--R + +--R 4 2 +--R 5168cosh(x) - 7628cosh(x) + 728 +--R * +--R 4 +--R coth(x) +--R + +--R 10 8 6 +--R 12078cosh(x) + 13852cosh(x) - 17124cosh(x) +--R + +--R 4 2 +--R - 2584cosh(x) + 3814cosh(x) - 364 +--R * +--R 2 +--R coth(x) +--R + +--R 10 8 6 +--R - 84546cosh(x) - 96964cosh(x) + 119868cosh(x) +--R + +--R 4 2 +--R 18088cosh(x) - 26698cosh(x) + 2548 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R - 102528cosh(x) + 7760cosh(x) + 27904cosh(x) +--R + +--R 5 3 +--R - 21392cosh(x) - 9792cosh(x) + 4912cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 11 9 7 +--R 51264cosh(x) - 3880cosh(x) - 13952cosh(x) +--R + +--R 5 3 +--R 10696cosh(x) + 4896cosh(x) - 2456cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 11 9 7 +--R - 358848cosh(x) + 27160cosh(x) + 97664cosh(x) +--R + +--R 5 3 +--R - 74872cosh(x) - 34272cosh(x) + 17192cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R - 118180cosh(x) + 60496cosh(x) - 28988cosh(x) +--R + +--R 6 4 2 +--R - 47808cosh(x) + 5316cosh(x) + 11504cosh(x) - 1676 +--R * +--R 4 +--R coth(x) +--R + +--R 12 10 8 +--R 59090cosh(x) - 30248cosh(x) + 14494cosh(x) +--R + +--R 6 4 2 +--R 23904cosh(x) - 2658cosh(x) - 5752cosh(x) + 838 +--R * +--R 2 +--R coth(x) +--R + +--R 12 10 8 +--R - 413630cosh(x) + 211736cosh(x) - 101458cosh(x) +--R + +--R 6 4 2 +--R - 167328cosh(x) + 18606cosh(x) + 40264cosh(x) - 5866 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R - 30400cosh(x) + 76304cosh(x) - 105760cosh(x) +--R + +--R 7 5 3 +--R - 26864cosh(x) + 32096cosh(x) + 5040cosh(x) +--R + +--R - 8384cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 13 11 9 +--R 15200cosh(x) - 38152cosh(x) + 52880cosh(x) +--R + +--R 7 5 3 +--R 13432cosh(x) - 16048cosh(x) - 2520cosh(x) + 4192cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 13 11 9 +--R - 106400cosh(x) + 267064cosh(x) - 370160cosh(x) +--R + +--R 7 5 3 +--R - 94024cosh(x) + 112336cosh(x) + 17640cosh(x) - 29344cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R 102068cosh(x) + 23256cosh(x) - 119884cosh(x) +--R + +--R 8 6 4 +--R 42760cosh(x) + 31964cosh(x) - 25352cosh(x) +--R + +--R 2 +--R - 11372cosh(x) + 2792 +--R * +--R 4 +--R coth(x) +--R + +--R 14 12 10 +--R - 51034cosh(x) - 11628cosh(x) + 59942cosh(x) +--R + +--R 8 6 4 +--R - 21380cosh(x) - 15982cosh(x) + 12676cosh(x) +--R + +--R 2 +--R 5686cosh(x) - 1396 +--R * +--R 2 +--R coth(x) +--R + +--R 14 12 10 +--R 357238cosh(x) + 81396cosh(x) - 419594cosh(x) +--R + +--R 8 6 4 +--R 149660cosh(x) + 111874cosh(x) - 88732cosh(x) +--R + +--R 2 +--R - 39802cosh(x) + 9772 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R 165376cosh(x) - 62016cosh(x) - 26112cosh(x) +--R + +--R 9 7 5 +--R 86304cosh(x) - 11008cosh(x) - 49728cosh(x) +--R + +--R 3 +--R 9728cosh(x) + 9104cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 15 13 11 +--R - 82688cosh(x) + 31008cosh(x) + 13056cosh(x) +--R + +--R 9 7 5 +--R - 43152cosh(x) + 5504cosh(x) + 24864cosh(x) +--R + +--R 3 +--R - 4864cosh(x) - 4552cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 15 13 11 +--R 578816cosh(x) - 217056cosh(x) - 91392cosh(x) +--R + +--R 9 7 5 +--R 302064cosh(x) - 38528cosh(x) - 174048cosh(x) +--R + +--R 3 +--R 34048cosh(x) + 31864cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R 102068cosh(x) - 103360cosh(x) + 113968cosh(x) +--R + +--R 10 8 6 +--R 42624cosh(x) - 47368cosh(x) - 32448cosh(x) +--R + +--R 4 2 +--R 40528cosh(x) + 2528cosh(x) - 4648 +--R * +--R 4 +--R coth(x) +--R + +--R 16 14 12 +--R - 51034cosh(x) + 51680cosh(x) - 56984cosh(x) +--R + +--R 10 8 6 +--R - 21312cosh(x) + 23684cosh(x) + 16224cosh(x) +--R + +--R 4 2 +--R - 20264cosh(x) - 1264cosh(x) + 2324 +--R * +--R 2 +--R coth(x) +--R + +--R 16 14 12 +--R 357238cosh(x) - 361760cosh(x) + 398888cosh(x) +--R + +--R 10 8 6 +--R 149184cosh(x) - 165788cosh(x) - 113568cosh(x) +--R + +--R 4 2 +--R 141848cosh(x) + 8848cosh(x) - 16268 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R - 30400cosh(x) - 62016cosh(x) + 180608cosh(x) +--R + +--R 11 9 7 +--R - 49696cosh(x) - 29760cosh(x) + 4288cosh(x) +--R + +--R 5 3 +--R 38656cosh(x) - 19664cosh(x) - 7936cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 17 15 13 +--R 15200cosh(x) + 31008cosh(x) - 90304cosh(x) +--R + +--R 11 9 7 +--R 24848cosh(x) + 14880cosh(x) - 2144cosh(x) +--R + +--R 5 3 +--R - 19328cosh(x) + 9832cosh(x) + 3968cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 17 15 13 +--R - 106400cosh(x) - 217056cosh(x) + 632128cosh(x) +--R + +--R 11 9 7 +--R - 173936cosh(x) - 104160cosh(x) + 15008cosh(x) +--R + +--R 5 3 +--R 135296cosh(x) - 68824cosh(x) - 27776cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R - 118180cosh(x) + 23256cosh(x) + 113968cosh(x) +--R + +--R 12 10 8 +--R - 96096cosh(x) + 17992cosh(x) + 24624cosh(x) +--R + +--R 6 4 2 +--R 12560cosh(x) - 22368cosh(x) + 5960cosh(x) + 6048 +--R * +--R 4 +--R coth(x) +--R + +--R 18 16 14 +--R 59090cosh(x) - 11628cosh(x) - 56984cosh(x) +--R + +--R 12 10 8 +--R 48048cosh(x) - 8996cosh(x) - 12312cosh(x) +--R + +--R 6 4 2 +--R - 6280cosh(x) + 11184cosh(x) - 2980cosh(x) - 3024 +--R * +--R 2 +--R coth(x) +--R + +--R 18 16 14 +--R - 413630cosh(x) + 81396cosh(x) + 398888cosh(x) +--R + +--R 12 10 8 +--R - 336336cosh(x) + 62972cosh(x) + 86184cosh(x) +--R + +--R 6 4 2 +--R 43960cosh(x) - 78288cosh(x) + 20860cosh(x) + 21168 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R - 102528cosh(x) + 76304cosh(x) - 26112cosh(x) +--R + +--R 13 11 9 +--R - 49696cosh(x) + 41600cosh(x) + 35488cosh(x) +--R + +--R 7 5 3 +--R - 9728cosh(x) - 7920cosh(x) + 10240cosh(x) + 448cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 19 17 15 +--R 51264cosh(x) - 38152cosh(x) + 13056cosh(x) +--R + +--R 13 11 9 +--R 24848cosh(x) - 20800cosh(x) - 17744cosh(x) +--R + +--R 7 5 3 +--R 4864cosh(x) + 3960cosh(x) - 5120cosh(x) - 224cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 19 17 15 +--R - 358848cosh(x) + 267064cosh(x) - 91392cosh(x) +--R + +--R 13 11 9 +--R - 173936cosh(x) + 145600cosh(x) + 124208cosh(x) +--R + +--R 7 5 3 +--R - 34048cosh(x) - 27720cosh(x) + 35840cosh(x) + 1568cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R - 24156cosh(x) + 60496cosh(x) - 119884cosh(x) +--R + +--R 14 12 10 +--R 42624cosh(x) + 17992cosh(x) + 41888cosh(x) +--R + +--R 8 6 4 +--R - 40040cosh(x) - 2528cosh(x) - 1256cosh(x) +--R + +--R 2 +--R - 7488cosh(x) - 4192 +--R * +--R 4 +--R coth(x) +--R + +--R 20 18 16 +--R 12078cosh(x) - 30248cosh(x) + 59942cosh(x) +--R + +--R 14 12 10 +--R - 21312cosh(x) - 8996cosh(x) - 20944cosh(x) +--R + +--R 8 6 4 2 +--R 20020cosh(x) + 1264cosh(x) + 628cosh(x) + 3744cosh(x) +--R + +--R 2096 +--R * +--R 2 +--R coth(x) +--R + +--R 20 18 16 +--R - 84546cosh(x) + 211736cosh(x) - 419594cosh(x) +--R + +--R 14 12 10 +--R 149184cosh(x) + 62972cosh(x) + 146608cosh(x) +--R + +--R 8 6 4 +--R - 140140cosh(x) - 8848cosh(x) - 4396cosh(x) +--R + +--R 2 +--R - 26208cosh(x) - 14672 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R 37312cosh(x) + 7760cosh(x) - 105760cosh(x) +--R + +--R 15 13 11 +--R 86304cosh(x) - 29760cosh(x) + 35488cosh(x) +--R + +--R 9 7 5 +--R - 60544cosh(x) + 18480cosh(x) + 7936cosh(x) +--R + +--R 3 +--R 7872cosh(x) + 7040cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 21 19 17 +--R - 18656cosh(x) - 3880cosh(x) + 52880cosh(x) +--R + +--R 15 13 11 +--R - 43152cosh(x) + 14880cosh(x) - 17744cosh(x) +--R + +--R 9 7 5 +--R 30272cosh(x) - 9240cosh(x) - 3968cosh(x) +--R + +--R 3 +--R - 3936cosh(x) - 3520cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 21 19 17 +--R 130592cosh(x) + 27160cosh(x) - 370160cosh(x) +--R + +--R 15 13 11 +--R 302064cosh(x) - 104160cosh(x) + 124208cosh(x) +--R + +--R 9 7 5 +--R - 211904cosh(x) + 64680cosh(x) + 27776cosh(x) +--R + +--R 3 +--R 27552cosh(x) + 24640cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R 45580cosh(x) - 27704cosh(x) - 28988cosh(x) +--R + +--R 16 14 12 +--R 42760cosh(x) - 47368cosh(x) + 24624cosh(x) +--R + +--R 10 8 6 +--R - 40040cosh(x) + 39152cosh(x) - 56cosh(x) +--R + +--R 4 2 +--R - 6048cosh(x) - 6112cosh(x) + 1120 +--R * +--R 4 +--R coth(x) +--R + +--R 22 20 18 +--R - 22790cosh(x) + 13852cosh(x) + 14494cosh(x) +--R + +--R 16 14 12 +--R - 21380cosh(x) + 23684cosh(x) - 12312cosh(x) +--R + +--R 10 8 6 +--R 20020cosh(x) - 19576cosh(x) + 28cosh(x) +--R + +--R 4 2 +--R 3024cosh(x) + 3056cosh(x) - 560 +--R * +--R 2 +--R coth(x) +--R + +--R 22 20 18 +--R 159530cosh(x) - 96964cosh(x) - 101458cosh(x) +--R + +--R 16 14 12 +--R 149660cosh(x) - 165788cosh(x) + 86184cosh(x) +--R + +--R 10 8 6 +--R - 140140cosh(x) + 137032cosh(x) - 196cosh(x) +--R + +--R 4 2 +--R - 21168cosh(x) - 21392cosh(x) + 3920 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R 21760cosh(x) - 26976cosh(x) + 27904cosh(x) +--R + +--R 17 15 13 +--R - 26864cosh(x) - 11008cosh(x) + 4288cosh(x) +--R + +--R 11 9 7 +--R - 9728cosh(x) + 18480cosh(x) - 20480cosh(x) +--R + +--R 5 +--R - 8320cosh(x) - 3904cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 23 21 19 +--R - 10880cosh(x) + 13488cosh(x) - 13952cosh(x) +--R + +--R 17 15 13 +--R 13432cosh(x) + 5504cosh(x) - 2144cosh(x) +--R + +--R 11 9 7 +--R 4864cosh(x) - 9240cosh(x) + 10240cosh(x) +--R + +--R 5 +--R 4160cosh(x) + 1952cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 23 21 19 +--R 76160cosh(x) - 94416cosh(x) + 97664cosh(x) +--R + +--R 17 15 13 +--R - 94024cosh(x) - 38528cosh(x) + 15008cosh(x) +--R + +--R 11 9 7 +--R - 34048cosh(x) + 64680cosh(x) - 71680cosh(x) +--R + +--R 5 +--R - 29120cosh(x) - 13664cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 +--R 68cosh(x) - 9504cosh(x) + 34248cosh(x) +--R + +--R 18 16 14 +--R - 47808cosh(x) + 31964cosh(x) - 32448cosh(x) +--R + +--R 12 10 8 +--R 12560cosh(x) - 2528cosh(x) - 56cosh(x) +--R + +--R 6 4 2 +--R 14976cosh(x) + 10304cosh(x) + 8192cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 24 22 20 +--R - 34cosh(x) + 4752cosh(x) - 17124cosh(x) +--R + +--R 18 16 14 +--R 23904cosh(x) - 15982cosh(x) + 16224cosh(x) +--R + +--R 12 10 8 +--R - 6280cosh(x) + 1264cosh(x) + 28cosh(x) +--R + +--R 6 4 2 +--R - 7488cosh(x) - 5152cosh(x) - 4096cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 24 22 20 +--R 238cosh(x) - 33264cosh(x) + 119868cosh(x) +--R + +--R 18 16 14 +--R - 167328cosh(x) + 111874cosh(x) - 113568cosh(x) +--R + +--R 12 10 8 6 +--R 43960cosh(x) - 8848cosh(x) - 196cosh(x) + 52416cosh(x) +--R + +--R 4 2 +--R 36064cosh(x) + 28672cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R - 6848cosh(x) + 2464cosh(x) + 15680cosh(x) +--R + +--R 19 17 15 +--R - 21392cosh(x) + 32096cosh(x) - 49728cosh(x) +--R + +--R 13 11 9 +--R 38656cosh(x) - 7920cosh(x) + 7936cosh(x) +--R + +--R 7 5 3 +--R - 8320cosh(x) - 14080cosh(x) - 12480cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 25 23 21 +--R 3424cosh(x) - 1232cosh(x) - 7840cosh(x) +--R + +--R 19 17 15 +--R 10696cosh(x) - 16048cosh(x) + 24864cosh(x) +--R + +--R 13 11 9 +--R - 19328cosh(x) + 3960cosh(x) - 3968cosh(x) +--R + +--R 7 5 3 +--R 4160cosh(x) + 7040cosh(x) + 6240cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 25 23 21 +--R - 23968cosh(x) + 8624cosh(x) + 54880cosh(x) +--R + +--R 19 17 15 +--R - 74872cosh(x) + 112336cosh(x) - 174048cosh(x) +--R + +--R 13 11 9 +--R 135296cosh(x) - 27720cosh(x) + 27776cosh(x) +--R + +--R 7 5 3 +--R - 29120cosh(x) - 49280cosh(x) - 43680cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R - 4916cosh(x) + 4440cosh(x) + 1672cosh(x) +--R + +--R 20 18 16 +--R 5168cosh(x) + 5316cosh(x) - 25352cosh(x) +--R + +--R 14 12 10 +--R 40528cosh(x) - 22368cosh(x) - 1256cosh(x) +--R + +--R 8 6 4 +--R - 6048cosh(x) + 10304cosh(x) + 14144cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 26 24 22 +--R 2458cosh(x) - 2220cosh(x) - 836cosh(x) +--R + +--R 20 18 16 +--R - 2584cosh(x) - 2658cosh(x) + 12676cosh(x) +--R + +--R 14 12 10 +--R - 20264cosh(x) + 11184cosh(x) + 628cosh(x) +--R + +--R 8 6 4 +--R 3024cosh(x) - 5152cosh(x) - 7072cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 26 24 22 +--R - 17206cosh(x) + 15540cosh(x) + 5852cosh(x) +--R + +--R 20 18 16 +--R 18088cosh(x) + 18606cosh(x) - 88732cosh(x) +--R + +--R 14 12 10 +--R 141848cosh(x) - 78288cosh(x) - 4396cosh(x) +--R + +--R 8 6 4 +--R - 21168cosh(x) + 36064cosh(x) + 49504cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R - 1920cosh(x) + 2352cosh(x) - 1792cosh(x) +--R + +--R 21 19 17 +--R 10416cosh(x) - 9792cosh(x) + 5040cosh(x) +--R + +--R 15 13 11 +--R 9728cosh(x) - 19664cosh(x) + 10240cosh(x) +--R + +--R 9 5 +--R 7872cosh(x) - 12480cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 27 25 23 +--R 960cosh(x) - 1176cosh(x) + 896cosh(x) +--R + +--R 21 19 17 +--R - 5208cosh(x) + 4896cosh(x) - 2520cosh(x) +--R + +--R 15 13 11 +--R - 4864cosh(x) + 9832cosh(x) - 5120cosh(x) +--R + +--R 9 5 +--R - 3936cosh(x) + 6240cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 27 25 23 +--R - 6720cosh(x) + 8232cosh(x) - 6272cosh(x) +--R + +--R 21 19 17 +--R 36456cosh(x) - 34272cosh(x) + 17640cosh(x) +--R + +--R 15 13 11 +--R 34048cosh(x) - 68824cosh(x) + 35840cosh(x) +--R + +--R 9 5 +--R 27552cosh(x) - 43680cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 +--R - 460cosh(x) + 688cosh(x) - 996cosh(x) +--R + +--R 22 20 18 +--R 5184cosh(x) - 7628cosh(x) + 11504cosh(x) +--R + +--R 16 14 12 +--R - 11372cosh(x) + 2528cosh(x) + 5960cosh(x) +--R + +--R 10 8 6 +--R - 7488cosh(x) - 6112cosh(x) + 8192cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 28 26 24 +--R 230cosh(x) - 344cosh(x) + 498cosh(x) +--R + +--R 22 20 18 +--R - 2592cosh(x) + 3814cosh(x) - 5752cosh(x) +--R + +--R 16 14 12 +--R 5686cosh(x) - 1264cosh(x) - 2980cosh(x) +--R + +--R 10 8 6 +--R 3744cosh(x) + 3056cosh(x) - 4096cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 28 26 24 +--R - 1610cosh(x) + 2408cosh(x) - 3486cosh(x) +--R + +--R 22 20 18 +--R 18144cosh(x) - 26698cosh(x) + 40264cosh(x) +--R + +--R 16 14 12 +--R - 39802cosh(x) + 8848cosh(x) + 20860cosh(x) +--R + +--R 10 8 6 +--R - 26208cosh(x) - 21392cosh(x) + 28672cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 +--R - 64cosh(x) + 112cosh(x) - 224cosh(x) +--R + +--R 23 21 19 +--R 1232cosh(x) - 2336cosh(x) + 4912cosh(x) +--R + +--R 17 15 13 +--R - 8384cosh(x) + 9104cosh(x) - 7936cosh(x) +--R + +--R 11 9 7 +--R 448cosh(x) + 7040cosh(x) - 3904cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 29 27 25 23 +--R 32cosh(x) - 56cosh(x) + 112cosh(x) - 616cosh(x) +--R + +--R 21 19 17 +--R 1168cosh(x) - 2456cosh(x) + 4192cosh(x) +--R + +--R 15 13 11 +--R - 4552cosh(x) + 3968cosh(x) - 224cosh(x) +--R + +--R 9 7 +--R - 3520cosh(x) + 1952cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 29 27 25 23 +--R - 224cosh(x) + 392cosh(x) - 784cosh(x) + 4312cosh(x) +--R + +--R 21 19 17 +--R - 8176cosh(x) + 17192cosh(x) - 29344cosh(x) +--R + +--R 15 13 11 +--R 31864cosh(x) - 27776cosh(x) + 1568cosh(x) +--R + +--R 9 7 +--R 24640cosh(x) - 13664cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R - 4cosh(x) + 8cosh(x) - 20cosh(x) + 120cosh(x) +--R + +--R 22 20 18 16 +--R - 276cosh(x) + 728cosh(x) - 1676cosh(x) + 2792cosh(x) +--R + +--R 14 12 10 8 +--R - 4648cosh(x) + 6048cosh(x) - 4192cosh(x) + 1120cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 30 28 26 24 +--R 2cosh(x) - 4cosh(x) + 10cosh(x) - 60cosh(x) +--R + +--R 22 20 18 16 +--R 138cosh(x) - 364cosh(x) + 838cosh(x) - 1396cosh(x) +--R + +--R 14 12 10 8 +--R 2324cosh(x) - 3024cosh(x) + 2096cosh(x) - 560cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 30 28 26 24 +--R - 14cosh(x) + 28cosh(x) - 70cosh(x) + 420cosh(x) +--R + +--R 22 20 18 16 +--R - 966cosh(x) + 2548cosh(x) - 5866cosh(x) + 9772cosh(x) +--R + +--R 14 12 10 8 +--R - 16268cosh(x) + 21168cosh(x) - 14672cosh(x) + 3920cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 32 +--R (2\|2 coth(x) - \|2 coth(x) + 7\|2 )sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R 36\|2 cosh(x)coth(x) - 18\|2 cosh(x)coth(x) +--R + +--R +-+ +--R 126\|2 cosh(x) +--R * +--R 31 +--R sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (296\|2 cosh(x) - 2\|2 )coth(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ +--R (- 148\|2 cosh(x) + \|2 )coth(x) + 1036\|2 cosh(x) - 7\|2 +--R * +--R 30 +--R sinh(x) +--R + +--R +-+ 3 +-+ 4 +--R (1452\|2 cosh(x) - 32\|2 cosh(x))coth(x) +--R + +--R +-+ 3 +-+ 2 +--R (- 726\|2 cosh(x) + 16\|2 cosh(x))coth(x) +--R + +--R +-+ 3 +-+ +--R 5082\|2 cosh(x) - 112\|2 cosh(x) +--R * +--R 29 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (4608\|2 cosh(x) - 230\|2 cosh(x) - 6\|2 )coth(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 2304\|2 cosh(x) + 115\|2 cosh(x) + 3\|2 )coth(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 16128\|2 cosh(x) - 805\|2 cosh(x) - 21\|2 +--R * +--R 28 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 4 +--R (9300\|2 cosh(x) - 960\|2 cosh(x) - 100\|2 cosh(x))coth(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 4650\|2 cosh(x) + 480\|2 cosh(x) + 50\|2 cosh(x)) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 32550\|2 cosh(x) - 3360\|2 cosh(x) - 350\|2 cosh(x) +--R * +--R 27 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 9272\|2 cosh(x) - 2458\|2 cosh(x) - 772\|2 cosh(x) +--R + +--R +-+ +--R 42\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 4636\|2 cosh(x) + 1229\|2 cosh(x) + 386\|2 cosh(x) +--R + +--R +-+ +--R - 21\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 32452\|2 cosh(x) - 8603\|2 cosh(x) - 2702\|2 cosh(x) +--R + +--R +-+ +--R 147\|2 +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 7524\|2 cosh(x) - 3424\|2 cosh(x) - 3636\|2 cosh(x) +--R + +--R +-+ +--R 584\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 3762\|2 cosh(x) + 1712\|2 cosh(x) + 1818\|2 cosh(x) +--R + +--R +-+ +--R - 292\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 26334\|2 cosh(x) - 11984\|2 cosh(x) - 12726\|2 cosh(x) +--R + +--R +-+ +--R 2044\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 44584\|2 cosh(x) + 34\|2 cosh(x) - 11522\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 3682\|2 cosh(x) - 190\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 22292\|2 cosh(x) - 17\|2 cosh(x) + 5761\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 1841\|2 cosh(x) + 95\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 156044\|2 cosh(x) + 119\|2 cosh(x) - 40327\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 12887\|2 cosh(x) - 665\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 75116\|2 cosh(x) + 10880\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 25240\|2 cosh(x) + 13760\|2 cosh(x) - 2204\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 37558\|2 cosh(x) - 5440\|2 cosh(x) + 12620\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 6880\|2 cosh(x) + 1102\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 262906\|2 cosh(x) + 38080\|2 cosh(x) - 88340\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 48160\|2 cosh(x) - 7714\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 48024\|2 cosh(x) + 22790\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 36392\|2 cosh(x) + 33068\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 11216\|2 cosh(x) + 386\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 10 +-+ 8 +--R 24012\|2 cosh(x) - 11395\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 18196\|2 cosh(x) - 16534\|2 cosh(x) + 5608\|2 cosh(x) +--R + +--R +-+ +--R - 193\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 10 +-+ 8 +--R - 168084\|2 cosh(x) + 79765\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 127372\|2 cosh(x) + 115738\|2 cosh(x) - 39256\|2 cosh(x) +--R + +--R +-+ +--R 1351\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R 56764\|2 cosh(x) + 18656\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 24408\|2 cosh(x) + 50000\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 32004\|2 cosh(x) + 3584\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 11 +-+ 9 +--R - 28382\|2 cosh(x) - 9328\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 12204\|2 cosh(x) - 25000\|2 cosh(x) + 16002\|2 cosh(x) +--R + +--R +-+ +--R - 1792\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 198674\|2 cosh(x) + 65296\|2 cosh(x) - 85428\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 175000\|2 cosh(x) - 112014\|2 cosh(x) + 12544\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R 173696\|2 cosh(x) - 12078\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 28970\|2 cosh(x) + 34636\|2 cosh(x) - 51916\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 13550\|2 cosh(x) - 1010\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 12 +-+ 10 +--R - 86848\|2 cosh(x) + 6039\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 14485\|2 cosh(x) - 17318\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 25958\|2 cosh(x) - 6775\|2 cosh(x) + 505\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 607936\|2 cosh(x) - 42273\|2 cosh(x) + 101395\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 121226\|2 cosh(x) - 181706\|2 cosh(x) + 47425\|2 cosh(x) +--R + +--R +-+ +--R - 3535\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R 184644\|2 cosh(x) - 51264\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R 110612\|2 cosh(x) - 37696\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 30676\|2 cosh(x) + 23552\|2 cosh(x) - 7692\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 13 +-+ 11 +--R - 92322\|2 cosh(x) + 25632\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 55306\|2 cosh(x) + 18848\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 15338\|2 cosh(x) - 11776\|2 cosh(x) + 3846\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 13 +-+ 11 +--R 646254\|2 cosh(x) - 179424\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 387142\|2 cosh(x) - 131936\|2 cosh(x) - 107366\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 82432\|2 cosh(x) - 26922\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R 38456\|2 cosh(x) - 59090\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R 163780\|2 cosh(x) - 145650\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 65264\|2 cosh(x) + 2374\|2 cosh(x) - 22868\|2 cosh(x) +--R + +--R +-+ +--R 2366\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 14 +-+ 12 +--R - 19228\|2 cosh(x) + 29545\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 81890\|2 cosh(x) + 72825\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 32632\|2 cosh(x) - 1187\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 11434\|2 cosh(x) - 1183\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 14 +-+ 12 +--R 134596\|2 cosh(x) - 206815\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 573230\|2 cosh(x) - 509775\|2 cosh(x) + 228424\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 8309\|2 cosh(x) - 80038\|2 cosh(x) + 8281\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 169556\|2 cosh(x) - 15200\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R 123652\|2 cosh(x) - 212424\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R 202676\|2 cosh(x) - 80384\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 27820\|2 cosh(x) + 14200\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 15 +-+ 13 +--R 84778\|2 cosh(x) + 7600\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 61826\|2 cosh(x) + 106212\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 101338\|2 cosh(x) + 40192\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 13910\|2 cosh(x) - 7100\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 15 +-+ 13 +--R - 593446\|2 cosh(x) - 53200\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 432782\|2 cosh(x) - 743484\|2 cosh(x) + 709366\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 281344\|2 cosh(x) - 97370\|2 cosh(x) + 49700\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 267444\|2 cosh(x) + 51034\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 17442\|2 cosh(x) - 157658\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R 277214\|2 cosh(x) - 195862\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 11958\|2 cosh(x) + 31582\|2 cosh(x) - 3956\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 16 +-+ 14 +--R 133722\|2 cosh(x) - 25517\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R 8721\|2 cosh(x) + 78829\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 138607\|2 cosh(x) + 97931\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 5979\|2 cosh(x) - 15791\|2 cosh(x) + 1978\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 16 +-+ 14 +--R - 936054\|2 cosh(x) + 178619\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 61047\|2 cosh(x) - 551803\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 970249\|2 cosh(x) - 685517\|2 cosh(x) + 41853\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 110537\|2 cosh(x) - 13846\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 169556\|2 cosh(x) + 82688\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 180880\|2 cosh(x) + 23936\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R 191272\|2 cosh(x) - 249856\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 91664\|2 cosh(x) + 25376\|2 cosh(x) - 16936\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 17 +-+ 15 +--R 84778\|2 cosh(x) - 41344\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 90440\|2 cosh(x) - 11968\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 95636\|2 cosh(x) + 124928\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 45832\|2 cosh(x) - 12688\|2 cosh(x) + 8468\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 17 +-+ 15 +--R - 593446\|2 cosh(x) + 289408\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 633080\|2 cosh(x) + 83776\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 669452\|2 cosh(x) - 874496\|2 cosh(x) + 320824\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 88816\|2 cosh(x) - 59276\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +--R 38456\|2 cosh(x) + 51034\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 253232\|2 cosh(x) + 231880\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 54048\|2 cosh(x) - 157772\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 147344\|2 cosh(x) - 16248\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 23152\|2 cosh(x) + 6576\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 18 +-+ 16 +--R - 19228\|2 cosh(x) - 25517\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 126616\|2 cosh(x) - 115940\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R 27024\|2 cosh(x) + 78886\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 73672\|2 cosh(x) + 8124\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 11576\|2 cosh(x) - 3288\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 18 +-+ 16 +--R 134596\|2 cosh(x) + 178619\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 886312\|2 cosh(x) + 811580\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 189168\|2 cosh(x) - 552202\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 515704\|2 cosh(x) - 56868\|2 cosh(x) - 81032\|2 cosh(x) +--R + +--R +-+ +--R 23016\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +--R 184644\|2 cosh(x) - 15200\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 180880\|2 cosh(x) + 323680\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 329064\|2 cosh(x) + 76800\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 116304\|2 cosh(x) - 56352\|2 cosh(x) - 4280\|2 cosh(x) +--R + +--R +-+ +--R 17824\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 19 +-+ 17 +--R - 92322\|2 cosh(x) + 7600\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 90440\|2 cosh(x) - 161840\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R 164532\|2 cosh(x) - 38400\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 58152\|2 cosh(x) + 28176\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 2140\|2 cosh(x) - 8912\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 19 +-+ 17 +--R 646254\|2 cosh(x) - 53200\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 633080\|2 cosh(x) + 1132880\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 1151724\|2 cosh(x) + 268800\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 407064\|2 cosh(x) - 197232\|2 cosh(x) - 14980\|2 cosh(x) +--R + +--R +-+ +--R 62384\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +--R 173696\|2 cosh(x) - 59090\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 17442\|2 cosh(x) + 231880\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 450216\|2 cosh(x) + 337324\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 10948\|2 cosh(x) - 62008\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 20144\|2 cosh(x) + 12752\|2 cosh(x) - 8552\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 20 +-+ 18 +--R - 86848\|2 cosh(x) + 29545\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 8721\|2 cosh(x) - 115940\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R 225108\|2 cosh(x) - 168662\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 5474\|2 cosh(x) + 31004\|2 cosh(x) - 10072\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 6376\|2 cosh(x) + 4276\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 20 +-+ 18 +--R 607936\|2 cosh(x) - 206815\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 61047\|2 cosh(x) + 811580\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 1575756\|2 cosh(x) + 1180634\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 38318\|2 cosh(x) - 217028\|2 cosh(x) + 70504\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 44632\|2 cosh(x) - 29932\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +--R 56764\|2 cosh(x) - 51264\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 123652\|2 cosh(x) + 23936\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 329064\|2 cosh(x) + 452608\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 172456\|2 cosh(x) - 25376\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 38680\|2 cosh(x) + 3776\|2 cosh(x) - 9168\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 21 +-+ 19 +--R - 28382\|2 cosh(x) + 25632\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 61826\|2 cosh(x) - 11968\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 164532\|2 cosh(x) - 226304\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 86228\|2 cosh(x) + 12688\|2 cosh(x) - 19340\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 1888\|2 cosh(x) + 4584\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 21 +-+ 19 +--R 198674\|2 cosh(x) - 179424\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 432782\|2 cosh(x) + 83776\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 1151724\|2 cosh(x) + 1584128\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 603596\|2 cosh(x) - 88816\|2 cosh(x) + 135380\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 13216\|2 cosh(x) - 32088\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +--R - 48024\|2 cosh(x) - 12078\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R 163780\|2 cosh(x) - 157658\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 54048\|2 cosh(x) + 337324\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 248952\|2 cosh(x) + 44308\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 55920\|2 cosh(x) - 912\|2 cosh(x) - 2736\|2 cosh(x) +--R + +--R +-+ +--R 5928\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 22 +-+ 20 +--R 24012\|2 cosh(x) + 6039\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 81890\|2 cosh(x) + 78829\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 27024\|2 cosh(x) - 168662\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R 