diff --git a/changelog b/changelog index d244a0c..58514b9 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100616 tpd src/axiom-website/patches.html 20100616.02.tpd.patch +20100616 tpd src/input/Makefile rule-based hyper integration +20100616 tpd src/input/richhyper900-999.input rule-based hyper integration 20100616 tpd src/axiom-website/patches.html 20100616.01.tpd.patch 20100616 tpd src/input/Makefile rule-based hyper integration 20100616 tpd src/input/richhyper800-899.input rule-based hyper integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 89f85b2..a53a7e4 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2906,6 +2906,8 @@ src/input/richhyper600-699.input rule-based hyper integration
src/input/richhyper700-799.input rule-based hyper integration
20100616.01.tpd.patch src/input/richhyper800-899.input rule-based hyper integration
+20100616.02.tpd.patch +src/input/richhyper900-999.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index a3a6286..1a9d5fa 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -384,6 +384,7 @@ REGRES= ackermann.regress \ richhyper600-699.regress \ richhyper700-799.regress \ richhyper800-899.regress \ + richhyper900-999.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -722,6 +723,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richhyper600-699.input \ ${OUT}/richhyper700-799.input \ ${OUT}/richhyper800-899.input \ + ${OUT}/richhyper900-999.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1089,6 +1091,7 @@ DOCFILES= \ ${DOC}/richhyper600-699.input.dvi \ ${DOC}/richhyper700-799.input.dvi \ ${DOC}/richhyper800-899.input.dvi \ + ${DOC}/richhyper900-999.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper900-999.input.pamphlet b/src/input/richhyper900-999.input.pamphlet new file mode 100644 index 0000000..5a998ef --- /dev/null +++ b/src/input/richhyper900-999.input.pamphlet @@ -0,0 +1,45739 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper900-999.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper900-999.output +)spool richhyper900-999.output +)set message auto off +)clear all + +--S 1 of 518 +t0900:= (coth(x)+csch(x))^5 +--R +--R +--R (1) +--R 5 4 2 3 3 2 +--R csch(x) + 5coth(x)csch(x) + 10coth(x) csch(x) + 10coth(x) csch(x) +--R + +--R 4 5 +--R 5coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 1 + +--S 2 of 518 +r0900:= -2/(1-cosh(x))^2+4/(1-cosh(x))+log(1-cosh(x)) +--R +--R +--R 2 +--R (cosh(x) - 2cosh(x) + 1)log(- cosh(x) + 1) - 4cosh(x) + 2 +--R (2) ---------------------------------------------------------- +--R 2 +--R cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 2 + +--S 3 of 518 +a0900:= integrate(t0900,x) +--R +--R +--R (3) +--R 4 3 +--R 2sinh(x) + (8cosh(x) - 8)sinh(x) +--R + +--R 2 2 +--R (12cosh(x) - 24cosh(x) + 12)sinh(x) +--R + +--R 3 2 4 +--R (8cosh(x) - 24cosh(x) + 24cosh(x) - 8)sinh(x) + 2cosh(x) +--R + +--R 3 2 +--R - 8cosh(x) + 12cosh(x) - 8cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 4 3 +--R - x sinh(x) + (- 4x cosh(x) + 4x - 8)sinh(x) +--R + +--R 2 2 +--R (- 6x cosh(x) + (12x - 24)cosh(x) - 6x + 8)sinh(x) +--R + +--R 3 2 +--R (- 4x cosh(x) + (12x - 24)cosh(x) + (- 12x + 16)cosh(x) + 4x - 8) +--R * +--R sinh(x) +--R + +--R 4 3 2 +--R - x cosh(x) + (4x - 8)cosh(x) + (- 6x + 8)cosh(x) + (4x - 8)cosh(x) - x +--R / +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) - 4)sinh(x) + (6cosh(x) - 12cosh(x) + 6)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) - 12cosh(x) + 12cosh(x) - 4)sinh(x) + cosh(x) - 4cosh(x) +--R + +--R 2 +--R 6cosh(x) - 4cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 518 +m0900:= a0900-r0900 +--R +--R +--R (4) +--R 2 4 +--R (2cosh(x) - 4cosh(x) + 2)sinh(x) +--R + +--R 3 2 3 +--R (8cosh(x) - 24cosh(x) + 24cosh(x) - 8)sinh(x) +--R + +--R 4 3 2 2 +--R (12cosh(x) - 48cosh(x) + 72cosh(x) - 48cosh(x) + 12)sinh(x) +--R + +--R 5 4 3 2 +--R (8cosh(x) - 40cosh(x) + 80cosh(x) - 80cosh(x) + 40cosh(x) - 8) +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 2cosh(x) - 12cosh(x) + 30cosh(x) - 40cosh(x) + 30cosh(x) +--R + +--R - 12cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 4 +--R (- cosh(x) + 2cosh(x) - 1)sinh(x) +--R + +--R 3 2 3 +--R (- 4cosh(x) + 12cosh(x) - 12cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 2 +--R (- 6cosh(x) + 24cosh(x) - 36cosh(x) + 24cosh(x) - 6)sinh(x) +--R + +--R 5 4 3 2 +--R - 4cosh(x) + 20cosh(x) - 40cosh(x) + 40cosh(x) - 20cosh(x) +--R + +--R 4 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - cosh(x) + 6cosh(x) - 15cosh(x) + 20cosh(x) - 15cosh(x) +--R + +--R 6cosh(x) - 1 +--R * +--R log(- cosh(x) + 1) +--R + +--R 2 4 +--R (- x cosh(x) + (2x + 4)cosh(x) - x - 2)sinh(x) +--R + +--R 3 2 3 +--R (- 4x cosh(x) + (12x + 8)cosh(x) + (- 12x - 8)cosh(x) + 4x)sinh(x) +--R + +--R 4 3 2 +--R - 6x cosh(x) + 24x cosh(x) + (- 36x - 4)cosh(x) + (24x + 8)cosh(x) +--R + +--R - 6x - 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 +--R - 4x cosh(x) + (20x - 8)cosh(x) + (- 40x + 8)cosh(x) +--R + +--R 2 +--R (40x + 8)cosh(x) + (- 20x - 8)cosh(x) + 4x +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R - x cosh(x) + (6x - 4)cosh(x) + (- 15x + 6)cosh(x) + 20x cosh(x) +--R + +--R 2 +--R (- 15x - 4)cosh(x) + (6x + 4)cosh(x) - x - 2 +--R / +--R 2 4 +--R (cosh(x) - 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) - 12cosh(x) + 12cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 2 +--R (6cosh(x) - 24cosh(x) + 36cosh(x) - 24cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R (4cosh(x) - 20cosh(x) + 40cosh(x) - 40cosh(x) + 20cosh(x) - 4)sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) - 6cosh(x) + 15cosh(x) - 20cosh(x) + 15cosh(x) - 6cosh(x) + 1 +--R Type: Expression Integer +--E 4 + +--S 5 of 518 +d0900:= D(m0900,x) +--R +--R +--R (5) +--R 2 6 +--R (- cosh(x) - 2cosh(x) - 1)sinh(x) +--R + +--R 3 2 5 +--R (- 4cosh(x) - 8cosh(x) + 8cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 4 +--R (- 5cosh(x) - 10cosh(x) + 20cosh(x) + 10cosh(x) - 15)sinh(x) +--R + +--R 6 5 4 3 2 +--R 5cosh(x) + 10cosh(x) - 25cosh(x) - 20cosh(x) + 35cosh(x) +--R + +--R 10cosh(x) - 15 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 4cosh(x) + 8cosh(x) - 16cosh(x) - 20cosh(x) + 20cosh(x) +--R + +--R 2 +--R 16cosh(x) - 8cosh(x) - 4 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 2 +--R cosh(x) + 2cosh(x) - 2cosh(x) - 6cosh(x) + 6cosh(x) + 2cosh(x) +--R + +--R - 2cosh(x) - 1 +--R / +--R 3 2 5 +--R (cosh(x) - 3cosh(x) + 3cosh(x) - 1)sinh(x) +--R + +--R 4 3 2 4 +--R (5cosh(x) - 20cosh(x) + 30cosh(x) - 20cosh(x) + 5)sinh(x) +--R + +--R 5 4 3 2 +--R (10cosh(x) - 50cosh(x) + 100cosh(x) - 100cosh(x) + 50cosh(x) - 10) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 10cosh(x) - 60cosh(x) + 150cosh(x) - 200cosh(x) + 150cosh(x) +--R + +--R - 60cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 5cosh(x) - 35cosh(x) + 105cosh(x) - 175cosh(x) + 175cosh(x) +--R + +--R 2 +--R - 105cosh(x) + 35cosh(x) - 5 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 3 +--R cosh(x) - 8cosh(x) + 28cosh(x) - 56cosh(x) + 70cosh(x) - 56cosh(x) +--R + +--R 2 +--R 28cosh(x) - 8cosh(x) + 1 +--R Type: Expression Integer +--E 5 + +--S 6 of 518 +t0901:= 1/(coth(x)+csch(x)) +--R +--R +--R 1 +--R (6) ----------------- +--R csch(x) + coth(x) +--R Type: Expression Integer +--E 6 + +--S 7 of 518 +r0901:= log(1+cosh(x)) +--R +--R +--R (7) log(cosh(x) + 1) +--R Type: Expression Integer +--E 7 + +--S 8 of 518 +a0901:= integrate(t0901,x) +--R +--R +--R (8) 2log(sinh(x) + cosh(x) + 1) - x +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 518 +m0901:= a0901-r0901 +--R +--R +--R (9) 2log(sinh(x) + cosh(x) + 1) - log(cosh(x) + 1) - x +--R Type: Expression Integer +--E 9 + +--S 10 of 518 +d0901:= D(m0901,x) +--R +--R +--R 2 2 +--R - sinh(x) + cosh(x) - 1 +--R (10) ---------------------------------------------- +--R 2 +--R (cosh(x) + 1)sinh(x) + cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 10 + +--S 11 of 518 +t0902:= 1/(coth(x)+csch(x))^2 +--R +--R +--R 1 +--R (11) ------------------------------------- +--R 2 2 +--R csch(x) + 2coth(x)csch(x) + coth(x) +--R Type: Expression Integer +--E 11 + +--S 12 of 518 +r0902:= x-2*tanh(1/2*x) +--R +--R +--R x +--R (12) - 2tanh(-) + x +--R 2 +--R Type: Expression Integer +--E 12 + +--S 13 of 518 +a0902:= integrate(t0902,x) +--R +--R +--R x sinh(x) + x cosh(x) + x + 4 +--R (13) ----------------------------- +--R sinh(x) + cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 518 +m0902:= a0902-r0902 +--R +--R +--R x +--R (2sinh(x) + 2cosh(x) + 2)tanh(-) + 4 +--R 2 +--R (14) ------------------------------------ +--R sinh(x) + cosh(x) + 1 +--R Type: Expression Integer +--E 14 + +--S 15 of 518 +d0902:= D(m0902,x) +--R +--R +--R (15) +--R 2 2 x 2 +--R (- sinh(x) + (- 2cosh(x) - 2)sinh(x) - cosh(x) - 2cosh(x) - 1)tanh(-) +--R 2 +--R + +--R 2 2 +--R sinh(x) + (2cosh(x) - 2)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2)sinh(x) + cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 15 + +--S 16 of 518 +t0903:= 1/(coth(x)+csch(x))^3 +--R +--R +--R 1 +--R (16) --------------------------------------------------------- +--R 3 2 2 3 +--R csch(x) + 3coth(x)csch(x) + 3coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 16 + +--S 17 of 518 +r0903:= 2/(1+cosh(x))+log(1+cosh(x)) +--R +--R +--R (cosh(x) + 1)log(cosh(x) + 1) + 2 +--R (17) --------------------------------- +--R cosh(x) + 1 +--R Type: Expression Integer +--E 17 + +--S 18 of 518 +a0903:= integrate(t0903,x) +--R +--R +--R (18) +--R 2 2 +--R (2sinh(x) + (4cosh(x) + 4)sinh(x) + 2cosh(x) + 4cosh(x) + 2) +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R - x sinh(x) + (- 2x cosh(x) - 2x + 4)sinh(x) - x cosh(x) +--R + +--R (- 2x + 4)cosh(x) - x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2)sinh(x) + cosh(x) + 2cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 518 +m0903:= a0903-r0903 +--R +--R +--R (19) +--R 2 2 +--R (2cosh(x) + 2)sinh(x) + (4cosh(x) + 8cosh(x) + 4)sinh(x) +--R + +--R 3 2 +--R 2cosh(x) + 6cosh(x) + 6cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (- cosh(x) - 1)sinh(x) + (- 2cosh(x) - 4cosh(x) - 2)sinh(x) +--R + +--R 3 2 +--R - cosh(x) - 3cosh(x) - 3cosh(x) - 1 +--R * +--R log(cosh(x) + 1) +--R + +--R 2 2 +--R (- x cosh(x) - x - 2)sinh(x) + (- 2x cosh(x) - 4x cosh(x) - 2x)sinh(x) +--R + +--R 3 2 +--R - x cosh(x) + (- 3x + 2)cosh(x) - 3x cosh(x) - x - 2 +--R / +--R 2 2 3 +--R (cosh(x) + 1)sinh(x) + (2cosh(x) + 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R 3cosh(x) + 3cosh(x) + 1 +--R Type: Expression Integer +--E 19 + +--S 20 of 518 +d0903:= D(m0903,x) +--R +--R +--R (20) +--R 4 2 3 +--R (- cosh(x) + 1)sinh(x) + (- 2cosh(x) + 2cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 5 +--R (2cosh(x) - 2cosh(x) - 6cosh(x) + 2cosh(x) + 4)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R - cosh(x) - 2cosh(x) + 2cosh(x) + cosh(x) - 1 +--R / +--R 2 3 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) + 9cosh(x) + 9cosh(x) + 3)sinh(x) +--R + +--R 4 3 2 5 +--R (3cosh(x) + 12cosh(x) + 18cosh(x) + 12cosh(x) + 3)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R 5cosh(x) + 10cosh(x) + 10cosh(x) + 5cosh(x) + 1 +--R Type: Expression Integer +--E 20 + +--S 21 of 518 +t0904:= 1/(coth(x)+csch(x))^4 +--R +--R +--R (21) +--R 1 +--R ----------------------------------------------------------------------------- +--R 4 3 2 2 3 4 +--R csch(x) + 4coth(x)csch(x) + 6coth(x) csch(x) + 4coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 21 + +--S 22 of 518 +r0904:= x-2*tanh(1/2*x)-2/3*tanh(1/2*x)^3 +--R +--R +--R x 3 x +--R - 2tanh(-) - 6tanh(-) + 3x +--R 2 2 +--R (22) --------------------------- +--R 3 +--R Type: Expression Integer +--E 22 + +--S 23 of 518 +a0904:= integrate(t0904,x) +--R +--R +--R (23) +--R 2 2 +--R 3x sinh(x) + (6x cosh(x) + 6x + 8)sinh(x) + 3x cosh(x) +--R + +--R (12x + 40)cosh(x) + 9x + 24 +--R / +--R 2 2 +--R 3sinh(x) + (6cosh(x) + 6)sinh(x) + 3cosh(x) + 12cosh(x) + 9 +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 518 +m0904:= a0904-r0904 +--R +--R +--R (24) +--R 2 2 x 3 +--R (2sinh(x) + (4cosh(x) + 4)sinh(x) + 2cosh(x) + 8cosh(x) + 6)tanh(-) +--R 2 +--R + +--R 2 2 x +--R (6sinh(x) + (12cosh(x) + 12)sinh(x) + 6cosh(x) + 24cosh(x) + 18)tanh(-) +--R 2 +--R + +--R 8sinh(x) + 40cosh(x) + 24 +--R / +--R 2 2 +--R 3sinh(x) + (6cosh(x) + 6)sinh(x) + 3cosh(x) + 12cosh(x) + 9 +--R Type: Expression Integer +--E 24 + +--S 25 of 518 +d0904:= D(m0904,x) +--R +--R +--R (25) +--R 4 3 +--R - sinh(x) + (- 4cosh(x) - 4)sinh(x) +--R + +--R 2 2 +--R (- 6cosh(x) - 16cosh(x) - 10)sinh(x) +--R + +--R 3 2 4 +--R (- 4cosh(x) - 20cosh(x) - 28cosh(x) - 12)sinh(x) - cosh(x) +--R + +--R 3 2 +--R - 8cosh(x) - 22cosh(x) - 24cosh(x) - 9 +--R * +--R x 4 +--R tanh(-) +--R 2 +--R + +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) + 12)sinh(x) + (6cosh(x) + 8cosh(x) + 10)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) - 20cosh(x) - 4cosh(x) + 20)sinh(x) + cosh(x) - 16cosh(x) +--R + +--R 2 +--R - 10cosh(x) + 16cosh(x) + 9 +--R / +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) + 4)sinh(x) + (6cosh(x) + 16cosh(x) + 10)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) + 20cosh(x) + 28cosh(x) + 12)sinh(x) + cosh(x) + 8cosh(x) +--R + +--R 2 +--R 22cosh(x) + 24cosh(x) + 9 +--R Type: Expression Integer +--E 25 + +--S 26 of 518 +t0905:= 1/(coth(x)+csch(x))^5 +--R +--R +--R (26) +--R 1 +--R / +--R 5 4 2 3 3 2 +--R csch(x) + 5coth(x)csch(x) + 10coth(x) csch(x) + 10coth(x) csch(x) +--R + +--R 4 5 +--R 5coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 26 + +--S 27 of 518 +r0905:= -2/(1+cosh(x))^2+4/(1+cosh(x))+log(1+cosh(x)) +--R +--R +--R 2 +--R (cosh(x) + 2cosh(x) + 1)log(cosh(x) + 1) + 4cosh(x) + 2 +--R (27) -------------------------------------------------------- +--R 2 +--R cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 27 + +--S 28 of 518 +a0905:= integrate(t0905,x) +--R +--R +--R (28) +--R 4 3 +--R 2sinh(x) + (8cosh(x) + 8)sinh(x) +--R + +--R 2 2 +--R (12cosh(x) + 24cosh(x) + 12)sinh(x) +--R + +--R 3 2 4 +--R (8cosh(x) + 24cosh(x) + 24cosh(x) + 8)sinh(x) + 2cosh(x) +--R + +--R 3 2 +--R 8cosh(x) + 12cosh(x) + 8cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 4 3 +--R - x sinh(x) + (- 4x cosh(x) - 4x + 8)sinh(x) +--R + +--R 2 2 +--R (- 6x cosh(x) + (- 12x + 24)cosh(x) - 6x + 8)sinh(x) +--R + +--R 3 2 +--R (- 4x cosh(x) + (- 12x + 24)cosh(x) + (- 12x + 16)cosh(x) - 4x + 8) +--R * +--R sinh(x) +--R + +--R 4 3 2 +--R - x cosh(x) + (- 4x + 8)cosh(x) + (- 6x + 8)cosh(x) +--R + +--R (- 4x + 8)cosh(x) - x +--R / +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) + 4)sinh(x) + (6cosh(x) + 12cosh(x) + 6)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) + 12cosh(x) + 12cosh(x) + 4)sinh(x) + cosh(x) + 4cosh(x) +--R + +--R 2 +--R 6cosh(x) + 4cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 518 +m0905:= a0905-r0905 +--R +--R +--R (29) +--R 2 4 +--R (2cosh(x) + 4cosh(x) + 2)sinh(x) +--R + +--R 3 2 3 +--R (8cosh(x) + 24cosh(x) + 24cosh(x) + 8)sinh(x) +--R + +--R 4 3 2 2 +--R (12cosh(x) + 48cosh(x) + 72cosh(x) + 48cosh(x) + 12)sinh(x) +--R + +--R 5 4 3 2 +--R (8cosh(x) + 40cosh(x) + 80cosh(x) + 80cosh(x) + 40cosh(x) + 8) +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 2cosh(x) + 12cosh(x) + 30cosh(x) + 40cosh(x) + 30cosh(x) +--R + +--R 12cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 4 +--R (- cosh(x) - 2cosh(x) - 1)sinh(x) +--R + +--R 3 2 3 +--R (- 4cosh(x) - 12cosh(x) - 12cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 2 +--R (- 6cosh(x) - 24cosh(x) - 36cosh(x) - 24cosh(x) - 6)sinh(x) +--R + +--R 5 4 3 2 +--R - 4cosh(x) - 20cosh(x) - 40cosh(x) - 40cosh(x) - 20cosh(x) +--R + +--R - 4 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - cosh(x) - 6cosh(x) - 15cosh(x) - 20cosh(x) - 15cosh(x) +--R + +--R - 6cosh(x) - 1 +--R * +--R log(cosh(x) + 1) +--R + +--R 2 4 +--R (- x cosh(x) + (- 2x - 4)cosh(x) - x - 2)sinh(x) +--R + +--R 3 2 3 +--R (- 4x cosh(x) + (- 12x - 8)cosh(x) + (- 12x - 8)cosh(x) - 4x)sinh(x) +--R + +--R 4 3 2 +--R - 6x cosh(x) - 24x cosh(x) + (- 36x - 4)cosh(x) +--R + +--R (- 24x - 8)cosh(x) - 6x - 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 +--R - 4x cosh(x) + (- 20x + 8)cosh(x) + (- 40x + 8)cosh(x) +--R + +--R 2 +--R (- 40x - 8)cosh(x) + (- 20x - 8)cosh(x) - 4x +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R - x cosh(x) + (- 6x + 4)cosh(x) + (- 15x + 6)cosh(x) - 20x cosh(x) +--R + +--R 2 +--R (- 15x - 4)cosh(x) + (- 6x - 4)cosh(x) - x - 2 +--R / +--R 2 4 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) + 12cosh(x) + 12cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 2 +--R (6cosh(x) + 24cosh(x) + 36cosh(x) + 24cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R (4cosh(x) + 20cosh(x) + 40cosh(x) + 40cosh(x) + 20cosh(x) + 4)sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) + 6cosh(x) + 15cosh(x) + 20cosh(x) + 15cosh(x) + 6cosh(x) + 1 +--R Type: Expression Integer +--E 29 + +--S 30 of 518 +d0905:= D(m0905,x) +--R +--R +--R (30) +--R 2 6 +--R (- cosh(x) + 2cosh(x) - 1)sinh(x) +--R + +--R 3 2 5 +--R (- 4cosh(x) + 8cosh(x) + 8cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 4 +--R (- 5cosh(x) + 10cosh(x) + 20cosh(x) - 10cosh(x) - 15)sinh(x) +--R + +--R 6 5 4 3 2 +--R 5cosh(x) - 10cosh(x) - 25cosh(x) + 20cosh(x) + 35cosh(x) +--R + +--R - 10cosh(x) - 15 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 4cosh(x) - 8cosh(x) - 16cosh(x) + 20cosh(x) + 20cosh(x) +--R + +--R 2 +--R - 16cosh(x) - 8cosh(x) + 4 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 2 +--R cosh(x) - 2cosh(x) - 2cosh(x) + 6cosh(x) - 6cosh(x) + 2cosh(x) +--R + +--R 2cosh(x) - 1 +--R / +--R 3 2 5 +--R (cosh(x) + 3cosh(x) + 3cosh(x) + 1)sinh(x) +--R + +--R 4 3 2 4 +--R (5cosh(x) + 20cosh(x) + 30cosh(x) + 20cosh(x) + 5)sinh(x) +--R + +--R 5 4 3 2 +--R (10cosh(x) + 50cosh(x) + 100cosh(x) + 100cosh(x) + 50cosh(x) + 10) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 10cosh(x) + 60cosh(x) + 150cosh(x) + 200cosh(x) + 150cosh(x) +--R + +--R 60cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 5cosh(x) + 35cosh(x) + 105cosh(x) + 175cosh(x) + 175cosh(x) +--R + +--R 2 +--R 105cosh(x) + 35cosh(x) + 5 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 3 +--R cosh(x) + 8cosh(x) + 28cosh(x) + 56cosh(x) + 70cosh(x) + 56cosh(x) +--R + +--R 2 +--R 28cosh(x) + 8cosh(x) + 1 +--R Type: Expression Integer +--E 30 + +--S 31 of 518 +t0906:= -coth(x)+csch(x) +--R +--R +--R (31) csch(x) - coth(x) +--R Type: Expression Integer +--E 31 + +--S 32 of 518 +r0906:= -2*log(cosh(1/2*x)) +--R +--R +--R x +--R (32) - 2log(cosh(-)) +--R 2 +--R Type: Expression Integer +--E 32 + +--S 33 of 518 +a0906:= integrate(t0906,x) +--R +--R +--R (33) - 2log(sinh(x) + cosh(x) + 1) + x +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 518 +m0906:= a0906-r0906 +--R +--R +--R x +--R (34) - 2log(sinh(x) + cosh(x) + 1) + 2log(cosh(-)) + x +--R 2 +--R Type: Expression Integer +--E 34 + +--S 35 of 518 +d0906:= D(m0906,x) +--R +--R +--R (35) +--R x x x x x +--R (sinh(-) - cosh(-))sinh(x) + (cosh(x) + 1)sinh(-) - cosh(-)cosh(x) + cosh(-) +--R 2 2 2 2 2 +--R ---------------------------------------------------------------------------- +--R x x x +--R cosh(-)sinh(x) + cosh(-)cosh(x) + cosh(-) +--R 2 2 2 +--R Type: Expression Integer +--E 35 + +--S 36 of 518 +t0907:= (-coth(x)+csch(x))^3 +--R +--R +--R 3 2 2 3 +--R (36) csch(x) - 3coth(x)csch(x) + 3coth(x) csch(x) - coth(x) +--R Type: Expression Integer +--E 36 + +--S 37 of 518 +r0907:= -2/(1+cosh(x))-log(1+cosh(x)) +--R +--R +--R (- cosh(x) - 1)log(cosh(x) + 1) - 2 +--R (37) ----------------------------------- +--R cosh(x) + 1 +--R Type: Expression Integer +--E 37 + +--S 38 of 518 +a0907:= integrate(t0907,x) +--R +--R +--R (38) +--R 2 2 +--R (- 2sinh(x) + (- 4cosh(x) - 4)sinh(x) - 2cosh(x) - 4cosh(x) - 2) +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R x sinh(x) + (2x cosh(x) + 2x - 4)sinh(x) + x cosh(x) + (2x - 4)cosh(x) +--R + +--R x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2)sinh(x) + cosh(x) + 2cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 518 +m0907:= a0907-r0907 +--R +--R +--R (39) +--R 2 2 +--R (- 2cosh(x) - 2)sinh(x) + (- 4cosh(x) - 8cosh(x) - 4)sinh(x) +--R + +--R 3 2 +--R - 2cosh(x) - 6cosh(x) - 6cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 3 +--R (cosh(x) + 1)sinh(x) + (2cosh(x) + 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R 3cosh(x) + 3cosh(x) + 1 +--R * +--R log(cosh(x) + 1) +--R + +--R 2 2 +--R (x cosh(x) + x + 2)sinh(x) + (2x cosh(x) + 4x cosh(x) + 2x)sinh(x) +--R + +--R 3 2 +--R x cosh(x) + (3x - 2)cosh(x) + 3x cosh(x) + x + 2 +--R / +--R 2 2 3 +--R (cosh(x) + 1)sinh(x) + (2cosh(x) + 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R 3cosh(x) + 3cosh(x) + 1 +--R Type: Expression Integer +--E 39 + +--S 40 of 518 +d0907:= D(m0907,x) +--R +--R +--R (40) +--R 4 2 3 +--R (cosh(x) - 1)sinh(x) + (2cosh(x) - 2cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 5 +--R (- 2cosh(x) + 2cosh(x) + 6cosh(x) - 2cosh(x) - 4)sinh(x) - cosh(x) +--R + +--R 4 3 2 +--R cosh(x) + 2cosh(x) - 2cosh(x) - cosh(x) + 1 +--R / +--R 2 3 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) + 9cosh(x) + 9cosh(x) + 3)sinh(x) +--R + +--R 4 3 2 5 +--R (3cosh(x) + 12cosh(x) + 18cosh(x) + 12cosh(x) + 3)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R 5cosh(x) + 10cosh(x) + 10cosh(x) + 5cosh(x) + 1 +--R Type: Expression Integer +--E 40 + +--S 41 of 518 +t0908:= (-coth(x)+csch(x))^5 +--R +--R +--R (41) +--R 5 4 2 3 3 2 +--R csch(x) - 5coth(x)csch(x) + 10coth(x) csch(x) - 10coth(x) csch(x) +--R + +--R 4 5 +--R 5coth(x) csch(x) - coth(x) +--R Type: Expression Integer +--E 41 + +--S 42 of 518 +r0908:= 2/(1+cosh(x))^2-4/(1+cosh(x))-log(1+cosh(x)) +--R +--R +--R 2 +--R (- cosh(x) - 2cosh(x) - 1)log(cosh(x) + 1) - 4cosh(x) - 2 +--R (42) ---------------------------------------------------------- +--R 2 +--R cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 42 + +--S 43 of 518 +a0908:= integrate(t0908,x) +--R +--R +--R (43) +--R 4 3 +--R - 2sinh(x) + (- 8cosh(x) - 8)sinh(x) +--R + +--R 2 2 +--R (- 12cosh(x) - 24cosh(x) - 12)sinh(x) +--R + +--R 3 2 4 +--R (- 8cosh(x) - 24cosh(x) - 24cosh(x) - 8)sinh(x) - 2cosh(x) +--R + +--R 3 2 +--R - 8cosh(x) - 12cosh(x) - 8cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 4 3 +--R x sinh(x) + (4x cosh(x) + 4x - 8)sinh(x) +--R + +--R 2 2 +--R (6x cosh(x) + (12x - 24)cosh(x) + 6x - 8)sinh(x) +--R + +--R 3 2 +--R (4x cosh(x) + (12x - 24)cosh(x) + (12x - 16)cosh(x) + 4x - 8)sinh(x) +--R + +--R 4 3 2 +--R x cosh(x) + (4x - 8)cosh(x) + (6x - 8)cosh(x) + (4x - 8)cosh(x) + x +--R / +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) + 4)sinh(x) + (6cosh(x) + 12cosh(x) + 6)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) + 12cosh(x) + 12cosh(x) + 4)sinh(x) + cosh(x) + 4cosh(x) +--R + +--R 2 +--R 6cosh(x) + 4cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 518 +m0908:= a0908-r0908 +--R +--R +--R (44) +--R 2 4 +--R (- 2cosh(x) - 4cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (- 8cosh(x) - 24cosh(x) - 24cosh(x) - 8)sinh(x) +--R + +--R 4 3 2 2 +--R (- 12cosh(x) - 48cosh(x) - 72cosh(x) - 48cosh(x) - 12)sinh(x) +--R + +--R 5 4 3 2 +--R - 8cosh(x) - 40cosh(x) - 80cosh(x) - 80cosh(x) - 40cosh(x) +--R + +--R - 8 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 2cosh(x) - 12cosh(x) - 30cosh(x) - 40cosh(x) - 30cosh(x) +--R + +--R - 12cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 4 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) + 12cosh(x) + 12cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 2 +--R (6cosh(x) + 24cosh(x) + 36cosh(x) + 24cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R (4cosh(x) + 20cosh(x) + 40cosh(x) + 40cosh(x) + 20cosh(x) + 4) +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) + 6cosh(x) + 15cosh(x) + 20cosh(x) + 15cosh(x) +--R + +--R 6cosh(x) + 1 +--R * +--R log(cosh(x) + 1) +--R + +--R 2 4 +--R (x cosh(x) + (2x + 4)cosh(x) + x + 2)sinh(x) +--R + +--R 3 2 3 +--R (4x cosh(x) + (12x + 8)cosh(x) + (12x + 8)cosh(x) + 4x)sinh(x) +--R + +--R 4 3 2 +--R 6x cosh(x) + 24x cosh(x) + (36x + 4)cosh(x) + (24x + 8)cosh(x) +--R + +--R 6x + 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 +--R 4x cosh(x) + (20x - 8)cosh(x) + (40x - 8)cosh(x) +--R + +--R 2 +--R (40x + 8)cosh(x) + (20x + 8)cosh(x) + 4x +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R x cosh(x) + (6x - 4)cosh(x) + (15x - 6)cosh(x) + 20x cosh(x) +--R + +--R 2 +--R (15x + 4)cosh(x) + (6x + 4)cosh(x) + x + 2 +--R / +--R 2 4 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) + 12cosh(x) + 12cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 2 +--R (6cosh(x) + 24cosh(x) + 36cosh(x) + 24cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R (4cosh(x) + 20cosh(x) + 40cosh(x) + 40cosh(x) + 20cosh(x) + 4)sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) + 6cosh(x) + 15cosh(x) + 20cosh(x) + 15cosh(x) + 6cosh(x) + 1 +--R Type: Expression Integer +--E 44 + +--S 45 of 518 +d0908:= D(m0908,x) +--R +--R +--R (45) +--R 2 6 +--R (cosh(x) - 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 5 +--R (4cosh(x) - 8cosh(x) - 8cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 4 +--R (5cosh(x) - 10cosh(x) - 20cosh(x) + 10cosh(x) + 15)sinh(x) +--R + +--R 6 5 4 3 2 +--R - 5cosh(x) + 10cosh(x) + 25cosh(x) - 20cosh(x) - 35cosh(x) +--R + +--R 10cosh(x) + 15 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 4cosh(x) + 8cosh(x) + 16cosh(x) - 20cosh(x) - 20cosh(x) +--R + +--R 2 +--R 16cosh(x) + 8cosh(x) - 4 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 2 +--R - cosh(x) + 2cosh(x) + 2cosh(x) - 6cosh(x) + 6cosh(x) - 2cosh(x) +--R + +--R - 2cosh(x) + 1 +--R / +--R 3 2 5 +--R (cosh(x) + 3cosh(x) + 3cosh(x) + 1)sinh(x) +--R + +--R 4 3 2 4 +--R (5cosh(x) + 20cosh(x) + 30cosh(x) + 20cosh(x) + 5)sinh(x) +--R + +--R 5 4 3 2 +--R (10cosh(x) + 50cosh(x) + 100cosh(x) + 100cosh(x) + 50cosh(x) + 10) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 10cosh(x) + 60cosh(x) + 150cosh(x) + 200cosh(x) + 150cosh(x) +--R + +--R 60cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 5cosh(x) + 35cosh(x) + 105cosh(x) + 175cosh(x) + 175cosh(x) +--R + +--R 2 +--R 105cosh(x) + 35cosh(x) + 5 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 3 +--R cosh(x) + 8cosh(x) + 28cosh(x) + 56cosh(x) + 70cosh(x) + 56cosh(x) +--R + +--R 2 +--R 28cosh(x) + 8cosh(x) + 1 +--R Type: Expression Integer +--E 45 + +--S 46 of 518 +t0909:= 1/(-coth(x)+csch(x)) +--R +--R +--R 1 +--R (46) ----------------- +--R csch(x) - coth(x) +--R Type: Expression Integer +--E 46 + +--S 47 of 518 +r0909:= -log(1-cosh(x)) +--R +--R +--R (47) - log(- cosh(x) + 1) +--R Type: Expression Integer +--E 47 + +--S 48 of 518 +a0909:= integrate(t0909,x) +--R +--R +--R (48) - 2log(sinh(x) + cosh(x) - 1) + x +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 518 +m0909:= a0909-r0909 +--R +--R +--R (49) - 2log(sinh(x) + cosh(x) - 1) + log(- cosh(x) + 1) + x +--R Type: Expression Integer +--E 49 + +--S 50 of 518 +d0909:= D(m0909,x) +--R +--R +--R 2 2 +--R sinh(x) - cosh(x) + 1 +--R (50) ---------------------------------------------- +--R 2 +--R (cosh(x) - 1)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 50 + +--S 51 of 518 +t0910:= 1/(-coth(x)+csch(x))^2 +--R +--R +--R 1 +--R (51) ------------------------------------- +--R 2 2 +--R csch(x) - 2coth(x)csch(x) + coth(x) +--R Type: Expression Integer +--E 51 + +--S 52 of 518 +r0910:= x-2*coth(1/2*x) +--R +--R +--R x +--R (52) - 2coth(-) + x +--R 2 +--R Type: Expression Integer +--E 52 + +--S 3 of 518 +a0910:= integrate(t0910,x) +--R +--R +--R x sinh(x) + x cosh(x) - x - 4 +--R (53) ----------------------------- +--R sinh(x) + cosh(x) - 1 +--R Type: Union(Expression Integer,...) +--E 3 + +--S 54 of 518 +m0910:= a0910-r0910 +--R +--R +--R x x +--R 2coth(-)sinh(x) + (2cosh(x) - 2)coth(-) - 4 +--R 2 2 +--R (54) ------------------------------------------- +--R sinh(x) + cosh(x) - 1 +--R Type: Expression Integer +--E 54 + +--S 55 of 518 +d0910:= D(m0910,x) +--R +--R +--R (55) +--R x 2 2 +--R (- coth(-) + 1)sinh(x) +--R 2 +--R + +--R x 2 +--R ((- 2cosh(x) + 2)coth(-) + 2cosh(x) + 2)sinh(x) +--R 2 +--R + +--R 2 x 2 2 +--R (- cosh(x) + 2cosh(x) - 1)coth(-) + cosh(x) + 2cosh(x) + 1 +--R 2 +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) - 2)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 55 + +--S 56 of 518 +t0911:= 1/(-coth(x)+csch(x))^3 +--R +--R +--R 1 +--R (56) --------------------------------------------------------- +--R 3 2 2 3 +--R csch(x) - 3coth(x)csch(x) + 3coth(x) csch(x) - coth(x) +--R Type: Expression Integer +--E 56 + +--S 57 of 518 +r0911:= -2/(1-cosh(x))-log(1-cosh(x)) +--R +--R +--R (- cosh(x) + 1)log(- cosh(x) + 1) + 2 +--R (57) ------------------------------------- +--R cosh(x) - 1 +--R Type: Expression Integer +--E 57 + +--S 58 of 518 +a0911:= integrate(t0911,x) +--R +--R +--R (58) +--R 2 2 +--R (- 2sinh(x) + (- 4cosh(x) + 4)sinh(x) - 2cosh(x) + 4cosh(x) - 2) +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 +--R x sinh(x) + (2x cosh(x) - 2x + 4)sinh(x) + x cosh(x) +--R + +--R (- 2x + 4)cosh(x) + x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) - 2)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 518 +m0911:= a0911-r0911 +--R +--R +--R (59) +--R 2 2 +--R (- 2cosh(x) + 2)sinh(x) + (- 4cosh(x) + 8cosh(x) - 4)sinh(x) +--R + +--R 3 2 +--R - 2cosh(x) + 6cosh(x) - 6cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 3 +--R (cosh(x) - 1)sinh(x) + (2cosh(x) - 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R - 3cosh(x) + 3cosh(x) - 1 +--R * +--R log(- cosh(x) + 1) +--R + +--R 2 2 +--R (x cosh(x) - x - 2)sinh(x) + (2x cosh(x) - 4x cosh(x) + 2x)sinh(x) +--R + +--R 3 2 +--R x cosh(x) + (- 3x + 2)cosh(x) + 3x cosh(x) - x - 2 +--R / +--R 2 2 3 +--R (cosh(x) - 1)sinh(x) + (2cosh(x) - 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R - 3cosh(x) + 3cosh(x) - 1 +--R Type: Expression Integer +--E 59 + +--S 60 of 518 +d0911:= D(m0911,x) +--R +--R +--R (60) +--R 4 2 3 +--R (cosh(x) + 1)sinh(x) + (2cosh(x) + 2cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 5 +--R (- 2cosh(x) - 2cosh(x) + 6cosh(x) + 2cosh(x) - 4)sinh(x) - cosh(x) +--R + +--R 4 3 2 +--R - cosh(x) + 2cosh(x) + 2cosh(x) - cosh(x) - 1 +--R / +--R 2 3 +--R (cosh(x) - 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) - 9cosh(x) + 9cosh(x) - 3)sinh(x) +--R + +--R 4 3 2 5 +--R (3cosh(x) - 12cosh(x) + 18cosh(x) - 12cosh(x) + 3)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R - 5cosh(x) + 10cosh(x) - 10cosh(x) + 5cosh(x) - 1 +--R Type: Expression Integer +--E 60 + +--S 61 of 518 +t0912:= 1/(-coth(x)+csch(x))^4 +--R +--R +--R (61) +--R 1 +--R ----------------------------------------------------------------------------- +--R 4 3 2 2 3 4 +--R csch(x) - 4coth(x)csch(x) + 6coth(x) csch(x) - 4coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 61 + +--S 62 of 518 +r0912:= x-2*coth(1/2*x)-2/3*coth(1/2*x)^3 +--R +--R +--R x 3 x +--R - 2coth(-) - 6coth(-) + 3x +--R 2 2 +--R (62) --------------------------- +--R 3 +--R Type: Expression Integer +--E 62 + +--S 63 of 518 +a0912:= integrate(t0912,x) +--R +--R +--R (63) +--R 2 2 +--R 3x sinh(x) + (6x cosh(x) - 6x - 8)sinh(x) + 3x cosh(x) +--R + +--R (- 12x - 40)cosh(x) + 9x + 24 +--R / +--R 2 2 +--R 3sinh(x) + (6cosh(x) - 6)sinh(x) + 3cosh(x) - 12cosh(x) + 9 +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 518 +m0912:= a0912-r0912 +--R +--R +--R (64) +--R x 3 x 2 +--R (2coth(-) + 6coth(-))sinh(x) +--R 2 2 +--R + +--R x 3 x +--R ((4cosh(x) - 4)coth(-) + (12cosh(x) - 12)coth(-) - 8)sinh(x) +--R 2 2 +--R + +--R 2 x 3 2 x +--R (2cosh(x) - 8cosh(x) + 6)coth(-) + (6cosh(x) - 24cosh(x) + 18)coth(-) +--R 2 2 +--R + +--R - 40cosh(x) + 24 +--R / +--R 2 2 +--R 3sinh(x) + (6cosh(x) - 6)sinh(x) + 3cosh(x) - 12cosh(x) + 9 +--R Type: Expression Integer +--E 64 + +--S 65 of 518 +d0912:= D(m0912,x) +--R +--R +--R (65) +--R x 4 4 +--R (- coth(-) + 1)sinh(x) +--R 2 +--R + +--R x 4 3 +--R ((- 4cosh(x) + 4)coth(-) + 4cosh(x) - 12)sinh(x) +--R 2 +--R + +--R 2 x 4 2 +--R ((- 6cosh(x) + 16cosh(x) - 10)coth(-) + 6cosh(x) - 8cosh(x) + 10) +--R 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 x 4 3 +--R (- 4cosh(x) + 20cosh(x) - 28cosh(x) + 12)coth(-) + 4cosh(x) +--R 2 +--R + +--R 2 +--R 20cosh(x) - 4cosh(x) - 20 +--R * +--R sinh(x) +--R + +--R 4 3 2 x 4 4 +--R (- cosh(x) + 8cosh(x) - 22cosh(x) + 24cosh(x) - 9)coth(-) + cosh(x) +--R 2 +--R + +--R 3 2 +--R 16cosh(x) - 10cosh(x) - 16cosh(x) + 9 +--R / +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) - 4)sinh(x) + (6cosh(x) - 16cosh(x) + 10)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) - 20cosh(x) + 28cosh(x) - 12)sinh(x) + cosh(x) - 8cosh(x) +--R + +--R 2 +--R 22cosh(x) - 24cosh(x) + 9 +--R Type: Expression Integer +--E 65 + +--S 66 of 518 +t0913:= 1/(-coth(x)+csch(x))^5 +--R +--R +--R (66) +--R 1 +--R / +--R 5 4 2 3 3 2 +--R csch(x) - 5coth(x)csch(x) + 10coth(x) csch(x) - 10coth(x) csch(x) +--R + +--R 4 5 +--R 5coth(x) csch(x) - coth(x) +--R Type: Expression Integer +--E 66 + +--S 67 of 518 +r0913:= 2/(1-cosh(x))^2-4/(1-cosh(x))-log(1-cosh(x)) +--R +--R +--R 2 +--R (- cosh(x) + 2cosh(x) - 1)log(- cosh(x) + 1) + 4cosh(x) - 2 +--R (67) ------------------------------------------------------------ +--R 2 +--R cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 67 + +--S 68 of 518 +a0913:= integrate(t0913,x) +--R +--R +--R (68) +--R 4 3 +--R - 2sinh(x) + (- 8cosh(x) + 8)sinh(x) +--R + +--R 2 2 +--R (- 12cosh(x) + 24cosh(x) - 12)sinh(x) +--R + +--R 3 2 4 +--R (- 8cosh(x) + 24cosh(x) - 24cosh(x) + 8)sinh(x) - 2cosh(x) +--R + +--R 3 2 +--R 8cosh(x) - 12cosh(x) + 8cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 4 3 +--R x sinh(x) + (4x cosh(x) - 4x + 8)sinh(x) +--R + +--R 2 2 +--R (6x cosh(x) + (- 12x + 24)cosh(x) + 6x - 8)sinh(x) +--R + +--R 3 2 +--R (4x cosh(x) + (- 12x + 24)cosh(x) + (12x - 16)cosh(x) - 4x + 8)sinh(x) +--R + +--R 4 3 2 +--R x cosh(x) + (- 4x + 8)cosh(x) + (6x - 8)cosh(x) + (- 4x + 8)cosh(x) + x +--R / +--R 4 3 2 2 +--R sinh(x) + (4cosh(x) - 4)sinh(x) + (6cosh(x) - 12cosh(x) + 6)sinh(x) +--R + +--R 3 2 4 3 +--R (4cosh(x) - 12cosh(x) + 12cosh(x) - 4)sinh(x) + cosh(x) - 4cosh(x) +--R + +--R 2 +--R 6cosh(x) - 4cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 518 +m0913:= a0913-r0913 +--R +--R +--R (69) +--R 2 4 +--R (- 2cosh(x) + 4cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (- 8cosh(x) + 24cosh(x) - 24cosh(x) + 8)sinh(x) +--R + +--R 4 3 2 2 +--R (- 12cosh(x) + 48cosh(x) - 72cosh(x) + 48cosh(x) - 12)sinh(x) +--R + +--R 5 4 3 2 +--R - 8cosh(x) + 40cosh(x) - 80cosh(x) + 80cosh(x) - 40cosh(x) +--R + +--R 8 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 2cosh(x) + 12cosh(x) - 30cosh(x) + 40cosh(x) - 30cosh(x) +--R + +--R 12cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 4 +--R (cosh(x) - 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) - 12cosh(x) + 12cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 2 +--R (6cosh(x) - 24cosh(x) + 36cosh(x) - 24cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R (4cosh(x) - 20cosh(x) + 40cosh(x) - 40cosh(x) + 20cosh(x) - 4) +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) - 6cosh(x) + 15cosh(x) - 20cosh(x) + 15cosh(x) +--R + +--R - 6cosh(x) + 1 +--R * +--R log(- cosh(x) + 1) +--R + +--R 2 4 +--R (x cosh(x) + (- 2x - 4)cosh(x) + x + 2)sinh(x) +--R + +--R 3 2 3 +--R (4x cosh(x) + (- 12x - 8)cosh(x) + (12x + 8)cosh(x) - 4x)sinh(x) +--R + +--R 4 3 2 +--R 6x cosh(x) - 24x cosh(x) + (36x + 4)cosh(x) + (- 24x - 8)cosh(x) +--R + +--R 6x + 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 +--R 4x cosh(x) + (- 20x + 8)cosh(x) + (40x - 8)cosh(x) +--R + +--R 2 +--R (- 40x - 8)cosh(x) + (20x + 8)cosh(x) - 4x +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R x cosh(x) + (- 6x + 4)cosh(x) + (15x - 6)cosh(x) - 20x cosh(x) +--R + +--R 2 +--R (15x + 4)cosh(x) + (- 6x - 4)cosh(x) + x + 2 +--R / +--R 2 4 +--R (cosh(x) - 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) - 12cosh(x) + 12cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 2 +--R (6cosh(x) - 24cosh(x) + 36cosh(x) - 24cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R (4cosh(x) - 20cosh(x) + 40cosh(x) - 40cosh(x) + 20cosh(x) - 4)sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) - 6cosh(x) + 15cosh(x) - 20cosh(x) + 15cosh(x) - 6cosh(x) + 1 +--R Type: Expression Integer +--E 69 + +--S 70 of 518 +d0913:= D(m0913,x) +--R +--R +--R (70) +--R 2 6 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 5 +--R (4cosh(x) + 8cosh(x) - 8cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 4 +--R (5cosh(x) + 10cosh(x) - 20cosh(x) - 10cosh(x) + 15)sinh(x) +--R + +--R 6 5 4 3 2 +--R - 5cosh(x) - 10cosh(x) + 25cosh(x) + 20cosh(x) - 35cosh(x) +--R + +--R - 10cosh(x) + 15 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 4cosh(x) - 8cosh(x) + 16cosh(x) + 20cosh(x) - 20cosh(x) +--R + +--R 2 +--R - 16cosh(x) + 8cosh(x) + 4 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 2 +--R - cosh(x) - 2cosh(x) + 2cosh(x) + 6cosh(x) - 6cosh(x) - 2cosh(x) +--R + +--R 2cosh(x) + 1 +--R / +--R 3 2 5 +--R (cosh(x) - 3cosh(x) + 3cosh(x) - 1)sinh(x) +--R + +--R 4 3 2 4 +--R (5cosh(x) - 20cosh(x) + 30cosh(x) - 20cosh(x) + 5)sinh(x) +--R + +--R 5 4 3 2 +--R (10cosh(x) - 50cosh(x) + 100cosh(x) - 100cosh(x) + 50cosh(x) - 10) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 10cosh(x) - 60cosh(x) + 150cosh(x) - 200cosh(x) + 150cosh(x) +--R + +--R - 60cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 5cosh(x) - 35cosh(x) + 105cosh(x) - 175cosh(x) + 175cosh(x) +--R + +--R 2 +--R - 105cosh(x) + 35cosh(x) - 5 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 3 +--R cosh(x) - 8cosh(x) + 28cosh(x) - 56cosh(x) + 70cosh(x) - 56cosh(x) +--R + +--R 2 +--R 28cosh(x) - 8cosh(x) + 1 +--R Type: Expression Integer +--E 70 + +--S 71 of 518 +t0914:= (csch(x)+sinh(x))^(1/2) +--R +--R +--R +-----------------+ +--R (71) \|sinh(x) + csch(x) +--R Type: Expression Integer +--E 71 + +--S 72 of 518 +r0914:= 2*(cosh(x)*coth(x))^(1/2)*tanh(x) +--R +--R +--R +--------------+ +--R (72) 2tanh(x)\|cosh(x)coth(x) +--R Type: Expression Integer +--E 72 + +--S 73 of 518 +a0914:= integrate(t0914,x) +--R +--R +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R (73) ------------------------------------------------ +--R sinh(x) + cosh(x) +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 518 +m0914:= a0914-r0914 +--R +--R +--R (74) +--R +--------------+ +--R (- 2sinh(x) - 2cosh(x))tanh(x)\|cosh(x)coth(x) +--R + +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R sinh(x) + cosh(x) +--R Type: Expression Integer +--E 74 + +--S 75 of 518 +d0914:= D(m0914,x) +--R +--R +--R (75) +--R 2 2 +--------------+ +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 1)\|cosh(x)coth(x) +--R + +--R 2 3 2 +--R (2cosh(x)coth(x)sinh(x) - 2cosh(x) coth(x))tanh(x) +--R + +--R 3 2 2 +--R - coth(x)sinh(x) + (cosh(x)coth(x) - cosh(x))sinh(x) +--R + +--R 2 3 2 3 +--R cosh(x) coth(x)sinh(x) - cosh(x) coth(x) + cosh(x) +--R * +--R tanh(x) +--R + +--R 2 3 +--R - 2cosh(x)coth(x)sinh(x) + 2cosh(x) coth(x) +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R +---------------------------------------------+ +--R | 2 2 +--R 2 2 |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R (sinh(x) - cosh(x) ) |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R * +--R +--------------+ +--R \|cosh(x)coth(x) +--R Type: Expression Integer +--E 75 + +--S 76 of 518 +t0915:= (csch(x)+sinh(x))^(3/2) +--R +--R +--R +-----------------+ +--R (76) (sinh(x) + csch(x))\|sinh(x) + csch(x) +--R Type: Expression Integer +--E 76 + +--S 77 of 518 +r0915:= -2/3*(4-cosh(x)^2)*(cosh(x)*coth(x))^(1/2)*sech(x) +--R +--R +--R 2 +--------------+ +--R (2cosh(x) - 8)sech(x)\|cosh(x)coth(x) +--R (77) --------------------------------------- +--R 3 +--R Type: Expression Integer +--E 77 + +--S 78 of 518 +a0915:= integrate(t0915,x) +--R +--R +--R (78) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 14)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 28cosh(x))sinh(x) + cosh(x) - 14cosh(x) + 1 +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R 4 3 2 2 +--R 6sinh(x) + 24cosh(x)sinh(x) + (36cosh(x) - 6)sinh(x) +--R + +--R 3 4 2 +--R (24cosh(x) - 12cosh(x))sinh(x) + 6cosh(x) - 6cosh(x) +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 518 +m0915:= a0915-r0915 +--R +--R +--R (79) +--R 2 4 +--R (- 4cosh(x) + 16)sech(x)sinh(x) +--R + +--R 3 3 +--R (- 16cosh(x) + 64cosh(x))sech(x)sinh(x) +--R + +--R 4 2 2 +--R (- 24cosh(x) + 100cosh(x) - 16)sech(x)sinh(x) +--R + +--R 5 3 +--R (- 16cosh(x) + 72cosh(x) - 32cosh(x))sech(x)sinh(x) +--R + +--R 6 4 2 +--R (- 4cosh(x) + 20cosh(x) - 16cosh(x) )sech(x) +--R * +--R +--------------+ +--R \|cosh(x)coth(x) +--R + +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 14)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 28cosh(x))sinh(x) + cosh(x) - 14cosh(x) + 1 +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R 4 3 2 2 +--R 6sinh(x) + 24cosh(x)sinh(x) + (36cosh(x) - 6)sinh(x) +--R + +--R 3 4 2 +--R (24cosh(x) - 12cosh(x))sinh(x) + 6cosh(x) - 6cosh(x) +--R Type: Expression Integer +--E 79 + +--S 80 of 518 +d0915:= D(m0915,x) +--R +--R +--R (80) +--R 6 5 2 4 +--R - 3sinh(x) - 18cosh(x)sinh(x) + (- 45cosh(x) - 9)sinh(x) +--R + +--R 3 3 +--R (- 60cosh(x) - 36cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 45cosh(x) - 54cosh(x) - 9)sinh(x) +--R + +--R 5 3 6 +--R (- 18cosh(x) - 36cosh(x) - 18cosh(x))sinh(x) - 3cosh(x) +--R + +--R 4 2 +--R - 9cosh(x) - 9cosh(x) - 3 +--R * +--R +--------------+ +--R \|cosh(x)coth(x) +--R + +--R 3 5 +--R (4cosh(x) - 16cosh(x))coth(x)sech(x)sinh(x) +--R + +--R 4 2 4 +--R (12cosh(x) - 48cosh(x) )coth(x)sech(x)sinh(x) +--R + +--R 5 3 3 +--R (8cosh(x) - 36cosh(x) + 16cosh(x))coth(x)sech(x)sinh(x) +--R + +--R 6 4 2 2 +--R (- 8cosh(x) + 28cosh(x) + 16cosh(x) )coth(x)sech(x)sinh(x) +--R + +--R 7 5 3 +--R (- 12cosh(x) + 52cosh(x) - 16cosh(x) )coth(x)sech(x)sinh(x) +--R + +--R 8 6 4 +--R (- 4cosh(x) + 20cosh(x) - 16cosh(x) )coth(x)sech(x) +--R * +--R tanh(x) +--R + +--R 2 6 +--R (- 10cosh(x) + 8)coth(x)sech(x)sinh(x) +--R + +--R 3 2 +--R (2cosh(x) - 8cosh(x))coth(x) +--R + +--R 3 3 +--R (- 30cosh(x) + 24cosh(x))coth(x) - 2cosh(x) + 8cosh(x) +--R * +--R 5 +--R sech(x)sinh(x) +--R + +--R 4 2 2 +--R (6cosh(x) - 24cosh(x) )coth(x) +--R + +--R 4 2 4 2 +--R (- 20cosh(x) + 26cosh(x) - 8)coth(x) - 6cosh(x) + 24cosh(x) +--R * +--R 4 +--R sech(x)sinh(x) +--R + +--R 5 3 2 +--R (4cosh(x) - 18cosh(x) + 8cosh(x))coth(x) +--R + +--R 5 3 5 +--R (20cosh(x) - 6cosh(x) - 8cosh(x))coth(x) - 4cosh(x) +--R + +--R 3 +--R 18cosh(x) - 8cosh(x) +--R * +--R 3 +--R sech(x)sinh(x) +--R + +--R 6 4 2 2 +--R (- 4cosh(x) + 14cosh(x) + 8cosh(x) )coth(x) +--R + +--R 6 4 2 6 +--R (30cosh(x) - 34cosh(x) + 8cosh(x) )coth(x) + 4cosh(x) +--R + +--R 4 2 +--R - 14cosh(x) - 8cosh(x) +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 7 5 3 2 +--R (- 6cosh(x) + 26cosh(x) - 8cosh(x) )coth(x) +--R + +--R 7 5 3 7 +--R (10cosh(x) - 18cosh(x) + 8cosh(x) )coth(x) + 6cosh(x) +--R + +--R 5 3 +--R - 26cosh(x) + 8cosh(x) +--R * +--R sech(x)sinh(x) +--R + +--R 8 6 4 2 8 +--R (- 2cosh(x) + 10cosh(x) - 8cosh(x) )coth(x) + 2cosh(x) +--R + +--R 6 4 +--R - 10cosh(x) + 8cosh(x) +--R * +--R sech(x) +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R 5 4 2 3 +--R 6sinh(x) + 18cosh(x)sinh(x) + (12cosh(x) - 6)sinh(x) +--R + +--R 3 2 4 2 +--R (- 12cosh(x) - 6cosh(x))sinh(x) + (- 18cosh(x) + 6cosh(x) )sinh(x) +--R + +--R 5 3 +--R - 6cosh(x) + 6cosh(x) +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--------------+ +--R |--------------------------------------------- \|cosh(x)coth(x) +--R \| sinh(x) - cosh(x) +--R Type: Expression Integer +--E 80 + +--S 81 of 518 +t0916:= (csch(x)+sinh(x))^(5/2) +--R +--R +--R 2 2 +-----------------+ +--R (81) (sinh(x) + 2csch(x)sinh(x) + csch(x) )\|sinh(x) + csch(x) +--R Type: Expression Integer +--E 81 + +--S 82 of 518 +r0916:= 2/15*(cosh(x)*coth(x))^(1/2)*(32-(8-3*cosh(x)^2)*coth(x)^2)*tanh(x) +--R +--R +--R 2 2 +--------------+ +--R ((6cosh(x) - 16)coth(x) + 64)tanh(x)\|cosh(x)coth(x) +--R (82) ------------------------------------------------------- +--R 15 +--R Type: Expression Integer +--E 82 + +--S 83 of 518 +a0916:= integrate(t0916,x) +--R +--R +--R (83) +--R 8 7 2 6 +--R 3sinh(x) + 24cosh(x)sinh(x) + (84cosh(x) + 108)sinh(x) +--R + +--R 3 5 +--R (168cosh(x) + 648cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (210cosh(x) + 1620cosh(x) - 302)sinh(x) +--R + +--R 5 3 3 +--R (168cosh(x) + 2160cosh(x) - 1208cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (84cosh(x) + 1620cosh(x) - 1812cosh(x) + 108)sinh(x) +--R + +--R 7 5 3 +--R (24cosh(x) + 648cosh(x) - 1208cosh(x) + 216cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 3cosh(x) + 108cosh(x) - 302cosh(x) + 108cosh(x) + 3 +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R 7 6 2 5 +--R 60sinh(x) + 420cosh(x)sinh(x) + (1260cosh(x) - 120)sinh(x) +--R + +--R 3 4 +--R (2100cosh(x) - 600cosh(x))sinh(x) +--R + +--R 4 2 3 +--R (2100cosh(x) - 1200cosh(x) + 60)sinh(x) +--R + +--R 5 3 2 +--R (1260cosh(x) - 1200cosh(x) + 180cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (420cosh(x) - 600cosh(x) + 180cosh(x) )sinh(x) + 60cosh(x) +--R + +--R 5 3 +--R - 120cosh(x) + 60cosh(x) +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 518 +m0916:= a0916-r0916 +--R +--R +--R (84) +--R 2 2 7 +--R ((- 24cosh(x) + 64)coth(x) - 256)sinh(x) +--R + +--R 3 2 6 +--R ((- 168cosh(x) + 448cosh(x))coth(x) - 1792cosh(x))sinh(x) +--R + +--R 4 2 2 2 +--R ((- 504cosh(x) + 1392cosh(x) - 128)coth(x) - 5376cosh(x) + 512) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 2 +--R (- 840cosh(x) + 2480cosh(x) - 640cosh(x))coth(x) +--R + +--R 3 +--R - 8960cosh(x) + 2560cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 6 4 2 2 +--R (- 840cosh(x) + 2720cosh(x) - 1304cosh(x) + 64)coth(x) +--R + +--R 4 2 +--R - 8960cosh(x) + 5120cosh(x) - 256 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 5 3 +--R (- 504cosh(x) + 1824cosh(x) - 1352cosh(x) + 192cosh(x)) +--R * +--R 2 +--R coth(x) +--R + +--R 5 3 +--R - 5376cosh(x) + 5120cosh(x) - 768cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 6 4 2 2 +--R (- 168cosh(x) + 688cosh(x) - 712cosh(x) + 192cosh(x) )coth(x) +--R + +--R 6 4 2 +--R - 1792cosh(x) + 2560cosh(x) - 768cosh(x) +--R * +--R sinh(x) +--R + +--R 9 7 5 3 2 +--R (- 24cosh(x) + 112cosh(x) - 152cosh(x) + 64cosh(x) )coth(x) +--R + +--R 7 5 3 +--R - 256cosh(x) + 512cosh(x) - 256cosh(x) +--R * +--R +--------------+ +--R tanh(x)\|cosh(x)coth(x) +--R + +--R 8 7 2 6 +--R 3sinh(x) + 24cosh(x)sinh(x) + (84cosh(x) + 108)sinh(x) +--R + +--R 3 5 +--R (168cosh(x) + 648cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (210cosh(x) + 1620cosh(x) - 302)sinh(x) +--R + +--R 5 3 3 +--R (168cosh(x) + 2160cosh(x) - 1208cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (84cosh(x) + 1620cosh(x) - 1812cosh(x) + 108)sinh(x) +--R + +--R 7 5 3 +--R (24cosh(x) + 648cosh(x) - 1208cosh(x) + 216cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 3cosh(x) + 108cosh(x) - 302cosh(x) + 108cosh(x) + 3 +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R 7 6 2 5 +--R 60sinh(x) + 420cosh(x)sinh(x) + (1260cosh(x) - 120)sinh(x) +--R + +--R 3 4 +--R (2100cosh(x) - 600cosh(x))sinh(x) +--R + +--R 4 2 3 +--R (2100cosh(x) - 1200cosh(x) + 60)sinh(x) +--R + +--R 5 3 2 +--R (1260cosh(x) - 1200cosh(x) + 180cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (420cosh(x) - 600cosh(x) + 180cosh(x) )sinh(x) + 60cosh(x) +--R + +--R 5 3 +--R - 120cosh(x) + 60cosh(x) +--R Type: Expression Integer +--E 84 + +--S 85 of 518 +d0916:= D(m0916,x) +--R +--R +--R (85) +--R 10 9 2 8 +--R - 15sinh(x) - 150cosh(x)sinh(x) + (- 675cosh(x) - 75)sinh(x) +--R + +--R 3 7 +--R (- 1800cosh(x) - 600cosh(x))sinh(x) +--R + +--R 4 2 6 +--R (- 3150cosh(x) - 2100cosh(x) - 150)sinh(x) +--R + +--R 5 3 5 +--R (- 3780cosh(x) - 4200cosh(x) - 900cosh(x))sinh(x) +--R + +--R 6 4 2 4 +--R (- 3150cosh(x) - 5250cosh(x) - 2250cosh(x) - 150)sinh(x) +--R + +--R 7 5 3 3 +--R (- 1800cosh(x) - 4200cosh(x) - 3000cosh(x) - 600cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 675cosh(x) - 2100cosh(x) - 2250cosh(x) - 900cosh(x) - 75) +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 150cosh(x) - 600cosh(x) - 900cosh(x) - 600cosh(x) +--R + +--R - 150cosh(x) +--R * +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R - 15cosh(x) - 75cosh(x) - 150cosh(x) - 150cosh(x) - 75cosh(x) +--R + +--R - 15 +--R * +--R +--------------+ +--R \|cosh(x)coth(x) +--R + +--R 3 3 8 +--R ((24cosh(x) - 64cosh(x))coth(x) + 256cosh(x)coth(x))sinh(x) +--R + +--R 4 2 3 2 +--R ((144cosh(x) - 384cosh(x) )coth(x) + 1536cosh(x) coth(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 3 3 +--R (336cosh(x) - 944cosh(x) + 128cosh(x))coth(x) +--R + +--R 3 +--R (3584cosh(x) - 512cosh(x))coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 6 4 2 3 +--R (336cosh(x) - 1088cosh(x) + 512cosh(x) )coth(x) +--R + +--R 4 2 +--R (3584cosh(x) - 2048cosh(x) )coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 +--R (- 240cosh(x) + 664cosh(x) - 64cosh(x))coth(x) +--R + +--R 3 +--R (- 2560cosh(x) + 256cosh(x))coth(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (- 336cosh(x) + 896cosh(x) + 48cosh(x) - 128cosh(x) ) +--R * +--R 3 +--R coth(x) +--R + +--R 6 2 +--R (- 3584cosh(x) + 512cosh(x) )coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (- 336cosh(x) + 1136cosh(x) - 640cosh(x) )coth(x) +--R + +--R 7 5 +--R (- 3584cosh(x) + 2560cosh(x) )coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 10 8 6 4 +--R (- 144cosh(x) + 576cosh(x) - 560cosh(x) + 128cosh(x) ) +--R * +--R 3 +--R coth(x) +--R + +--R 8 6 4 +--R (- 1536cosh(x) + 2048cosh(x) - 512cosh(x) )coth(x) +--R * +--R sinh(x) +--R + +--R 11 9 7 5 3 +--R (- 24cosh(x) + 112cosh(x) - 152cosh(x) + 64cosh(x) )coth(x) +--R + +--R 9 7 5 +--R (- 256cosh(x) + 512cosh(x) - 256cosh(x) )coth(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 3 9 +--R ((- 60cosh(x) + 32)coth(x) - 128coth(x))sinh(x) +--R + +--R 3 4 +--R (60cosh(x) - 160cosh(x))coth(x) +--R + +--R 3 3 +--R (- 360cosh(x) + 192cosh(x))coth(x) +--R + +--R 3 2 +--R (- 60cosh(x) + 288cosh(x))coth(x) - 768cosh(x)coth(x) +--R + +--R - 128cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 4 +--R (360cosh(x) - 960cosh(x) )coth(x) +--R + +--R 4 2 3 +--R (- 840cosh(x) + 568cosh(x) - 64)coth(x) +--R + +--R 4 2 2 +--R (- 360cosh(x) + 1728cosh(x) )coth(x) +--R + +--R 2 2 +--R (- 1792cosh(x) + 256)coth(x) - 768cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 5 3 4 +--R (840cosh(x) - 2360cosh(x) + 320cosh(x))coth(x) +--R + +--R 5 3 3 +--R (- 840cosh(x) + 928cosh(x) - 256cosh(x))coth(x) +--R + +--R 5 3 2 +--R (- 840cosh(x) + 4152cosh(x) - 576cosh(x))coth(x) +--R + +--R 3 3 +--R (- 1792cosh(x) + 1024cosh(x))coth(x) - 1792cosh(x) +--R + +--R 256cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 6 4 2 4 +--R (840cosh(x) - 2720cosh(x) + 1280cosh(x) )coth(x) +--R + +--R 4 2 3 +--R (600cosh(x) - 380cosh(x) + 32)coth(x) +--R + +--R 6 4 2 2 +--R (- 840cosh(x) + 4512cosh(x) - 2304cosh(x) )coth(x) +--R + +--R 2 4 2 +--R (1280cosh(x) - 128)coth(x) - 1792cosh(x) + 1024cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 4 +--R (- 600cosh(x) + 1660cosh(x) - 160cosh(x))coth(x) +--R + +--R 7 5 3 3 +--R (840cosh(x) - 448cosh(x) - 120cosh(x) + 64cosh(x))coth(x) +--R + +--R 5 3 2 +--R (600cosh(x) - 2940cosh(x) + 288cosh(x))coth(x) +--R + +--R 5 3 +--R (1792cosh(x) - 256cosh(x))coth(x) + 1280cosh(x) - 128cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (- 840cosh(x) + 2240cosh(x) + 120cosh(x) - 320cosh(x) ) +--R * +--R 4 +--R coth(x) +--R + +--R 8 6 4 3 +--R (840cosh(x) - 1048cosh(x) + 320cosh(x) )coth(x) +--R + +--R 8 6 4 2 +--R (840cosh(x) - 4032cosh(x) - 120cosh(x) + 576cosh(x) ) +--R * +--R 2 +--R coth(x) +--R + +--R 6 4 6 +--R (1792cosh(x) - 1280cosh(x) )coth(x) + 1792cosh(x) +--R + +--R 2 +--R - 256cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 9 7 5 4 +--R (- 840cosh(x) + 2840cosh(x) - 1600cosh(x) )coth(x) +--R + +--R 9 7 5 3 +--R (360cosh(x) - 672cosh(x) + 376cosh(x) - 64cosh(x) ) +--R * +--R 3 +--R coth(x) +--R + +--R 9 7 5 2 +--R (840cosh(x) - 4632cosh(x) + 2880cosh(x) )coth(x) +--R + +--R 7 5 3 +--R (768cosh(x) - 1024cosh(x) + 256cosh(x) )coth(x) +--R + +--R 7 5 +--R 1792cosh(x) - 1280cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 10 8 6 +--R - 360cosh(x) + 1440cosh(x) - 1400cosh(x) +--R + +--R 4 +--R 320cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 10 8 6 4 +--R (60cosh(x) - 152cosh(x) + 124cosh(x) - 32cosh(x) ) +--R * +--R 3 +--R coth(x) +--R + +--R 10 8 6 4 +--R (360cosh(x) - 2208cosh(x) + 2424cosh(x) - 576cosh(x) ) +--R * +--R 2 +--R coth(x) +--R + +--R 8 6 4 +--R (128cosh(x) - 256cosh(x) + 128cosh(x) )coth(x) +--R + +--R 8 6 4 +--R 768cosh(x) - 1024cosh(x) + 256cosh(x) +--R * +--R sinh(x) +--R + +--R 11 9 7 5 4 +--R (- 60cosh(x) + 280cosh(x) - 380cosh(x) + 160cosh(x) )coth(x) +--R + +--R 11 9 7 5 2 +--R (60cosh(x) - 408cosh(x) + 636cosh(x) - 288cosh(x) )coth(x) +--R + +--R 9 7 5 +--R 128cosh(x) - 256cosh(x) + 128cosh(x) +--R * +--R tanh(x) +--R + +--R 3 3 8 +--R ((- 24cosh(x) + 64cosh(x))coth(x) - 256cosh(x)coth(x))sinh(x) +--R + +--R 4 2 3 2 7 +--R ((- 144cosh(x) + 384cosh(x) )coth(x) - 1536cosh(x) coth(x))sinh(x) +--R + +--R 5 3 3 +--R (- 336cosh(x) + 944cosh(x) - 128cosh(x))coth(x) +--R + +--R 3 +--R (- 3584cosh(x) + 512cosh(x))coth(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 6 4 2 3 +--R (- 336cosh(x) + 1088cosh(x) - 512cosh(x) )coth(x) +--R + +--R 4 2 +--R (- 3584cosh(x) + 2048cosh(x) )coth(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 +--R (240cosh(x) - 664cosh(x) + 64cosh(x))coth(x) +--R + +--R 3 +--R (2560cosh(x) - 256cosh(x))coth(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 8 6 4 2 3 +--R (336cosh(x) - 896cosh(x) - 48cosh(x) + 128cosh(x) )coth(x) +--R + +--R 6 2 +--R (3584cosh(x) - 512cosh(x) )coth(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (336cosh(x) - 1136cosh(x) + 640cosh(x) )coth(x) +--R + +--R 7 5 +--R (3584cosh(x) - 2560cosh(x) )coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 10 8 6 4 3 +--R (144cosh(x) - 576cosh(x) + 560cosh(x) - 128cosh(x) )coth(x) +--R + +--R 8 6 4 +--R (1536cosh(x) - 2048cosh(x) + 512cosh(x) )coth(x) +--R * +--R sinh(x) +--R + +--R 11 9 7 5 3 +--R (24cosh(x) - 112cosh(x) + 152cosh(x) - 64cosh(x) )coth(x) +--R + +--R 9 7 5 +--R (256cosh(x) - 512cosh(x) + 256cosh(x) )coth(x) +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--R |--------------------------------------------- +--R \| sinh(x) - cosh(x) +--R / +--R 8 7 2 6 +--R 60sinh(x) + 360cosh(x)sinh(x) + (840cosh(x) - 120)sinh(x) +--R + +--R 3 5 2 4 +--R (840cosh(x) - 480cosh(x))sinh(x) + (- 600cosh(x) + 60)sinh(x) +--R + +--R 5 3 +--R (- 840cosh(x) + 120cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- 840cosh(x) + 600cosh(x) )sinh(x) +--R + +--R 7 5 3 8 +--R (- 360cosh(x) + 480cosh(x) - 120cosh(x) )sinh(x) - 60cosh(x) +--R + +--R 6 4 +--R 120cosh(x) - 60cosh(x) +--R * +--R +---------------------------------------------+ +--R | 2 2 +--R |- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2 +--------------+ +--R |--------------------------------------------- \|cosh(x)coth(x) +--R \| sinh(x) - cosh(x) +--R Type: Expression Integer +--E 85 + +--S 86 of 518 +t0917:= (sech(x)-cosh(x))^(1/2) +--R +--R +--R +-----------------+ +--R (86) \|sech(x) - cosh(x) +--R Type: Expression Integer +--E 86 + +--S 87 of 518 +r0917:= -2*sinh(x)/(-sinh(x)*tanh(x))^(1/2) +--R +--R +--R 2sinh(x) +--R (87) - ------------------- +--R +----------------+ +--R \|- sinh(x)tanh(x) +--R Type: Expression Integer +--E 87 + +--S 88 of 518 +a0917:= integrate(t0917,x) +--R +--R +--R (88) 0 +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 518 +m0917:= a0917-r0917 +--R +--R +--R 2sinh(x) +--R (89) ------------------- +--R +----------------+ +--R \|- sinh(x)tanh(x) +--R Type: Expression Integer +--E 89 + +--S 90 of 518 +d0917:= D(m0917,x) +--R +--R +--R 2 +--R sinh(x)tanh(x) + cosh(x)tanh(x) - sinh(x) +--R (90) ------------------------------------------ +--R +----------------+ +--R tanh(x)\|- sinh(x)tanh(x) +--R Type: Expression Integer +--E 90 + +--S 91 of 518 +t0918:= (sech(x)-cosh(x))^(3/2) +--R +--R +--R +-----------------+ +--R (91) (sech(x) - cosh(x))\|sech(x) - cosh(x) +--R Type: Expression Integer +--E 91 + +--S 92 of 518 +r0918:= 2/3*coth(x)*csch(x)^2*(4+sinh(x)^2)*(-sinh(x)*tanh(x))^(3/2) +--R +--R +--R (92) +--R 2 3 2 +--R (- 2coth(x)csch(x) sinh(x) - 8coth(x)csch(x) sinh(x))tanh(x) +--R * +--R +----------------+ +--R \|- sinh(x)tanh(x) +--R / +--R 3 +--R Type: Expression Integer +--E 92 + +--S 93 of 518 +a0918:= integrate(t0918,x) +--R +--R +--R (93) 0 +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 518 +m0918:= a0918-r0918 +--R +--R +--R (94) +--R 2 3 2 +--R (2coth(x)csch(x) sinh(x) + 8coth(x)csch(x) sinh(x))tanh(x) +--R * +--R +----------------+ +--R \|- sinh(x)tanh(x) +--R / +--R 3 +--R Type: Expression Integer +--E 94 + +--S 95 of 518 +d0918:= D(m0918,x) +--R +--R +--R (95) +--R 2 4 2 2 3 +--R (3coth(x)csch(x) sinh(x) + 12coth(x)csch(x) sinh(x) )tanh(x) +--R + +--R 2 2 4 2 3 +--R (6coth(x) - 2)csch(x) sinh(x) - 7cosh(x)coth(x)csch(x) sinh(x) +--R + +--R 2 2 2 2 +--R (24coth(x) - 8)csch(x) sinh(x) - 12cosh(x)coth(x)csch(x) sinh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 2 +--R (- 3coth(x)csch(x) sinh(x) - 12coth(x)csch(x) sinh(x) )tanh(x) +--R / +--R +----------------+ +--R 3\|- sinh(x)tanh(x) +--R Type: Expression Integer +--E 95 + +--S 96 of 518 +t0919:= (sech(x)-cosh(x))^(5/2) +--R +--R +--R 2 2 +-----------------+ +--R (96) (sech(x) - 2cosh(x)sech(x) + cosh(x) )\|sech(x) - cosh(x) +--R Type: Expression Integer +--E 96 + +--S 97 of 518 +r0919:= 2/15*coth(x)^2*csch(x)*(-sinh(x)*tanh(x))^(3/2)*_ + (32-(8+3*sinh(x)^2)*tanh(x)^2) +--R +--R +--R (97) +--R 2 3 2 3 +--R (6coth(x) csch(x)sinh(x) + 16coth(x) csch(x)sinh(x))tanh(x) +--R + +--R 2 +--R - 64coth(x) csch(x)sinh(x)tanh(x) +--R * +--R +----------------+ +--R \|- sinh(x)tanh(x) +--R / +--R 15 +--R Type: Expression Integer +--E 97 + +--S 98 of 518 +a0919:= integrate(t0919,x) +--R +--R +--R (98) 0 +--R Type: Union(Expression Integer,...) +--E 98 + +--S 99 of 518 +m0919:= a0919-r0919 +--R +--R +--R (99) +--R 2 3 2 3 +--R (- 6coth(x) csch(x)sinh(x) - 16coth(x) csch(x)sinh(x))tanh(x) +--R + +--R 2 +--R 64coth(x) csch(x)sinh(x)tanh(x) +--R * +--R +----------------+ +--R \|- sinh(x)tanh(x) +--R / +--R 15 +--R Type: Expression Integer +--E 99 + +--S 100 of 518 +d0919:= D(m0919,x) +--R +--R +--R (100) +--R 2 4 2 2 5 +--R (- 21coth(x) csch(x)sinh(x) - 56coth(x) csch(x)sinh(x) )tanh(x) +--R + +--R 3 4 +--R (- 18coth(x) + 12coth(x))csch(x)sinh(x) +--R + +--R 2 3 +--R 21cosh(x)coth(x) csch(x)sinh(x) +--R + +--R 3 2 +--R (- 48coth(x) + 32coth(x))csch(x)sinh(x) +--R + +--R 2 +--R 24cosh(x)coth(x) csch(x)sinh(x) +--R * +--R 4 +--R tanh(x) +--R + +--R 2 4 2 2 3 +--R (21coth(x) csch(x)sinh(x) + 152coth(x) csch(x)sinh(x) )tanh(x) +--R + +--R 3 2 +--R (192coth(x) - 128coth(x))csch(x)sinh(x) +--R + +--R 2 +--R - 96cosh(x)coth(x) csch(x)sinh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 2 +--R - 96coth(x) csch(x)sinh(x) tanh(x) +--R / +--R +----------------+ +--R 15\|- sinh(x)tanh(x) +--R Type: Expression Integer +--E 100 + +--S 101 of 518 +t0920:= 1/(cosh(x)^2+sinh(x)^2) +--R +--R +--R 1 +--R (101) ------------------- +--R 2 2 +--R sinh(x) + cosh(x) +--R Type: Expression Integer +--E 101 + +--S 102 of 518 +r0920:= atan(tanh(x)) +--R +--R +--R (102) atan(tanh(x)) +--R Type: Expression Integer +--E 102 + +--S 103 of 518 +a0920:= integrate(t0920,x) +--R +--R +--R sinh(x) + cosh(x) +--R (103) - atan(-----------------) +--R sinh(x) - cosh(x) +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 518 +m0920:= a0920-r0920 +--R +--R +--R sinh(x) + cosh(x) +--R (104) - atan(tanh(x)) - atan(-----------------) +--R sinh(x) - cosh(x) +--R Type: Expression Integer +--E 104 + +--S 105 of 518 +d0920:= D(m0920,x) +--R +--R +--R 2 2 2 +--R 2cosh(x) tanh(x) - 2sinh(x) +--R (105) --------------------------------------------------- +--R 2 2 2 2 2 +--R (sinh(x) + cosh(x) )tanh(x) + sinh(x) + cosh(x) +--R Type: Expression Integer +--E 105 + +--S 106 of 518 +t0921:= 1/(cosh(x)^2+sinh(x)^2)^3 +--R +--R +--R 1 +--R (106) ----------------------------------------------------------- +--R 6 2 4 4 2 6 +--R sinh(x) + 3cosh(x) sinh(x) + 3cosh(x) sinh(x) + cosh(x) +--R Type: Expression Integer +--E 106 + +--S 107 of 518 +r0921:= 1/4*atan(sinh(2*x))+1/4*sech(2*x)*tanh(2*x) +--R +--R +--R atan(sinh(2x)) + sech(2x)tanh(2x) +--R (107) --------------------------------- +--R 4 +--R Type: Expression Integer +--E 107 + +--S 108 of 518 +a0921:= integrate(t0921,x) +--R +--R +--R (108) +--R 8 7 2 6 +--R - sinh(x) - 8cosh(x)sinh(x) - 28cosh(x) sinh(x) +--R + +--R 3 5 4 4 +--R - 56cosh(x) sinh(x) + (- 70cosh(x) - 2)sinh(x) +--R + +--R 5 3 +--R (- 56cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 2 2 +--R (- 28cosh(x) - 12cosh(x) )sinh(x) +--R + +--R 7 3 8 4 +--R (- 8cosh(x) - 8cosh(x) )sinh(x) - cosh(x) - 2cosh(x) - 1 +--R * +--R sinh(x) + cosh(x) +--R atan(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 6 5 2 4 3 3 +--R sinh(x) + 6cosh(x)sinh(x) + 15cosh(x) sinh(x) + 20cosh(x) sinh(x) +--R + +--R 4 2 5 6 +--R (15cosh(x) - 1)sinh(x) + (6cosh(x) - 2cosh(x))sinh(x) + cosh(x) +--R + +--R 2 +--R - cosh(x) +--R / +--R 8 7 2 6 3 5 +--R 2sinh(x) + 16cosh(x)sinh(x) + 56cosh(x) sinh(x) + 112cosh(x) sinh(x) +--R + +--R 4 4 5 3 +--R (140cosh(x) + 4)sinh(x) + (112cosh(x) + 16cosh(x))sinh(x) +--R + +--R 6 2 2 7 3 +--R (56cosh(x) + 24cosh(x) )sinh(x) + (16cosh(x) + 16cosh(x) )sinh(x) +--R + +--R 8 4 +--R 2cosh(x) + 4cosh(x) + 2 +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 518 +m0921:= a0921-r0921 +--R +--R +--R (109) +--R 8 7 2 6 +--R - sinh(x) - 8cosh(x)sinh(x) - 28cosh(x) sinh(x) +--R + +--R 3 5 4 4 +--R - 56cosh(x) sinh(x) + (- 70cosh(x) - 2)sinh(x) +--R + +--R 5 3 +--R (- 56cosh(x) - 8cosh(x))sinh(x) +--R + +--R 6 2 2 +--R (- 28cosh(x) - 12cosh(x) )sinh(x) +--R + +--R 7 3 8 4 +--R (- 8cosh(x) - 8cosh(x) )sinh(x) - cosh(x) - 2cosh(x) - 1 +--R * +--R atan(sinh(2x)) +--R + +--R 8 7 2 6 +--R - 2sinh(x) - 16cosh(x)sinh(x) - 56cosh(x) sinh(x) +--R + +--R 3 5 4 4 +--R - 112cosh(x) sinh(x) + (- 140cosh(x) - 4)sinh(x) +--R + +--R 5 3 +--R (- 112cosh(x) - 16cosh(x))sinh(x) +--R + +--R 6 2 2 +--R (- 56cosh(x) - 24cosh(x) )sinh(x) +--R + +--R 7 3 8 4 +--R (- 16cosh(x) - 16cosh(x) )sinh(x) - 2cosh(x) - 4cosh(x) - 2 +--R * +--R sinh(x) + cosh(x) +--R atan(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 8 7 +--R - sech(2x)sinh(x) - 8cosh(x)sech(2x)sinh(x) +--R + +--R 2 6 3 5 +--R - 28cosh(x) sech(2x)sinh(x) - 56cosh(x) sech(2x)sinh(x) +--R + +--R 4 4 +--R (- 70cosh(x) - 2)sech(2x)sinh(x) +--R + +--R 5 3 +--R (- 56cosh(x) - 8cosh(x))sech(2x)sinh(x) +--R + +--R 6 2 2 +--R (- 28cosh(x) - 12cosh(x) )sech(2x)sinh(x) +--R + +--R 7 3 +--R (- 8cosh(x) - 8cosh(x) )sech(2x)sinh(x) +--R + +--R 8 4 +--R (- cosh(x) - 2cosh(x) - 1)sech(2x) +--R * +--R tanh(2x) +--R + +--R 6 5 2 4 3 3 +--R 2sinh(x) + 12cosh(x)sinh(x) + 30cosh(x) sinh(x) + 40cosh(x) sinh(x) +--R + +--R 4 2 5 6 +--R (30cosh(x) - 2)sinh(x) + (12cosh(x) - 4cosh(x))sinh(x) + 2cosh(x) +--R + +--R 2 +--R - 2cosh(x) +--R / +--R 8 7 2 6 3 5 +--R 4sinh(x) + 32cosh(x)sinh(x) + 112cosh(x) sinh(x) + 224cosh(x) sinh(x) +--R + +--R 4 4 5 3 +--R (280cosh(x) + 8)sinh(x) + (224cosh(x) + 32cosh(x))sinh(x) +--R + +--R 6 2 2 7 3 +--R (112cosh(x) + 48cosh(x) )sinh(x) + (32cosh(x) + 32cosh(x) )sinh(x) +--R + +--R 8 4 +--R 4cosh(x) + 8cosh(x) + 4 +--R Type: Expression Integer +--E 109 + +--S 110 of 518 +d0921:= D(m0921,x) +--R +--R +--R (110) +--R 14 13 +--R 2sech(2x)sinh(x) + 24cosh(x)sech(2x)sinh(x) +--R + +--R 2 12 3 11 +--R 134cosh(x) sech(2x)sinh(x) + 464cosh(x) sech(2x)sinh(x) +--R + +--R 4 10 +--R (1122cosh(x) + 6)sech(2x)sinh(x) +--R + +--R 5 9 +--R (2024cosh(x) + 48cosh(x))sech(2x)sinh(x) +--R + +--R 6 2 8 +--R (2838cosh(x) + 174cosh(x) )sech(2x)sinh(x) +--R + +--R 7 3 7 +--R (3168cosh(x) + 384cosh(x) )sech(2x)sinh(x) +--R + +--R 8 4 6 +--R (2838cosh(x) + 588cosh(x) + 6)sech(2x)sinh(x) +--R + +--R 9 5 5 +--R (2024cosh(x) + 672cosh(x) + 24cosh(x))sech(2x)sinh(x) +--R + +--R 10 6 2 4 +--R (1122cosh(x) + 588cosh(x) + 42cosh(x) )sech(2x)sinh(x) +--R + +--R 11 7 3 3 +--R (464cosh(x) + 384cosh(x) + 48cosh(x) )sech(2x)sinh(x) +--R + +--R 12 8 4 2 +--R (134cosh(x) + 174cosh(x) + 42cosh(x) + 2)sech(2x)sinh(x) +--R + +--R 13 9 5 +--R (24cosh(x) + 48cosh(x) + 24cosh(x) )sech(2x)sinh(x) +--R + +--R 14 10 6 2 +--R (2cosh(x) + 6cosh(x) + 6cosh(x) + 2cosh(x) )sech(2x) +--R * +--R 2 +--R sinh(2x) +--R + +--R 14 13 +--R 2sech(2x)sinh(x) + 24cosh(x)sech(2x)sinh(x) +--R + +--R 2 12 3 11 +--R 134cosh(x) sech(2x)sinh(x) + 464cosh(x) sech(2x)sinh(x) +--R + +--R 4 10 +--R (1122cosh(x) + 6)sech(2x)sinh(x) +--R + +--R 5 9 +--R (2024cosh(x) + 48cosh(x))sech(2x)sinh(x) +--R + +--R 6 2 8 +--R (2838cosh(x) + 174cosh(x) )sech(2x)sinh(x) +--R + +--R 7 3 7 +--R (3168cosh(x) + 384cosh(x) )sech(2x)sinh(x) +--R + +--R 8 4 6 +--R (2838cosh(x) + 588cosh(x) + 6)sech(2x)sinh(x) +--R + +--R 9 5 5 +--R (2024cosh(x) + 672cosh(x) + 24cosh(x))sech(2x)sinh(x) +--R + +--R 10 6 2 4 +--R (1122cosh(x) + 588cosh(x) + 42cosh(x) )sech(2x)sinh(x) +--R + +--R 11 7 3 3 +--R (464cosh(x) + 384cosh(x) + 48cosh(x) )sech(2x)sinh(x) +--R + +--R 12 8 4 2 +--R (134cosh(x) + 174cosh(x) + 42cosh(x) + 2)sech(2x)sinh(x) +--R + +--R 13 9 5 +--R (24cosh(x) + 48cosh(x) + 24cosh(x) )sech(2x)sinh(x) +--R + +--R 14 10 6 2 +--R (2cosh(x) + 6cosh(x) + 6cosh(x) + 2cosh(x) )sech(2x) +--R * +--R 2 +--R tanh(2x) +--R + +--R 14 +--R (- sech(2x) - 1)sinh(x) +--R + +--R 13 +--R (- 12cosh(x)sech(2x) - 12cosh(x))sinh(x) +--R + +--R 2 2 12 +--R (- 67cosh(x) sech(2x) - 65cosh(x) - 2)sinh(x) +--R + +--R 3 3 11 +--R (- 232cosh(x) sech(2x) - 208cosh(x) - 20cosh(x))sinh(x) +--R + +--R 4 4 2 10 +--R ((- 561cosh(x) - 3)sech(2x) - 429cosh(x) - 92cosh(x) - 3)sinh(x) +--R + +--R 5 5 3 +--R (- 1012cosh(x) - 24cosh(x))sech(2x) - 572cosh(x) - 260cosh(x) +--R + +--R - 24cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 2 6 4 +--R (- 1419cosh(x) - 87cosh(x) )sech(2x) - 429cosh(x) - 510cosh(x) +--R + +--R 2 +--R - 81cosh(x) + 12 +--R * +--R 8 +--R sinh(x) +--R + +--R 7 3 5 +--R (- 1584cosh(x) - 192cosh(x) )sech(2x) - 744cosh(x) +--R + +--R 3 +--R - 144cosh(x) + 72cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 4 8 +--R (- 1419cosh(x) - 294cosh(x) - 3)sech(2x) + 429cosh(x) +--R + +--R 6 4 2 +--R - 840cosh(x) - 126cosh(x) + 192cosh(x) - 3 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 9 +--R (- 1012cosh(x) - 336cosh(x) - 12cosh(x))sech(2x) + 572cosh(x) +--R + +--R 7 3 +--R - 744cosh(x) + 312cosh(x) - 12cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 2 +--R (- 561cosh(x) - 294cosh(x) - 21cosh(x) )sech(2x) +--R + +--R 10 8 6 4 +--R 429cosh(x) - 510cosh(x) + 126cosh(x) + 360cosh(x) +--R + +--R 2 +--R - 15cosh(x) - 2 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 3 +--R (- 232cosh(x) - 192cosh(x) - 24cosh(x) )sech(2x) +--R + +--R 11 9 7 5 +--R 208cosh(x) - 260cosh(x) + 144cosh(x) + 312cosh(x) - 4cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 4 +--R (- 67cosh(x) - 87cosh(x) - 21cosh(x) - 1)sech(2x) +--R + +--R 12 10 8 6 4 +--R 65cosh(x) - 92cosh(x) + 81cosh(x) + 192cosh(x) + 15cosh(x) +--R + +--R 2 +--R - 4cosh(x) - 1 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 5 13 +--R (- 12cosh(x) - 24cosh(x) - 12cosh(x) )sech(2x) + 12cosh(x) +--R + +--R 11 9 7 5 3 +--R - 20cosh(x) + 24cosh(x) + 72cosh(x) + 12cosh(x) - 4cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 6 2 14 +--R (- cosh(x) - 3cosh(x) - 3cosh(x) - cosh(x) )sech(2x) + cosh(x) +--R + +--R 12 10 8 6 4 +--R - 2cosh(x) + 3cosh(x) + 12cosh(x) + 3cosh(x) - 2cosh(x) +--R + +--R 2 +--R cosh(x) +--R * +--R 2 +--R sinh(2x) +--R + +--R 14 +--R (- sech(2x) - cosh(2x) - 1)sinh(x) +--R + +--R 13 +--R (- 12cosh(x)sech(2x) - 12cosh(x)cosh(2x) - 12cosh(x))sinh(x) +--R + +--R 2 2 2 12 +--R (- 67cosh(x) sech(2x) - 67cosh(x) cosh(2x) - 65cosh(x) - 2)sinh(x) +--R + +--R 3 3 3 +--R (- 232cosh(x) sech(2x) - 232cosh(x) cosh(2x) - 208cosh(x) - 20cosh(x)) +--R * +--R 11 +--R sinh(x) +--R + +--R 4 4 +--R (- 561cosh(x) - 3)sech(2x) + (- 561cosh(x) - 3)cosh(2x) +--R + +--R 4 2 +--R - 429cosh(x) - 92cosh(x) - 3 +--R * +--R 10 +--R sinh(x) +--R + +--R 5 +--R (- 1012cosh(x) - 24cosh(x))sech(2x) +--R + +--R 5 5 3 +--R (- 1012cosh(x) - 24cosh(x))cosh(2x) - 572cosh(x) - 260cosh(x) +--R + +--R - 24cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 6 2 +--R (- 1419cosh(x) - 87cosh(x) )sech(2x) +--R + +--R 6 2 6 4 +--R (- 1419cosh(x) - 87cosh(x) )cosh(2x) - 429cosh(x) - 510cosh(x) +--R + +--R 2 +--R - 81cosh(x) + 12 +--R * +--R 8 +--R sinh(x) +--R + +--R 7 3 +--R (- 1584cosh(x) - 192cosh(x) )sech(2x) +--R + +--R 7 3 5 3 +--R (- 1584cosh(x) - 192cosh(x) )cosh(2x) - 744cosh(x) - 144cosh(x) +--R + +--R 72cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 4 +--R (- 1419cosh(x) - 294cosh(x) - 3)sech(2x) +--R + +--R 8 4 8 +--R (- 1419cosh(x) - 294cosh(x) - 3)cosh(2x) + 429cosh(x) +--R + +--R 6 4 2 +--R - 840cosh(x) - 126cosh(x) + 192cosh(x) - 3 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 +--R (- 1012cosh(x) - 336cosh(x) - 12cosh(x))sech(2x) +--R + +--R 9 5 9 +--R (- 1012cosh(x) - 336cosh(x) - 12cosh(x))cosh(2x) + 572cosh(x) +--R + +--R 7 3 +--R - 744cosh(x) + 312cosh(x) - 12cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 2 +--R (- 561cosh(x) - 294cosh(x) - 21cosh(x) )sech(2x) +--R + +--R 10 6 2 10 +--R (- 561cosh(x) - 294cosh(x) - 21cosh(x) )cosh(2x) + 429cosh(x) +--R + +--R 8 6 4 2 +--R - 510cosh(x) + 126cosh(x) + 360cosh(x) - 15cosh(x) - 2 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 3 +--R (- 232cosh(x) - 192cosh(x) - 24cosh(x) )sech(2x) +--R + +--R 11 7 3 11 +--R (- 232cosh(x) - 192cosh(x) - 24cosh(x) )cosh(2x) + 208cosh(x) +--R + +--R 9 7 5 +--R - 260cosh(x) + 144cosh(x) + 312cosh(x) - 4cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 4 +--R (- 67cosh(x) - 87cosh(x) - 21cosh(x) - 1)sech(2x) +--R + +--R 12 8 4 12 +--R (- 67cosh(x) - 87cosh(x) - 21cosh(x) - 1)cosh(2x) + 65cosh(x) +--R + +--R 10 8 6 4 2 +--R - 92cosh(x) + 81cosh(x) + 192cosh(x) + 15cosh(x) - 4cosh(x) - 1 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 5 +--R (- 12cosh(x) - 24cosh(x) - 12cosh(x) )sech(2x) +--R + +--R 13 9 5 13 +--R (- 12cosh(x) - 24cosh(x) - 12cosh(x) )cosh(2x) + 12cosh(x) +--R + +--R 11 9 7 5 3 +--R - 20cosh(x) + 24cosh(x) + 72cosh(x) + 12cosh(x) - 4cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 6 2 +--R (- cosh(x) - 3cosh(x) - 3cosh(x) - cosh(x) )sech(2x) +--R + +--R 14 10 6 2 14 +--R (- cosh(x) - 3cosh(x) - 3cosh(x) - cosh(x) )cosh(2x) + cosh(x) +--R + +--R 12 10 8 6 4 2 +--R - 2cosh(x) + 3cosh(x) + 12cosh(x) + 3cosh(x) - 2cosh(x) + cosh(x) +--R / +--R 14 13 2 12 +--R 2sinh(x) + 24cosh(x)sinh(x) + 134cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R 464cosh(x) sinh(x) + (1122cosh(x) + 6)sinh(x) +--R + +--R 5 9 +--R (2024cosh(x) + 48cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (2838cosh(x) + 174cosh(x) )sinh(x) +--R + +--R 7 3 7 +--R (3168cosh(x) + 384cosh(x) )sinh(x) +--R + +--R 8 4 6 +--R (2838cosh(x) + 588cosh(x) + 6)sinh(x) +--R + +--R 9 5 5 +--R (2024cosh(x) + 672cosh(x) + 24cosh(x))sinh(x) +--R + +--R 10 6 2 4 +--R (1122cosh(x) + 588cosh(x) + 42cosh(x) )sinh(x) +--R + +--R 11 7 3 3 +--R (464cosh(x) + 384cosh(x) + 48cosh(x) )sinh(x) +--R + +--R 12 8 4 2 +--R (134cosh(x) + 174cosh(x) + 42cosh(x) + 2)sinh(x) +--R + +--R 13 9 5 14 +--R (24cosh(x) + 48cosh(x) + 24cosh(x) )sinh(x) + 2cosh(x) +--R + +--R 10 6 2 +--R 6cosh(x) + 6cosh(x) + 2cosh(x) +--R * +--R 2 +--R sinh(2x) +--R + +--R 14 13 2 12 +--R 2sinh(x) + 24cosh(x)sinh(x) + 134cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R 464cosh(x) sinh(x) + (1122cosh(x) + 6)sinh(x) +--R + +--R 5 9 6 2 8 +--R (2024cosh(x) + 48cosh(x))sinh(x) + (2838cosh(x) + 174cosh(x) )sinh(x) +--R + +--R 7 3 7 +--R (3168cosh(x) + 384cosh(x) )sinh(x) +--R + +--R 8 4 6 +--R (2838cosh(x) + 588cosh(x) + 6)sinh(x) +--R + +--R 9 5 5 +--R (2024cosh(x) + 672cosh(x) + 24cosh(x))sinh(x) +--R + +--R 10 6 2 4 +--R (1122cosh(x) + 588cosh(x) + 42cosh(x) )sinh(x) +--R + +--R 11 7 3 3 +--R (464cosh(x) + 384cosh(x) + 48cosh(x) )sinh(x) +--R + +--R 12 8 4 2 +--R (134cosh(x) + 174cosh(x) + 42cosh(x) + 2)sinh(x) +--R + +--R 13 9 5 14 10 +--R (24cosh(x) + 48cosh(x) + 24cosh(x) )sinh(x) + 2cosh(x) + 6cosh(x) +--R + +--R 6 2 +--R 6cosh(x) + 2cosh(x) +--R Type: Expression Integer +--E 110 + +--S 111 of 518 +t0922:= 1/(cosh(x)^2-sinh(x)^2) +--R +--R +--R 1 +--R (111) - ------------------- +--R 2 2 +--R sinh(x) - cosh(x) +--R Type: Expression Integer +--E 111 + +--S 112 of 518 +r0922:= x +--R +--R +--R (112) x +--R Type: Variable x +--E 112 + +--S 113 of 518 +a0922:= integrate(t0922,x) +--R +--R +--R (113) x +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 518 +m0922:= a0922-r0922 +--R +--R +--R (114) 0 +--R Type: Expression Integer +--E 114 + +--S 115 of 518 +d0922:= D(m0922,x) +--R +--R +--R (115) 0 +--R Type: Expression Integer +--E 115 + +--S 116 of 518 +t0923:= 1/(cosh(x)^2-sinh(x)^2)^2 +--R +--R +--R 1 +--R (116) --------------------------------------- +--R 4 2 2 4 +--R sinh(x) - 2cosh(x) sinh(x) + cosh(x) +--R Type: Expression Integer +--E 116 + +--S 117 of 518 +r0923:= x +--R +--R +--R (117) x +--R Type: Variable x +--E 117 + +--S 118 of 518 +a0923:= integrate(t0923,x) +--R +--R +--R (118) x +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 518 +m0923:= a0923-r0923 +--R +--R +--R (119) 0 +--R Type: Expression Integer +--E 119 + +--S 120 of 518 +d0923:= D(m0923,x) +--R +--R +--R (120) 0 +--R Type: Expression Integer +--E 120 + +--S 121 of 518 +t0924:= 1/(cosh(x)^2-sinh(x)^2)^3 +--R +--R +--R 1 +--R (121) - ----------------------------------------------------------- +--R 6 2 4 4 2 6 +--R sinh(x) - 3cosh(x) sinh(x) + 3cosh(x) sinh(x) - cosh(x) +--R Type: Expression Integer +--E 121 + +--S 122 of 518 +r0924:= x +--R +--R +--R (122) x +--R Type: Variable x +--E 122 + +--S 123 of 518 +a0924:= integrate(t0924,x) +--R +--R +--R (123) x +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 518 +m0924:= a0924-r0924 +--R +--R +--R (124) 0 +--R Type: Expression Integer +--E 124 + +--S 125 of 518 +d0924:= D(m0924,x) +--R +--R +--R (125) 0 +--R Type: Expression Integer +--E 125 + +--S 126 of 518 +t0925:= 1/(sech(x)^2+tanh(x)^2) +--R +--R +--R 1 +--R (126) ------------------- +--R 2 2 +--R tanh(x) + sech(x) +--R Type: Expression Integer +--E 126 + +--S 127 of 518 +r0925:= x +--R +--R +--R (127) x +--R Type: Variable x +--E 127 + +--S 128 of 518 +a0925:= integrate(t0925,x) +--R +--R +--R (128) x +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 518 +m0925:= a0925-r0925 +--R +--R +--R (129) 0 +--R Type: Expression Integer +--E 129 + +--S 130 of 518 +d0925:= D(m0925,x) +--R +--R +--R (130) 0 +--R Type: Expression Integer +--E 130 + +--S 131 of 518 +t0926:= 1/(sech(x)^2+tanh(x)^2)^2 +--R +--R +--R 1 +--R (131) --------------------------------------- +--R 4 2 2 4 +--R tanh(x) + 2sech(x) tanh(x) + sech(x) +--R Type: Expression Integer +--E 131 + +--S 132 of 518 +r0926:= x +--R +--R +--R (132) x +--R Type: Variable x +--E 132 + +--S 133 of 518 +a0926:= integrate(t0926,x) +--R +--R +--R (133) x +--R Type: Union(Expression Integer,...) +--E 133 + +--S 134 of 518 +m0926:= a0926-r0926 +--R +--R +--R (134) 0 +--R Type: Expression Integer +--E 134 + +--S 135 of 518 +d0926:= D(m0926,x) +--R +--R +--R (135) 0 +--R Type: Expression Integer +--E 135 + +--S 136 of 518 +t0927:= 1/(sech(x)^2+tanh(x)^2)^3 +--R +--R +--R 1 +--R (136) ----------------------------------------------------------- +--R 6 2 4 4 2 6 +--R tanh(x) + 3sech(x) tanh(x) + 3sech(x) tanh(x) + sech(x) +--R Type: Expression Integer +--E 136 + +--S 137 of 518 +r0927:= x +--R +--R +--R (137) x +--R Type: Variable x +--E 137 + +--S 138 of 518 +a0927:= integrate(t0927,x) +--R +--R +--R (138) x +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 518 +m0927:= a0927-r0927 +--R +--R +--R (139) 0 +--R Type: Expression Integer +--E 139 + +--S 140 of 518 +d0927:= D(m0927,x) +--R +--R +--R (140) 0 +--R Type: Expression Integer +--E 140 + +--S 141 of 518 +t0928:= 1/(sech(x)^2-tanh(x)^2) +--R +--R +--R 1 +--R (141) - ------------------- +--R 2 2 +--R tanh(x) - sech(x) +--R Type: Expression Integer +--E 141 + +--S 142 of 518 +r0928:= -x+atanh(2^(1/2)*tanh(x))*2^(1/2) +--R +--R +--R +-+ +-+ +--R (142) \|2 atanh(\|2 tanh(x)) - x +--R Type: Expression Integer +--E 142 + +--S 143 of 518 +a0928:= integrate(t0928,x) +--R +--R +--R (143) +--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 143 + +--S 144 of 518 +m0928:= a0928-r0928 +--R +--R +--R (144) +--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 144 + +--S 145 of 518 +d0928:= D(m0928,x) +--R +--R +--R (145) +--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 145 + +--S 146 of 518 +t0929:= 1/(sech(x)^2-tanh(x)^2)^2 +--R +--R +--R 1 +--R (146) --------------------------------------- +--R 4 2 2 4 +--R tanh(x) - 2sech(x) tanh(x) + sech(x) +--R Type: Expression Integer +--E 146 + +--S 147 of 518 +r0929:= x-1/2*atanh(2^(1/2)*tanh(x))*2^(1/2)+tanh(x)/(1-2*tanh(x)^2) +--R +--R +--R (147) +--R +-+ 2 +-+ +-+ 2 +--R (- 2\|2 tanh(x) + \|2 )atanh(\|2 tanh(x)) + 4x tanh(x) - 2tanh(x) - 2x +--R ------------------------------------------------------------------------ +--R 2 +--R 4tanh(x) - 2 +--R Type: Expression Integer +--E 147 + +--S 148 of 518 +a0929:= integrate(t0929,x) +--R +--R +--R (148) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 6)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 12cosh(x))sinh(x) + cosh(x) - 6cosh(x) + 1 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) - 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ 4 +-+ 3 +--R 2x\|2 sinh(x) + 8x\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12x\|2 cosh(x) + (- 12x - 12)\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8x\|2 cosh(x) + (- 24x - 24)\|2 cosh(x))sinh(x) + 2x\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 12x - 12)\|2 cosh(x) + (2x + 4)\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 +-+ 2 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) + (12\|2 cosh(x) - 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (8\|2 cosh(x) - 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) - 12\|2 cosh(x) +--R + +--R +-+ +--R 2\|2 +--R Type: Union(Expression Integer,...) +--E 148 + +--S 149 of 518 +m0929:= a0929-r0929 +--R +--R +--R (149) +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) - 12)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) - 24cosh(x))sinh(x) + 2cosh(x) - 12cosh(x) + 2 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - sinh(x) - 4cosh(x)sinh(x) + (- 6cosh(x) + 6)sinh(x) +--R + +--R 3 4 2 +--R (- 4cosh(x) + 12cosh(x))sinh(x) - cosh(x) + 6cosh(x) - 1 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) - 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) - 24)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) - 48cosh(x))sinh(x) + 4cosh(x) - 24cosh(x) + 4 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - 2sinh(x) - 8cosh(x)sinh(x) + (- 12cosh(x) + 12)sinh(x) +--R + +--R 3 4 2 +--R (- 8cosh(x) + 24cosh(x))sinh(x) - 2cosh(x) + 12cosh(x) - 2 +--R * +--R +-+ +--R atanh(\|2 tanh(x)) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R (- 24\|2 sinh(x) - 48\|2 cosh(x)sinh(x) - 24\|2 cosh(x) + 8\|2 ) +--R * +--R 2 +--R tanh(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) - 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) - 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 12\|2 cosh(x) + 2\|2 +--R * +--R tanh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 12\|2 sinh(x) + 24\|2 cosh(x)sinh(x) + 12\|2 cosh(x) - 4\|2 +--R / +--R +-+ 4 +-+ 3 +--R 4\|2 sinh(x) + 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|2 cosh(x) - 24\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (16\|2 cosh(x) - 48\|2 cosh(x))sinh(x) + 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 24\|2 cosh(x) + 4\|2 +--R * +--R 2 +--R tanh(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) + 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (- 8\|2 cosh(x) + 24\|2 cosh(x))sinh(x) - 2\|2 cosh(x) + 12\|2 cosh(x) +--R + +--R +-+ +--R - 2\|2 +--R Type: Expression Integer +--E 149 + +--S 150 of 518 +d0929:= D(m0929,x) +--R +--R +--R (150) +--R +-+ 12 +-+ 11 +--R (12\|2 + 16)sinh(x) + (32\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 56\|2 - 160)cosh(x) + 240\|2 + 320)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 224\|2 - 608)cosh(x) + (1408\|2 + 1888)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (116\|2 - 528)cosh(x) + (2864\|2 + 3904)cosh(x) - 660\|2 +--R + +--R - 880 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1216\|2 + 576)cosh(x) + (1024\|2 + 1664)cosh(x) +--R + +--R +-+ +--R (- 4608\|2 - 6208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1904\|2 + 1344)cosh(x) + (- 5152\|2 - 6272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6288\|2 - 8128)cosh(x) - 576\|2 - 768 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (1216\|2 + 576)cosh(x) + (- 8960\|2 - 11200)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5760\|2 + 9280)cosh(x) + (- 1984\|2 - 2496)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (116\|2 - 528)cosh(x) + (- 5152\|2 - 6272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (16200\|2 + 24160)cosh(x) + (- 2752\|2 - 3072)cosh(x) +--R + +--R +-+ +--R 228\|2 + 304 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 224\|2 - 608)cosh(x) + (1024\|2 + 1664)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (5760\|2 + 9280)cosh(x) + (- 2688\|2 - 2688)cosh(x) +--R + +--R +-+ +--R (4064\|2 + 5664)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 56\|2 - 160)cosh(x) + (2864\|2 + 3904)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 6288\|2 - 8128)cosh(x) + (- 2752\|2 - 3072)cosh(x) +--R + +--R +-+ 2 +-+ +--R (7944\|2 + 11104)cosh(x) - 48\|2 - 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (32\|2 + 32)cosh(x) + (1408\|2 + 1888)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 4608\|2 - 6208)cosh(x) + (- 1984\|2 - 2496)cosh(x) +--R + +--R +-+ 3 +-+ +--R (4064\|2 + 5664)cosh(x) + (64\|2 + 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (12\|2 + 16)cosh(x) + (240\|2 + 320)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 660\|2 - 880)cosh(x) + (- 576\|2 - 768)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (228\|2 + 304)cosh(x) + (- 48\|2 - 64)cosh(x) + 36\|2 + 48 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 12\|2 - 16)sinh(x) + (- 32\|2 - 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((56\|2 + 160)cosh(x) - 240\|2 - 320)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((224\|2 + 608)cosh(x) + (- 1408\|2 - 1888)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 116\|2 + 528)cosh(x) + (- 2864\|2 - 3904)cosh(x) + 660\|2 +--R + +--R 880 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1216\|2 - 576)cosh(x) + (- 1024\|2 - 1664)cosh(x) +--R + +--R +-+ +--R (4608\|2 + 6208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 1904\|2 - 1344)cosh(x) + (5152\|2 + 6272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6288\|2 + 8128)cosh(x) + 576\|2 + 768 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 1216\|2 - 576)cosh(x) + (8960\|2 + 11200)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5760\|2 - 9280)cosh(x) + (1984\|2 + 2496)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 116\|2 + 528)cosh(x) + (5152\|2 + 6272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 16200\|2 - 24160)cosh(x) + (2752\|2 + 3072)cosh(x) +--R + +--R +-+ +--R - 228\|2 - 304 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (224\|2 + 608)cosh(x) + (- 1024\|2 - 1664)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 5760\|2 - 9280)cosh(x) + (2688\|2 + 2688)cosh(x) +--R + +--R +-+ +--R (- 4064\|2 - 5664)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (56\|2 + 160)cosh(x) + (- 2864\|2 - 3904)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (6288\|2 + 8128)cosh(x) + (2752\|2 + 3072)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 7944\|2 - 11104)cosh(x) + 48\|2 + 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 32\|2 - 32)cosh(x) + (- 1408\|2 - 1888)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (4608\|2 + 6208)cosh(x) + (1984\|2 + 2496)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4064\|2 - 5664)cosh(x) + (- 64\|2 - 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 12\|2 - 16)cosh(x) + (- 240\|2 - 320)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (660\|2 + 880)cosh(x) + (576\|2 + 768)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 228\|2 - 304)cosh(x) + (48\|2 + 64)cosh(x) - 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 6\|2 - 8)sinh(x) + (- 48\|2 - 64)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 156\|2 - 208)cosh(x) + 198\|2 + 264)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 240\|2 - 320)cosh(x) + (1000\|2 + 1296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 90\|2 - 120)cosh(x) + (1886\|2 + 2280)cosh(x) - 876\|2 - 1168) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (288\|2 + 384)cosh(x) + (1216\|2 + 960)cosh(x) +--R + +--R +-+ +--R (- 3568\|2 - 4576)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (504\|2 + 672)cosh(x) + (- 1060\|2 - 2544)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 4432\|2 - 4864)cosh(x) + 1212\|2 + 1616 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (288\|2 + 384)cosh(x) + (- 2384\|2 - 4512)cosh(x) +--R + +--R +-+ 3 +-+ +--R (368\|2 + 3040)cosh(x) + (2912\|2 + 3584)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 90\|2 - 120)cosh(x) + (- 1060\|2 - 2544)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4216\|2 + 8992)cosh(x) + (1556\|2 + 944)cosh(x) - 654\|2 - 872 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 240\|2 - 320)cosh(x) + (1216\|2 + 960)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (368\|2 + 3040)cosh(x) + (- 288\|2 - 2048)cosh(x) +--R + +--R +-+ +--R (- 480\|2 - 480)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 156\|2 - 208)cosh(x) + (1886\|2 + 2280)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 4432\|2 - 4864)cosh(x) + (1556\|2 + 944)cosh(x) +--R + +--R +-+ 2 +-+ +--R (348\|2 + 784)cosh(x) + 126\|2 + 168 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 48\|2 - 64)cosh(x) + (1000\|2 + 1296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 3568\|2 - 4576)cosh(x) + (2912\|2 + 3584)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 480\|2 - 480)cosh(x) + (184\|2 + 240)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 6\|2 - 8)cosh(x) + (198\|2 + 264)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 876\|2 - 1168)cosh(x) + (1212\|2 + 1616)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 654\|2 - 872)cosh(x) + (126\|2 + 168)cosh(x) +--R / +--R +-+ 12 +-+ 11 +--R (36\|2 + 48)sinh(x) + (224\|2 + 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((568\|2 + 672)cosh(x) - 552\|2 - 736)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((736\|2 + 672)cosh(x) + (- 2592\|2 - 3296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (476\|2 - 48)cosh(x) + (- 4680\|2 - 5216)cosh(x) + 2844\|2 +--R + +--R 3792 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (64\|2 - 960)cosh(x) + (- 3840\|2 - 2176)cosh(x) +--R + +--R +-+ +--R (9664\|2 + 12096)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 112\|2 - 1344)cosh(x) + (- 912\|2 + 3904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (11440\|2 + 11328)cosh(x) - 5424\|2 - 7232 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (64\|2 - 960)cosh(x) + (576\|2 + 6848)cosh(x) +--R + +--R +-+ 3 +-+ +--R (4288\|2 - 2880)cosh(x) + (- 13632\|2 - 16832)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (476\|2 - 48)cosh(x) + (- 912\|2 + 3904)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 664\|2 - 11808)cosh(x) + (- 8976\|2 - 6848)cosh(x) +--R + +--R +-+ +--R 2844\|2 + 3792 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (736\|2 + 672)cosh(x) + (- 3840\|2 - 2176)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (4288\|2 - 2880)cosh(x) + (- 1536\|2 + 5504)cosh(x) +--R + +--R +-+ +--R (5984\|2 + 7584)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (568\|2 + 672)cosh(x) + (- 4680\|2 - 5216)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (11440\|2 + 11328)cosh(x) + (- 8976\|2 - 6848)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6552\|2 + 7968)cosh(x) - 552\|2 - 736 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (224\|2 + 288)cosh(x) + (- 2592\|2 - 3296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (9664\|2 + 12096)cosh(x) + (- 13632\|2 - 16832)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5984\|2 + 7584)cosh(x) + (- 672\|2 - 864)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (36\|2 + 48)cosh(x) + (- 552\|2 - 736)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (2844\|2 + 3792)cosh(x) + (- 5424\|2 - 7232)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (2844\|2 + 3792)cosh(x) + (- 552\|2 - 736)cosh(x) + 36\|2 + 48 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 36\|2 - 48)sinh(x) + (- 224\|2 - 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 568\|2 - 672)cosh(x) + 552\|2 + 736)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 736\|2 - 672)cosh(x) + (2592\|2 + 3296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 476\|2 + 48)cosh(x) + (4680\|2 + 5216)cosh(x) - 2844\|2 +--R + +--R - 3792 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 64\|2 + 960)cosh(x) + (3840\|2 + 2176)cosh(x) +--R + +--R +-+ +--R (- 9664\|2 - 12096)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (112\|2 + 1344)cosh(x) + (912\|2 - 3904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 11440\|2 - 11328)cosh(x) + 5424\|2 + 7232 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 64\|2 + 960)cosh(x) + (- 576\|2 - 6848)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4288\|2 + 2880)cosh(x) + (13632\|2 + 16832)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 476\|2 + 48)cosh(x) + (912\|2 - 3904)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (664\|2 + 11808)cosh(x) + (8976\|2 + 6848)cosh(x) - 2844\|2 +--R + +--R - 3792 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 736\|2 - 672)cosh(x) + (3840\|2 + 2176)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4288\|2 + 2880)cosh(x) + (1536\|2 - 5504)cosh(x) +--R + +--R +-+ +--R (- 5984\|2 - 7584)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 568\|2 - 672)cosh(x) + (4680\|2 + 5216)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 11440\|2 - 11328)cosh(x) + (8976\|2 + 6848)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6552\|2 - 7968)cosh(x) + 552\|2 + 736 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 224\|2 - 288)cosh(x) + (2592\|2 + 3296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 9664\|2 - 12096)cosh(x) + (13632\|2 + 16832)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5984\|2 - 7584)cosh(x) + (672\|2 + 864)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 36\|2 - 48)cosh(x) + (552\|2 + 736)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 2844\|2 - 3792)cosh(x) + (5424\|2 + 7232)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 2844\|2 - 3792)cosh(x) + (552\|2 + 736)cosh(x) - 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (9\|2 + 12)sinh(x) + (56\|2 + 72)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((142\|2 + 168)cosh(x) - 138\|2 - 184)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((184\|2 + 168)cosh(x) + (- 648\|2 - 824)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((119\|2 - 12)cosh(x) + (- 1170\|2 - 1304)cosh(x) + 711\|2 + 948) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (16\|2 - 240)cosh(x) + (- 960\|2 - 544)cosh(x) +--R + +--R +-+ +--R (2416\|2 + 3024)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 28\|2 - 336)cosh(x) + (- 228\|2 + 976)cosh(x) +--R + +--R +-+ 2 +-+ +--R (2860\|2 + 2832)cosh(x) - 1356\|2 - 1808 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (16\|2 - 240)cosh(x) + (144\|2 + 1712)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1072\|2 - 720)cosh(x) + (- 3408\|2 - 4208)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (119\|2 - 12)cosh(x) + (- 228\|2 + 976)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 166\|2 - 2952)cosh(x) + (- 2244\|2 - 1712)cosh(x) + 711\|2 +--R + +--R 948 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (184\|2 + 168)cosh(x) + (- 960\|2 - 544)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1072\|2 - 720)cosh(x) + (- 384\|2 + 1376)cosh(x) +--R + +--R +-+ +--R (1496\|2 + 1896)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (142\|2 + 168)cosh(x) + (- 1170\|2 - 1304)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (2860\|2 + 2832)cosh(x) + (- 2244\|2 - 1712)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1638\|2 + 1992)cosh(x) - 138\|2 - 184 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (56\|2 + 72)cosh(x) + (- 648\|2 - 824)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2416\|2 + 3024)cosh(x) + (- 3408\|2 - 4208)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1496\|2 + 1896)cosh(x) + (- 168\|2 - 216)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (9\|2 + 12)cosh(x) + (- 138\|2 - 184)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (711\|2 + 948)cosh(x) + (- 1356\|2 - 1808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (711\|2 + 948)cosh(x) + (- 138\|2 - 184)cosh(x) + 9\|2 + 12 +--R Type: Expression Integer +--E 150 + +--S 151 of 518 +t0930:= 1/(sech(x)^2-tanh(x)^2)^3 +--R +--R +--R 1 +--R (151) - ----------------------------------------------------------- +--R 6 2 4 4 2 6 +--R tanh(x) - 3sech(x) tanh(x) + 3sech(x) tanh(x) - sech(x) +--R Type: Expression Integer +--E 151 + +--S 152 of 518 +r0930:= -x+7/8*atanh(2^(1/2)*tanh(x))*2^(1/2)-3/2*tanh(x)/(1-2*tanh(x)^2)^2+_ + 4*tanh(x)^3/(1-2*tanh(x)^2)^2+7*tanh(x)/(4-8*tanh(x)^2) +--R +--R +--R (152) +--R +-+ 4 +-+ 2 +-+ +-+ +--R (28\|2 tanh(x) - 28\|2 tanh(x) + 7\|2 )atanh(\|2 tanh(x)) +--R + +--R 4 3 2 +--R - 32x tanh(x) + 4tanh(x) + 32x tanh(x) + 2tanh(x) - 8x +--R / +--R 4 2 +--R 32tanh(x) - 32tanh(x) + 8 +--R Type: Expression Integer +--E 152 + +--S 153 of 518 +a0930:= integrate(t0930,x) +--R +--R +--R (153) +--R 8 7 2 6 +--R 7sinh(x) + 56cosh(x)sinh(x) + (196cosh(x) - 84)sinh(x) +--R + +--R 3 5 +--R (392cosh(x) - 504cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (490cosh(x) - 1260cosh(x) + 266)sinh(x) +--R + +--R 5 3 3 +--R (392cosh(x) - 1680cosh(x) + 1064cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (196cosh(x) - 1260cosh(x) + 1596cosh(x) - 84)sinh(x) +--R + +--R 7 5 3 +--R (56cosh(x) - 504cosh(x) + 1064cosh(x) - 168cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 7cosh(x) - 84cosh(x) + 266cosh(x) - 84cosh(x) + 7 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ 8 +-+ 7 +--R - 8x\|2 sinh(x) - 64x\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 224x\|2 cosh(x) + (96x + 68)\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 448x\|2 cosh(x) + (576x + 408)\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 560x\|2 cosh(x) + (1440x + 1020)\|2 cosh(x) + (- 304x - 228)\|2 ) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R - 448x\|2 cosh(x) + (1920x + 1360)\|2 cosh(x) +--R + +--R +-+ +--R (- 1216x - 912)\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 224x\|2 cosh(x) + (1440x + 1020)\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 1824x - 1368)\|2 cosh(x) + (96x + 76)\|2 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R - 64x\|2 cosh(x) + (576x + 408)\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 1216x - 912)\|2 cosh(x) + (192x + 152)\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 8x\|2 cosh(x) + (96x + 68)\|2 cosh(x) + (- 304x - 228)\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (96x + 76)\|2 cosh(x) + (- 8x - 12)\|2 +--R / +--R +-+ 8 +-+ 7 +--R 8\|2 sinh(x) + 64\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (224\|2 cosh(x) - 96\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (448\|2 cosh(x) - 576\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (560\|2 cosh(x) - 1440\|2 cosh(x) + 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (448\|2 cosh(x) - 1920\|2 cosh(x) + 1216\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (224\|2 cosh(x) - 1440\|2 cosh(x) + 1824\|2 cosh(x) - 96\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (64\|2 cosh(x) - 576\|2 cosh(x) + 1216\|2 cosh(x) - 192\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R 8\|2 cosh(x) - 96\|2 cosh(x) + 304\|2 cosh(x) - 96\|2 cosh(x) + 8\|2 +--R Type: Union(Expression Integer,...) +--E 153 + +--S 154 of 518 +m0930:= a0930-r0930 +--R +--R +--R (154) +--R 8 7 2 6 +--R 28sinh(x) + 224cosh(x)sinh(x) + (784cosh(x) - 336)sinh(x) +--R + +--R 3 5 +--R (1568cosh(x) - 2016cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (1960cosh(x) - 5040cosh(x) + 1064)sinh(x) +--R + +--R 5 3 3 +--R (1568cosh(x) - 6720cosh(x) + 4256cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (784cosh(x) - 5040cosh(x) + 6384cosh(x) - 336)sinh(x) +--R + +--R 7 5 3 +--R (224cosh(x) - 2016cosh(x) + 4256cosh(x) - 672cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 28cosh(x) - 336cosh(x) + 1064cosh(x) - 336cosh(x) + 28 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - 28sinh(x) - 224cosh(x)sinh(x) + (- 784cosh(x) + 336)sinh(x) +--R + +--R 3 5 +--R (- 1568cosh(x) + 2016cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 1960cosh(x) + 5040cosh(x) - 1064)sinh(x) +--R + +--R 5 3 3 +--R (- 1568cosh(x) + 6720cosh(x) - 4256cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 784cosh(x) + 5040cosh(x) - 6384cosh(x) + 336)sinh(x) +--R + +--R 7 5 3 +--R (- 224cosh(x) + 2016cosh(x) - 4256cosh(x) + 672cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 28cosh(x) + 336cosh(x) - 1064cosh(x) + 336cosh(x) - 28 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 7sinh(x) + 56cosh(x)sinh(x) + (196cosh(x) - 84)sinh(x) +--R + +--R 3 5 +--R (392cosh(x) - 504cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (490cosh(x) - 1260cosh(x) + 266)sinh(x) +--R + +--R 5 3 3 +--R (392cosh(x) - 1680cosh(x) + 1064cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (196cosh(x) - 1260cosh(x) + 1596cosh(x) - 84)sinh(x) +--R + +--R 7 5 3 +--R (56cosh(x) - 504cosh(x) + 1064cosh(x) - 168cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 7cosh(x) - 84cosh(x) + 266cosh(x) - 84cosh(x) + 7 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) - 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R 8 7 +--R - 56sinh(x) - 448cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 1568cosh(x) + 672)sinh(x) +--R + +--R 3 5 +--R (- 3136cosh(x) + 4032cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 3920cosh(x) + 10080cosh(x) - 2128)sinh(x) +--R + +--R 5 3 3 +--R (- 3136cosh(x) + 13440cosh(x) - 8512cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 1568cosh(x) + 10080cosh(x) - 12768cosh(x) + 672)sinh(x) +--R + +--R 7 5 3 +--R (- 448cosh(x) + 4032cosh(x) - 8512cosh(x) + 1344cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 56cosh(x) + 672cosh(x) - 2128cosh(x) + 672cosh(x) - 56 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 56sinh(x) + 448cosh(x)sinh(x) + (1568cosh(x) - 672)sinh(x) +--R + +--R 3 5 +--R (3136cosh(x) - 4032cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (3920cosh(x) - 10080cosh(x) + 2128)sinh(x) +--R + +--R 5 3 3 +--R (3136cosh(x) - 13440cosh(x) + 8512cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (1568cosh(x) - 10080cosh(x) + 12768cosh(x) - 672)sinh(x) +--R + +--R 7 5 3 +--R (448cosh(x) - 4032cosh(x) + 8512cosh(x) - 1344cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 56cosh(x) - 672cosh(x) + 2128cosh(x) - 672cosh(x) + 56 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - 14sinh(x) - 112cosh(x)sinh(x) + (- 392cosh(x) + 168)sinh(x) +--R + +--R 3 5 +--R (- 784cosh(x) + 1008cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 980cosh(x) + 2520cosh(x) - 532)sinh(x) +--R + +--R 5 3 3 +--R (- 784cosh(x) + 3360cosh(x) - 2128cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 392cosh(x) + 2520cosh(x) - 3192cosh(x) + 168)sinh(x) +--R + +--R 7 5 3 +--R (- 112cosh(x) + 1008cosh(x) - 2128cosh(x) + 336cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 14cosh(x) + 168cosh(x) - 532cosh(x) + 168cosh(x) - 14 +--R * +--R +-+ +--R atanh(\|2 tanh(x)) +--R + +--R +-+ 6 +-+ 5 +--R 272\|2 sinh(x) + 1632\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (4080\|2 cosh(x) - 912\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (5440\|2 cosh(x) - 3648\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (4080\|2 cosh(x) - 5472\|2 cosh(x) + 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (1632\|2 cosh(x) - 3648\|2 cosh(x) + 608\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 272\|2 cosh(x) - 912\|2 cosh(x) + 304\|2 cosh(x) - 48\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 4\|2 sinh(x) - 32\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 112\|2 cosh(x) + 48\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 224\|2 cosh(x) + 288\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 280\|2 cosh(x) + 720\|2 cosh(x) - 152\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 224\|2 cosh(x) + 960\|2 cosh(x) - 608\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 112\|2 cosh(x) + 720\|2 cosh(x) - 912\|2 cosh(x) + 48\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 32\|2 cosh(x) + 288\|2 cosh(x) - 608\|2 cosh(x) +--R + +--R +-+ +--R 96\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 4\|2 cosh(x) + 48\|2 cosh(x) - 152\|2 cosh(x) + 48\|2 cosh(x) +--R + +--R +-+ +--R - 4\|2 +--R * +--R 3 +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R - 272\|2 sinh(x) - 1632\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (- 4080\|2 cosh(x) + 912\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (- 5440\|2 cosh(x) + 3648\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 4080\|2 cosh(x) + 5472\|2 cosh(x) - 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 1632\|2 cosh(x) + 3648\|2 cosh(x) - 608\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 272\|2 cosh(x) + 912\|2 cosh(x) - 304\|2 cosh(x) + 48\|2 +--R * +--R 2 +--R tanh(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) + 24\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 112\|2 cosh(x) + 144\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 140\|2 cosh(x) + 360\|2 cosh(x) - 76\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 112\|2 cosh(x) + 480\|2 cosh(x) - 304\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 56\|2 cosh(x) + 360\|2 cosh(x) - 456\|2 cosh(x) + 24\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 16\|2 cosh(x) + 144\|2 cosh(x) - 304\|2 cosh(x) +--R + +--R +-+ +--R 48\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R - 2\|2 cosh(x) + 24\|2 cosh(x) - 76\|2 cosh(x) + 24\|2 cosh(x) +--R + +--R +-+ +--R - 2\|2 +--R * +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R 68\|2 sinh(x) + 408\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (1020\|2 cosh(x) - 228\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (1360\|2 cosh(x) - 912\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (1020\|2 cosh(x) - 1368\|2 cosh(x) + 76\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (408\|2 cosh(x) - 912\|2 cosh(x) + 152\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 68\|2 cosh(x) - 228\|2 cosh(x) + 76\|2 cosh(x) - 12\|2 +--R / +--R +-+ 8 +-+ 7 +--R 32\|2 sinh(x) + 256\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (896\|2 cosh(x) - 384\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (1792\|2 cosh(x) - 2304\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (2240\|2 cosh(x) - 5760\|2 cosh(x) + 1216\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (1792\|2 cosh(x) - 7680\|2 cosh(x) + 4864\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (896\|2 cosh(x) - 5760\|2 cosh(x) + 7296\|2 cosh(x) - 384\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 256\|2 cosh(x) - 2304\|2 cosh(x) + 4864\|2 cosh(x) +--R + +--R +-+ +--R - 768\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 32\|2 cosh(x) - 384\|2 cosh(x) + 1216\|2 cosh(x) - 384\|2 cosh(x) +--R + +--R +-+ +--R 32\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 32\|2 sinh(x) - 256\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 896\|2 cosh(x) + 384\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 1792\|2 cosh(x) + 2304\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 2240\|2 cosh(x) + 5760\|2 cosh(x) - 1216\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 1792\|2 cosh(x) + 7680\|2 cosh(x) - 4864\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 896\|2 cosh(x) + 5760\|2 cosh(x) - 7296\|2 cosh(x) + 384\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 256\|2 cosh(x) + 2304\|2 cosh(x) - 4864\|2 cosh(x) +--R + +--R +-+ +--R 768\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 32\|2 cosh(x) + 384\|2 cosh(x) - 1216\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 384\|2 cosh(x) - 32\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 8\|2 sinh(x) + 64\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (224\|2 cosh(x) - 96\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (448\|2 cosh(x) - 576\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (560\|2 cosh(x) - 1440\|2 cosh(x) + 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (448\|2 cosh(x) - 1920\|2 cosh(x) + 1216\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (224\|2 cosh(x) - 1440\|2 cosh(x) + 1824\|2 cosh(x) - 96\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (64\|2 cosh(x) - 576\|2 cosh(x) + 1216\|2 cosh(x) - 192\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R 8\|2 cosh(x) - 96\|2 cosh(x) + 304\|2 cosh(x) - 96\|2 cosh(x) + 8\|2 +--R Type: Expression Integer +--E 154 + +--S 155 of 518 +--d0930:= D(m0930,x) +--E 155 + +--S 156 of 518 +t0931:= 1/(coth(x)^2+csch(x)^2) +--R +--R +--R 1 +--R (155) ------------------- +--R 2 2 +--R csch(x) + coth(x) +--R Type: Expression Integer +--E 156 + +--S 157 of 518 +r0931:= x-atanh(1/2*2^(1/2)*tanh(x))*2^(1/2) +--R +--R +--R +-+ +--R +-+ \|2 tanh(x) +--R (156) - \|2 atanh(-----------) + x +--R 2 +--R Type: Expression Integer +--E 157 + +--S 158 of 518 +a0931:= integrate(t0931,x) +--R +--R +--R (157) +--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 158 + +--S 159 of 518 +m0931:= a0931-r0931 +--R +--R +--R (158) +--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 tanh(x) +--R 2\|2 atanh(-----------) +--R 2 +--R / +--R 2 +--R Type: Expression Integer +--E 159 + +--S 160 of 518 +d0931:= D(m0931,x) +--R +--R +--R (159) +--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 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 ((- 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 +-+ 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 * +--R 2 +--R tanh(x) +--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 Type: Expression Integer +--E 160 + +--S 161 of 518 +t0932:= 1/(coth(x)^2+csch(x)^2)^2 +--R +--R +--R 1 +--R (160) --------------------------------------- +--R 4 2 2 4 +--R csch(x) + 2coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 161 + +--S 162 of 518 +r0932:= x-1/2*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)-tanh(x)/(2-tanh(x)^2) +--R +--R +--R (161) +--R +-+ +--R +-+ 2 +-+ \|2 tanh(x) 2 +--R (- \|2 tanh(x) + 2\|2 )atanh(-----------) + 2x tanh(x) + 2tanh(x) - 4x +--R 2 +--R ------------------------------------------------------------------------ +--R 2 +--R 2tanh(x) - 4 +--R Type: Expression Integer +--E 162 + +--S 163 of 518 +a0932:= integrate(t0932,x) +--R +--R +--R (162) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 6)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 12cosh(x))sinh(x) + cosh(x) + 6cosh(x) + 1 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) + 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +-+ 4 +-+ 3 +--R 2x\|2 sinh(x) + 8x\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12x\|2 cosh(x) + (12x + 12)\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8x\|2 cosh(x) + (24x + 24)\|2 cosh(x))sinh(x) + 2x\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (12x + 12)\|2 cosh(x) + (2x + 4)\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 +-+ 2 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) + (12\|2 cosh(x) + 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (8\|2 cosh(x) + 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) + 12\|2 cosh(x) +--R + +--R +-+ +--R 2\|2 +--R Type: Union(Expression Integer,...) +--E 163 + +--S 164 of 518 +m0932:= a0932-r0932 +--R +--R +--R (163) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 6)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 12cosh(x))sinh(x) + cosh(x) + 6cosh(x) + 1 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - 2sinh(x) - 8cosh(x)sinh(x) + (- 12cosh(x) - 12)sinh(x) +--R + +--R 3 4 2 +--R (- 8cosh(x) - 24cosh(x))sinh(x) - 2cosh(x) - 12cosh(x) - 2 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) + 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) + 12)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) + 24cosh(x))sinh(x) + 2cosh(x) + 12cosh(x) + 2 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - 4sinh(x) - 16cosh(x)sinh(x) + (- 24cosh(x) - 24)sinh(x) +--R + +--R 3 4 2 +--R (- 16cosh(x) - 48cosh(x))sinh(x) - 4cosh(x) - 24cosh(x) - 4 +--R * +--R +-+ +--R \|2 tanh(x) +--R atanh(-----------) +--R 2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ 2 +--R (12\|2 sinh(x) + 24\|2 cosh(x)sinh(x) + 12\|2 cosh(x) + 4\|2 )tanh(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) - 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 8\|2 cosh(x) - 24\|2 cosh(x))sinh(x) - 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 12\|2 cosh(x) - 2\|2 +--R * +--R tanh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R - 24\|2 sinh(x) - 48\|2 cosh(x)sinh(x) - 24\|2 cosh(x) - 8\|2 +--R / +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) + 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) + 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 12\|2 cosh(x) + 2\|2 +--R * +--R 2 +--R tanh(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) - 24\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 16\|2 cosh(x) - 48\|2 cosh(x))sinh(x) - 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 24\|2 cosh(x) - 4\|2 +--R Type: Expression Integer +--E 164 + +--S 165 of 518 +d0932:= D(m0932,x) +--R +--R +--R (164) +--R +-+ 12 +-+ 11 +--R (- 6\|2 - 8)sinh(x) + (- 48\|2 - 64)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 156\|2 - 208)cosh(x) - 198\|2 - 264)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 240\|2 - 320)cosh(x) + (- 1000\|2 - 1296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 90\|2 - 120)cosh(x) + (- 1886\|2 - 2280)cosh(x) - 876\|2 +--R + +--R - 1168 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (288\|2 + 384)cosh(x) + (- 1216\|2 - 960)cosh(x) +--R + +--R +-+ +--R (- 3568\|2 - 4576)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (504\|2 + 672)cosh(x) + (1060\|2 + 2544)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 4432\|2 - 4864)cosh(x) - 1212\|2 - 1616 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (288\|2 + 384)cosh(x) + (2384\|2 + 4512)cosh(x) +--R + +--R +-+ 3 +-+ +--R (368\|2 + 3040)cosh(x) + (- 2912\|2 - 3584)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 90\|2 - 120)cosh(x) + (1060\|2 + 2544)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4216\|2 + 8992)cosh(x) + (- 1556\|2 - 944)cosh(x) - 654\|2 +--R + +--R - 872 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 240\|2 - 320)cosh(x) + (- 1216\|2 - 960)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (368\|2 + 3040)cosh(x) + (288\|2 + 2048)cosh(x) +--R + +--R +-+ +--R (- 480\|2 - 480)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 156\|2 - 208)cosh(x) + (- 1886\|2 - 2280)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 4432\|2 - 4864)cosh(x) + (- 1556\|2 - 944)cosh(x) +--R + +--R +-+ 2 +-+ +--R (348\|2 + 784)cosh(x) - 126\|2 - 168 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 48\|2 - 64)cosh(x) + (- 1000\|2 - 1296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 3568\|2 - 4576)cosh(x) + (- 2912\|2 - 3584)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 480\|2 - 480)cosh(x) + (- 184\|2 - 240)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 6\|2 - 8)cosh(x) + (- 198\|2 - 264)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 876\|2 - 1168)cosh(x) + (- 1212\|2 - 1616)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 654\|2 - 872)cosh(x) + (- 126\|2 - 168)cosh(x) +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 12\|2 - 16)sinh(x) + (- 32\|2 - 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((56\|2 + 160)cosh(x) + 240\|2 + 320)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((224\|2 + 608)cosh(x) + (1408\|2 + 1888)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 116\|2 + 528)cosh(x) + (2864\|2 + 3904)cosh(x) + 660\|2 +--R + +--R 880 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1216\|2 - 576)cosh(x) + (1024\|2 + 1664)cosh(x) +--R + +--R +-+ +--R (4608\|2 + 6208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 1904\|2 - 1344)cosh(x) + (- 5152\|2 - 6272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6288\|2 + 8128)cosh(x) - 576\|2 - 768 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 1216\|2 - 576)cosh(x) + (- 8960\|2 - 11200)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5760\|2 - 9280)cosh(x) + (- 1984\|2 - 2496)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 116\|2 + 528)cosh(x) + (- 5152\|2 - 6272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 16200\|2 - 24160)cosh(x) + (- 2752\|2 - 3072)cosh(x) +--R + +--R +-+ +--R - 228\|2 - 304 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (224\|2 + 608)cosh(x) + (1024\|2 + 1664)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 5760\|2 - 9280)cosh(x) + (- 2688\|2 - 2688)cosh(x) +--R + +--R +-+ +--R (- 4064\|2 - 5664)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (56\|2 + 160)cosh(x) + (2864\|2 + 3904)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (6288\|2 + 8128)cosh(x) + (- 2752\|2 - 3072)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 7944\|2 - 11104)cosh(x) - 48\|2 - 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 32\|2 - 32)cosh(x) + (1408\|2 + 1888)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (4608\|2 + 6208)cosh(x) + (- 1984\|2 - 2496)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4064\|2 - 5664)cosh(x) + (64\|2 + 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 12\|2 - 16)cosh(x) + (240\|2 + 320)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (660\|2 + 880)cosh(x) + (- 576\|2 - 768)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 228\|2 - 304)cosh(x) + (- 48\|2 - 64)cosh(x) - 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (12\|2 + 16)sinh(x) + (32\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 56\|2 - 160)cosh(x) - 240\|2 - 320)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 224\|2 - 608)cosh(x) + (- 1408\|2 - 1888)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((116\|2 - 528)cosh(x) + (- 2864\|2 - 3904)cosh(x) - 660\|2 - 880) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1216\|2 + 576)cosh(x) + (- 1024\|2 - 1664)cosh(x) +--R + +--R +-+ +--R (- 4608\|2 - 6208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1904\|2 + 1344)cosh(x) + (5152\|2 + 6272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6288\|2 - 8128)cosh(x) + 576\|2 + 768 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (1216\|2 + 576)cosh(x) + (8960\|2 + 11200)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5760\|2 + 9280)cosh(x) + (1984\|2 + 2496)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (116\|2 - 528)cosh(x) + (5152\|2 + 6272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (16200\|2 + 24160)cosh(x) + (2752\|2 + 3072)cosh(x) + 228\|2 + 304 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 224\|2 - 608)cosh(x) + (- 1024\|2 - 1664)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (5760\|2 + 9280)cosh(x) + (2688\|2 + 2688)cosh(x) +--R + +--R +-+ +--R (4064\|2 + 5664)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 56\|2 - 160)cosh(x) + (- 2864\|2 - 3904)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 6288\|2 - 8128)cosh(x) + (2752\|2 + 3072)cosh(x) +--R + +--R +-+ 2 +-+ +--R (7944\|2 + 11104)cosh(x) + 48\|2 + 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (32\|2 + 32)cosh(x) + (- 1408\|2 - 1888)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 4608\|2 - 6208)cosh(x) + (1984\|2 + 2496)cosh(x) +--R + +--R +-+ 3 +-+ +--R (4064\|2 + 5664)cosh(x) + (- 64\|2 - 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (12\|2 + 16)cosh(x) + (- 240\|2 - 320)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 660\|2 - 880)cosh(x) + (576\|2 + 768)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (228\|2 + 304)cosh(x) + (48\|2 + 64)cosh(x) + 36\|2 + 48 +--R / +--R +-+ 12 +-+ 11 +--R (9\|2 + 12)sinh(x) + (56\|2 + 72)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((142\|2 + 168)cosh(x) + 138\|2 + 184)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((184\|2 + 168)cosh(x) + (648\|2 + 824)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (119\|2 - 12)cosh(x) + (1170\|2 + 1304)cosh(x) + 711\|2 +--R + +--R 948 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (16\|2 - 240)cosh(x) + (960\|2 + 544)cosh(x) +--R + +--R +-+ +--R (2416\|2 + 3024)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 28\|2 - 336)cosh(x) + (228\|2 - 976)cosh(x) +--R + +--R +-+ 2 +-+ +--R (2860\|2 + 2832)cosh(x) + 1356\|2 + 1808 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (16\|2 - 240)cosh(x) + (- 144\|2 - 1712)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1072\|2 - 720)cosh(x) + (3408\|2 + 4208)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (119\|2 - 12)cosh(x) + (228\|2 - 976)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 166\|2 - 2952)cosh(x) + (2244\|2 + 1712)cosh(x) + 711\|2 +--R + +--R 948 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (184\|2 + 168)cosh(x) + (960\|2 + 544)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1072\|2 - 720)cosh(x) + (384\|2 - 1376)cosh(x) +--R + +--R +-+ +--R (1496\|2 + 1896)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (142\|2 + 168)cosh(x) + (1170\|2 + 1304)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (2860\|2 + 2832)cosh(x) + (2244\|2 + 1712)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1638\|2 + 1992)cosh(x) + 138\|2 + 184 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (56\|2 + 72)cosh(x) + (648\|2 + 824)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2416\|2 + 3024)cosh(x) + (3408\|2 + 4208)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1496\|2 + 1896)cosh(x) + (168\|2 + 216)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (9\|2 + 12)cosh(x) + (138\|2 + 184)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (711\|2 + 948)cosh(x) + (1356\|2 + 1808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (711\|2 + 948)cosh(x) + (138\|2 + 184)cosh(x) + 9\|2 + 12 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 36\|2 - 48)sinh(x) + (- 224\|2 - 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 568\|2 - 672)cosh(x) - 552\|2 - 736)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 736\|2 - 672)cosh(x) + (- 2592\|2 - 3296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 476\|2 + 48)cosh(x) + (- 4680\|2 - 5216)cosh(x) - 2844\|2 +--R + +--R - 3792 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 64\|2 + 960)cosh(x) + (- 3840\|2 - 2176)cosh(x) +--R + +--R +-+ +--R (- 9664\|2 - 12096)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (112\|2 + 1344)cosh(x) + (- 912\|2 + 3904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 11440\|2 - 11328)cosh(x) - 5424\|2 - 7232 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 64\|2 + 960)cosh(x) + (576\|2 + 6848)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4288\|2 + 2880)cosh(x) + (- 13632\|2 - 16832)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 476\|2 + 48)cosh(x) + (- 912\|2 + 3904)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (664\|2 + 11808)cosh(x) + (- 8976\|2 - 6848)cosh(x) +--R + +--R +-+ +--R - 2844\|2 - 3792 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 736\|2 - 672)cosh(x) + (- 3840\|2 - 2176)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4288\|2 + 2880)cosh(x) + (- 1536\|2 + 5504)cosh(x) +--R + +--R +-+ +--R (- 5984\|2 - 7584)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 568\|2 - 672)cosh(x) + (- 4680\|2 - 5216)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 11440\|2 - 11328)cosh(x) + (- 8976\|2 - 6848)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6552\|2 - 7968)cosh(x) - 552\|2 - 736 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 224\|2 - 288)cosh(x) + (- 2592\|2 - 3296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 9664\|2 - 12096)cosh(x) + (- 13632\|2 - 16832)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5984\|2 - 7584)cosh(x) + (- 672\|2 - 864)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 36\|2 - 48)cosh(x) + (- 552\|2 - 736)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 2844\|2 - 3792)cosh(x) + (- 5424\|2 - 7232)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 2844\|2 - 3792)cosh(x) + (- 552\|2 - 736)cosh(x) - 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (36\|2 + 48)sinh(x) + (224\|2 + 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((568\|2 + 672)cosh(x) + 552\|2 + 736)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((736\|2 + 672)cosh(x) + (2592\|2 + 3296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((476\|2 - 48)cosh(x) + (4680\|2 + 5216)cosh(x) + 2844\|2 + 3792) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (64\|2 - 960)cosh(x) + (3840\|2 + 2176)cosh(x) +--R + +--R +-+ +--R (9664\|2 + 12096)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 112\|2 - 1344)cosh(x) + (912\|2 - 3904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (11440\|2 + 11328)cosh(x) + 5424\|2 + 7232 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (64\|2 - 960)cosh(x) + (- 576\|2 - 6848)cosh(x) +--R + +--R +-+ 3 +-+ +--R (4288\|2 - 2880)cosh(x) + (13632\|2 + 16832)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (476\|2 - 48)cosh(x) + (912\|2 - 3904)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 664\|2 - 11808)cosh(x) + (8976\|2 + 6848)cosh(x) + 2844\|2 +--R + +--R 3792 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (736\|2 + 672)cosh(x) + (3840\|2 + 2176)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (4288\|2 - 2880)cosh(x) + (1536\|2 - 5504)cosh(x) +--R + +--R +-+ +--R (5984\|2 + 7584)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (568\|2 + 672)cosh(x) + (4680\|2 + 5216)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (11440\|2 + 11328)cosh(x) + (8976\|2 + 6848)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6552\|2 + 7968)cosh(x) + 552\|2 + 736 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (224\|2 + 288)cosh(x) + (2592\|2 + 3296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (9664\|2 + 12096)cosh(x) + (13632\|2 + 16832)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5984\|2 + 7584)cosh(x) + (672\|2 + 864)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (36\|2 + 48)cosh(x) + (552\|2 + 736)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (2844\|2 + 3792)cosh(x) + (5424\|2 + 7232)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (2844\|2 + 3792)cosh(x) + (552\|2 + 736)cosh(x) + 36\|2 + 48 +--R Type: Expression Integer +--E 165 + +--S 166 of 518 +t0933:= 1/(coth(x)^2+csch(x)^2)^3 +--R +--R +--R 1 +--R (165) ----------------------------------------------------------- +--R 6 2 4 4 2 6 +--R csch(x) + 3coth(x) csch(x) + 3coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 166 + +--S 167 of 518 +r0933:= x-7/8*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)-tanh(x)/(2-tanh(x)^2)^2+_ + tanh(x)/(8-4*tanh(x)^2) +--R +--R +--R (166) +--R +-+ +--R +-+ 4 +-+ 2 +-+ \|2 tanh(x) +--R (- 7\|2 tanh(x) + 28\|2 tanh(x) - 28\|2 )atanh(-----------) +--R 2 +--R + +--R 4 3 2 +--R 8x tanh(x) - 2tanh(x) - 32x tanh(x) - 4tanh(x) + 32x +--R / +--R 4 2 +--R 8tanh(x) - 32tanh(x) + 32 +--R Type: Expression Integer +--E 167 + +--S 168 of 518 +a0933:= integrate(t0933,x) +--R +--R +--R (167) +--R 8 7 2 6 +--R 7sinh(x) + 56cosh(x)sinh(x) + (196cosh(x) + 84)sinh(x) +--R + +--R 3 5 +--R (392cosh(x) + 504cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (490cosh(x) + 1260cosh(x) + 266)sinh(x) +--R + +--R 5 3 3 +--R (392cosh(x) + 1680cosh(x) + 1064cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (196cosh(x) + 1260cosh(x) + 1596cosh(x) + 84)sinh(x) +--R + +--R 7 5 3 +--R (56cosh(x) + 504cosh(x) + 1064cosh(x) + 168cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 7cosh(x) + 84cosh(x) + 266cosh(x) + 84cosh(x) + 7 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) + 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +-+ 8 +-+ 7 +--R 8x\|2 sinh(x) + 64x\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (224x\|2 cosh(x) + (96x + 68)\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (448x\|2 cosh(x) + (576x + 408)\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (560x\|2 cosh(x) + (1440x + 1020)\|2 cosh(x) + (304x + 228)\|2 ) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R 448x\|2 cosh(x) + (1920x + 1360)\|2 cosh(x) +--R + +--R +-+ +--R (1216x + 912)\|2 cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R 224x\|2 cosh(x) + (1440x + 1020)\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (1824x + 1368)\|2 cosh(x) + (96x + 76)\|2 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R 64x\|2 cosh(x) + (576x + 408)\|2 cosh(x) +--R + +--R +-+ 3 +-+ +--R (1216x + 912)\|2 cosh(x) + (192x + 152)\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 8x\|2 cosh(x) + (96x + 68)\|2 cosh(x) + (304x + 228)\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (96x + 76)\|2 cosh(x) + (8x + 12)\|2 +--R / +--R +-+ 8 +-+ 7 +--R 8\|2 sinh(x) + 64\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (224\|2 cosh(x) + 96\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (448\|2 cosh(x) + 576\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (560\|2 cosh(x) + 1440\|2 cosh(x) + 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (448\|2 cosh(x) + 1920\|2 cosh(x) + 1216\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (224\|2 cosh(x) + 1440\|2 cosh(x) + 1824\|2 cosh(x) + 96\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (64\|2 cosh(x) + 576\|2 cosh(x) + 1216\|2 cosh(x) + 192\|2 cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +-+ +--R 8\|2 cosh(x) + 96\|2 cosh(x) + 304\|2 cosh(x) + 96\|2 cosh(x) + 8\|2 +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 518 +m0933:= a0933-r0933 +--R +--R +--R (168) +--R 8 7 2 6 +--R 7sinh(x) + 56cosh(x)sinh(x) + (196cosh(x) + 84)sinh(x) +--R + +--R 3 5 +--R (392cosh(x) + 504cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (490cosh(x) + 1260cosh(x) + 266)sinh(x) +--R + +--R 5 3 3 +--R (392cosh(x) + 1680cosh(x) + 1064cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (196cosh(x) + 1260cosh(x) + 1596cosh(x) + 84)sinh(x) +--R + +--R 7 5 3 +--R (56cosh(x) + 504cosh(x) + 1064cosh(x) + 168cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 7cosh(x) + 84cosh(x) + 266cosh(x) + 84cosh(x) + 7 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - 28sinh(x) - 224cosh(x)sinh(x) + (- 784cosh(x) - 336)sinh(x) +--R + +--R 3 5 +--R (- 1568cosh(x) - 2016cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 1960cosh(x) - 5040cosh(x) - 1064)sinh(x) +--R + +--R 5 3 3 +--R (- 1568cosh(x) - 6720cosh(x) - 4256cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 784cosh(x) - 5040cosh(x) - 6384cosh(x) - 336)sinh(x) +--R + +--R 7 5 3 +--R (- 224cosh(x) - 2016cosh(x) - 4256cosh(x) - 672cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 28cosh(x) - 336cosh(x) - 1064cosh(x) - 336cosh(x) - 28 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 28sinh(x) + 224cosh(x)sinh(x) + (784cosh(x) + 336)sinh(x) +--R + +--R 3 5 +--R (1568cosh(x) + 2016cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (1960cosh(x) + 5040cosh(x) + 1064)sinh(x) +--R + +--R 5 3 3 +--R (1568cosh(x) + 6720cosh(x) + 4256cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (784cosh(x) + 5040cosh(x) + 6384cosh(x) + 336)sinh(x) +--R + +--R 7 5 3 +--R (224cosh(x) + 2016cosh(x) + 4256cosh(x) + 672cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 28cosh(x) + 336cosh(x) + 1064cosh(x) + 336cosh(x) + 28 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) + 3\|2 + 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R 8 7 2 6 +--R 14sinh(x) + 112cosh(x)sinh(x) + (392cosh(x) + 168)sinh(x) +--R + +--R 3 5 +--R (784cosh(x) + 1008cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (980cosh(x) + 2520cosh(x) + 532)sinh(x) +--R + +--R 5 3 3 +--R (784cosh(x) + 3360cosh(x) + 2128cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (392cosh(x) + 2520cosh(x) + 3192cosh(x) + 168)sinh(x) +--R + +--R 7 5 3 +--R (112cosh(x) + 1008cosh(x) + 2128cosh(x) + 336cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 14cosh(x) + 168cosh(x) + 532cosh(x) + 168cosh(x) + 14 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 +--R - 56sinh(x) - 448cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 1568cosh(x) - 672)sinh(x) +--R + +--R 3 5 +--R (- 3136cosh(x) - 4032cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 3920cosh(x) - 10080cosh(x) - 2128)sinh(x) +--R + +--R 5 3 3 +--R (- 3136cosh(x) - 13440cosh(x) - 8512cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 1568cosh(x) - 10080cosh(x) - 12768cosh(x) - 672)sinh(x) +--R + +--R 7 5 3 +--R (- 448cosh(x) - 4032cosh(x) - 8512cosh(x) - 1344cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 56cosh(x) - 672cosh(x) - 2128cosh(x) - 672cosh(x) - 56 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 56sinh(x) + 448cosh(x)sinh(x) + (1568cosh(x) + 672)sinh(x) +--R + +--R 3 5 +--R (3136cosh(x) + 4032cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (3920cosh(x) + 10080cosh(x) + 2128)sinh(x) +--R + +--R 5 3 3 +--R (3136cosh(x) + 13440cosh(x) + 8512cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (1568cosh(x) + 10080cosh(x) + 12768cosh(x) + 672)sinh(x) +--R + +--R 7 5 3 +--R (448cosh(x) + 4032cosh(x) + 8512cosh(x) + 1344cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 56cosh(x) + 672cosh(x) + 2128cosh(x) + 672cosh(x) + 56 +--R * +--R +-+ +--R \|2 tanh(x) +--R atanh(-----------) +--R 2 +--R + +--R +-+ 6 +-+ 5 +--R 68\|2 sinh(x) + 408\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (1020\|2 cosh(x) + 228\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (1360\|2 cosh(x) + 912\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (1020\|2 cosh(x) + 1368\|2 cosh(x) + 76\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (408\|2 cosh(x) + 912\|2 cosh(x) + 152\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 68\|2 cosh(x) + 228\|2 cosh(x) + 76\|2 cosh(x) + 12\|2 +--R * +--R 4 +--R tanh(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) + 24\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (112\|2 cosh(x) + 144\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (140\|2 cosh(x) + 360\|2 cosh(x) + 76\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (112\|2 cosh(x) + 480\|2 cosh(x) + 304\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (56\|2 cosh(x) + 360\|2 cosh(x) + 456\|2 cosh(x) + 24\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 16\|2 cosh(x) + 144\|2 cosh(x) + 304\|2 cosh(x) +--R + +--R +-+ +--R 48\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 2\|2 cosh(x) + 24\|2 cosh(x) + 76\|2 cosh(x) + 24\|2 cosh(x) +--R + +--R +-+ +--R 2\|2 +--R * +--R 3 +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R - 272\|2 sinh(x) - 1632\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (- 4080\|2 cosh(x) - 912\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (- 5440\|2 cosh(x) - 3648\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 4080\|2 cosh(x) - 5472\|2 cosh(x) - 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 1632\|2 cosh(x) - 3648\|2 cosh(x) - 608\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 272\|2 cosh(x) - 912\|2 cosh(x) - 304\|2 cosh(x) - 48\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 4\|2 sinh(x) + 32\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (112\|2 cosh(x) + 48\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (224\|2 cosh(x) + 288\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (280\|2 cosh(x) + 720\|2 cosh(x) + 152\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (224\|2 cosh(x) + 960\|2 cosh(x) + 608\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (112\|2 cosh(x) + 720\|2 cosh(x) + 912\|2 cosh(x) + 48\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 32\|2 cosh(x) + 288\|2 cosh(x) + 608\|2 cosh(x) +--R + +--R +-+ +--R 96\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 4\|2 cosh(x) + 48\|2 cosh(x) + 152\|2 cosh(x) + 48\|2 cosh(x) +--R + +--R +-+ +--R 4\|2 +--R * +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R 272\|2 sinh(x) + 1632\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (4080\|2 cosh(x) + 912\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (5440\|2 cosh(x) + 3648\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (4080\|2 cosh(x) + 5472\|2 cosh(x) + 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (1632\|2 cosh(x) + 3648\|2 cosh(x) + 608\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 272\|2 cosh(x) + 912\|2 cosh(x) + 304\|2 cosh(x) + 48\|2 +--R / +--R +-+ 8 +-+ 7 +--R 8\|2 sinh(x) + 64\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (224\|2 cosh(x) + 96\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (448\|2 cosh(x) + 576\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (560\|2 cosh(x) + 1440\|2 cosh(x) + 304\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (448\|2 cosh(x) + 1920\|2 cosh(x) + 1216\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (224\|2 cosh(x) + 1440\|2 cosh(x) + 1824\|2 cosh(x) + 96\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 64\|2 cosh(x) + 576\|2 cosh(x) + 1216\|2 cosh(x) +--R + +--R +-+ +--R 192\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 8\|2 cosh(x) + 96\|2 cosh(x) + 304\|2 cosh(x) + 96\|2 cosh(x) +--R + +--R +-+ +--R 8\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 32\|2 sinh(x) - 256\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 896\|2 cosh(x) - 384\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 1792\|2 cosh(x) - 2304\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 2240\|2 cosh(x) - 5760\|2 cosh(x) - 1216\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 1792\|2 cosh(x) - 7680\|2 cosh(x) - 4864\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 896\|2 cosh(x) - 5760\|2 cosh(x) - 7296\|2 cosh(x) - 384\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 256\|2 cosh(x) - 2304\|2 cosh(x) - 4864\|2 cosh(x) +--R + +--R +-+ +--R - 768\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 32\|2 cosh(x) - 384\|2 cosh(x) - 1216\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 384\|2 cosh(x) - 32\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 32\|2 sinh(x) + 256\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (896\|2 cosh(x) + 384\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (1792\|2 cosh(x) + 2304\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (2240\|2 cosh(x) + 5760\|2 cosh(x) + 1216\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (1792\|2 cosh(x) + 7680\|2 cosh(x) + 4864\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (896\|2 cosh(x) + 5760\|2 cosh(x) + 7296\|2 cosh(x) + 384\|2 )sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 256\|2 cosh(x) + 2304\|2 cosh(x) + 4864\|2 cosh(x) +--R + +--R +-+ +--R 768\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 32\|2 cosh(x) + 384\|2 cosh(x) + 1216\|2 cosh(x) + 384\|2 cosh(x) +--R + +--R +-+ +--R 32\|2 +--R Type: Expression Integer +--E 169 + +--S 170 of 518 +--d0933:= D(m0933,x) +--E 170 + +--S 171 of 518 +t0934:= 1/(coth(x)^2-csch(x)^2) +--R +--R +--R 1 +--R (169) - ------------------- +--R 2 2 +--R csch(x) - coth(x) +--R Type: Expression Integer +--E 171 + +--S 172 of 518 +r0934:= x +--R +--R +--R (170) x +--R Type: Variable x +--E 172 + +--S 173 of 518 +a0934:= integrate(t0934,x) +--R +--R +--R (171) x +--R Type: Union(Expression Integer,...) +--E 173 + +--S 174 of 518 +m0934:= a0934-r0934 +--R +--R +--R (172) 0 +--R Type: Expression Integer +--E 174 + +--S 175 of 518 +d0934:= D(m0934,x) +--R +--R +--R (173) 0 +--R Type: Expression Integer +--E 175 + +--S 176 of 518 +t0935:= 1/(coth(x)^2-csch(x)^2)^2 +--R +--R +--R 1 +--R (174) --------------------------------------- +--R 4 2 2 4 +--R csch(x) - 2coth(x) csch(x) + coth(x) +--R Type: Expression Integer +--E 176 + +--S 177 of 518 +r0935:= x +--R +--R +--R (175) x +--R Type: Variable x +--E 177 + +--S 178 of 518 +a0935:= integrate(t0935,x) +--R +--R +--R (176) x +--R Type: Union(Expression Integer,...) +--E 178 + +--S 179 of 518 +m0935:= a0935-r0935 +--R +--R +--R (177) 0 +--R Type: Expression Integer +--E 179 + +--S 180 of 518 +d0935:= D(m0935,x) +--R +--R +--R (178) 0 +--R Type: Expression Integer +--E 180 + +--S 181 of 518 +t0936:= 1/(coth(x)^2-csch(x)^2)^3 +--R +--R +--R 1 +--R (179) - ----------------------------------------------------------- +--R 6 2 4 4 2 6 +--R csch(x) - 3coth(x) csch(x) + 3coth(x) csch(x) - coth(x) +--R Type: Expression Integer +--E 181 + +--S 182 of 518 +r0936:= x +--R +--R +--R (180) x +--R Type: Variable x +--E 182 + +--S 183 of 518 +a0936:= integrate(t0936,x) +--R +--R +--R (181) x +--R Type: Union(Expression Integer,...) +--E 183 + +--S 184 of 518 +m0936:= a0936-r0936 +--R +--R +--R (182) 0 +--R Type: Expression Integer +--E 184 + +--S 185 of 518 +d0936:= D(m0936,x) +--R +--R +--R (183) 0 +--R Type: Expression Integer +--E 185 + +--S 186 of 518 +t0937:= ((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^3 +--R +--R +--R (184) +--R +---------+ +--R 2 2 2 2 2 2 | 2 2 +--R (3c sinh(x) + 6b c cosh(x)sinh(x) + 3b cosh(x) - c + b )\|- c + b +--R + +--R 3 3 2 2 2 2 3 2 +--R c sinh(x) + 3b c cosh(x)sinh(x) + (3b c cosh(x) - 3c + 3b c)sinh(x) +--R + +--R 3 3 2 3 +--R b cosh(x) + (- 3b c + 3b )cosh(x) +--R Type: Expression Integer +--E 186 + +--S 187 of 518 +r0937:= 5/2*(b^2-c^2)^(3/2)*x+5/2*c*(b^2-c^2)*cosh(x)+_ + 5/2*b*(b^2-c^2)*sinh(x)+5/6*(b^2-c^2)^(1/2)*(c*cosh(x)+_ + b*sinh(x))*((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))+_ + 1/3*(c*cosh(x)+b*sinh(x))*((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^2 +--R +--R +--R (185) +--R 2 2 2 2 +--R 9b c sinh(x) + (9c + 9b )cosh(x)sinh(x) + 9b c cosh(x) +--R + +--R 2 2 +--R (- 15c + 15b )x +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 3 3 2 2 +--R 2b c sinh(x) + (2c + 4b c)cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 2 3 +--R ((4b c + 2b )cosh(x) - 22b c + 22b )sinh(x) + 2b c cosh(x) +--R + +--R 3 2 +--R (- 22c + 22b c)cosh(x) +--R / +--R 6 +--R Type: Expression Integer +--E 187 + +--S 188 of 518 +a0937:= integrate(t0937,x) +--R +--R +--R (186) +--R 2 2 5 2 2 4 +--R (9c + 18b c + 9b )sinh(x) + (45c + 90b c + 45b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R ((90c + 180b c + 90b )cosh(x) + (- 60c + 60b )x)sinh(x) +--R + +--R 2 2 3 2 2 2 +--R ((90c + 180b c + 90b )cosh(x) + (- 180c + 180b )x cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (45c + 90b c + 45b )cosh(x) + (- 180c + 180b )x cosh(x) - 9c +--R + +--R 2 +--R 18b c - 9b +--R * +--R sinh(x) +--R + +--R 2 2 5 2 2 3 +--R (9c + 18b c + 9b )cosh(x) + (- 60c + 60b )x cosh(x) +--R + +--R 2 2 +--R (- 9c + 18b c - 9b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 6 +--R (c + 3b c + 3b c + b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (6c + 18b c + 18b c + 6b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((15c + 45b c + 45b c + 15b )cosh(x) - 45c - 45b c + 45b c + 45b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (20c + 60b c + 60b c + 20b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 180c - 180b c + 180b c + 180b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (15c + 45b c + 45b c + 15b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 270c - 270b c + 270b c + 270b )cosh(x) - 45c + 45b c + 45b c +--R + +--R 3 +--R - 45b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6c + 18b c + 18b c + 6b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 180c - 180b c + 180b c + 180b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 90c + 90b c + 90b c - 90b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (c + 3b c + 3b c + b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 45c - 45b c + 45b c + 45b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 45c + 45b c + 45b c - 45b )cosh(x) + c - 3b c + 3b c - b +--R / +--R 3 2 2 3 +--R 24sinh(x) + 72cosh(x)sinh(x) + 72cosh(x) sinh(x) + 24cosh(x) +--R Type: Union(Expression Integer,...) +--E 188 + +--S 189 of 518 +m0937:= a0937-r0937 +--R +--R +--R (187) +--R 2 2 5 2 2 4 +--R (9c - 18b c + 9b )sinh(x) + (9c - 18b c + 9b )cosh(x)sinh(x) +--R + +--R 2 2 2 3 +--R (- 18c + 36b c - 18b )cosh(x) sinh(x) +--R + +--R 2 2 3 2 +--R (- 18c + 36b c - 18b )cosh(x) sinh(x) +--R + +--R 2 2 4 2 2 +--R ((9c - 18b c + 9b )cosh(x) - 9c + 18b c - 9b )sinh(x) +--R + +--R 2 2 5 2 2 +--R (9c - 18b c + 9b )cosh(x) + (- 9c + 18b c - 9b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 6 +--R (c - 5b c + 3b c + b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 2c - 6b c + 2b c + 6b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((- 9c + 5b c - 3b c + 7b )cosh(x) - 45c + 43b c + 45b c - 43b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 4c + 4b c + 4b c - 4b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 92c + 84b c + 92b c - 84b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (7c - 3b c + 5b c - 9b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 6c - 6b c + 6b c + 6b )cosh(x) - 45c + 45b c + 45b c - 45b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (6c + 2b c - 6b c - 2b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (84c - 92b c - 84b c + 92b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 90c + 90b c + 90b c - 90b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 3 2 2 3 4 +--R (c + 3b c - 5b c + b )cosh(x) + (43c - 45b c - 43b c + 45b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 45c + 45b c + 45b c - 45b )cosh(x) + c - 3b c + 3b c - b +--R / +--R 3 2 2 3 +--R 24sinh(x) + 72cosh(x)sinh(x) + 72cosh(x) sinh(x) + 24cosh(x) +--R Type: Expression Integer +--E 189 + +--S 190 of 518 +d0937:= D(m0937,x) +--R +--R +--R (188) +--R 2 2 5 +--R (- 18c + 36b c - 18b )sinh(x) +--R + +--R 2 2 4 +--R (- 18c + 36b c - 18b )cosh(x)sinh(x) +--R + +--R 2 2 2 3 +--R (36c - 72b c + 36b )cosh(x) sinh(x) +--R + +--R 2 2 3 2 +--R (36c - 72b c + 36b )cosh(x) sinh(x) +--R + +--R 2 2 4 2 2 +--R ((- 18c + 36b c - 18b )cosh(x) + 18c - 36b c + 18b )sinh(x) +--R + +--R 2 2 5 2 2 +--R (- 18c + 36b c - 18b )cosh(x) + (18c - 36b c + 18b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 6 +--R (- 5c + 9b c - 7b c + 3b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 6c - 2b c + 6b c + 2b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((5c - 33b c + 31b c - 3b )cosh(x) + 43c - 45b c - 43b c + 45b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (4c - 4b c - 4b c + 4b )cosh(x) +--R + +--R 3 2 2 3 +--R (84c - 92b c - 84b c + 92b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 3c + 31b c - 33b c + 5b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 6c - 6b c + 6b c + 6b )cosh(x) + 45c - 45b c - 45b c + 45b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (2c + 6b c - 2b c - 6b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 92c + 84b c + 92b c - 84b )cosh(x) +--R + +--R 3 2 2 3 +--R (90c - 90b c - 90b c + 90b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (3c - 7b c + 9b c - 5b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 45c + 43b c + 45b c - 43b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (45c - 45b c - 45b c + 45b )cosh(x) - 3c + 9b c - 9b c + 3b +--R / +--R 3 2 2 3 +--R 24sinh(x) + 72cosh(x)sinh(x) + 72cosh(x) sinh(x) + 24cosh(x) +--R Type: Expression Integer +--E 190 + +--S 191 of 518 +t0938:= 1/((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x)) +--R +--R +--R 1 +--R (189) ------------------------------------ +--R +---------+ +--R | 2 2 +--R \|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 191 + +--S 192 of 518 +r0938:= -2/(c+(b-(b^2-c^2)^(1/2))*tanh(1/2*x)) +--R +--R +--R 2 +--R (190) ----------------------------------- +--R +---------+ +--R x | 2 2 x +--R tanh(-)\|- c + b - b tanh(-) - c +--R 2 2 +--R Type: Expression Integer +--E 192 + +--S 193 of 518 +a0938:= integrate(t0938,x) +--R +--R +--R 2 +--R (191) - ---------------------------------------------- +--R +---------+ +--R | 2 2 +--R \|- c + b + (c + b)sinh(x) + (c + b)cosh(x) +--R Type: Union(Expression Integer,...) +--E 193 + +--S 194 of 518 +m0938:= a0938-r0938 +--R +--R +--R (192) +--R +---------+ +--R x | 2 2 x +--R (- 2tanh(-) - 2)\|- c + b + 2b tanh(-) + (- 2c - 2b)sinh(x) +--R 2 2 +--R + +--R (- 2c - 2b)cosh(x) + 2c +--R / +--R +---------+ +--R x | 2 2 +--R (((c + b)sinh(x) + (c + b)cosh(x) - b)tanh(-) - c)\|- c + b +--R 2 +--R + +--R 2 2 2 2 x +--R ((- b c - b )sinh(x) + (- b c - b )cosh(x) - c + b )tanh(-) +--R 2 +--R + +--R 2 2 +--R (- c - b c)sinh(x) + (- c - b c)cosh(x) +--R Type: Expression Integer +--E 194 + +--S 195 of 518 +d0938:= D(m0938,x) +--R +--R +--R (193) +--R 2 +--R (c + b)sinh(x) + ((2c + 2b)cosh(x) + 2b)sinh(x) +--R + +--R 2 +--R (c + b)cosh(x) + 2b cosh(x) - c + b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R x 2 +--R (4c sinh(x) + 4c cosh(x))tanh(-) + (- c - b)sinh(x) +--R 2 +--R + +--R 2 +--R ((- 2c - 2b)cosh(x) + 2b)sinh(x) + (- c - b)cosh(x) + 2b cosh(x) + c +--R + +--R - b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 2 2 2 +--R (- b c - b )sinh(x) + ((- 2b c - 2b )cosh(x) - 2b )sinh(x) +--R + +--R 2 2 2 2 +--R (- b c - b )cosh(x) - 2b cosh(x) + b c - b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R x 2 2 +--R (- 4b c sinh(x) - 4b c cosh(x))tanh(-) + (b c + b )sinh(x) +--R 2 +--R + +--R 2 2 2 2 2 +--R ((2b c + 2b )cosh(x) - 2b )sinh(x) + (b c + b )cosh(x) - 2b cosh(x) +--R + +--R 2 +--R - b c + b +--R / +--R 2 2 2 2 2 +--R (2b c + 2b )sinh(x) + ((4b c + 4b )cosh(x) + 2c - 4b )sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b c + 2b )cosh(x) + (2c - 4b )cosh(x) - 2b c + 2b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 +--R (2c + 2b c)sinh(x) + ((4c + 4b c)cosh(x) - 4b c)sinh(x) +--R + +--R 2 2 2 +--R (2c + 2b c)cosh(x) - 4b c cosh(x) - 2c + 2b c +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 2 +--R - 2c sinh(x) - 2c cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 2 +--R (c + b c - 2b c - 2b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R ((2c + 2b c - 4b c - 4b )cosh(x) - 4b c + 4b )sinh(x) +--R + +--R 3 2 2 3 2 2 3 3 2 +--R (c + b c - 2b c - 2b )cosh(x) + (- 4b c + 4b )cosh(x) - c + b c +--R + +--R 2 3 +--R 2b c - 2b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 +--R (- 2b c - 2b c)sinh(x) +--R + +--R 2 2 3 2 +--R ((- 4b c - 4b c)cosh(x) - 4c + 4b c)sinh(x) +--R + +--R 2 2 2 3 2 2 2 +--R (- 2b c - 2b c)cosh(x) + (- 4c + 4b c)cosh(x) + 2b c - 2b c +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 2 +--R (- c - b c )sinh(x) + (- 2c - 2b c )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 +--R (- c - b c )cosh(x) + c - b c +--R Type: Expression Integer +--E 195 + +--S 196 of 518 +t0939:= 1/((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^2 +--R +--R +--R (194) +--R 1 +--R / +--R +---------+ +--R | 2 2 2 2 +--R (2c sinh(x) + 2b cosh(x))\|- c + b + c sinh(x) + 2b c cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R b cosh(x) - c + b +--R Type: Expression Integer +--E 196 + +--S 197 of 518 +r0939:= 1/3*(c*cosh(x)+b*sinh(x))/(b^2-c^2)^(1/2)/((b^2-c^2)^(1/2)+_ + b*cosh(x)+c*sinh(x))^2-2/3/(b^2-c^2)^(1/2)/_ + (c+(b-(b^2-c^2)^(1/2))*tanh(1/2*x)) +--R +--R +--R (195) +--R 2 x 2 2 +--R (b sinh(x) + b c cosh(x))tanh(-) - 2c sinh(x) +--R 2 +--R + +--R 2 2 2 2 2 +--R (- 4b c cosh(x) + b c)sinh(x) - 2b cosh(x) + c cosh(x) + 2c - 2b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 3 3 2 x 3 2 +--R ((b c - b )sinh(x) + (c - b c)cosh(x))tanh(-) + (4c - 4b c)sinh(x) +--R 2 +--R + +--R 2 3 +--R (4b c - 4b )cosh(x) +--R / +--R 4 2 2 2 +--R (3c - 3b c )sinh(x) +--R + +--R 3 3 3 3 +--R ((6b c - 6b c)cosh(x) - 6b c + 6b c)sinh(x) +--R + +--R 2 2 4 2 2 2 4 4 2 2 4 +--R (3b c - 3b )cosh(x) + (- 6b c + 6b )cosh(x) - 3c + 6b c - 3b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 2 2 3 3 +--R (- 6c + 6b c )sinh(x) + (- 6b c + 6b c)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 4 3 2 2 +--R (- 3b c + 3b c )sinh(x) +--R + +--R 2 3 4 5 2 3 4 +--R ((- 6b c + 6b c)cosh(x) - 6c + 12b c - 6b c)sinh(x) +--R + +--R 3 2 5 2 4 3 2 5 4 +--R (- 3b c + 3b )cosh(x) + (- 6b c + 12b c - 6b )cosh(x) + 3b c +--R + +--R 3 2 5 +--R - 6b c + 3b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 2 3 2 4 3 2 +--R (- 3c + 3b c )sinh(x) + (- 6b c + 6b c )cosh(x)sinh(x) +--R + +--R 2 3 4 2 5 2 3 4 +--R (- 3b c + 3b c)cosh(x) + 3c - 6b c + 3b c +--R Type: Expression Integer +--E 197 + +--S 198 of 518 +a0939:= integrate(t0939,x) +--R +--R +--R (196) +--R +---------+ +--R | 2 2 +--R - 2\|- c + b + (- 6c - 6b)sinh(x) + (- 6c - 6b)cosh(x) +--R / +--R 2 2 2 2 2 +--R (9c + 18b c + 9b )sinh(x) + (18c + 36b c + 18b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (9c + 18b c + 9b )cosh(x) - 3c + 3b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 3 +--R (3c + 9b c + 9b c + 3b )sinh(x) +--R + +--R 3 2 2 3 2 +--R (9c + 27b c + 27b c + 9b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((9c + 27b c + 27b c + 9b )cosh(x) - 9c - 9b c + 9b c + 9b )sinh(x) +--R + +--R 3 2 2 3 3 3 2 2 3 +--R (3c + 9b c + 9b c + 3b )cosh(x) + (- 9c - 9b c + 9b c + 9b )cosh(x) +--R Type: Union(Expression Integer,...) +--E 198 + +--S 199 of 518 +m0939:= a0939-r0939 +--R +--R +--R (197) +--R 2 2 3 4 4 +--R (- b c - 2b c - b )sinh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 +--R (- b c - 5b c - 7b c - 3b )cosh(x) - 6c - 3b c + 3b c +--R + +--R 3 4 +--R 3b c + 3b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 2 +--R (- 3b c - 9b c - 9b c - 3b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (- 9c - 21b c + 3b c + 21b c + 6b )cosh(x) + 14b c + b c +--R + +--R 3 4 +--R - 12b c - 3b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 3b c - 7b c - 5b c - b )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 6c - 21b c - 3b c + 21b c + 9b )cosh(x) +--R + +--R 3 2 2 3 4 4 3 +--R (15b c + 19b c - 19b c - 15b )cosh(x) + 10c - 3b c +--R + +--R 2 2 3 4 +--R - 17b c + 3b c + 7b +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- b c - 2b c - b c)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 3c - 3b c - 3b c + 3b c + 6b )cosh(x) +--R + +--R 3 2 2 3 4 2 +--R (3b c + 12b c - b c - 14b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (7c + 3b c - 17b c - 3b c + 10b )cosh(x) - 2b c + 2b c +--R + +--R 3 4 +--R 2b c - 2b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 3 2 2 5 +--R (2c + 4b c + 2b c )sinh(x) +--R + +--R 4 3 2 2 3 3 2 2 3 4 +--R ((6c + 16b c + 14b c + 4b c)cosh(x) - b c - 2b c - b c)sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (6c + 24b c + 32b c + 16b c + 2b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (- c - 5b c - 7b c - 3b c)cosh(x) - 20c - 16b c + 18b c +--R + +--R 3 4 +--R 16b c + 2b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (2c + 16b c + 32b c + 24b c + 6b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 3c - 9b c - 9b c - 3b c)cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 +--R (- 36c - 60b c + 18b c + 60b c + 18b )cosh(x) + 14c + b c +--R + +--R 2 2 3 +--R - 12b c - 3b c +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 4 4 +--R (4b c + 14b c + 16b c + 6b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 3c - 7b c - 5b c - b c)cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 18c - 60b c - 18b c + 60b c + 36b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (15c + 19b c - 19b c - 15b c)cosh(x) + 10c - 4b c - 16b c +--R + +--R 3 4 +--R 4b c + 6b +--R * +--R sinh(x) +--R + +--R 2 2 3 4 5 4 3 2 2 4 +--R (2b c + 4b c + 2b )cosh(x) + (- c - 2b c - b c )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 2c - 16b c - 18b c + 16b c + 20b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (3c + 12b c - b c - 14b c)cosh(x) +--R + +--R 4 3 2 2 3 4 4 3 2 2 +--R (6c + 4b c - 16b c - 4b c + 10b )cosh(x) - 2c + 2b c + 2b c +--R + +--R 3 +--R - 2b c +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 4 2 3 4 5 4 +--R (- b c - 2b c + 2b c + b )sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (- c - 5b c - 6b c + 2b c + 7b c + 3b )cosh(x) + 6b c +--R + +--R 2 3 3 2 4 5 +--R 3b c - 3b c - 3b c - 3b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 3c - 9b c - 6b c + 6b c + 9b c + 3b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 4 +--R (9b c + 21b c - 3b c - 21b c - 6b )cosh(x) + 14c + b c +--R + +--R 2 3 3 2 4 5 +--R - 26b c - 4b c + 12b c + 3b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (- 3c - 7b c - 2b c + 6b c + 5b c + b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (6b c + 21b c + 3b c - 21b c - 9b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (15c + 19b c - 34b c - 34b c + 19b c + 15b )cosh(x) - 10b c +--R + +--R 2 3 3 2 4 5 +--R 3b c + 17b c - 3b c - 7b +--R * +--R sinh(x) +--R + +--R 5 4 3 2 4 4 +--R (- c - 2b c + 2b c + b c)cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (3b c + 3b c + 3b c - 3b c - 6b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (3c + 12b c - 4b c - 26b c + b c + 14b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 5 4 2 3 +--R (- 7b c - 3b c + 17b c + 3b c - 10b )cosh(x) - 2c + 2b c + 4b c +--R + +--R 3 2 4 5 +--R - 4b c - 2b c + 2b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 10c - 14b c + 6b c + 14b c + 4b c)sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 4 +--R (- 24c - 52b c - 8b c + 48b c + 32b c + 4b )cosh(x) + 6c + 3b c +--R + +--R 2 3 3 2 4 +--R - 3b c - 3b c - 3b c +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 18c - 66b c - 48b c + 48b c + 66b c + 18b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 2 3 +--R (9c + 21b c - 3b c - 21b c - 6b c)cosh(x) + 20c + 4b c - 38b c +--R + +--R 3 2 4 5 +--R - 10b c + 18b c + 6b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (- 4c - 32b c - 48b c + 8b c + 52b c + 24b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (6c + 21b c + 3b c - 21b c - 9b c)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (24c + 28b c - 52b c - 52b c + 28b c + 24b )cosh(x) - 10c +--R + +--R 4 2 3 3 2 4 +--R 3b c + 17b c - 3b c - 7b c +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 4b c - 14b c - 6b c + 14b c + 10b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (3c + 3b c + 3b c - 3b c - 6b c)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (6c + 18b c - 10b c - 38b c + 4b c + 20b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 2 3 +--R (- 7c - 3b c + 17b c + 3b c - 10b c)cosh(x) - 2c + 2b c + 4b c +--R + +--R 3 2 4 5 +--R - 4b c - 2b c + 2b +--R / +--R 6 5 3 3 4 2 5 +--R (3c + 6b c - 6b c - 3b c )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (9c + 24b c + 12b c - 18b c - 21b c - 6b c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 15b c - 21b c + 9b c + 21b c + 6b c +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (9c + 36b c + 39b c - 12b c - 45b c - 24b c - 3b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 36b c - 78b c - 12b c + 72b c + 48b c + 6b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - 30c - 24b c + 57b c + 48b c - 24b c - 24b c - 3b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (3c + 24b c + 45b c + 12b c - 39b c - 36b c - 9b ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (- 27b c - 99b c - 72b c + 72b c + 99b c + 27b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 6 +--R (- 54c - 90b c + 81b c + 180b c - 90b c - 27b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 30b c + 6b c - 57b c - 15b c + 27b c + 9b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (6b c + 21b c + 18b c - 12b c - 24b c - 9b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (- 6b c - 48b c - 72b c + 12b c + 78b c + 36b )cosh(x) +--R + +--R 6 5 3 3 4 2 5 6 2 +--R (- 27c - 90b c + 180b c + 81b c - 90b c - 54b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (36b c + 42b c - 78b c - 78b c + 42b c + 36b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 15c - 6b c - 39b c + 12b c + 33b c - 6b c - 9b +--R * +--R sinh(x) +--R + +--R 2 4 3 3 5 6 5 +--R (3b c + 6b c - 6b c - 3b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 6b c - 21b c - 9b c + 21b c + 15b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 3c - 24b c - 24b c + 48b c + 57b c - 24b c - 30b ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (9b c + 27b c - 15b c - 57b c + 6b c + 30b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (9c + 6b c - 33b c - 12b c + 39b c + 6b c - 15b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 3b c + 3b c + 6b c - 6b c - 3b c + 3b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 15c - 21b c + 9b c + 21b c + 6b c )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (- 36c - 78b c - 12b c + 72b c + 48b c + 6b c)cosh(x)sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 27c - 99b c - 72b c + 72b c + 99b c + 27b c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 30c + 6b c - 57b c - 15b c + 27b c + 9b c +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (- 6c - 48b c - 72b c + 12b c + 78b c + 36b c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (36c + 42b c - 78b c - 78b c + 42b c + 36b c)cosh(x) +--R * +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 6b c - 21b c - 9b c + 21b c + 15b c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 6 +--R (9c + 27b c - 15b c - 57b c + 6b c + 30b c)cosh(x) - 3c +--R + +--R 5 2 4 3 3 4 2 5 +--R 3b c + 6b c - 6b c - 3b c + 3b c +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 6 2 5 4 3 5 2 5 +--R (- 3b c - 6b c + 6b c + 3b c )sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 9b c - 24b c - 12b c + 18b c + 21b c + 6b c)cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 15c - 21b c + 24b c + 42b c - 3b c - 21b c - 6b c +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (- 9b c - 36b c - 39b c + 12b c + 45b c + 24b c + 3b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 36c - 78b c + 24b c + 150b c + 60b c - 66b c - 48b c +--R + +--R 7 +--R - 6b +--R * +--R cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R 30b c + 24b c - 57b c - 48b c + 24b c + 24b c + 3b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (- 3b c - 24b c - 45b c - 12b c + 39b c + 36b c + 9b ) +--R * +--R 3 +--R cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 27c - 99b c - 45b c + 171b c + 171b c - 45b c - 99b c +--R + +--R 7 +--R - 27b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 2 5 3 4 4 3 6 7 7 +--R (54b c + 90b c - 81b c - 180b c + 90b c + 27b )cosh(x) + 30c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R 6b c - 87b c - 21b c + 84b c + 24b c - 27b c - 9b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 4 +--R (- 6b c - 21b c - 18b c + 12b c + 24b c + 9b )cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 6c - 48b c - 66b c + 60b c + 150b c + 24b c - 78b c +--R + +--R 7 +--R - 36b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 2 5 4 3 5 2 6 7 2 +--R (27b c + 90b c - 180b c - 81b c + 90b c + 54b )cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 36c + 42b c - 114b c - 120b c + 120b c + 114b c - 42b c +--R + +--R 7 +--R - 36b +--R * +--R cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 15b c + 6b c + 39b c - 12b c - 33b c + 6b c + 9b +--R * +--R sinh(x) +--R + +--R 3 4 4 3 6 7 5 +--R (- 3b c - 6b c + 6b c + 3b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 4 +--R (- 6b c - 21b c - 3b c + 42b c + 24b c - 21b c - 15b )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (3b c + 24b c + 24b c - 48b c - 57b c + 24b c + 30b )cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 +--R (9c + 27b c - 24b c - 84b c + 21b c + 87b c - 6b c - 30b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (- 9b c - 6b c + 33b c + 12b c - 39b c - 6b c + 15b )cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 +--R - 3c + 3b c + 9b c - 9b c - 9b c + 9b c + 3b c - 3b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 7 6 3 4 4 3 5 +--R (- 3c - 6b c + 6b c + 3b c )sinh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (- 9c - 24b c - 12b c + 18b c + 21b c + 6b c )cosh(x)sinh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 2 +--R (- 9c - 36b c - 39b c + 12b c + 45b c + 24b c + 3b c)cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 30c + 24b c - 57b c - 48b c + 24b c + 24b c + 3b c +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (- 3c - 24b c - 45b c - 12b c + 39b c + 36b c + 9b c)cosh(x) +--R + +--R 7 6 2 5 3 4 5 2 6 +--R (54c + 90b c - 81b c - 180b c + 90b c + 27b c)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 4 +--R (- 6b c - 21b c - 18b c + 12b c + 24b c + 9b c)cosh(x) +--R + +--R 7 6 3 4 4 3 5 2 6 2 7 +--R (27c + 90b c - 180b c - 81b c + 90b c + 54b c)cosh(x) - 15c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 6b c + 39b c - 12b c - 33b c + 6b c + 9b c +--R * +--R sinh(x) +--R + +--R 2 5 3 4 5 2 6 5 +--R (- 3b c - 6b c + 6b c + 3b c)cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (3c + 24b c + 24b c - 48b c - 57b c + 24b c + 30b c)cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R (- 9c - 6b c + 33b c + 12b c - 39b c - 6b c + 15b c)cosh(x) +--R Type: Expression Integer +--E 199 + +--S 200 of 518 +--d0939:= D(m0939,x) +--E 200 + +--S 201 of 518 +t0940:= 1/((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^3 +--R +--R +--R (198) +--R 1 +--R / +--R +---------+ +--R 2 2 2 2 2 2 | 2 2 +--R (3c sinh(x) + 6b c cosh(x)sinh(x) + 3b cosh(x) - c + b )\|- c + b +--R + +--R 3 3 2 2 2 2 3 2 +--R c sinh(x) + 3b c cosh(x)sinh(x) + (3b c cosh(x) - 3c + 3b c)sinh(x) +--R + +--R 3 3 2 3 +--R b cosh(x) + (- 3b c + 3b )cosh(x) +--R Type: Expression Integer +--E 201 + +--S 202 of 518 +r0940:= 1/5*(c*cosh(x)+b*sinh(x))/(b^2-c^2)^(1/2)/((b^2-c^2)^(1/2)+_ + b*cosh(x)+c*sinh(x))^3+2/15*(c*cosh(x)+_ + b*sinh(x))/(b^2-c^2)/((b^2-c^2)^(1/2)+b*cosh(x)+_ + c*sinh(x))^2-4/15/(b^2-c^2)/(c+(b-(b^2-c^2)^(1/2))*tanh(1/2*x)) +--R +--R +--R (199) +--R 2 3 4 +--R - 2b c sinh(x) +--R + +--R 4 3 2 4 3 2 3 +--R ((- 2b c - 6b c )cosh(x) - 9b c + 9b c )sinh(x) +--R + +--R 2 3 4 2 5 2 3 4 +--R (- 6b c - 6b c)cosh(x) + (- 9c - 9b c + 18b c)cosh(x) +--R + +--R 2 3 4 +--R 12b c - 12b c +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 4 3 2 5 2 +--R (- 6b c - 2b )cosh(x) + (- 18b c + 9b c + 9b )cosh(x) +--R + +--R 4 5 4 3 2 5 +--R (12b c - 12b )cosh(x) + 5b c - 10b c + 5b +--R * +--R sinh(x) +--R + +--R 4 4 2 3 4 3 +--R - 2b c cosh(x) + (- 9b c + 9b c)cosh(x) +--R + +--R 2 3 4 2 5 2 3 4 +--R (12b c - 12b c)cosh(x) + (5c - 10b c + 5b c)cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 5 4 4 4 +--R 4c sinh(x) + (20b c cosh(x) - 2b c )sinh(x) +--R + +--R 2 3 2 5 2 3 5 2 3 3 +--R (40b c cosh(x) + (- 2c - 6b c )cosh(x) - 40c + 40b c )sinh(x) +--R + +--R 3 2 3 4 3 2 2 +--R 40b c cosh(x) + (- 6b c - 6b c )cosh(x) +--R + +--R 4 3 2 4 3 2 +--R (- 120b c + 120b c )cosh(x) + 12b c - 12b c +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 2 3 4 3 +--R 20b c cosh(x) + (- 6b c - 2b c)cosh(x) +--R + +--R 2 3 4 2 5 4 5 +--R (- 120b c + 120b c)cosh(x) + (12c - 12b c)cosh(x) + 20c +--R + +--R 2 3 4 +--R - 40b c + 20b c +--R * +--R sinh(x) +--R + +--R 5 5 3 2 4 3 2 5 3 +--R 4b cosh(x) - 2b c cosh(x) + (- 40b c + 40b )cosh(x) +--R + +--R 4 3 2 2 4 3 2 5 +--R (12b c - 12b c )cosh(x) + (20b c - 40b c + 20b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 5 3 3 4 +--R (- 2b c + 2b c )sinh(x) +--R + +--R 6 2 4 4 2 2 4 4 2 3 +--R ((- 2c - 4b c + 6b c )cosh(x) + 9b c - 9b c )sinh(x) +--R + +--R 5 5 2 5 3 3 5 +--R (- 6b c + 6b c)cosh(x) + (9b c + 9b c - 18b c)cosh(x) +--R + +--R 5 3 3 5 +--R 12b c - 24b c + 12b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 2 4 4 2 6 2 +--R (- 6b c + 4b c + 2b )cosh(x) + (18b c - 9b c - 9b )cosh(x) +--R + +--R 6 2 4 4 2 6 2 4 4 2 6 +--R (12c - 12b c - 12b c + 12b )cosh(x) - 5b c + 10b c - 5b +--R * +--R sinh(x) +--R + +--R 3 3 5 4 3 3 5 3 +--R (- 2b c + 2b c)cosh(x) + (9b c - 9b c)cosh(x) +--R + +--R 5 3 3 5 2 5 3 3 5 +--R (12b c - 24b c + 12b c)cosh(x) + (- 5b c + 10b c - 5b c)cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 6 2 4 4 +--R (- 20c + 20b c )sinh(x) +--R + +--R 5 3 3 5 3 3 3 +--R ((- 80b c + 80b c )cosh(x) + 9b c - 9b c )sinh(x) +--R + +--R 2 4 4 2 2 6 2 4 4 2 6 +--R (- 120b c + 120b c )cosh(x) + (9c + 9b c - 18b c )cosh(x) + 40c +--R + +--R 2 4 4 2 +--R - 80b c + 40b c +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 3 5 3 3 5 2 +--R (- 80b c + 80b c)cosh(x) + (18b c - 9b c - 9b c)cosh(x) +--R + +--R 5 3 3 5 5 3 3 5 +--R (80b c - 160b c + 80b c)cosh(x) - 5b c + 10b c - 5b c +--R * +--R sinh(x) +--R + +--R 4 2 6 4 2 4 4 2 3 +--R (- 20b c + 20b )cosh(x) + (9b c - 9b c )cosh(x) +--R + +--R 2 4 4 2 6 2 6 2 4 4 2 6 +--R (40b c - 80b c + 40b )cosh(x) + (- 5c + 10b c - 5b c )cosh(x) - 4c +--R + +--R 2 4 4 2 6 +--R 12b c - 12b c + 4b +--R / +--R 7 3 5 5 +--R (15b c - 15b c )sinh(x) +--R + +--R 2 6 4 4 8 2 6 4 4 4 +--R ((75b c - 75b c )cosh(x) + 75c - 150b c + 75b c )sinh(x) +--R + +--R 3 5 5 3 2 +--R (150b c - 150b c )cosh(x) +--R + +--R 7 3 5 5 3 7 3 5 +--R (300b c - 600b c + 300b c )cosh(x) - 150b c + 300b c +--R + +--R 5 3 +--R - 150b c +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 6 2 3 +--R (150b c - 150b c )cosh(x) +--R + +--R 2 6 4 4 6 2 2 +--R (450b c - 900b c + 450b c )cosh(x) +--R + +--R 2 6 4 4 6 2 8 2 6 +--R (- 450b c + 900b c - 450b c )cosh(x) - 150c + 450b c +--R + +--R 4 4 6 2 +--R - 450b c + 150b c +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 7 4 +--R (75b c - 75b c)cosh(x) +--R + +--R 3 5 5 3 7 3 +--R (300b c - 600b c + 300b c)cosh(x) +--R + +--R 3 5 5 3 7 2 +--R (- 450b c + 900b c - 450b c)cosh(x) +--R + +--R 7 3 5 5 3 7 7 +--R (- 300b c + 900b c - 900b c + 300b c)cosh(x) + 75b c +--R + +--R 3 5 5 3 7 +--R - 225b c + 225b c - 75b c +--R * +--R sinh(x) +--R + +--R 6 2 8 5 4 4 6 2 8 4 +--R (15b c - 15b )cosh(x) + (75b c - 150b c + 75b )cosh(x) +--R + +--R 4 4 6 2 8 3 +--R (- 150b c + 300b c - 150b )cosh(x) +--R + +--R 2 6 4 4 6 2 8 2 +--R (- 150b c + 450b c - 450b c + 150b )cosh(x) +--R + +--R 2 6 4 4 6 2 8 8 2 6 +--R (75b c - 225b c + 225b c - 75b )cosh(x) + 15c - 60b c +--R + +--R 4 4 6 2 8 +--R 90b c - 60b c + 15b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 8 2 6 5 7 3 5 4 +--R (15c - 15b c )sinh(x) + (75b c - 75b c )cosh(x)sinh(x) +--R + +--R 2 6 4 4 2 8 2 6 4 4 3 +--R ((150b c - 150b c )cosh(x) - 150c + 300b c - 150b c )sinh(x) +--R + +--R 3 5 5 3 3 +--R (150b c - 150b c )cosh(x) +--R + +--R 7 3 5 5 3 +--R (- 450b c + 900b c - 450b c )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 6 2 4 +--R (75b c - 75b c )cosh(x) +--R + +--R 2 6 4 4 6 2 2 8 2 6 +--R (- 450b c + 900b c - 450b c )cosh(x) + 75c - 225b c +--R + +--R 4 4 6 2 +--R 225b c - 75b c +--R * +--R sinh(x) +--R + +--R 5 3 7 5 3 5 5 3 7 3 +--R (15b c - 15b c)cosh(x) + (- 150b c + 300b c - 150b c)cosh(x) +--R + +--R 7 3 5 5 3 7 +--R (75b c - 225b c + 225b c - 75b c)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 9 2 7 4 5 5 +--R (15c - 30b c + 15b c )sinh(x) +--R + +--R 8 3 6 5 4 8 3 6 5 4 +--R ((75b c - 150b c + 75b c )cosh(x) - 75b c + 150b c - 75b c ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 4 5 6 3 2 +--R (150b c - 300b c + 150b c )cosh(x) +--R + +--R 2 7 4 5 6 3 9 2 7 +--R (- 300b c + 600b c - 300b c )cosh(x) - 150c + 450b c +--R + +--R 4 5 6 3 +--R - 450b c + 150b c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 5 4 7 2 3 +--R (150b c - 300b c + 150b c )cosh(x) +--R + +--R 3 6 5 4 7 2 2 +--R (- 450b c + 900b c - 450b c )cosh(x) +--R + +--R 8 3 6 5 4 7 2 8 +--R (- 450b c + 1350b c - 1350b c + 450b c )cosh(x) + 150b c +--R + +--R 3 6 5 4 7 2 +--R - 450b c + 450b c - 150b c +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 6 3 8 4 +--R (75b c - 150b c + 75b c)cosh(x) +--R + +--R 4 5 6 3 8 3 +--R (- 300b c + 600b c - 300b c)cosh(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 450b c + 1350b c - 1350b c + 450b c)cosh(x) +--R + +--R 2 7 4 5 6 3 8 9 2 7 +--R (300b c - 900b c + 900b c - 300b c)cosh(x) + 75c - 300b c +--R + +--R 4 5 6 3 8 +--R 450b c - 300b c + 75b c +--R * +--R sinh(x) +--R + +--R 5 4 7 2 9 5 +--R (15b c - 30b c + 15b )cosh(x) +--R + +--R 5 4 7 2 9 4 +--R (- 75b c + 150b c - 75b )cosh(x) +--R + +--R 3 6 5 4 7 2 9 3 +--R (- 150b c + 450b c - 450b c + 150b )cosh(x) +--R + +--R 3 6 5 4 7 2 9 2 +--R (150b c - 450b c + 450b c - 150b )cosh(x) +--R + +--R 8 3 6 5 4 7 2 9 8 +--R (75b c - 300b c + 450b c - 300b c + 75b )cosh(x) - 15b c +--R + +--R 3 6 5 4 7 2 9 +--R 60b c - 90b c + 60b c - 15b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 9 2 7 4 5 4 +--R (- 75c + 150b c - 75b c )sinh(x) +--R + +--R 8 3 6 5 4 3 +--R (- 300b c + 600b c - 300b c )cosh(x)sinh(x) +--R + +--R 2 7 4 5 6 3 2 9 2 7 4 5 +--R (- 450b c + 900b c - 450b c )cosh(x) + 150c - 450b c + 450b c +--R + +--R 6 3 +--R - 150b c +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 5 4 7 2 3 +--R (- 300b c + 600b c - 300b c )cosh(x) +--R + +--R 8 3 6 5 4 7 2 +--R (300b c - 900b c + 900b c - 300b c )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 5 6 3 8 4 +--R (- 75b c + 150b c - 75b c)cosh(x) +--R + +--R 2 7 4 5 6 3 8 2 9 2 7 4 5 +--R (150b c - 450b c + 450b c - 150b c)cosh(x) - 15c + 60b c - 90b c +--R + +--R 6 3 8 +--R 60b c - 15b c +--R Type: Expression Integer +--E 202 + +--S 203 of 518 +a0940:= integrate(t0940,x) +--R +--R +--R (200) +--R +---------+ +--R | 2 2 2 +--R (- 20sinh(x) - 20cosh(x))\|- c + b + (- 40c - 40b)sinh(x) +--R + +--R 2 +--R (- 80c - 80b)cosh(x)sinh(x) + (- 40c - 40b)cosh(x) + 4c - 4b +--R / +--R 3 2 2 3 4 +--R (75c + 225b c + 225b c + 75b )sinh(x) +--R + +--R 3 2 2 3 3 +--R (300c + 900b c + 900b c + 300b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (450c + 1350b c + 1350b c + 450b )cosh(x) - 150c - 150b c +--R + +--R 2 3 +--R 150b c + 150b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (300c + 900b c + 900b c + 300b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 300c - 300b c + 300b c + 300b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (75c + 225b c + 225b c + 75b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 150c - 150b c + 150b c + 150b )cosh(x) + 15c - 15b c - 15b c +--R + +--R 3 +--R 15b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 4 3 2 2 3 4 5 +--R (15c + 60b c + 90b c + 60b c + 15b )sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (75c + 300b c + 450b c + 300b c + 75b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (150c + 600b c + 900b c + 600b c + 150b )cosh(x) - 150c +--R + +--R 3 3 4 +--R - 300b c + 300b c + 150b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (150c + 600b c + 900b c + 600b c + 150b )cosh(x) +--R + +--R 4 3 3 4 +--R (- 450c - 900b c + 900b c + 450b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (75c + 300b c + 450b c + 300b c + 75b )cosh(x) +--R + +--R 4 3 3 4 2 4 2 2 4 +--R (- 450c - 900b c + 900b c + 450b )cosh(x) + 75c - 150b c + 75b +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (15c + 60b c + 90b c + 60b c + 15b )cosh(x) +--R + +--R 4 3 3 4 3 +--R (- 150c - 300b c + 300b c + 150b )cosh(x) +--R + +--R 4 2 2 4 +--R (75c - 150b c + 75b )cosh(x) +--R Type: Union(Expression Integer,...) +--E 203 + +--S 204 of 518 +m0940:= a0940-r0940 +--R +--R +--R (201) +--R 2 6 3 5 4 4 5 3 9 +--R (2b c + 6b c + 6b c + 2b c )sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (2b c + 16b c + 42b c + 50b c + 28b c + 6b c )cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 19b c + 47b c + 18b c - 38b c - 37b c - 9b c +--R * +--R 8 +--R sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 10b c + 56b c + 138b c + 184b c + 134b c + 48b c +--R + +--R 7 +--R 6b c +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 19c + 132b c + 281b c + 166b c - 171b c - 280b c +--R + +--R 6 2 7 +--R - 129b c - 18b c +--R * +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R - 40b c - 77b c - 106b c - 4b c + 134b c + 81b c + 12b c +--R * +--R 7 +--R sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 20b c + 110b c + 276b c + 398b c + 340b c + 162b c +--R + +--R 7 8 +--R 36b c + 2b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 85c + 413b c + 804b c + 595b c - 304b c - 861b c +--R + +--R 6 2 7 8 +--R - 576b c - 147b c - 9b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 157b c - 646b c - 686b c - 2b c + 657b c + 636b c +--R + +--R 7 8 +--R 186b c + 12b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 220c - 155b c + 195b c + 255b c + 245b c - 25b c +--R + +--R 6 2 7 8 +--R - 215b c - 75b c - 5b +--R * +--R 6 +--R sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 20b c + 130b c + 360b c + 562b c + 536b c + 306b c +--R + +--R 7 8 +--R 92b c + 10b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 150c + 730b c + 1439b c + 1212b c - 247b c +--R + +--R 5 3 6 2 7 8 +--R - 1478b c - 1287b c - 464b c - 55b +--R * +--R 3 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 340b c - 1612b c - 2256b c - 389b c + 1774b c +--R + +--R 6 2 7 8 +--R 1896b c + 822b c + 105b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 595c - 1680b c + 70b c + 2660b c + 1640b c +--R + +--R 5 3 6 2 7 8 +--R - 360b c - 1030b c - 620b c - 85b +--R * +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 504b c + 137b c - 736b c - 355b c + 70b c + 185b c +--R + +--R 7 8 +--R 170b c + 25b +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 10b c + 92b c + 306b c + 536b c + 562b c + 360b c +--R + +--R 7 8 +--R 130b c + 20b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 5 3 +--R 130c + 765b c + 1700b c + 1625b c - 1625b c +--R + +--R 6 2 7 8 +--R - 1700b c - 765b c - 130b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 450b c - 2080b c - 3745b c - 1650b c + 2510b c +--R + +--R 6 2 7 8 +--R 3410b c + 1685b c + 320b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 775c - 3525b c - 2405b c + 5385b c + 6655b c +--R + +--R 5 3 6 2 7 8 +--R - 95b c - 3095b c - 1765b c - 380b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 1145b c + 2330b c - 1715b c - 4110b c - 355b c +--R + +--R 6 2 7 8 +--R 1600b c + 885b c + 220b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 620c - 23b c - 1599b c - 160b c + 1324b c + 353b c +--R + +--R 6 2 7 8 +--R - 295b c - 170b c - 50b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 2b c + 36b c + 162b c + 340b c + 398b c + 276b c +--R + +--R 7 8 +--R 110b c + 20b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 55c + 464b c + 1287b c + 1478b c + 247b c - 1212b c +--R + +--R 6 2 7 8 +--R - 1439b c - 730b c - 150b +--R * +--R 5 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 320b c - 1685b c - 3410b c - 2510b c + 1650b c +--R + +--R 6 2 7 8 +--R 3745b c + 2080b c + 450b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 700c - 3220b c - 4560b c + 3220b c + 10520b c +--R + +--R 5 3 6 2 7 8 +--R 3220b c - 4560b c - 3220b c - 700b +--R * +--R 3 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 1050b c + 4280b c + 950b c - 8220b c - 4750b c +--R + +--R 6 2 7 8 +--R 3260b c + 2830b c + 600b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 1217c + 1716b c - 3839b c - 4618b c + 3613b c +--R + +--R 5 3 6 2 7 8 +--R 4232b c - 721b c - 1330b c - 270b +--R * +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 440b c + 161b c + 1078b c - 210b c - 898b c - b c +--R + +--R 7 8 +--R 260b c + 50b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 6b c + 48b c + 134b c + 184b c + 138b c + 56b c +--R + +--R 8 +--R 10b +--R * +--R 7 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 9c + 147b c + 576b c + 861b c + 304b c - 595b c +--R + +--R 6 2 7 8 +--R - 804b c - 413b c - 85b +--R * +--R 6 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 105b c - 822b c - 1896b c - 1774b c + 389b c +--R + +--R 6 2 7 8 +--R 2256b c + 1612b c + 340b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 380c - 1765b c - 3095b c - 95b c + 6655b c +--R + +--R 5 3 6 2 7 8 +--R 5385b c - 2405b c - 3525b c - 775b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 600b c + 2830b c + 3260b c - 4750b c - 8220b c +--R + +--R 6 2 7 8 +--R 950b c + 4280b c + 1050b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 5 3 +--R 835c + 2791b c - 1562b c - 8589b c + 8589b c +--R + +--R 6 2 7 8 +--R 1562b c - 2791b c - 835b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 719b c - 602b c + 2492b c + 1378b c - 2641b c +--R + +--R 6 2 7 8 +--R - 1136b c + 868b c + 360b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 180c + 143b c + 549b c - 373b c - 623b c + 317b c +--R + +--R 6 2 7 8 +--R 319b c - 87b c - 65b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 8 +--R (6b c + 28b c + 50b c + 42b c + 16b c + 2b )cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 18b c + 129b c + 280b c + 171b c - 166b c - 281b c +--R + +--R 7 8 +--R - 132b c - 19b +--R * +--R 7 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 12b c - 186b c - 636b c - 657b c + 2b c + 686b c +--R + +--R 7 8 +--R 646b c + 157b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 85c - 620b c - 1030b c - 360b c + 1640b c +--R + +--R 5 3 6 2 7 8 +--R 2660b c + 70b c - 1680b c - 595b +--R * +--R 5 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 220b c + 885b c + 1600b c - 355b c - 4110b c +--R + +--R 6 2 7 8 +--R - 1715b c + 2330b c + 1145b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 270c + 1330b c + 721b c - 4232b c - 3613b c +--R + +--R 5 3 6 2 7 8 +--R 4618b c + 3839b c - 1716b c - 1217b +--R * +--R 3 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 360b c - 868b c + 1136b c + 2641b c - 1378b c +--R + +--R 6 2 7 8 +--R - 2492b c + 602b c + 719b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 217c - 56b c + 980b c + 56b c - 1526b c + 56b c +--R + +--R 6 2 7 8 +--R 980b c - 56b c - 217b +--R * +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R 40b c - 55b c - 90b c + 135b c + 60b c - 105b c - 10b c +--R + +--R 8 +--R 25b +--R * +--R sinh(x) +--R + +--R 4 4 5 3 6 2 7 9 +--R (2b c + 6b c + 6b c + 2b c)cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (9b c + 37b c + 38b c - 18b c - 47b c - 19b c)cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (- 12b c - 81b c - 134b c + 4b c + 106b c + 77b c + 40b ) +--R * +--R 7 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 5c - 75b c - 215b c - 25b c + 245b c + 255b c +--R + +--R 6 2 7 8 +--R 195b c - 155b c - 220b +--R * +--R 6 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 25b c + 170b c + 185b c + 70b c - 355b c - 736b c +--R + +--R 7 8 +--R 137b c + 504b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 50c + 170b c + 295b c - 353b c - 1324b c + 160b c +--R + +--R 6 2 7 8 +--R 1599b c + 23b c - 620b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 50b c - 260b c + b c + 898b c + 210b c - 1078b c +--R + +--R 7 8 +--R - 161b c + 440b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 65c - 87b c + 319b c + 317b c - 623b c - 373b c +--R + +--R 6 2 7 8 +--R 549b c + 143b c - 180b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R 25b c - 10b c - 105b c + 60b c + 135b c - 90b c - 55b c +--R + +--R 8 +--R 40b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 5 3 6 2 7 8 +--R 4c - 8b c - 8b c + 24b c - 24b c + 8b c + 8b c - 4b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 8 7 2 6 3 5 10 +--R (- 4c - 12b c - 12b c - 4b c )sinh(x) +--R + +--R 8 7 2 6 3 5 4 4 7 +--R (- 20c - 80b c - 120b c - 80b c - 20b c )cosh(x) + 2b c +--R + +--R 2 6 3 5 4 4 +--R 6b c + 6b c + 2b c +--R * +--R 9 +--R sinh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 +--R (- 40c - 220b c - 460b c - 460b c - 220b c - 40b c )cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 8 +--R (2c + 16b c + 42b c + 50b c + 28b c + 6b c )cosh(x) + 180c +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 360b c + 40b c - 320b c - 220b c - 40b c +--R * +--R 8 +--R sinh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 40c - 320b c - 920b c - 1280b c - 920b c - 320b c +--R + +--R 6 2 +--R - 40b c +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R (10c + 56b c + 138b c + 184b c + 134b c + 48b c + 6b c ) +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 720c + 2240b c + 1640b c - 1280b c - 2240b c - 960b c +--R + +--R 6 2 +--R - 120b c +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 40c - 77b c - 106b c - 4b c + 134b c + 81b c + 12b c +--R * +--R 7 +--R sinh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 20c - 260b c - 1060b c - 2020b c - 2020b c - 1060b c +--R + +--R 6 2 7 +--R - 260b c - 20b c +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 20c + 110b c + 276b c + 398b c + 340b c + 162b c +--R + +--R 6 2 7 +--R 36b c + 2b c +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 1120c + 5320b c + 7400b c + 440b c - 6960b c - 5640b c +--R + +--R 6 2 7 +--R - 1560b c - 120b c +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 157c - 646b c - 686b c - 2b c + 657b c + 636b c +--R + +--R 6 2 7 +--R 186b c + 12b c +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 840c - 840b c + 1400b c + 1680b c - 300b c - 820b c +--R + +--R 6 2 7 +--R - 260b c - 20b c +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 4c - 112b c - 712b c - 1904b c - 2600b c - 1904b c +--R + +--R 6 2 7 8 +--R - 712b c - 112b c - 4b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 20c + 130b c + 360b c + 562b c + 536b c + 306b c +--R + +--R 6 2 7 +--R 92b c + 10b c +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 840c + 6240b c + 13960b c + 8800b c - 8080b c +--R + +--R 5 3 6 2 7 8 +--R - 13920b c - 6680b c - 1120b c - 40b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 340c - 1612b c - 2256b c - 389b c + 1774b c + 1896b c +--R + +--R 6 2 7 +--R 822b c + 105b c +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2520c - 5600b c + 1960b c + 10560b c + 3700b c +--R + +--R 5 3 6 2 7 8 +--R - 4400b c - 3120b c - 560b c - 20b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 504c + 137b c - 736b c - 355b c + 70b c + 185b c + 170b c +--R + +--R 7 +--R 25b c +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 20b c - 260b c - 1060b c - 2020b c - 2020b c +--R + +--R 6 2 7 8 +--R - 1060b c - 260b c - 20b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 10c + 92b c + 306b c + 536b