124476\|2 cosh(x) - 22154\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 27960\|2 cosh(x) + 456\|2 cosh(x) + 1368\|2 cosh(x) +--R + +--R +-+ +--R - 2964\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 22 +-+ 20 +--R - 168084\|2 cosh(x) - 42273\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R 573230\|2 cosh(x) - 551803\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 189168\|2 cosh(x) + 1180634\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 871332\|2 cosh(x) + 155078\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 195720\|2 cosh(x) - 3192\|2 cosh(x) - 9576\|2 cosh(x) +--R + +--R +-+ +--R 20748\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +--R - 75116\|2 cosh(x) + 18656\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 110612\|2 cosh(x) - 212424\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 191272\|2 cosh(x) + 76800\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 172456\|2 cosh(x) + 84304\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 48072\|2 cosh(x) - 26016\|2 cosh(x) - 13712\|2 cosh(x) +--R + +--R +-+ +--R - 4032\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 23 +-+ 21 +--R 37558\|2 cosh(x) - 9328\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 55306\|2 cosh(x) + 106212\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 95636\|2 cosh(x) - 38400\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R 86228\|2 cosh(x) - 42152\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 24036\|2 cosh(x) + 13008\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 6856\|2 cosh(x) + 2016\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 23 +-+ 21 +--R - 262906\|2 cosh(x) + 65296\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 387142\|2 cosh(x) - 743484\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 669452\|2 cosh(x) + 268800\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 603596\|2 cosh(x) + 295064\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 168252\|2 cosh(x) - 91056\|2 cosh(x) - 47992\|2 cosh(x) +--R + +--R +-+ +--R - 14112\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +--R - 44584\|2 cosh(x) + 22790\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 28970\|2 cosh(x) - 145650\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 277214\|2 cosh(x) - 157772\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 10948\|2 cosh(x) + 44308\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 33160\|2 cosh(x) - 34800\|2 cosh(x) + 2408\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 7560\|2 cosh(x) - 1584\|2 +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 24 +-+ 22 +--R 22292\|2 cosh(x) - 11395\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 14485\|2 cosh(x) + 72825\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 138607\|2 cosh(x) + 78886\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R 5474\|2 cosh(x) - 22154\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 16580\|2 cosh(x) + 17400\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 1204\|2 cosh(x) - 3780\|2 cosh(x) + 792\|2 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 24 +-+ 22 +--R - 156044\|2 cosh(x) + 79765\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 101395\|2 cosh(x) - 509775\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 970249\|2 cosh(x) - 552202\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 38318\|2 cosh(x) + 155078\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 116060\|2 cosh(x) - 121800\|2 cosh(x) + 8428\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 26460\|2 cosh(x) - 5544\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +--R - 7524\|2 cosh(x) + 10880\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R - 24408\|2 cosh(x) - 37696\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 202676\|2 cosh(x) - 249856\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 116304\|2 cosh(x) - 25376\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 48072\|2 cosh(x) - 23936\|2 cosh(x) + 10592\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 2560\|2 cosh(x) + 3936\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 25 +-+ 23 +--R 3762\|2 cosh(x) - 5440\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R 12204\|2 cosh(x) + 18848\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 101338\|2 cosh(x) + 124928\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 58152\|2 cosh(x) + 12688\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R - 24036\|2 cosh(x) + 11968\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 5296\|2 cosh(x) - 1280\|2 cosh(x) - 1968\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 25 +-+ 23 +--R - 26334\|2 cosh(x) + 38080\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R - 85428\|2 cosh(x) - 131936\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 709366\|2 cosh(x) - 874496\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 407064\|2 cosh(x) - 88816\|2 cosh(x) + 168252\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 83776\|2 cosh(x) + 37072\|2 cosh(x) + 8960\|2 cosh(x) +--R + +--R +-+ +--R 13776\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 9272\|2 cosh(x) + 34\|2 cosh(x) - 36392\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 34636\|2 cosh(x) + 65264\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 195862\|2 cosh(x) + 147344\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 62008\|2 cosh(x) + 55920\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 34800\|2 cosh(x) - 6816\|2 cosh(x) - 8368\|2 cosh(x) +--R + +--R +-+ 2 +--R - 8448\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 26 +-+ 24 +--R - 4636\|2 cosh(x) - 17\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +--R 18196\|2 cosh(x) - 17318\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 32632\|2 cosh(x) + 97931\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 73672\|2 cosh(x) + 31004\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 27960\|2 cosh(x) + 17400\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 3408\|2 cosh(x) + 4184\|2 cosh(x) + 4224\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 32452\|2 cosh(x) + 119\|2 cosh(x) - 127372\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 121226\|2 cosh(x) + 228424\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 685517\|2 cosh(x) + 515704\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 217028\|2 cosh(x) + 195720\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 121800\|2 cosh(x) - 23856\|2 cosh(x) - 29288\|2 cosh(x) +--R + +--R +-+ 2 +--R - 29568\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +--R 9300\|2 cosh(x) - 3424\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +--R - 25240\|2 cosh(x) + 50000\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 30676\|2 cosh(x) - 80384\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 91664\|2 cosh(x) - 56352\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R 38680\|2 cosh(x) - 26016\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 10592\|2 cosh(x) + 13184\|2 cosh(x) + 11936\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 27 +-+ 25 +--R - 4650\|2 cosh(x) + 1712\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +--R 12620\|2 cosh(x) - 25000\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 15338\|2 cosh(x) + 40192\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 45832\|2 cosh(x) + 28176\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 19340\|2 cosh(x) + 13008\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 5296\|2 cosh(x) - 6592\|2 cosh(x) - 5968\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R 32550\|2 cosh(x) - 11984\|2 cosh(x) - 88340\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R 175000\|2 cosh(x) - 107366\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 281344\|2 cosh(x) + 320824\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 197232\|2 cosh(x) + 135380\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 91056\|2 cosh(x) + 37072\|2 cosh(x) + 46144\|2 cosh(x) +--R + +--R +-+ 3 +--R 41776\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +--R 4608\|2 cosh(x) - 2458\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +--R - 11522\|2 cosh(x) + 33068\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 51916\|2 cosh(x) + 2374\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 11958\|2 cosh(x) - 16248\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 20144\|2 cosh(x) - 912\|2 cosh(x) + 2408\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 8368\|2 cosh(x) - 13728\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 28 +-+ 26 +--R - 2304\|2 cosh(x) + 1229\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +--R 5761\|2 cosh(x) - 16534\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 25958\|2 cosh(x) - 1187\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 5979\|2 cosh(x) + 8124\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 10072\|2 cosh(x) + 456\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 1204\|2 cosh(x) + 4184\|2 cosh(x) + 6864\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R 16128\|2 cosh(x) - 8603\|2 cosh(x) - 40327\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 115738\|2 cosh(x) - 181706\|2 cosh(x) + 8309\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 41853\|2 cosh(x) - 56868\|2 cosh(x) + 70504\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 3192\|2 cosh(x) + 8428\|2 cosh(x) - 29288\|2 cosh(x) +--R + +--R +-+ 4 +--R - 48048\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R 1452\|2 cosh(x) - 960\|2 cosh(x) - 3636\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +--R 13760\|2 cosh(x) - 32004\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 23552\|2 cosh(x) - 27820\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 25376\|2 cosh(x) - 4280\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 3776\|2 cosh(x) - 13712\|2 cosh(x) + 2560\|2 cosh(x) +--R + +--R +-+ 5 +--R 11936\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 726\|2 cosh(x) + 480\|2 cosh(x) + 1818\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +--R - 6880\|2 cosh(x) + 16002\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 11776\|2 cosh(x) + 13910\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 12688\|2 cosh(x) + 2140\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 1888\|2 cosh(x) + 6856\|2 cosh(x) - 1280\|2 cosh(x) +--R + +--R +-+ 5 +--R - 5968\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R 5082\|2 cosh(x) - 3360\|2 cosh(x) - 12726\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 48160\|2 cosh(x) - 112014\|2 cosh(x) + 82432\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 97370\|2 cosh(x) + 88816\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 14980\|2 cosh(x) + 13216\|2 cosh(x) - 47992\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R 8960\|2 cosh(x) + 41776\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R 296\|2 cosh(x) - 230\|2 cosh(x) - 772\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +--R 3682\|2 cosh(x) - 11216\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R 13550\|2 cosh(x) - 22868\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 31582\|2 cosh(x) - 23152\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 12752\|2 cosh(x) - 2736\|2 cosh(x) + 7560\|2 cosh(x) +--R + +--R +-+ 6 +--R - 8448\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 148\|2 cosh(x) + 115\|2 cosh(x) + 386\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +--R - 1841\|2 cosh(x) + 5608\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 6775\|2 cosh(x) + 11434\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R - 15791\|2 cosh(x) + 11576\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 6376\|2 cosh(x) + 1368\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R - 3780\|2 cosh(x) + 4224\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R 1036\|2 cosh(x) - 805\|2 cosh(x) - 2702\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 12887\|2 cosh(x) - 39256\|2 cosh(x) + 47425\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 80038\|2 cosh(x) + 110537\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 81032\|2 cosh(x) + 44632\|2 cosh(x) - 9576\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R 26460\|2 cosh(x) - 29568\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R 36\|2 cosh(x) - 32\|2 cosh(x) - 100\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 584\|2 cosh(x) - 2204\|2 cosh(x) + 3584\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 7692\|2 cosh(x) + 14200\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 16936\|2 cosh(x) + 17824\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 9168\|2 cosh(x) - 4032\|2 cosh(x) + 3936\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R - 18\|2 cosh(x) + 16\|2 cosh(x) + 50\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +--R - 292\|2 cosh(x) + 1102\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R - 1792\|2 cosh(x) + 3846\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 7100\|2 cosh(x) + 8468\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 8912\|2 cosh(x) + 4584\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +--R 2016\|2 cosh(x) - 1968\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R 126\|2 cosh(x) - 112\|2 cosh(x) - 350\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 2044\|2 cosh(x) - 7714\|2 cosh(x) + 12544\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 26922\|2 cosh(x) + 49700\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 59276\|2 cosh(x) + 62384\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 32088\|2 cosh(x) - 14112\|2 cosh(x) + 13776\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +--R 2\|2 cosh(x) - 2\|2 cosh(x) - 6\|2 cosh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 42\|2 cosh(x) - 190\|2 cosh(x) + 386\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 1010\|2 cosh(x) + 2366\|2 cosh(x) - 3956\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 6576\|2 cosh(x) - 8552\|2 cosh(x) + 5928\|2 cosh(x) +--R + +--R +-+ 8 +--R - 1584\|2 cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +--R - \|2 cosh(x) + \|2 cosh(x) + 3\|2 cosh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 21\|2 cosh(x) + 95\|2 cosh(x) - 193\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 505\|2 cosh(x) - 1183\|2 cosh(x) + 1978\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 3288\|2 cosh(x) + 4276\|2 cosh(x) - 2964\|2 cosh(x) +--R + +--R +-+ 8 +--R 792\|2 cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +--R 7\|2 cosh(x) - 7\|2 cosh(x) - 21\|2 cosh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 147\|2 cosh(x) - 665\|2 cosh(x) + 1351\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 3535\|2 cosh(x) + 8281\|2 cosh(x) - 13846\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 23016\|2 cosh(x) - 29932\|2 cosh(x) + 20748\|2 cosh(x) +--R + +--R +-+ 8 +--R - 5544\|2 cosh(x) +--R * +--R tanh(x) +--R * +--R +------------+ +--R | 2 +--R \|tanh(x) + 1 +--R + +--R 30 29 +--R 10sinh(x) + 160cosh(x)sinh(x) +--R + +--R 2 28 +--R (1150cosh(x) - 20)sinh(x) +--R + +--R 3 27 +--R (4800cosh(x) - 280cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (12290cosh(x) - 1720cosh(x) + 50)sinh(x) +--R + +--R 5 3 25 +--R (17120cosh(x) - 5880cosh(x) + 560cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (- 170cosh(x) - 11100cosh(x) + 2490cosh(x) - 300)sinh(x) +--R + +--R 7 5 3 +--R - 54400cosh(x) - 6160cosh(x) + 4480cosh(x) +--R + +--R - 3080cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 +--R - 113950cosh(x) + 23760cosh(x) - 4180cosh(x) +--R + +--R 2 +--R - 12960cosh(x) + 690 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 +--R - 93280cosh(x) + 67440cosh(x) - 39200cosh(x) +--R + +--R 3 +--R - 26040cosh(x) + 5840cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R 60390cosh(x) + 69260cosh(x) - 85620cosh(x) +--R + +--R 4 2 +--R - 12920cosh(x) + 19070cosh(x) - 1820 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R 256320cosh(x) - 19400cosh(x) - 69760cosh(x) +--R + +--R 5 3 +--R 53480cosh(x) + 24480cosh(x) - 12280cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R 295450cosh(x) - 151240cosh(x) + 72470cosh(x) +--R + +--R 6 4 2 +--R 119520cosh(x) - 13290cosh(x) - 28760cosh(x) + 4190 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R 76000cosh(x) - 190760cosh(x) + 264400cosh(x) +--R + +--R 7 5 3 +--R 67160cosh(x) - 80240cosh(x) - 12600cosh(x) +--R + +--R 20960cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R - 255170cosh(x) - 58140cosh(x) + 299710cosh(x) +--R + +--R 8 6 4 +--R - 106900cosh(x) - 79910cosh(x) + 63380cosh(x) +--R + +--R 2 +--R 28430cosh(x) - 6980 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R - 413440cosh(x) + 155040cosh(x) + 65280cosh(x) +--R + +--R 9 7 5 +--R - 215760cosh(x) + 27520cosh(x) + 124320cosh(x) +--R + +--R 3 +--R - 24320cosh(x) - 22760cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R - 255170cosh(x) + 258400cosh(x) - 284920cosh(x) +--R + +--R 10 8 6 +--R - 106560cosh(x) + 118420cosh(x) + 81120cosh(x) +--R + +--R 4 2 +--R - 101320cosh(x) - 6320cosh(x) + 11620 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R 76000cosh(x) + 155040cosh(x) - 451520cosh(x) +--R + +--R 11 9 7 +--R 124240cosh(x) + 74400cosh(x) - 10720cosh(x) +--R + +--R 5 3 +--R - 96640cosh(x) + 49160cosh(x) + 19840cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R 295450cosh(x) - 58140cosh(x) - 284920cosh(x) +--R + +--R 12 10 8 +--R 240240cosh(x) - 44980cosh(x) - 61560cosh(x) +--R + +--R 6 4 2 +--R - 31400cosh(x) + 55920cosh(x) - 14900cosh(x) - 15120 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R 256320cosh(x) - 190760cosh(x) + 65280cosh(x) +--R + +--R 13 11 9 +--R 124240cosh(x) - 104000cosh(x) - 88720cosh(x) +--R + +--R 7 5 3 +--R 24320cosh(x) + 19800cosh(x) - 25600cosh(x) - 1120cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R 60390cosh(x) - 151240cosh(x) + 299710cosh(x) +--R + +--R 14 12 10 +--R - 106560cosh(x) - 44980cosh(x) - 104720cosh(x) +--R + +--R 8 6 4 +--R 100100cosh(x) + 6320cosh(x) + 3140cosh(x) +--R + +--R 2 +--R 18720cosh(x) + 10480 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R - 93280cosh(x) - 19400cosh(x) + 264400cosh(x) +--R + +--R 15 13 11 +--R - 215760cosh(x) + 74400cosh(x) - 88720cosh(x) +--R + +--R 9 7 5 +--R 151360cosh(x) - 46200cosh(x) - 19840cosh(x) +--R + +--R 3 +--R - 19680cosh(x) - 17600cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R - 113950cosh(x) + 69260cosh(x) + 72470cosh(x) +--R + +--R 16 14 12 +--R - 106900cosh(x) + 118420cosh(x) - 61560cosh(x) +--R + +--R 10 8 6 +--R 100100cosh(x) - 97880cosh(x) + 140cosh(x) +--R + +--R 4 2 +--R 15120cosh(x) + 15280cosh(x) - 2800 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R - 54400cosh(x) + 67440cosh(x) - 69760cosh(x) +--R + +--R 17 15 13 +--R 67160cosh(x) + 27520cosh(x) - 10720cosh(x) +--R + +--R 11 9 7 +--R 24320cosh(x) - 46200cosh(x) + 51200cosh(x) +--R + +--R 5 +--R 20800cosh(x) + 9760cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 +--R - 170cosh(x) + 23760cosh(x) - 85620cosh(x) +--R + +--R 18 16 14 +--R 119520cosh(x) - 79910cosh(x) + 81120cosh(x) +--R + +--R 12 10 8 +--R - 31400cosh(x) + 6320cosh(x) + 140cosh(x) +--R + +--R 6 4 2 +--R - 37440cosh(x) - 25760cosh(x) - 20480cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R 17120cosh(x) - 6160cosh(x) - 39200cosh(x) +--R + +--R 19 17 15 +--R 53480cosh(x) - 80240cosh(x) + 124320cosh(x) +--R + +--R 13 11 9 +--R - 96640cosh(x) + 19800cosh(x) - 19840cosh(x) +--R + +--R 7 5 3 +--R 20800cosh(x) + 35200cosh(x) + 31200cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R 12290cosh(x) - 11100cosh(x) - 4180cosh(x) +--R + +--R 20 18 16 +--R - 12920cosh(x) - 13290cosh(x) + 63380cosh(x) +--R + +--R 14 12 10 +--R - 101320cosh(x) + 55920cosh(x) + 3140cosh(x) +--R + +--R 8 6 4 +--R 15120cosh(x) - 25760cosh(x) - 35360cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R 4800cosh(x) - 5880cosh(x) + 4480cosh(x) +--R + +--R 21 19 17 +--R - 26040cosh(x) + 24480cosh(x) - 12600cosh(x) +--R + +--R 15 13 11 +--R - 24320cosh(x) + 49160cosh(x) - 25600cosh(x) +--R + +--R 9 5 +--R - 19680cosh(x) + 31200cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 +--R 1150cosh(x) - 1720cosh(x) + 2490cosh(x) +--R + +--R 22 20 18 +--R - 12960cosh(x) + 19070cosh(x) - 28760cosh(x) +--R + +--R 16 14 12 +--R 28430cosh(x) - 6320cosh(x) - 14900cosh(x) +--R + +--R 10 8 6 +--R 18720cosh(x) + 15280cosh(x) - 20480cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 +--R 160cosh(x) - 280cosh(x) + 560cosh(x) +--R + +--R 23 21 19 +--R - 3080cosh(x) + 5840cosh(x) - 12280cosh(x) +--R + +--R 17 15 13 +--R 20960cosh(x) - 22760cosh(x) + 19840cosh(x) +--R + +--R 11 9 7 +--R - 1120cosh(x) - 17600cosh(x) + 9760cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R 10cosh(x) - 20cosh(x) + 50cosh(x) - 300cosh(x) +--R + +--R 22 20 18 16 +--R 690cosh(x) - 1820cosh(x) + 4190cosh(x) - 6980cosh(x) +--R + +--R 14 12 10 8 +--R 11620cosh(x) - 15120cosh(x) + 10480cosh(x) - 2800cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 30 29 +--R - 10sinh(x) - 160cosh(x)sinh(x) +--R + +--R 2 28 +--R (- 1150cosh(x) + 20)sinh(x) +--R + +--R 3 27 +--R (- 4800cosh(x) + 280cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (- 12290cosh(x) + 1720cosh(x) - 50)sinh(x) +--R + +--R 5 3 25 +--R (- 17120cosh(x) + 5880cosh(x) - 560cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (170cosh(x) + 11100cosh(x) - 2490cosh(x) + 300)sinh(x) +--R + +--R 7 5 3 +--R (54400cosh(x) + 6160cosh(x) - 4480cosh(x) + 3080cosh(x)) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 113950cosh(x) - 23760cosh(x) + 4180cosh(x) + 12960cosh(x) +--R + +--R - 690 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 93280cosh(x) - 67440cosh(x) + 39200cosh(x) + 26040cosh(x) +--R + +--R - 5840cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 +--R - 60390cosh(x) - 69260cosh(x) + 85620cosh(x) +--R + +--R 4 2 +--R 12920cosh(x) - 19070cosh(x) + 1820 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 +--R - 256320cosh(x) + 19400cosh(x) + 69760cosh(x) +--R + +--R 5 3 +--R - 53480cosh(x) - 24480cosh(x) + 12280cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R - 295450cosh(x) + 151240cosh(x) - 72470cosh(x) +--R + +--R 6 4 2 +--R - 119520cosh(x) + 13290cosh(x) + 28760cosh(x) - 4190 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R - 76000cosh(x) + 190760cosh(x) - 264400cosh(x) +--R + +--R 7 5 3 +--R - 67160cosh(x) + 80240cosh(x) + 12600cosh(x) - 20960cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R 255170cosh(x) + 58140cosh(x) - 299710cosh(x) +--R + +--R 8 6 4 +--R 106900cosh(x) + 79910cosh(x) - 63380cosh(x) +--R + +--R 2 +--R - 28430cosh(x) + 6980 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R 413440cosh(x) - 155040cosh(x) - 65280cosh(x) +--R + +--R 9 7 5 +--R 215760cosh(x) - 27520cosh(x) - 124320cosh(x) +--R + +--R 3 +--R 24320cosh(x) + 22760cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R 255170cosh(x) - 258400cosh(x) + 284920cosh(x) +--R + +--R 10 8 6 +--R 106560cosh(x) - 118420cosh(x) - 81120cosh(x) +--R + +--R 4 2 +--R 101320cosh(x) + 6320cosh(x) - 11620 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R - 76000cosh(x) - 155040cosh(x) + 451520cosh(x) +--R + +--R 11 9 7 +--R - 124240cosh(x) - 74400cosh(x) + 10720cosh(x) +--R + +--R 5 3 +--R 96640cosh(x) - 49160cosh(x) - 19840cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R - 295450cosh(x) + 58140cosh(x) + 284920cosh(x) +--R + +--R 12 10 8 +--R - 240240cosh(x) + 44980cosh(x) + 61560cosh(x) +--R + +--R 6 4 2 +--R 31400cosh(x) - 55920cosh(x) + 14900cosh(x) + 15120 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R - 256320cosh(x) + 190760cosh(x) - 65280cosh(x) +--R + +--R 13 11 9 +--R - 124240cosh(x) + 104000cosh(x) + 88720cosh(x) +--R + +--R 7 5 3 +--R - 24320cosh(x) - 19800cosh(x) + 25600cosh(x) + 1120cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R - 60390cosh(x) + 151240cosh(x) - 299710cosh(x) +--R + +--R 14 12 10 +--R 106560cosh(x) + 44980cosh(x) + 104720cosh(x) +--R + +--R 8 6 4 +--R - 100100cosh(x) - 6320cosh(x) - 3140cosh(x) +--R + +--R 2 +--R - 18720cosh(x) - 10480 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R 93280cosh(x) + 19400cosh(x) - 264400cosh(x) +--R + +--R 15 13 11 +--R 215760cosh(x) - 74400cosh(x) + 88720cosh(x) +--R + +--R 9 7 5 +--R - 151360cosh(x) + 46200cosh(x) + 19840cosh(x) +--R + +--R 3 +--R 19680cosh(x) + 17600cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R 113950cosh(x) - 69260cosh(x) - 72470cosh(x) +--R + +--R 16 14 12 +--R 106900cosh(x) - 118420cosh(x) + 61560cosh(x) +--R + +--R 10 8 6 +--R - 100100cosh(x) + 97880cosh(x) - 140cosh(x) +--R + +--R 4 2 +--R - 15120cosh(x) - 15280cosh(x) + 2800 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R 54400cosh(x) - 67440cosh(x) + 69760cosh(x) +--R + +--R 17 15 13 +--R - 67160cosh(x) - 27520cosh(x) + 10720cosh(x) +--R + +--R 11 9 7 +--R - 24320cosh(x) + 46200cosh(x) - 51200cosh(x) +--R + +--R 5 +--R - 20800cosh(x) - 9760cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 +--R 170cosh(x) - 23760cosh(x) + 85620cosh(x) +--R + +--R 18 16 14 +--R - 119520cosh(x) + 79910cosh(x) - 81120cosh(x) +--R + +--R 12 10 8 6 +--R 31400cosh(x) - 6320cosh(x) - 140cosh(x) + 37440cosh(x) +--R + +--R 4 2 +--R 25760cosh(x) + 20480cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 +--R - 17120cosh(x) + 6160cosh(x) + 39200cosh(x) +--R + +--R 19 17 15 +--R - 53480cosh(x) + 80240cosh(x) - 124320cosh(x) +--R + +--R 13 11 9 +--R 96640cosh(x) - 19800cosh(x) + 19840cosh(x) +--R + +--R 7 5 3 +--R - 20800cosh(x) - 35200cosh(x) - 31200cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 +--R - 12290cosh(x) + 11100cosh(x) + 4180cosh(x) +--R + +--R 20 18 16 +--R 12920cosh(x) + 13290cosh(x) - 63380cosh(x) +--R + +--R 14 12 10 +--R 101320cosh(x) - 55920cosh(x) - 3140cosh(x) +--R + +--R 8 6 4 +--R - 15120cosh(x) + 25760cosh(x) + 35360cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 +--R - 4800cosh(x) + 5880cosh(x) - 4480cosh(x) +--R + +--R 21 19 17 +--R 26040cosh(x) - 24480cosh(x) + 12600cosh(x) +--R + +--R 15 13 11 +--R 24320cosh(x) - 49160cosh(x) + 25600cosh(x) +--R + +--R 9 5 +--R 19680cosh(x) - 31200cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 +--R - 1150cosh(x) + 1720cosh(x) - 2490cosh(x) +--R + +--R 22 20 18 +--R 12960cosh(x) - 19070cosh(x) + 28760cosh(x) +--R + +--R 16 14 12 +--R - 28430cosh(x) + 6320cosh(x) + 14900cosh(x) +--R + +--R 10 8 6 +--R - 18720cosh(x) - 15280cosh(x) + 20480cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R - 160cosh(x) + 280cosh(x) - 560cosh(x) + 3080cosh(x) +--R + +--R 21 19 17 +--R - 5840cosh(x) + 12280cosh(x) - 20960cosh(x) +--R + +--R 15 13 11 +--R 22760cosh(x) - 19840cosh(x) + 1120cosh(x) +--R + +--R 9 7 +--R 17600cosh(x) - 9760cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 +--R - 10cosh(x) + 20cosh(x) - 50cosh(x) + 300cosh(x) +--R + +--R 22 20 18 16 +--R - 690cosh(x) + 1820cosh(x) - 4190cosh(x) + 6980cosh(x) +--R + +--R 14 12 10 8 +--R - 11620cosh(x) + 15120cosh(x) - 10480cosh(x) + 2800cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 32 +-+ 31 +--R - 5\|2 sinh(x) - 90\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (- 740\|2 cosh(x) + 5\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (- 3630\|2 cosh(x) + 80\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (- 11520\|2 cosh(x) + 575\|2 cosh(x) + 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 23250\|2 cosh(x) + 2400\|2 cosh(x) + 250\|2 cosh(x)) +--R * +--R 27 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 23180\|2 cosh(x) + 6145\|2 cosh(x) + 1930\|2 cosh(x) +--R + +--R +-+ +--R - 105\|2 +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 18810\|2 cosh(x) + 8560\|2 cosh(x) + 9090\|2 cosh(x) +--R + +--R +-+ +--R - 1460\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 111460\|2 cosh(x) - 85\|2 cosh(x) + 28805\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 9205\|2 cosh(x) + 475\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 187790\|2 cosh(x) - 27200\|2 cosh(x) + 63100\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 34400\|2 cosh(x) + 5510\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 120060\|2 cosh(x) - 56975\|2 cosh(x) + 90980\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 82670\|2 cosh(x) + 28040\|2 cosh(x) - 965\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 141910\|2 cosh(x) - 46640\|2 cosh(x) + 61020\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 125000\|2 cosh(x) + 80010\|2 cosh(x) - 8960\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R - 434240\|2 cosh(x) + 30195\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 72425\|2 cosh(x) - 86590\|2 cosh(x) + 129790\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 33875\|2 cosh(x) + 2525\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +--R - 461610\|2 cosh(x) + 128160\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 276530\|2 cosh(x) + 94240\|2 cosh(x) + 76690\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 58880\|2 cosh(x) + 19230\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 96140\|2 cosh(x) + 147725\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +--R - 409450\|2 cosh(x) + 364125\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 163160\|2 cosh(x) - 5935\|2 cosh(x) + 57170\|2 cosh(x) +--R + +--R +-+ +--R - 5915\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +--R 423890\|2 cosh(x) + 38000\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +--R - 309130\|2 cosh(x) + 531060\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 506690\|2 cosh(x) + 200960\|2 cosh(x) + 69550\|2 cosh(x) +--R + +--R +-+ +--R - 35500\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +--R 668610\|2 cosh(x) - 127585\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 43605\|2 cosh(x) + 394145\|2 cosh(x) - 693035\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 489655\|2 cosh(x) - 29895\|2 cosh(x) - 78955\|2 cosh(x) +--R + +--R +-+ +--R 9890\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +--R 423890\|2 cosh(x) - 206720\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 452200\|2 cosh(x) - 59840\|2 cosh(x) - 478180\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 624640\|2 cosh(x) - 229160\|2 cosh(x) - 63440\|2 cosh(x) +--R + +--R +-+ +--R 42340\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 96140\|2 cosh(x) - 127585\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 633080\|2 cosh(x) - 579700\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 135120\|2 cosh(x) + 394430\|2 cosh(x) - 368360\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 40620\|2 cosh(x) + 57880\|2 cosh(x) - 16440\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 461610\|2 cosh(x) + 38000\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 452200\|2 cosh(x) - 809200\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 822660\|2 cosh(x) - 192000\|2 cosh(x) - 290760\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 140880\|2 cosh(x) + 10700\|2 cosh(x) - 44560\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 434240\|2 cosh(x) + 147725\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 43605\|2 cosh(x) - 579700\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +--R 1125540\|2 cosh(x) - 843310\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 27370\|2 cosh(x) + 155020\|2 cosh(x) - 50360\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 