c + 562b c + 360b c +--R + +--R 6 2 7 +--R 130b c + 20b c +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 5 3 +--R 300c + 3800b c + 13400b c + 16600b c - 16600b c +--R + +--R 6 2 7 8 +--R - 13400b c - 3800b c - 300b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 450c - 2080b c - 3745b c - 1650b c + 2510b c +--R + +--R 5 3 6 2 7 +--R 3410b c + 1685b c + 320b c +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2800c - 11200b c - 6000b c + 18800b c + 20000b c +--R + +--R 5 3 6 2 7 8 +--R - 3900b c - 10900b c - 3700b c - 300b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 1145c + 2330b c - 1715b c - 4110b c - 355b c + 1600b c +--R + +--R 6 2 7 +--R 885b c + 220b c +--R * +--R cosh(x) +--R + +--R 8 2 6 3 5 4 4 5 3 6 2 +--R 840c - 2240b c - 280b c + 1980b c + 520b c - 560b c +--R + +--R 7 8 +--R - 240b c - 20b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 40b c - 320b c - 920b c - 1280b c - 920b c - 320b c +--R + +--R 8 +--R - 40b +--R * +--R 7 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2c + 36b c + 162b c + 340b c + 398b c + 276b c +--R + +--R 6 2 7 +--R 110b c + 20b c +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 40c + 1120b c + 6680b c + 13920b c + 8080b c - 8800b c +--R + +--R 6 2 7 8 +--R - 13960b c - 6240b c - 840b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 320c - 1685b c - 3410b c - 2510b c + 1650b c +--R + +--R 5 3 6 2 7 +--R 3745b c + 2080b c + 450b c +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 1400c - 9600b c - 14600b c + 9600b c + 32000b c +--R + +--R 5 3 6 2 7 8 +--R 9600b c - 14600b c - 9600b c - 1400b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 1050c + 4280b c + 950b c - 8220b c - 4750b c + 3260b c +--R + +--R 6 2 7 +--R 2830b c + 600b c +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 1680c + 2240b c - 5320b c - 6080b c + 5160b c + 5600b c +--R + +--R 6 2 7 8 +--R - 1240b c - 1760b c - 280b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 440c + 161b c + 1078b c - 210b c - 898b c - b c + 260b c +--R + +--R 7 +--R 50b c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 8 +--R (- 40b c - 220b c - 460b c - 460b c - 220b c - 40b )cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R (6b c + 48b c + 134b c + 184b c + 138b c + 56b c + 10b c) +--R * +--R 7 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 120b c + 1560b c + 5640b c + 6960b c - 440b c - 7400b c +--R + +--R 7 8 +--R - 5320b c - 1120b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 105c - 822b c - 1896b c - 1774b c + 389b c + 2256b c +--R + +--R 6 2 7 +--R 1612b c + 340b c +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 300c - 3700b c - 10900b c - 3900b c + 20000b c +--R + +--R 5 3 6 2 7 8 +--R 18800b c - 6000b c - 11200b c - 2800b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 600c + 2830b c + 3260b c - 4750b c - 8220b c + 950b c +--R + +--R 6 2 7 +--R 4280b c + 1050b c +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 5 3 +--R 1120c + 3640b c - 2120b c - 11160b c + 11160b c +--R + +--R 6 2 7 8 +--R 2120b c - 3640b c - 1120b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 719c - 602b c + 2492b c + 1378b c - 2641b c - 1136b c +--R + +--R 6 2 7 +--R 868b c + 360b c +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 180c + 180b c + 500b c - 460b c - 500b c + 380b c +--R + +--R 6 2 7 8 +--R 220b c - 100b c - 40b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 7 8 9 +--R (- 20b c - 80b c - 120b c - 80b c - 20b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (6b c + 28b c + 50b c + 42b c + 16b c + 2b c)cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 120b c + 960b c + 2240b c + 1280b c - 1640b c - 2240b c +--R + +--R 8 +--R - 720b +--R * +--R 7 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 12c - 186b c - 636b c - 657b c + 2b c + 686b c +--R + +--R 6 2 7 +--R 646b c + 157b c +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 20c - 560b c - 3120b c - 4400b c + 3700b c + 10560b c +--R + +--R 6 2 7 8 +--R 1960b c - 5600b c - 2520b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 220c + 885b c + 1600b c - 355b c - 4110b c - 1715b c +--R + +--R 6 2 7 +--R 2330b c + 1145b c +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 280c + 1760b c + 1240b c - 5600b c - 5160b c + 6080b c +--R + +--R 6 2 7 8 +--R 5320b c - 2240b c - 1680b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 360c - 868b c + 1136b c + 2641b c - 1378b c - 2492b c +--R + +--R 6 2 7 +--R 602b c + 719b c +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 180c - 80b c + 880b c + 80b c - 1400b c + 80b c +--R + +--R 6 2 7 8 +--R 880b c - 80b c - 180b +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 40c - 55b c - 90b c + 135b c + 60b c - 105b c - 10b c +--R + +--R 7 +--R 25b c +--R * +--R sinh(x) +--R + +--R 5 3 6 2 7 8 10 +--R (- 4b c - 12b c - 12b c - 4b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 9 +--R (2b c + 6b c + 6b c + 2b c )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 8 +--R (40b c + 220b c + 320b c - 40b c - 360b c - 180b )cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R (- 12b c - 81b c - 134b c + 4b c + 106b c + 77b c + 40b c) +--R * +--R 7 +--R cosh(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 20b c - 260b c - 820b c - 300b c + 1680b c + 1400b c +--R + +--R 7 8 +--R - 840b c - 840b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 25c + 170b c + 185b c + 70b c - 355b c - 736b c + 137b c +--R + +--R 7 +--R 504b c +--R * +--R 5 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 20c + 240b c + 560b c - 520b c - 1980b c + 280b c +--R + +--R 6 2 8 +--R 2240b c - 840b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 50c - 260b c + b c + 898b c + 210b c - 1078b c - 161b c +--R + +--R 7 +--R 440b c +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 40c - 100b c + 220b c + 380b c - 500b c - 460b c +--R + +--R 6 2 7 8 +--R 500b c + 180b c - 180b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 25c - 10b c - 105b c + 60b c + 135b c - 90b c - 55b c +--R + +--R 7 +--R 40b c +--R * +--R cosh(x) +--R + +--R 8 7 2 6 3 5 5 3 6 2 7 8 +--R 4c - 8b c - 8b c + 24b c - 24b c + 8b c + 8b c - 4b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 9 +--R (2b c + 6b c + 4b c - 4b c - 6b c - 2b c )sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 2c + 16b c + 40b c + 34b c - 14b c - 44b c - 28b c +--R + +--R 7 2 +--R - 6b c +--R * +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 19b c - 47b c - 18b c + 38b c + 37b c + 9b c +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 10c + 56b c + 128b c + 128b c - 4b c - 136b c - 128b c +--R + +--R 7 2 8 +--R - 48b c - 6b c +--R * +--R 2 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 19b c - 132b c - 281b c - 166b c + 171b c + 280b c +--R + +--R 7 2 8 +--R 129b c + 18b c +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 40c - 77b c - 66b c + 73b c + 240b c + 85b c - 122b c +--R + +--R 7 2 8 +--R - 81b c - 12b c +--R * +--R 7 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 20c + 110b c + 256b c + 288b c + 64b c - 236b c +--R + +--R 6 3 7 2 8 9 +--R - 304b c - 160b c - 36b c - 2b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 85b c - 413b c - 804b c - 595b c + 304b c + 861b c +--R + +--R 7 2 8 9 +--R 576b c + 147b c + 9b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 157c - 646b c - 529b c + 644b c + 1343b c + 638b c +--R + +--R 6 3 7 2 8 9 +--R - 471b c - 624b c - 186b c - 12b +--R * +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 220b c + 155b c - 195b c - 255b c - 245b c + 25b c +--R + +--R 7 2 8 9 +--R 215b c + 75b c + 5b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 20c + 130b c + 340b c + 432b c + 176b c - 256b c +--R + +--R 6 3 7 2 8 9 +--R - 444b c - 296b c - 92b c - 10b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 150b c - 730b c - 1439b c - 1212b c + 247b c +--R + +--R 6 3 7 2 8 9 +--R 1478b c + 1287b c + 464b c + 55b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 340c - 1612b c - 1916b c + 1223b c + 4030b c +--R + +--R 5 4 6 3 7 2 8 9 +--R 2285b c - 952b c - 1791b c - 822b c - 105b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 595b c + 1680b c - 70b c - 2660b c - 1640b c + 360b c +--R + +--R 7 2 8 9 +--R 1030b c + 620b c + 85b +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 504c + 137b c - 1240b c - 492b c + 806b c + 540b c +--R + +--R 6 3 7 2 8 9 +--R 100b c - 160b c - 170b c - 25b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 10c + 92b c + 296b c + 444b c + 256b c - 176b c +--R + +--R 6 3 7 2 8 9 +--R - 432b c - 340b c - 130b c - 20b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 3 +--R - 130b c - 765b c - 1700b c - 1625b c + 1625b c +--R + +--R 7 2 8 9 +--R 1700b c + 765b c + 130b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 450c - 2080b c - 3295b c + 430b c + 6255b c + 5060b c +--R + +--R 6 3 7 2 8 9 +--R - 825b c - 3090b c - 1685b c - 320b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 775b c + 3525b c + 2405b c - 5385b c - 6655b c + 95b c +--R + +--R 7 2 8 9 +--R 3095b c + 1765b c + 380b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 1145c + 2330b c - 2860b c - 6440b c + 1360b c + 5710b c +--R + +--R 6 3 7 2 8 9 +--R 1240b c - 1380b c - 885b c - 220b +--R * +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 620b c + 23b c + 1599b c + 160b c - 1324b c - 353b c +--R + +--R 7 2 8 9 +--R 295b c + 170b c + 50b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 2c + 36b c + 160b c + 304b c + 236b c - 64b c - 288b c +--R + +--R 7 2 8 9 +--R - 256b c - 110b c - 20b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 55b c - 464b c - 1287b c - 1478b c - 247b c + 1212b c +--R + +--R 7 2 8 9 +--R 1439b c + 730b c + 150b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 320c - 1685b c - 3090b c - 825b c + 5060b c + 6255b c +--R + +--R 6 3 7 2 8 9 +--R 430b c - 3295b c - 2080b c - 450b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 700b c + 3220b c + 4560b c - 3220b c - 10520b c +--R + +--R 6 3 7 2 8 9 +--R - 3220b c + 4560b c + 3220b c + 700b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 1050c + 4280b c - 100b c - 12500b c - 5700b c +--R + +--R 5 4 6 3 7 2 8 9 +--R 11480b c + 7580b c - 2660b c - 2830b c - 600b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 1217b c - 1716b c + 3839b c + 4618b c - 3613b c +--R + +--R 6 3 7 2 8 9 +--R - 4232b c + 721b c + 1330b c + 270b +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 440c + 161b c + 1518b c - 371b c - 1976b c + 209b c +--R + +--R 6 3 7 2 8 9 +--R 1158b c + 51b c - 260b c - 50b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 6b c + 48b c + 128b c + 136b c + 4b c - 128b c +--R + +--R 7 2 8 9 +--R - 128b c - 56b c - 10b +--R * +--R 7 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 9b c - 147b c - 576b c - 861b c - 304b c + 595b c +--R + +--R 7 2 8 9 +--R 804b c + 413b c + 85b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 105c - 822b c - 1791b c - 952b c + 2285b c + 4030b c +--R + +--R 6 3 7 2 8 9 +--R 1223b c - 1916b c - 1612b c - 340b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 380b c + 1765b c + 3095b c + 95b c - 6655b c - 5385b c +--R + +--R 7 2 8 9 +--R 2405b c + 3525b c + 775b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 600c + 2830b c + 2660b c - 7580b c - 11480b c + 5700b c +--R + +--R 6 3 7 2 8 9 +--R 12500b c + 100b c - 4280b c - 1050b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 3 +--R - 835b c - 2791b c + 1562b c + 8589b c - 8589b c +--R + +--R 7 2 8 9 +--R - 1562b c + 2791b c + 835b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 719c - 602b c + 3211b c + 1980b c - 5133b c - 2514b c +--R + +--R 6 3 7 2 8 9 +--R 3509b c + 1496b c - 868b c - 360b +--R * +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 180b c - 143b c - 549b c + 373b c + 623b c - 317b c +--R + +--R 7 2 8 9 +--R - 319b c + 87b c + 65b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 6b c + 28b c + 44b c + 14b c - 34b c - 40b c - 16b c +--R + +--R 9 +--R - 2b +--R * +--R 8 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 18b c - 129b c - 280b c - 171b c + 166b c + 281b c +--R + +--R 8 9 +--R 132b c + 19b +--R * +--R 7 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 12c - 186b c - 624b c - 471b c + 638b c + 1343b c +--R + +--R 6 3 7 2 8 9 +--R 644b c - 529b c - 646b c - 157b +--R * +--R 6 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 85b c + 620b c + 1030b c + 360b c - 1640b c - 2660b c +--R + +--R 7 2 8 9 +--R - 70b c + 1680b c + 595b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 220c + 885b c + 1380b c - 1240b c - 5710b c - 1360b c +--R + +--R 6 3 7 2 8 9 +--R 6440b c + 2860b c - 2330b c - 1145b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 270b c - 1330b c - 721b c + 4232b c + 3613b c +--R + +--R 6 3 7 2 8 9 +--R - 4618b c - 3839b c + 1716b c + 1217b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 360c - 868b c + 1496b c + 3509b c - 2514b c - 5133b c +--R + +--R 6 3 7 2 8 9 +--R 1980b c + 3211b c - 602b c - 719b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 217b c + 56b c - 980b c - 56b c + 1526b c - 56b c +--R + +--R 7 2 8 9 +--R - 980b c + 56b c + 217b +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 40c - 55b c - 130b c + 190b c + 150b c - 240b c - 70b c +--R + +--R 7 2 8 9 +--R 130b c + 10b c - 25b +--R * +--R sinh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (2b c + 6b c + 4b c - 4b c - 6b c - 2b c)cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 8 +--R (- 9b c - 37b c - 38b c + 18b c + 47b c + 19b c)cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 12b c - 81b c - 122b c + 85b c + 240b c + 73b c - 66b c +--R + +--R 8 9 +--R - 77b c - 40b +--R * +--R 7 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 5b c + 75b c + 215b c + 25b c - 245b c - 255b c - 195b c +--R + +--R 8 9 +--R 155b c + 220b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 25c + 170b c + 160b c - 100b c - 540b c - 806b c + 492b c +--R + +--R 7 2 8 9 +--R 1240b c - 137b c - 504b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 50b c - 170b c - 295b c + 353b c + 1324b c - 160b c +--R + +--R 7 2 8 9 +--R - 1599b c - 23b c + 620b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 50c - 260b c + 51b c + 1158b c + 209b c - 1976b c +--R + +--R 6 3 7 2 8 9 +--R - 371b c + 1518b c + 161b c - 440b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 65b c + 87b c - 319b c - 317b c + 623b c + 373b c - 549b c +--R + +--R 8 9 +--R - 143b c + 180b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 25c - 10b c - 130b c + 70b c + 240b c - 150b c - 190b c +--R + +--R 7 2 8 9 +--R 130b c + 55b c - 40b +--R * +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 3 7 2 8 9 +--R - 4b c + 8b c + 8b c - 24b c + 24b c - 8b c - 8b c + 4b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 9 8 2 7 3 6 4 5 5 4 9 +--R (40c + 100b c + 40b c - 80b c - 80b c - 20b c )sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R (180c + 640b c + 640b c - 200b c - 740b c - 440b c - 80b c ) +--R * +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 19b c - 47b c - 18b c + 38b c + 37b c + 9b c +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 320c + 1640b c + 2720b c + 920b c - 2080b c - 2440b c +--R + +--R 6 3 7 2 +--R - 960b c - 120b c +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 19c - 132b c - 281b c - 166b c + 171b c + 280b c +--R + +--R 6 3 7 2 +--R 129b c + 18b c +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 480c - 720b c + 640b c + 1400b c + 160b c - 640b c - 320b c +--R + +--R 7 2 +--R - 40b c +--R * +--R 7 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 280c + 2160b c + 5400b c + 4720b c - 1640b c - 5840b c +--R + +--R 6 3 7 2 8 +--R - 3960b c - 1040b c - 80b c +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 85c - 413b c - 804b c - 595b c + 304b c + 861b c +--R + +--R 6 3 7 2 8 +--R 576b c + 147b c + 9b c +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 1680c - 4480b c - 280b c + 7920b c + 5520b c - 2400b c +--R + +--R 6 3 7 2 8 +--R - 3480b c - 1040b c - 80b c +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 220c + 155b c - 195b c - 255b c - 245b c + 25b c + 215b c +--R + +--R 7 2 8 +--R 75b c + 5b c +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 120c + 1540b c + 5800b c + 8560b c + 2600b c - 6640b c +--R + +--R 6 3 7 2 8 9 +--R - 7960b c - 3440b c - 560b c - 20b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 150c - 730b c - 1439b c - 1212b c + 247b c + 1478b c +--R + +--R 6 3 7 2 8 +--R 1287b c + 464b c + 55b c +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 2240c - 9800b c - 8560b c + 13080b c + 22720b c + 3200b c +--R + +--R 6 3 7 2 8 9 +--R - 10800b c - 6440b c - 1120b c - 40b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 595c + 1680b c - 70b c - 2660b c - 1640b c + 360b c +--R + +--R 6 3 7 2 8 +--R 1030b c + 620b c + 85b c +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 1008c + 504b c - 2800b c - 1624b c + 2472b c + 1724b c +--R + +--R 6 3 7 2 8 9 +--R - 568b c - 600b c - 112b c - 4b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 20c + 560b c + 3440b c + 7960b c + 6640b c - 2600b c +--R + +--R 6 3 7 2 8 9 +--R - 8560b c - 5800b c - 1540b c - 120b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 5 4 6 3 +--R - 130c - 765b c - 1700b c - 1625b c + 1625b c + 1700b c +--R + +--R 7 2 8 +--R 765b c + 130b c +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 1400c - 10000b c - 18200b c + 3200b c + 35600b c +--R + +--R 5 4 6 3 7 2 8 9 +--R 23200b c - 11000b c - 16000b c - 5000b c - 400b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 775c + 3525b c + 2405b c - 5385b c - 6655b c + 95b c +--R + +--R 6 3 7 2 8 +--R 3095b c + 1765b c + 380b c +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 2520c + 4480b c - 6440b c - 12960b c + 3820b c + 12400b c +--R + +--R 6 3 7 2 8 9 +--R 1560b c - 3800b c - 1460b c - 120b +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 620c + 23b c + 1599b c + 160b c - 1324b c - 353b c + 295b c +--R + +--R 7 2 8 +--R 170b c + 50b c +--R * +--R 4 +--R sinh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 80b c + 1040b c + 3960b c + 5840b c + 1640b c - 4720b c +--R + +--R 7 2 8 9 +--R - 5400b c - 2160b c - 280b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 55c - 464b c - 1287b c - 1478b c - 247b c + 1212b c +--R + +--R 6 3 7 2 8 +--R 1439b c + 730b c + 150b c +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 400c - 5000b c - 16000b c - 11000b c + 23200b c +--R + +--R 5 4 6 3 7 2 8 9 +--R 35600b c + 3200b c - 18200b c - 10000b c - 1400b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 700c + 3220b c + 4560b c - 3220b c - 10520b c - 3220b c +--R + +--R 6 3 7 2 8 +--R 4560b c + 3220b c + 700b c +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 2240c + 8120b c - 960b c - 23800b c - 10240b c + 22320b c +--R + +--R 6 3 7 2 8 9 +--R 14480b c - 5800b c - 5520b c - 840b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 1217c - 1716b c + 3839b c + 4618b c - 3613b c - 4232b c +--R + +--R 6 3 7 2 8 +--R 721b c + 1330b c + 270b c +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 480c + 240b c + 1600b c - 600b c - 2000b c + 440b c +--R + +--R 6 3 7 2 8 9 +--R 1120b c - 40b c - 240b c - 40b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 120b c + 960b c + 2440b c + 2080b c - 920b c - 2720b c +--R + +--R 8 9 +--R - 1640b c - 320b +--R * +--R 7 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 9c - 147b c - 576b c - 861b c - 304b c + 595b c + 804b c +--R + +--R 7 2 8 +--R 413b c + 85b c +--R * +--R 6 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 40c - 1120b c - 6440b c - 10800b c + 3200b c + 22720b c +--R + +--R 6 3 7 2 8 9 +--R 13080b c - 8560b c - 9800b c - 2240b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 380c + 1765b c + 3095b c + 95b c - 6655b c - 5385b c +--R + +--R 6 3 7 2 8 +--R 2405b c + 3525b c + 775b c +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 840c + 5520b c + 5800b c - 14480b c - 22320b c + 10240b c +--R + +--R 6 3 7 2 8 9 +--R 23800b c + 960b c - 8120b c - 2240b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 5 4 6 3 +--R - 835c - 2791b c + 1562b c + 8589b c - 8589b c - 1562b c +--R + +--R 7 2 8 +--R 2791b c + 835b c +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 720c - 640b c + 3320b c + 2000b c - 5400b c - 2400b c +--R + +--R 6 3 7 2 8 9 +--R 3720b c + 1360b c - 920b c - 320b +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 180c - 143b c - 549b c + 373b c + 623b c - 317b c - 319b c +--R + +--R 7 2 8 +--R 87b c + 65b c +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (80b c + 440b c + 740b c + 200b c - 640b c - 640b c - 180b ) +--R * +--R 8 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 18b c - 129b c - 280b c - 171b c + 166b c + 281b c +--R + +--R 7 2 8 +--R 132b c + 19b c +--R * +--R 7 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 80b c - 1040b c - 3480b c - 2400b c + 5520b c + 7920b c +--R + +--R 7 2 8 9 +--R - 280b c - 4480b c - 1680b +--R * +--R 6 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 85c + 620b c + 1030b c + 360b c - 1640b c - 2660b c +--R + +--R 6 3 7 2 8 +--R - 70b c + 1680b c + 595b c +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 120c + 1460b c + 3800b c - 1560b c - 12400b c - 3820b c +--R + +--R 6 3 7 2 8 9 +--R 12960b c + 6440b c - 4480b c - 2520b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 270c - 1330b c - 721b c + 4232b c + 3613b c - 4618b c +--R + +--R 6 3 7 2 8 +--R - 3839b c + 1716b c + 1217b c +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 320c - 920b c + 1360b c + 3720b c - 2400b c - 5400b c +--R + +--R 6 3 7 2 8 9 +--R 2000b c + 3320b c - 640b c - 720b +--R * +--R 2 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 217c + 56b c - 980b c - 56b c + 1526b c - 56b c - 980b c +--R + +--R 7 2 8 +--R 56b c + 217b c +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 40c - 60b c - 120b c + 200b c + 120b c - 240b c - 40b c +--R + +--R 7 2 9 +--R 120b c - 20b +--R * +--R sinh(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 9 +--R (20b c + 80b c + 80b c - 40b c - 100b c - 40b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (- 9b c - 37b c - 38b c + 18b c + 47b c + 19b c )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R - 40b c - 320b c - 640b c + 160b c + 1400b c + 640b c - 720b c +--R + +--R 9 +--R - 480b +--R * +--R 7 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 5c + 75b c + 215b c + 25b c - 245b c - 255b c - 195b c +--R + +--R 7 2 8 +--R 155b c + 220b c +--R * +--R 6 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 4c + 112b c + 600b c + 568b c - 1724b c - 2472b c + 1624b c +--R + +--R 7 2 8 9 +--R 2800b c - 504b c - 1008b +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 50c - 170b c - 295b c + 353b c + 1324b c - 160b c - 1599b c +--R + +--R 7 2 8 +--R - 23b c + 620b c +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 40c - 240b c - 40b c + 1120b c + 440b c - 2000b c - 600b c +--R + +--R 7 2 8 9 +--R 1600b c + 240b c - 480b +--R * +--R 3 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 65c + 87b c - 319b c - 317b c + 623b c + 373b c - 549b c +--R + +--R 7 2 8 +--R - 143b c + 180b c +--R * +--R 2 +--R cosh(x) +--R + +--R 9 2 7 3 6 4 5 5 4 6 3 7 2 +--R 20c - 120b c + 40b c + 240b c - 120b c - 200b c + 120b c +--R + +--R 8 9 +--R 60b c - 40b +--R * +--R cosh(x) +--R + +--R 9 8 2 7 3 6 5 4 6 3 7 2 8 +--R - 4c + 8b c + 8b c - 24b c + 24b c - 8b c - 8b c + 4b c +--R / +--R 10 2 9 3 8 4 7 5 6 6 5 10 +--R (15b c + 45b c + 30b c - 30b c - 45b c - 15b c )sinh(x) +--R + +--R 10 2 9 3 8 5 6 6 5 7 4 +--R (75b c + 300b c + 375b c - 375b c - 300b c - 75b c ) +--R * +--R cosh(x) +--R + +--R 11 10 3 8 4 7 5 6 6 5 +--R 150c + 375b c - 675b c - 450b c + 225b c + 300b c +--R + +--R 7 4 +--R 75b c +--R * +--R 9 +--R sinh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 150b c + 825b c + 1575b c + 900b c - 900b c +--R + +--R 6 5 7 4 8 3 +--R - 1575b c - 825b c - 150b c +--R * +--R 2 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 675c + 2400b c + 1725b c - 3150b c - 5175b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 900b c + 2475b c + 1650b c + 300b c +--R * +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 675b c - 1350b c + 525b c + 2550b c + 975b c +--R + +--R 6 5 7 4 8 3 +--R - 1050b c - 825b c - 150b c +--R * +--R 8 +--R sinh(x) +--R + +--R 10 2 9 3 8 4 7 6 5 +--R 150b c + 1200b c + 3300b c + 3600b c - 3600b c +--R + +--R 7 4 8 3 9 2 +--R - 3300b c - 1200b c - 150b c +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 1200c + 6150b c + 9000b c - 2700b c - 18000b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 12600b c + 4200b c + 8700b c + 3600b c + 450b c +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 2700b c - 8400b c - 3450b c + 13200b c + 14550b c +--R + +--R 6 5 7 4 8 3 9 2 +--R - 1200b c - 7950b c - 3600b c - 450b c +--R * +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 1800c - 2700b c + 4200b c + 7950b c - 1800b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 7650b c - 1800b c + 2250b c + 1200b c + 150b c +--R * +--R 7 +--R sinh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 75b c + 975b c + 3900b c + 6600b c + 3600b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 3600b c - 6600b c - 3900b c - 975b c - 75b c +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 1050c + 8100b c + 19200b c + 9600b c - 26400b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 39600b c - 8700b c + 18000b c + 14550b c + 3900b c +--R + +--R 10 +--R 300b c +--R * +--R 3 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 4200b c - 19950b c - 23550b c + 18300b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 53850b c + 22800b c - 20250b c - 20700b c - 5850b c +--R + +--R 10 +--R - 450b c +--R * +--R 2 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 6300c - 16800b c + 5250b c + 46500b c + 21750b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 38700b c - 33750b c + 5100b c + 12750b c + 3900b c +--R + +--R 10 +--R 300b c +--R * +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 3150b c + 3150b c - 8400b c - 9450b c + 6375b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 9375b c - 150b c - 3000b c - 975b c - 75b c +--R * +--R 6 +--R sinh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 15b c + 420b c + 2655b c + 6720b c + 7080b c +--R + +--R 7 4 8 3 9 2 10 11 +--R - 7080b c - 6720b c - 2655b c - 420b c - 15b +--R * +--R 5 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 450c + 5775b c + 21300b c + 26325b c - 12000b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 57000b c - 39600b c + 12000b c + 27750b c +--R + +--R 9 2 10 11 +--R 12825b c + 2100b c + 75b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 3150b c - 23400b c - 49200b c - 9600b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 82650b c + 85200b c - 5250b c - 48000b c - 24900b c +--R + +--R 10 11 +--R - 4200b c - 150b +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 +--R - 8400c - 36750b c - 23700b c + 85800b c +--R + +--R 4 7 5 6 6 5 7 4 +--R 117300b c - 37050b c - 125700b c - 36150b c +--R + +--R 8 3 9 2 10 11 +--R 36300b c + 24000b c + 4200b c + 150b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 9450b c + 21000b c - 16800b c - 60600b c - 6525b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 56100b c + 25575b c - 14400b c - 11625b c - 2100b c +--R + +--R 11 +--R - 75b +--R * +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 3780c + 1890b c - 14280b c - 7980b c + 19770b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 12555b c - 11400b c - 8715b c + 1710b c + 2235b c +--R + +--R 10 11 +--R 420b c + 15b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 75b c + 975b c + 3900b c + 6600b c + 3600b c +--R + +--R 7 4 8 3 9 2 10 11 +--R - 3600b c - 6600b c - 3900b c - 975b c - 75b +--R * +--R 6 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 75c + 2100b c + 12825b c + 27750b c + 12000b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 39600b c - 57000b c - 12000b c + 26325b c +--R + +--R 9 2 10 11 +--R 21300b c + 5775b c + 450b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 1125b c - 14250b c - 49125b c - 48000b c +--R + +--R 5 6 6 5 7 4 8 3 +--R 50250b c + 124500b c + 50250b c - 48000b c +--R + +--R 9 2 10 11 +--R - 49125b c - 14250b c - 1125b +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 +--R - 5250c - 37500b c - 63000b c + 49500b c +--R + +--R 4 7 5 6 6 5 7 4 +--R 201750b c + 75000b c - 174750b c - 147000b c +--R + +--R 8 3 9 2 10 11 +--R 22500b c + 58500b c + 18750b c + 1500b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R 10500b c + 42000b c + 12000b c - 112500b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 97500b c + 85125b c + 115875b c - 750b c +--R + +--R 9 2 10 11 +--R - 39750b c - 13875b c - 1125b +--R * +--R 2 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 9450c + 16800b c - 33600b c - 65400b c + 38475b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 95100b c - 8475b c - 60750b c - 11325b c + 13800b c +--R + +--R 10 11 +--R 5475b c + 450b +--R * +--R cosh(x) +--R + +--R 10 3 8 4 7 5 6 6 5 +--R - 3150b c + 11550b c + 1050b c - 15825b c - 3000b c +--R + +--R 7 4 8 3 9 2 10 11 +--R 9525b c + 2850b c - 2025b c - 900b c - 75b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 8 4 7 5 6 6 5 8 3 +--R 150b c + 1200b c + 3300b c + 3600b c - 3600b c +--R + +--R 9 2 10 11 +--R - 3300b c - 1200b c - 150b +--R * +--R 7 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 300b c + 3900b c + 14550b c + 18000b c - 8700b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 39600b c - 26400b c + 9600b c + 19200b c + 8100b c +--R + +--R 11 +--R 1050b +--R * +--R 6 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 150b c - 4200b c - 24900b c - 48000b c - 5250b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 85200b c + 82650b c - 9600b c - 49200b c - 23400b c +--R + +--R 11 +--R - 3150b +--R * +--R 5 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 +--R - 1500c - 18750b c - 58500b c - 22500b c +--R + +--R 4 7 5 6 6 5 7 4 +--R 147000b c + 174750b c - 75000b c - 201750b c +--R + +--R 8 3 9 2 10 11 +--R - 49500b c + 63000b c + 37500b c + 5250b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R 5250b c + 36000b c + 49500b c - 72000b c +--R + +--R 5 6 7 4 8 3 9 2 +--R - 174750b c + 174750b c + 72000b c - 49500b c +--R + +--R 10 11 +--R - 36000b c - 5250b +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 8400c + 30450b c - 12000b c - 119700b c - 34800b c +--R + +--R 5 6 6 5 7 4 8 3 +--R 172950b c + 92700b c - 105450b c - 75000b c +--R + +--R 9 2 10 11 +--R 18600b c + 20700b c + 3150b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 6300b c - 8400b c + 26250b c + 31200b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 39300b c - 43800b c + 24000b c + 27600b c +--R + +--R 9 2 10 11 +--R - 3600b c - 6600b c - 1050b +--R * +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 1800c + 900b c + 7800b c - 3150b c - 13500b c +--R + +--R 5 6 6 5 7 4 8 3 10 11 +--R 3900b c + 11700b c - 1800b c - 5100b c + 900b c + 150b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R 150b c + 825b c + 1575b c + 900b c - 900b c +--R + +--R 9 2 10 11 +--R - 1575b c - 825b c - 150b +--R * +--R 8 +--R cosh(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 450b c + 3600b c + 8700b c + 4200b c - 12600b c +--R + +--R 7 4 8 3 9 2 10 11 +--R - 18000b c - 2700b c + 9000b c + 6150b c + 1200b +--R * +--R 7 +--R cosh(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 450b c - 5850b c - 20700b c - 20250b c + 22800b c +--R + +--R 7 4 8 3 9 2 10 11 +--R 53850b c + 18300b c - 23550b c - 19950b c - 4200b +--R * +--R 6 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 150c - 4200b c - 24000b c - 36300b c + 36150b c +--R + +--R 5 6 6 5 7 4 8 3 +--R 125700b c + 37050b c - 117300b c - 85800b c +--R + +--R 9 2 10 11 +--R 23700b c + 36750b c + 8400b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1125b c + 13875b c + 39750b c + 750b c - 115875b c +--R + +--R 6 5 7 4 8 3 9 2 +--R - 85125b c + 97500b c + 112500b c - 12000b c +--R + +--R 10 11 +--R - 42000b c - 10500b +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 3150c + 20700b c + 18600b c - 75000b c - 105450b c +--R + +--R 5 6 6 5 7 4 8 3 +--R 92700b c + 172950b c - 34800b c - 119700b c +--R + +--R 9 2 10 11 +--R - 12000b c + 30450b c + 8400b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 4200b c - 13650b c + 12150b c + 55500b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 7950b c - 83700b c - 7950b c + 55500b c + 12150b c +--R + +--R 10 11 +--R - 13650b c - 4200b +--R * +--R 2 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2700c - 2400b c + 15150b c + 9900b c - 32700b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 16500b c + 34200b c + 14100b c - 17400b c +--R + +--R 9 2 10 11 +--R - 6300b c + 3450b c + 1200b +--R * +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 675b c - 675b c - 2550b c + 2400b c + 3750b c +--R + +--R 6 5 7 4 8 3 9 2 10 11 +--R - 3150b c - 2700b c + 1800b c + 975b c - 375b c - 150b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 6 6 5 7 4 9 2 10 11 +--R (75b c + 300b c + 375b c - 375b c - 300b c - 75b ) +--R * +--R 9 +--R cosh(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R 300b c + 1650b c + 2475b c - 900b c - 5175b c +--R + +--R 8 3 9 2 10 11 +--R - 3150b c + 1725b c + 2400b c + 675b +--R * +--R 8 +--R cosh(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R - 450b c - 3600b c - 7950b c - 1200b c + 14550b c +--R + +--R 8 3 9 2 10 11 +--R 13200b c - 3450b c - 8400b c - 2700b +--R * +--R 7 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 300b c - 3900b c - 12750b c - 5100b c + 33750b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 38700b c - 21750b c - 46500b c - 5250b c + 16800b c +--R + +--R 11 +--R 6300b +--R * +--R 6 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 75b c + 2100b c + 11625b c + 14400b c - 25575b c +--R + +--R 6 5 7 4 8 3 9 2 +--R - 56100b c + 6525b c + 60600b c + 16800b c +--R + +--R 10 11 +--R - 21000b c - 9450b +--R * +--R 5 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 450c + 5475b c + 13800b c - 11325b c - 60750b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 8475b c + 95100b c + 38475b c - 65400b c +--R + +--R 9 2 10 11 +--R - 33600b c + 16800b c + 9450b +--R * +--R 4 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 1050b c - 6600b c - 3600b c + 27600b c + 24000b c +--R + +--R 6 5 7 4 8 3 9 2 +--R - 43800b c - 39300b c + 31200b c + 26250b c +--R + +--R 10 11 +--R - 8400b c - 6300b +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 1200c - 3450b c + 6300b c + 17400b c - 14100b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 34200b c + 16500b c + 32700b c - 9900b c +--R + +--R 9 2 10 11 +--R - 15150b c + 2400b c + 2700b +--R * +--R 2 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 675b c + 300b c - 3975b c - 600b c + 8550b c +--R + +--R 7 4 8 3 9 2 10 11 +--R - 8550b c + 600b c + 3975b c - 300b c - 675b +--R * +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 150c - 225b c - 600b c + 975b c + 900b c - 1650b c +--R + +--R 6 5 7 4 8 3 9 2 11 +--R - 600b c + 1350b c + 150b c - 525b c + 75b +--R * +--R sinh(x) +--R + +--R 6 5 7 4 8 3 9 2 10 11 10 +--R (15b c + 45b c + 30b c - 30b c - 45b c - 15b )cosh(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 10 +--R 75b c + 300b c + 225b c - 450b c - 675b c + 375b c +--R + +--R 11 +--R 150b +--R * +--R 9 +--R cosh(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 +--R - 150b c - 825b c - 1050b c + 975b c + 2550b c + 525b c +--R + +--R 10 11 +--R - 1350b c - 675b +--R * +--R 8 +--R cosh(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 150b c - 1200b c - 2250b c + 1800b c + 7650b c +--R + +--R 7 4 8 3 9 2 10 11 +--R 1800b c - 7950b c - 4200b c + 2700b c + 1800b +--R * +--R 7 +--R cosh(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R 75b c + 975b c + 3000b c + 150b c - 9375b c - 6375b c +--R + +--R 8 3 9 2 10 11 +--R 9450b c + 8400b c - 3150b c - 3150b +--R * +--R 6 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 15c + 420b c + 2235b c + 1710b c - 8715b c - 11400b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 12555b c + 19770b c - 7980b c - 14280b c + 1890b c +--R + +--R 11 +--R 3780b +--R * +--R 5 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 75b c - 900b c - 2025b c + 2850b c + 9525b c +--R + +--R 6 5 7 4 8 3 9 2 11 +--R - 3000b c - 15825b c + 1050b c + 11550b c - 3150b +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 3 8 4 7 5 6 +--R - 150c - 900b c + 5100b c + 1800b c - 11700b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 3900b c + 13500b c + 3150b c - 7800b c - 900b c +--R + +--R 11 +--R 1800b +--R * +--R 3 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 150b c + 375b c - 975b c - 1800b c + 2700b c + 3150b c +--R + +--R 7 4 8 3 9 2 10 11 +--R - 3750b c - 2400b c + 2550b c + 675b c - 675b +--R * +--R 2 +--R cosh(x) +--R + +--R 11 2 9 3 8 4 7 5 6 6 5 +--R 75c - 525b c + 150b c + 1350b c - 600b c - 1650b c +--R + +--R 7 4 8 3 9 2 10 11 +--R 900b c + 975b c - 600b c - 225b c + 150b +--R * +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 7 4 +--R - 15b c + 30b c + 45b c - 120b c - 30b c + 180b c - 30b c +--R + +--R 8 3 9 2 10 11 +--R - 120b c + 45b c + 30b c - 15b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 11 10 2 9 3 8 4 7 5 6 10 +--R (15c + 45b c + 30b c - 30b c - 45b c - 15b c )sinh(x) +--R + +--R 11 10 2 9 4 7 5 6 6 5 +--R (75c + 300b c + 375b c - 375b c - 300b c - 75b c )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 150c + 825b c + 1575b c + 900b c - 900b c - 1575b c +--R + +--R 6 5 7 4 +--R - 825b c - 150b c +--R * +--R 2 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 675c - 1350b c + 525b c + 2550b c + 975b c - 1050b c +--R + +--R 6 5 7 4 +--R - 825b c - 150b c +--R * +--R 8 +--R sinh(x) +--R + +--R 11 10 2 9 3 8 5 6 +--R 150c + 1200b c + 3300b c + 3600b c - 3600b c +--R + +--R 6 5 7 4 8 3 +--R - 3300b c - 1200b c - 150b c +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2700c - 8400b c - 3450b c + 13200b c + 14550b c +--R + +--R 5 6 6 5 7 4 8 3 +--R - 1200b c - 7950b c - 3600b c - 450b c +--R * +--R cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 75c + 975b c + 3900b c + 6600b c + 3600b c - 3600b c +--R + +--R 6 5 7 4 8 3 9 2 +--R - 6600b c - 3900b c - 975b c - 75b c +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 4200c - 19950b c - 23550b c + 18300b c + 53850b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 22800b c - 20250b c - 20700b c - 5850b c - 450b c +--R * +--R 2 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 3150c + 3150b c - 8400b c - 9450b c + 6375b c + 9375b c +--R + +--R 6 5 7 4 8 3 9 2 +--R - 150b c - 3000b c - 975b c - 75b c +--R * +--R 6 +--R sinh(x) +--R + +--R 11 10 2 9 3 8 4 7 6 5 +--R 15c + 420b c + 2655b c + 6720b c + 7080b c - 7080b c +--R + +--R 7 4 8 3 9 2 10 +--R - 6720b c - 2655b c - 420b c - 15b c +--R * +--R 5 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 3150c - 23400b c - 49200b c - 9600b c + 82650b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 85200b c - 5250b c - 48000b c - 24900b c - 4200b c +--R + +--R 10 +--R - 150b c +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 9450c + 21000b c - 16800b c - 60600b c - 6525b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 56100b c + 25575b c - 14400b c - 11625b c - 2100b c +--R + +--R 10 +--R - 75b c +--R * +--R cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 75b c + 975b c + 3900b c + 6600b c + 3600b c - 3600b c +--R + +--R 7 4 8 3 9 2 10 +--R - 6600b c - 3900b c - 975b c - 75b c +--R * +--R 6 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 1125c - 14250b c - 49125b c - 48000b c + 50250b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 124500b c + 50250b c - 48000b c - 49125b c - 14250b c +--R + +--R 10 +--R - 1125b c +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 10500c + 42000b c + 12000b c - 112500b c - 97500b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 85125b c + 115875b c - 750b c - 39750b c - 13875b c +--R + +--R 10 +--R - 1125b c +--R * +--R 2 +--R cosh(x) +--R + +--R 11 2 9 3 8 4 7 5 6 +--R - 3150c + 11550b c + 1050b c - 15825b c - 3000b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 9525b c + 2850b c - 2025b c - 900b c - 75b c +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 3 8 4 7 5 6 7 4 +--R 150b c + 1200b c + 3300b c + 3600b c - 3600b c +--R + +--R 8 3 9 2 10 +--R - 3300b c - 1200b c - 150b c +--R * +--R 7 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 150c - 4200b c - 24900b c - 48000b c - 5250b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 85200b c + 82650b c - 9600b c - 49200b c - 23400b c +--R + +--R 10 +--R - 3150b c +--R * +--R 5 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 5250c + 36000b c + 49500b c - 72000b c - 174750b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 174750b c + 72000b c - 49500b c - 36000b c - 5250b c +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 6300c - 8400b c + 26250b c + 31200b c - 39300b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 43800b c + 24000b c + 27600b c - 3600b c - 6600b c +--R + +--R 10 +--R - 1050b c +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R 150b c + 825b c + 1575b c + 900b c - 900b c - 1575b c +--R + +--R 9 2 10 +--R - 825b c - 150b c +--R * +--R 8 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 450b c - 5850b c - 20700b c - 20250b c + 22800b c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 53850b c + 18300b c - 23550b c - 19950b c - 4200b c +--R * +--R 6 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 1125c + 13875b c + 39750b c + 750b c - 115875b c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 85125b c + 97500b c + 112500b c - 12000b c - 42000b c +--R + +--R 10 +--R - 10500b c +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 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43800b c - 39300b c + 31200b c + 26250b c - 8400b c +--R + +--R 10 +--R - 6300b c +--R * +--R 3 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 6 5 +--R 675c + 300b c - 3975b c - 600b c + 8550b c - 8550b c +--R + +--R 7 4 8 3 9 2 10 +--R 600b c + 3975b c - 300b c - 675b c +--R * +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 5 6 6 5 7 4 8 3 9 2 10 10 +--R (15b c + 45b c + 30b c - 30b c - 45b c - 15b c)cosh(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R - 150b c - 825b c - 1050b c + 975b c + 2550b c + 525b c +--R + +--R 9 2 10 +--R - 1350b c - 675b c +--R * +--R 8 +--R cosh(x) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 75b c + 975b c + 3000b c + 150b c - 9375b c - 6375b c +--R + +--R 7 4 8 3 9 2 10 +--R 9450b c + 8400b c - 3150b c - 3150b c +--R * +--R 6 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 75c - 900b c - 2025b c + 2850b c + 9525b c - 3000b c +--R + +--R 6 5 7 4 8 3 10 +--R - 15825b c + 1050b c + 11550b c - 3150b c +--R * +--R 4 +--R cosh(x) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 150c + 375b c - 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37200b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 70500b c + 32100b c + 116700b c + 10275b c - 81600b c +--R + +--R 10 2 11 12 +--R - 26250b c + 21000b c + 9450b +--R * +--R 5 +--R cosh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 +--R - 450b c - 5475b c - 13800b c + 11325b c + 60750b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R 8475b c - 95100b c - 38475b c + 65400b c + 33600b c +--R + +--R 11 12 +--R - 16800b c - 9450b +--R * +--R 4 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 1050c - 6600b c - 2550b c + 34200b c + 27600b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 71400b c - 63300b c + 75000b c + 65550b c - 39600b c +--R + +--R 10 2 11 12 +--R - 32550b c + 8400b c + 6300b +--R * +--R 3 +--R cosh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 +--R 1200b c + 3450b c - 6300b c - 17400b c + 14100b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R 34200b c - 16500b c - 32700b c + 9900b c + 15150b c +--R + +--R 11 12 +--R - 2400b c - 2700b +--R * +--R 2 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 675c + 300b c - 4650b c - 900b c + 12525b c + 600b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R - 17100b c + 600b c + 12525b c - 900b c - 4650b c +--R + +--R 11 12 +--R 300b c + 675b +--R * +--R cosh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 6 6 +--R - 150b c + 225b c + 600b c - 975b c - 900b c + 1650b c +--R + +--R 7 5 8 4 9 3 10 2 12 +--R 600b c - 1350b c - 150b c + 525b c - 75b +--R * +--R sinh(x) +--R + +--R 5 7 6 6 7 5 8 4 9 3 10 2 11 +--R 15b c + 45b c + 15b c - 75b c - 75b c + 15b c + 45b c +--R + +--R 12 +--R 15b +--R * +--R 10 +--R cosh(x) +--R + +--R 5 7 6 6 7 5 8 4 9 3 11 +--R - 75b c - 300b c - 225b c + 450b c + 675b c - 375b c +--R + +--R 12 +--R - 150b +--R * +--R 9 +--R cosh(x) +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 +--R - 150b c - 825b c - 900b c + 1800b c + 3600b c - 450b c +--R + +--R 9 3 10 2 11 12 +--R - 3900b c - 1200b c + 1350b c + 675b +--R * +--R 8 +--R cosh(x) +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 +--R 150b c + 1200b c + 2250b c - 1800b c - 7650b c - 1800b c +--R + +--R 9 3 10 2 11 12 +--R 7950b c + 4200b c - 2700b c - 1800b +--R * +--R 7 +--R cosh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 6 6 +--R 75b c + 975b c + 2925b c - 825b c - 12375b c - 6525b c +--R + +--R 7 5 8 4 9 3 10 2 11 12 +--R 18825b c + 14775b c - 12600b c - 11550b c + 3150b c + 3150b +--R * +--R 6 +--R cosh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 6 6 +--R - 15b c - 420b c - 2235b c - 1710b c + 8715b c + 11400b c +--R + +--R 7 5 8 4 9 3 10 2 11 +--R - 12555b c - 19770b c + 7980b c + 14280b c - 1890b c +--R + +--R 12 +--R - 3780b +--R * +--R 5 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 75c - 900b c - 1950b c + 3750b c + 11550b c - 5850b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R - 25350b c + 4050b c + 27375b c - 1050b c - 14700b c +--R + +--R 12 +--R 3150b +--R * +--R 4 +--R cosh(x) +--R + +--R 11 2 10 4 8 5 7 6 6 7 5 +--R 150b c + 900b c - 5100b c - 1800b c + 11700b c + 3900b c +--R + +--R 8 4 9 3 10 2 11 12 +--R - 13500b c - 3150b c + 7800b c + 900b c - 1800b +--R * +--R 3 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 150c + 375b c - 1125b c - 2175b c + 3675b c + 4950b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 11 +--R - 6450b c - 5550b c + 6300b c + 3075b c - 3225b c - 675b c +--R + +--R 12 +--R 675b +--R * +--R 2 +--R cosh(x) +--R + +--R 11 3 9 4 8 5 7 6 6 7 5 +--R - 75b c + 525b c - 150b c - 1350b c + 600b c + 1650b c +--R + +--R 8 4 9 3 10 2 11 12 +--R - 900b c - 975b c + 600b c + 225b c - 150b +--R * +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 7 5 +--R - 15c + 30b c + 60b c - 150b c - 75b c + 300b c - 300b c +--R + +--R 8 4 9 3 10 2 11 12 +--R 75b c + 150b c - 60b c - 30b c + 15b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 12 11 3 9 4 8 5 7 6 6 7 5 +--R (- 150c - 375b c + 675b c + 450b c - 225b c - 300b c - 75b c ) +--R * +--R 9 +--R sinh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 675c - 2400b c - 1725b c + 3150b c + 5175b c + 900b c +--R + +--R 6 6 7 5 8 4 +--R - 2475b c - 1650b c - 300b c +--R * +--R 8 +--R cosh(x)sinh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 1200c - 6150b c - 9000b c + 2700b c + 18000b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 12600b c - 4200b c - 8700b c - 3600b c - 450b c +--R * +--R 2 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 1800c + 2700b c - 4200b c - 7950b c + 1800b c + 7650b c +--R + +--R 6 6 7 5 8 4 9 3 +--R 1800b c - 2250b c - 1200b c - 150b c +--R * +--R 7 +--R sinh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 1050c - 8100b c - 19200b c - 9600b c + 26400b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 10 2 +--R 39600b c + 8700b c - 18000b c - 14550b c - 3900b c - 300b c +--R * +--R 3 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 6300c + 16800b c - 5250b c - 46500b c - 21750b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 10 2 +--R 38700b c + 33750b c - 5100b c - 12750b c - 3900b c - 300b c +--R * +--R cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 450c - 5775b c - 21300b c - 26325b c + 12000b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 57000b c + 39600b c - 12000b c - 27750b c - 12825b c +--R + +--R 10 2 11 +--R - 2100b c - 75b c +--R * +--R 4 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 8400c + 36750b c + 23700b c - 85800b c - 117300b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 37050b c + 125700b c + 36150b c - 36300b c - 24000b c +--R + +--R 10 2 11 +--R - 4200b c - 150b c +--R * +--R 2 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 3780c - 1890b c + 14280b c + 7980b c - 19770b c - 12555b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 11 +--R 11400b c + 8715b c - 1710b c - 2235b c - 420b c - 15b c +--R * +--R 5 +--R sinh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 75c - 2100b c - 12825b c - 27750b c - 12000b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 39600b c + 57000b c + 12000b c - 26325b c - 21300b c +--R + +--R 10 2 11 +--R - 5775b c - 450b c +--R * +--R 5 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 5250c + 37500b c + 63000b c - 49500b c - 201750b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 75000b c + 174750b c + 147000b c - 22500b c - 58500b c +--R + +--R 10 2 11 +--R - 18750b c - 1500b c +--R * +--R 3 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 9450c - 16800b c + 33600b c + 65400b c - 38475b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 95100b c + 8475b c + 60750b c + 11325b c - 13800b c +--R + +--R 10 2 11 +--R - 5475b c - 450b c +--R * +--R cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 +--R - 300b c - 3900b c - 14550b c - 18000b c + 8700b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 11 +--R 39600b c + 26400b c - 9600b c - 19200b c - 8100b c - 1050b c +--R * +--R 6 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 1500c + 18750b c + 58500b c + 22500b c - 147000b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 174750b c + 75000b c + 201750b c + 49500b c - 63000b c +--R + +--R 10 2 11 +--R - 37500b c - 5250b c +--R * +--R 4 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 8400c - 30450b c + 12000b c + 119700b c + 34800b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 172950b c - 92700b c + 105450b c + 75000b c - 18600b c +--R + +--R 10 2 11 +--R - 20700b c - 3150b c +--R * +--R 2 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 1800c - 900b c - 7800b c + 3150b c + 13500b c - 3900b c +--R + +--R 6 6 7 5 8 4 10 2 11 +--R - 11700b c + 1800b c + 5100b c - 900b c - 150b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 3 9 4 8 5 7 6 6 +--R - 450b c - 3600b c - 8700b c - 4200b c + 12600b c +--R + +--R 7 5 8 4 9 3 10 2 11 +--R 18000b c + 2700b c - 9000b c - 6150b c - 1200b c +--R * +--R 7 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 150c + 4200b c + 24000b c + 36300b c - 36150b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 125700b c - 37050b c + 117300b c + 85800b c - 23700b c +--R + +--R 10 2 11 +--R - 36750b c - 8400b c +--R * +--R 5 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 3150c - 20700b c - 18600b c + 75000b c + 105450b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R - 92700b c - 172950b c + 34800b c + 119700b c + 12000b c +--R + +--R 10 2 11 +--R - 30450b c - 8400b c +--R * +--R 3 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 2700c + 2400b c - 15150b c - 9900b c + 32700b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 16500b c - 34200b c - 14100b c + 17400b c + 6300b c +--R + +--R 10 2 11 +--R - 3450b c - 1200b c +--R * +--R cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 +--R - 300b c - 1650b c - 2475b c + 900b c + 5175b c + 3150b c +--R + +--R 9 3 10 2 11 +--R - 1725b c - 2400b c - 675b c +--R * +--R 8 +--R cosh(x) +--R + +--R 11 2 10 3 9 4 8 5 7 +--R 300b c + 3900b c + 12750b c + 5100b c - 33750b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R - 38700b c + 21750b c + 46500b c + 5250b c - 16800b c +--R + +--R 11 +--R - 6300b c +--R * +--R 6 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R - 450c - 5475b c - 13800b c + 11325b c + 60750b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 8475b c - 95100b c - 38475b c + 65400b c + 33600b c +--R + +--R 10 2 11 +--R - 16800b c - 9450b c +--R * +--R 4 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 +--R 1200c + 3450b c - 6300b c - 17400b c + 14100b c +--R + +--R 5 7 6 6 7 5 8 4 9 3 +--R 34200b c - 16500b c - 32700b c + 9900b c + 15150b c +--R + +--R 10 2 11 +--R - 2400b c - 2700b c +--R * +--R 2 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 150c + 225b c + 600b c - 975b c - 900b c + 1650b c +--R + +--R 6 6 7 5 8 4 9 3 11 +--R 600b c - 1350b c - 150b c + 525b c - 75b c +--R * +--R sinh(x) +--R + +--R 4 8 5 7 6 6 7 5 8 4 10 2 11 +--R (- 75b c - 300b c - 225b c + 450b c + 675b c - 375b c - 150b c) +--R * +--R 9 +--R cosh(x) +--R + +--R 2 10 3 9 4 8 5 7 6 6 7 5 +--R 150b c + 1200b c + 2250b c - 1800b c - 7650b c - 1800b c +--R + +--R 8 4 9 3 10 2 11 +--R 7950b c + 4200b c - 2700b c - 1800b c +--R * +--R 7 +--R cosh(x) +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 15c - 420b c - 2235b c - 1710b c + 8715b c + 11400b c +--R + +--R 6 6 7 5 8 4 9 3 10 2 11 +--R - 12555b c - 19770b c + 7980b c + 14280b c - 1890b c - 3780b c +--R * +--R 5 +--R cosh(x) +--R + +--R 12 11 3 9 4 8 5 7 6 6 +--R 150c + 900b c - 5100b c - 1800b c + 11700b c + 3900b c +--R + +--R 7 5 8 4 9 3 10 2 11 +--R - 13500b c - 3150b c + 7800b c + 900b c - 1800b c +--R * +--R 3 +--R cosh(x) +--R + +--R 12 2 10 3 9 4 8 5 7 6 6 +--R - 75c + 525b c - 150b c - 1350b c + 600b c + 1650b c +--R + +--R 7 5 8 4 9 3 10 2 11 +--R - 900b c - 975b c + 600b c + 225b c - 150b c +--R * +--R cosh(x) +--R Type: Expression Integer +--E 204 + +--S 205 of 518 +--d0940:= D(m0940,x) +--E 205 + +--S 206 of 518 +t0941:= ((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(1/2) +--R +--R +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R (202) \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 206 + +--S 207 of 518 +r0941:= 2*(c*cosh(x)+b*sinh(x))/((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(1/2) +--R +--R +--R 2b sinh(x) + 2c cosh(x) +--R (203) --------------------------------------- +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 207 + +--S 208 of 518 +a0941:= integrate(t0941,x) +--R +--R +--R (204) +--R 2 2 +--R (c + b)sinh(x) + (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) + c - b +--R / +--R (sinh(x) + cosh(x)) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 208 + +--S 209 of 518 +m0941:= a0941-r0941 +--R +--R +--R (205) +--R 2 2 +--R ((c + b)sinh(x) + (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) + c - b) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R + +--R 2 2 +--R (- 2b sinh(x) + (- 2c - 2b)cosh(x)sinh(x) - 2c cosh(x) ) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R / +--R (sinh(x) + cosh(x)) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 209 + +--S 210 of 518 +d0941:= D(m0941,x) +--R +--R +--R (206) +--R 2 2 4 2 2 3 +--R (5c + 6b c + b )sinh(x) + (16c + 24b c + 8b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((18c + 36b c + 18b )cosh(x) - 10c + 4b c + 6b )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((8c + 24b c + 16b )cosh(x) + (- 16c + 16b )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 +--R (c + 6b c + 5b )cosh(x) + (- 6c - 4b c + 10b )cosh(x) + c +--R + +--R 2 +--R - 2b c + b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 5 3 2 2 3 4 +--R (c + 2b c + b c)sinh(x) + (4c + 9b c + 6b c + b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R ((6c + 16b c + 14b c + 4b )cosh(x) - 10c - 4b c + 10b c + 4b ) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (4c + 14b c + 16b c + 6b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24c - 18b c + 24b c + 18b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (c + 6b c + 9b c + 4b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 18c - 24b c + 18b c + 24b )cosh(x) + 5c - 6b c - 3b c + 4b +--R * +--R sinh(x) +--R + +--R 2 2 3 5 3 2 2 3 3 +--R (b c + 2b c + b )cosh(x) + (- 4c - 10b c + 4b c + 10b )cosh(x) +--R + +--R 3 2 2 3 +--R (4c - 3b c - 6b c + 5b )cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R + +--R 2 2 4 +--R (- 12c - 4b c + 4b )sinh(x) +--R + +--R 2 2 3 +--R (- 28c - 24b c + 4b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 16c - 40b c - 16b )cosh(x) + 4c - 4b c)sinh(x) +--R + +--R 2 2 3 2 2 +--R ((4c - 24b c - 28b )cosh(x) + (4c - 4b )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 +--R (4c - 4b c - 12b )cosh(x) + (4b c - 4b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 5 +--R (- 4c - 4b c + 2b c + 2b )sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 12c - 16b c + 2b c + 6b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 10c - 22b c - 10b c + 2b )cosh(x) + 12c - 4b c - 10b c +--R + +--R 3 +--R 2b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (2c - 10b c - 22b c - 10b )cosh(x) +--R + +--R 3 2 2 3 +--R (20c + 8b c - 22b c - 6b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (6c + 2b c - 16b c - 12b )cosh(x) +--R + +--R 3 2 2 3 2 +--R (6c + 22b c - 8b c - 20b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (2c + 2b c - 4b c - 4b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 2c + 10b c + 4b c - 12b )cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R / +--R 3 2 +--R (6c + 2b)sinh(x) + (14c + 10b)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((10c + 14b)cosh(x) - 2c + 2b)sinh(x) + (2c + 6b)cosh(x) +--R + +--R (- 2c + 2b)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 4 2 2 3 +--R (2c + 2b c)sinh(x) + (6c + 8b c + 2b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((6c + 12b c + 6b )cosh(x) - 6c + 2b c + 4b )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((2c + 8b c + 6b )cosh(x) + (- 10c + 10b )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R (2b c + 2b )cosh(x) + (- 4c - 2b c + 6b )cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 210 + +--S 211 of 518 +t0942:= ((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(3/2) +--R +--R +--R (207) +--R +------------------------------------+ +--R +---------+ | +---------+ +--R | 2 2 | | 2 2 +--R (\|- c + b + c sinh(x) + b cosh(x))\|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 211 + +--S 212 of 518 +r0942:= 8/3*(b^2-c^2)^(1/2)*(c*cosh(x)+b*sinh(x))/((b^2-c^2)^(1/2)+_ + b*cosh(x)+c*sinh(x))^(1/2)+2/3*(c*cosh(x)+_ + b*sinh(x))*((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(1/2) +--R +--R +--R (208) +--R +---------+ +--R | 2 2 2 +--R (10b sinh(x) + 10c cosh(x))\|- c + b + 2b c sinh(x) +--R + +--R 2 2 2 +--R (2c + 2b )cosh(x)sinh(x) + 2b c cosh(x) +--R / +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R 3\|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 212 + +--S 213 of 518 +a0942:= integrate(t0942,x) +--R +--R +--R (209) +--R 3 2 +--R (10c + 10b)sinh(x) + (30c + 30b)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((30c + 30b)cosh(x) + 10c - 10b)sinh(x) + (10c + 10b)cosh(x) +--R + +--R (10c - 10b)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 2 4 2 2 3 +--R (c + 2b c + b )sinh(x) + (4c + 8b c + 4b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 3 +--R (6c + 12b c + 6b )cosh(x) sinh(x) + (4c + 8b c + 4b )cosh(x) sinh(x) +--R + +--R 2 2 4 2 2 +--R (c + 2b c + b )cosh(x) - c + 2b c - b +--R / +--R 2 2 +--R (6sinh(x) + 12cosh(x)sinh(x) + 6cosh(x) ) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 213 + +--S 214 of 518 +m0942:= a0942-r0942 +--R +--R +--R (210) +--R 3 2 +--R (10c + 10b)sinh(x) + (30c + 30b)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((30c + 30b)cosh(x) + 10c - 10b)sinh(x) + (10c + 10b)cosh(x) +--R + +--R (10c - 10b)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 2 4 2 2 3 +--R (c + 2b c + b )sinh(x) + (4c + 8b c + 4b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6c + 12b c + 6b )cosh(x) sinh(x) +--R + +--R 2 2 3 2 2 4 2 +--R (4c + 8b c + 4b )cosh(x) sinh(x) + (c + 2b c + b )cosh(x) - c +--R + +--R 2 +--R 2b c - b +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R + +--R 3 2 +--R - 20b sinh(x) + (- 20c - 40b)cosh(x)sinh(x) +--R + +--R 2 3 +--R (- 40c - 20b)cosh(x) sinh(x) - 20c cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 4 2 2 3 +--R - 4b c sinh(x) + (- 4c - 8b c - 4b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 8c - 8b c - 8b )cosh(x) sinh(x) +--R + +--R 2 2 3 4 +--R (- 4c - 8b c - 4b )cosh(x) sinh(x) - 4b c cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R / +--R 2 2 +--R (6sinh(x) + 12cosh(x)sinh(x) + 6cosh(x) ) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 214 + +--S 215 of 518 +d0942:= D(m0942,x) +--R +--R +--R (211) +--R 3 2 2 3 6 +--R (21c + 45b c + 27b c + 3b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (108c + 252b c + 180b c + 36b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (225c + 585b c + 495b c + 135b )cosh(x) - 105c - 45b c +--R + +--R 2 3 +--R 105b c + 45b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (240c + 720b c + 720b c + 240b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 360c - 240b c + 360b c + 240b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (135c + 495b c + 585b c + 225b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 450c - 450b c + 450b c + 450b )cosh(x) + 63c - 81b c +--R + +--R 2 3 +--R - 27b c + 45b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (36c + 180b c + 252b c + 108b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 240c - 360b c + 240b c + 360b )cosh(x) +--R + +--R 3 2 2 3 +--R (108c - 108b c - 108b c + 108b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (3c + 27b c + 45b c + 21b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 45c - 105b c + 45b c + 105b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (45c - 27b c - 81b c + 63b )cosh(x) - 3c + 9b c - 9b c + 3b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 4 3 2 2 3 7 +--R (3c + 9b c + 9b c + 3b c)sinh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (18c + 57b c + 63b c + 27b c + 3b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (45c + 153b c + 189b c + 99b c + 18b )cosh(x) - 63c - 81b c +--R + +--R 2 2 3 4 +--R 45b c + 81b c + 18b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (60c + 225b c + 315b c + 195b c + 45b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 270c - 405b c + 135b c + 405b c + 135b )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (45c + 195b c + 315b c + 225b c + 60b )cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 450c - 810b c + 90b c + 810b c + 360b )cosh(x) + 105c +--R + +--R 3 2 2 3 4 +--R - 45b c - 165b c + 45b c + 60b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (18c + 99b c + 189b c + 153b c + 45b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 360c - 810b c - 90b c + 810b c + 450b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (270c - 45b c - 495b c + 45b c + 225b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (3c + 27b c + 63b c + 57b c + 18b )cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 135c - 405b c - 135b c + 405b c + 270b )cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (225c + 45b c - 495b c - 45b c + 270b )cosh(x) - 21c +--R + +--R 3 2 2 3 4 +--R 45b c - 9b c - 33b c + 18b +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 7 +--R (3b c + 9b c + 9b c + 3b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 18c - 81b c - 45b c + 81b c + 63b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (60c + 45b c - 165b c - 45b c + 105b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 18c + 33b c + 9b c - 45b c + 21b )cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 64c - 48b c + 4b c + 12b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 240c - 328b c - 48b c + 40b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 332c - 756b c - 352b c)cosh(x) + 128c - 48b c - 92b c +--R + +--R 3 +--R 12b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 184c - 776b c - 776b c - 184b )cosh(x) +--R + +--R 3 2 2 3 +--R (336c + 56b c - 336b c - 56b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 4 +--R (- 352b c - 756b c - 332b )cosh(x) +--R + +--R 3 2 2 3 2 +--R (276c + 348b c - 348b c - 276b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (40c - 48b c - 328b c - 240b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (56c + 336b c - 56b c - 336b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (12c + 4b c - 48b c - 64b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 12c + 92b c + 48b c - 128b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 4 3 2 2 3 7 +--R (- 8c - 8b c - 4b c - 4b c)sinh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 32c - 64b c - 48b c - 20b c - 4b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 52c - 180b c - 184b c - 72b c - 16b )cosh(x) + 144c +--R + +--R 3 2 2 3 4 +--R 32b c - 156b c - 44b c + 24b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 48c - 244b c - 340b c - 176b c - 32b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (464c + 360b c - 504b c - 348b c + 28b )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 32c - 176b c - 340b c - 244b c - 48b )cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (516c + 884b c - 348b c - 860b c - 192b )cosh(x) - 40c +--R + +--R 3 2 2 3 +--R 40b c + 40b c - 40b c +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 16c - 72b c - 184b c - 180b c - 52b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (192c + 860b c + 348b c - 884b c - 516b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 80c + 40b c + 120b c - 40b c - 40b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 4c - 20b c - 48b c - 64b c - 32b )cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 28c + 348b c + 504b c - 360b c - 464b )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 40c - 40b c + 120b c + 40b c - 80b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 7 +--R (- 4b c - 4b c - 8b c - 8b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 24c + 44b c + 156b c - 32b c - 144b )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 40b c + 40b c + 40b c - 40b )cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R / +--R 4 3 +--R (36c + 12b)sinh(x) + (120c + 72b)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((144c + 144b)cosh(x) - 12c + 12b)sinh(x) +--R + +--R 3 +--R ((72c + 120b)cosh(x) + (- 24c + 24b)cosh(x))sinh(x) +--R + +--R 4 2 +--R (12c + 36b)cosh(x) + (- 12c + 12b)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 5 2 2 4 +--R (12c + 12b c)sinh(x) + (48c + 60b c + 12b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R ((72c + 120b c + 48b )cosh(x) - 36c + 12b c + 24b )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((48c + 120b c + 72b )cosh(x) + (- 96c + 12b c + 84b )cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R ((12c + 60b c + 48b )cosh(x) + (- 84c - 12b c + 96b )cosh(x) ) +--R * +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (12b c + 12b )cosh(x) + (- 24c - 12b c + 36b )cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 215 + +--S 216 of 518 +t0943:= ((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(5/2) +--R +--R +--R (212) +--R +---------+ +--R | 2 2 2 2 +--R (2c sinh(x) + 2b cosh(x))\|- c + b + c sinh(x) + 2b c cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R b cosh(x) - c + b +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 216 + +--S 217 of 518 +r0943:= 64/15*(b^2-c^2)*(c*cosh(x)+b*sinh(x))/((b^2-c^2)^(1/2)+_ + b*cosh(x)+c*sinh(x))^(1/2)+16/15*(b^2-c^2)^(1/2)*(c*cosh(x)+_ + b*sinh(x))*((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(1/2)+_ + 2/5*(c*cosh(x)+b*sinh(x))*((b^2-c^2)^(1/2)+b*cosh(x)+c*sinh(x))^(3/2) +--R +--R +--R (213) +--R 2 2 2 2 +--R (28b c sinh(x) + (28c + 28b )cosh(x)sinh(x) + 28b c cosh(x) ) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 3 3 2 2 +--R 6b c sinh(x) + (6c + 12b c)cosh(x)sinh(x) +--R + +--R 2 3 2 2 3 2 3 +--R ((12b c + 6b )cosh(x) - 86b c + 86b )sinh(x) + 6b c cosh(x) +--R + +--R 3 2 +--R (- 86c + 86b c)cosh(x) +--R / +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R 15\|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 217 + +--S 218 of 518 +a0943:= integrate(t0943,x) +--R +--R +--R (214) +--R 2 2 5 +--R (28c + 56b c + 28b )sinh(x) +--R + +--R 2 2 4 +--R (140c + 280b c + 140b )cosh(x)sinh(x) +--R + +--R 2 2 2 3 +--R (280c + 560b c + 280b )cosh(x) sinh(x) +--R + +--R 2 2 3 2 +--R (280c + 560b c + 280b )cosh(x) sinh(x) +--R + +--R 2 2 4 2 2 +--R ((140c + 280b c + 140b )cosh(x) - 28c + 56b c - 28b )sinh(x) +--R + +--R 2 2 5 2 2 +--R (28c + 56b c + 28b )cosh(x) + (- 28c + 56b c - 28b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 6 +--R (3c + 9b c + 9b c + 3b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (18c + 54b c + 54b c + 18b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (45c + 135b c + 135b c + 45b )cosh(x) - 175c - 175b c + 175b c +--R + +--R 3 +--R 175b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (60c + 180b c + 180b c + 60b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 700c - 700b c + 700b c + 700b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (45c + 135b c + 135b c + 45b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 1050c - 1050b c + 1050b c + 1050b )cosh(x) - 175c + 175b c +--R + +--R 2 3 +--R 175b c - 175b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (18c + 54b c + 54b c + 18b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 700c - 700b c + 700b c + 700b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 350c + 350b c + 350b c - 350b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (3c + 9b c + 9b c + 3b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 175c - 175b c + 175b c + 175b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 175c + 175b c + 175b c - 175b )cosh(x) + 3c - 9b c + 9b c - 3b +--R / +--R 3 2 2 3 +--R (60sinh(x) + 180cosh(x)sinh(x) + 180cosh(x) sinh(x) + 60cosh(x) ) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 218 + +--S 219 of 518 +m0943:= a0943-r0943 +--R +--R +--R (215) +--R 2 2 5 +--R (28c + 56b c + 28b )sinh(x) +--R + +--R 2 2 4 +--R (140c + 280b c + 140b )cosh(x)sinh(x) +--R + +--R 2 2 2 3 +--R (280c + 560b c + 280b )cosh(x) sinh(x) +--R + +--R 2 2 3 2 +--R (280c + 560b c + 280b )cosh(x) sinh(x) +--R + +--R 2 2 4 2 2 +--R ((140c + 280b c + 140b )cosh(x) - 28c + 56b c - 28b )sinh(x) +--R + +--R 2 2 5 2 2 +--R (28c + 56b c + 28b )cosh(x) + (- 28c + 56b c - 28b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 3 2 2 3 6 +--R (3c + 9b c + 9b c + 3b )sinh(x) +--R + +--R 3 2 2 3 5 +--R (18c + 54b c + 54b c + 18b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (45c + 135b c + 135b c + 45b )cosh(x) - 175c - 175b c +--R + +--R 2 3 +--R 175b c + 175b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (60c + 180b c + 180b c + 60b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 700c - 700b c + 700b c + 700b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (45c + 135b c + 135b c + 45b )cosh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 1050c - 1050b c + 1050b c + 1050b )cosh(x) - 175c +--R + +--R 2 2 3 +--R 175b c + 175b c - 175b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 3 5 +--R (18c + 54b c + 54b c + 18b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 700c - 700b c + 700b c + 700b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 350c + 350b c + 350b c - 350b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (3c + 9b c + 9b c + 3b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 175c - 175b c + 175b c + 175b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 175c + 175b c + 175b c - 175b )cosh(x) + 3c - 9b c + 9b c - 3b +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R + +--R 5 2 2 4 +--R - 112b c sinh(x) + (- 112c - 336b c - 112b )cosh(x)sinh(x) +--R + +--R 2 2 2 3 +--R (- 336c - 448b c - 336b )cosh(x) sinh(x) +--R + +--R 2 2 3 2 +--R (- 336c - 448b c - 336b )cosh(x) sinh(x) +--R + +--R 2 2 4 5 +--R (- 112c - 336b c - 112b )cosh(x) sinh(x) - 112b c cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 6 3 2 2 5 +--R - 24b c sinh(x) + (- 24c - 72b c - 48b c)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 3 +--R ((- 72c - 120b c - 144b c - 24b )cosh(x) + 344b c - 344b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 3 +--R (- 72c - 168b c - 168b c - 72b )cosh(x) +--R + +--R 3 2 2 3 +--R (344c + 1032b c - 344b c - 1032b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 24c - 144b c - 120b c - 72b )cosh(x) +--R + +--R 3 2 2 3 2 +--R (1032c + 1032b c - 1032b c - 1032b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 +--R (- 48b c - 72b c - 24b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (1032c + 344b c - 1032b c - 344b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 3 2 4 +--R - 24b c cosh(x) + (344c - 344b c)cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R / +--R 3 2 2 3 +--R (60sinh(x) + 180cosh(x)sinh(x) + 180cosh(x) sinh(x) + 60cosh(x) ) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 219 + +--S 220 of 518 +d0943:= D(m0943,x) +--R +--R +--R (216) +--R 4 3 2 2 3 4 8 +--R (135c + 420b c + 450b c + 180b c + 15b )sinh(x) +--R + +--R 4 3 2 2 3 4 7 +--R (960c + 3120b c + 3600b c + 1680b c + 240b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (2940c + 10080b c + 12600b c + 6720b c + 1260b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R - 1260c - 1680b c + 840b c + 1680b c + 420b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (5040c + 18480b c + 25200b c + 15120b c + 3360b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 6720c - 10080b c + 3360b c + 10080b c + 3360b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (5250c + 21000b c + 31500b c + 21000b c + 5250b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 14700c - 25200b c + 4200b c + 25200b c + 10500b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 4 3 2 2 3 4 +--R 1890c - 840b c - 2940b c + 840b c + 1050b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (3360c + 15120b c + 25200b c + 18480b c + 5040b )cosh(x) +--R + +--R 4 3 3 4 3 +--R (- 16800c - 33600b c + 33600b c + 16800b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (6720c - 1680b c - 11760b c + 1680b c + 5040b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (1260c + 6720b c + 12600b c + 10080b c + 2940b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 10500c - 25200b c - 4200b c + 25200b c + 14700b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 4 2 2 4 2 4 3 +--R (8820c - 17640b c + 8820b )cosh(x) - 540c + 1200b c +--R + +--R 2 2 3 4 +--R - 360b c - 720b c + 420b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 7 +--R (240c + 1680b c + 3600b c + 3120b c + 960b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 3360c - 10080b c - 3360b c + 10080b c + 6720b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (5040c + 1680b c - 11760b c - 1680b c + 6720b )cosh(x) +--R + +--R 4 3 3 4 +--R (- 960c + 1920b c - 1920b c + 960b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 4 8 +--R (15c + 180b c + 450b c + 420b c + 135b )cosh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 420c - 1680b c - 840b c + 1680b c + 1260b )cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (1050c + 840b c - 2940b c - 840b c + 1890b )cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 420c + 720b c + 360b c - 1200b c + 540b )cosh(x) + 15c +--R + +--R 3 2 2 3 4 +--R - 60b c + 90b c - 60b c + 15b +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 5 4 2 3 3 2 4 9 +--R (15c + 60b c + 90b c + 60b c + 15b c)sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (120c + 495b c + 780b c + 570b c + 180b c + 15b )cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (420c + 1800b c + 3000b c + 2400b c + 900b c + 120b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R - 540c - 1200b c - 240b c + 1080b c + 780b c + 120b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (840c + 3780b c + 6720b c + 5880b c + 2520b c + 420b ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 3360c - 7980b c - 2520b c + 6720b c + 5880b c + 1260b ) +--R * +--R cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (1050c + 5040b c + 9660b c + 9240b c + 4410b c + 840b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 8820c - 22680b c - 10080b c + 17640b c + 18900b c +--R + +--R 5 +--R 5040b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R 1890c + 840b c - 3780b c - 1680b c + 1890b c + 840b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (840c + 4410b c + 9240b c + 9660b c + 5040b c + 1050b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 12600c - 35700b c - 21000b c + 25200b c + 33600b c +--R + +--R 5 +--R 10500b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (8400c + 5250b c - 16800b c - 10500b c + 8400b c + 5250b ) +--R * +--R cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (420c + 2520b c + 5880b c + 6720b c + 3780b c + 840b ) +--R * +--R 6 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 10500c - 33600b c - 25200b c + 21000b c + 35700b c +--R + +--R 5 +--R 12600b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 14700c + 12600b c - 29400b c - 25200b c + 14700b c +--R + +--R 5 +--R 12600b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R - 1260c + 1680b c + 1680b c - 2520b c - 420b c + 840b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (120c + 900b c + 2400b c + 3000b c + 1800b c + 420b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 5040c - 18900b c - 17640b c + 10080b c + 22680b c +--R + +--R 5 +--R 8820b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 12600c + 14700b c - 25200b c - 29400b c + 12600b c +--R + +--R 5 +--R 14700b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 3360c + 3780b c + 5880b c - 6720b c - 2520b c + 2940b ) +--R * +--R cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (15c + 180b c + 570b c + 780b c + 495b c + 120b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 1260c - 5880b c - 6720b c + 2520b c + 7980b c + 3360b ) +--R * +--R 6 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (5250c + 8400b c - 10500b c - 16800b c + 5250b c + 8400b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 2940c + 2520b c + 6720b c - 5880b c - 3780b c + 3360b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R 135c - 420b c + 330b c + 180b c - 345b c + 120b +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 9 +--R (15b c + 60b c + 90b c + 60b c + 15b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 120c - 780b c - 1080b c + 240b c + 1200b c + 540b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (840c + 1890b c - 1680b c - 3780b c + 840b c + 1890b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 3 +--R (- 840c + 420b c + 2520b c - 1680b c - 1680b c + 1260b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (120c - 345b c + 180b c + 330b c - 420b c + 135b )cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R + +--R 4 3 2 2 3 8 +--R (- 368c - 272b c - 352b c - 208b c)sinh(x) +--R + +--R 4 3 2 2 3 4 7 +--R (- 1744c - 3264b c - 2848b c - 1536b c - 208b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 3648c - 11776b c - 11488b c - 5504b c - 1184b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R 2784c + 416b c - 2544b c - 896b c + 240b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 4720c - 20608b c - 25952b c - 12992b c - 2928b ) +--R * +--R 3 +--R cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (11552c + 7712b c - 11616b c - 7712b c + 64b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 4400c - 20640b c - 33920b c - 20640b c - 4400b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (18608c + 25664b c - 15600b c - 24224b c - 4448b )cosh(x) +--R + +--R 4 3 2 2 3 +--R - 688c + 688b c + 688b c - 688b c +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 2928c - 12992b c - 25952b c - 20608b c - 4720b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 4 3 3 4 3 +--R (14112c + 35776b c - 35776b c - 14112b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 2064c + 1376b c + 2752b c - 1376b c - 688b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 1184c - 5504b c - 11488b c - 11776b c - 3648b )cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (4448c + 24224b c + 15600b c - 25664b c - 18608b )cosh(x) +--R + +--R 4 2 2 4 2 +--R (- 2064c + 4128b c - 2064b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 7 +--R (- 208c - 1536b c - 2848b c - 3264b c - 1744b )cosh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (- 64c + 7712b c + 11616b c - 7712b c - 11552b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 688c - 1376b c + 2752b c + 1376b c - 2064b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 8 +--R (- 208b c - 352b c - 272b c - 368b )cosh(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 240c + 896b c + 2544b c - 416b c - 2784b )cosh(x) +--R + +--R 3 2 2 3 4 4 +--R (- 688b c + 688b c + 688b c - 688b )cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 5 4 2 3 3 2 9 +--R (- 48c - 48b c - 72b c - 72b c )sinh(x) +--R + +--R 5 4 2 3 3 2 4 8 +--R (- 240c - 576b c - 696b c - 504b c - 144b c)cosh(x)sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 552c - 2232b c - 2976b c - 2016b c - 792b c - 72b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R 1504c + 864b c - 1088b c - 1104b c - 296b c + 120b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 840c - 4344b c - 7104b c - 5376b c - 2136b c - 360b ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (6880c + 8800b c - 4208b c - 8864b c - 2792b c + 184b )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 960c - 5040b c - 10272b c - 9312b c - 3888b c - 768b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (12896c + 27568b c - 304b c - 25760b c - 12952b c - 1448b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R - 2288c + 912b c + 3784b c - 1032b c - 1496b c + 120b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 768c - 3888b c - 9312b c - 10272b c - 5040b c - 960b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 12624c + 40448b c + 19008b c - 34192b c - 31272b c +--R + +--R 5 +--R - 6616b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 8240c - 224b c + 15688b c + 1240b c - 7448b c - 1016b ) +--R * +--R cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 360c - 2136b c - 5376b c - 7104b c - 4344b c - 840b ) +--R * +--R 6 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 6616c + 31272b c + 34192b c - 19008b c - 40448b c +--R + +--R 5 +--R - 12624b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 10872c - 7640b c + 23328b c + 13696b c - 12456b c +--R + +--R 5 +--R - 6056b +--R * +--R 2 +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 72c - 792b c - 2016b c - 2976b c - 2232b c - 552b ) +--R * +--R 7 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (1448c + 12952b c + 25760b c + 304b c - 27568b c - 12896b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R - 6056c - 12456b c + 13696b c + 23328b c - 7640b c +--R + +--R 5 +--R - 10872b +--R * +--R 3 +--R cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (- 144b c - 504b c - 696b c - 576b c - 240b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 184c + 2792b c + 8864b c + 4208b c - 8800b c - 6880b ) +--R * +--R 6 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 1016c - 7448b c + 1240b c + 15688b c - 224b c - 8240b ) +--R * +--R 4 +--R cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 4 5 9 +--R (- 72b c - 72b c - 48b c - 48b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 120c + 296b c + 1104b c + 1088b c - 864b c - 1504b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (120c - 1496b c - 1032b c + 3784b c + 912b c - 2288b )cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R / +--R 5 4 +--R (360c + 120b)sinh(x) + (1560c + 840b)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((2640c + 2160b)cosh(x) - 120c + 120b)sinh(x) +--R + +--R 3 2 +--R ((2160c + 2640b)cosh(x) + (- 360c + 360b)cosh(x))sinh(x) +--R + +--R 4 2 +--R ((840c + 1560b)cosh(x) + (- 360c + 360b)cosh(x) )sinh(x) +--R + +--R 5 3 +--R (120c + 360b)cosh(x) + (- 120c + 120b)cosh(x) +--R * +--R +---------+ +--R | 2 2 +--R \|- c + b +--R + +--R 2 6 2 2 5 +--R (120c + 120b c)sinh(x) + (600c + 720b c + 120b )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 4 +--R ((1200c + 1800b c + 600b )cosh(x) - 360c + 120b c + 240b )sinh(x) +--R + +--R 2 2 3 +--R (1200c + 2400b c + 1200b )cosh(x) +--R + +--R 2 2 +--R (- 1320c + 240b c + 1080b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 2 2 +--R ((600c + 1800b c + 1200b )cosh(x) + (- 1800c + 1800b )cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 +--R (120c + 720b c + 600b )cosh(x) +--R + +--R 2 2 3 +--R (- 1080c - 240b c + 1320b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (120b c + 120b )cosh(x) + (- 240c - 120b c + 360b )cosh(x) +--R * +--R ROOT +--R +---------+ +--R | 2 2 2 +--R (2sinh(x) + 2cosh(x))\|- c + b + (c + b)sinh(x) +--R + +--R 2 +--R (2c + 2b)cosh(x)sinh(x) + (c + b)cosh(x) - c + b +--R / +--R 2sinh(x) + 2cosh(x) +--R * +--R +------------------------------------+ +--R | +---------+ +--R | | 2 2 +--R \|\|- c + b + c sinh(x) + b cosh(x) +--R Type: Expression Integer +--E 220 + +--S 221 of 518 +t0944:= 1/(a+b*cosh(x)+c*sinh(x))^2 +--R +--R +--R (217) +--R 1 +--R -------------------------------------------------------------------------- +--R 2 2 2 2 2 +--R c sinh(x) + (2b c cosh(x) + 2a c)sinh(x) + b cosh(x) + 2a b cosh(x) + a +--R Type: Expression Integer +--E 221 + +--S 222 of 518 +r0944:= -2*a*atanh((c-(a-b)*tanh(1/2*x))/(a^2-b^2+c^2)^(1/2))/_ + (a^2-b^2+c^2)^(3/2)-(c*cosh(x)+b*sinh(x))/_ + (a^2-b^2+c^2)/(a+b*cosh(x)+c*sinh(x)) +--R +--R +--R (218) +--R x +--R (b - a)tanh(-) + c +--R 2 2 +--R (- 2a c sinh(x) - 2a b cosh(x) - 2a )atanh(------------------) +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R +------------+ +--R | 2 2 2 +--R (- b sinh(x) - c cosh(x))\|c - b + a +--R / +--R 3 2 2 2 3 2 2 2 +--R (c + (- b + a )c)sinh(x) + (b c - b + a b)cosh(x) + a c - a b +--R + +--R 3 +--R a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R Type: Expression Integer +--E 222 + +--S 223 of 518 +a0944:= integrate(t0944,x) +--R +--R +--R (219) +--R [ +--R 2 2 +--R (a c + a b)sinh(x) + ((2a c + 2a b)cosh(x) + 2a )sinh(x) +--R + +--R 2 2 +--R (a c + a b)cosh(x) + 2a cosh(x) - a c + a b +--R * +--R log +--R 2 2 2 +--R (c + 2b c + b )sinh(x) +--R + +--R 2 2 +--R ((2c + 4b c + 2b )cosh(x) + 2a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (c + 2b c + b )cosh(x) + (2a c + 2a b)cosh(x) + c - b +--R + +--R 2 +--R 2a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 3 2 2 2 3 2 +--R (- 2c - 2b c + (2b - 2a )c + 2b - 2a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 2c - 2b c + (2b - 2a )c + 2b - 2a b)cosh(x) - 2a c +--R + +--R 2 3 +--R 2a b - 2a +--R / +--R 2 +--R (c + b)sinh(x) + ((2c + 2b)cosh(x) + 2a)sinh(x) +--R + +--R 2 +--R (c + b)cosh(x) + 2a cosh(x) - c + b +--R + +--R +------------+ +--R | 2 2 2 +--R (2a sinh(x) + 2a cosh(x) - 2c + 2b)\|c - b + a +--R / +--R 3 2 2 2 3 2 2 +--R (c + b c + (- b + a )c - b + a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (2c + 2b c + (- 2b + 2a )c - 2b + 2a b)cosh(x) + 2a c +--R + +--R 2 3 +--R - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (c + b c + (- b + a )c - b + a b)cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 2 +--R (2a c - 2a b + 2a )cosh(x) - c + b c + (b - a )c - b + a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R , +--R +--R 2 2 +--R (- 2a c - 2a b)sinh(x) + ((- 4a c - 4a b)cosh(x) - 4a )sinh(x) +--R + +--R 2 2 +--R (- 2a c - 2a b)cosh(x) - 4a cosh(x) + 2a c - 2a b +--R * +--R +--------------+ +--R | 2 2 2 +--R ((c + b)sinh(x) + (c + b)cosh(x) + a)\|- c + b - a +--R atan(------------------------------------------------------) +--R 2 2 2 +--R c - b + a +--R + +--R +--------------+ +--R | 2 2 2 +--R (2a sinh(x) + 2a cosh(x) - 2c + 2b)\|- c + b - a +--R / +--R 3 2 2 2 3 2 2 +--R (c + b c + (- b + a )c - b + a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (2c + 2b c + (- 2b + 2a )c - 2b + 2a b)cosh(x) + 2a c +--R + +--R 2 3 +--R - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (c + b c + (- b + a )c - b + a b)cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 2 +--R (2a c - 2a b + 2a )cosh(x) - c + b c + (b - a )c - b + a b +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 223 + +--S 224 of 518 +m0944a:= a0944.1-r0944 +--R +--R +--R (220) +--R 2 3 +--R (a c + a b c)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((2a c + 3a b c + a b )cosh(x) + 3a c + a b)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (a c + 3a b c + 2a b )cosh(x) + (4a c + 4a b)cosh(x) - a c +--R + +--R 3 +--R a b c + 2a +--R * +--R sinh(x) +--R + +--R 2 3 2 2 2 +--R (a b c + a b )cosh(x) + (a c + 3a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- a b c + a b + 2a )cosh(x) - a c + a b +--R * +--R log +--R 2 2 2 +--R (c + 2b c + b )sinh(x) +--R + +--R 2 2 +--R ((2c + 4b c + 2b )cosh(x) + 2a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (c + 2b c + b )cosh(x) + (2a c + 2a b)cosh(x) + c - b +--R + +--R 2 +--R 2a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 3 2 2 2 3 2 +--R (- 2c - 2b c + (2b - 2a )c + 2b - 2a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 2c - 2b c + (2b - 2a )c + 2b - 2a b)cosh(x) - 2a c +--R + +--R 2 3 +--R 2a b - 2a +--R / +--R 2 +--R (c + b)sinh(x) + ((2c + 2b)cosh(x) + 2a)sinh(x) +--R + +--R 2 +--R (c + b)cosh(x) + 2a cosh(x) - c + b +--R + +--R 2 3 +--R (2a c + 2a b c)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((4a c + 6a b c + 2a b )cosh(x) + 6a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (2a c + 6a b c + 4a b )cosh(x) + (8a c + 8a b)cosh(x) - 2a c +--R + +--R 3 +--R 2a b c + 4a +--R * +--R sinh(x) +--R + +--R 2 3 2 2 2 +--R (2a b c + 2a b )cosh(x) + (2a c + 6a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 2a b c + 2a b + 4a )cosh(x) - 2a c + 2a b +--R * +--R x +--R (b - a)tanh(-) + c +--R 2 +--R atanh(------------------) +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 2 3 2 2 2 +--R (b c + b )sinh(x) + ((c + 3b c + 2b )cosh(x) + 2a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2c + 3b c + b )cosh(x) + (4a c + 4a b)cosh(x) - 2c + b c + b +--R + +--R 2 +--R 2a +--R * +--R sinh(x) +--R + +--R 2 3 2 +--R (c + b c)cosh(x) + (2a c + 2a b)cosh(x) +--R + +--R 2 2 2 +--R (- c - b c + 2b + 2a )cosh(x) - 2a c + 2a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R / +--R 4 3 2 2 2 3 2 3 +--R (c + b c + (- b + a )c + (- b + a b)c)sinh(x) +--R + +--R 4 3 2 2 2 3 2 4 2 2 +--R (2c + 3b c + (- b + 2a )c + (- 3b + 3a b)c - b + a b )cosh(x) +--R + +--R 3 2 2 3 3 3 +--R 3a c + a b c + (- 3a b + 3a )c - a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 2 3 2 4 2 2 2 +--R (c + 3b c + (b + a )c + (- 3b + 3a b)c - 2b + 2a b )cosh(x) +--R + +--R 3 2 2 3 3 3 4 +--R (4a c + 4a b c + (- 4a b + 4a )c - 4a b + 4a b)cosh(x) - c +--R + +--R 3 2 2 2 3 2 2 2 4 +--R b c + (b + a )c + (- b + a b)c - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 2 3 2 4 2 2 3 +--R (b c + b c + (- b + a b)c - b + a b )cosh(x) +--R + +--R 3 2 2 3 3 3 2 +--R (a c + 3a b c + (- a b + a )c - 3a b + 3a b)cosh(x) +--R + +--R 3 2 2 2 3 2 4 2 2 4 3 +--R (- b c + (b + 2a )c + (b - a b)c - b - a b + 2a )cosh(x) - a c +--R + +--R 2 2 3 3 3 +--R a b c + (a b - a )c - a b + a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R