31880\|2 cosh(x) + 21380\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +--R - 141910\|2 cosh(x) + 128160\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R - 309130\|2 cosh(x) - 59840\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +--R 822660\|2 cosh(x) - 1131520\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 431140\|2 cosh(x) + 63440\|2 cosh(x) - 96700\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 9440\|2 cosh(x) + 22920\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +--R 120060\|2 cosh(x) + 30195\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R - 409450\|2 cosh(x) + 394145\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 135120\|2 cosh(x) - 843310\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 622380\|2 cosh(x) - 110770\|2 cosh(x) - 139800\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 2280\|2 cosh(x) + 6840\|2 cosh(x) - 14820\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +--R 187790\|2 cosh(x) - 46640\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 276530\|2 cosh(x) + 531060\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 478180\|2 cosh(x) - 192000\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 431140\|2 cosh(x) - 210760\|2 cosh(x) - 120180\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 65040\|2 cosh(x) + 34280\|2 cosh(x) + 10080\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 111460\|2 cosh(x) - 56975\|2 cosh(x) - 72425\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +--R 364125\|2 cosh(x) - 693035\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R 394430\|2 cosh(x) + 27370\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 110770\|2 cosh(x) - 82900\|2 cosh(x) + 87000\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 6020\|2 cosh(x) - 18900\|2 cosh(x) + 3960\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 18810\|2 cosh(x) - 27200\|2 cosh(x) + 61020\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R 94240\|2 cosh(x) - 506690\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R 624640\|2 cosh(x) - 290760\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 63440\|2 cosh(x) - 120180\|2 cosh(x) + 59840\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 26480\|2 cosh(x) - 6400\|2 cosh(x) - 9840\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 23180\|2 cosh(x) - 85\|2 cosh(x) + 90980\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +--R - 86590\|2 cosh(x) - 163160\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +--R 489655\|2 cosh(x) - 368360\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 155020\|2 cosh(x) - 139800\|2 cosh(x) + 87000\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 17040\|2 cosh(x) + 20920\|2 cosh(x) + 21120\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R - 23250\|2 cosh(x) + 8560\|2 cosh(x) + 63100\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +--R - 125000\|2 cosh(x) + 76690\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +--R 200960\|2 cosh(x) - 229160\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 140880\|2 cosh(x) - 96700\|2 cosh(x) + 65040\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 26480\|2 cosh(x) - 32960\|2 cosh(x) - 29840\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R - 11520\|2 cosh(x) + 6145\|2 cosh(x) + 28805\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +--R - 82670\|2 cosh(x) + 129790\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 5935\|2 cosh(x) - 29895\|2 cosh(x) + 40620\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 50360\|2 cosh(x) + 2280\|2 cosh(x) - 6020\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R 20920\|2 cosh(x) + 34320\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 3630\|2 cosh(x) + 2400\|2 cosh(x) + 9090\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +--R - 34400\|2 cosh(x) + 80010\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 58880\|2 cosh(x) + 69550\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 63440\|2 cosh(x) + 10700\|2 cosh(x) - 9440\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 34280\|2 cosh(x) - 6400\|2 cosh(x) - 29840\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 740\|2 cosh(x) + 575\|2 cosh(x) + 1930\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 9205\|2 cosh(x) + 28040\|2 cosh(x) - 33875\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 57170\|2 cosh(x) - 78955\|2 cosh(x) + 57880\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 31880\|2 cosh(x) + 6840\|2 cosh(x) - 18900\|2 cosh(x) +--R + +--R +-+ 6 +--R 21120\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R - 90\|2 cosh(x) + 80\|2 cosh(x) + 250\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R - 1460\|2 cosh(x) + 5510\|2 cosh(x) - 8960\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 19230\|2 cosh(x) - 35500\|2 cosh(x) + 42340\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 44560\|2 cosh(x) + 22920\|2 cosh(x) + 10080\|2 cosh(x) +--R + +--R +-+ 7 +--R - 9840\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +--R - 5\|2 cosh(x) + 5\|2 cosh(x) + 15\|2 cosh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 105\|2 cosh(x) + 475\|2 cosh(x) - 965\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 2525\|2 cosh(x) - 5915\|2 cosh(x) + 9890\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 16440\|2 cosh(x) + 21380\|2 cosh(x) - 14820\|2 cosh(x) +--R + +--R +-+ 8 +--R 3960\|2 cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 32 +-+ 31 +--R 5\|2 sinh(x) + 90\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (740\|2 cosh(x) - 5\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (3630\|2 cosh(x) - 80\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (11520\|2 cosh(x) - 575\|2 cosh(x) - 15\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 27 +--R (23250\|2 cosh(x) - 2400\|2 cosh(x) - 250\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (23180\|2 cosh(x) - 6145\|2 cosh(x) - 1930\|2 cosh(x) + 105\|2 ) +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 18810\|2 cosh(x) - 8560\|2 cosh(x) - 9090\|2 cosh(x) +--R + +--R +-+ +--R 1460\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 111460\|2 cosh(x) + 85\|2 cosh(x) - 28805\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 9205\|2 cosh(x) - 475\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 187790\|2 cosh(x) + 27200\|2 cosh(x) - 63100\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 34400\|2 cosh(x) - 5510\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 120060\|2 cosh(x) + 56975\|2 cosh(x) - 90980\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 82670\|2 cosh(x) - 28040\|2 cosh(x) + 965\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 141910\|2 cosh(x) + 46640\|2 cosh(x) - 61020\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 125000\|2 cosh(x) - 80010\|2 cosh(x) + 8960\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 434240\|2 cosh(x) - 30195\|2 cosh(x) + 72425\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 86590\|2 cosh(x) - 129790\|2 cosh(x) + 33875\|2 cosh(x) +--R + +--R +-+ +--R - 2525\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 461610\|2 cosh(x) - 128160\|2 cosh(x) + 276530\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 94240\|2 cosh(x) - 76690\|2 cosh(x) + 58880\|2 cosh(x) +--R + +--R +-+ +--R - 19230\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 96140\|2 cosh(x) - 147725\|2 cosh(x) + 409450\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 364125\|2 cosh(x) + 163160\|2 cosh(x) + 5935\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 57170\|2 cosh(x) + 5915\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 423890\|2 cosh(x) - 38000\|2 cosh(x) + 309130\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 531060\|2 cosh(x) + 506690\|2 cosh(x) - 200960\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 69550\|2 cosh(x) + 35500\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 668610\|2 cosh(x) + 127585\|2 cosh(x) - 43605\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 394145\|2 cosh(x) + 693035\|2 cosh(x) - 489655\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 29895\|2 cosh(x) + 78955\|2 cosh(x) - 9890\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 423890\|2 cosh(x) + 206720\|2 cosh(x) - 452200\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 59840\|2 cosh(x) + 478180\|2 cosh(x) - 624640\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 229160\|2 cosh(x) + 63440\|2 cosh(x) - 42340\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 96140\|2 cosh(x) + 127585\|2 cosh(x) - 633080\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 579700\|2 cosh(x) - 135120\|2 cosh(x) - 394430\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 368360\|2 cosh(x) - 40620\|2 cosh(x) - 57880\|2 cosh(x) +--R + +--R +-+ +--R 16440\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 461610\|2 cosh(x) - 38000\|2 cosh(x) - 452200\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 809200\|2 cosh(x) - 822660\|2 cosh(x) + 192000\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 290760\|2 cosh(x) - 140880\|2 cosh(x) - 10700\|2 cosh(x) +--R + +--R +-+ +--R 44560\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 434240\|2 cosh(x) - 147725\|2 cosh(x) - 43605\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 579700\|2 cosh(x) - 1125540\|2 cosh(x) + 843310\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 27370\|2 cosh(x) - 155020\|2 cosh(x) + 50360\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 31880\|2 cosh(x) - 21380\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 141910\|2 cosh(x) - 128160\|2 cosh(x) + 309130\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 59840\|2 cosh(x) - 822660\|2 cosh(x) + 1131520\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 431140\|2 cosh(x) - 63440\|2 cosh(x) + 96700\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 9440\|2 cosh(x) - 22920\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R - 120060\|2 cosh(x) - 30195\|2 cosh(x) + 409450\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 394145\|2 cosh(x) - 135120\|2 cosh(x) + 843310\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 622380\|2 cosh(x) + 110770\|2 cosh(x) + 139800\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 2280\|2 cosh(x) - 6840\|2 cosh(x) + 14820\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R - 187790\|2 cosh(x) + 46640\|2 cosh(x) + 276530\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 531060\|2 cosh(x) + 478180\|2 cosh(x) + 192000\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 431140\|2 cosh(x) + 210760\|2 cosh(x) + 120180\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 65040\|2 cosh(x) - 34280\|2 cosh(x) - 10080\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 111460\|2 cosh(x) + 56975\|2 cosh(x) + 72425\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 364125\|2 cosh(x) + 693035\|2 cosh(x) - 394430\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 27370\|2 cosh(x) + 110770\|2 cosh(x) + 82900\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 87000\|2 cosh(x) + 6020\|2 cosh(x) + 18900\|2 cosh(x) +--R + +--R +-+ +--R - 3960\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R - 18810\|2 cosh(x) + 27200\|2 cosh(x) - 61020\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 94240\|2 cosh(x) + 506690\|2 cosh(x) - 624640\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 290760\|2 cosh(x) - 63440\|2 cosh(x) + 120180\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 59840\|2 cosh(x) + 26480\|2 cosh(x) + 6400\|2 cosh(x) +--R + +--R +-+ +--R 9840\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R 23180\|2 cosh(x) + 85\|2 cosh(x) - 90980\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 86590\|2 cosh(x) + 163160\|2 cosh(x) - 489655\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R 368360\|2 cosh(x) - 155020\|2 cosh(x) + 139800\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 87000\|2 cosh(x) - 17040\|2 cosh(x) - 20920\|2 cosh(x) +--R + +--R +-+ 2 +--R - 21120\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R 23250\|2 cosh(x) - 8560\|2 cosh(x) - 63100\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R 125000\|2 cosh(x) - 76690\|2 cosh(x) - 200960\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 229160\|2 cosh(x) - 140880\|2 cosh(x) + 96700\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 65040\|2 cosh(x) + 26480\|2 cosh(x) + 32960\|2 cosh(x) +--R + +--R +-+ 3 +--R 29840\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R 11520\|2 cosh(x) - 6145\|2 cosh(x) - 28805\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 82670\|2 cosh(x) - 129790\|2 cosh(x) + 5935\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 29895\|2 cosh(x) - 40620\|2 cosh(x) + 50360\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 2280\|2 cosh(x) + 6020\|2 cosh(x) - 20920\|2 cosh(x) +--R + +--R +-+ 4 +--R - 34320\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R 3630\|2 cosh(x) - 2400\|2 cosh(x) - 9090\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 34400\|2 cosh(x) - 80010\|2 cosh(x) + 58880\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R - 69550\|2 cosh(x) + 63440\|2 cosh(x) - 10700\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 9440\|2 cosh(x) - 34280\|2 cosh(x) + 6400\|2 cosh(x) +--R + +--R +-+ 5 +--R 29840\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R 740\|2 cosh(x) - 575\|2 cosh(x) - 1930\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 9205\|2 cosh(x) - 28040\|2 cosh(x) + 33875\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 57170\|2 cosh(x) + 78955\|2 cosh(x) - 57880\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 31880\|2 cosh(x) - 6840\|2 cosh(x) + 18900\|2 cosh(x) +--R + +--R +-+ 6 +--R - 21120\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R 90\|2 cosh(x) - 80\|2 cosh(x) - 250\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 1460\|2 cosh(x) - 5510\|2 cosh(x) + 8960\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R - 19230\|2 cosh(x) + 35500\|2 cosh(x) - 42340\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R 44560\|2 cosh(x) - 22920\|2 cosh(x) - 10080\|2 cosh(x) +--R + +--R +-+ 7 +--R 9840\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +-+ 26 +--R 5\|2 cosh(x) - 5\|2 cosh(x) - 15\|2 cosh(x) + 105\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 475\|2 cosh(x) + 965\|2 cosh(x) - 2525\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 5915\|2 cosh(x) - 9890\|2 cosh(x) + 16440\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 21380\|2 cosh(x) + 14820\|2 cosh(x) - 3960\|2 cosh(x) +--R * +--R +------------+ +--R | 2 +--R \|coth(x) + 1 +--R / +--R 30 29 2 28 +--R 4sinh(x) + 64cosh(x)sinh(x) + (460cosh(x) - 8)sinh(x) +--R + +--R 3 27 +--R (1920cosh(x) - 112cosh(x))sinh(x) +--R + +--R 4 2 26 +--R (4916cosh(x) - 688cosh(x) + 20)sinh(x) +--R + +--R 5 3 25 +--R (6848cosh(x) - 2352cosh(x) + 224cosh(x))sinh(x) +--R + +--R 6 4 2 24 +--R (- 68cosh(x) - 4440cosh(x) + 996cosh(x) - 120)sinh(x) +--R + +--R 7 5 3 +--R (- 21760cosh(x) - 2464cosh(x) + 1792cosh(x) - 1232cosh(x)) +--R * +--R 23 +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 45580cosh(x) + 9504cosh(x) - 1672cosh(x) - 5184cosh(x) +--R + +--R 276 +--R * +--R 22 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 37312cosh(x) + 26976cosh(x) - 15680cosh(x) - 10416cosh(x) +--R + +--R 2336cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 24156cosh(x) + 27704cosh(x) - 34248cosh(x) - 5168cosh(x) +--R + +--R 2 +--R 7628cosh(x) - 728 +--R * +--R 20 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 102528cosh(x) - 7760cosh(x) - 27904cosh(x) + 21392cosh(x) +--R + +--R 3 +--R 9792cosh(x) - 4912cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 12 10 8 +--R 118180cosh(x) - 60496cosh(x) + 28988cosh(x) +--R + +--R 6 4 2 +--R 47808cosh(x) - 5316cosh(x) - 11504cosh(x) + 1676 +--R * +--R 18 +--R sinh(x) +--R + +--R 13 11 9 +--R 30400cosh(x) - 76304cosh(x) + 105760cosh(x) +--R + +--R 7 5 3 +--R 26864cosh(x) - 32096cosh(x) - 5040cosh(x) + 8384cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 14 12 10 +--R - 102068cosh(x) - 23256cosh(x) + 119884cosh(x) +--R + +--R 8 6 4 2 +--R - 42760cosh(x) - 31964cosh(x) + 25352cosh(x) + 11372cosh(x) +--R + +--R - 2792 +--R * +--R 16 +--R sinh(x) +--R + +--R 15 13 11 +--R - 165376cosh(x) + 62016cosh(x) + 26112cosh(x) +--R + +--R 9 7 5 3 +--R - 86304cosh(x) + 11008cosh(x) + 49728cosh(x) - 9728cosh(x) +--R + +--R - 9104cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 16 14 12 +--R - 102068cosh(x) + 103360cosh(x) - 113968cosh(x) +--R + +--R 10 8 6 +--R - 42624cosh(x) + 47368cosh(x) + 32448cosh(x) +--R + +--R 4 2 +--R - 40528cosh(x) - 2528cosh(x) + 4648 +--R * +--R 14 +--R sinh(x) +--R + +--R 17 15 13 +--R 30400cosh(x) + 62016cosh(x) - 180608cosh(x) +--R + +--R 11 9 7 5 +--R 49696cosh(x) + 29760cosh(x) - 4288cosh(x) - 38656cosh(x) +--R + +--R 3 +--R 19664cosh(x) + 7936cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 18 16 14 +--R 118180cosh(x) - 23256cosh(x) - 113968cosh(x) +--R + +--R 12 10 8 6 +--R 96096cosh(x) - 17992cosh(x) - 24624cosh(x) - 12560cosh(x) +--R + +--R 4 2 +--R 22368cosh(x) - 5960cosh(x) - 6048 +--R * +--R 12 +--R sinh(x) +--R + +--R 19 17 15 +--R 102528cosh(x) - 76304cosh(x) + 26112cosh(x) +--R + +--R 13 11 9 7 +--R 49696cosh(x) - 41600cosh(x) - 35488cosh(x) + 9728cosh(x) +--R + +--R 5 3 +--R 7920cosh(x) - 10240cosh(x) - 448cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 20 18 16 +--R 24156cosh(x) - 60496cosh(x) + 119884cosh(x) +--R + +--R 14 12 10 +--R - 42624cosh(x) - 17992cosh(x) - 41888cosh(x) +--R + +--R 8 6 4 2 +--R 40040cosh(x) + 2528cosh(x) + 1256cosh(x) + 7488cosh(x) + 4192 +--R * +--R 10 +--R sinh(x) +--R + +--R 21 19 17 +--R - 37312cosh(x) - 7760cosh(x) + 105760cosh(x) +--R + +--R 15 13 11 +--R - 86304cosh(x) + 29760cosh(x) - 35488cosh(x) +--R + +--R 9 7 5 3 +--R 60544cosh(x) - 18480cosh(x) - 7936cosh(x) - 7872cosh(x) +--R + +--R - 7040cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 22 20 18 +--R - 45580cosh(x) + 27704cosh(x) + 28988cosh(x) +--R + +--R 16 14 12 +--R - 42760cosh(x) + 47368cosh(x) - 24624cosh(x) +--R + +--R 10 8 6 4 +--R 40040cosh(x) - 39152cosh(x) + 56cosh(x) + 6048cosh(x) +--R + +--R 2 +--R 6112cosh(x) - 1120 +--R * +--R 8 +--R sinh(x) +--R + +--R 23 21 19 +--R - 21760cosh(x) + 26976cosh(x) - 27904cosh(x) +--R + +--R 17 15 13 11 +--R 26864cosh(x) + 11008cosh(x) - 4288cosh(x) + 9728cosh(x) +--R + +--R 9 7 5 +--R - 18480cosh(x) + 20480cosh(x) + 8320cosh(x) + 3904cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 24 22 20 18 +--R - 68cosh(x) + 9504cosh(x) - 34248cosh(x) + 47808cosh(x) +--R + +--R 16 14 12 +--R - 31964cosh(x) + 32448cosh(x) - 12560cosh(x) +--R + +--R 10 8 6 4 +--R 2528cosh(x) + 56cosh(x) - 14976cosh(x) - 10304cosh(x) +--R + +--R 2 +--R - 8192cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 25 23 21 19 +--R 6848cosh(x) - 2464cosh(x) - 15680cosh(x) + 21392cosh(x) +--R + +--R 17 15 13 +--R - 32096cosh(x) + 49728cosh(x) - 38656cosh(x) +--R + +--R 11 9 7 5 +--R 7920cosh(x) - 7936cosh(x) + 8320cosh(x) + 14080cosh(x) +--R + +--R 3 +--R 12480cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 26 24 22 20 +--R 4916cosh(x) - 4440cosh(x) - 1672cosh(x) - 5168cosh(x) +--R + +--R 18 16 14 +--R - 5316cosh(x) + 25352cosh(x) - 40528cosh(x) +--R + +--R 12 10 8 6 +--R 22368cosh(x) + 1256cosh(x) + 6048cosh(x) - 10304cosh(x) +--R + +--R 4 +--R - 14144cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 27 25 23 21 +--R 1920cosh(x) - 2352cosh(x) + 1792cosh(x) - 10416cosh(x) +--R + +--R 19 17 15 13 +--R 9792cosh(x) - 5040cosh(x) - 9728cosh(x) + 19664cosh(x) +--R + +--R 11 9 5 +--R - 10240cosh(x) - 7872cosh(x) + 12480cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 28 26 24 22 +--R 460cosh(x) - 688cosh(x) + 996cosh(x) - 5184cosh(x) +--R + +--R 20 18 16 14 +--R 7628cosh(x) - 11504cosh(x) + 11372cosh(x) - 2528cosh(x) +--R + +--R 12 10 8 6 +--R - 5960cosh(x) + 7488cosh(x) + 6112cosh(x) - 8192cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 29 27 25 23 +--R 64cosh(x) - 112cosh(x) + 224cosh(x) - 1232cosh(x) +--R + +--R 21 19 17 15 +--R 2336cosh(x) - 4912cosh(x) + 8384cosh(x) - 9104cosh(x) +--R + +--R 13 11 9 7 +--R 7936cosh(x) - 448cosh(x) - 7040cosh(x) + 3904cosh(x) +--R * +--R sinh(x) +--R + +--R 30 28 26 24 22 +--R 4cosh(x) - 8cosh(x) + 20cosh(x) - 120cosh(x) + 276cosh(x) +--R + +--R 20 18 16 14 +--R - 728cosh(x) + 1676cosh(x) - 2792cosh(x) + 4648cosh(x) +--R + +--R 12 10 8 +--R - 6048cosh(x) + 4192cosh(x) - 1120cosh(x) +--R * +--R +-------------------------------------+ +--R | 2 2 +--R | 4sinh(x) + 4cosh(x) +--R tanh(x) |------------------------------------- +--R | 2 2 +--R \|sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-+ 32 +-+ 31 +--R - 2\|2 sinh(x) - 36\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 30 +--R (- 296\|2 cosh(x) + 2\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 29 +--R (- 1452\|2 cosh(x) + 32\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 28 +--R (- 4608\|2 cosh(x) + 230\|2 cosh(x) + 6\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 27 +--R (- 9300\|2 cosh(x) + 960\|2 cosh(x) + 100\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 9272\|2 cosh(x) + 2458\|2 cosh(x) + 772\|2 cosh(x) +--R + +--R +-+ +--R - 42\|2 +--R * +--R 26 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 7524\|2 cosh(x) + 3424\|2 cosh(x) + 3636\|2 cosh(x) +--R + +--R +-+ +--R - 584\|2 cosh(x) +--R * +--R 25 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 44584\|2 cosh(x) - 34\|2 cosh(x) + 11522\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 3682\|2 cosh(x) + 190\|2 +--R * +--R 24 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 75116\|2 cosh(x) - 10880\|2 cosh(x) + 25240\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R - 13760\|2 cosh(x) + 2204\|2 cosh(x) +--R * +--R 23 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 48024\|2 cosh(x) - 22790\|2 cosh(x) + 36392\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 33068\|2 cosh(x) + 11216\|2 cosh(x) - 386\|2 +--R * +--R 22 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 56764\|2 cosh(x) - 18656\|2 cosh(x) + 24408\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 50000\|2 cosh(x) + 32004\|2 cosh(x) - 3584\|2 cosh(x) +--R * +--R 21 +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 173696\|2 cosh(x) + 12078\|2 cosh(x) - 28970\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 34636\|2 cosh(x) + 51916\|2 cosh(x) - 13550\|2 cosh(x) +--R + +--R +-+ +--R 1010\|2 +--R * +--R 20 +--R sinh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 184644\|2 cosh(x) + 51264\|2 cosh(x) - 110612\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 37696\|2 cosh(x) + 30676\|2 cosh(x) - 23552\|2 cosh(x) +--R + +--R +-+ +--R 7692\|2 cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 38456\|2 cosh(x) + 59090\|2 cosh(x) - 163780\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 145650\|2 cosh(x) - 65264\|2 cosh(x) - 2374\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 22868\|2 cosh(x) - 2366\|2 +--R * +--R 18 +--R sinh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 169556\|2 cosh(x) + 15200\|2 cosh(x) - 123652\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 212424\|2 cosh(x) - 202676\|2 cosh(x) + 80384\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 27820\|2 cosh(x) - 14200\|2 cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 267444\|2 cosh(x) - 51034\|2 cosh(x) + 17442\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 157658\|2 cosh(x) - 277214\|2 cosh(x) + 195862\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 11958\|2 cosh(x) - 31582\|2 cosh(x) + 3956\|2 +--R * +--R 16 +--R sinh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 169556\|2 cosh(x) - 82688\|2 cosh(x) + 180880\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 23936\|2 cosh(x) - 191272\|2 cosh(x) + 249856\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 91664\|2 cosh(x) - 25376\|2 cosh(x) + 16936\|2 cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R - 38456\|2 cosh(x) - 51034\|2 cosh(x) + 253232\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 231880\|2 cosh(x) + 54048\|2 cosh(x) + 157772\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 147344\|2 cosh(x) + 16248\|2 cosh(x) + 23152\|2 cosh(x) +--R + +--R +-+ +--R - 6576\|2 +--R * +--R 14 +--R sinh(x) +--R + +--R +-+ 19 +-+ 17 +--R - 184644\|2 cosh(x) + 15200\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R 180880\|2 cosh(x) - 323680\|2 cosh(x) + 329064\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 76800\|2 cosh(x) - 116304\|2 cosh(x) + 56352\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R 4280\|2 cosh(x) - 17824\|2 cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 173696\|2 cosh(x) + 59090\|2 cosh(x) + 17442\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +--R - 231880\|2 cosh(x) + 450216\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R - 337324\|2 cosh(x) + 10948\|2 cosh(x) + 62008\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 20144\|2 cosh(x) - 12752\|2 cosh(x) + 8552\|2 +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R - 56764\|2 cosh(x) + 51264\|2 cosh(x) - 123652\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +--R - 23936\|2 cosh(x) + 329064\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 452608\|2 cosh(x) + 172456\|2 cosh(x) + 25376\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 38680\|2 cosh(x) - 3776\|2 cosh(x) + 9168\|2 cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R 48024\|2 cosh(x) + 12078\|2 cosh(x) - 163780\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R 157658\|2 cosh(x) + 54048\|2 cosh(x) - 337324\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 248952\|2 cosh(x) - 44308\|2 cosh(x) - 55920\|2 cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 912\|2 cosh(x) + 2736\|2 cosh(x) - 5928\|2 +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R 75116\|2 cosh(x) - 18656\|2 cosh(x) - 110612\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 212424\|2 cosh(x) - 191272\|2 cosh(x) - 76800\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 172456\|2 cosh(x) - 84304\|2 cosh(x) - 48072\|2 cosh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 26016\|2 cosh(x) + 13712\|2 cosh(x) + 4032\|2 cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R 44584\|2 cosh(x) - 22790\|2 cosh(x) - 28970\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 145650\|2 cosh(x) - 277214\|2 cosh(x) + 157772\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 10948\|2 cosh(x) - 44308\|2 cosh(x) - 33160\|2 cosh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 34800\|2 cosh(x) - 2408\|2 cosh(x) - 7560\|2 cosh(x) +--R + +--R +-+ +--R 1584\|2 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R 7524\|2 cosh(x) - 10880\|2 cosh(x) + 24408\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 37696\|2 cosh(x) - 202676\|2 cosh(x) + 249856\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 116304\|2 cosh(x) + 25376\|2 cosh(x) - 48072\|2 cosh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 23936\|2 cosh(x) - 10592\|2 cosh(x) - 2560\|2 cosh(x) +--R + +--R +-+ +--R - 3936\|2 cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 9272\|2 cosh(x) - 34\|2 cosh(x) + 36392\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R - 34636\|2 cosh(x) - 65264\|2 cosh(x) + 195862\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 147344\|2 cosh(x) + 62008\|2 cosh(x) - 55920\|2 cosh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 34800\|2 cosh(x) + 6816\|2 cosh(x) + 8368\|2 cosh(x) +--R + +--R +-+ 2 +--R 8448\|2 cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 27 +-+ 25 +-+ 23 +--R - 9300\|2 cosh(x) + 3424\|2 cosh(x) + 25240\|2 cosh(x) +--R + +--R +-+ 21 +-+ 19 +-+ 17 +--R - 50000\|2 cosh(x) + 30676\|2 cosh(x) + 80384\|2 cosh(x) +--R + +--R +-+ 15 +-+ 13 +-+ 11 +--R - 91664\|2 cosh(x) + 56352\|2 cosh(x) - 38680\|2 cosh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 26016\|2 cosh(x) - 10592\|2 cosh(x) - 13184\|2 cosh(x) +--R + +--R +-+ 3 +--R - 11936\|2 cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 28 +-+ 26 +-+ 24 +--R - 4608\|2 cosh(x) + 2458\|2 cosh(x) + 11522\|2 cosh(x) +--R + +--R +-+ 22 +-+ 20 +-+ 18 +--R - 33068\|2 cosh(x) + 51916\|2 cosh(x) - 2374\|2 cosh(x) +--R + +--R +-+ 16 +-+ 14 +-+ 12 +--R - 11958\|2 cosh(x) + 16248\|2 cosh(x) - 20144\|2 cosh(x) +--R + +--R +-+ 10 +-+ 8 +-+ 6 +--R 912\|2 cosh(x) - 2408\|2 cosh(x) + 8368\|2 cosh(x) +--R + +--R +-+ 4 +--R 13728\|2 cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 29 +-+ 27 +-+ 25 +--R - 1452\|2 cosh(x) + 960\|2 cosh(x) + 3636\|2 cosh(x) +--R + +--R +-+ 23 +-+ 21 +-+ 19 +--R - 13760\|2 cosh(x) + 32004\|2 cosh(x) - 23552\|2 cosh(x) +--R + +--R +-+ 17 +-+ 15 +-+ 13 +--R 27820\|2 cosh(x) - 25376\|2 cosh(x) + 4280\|2 cosh(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R - 3776\|2 cosh(x) + 13712\|2 cosh(x) - 2560\|2 cosh(x) +--R + +--R +-+ 5 +--R - 11936\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 30 +-+ 28 +-+ 26 +--R - 296\|2 cosh(x) + 230\|2 cosh(x) + 772\|2 cosh(x) +--R + +--R +-+ 24 +-+ 22 +-+ 20 +--R - 3682\|2 cosh(x) + 11216\|2 cosh(x) - 13550\|2 cosh(x) +--R + +--R +-+ 18 +-+ 16 +-+ 14 +--R 22868\|2 cosh(x) - 31582\|2 cosh(x) + 23152\|2 cosh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R - 12752\|2 cosh(x) + 2736\|2 cosh(x) - 7560\|2 cosh(x) +--R + +--R +-+ 6 +--R 8448\|2 cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 31 +-+ 29 +-+ 27 +--R - 36\|2 cosh(x) + 32\|2 cosh(x) + 100\|2 cosh(x) +--R + +--R +-+ 25 +-+ 23 +-+ 21 +--R - 584\|2 cosh(x) + 2204\|2 cosh(x) - 3584\|2 cosh(x) +--R + +--R +-+ 19 +-+ 17 +-+ 15 +--R 7692\|2 cosh(x) - 14200\|2 cosh(x) + 16936\|2 cosh(x) +--R + +--R +-+ 13 +-+ 11 +-+ 9 +--R - 17824\|2 cosh(x) + 9168\|2 cosh(x) + 4032\|2 cosh(x) +--R + +--R +-+ 7 +--R - 3936\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 32 +-+ 30 +-+ 28 +--R - 2\|2 cosh(x) + 2\|2 cosh(x) + 6\|2 cosh(x) +--R + +--R +-+ 26 +-+ 24 +-+ 22 +--R - 42\|2 cosh(x) + 190\|2 cosh(x) - 386\|2 cosh(x) +--R + +--R +-+ 20 +-+ 18 +-+ 16 +--R 1010\|2 cosh(x) - 2366\|2 cosh(x) + 3956\|2 cosh(x) +--R + +--R +-+ 14 +-+ 12 +-+ 10 +--R - 6576\|2 cosh(x) + 8552\|2 cosh(x) - 5928\|2 cosh(x) +--R + +--R +-+ 8 +--R 1584\|2 cosh(x) +--R * +--R tanh(x) +--R * +--R +------------+ +------------+ +--R | 2 | 2 +--R \|coth(x) + 1 \|tanh(x) + 1 +--R Type: Expression Integer +--E 316 + +--S 317 of 508 +t0362:= (-1+coth(x)^2)^(3/2) +--R +--R +--R +------------+ +--R 2 | 2 +--R (281) (coth(x) - 1)\|coth(x) - 1 +--R Type: Expression Integer +--E 317 + +--S 318 of 508 +r0362:= 1/2*(csch(x)^2)^(1/2)*(acoth(cosh(x))-coth(x)*csch(x))*sinh(x) +--R +--R +--R +--------+ +--R | 2 +--R (sinh(x)acoth(cosh(x)) - coth(x)csch(x)sinh(x))\|csch(x) +--R (282) ---------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 318 + +--S 319 of 508 +a0362:= integrate(t0362,x) +--R +--R +--R (283) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 4cosh(x))sinh(x) + cosh(x) - 2cosh(x) + 1 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 4 3 2 2 +--R - sinh(x) - 4cosh(x)sinh(x) + (- 6cosh(x) + 2)sinh(x) +--R + +--R 3 4 2 +--R (- 4cosh(x) + 4cosh(x))sinh(x) - cosh(x) + 2cosh(x) - 1 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 3 2 2 3 +--R - 2sinh(x) - 6cosh(x)sinh(x) + (- 6cosh(x) - 2)sinh(x) - 2cosh(x) +--R + +--R - 2cosh(x) +--R / +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) - 4)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) - 8cosh(x))sinh(x) + 2cosh(x) - 4cosh(x) + 2 +--R Type: Union(Expression Integer,...) +--E 319 + +--S 320 of 508 +m0362:= a0362-r0362 +--R +--R +--R (284) +--R 5 4 2 3 +--R - sinh(x) - 4cosh(x)sinh(x) + (- 6cosh(x) + 2)sinh(x) +--R + +--R 3 2 +--R (- 4cosh(x) + 4cosh(x))sinh(x) +--R + +--R 4 2 +--R (- cosh(x) + 2cosh(x) - 1)sinh(x) +--R * +--R acoth(cosh(x)) +--R + +--R 5 4 +--R coth(x)csch(x)sinh(x) + 4cosh(x)coth(x)csch(x)sinh(x) +--R + +--R 2 3 +--R (6cosh(x) - 2)coth(x)csch(x)sinh(x) +--R + +--R 3 2 +--R (4cosh(x) - 4cosh(x))coth(x)csch(x)sinh(x) +--R + +--R 4 2 +--R (cosh(x) - 2cosh(x) + 1)coth(x)csch(x)sinh(x) +--R * +--R +--------+ +--R | 2 +--R \|csch(x) +--R + +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 4cosh(x))sinh(x) + cosh(x) - 2cosh(x) + 1 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 4 3 2 2 +--R - sinh(x) - 4cosh(x)sinh(x) + (- 6cosh(x) + 2)sinh(x) +--R + +--R 3 4 2 +--R (- 4cosh(x) + 4cosh(x))sinh(x) - cosh(x) + 2cosh(x) - 1 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 3 2 2 3 +--R - 2sinh(x) - 6cosh(x)sinh(x) + (- 6cosh(x) - 2)sinh(x) - 2cosh(x) +--R + +--R - 2cosh(x) +--R / +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) - 4)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) - 8cosh(x))sinh(x) + 2cosh(x) - 4cosh(x) + 2 +--R Type: Expression Integer +--E 320 + +--S 321 of 508 +d0362:= D(m0362,x) +--R +--R +--R (285) +--R 2 3 3 2 +--R (16cosh(x) - 16)sinh(x) + (48cosh(x) - 48cosh(x))sinh(x) +--R + +--R 4 2 5 3 +--R (48cosh(x) - 48cosh(x) )sinh(x) + 16cosh(x) - 16cosh(x) +--R * +--R +--------+ +--R | 2 +--R \|csch(x) +--R + +--R 2 2 7 +--R (cosh(x) - 1)coth(x)csch(x) sinh(x) +--R + +--R 3 3 2 6 +--R ((6cosh(x) - 6cosh(x))coth(x) - cosh(x) + cosh(x))csch(x) sinh(x) +--R + +--R 4 2 4 2 +--R ((15cosh(x) - 18cosh(x) + 3)coth(x) - 6cosh(x) + 6cosh(x) ) +--R * +--R 2 5 +--R csch(x) sinh(x) +--R + +--R 5 3 5 +--R (20cosh(x) - 32cosh(x) + 12cosh(x))coth(x) - 15cosh(x) +--R + +--R 3 +--R 18cosh(x) - 3cosh(x) +--R * +--R 2 4 +--R csch(x) sinh(x) +--R + +--R 6 4 2 6 +--R (15cosh(x) - 33cosh(x) + 21cosh(x) - 3)coth(x) - 20cosh(x) +--R + +--R 4 2 +--R 32cosh(x) - 12cosh(x) +--R * +--R 2 3 +--R csch(x) sinh(x) +--R + +--R 7 5 3 +--R (6cosh(x) - 18cosh(x) + 18cosh(x) - 6cosh(x))coth(x) +--R + +--R 7 5 3 +--R - 15cosh(x) + 33cosh(x) - 21cosh(x) + 3cosh(x) +--R * +--R 2 2 +--R csch(x) sinh(x) +--R + +--R 8 6 4 2 +--R (cosh(x) - 4cosh(x) + 6cosh(x) - 4cosh(x) + 1)coth(x) +--R + +--R 8 6 4 2 +--R - 6cosh(x) + 18cosh(x) - 18cosh(x) + 6cosh(x) +--R * +--R 2 +--R csch(x) sinh(x) +--R + +--R 9 7 5 3 2 +--R (- cosh(x) + 4cosh(x) - 6cosh(x) + 4cosh(x) - cosh(x))csch(x) +--R * +--R acoth(cosh(x)) +--R + +--R 2 8 +--R csch(x) sinh(x) +--R + +--R 2 2 2 3 2 +--R (((- 3cosh(x) + 3)coth(x) + cosh(x) - 1)csch(x) + 6cosh(x)csch(x) ) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 3 +--R (- 18cosh(x) + 18cosh(x))coth(x) + (cosh(x) - cosh(x))coth(x) +--R + +--R 3 +--R 6cosh(x) - 6cosh(x) +--R * +--R 3 +--R csch(x) +--R + +--R 2 2 +--R (15cosh(x) - 3)csch(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 2 +--R (- 45cosh(x) + 54cosh(x) - 9)coth(x) +--R + +--R 4 2 4 2 +--R (6cosh(x) - 6cosh(x) )coth(x) + 15cosh(x) - 18cosh(x) + 3 +--R * +--R 3 +--R csch(x) +--R + +--R 3 2 +--R (20cosh(x) - 12cosh(x))csch(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 2 +--R (- 60cosh(x) + 96cosh(x) - 36cosh(x))coth(x) +--R + +--R 5 3 5 +--R (15cosh(x) - 18cosh(x) + 3cosh(x))coth(x) + 20cosh(x) +--R + +--R 3 +--R - 32cosh(x) + 12cosh(x) +--R * +--R 3 +--R csch(x) +--R + +--R 4 2 2 +--R (15cosh(x) - 18cosh(x) + 3)csch(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 6 4 2 2 +--R (- 45cosh(x) + 99cosh(x) - 63cosh(x) + 9)coth(x) +--R + +--R 6 4 2 6 +--R (20cosh(x) - 32cosh(x) + 12cosh(x) )coth(x) + 15cosh(x) +--R + +--R 4 2 +--R - 33cosh(x) + 21cosh(x) - 3 +--R * +--R 3 +--R csch(x) +--R + +--R 5 3 2 +--R (6cosh(x) - 12cosh(x) + 6cosh(x))csch(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 7 5 3 2 +--R (- 18cosh(x) + 54cosh(x) - 54cosh(x) + 18cosh(x))coth(x) +--R + +--R 7 5 3 +--R (15cosh(x) - 33cosh(x) + 21cosh(x) - 3cosh(x))coth(x) +--R + +--R 7 5 3 +--R 6cosh(x) - 18cosh(x) + 18cosh(x) - 6cosh(x) +--R * +--R 3 +--R csch(x) +--R + +--R 6 4 2 2 +--R (cosh(x) - 3cosh(x) + 3cosh(x) - 1)csch(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 6 4 2 2 +--R (- 3cosh(x) + 12cosh(x) - 18cosh(x) + 12cosh(x) - 3)coth(x) +--R + +--R 8 6 4 2 8 +--R (6cosh(x) - 18cosh(x) + 18cosh(x) - 6cosh(x) )coth(x) + cosh(x) +--R + +--R 6 4 2 +--R - 4cosh(x) + 6cosh(x) - 4cosh(x) + 1 +--R * +--R 3 +--R csch(x) sinh(x) +--R + +--R 9 7 5 3 3 +--R (cosh(x) - 4cosh(x) + 6cosh(x) - 4cosh(x) + cosh(x))coth(x)csch(x) +--R / +--R 2 6 3 5 +--R (2cosh(x) - 2)sinh(x) + (12cosh(x) - 12cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (30cosh(x) - 36cosh(x) + 6)sinh(x) +--R + +--R 5 3 3 +--R (40cosh(x) - 64cosh(x) + 24cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (30cosh(x) - 66cosh(x) + 42cosh(x) - 6)sinh(x) +--R + +--R 7 5 3 8 +--R (12cosh(x) - 36cosh(x) + 36cosh(x) - 12cosh(x))sinh(x) + 2cosh(x) +--R + +--R 6 4 2 +--R - 8cosh(x) + 12cosh(x) - 8cosh(x) + 2 +--R * +--R +--------+ +--R | 2 +--R \|csch(x) +--R Type: Expression Integer +--E 321 + +--S 322 of 508 +t0363:= (-1-coth(x)^2)^(3/2) +--R +--R +--R +--------------+ +--R 2 | 2 +--R (286) (- coth(x) - 1)\|- coth(x) - 1 +--R Type: Expression Integer +--E 322 + +--S 323 of 508 +r0363:= 2*2^(1/2)*atan(2^(1/2)*coth(x)/(-1-coth(x)^2)^(1/2))+5/2*atan((-1-coth(x)^2)^(1/2)*tanh(x))+1/2*coth(x)*(-1-coth(x)^2)^(1/2) +--R +--R +--R (287) +--R +--------------+ +-+ +--R | 2 +-+ \|2 coth(x) +--R 5atan(tanh(x)\|- coth(x) - 1 ) + 4\|2 atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R + +--R +--------------+ +--R | 2 +--R coth(x)\|- coth(x) - 1 +--R / +--R 2 +--R Type: Expression Integer +--E 323 + +--S 324 of 508 +a0363:= integrate(t0363,x) +--R +--R +--R (288) +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (10\|- 1 (%e ) - 20\|- 1 (%e ) + 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R - 5\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 (%e ) - 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R 20\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 - 2)(%e ) + 2 +--R log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (- 4\|- 2 (%e ) + 8\|- 2 (%e ) - 4\|- 2 )\|- 2(%e ) - 2 - 4(%e ) +--R + +--R x 6 x 4 x 2 +--R 8(%e ) - 12(%e ) + 16(%e ) - 8 +--R * +--R +-------------+ +--R +---+ | x 4 x 2 +--R \|- 2 \|- 2(%e ) - 2 - 2(%e ) + 2 +--R log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (- 10\|- 1 (%e ) + 20\|- 1 (%e ) - 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R 5\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 (%e ) + 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R - 20\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 - 2)(%e ) + 2 +--R log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (4\|- 2 (%e ) - 8\|- 2 (%e ) + 4\|- 2 )\|- 2(%e ) - 2 + 4(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) + 12(%e ) - 16(%e ) + 8 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 6 +---+ x 4 +---+ x 2 | x 4 x 8 +--R (- \|- 2 (%e ) + \|- 2 (%e ) - 6\|- 2 (%e ) )\|- 2(%e ) - 2 + 2(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) + 2(%e ) - 12(%e ) +--R / +--R +-------------+ +--R x 4 x 2 | x 4 +---+ x 8 +---+ x 6 +--R (4(%e ) - 8(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) + 4\|- 2 (%e ) +--R + +--R +---+ x 4 +---+ x 2 +---+ +--R - 6\|- 2 (%e ) + 8\|- 2 (%e ) - 4\|- 2 +--R Type: Union(Expression Integer,...) +--E 324 + +--S 325 of 508 +m0363:= a0363-r0363 +--R +--R +--R (289) +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (10\|- 1 (%e ) - 20\|- 1 (%e ) + 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R - 5\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 (%e ) - 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R 20\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (2\|- 2 \|- 1 - 2)(%e ) + 2 +--R log(------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (- 4\|- 2 (%e ) + 8\|- 2 (%e ) - 4\|- 2 )\|- 2(%e ) - 2 - 4(%e ) +--R + +--R x 6 x 4 x 2 +--R 8(%e ) - 12(%e ) + 16(%e ) - 8 +--R * +--R +-------------+ +--R +---+ | x 4 x 2 +--R \|- 2 \|- 2(%e ) - 2 - 2(%e ) + 2 +--R log(------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 +--R (- 10\|- 1 (%e ) + 20\|- 1 (%e ) - 10\|- 1 )\|- 2(%e ) - 2 +--R + +--R +---+ +---+ x 8 +---+ +---+ x 6 +---+ +---+ x 4 +--R 5\|- 2 \|- 1 (%e ) - 10\|- 2 \|- 1 (%e ) + 15\|- 2 \|- 1 (%e ) +--R + +--R +---+ +---+ x 2 +---+ +---+ +--R - 20\|- 2 \|- 1 (%e ) + 10\|- 2 \|- 1 +--R * +--R +-------------+ +--R +---+ | x 4 +---+ +---+ x 2 +--R \|- 2 \|- 2(%e ) - 2 + (- 2\|- 2 \|- 1 - 2)(%e ) + 2 +--R log(--------------------------------------------------------) +--R +---+ x 2 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R +---+ x 4 +---+ x 2 +---+ | x 4 x 8 +--R (4\|- 2 (%e ) - 8\|- 2 (%e ) + 4\|- 2 )\|- 2(%e ) - 2 + 4(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) + 12(%e ) - 16(%e ) + 8 +--R * +--R log +--R +-------------+ +--R x 2 | x 4 +---+ x 4 +---+ x 2 +--R (2(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) - 2\|- 2 (%e ) +--R + +--R +---+ +--R - 4\|- 2 +--R / +--R +---+ x 4 +--R \|- 2 (%e ) +--R + +--R +-------------+ +--R x 4 x 2 | x 4 +---+ x 8 +--R (- 10(%e ) + 20(%e ) - 10)\|- 2(%e ) - 2 + 5\|- 2 (%e ) +--R + +--R +---+ x 6 +---+ x 4 +---+ x 2 +---+ +--R - 10\|- 2 (%e ) + 15\|- 2 (%e ) - 20\|- 2 (%e ) + 10\|- 2 +--R * +--R +--------------+ +--R | 2 +--R atan(tanh(x)\|- coth(x) - 1 ) +--R + +--R +-------------+ +--R +-+ x 4 +-+ x 2 +-+ | x 4 +--R (- 8\|2 (%e ) + 16\|2 (%e ) - 8\|2 )\|- 2(%e ) - 2 +--R + +--R +---+ +-+ x 8 +---+ +-+ x 6 +---+ +-+ x 4 +--R 4\|- 2 \|2 (%e ) - 8\|- 2 \|2 (%e ) + 12\|- 2 \|2 (%e ) +--R + +--R +---+ +-+ x 2 +---+ +-+ +--R - 16\|- 2 \|2 (%e ) + 8\|- 2 \|2 +--R * +--R +-+ +--R \|2 coth(x) +--R atan(-----------------) +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R + +--R +-------------+ +--R x 4 x 2 | x 4 +--R (- 2coth(x)(%e ) + 4coth(x)(%e ) - 2coth(x))\|- 2(%e ) - 2 +--R + +--R +---+ x 8 +---+ x 6 +---+ x 4 +--R \|- 2 coth(x)(%e ) - 2\|- 2 coth(x)(%e ) + 3\|- 2 coth(x)(%e ) +--R + +--R +---+ x 2 +---+ +--R - 4\|- 2 coth(x)(%e ) + 2\|- 2 coth(x) +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R + +--R +-------------+ +--R +---+ x 6 +---+ x 4 +---+ x 2 | x 4 x 8 +--R (- \|- 2 (%e ) + \|- 2 (%e ) - 6\|- 2 (%e ) )\|- 2(%e ) - 2 + 2(%e ) +--R + +--R x 6 x 4 x 2 +--R - 8(%e ) + 2(%e ) - 12(%e ) +--R / +--R +-------------+ +--R x 4 x 2 | x 4 +---+ x 8 +---+ x 6 +--R (4(%e ) - 8(%e ) + 4)\|- 2(%e ) - 2 - 2\|- 2 (%e ) + 4\|- 2 (%e ) +--R + +--R +---+ x 4 +---+ x 2 +---+ +--R - 6\|- 2 (%e ) + 8\|- 2 (%e ) - 4\|- 2 +--R Type: Expression Integer +--E 325 + +--S 326 of 508 +d0363:= D(m0363,x) +--R +--R +--R (290) +--R +---+ 2 +---+ x 16 +--R (28\|- 2 coth(x) + 28\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (252\|- 2 coth(x) + 252\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (672\|- 2 coth(x) + 672\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +---+ 2 +--R (704\|- 2 coth(x) + 704\|- 2 )(%e ) + 256\|- 2 coth(x) +--R + +--R +---+ +--R 256\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ x 16 +---+ x 12 +---+ x 8 +--R - 28\|- 2 (%e ) - 252\|- 2 (%e ) - 672\|- 2 (%e ) +--R + +--R +---+ x 4 +---+ +--R - 704\|- 2 (%e ) - 256\|- 2 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R 2 x 20 2 x 16 +--R (8coth(x) + 8)(%e ) + (208coth(x) + 208)(%e ) +--R + +--R 2 x 12 2 x 8 +--R (1032coth(x) + 1032)(%e ) + (1984coth(x) + 1984)(%e ) +--R + +--R 2 x 4 2 +--R (1664coth(x) + 1664)(%e ) + 512coth(x) + 512 +--R * +--R 2 +--R tanh(x) +--R + +--R x 20 x 16 x 12 x 8 x 4 +--R - 8(%e ) - 208(%e ) - 1032(%e ) - 1984(%e ) - 1664(%e ) - 512 +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R + +--R 6 4 2 x 18 +--R (- 2coth(x) - coth(x) - coth(x) - 2)(%e ) +--R + +--R 6 4 2 x 16 +--R (6coth(x) + 3coth(x) + 3coth(x) + 6)(%e ) +--R + +--R 6 4 2 x 14 +--R (- 54coth(x) - 27coth(x) - 27coth(x) - 54)(%e ) +--R + +--R 6 4 2 x 12 +--R (146coth(x) + 73coth(x) + 73coth(x) + 146)(%e ) +--R + +--R 6 4 2 x 10 +--R (- 304coth(x) - 152coth(x) - 152coth(x) - 304)(%e ) +--R + +--R 6 4 2 x 8 +--R (528coth(x) + 264coth(x) + 264coth(x) + 528)(%e ) +--R + +--R 6 4 2 x 6 +--R (- 608coth(x) - 304coth(x) - 304coth(x) - 608)(%e ) +--R + +--R 6 4 2 x 4 +--R (544coth(x) + 272coth(x) + 272coth(x) + 544)(%e ) +--R + +--R 6 4 2 x 2 +--R (- 384coth(x) - 192coth(x) - 192coth(x) - 384)(%e ) +--R + +--R 6 4 2 +--R 128coth(x) + 64coth(x) + 64coth(x) + 128 +--R * +--R 2 +--R tanh(x) +--R + +--R 3 x 18 3 x 16 +--R (5coth(x) - 5coth(x))(%e ) + (- 15coth(x) + 15coth(x))(%e ) +--R + +--R 3 x 14 +--R (135coth(x) - 135coth(x))(%e ) +--R + +--R 3 x 12 +--R (- 365coth(x) + 365coth(x))(%e ) +--R + +--R 3 x 10 +--R (760coth(x) - 760coth(x))(%e ) +--R + +--R 3 x 8 +--R (- 1320coth(x) + 1320coth(x))(%e ) +--R + +--R 3 x 6 +--R (1520coth(x) - 1520coth(x))(%e ) +--R + +--R 3 x 4 +--R (- 1360coth(x) + 1360coth(x))(%e ) +--R + +--R 3 x 2 3 +--R (960coth(x) - 960coth(x))(%e ) - 320coth(x) + 320coth(x) +--R * +--R tanh(x) +--R + +--R 4 2 x 18 +--R (2coth(x) - 6coth(x) + 2)(%e ) +--R + +--R 4 2 x 16 +--R (- 6coth(x) + 18coth(x) - 6)(%e ) +--R + +--R 4 2 x 14 +--R (54coth(x) - 162coth(x) + 54)(%e ) +--R + +--R 4 2 x 12 +--R (- 146coth(x) + 438coth(x) - 146)(%e ) +--R + +--R 4 2 x 10 +--R (304coth(x) - 912coth(x) + 304)(%e ) +--R + +--R 4 2 x 8 +--R (- 528coth(x) + 1584coth(x) - 528)(%e ) +--R + +--R 4 2 x 6 +--R (608coth(x) - 1824coth(x) + 608)(%e ) +--R + +--R 4 2 x 4 +--R (- 544coth(x) + 1632coth(x) - 544)(%e ) +--R + +--R 4 2 x 2 4 2 +--R (384coth(x) - 1152coth(x) + 384)(%e ) - 128coth(x) + 384coth(x) +--R + +--R - 128 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +---+ +--R (14\|- 2 coth(x) + 7\|- 2 coth(x) + 7\|- 2 coth(x) + 14\|- 2 ) +--R * +--R x 18 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R - 42\|- 2 coth(x) - 21\|- 2 coth(x) - 21\|- 2 coth(x) +--R + +--R +---+ +--R - 42\|- 2 +--R * +--R x 16 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R 154\|- 2 coth(x) + 77\|- 2 coth(x) + 77\|- 2 coth(x) +--R + +--R +---+ +--R 154\|- 2 +--R * +--R x 14 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R - 350\|- 2 coth(x) - 175\|- 2 coth(x) - 175\|- 2 coth(x) +--R + +--R +---+ +--R - 350\|- 2 +--R * +--R x 12 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R 560\|- 2 coth(x) + 280\|- 2 coth(x) + 280\|- 2 coth(x) +--R + +--R +---+ +--R 560\|- 2 +--R * +--R x 10 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R - 784\|- 2 coth(x) - 392\|- 2 coth(x) - 392\|- 2 coth(x) +--R + +--R +---+ +--R - 784\|- 2 +--R * +--R x 8 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R 800\|- 2 coth(x) + 400\|- 2 coth(x) + 400\|- 2 coth(x) +--R + +--R +---+ +--R 800\|- 2 +--R * +--R x 6 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R - 608\|- 2 coth(x) - 304\|- 2 coth(x) - 304\|- 2 coth(x) +--R + +--R +---+ +--R - 608\|- 2 +--R * +--R x 4 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R 384\|- 2 coth(x) + 192\|- 2 coth(x) + 192\|- 2 coth(x) +--R + +--R +---+ +--R 384\|- 2 +--R * +--R x 2 +--R (%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +---+ +--R - 128\|- 2 coth(x) - 64\|- 2 coth(x) - 64\|- 2 coth(x) - 128\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ 3 +---+ x 18 +--R (- 35\|- 2 coth(x) + 35\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 16 +--R (105\|- 2 coth(x) - 105\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 14 +--R (- 385\|- 2 coth(x) + 385\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 12 +--R (875\|- 2 coth(x) - 875\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 10 +--R (- 1400\|- 2 coth(x) + 1400\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 8 +--R (1960\|- 2 coth(x) - 1960\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 6 +--R (- 2000\|- 2 coth(x) + 2000\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 4 +--R (1520\|- 2 coth(x) - 1520\|- 2 coth(x))(%e ) +--R + +--R +---+ 3 +---+ x 2 +---+ 3 +--R (- 960\|- 2 coth(x) + 960\|- 2 coth(x))(%e ) + 320\|- 2 coth(x) +--R + +--R +---+ +--R - 320\|- 2 coth(x) +--R * +--R tanh(x) +--R + +--R +---+ 4 +---+ 2 +---+ x 18 +--R (- 14\|- 2 coth(x) + 42\|- 2 coth(x) - 14\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 16 +--R (42\|- 2 coth(x) - 126\|- 2 coth(x) + 42\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 14 +--R (- 154\|- 2 coth(x) + 462\|- 2 coth(x) - 154\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 12 +--R (350\|- 2 coth(x) - 1050\|- 2 coth(x) + 350\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 10 +--R (- 560\|- 2 coth(x) + 1680\|- 2 coth(x) - 560\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 8 +--R (784\|- 2 coth(x) - 2352\|- 2 coth(x) + 784\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 6 +--R (- 800\|- 2 coth(x) + 2400\|- 2 coth(x) - 800\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 4 +--R (608\|- 2 coth(x) - 1824\|- 2 coth(x) + 608\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ x 2 +--R (- 384\|- 2 coth(x) + 1152\|- 2 coth(x) - 384\|- 2 )(%e ) +--R + +--R +---+ 4 +---+ 2 +---+ +--R 128\|- 2 coth(x) - 384\|- 2 coth(x) + 128\|- 2 +--R / +--R 2 x 18 2 x 16 +--R (2coth(x) + 2)(%e ) + (- 6coth(x) - 6)(%e ) +--R + +--R 2 x 14 2 x 12 +--R (54coth(x) + 54)(%e ) + (- 146coth(x) - 146)(%e ) +--R + +--R 2 x 10 2 x 8 +--R (304coth(x) + 304)(%e ) + (- 528coth(x) - 528)(%e ) +--R + +--R 2 x 6 2 x 4 +--R (608coth(x) + 608)(%e ) + (- 544coth(x) - 544)(%e ) +--R + +--R 2 x 2 2 +--R (384coth(x) + 384)(%e ) - 128coth(x) - 128 +--R * +--R 2 +--R tanh(x) +--R + +--R x 18 x 16 x 14 x 12 x 10 +--R - 2(%e ) + 6(%e ) - 54(%e ) + 146(%e ) - 304(%e ) +--R + +--R x 8 x 6 x 4 x 2 +--R 528(%e ) - 608(%e ) + 544(%e ) - 384(%e ) + 128 +--R * +--R +-------------+ +--R | x 4 +--R \|- 2(%e ) - 2 +--R + +--R +---+ 2 +---+ x 18 +--R (- 14\|- 2 coth(x) - 14\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 16 +--R (42\|- 2 coth(x) + 42\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 14 +--R (- 154\|- 2 coth(x) - 154\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 12 +--R (350\|- 2 coth(x) + 350\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 10 +--R (- 560\|- 2 coth(x) - 560\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 8 +--R (784\|- 2 coth(x) + 784\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 6 +--R (- 800\|- 2 coth(x) - 800\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 4 +--R (608\|- 2 coth(x) + 608\|- 2 )(%e ) +--R + +--R +---+ 2 +---+ x 2 +---+ 2 +--R (- 384\|- 2 coth(x) - 384\|- 2 )(%e ) + 128\|- 2 coth(x) +--R + +--R +---+ +--R 128\|- 2 +--R * +--R 2 +--R tanh(x) +--R + +--R +---+ x 18 +---+ x 16 +---+ x 14 +---+ x 12 +--R 14\|- 2 (%e ) - 42\|- 2 (%e ) + 154\|- 2 (%e ) - 350\|- 2 (%e ) +--R + +--R +---+ x 10 +---+ x 8 +---+ x 6 +---+ x 4 +--R 560\|- 2 (%e ) - 784\|- 2 (%e ) + 800\|- 2 (%e ) - 608\|- 2 (%e ) +--R + +--R +---+ x 2 +---+ +--R 384\|- 2 (%e ) - 128\|- 2 +--R * +--R +--------------+ +--R | 2 +--R \|- coth(x) - 1 +--R Type: Expression Integer +--E 326 + +--S 327 of 508 +t0364:= (a+b*coth(x)^2)^(3/2) +--R +--R +--R +--------------+ +--R 2 | 2 +--R (291) (b coth(x) + a)\|b coth(x) + a +--R Type: Expression Integer +--E 327 + +--S 328 of 508 +r0364:= (a+b)^(3/2)*atanh((a+b)^(1/2)*coth(x)/(a+b*coth(x)^2)^(1/2))-3/2*a*b^(1/2)*atanh((a+b*coth(x)^2)^(1/2)*tanh(x)/b^(1/2))-b^(3/2)*atanh((a+b*coth(x)^2)^(1/2)*tanh(x)/b^(1/2))-1/2*b*coth(x)*(a+b*coth(x)^2)^(1/2) +--R +--R +--R (292) +--R +--------------+ +--R | 2 +--R +-+ tanh(x)\|b coth(x) + a +--R (- 2b - 3a)\|b atanh(------------------------) +--R +-+ +--R \|b +--R + +--R +-----+ +--------------+ +--R +-----+ coth(x)\|b + a | 2 +--R (2b + 2a)\|b + a atanh(-----------------) - b coth(x)\|b coth(x) + a +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R / +--R 2 +--R Type: Expression Integer +--E 328 + +--S 329 of 508 +a0364:= integrate(t0364,x) +--R +--R +--R (293) +--R [ +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) - b - 5a b - 7a b +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (24a b + 24a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (2b - 8a b - 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) - b +--R + +--R 2 2 3 +--R - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) - 2b + 3a b + 9a )sinh(x) +--R + +--R 2 2 3 +--R (40b + 20a b - 60a )cosh(x) +--R + +--R 2 2 +--R (- 8b + 12a b + 36a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (30b + 15a b - 45a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 12b + 18a b + 54a )cosh(x) - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (12b + 6a b - 18a )cosh(x) +--R + +--R 2 2 3 +--R (- 8b + 12a b + 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (- 2b + 3a b + 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) + 2b + 5a b + 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 2b - 3a b - 2a b - 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R ((- 56b - 84a b - 56a b - 84a )cosh(x) + 8a b + 12a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 140b - 210a b - 140a b - 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) + 4b + 2a b - 18a b - 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 3 +--R (160a b + 240a )cosh(x) +--R + +--R 3 2 2 3 +--R (16b + 8a b - 72a b - 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 56b - 84a b - 56a b - 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (24b + 12a b - 108a b - 108a )cosh(x) + 8a b + 20a b +--R + +--R 3 +--R 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (16b + 8a b - 72a b - 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 2b - 3a b - 2a b - 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (4b + 2a b - 18a b - 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) - 2b - 7a b - 8a b - 3a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 3 +--R 2a sinh(x) + 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 +--R (8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) +--R + +--R 4 2 +--R 2a cosh(x) + (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (4a b + 4a )cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (2a b + 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (b - 2a b - a )sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b - 30a b - 15a )cosh(x) + b + 2a b + 3a )sinh(x) +--R + +--R 2 2 3 +--R (20b - 40a b - 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (15b - 30a b - 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) + b - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (4b + 8a b + 12a )cosh(x) + (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b - 2a b - a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) + 2b - 2a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (8b - 8a b - 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (30a b + 30a )cosh(x) + (12b - 12a b - 24a )cosh(x) +--R + +--R 2 2 +--R 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (8b - 8a b - 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (2b - 2a b - 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (2a b + 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (- b - a )sinh(x) + (- 6b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 15b - 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 20b - 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 15b - 15a )cosh(x) + (- 6b + 18a )cosh(x) + b +--R + +--R 2 +--R - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 6b - 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b - a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (6b - 6a b - 30a b - 18a )cosh(x) + b + 5a b + 7a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 24a b - 24a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R + +--R 2 2 3 +--R (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 2b + 8a b + 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R b + 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (- 2b sinh(x) - 4b cosh(x)sinh(x) - 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) + 4b - 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (8b - 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (4b - 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R 2a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) + 4b + 6a b +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) - 4b + 2a b - 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 +--R 140a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) - 8b +--R + +--R 2 2 +--R 4a b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (- 80b + 40a b - 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) - 4b - 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b + 16a b + 24a b)cosh(x) +--R + +--R 3 2 2 +--R (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (- 4b + 2a b - 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) - 2b + 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (- 8b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (- 12b + 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R (12b - 12a)cosh(x) + (- 8b + 24a)cosh(x) +--R + +--R (- 4b - 12a)cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (- 2b + 6a)cosh(x) + (- 2b - 6a)cosh(x) + 2b +--R + +--R 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (- 2b - 2a )sinh(x) + (- 16b - 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 56b - 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((- 112b - 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((- 140b - 140a )cosh(x) + 120a cosh(x) + 4b - 4a b - 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (- 112b - 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (16b - 16a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (- 56b - 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (24b - 24a b - 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (- 16b - 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (16b - 16a b - 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (- 2b - 2a )cosh(x) + 8a cosh(x) + (4b - 4a b - 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) - 2b - 4a b - 2a +--R , +--R +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) - b - 5a b - 7a b +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (24a b + 24a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (2b - 8a b - 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) - b +--R + +--R 2 2 3 +--R - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (6b - 6a b - 30a b - 18a )cosh(x) + b + 5a b + 7a b +--R + +--R 3 +--R 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 24a b - 24a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R + +--R 2 2 3 +--R (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 2b + 8a b + 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R b + 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (- 2b sinh(x) - 4b cosh(x)sinh(x) - 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) + 4b - 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (8b - 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (4b - 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 +--R (- 4b - 2a b + 6a )sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 60b - 30a b + 90a )cosh(x) + 4b - 6a b - 18a )sinh(x) +--R + +--R 2 2 3 +--R (- 80b - 40a b + 120a )cosh(x) +--R + +--R 2 2 +--R (16b - 24a b - 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 60b - 30a b + 90a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (24b - 36a b - 108a )cosh(x) + 4b + 18a b + 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (16b - 24a b - 72a )cosh(x) + (8b + 36a b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 4b - 2a b + 6a )cosh(x) + (4b - 6a b - 18a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (4b + 18a b + 18a )cosh(x) - 4b - 10a b - 6a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +---+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|- b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (4b + 6a b + 4a b + 6a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (32b + 48a b + 32a b + 48a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R ((112b + 168a b + 112a b + 168a )cosh(x) - 16a b - 24a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (224b + 336a b + 224a b + 336a )cosh(x) +--R + +--R 2 3 +--R (- 96a b - 144a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (280b + 420a b + 280a b + 420a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 240a b - 360a )cosh(x) - 8b - 4a b + 36a b + 36a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (224b + 336a b + 224a b + 336a )cosh(x) +--R + +--R 2 3 3 +--R (- 320a b - 480a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b - 16a b + 144a b + 144a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 4 +--R (- 240a b - 360a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (- 48b - 24a b + 216a b + 216a )cosh(x) - 16a b - 40a b +--R + +--R 3 +--R - 24a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (32b + 48a b + 32a b + 48a )cosh(x) +--R + +--R 2 3 5 +--R (- 96a b - 144a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 32b - 16a b + 144a b + 144a )cosh(x) +--R + +--R 2 2 3 +--R (- 32a b - 80a b - 48a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (4b + 6a b + 4a b + 6a )cosh(x) + (- 16a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 8b - 4a b + 36a b + 36a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (- 16a b - 40a b - 24a )cosh(x) + 4b + 14a b + 16a b + 6a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) +--R + +--R - b - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R + +--R 2 6 2 5 +--R 2a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) + 4b + 6a b +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) - 4b + 2a b - 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 +--R 140a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) - 8b +--R + +--R 2 2 +--R 4a b + 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (- 80b + 40a b - 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) - 4b - 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b + 16a b + 24a b)cosh(x) +--R + +--R 3 2 2 +--R (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (- 4b + 2a b - 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) - 2b + 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (- 8b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (- 12b + 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R (12b - 12a)cosh(x) + (- 8b + 24a)cosh(x) +--R + +--R (- 4b - 12a)cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (- 2b + 6a)cosh(x) + (- 2b - 6a)cosh(x) + 2b +--R + +--R 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (- 2b - 2a )sinh(x) + (- 16b - 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 56b - 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((- 112b - 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((- 140b - 140a )cosh(x) + 120a cosh(x) + 4b - 4a b - 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (- 112b - 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (16b - 16a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (- 56b - 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (24b - 24a b - 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (- 16b - 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (16b - 16a b - 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (- 2b - 2a )cosh(x) + 8a cosh(x) + (4b - 4a b - 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) - 2b - 4a b - 2a +--R ] +--R Type: Union(List Expression Integer,...) +--E 329 + +--S 330 of 508 +m0364a:= a0364.1-r0364 +--R +--R +--R (294) +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) - b - 5a b - 7a b +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (8b - 32a b - 24a )cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (2b - 8a b - 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) - b +--R + +--R 2 2 3 +--R - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b +--R + +--R - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) - 2b + 3a b + 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (- 8b + 12a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (30b + 15a b - 45a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 12b + 18a b + 54a )cosh(x) - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (- 8b + 12a b + 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (- 2b + 3a b + 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) + 2b + 5a b + 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 2b - 3a b - 2a b - 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 56b - 84a b - 56a b - 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 140b - 210a b - 140a b - 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) + 4b + 2a b - 18a b - 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 3 3 2 2 3 +--R (160a b + 240a )cosh(x) + (16b + 8a b - 72a b - 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 56b - 84a b - 56a b - 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 3 +--R (24b + 12a b - 108a b - 108a )cosh(x) + 8a b + 20a b + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (16b + 8a b - 72a b - 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 2b - 3a b - 2a b - 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (4b + 2a b - 18a b - 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) - 2b - 7a b - 8a b - 3a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 3 +--R 2a sinh(x) + 8a cosh(x)sinh(x) +--R + +--R 2 2 +--R (12a cosh(x) - 2b - 2a)sinh(x) +--R + +--R 3 4 +--R (8a cosh(x) + (- 4b - 4a)cosh(x))sinh(x) + 2a cosh(x) +--R + +--R 2 +--R (- 2b - 2a)cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R + +--R 2 2 4 +--R (- b - 2a b - a )sinh(x) +--R + +--R 2 2 3 +--R (- 4b - 8a b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b - 8a b - 4a )cosh(x) + (4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 +--R (- b - 2a b - a )cosh(x) + (2a b + 2a )cosh(x) - b +--R + +--R 2 +--R - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 +--R (b - 2a b - a )sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((15b - 30a b - 15a )cosh(x) + b + 2a b + 3a )sinh(x) +--R + +--R 2 2 3 +--R (20b - 40a b - 20a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (15b - 30a b - 15a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (6b + 12a b + 18a )cosh(x) + b - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (6b - 12a b - 6a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (4b + 8a b + 12a )cosh(x) + (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (b - 2a b - a )cosh(x) + (b + 2a b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 6 2 5 +--R (2a b + 2a )sinh(x) + (12a b + 12a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((30a b + 30a )cosh(x) + 2b - 2a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((40a b + 40a )cosh(x) + (8b - 8a b - 16a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (30a b + 30a )cosh(x) + (12b - 12a b - 24a )cosh(x) +--R + +--R 2 2 +--R 2b + 4a b + 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12a b + 12a )cosh(x) + (8b - 8a b - 16a )cosh(x) +--R + +--R 2 2 +--R (4b + 8a b + 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (2a b + 2a )cosh(x) + (2b - 2a b - 4a )cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b + 2a )cosh(x) +--R * +--R +-+ +--R \|b +--R / +--R 2 2 4 2 2 3 +--R (b - a )sinh(x) + (4b - 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a )cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 2 3 2 +--R ((4b - 4a )cosh(x) + (4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (b - a )cosh(x) + (2a b + 2a )cosh(x) - b - 2a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 6 2 2 5 +--R (- b - a )sinh(x) + (- 6b - 6a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 15b - 15a )cosh(x) - b + 3a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 20b - 20a )cosh(x) + (- 4b + 12a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 15b - 15a )cosh(x) + (- 6b + 18a )cosh(x) + b +--R + +--R 2 +--R - 2a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (- 6b - 6a )cosh(x) + (- 4b + 12a )cosh(x) +--R + +--R 2 2 +--R (2b - 4a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- b - a )cosh(x) + (- b + 3a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (b - 2a b - 3a )cosh(x) + b + 2a b + a +--R * +--R +-----+ +--R \|b + a +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (6b - 6a b - 30a b - 18a )cosh(x) + b + 5a b + 7a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (8b + 8a b + 8a b + 8a )cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (- 8b + 32a b + 24a )cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 2b + 8a b + 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R b + 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (- 2b sinh(x) - 4b cosh(x)sinh(x) - 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) + 4b - 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (8b - 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (4b - 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) - 2b + 3a b + 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (- 8b + 12a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (30b + 15a b - 45a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 12b + 18a b + 54a )cosh(x) - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (- 8b + 12a b + 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (- 2b + 3a b + 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) + 2b + 5a b + 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 2b - 3a b - 2a b - 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 56b - 84a b - 56a b - 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 140b - 210a b - 140a b - 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) + 4b + 2a b - 18a b - 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 3 3 2 2 3 +--R (160a b + 240a )cosh(x) + (16b + 8a b - 72a b - 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 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(- 30b - 30a b + 30a b + 30a )cosh(x) + 2b - 2a b +--R + +--R 2 3 +--R - 10a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 40b - 40a b + 40a b + 40a )cosh(x) +--R + +--R 3 2 2 3 +--R (8b - 8a b - 40a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (12b - 12a b - 60a b - 36a )cosh(x) + 2b + 10a b + 14a b +--R + +--R 3 +--R 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (8b - 8a b - 40a b - 24a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 20a b + 28a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (2b - 2a b - 10a b - 6a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) - 2b - 6a b - 6a b - 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (2b + 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 16a b + 16a b + 16a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((56b + 56a b + 56a b + 56a )cosh(x) - 8a b - 8a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (112b + 112a b + 112a b + 112a )cosh(x) +--R + +--R 2 3 +--R (- 48a b - 48a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (140b + 140a b + 140a b + 140a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 120a b - 120a )cosh(x) - 4b + 16a b + 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (112b + 112a b + 112a b + 112a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 160a b - 160a )cosh(x) + (- 16b + 64a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 120a b - 120a )cosh(x) + (- 24b + 96a b + 72a )cosh(x) +--R + +--R 2 2 3 +--R - 8a b - 16a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 16a b + 16a b + 16a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 48a b - 48a )cosh(x) + (- 16b + 64a b + 48a )cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 32a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (2b + 2a b + 2a b + 2a )cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 4b + 16a b + 12a )cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 3 2 2 3 +--R 2b + 6a b + 6a b + 2a +--R * +--R +-----+ +--R \|b + a +--R * +--R +-----+ +--R coth(x)\|b + a +--R atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R 2 6 2 5 +--R (b - a b)coth(x)sinh(x) + (6b - 6a b)cosh(x)coth(x)sinh(x) +--R + +--R 2 2 2 4 +--R ((15b - 15a b)cosh(x) - b + 3a b)coth(x)sinh(x) +--R + +--R 2 3 2 3 +--R ((20b - 20a b)cosh(x) + (- 4b + 12a b)cosh(x))coth(x)sinh(x) +--R + +--R 2 4 2 2 2 +--R ((15b - 15a b)cosh(x) + (- 6b + 18a b)cosh(x) - b - 3a b) +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 2 5 2 3 +--R (6b - 6a b)cosh(x) + (- 4b + 12a b)cosh(x) +--R + +--R 2 +--R (- 2b - 6a b)cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 2 6 2 4 +--R (b - a b)cosh(x) + (- b + 3a b)cosh(x) +--R + +--R 2 2 2 +--R (- b - 3a b)cosh(x) + b + a b +--R * +--R coth(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 8 3 2 7 +--R (- b - a b)coth(x)sinh(x) + (- 8b - 8a b)cosh(x)coth(x)sinh(x) +--R + +--R 3 2 2 2 6 +--R ((- 28b - 28a b)cosh(x) + 4a b)coth(x)sinh(x) +--R + +--R 3 2 3 2 5 +--R ((- 56b - 56a b)cosh(x) + 24a b cosh(x))coth(x)sinh(x) +--R + +--R 3 2 4 2 2 3 2 2 +--R ((- 70b - 70a b)cosh(x) + 60a b cosh(x) + 2b - 2a b - 6a b) +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 3 2 5 2 3 +--R (- 56b - 56a b)cosh(x) + 80a b cosh(x) +--R + +--R 3 2 2 +--R (8b - 8a b - 24a b)cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 3 2 6 2 4 +--R (- 28b - 28a b)cosh(x) + 60a b cosh(x) +--R + +--R 3 2 2 2 2 2 +--R (12b - 12a b - 36a b)cosh(x) + 4a b + 4a b +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 3 2 7 2 5 +--R (- 8b - 8a b)cosh(x) + 24a b cosh(x) +--R + +--R 3 2 2 3 2 2 +--R (8b - 8a b - 24a b)cosh(x) + (8a b + 8a b)cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 3 2 8 2 6 +--R (- b - a b)cosh(x) + 4a b cosh(x) +--R + +--R 3 2 2 4 2 2 2 3 +--R (2b - 2a b - 6a b)cosh(x) + (4a b + 4a b)cosh(x) - b +--R + +--R 2 2 +--R - 2a b - a b +--R * +--R coth(x) +--R * +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R 2 6 2 5 +--R 2a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) + 4b + 6a b +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) - 4b + 2a b - 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 140a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) - 8b + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (- 80b + 40a b - 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) - 4b - 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) + (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (- 4b + 2a b - 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) - 2b + 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (- 8b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (- 12b + 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R ((12b - 12a)cosh(x) + (- 8b + 24a)cosh(x) + (- 4b - 12a)cosh(x)) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (- 2b + 6a)cosh(x) + (- 2b - 6a)cosh(x) + 2b + 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (- 2b - 2a )sinh(x) + (- 16b - 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 56b - 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((- 112b - 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((- 140b - 140a )cosh(x) + 120a cosh(x) + 4b - 4a b - 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (- 112b - 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (16b - 16a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (- 56b - 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (24b - 24a b - 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (- 16b - 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (16b - 16a b - 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (- 2b - 2a )cosh(x) + 8a cosh(x) + (4b - 4a b - 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) - 2b - 4a b - 2a +--R Type: Expression Integer +--E 330 + +--S 331 of 508 +--d0364a:= D(m0364a,x) +--E 331 + +--S 332 of 508 +m0364b:= a0364.2-r0364 +--R +--R +--R (295) +--R 3 2 2 3 6 +--R (b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (15b + 15a b - 15a b - 15a )cosh(x) - b + a b + 5a b +--R + +--R 3 +--R 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20b + 20a b - 20a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15b + 15a b - 15a b - 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 6b + 6a b + 30a b + 18a )cosh(x) - b - 5a b - 7a b +--R + +--R 3 +--R - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6b + 6a b - 6a b - 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 4b + 4a b + 20a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 10a b - 14a b - 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (b + a b - a b - a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- b + a b + 5a b + 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- b - 5a b - 7a b - 3a )cosh(x) + b + 3a b + 3a b + a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- b - a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 8b - 8a b - 8a b - 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 28b - 28a b - 28a b - 28a )cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 +--R (24a b + 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 70b - 70a b - 70a b - 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (60a b + 60a )cosh(x) + 2b - 8a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 56b - 56a b - 56a b - 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (80a b + 80a )cosh(x) + (8b - 32a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 28b - 28a b - 28a b - 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (60a b + 60a )cosh(x) + (12b - 48a b - 36a )cosh(x) +--R + +--R 2 2 3 +--R 4a b + 8a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (- 8b - 8a b - 8a b - 8a )cosh(x) + (24a b + 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (8b - 32a b - 24a )cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- b - a b - a b - a )cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 3 +--R (2b - 8a b - 6a )cosh(x) + (4a b + 8a b + 4a )cosh(x) - b +--R + +--R 2 2 3 +--R - 3a b - 3a b - a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b +--R + +--R - a +--R / +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|b + a +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) + b - a b - 5a b +--R + +--R 3 +--R - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 20b - 20a b + 20a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 15b - 15a b + 15a b + 15a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (6b - 6a b - 30a b - 18a )cosh(x) + b + 5a b + 7a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6b - 6a b + 6a b + 6a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (4b - 4a b - 20a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- b - a b + a b + a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (b - a b - 5a b - 3a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 5a b + 7a b + 3a )cosh(x) - b - 3a b - 3a b - a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (b + a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (8b + 8a b + 8a b + 8a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((28b + 28a b + 28a b + 28a )cosh(x) - 4a b - 4a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 +--R (- 24a b - 24a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (70b + 70a b + 70a b + 70a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 60a b - 60a )cosh(x) - 2b + 8a b + 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 80a b - 80a )cosh(x) + (- 8b + 32a b + 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (28b + 28a b + 28a b + 28a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 60a b - 60a )cosh(x) + (- 12b + 48a b + 36a )cosh(x) +--R + +--R 2 2 3 +--R - 4a b - 8a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 2 3 5 +--R (8b + 8a b + 8a b + 8a )cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 3 2 3 3 2 2 3 +--R (- 8b + 32a b + 24a )cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (b + a b + a b + a )cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 2b + 8a b + 6a )cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 3 2 2 3 +--R b + 3a b + 3a b + a +--R * +--R +-----+ +--R \|b + a +--R * +--R log +--R 2 2 +--R (- 2b sinh(x) - 4b cosh(x)sinh(x) - 2b cosh(x) - 2b - 2a) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 4 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 +--R (12b cosh(x) + 4b - 2a)sinh(x) +--R + +--R 3 4 +--R (8b cosh(x) + (8b - 4a)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 +--R (4b - 2a)cosh(x) + 2b + 2a +--R * +--R +-----+ +--R \|b + a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) +--R * +--R +-----+ +--R \|b + a +--R + +--R 2 2 6 2 2 5 +--R (2b + a b - 3a )sinh(x) + (12b + 6a b - 18a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((30b + 15a b - 45a )cosh(x) - 2b + 3a b + 9a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((40b + 20a b - 60a )cosh(x) + (- 8b + 12a b + 36a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (30b + 15a b - 45a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 12b + 18a b + 54a )cosh(x) - 2b - 9a b - 9a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (12b + 6a b - 18a )cosh(x) + (- 8b + 12a b + 36a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 18a b - 18a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (2b + a b - 3a )cosh(x) + (- 2b + 3a b + 9a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - 9a b - 9a )cosh(x) + 2b + 5a b + 3a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 2b - 3a b - 2a b - 3a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((- 56b - 84a b - 56a b - 84a )cosh(x) + 8a b + 12a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 +--R (48a b + 72a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 140b - 210a b - 140a b - 210a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (120a b + 180a )cosh(x) + 4b + 2a b - 18a b - 18a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 112b - 168a b - 112a b - 168a )cosh(x) +--R + +--R 2 3 3 3 2 2 3 +--R (160a b + 240a )cosh(x) + (16b + 8a b - 72a b - 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 56b - 84a b - 56a b - 84a )cosh(x) +--R + +--R 2 3 4 +--R (120a b + 180a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 3 +--R (24b + 12a b - 108a b - 108a )cosh(x) + 8a b + 20a b + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (- 16b - 24a b - 16a b - 24a )cosh(x) +--R + +--R 2 3 5 +--R (48a b + 72a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (16b + 8a b - 72a b - 72a )cosh(x) +--R + +--R 2 2 3 +--R (16a b + 40a b + 24a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (- 2b - 3a b - 2a b - 3a )cosh(x) + (8a b + 12a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (4b + 2a b - 18a b - 18a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (8a b + 20a b + 12a )cosh(x) - 2b - 7a b - 8a b - 3a +--R * +--R +-+ +--R \|b +--R * +--R +--------------+ +--R | 2 +--R tanh(x)\|b coth(x) + a +--R atanh(------------------------) +--R +-+ +--R \|b +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) + 2b - 2a b +--R + +--R 2 3 +--R - 10a b - 6a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 40b - 40a b + 40a b + 40a )cosh(x) +--R + +--R 3 2 2 3 +--R (8b - 8a b - 40a b - 24a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 30b - 30a b + 30a b + 30a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (12b - 12a b - 60a b - 36a )cosh(x) + 2b + 10a b + 14a b +--R + +--R 3 +--R 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 12b - 12a b + 12a b + 12a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (8b - 8a b - 40a b - 24a )cosh(x) +--R + +--R 3 2 2 3 +--R (4b + 20a b + 28a b + 12a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (- 2b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (2b - 2a b - 10a b - 6a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (2b + 10a b + 14a b + 6a )cosh(x) - 2b - 6a b - 6a b - 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (2b + 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 16a b + 16a b + 16a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 6 +--R ((56b + 56a b + 56a b + 56a )cosh(x) - 8a b - 8a )sinh(x) +--R + +--R 3 2 2 3 3 +--R (112b + 112a b + 112a b + 112a )cosh(x) +--R + +--R 2 3 +--R (- 48a b - 48a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (140b + 140a b + 140a b + 140a )cosh(x) +--R + +--R 2 3 2 3 2 3 +--R (- 120a b - 120a )cosh(x) - 4b + 16a b + 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (112b + 112a b + 112a b + 112a )cosh(x) +--R + +--R 2 3 3 3 2 3 +--R (- 160a b - 160a )cosh(x) + (- 16b + 64a b + 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (56b + 56a b + 56a b + 56a )cosh(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 120a b - 120a )cosh(x) + (- 24b + 96a b + 72a )cosh(x) +--R + +--R 2 2 3 +--R - 8a b - 16a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (16b + 16a b + 16a b + 16a )cosh(x) +--R + +--R 2 3 5 3 2 3 3 +--R (- 48a b - 48a )cosh(x) + (- 16b + 64a b + 48a )cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 32a b - 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (2b + 2a b + 2a b + 2a )cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 3 2 3 4 2 2 3 2 +--R (- 4b + 16a b + 12a )cosh(x) + (- 8a b - 16a b - 8a )cosh(x) +--R + +--R 3 2 2 3 +--R 2b + 6a b + 6a b + 2a +--R * +--R +-----+ +--R \|b + a +--R * +--R +-----+ +--R coth(x)\|b + a +--R atanh(-----------------) +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R 2 2 6 +--R (- 4b - 2a b + 6a )sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((- 60b - 30a b + 90a )cosh(x) + 4b - 6a b - 18a )sinh(x) +--R + +--R 2 2 3 +--R (- 80b - 40a b + 120a )cosh(x) +--R + +--R 2 2 +--R (16b - 24a b - 72a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 +--R (- 60b - 30a b + 90a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (24b - 36a b - 108a )cosh(x) + 4b + 18a b + 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (- 24b - 12a b + 36a )cosh(x) +--R + +--R 2 2 3 2 2 +--R (16b - 24a b - 72a )cosh(x) + (8b + 36a b + 36a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 4b - 2a b + 6a )cosh(x) + (4b - 6a b - 18a )cosh(x) +--R + +--R 2 2 2 2 2 +--R (4b + 18a b + 18a )cosh(x) - 4b - 10a b - 6a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +---+ +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|- b \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 2 3 8 +--R (4b + 6a b + 4a b + 6a )sinh(x) +--R + +--R 3 2 2 3 7 +--R (32b + 48a b + 32a b + 48a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R ((112b + 168a b + 112a b + 168a )cosh(x) - 16a b - 24a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (224b + 336a b + 224a b + 336a )cosh(x) +--R + +--R 2 3 +--R (- 96a b - 144a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (280b + 420a b + 280a b + 420a )cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 240a b - 360a )cosh(x) - 8b - 4a b + 36a b + 36a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (224b + 336a b + 224a b + 336a )cosh(x) +--R + +--R 2 3 3 +--R (- 320a b - 480a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b - 16a b + 144a b + 144a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (112b + 168a b + 112a b + 168a )cosh(x) +--R + +--R 2 3 4 +--R (- 240a b - 360a )cosh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (- 48b - 24a b + 216a b + 216a )cosh(x) - 16a b - 40a b +--R + +--R 3 +--R - 24a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 7 +--R (32b + 48a b + 32a b + 48a )cosh(x) +--R + +--R 2 3 5 +--R (- 96a b - 144a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 32b - 16a b + 144a b + 144a )cosh(x) +--R + +--R 2 2 3 +--R (- 32a b - 80a b - 48a )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 8 2 3 6 +--R (4b + 6a b + 4a b + 6a )cosh(x) + (- 16a b - 24a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 8b - 4a b + 36a b + 36a )cosh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R (- 16a b - 40a b - 24a )cosh(x) + 4b + 14a b + 16a b + 6a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 +--R (b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b +--R + +--R - a +--R / +--R 2 2 +---+ +-----+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) )\|- b \|b + a +--R + +--R 2 6 2 5 +--R (b - a b)coth(x)sinh(x) + (6b - 6a b)cosh(x)coth(x)sinh(x) +--R + +--R 2 2 2 4 +--R ((15b - 15a b)cosh(x) - b + 3a b)coth(x)sinh(x) +--R + +--R 2 3 2 3 +--R ((20b - 20a b)cosh(x) + (- 4b + 12a b)cosh(x))coth(x)sinh(x) +--R + +--R 2 4 2 2 2 +--R ((15b - 15a b)cosh(x) + (- 6b + 18a b)cosh(x) - b - 3a b) +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 2 5 2 3 +--R (6b - 6a b)cosh(x) + (- 4b + 12a b)cosh(x) +--R + +--R 2 +--R (- 2b - 6a b)cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 2 6 2 4 +--R (b - a b)cosh(x) + (- b + 3a b)cosh(x) +--R + +--R 2 2 2 +--R (- b - 3a b)cosh(x) + b + a b +--R * +--R coth(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 3 2 8 3 2 7 +--R (- b - a b)coth(x)sinh(x) + (- 8b - 8a b)cosh(x)coth(x)sinh(x) +--R + +--R 3 2 2 2 6 +--R ((- 28b - 28a b)cosh(x) + 4a b)coth(x)sinh(x) +--R + +--R 3 2 3 2 5 +--R ((- 56b - 56a b)cosh(x) + 24a b cosh(x))coth(x)sinh(x) +--R + +--R 3 2 4 2 2 3 2 2 +--R ((- 70b - 70a b)cosh(x) + 60a b cosh(x) + 2b - 2a b - 6a b) +--R * +--R 4 +--R coth(x)sinh(x) +--R + +--R 3 2 5 2 3 +--R (- 56b - 56a b)cosh(x) + 80a b cosh(x) +--R + +--R 3 2 2 +--R (8b - 8a b - 24a b)cosh(x) +--R * +--R 3 +--R coth(x)sinh(x) +--R + +--R 3 2 6 2 4 +--R (- 28b - 28a b)cosh(x) + 60a b cosh(x) +--R + +--R 3 2 2 2 2 2 +--R (12b - 12a b - 36a b)cosh(x) + 4a b + 4a b +--R * +--R 2 +--R coth(x)sinh(x) +--R + +--R 3 2 7 2 5 +--R (- 8b - 8a b)cosh(x) + 24a b cosh(x) +--R + +--R 3 2 2 3 2 2 +--R (8b - 8a b - 24a b)cosh(x) + (8a b + 8a b)cosh(x) +--R * +--R coth(x)sinh(x) +--R + +--R 3 2 8 2 6 +--R (- b - a b)cosh(x) + 4a b cosh(x) +--R + +--R 3 2 2 4 2 2 2 3 +--R (2b - 2a b - 6a b)cosh(x) + (4a b + 4a b)cosh(x) - b +--R + +--R 2 2 +--R - 2a b - a b +--R * +--R coth(x) +--R * +--R +--------------+ +--R | 2 +--R \|b coth(x) + a +--R + +--R 2 6 2 5 +--R 2a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (30a b cosh(x) + 4b - 2a b - 4a b)sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (40a b cosh(x) + (16b - 8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 30a b cosh(x) + (24b - 12a b - 24a b)cosh(x) + 4b + 6a b +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 12a b cosh(x) + (16b - 8a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (8b + 12a b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 2a b cosh(x) + (4b - 2a b - 4a b)cosh(x) +--R + +--R 3 2 2 2 +--R (4b + 6a b + 2a b)cosh(x) +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 8 2 7 +--R 2a b sinh(x) + 16a b cosh(x)sinh(x) +--R + +--R 2 2 3 2 2 6 +--R (56a b cosh(x) - 4b + 2a b - 6a b)sinh(x) +--R + +--R 2 3 3 2 2 5 +--R (112a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x))sinh(x) +--R + +--R 2 4 3 2 2 2 3 2 +--R 140a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) - 8b + 4a b +--R + +--R 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 2 2 3 +--R 112a b cosh(x) + (- 80b + 40a b - 120a b)cosh(x) +--R + +--R 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 2 2 4 +--R 56a b cosh(x) + (- 60b + 30a b - 90a b)cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 48b + 24a b + 36a b)cosh(x) - 4b - 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 2 2 5 +--R 16a b cosh(x) + (- 24b + 12a b - 36a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- 32b + 16a b + 24a b)cosh(x) + (- 8b - 12a b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 3 2 2 6 +--R 2a b cosh(x) + (- 4b + 2a b - 6a b)cosh(x) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 8b + 4a b + 6a b)cosh(x) + (- 4b - 6a b - 2a b)cosh(x) +--R * +--R +-----+ +--R \|b + a +--R / +--R 6 5 +--R (2b - 2a)sinh(x) + (12b - 12a)cosh(x)sinh(x) +--R + +--R 2 4 +--R ((30b - 30a)cosh(x) - 2b + 6a)sinh(x) +--R + +--R 3 3 +--R ((40b - 40a)cosh(x) + (- 8b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R ((30b - 30a)cosh(x) + (- 12b + 36a)cosh(x) - 2b - 6a)sinh(x) +--R + +--R 5 3 +--R ((12b - 12a)cosh(x) + (- 8b + 24a)cosh(x) + (- 4b - 12a)cosh(x)) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (2b - 2a)cosh(x) + (- 2b + 6a)cosh(x) + (- 2b - 6a)cosh(x) + 2b + 2a +--R * +--R +-----------------------------------------------+ +--R | 2 2 +--R +-----+ |(2b + 2a)sinh(x) + (2b + 2a)cosh(x) + 2b - 2a +--R \|b + a |----------------------------------------------- +--R | 2 2 +--R \| sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 2 8 2 2 7 +--R (- 2b - 2a )sinh(x) + (- 16b - 16a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 56b - 56a )cosh(x) + 8a )sinh(x) +--R + +--R 2 2 3 2 5 +--R ((- 112b - 112a )cosh(x) + 48a cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 4 +--R ((- 140b - 140a )cosh(x) + 120a cosh(x) + 4b - 4a b - 12a )sinh(x) +--R + +--R 2 2 5 2 3 +--R (- 112b - 112a )cosh(x) + 160a cosh(x) +--R + +--R 2 2 +--R (16b - 16a b - 48a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 4 +--R (- 56b - 56a )cosh(x) + 120a cosh(x) +--R + +--R 2 2 2 2 +--R (24b - 24a b - 72a )cosh(x) + 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 2 5 +--R (- 16b - 16a )cosh(x) + 48a cosh(x) +--R + +--R 2 2 3 2 +--R (16b - 16a b - 48a )cosh(x) + (16a b + 16a )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 8 2 6 2 2 4 +--R (- 2b - 2a )cosh(x) + 8a cosh(x) + (4b - 4a b - 12a )cosh(x) +--R + +--R 2 2 2 2 +--R (8a b + 8a )cosh(x) - 2b - 4a b - 2a +--R Type: Expression Integer +--E 332 + +--S 333 of 508 +--d0364b:= D(m0364b,x) +--E 333 + +--S 334 of 508 +t0365:= sech(a+b*x)^(1/2) +--R +--R +--R +-------------+ +--R (296) \|sech(b x + a) +--R Type: Expression Integer +--E 334 + +--S 335 of 508 +r0365:= -2*%i*cosh(a+b*x)^(1/2)*EllipticF(1/2*%i*(a+b*x),2)*sech(a+b*x)^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 335 + +--S 336 of 508 +a0365:= integrate(t0365,x) +--R +--R +--R x +--R ++ +---------------+ +--R (297) | \|sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 336 + +--S 337 of 508 +--m0365:= a0365-r0365 +--E 337 + +--S 338 of 508 +--d0365:= D(m0365,x) +--E 338 + +--S 339 of 508 +t0366:= sech(a+b*x)^(3/2) +--R +--R +--R +-------------+ +--R (298) sech(b x + a)\|sech(b x + a) +--R Type: Expression Integer +--E 339 + +--S 340 of 508 +r0366:= 2*(1/cosh(a+b*x))^(1/2)*(%i*cosh(a+b*x)^(1/2)*EllipticE(1/2*%i*(a+b*x),2)+sinh(a+b*x))/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 340 + +--S 341 of 508 +a0366:= integrate(t0366,x) +--R +--R +--R x +--R ++ +---------------+ +--R (299) | sech(%BC b + a)\|sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 341 + +--S 342 of 508 +--m0366:= a0366-r0366 +--E 342 + +--S 343 of 508 +--d0366:= D(m0366,x) +--E 343 + +--S 344 of 508 +t0367:= sech(a+b*x)^(5/2) +--R +--R +--R 