Type: Expression Integer +--E 224 + +--S 225 of 518 +d0944a:= D(m0944a,x) +--R +--R +--R (221) +--R 4 2 3 2 2 4 3 5 4 6 +--R (b c + 2b c + a b c + (- 2b + 2a b )c - b + a b )sinh(x) +--R + +--R 4 2 3 2 2 4 3 5 +--R 4b c + (8b + 2a b)c + 8a b c + (- 8b + 10a b )c - 4b +--R + +--R 4 +--R 4a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 +--R (5a b + a )c + (6a b + 2a b)c + (- 3a b + 5a b )c - 4a b +--R + +--R 2 3 +--R 4a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (5b + a)c + (10b + 10a b)c + 23a b c + (- 10b + 20a b )c +--R + +--R 5 4 +--R - 5b + 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (16a b + 4a )c + (21a b + 17a b)c + (- 6a b + 26a b )c +--R + +--R 4 2 3 +--R - 11a b + 13a b +--R * +--R cosh(x) +--R + +--R 4 2 2 3 2 2 2 3 5 +--R (2b - 4a)c + (2a b + 12a b + a )c + (4a b + 6a b)c - 2b +--R + +--R 4 2 3 3 2 +--R 2a b - 4a b + 5a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4a c + 20a b c + 32a b c + 20a b c + 4a b )cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (14a b + 10a )c + (24a b + 44a b)c + (6a b + 50a b )c +--R + +--R 4 2 3 +--R - 4a b + 16a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (4b - 8a)c + (8b - 12a b)c + (4a b + 28a b + 8a )c +--R + +--R 4 3 2 2 3 5 4 2 3 +--R (- 8b + 12a b + 24a b + 24a b)c - 4b + 4a b - 4a b +--R + +--R 3 2 +--R 16a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 3 2 2 3 4 +--R (2a b - 10a )c + 4a b c + (- 2a b + 6a b + 12a b)c - 4a b +--R + +--R 2 3 4 +--R 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 2 2 +--R (- 5b + 6a)c + (- 10b + 20a b)c + 23a b c +--R + +--R 4 3 5 4 +--R (10b + 10a b )c + 5b + a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (- 4a b + 16a )c + (6a b + 50a b)c + (24a b + 44a b )c +--R + +--R 4 2 3 +--R 14a b + 10a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 2 3 2 3 2 +--R (4b - 6a)c + (16b - 24a b)c + (16a b + 18a )c +--R + +--R 4 3 2 2 3 5 4 2 3 +--R (- 16b + 24a b + 40a b + 36a b)c - 4b + 6a b + 16a b +--R + +--R 3 2 +--R 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 2 +--R (8a b - 20a )c + (10a b - 18a b)c +--R + +--R 3 2 2 3 4 4 2 3 3 2 +--R (- 8a b + 24a b + 24a b + 4a )c - 10a b + 14a b + 12a b +--R + +--R 4 +--R 8a b +--R * +--R cosh(x) +--R + +--R 4 2 3 2 3 2 4 3 2 2 3 +--R b c - 2b c + (a b - 10a )c + (2b - 2a b + 4a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 +--R - b + a b - 4a b + 6a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (- 4b + 4a)c + (- 8b + 10a b)c + 8a b c + (8b + 2a b )c +--R + +--R 5 +--R 4b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (- 11a b + 13a )c + (- 6a b + 26a b)c + (21a b + 17a b )c +--R + +--R 4 2 3 +--R 16a b + 4a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (4b - 4a)c + (8b - 12a b)c + (- 4a b - 4a b + 16a )c +--R + +--R 4 3 2 2 3 5 4 2 3 +--R (- 8b + 12a b + 24a b + 24a b)c - 4b + 8a b + 28a b +--R + +--R 3 2 +--R 8a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 3 2 2 2 +--R (10a b - 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2a)c + (4b + 4a b + 11a b + 11a )c + (10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 2b - 2a b - 10a b - 10a b + 13a b + 13a )c +--R + +--R 2 4 3 3 4 2 5 2 5 3 4 4 3 5 2 +--R (- 10a b - 10a b + 10a b + 10a b)c - a b - a b + a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (4b + 4a)c + (20b + 20a b)c + (28b + 28a b + 4a b + 4a )c +--R + +--R 2 2 3 3 5 4 2 3 3 2 2 +--R (20a b + 20a b)c + (- 28b - 28a b + 32a b + 32a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 20b - 20a b + 20a b + 20a b )c - 4b - 4a b + 4a b + 4a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (24a b + 24a )c + (68a b + 68a b)c +--R + +--R 3 2 2 3 4 3 +--R (32a b + 32a b + 24a b + 24a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 56a b - 56a b + 68a b + 68a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 56a b - 56a b + 56a b + 56a b )c - 12a b - 12a b + 12a b +--R + +--R 4 3 +--R 12a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (- 4b - 4a)c + (- 4b - 4a b)c + (8b + 8a b + 32a b + 32a )c +--R + +--R 4 3 2 2 3 3 +--R (8b + 8a b + 44a b + 44a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 4b - 4a b - 20a b - 20a b + 36a b + 36a )c +--R + +--R 6 5 2 4 3 3 4 2 5 2 5 +--R (- 4b - 4a b - 44a b - 44a b + 48a b + 48a b)c - 12a b +--R + +--R 3 4 4 3 5 2 +--R - 12a b + 12a b + 12a b +--R * +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (- 8a b - 8a )c + (4a b + 4a b)c +--R + +--R 3 2 2 3 4 3 4 2 3 3 2 4 2 +--R (12a b + 12a b + 4a b + 4a )c + (- 4a b - 4a b + 8a b + 8a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 3 4 4 3 +--R (- 4a b - 4a b - 8a b - 8a b + 12a b + 12a )c - 4a b - 4a b +--R + +--R 5 2 6 +--R 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (b + a)c + (10b + 10a b)c + (22b + 22a b + a b + a )c +--R + +--R 4 3 2 2 3 3 +--R (10b + 10a b + 10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 17b - 17a b + 23a b + 23a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 20b - 20a b + 20a b + 20a b )c - 6b - 6a b + 6a b + 6a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (12a b + 12a )c + (56a b + 56a b)c +--R + +--R 3 2 2 3 4 3 +--R (56a b + 56a b + 12a b + 12a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 32a b - 32a b + 56a b + 56a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 68a b - 68a b + 68a b + 68a b )c - 24a b - 24a b + 24a b +--R + +--R 4 3 +--R 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (- 2b - 2a)c + (- 8b - 8a b)c + (2b + 2a b + 32a b + 32a )c +--R + +--R 4 3 2 2 3 3 +--R (16b + 16a b + 68a b + 68a b)c +--R + +--R 5 4 4 5 2 +--R (2b + 2a b + 34a b + 34a )c +--R + +--R 6 5 2 4 3 3 4 2 5 7 6 +--R (- 8b - 8a b - 68a b - 68a b + 76a b + 76a b)c - 2b - 2a b +--R + +--R 2 5 3 4 4 3 5 2 +--R - 32a b - 32a b + 34a b + 34a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (- 12a b - 12a )c + (- 8a b - 8a b)c +--R + +--R 3 2 2 3 4 3 +--R (28a b + 28a b + 16a b + 16a )c +--R + +--R 4 2 3 3 2 4 2 +--R (12a b + 12a b + 12a b + 12a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 16a b - 16a b - 12a b - 12a b + 28a b + 28a )c - 4a b +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 4a b - 16a b - 16a b + 20a b + 20a b +--R * +--R cosh(x) +--R + +--R 6 2 5 2 3 4 +--R (b + a)c + (- 2b - 2a b)c + (- 9a b - 9a )c +--R + +--R 4 3 2 2 3 3 +--R (2b + 2a b + 6a b + 6a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- b - a b + 13a b + 13a b - 6a b - 6a )c +--R + +--R 2 4 3 3 4 2 5 2 5 3 4 4 3 5 2 +--R (- 8a b - 8a b + 8a b + 8a b)c - 2a b - 2a b - 2a b - 2a b +--R + +--R 6 7 +--R 4a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 4 4 3 2 2 3 3 +--R (2b + 2a b)c + (8b + 8a b )c + (8b + 8a b + 2a b + 2a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 4b - 4a b + 8a b + 8a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 10b - 10a b + 10a b + 10a b )c - 4b - 4a b + 4a b + 4a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (2a b + 2a )c + (20a b + 20a b)c +--R + +--R 3 2 2 3 4 3 3 2 4 2 +--R (36a b + 36a b + 2a b + 2a )c + (20a b + 20a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 38a b - 38a b + 38a b + 38a b )c - 20a b - 20a b + 20a b +--R + +--R 4 3 +--R 20a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 5 3 2 2 3 4 +--R (- 4b - 4a b)c + (- 4b - 4a b + 12a b + 12a )c +--R + +--R 4 3 2 2 3 3 +--R (8b + 8a b + 44a b + 44a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (8b + 8a b + 20a b + 20a b + 12a b + 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 7 6 +--R (- 4b - 4a b - 44a b - 44a b + 48a b + 48a b)c - 4b - 4a b +--R + +--R 2 5 3 4 4 3 5 2 +--R - 32a b - 32a b + 36a b + 36a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (- 4a b - 4a )c + (- 16a b - 16a b)c +--R + +--R 3 2 2 3 4 3 +--R (12a b + 12a b + 16a b + 16a )c +--R + +--R 4 2 3 3 2 4 2 +--R (28a b + 28a b + 12a b + 12a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 8a b - 8a b - 12a b - 12a b + 20a b + 20a )c - 12a b +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 12a b - 16a b - 16a b + 28a b + 28a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 5 3 2 2 3 4 +--R (2b + 2a b)c + (- 4b - 4a b - 12a b - 12a )c +--R + +--R 2 2 3 3 5 4 2 3 3 2 4 5 2 +--R (2a b + 2a b)c + (4b + 4a b + 20a b + 20a b - 4a b - 4a )c +--R + +--R 6 5 2 4 3 3 2 5 3 4 4 3 +--R (- 2b - 2a b + 2a b + 2a b )c - 12a b - 12a b + 4a b +--R + +--R 5 2 6 7 +--R 4a b + 8a b + 8a +--R * +--R cosh(x) +--R + +--R 2 5 2 2 4 3 4 3 +--R (2a b + 2a )c + (- 4a b - 4a b)c + (- 2a b - 2a )c +--R + +--R 4 2 3 2 5 2 4 3 3 4 2 5 6 +--R (4a b + 4a b )c + (- 2a b - 2a b + 6a b + 6a b - 4a b - 4a )c +--R + +--R 3 4 4 3 5 2 6 +--R - 4a b - 4a b + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 3 3 2 2 +--R (b + a b )c + (2b + 2a b )c + (a b + a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 2b - 2a b + 2a b + 2a b )c - b - a b + a b + a b +--R * +--R 6 +--R cosh(x) +--R + +--R 2 2 4 3 2 2 3 +--R (2a b + 2a b)c + (8a b + 8a b )c +--R + +--R 4 2 3 3 2 4 2 5 2 4 3 3 4 2 +--R (4a b + 4a b + 2a b + 2a b)c + (- 8a b - 8a b + 8a b + 8a b )c +--R + +--R 6 2 5 3 4 4 3 +--R - 6a b - 6a b + 6a b + 6a b +--R * +--R 5 +--R cosh(x) +--R + +--R 3 2 2 3 4 2 2 3 3 +--R (- 2b - 2a b + a b + a )c + (10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (4b + 4a b + 10a b + 10a b + a b + a )c +--R + +--R 2 4 3 3 4 2 5 7 6 2 5 3 4 +--R (- 10a b - 10a b + 10a b + 10a b)c - 2b - 2a b - 11a b - 11a b +--R + +--R 4 3 5 2 +--R 13a b + 13a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 2 4 3 2 2 3 4 3 +--R (- 4a b - 4a b)c + (- 4a b - 4a b + 4a b + 4a )c +--R + +--R 4 2 3 3 2 4 2 +--R (12a b + 12a b + 8a b + 8a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 6 2 5 3 4 +--R (4a b + 4a b - 8a b - 8a b + 4a b + 4a )c - 8a b - 8a b - 4a b +--R + +--R 4 3 5 2 6 +--R - 4a b + 12a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 3 3 +--R (b + a b - 2a b - 2a )c + (- 2b - 2a b - 8a b - 8a b)c +--R + +--R 2 3 3 2 4 5 2 +--R (13a b + 13a b + 2a b + 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 7 6 2 5 +--R (2b + 2a b + 6a b + 6a b - 8a b - 8a b)c - b - a b - 9a b +--R + +--R 3 4 4 3 5 2 6 7 +--R - 9a b + 6a b + 6a b + 4a b + 4a +--R * +--R 2 +--R cosh(x) +--R + +--R 2 2 4 3 2 2 3 4 3 +--R (2a b + 2a b)c + (- 4a b - 4a b - 4a b - 4a )c +--R + +--R 3 2 4 2 5 2 4 5 6 6 2 5 +--R (6a b + 6a b)c + (4a b + 4a b - 4a b - 4a )c - 2a b - 2a b +--R + +--R 3 4 4 3 5 2 6 +--R - 2a b - 2a b + 4a b + 4a b +--R * +--R cosh(x) +--R + +--R 2 3 4 2 2 3 3 4 5 2 +--R (a b + a )c + (- 2a b - 2a b)c + (a b + a )c +--R + +--R 2 4 3 3 4 2 5 2 5 3 4 4 3 5 2 +--R (2a b + 2a b - 2a b - 2a b)c - a b - a b + a b + a b +--R Type: Expression Integer +--E 225 + +--S 226 of 518 +m0944b:= a0944.2-r0944 +--R +--R +--R (222) +--R 2 3 +--R (2a c + 2a b c)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((4a c + 6a b c + 2a b )cosh(x) + 6a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (2a c + 6a b c + 4a b )cosh(x) + (8a c + 8a b)cosh(x) - 2a c +--R + +--R 3 +--R 2a b c + 4a +--R * +--R sinh(x) +--R + +--R 2 3 2 2 2 +--R (2a b c + 2a b )cosh(x) + (2a c + 6a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 2a b c + 2a b + 4a )cosh(x) - 2a c + 2a b +--R * +--R x +--R +--------------+ (b - a)tanh(-) + c +--R | 2 2 2 2 +--R \|- c + b - a atanh(------------------) +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 2 3 +--R (- 2a c - 2a b c)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 4a c - 6a b c - 2a b )cosh(x) - 6a c - 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 2a c - 6a b c - 4a b )cosh(x) + (- 8a c - 8a b)cosh(x) +--R + +--R 2 3 +--R 2a c - 2a b c - 4a +--R * +--R sinh(x) +--R + +--R 2 3 2 2 2 +--R (- 2a b c - 2a b )cosh(x) + (- 2a c - 6a b)cosh(x) +--R + +--R 2 3 2 2 +--R (2a b c - 2a b - 4a )cosh(x) + 2a c - 2a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R * +--R +--------------+ +--R | 2 2 2 +--R ((c + b)sinh(x) + (c + b)cosh(x) + a)\|- c + b - a +--R atan(------------------------------------------------------) +--R 2 2 2 +--R c - b + a +--R + +--R 2 3 2 2 2 +--R (b c + b )sinh(x) + ((c + 3b c + 2b )cosh(x) + 2a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2c + 3b c + b )cosh(x) + (4a c + 4a b)cosh(x) - 2c + b c + b +--R + +--R 2 +--R 2a +--R * +--R sinh(x) +--R + +--R 2 3 2 +--R (c + b c)cosh(x) + (2a c + 2a b)cosh(x) +--R + +--R 2 2 2 +--R (- c - b c + 2b + 2a )cosh(x) - 2a c + 2a b +--R * +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R \|- c + b - a \|c - b + a +--R / +--R 4 3 2 2 2 3 2 3 +--R (c + b c + (- b + a )c + (- b + a b)c)sinh(x) +--R + +--R 4 3 2 2 2 3 2 4 2 2 +--R (2c + 3b c + (- b + 2a )c + (- 3b + 3a b)c - b + a b )cosh(x) +--R + +--R 3 2 2 3 3 3 +--R 3a c + a b c + (- 3a b + 3a )c - a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 2 3 2 4 2 2 2 +--R (c + 3b c + (b + a )c + (- 3b + 3a b)c - 2b + 2a b )cosh(x) +--R + +--R 3 2 2 3 3 3 4 +--R (4a c + 4a b c + (- 4a b + 4a )c - 4a b + 4a b)cosh(x) - c +--R + +--R 3 2 2 2 3 2 2 2 4 +--R b c + (b + a )c + (- b + a b)c - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 2 3 2 4 2 2 3 +--R (b c + b c + (- b + a b)c - b + a b )cosh(x) +--R + +--R 3 2 2 3 3 3 2 +--R (a c + 3a b c + (- a b + a )c - 3a b + 3a b)cosh(x) +--R + +--R 3 2 2 2 3 2 4 2 2 4 3 +--R (- b c + (b + 2a )c + (b - a b)c - b - a b + 2a )cosh(x) - a c +--R + +--R 2 2 3 3 3 +--R a b c + (a b - a )c - a b + a b +--R * +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R \|- c + b - a \|c - b + a +--R Type: Expression Integer +--E 226 + +--S 227 of 518 +d0944b:= D(m0944b,x) +--R +--R +--R (223) +--R 4 2 3 2 2 4 3 5 4 6 +--R (b c + 2b c + a b c + (- 2b + 2a b )c - b + a b )sinh(x) +--R + +--R 4 2 3 2 2 4 3 5 +--R 4b c + (8b + 2a b)c + 8a b c + (- 8b + 10a b )c - 4b +--R + +--R 4 +--R 4a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 +--R (5a b + a )c + (6a b + 2a b)c + (- 3a b + 5a b )c - 4a b +--R + +--R 2 3 +--R 4a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (5b + a)c + (10b + 10a b)c + 23a b c + (- 10b + 20a b )c +--R + +--R 5 4 +--R - 5b + 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (16a b + 4a )c + (21a b + 17a b)c + (- 6a b + 26a b )c +--R + +--R 4 2 3 +--R - 11a b + 13a b +--R * +--R cosh(x) +--R + +--R 4 2 2 3 2 2 2 3 5 +--R (2b - 4a)c + (2a b + 12a b + a )c + (4a b + 6a b)c - 2b +--R + +--R 4 2 3 3 2 +--R 2a b - 4a b + 5a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4a c + 20a b c + 32a b c + 20a b c + 4a b )cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (14a b + 10a )c + (24a b + 44a b)c + (6a b + 50a b )c +--R + +--R 4 2 3 +--R - 4a b + 16a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (4b - 8a)c + (8b - 12a b)c + (4a b + 28a b + 8a )c +--R + +--R 4 3 2 2 3 5 4 2 3 +--R (- 8b + 12a b + 24a b + 24a b)c - 4b + 4a b - 4a b +--R + +--R 3 2 +--R 16a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 3 2 2 3 4 +--R (2a b - 10a )c + 4a b c + (- 2a b + 6a b + 12a b)c - 4a b +--R + +--R 2 3 4 +--R 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 2 2 +--R (- 5b + 6a)c + (- 10b + 20a b)c + 23a b c +--R + +--R 4 3 5 4 +--R (10b + 10a b )c + 5b + a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (- 4a b + 16a )c + (6a b + 50a b)c + (24a b + 44a b )c +--R + +--R 4 2 3 +--R 14a b + 10a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 2 3 2 3 2 +--R (4b - 6a)c + (16b - 24a b)c + (16a b + 18a )c +--R + +--R 4 3 2 2 3 5 4 2 3 +--R (- 16b + 24a b + 40a b + 36a b)c - 4b + 6a b + 16a b +--R + +--R 3 2 +--R 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 2 +--R (8a b - 20a )c + (10a b - 18a b)c +--R + +--R 3 2 2 3 4 4 2 3 3 2 +--R (- 8a b + 24a b + 24a b + 4a )c - 10a b + 14a b + 12a b +--R + +--R 4 +--R 8a b +--R * +--R cosh(x) +--R + +--R 4 2 3 2 3 2 4 3 2 2 3 +--R b c - 2b c + (a b - 10a )c + (2b - 2a b + 4a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 +--R - b + a b - 4a b + 6a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (- 4b + 4a)c + (- 8b + 10a b)c + 8a b c + (8b + 2a b )c +--R + +--R 5 +--R 4b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (- 11a b + 13a )c + (- 6a b + 26a b)c + (21a b + 17a b )c +--R + +--R 4 2 3 +--R 16a b + 4a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (4b - 4a)c + (8b - 12a b)c + (- 4a b - 4a b + 16a )c +--R + +--R 4 3 2 2 3 5 4 2 3 +--R (- 8b + 12a b + 24a b + 24a b)c - 4b + 8a b + 28a b +--R + +--R 3 2 +--R 8a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 3 2 2 2 +--R (10a b - 14a )c + (8a b - 24a b)c +--R + +--R 3 2 2 3 4 4 2 3 3 2 +--R (- 10a b + 18a b + 12a b + 8a )c - 8a b + 20a b + 24a b +--R + +--R 4 +--R 4a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 2 2 3 2 3 2 3 3 2 +--R 2a b c + (- 4a b + 4a b - 16a )c + 2a b c - 4a b + 16a b +--R + +--R 4 +--R 8a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 4 +--R (a b + a )c + (- 2a b - 2a b)c + (a b + a b - 4a )c + 4a b +--R * +--R sinh(x) +--R + +--R 4 2 3 2 2 4 5 6 +--R ((- b + a)c + (- 2b + 2a b)c + a b c + 2b c + b )cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 +--R (- 4a b + 4a )c + (- 3a b + 5a b)c + (6a b + 2a b )c + 5a b +--R + +--R 2 3 +--R a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 2 2 3 2 2 2 3 5 +--R (2b - 2a)c + (- 2a b - 4a b + 5a )c + (4a b + 6a b)c - 2b +--R + +--R 4 2 3 3 2 +--R 4a b + 12a b + a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 4 4 +--R (4a b - 4a )c + (2a b - 6a b)c + (- 4a b + 4a )c - 2a b +--R + +--R 2 3 3 2 +--R 10a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (- b + a)c + (2b - 2a b)c + (a b + 4a b - 6a )c +--R + +--R 4 2 2 3 5 3 2 4 +--R (- 2b - 4a b - 4a b)c + b + 10a b + 4a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 2 2 3 2 2 4 4 2 3 4 +--R ((a b + a b)c + (- 2a b - 2a b - 4a )c + a b + a b + 4a b) +--R * +--R cosh(x) +--R + +--R 3 2 3 3 2 +--R a c - 2a b c + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 4 3 2 4 6 +--R (2c + 4b c - 4b c - 2b c)sinh(x) +--R + +--R 5 4 3 2 4 4 3 +--R (8c + 16b c - 16b c - 8b c)cosh(x) + 10a c + 12a b c +--R + +--R 2 2 3 +--R - 6a b c - 8a b c +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 4 2 +--R (10c + 20b c - 20b c - 10b c)cosh(x) +--R + +--R 4 3 2 2 3 5 2 3 +--R (32a c + 42a b c - 12a b c - 22a b c)cosh(x) + 4c + 24a c +--R + +--R 2 2 4 2 2 +--R 8a b c + (- 4b - 8a b )c +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 2 +--R (28a c + 48a b c + 12a b c - 8a b c)cosh(x) +--R + +--R 5 4 2 3 3 2 2 4 2 2 +--R (8c + 16b c + 56a c + (- 16b + 48a b)c + (- 8b - 8a b )c) +--R * +--R cosh(x) +--R + +--R 4 3 2 3 2 3 +--R 4a c + 8a b c + (- 4a b + 24a )c - 8a b c +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 4 4 +--R (- 10c - 20b c + 20b c + 10b c)cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 8a c + 12a b c + 48a b c + 28a b c)cosh(x) +--R + +--R 5 4 2 3 3 2 2 +--R 8c + 32b c + 32a c + (- 32b + 80a b)c +--R + +--R 4 2 2 +--R (- 8b + 32a b )c +--R * +--R 2 +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 +--R (16a c + 20a b c + (- 16a b + 48a )c + (- 20a b + 24a b)c) +--R * +--R cosh(x) +--R + +--R 5 4 3 2 2 4 2 2 4 +--R 2c - 4b c + (4b + 8a b)c + (- 2b - 8a b + 8a )c +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 4 5 +--R (- 8c - 16b c + 16b c + 8b c)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 22a c - 12a b c + 42a b c + 32a b c)cosh(x) +--R + +--R 5 4 2 3 3 2 2 4 2 2 +--R (8c + 16b c - 8a c + (- 16b + 48a b)c + (- 8b + 56a b )c) +--R * +--R 3 +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 +--R (20a c + 16a b c + (- 20a b + 24a )c + (- 16a b + 48a b)c) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 4 4 3 2 2 +--R (8a c + (- 8a b + 16a )c)cosh(x) + 2a c - 4a b c + 2a b c +--R * +--R sinh(x) +--R + +--R 5 4 3 2 4 6 +--R (- 2c - 4b c + 4b c + 2b c)cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 8a c - 6a b c + 12a b c + 10a b c)cosh(x) +--R + +--R 5 2 3 2 2 4 2 2 4 +--R (4c - 8a c + 8a b c + (- 4b + 24a b )c)cosh(x) +--R + +--R 4 3 2 2 3 3 3 +--R (8a c + 4a b c - 8a b c + (- 4a b + 24a b)c)cosh(x) +--R + +--R 5 4 2 3 3 2 2 4 4 2 +--R (- 2c + 4b c + 8a c + (- 4b - 8a b)c + (2b + 8a )c)cosh(x) +--R + +--R 3 2 2 3 +--R (2a b c - 4a b c + 2a b c)cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 2 3 2 2 4 3 5 4 6 +--R (b c + 2b c - a b c + (- 2b - 2a b )c - b - a b )sinh(x) +--R + +--R 4 2 3 2 2 4 3 5 +--R 4b c + (8b - 2a b)c - 8a b c + (- 8b - 10a b )c - 4b +--R + +--R 4 +--R - 4a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 2 3 +--R (5a b - a )c + (6a b - 2a b)c + (- 3a b - 5a b )c - 4a b - 4a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (5b - a)c + (10b - 10a b)c - 23a b c + (- 10b - 20a b )c +--R + +--R 5 4 +--R - 5b - 6a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (16a b - 4a )c + (21a b - 17a b)c + (- 6a b - 26a b )c +--R + +--R 4 2 3 +--R - 11a b - 13a b +--R * +--R cosh(x) +--R + +--R 4 2 2 3 2 2 2 3 5 +--R (2b + 4a)c + (- 2a b + 12a b - a )c + (4a b - 6a b)c - 2b +--R + +--R 4 2 3 3 2 +--R - 2a b - 4a b - 5a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 4a c - 20a b c - 32a b c - 20a b c - 4a b )cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 +--R (14a b - 10a )c + (24a b - 44a b)c + (6a b - 50a b )c - 4a b +--R + +--R 2 3 +--R - 16a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (4b + 8a)c + (8b + 12a b)c + (- 4a b + 28a b - 8a )c +--R + +--R 4 3 2 2 3 5 4 2 3 3 2 +--R (- 8b - 12a b + 24a b - 24a b)c - 4b - 4a b - 4a b - 16a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 3 2 2 3 4 +--R (2a b + 10a )c + 4a b c + (- 2a b - 6a b + 12a b)c - 4a b +--R + +--R 2 3 4 +--R - 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (- 5b - 6a)c + (- 10b - 20a b)c - 23a b c + (10b - 10a b )c +--R + +--R 5 4 +--R 5b - a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (- 4a b - 16a )c + (6a b - 50a b)c + (24a b - 44a b )c +--R + +--R 4 2 3 +--R 14a b - 10a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 2 3 2 3 2 +--R (4b + 6a)c + (16b + 24a b)c + (16a b - 18a )c +--R + +--R 4 3 2 2 3 5 4 2 3 3 2 +--R (- 16b - 24a b + 40a b - 36a b)c - 4b - 6a b + 16a b - 18a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 3 2 2 2 +--R (8a b + 20a )c + (10a b + 18a b)c +--R + +--R 3 2 2 3 4 4 2 3 3 2 4 +--R (- 8a b - 24a b + 24a b - 4a )c - 10a b - 14a b + 12a b - 8a b +--R * +--R cosh(x) +--R + +--R 4 2 3 2 3 2 4 3 2 2 3 5 +--R b c - 2b c + (- a b + 10a )c + (2b + 2a b + 4a b - 4a b)c - b +--R + +--R 4 2 3 3 2 4 +--R - a b - 4a b - 6a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (- 4b - 4a)c + (- 8b - 10a b)c - 8a b c + (8b - 2a b )c +--R + +--R 5 +--R 4b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 +--R (- 11a b - 13a )c + (- 6a b - 26a b)c + (21a b - 17a b )c +--R + +--R 4 2 3 +--R 16a b - 4a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (4b + 4a)c + (8b + 12a b)c + (4a b - 4a b - 16a )c +--R + +--R 4 3 2 2 3 5 4 2 3 3 2 +--R (- 8b - 12a b + 24a b - 24a b)c - 4b - 8a b + 28a b - 8a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 3 2 2 2 +--R (10a b + 14a )c + (8a b + 24a b)c +--R + +--R 3 2 2 3 4 4 2 3 3 2 4 +--R (- 10a b - 18a b + 12a b - 8a )c - 8a b - 20a b + 24a b - 4a b +--R * +--R 2 +--R cosh(x) +--R + +--R 3 2 2 3 2 3 2 3 3 2 +--R - 2a b c + (4a b + 4a b + 16a )c - 2a b c - 4a b - 16a b +--R + +--R 4 +--R 8a b +--R * +--R cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 4 +--R (a b - a )c + (- 2a b + 2a b)c + (a b - a b + 4a )c - 4a b +--R * +--R sinh(x) +--R + +--R 4 2 3 2 2 4 5 6 +--R ((- b - a)c + (- 2b - 2a b)c - a b c + 2b c + b )cosh(x) +--R + +--R 2 3 2 2 2 3 2 2 4 +--R (- 4a b - 4a )c + (- 3a b - 5a b)c + (6a b - 2a b )c + 5a b +--R + +--R 2 3 +--R - a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 2 2 3 2 2 2 3 5 4 +--R (2b + 2a)c + (2a b - 4a b - 5a )c + (4a b - 6a b)c - 2b - 4a b +--R + +--R 2 3 3 2 +--R 12a b - a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 3 2 2 2 3 4 4 2 3 +--R (4a b + 4a )c + (2a b + 6a b)c + (- 4a b - 4a )c - 2a b - 10a b +--R + +--R 3 2 +--R 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 2 3 2 2 3 2 +--R (- b - a)c + (2b + 2a b)c + (- a b + 4a b + 6a )c +--R + +--R 4 2 2 3 5 3 2 4 +--R (- 2b - 4a b + 4a b)c + b - 10a b + 4a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 2 2 3 2 2 4 4 2 3 4 +--R ((a b - a b)c + (- 2a b + 2a b + 4a )c + a b - a b - 4a b)cosh(x) +--R + +--R 3 2 3 3 2 +--R - a c + 2a b c - a b +--R / +--R 6 2 5 2 3 4 +--R (b - a)c + (2b - 2a b)c + (a b - a )c +--R + +--R 4 3 2 2 3 3 5 4 2 3 3 2 2 +--R (- 2b + 2a b + 2a b - 2a b)c + (- b + a b + a b - a b )c +--R * +--R 6 +--R sinh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (4b - 4a)c + (10b - 10a b)c + (4b - 4a b + 4a b - 4a )c +--R + +--R 4 3 2 2 3 3 +--R (- 8b + 8a b + 10a b - 10a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 8b + 8a b + 8a b - 8a b )c +--R + +--R 6 5 2 4 3 3 +--R (- 2b + 2a b + 2a b - 2a b )c +--R * +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (6a b - 6a )c + (8a b - 8a b)c +--R + +--R 3 2 2 3 4 3 +--R (- 4a b + 4a b + 6a b - 6a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 8a b + 8a b + 8a b - 8a b)c +--R + +--R 5 2 4 3 3 4 2 +--R (- 2a b + 2a b + 2a b - 2a b )c +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 5 +--R (6b - 6a)c + (20b - 20a b)c +--R + +--R 3 2 2 3 4 +--R (17b - 17a b + 6a b - 6a )c +--R + +--R 4 3 2 2 3 3 +--R (- 10b + 10a b + 20a b - 20a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 22b + 22a b + 23a b - 23a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 10b + 10a b + 10a b - 10a b )c - b + a b + a b - a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 5 2 2 4 3 4 3 +--R (20a b - 20a )c + (38a b - 38a b)c + (20a b - 20a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 36a b + 36a b + 38a b - 38a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 +--R (- 20a b + 20a b + 20a b - 20a b )c - 2a b + 2a b +--R + +--R 3 4 4 3 +--R 2a b - 2a b +--R * +--R cosh(x) +--R + +--R 6 3 2 2 3 4 +--R (- 2b + 2a)c + (4b - 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8a b + 10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 8b - 8a b + 8a b + 8a b )c +--R + +--R 6 5 2 4 3 3 +--R (- 2b - 2a b + 2a b + 2a b )c +--R * +--R cosh(x) +--R + +--R 2 5 2 2 4 3 2 2 3 4 3 +--R (6a b + 6a )c + (8a b + 8a b)c + (- 4a b - 4a b + 6a b + 6a )c +--R + +--R 4 2 3 3 2 4 2 5 2 4 3 3 4 2 +--R (- 8a b - 8a b + 8a b + 8a b)c + (- 2a b - 2a b + 2a b + 2a b )c +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (6b + 6a)c + (20b + 20a b)c + (17b + 17a b + 6a b + 6a )c +--R + +--R 4 3 2 2 3 3 +--R (- 10b - 10a b + 20a b + 20a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 22b - 22a b + 23a b + 23a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 10b - 10a b + 10a b + 10a b )c - b - a b + a b + a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 5 2 2 4 3 4 3 +--R (20a b + 20a )c + (38a b + 38a b)c + (20a b + 20a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 36a b - 36a b + 38a b + 38a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 20a b - 20a b + 20a b + 20a b )c - 2a b - 2a b + 2a b +--R + +--R 4 3 +--R 2a b +--R * +--R cosh(x) +--R + +--R 6 3 2 2 3 4 2 2 3 3 +--R (- 2b - 2a)c + (4b + 4a b + 11a b + 11a )c + (10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 2b - 2a b - 10a b - 10a b + 13a b + 13a )c +--R + +--R 2 4 3 3 4 2 5 2 5 3 4 4 3 5 2 +--R (- 10a b - 10a b + 10a b + 10a b)c - a b - a b + a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (4b + 4a)c + (20b + 20a b)c + (28b + 28a b + 4a b + 4a )c +--R + +--R 2 2 3 3 5 4 2 3 3 2 2 +--R (20a b + 20a b)c + (- 28b - 28a b + 32a b + 32a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 20b - 20a b + 20a b + 20a b )c - 4b - 4a b + 4a b + 4a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (24a b + 24a )c + (68a b + 68a b)c +--R + +--R 3 2 2 3 4 3 +--R (32a b + 32a b + 24a b + 24a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 56a b - 56a b + 68a b + 68a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 56a b - 56a b + 56a b + 56a b )c - 12a b - 12a b + 12a b +--R + +--R 4 3 +--R 12a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (- 4b - 4a)c + (- 4b - 4a b)c + (8b + 8a b + 32a b + 32a )c +--R + +--R 4 3 2 2 3 3 +--R (8b + 8a b + 44a b + 44a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 4b - 4a b - 20a b - 20a b + 36a b + 36a )c +--R + +--R 6 5 2 4 3 3 4 2 5 2 5 +--R (- 4b - 4a b - 44a b - 44a b + 48a b + 48a b)c - 12a b +--R + +--R 3 4 4 3 5 2 +--R - 12a b + 12a b + 12a b +--R * +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (- 8a b - 8a )c + (4a b + 4a b)c +--R + +--R 3 2 2 3 4 3 4 2 3 3 2 4 2 +--R (12a b + 12a b + 4a b + 4a )c + (- 4a b - 4a b + 8a b + 8a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 3 4 4 3 +--R (- 4a b - 4a b - 8a b - 8a b + 12a b + 12a )c - 4a b - 4a b +--R + +--R 5 2 6 +--R 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (b + a)c + (10b + 10a b)c + (22b + 22a b + a b + a )c +--R + +--R 4 3 2 2 3 3 +--R (10b + 10a b + 10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 17b - 17a b + 23a b + 23a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 20b - 20a b + 20a b + 20a b )c - 6b - 6a b + 6a b + 6a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (12a b + 12a )c + (56a b + 56a b)c +--R + +--R 3 2 2 3 4 3 +--R (56a b + 56a b + 12a b + 12a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 32a b - 32a b + 56a b + 56a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 68a b - 68a b + 68a b + 68a b )c - 24a b - 24a b + 24a b +--R + +--R 4 3 +--R 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 2 5 3 2 2 3 4 +--R (- 2b - 2a)c + (- 8b - 8a b)c + (2b + 2a b + 32a b + 32a )c +--R + +--R 4 3 2 2 3 3 +--R (16b + 16a b + 68a b + 68a b)c +--R + +--R 5 4 4 5 2 +--R (2b + 2a b + 34a b + 34a )c +--R + +--R 6 5 2 4 3 3 4 2 5 7 6 +--R (- 8b - 8a b - 68a b - 68a b + 76a b + 76a b)c - 2b - 2a b +--R + +--R 2 5 3 4 4 3 5 2 +--R - 32a b - 32a b + 34a b + 34a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (- 12a b - 12a )c + (- 8a b - 8a b)c +--R + +--R 3 2 2 3 4 3 +--R (28a b + 28a b + 16a b + 16a )c +--R + +--R 4 2 3 3 2 4 2 +--R (12a b + 12a b + 12a b + 12a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 16a b - 16a b - 12a b - 12a b + 28a b + 28a )c - 4a b +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 4a b - 16a b - 16a b + 20a b + 20a b +--R * +--R cosh(x) +--R + +--R 6 2 5 2 3 4 +--R (b + a)c + (- 2b - 2a b)c + (- 9a b - 9a )c +--R + +--R 4 3 2 2 3 3 +--R (2b + 2a b + 6a b + 6a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- b - a b + 13a b + 13a b - 6a b - 6a )c +--R + +--R 2 4 3 3 4 2 5 2 5 3 4 4 3 5 2 +--R (- 8a b - 8a b + 8a b + 8a b)c - 2a b - 2a b - 2a b - 2a b +--R + +--R 6 7 +--R 4a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 2 4 4 3 2 2 3 3 +--R (2b + 2a b)c + (8b + 8a b )c + (8b + 8a b + 2a b + 2a b)c +--R + +--R 5 4 2 3 3 2 2 +--R (- 4b - 4a b + 8a b + 8a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 10b - 10a b + 10a b + 10a b )c - 4b - 4a b + 4a b + 4a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (2a b + 2a )c + (20a b + 20a b)c +--R + +--R 3 2 2 3 4 3 3 2 4 2 +--R (36a b + 36a b + 2a b + 2a )c + (20a b + 20a b)c +--R + +--R 5 2 4 3 3 4 2 6 2 5 3 4 +--R (- 38a b - 38a b + 38a b + 38a b )c - 20a b - 20a b + 20a b +--R + +--R 4 3 +--R 20a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 5 3 2 2 3 4 +--R (- 4b - 4a b)c + (- 4b - 4a b + 12a b + 12a )c +--R + +--R 4 3 2 2 3 3 +--R (8b + 8a b + 44a b + 44a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (8b + 8a b + 20a b + 20a b + 12a b + 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 7 6 +--R (- 4b - 4a b - 44a b - 44a b + 48a b + 48a b)c - 4b - 4a b +--R + +--R 2 5 3 4 4 3 5 2 +--R - 32a b - 32a b + 36a b + 36a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 5 2 2 4 +--R (- 4a b - 4a )c + (- 16a b - 16a b)c +--R + +--R 3 2 2 3 4 3 +--R (12a b + 12a b + 16a b + 16a )c +--R + +--R 4 2 3 3 2 4 2 +--R (28a b + 28a b + 12a b + 12a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 8a b - 8a b - 12a b - 12a b + 20a b + 20a )c - 12a b +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 12a b - 16a b - 16a b + 28a b + 28a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 5 3 2 2 3 4 +--R (2b + 2a b)c + (- 4b - 4a b - 12a b - 12a )c +--R + +--R 2 2 3 3 5 4 2 3 3 2 4 5 2 +--R (2a b + 2a b)c + (4b + 4a b + 20a b + 20a b - 4a b - 4a )c +--R + +--R 6 5 2 4 3 3 2 5 3 4 4 3 +--R (- 2b - 2a b + 2a b + 2a b )c - 12a b - 12a b + 4a b +--R + +--R 5 2 6 7 +--R 4a b + 8a b + 8a +--R * +--R cosh(x) +--R + +--R 2 5 2 2 4 3 4 3 +--R (2a b + 2a )c + (- 4a b - 4a b)c + (- 2a b - 2a )c +--R + +--R 4 2 3 2 5 2 4 3 3 4 2 5 6 +--R (4a b + 4a b )c + (- 2a b - 2a b + 6a b + 6a b - 4a b - 4a )c +--R + +--R 3 4 4 3 5 2 6 +--R - 4a b - 4a b + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 3 3 2 2 +--R (b + a b )c + (2b + 2a b )c + (a b + a b )c +--R + +--R 6 5 2 4 3 3 7 6 2 5 3 4 +--R (- 2b - 2a b + 2a b + 2a b )c - b - a b + a b + a b +--R * +--R 6 +--R cosh(x) +--R + +--R 2 2 4 3 2 2 3 +--R (2a b + 2a b)c + (8a b + 8a b )c +--R + +--R 4 2 3 3 2 4 2 5 2 4 3 3 4 2 +--R (4a b + 4a b + 2a b + 2a b)c + (- 8a b - 8a b + 8a b + 8a b )c +--R + +--R 6 2 5 3 4 4 3 +--R - 6a b - 6a b + 6a b + 6a b +--R * +--R 5 +--R cosh(x) +--R + +--R 3 2 2 3 4 2 2 3 3 +--R (- 2b - 2a b + a b + a )c + (10a b + 10a b)c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (4b + 4a b + 10a b + 10a b + a b + a )c +--R + +--R 2 4 3 3 4 2 5 7 6 2 5 3 4 +--R (- 10a b - 10a b + 10a b + 10a b)c - 2b - 2a b - 11a b - 11a b +--R + +--R 4 3 5 2 +--R 13a b + 13a b +--R * +--R 4 +--R cosh(x) +--R + +--R 2 2 4 3 2 2 3 4 3 +--R (- 4a b - 4a b)c + (- 4a b - 4a b + 4a b + 4a )c +--R + +--R 4 2 3 3 2 4 2 +--R (12a b + 12a b + 8a b + 8a b)c +--R + +--R 5 2 4 3 3 4 2 5 6 6 2 5 3 4 +--R (4a b + 4a b - 8a b - 8a b + 4a b + 4a )c - 8a b - 8a b - 4a b +--R + +--R 4 3 5 2 6 +--R - 4a b + 12a b + 12a b +--R * +--R 3 +--R cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 3 3 +--R (b + a b - 2a b - 2a )c + (- 2b - 2a b - 8a b - 8a b)c +--R + +--R 2 3 3 2 4 5 2 +--R (13a b + 13a b + 2a b + 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 7 6 2 5 +--R (2b + 2a b + 6a b + 6a b - 8a b - 8a b)c - b - a b - 9a b +--R + +--R 3 4 4 3 5 2 6 7 +--R - 9a b + 6a b + 6a b + 4a b + 4a +--R * +--R 2 +--R cosh(x) +--R + +--R 2 2 4 3 2 2 3 4 3 +--R (2a b + 2a b)c + (- 4a b - 4a b - 4a b - 4a )c +--R + +--R 3 2 4 2 5 2 4 5 6 6 2 5 +--R (6a b + 6a b)c + (4a b + 4a b - 4a b - 4a )c - 2a b - 2a b +--R + +--R 3 4 4 3 5 2 6 +--R - 2a b - 2a b + 4a b + 4a b +--R * +--R cosh(x) +--R + +--R 2 3 4 2 2 3 3 4 5 2 +--R (a b + a )c + (- 2a b - 2a b)c + (a b + a )c +--R + +--R 2 4 3 3 4 2 5 2 5 3 4 4 3 5 2 +--R (2a b + 2a b - 2a b - 2a b)c - a b - a b + a b + a b +--R Type: Expression Integer +--E 227 + +--S 228 of 518 +t0945:= 1/(a+b*cosh(x)+c*sinh(x))^3 +--R +--R +--R (224) +--R 1 +--R / +--R 3 3 2 2 2 +--R c sinh(x) + (3b c cosh(x) + 3a c )sinh(x) +--R + +--R 2 2 2 3 3 +--R (3b c cosh(x) + 6a b c cosh(x) + 3a c)sinh(x) + b cosh(x) +--R + +--R 2 2 2 3 +--R 3a b cosh(x) + 3a b cosh(x) + a +--R Type: Expression Integer +--E 228 + +--S 229 of 518 +r0945:= -1/2*(c*cosh(x)+b*sinh(x))/(a^2-b^2+c^2)/(a+b*cosh(x)+c*sinh(x))^2-_ + 1/2*(2*(2*a^2+b^2-c^2)*atanh((c-(a-b)*tanh(1/2*x))/_ + (a^2-b^2+c^2)^(1/2))+3*a*(a^2-b^2+c^2)^(1/2)*_ + (c*cosh(x)+b*sinh(x))/(a+b*cosh(x)+c*sinh(x)))/(a^2-b^2+c^2)^(5/2) +--R +--R +--R (225) +--R 4 2 2 2 2 +--R (2c + (- 2b - 4a )c )sinh(x) +--R + +--R 3 3 2 3 2 3 +--R ((4b c + (- 4b - 8a b)c)cosh(x) + 4a c + (- 4a b - 8a )c)sinh(x) +--R + +--R 2 2 4 2 2 2 2 3 3 +--R (2b c - 2b - 4a b )cosh(x) + (4a b c - 4a b - 8a b)cosh(x) +--R + +--R 2 2 2 2 4 +--R 2a c - 2a b - 4a +--R * +--R x +--R (b - a)tanh(-) + c +--R 2 +--R atanh(------------------) +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 2 +--R - 3a b c sinh(x) +--R + +--R 2 2 2 3 2 +--R ((- 3a c - 3a b )cosh(x) - b c + b - 4a b)sinh(x) +--R + +--R 2 3 2 2 +--R - 3a b c cosh(x) + (- c + (b - 4a )c)cosh(x) +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R / +--R 6 2 2 4 4 2 2 4 2 2 +--R (2c + (- 4b + 4a )c + (2b - 4a b + 2a )c )sinh(x) +--R + +--R 5 3 2 3 5 2 3 4 5 +--R (4b c + (- 8b + 8a b)c + (4b - 8a b + 4a b)c)cosh(x) + 4a c +--R + +--R 2 3 3 4 3 2 5 +--R (- 8a b + 8a )c + (4a b - 8a b + 4a )c +--R * +--R sinh(x) +--R + +--R 2 4 4 2 2 2 6 2 4 4 2 2 +--R (2b c + (- 4b + 4a b )c + 2b - 4a b + 2a b )cosh(x) +--R + +--R 4 3 3 2 5 3 3 5 2 4 +--R (4a b c + (- 8a b + 8a b)c + 4a b - 8a b + 4a b)cosh(x) + 2a c +--R + +--R 2 2 4 2 2 4 4 2 6 +--R (- 4a b + 4a )c + 2a b - 4a b + 2a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R Type: Expression Integer +--E 229 + +--S 230 of 518 +a0945:= integrate(t0945,x) +--R +--R +--R (226) +--R [ +--R 4 3 2 2 3 2 4 2 2 4 +--R (c + 2b c - 2a c + (- 2b - 4a b)c - b - 2a b )sinh(x) +--R + +--R 4 3 2 2 3 2 4 2 2 +--R (4c + 8b c - 8a c + (- 8b - 16a b)c - 4b - 8a b )cosh(x) +--R + +--R 3 2 2 3 3 3 +--R 4a c + 4a b c + (- 4a b - 8a )c - 4a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 2 4 2 2 +--R (6c + 12b c - 12a c + (- 12b - 24a b)c - 6b - 12a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 3 2 2 3 3 3 +--R (12a c + 12a b c + (- 12a b - 24a )c - 12a b - 24a b) +--R * +--R cosh(x) +--R + +--R 4 2 2 2 4 2 2 4 +--R - 2c + (4b + 8a )c - 2b - 8a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 2 4 2 2 3 +--R (4c + 8b c - 8a c + (- 8b - 16a b)c - 4b - 8a b )cosh(x) +--R + +--R 3 2 2 3 3 3 +--R (12a c + 12a b c + (- 12a b - 24a )c - 12a b - 24a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 2 2 4 2 2 4 3 +--R (- 4c + (8b + 16a )c - 4b - 16a b - 16a )cosh(x) - 4a c +--R + +--R 2 2 3 3 3 +--R 4a b c + (4a b + 8a )c - 4a b - 8a b +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 2 4 2 2 4 +--R (c + 2b c - 2a c + (- 2b - 4a b)c - b - 2a b )cosh(x) +--R + +--R 3 2 2 3 3 3 3 +--R (4a c + 4a b c + (- 4a b - 8a )c - 4a b - 8a b)cosh(x) +--R + +--R 4 2 2 2 4 2 2 4 2 +--R (- 2c + (4b + 8a )c - 2b - 8a b - 8a )cosh(x) +--R + +--R 3 2 2 3 3 3 4 +--R (- 4a c + 4a b c + (4a b + 8a )c - 4a b - 8a b)cosh(x) + c +--R + +--R 3 2 2 3 2 4 2 2 +--R - 2b c - 2a c + (2b + 4a b)c - b - 2a b +--R * +--R log +--R 2 2 2 +--R (c + 2b c + b )sinh(x) +--R + +--R 2 2 +--R ((2c + 4b c + 2b )cosh(x) + 2a c + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (c + 2b c + b )cosh(x) + (2a c + 2a b)cosh(x) + c - b +--R + +--R 2 +--R 2a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 3 2 2 2 3 2 +--R (2c + 2b c + (- 2b + 2a )c - 2b + 2a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (2c + 2b c + (- 2b + 2a )c - 2b + 2a b)cosh(x) + 2a c +--R + +--R 2 3 +--R - 2a b + 2a +--R / +--R 2 +--R (c + b)sinh(x) + ((2c + 2b)cosh(x) + 2a)sinh(x) +--R + +--R 2 +--R (c + b)cosh(x) + 2a cosh(x) - c + b +--R + +--R 3 2 2 2 3 2 3 +--R (- 2c - 2b c + (2b + 4a )c + 2b + 4a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 6c - 6b c + (6b + 12a )c + 6b + 12a b)cosh(x) - 6a c +--R + +--R 2 3 +--R 6a b + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 6c - 6b c + (6b + 12a )c + 6b + 12a b)cosh(x) +--R + +--R 2 2 3 3 2 2 2 +--R (- 12a c + 12a b + 24a )cosh(x) - 2c + 2b c + (2b - 20a )c +--R + +--R 3 2 +--R - 2b + 20a b +--R * +--R sinh(x) +--R + +--R 3 2 2 2 3 2 3 +--R (- 2c - 2b c + (2b + 4a )c + 2b + 4a b)cosh(x) +--R + +--R 2 2 3 2 +--R (- 6a c + 6a b + 12a )cosh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 2c + 2b c + (2b - 20a )c - 2b + 20a b)cosh(x) + 6a c +--R + +--R 2 +--R - 12a b c + 6a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R / +--R 6 5 2 2 4 3 2 3 +--R 2c + 4b c + (- 2b + 4a )c + (- 8b + 8a b)c +--R + +--R 4 4 2 5 2 3 4 6 2 4 4 2 +--R (- 2b + 2a )c + (4b - 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4b c - 16b c + (- 16b + 8a b)c + (8b + 32a b )c +--R + +--R 5 2 3 6 2 4 +--R (20b + 40a b )c + 8b + 16a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 4 2 3 3 3 2 +--R - 4a c - 40a b c + (- 72a b + 8a )c + 80a b c +--R + +--R 4 3 2 5 3 3 +--R (76a b + 152a b )c + 40a b + 80a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 2 4 3 2 3 +--R 8b c + (8b - 24a )c + (- 16b - 112a b)c +--R + +--R 4 2 2 4 2 5 2 3 4 6 +--R (- 16b - 64a b + 48a )c + (8b + 112a b + 192a b)c + 8b +--R + +--R 2 4 4 2 +--R 88a b + 144a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 +--R 8a c + 32a b c + (- 24a b - 56a )c +--R + +--R 3 3 2 4 3 2 5 5 +--R (- 56a b - 120a b)c + (16a b + 72a b + 80a )c + 24a b +--R + +--R 3 3 5 +--R 104a b + 112a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 2 4 2 3 +--R - 4b c + (8b + 24a )c + 8a b c +--R + +--R 4 2 2 4 2 5 2 3 2 4 4 2 +--R (- 8b - 64a b - 64a )c + (4b + 8a b )c + 24a b + 64a b +--R + +--R 6 +--R 32a +--R * +--R cosh(x) +--R + +--R 5 4 3 3 3 3 2 +--R - 4a c + 8a b c + 16a c + (- 8a b - 24a b)c +--R + +--R 4 5 3 3 5 +--R (4a b - 16a )c + 8a b + 16a b +--R * +--R sinh(x) +--R + +--R 2 4 3 3 2 2 2 5 2 3 6 2 4 6 +--R (- 2b c - 4b c + 4a b c + (4b + 8a b )c + 2b + 4a b )cosh(x) +--R + +--R 4 2 3 3 3 2 4 3 2 +--R - 4a b c - 16a b c + (- 8a b + 8a b)c + (16a b + 32a b )c +--R + +--R 5 3 3 +--R 12a b + 24a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 2 4 2 3 4 2 2 4 2 +--R (4b - 2a )c - 20a b c + (- 8b - 32a b + 4a )c +--R + +--R 2 3 4 6 2 4 4 2 +--R (20a b + 40a b)c + 4b + 34a b + 52a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 2 3 3 3 3 2 +--R 8a b c + (8a b - 8a )c + (- 24a b - 40a b)c +--R + +--R 4 3 2 5 5 3 3 5 +--R (- 8a b - 8a b + 16a )c + 16a b + 56a b + 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 2 4 3 2 3 2 2 4 2 +--R (- 2b + 4a )c + (4b + 16a b)c + (- 20a b - 16a )c +--R + +--R 5 2 3 4 6 2 4 4 2 6 +--R (- 4b - 24a b - 32a b)c + 2b + 24a b + 48a b + 16a +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 3 3 4 3 2 5 5 +--R - 4a b c + (8a b + 8a )c + (- 8a b - 24a b - 16a )c + 4a b +--R + +--R 3 3 5 +--R 16a b + 16a b +--R * +--R cosh(x) +--R + +--R 2 4 2 3 4 2 2 3 4 2 4 4 2 +--R - 2a c + 4a b c + 4a c + (- 4a b - 8a b)c + 2a b + 4a b +--R * +--R x +--R (b - a)tanh(-) + c +--R 2 +--R atanh(------------------) +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 3 2 2 3 6 +--R (3a b c + 6a b c + 3a b c)sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (3a c + 18a b c + 30a b c + 18a b c + 3a b )cosh(x) - 2c +--R + +--R 4 2 2 3 3 2 2 4 2 2 5 +--R - b c + (4b + 4a )c + (2b + 20a b)c + (- 2b + 20a b )c - b +--R + +--R 2 3 +--R 4a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (12a c + 45a b c + 66a b c + 45a b c + 12a b )cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 +--R - 5c - 4b c + (10b + 28a )c + (8b + 92a b)c +--R + +--R 4 2 2 5 2 3 +--R (- 5b + 92a b )c - 4b + 28a b +--R * +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 4 +--R - 10a c - 6a b c + (14a b + 20a )c + (6a b + 36a b)c - 4a b +--R + +--R 3 2 +--R 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (18a c + 60a b c + 84a b c + 60a b c + 18a b )cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 +--R - 2c - 4b c + (4b + 64a )c + (8b + 176a b)c +--R + +--R 4 2 2 5 2 3 +--R (- 2b + 176a b )c - 4b + 64a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 +--R - 26a c - 24a b c + (28a b + 76a )c + (24a b + 144a b)c +--R + +--R 4 3 2 +--R - 2a b + 68a b +--R * +--R cosh(x) +--R + +--R 5 2 2 3 3 2 2 2 2 4 5 +--R - 2c + (2b - 34a )c + (2b + 2a b)c + (26a b + 28a )c - 2b +--R + +--R 2 3 4 +--R 6a b + 20a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (12a c + 45a b c + 66a b c + 45a b c + 12a b )cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 +--R 4c + 2b c + (- 8b + 64a )c + (- 4b + 176a b)c +--R + +--R 4 2 2 5 2 3 +--R (4b + 176a b )c + 2b + 64a b +--R * +--R 3 +--R cosh(x) +--R + +--R 4 3 3 2 3 3 4 +--R - 18a c - 36a b c + 108a c + (36a b + 216a b)c + 18a b +--R + +--R 3 2 +--R 108a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 +--R - 4c - 6b c + (10b - 66a )c + (10b - 46a b)c +--R + +--R 4 2 2 4 5 2 3 4 +--R (- 6b + 74a b + 76a )c - 4b + 38a b + 68a b +--R * +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 4 +--R 2a c - 9a b c + (8a b - 46a )c + (3a b + 24a b)c - 4a b +--R + +--R 3 2 5 +--R 22a b + 12a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R (3a c + 18a b c + 30a b c + 18a b c + 3a b )cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 +--R 4c + 5b c + (- 8b + 28a )c + (- 10b + 92a b)c +--R + +--R 4 2 2 5 2 3 +--R (4b + 92a b )c + 5b + 28a b +--R * +--R 4 +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 +--R 2a c - 24a b c + (- 28a b + 68a )c + (24a b + 144a b)c +--R + +--R 4 3 2 +--R 26a b + 76a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 +--R - 4c - 6b c + (10b - 38a )c + (10b - 74a b)c +--R + +--R 4 2 2 4 5 2 3 4 +--R (- 6b + 46a b + 68a )c - 4b + 66a b + 76a b +--R * +--R 2 +--R cosh(x) +--R + +--R 4 3 2 3 2 3 4 +--R - 5a c + 6a b c + (- 2a b - 68a )c + 6a b c - 5a b +--R + +--R 3 2 5 +--R 68a b + 24a +--R * +--R cosh(x) +--R + +--R 4 2 2 3 2 2 4 2 2 4 5 +--R b c + (- 2b + 10a )c - 18a b c + (2b + 6a b - 20a )c - b +--R + +--R 2 3 4 +--R 2a b + 20a b +--R * +--R sinh(x) +--R + +--R 3 2 2 3 6 +--R (3a b c + 6a b c + 3a b c)cosh(x) +--R + +--R 5 4 2 2 3 3 2 2 4 2 2 +--R c + 2b c + (- 2b + 4a )c + (- 4b + 20a b)c + (b + 20a b )c +--R + +--R 5 2 3 +--R 2b + 4a b +--R * +--R 5 +--R cosh(x) +--R + +--R 4 3 2 3 2 3 3 4 +--R 4a c - 6a b c + (- 14a b + 16a )c + (6a b + 36a b)c + 10a b +--R + +--R 3 2 +--R 20a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 2 3 3 2 2 2 2 4 5 +--R - 2c + (2b - 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16a b + 12a )c + (16a b - 32a b + 16a b)c +--R + +--R 6 3 4 5 2 +--R (4a b - 8a b + 4a b )c +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R 12c + 40b c + (22b + 24a )c + (- 60b + 80a b)c +--R + +--R 4 2 2 4 4 2 3 4 3 +--R (- 78b + 68a b + 12a )c + (- 40a b + 40a b)c +--R + +--R 6 2 4 4 2 2 7 2 5 4 3 8 +--R (42b - 88a b + 46a b )c + (20b - 40a b + 20a b )c + 