2 +-------------+ +--R (300) sech(b x + a) \|sech(b x + a) +--R Type: Expression Integer +--E 344 + +--S 345 of 508 +r0367:= -2/3*(1/cosh(a+b*x))^(1/2)*(%i*cosh(a+b*x)^(3/2)*EllipticF(1/2*%i*(a+b*x),2)-sinh(a+b*x))/b/cosh(a+b*x) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 345 + +--S 346 of 508 +a0367:= integrate(t0367,x) +--R +--R +--R x +--R ++ 2 +---------------+ +--R (301) | sech(%BC b + a) \|sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 346 + +--S 347 of 508 +--m0367:= a0367-r0367 +--E 347 + +--S 348 of 508 +--d0367:= D(m0367,x) +--E 348 + +--S 349 of 508 +t0368:= 1/sech(a+b*x)^(1/2) +--R +--R +--R 1 +--R (302) ---------------- +--R +-------------+ +--R \|sech(b x + a) +--R Type: Expression Integer +--E 349 + +--S 350 of 508 +r0368:= -2*%i*cosh(a+b*x)^(1/2)*EllipticE(1/2*%i*(a+b*x),2)*sech(a+b*x)^(1/2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 350 + +--S 351 of 508 +a0368:= integrate(t0368,x) +--R +--R +--R x +--R ++ 1 +--R (303) | ------------------ d%BC +--R ++ +---------------+ +--R \|sech(%BC b + a) +--R Type: Union(Expression Integer,...) +--E 351 + +--S 352 of 508 +--m0368:= a0368-r0368 +--E 352 + +--S 353 of 508 +--d0368:= D(m0368,x) +--E 353 + +--S 354 of 508 +t0369:= 1/sech(a+b*x)^(3/2) +--R +--R +--R 1 +--R (304) ----------------------------- +--R +-------------+ +--R sech(b x + a)\|sech(b x + a) +--R Type: Expression Integer +--E 354 + +--S 355 of 508 +r0369:= -2/3*%i*cosh(a+b*x)^(1/2)*EllipticF(1/2*%i*(a+b*x),2)*sech(a+b*x)^(1/2)/b+2/3*sinh(a+b*x)/b/sech(a+b*x)^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 355 + +--S 356 of 508 +a0369:= integrate(t0369,x) +--R +--R +--R x +--R ++ 1 +--R (305) | --------------------------------- d%BC +--R ++ +---------------+ +--R sech(%BC b + a)\|sech(%BC b + a) +--R Type: Union(Expression Integer,...) +--E 356 + +--S 357 of 508 +--m0369:= a0369-r0369 +--E 357 + +--S 358 of 508 +--d0369:= D(m0369,x) +--E 358 + +--S 359 of 508 +t0370:= 1/sech(a+b*x)^(5/2) +--R +--R +--R 1 +--R (306) ------------------------------ +--R 2 +-------------+ +--R sech(b x + a) \|sech(b x + a) +--R Type: Expression Integer +--E 359 + +--S 360 of 508 +r0370:= -6/5*%i*cosh(a+b*x)^(1/2)*EllipticE(1/2*%i*(a+b*x),2)*sech(a+b*x)^(1/2)/b+2/5*sinh(a+b*x)/b/sech(a+b*x)^(3/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 360 + +--S 361 of 508 +a0370:= integrate(t0370,x) +--R +--R +--R x +--R ++ 1 +--R (307) | ---------------------------------- d%BC +--R ++ 2 +---------------+ +--R sech(%BC b + a) \|sech(%BC b + a) +--R Type: Union(Expression Integer,...) +--E 361 + +--S 362 of 508 +--m0370:= a0370-r0370 +--E 362 + +--S 363 of 508 +--d0370:= D(m0370,x) +--E 363 + +--S 364 of 508 +t0371:= x*sech(a+b*x) +--R +--R +--R (308) x sech(b x + a) +--R Type: Expression Integer +--E 364 + +--S 365 of 508 +r0371:= (2*x*atan(exp(a+b*x))*b-%i*polylog(2,-%i*exp(a+b*x))+%i*polylog(2,%i*exp(a+b*x)))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 365 + +--S 366 of 508 +a0371:= integrate(t0371,x) +--R +--R +--R x +--R ++ +--R (309) | %BC sech(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 366 + +--S 367 of 508 +--m0371:= a0371-r0371 +--E 367 + +--S 368 of 508 +--d0371:= D(m0371,x) +--E 368 + +--S 369 of 508 +t0372:= x^2*sech(a+b*x) +--R +--R +--R 2 +--R (310) x sech(b x + a) +--R Type: Expression Integer +--E 369 + +--S 370 of 508 +r0372:= 2*(x^2*atan(exp(a+b*x))*b^2-%i*x*polylog(2,-%i*exp(a+b*x))*b+%i*x*polylog(2,%i*exp(a+b*x))*b+%i*polylog(3,-%i*exp(a+b*x))-%i*polylog(3,%i*exp(a+b*x)))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 370 + +--S 371 of 508 +a0372:= integrate(t0372,x) +--R +--R +--R x +--R ++ 2 +--R (311) | %BC sech(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 371 + +--S 372 of 508 +--m0372:= a0372-r0372 +--E 372 + +--S 373 of 508 +--d0372:= D(m0372,x) +--E 373 + +--S 374 of 508 +t0373:= x^3*sech(a+b*x) +--R +--R +--R 3 +--R (312) x sech(b x + a) +--R Type: Expression Integer +--E 374 + +--S 375 of 508 +r0373:= (2*x^3*atan(exp(a+b*x))*b^3-3*%i*x^2*polylog(2,-%i*exp(a+b*x))*b^2+3*%i*x^2*polylog(2,%i*exp(a+b*x))*b^2+6*%i*x*polylog(3,-%i*exp(a+b*x))*b-6*%i*x*polylog(3,%i*exp(a+b*x))*b-6*%i*polylog(4,-%i*exp(a+b*x))+6*%i*polylog(4,%i*exp(a+b*x)))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 375 + +--S 376 of 508 +a0373:= integrate(t0373,x) +--R +--R +--R x +--R ++ 3 +--R (313) | %BC sech(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 376 + +--S 377 of 508 +--m0373:= a0373-r0373 +--E 377 + +--S 378 of 508 +--d0373:= D(m0373,x) +--E 378 + +--S 379 of 508 +t0374:= x*sech(a+b*x)^2 +--R +--R +--R 2 +--R (314) x sech(b x + a) +--R Type: Expression Integer +--E 379 + +--S 380 of 508 +r0374:= -log(cosh(a+b*x))/b^2+x*tanh(a+b*x)/b +--R +--R +--R - log(cosh(b x + a)) + b x tanh(b x + a) +--R (315) ---------------------------------------- +--R 2 +--R b +--R Type: Expression Integer +--E 380 + +--S 381 of 508 +a0374:= integrate(t0374,x) +--R +--R +--R (316) +--R 2 2 +--R (- sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) - 1) +--R * +--R 2cosh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R 2b x sinh(b x + a) + 4b x cosh(b x + a)sinh(b x + a) + 2b x cosh(b x + a) +--R / +--R 2 2 2 2 2 2 +--R b sinh(b x + a) + 2b cosh(b x + a)sinh(b x + a) + b cosh(b x + a) + b +--R Type: Union(Expression Integer,...) +--E 381 + +--S 382 of 508 +--m0374:= a0374-r0374 +--E 382 + +--S 383 of 508 +--d0374:= D(m0374,x) +--E 383 + +--S 384 of 508 +t0375:= x^2*sech(a+b*x)^2 +--R +--R +--R 2 2 +--R (317) x sech(b x + a) +--R Type: Expression Integer +--E 384 + +--S 385 of 508 +r0375:= (b^2*x^2-2*x*log(exp(2*a+2*b*x)+1)*b-polylog(2,-exp(2*a+2*b*x))+x^2*tanh(a+b*x)*b^2)/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 385 + +--S 386 of 508 +a0375:= integrate(t0375,x) +--R +--R +--R x +--R ++ 2 2 +--R (318) | %BC sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 386 + +--S 387 of 508 +--m0375:= a0375-r0375 +--E 387 + +--S 388 of 508 +--d0375:= D(m0375,x) +--E 388 + +--S 389 of 508 +t0376:= x^3*sech(a+b*x)^2 +--R +--R +--R 3 2 +--R (319) x sech(b x + a) +--R Type: Expression Integer +--E 389 + +--S 390 of 508 +r0376:= 1/2*(2*b^3*x^3-6*x^2*log(exp(2*a+2*b*x)+1)*b^2-6*x*polylog(2,-exp(2*a+2*b*x))*b+3*polylog(3,-exp(2*a+2*b*x))+2*x^3*tanh(a+b*x)*b^3)/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 390 + +--S 391 of 508 +a0376:= integrate(t0376,x) +--R +--R +--R x +--R ++ 3 2 +--R (320) | %BC sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 391 + +--S 392 of 508 +--m0376:= a0376-r0376 +--E 392 + +--S 393 of 508 +--d0376:= D(m0376,x) +--E 393 + +--S 394 of 508 +t0377:= x*sech(a+b*x)^3 +--R +--R +--R 3 +--R (321) x sech(b x + a) +--R Type: Expression Integer +--E 394 + +--S 395 of 508 +r0377:= x*atan(exp(1)^(a+b*x))/b-1/2*%i*polylog(2,-%i*exp(1)^(a+b*x))/b^2+1/2*%i*polylog(2,%i*exp(1)^(a+b*x))/b^2+1/2*sech(a+b*x)/b^2+1/2*x*sech(a+b*x)*tanh(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 395 + +--S 396 of 508 +a0377:= integrate(t0377,x) +--R +--R +--R x +--R ++ 3 +--R (322) | %BC sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 396 + +--S 397 of 508 +--m0377:= a0377-r0377 +--E 397 + +--S 398 of 508 +--d0377:= D(m0377,x) +--E 398 + +--S 399 of 508 +t0378:= x^2*sech(a+b*x)^3 +--R +--R +--R 2 3 +--R (323) x sech(b x + a) +--R Type: Expression Integer +--E 399 + +--S 400 of 508 +r0378:= x^2*atan(exp(1)^(a+b*x))/b-atan(sinh(a+b*x))/b^3-%i*x*polylog(2,-%i*exp(1)^(a+b*x))/b^2+%i*x*polylog(2,%i*exp(1)^(a+b*x))/b^2+%i*polylog(3,-%i*exp(1)^(a+b*x))/b^3-%i*polylog(3,%i*exp(1)^(a+b*x))/b^3+x*sech(a+b*x)/b^2+1/2*x^2*sech(a+b*x)*tanh(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 400 + +--S 401 of 508 +a0378:= integrate(t0378,x) +--R +--R +--R x +--R ++ 2 3 +--R (324) | %BC sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 401 + +--S 402 of 508 +--m0378:= a0378-r0378 +--E 402 + +--S 403 of 508 +--d0378:= D(m0378,x) +--E 403 + +--S 404 of 508 +t0379:= (c+d*x)*sech(a+b*x) +--R +--R +--R (325) (d x + c)sech(b x + a) +--R Type: Expression Integer +--E 404 + +--S 405 of 508 +r0379:= (2*atan(exp(a+b*x))*c*b+2*atan(exp(a+b*x))*d*x*b-%i*d*polylog(2,-%i*exp(a+b*x))+%i*d*polylog(2,%i*exp(a+b*x)))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 405 + +--S 406 of 508 +a0379:= integrate(t0379,x) +--R +--R +--R x +--R ++ +--R (326) | (%BC d + c)sech(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 406 + +--S 407 of 508 +--m0379:= a0379-r0379 +--E 407 + +--S 408 of 508 +--d0379:= D(m0379,x) +--E 408 + +--S 409 of 508 +t0380:= (c+d*x)^2*sech(a+b*x) +--R +--R +--R 2 2 2 +--R (327) (d x + 2c d x + c )sech(b x + a) +--R Type: Expression Integer +--E 409 + +--S 410 of 508 +r0380:= 2*(c+d*x)^2*atan(exp(1)^(a+b*x))/b-2*%i*d*(c+d*x)*polylog(2,-%i*exp(1)^(a+b*x))/b^2+2*%i*d*(c+d*x)*polylog(2,%i*exp(1)^(a+b*x))/b^2+2*%i*d^2*polylog(3,-%i*exp(1)^(a+b*x))/b^3-2*%i*d^2*polylog(3,%i*exp(1)^(a+b*x))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 410 + +--S 411 of 508 +a0380:= integrate(t0380,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (328) | (%BC d + 2%BC c d + c )sech(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 411 + +--S 412 of 508 +--m0380:= a0380-r0380 +--E 412 + +--S 413 of 508 +--d0380:= D(m0380,x) +--E 413 + +--S 414 of 508 +t0381:= (c+d*x)^3*sech(a+b*x) +--R +--R +--R 3 3 2 2 2 3 +--R (329) (d x + 3c d x + 3c d x + c )sech(b x + a) +--R Type: Expression Integer +--E 414 + +--S 415 of 508 +r0381:= 2*(c+d*x)^3*atan(exp(1)^(a+b*x))/b-3*%i*d*(c+d*x)^2*polylog(2,-%i*exp(1)^(a+b*x))/b^2+3*%i*d*(c+d*x)^2*polylog(2,%i*exp(1)^(a+b*x))/b^2+6*%i*d^2*(c+d*x)*polylog(3,-%i*exp(1)^(a+b*x))/b^3-6*%i*d^2*(c+d*x)*polylog(3,%i*exp(1)^(a+b*x))/b^3-6*%i*d^3*polylog(4,-%i*exp(1)^(a+b*x))/b^4+6*%i*d^3*polylog(4,%i*exp(1)^(a+b*x))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 415 + +--S 416 of 508 +a0381:= integrate(t0381,x) +--R +--R +--R x +--R ++ 3 3 2 2 2 3 +--R (330) | (%BC d + 3%BC c d + 3%BC c d + c )sech(%BC b + a)d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 416 + +--S 417 of 508 +--m0381:= a0381-r0381 +--E 417 + +--S 418 of 508 +--d0381:= D(m0381,x) +--E 418 + +--S 419 of 508 +t0382:= (c+d*x)*sech(a+b*x)^2 +--R +--R +--R 2 +--R (331) (d x + c)sech(b x + a) +--R Type: Expression Integer +--E 419 + +--S 420 of 508 +r0382:= -d*log(cosh(a+b*x))/b^2+(c+d*x)*tanh(a+b*x)/b +--R +--R +--R - d log(cosh(b x + a)) + (b d x + b c)tanh(b x + a) +--R (332) --------------------------------------------------- +--R 2 +--R b +--R Type: Expression Integer +--E 420 + +--S 421 of 508 +a0382:= integrate(t0382,x) +--R +--R +--R (333) +--R 2 2 +--R - d sinh(b x + a) - 2d cosh(b x + a)sinh(b x + a) - d cosh(b x + a) +--R + +--R - d +--R * +--R 2cosh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 +--R 2b d x sinh(b x + a) + 4b d x cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R 2b d x cosh(b x + a) - 2b c +--R / +--R 2 2 2 2 2 2 +--R b sinh(b x + a) + 2b cosh(b x + a)sinh(b x + a) + b cosh(b x + a) + b +--R Type: Union(Expression Integer,...) +--E 421 + +--S 422 of 508 +m0382:= a0382-r0382 +--R +--R +--R (334) +--R 2 2 +--R d sinh(b x + a) + 2d cosh(b x + a)sinh(b x + a) + d cosh(b x + a) +--R + +--R d +--R * +--R log(cosh(b x + a)) +--R + +--R 2 2 +--R - d sinh(b x + a) - 2d cosh(b x + a)sinh(b x + a) - d cosh(b x + a) +--R + +--R - d +--R * +--R 2cosh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 +--R (- b d x - b c)sinh(b x + a) +--R + +--R (- 2b d x - 2b c)cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R (- b d x - b c)cosh(b x + a) - b d x - b c +--R * +--R tanh(b x + a) +--R + +--R 2 +--R 2b d x sinh(b x + a) + 4b d x cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R 2b d x cosh(b x + a) - 2b c +--R / +--R 2 2 2 2 2 2 +--R b sinh(b x + a) + 2b cosh(b x + a)sinh(b x + a) + b cosh(b x + a) + b +--R Type: Expression Integer +--E 422 + +--S 423 of 508 +d0382:= D(m0382,x) +--R +--R +--R (335) +--R 4 +--R (b d x + b c)sinh(b x + a) +--R + +--R 3 +--R (4b d x + 4b c)cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R ((6b d x + 6b c)cosh(b x + a) + 2b d x + 2b c)sinh(b x + a) +--R + +--R 3 +--R ((4b d x + 4b c)cosh(b x + a) + (4b d x + 4b c)cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 4 2 +--R (b d x + b c)cosh(b x + a) + (2b d x + 2b c)cosh(b x + a) + b d x +--R + +--R b c +--R * +--R 2 +--R tanh(b x + a) +--R + +--R 4 3 +--R - d sinh(b x + a) - 4d cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (- 6d cosh(b x + a) - 2d)sinh(b x + a) +--R + +--R 3 +--R (- 4d cosh(b x + a) - 4d cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R - d cosh(b x + a) - 2d cosh(b x + a) - d +--R * +--R tanh(b x + a) +--R + +--R 4 +--R (- b d x + d - b c)sinh(b x + a) +--R + +--R 3 +--R (- 4b d x + 4d - 4b c)cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R ((- 6b d x + 6d - 6b c)cosh(b x + a) + 2b d x + 2b c)sinh(b x + a) +--R + +--R 3 +--R ((- 4b d x + 4d - 4b c)cosh(b x + a) + (4b d x + 4b c)cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 4 2 +--R (- b d x + d - b c)cosh(b x + a) + (2b d x + 2b c)cosh(b x + a) - b d x +--R + +--R - d - b c +--R / +--R 4 3 +--R b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (6b cosh(b x + a) + 2b)sinh(b x + a) +--R + +--R 3 4 +--R (4b cosh(b x + a) + 4b cosh(b x + a))sinh(b x + a) + b cosh(b x + a) +--R + +--R 2 +--R 2b cosh(b x + a) + b +--R Type: Expression Integer +--E 423 + +--S 424 of 508 +t0383:= (c+d*x)^2*sech(a+b*x)^2 +--R +--R +--R 2 2 2 2 +--R (336) (d x + 2c d x + c )sech(b x + a) +--R Type: Expression Integer +--E 424 + +--S 425 of 508 +r0383:= (c+d*x)^2/b-2*d*(c+d*x)*log(1+exp(1)^(2*a+2*b*x))/b^2-d^2*polylog(2,-exp(1)^(2*a+2*b*x))/b^3+(c+d*x)^2*tanh(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 425 + +--S 426 of 508 +a0383:= integrate(t0383,x) +--R +--R +--R x +--R ++ 2 2 2 2 +--R (337) | (%BC d + 2%BC c d + c )sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 426 + +--S 427 of 508 +--m0383:= a0383-r0383 +--E 427 + +--S 428 of 508 +--d0383:= D(m0383,x) +--E 428 + +--S 429 of 508 +t0384:= (c+d*x)^3*sech(a+b*x)^2 +--R +--R +--R 3 3 2 2 2 3 2 +--R (338) (d x + 3c d x + 3c d x + c )sech(b x + a) +--R Type: Expression Integer +--E 429 + +--S 430 of 508 +r0384:= (c+d*x)^3/b-3*d*(c+d*x)^2*log(1+exp(1)^(2*a+2*b*x))/b^2-3*d^2*(c+d*x)*polylog(2,-exp(1)^(2*a+2*b*x))/b^3+3/2*d^3*polylog(3,-exp(1)^(2*a+2*b*x))/b^4+(c+d*x)^3*tanh(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 430 + +--S 431 of 508 +a0384:= integrate(t0384,x) +--R +--R +--R x +--R ++ 3 3 2 2 2 3 2 +--R (339) | (%BC d + 3%BC c d + 3%BC c d + c )sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 431 + +--S 432 of 508 +--m0384:= a0384-r0384 +--E 432 + +--S 433 of 508 +--d0384:= D(m0384,x) +--E 433 + +--S 434 of 508 +t0385:= (c+d*x)*sech(a+b*x)^3 +--R +--R +--R 3 +--R (340) (d x + c)sech(b x + a) +--R Type: Expression Integer +--E 434 + +--S 435 of 508 +r0385:= (c+d*x)*atan(exp(1)^(a+b*x))/b-1/2*%i*d*polylog(2,-%i*exp(1)^(a+b*x))/b^2+1/2*%i*d*polylog(2,%i*exp(1)^(a+b*x))/b^2+1/2*d*sech(a+b*x)/b^2+1/2*(c+d*x)*sech(a+b*x)*tanh(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 435 + +--S 436 of 508 +a0385:= integrate(t0385,x) +--R +--R +--R x +--R ++ 3 +--R (341) | (%BC d + c)sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 436 + +--S 437 of 508 +--m0385:= a0385-r0385 +--E 437 + +--S 438 of 508 +--d0385:= D(m0385,x) +--E 438 + +--S 439 of 508 +t0386:= (c+d*x)^2*sech(a+b*x)^3 +--R +--R +--R 2 2 2 3 +--R (342) (d x + 2c d x + c )sech(b x + a) +--R Type: Expression Integer +--E 439 + +--S 440 of 508 +r0386:= (c+d*x)^2*atan(exp(1)^(a+b*x))/b-d^2*atan(sinh(a+b*x))/b^3-%i*d*(c+d*x)*polylog(2,-%i*exp(1)^(a+b*x))/b^2+%i*d*(c+d*x)*polylog(2,%i*exp(1)^(a+b*x))/b^2+%i*d^2*polylog(3,-%i*exp(1)^(a+b*x))/b^3-%i*d^2*polylog(3,%i*exp(1)^(a+b*x))/b^3+d*(c+d*x)*sech(a+b*x)/b^2+1/2*(c+d*x)^2*sech(a+b*x)*tanh(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 440 + +--S 441 of 508 +a0386:= integrate(t0386,x) +--R +--R +--R x +--R ++ 2 2 2 3 +--R (343) | (%BC d + 2%BC c d + c )sech(%BC b + a) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 441 + +--S 442 of 508 +--m0386:= a0386-r0386 +--E 442 + +--S 443 of 508 +--d0386:= D(m0386,x) +--E 443 + +--S 444 of 508 +t0387:= sech(x)^(1/2) +--R +--R +--R +-------+ +--R (344) \|sech(x) +--R Type: Expression Integer +--E 444 + +--S 445 of 508 +r0387:= -2*%i*cosh(x)^(1/2)*EllipticF(1/2*%i*x,2)*sech(x)^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 445 + +--S 446 of 508 +a0387:= integrate(t0387,x) +--R +--R +--R x +--R ++ +---------+ +--R (345) | \|sech(%BC) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 446 + +--S 447 of 508 +--m0387:= a0387-r0387 +--E 447 + +--S 448 of 508 +--d0387:= D(m0387,x) +--E 448 + +--S 449 of 508 +t0388:= (sech(x)^2)^(1/2) +--R +--R +--R +--------+ +--R | 2 +--R (346) \|sech(x) +--R Type: Expression Integer +--E 449 + +--S 450 of 508 +r0388:= asin(tanh(x)) +--R +--R +--R (347) asin(tanh(x)) +--R Type: Expression Integer +--E 450 + +--S 451 of 508 +a0388:= integrate(t0388,x) +--R +--R +--R (348) 2atan(sinh(x) + cosh(x)) +--R Type: Union(Expression Integer,...) +--E 451 + +--S 452 of 508 +m0388:= a0388-r0388 +--R +--R +--R (349) 2atan(sinh(x) + cosh(x)) - asin(tanh(x)) +--R Type: Expression Integer +--E 452 + +--S 453 of 508 +d0388:= D(m0388,x) +--R +--R +--R (350) +--R +--------------+ +--R | 2 +--R (2sinh(x) + 2cosh(x))\|- tanh(x) + 1 +--R + +--R 2 2 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)tanh(x) - sinh(x) +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) - 1 +--R / +--R +--------------+ +--R 2 2 | 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- tanh(x) + 1 +--R Type: Expression Integer +--E 453 + +--S 454 of 508 +t0389:= (sech(x)^3)^(1/2) +--R +--R +--R +--------+ +--R | 3 +--R (351) \|sech(x) +--R Type: Expression Integer +--E 454 + +--S 455 of 508 +r0389:= 2*cosh(x)*(sech(x)^3)^(1/2)*(%i*cosh(x)^(1/2)*EllipticE(1/2*%i*x,2)+sinh(x)) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 455 + +--S 456 of 508 +a0389:= integrate(t0389,x) +--R +--R +--R x +----------+ +--R ++ | 3 +--R (352) | \|sech(%BC) d%BC +--R ++ +--R Type: Union(Expression Integer,...) +--E 456 + +--S 457 of 508 +--m0389:= a0389-r0389 +--E 457 + +--S 458 of 508 +--d0389:= D(m0389,x) +--E 458 + +--S 459 of 508 +t0390:= (sech(x)^4)^(1/2) +--R +--R +--R +--------+ +--R | 4 +--R (353) \|sech(x) +--R Type: Expression Integer +--E 459 + +--S 460 of 508 +r0390:= 1/cosh(x)*csgn(1/cosh(x)^2)*sinh(x) +--R +--R There are no library operations named csgn +--R Use HyperDoc Browse or issue +--R )what op csgn +--R to learn if there is any operation containing " csgn " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named csgn +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 460 + +--S 461 of 508 +a0390:= integrate(t0390,x) +--R +--R +--R 2 +--R (354) - ----------------------------------------- +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 461 + +--S 462 of 508 +--m0390:= a0390-r0390 +--E 462 + +--S 463 of 508 +--d0390:= D(m0390,x) +--E 463 + +--S 464 of 508 +t0391:= 1/(a+a*sech(c+d*x)) +--R +--R +--R 1 +--R (355) ------------------- +--R a sech(d x + c) + a +--R Type: Expression Integer +--E 464 + +--S 465 of 508 +r0391:= x/a-sinh(c+d*x)/a/d/(1+cosh(c+d*x)) +--R +--R +--R - sinh(d x + c) + d x cosh(d x + c) + d x +--R (356) ----------------------------------------- +--R a d cosh(d x + c) + a d +--R Type: Expression Integer +--E 465 + +--S 466 of 508 +a0391:= integrate(t0391,x) +--R +--R +--R d x sinh(d x + c) + d x cosh(d x + c) + d x + 2 +--R (357) ----------------------------------------------- +--R a d sinh(d x + c) + a d cosh(d x + c) + a d +--R Type: Union(Expression Integer,...) +--E 466 + +--S 467 of 508 +m0391:= a0391-r0391 +--R +--R +--R (358) +--R 2 +--R sinh(d x + c) + (cosh(d x + c) + 1)sinh(d x + c) + 2cosh(d x + c) + 2 +--R / +--R 2 +--R (a d cosh(d x + c) + a d)sinh(d x + c) + a d cosh(d x + c) +--R + +--R 2a d cosh(d x + c) + a d +--R Type: Expression Integer +--E 467 + +--S 468 of 508 +d0391:= D(m0391,x) +--R +--R +--R (359) +--R 4 3 +--R - sinh(d x + c) + (- 2cosh(d x + c) - 2)sinh(d x + c) +--R + +--R 2 +--R (- cosh(d x + c) - 1)sinh(d x + c) +--R + +--R 3 2 +--R (2cosh(d x + c) + 2cosh(d x + c) - 2cosh(d x + c) - 2)sinh(d x + c) +--R + +--R 4 3 2 +--R cosh(d x + c) + cosh(d x + c) - cosh(d x + c) - cosh(d x + c) +--R / +--R 2 2 +--R (a cosh(d x + c) + 2a cosh(d x + c) + a)sinh(d x + c) +--R + +--R 3 2 +--R (2a cosh(d x + c) + 6a cosh(d x + c) + 6a cosh(d x + c) + 2a) +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R a cosh(d x + c) + 4a cosh(d x + c) + 6a cosh(d x + c) +--R + +--R 4a cosh(d x + c) + a +--R Type: Expression Integer +--E 468 + +--S 469 of 508 +t0392:= 1/(a-a*sech(c+d*x)) +--R +--R +--R 1 +--R (360) - ------------------- +--R a sech(d x + c) - a +--R Type: Expression Integer +--E 469 + +--S 470 of 508 +r0392:= x/a+sinh(c+d*x)/a/d/(1-cosh(c+d*x)) +--R +--R +--R - sinh(d x + c) + d x cosh(d x + c) - d x +--R (361) ----------------------------------------- +--R a d cosh(d x + c) - a d +--R Type: Expression Integer +--E 470 + +--S 471 of 508 +a0392:= integrate(t0392,x) +--R +--R +--R d x sinh(d x + c) + d x cosh(d x + c) - d x - 2 +--R (362) ----------------------------------------------- +--R a d sinh(d x + c) + a d cosh(d x + c) - a d +--R Type: Union(Expression Integer,...) +--E 471 + +--S 472 of 508 +m0392:= a0392-r0392 +--R +--R +--R (363) +--R 2 +--R sinh(d x + c) + (cosh(d x + c) - 1)sinh(d x + c) - 2cosh(d x + c) + 2 +--R / +--R 2 +--R (a d cosh(d x + c) - a d)sinh(d x + c) + a d cosh(d x + c) +--R + +--R - 2a d cosh(d x + c) + a d +--R Type: Expression Integer +--E 472 + +--S 473 of 508 +d0392:= D(m0392,x) +--R +--R +--R (364) +--R 4 3 +--R - sinh(d x + c) + (- 2cosh(d x + c) + 2)sinh(d x + c) +--R + +--R 2 +--R (cosh(d x + c) - 1)sinh(d x + c) +--R + +--R 3 2 +--R (2cosh(d x + c) - 2cosh(d x + c) - 2cosh(d x + c) + 2)sinh(d x + c) +--R + +--R 4 3 2 +--R cosh(d x + c) - cosh(d x + c) - cosh(d x + c) + cosh(d x + c) +--R / +--R 2 2 +--R (a cosh(d x + c) - 2a cosh(d x + c) + a)sinh(d x + c) +--R + +--R 3 2 +--R (2a cosh(d x + c) - 6a cosh(d x + c) + 6a cosh(d x + c) - 2a) +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R a cosh(d x + c) - 4a cosh(d x + c) + 6a cosh(d x + c) +--R + +--R - 4a cosh(d x + c) + a +--R Type: Expression Integer +--E 473 + +--S 474 of 508 +t0393:= (3+3*sech(x))^(1/2) +--R +--R +--R +------------+ +--R (365) \|3sech(x) + 3 +--R Type: Expression Integer +--E 474 + +--S 475 of 508 +r0393:= 2*3^(1/2)*atan((-1+sech(x))^(1/2))*tanh(x)/(-1+sech(x))^(1/2)/(1+sech(x))^(1/2) +--R +--R +--R +-+ +-----------+ +--R 2\|3 tanh(x)atan(\|sech(x) - 1 ) +--R (366) -------------------------------- +--R +-----------+ +-----------+ +--R \|sech(x) - 1 \|sech(x) + 1 +--R Type: Expression Integer +--E 475 + +--S 476 of 508 +a0393:= integrate(t0393,x) +--R +--R +--R (367) +--R - +--R +-+ +--R \|3 +--R * +--R log +--R +-----------------------------------------+ +--R | 3 +-+ +--R |----------------------------------------- - \|3 sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +-+ +--R - \|3 cosh(x) - \|3 +--R / +--R sinh(x) + cosh(x) +--R + +--R +-+ +--R \|3 +--R * +--R log +--R 3 2 +--R sinh(x) + (3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 1)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 3 +-+ +-+ 2 +--R - \|3 sinh(x) + (- 3\|3 cosh(x) + \|3 )sinh(x) +--R + +--R +-+ 2 +-+ +-+ +-+ 3 +--R (- 3\|3 cosh(x) + 2\|3 cosh(x) - \|3 )sinh(x) - \|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R \|3 cosh(x) - \|3 cosh(x) + 2\|3 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R Type: Union(Expression Integer,...) +--E 476 + +--S 477 of 508 +m0393:= a0393-r0393 +--R +--R +--R (368) +--R - +--R +-+ +-----------+ +-----------+ +--R \|3 \|sech(x) - 1 \|sech(x) + 1 +--R * +--R log +--R +-----------------------------------------+ +--R | 3 +-+ +--R |----------------------------------------- - \|3 sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +-+ +--R - \|3 cosh(x) - \|3 +--R / +--R sinh(x) + cosh(x) +--R + +--R +-+ +-----------+ +-----------+ +--R \|3 \|sech(x) - 1 \|sech(x) + 1 +--R * +--R log +--R 3 2 +--R sinh(x) + (3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 1)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 3 +-+ +-+ 2 +--R - \|3 sinh(x) + (- 3\|3 cosh(x) + \|3 )sinh(x) +--R + +--R +-+ 2 +-+ +-+ +-+ 3 +--R (- 3\|3 cosh(x) + 2\|3 cosh(x) - \|3 )sinh(x) - \|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R \|3 cosh(x) - \|3 cosh(x) + 2\|3 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +-+ +-----------+ +--R - 2\|3 tanh(x)atan(\|sech(x) - 1 ) +--R / +--R +-----------+ +-----------+ +--R \|sech(x) - 1 \|sech(x) + 1 +--R Type: Expression Integer +--E 477 + +--S 478 of 508 +d0393:= D(m0393,x) +--R +--R +--R (369) +--R 6 5 2 4 +--R - 6sinh(x) - 36cosh(x)sinh(x) + (- 90cosh(x) + 6)sinh(x) +--R + +--R 3 3 +--R (- 120cosh(x) + 24cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 90cosh(x) + 36cosh(x) + 36)sinh(x) +--R + +--R 5 3 6 +--R (- 36cosh(x) + 24cosh(x) + 72cosh(x))sinh(x) - 6cosh(x) +--R + +--R 4 2 +--R 6cosh(x) + 36cosh(x) + 24 +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 +--R (- 6sech(x) + 6)sinh(x) +--R + +--R 2 5 +--R (- 36cosh(x)sech(x) + 36cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 90cosh(x) + 6)sech(x) + 90cosh(x) - 6)sinh(x) +--R + +--R 3 2 3 +--R ((- 120cosh(x) + 24cosh(x))sech(x) + 120cosh(x) - 24cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (- 90cosh(x) + 36cosh(x) + 36)sech(x) + 90cosh(x) +--R + +--R 2 +--R - 36cosh(x) - 36 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 36cosh(x) + 24cosh(x) + 72cosh(x))sech(x) + 36cosh(x) +--R + +--R 3 +--R - 24cosh(x) - 72cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (- 6cosh(x) + 6cosh(x) + 36cosh(x) + 24)sech(x) + 6cosh(x) +--R + +--R 4 2 +--R - 6cosh(x) - 36cosh(x) - 24 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 6 +-+ 5 +--R 6\|3 sinh(x) + 36\|3 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (90\|3 cosh(x) + 6\|3 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (120\|3 cosh(x) + 24\|3 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (90\|3 cosh(x) + 36\|3 cosh(x) - 24\|3 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (36\|3 cosh(x) + 24\|3 cosh(x) - 48\|3 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 6\|3 cosh(x) + 6\|3 cosh(x) - 24\|3 cosh(x) - 24\|3 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 2 +-+ 6 +--R (6\|3 sech(x) - 6\|3 )sinh(x) +--R + +--R +-+ 2 +-+ 5 +--R (36\|3 cosh(x)sech(x) - 36\|3 cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ 4 +--R ((90\|3 cosh(x) + 6\|3 )sech(x) - 90\|3 cosh(x) - 6\|3 )sinh(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (120\|3 cosh(x) + 24\|3 cosh(x))sech(x) - 120\|3 cosh(x) +--R + +--R +-+ +--R - 24\|3 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (90\|3 cosh(x) + 36\|3 cosh(x) - 24\|3 )sech(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 90\|3 cosh(x) - 36\|3 cosh(x) + 24\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (36\|3 cosh(x) + 24\|3 cosh(x) - 48\|3 cosh(x))sech(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 36\|3 cosh(x) - 24\|3 cosh(x) + 48\|3 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (6\|3 cosh(x) + 6\|3 cosh(x) - 24\|3 cosh(x) - 24\|3 )sech(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 6\|3 cosh(x) - 6\|3 cosh(x) + 24\|3 cosh(x) + 24\|3 +--R * +--R +-----------+ +--R atan(\|sech(x) - 1 ) +--R + +--R 2 6 +--R (- 6sech(x) + 6)sinh(x) +--R + +--R 2 5 +--R ((- 36cosh(x) + 18)sech(x) + 36cosh(x) - 18)sinh(x) +--R + +--R 2 2 2 +--R (- 90cosh(x) + 90cosh(x) + 3)sech(x) + 90cosh(x) +--R + +--R - 90cosh(x) - 3 +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 +--R (- 120cosh(x) + 180cosh(x) + 12cosh(x) + 30)sech(x) +--R + +--R 3 2 +--R 120cosh(x) - 180cosh(x) - 12cosh(x) - 30 +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 90cosh(x) + 180cosh(x) + 18cosh(x) + 90cosh(x) + 24) +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 2 +--R 90cosh(x) - 180cosh(x) - 18cosh(x) - 90cosh(x) - 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 36cosh(x) + 90cosh(x) + 12cosh(x) + 90cosh(x) +--R + +--R 48cosh(x) + 12 +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 3 2 +--R 36cosh(x) - 90cosh(x) - 12cosh(x) - 90cosh(x) - 48cosh(x) +--R + +--R - 12 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 6cosh(x) + 18cosh(x) + 3cosh(x) + 30cosh(x) +--R + +--R 2 +--R 24cosh(x) + 12cosh(x) + 12 +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 4 3 2 +--R 6cosh(x) - 18cosh(x) - 3cosh(x) - 30cosh(x) - 24cosh(x) +--R + +--R - 12cosh(x) - 12 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 2 +-+ 6 +--R (3\|3 sech(x) - 3\|3 )sinh(x) +--R + +--R +-+ +-+ 2 +-+ +-+ 5 +--R ((18\|3 cosh(x) - 6\|3 )sech(x) - 18\|3 cosh(x) + 6\|3 )sinh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ 2 +--R (45\|3 cosh(x) - 30\|3 cosh(x) + 3\|3 )sech(x) - 45\|3 cosh(x) +--R + +--R +-+ +-+ +--R 30\|3 cosh(x) - 3\|3 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R (60\|3 cosh(x) - 60\|3 cosh(x) + 12\|3 cosh(x) - 24\|3 ) +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 60\|3 cosh(x) + 60\|3 cosh(x) - 12\|3 cosh(x) + 24\|3 +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 45\|3 cosh(x) - 60\|3 cosh(x) + 18\|3 cosh(x) +--R + +--R +-+ +-+ +--R - 72\|3 cosh(x) - 18\|3 +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 45\|3 cosh(x) + 60\|3 cosh(x) - 18\|3 cosh(x) +--R + +--R +-+ +-+ +--R 72\|3 cosh(x) + 18\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 18\|3 cosh(x) - 30\|3 cosh(x) + 12\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 72\|3 cosh(x) - 36\|3 cosh(x) - 12\|3 +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 18\|3 cosh(x) + 30\|3 cosh(x) - 12\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 72\|3 cosh(x) + 36\|3 cosh(x) + 12\|3 +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +-+ 3 +--R 3\|3 cosh(x) - 6\|3 cosh(x) + 3\|3 cosh(x) - 24\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 18\|3 cosh(x) - 12\|3 cosh(x) - 12\|3 +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +-+ 3 +--R - 3\|3 cosh(x) + 6\|3 cosh(x) - 3\|3 cosh(x) + 24\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 18\|3 cosh(x) + 12\|3 cosh(x) + 12\|3 +--R * +--R +-----------+ +-----------+ +--R \|sech(x) - 1 \|sech(x) + 1 +--R + +--R 6 5 +--R (3sech(x) + 3)sinh(x) + (18cosh(x)sech(x) + 18cosh(x))sinh(x) +--R + +--R 2 2 4 +--R ((45cosh(x) - 3)sech(x) + 45cosh(x) - 3)sinh(x) +--R + +--R 3 3 +--R ((60cosh(x) - 12cosh(x))sech(x) + 60cosh(x) - 12cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 4 +--R (45cosh(x) - 18cosh(x) - 18)sech(x) + 45cosh(x) +--R + +--R 2 +--R - 18cosh(x) - 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 5 +--R (18cosh(x) - 12cosh(x) - 36cosh(x))sech(x) + 18cosh(x) +--R + +--R 3 +--R - 12cosh(x) - 36cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 6 +--R (3cosh(x) - 3cosh(x) - 18cosh(x) - 12)sech(x) + 3cosh(x) +--R + +--R 4 2 +--R - 3cosh(x) - 18cosh(x) - 12 +--R * +--R +-----------------------------------------+ +--R 2 | 3 +--R tanh(x) |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +-+ 6 +--R (- 3\|3 sech(x) - 3\|3 )sinh(x) +--R + +--R +-+ +-+ 5 +--R (- 18\|3 cosh(x)sech(x) - 18\|3 cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R ((- 45\|3 cosh(x) - 3\|3 )sech(x) - 45\|3 cosh(x) - 3\|3 ) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 3 +-+ +-+ 3 +--R (- 60\|3 cosh(x) - 12\|3 cosh(x))sech(x) - 60\|3 cosh(x) +--R + +--R +-+ +--R - 12\|3 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 45\|3 cosh(x) - 18\|3 cosh(x) + 12\|3 )sech(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 45\|3 cosh(x) - 18\|3 cosh(x) + 12\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 18\|3 cosh(x) - 12\|3 cosh(x) + 24\|3 cosh(x))sech(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 18\|3 cosh(x) - 12\|3 cosh(x) + 24\|3 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 3\|3 cosh(x) - 3\|3 cosh(x) + 12\|3 cosh(x) + 12\|3 ) +--R * +--R sech(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 3\|3 cosh(x) - 3\|3 cosh(x) + 12\|3 cosh(x) + 12\|3 +--R * +--R 2 +--R tanh(x) +--R * +--R +-----------+ +--R \|sech(x) - 1 +--R / +--R +-+ 2 +-+ 6 +--R (\|3 sech(x) - \|3 )sinh(x) +--R + +--R +-+ 2 +-+ 5 +--R (6\|3 cosh(x)sech(x) - 6\|3 cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ 4 +--R ((15\|3 cosh(x) - \|3 )sech(x) - 15\|3 cosh(x) + \|3 )sinh(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (20\|3 cosh(x) - 4\|3 cosh(x))sech(x) - 20\|3 cosh(x) +--R + +--R +-+ +--R 4\|3 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (15\|3 cosh(x) - 6\|3 cosh(x) - 6\|3 )sech(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 15\|3 cosh(x) + 6\|3 cosh(x) + 6\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (6\|3 cosh(x) - 4\|3 cosh(x) - 12\|3 cosh(x))sech(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 6\|3 cosh(x) + 4\|3 cosh(x) + 12\|3 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (\|3 cosh(x) - \|3 cosh(x) - 6\|3 cosh(x) - 4\|3 )sech(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - \|3 cosh(x) + \|3 cosh(x) + 6\|3 cosh(x) + 4\|3 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 2 5 +--R (- 3sech(x) + 3)sinh(x) + (- 18cosh(x)sech(x) + 18cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 45cosh(x) - 3)sech(x) + 45cosh(x) + 3)sinh(x) +--R + +--R 3 2 3 3 +--R ((- 60cosh(x) - 12cosh(x))sech(x) + 60cosh(x) + 12cosh(x))sinh(x) +--R + +--R 4 2 2 4 2 +--R (- 45cosh(x) - 18cosh(x) + 12)sech(x) + 45cosh(x) + 18cosh(x) +--R + +--R - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 18cosh(x) - 12cosh(x) + 24cosh(x))sech(x) + 18cosh(x) +--R + +--R 3 +--R 12cosh(x) - 24cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (- 3cosh(x) - 3cosh(x) + 12cosh(x) + 12)sech(x) + 3cosh(x) +--R + +--R 4 2 +--R 3cosh(x) - 12cosh(x) - 12 +--R * +--R +-----------+ +-----------+ +--R \|sech(x) - 1 \|sech(x) + 1 +--R Type: Expression Integer +--E 478 + +--S 479 of 508 +t0394:= (3-3*sech(x))^(1/2) +--R +--R +--R +--------------+ +--R (370) \|- 3sech(x) + 3 +--R Type: Expression Integer +--E 479 + +--S 480 of 508 +r0394:= 2*3^(1/2)*atan((-1-sech(x))^(1/2))*tanh(x)/(-1-sech(x))^(1/2)/(1-sech(x))^(1/2) +--R +--R +--R +-+ +-------------+ +--R 2\|3 tanh(x)atan(\|- sech(x) - 1 ) +--R (371) ---------------------------------- +--R +-------------+ +-------------+ +--R \|- sech(x) - 1 \|- sech(x) + 1 +--R Type: Expression Integer +--E 480 + +--S 481 of 508 +a0394:= integrate(t0394,x) +--R +--R +--R (372) +--R +-+ +--R \|3 +--R * +--R log +--R +-----------------------------------------+ +--R | 3 +-+ +--R |----------------------------------------- + \|3 sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +-+ +--R \|3 cosh(x) - \|3 +--R / +--R sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|3 +--R * +--R log +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) - 4cosh(x) - 1)sinh(x) - cosh(x) - 2cosh(x) +--R + +--R - cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 3 +-+ +-+ 2 +--R \|3 sinh(x) + (3\|3 cosh(x) + \|3 )sinh(x) +--R + +--R +-+ 2 +-+ +-+ +-+ 3 +--R (3\|3 cosh(x) + 2\|3 cosh(x) + \|3 )sinh(x) + \|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R \|3 cosh(x) + \|3 cosh(x) + 2\|3 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R Type: Union(Expression Integer,...) +--E 481 + +--S 482 of 508 +m0394:= a0394-r0394 +--R +--R +--R (373) +--R +-+ +-------------+ +-------------+ +--R \|3 \|- sech(x) - 1 \|- sech(x) + 1 +--R * +--R log +--R +-----------------------------------------+ +--R | 3 +-+ +--R |----------------------------------------- + \|3 sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +-+ +--R \|3 cosh(x) - \|3 +--R / +--R sinh(x) + cosh(x) +--R + +--R - +--R +-+ +-------------+ +-------------+ +--R \|3 \|- sech(x) - 1 \|- sech(x) + 1 +--R * +--R log +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - 2)sinh(x) +--R + +--R 2 3 +--R (- 3cosh(x) - 4cosh(x) - 1)sinh(x) - cosh(x) +--R + +--R 2 +--R - 2cosh(x) - cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 3 +-+ +-+ 2 +--R \|3 sinh(x) + (3\|3 cosh(x) + \|3 )sinh(x) +--R + +--R +-+ 2 +-+ +-+ +-+ 3 +--R (3\|3 cosh(x) + 2\|3 cosh(x) + \|3 )sinh(x) + \|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R \|3 cosh(x) + \|3 cosh(x) + 2\|3 +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +-+ +-------------+ +--R - 2\|3 tanh(x)atan(\|- sech(x) - 1 ) +--R / +--R +-------------+ +-------------+ +--R \|- sech(x) - 1 \|- sech(x) + 1 +--R Type: Expression Integer +--E 482 + +--S 483 of 508 +d0394:= D(m0394,x) +--R +--R +--R (374) +--R 6 5 2 4 +--R - 6sinh(x) - 36cosh(x)sinh(x) + (- 90cosh(x) + 6)sinh(x) +--R + +--R 3 3 +--R (- 120cosh(x) + 24cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 90cosh(x) + 36cosh(x) + 36)sinh(x) +--R + +--R 5 3 6 +--R (- 36cosh(x) + 24cosh(x) + 72cosh(x))sinh(x) - 6cosh(x) +--R + +--R 4 2 +--R 6cosh(x) + 36cosh(x) + 24 +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 +--R (- 6sech(x) + 6)sinh(x) +--R + +--R 2 5 +--R (- 36cosh(x)sech(x) + 36cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 90cosh(x) + 6)sech(x) + 90cosh(x) - 6)sinh(x) +--R + +--R 3 2 3 +--R ((- 120cosh(x) + 24cosh(x))sech(x) + 120cosh(x) - 24cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (- 90cosh(x) + 36cosh(x) + 36)sech(x) + 90cosh(x) +--R + +--R 2 +--R - 36cosh(x) - 36 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 36cosh(x) + 24cosh(x) + 72cosh(x))sech(x) + 36cosh(x) +--R + +--R 3 +--R - 24cosh(x) - 72cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (- 6cosh(x) + 6cosh(x) + 36cosh(x) + 24)sech(x) + 6cosh(x) +--R + +--R 4 2 +--R - 6cosh(x) - 36cosh(x) - 24 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 6 +-+ 5 +--R 6\|3 sinh(x) + 36\|3 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (90\|3 cosh(x) + 6\|3 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (120\|3 cosh(x) + 24\|3 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (90\|3 cosh(x) + 36\|3 cosh(x) - 24\|3 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (36\|3 cosh(x) + 24\|3 cosh(x) - 48\|3 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 6\|3 cosh(x) + 6\|3 cosh(x) - 24\|3 cosh(x) - 24\|3 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 2 +-+ 6 +--R (6\|3 sech(x) - 6\|3 )sinh(x) +--R + +--R +-+ 2 +-+ 5 +--R (36\|3 cosh(x)sech(x) - 36\|3 cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ 4 +--R ((90\|3 cosh(x) + 6\|3 )sech(x) - 90\|3 cosh(x) - 6\|3 )sinh(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (120\|3 cosh(x) + 24\|3 cosh(x))sech(x) - 120\|3 cosh(x) +--R + +--R +-+ +--R - 24\|3 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (90\|3 cosh(x) + 36\|3 cosh(x) - 24\|3 )sech(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 90\|3 cosh(x) - 36\|3 cosh(x) + 24\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (36\|3 cosh(x) + 24\|3 cosh(x) - 48\|3 cosh(x))sech(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 36\|3 cosh(x) - 24\|3 cosh(x) + 48\|3 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (6\|3 cosh(x) + 6\|3 cosh(x) - 24\|3 cosh(x) - 24\|3 )sech(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 6\|3 cosh(x) - 6\|3 cosh(x) + 24\|3 cosh(x) + 24\|3 +--R * +--R +-------------+ +--R atan(\|- sech(x) - 1 ) +--R + +--R 2 6 +--R (6sech(x) - 6)sinh(x) +--R + +--R 2 5 +--R ((36cosh(x) + 18)sech(x) - 36cosh(x) - 18)sinh(x) +--R + +--R 2 2 2 +--R (90cosh(x) + 90cosh(x) - 3)sech(x) - 90cosh(x) - 90cosh(x) +--R + +--R 3 +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 +--R (120cosh(x) + 180cosh(x) - 12cosh(x) + 30)sech(x) +--R + +--R 3 2 +--R - 120cosh(x) - 180cosh(x) + 12cosh(x) - 30 +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R (90cosh(x) + 180cosh(x) - 18cosh(x) + 90cosh(x) - 24) +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 2 +--R - 90cosh(x) - 180cosh(x) + 18cosh(x) - 90cosh(x) + 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 36cosh(x) + 90cosh(x) - 12cosh(x) + 90cosh(x) +--R + +--R - 48cosh(x) + 12 +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 3 2 +--R - 36cosh(x) - 90cosh(x) + 12cosh(x) - 90cosh(x) +--R + +--R 48cosh(x) - 12 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 6cosh(x) + 18cosh(x) - 3cosh(x) + 30cosh(x) - 24cosh(x) +--R + +--R 12cosh(x) - 12 +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 4 3 2 +--R - 6cosh(x) - 18cosh(x) + 3cosh(x) - 30cosh(x) + 24cosh(x) +--R + +--R - 12cosh(x) + 12 +--R * +--R +-------------+ +-------------+ +--R \|- sech(x) - 1 \|- sech(x) + 1 +--R + +--R 6 +--R (- 3sech(x) + 3)sinh(x) +--R + +--R 5 +--R (- 18cosh(x)sech(x) + 18cosh(x))sinh(x) +--R + +--R 2 2 4 +--R ((- 45cosh(x) + 3)sech(x) + 45cosh(x) - 3)sinh(x) +--R + +--R 3 3 +--R ((- 60cosh(x) + 12cosh(x))sech(x) + 60cosh(x) - 12cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 4 +--R (- 45cosh(x) + 18cosh(x) + 18)sech(x) + 45cosh(x) +--R + +--R 2 +--R - 18cosh(x) - 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 5 +--R (- 18cosh(x) + 12cosh(x) + 36cosh(x))sech(x) + 18cosh(x) +--R + +--R 3 +--R - 12cosh(x) - 36cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 6 +--R (- 3cosh(x) + 3cosh(x) + 18cosh(x) + 12)sech(x) + 3cosh(x) +--R + +--R 4 2 +--R - 3cosh(x) - 18cosh(x) - 12 +--R * +--R 2 +-------------+ +--R tanh(x) \|- sech(x) - 1 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ 2 +-+ 6 +--R (- 3\|3 sech(x) + 3\|3 )sinh(x) +--R + +--R +-+ +-+ 2 +-+ +-+ 5 +--R ((- 18\|3 cosh(x) - 6\|3 )sech(x) + 18\|3 cosh(x) + 6\|3 )sinh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +--R (- 45\|3 cosh(x) - 30\|3 cosh(x) - 3\|3 )sech(x) +--R + +--R +-+ 2 +-+ +-+ +--R 45\|3 cosh(x) + 30\|3 cosh(x) + 3\|3 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R (- 60\|3 cosh(x) - 60\|3 cosh(x) - 12\|3 cosh(x) - 24\|3 ) +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 60\|3 cosh(x) + 60\|3 cosh(x) + 12\|3 cosh(x) + 24\|3 +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 45\|3 cosh(x) - 60\|3 cosh(x) - 18\|3 cosh(x) +--R + +--R +-+ +-+ +--R - 72\|3 cosh(x) + 18\|3 +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +-+ +--R 45\|3 cosh(x) + 60\|3 cosh(x) + 18\|3 cosh(x) + 72\|3 cosh(x) +--R + +--R +-+ +--R - 18\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 18\|3 cosh(x) - 30\|3 cosh(x) - 12\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 72\|3 cosh(x) + 36\|3 cosh(x) - 12\|3 +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +-+ 2 +--R 18\|3 cosh(x) + 30\|3 cosh(x) + 12\|3 cosh(x) + 72\|3 cosh(x) +--R + +--R +-+ +-+ +--R - 36\|3 cosh(x) + 12\|3 +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +-+ 3 +--R - 3\|3 cosh(x) - 6\|3 cosh(x) - 3\|3 cosh(x) - 24\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 18\|3 cosh(x) - 12\|3 cosh(x) + 12\|3 +--R * +--R 2 +--R sech(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +-+ 3 +--R 3\|3 cosh(x) + 6\|3 cosh(x) + 3\|3 cosh(x) + 24\|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 18\|3 cosh(x) + 12\|3 cosh(x) - 12\|3 +--R * +--R +-------------+ +-------------+ +--R \|- sech(x) - 1 \|- sech(x) + 1 +--R + +--R +-+ +-+ 6 +--R (3\|3 sech(x) - 3\|3 )sinh(x) +--R + +--R +-+ +-+ 5 +--R (18\|3 cosh(x)sech(x) - 18\|3 cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ 4 +--R ((45\|3 cosh(x) + 3\|3 )sech(x) - 45\|3 cosh(x) - 3\|3 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 3 +--R (60\|3 cosh(x) + 12\|3 cosh(x))sech(x) - 60\|3 cosh(x) +--R + +--R +-+ +--R - 12\|3 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (45\|3 cosh(x) + 18\|3 cosh(x) - 12\|3 )sech(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 45\|3 cosh(x) - 18\|3 cosh(x) + 12\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (18\|3 cosh(x) + 12\|3 cosh(x) - 24\|3 cosh(x))sech(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 18\|3 cosh(x) - 12\|3 cosh(x) + 24\|3 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (3\|3 cosh(x) + 3\|3 cosh(x) - 12\|3 cosh(x) - 12\|3 )sech(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 3\|3 cosh(x) - 3\|3 cosh(x) + 12\|3 cosh(x) + 12\|3 +--R * +--R 2 +-------------+ +--R tanh(x) \|- sech(x) - 1 +--R / +--R +-+ 2 +-+ 6 +--R (\|3 sech(x) - \|3 )sinh(x) +--R + +--R +-+ 2 +-+ 5 +--R (6\|3 cosh(x)sech(x) - 6\|3 cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ 4 +--R ((15\|3 cosh(x) - \|3 )sech(x) - 15\|3 cosh(x) + \|3 )sinh(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (20\|3 cosh(x) - 4\|3 cosh(x))sech(x) - 20\|3 cosh(x) +--R + +--R +-+ +--R 4\|3 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +-+ 4 +--R (15\|3 cosh(x) - 6\|3 cosh(x) - 6\|3 )sech(x) - 15\|3 cosh(x) +--R + +--R +-+ 2 +-+ +--R 6\|3 cosh(x) + 6\|3 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (6\|3 cosh(x) - 4\|3 cosh(x) - 12\|3 cosh(x))sech(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 6\|3 cosh(x) + 4\|3 cosh(x) + 12\|3 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (\|3 cosh(x) - \|3 cosh(x) - 6\|3 cosh(x) - 4\|3 )sech(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - \|3 cosh(x) + \|3 cosh(x) + 6\|3 cosh(x) + 4\|3 +--R * +--R +-------------+ +-------------+ +--R \|- sech(x) - 1 \|- sech(x) + 1 +--R * +--R +-----------------------------------------+ +--R | 3 +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 2 5 +--R (- 3sech(x) + 3)sinh(x) + (- 18cosh(x)sech(x) + 18cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 45cosh(x) - 3)sech(x) + 45cosh(x) + 3)sinh(x) +--R + +--R 3 2 3 3 +--R ((- 60cosh(x) - 12cosh(x))sech(x) + 60cosh(x) + 12cosh(x))sinh(x) +--R + +--R 4 2 2 4 +--R (- 45cosh(x) - 18cosh(x) + 12)sech(x) + 45cosh(x) +--R + +--R 2 +--R 18cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 18cosh(x) - 12cosh(x) + 24cosh(x))sech(x) + 18cosh(x) +--R + +--R 3 +--R 12cosh(x) - 24cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (- 3cosh(x) - 3cosh(x) + 12cosh(x) + 12)sech(x) + 3cosh(x) +--R + +--R 4 2 +--R 3cosh(x) - 12cosh(x) - 12 +--R * +--R +-------------+ +-------------+ +--R \|- sech(x) - 1 \|- sech(x) + 1 +--R Type: Expression Integer +--E 483 + +--S 484 of 508 +t0395:= (a+a*sech(x))^(1/2) +--R +--R +--R +-------------+ +--R (375) \|a sech(x) + a +--R Type: Expression Integer +--E 484 + +--S 485 of 508 +r0395:= 2*a*atan((-1+sech(x))^(1/2))*tanh(x)/(-1+sech(x))^(1/2)/(a+a*sech(x))^(1/2) +--R +--R +--R +-----------+ +--R 2a tanh(x)atan(\|sech(x) - 1 ) +--R (376) ------------------------------ +--R +-----------+ +-------------+ +--R \|sech(x) - 1 \|a sech(x) + a +--R Type: Expression Integer +--E 485 + +--S 486 of 508 +a0395:= integrate(t0395,x) +--R +--R +--R (377) +--R - +--R +-+ +--R \|a +--R * +--R log +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +--R (- sinh(x) - cosh(x) - 1)\|a +--R / +--R sinh(x) + cosh(x) +--R + +--R +-+ +--R \|a +--R * +--R log +--R 3 2 +--R sinh(x) + (3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 1)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R - sinh(x) + (- 3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) + 2cosh(x) - 1)sinh(x) - cosh(x) + cosh(x) +--R + +--R - cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R Type: Union(Expression Integer,...) +--E 486 + +--S 487 of 508 +m0395:= a0395-r0395 +--R +--R +--R (378) +--R - +--R +-+ +-----------+ +-------------+ +--R \|a \|sech(x) - 1 \|a sech(x) + a +--R * +--R log +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +--R (- sinh(x) - cosh(x) - 1)\|a +--R / +--R sinh(x) + cosh(x) +--R + +--R +-+ +-----------+ +-------------+ +--R \|a \|sech(x) - 1 \|a sech(x) + a +--R * +--R log +--R 3 2 +--R sinh(x) + (3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 1)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R - sinh(x) + (- 3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) + 2cosh(x) - 1)sinh(x) - cosh(x) + cosh(x) +--R + +--R - cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +-----------+ +--R - 2a tanh(x)atan(\|sech(x) - 1 ) +--R / +--R +-----------+ +-------------+ +--R \|sech(x) - 1 \|a sech(x) + a +--R Type: Expression Integer +--E 487 + +--S 488 of 508 +d0395:= D(m0395,x) +--R +--R +--R (379) +--R 6 5 +--R - 2a sinh(x) - 12a cosh(x)sinh(x) +--R + +--R 2 4 +--R (- 30a cosh(x) + 2a)sinh(x) +--R + +--R 3 3 +--R (- 40a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 30a cosh(x) + 12a cosh(x) + 12a)sinh(x) +--R + +--R 5 3 +--R (- 12a cosh(x) + 8a cosh(x) + 24a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 2a cosh(x) + 2a cosh(x) + 12a cosh(x) + 8a +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 +--R (- 2a sech(x) + 2a)sinh(x) +--R + +--R 2 5 +--R (- 12a cosh(x)sech(x) + 12a cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 30a cosh(x) + 2a)sech(x) + 30a cosh(x) - 2a)sinh(x) +--R + +--R 3 2 3 +--R (- 40a cosh(x) + 8a cosh(x))sech(x) + 40a cosh(x) +--R + +--R - 8a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (- 30a cosh(x) + 12a cosh(x) + 12a)sech(x) + 30a cosh(x) +--R + +--R 2 +--R - 12a cosh(x) - 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 +--R (- 12a cosh(x) + 8a cosh(x) + 24a cosh(x))sech(x) +--R + +--R 5 3 +--R 12a cosh(x) - 8a cosh(x) - 24a cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 +--R (- 2a cosh(x) + 2a cosh(x) + 12a cosh(x) + 8a)sech(x) +--R + +--R 6 4 2 +--R 2a cosh(x) - 2a cosh(x) - 12a cosh(x) - 8a +--R * +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 2 5 2 2 2 4 +--R 2a sinh(x) + 12a cosh(x)sinh(x) + (30a cosh(x) + 2a )sinh(x) +--R + +--R 2 3 2 3 +--R (40a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (30a cosh(x) + 12a cosh(x) - 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 6 +--R (12a cosh(x) + 8a cosh(x) - 16a cosh(x))sinh(x) + 2a cosh(x) +--R + +--R 2 4 2 2 2 +--R 2a cosh(x) - 8a cosh(x) - 8a +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 2 6 +--R (2a sech(x) - 2a )sinh(x) +--R + +--R 2 2 2 5 +--R (12a cosh(x)sech(x) - 12a cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 2 4 +--R ((30a cosh(x) + 2a )sech(x) - 30a cosh(x) - 2a )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R ((40a cosh(x) + 8a cosh(x))sech(x) - 40a cosh(x) - 8a cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 2 2 4 +--R (30a cosh(x) + 12a cosh(x) - 8a )sech(x) - 30a cosh(x) +--R + +--R 2 2 2 +--R - 12a cosh(x) + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 2 2 5 +--R (12a cosh(x) + 8a cosh(x) - 16a cosh(x))sech(x) - 12a cosh(x) +--R + +--R 2 3 2 +--R - 8a cosh(x) + 16a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 2 2 6 +--R (2a cosh(x) + 2a cosh(x) - 8a cosh(x) - 8a )sech(x) - 2a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 2a cosh(x) + 8a cosh(x) + 8a +--R * +--R +-----------+ +--R atan(\|sech(x) - 1 ) +--R + +--R 2 6 +--R (- 2a sech(x) + 2a)sinh(x) +--R + +--R 2 5 +--R ((- 12a cosh(x) + 6a)sech(x) + 12a cosh(x) - 6a)sinh(x) +--R + +--R 2 2 2 +--R (- 30a cosh(x) + 30a cosh(x) + a)sech(x) + 30a cosh(x) +--R + +--R - 30a cosh(x) - a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 +--R (- 40a cosh(x) + 60a cosh(x) + 4a cosh(x) + 10a)sech(x) +--R + +--R 3 2 +--R 40a cosh(x) - 60a cosh(x) - 4a cosh(x) - 10a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R - 30a cosh(x) + 60a cosh(x) + 6a cosh(x) + 30a cosh(x) +--R + +--R 8a +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 2 +--R 30a cosh(x) - 60a cosh(x) - 6a cosh(x) - 30a cosh(x) - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 +--R - 12a cosh(x) + 30a cosh(x) + 4a cosh(x) +--R + +--R 2 +--R 30a cosh(x) + 16a cosh(x) + 4a +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 3 2 +--R 12a cosh(x) - 30a cosh(x) - 4a cosh(x) - 30a cosh(x) +--R + +--R - 16a cosh(x) - 4a +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 2a cosh(x) + 6a cosh(x) + a cosh(x) + 10a cosh(x) +--R + +--R 2 +--R 8a cosh(x) + 4a cosh(x) + 4a +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 4 3 +--R 2a cosh(x) - 6a cosh(x) - a cosh(x) - 10a cosh(x) +--R + +--R 2 +--R - 8a cosh(x) - 4a cosh(x) - 4a +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 +--R (a sech(x) - a)sinh(x) +--R + +--R 2 5 +--R ((6a cosh(x) - 2a)sech(x) - 6a cosh(x) + 2a)sinh(x) +--R + +--R 2 2 2 +--R (15a cosh(x) - 10a cosh(x) + a)sech(x) - 15a cosh(x) +--R + +--R 10a cosh(x) - a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 +--R (20a cosh(x) - 20a cosh(x) + 4a cosh(x) - 8a)sech(x) +--R + +--R 3 2 +--R - 20a cosh(x) + 20a cosh(x) - 4a cosh(x) + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R 15a cosh(x) - 20a cosh(x) + 6a cosh(x) - 24a cosh(x) +--R + +--R - 6a +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 2 +--R - 15a cosh(x) + 20a cosh(x) - 6a cosh(x) + 24a cosh(x) + 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 6a cosh(x) - 10a cosh(x) + 4a cosh(x) - 24a cosh(x) +--R + +--R - 12a cosh(x) - 4a +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 3 2 +--R - 6a cosh(x) + 10a cosh(x) - 4a cosh(x) + 24a cosh(x) +--R + +--R 12a cosh(x) + 4a +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R a cosh(x) - 2a cosh(x) + a cosh(x) - 8a cosh(x) +--R + +--R 2 +--R - 6a cosh(x) - 4a cosh(x) - 4a +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 4 3 +--R - a cosh(x) + 2a cosh(x) - a cosh(x) + 8a cosh(x) +--R + +--R 2 +--R 6a cosh(x) + 4a cosh(x) + 4a +--R * +--R +-+ +--R \|a +--R * +--R +-----------+ +-------------+ +--R \|sech(x) - 1 \|a sech(x) + a +--R + +--R 6 +--R (a sech(x) + a)sinh(x) +--R + +--R 5 +--R (6a cosh(x)sech(x) + 6a cosh(x))sinh(x) +--R + +--R 2 2 4 +--R ((15a cosh(x) - a)sech(x) + 15a cosh(x) - a)sinh(x) +--R + +--R 3 3 +--R (20a cosh(x) - 4a cosh(x))sech(x) + 20a cosh(x) +--R + +--R - 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 4 +--R (15a cosh(x) - 6a cosh(x) - 6a)sech(x) + 15a cosh(x) +--R + +--R 2 +--R - 6a cosh(x) - 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R (6a cosh(x) - 4a cosh(x) - 12a cosh(x))sech(x) +--R + +--R 5 3 +--R 6a cosh(x) - 4a cosh(x) - 12a cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 6 +--R (a cosh(x) - a cosh(x) - 6a cosh(x) - 4a)sech(x) + a cosh(x) +--R + +--R 4 2 +--R - a cosh(x) - 6a cosh(x) - 4a +--R * +--R +-----------------------------------------+ +--R 2 +-+ | a +--R tanh(x) \|a |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 2 6 +--R (- a sech(x) - a )sinh(x) +--R + +--R 2 2 5 +--R (- 6a cosh(x)sech(x) - 6a cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 4 +--R ((- 15a cosh(x) - a )sech(x) - 15a cosh(x) - a )sinh(x) +--R + +--R 2 3 2 2 3 +--R (- 20a cosh(x) - 4a cosh(x))sech(x) - 20a cosh(x) +--R + +--R 2 +--R - 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 2 4 +--R (- 15a cosh(x) - 6a cosh(x) + 4a )sech(x) - 15a cosh(x) +--R + +--R 2 2 2 +--R - 6a cosh(x) + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 +--R (- 6a cosh(x) - 4a cosh(x) + 8a cosh(x))sech(x) +--R + +--R 2 5 2 3 2 +--R - 6a cosh(x) - 4a cosh(x) + 8a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R (- a cosh(x) - a cosh(x) + 4a cosh(x) + 4a )sech(x) +--R + +--R 2 6 2 4 2 2 2 +--R - a cosh(x) - a cosh(x) + 4a cosh(x) + 4a +--R * +--R 2 +--R tanh(x) +--R * +--R +-----------+ +--R \|sech(x) - 1 +--R / +--R 2 6 2 5 +--R (sech(x) - 1)sinh(x) + (6cosh(x)sech(x) - 6cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((15cosh(x) - 1)sech(x) - 15cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 3 +--R ((20cosh(x) - 4cosh(x))sech(x) - 20cosh(x) + 4cosh(x))sinh(x) +--R + +--R 4 2 2 4 2 +--R (15cosh(x) - 6cosh(x) - 6)sech(x) - 15cosh(x) + 6cosh(x) +--R + +--R 6 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (6cosh(x) - 4cosh(x) - 12cosh(x))sech(x) - 6cosh(x) +--R + +--R 3 +--R 4cosh(x) + 12cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 4 +--R (cosh(x) - cosh(x) - 6cosh(x) - 4)sech(x) - cosh(x) + cosh(x) +--R + +--R 2 +--R 6cosh(x) + 4 +--R * +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 +--R (- a sech(x) + a)sinh(x) +--R + +--R 2 5 +--R (- 6a cosh(x)sech(x) + 6a cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 15a cosh(x) - a)sech(x) + 15a cosh(x) + a)sinh(x) +--R + +--R 3 2 3 +--R ((- 20a cosh(x) - 4a cosh(x))sech(x) + 20a cosh(x) + 4a cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (- 15a cosh(x) - 6a cosh(x) + 4a)sech(x) + 15a cosh(x) +--R + +--R 2 +--R 6a cosh(x) - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 6a cosh(x) - 4a cosh(x) + 8a cosh(x))sech(x) + 6a cosh(x) +--R + +--R 3 +--R 4a cosh(x) - 8a cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (- a cosh(x) - a cosh(x) + 4a cosh(x) + 4a)sech(x) + a cosh(x) +--R + +--R 4 2 +--R a cosh(x) - 4a cosh(x) - 4a +--R * +--R +-----------+ +-------------+ +--R \|sech(x) - 1 \|a sech(x) + a +--R Type: Expression Integer +--E 488 + +--S 489 of 508 +t0396:= (a-a*sech(x))^(1/2) +--R +--R +--R +---------------+ +--R (380) \|- a sech(x) + a +--R Type: Expression Integer +--E 489 + +--S 490 of 508 +r0396:= 2*a*atan((-1-sech(x))^(1/2))*tanh(x)/(-1-sech(x))^(1/2)/(a-a*sech(x))^(1/2) +--R +--R +--R +-------------+ +--R 2a tanh(x)atan(\|- sech(x) - 1 ) +--R (381) ---------------------------------- +--R +---------------+ +-------------+ +--R \|- a sech(x) + a \|- sech(x) - 1 +--R Type: Expression Integer +--E 490 + +--S 491 of 508 +a0396:= integrate(t0396,x) +--R +--R +--R (382) +--R +-+ +--R \|a +--R * +--R log +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +--R (sinh(x) + cosh(x) - 1)\|a +--R / +--R sinh(x) + cosh(x) +--R + +--R - +--R +-+ +--R \|a +--R * +--R log +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) - 4cosh(x) - 1)sinh(x) - cosh(x) - 2cosh(x) +--R + +--R - cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R sinh(x) + (3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) + 2cosh(x) + 1)sinh(x) + cosh(x) + cosh(x) +--R + +--R cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R Type: Union(Expression Integer,...) +--E 491 + +--S 492 of 508 +m0396:= a0396-r0396 +--R +--R +--R (383) +--R +-+ +---------------+ +-------------+ +--R \|a \|- a sech(x) + a \|- sech(x) - 1 +--R * +--R log +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R +-+ +--R (sinh(x) + cosh(x) - 1)\|a +--R / +--R sinh(x) + cosh(x) +--R + +--R - +--R +-+ +---------------+ +-------------+ +--R \|a \|- a sech(x) + a \|- sech(x) - 1 +--R * +--R log +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - 2)sinh(x) +--R + +--R 2 3 +--R (- 3cosh(x) - 4cosh(x) - 1)sinh(x) - cosh(x) +--R + +--R 2 +--R - 2cosh(x) - cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R sinh(x) + (3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) + 2cosh(x) + 1)sinh(x) + cosh(x) + cosh(x) +--R + +--R cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +-------------+ +--R - 2a tanh(x)atan(\|- sech(x) - 1 ) +--R / +--R +---------------+ +-------------+ +--R \|- a sech(x) + a \|- sech(x) - 1 +--R Type: Expression Integer +--E 492 + +--S 493 of 508 +d0396:= D(m0396,x) +--R +--R +--R (384) +--R 6 5 +--R - 2a sinh(x) - 12a cosh(x)sinh(x) +--R + +--R 2 4 +--R (- 30a cosh(x) + 2a)sinh(x) +--R + +--R 3 3 +--R (- 40a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 30a cosh(x) + 12a cosh(x) + 12a)sinh(x) +--R + +--R 5 3 +--R (- 12a cosh(x) + 8a cosh(x) + 24a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 2a cosh(x) + 2a cosh(x) + 12a cosh(x) + 8a +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 +--R (- 2a sech(x) + 2a)sinh(x) +--R + +--R 2 5 +--R (- 12a cosh(x)sech(x) + 12a cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 30a cosh(x) + 2a)sech(x) + 30a cosh(x) - 2a)sinh(x) +--R + +--R 3 2 3 +--R (- 40a cosh(x) + 8a cosh(x))sech(x) + 40a cosh(x) +--R + +--R - 8a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (- 30a cosh(x) + 12a cosh(x) + 12a)sech(x) + 30a cosh(x) +--R + +--R 2 +--R - 12a cosh(x) - 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 +--R (- 12a cosh(x) + 8a cosh(x) + 24a cosh(x))sech(x) +--R + +--R 5 3 +--R 12a cosh(x) - 8a cosh(x) - 24a cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 +--R (- 2a cosh(x) + 2a cosh(x) + 12a cosh(x) + 8a)sech(x) +--R + +--R 6 4 2 +--R 2a cosh(x) - 2a cosh(x) - 12a cosh(x) - 8a +--R * +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 2 5 2 2 2 4 +--R 2a sinh(x) + 12a cosh(x)sinh(x) + (30a cosh(x) + 2a )sinh(x) +--R + +--R 2 3 2 3 +--R (40a cosh(x) + 8a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (30a cosh(x) + 12a cosh(x) - 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 6 +--R (12a cosh(x) + 8a cosh(x) - 16a cosh(x))sinh(x) + 2a cosh(x) +--R + +--R 2 4 2 2 2 +--R 2a cosh(x) - 8a cosh(x) - 8a +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 2 6 +--R (2a sech(x) - 2a )sinh(x) +--R + +--R 2 2 2 5 +--R (12a cosh(x)sech(x) - 12a cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 2 4 +--R ((30a cosh(x) + 2a )sech(x) - 30a cosh(x) - 2a )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R ((40a cosh(x) + 8a cosh(x))sech(x) - 40a cosh(x) - 8a cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 2 2 4 +--R (30a cosh(x) + 12a cosh(x) - 8a )sech(x) - 30a cosh(x) +--R + +--R 2 2 2 +--R - 12a cosh(x) + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 2 2 5 +--R (12a cosh(x) + 8a cosh(x) - 16a cosh(x))sech(x) - 12a cosh(x) +--R + +--R 2 3 2 +--R - 8a cosh(x) + 16a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 2 2 6 +--R (2a cosh(x) + 2a cosh(x) - 8a cosh(x) - 8a )sech(x) - 2a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 2a cosh(x) + 8a cosh(x) + 8a +--R * +--R +-------------+ +--R atan(\|- sech(x) - 1 ) +--R + +--R 2 6 +--R (2a sech(x) - 2a)sinh(x) +--R + +--R 2 5 +--R ((12a cosh(x) + 6a)sech(x) - 12a cosh(x) - 6a)sinh(x) +--R + +--R 2 2 2 +--R (30a cosh(x) + 30a cosh(x) - a)sech(x) - 30a cosh(x) +--R + +--R - 30a cosh(x) + a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 +--R (40a cosh(x) + 60a cosh(x) - 4a cosh(x) + 10a)sech(x) +--R + +--R 3 2 +--R - 40a cosh(x) - 60a cosh(x) + 4a cosh(x) - 10a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R 30a cosh(x) + 60a cosh(x) - 6a cosh(x) + 30a cosh(x) +--R + +--R - 8a +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 2 +--R - 30a cosh(x) - 60a cosh(x) + 6a cosh(x) - 30a cosh(x) + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 12a cosh(x) + 30a cosh(x) - 4a cosh(x) + 30a cosh(x) +--R + +--R - 16a cosh(x) + 4a +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 3 2 +--R - 12a cosh(x) - 30a cosh(x) + 4a cosh(x) - 30a cosh(x) +--R + +--R 16a cosh(x) - 4a +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R 2a cosh(x) + 6a cosh(x) - a cosh(x) + 10a cosh(x) +--R + +--R 2 +--R - 8a cosh(x) + 4a cosh(x) - 4a +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 4 3 +--R - 2a cosh(x) - 6a cosh(x) + a cosh(x) - 10a cosh(x) +--R + +--R 2 +--R 8a cosh(x) - 4a cosh(x) + 4a +--R * +--R +---------------+ +--R \|- a sech(x) + a +--R + +--R 6 +--R (- a sech(x) + a)sinh(x) +--R + +--R 5 +--R (- 6a cosh(x)sech(x) + 6a cosh(x))sinh(x) +--R + +--R 2 2 4 +--R ((- 15a cosh(x) + a)sech(x) + 15a cosh(x) - a)sinh(x) +--R + +--R 3 3 +--R (- 20a cosh(x) + 4a cosh(x))sech(x) + 20a cosh(x) +--R + +--R - 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 4 +--R (- 15a cosh(x) + 6a cosh(x) + 6a)sech(x) + 15a cosh(x) +--R + +--R 2 +--R - 6a cosh(x) - 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R (- 6a cosh(x) + 4a cosh(x) + 12a cosh(x))sech(x) +--R + +--R 5 3 +--R 6a cosh(x) - 4a cosh(x) - 12a cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 +--R (- a cosh(x) + a cosh(x) + 6a cosh(x) + 4a)sech(x) +--R + +--R 6 4 2 +--R a cosh(x) - a cosh(x) - 6a cosh(x) - 4a +--R * +--R 2 +-+ +--R tanh(x) \|a +--R * +--R +-----------------------------------------+ +--R +-------------+ | a +--R \|- sech(x) - 1 |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 +--R (- a sech(x) + a)sinh(x) +--R + +--R 2 5 +--R ((- 6a cosh(x) - 2a)sech(x) + 6a cosh(x) + 2a)sinh(x) +--R + +--R 2 2 2 +--R (- 15a cosh(x) - 10a cosh(x) - a)sech(x) + 15a cosh(x) +--R + +--R 10a cosh(x) + a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 +--R (- 20a cosh(x) - 20a cosh(x) - 4a cosh(x) - 8a)sech(x) +--R + +--R 3 2 +--R 20a cosh(x) + 20a cosh(x) + 4a cosh(x) + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R - 15a cosh(x) - 20a cosh(x) - 6a cosh(x) - 24a cosh(x) +--R + +--R 6a +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 2 +--R 15a cosh(x) + 20a cosh(x) + 6a cosh(x) + 24a cosh(x) - 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 6a cosh(x) - 10a cosh(x) - 4a cosh(x) - 24a cosh(x) +--R + +--R 12a cosh(x) - 4a +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 3 2 +--R 6a cosh(x) + 10a cosh(x) + 4a cosh(x) + 24a cosh(x) +--R + +--R - 12a cosh(x) + 4a +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R - a cosh(x) - 2a cosh(x) - a cosh(x) - 8a cosh(x) +--R + +--R 2 +--R 6a cosh(x) - 4a cosh(x) + 4a +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 4 3 2 +--R a cosh(x) + 2a cosh(x) + a cosh(x) + 8a cosh(x) - 6a cosh(x) +--R + +--R 4a cosh(x) - 4a +--R * +--R +-+ +---------------+ +--R \|a \|- a sech(x) + a +--R + +--R 2 2 6 +--R (a sech(x) - a )sinh(x) +--R + +--R 2 2 5 +--R (6a cosh(x)sech(x) - 6a cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 4 +--R ((15a cosh(x) + a )sech(x) - 15a cosh(x) - a )sinh(x) +--R + +--R 2 3 2 2 3 +--R (20a cosh(x) + 4a cosh(x))sech(x) - 20a cosh(x) +--R + +--R 2 +--R - 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 2 2 4 +--R (15a cosh(x) + 6a cosh(x) - 4a )sech(x) - 15a cosh(x) +--R + +--R 2 2 2 +--R - 6a cosh(x) + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 2 5 +--R (6a cosh(x) + 4a cosh(x) - 8a cosh(x))sech(x) - 6a cosh(x) +--R + +--R 2 3 2 +--R - 4a cosh(x) + 8a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 4 2 2 2 2 6 +--R (a cosh(x) + a cosh(x) - 4a cosh(x) - 4a )sech(x) - a cosh(x) +--R + +--R 2 4 2 2 2 +--R - a cosh(x) + 4a cosh(x) + 4a +--R * +--R 2 +--R tanh(x) +--R * +--R +-------------+ +--R \|- sech(x) - 1 +--R / +--R 2 6 2 5 +--R (sech(x) - 1)sinh(x) + (6cosh(x)sech(x) - 6cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((15cosh(x) - 1)sech(x) - 15cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 3 +--R ((20cosh(x) - 4cosh(x))sech(x) - 20cosh(x) + 4cosh(x))sinh(x) +--R + +--R 4 2 2 4 2 +--R ((15cosh(x) - 6cosh(x) - 6)sech(x) - 15cosh(x) + 6cosh(x) + 6) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (6cosh(x) - 4cosh(x) - 12cosh(x))sech(x) - 6cosh(x) +--R + +--R 3 +--R 4cosh(x) + 12cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 4 +--R (cosh(x) - cosh(x) - 6cosh(x) - 4)sech(x) - cosh(x) + cosh(x) +--R + +--R 2 +--R 6cosh(x) + 4 +--R * +--R +-+ +---------------+ +-------------+ +--R \|a \|- a sech(x) + a \|- sech(x) - 1 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 2 6 +--R (- a sech(x) + a)sinh(x) +--R + +--R 2 5 +--R (- 6a cosh(x)sech(x) + 6a cosh(x))sinh(x) +--R + +--R 2 2 2 4 +--R ((- 15a cosh(x) - a)sech(x) + 15a cosh(x) + a)sinh(x) +--R + +--R 3 2 3 +--R ((- 20a cosh(x) - 4a cosh(x))sech(x) + 20a cosh(x) + 4a cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 4 +--R (- 15a cosh(x) - 6a cosh(x) + 4a)sech(x) + 15a cosh(x) +--R + +--R 2 +--R 6a cosh(x) - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 2 5 +--R (- 6a cosh(x) - 4a cosh(x) + 8a cosh(x))sech(x) + 6a cosh(x) +--R + +--R 3 +--R 4a cosh(x) - 8a cosh(x) +--R * +--R sinh(x) +--R + +--R 6 4 2 2 6 +--R (- a cosh(x) - a cosh(x) + 4a cosh(x) + 4a)sech(x) + a cosh(x) +--R + +--R 4 2 +--R a cosh(x) - 4a cosh(x) - 4a +--R * +--R +---------------+ +-------------+ +--R \|- a sech(x) + a \|- sech(x) - 1 +--R Type: Expression Integer +--E 493 + +--S 494 of 508 +t0397:= 1/(a+a*sech(x))^(1/2) +--R +--R +--R 1 +--R (385) ---------------- +--R +-------------+ +--R \|a sech(x) + a +--R Type: Expression Integer +--E 494 + +--S 495 of 508 +r0397:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a+a*sech(x))^(1/2))+2*atan((-a+a*sech(x))^(1/2)/a^(1/2)))*coth(x)*(-a+a*sech(x))^(1/2)*(a+a*sech(x))^(1/2)/a^(3/2) +--R +--R +--R (386) +--R +-------------+ +--R +-------------+ +-------------+ \|a sech(x) - a +--R - 2coth(x)\|a sech(x) - a \|a sech(x) + a atan(----------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +-------------+ +-------------+ \|2 \|a +--R - \|2 coth(x)\|a sech(x) - a \|a sech(x) + a atan(----------------) +--R +-------------+ +--R \|a sech(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 495 + +--S 496 of 508 +a0397:= integrate(t0397,x) +--R +--R +--R (387) +--R - +--R log +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- - a sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R - a cosh(x) - a +--R / +--R sinh(x) + cosh(x) +--R + +--R log +--R 3 2 +--R sinh(x) + (3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 1)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R - sinh(x) + (- 3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) + 2cosh(x) - 1)sinh(x) - cosh(x) + cosh(x) +--R + +--R - cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +-+ +--R |2 +-+ +--R |- \|a +--R \|a +--R * +--R log +--R 7 6 +--R - 2sinh(x) + (- 14cosh(x) - 12)sinh(x) +--R + +--R 2 5 +--R (- 42cosh(x) - 72cosh(x) - 10)sinh(x) +--R + +--R 3 2 4 +--R (- 70cosh(x) - 180cosh(x) - 50cosh(x) - 24)sinh(x) +--R + +--R 4 3 2 +--R - 70cosh(x) - 240cosh(x) - 100cosh(x) - 96cosh(x) +--R + +--R - 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 +--R - 42cosh(x) - 180cosh(x) - 100cosh(x) +--R + +--R 2 +--R - 144cosh(x) - 48cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 14cosh(x) - 72cosh(x) - 50cosh(x) - 96cosh(x) +--R + +--R 2 +--R - 48cosh(x) - 24cosh(x) - 8 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 2cosh(x) - 12cosh(x) - 10cosh(x) - 24cosh(x) +--R + +--R 3 2 +--R - 16cosh(x) - 12cosh(x) - 8cosh(x) +--R * +--R +-+ +--R |2 +-+ +--R |- \|a +--R \|a +--R + +--R 7 6 +--R - 4sinh(x) + (- 28cosh(x) - 12)sinh(x) +--R + +--R 2 5 +--R (- 84cosh(x) - 72cosh(x) - 20)sinh(x) +--R + +--R 3 2 4 +--R (- 140cosh(x) - 180cosh(x) - 100cosh(x) - 28)sinh(x) +--R + +--R 4 3 2 +--R - 140cosh(x) - 240cosh(x) - 200cosh(x) - 112cosh(x) +--R + +--R - 32 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 84cosh(x) - 180cosh(x) - 200cosh(x) - 168cosh(x) +--R + +--R - 96cosh(x) - 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 28cosh(x) - 72cosh(x) - 100cosh(x) - 112cosh(x) +--R + +--R 2 +--R - 96cosh(x) - 48cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 4cosh(x) - 12cosh(x) - 20cosh(x) - 28cosh(x) +--R + +--R 3 2 +--R - 32cosh(x) - 24cosh(x) - 16cosh(x) - 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R - 3sinh(x) + (- 24cosh(x) + 4)sinh(x) +--R + +--R 2 6 +--R (- 84cosh(x) + 28cosh(x))sinh(x) +--R + +--R 3 2 5 +--R (- 168cosh(x) + 84cosh(x) + 12)sinh(x) +--R + +--R 4 3 4 +--R (- 210cosh(x) + 140cosh(x) + 60cosh(x) + 16)sinh(x) +--R + +--R 5 4 2 +--R - 168cosh(x) + 140cosh(x) + 120cosh(x) + 64cosh(x) +--R + +--R 24 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 3 2 +--R - 84cosh(x) + 84cosh(x) + 120cosh(x) + 96cosh(x) +--R + +--R 72cosh(x) + 20 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 4 3 +--R - 24cosh(x) + 28cosh(x) + 60cosh(x) + 64cosh(x) +--R + +--R 2 +--R 72cosh(x) + 40cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 5 4 +--R - 3cosh(x) + 4cosh(x) + 12cosh(x) + 16cosh(x) +--R + +--R 3 2 +--R 24cosh(x) + 20cosh(x) + 16cosh(x) + 8 +--R * +--R +-+ +--R \|a +--R + +--R 8 7 +--R - 2a sinh(x) + (- 16a cosh(x) + 2a)sinh(x) +--R + +--R 2 6 +--R (- 56a cosh(x) + 14a cosh(x) + 2a)sinh(x) +--R + +--R 3 2 5 +--R (- 112a cosh(x) + 42a cosh(x) + 12a cosh(x) + 6a)sinh(x) +--R + +--R 4 3 2 +--R - 140a cosh(x) + 70a cosh(x) + 30a cosh(x) +--R + +--R 30a cosh(x) + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 +--R - 112a cosh(x) + 70a cosh(x) + 40a cosh(x) +--R + +--R 2 +--R 60a cosh(x) + 64a cosh(x) + 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 +--R - 56a cosh(x) + 42a cosh(x) + 30a cosh(x) +--R + +--R 3 2 +--R 60a cosh(x) + 96a cosh(x) + 36a cosh(x) + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 +--R - 16a cosh(x) + 14a cosh(x) + 12a cosh(x) +--R + +--R 4 3 2 +--R 30a cosh(x) + 64a cosh(x) + 36a cosh(x) + 24a cosh(x) +--R + +--R 8a +--R * +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2a cosh(x) + 2a cosh(x) + 2a cosh(x) + 6a cosh(x) +--R + +--R 4 3 2 +--R 16a cosh(x) + 12a cosh(x) + 12a cosh(x) + 8a cosh(x) +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 7 6 +--R 4sinh(x) + (28cosh(x) - 4)sinh(x) +--R + +--R 2 5 +--R (84cosh(x) - 24cosh(x) - 4)sinh(x) +--R + +--R 3 2 4 +--R (140cosh(x) - 60cosh(x) - 20cosh(x) - 12)sinh(x) +--R + +--R 4 3 2 +--R (140cosh(x) - 80cosh(x) - 40cosh(x) - 48cosh(x) - 24) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 84cosh(x) - 60cosh(x) - 40cosh(x) - 72cosh(x) +--R + +--R - 72cosh(x) - 16 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) - 24cosh(x) - 20cosh(x) - 48cosh(x) +--R + +--R 2 +--R - 72cosh(x) - 32cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 4cosh(x) - 4cosh(x) - 4cosh(x) - 12cosh(x) - 24cosh(x) +--R + +--R 2 +--R - 16cosh(x) - 16cosh(x) - 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R sinh(x) + (8cosh(x) - 4)sinh(x) +--R + +--R 2 6 +--R (28cosh(x) - 28cosh(x) + 4)sinh(x) +--R + +--R 3 2 5 +--R (56cosh(x) - 84cosh(x) + 24cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 +--R (70cosh(x) - 140cosh(x) + 60cosh(x) - 20cosh(x) + 8) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) - 140cosh(x) + 80cosh(x) - 40cosh(x) +--R + +--R 32cosh(x) + 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) - 84cosh(x) + 60cosh(x) - 40cosh(x) +--R + +--R 2 +--R 48cosh(x) + 48cosh(x) + 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 8cosh(x) - 28cosh(x) + 24cosh(x) - 20cosh(x) +--R + +--R 3 2 +--R 32cosh(x) + 48cosh(x) + 24cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) - 4cosh(x) + 4cosh(x) - 4cosh(x) + 8cosh(x) +--R + +--R 3 2 +--R 16cosh(x) + 12cosh(x) + 16cosh(x) + 8 +--R * +--R +-+ +--R \|a +--R / +--R +-+ +--R \|a +--R Type: Union(Expression Integer,...) +--E 496 + +--S 497 of 508 +m0397:= a0397-r0397 +--R +--R +--R (388) +--R - +--R a +--R * +--R log +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- - a sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R - a cosh(x) - a +--R / +--R sinh(x) + cosh(x) +--R + +--R a +--R * +--R log +--R 3 2 +--R sinh(x) + (3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) - 4cosh(x) + 1)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R - sinh(x) + (- 3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) + 2cosh(x) - 1)sinh(x) - cosh(x) + cosh(x) +--R + +--R - cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +-+ +--R |2 +-+ +--R a |- \|a +--R \|a +--R * +--R log +--R 7 6 +--R - 2sinh(x) + (- 14cosh(x) - 12)sinh(x) +--R + +--R 2 5 +--R (- 42cosh(x) - 72cosh(x) - 10)sinh(x) +--R + +--R 3 2 4 +--R (- 70cosh(x) - 180cosh(x) - 50cosh(x) - 24)sinh(x) +--R + +--R 4 3 2 +--R - 70cosh(x) - 240cosh(x) - 100cosh(x) - 96cosh(x) +--R + +--R - 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 +--R - 42cosh(x) - 180cosh(x) - 100cosh(x) +--R + +--R 2 +--R - 144cosh(x) - 48cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 14cosh(x) - 72cosh(x) - 50cosh(x) - 96cosh(x) +--R + +--R 2 +--R - 48cosh(x) - 24cosh(x) - 8 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 2cosh(x) - 12cosh(x) - 10cosh(x) - 24cosh(x) +--R + +--R 3 2 +--R - 16cosh(x) - 12cosh(x) - 8cosh(x) +--R * +--R +-+ +--R |2 +-+ +--R |- \|a +--R \|a +--R + +--R 7 6 +--R - 4sinh(x) + (- 28cosh(x) - 12)sinh(x) +--R + +--R 2 5 +--R (- 84cosh(x) - 72cosh(x) - 20)sinh(x) +--R + +--R 3 2 4 +--R (- 140cosh(x) - 180cosh(x) - 100cosh(x) - 28)sinh(x) +--R + +--R 4 3 2 +--R - 140cosh(x) - 240cosh(x) - 200cosh(x) - 112cosh(x) +--R + +--R - 32 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 84cosh(x) - 180cosh(x) - 200cosh(x) - 168cosh(x) +--R + +--R - 96cosh(x) - 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 28cosh(x) - 72cosh(x) - 100cosh(x) - 112cosh(x) +--R + +--R 2 +--R - 96cosh(x) - 48cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 4cosh(x) - 12cosh(x) - 20cosh(x) - 28cosh(x) +--R + +--R 3 2 +--R - 32cosh(x) - 24cosh(x) - 16cosh(x) - 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R - 3sinh(x) + (- 24cosh(x) + 4)sinh(x) +--R + +--R 2 6 +--R (- 84cosh(x) + 28cosh(x))sinh(x) +--R + +--R 3 2 5 +--R (- 168cosh(x) + 84cosh(x) + 12)sinh(x) +--R + +--R 4 3 4 +--R (- 210cosh(x) + 140cosh(x) + 60cosh(x) + 16)sinh(x) +--R + +--R 5 4 2 +--R - 168cosh(x) + 140cosh(x) + 120cosh(x) + 64cosh(x) +--R + +--R 24 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 3 2 +--R - 84cosh(x) + 84cosh(x) + 120cosh(x) + 96cosh(x) +--R + +--R 72cosh(x) + 20 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 4 3 +--R - 24cosh(x) + 28cosh(x) + 60cosh(x) + 64cosh(x) +--R + +--R 2 +--R 72cosh(x) + 40cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 5 4 +--R - 3cosh(x) + 4cosh(x) + 12cosh(x) + 16cosh(x) +--R + +--R 3 2 +--R 24cosh(x) + 20cosh(x) + 16cosh(x) + 8 +--R * +--R +-+ +--R \|a +--R + +--R 8 7 +--R - 2a sinh(x) + (- 16a cosh(x) + 2a)sinh(x) +--R + +--R 2 6 +--R (- 56a cosh(x) + 14a cosh(x) + 2a)sinh(x) +--R + +--R 3 2 5 +--R (- 112a cosh(x) + 42a cosh(x) + 12a cosh(x) + 6a)sinh(x) +--R + +--R 4 3 2 +--R - 140a cosh(x) + 70a cosh(x) + 30a cosh(x) +--R + +--R 30a cosh(x) + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 +--R - 112a cosh(x) + 70a cosh(x) + 40a cosh(x) +--R + +--R 2 +--R 60a cosh(x) + 64a cosh(x) + 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 +--R - 56a cosh(x) + 42a cosh(x) + 30a cosh(x) +--R + +--R 3 2 +--R 60a cosh(x) + 96a cosh(x) + 36a cosh(x) + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 +--R - 16a cosh(x) + 14a cosh(x) + 12a cosh(x) +--R + +--R 4 3 2 +--R 30a cosh(x) + 64a cosh(x) + 36a cosh(x) + 24a cosh(x) +--R + +--R 8a +--R * +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2a cosh(x) + 2a cosh(x) + 2a cosh(x) + 6a cosh(x) +--R + +--R 4 3 2 +--R 16a cosh(x) + 12a cosh(x) + 12a cosh(x) + 8a cosh(x) +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 7 6 +--R 4sinh(x) + (28cosh(x) - 4)sinh(x) +--R + +--R 2 5 +--R (84cosh(x) - 24cosh(x) - 4)sinh(x) +--R + +--R 3 2 4 +--R (140cosh(x) - 60cosh(x) - 20cosh(x) - 12)sinh(x) +--R + +--R 4 3 2 +--R (140cosh(x) - 80cosh(x) - 40cosh(x) - 48cosh(x) - 24) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 84cosh(x) - 60cosh(x) - 40cosh(x) - 72cosh(x) +--R + +--R - 72cosh(x) - 16 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) - 24cosh(x) - 20cosh(x) - 48cosh(x) +--R + +--R 2 +--R - 72cosh(x) - 32cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 4cosh(x) - 4cosh(x) - 4cosh(x) - 12cosh(x) - 24cosh(x) +--R + +--R 2 +--R - 16cosh(x) - 16cosh(x) - 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R sinh(x) + (8cosh(x) - 4)sinh(x) +--R + +--R 2 6 +--R (28cosh(x) - 28cosh(x) + 4)sinh(x) +--R + +--R 3 2 5 +--R (56cosh(x) - 84cosh(x) + 24cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 +--R (70cosh(x) - 140cosh(x) + 60cosh(x) - 20cosh(x) + 8) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) - 140cosh(x) + 80cosh(x) - 40cosh(x) +--R + +--R 32cosh(x) + 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) - 84cosh(x) + 60cosh(x) - 40cosh(x) +--R + +--R 2 +--R 48cosh(x) + 48cosh(x) + 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 8cosh(x) - 28cosh(x) + 24cosh(x) - 20cosh(x) +--R + +--R 3 2 +--R 32cosh(x) + 48cosh(x) + 24cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) - 4cosh(x) + 4cosh(x) - 4cosh(x) + 8cosh(x) +--R + +--R 3 2 +--R 16cosh(x) + 12cosh(x) + 16cosh(x) + 8 +--R * +--R +-+ +--R \|a +--R + +--R +-------------+ +--R +-------------+ +-------------+ \|a sech(x) - a +--R 2coth(x)\|a sech(x) - a \|a sech(x) + a atan(----------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +-------------+ +-------------+ \|2 \|a +--R \|2 coth(x)\|a sech(x) - a \|a sech(x) + a atan(----------------) +--R +-------------+ +--R \|a sech(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 497 + +--S 498 of 508 +--d0397:= D(m0397,x) +--E 498 + +--S 499 of 508 +t0398:= 1/(a-a*sech(x))^(1/2) +--R +--R +--R 1 +--R (389) ------------------ +--R +---------------+ +--R \|- a sech(x) + a +--R Type: Expression Integer +--E 499 + +--S 500 of 508 +r0398:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a-a*sech(x))^(1/2))+2*atan((-a-a*sech(x))^(1/2)/a^(1/2)))*coth(x)*(-a-a*sech(x))^(1/2)*(a-a*sech(x))^(1/2)/a^(3/2) +--R +--R +--R (390) +--R +---------------+ +--R +---------------+ +---------------+ \|- a sech(x) - a +--R - 2coth(x)\|- a sech(x) - a \|- a sech(x) + a atan(------------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +---------------+ +---------------+ \|2 \|a +--R - \|2 coth(x)\|- a sech(x) - a \|- a sech(x) + a atan(------------------) +--R +---------------+ +--R \|- a sech(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 500 + +--S 501 of 508 +a0398:= integrate(t0398,x) +--R +--R +--R (391) +--R log +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- + a sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R a cosh(x) - a +--R / +--R sinh(x) + cosh(x) +--R + +--R +-+ +--R |2 +-+ +--R |- \|a +--R \|a +--R * +--R log +--R 7 6 +--R 2sinh(x) + (14cosh(x) - 12)sinh(x) +--R + +--R 2 5 +--R (42cosh(x) - 72cosh(x) + 10)sinh(x) +--R + +--R 3 2 4 +--R (70cosh(x) - 180cosh(x) + 50cosh(x) - 24)sinh(x) +--R + +--R 4 3 2 +--R 70cosh(x) - 240cosh(x) + 100cosh(x) - 96cosh(x) +--R + +--R 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 42cosh(x) - 180cosh(x) + 100cosh(x) - 144cosh(x) +--R + +--R 48cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 14cosh(x) - 72cosh(x) + 50cosh(x) - 96cosh(x) +--R + +--R 2 +--R 48cosh(x) - 24cosh(x) + 8 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R 2cosh(x) - 12cosh(x) + 10cosh(x) - 24cosh(x) +--R + +--R 3 2 +--R 16cosh(x) - 12cosh(x) + 8cosh(x) +--R * +--R +-+ +--R |2 +-+ +--R |- \|a +--R \|a +--R + +--R 7 6 +--R - 4sinh(x) + (- 28cosh(x) + 12)sinh(x) +--R + +--R 2 5 +--R (- 84cosh(x) + 72cosh(x) - 20)sinh(x) +--R + +--R 3 2 4 +--R (- 140cosh(x) + 180cosh(x) - 100cosh(x) + 28)sinh(x) +--R + +--R 4 3 2 +--R - 140cosh(x) + 240cosh(x) - 200cosh(x) + 112cosh(x) +--R + +--R - 32 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 84cosh(x) + 180cosh(x) - 200cosh(x) + 168cosh(x) +--R + +--R - 96cosh(x) + 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 28cosh(x) + 72cosh(x) - 100cosh(x) + 112cosh(x) +--R + +--R 2 +--R - 96cosh(x) + 48cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 4cosh(x) + 12cosh(x) - 20cosh(x) + 28cosh(x) +--R + +--R 3 2 +--R - 32cosh(x) + 24cosh(x) - 16cosh(x) + 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R 3sinh(x) + (24cosh(x) + 4)sinh(x) +--R + +--R 2 6 +--R (84cosh(x) + 28cosh(x))sinh(x) +--R + +--R 3 2 5 +--R (168cosh(x) + 84cosh(x) + 12)sinh(x) +--R + +--R 4 3 4 +--R (210cosh(x) + 140cosh(x) + 60cosh(x) - 16)sinh(x) +--R + +--R 5 4 2 +--R (168cosh(x) + 140cosh(x) + 120cosh(x) - 64cosh(x) + 24) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 3 2 +--R 84cosh(x) + 84cosh(x) + 120cosh(x) - 96cosh(x) +--R + +--R 72cosh(x) - 20 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 4 3 +--R 24cosh(x) + 28cosh(x) + 60cosh(x) - 64cosh(x) +--R + +--R 2 +--R 72cosh(x) - 40cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 5 4 3 +--R 3cosh(x) + 4cosh(x) + 12cosh(x) - 16cosh(x) + 24cosh(x) +--R + +--R 2 +--R - 20cosh(x) + 16cosh(x) - 8 +--R * +--R +-+ +--R \|a +--R + +--R 8 7 +--R - 2a sinh(x) + (- 16a cosh(x) - 2a)sinh(x) +--R + +--R 2 6 +--R (- 56a cosh(x) - 14a cosh(x) + 2a)sinh(x) +--R + +--R 3 2 5 +--R (- 112a cosh(x) - 42a cosh(x) + 12a cosh(x) - 6a)sinh(x) +--R + +--R 4 3 2 +--R - 140a cosh(x) - 70a cosh(x) + 30a cosh(x) +--R + +--R - 30a cosh(x) + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 +--R - 112a cosh(x) - 70a cosh(x) + 40a cosh(x) +--R + +--R 2 +--R - 60a cosh(x) + 64a cosh(x) - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 +--R - 56a cosh(x) - 42a cosh(x) + 30a cosh(x) +--R + +--R 3 2 +--R - 60a cosh(x) + 96a cosh(x) - 36a cosh(x) + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 +--R - 16a cosh(x) - 14a cosh(x) + 12a cosh(x) +--R + +--R 4 3 2 +--R - 30a cosh(x) + 64a cosh(x) - 36a cosh(x) +--R + +--R 24a cosh(x) - 8a +--R * +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2a cosh(x) - 2a cosh(x) + 2a cosh(x) - 6a cosh(x) +--R + +--R 4 3 2 +--R 16a cosh(x) - 12a cosh(x) + 12a cosh(x) - 8a cosh(x) +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 7 6 +--R 4sinh(x) + (28cosh(x) + 4)sinh(x) +--R + +--R 2 5 +--R (84cosh(x) + 24cosh(x) - 4)sinh(x) +--R + +--R 3 2 4 +--R (140cosh(x) + 60cosh(x) - 20cosh(x) + 12)sinh(x) +--R + +--R 4 3 2 +--R (140cosh(x) + 80cosh(x) - 40cosh(x) + 48cosh(x) - 24) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 84cosh(x) + 60cosh(x) - 40cosh(x) + 72cosh(x) +--R + +--R - 72cosh(x) + 16 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) + 24cosh(x) - 20cosh(x) + 48cosh(x) +--R + +--R 2 +--R - 72cosh(x) + 32cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 4cosh(x) + 4cosh(x) - 4cosh(x) + 12cosh(x) - 24cosh(x) +--R + +--R 2 +--R 16cosh(x) - 16cosh(x) + 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R - sinh(x) + (- 8cosh(x) - 4)sinh(x) +--R + +--R 2 6 +--R (- 28cosh(x) - 28cosh(x) - 4)sinh(x) +--R + +--R 3 2 5 +--R (- 56cosh(x) - 84cosh(x) - 24cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 +--R (- 70cosh(x) - 140cosh(x) - 60cosh(x) - 20cosh(x) - 8) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 56cosh(x) - 140cosh(x) - 80cosh(x) - 40cosh(x) +--R + +--R - 32cosh(x) + 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 28cosh(x) - 84cosh(x) - 60cosh(x) - 40cosh(x) +--R + +--R 2 +--R - 48cosh(x) + 48cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 8cosh(x) - 28cosh(x) - 24cosh(x) - 20cosh(x) +--R + +--R 3 2 +--R - 32cosh(x) + 48cosh(x) - 24cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 4cosh(x) - 4cosh(x) - 4cosh(x) - 8cosh(x) +--R + +--R 3 2 +--R 16cosh(x) - 12cosh(x) + 16cosh(x) - 8 +--R * +--R +-+ +--R \|a +--R + +--R - +--R log +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (- 3cosh(x) - 4cosh(x) - 1)sinh(x) - cosh(x) - 2cosh(x) +--R + +--R - cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R sinh(x) + (3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) + 2cosh(x) + 1)sinh(x) + cosh(x) + cosh(x) +--R + +--R cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R / +--R +-+ +--R \|a +--R Type: Union(Expression Integer,...) +--E 501 + +--S 502 of 508 +m0398:= a0398-r0398 +--R +--R +--R (392) +--R a +--R * +--R log +--R +-----------------------------------------+ +--R +-+ | a +--R \|a |----------------------------------------- + a sinh(x) +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R a cosh(x) - a +--R / +--R sinh(x) + cosh(x) +--R + +--R +-+ +--R |2 +-+ +--R a |- \|a +--R \|a +--R * +--R log +--R 7 6 +--R 2sinh(x) + (14cosh(x) - 12)sinh(x) +--R + +--R 2 5 +--R (42cosh(x) - 72cosh(x) + 10)sinh(x) +--R + +--R 3 2 4 +--R (70cosh(x) - 180cosh(x) + 50cosh(x) - 24)sinh(x) +--R + +--R 4 3 2 +--R 70cosh(x) - 240cosh(x) + 100cosh(x) - 96cosh(x) +--R + +--R 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 42cosh(x) - 180cosh(x) + 100cosh(x) - 144cosh(x) +--R + +--R 48cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 14cosh(x) - 72cosh(x) + 50cosh(x) - 96cosh(x) +--R + +--R 2 +--R 48cosh(x) - 24cosh(x) + 8 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R 2cosh(x) - 12cosh(x) + 10cosh(x) - 24cosh(x) +--R + +--R 3 2 +--R 16cosh(x) - 12cosh(x) + 8cosh(x) +--R * +--R +-+ +--R |2 +-+ +--R |- \|a +--R \|a +--R + +--R 7 6 +--R - 4sinh(x) + (- 28cosh(x) + 12)sinh(x) +--R + +--R 2 5 +--R (- 84cosh(x) + 72cosh(x) - 20)sinh(x) +--R + +--R 3 2 4 +--R (- 140cosh(x) + 180cosh(x) - 100cosh(x) + 28)sinh(x) +--R + +--R 4 3 2 +--R - 140cosh(x) + 240cosh(x) - 200cosh(x) + 112cosh(x) +--R + +--R - 32 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 84cosh(x) + 180cosh(x) - 200cosh(x) + 168cosh(x) +--R + +--R - 96cosh(x) + 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 28cosh(x) + 72cosh(x) - 100cosh(x) + 112cosh(x) +--R + +--R 2 +--R - 96cosh(x) + 48cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 4cosh(x) + 12cosh(x) - 20cosh(x) + 28cosh(x) +--R + +--R 3 2 +--R - 32cosh(x) + 24cosh(x) - 16cosh(x) + 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R 3sinh(x) + (24cosh(x) + 4)sinh(x) +--R + +--R 2 6 +--R (84cosh(x) + 28cosh(x))sinh(x) +--R + +--R 3 2 5 +--R (168cosh(x) + 84cosh(x) + 12)sinh(x) +--R + +--R 4 3 4 +--R (210cosh(x) + 140cosh(x) + 60cosh(x) - 16)sinh(x) +--R + +--R 5 4 2 +--R (168cosh(x) + 140cosh(x) + 120cosh(x) - 64cosh(x) + 24) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 3 2 +--R 84cosh(x) + 84cosh(x) + 120cosh(x) - 96cosh(x) +--R + +--R 72cosh(x) - 20 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 4 3 +--R 24cosh(x) + 28cosh(x) + 60cosh(x) - 64cosh(x) +--R + +--R 2 +--R 72cosh(x) - 40cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 5 4 3 +--R 3cosh(x) + 4cosh(x) + 12cosh(x) - 16cosh(x) + 24cosh(x) +--R + +--R 2 +--R - 20cosh(x) + 16cosh(x) - 8 +--R * +--R +-+ +--R \|a +--R + +--R 8 7 +--R - 2a sinh(x) + (- 16a cosh(x) - 2a)sinh(x) +--R + +--R 2 6 +--R (- 56a cosh(x) - 14a cosh(x) + 2a)sinh(x) +--R + +--R 3 2 5 +--R (- 112a cosh(x) - 42a cosh(x) + 12a cosh(x) - 6a)sinh(x) +--R + +--R 4 3 2 +--R - 140a cosh(x) - 70a cosh(x) + 30a cosh(x) +--R + +--R - 30a cosh(x) + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 +--R - 112a cosh(x) - 70a cosh(x) + 40a cosh(x) +--R + +--R 2 +--R - 60a cosh(x) + 64a cosh(x) - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 +--R - 56a cosh(x) - 42a cosh(x) + 30a cosh(x) +--R + +--R 3 2 +--R - 60a cosh(x) + 96a cosh(x) - 36a cosh(x) + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 +--R - 16a cosh(x) - 14a cosh(x) + 12a cosh(x) +--R + +--R 4 3 2 +--R - 30a cosh(x) + 64a cosh(x) - 36a cosh(x) +--R + +--R 24a cosh(x) - 8a +--R * +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2a cosh(x) - 2a cosh(x) + 2a cosh(x) - 6a cosh(x) +--R + +--R 4 3 2 +--R 16a cosh(x) - 12a cosh(x) + 12a cosh(x) - 8a cosh(x) +--R * +--R +-+ +--R |2 +--R |- +--R \|a +--R / +--R 7 6 +--R 4sinh(x) + (28cosh(x) + 4)sinh(x) +--R + +--R 2 5 +--R (84cosh(x) + 24cosh(x) - 4)sinh(x) +--R + +--R 3 2 4 +--R (140cosh(x) + 60cosh(x) - 20cosh(x) + 12)sinh(x) +--R + +--R 4 3 2 +--R (140cosh(x) + 80cosh(x) - 40cosh(x) + 48cosh(x) - 24) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 84cosh(x) + 60cosh(x) - 40cosh(x) + 72cosh(x) +--R + +--R - 72cosh(x) + 16 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) + 24cosh(x) - 20cosh(x) + 48cosh(x) +--R + +--R 2 +--R - 72cosh(x) + 32cosh(x) - 16 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 4cosh(x) + 4cosh(x) - 4cosh(x) + 12cosh(x) - 24cosh(x) +--R + +--R 2 +--R 16cosh(x) - 16cosh(x) + 8 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 8 7 +--R - sinh(x) + (- 8cosh(x) - 4)sinh(x) +--R + +--R 2 6 +--R (- 28cosh(x) - 28cosh(x) - 4)sinh(x) +--R + +--R 3 2 5 +--R (- 56cosh(x) - 84cosh(x) - 24cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 +--R (- 70cosh(x) - 140cosh(x) - 60cosh(x) - 20cosh(x) - 8) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 56cosh(x) - 140cosh(x) - 80cosh(x) - 40cosh(x) +--R + +--R - 32cosh(x) + 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 28cosh(x) - 84cosh(x) - 60cosh(x) - 40cosh(x) +--R + +--R 2 +--R - 48cosh(x) + 48cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 8cosh(x) - 28cosh(x) - 24cosh(x) - 20cosh(x) +--R + +--R 3 2 +--R - 32cosh(x) + 48cosh(x) - 24cosh(x) + 16 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 4cosh(x) - 4cosh(x) - 4cosh(x) - 8cosh(x) +--R + +--R 3 2 +--R 16cosh(x) - 12cosh(x) + 16cosh(x) - 8 +--R * +--R +-+ +--R \|a +--R + +--R - +--R a +--R * +--R log +--R 3 2 +--R - sinh(x) + (- 3cosh(x) - 2)sinh(x) +--R + +--R 2 3 +--R (- 3cosh(x) - 4cosh(x) - 1)sinh(x) - cosh(x) +--R + +--R 2 +--R - 2cosh(x) - cosh(x) - 2 +--R * +--R +-----------------------------------------+ +--R | a +--R |----------------------------------------- +--R | 2 2 +--R \|sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R + +--R 3 2 +--R sinh(x) + (3cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (3cosh(x) + 2cosh(x) + 1)sinh(x) + cosh(x) + cosh(x) +--R + +--R cosh(x) + 2 +--R * +--R +-+ +--R \|a +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 1)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 2cosh(x))sinh(x) + cosh(x) + cosh(x) +--R + +--R +---------------+ +--R +---------------+ +---------------+ \|- a sech(x) - a +--R 2coth(x)\|- a sech(x) - a \|- a sech(x) + a atan(------------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +---------------+ +---------------+ \|2 \|a +--R \|2 coth(x)\|- a sech(x) - a \|- a sech(x) + a atan(------------------) +--R +---------------+ +--R \|- a sech(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 502 + +--S 503 of 508 +--d0398:= D(m0398,x) +--E 503 + +--S 504 of 508 +t0399:= 1/(3+5*sech(x)) +--R +--R +--R 1 +--R (393) ------------ +--R 5sech(x) + 3 +--R Type: Expression Integer +--E 504 + +--S 505 of 508 +r0399:= 1/3*x-5/6*atanh(1/2*tanh(1/2*x)) +--R +--R +--R x +--R tanh(-) +--R 2 +--R - 5atanh(-------) + 2x +--R 2 +--R (394) ---------------------- +--R 6 +--R Type: Expression Integer +--E 505 + +--S 506 of 508 +a0399:= integrate(t0399,x) +--R +--R +--R - 5log(3sinh(x) + 3cosh(x) + 1) + 5log(sinh(x) + cosh(x) + 3) + 4x +--R (395) ------------------------------------------------------------------ +--R 12 +--R Type: Union(Expression Integer,...) +--E 506 + +--S 507 of 508 +m0399:= a0399-r0399 +--R +--R +--R (396) +--R - 5log(3sinh(x) + 3cosh(x) + 1) + 5log(sinh(x) + cosh(x) + 3) +--R + +--R x +--R tanh(-) +--R 2 +--R 10atanh(-------) +--R 2 +--R / +--R 12 +--R Type: Expression Integer +--E 507 + +--S 508 of 508 +d0399:= D(m0399,x) +--R +--R +--R (397) +--R 2 2 x 2 +--R (5sinh(x) + (10cosh(x) + 10)sinh(x) + 5cosh(x) + 10cosh(x) + 5)tanh(-) +--R 2 +--R + +--R 2 2 +--R - 5sinh(x) + (- 10cosh(x) + 10)sinh(x) - 5cosh(x) + 10cosh(x) - 5 +--R / +--R 2 2 x 2 +--R (6sinh(x) + (12cosh(x) + 20)sinh(x) + 6cosh(x) + 20cosh(x) + 6)tanh(-) +--R 2 +--R + +--R 2 2 +--R - 24sinh(x) + (- 48cosh(x) - 80)sinh(x) - 24cosh(x) - 80cosh(x) - 24 +--R Type: Expression Integer +--E 508 + +)spool +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} Albert D. Rich ``Rule-based Mathematics'' +\verb|www.apmaths.uwo.ca/~arich| +\end{thebibliography} +\end{document}