2b +--R + +--R 2 6 4 4 +--R - 4a b + 2a b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 6 2 3 5 +--R 40a c + 76a b c + (- 40a b + 80a )c +--R + +--R 3 3 4 4 5 3 +--R (- 148a b + 152a b)c + (- 40a b + 40a )c +--R + +--R 5 3 3 5 2 6 3 4 5 2 +--R (68a b - 144a b + 76a b)c + (40a b - 80a b + 40a b )c +--R + +--R 7 3 5 5 3 +--R 4a b - 8a b + 4a b +--R * +--R cosh(x) +--R + +--R 8 2 2 6 2 5 4 2 2 4 4 +--R - 4c + (12b + 18a )c + 20a b c + (- 12b - 34a b + 48a )c +--R + +--R 2 3 4 3 6 2 4 4 2 6 2 +--R (- 40a b + 40a b)c + (4b + 14a b - 44a b + 26a )c +--R + +--R 2 5 4 3 6 2 6 4 4 6 2 +--R (20a b - 40a b + 20a b)c + 2a b - 4a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R 8c + 40b c + (48b + 16a )c + (- 40b + 80a b)c +--R + +--R 4 2 2 4 4 5 4 3 +--R (- 112b + 112a b + 8a )c + (- 40b + 40a b)c +--R + +--R 6 2 4 4 2 2 7 2 5 4 3 8 +--R (48b - 112a b + 64a b )c + (40b - 80a b + 40a b )c + 8b +--R + +--R 2 6 4 4 +--R - 16a b + 8a b +--R * +--R 3 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R 48a c + 136a b c + (16a b + 96a )c + (- 248a b + 272a b)c +--R + +--R 4 3 2 5 3 5 3 3 5 2 +--R (- 176a b + 128a b + 48a )c + (88a b - 224a b + 136a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 +--R (112a b - 224a b + 112a b )c + 24a b - 48a b + 24a b +--R * +--R 2 +--R cosh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R - 8c - 8b c + (24b + 56a )c + (24b + 80a b)c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (- 24b - 88a b + 136a )c + (- 24b - 160a b + 184a b)c +--R + +--R 6 2 4 4 2 6 2 +--R (8b + 8a b - 88a b + 72a )c +--R + +--R 7 2 5 4 3 6 2 6 4 4 6 2 +--R (8b + 80a b - 184a b + 96a b)c + 24a b - 48a b + 24a b +--R * +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R - 16a c + 8a b c + (40a b - 8a )c + (- 16a b + 24a b)c +--R + +--R 4 5 3 5 3 3 5 2 +--R (- 32a b + 32a )c + (8a b - 32a b + 24a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 7 +--R (8a b + 8a b - 40a b + 24a )c + 8a b - 16a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 2 2 6 2 5 +--R 2c + 20b c + (42b + 4a )c + 40a b c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (- 78b + 88a b + 2a )c + (- 60b + 40a b + 20a b)c +--R + +--R 6 2 4 4 2 2 7 2 5 4 3 8 +--R (22b - 68a b + 46a b )c + (40b - 80a b + 40a b )c + 12b +--R + +--R 2 6 4 4 +--R - 24a b + 12a b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R 24a c + 112a b c + (88a b + 48a )c + (- 176a b + 224a b)c +--R + +--R 4 3 2 5 3 5 3 3 5 2 +--R (- 248a b + 224a b + 24a )c + (16a b - 128a b + 112a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 +--R (136a b - 272a b + 136a b )c + 48a b - 96a b + 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R - 4c - 16b c + (8b + 60a )c + (48b + 120a b)c +--R + +--R 2 2 4 4 5 2 3 4 3 +--R (- 60a b + 132a )c + (- 48b - 240a b + 288a b)c +--R + +--R 6 2 4 6 2 +--R (- 8b - 60a b + 68a )c +--R + +--R 7 2 5 4 3 6 8 2 6 4 4 +--R (16b + 120a b - 288a b + 152a b)c + 4b + 60a b - 132a b +--R + +--R 6 2 +--R 68a b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R - 24a c - 16a b c + (80a b + 8a )c + (40a b + 8a b)c +--R + +--R 4 5 3 5 3 3 5 2 +--R (- 88a b + 88a )c + (- 32a b - 32a b + 64a b)c +--R + +--R 6 3 4 5 2 7 7 3 5 5 3 +--R (32a b - 8a b - 80a b + 56a )c + 8a b + 24a b - 72a b +--R + +--R 7 +--R 40a b +--R * +--R cosh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R 2c - 4b c + (- 2b - 16a )c + (8b + 8a b)c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (- 2b + 44a b - 30a )c + (- 4b - 24a b + 28a b)c +--R + +--R 6 2 4 4 2 6 2 2 5 4 3 6 +--R (2b - 32a b + 34a b - 4a )c + (16a b - 32a b + 16a b)c +--R + +--R 2 6 6 2 8 +--R 4a b - 12a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 6 3 2 5 4 2 2 4 +--R 4b c + 16b c + (12b + 8a b)c + (- 24b + 32a b )c +--R + +--R 5 2 3 4 3 2 4 4 2 2 +--R (- 36b + 32a b + 4a b)c + (- 16a b + 16a b )c +--R + +--R 7 2 5 4 3 8 2 6 4 4 +--R (20b - 40a b + 20a b )c + 8b - 16a b + 8a b +--R * +--R 5 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R 4a c + 40a b c + (68a b + 8a )c + (- 40a b + 80a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (- 148a b + 144a b + 4a )c + (- 40a b + 40a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 +--R (76a b - 152a b + 76a b )c + 40a b - 80a b + 40a b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 2 2 6 3 2 5 +--R - 8b c + (- 8b + 24a )c + (24b + 80a b)c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (24b + 8a b + 48a )c + (- 24b - 160a b + 184a b)c +--R + +--R 6 2 4 4 2 6 2 +--R (- 24b - 88a b + 88a b + 24a )c +--R + +--R 7 2 5 4 3 6 8 2 6 4 4 +--R (8b + 80a b - 184a b + 96a b)c + 8b + 56a b - 136a b +--R + +--R 6 2 +--R 72a b +--R * +--R 3 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R - 8a c - 32a b c + (32a b + 24a )c + (88a b - 8a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (- 40a b - 32a b + 72a )c + (- 80a b + 80a b)c +--R + +--R 6 3 4 5 2 7 7 3 5 5 3 +--R (16a b + 8a b - 64a b + 40a )c + 24a b + 8a b - 88a b +--R + +--R 7 +--R 56a b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 2 2 6 3 2 5 +--R 4b c + (- 8b - 24a )c + (- 4b + 8a b)c +--R + +--R 4 2 2 4 4 5 4 3 +--R (16b + 56a b - 32a )c + (- 4b + 4a b)c +--R + +--R 6 2 4 4 2 6 2 7 2 5 4 3 +--R (- 8b - 56a b + 56a b + 8a )c + (4b - 8a b + 4a b )c +--R + +--R 2 6 4 4 6 2 8 +--R 24a b - 32a b - 8a b + 16a +--R * +--R cosh(x) +--R + +--R 7 6 2 5 3 3 4 +--R 4a c - 8a b c - 4a b c + (16a b - 8a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (- 4a b + 16a b - 12a )c + (- 8a b + 8a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 7 +--R (4a b - 16a b + 20a b - 8a )c + 8a b - 16a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 6 3 5 4 2 2 4 5 2 3 3 +--R 2b c + 4b c + (- 2b + 4a b )c + (- 8b + 8a b )c +--R + +--R 6 4 2 2 7 2 5 4 3 8 2 6 4 4 +--R (- 2b + 2a b )c + (4b - 8a b + 4a b )c + 2b - 4a b + 2a b +--R * +--R 6 +--R cosh(x) +--R + +--R 6 2 5 3 3 4 4 3 2 3 +--R 4a b c + 16a b c + (4a b + 8a b)c + (- 32a b + 32a b )c +--R + +--R 5 3 3 5 2 6 3 4 5 2 7 +--R (- 20a b + 16a b + 4a b)c + (16a b - 32a b + 16a b )c + 12a b +--R + +--R 3 5 5 3 +--R - 24a b + 12a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 2 6 2 5 4 2 2 4 4 +--R (- 4b + 2a )c + 20a b c + (12b + 14a b + 4a )c +--R + +--R 2 3 4 3 6 2 4 4 2 6 2 +--R (- 40a b + 40a b)c + (- 12b - 34a b + 44a b + 2a )c +--R + +--R 2 5 4 3 6 8 2 6 4 4 6 2 +--R (20a b - 40a b + 20a b)c + 4b + 18a b - 48a b + 26a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 2 3 5 3 3 4 +--R - 8a b c + (- 8a b + 8a )c + (32a b + 8a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (16a b - 32a b + 16a )c + (- 40a b + 40a b)c +--R + +--R 6 3 4 5 2 7 7 3 5 5 3 7 +--R (- 8a b + 24a b - 24a b + 8a )c + 16a b - 8a b - 32a b + 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 2 6 3 2 5 4 2 2 4 +--R (2b - 4a )c + (- 4b - 16a b)c + (- 2b + 32a b )c +--R + +--R 5 2 3 4 3 6 2 4 4 2 6 2 +--R (8b + 24a b - 32a b)c + (- 2b - 44a b + 34a b + 12a )c +--R + +--R 7 2 5 4 3 6 8 2 6 4 4 6 2 +--R (- 4b - 8a b + 28a b - 16a b)c + 2b + 16a b - 30a b + 4a b +--R + +--R 8 +--R 8a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 2 3 5 3 3 4 +--R 4a b c + (- 8a b - 8a )c + (- 4a b + 16a b)c +--R + +--R 4 5 3 5 3 3 5 2 +--R (16a b - 16a )c + (- 4a b - 16a b + 20a b)c +--R + +--R 6 3 4 5 2 7 7 5 3 7 +--R (- 8a b + 8a b + 8a b - 8a )c + 4a b - 12a b + 8a b +--R * +--R cosh(x) +--R + +--R 2 6 2 5 2 2 4 4 2 3 4 3 +--R 2a c - 4a b c + (- 2a b + 4a )c + (8a b - 8a b)c +--R + +--R 2 4 6 2 2 5 4 3 6 2 6 4 4 6 2 +--R (- 2a b + 2a )c + (- 4a b + 8a b - 4a b)c + 2a b - 4a b + 2a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R Type: Expression Integer +--E 231 + +--S 232 of 518 +--d0945a:= D(m0945a,x) +--E 232 + +--S 233 of 518 +m0945b:= a0945.2-r0945 +--R +--R +--R (228) +--R 6 5 2 4 3 2 3 4 2 2 2 6 +--R (- 2c - 4b c + 4a c + (4b + 8a b)c + (2b + 4a b )c )sinh(x) +--R + +--R 6 5 2 2 4 3 2 3 +--R - 8c - 20b c + (- 8b + 16a )c + (16b + 40a b)c +--R + +--R 4 2 2 2 5 2 3 +--R (16b + 32a b )c + (4b + 8a b )c +--R * +--R cosh(x) +--R + +--R 5 4 2 3 3 3 3 2 +--R - 12a c - 16a b c + (8a b + 24a )c + (16a b + 32a b)c +--R + +--R 4 3 2 +--R (4a b + 8a b )c +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 2 4 3 2 3 +--R - 12c - 40b c + (- 34b + 24a )c + (20b + 80a b)c +--R + +--R 4 2 2 2 5 2 3 6 2 4 +--R (44b + 92a b )c + (20b + 40a b )c + 2b + 4a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 3 3 3 3 2 +--R - 40a c - 76a b c + 80a c + (72a b + 152a b)c +--R + +--R 4 3 2 5 3 3 +--R (40a b + 80a b )c + 4a b + 8a b +--R * +--R cosh(x) +--R + +--R 6 2 2 4 2 3 4 2 2 4 2 +--R 4c + (- 8b - 34a )c - 20a b c + (4b + 32a b + 52a )c +--R + +--R 2 3 4 2 4 4 2 +--R (20a b + 40a b)c + 2a b + 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 2 4 2 3 +--R - 8c - 40b c + (- 56b + 16a )c + 80a b c +--R + +--R 4 2 2 2 5 2 3 6 2 4 +--R (56b + 128a b )c + (40b + 80a b )c + 8b + 16a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 +--R - 48a c - 136a b c + (- 64a b + 96a )c +--R + +--R 3 3 2 4 3 2 5 3 3 +--R (112a b + 272a b)c + (112a b + 224a b )c + 24a b + 48a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 2 4 3 2 3 +--R 8c + 8b c + (- 16b - 88a )c + (- 16b - 112a b)c +--R + +--R 4 2 2 4 2 5 2 3 4 2 4 +--R (8b + 64a b + 144a )c + (8b + 112a b + 192a b)c + 24a b +--R + +--R 4 2 +--R 48a b +--R * +--R cosh(x) +--R + +--R 5 4 2 3 3 3 3 2 +--R 16a c - 8a b c + (- 24a b - 56a )c + (8a b + 8a b)c +--R + +--R 4 3 2 5 3 3 5 +--R (8a b + 40a b + 48a )c + 8a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 2 4 3 2 3 +--R - 2c - 20b c + (- 44b + 4a )c + (- 20b + 40a b)c +--R + +--R 4 2 2 2 5 2 3 6 2 4 +--R (34b + 92a b )c + (40b + 80a b )c + 12b + 24a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 4 2 3 3 +--R - 24a c - 112a b c + (- 112a b + 48a )c +--R + +--R 3 3 2 4 3 2 5 3 3 +--R (64a b + 224a b)c + (136a b + 272a b )c + 48a b + 96a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 2 4 3 2 3 +--R 4c + 16b c + (- 4b - 76a )c + (- 32b - 184a b)c +--R + +--R 4 4 2 5 2 3 4 6 2 4 +--R (- 4b + 136a )c + (16b + 184a b + 304a b)c + 4b + 76a b +--R + +--R 4 2 +--R 136a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 +--R 24a c + 16a b c + (- 56a b - 104a )c +--R + +--R 3 3 2 4 3 2 5 5 +--R (- 24a b - 72a b)c + (32a b + 120a b + 112a )c + 8a b +--R + +--R 3 3 5 +--R 56a b + 80a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 2 3 +--R - 2c + 4b c + 24a c + (- 4b - 24a b)c +--R + +--R 4 2 2 4 2 2 3 4 2 4 4 2 6 +--R (2b - 20a b - 48a )c + (16a b + 32a b)c + 4a b + 16a b + 16a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 2 3 4 2 2 2 +--R - 4b c - 16b c + (- 16b + 8a b)c + (8b + 32a b )c +--R + +--R 5 2 3 6 2 4 +--R (20b + 40a b )c + 8b + 16a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 4 2 3 3 3 2 +--R - 4a c - 40a b c + (- 72a b + 8a )c + 80a b c +--R + +--R 4 3 2 5 3 3 +--R (76a b + 152a b )c + 40a b + 80a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 2 4 3 2 3 +--R 8b c + (8b - 24a )c + (- 16b - 112a b)c +--R + +--R 4 2 2 4 2 5 2 3 4 6 +--R (- 16b - 64a b + 48a )c + (8b + 112a b + 192a b)c + 8b +--R + +--R 2 4 4 2 +--R 88a b + 144a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 +--R 8a c + 32a b c + (- 24a b - 56a )c +--R + +--R 3 3 2 4 3 2 5 5 +--R (- 56a b - 120a b)c + (16a b + 72a b + 80a )c + 24a b +--R + +--R 3 3 5 +--R 104a b + 112a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 2 4 2 3 +--R - 4b c + (8b + 24a )c + 8a b c +--R + +--R 4 2 2 4 2 5 2 3 2 4 4 2 +--R (- 8b - 64a b - 64a )c + (4b + 8a b )c + 24a b + 64a b +--R + +--R 6 +--R 32a +--R * +--R cosh(x) +--R + +--R 5 4 3 3 3 3 2 +--R - 4a c + 8a b c + 16a c + (- 8a b - 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88a b + 136a )c + (- 24b - 160a b + 184a b)c +--R + +--R 6 2 4 4 2 6 2 +--R (8b + 8a b - 88a b + 72a )c +--R + +--R 7 2 5 4 3 6 2 6 4 4 6 2 +--R (8b + 80a b - 184a b + 96a b)c + 24a b - 48a b + 24a b +--R * +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R - 16a c + 8a b c + (40a b - 8a )c + (- 16a b + 24a b)c +--R + +--R 4 5 3 5 3 3 5 2 +--R (- 32a b + 32a )c + (8a b - 32a b + 24a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 7 +--R (8a b + 8a b - 40a b + 24a )c + 8a b - 16a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 2 2 6 2 5 +--R 2c + 20b c + (42b + 4a )c + 40a b c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (- 78b + 88a b + 2a )c + (- 60b + 40a b + 20a b)c +--R + +--R 6 2 4 4 2 2 7 2 5 4 3 8 +--R (22b - 68a b + 46a b )c + (40b - 80a b + 40a b )c + 12b +--R + +--R 2 6 4 4 +--R - 24a b + 12a b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R 24a c + 112a b c + (88a b + 48a )c + (- 176a b + 224a b)c +--R + +--R 4 3 2 5 3 5 3 3 5 2 +--R (- 248a b + 224a b + 24a )c + (16a b - 128a b + 112a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 +--R (136a b - 272a b + 136a b )c + 48a b - 96a b + 48a b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R - 4c - 16b c + (8b + 60a )c + (48b + 120a b)c +--R + +--R 2 2 4 4 5 2 3 4 3 +--R (- 60a b + 132a )c + (- 48b - 240a b + 288a b)c +--R + +--R 6 2 4 6 2 +--R (- 8b - 60a b + 68a )c +--R + +--R 7 2 5 4 3 6 8 2 6 4 4 +--R (16b + 120a b - 288a b + 152a b)c + 4b + 60a b - 132a b +--R + +--R 6 2 +--R 68a b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R - 24a c - 16a b c + (80a b + 8a )c + (40a b + 8a b)c +--R + +--R 4 5 3 5 3 3 5 2 +--R (- 88a b + 88a )c + (- 32a b - 32a b + 64a b)c +--R + +--R 6 3 4 5 2 7 7 3 5 5 3 +--R (32a b - 8a b - 80a b + 56a )c + 8a b + 24a b - 72a b +--R + +--R 7 +--R 40a b +--R * +--R cosh(x) +--R + +--R 8 7 2 2 6 3 2 5 +--R 2c - 4b c + (- 2b - 16a )c + (8b + 8a b)c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (- 2b + 44a b - 30a )c + (- 4b - 24a b + 28a b)c +--R + +--R 6 2 4 4 2 6 2 2 5 4 3 6 +--R (2b - 32a b + 34a b - 4a )c + (16a b - 32a b + 16a b)c +--R + +--R 2 6 6 2 8 +--R 4a b - 12a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 6 3 2 5 4 2 2 4 +--R 4b c + 16b c + (12b + 8a b)c + (- 24b + 32a b )c +--R + +--R 5 2 3 4 3 2 4 4 2 2 +--R (- 36b + 32a b + 4a b)c + (- 16a b + 16a b )c +--R + +--R 7 2 5 4 3 8 2 6 4 4 +--R (20b - 40a b + 20a b )c + 8b - 16a b + 8a b +--R * +--R 5 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R 4a c + 40a b c + (68a b + 8a )c + (- 40a b + 80a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (- 148a b + 144a b + 4a )c + (- 40a b + 40a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 +--R (76a b - 152a b + 76a b )c + 40a b - 80a b + 40a b +--R * +--R 4 +--R cosh(x) +--R + +--R 7 2 2 6 3 2 5 +--R - 8b c + (- 8b + 24a )c + (24b + 80a b)c +--R + +--R 4 2 2 4 4 5 2 3 4 3 +--R (24b + 8a b + 48a )c + (- 24b - 160a b + 184a b)c +--R + +--R 6 2 4 4 2 6 2 +--R (- 24b - 88a b + 88a b + 24a )c +--R + +--R 7 2 5 4 3 6 8 2 6 4 4 +--R (8b + 80a b - 184a b + 96a b)c + 8b + 56a b - 136a b +--R + +--R 6 2 +--R 72a b +--R * +--R 3 +--R cosh(x) +--R + +--R 7 6 2 3 5 3 3 4 +--R - 8a c - 32a b c + (32a b + 24a )c + (88a b - 8a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (- 40a b - 32a b + 72a )c + (- 80a b + 80a b)c +--R + +--R 6 3 4 5 2 7 7 3 5 5 3 +--R (16a b + 8a b - 64a b + 40a )c + 24a b + 8a b - 88a b +--R + +--R 7 +--R 56a b +--R * +--R 2 +--R cosh(x) +--R + +--R 7 2 2 6 3 2 5 +--R 4b c + (- 8b - 24a )c + (- 4b + 8a b)c +--R + +--R 4 2 2 4 4 5 4 3 +--R (16b + 56a b - 32a )c + (- 4b + 4a b)c +--R + +--R 6 2 4 4 2 6 2 7 2 5 4 3 +--R (- 8b - 56a b + 56a b + 8a )c + (4b - 8a b + 4a b )c +--R + +--R 2 6 4 4 6 2 8 +--R 24a b - 32a b - 8a b + 16a +--R * +--R cosh(x) +--R + +--R 7 6 2 5 3 3 4 +--R 4a c - 8a b c - 4a b c + (16a b - 8a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (- 4a b + 16a b - 12a )c + (- 8a b + 8a b)c +--R + +--R 6 3 4 5 2 7 3 5 5 3 7 +--R (4a b - 16a b + 20a b - 8a )c + 8a b - 16a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 6 3 5 4 2 2 4 5 2 3 3 +--R 2b c + 4b c + (- 2b + 4a b )c + (- 8b + 8a b )c +--R + +--R 6 4 2 2 7 2 5 4 3 8 2 6 4 4 +--R (- 2b + 2a b )c + (4b - 8a b + 4a b )c + 2b - 4a b + 2a b +--R * +--R 6 +--R cosh(x) +--R + +--R 6 2 5 3 3 4 4 3 2 3 +--R 4a b c + 16a b c + (4a b + 8a b)c + (- 32a b + 32a b )c +--R + +--R 5 3 3 5 2 6 3 4 5 2 7 +--R (- 20a b + 16a b + 4a b)c + (16a b - 32a b + 16a b )c + 12a b +--R + +--R 3 5 5 3 +--R - 24a b + 12a b +--R * +--R 5 +--R cosh(x) +--R + +--R 2 2 6 2 5 4 2 2 4 4 +--R (- 4b + 2a )c + 20a b c + (12b + 14a b + 4a )c +--R + +--R 2 3 4 3 6 2 4 4 2 6 2 +--R (- 40a b + 40a b)c + (- 12b - 34a b + 44a b + 2a )c +--R + +--R 2 5 4 3 6 8 2 6 4 4 6 2 +--R (20a b - 40a b + 20a b)c + 4b + 18a b - 48a b + 26a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 2 3 5 3 3 4 +--R - 8a b c + (- 8a b + 8a )c + (32a b + 8a b)c +--R + +--R 4 3 2 5 3 5 5 2 +--R (16a b - 32a b + 16a )c + (- 40a b + 40a b)c +--R + +--R 6 3 4 5 2 7 7 3 5 5 3 7 +--R (- 8a b + 24a b - 24a b + 8a )c + 16a b - 8a b - 32a b + 24a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 2 6 3 2 5 4 2 2 4 +--R (2b - 4a )c + (- 4b - 16a b)c + (- 2b + 32a b )c +--R + +--R 5 2 3 4 3 6 2 4 4 2 6 2 +--R (8b + 24a b - 32a b)c + (- 2b - 44a b + 34a b + 12a )c +--R + +--R 7 2 5 4 3 6 8 2 6 4 4 6 2 +--R (- 4b - 8a b + 28a b - 16a b)c + 2b + 16a b - 30a b + 4a b +--R + +--R 8 +--R 8a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 2 3 5 3 3 4 +--R 4a b c + (- 8a b - 8a )c + (- 4a b + 16a b)c +--R + +--R 4 5 3 5 3 3 5 2 +--R (16a b - 16a )c + (- 4a b - 16a b + 20a b)c +--R + +--R 6 3 4 5 2 7 7 5 3 7 +--R (- 8a b + 8a b + 8a b - 8a )c + 4a b - 12a b + 8a b +--R * +--R cosh(x) +--R + +--R 2 6 2 5 2 2 4 4 2 3 4 3 +--R 2a c - 4a b c + (- 2a b + 4a )c + (8a b - 8a b)c +--R + +--R 2 4 6 2 2 5 4 3 6 2 6 4 4 6 2 +--R (- 2a b + 2a )c + (- 4a b + 8a b - 4a b)c + 2a b - 4a b + 2a b +--R * +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R \|- c + b - a \|c - b + a +--R Type: Expression Integer +--E 233 + +--S 234 of 518 +--d0945b:= D(m0945b,x) +--E 234 + +--S 235 of 518 +t0946:= 1/(a+a*cosh(x)+c*sinh(x))^2 +--R +--R +--R (229) +--R 1 +--R ------------------------------------------------------------------------ +--R 2 2 2 2 2 2 +--R c sinh(x) + (2a c cosh(x) + 2a c)sinh(x) + a cosh(x) + 2a cosh(x) + a +--R Type: Expression Integer +--E 235 + +--S 236 of 518 +r0946:= a*log(a+c*tanh(1/2*x))/c^3-(c*cosh(x)+a*sinh(x))/c^2/_ + (a+a*cosh(x)+c*sinh(x)) +--R +--R +--R (230) +--R 2 2 x 2 +--R (a c sinh(x) + a cosh(x) + a )log(c tanh(-) + a) - a c sinh(x) - c cosh(x) +--R 2 +--R -------------------------------------------------------------------------- +--R 4 3 3 +--R c sinh(x) + a c cosh(x) + a c +--R Type: Expression Integer +--E 236 + +--S 237 of 518 +a0946:= integrate(t0946,x) +--R +--R +--R (231) +--R 2 2 2 2 +--R (a c + a )sinh(x) + ((2a c + 2a )cosh(x) + 2a )sinh(x) +--R + +--R 2 2 2 2 +--R (a c + a )cosh(x) + 2a cosh(x) - a c + a +--R * +--R log((c + a)sinh(x) + (c + a)cosh(x) - c + a) +--R + +--R 2 2 2 2 +--R (- a c - a )sinh(x) + ((- 2a c - 2a )cosh(x) - 2a )sinh(x) +--R + +--R 2 2 2 2 +--R (- a c - a )cosh(x) - 2a cosh(x) + a c - a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 +--R 2a c sinh(x) + 2a c cosh(x) - 2c + 2a c +--R / +--R 4 3 2 4 3 3 +--R (c + a c )sinh(x) + ((2c + 2a c )cosh(x) + 2a c )sinh(x) +--R + +--R 4 3 2 3 4 3 +--R (c + a c )cosh(x) + 2a c cosh(x) - c + a c +--R Type: Union(Expression Integer,...) +--E 237 + +--S 238 of 518 +m0946:= a0946-r0946 +--R +--R +--R (232) +--R 2 2 3 +--R (- a c - a c)sinh(x) +--R + +--R 2 2 3 2 3 2 +--R ((- 2a c - 3a c - a )cosh(x) - 3a c - a )sinh(x) +--R + +--R 2 2 3 2 2 3 2 +--R (- a c - 3a c - 2a )cosh(x) + (- 4a c - 4a )cosh(x) + a c +--R + +--R 2 3 +--R - a c - 2a +--R * +--R sinh(x) +--R + +--R 2 3 3 2 3 2 2 3 +--R (- a c - a )cosh(x) + (- a c - 3a )cosh(x) + (a c - 3a )cosh(x) +--R + +--R 2 3 +--R a c - a +--R * +--R x +--R log(c tanh(-) + a) +--R 2 +--R + +--R 2 2 3 +--R (a c + a c)sinh(x) +--R + +--R 2 2 3 2 3 2 +--R ((2a c + 3a c + a )cosh(x) + 3a c + a )sinh(x) +--R + +--R 2 2 3 2 2 3 2 2 +--R (a c + 3a c + 2a )cosh(x) + (4a c + 4a )cosh(x) - a c + a c +--R + +--R 3 +--R 2a +--R * +--R sinh(x) +--R + +--R 2 3 3 2 3 2 2 3 2 +--R (a c + a )cosh(x) + (a c + 3a )cosh(x) + (- a c + 3a )cosh(x) - a c +--R + +--R 3 +--R a +--R * +--R log((c + a)sinh(x) + (c + a)cosh(x) - c + a) +--R + +--R 2 2 3 +--R (- a c - a c)sinh(x) +--R + +--R 2 2 3 2 3 2 +--R ((- 2a c - 3a c - a )cosh(x) - 3a c - a )sinh(x) +--R + +--R 2 2 3 2 2 3 2 +--R (- a c - 3a c - 2a )cosh(x) + (- 4a c - 4a )cosh(x) + a c +--R + +--R 2 3 +--R - a c - 2a +--R * +--R sinh(x) +--R + +--R 2 3 3 2 3 2 2 3 +--R (- a c - a )cosh(x) + (- a c - 3a )cosh(x) + (a c - 3a )cosh(x) +--R + +--R 2 3 +--R a c - a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 3 +--R (a c + a c)sinh(x) +--R + +--R 3 2 2 2 2 2 +--R ((c + 3a c + 2a c)cosh(x) + 2a c + 2a c)sinh(x) +--R + +--R 3 2 2 2 2 2 3 2 +--R (2c + 3a c + a c)cosh(x) + (4a c + 4a c)cosh(x) - 2c + a c +--R + +--R 2 +--R 3a c +--R * +--R sinh(x) +--R + +--R 3 2 3 2 2 2 +--R (c + a c )cosh(x) + (2a c + 2a c)cosh(x) +--R + +--R 3 2 2 2 2 +--R (- c - a c + 4a c)cosh(x) - 2a c + 2a c +--R / +--R 5 4 3 +--R (c + a c )sinh(x) +--R + +--R 5 4 2 3 4 2 3 2 +--R ((2c + 3a c + a c )cosh(x) + 3a c + a c )sinh(x) +--R + +--R 5 4 2 3 2 4 2 3 5 4 +--R (c + 3a c + 2a c )cosh(x) + (4a c + 4a c )cosh(x) - c + a c +--R + +--R 2 3 +--R 2a c +--R * +--R sinh(x) +--R + +--R 4 2 3 3 4 2 3 2 4 2 3 +--R (a c + a c )cosh(x) + (a c + 3a c )cosh(x) + (- a c + 3a c )cosh(x) +--R + +--R 4 2 3 +--R - a c + a c +--R Type: Expression Integer +--E 238 + +--S 239 of 518 +d0946:= D(m0946,x) +--R +--R +--R (233) +--R 4 2 3 3 2 6 +--R (a c + 2a c + a c )sinh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 +--R ((4a c + 10a c + 8a c + 2a c)cosh(x) + 6a c + 8a c + 2a c) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (6a c + 20a c + 23a c + 10a c + a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 3 2 4 +--R (20a c + 38a c + 20a c + 2a )cosh(x) - 2a c + 15a c + 10a c +--R + +--R 5 +--R a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (4a c + 20a c + 32a c + 20a c + 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 +--R (24a c + 68a c + 56a c + 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 3 3 2 +--R (- 4a c - 4a c + 40a c + 52a c + 12a )cosh(x) - 8a c + 4a c +--R + +--R 4 5 +--R 16a c + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (a c + 10a c + 23a c + 20a c + 6a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (12a c + 56a c + 68a c + 24a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 2a c - 8a c + 34a c + 84a c + 36a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 2 3 3 2 +--R (- 12a c - 8a c + 44a c + 24a )cosh(x) + a c - 2a c - 9a c +--R + +--R 4 5 +--R 8a c + 6a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 4 5 5 +--R (2a c + 8a c + 10a c + 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (2a c + 20a c + 38a c + 20a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 4a c + 8a c + 52a c + 40a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 +--R (- 4a c - 16a c + 28a c + 40a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 3 3 2 4 5 +--R (2a c - 16a c + 2a c + 20a )cosh(x) + 2a c - 4a c - 2a c + 4a +--R * +--R sinh(x) +--R + +--R 3 2 4 5 6 3 2 4 5 5 +--R (a c + 2a c + a )cosh(x) + (2a c + 8a c + 6a )cosh(x) +--R + +--R 3 2 4 5 4 3 2 5 3 +--R (- a c + 10a c + 15a )cosh(x) + (- 4a c + 20a )cosh(x) +--R + +--R 3 2 4 5 2 3 2 4 5 3 2 +--R (- a c - 10a c + 15a )cosh(x) + (2a c - 8a c + 6a )cosh(x) + a c +--R + +--R 4 5 +--R - 2a c + a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 4 3 2 4 6 +--R (2c + 4a c - 4a c - 2a c)sinh(x) +--R + +--R 5 4 3 2 4 4 2 3 3 2 +--R (8c + 16a c - 16a c - 8a c)cosh(x) + 10a c + 12a c - 6a c +--R + +--R 4 +--R - 8a c +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 4 2 +--R (10c + 20a c - 20a c - 10a c)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 3 3 2 +--R (32a c + 42a c - 12a c - 22a c)cosh(x) + 4c + 24a c + 8a c +--R + +--R 4 +--R - 12a c +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (28a c + 48a c + 12a c - 8a c)cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 2 3 +--R (8c + 16a c + 56a c + 32a c - 16a c)cosh(x) + 4a c + 8a c +--R + +--R 3 2 4 +--R 20a c - 8a c +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 4 4 +--R (- 10c - 20a c + 20a c + 10a c)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 8a c + 12a c + 48a c + 28a c)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (8c + 32a c + 32a c + 48a c + 24a c)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 3 2 +--R (16a c + 20a c + 32a c + 4a c)cosh(x) + 2c - 4a c + 12a c +--R + +--R 4 +--R - 2a c +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 4 5 +--R (- 8c - 16a c + 16a c + 8a c)cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 22a c - 12a c + 42a c + 32a c)cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (8c + 16a c - 8a c + 32a c + 48a c)cosh(x) +--R + +--R 4 2 3 3 2 4 2 2 3 4 +--R (20a c + 16a c + 4a c + 32a c)cosh(x) + (8a c + 8a c)cosh(x) +--R + +--R 4 2 3 3 2 +--R 2a c - 4a c + 2a c +--R * +--R sinh(x) +--R + +--R 5 4 3 2 4 6 +--R (- 2c - 4a c + 4a c + 2a c)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 8a c - 6a c + 12a c + 10a c)cosh(x) +--R + +--R 5 2 3 3 2 4 4 +--R (4c - 8a c + 8a c + 20a c)cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (8a c + 4a c - 8a c + 20a c)cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (- 2c + 4a c + 8a c - 12a c + 10a c)cosh(x) +--R + +--R 2 3 3 2 4 +--R (2a c - 4a c + 2a c)cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 2 3 3 2 4 5 6 +--R (a c + 2a c - a c - 4a c - 2a )sinh(x) +--R + +--R 4 2 3 3 2 4 5 2 3 3 2 4 +--R (4a c + 6a c - 8a c - 18a c - 8a )cosh(x) + 4a c + 4a c - 8a c +--R + +--R 5 +--R - 8a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 4 5 2 +--R (4a c - 23a c - 30a c - 11a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 3 2 4 5 +--R (12a c + 4a c - 32a c - 24a )cosh(x) + 6a c + 9a c - 2a c - 13a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 4a c - 20a c - 32a c - 20a c - 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 +--R (4a c - 20a c - 44a c - 20a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 3 3 2 +--R (12a c + 20a c + 16a c - 20a c - 28a )cosh(x) + 12a c + 4a c +--R + +--R 4 5 +--R 4a c - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 5 4 +--R (- 11a c - 30a c - 23a c + 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (- 20a c - 44a c - 20a c + 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (10a c + 40a c - 2a c - 36a c - 12a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 2 3 3 2 4 +--R (28a c + 28a c - 12a c - 20a )cosh(x) + a c - 2a c + 9a c + 4a c +--R + +--R 5 +--R - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 8a c - 18a c - 8a c + 6a c + 4a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 24a c - 32a c + 4a c + 12a )cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (8a c + 20a c - 16a c - 20a c + 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 2 +--R (24a c + 32a c - 24a c - 8a )cosh(x) +--R + +--R 2 3 3 2 4 5 4 5 +--R (- 2a c + 24a c - 2a c - 12a )cosh(x) + 4a c - 4a +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 4 5 6 +--R (- 2a c - 4a c - a c + 2a c + a )cosh(x) +--R + +--R 2 3 3 2 4 5 5 +--R (- 8a c - 8a c + 4a c + 4a )cosh(x) +--R + +--R 4 3 2 4 5 4 2 3 3 2 4 3 +--R (4a c - 7a c - 2a c + 5a )cosh(x) + (8a c + 8a c - 8a c)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 4 5 +--R (- 2a c + 4a c + 9a c - 2a c - 5a )cosh(x) + (4a c - 4a )cosh(x) +--R + +--R 3 2 4 5 +--R - a c + 2a c - a +--R / +--R 7 6 2 5 6 +--R (2c + 4a c + 2a c )sinh(x) +--R + +--R 7 6 2 5 3 4 6 2 5 3 4 +--R ((8c + 20a c + 16a c + 4a c )cosh(x) + 12a c + 16a c + 4a c ) +--R * +--R 5 +--R sinh(x) +--R + +--R 7 6 2 5 3 4 4 3 2 +--R (12c + 40a c + 46a c + 20a c + 2a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 7 2 5 3 4 +--R (40a c + 76a c + 40a c + 4a c )cosh(x) - 4c + 30a c + 20a c +--R + +--R 4 3 +--R 2a c +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (8c + 40a c + 64a c + 40a c + 8a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 2 +--R (48a c + 136a c + 112a c + 24a c )cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 6 +--R (- 8c - 8a c + 80a c + 104a c + 24a c )cosh(x) - 16a c +--R + +--R 2 5 3 4 4 3 +--R 8a c + 32a c + 8a c +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (2c + 20a c + 46a c + 40a c + 12a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 3 +--R (24a c + 112a c + 136a c + 48a c )cosh(x) +--R + +--R 7 6 2 5 3 4 4 3 2 +--R (- 4c - 16a c + 68a c + 168a c + 72a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 7 6 +--R (- 24a c - 16a c + 88a c + 48a c )cosh(x) + 2c - 4a c +--R + +--R 2 5 3 4 4 3 +--R - 18a c + 16a c + 12a c +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 +--R (4a c + 16a c + 20a c + 8a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 4 +--R (4a c + 40a c + 76a c + 40a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 3 +--R (- 8a c + 16a c + 104a c + 80a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 2 +--R (- 8a c - 32a c + 56a c + 80a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 6 2 5 3 4 +--R (4a c - 32a c + 4a c + 40a c )cosh(x) + 4a c - 8a c - 4a c +--R + +--R 4 3 +--R 8a c +--R * +--R sinh(x) +--R + +--R 2 5 3 4 4 3 6 2 5 3 4 4 3 5 +--R (2a c + 4a c + 2a c )cosh(x) + (4a c + 16a c + 12a c )cosh(x) +--R + +--R 2 5 3 4 4 3 4 2 5 4 3 3 +--R (- 2a c + 20a c + 30a c )cosh(x) + (- 8a c + 40a c )cosh(x) +--R + +--R 2 5 3 4 4 3 2 +--R (- 2a c - 20a c + 30a c )cosh(x) +--R + +--R 2 5 3 4 4 3 2 5 3 4 4 3 +--R (4a c - 16a c + 12a c )cosh(x) + 2a c - 4a c + 2a c +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 6 2 5 3 4 6 +--R (2a c + 4a c + 2a c )sinh(x) +--R + +--R 6 2 5 3 4 4 3 2 5 3 4 4 3 +--R ((8a c + 20a c + 16a c + 4a c )cosh(x) + 12a c + 16a c + 4a c ) +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 2 +--R (12a c + 40a c + 46a c + 20a c + 2a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 3 4 4 3 +--R (40a c + 76a c + 40a c + 4a c )cosh(x) - 4a c + 30a c + 20a c +--R + +--R 5 2 +--R 2a c +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 3 +--R (8a c + 40a c + 64a c + 40a c + 8a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 +--R (48a c + 136a c + 112a c + 24a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 2 5 3 4 +--R (- 8a c - 8a c + 80a c + 104a c + 24a c )cosh(x) - 16a c + 8a c +--R + +--R 4 3 5 2 +--R 32a c + 8a c +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 4 +--R (2a c + 20a c + 46a c + 40a c + 12a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (24a c + 112a c + 136a c + 48a c )cosh(x) +--R + +--R 6 2 5 3 4 4 3 5 2 2 +--R (- 4a c - 16a c + 68a c + 168a c + 72a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 5 3 4 +--R (- 24a c - 16a c + 88a c + 48a c )cosh(x) + 2a c - 4a c - 18a c +--R + +--R 4 3 5 2 +--R 16a c + 12a c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 4 3 5 2 5 +--R (4a c + 16a c + 20a c + 8a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 4 +--R (4a c + 40a c + 76a c + 40a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (- 8a c + 16a c + 104a c + 80a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 +--R (- 8a c - 32a c + 56a c + 80a c )cosh(x) +--R + +--R 2 5 3 4 4 3 5 2 2 5 3 4 4 3 +--R (4a c - 32a c + 4a c + 40a c )cosh(x) + 4a c - 8a c - 4a c +--R + +--R 5 2 +--R 8a c +--R * +--R sinh(x) +--R + +--R 3 4 4 3 5 2 6 3 4 4 3 5 2 5 +--R (2a c + 4a c + 2a c )cosh(x) + (4a c + 16a c + 12a c )cosh(x) +--R + +--R 3 4 4 3 5 2 4 3 4 5 2 3 +--R (- 2a c + 20a c + 30a c )cosh(x) + (- 8a c + 40a c )cosh(x) +--R + +--R 3 4 4 3 5 2 2 3 4 4 3 5 2 +--R (- 2a c - 20a c + 30a c )cosh(x) + (4a c - 16a c + 12a c )cosh(x) +--R + +--R 3 4 4 3 5 2 +--R 2a c - 4a c + 2a c +--R Type: Expression Integer +--E 239 + +--S 240 of 518 +t0947:= 1/(a+a*cosh(x)+c*sinh(x))^3 +--R +--R +--R (234) +--R 1 +--R / +--R 3 3 2 2 2 +--R c sinh(x) + (3a c cosh(x) + 3a c )sinh(x) +--R + +--R 2 2 2 2 3 3 3 2 +--R (3a c cosh(x) + 6a c cosh(x) + 3a c)sinh(x) + a cosh(x) + 3a cosh(x) +--R + +--R 3 3 +--R 3a cosh(x) + a +--R Type: Expression Integer +--E 240 + +--S 241 of 518 +r0947:= -1/2*(c*cosh(x)+a*sinh(x))/c^2/(a+a*cosh(x)+c*sinh(x))^2+_ + 1/2*((3*a^2-c^2)*log(a+c*tanh(1/2*x))-_ + 3*a*c*(c*cosh(x)+a*sinh(x))/(a+a*cosh(x)+c*sinh(x)))/c^5 +--R +--R +--R (235) +--R 4 2 2 2 +--R (- c + 3a c )sinh(x) +--R + +--R 3 3 3 3 +--R ((- 2a c + 6a c)cosh(x) - 2a c + 6a c)sinh(x) +--R + +--R 2 2 4 2 2 2 4 2 2 4 +--R (- a c + 3a )cosh(x) + (- 2a c + 6a )cosh(x) - a c + 3a +--R * +--R x +--R log(c tanh(-) + a) +--R 2 +--R + +--R 2 2 2 3 3 3 3 +--R - 3a c sinh(x) + ((- 3a c - 3a c)cosh(x) - a c - 3a c)sinh(x) +--R + +--R 2 2 2 4 2 2 +--R - 3a c cosh(x) + (- c - 3a c )cosh(x) +--R / +--R 7 2 6 6 2 5 2 +--R 2c sinh(x) + (4a c cosh(x) + 4a c )sinh(x) + 2a c cosh(x) +--R + +--R 2 5 2 5 +--R 4a c cosh(x) + 2a c +--R Type: Expression Integer +--E 241 + +--S 242 of 518 +a0947:= integrate(t0947,x) +--R +--R +--R (236) +--R 4 3 2 2 3 4 4 +--R (- c - 2a c + 2a c + 6a c + 3a )sinh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (- 4c - 8a c + 8a c + 24a c + 12a )cosh(x) - 4a c - 4a c +--R + +--R 3 4 +--R 12a c + 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (- 6c - 12a c + 12a c + 36a c + 18a )cosh(x) +--R + +--R 3 2 2 3 4 4 2 2 4 +--R (- 12a c - 12a c + 36a c + 36a )cosh(x) + 2c - 12a c + 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 4c - 8a c + 8a c + 24a c + 12a )cosh(x) +--R + +--R 3 2 2 3 4 2 +--R (- 12a c - 12a c + 36a c + 36a )cosh(x) +--R + +--R 4 2 2 4 3 2 2 3 4 +--R (4c - 24a c + 36a )cosh(x) + 4a c - 4a c - 12a c + 12a +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- c - 2a c + 2a c + 6a c + 3a )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 4a c - 4a c + 12a c + 12a )cosh(x) +--R + +--R 4 2 2 4 2 3 2 2 3 4 +--R (2c - 12a c + 18a )cosh(x) + (4a c - 4a c - 12a c + 12a )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R - c + 2a c + 2a c - 6a c + 3a +--R * +--R log((c + a)sinh(x) + (c + a)cosh(x) - c + a) +--R + +--R 4 3 2 2 3 4 4 +--R (c + 2a c - 2a c - 6a c - 3a )sinh(x) +--R + +--R 4 3 2 2 3 4 3 2 2 +--R (4c + 8a c - 8a c - 24a c - 12a )cosh(x) + 4a c + 4a c +--R + +--R 3 4 +--R - 12a c - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (6c + 12a c - 12a c - 36a c - 18a )cosh(x) +--R + +--R 3 2 2 3 4 4 2 2 4 +--R (12a c + 12a c - 36a c - 36a )cosh(x) - 2c + 12a c - 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4c + 8a c - 8a c - 24a c - 12a )cosh(x) +--R + +--R 3 2 2 3 4 2 +--R (12a c + 12a c - 36a c - 36a )cosh(x) +--R + +--R 4 2 2 4 3 2 2 3 4 +--R (- 4c + 24a c - 36a )cosh(x) - 4a c + 4a c + 12a c - 12a +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (c + 2a c - 2a c - 6a c - 3a )cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (4a c + 4a c - 12a c - 12a )cosh(x) +--R + +--R 4 2 2 4 2 +--R (- 2c + 12a c - 18a )cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 3 +--R (- 4a c + 4a c + 12a c - 12a )cosh(x) + c - 2a c - 2a c + 6a c +--R + +--R 4 +--R - 3a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 4 3 2 2 3 3 +--R (- 2c - 2a c + 6a c + 6a c)sinh(x) +--R + +--R 4 3 2 2 3 3 3 2 +--R ((- 6c - 6a c + 18a c + 18a c)cosh(x) - 6a c + 18a c)sinh(x) +--R + +--R 4 3 2 2 3 2 3 3 +--R (- 6c - 6a c + 18a c + 18a c)cosh(x) + (- 12a c + 36a c)cosh(x) +--R + +--R 4 3 2 2 3 +--R - 2c + 2a c - 18a c + 18a c +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 3 3 3 2 +--R (- 2c - 2a c + 6a c + 6a c)cosh(x) + (- 6a c + 18a c)cosh(x) +--R + +--R 4 3 2 2 3 3 2 2 3 +--R (- 2c + 2a c - 18a c + 18a c)cosh(x) + 6a c - 12a c + 6a c +--R / +--R 7 6 2 5 4 +--R (2c + 4a c + 2a c )sinh(x) +--R + +--R 7 6 2 5 6 2 5 3 +--R ((8c + 16a c + 8a c )cosh(x) + 8a c + 8a c )sinh(x) +--R + +--R 7 6 2 5 2 6 2 5 7 +--R (12c + 24a c + 12a c )cosh(x) + (24a c + 24a c )cosh(x) - 4c +--R + +--R 2 5 +--R 12a c +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 2 5 3 6 2 5 2 +--R (8c + 16a c + 8a c )cosh(x) + (24a c + 24a c )cosh(x) +--R + +--R 7 2 5 6 2 5 +--R (- 8c + 24a c )cosh(x) - 8a c + 8a c +--R * +--R sinh(x) +--R + +--R 7 6 2 5 4 6 2 5 3 +--R (2c + 4a c + 2a c )cosh(x) + (8a c + 8a c )cosh(x) +--R + +--R 7 2 5 2 6 2 5 7 6 2 5 +--R (- 4c + 12a c )cosh(x) + (- 8a c + 8a c )cosh(x) + 2c - 4a c + 2a c +--R Type: Union(Expression Integer,...) +--E 242 + +--S 243 of 518 +m0947:= a0947-r0947 +--R +--R +--R (237) +--R 6 5 2 4 3 3 4 2 6 +--R (c + 2a c - 2a c - 6a c - 3a c )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (4c + 10a c - 4a c - 28a c - 24a c - 6a c)cosh(x) + 6a c +--R + +--R 2 4 3 3 4 2 5 +--R 8a c - 16a c - 24a c - 6a c +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 +--R (6c + 20a c + 5a c - 50a c - 68a c - 30a c - 3a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (20a c + 38a c - 40a c - 112a c - 60a c - 6a )cosh(x) - 2c +--R + +--R 2 4 3 3 4 2 5 6 +--R 21a c + 10a c - 44a c - 30a c - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 3 +--R (4c + 20a c + 20a c - 40a c - 92a c - 60a c - 12a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (24a c + 68a c - 16a c - 192a c - 168a c - 36a )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 4c - 4a c + 52a c + 64a c - 108a c - 156a c - 36a ) +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 8a c + 4a c + 40a c - 8a c - 48a c - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (c + 10a c + 20a c - 10a c - 63a c - 60a c - 18a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (12a c + 56a c + 32a c - 144a c - 204a c - 72a )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2c - 8a c + 40a c + 108a c - 66a c - 252a c - 108a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 12a c - 8a c + 80a c + 48a c - 132a c - 72a )cosh(x) + c +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 2a c - 12a c + 14a c + 33a c - 24a c - 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (2a c + 8a c + 4a c - 20a c - 30a c - 12a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (2a c + 20a c + 32a c - 40a c - 114a c - 60a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (- 4a c + 8a c + 64a c + 16a c - 156a c - 120a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (- 4a c - 16a c + 40a c + 88a c - 84a c - 120a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (2a c - 16a c - 4a c + 68a c - 6a c - 60a )cosh(x) + 2a c +--R + +--R 2 4 3 3 4 2 5 6 +--R - 4a c - 8a c + 16a c + 6a c - 12a +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (a c + 2a c - 2a c - 6a c - 3a )cosh(x) +--R + +--R 2 4 3 3 5 6 5 +--R (2a c + 8a c - 24a c - 18a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- a c + 10a c + 18a c - 30a c - 45a )cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 4a c + 32a c - 60a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- a c - 10a c + 18a c + 30a c - 45a )cosh(x) +--R + +--R 2 4 3 3 5 6 2 4 3 3 4 2 5 +--R (2a c - 8a c + 24a c - 18a )cosh(x) + a c - 2a c - 2a c + 6a c +--R + +--R 6 +--R - 3a +--R * +--R x +--R log(c tanh(-) + a) +--R 2 +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- c - 2a c + 2a c + 6a c + 3a c )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 4c - 10a c + 4a c + 28a c + 24a c + 6a c)cosh(x) - 6a c +--R + +--R 2 4 3 3 4 2 5 +--R - 8a c + 16a c + 24a c + 6a c +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 +--R (- 6c - 20a c - 5a c + 50a c + 68a c + 30a c + 3a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 20a c - 38a c + 40a c + 112a c + 60a c + 6a )cosh(x) + 2c +--R + +--R 2 4 3 3 4 2 5 6 +--R - 21a c - 10a c + 44a c + 30a c + 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 4c - 20a c - 20a c + 40a c + 92a c + 60a c + 12a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (- 24a c - 68a c + 16a c + 192a c + 168a c + 36a )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (4c + 4a c - 52a c - 64a c + 108a c + 156a c + 36a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 8a c - 4a c - 40a c + 8a c + 48a c + 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- c - 10a c - 20a c + 10a c + 63a c + 60a c + 18a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (- 12a c - 56a c - 32a c + 144a c + 204a c + 72a )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (2c + 8a c - 40a c - 108a c + 66a c + 252a c + 108a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (12a c + 8a c - 80a c - 48a c + 132a c + 72a )cosh(x) - c +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 2a c + 12a c - 14a c - 33a c + 24a c + 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 2a c - 8a c - 4a c + 20a c + 30a c + 12a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (- 2a c - 20a c - 32a c + 40a c + 114a c + 60a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (4a c - 8a c - 64a c - 16a c + 156a c + 120a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (4a c + 16a c - 40a c - 88a c + 84a c + 120a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 2a c + 16a c + 4a c - 68a c + 6a c + 60a )cosh(x) - 2a c +--R + +--R 2 4 3 3 4 2 5 6 +--R 4a c + 8a c - 16a c - 6a c + 12a +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- a c - 2a c + 2a c + 6a c + 3a )cosh(x) +--R + +--R 2 4 3 3 5 6 5 +--R (- 2a c - 8a c + 24a c + 18a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (a c - 10a c - 18a c + 30a c + 45a )cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (4a c - 32a c + 60a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (a c + 10a c - 18a c - 30a c + 45a )cosh(x) +--R + +--R 2 4 3 3 5 6 2 4 3 3 4 2 5 +--R (- 2a c + 8a c - 24a c + 18a )cosh(x) - a c + 2a c + 2a c - 6a c +--R + +--R 6 +--R 3a +--R * +--R log((c + a)sinh(x) + (c + a)cosh(x) - c + a) +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (c + 2a c - 2a c - 6a c - 3a c )sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (4c + 10a c - 4a c - 28a c - 24a c - 6a c)cosh(x) + 6a c +--R + +--R 2 4 3 3 4 2 5 +--R 8a c - 16a c - 24a c - 6a c +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 +--R (6c + 20a c + 5a c - 50a c - 68a c - 30a c - 3a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (20a c + 38a c - 40a c - 112a c - 60a c - 6a )cosh(x) - 2c +--R + +--R 2 4 3 3 4 2 5 6 +--R 21a c + 10a c - 44a c - 30a c - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 3 +--R (4c + 20a c + 20a c - 40a c - 92a c - 60a c - 12a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (24a c + 68a c - 16a c - 192a c - 168a c - 36a )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 4c - 4a c + 52a c + 64a c - 108a c - 156a c - 36a ) +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 8a c + 4a c + 40a c - 8a c - 48a c - 12a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (c + 10a c + 20a c - 10a c - 63a c - 60a c - 18a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (12a c + 56a c + 32a c - 144a c - 204a c - 72a )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2c - 8a c + 40a c + 108a c - 66a c - 252a c - 108a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 12a c - 8a c + 80a c + 48a c - 132a c - 72a )cosh(x) + c +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 2a c - 12a c + 14a c + 33a c - 24a c - 18a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (2a c + 8a c + 4a c - 20a c - 30a c - 12a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (2a c + 20a c + 32a c - 40a c - 114a c - 60a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (- 4a c + 8a c + 64a c + 16a c - 156a c - 120a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (- 4a c - 16a c + 40a c + 88a c - 84a c - 120a )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (2a c - 16a c - 4a c + 68a c - 6a c - 60a )cosh(x) + 2a c +--R + +--R 2 4 3 3 4 2 5 6 +--R - 4a c - 8a c + 16a c + 6a c - 12a +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (a c + 2a c - 2a c - 6a c - 3a )cosh(x) +--R + +--R 2 4 3 3 5 6 5 +--R (2a c + 8a c - 24a c - 18a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- a c + 10a c + 18a c - 30a c - 45a )cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 4a c + 32a c - 60a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- a c - 10a c + 18a c + 30a c - 45a )cosh(x) +--R + +--R 2 4 3 3 5 6 2 4 3 3 4 2 5 +--R (2a c - 8a c + 24a c - 18a )cosh(x) + a c - 2a c - 2a c + 6a c +--R + +--R 6 +--R - 3a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 4 3 3 4 2 6 +--R (3a c + 6a c + 3a c )sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (3a c + 18a c + 30a c + 18a c + 3a c)cosh(x) - 2c - a c + 8a c +--R + +--R 3 3 4 2 5 +--R 22a c + 18a c + 3a c +--R * +--R 5 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (12a c + 45a c + 66a c + 45a c + 12a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 5c - 4a c + 38a c + 100a c + 87a c + 24a c)cosh(x) - 10a c +--R + +--R 2 4 3 3 4 2 5 +--R - 6a c + 34a c + 42a c + 12a c +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (18a c + 60a c + 84a c + 60a c + 18a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 2c - 4a c + 68a c + 184a c + 174a c + 60a c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 4 +--R (- 26a c - 24a c + 104a c + 168a c + 66a c)cosh(x) - 2c - 32a c +--R + +--R 3 3 4 2 5 +--R 4a c + 54a c + 24a c +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (12a c + 45a c + 66a c + 45a c + 12a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 +--R (4c + 2a c + 56a c + 172a c + 180a c + 66a c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 18a c - 36a c + 108a c + 252a c + 126a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 4c - 6a c - 56a c - 36a c + 144a c + 102a c)cosh(x) + 2a c +--R + +--R 2 4 3 3 4 2 5 +--R - 9a c - 38a c + 27a c + 30a c +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (3a c + 18a c + 30a c + 18a c + 3a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (4c + 5a c + 20a c + 82a c + 96a c + 33a c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (2a c - 24a c + 40a c + 168a c + 102a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 4c - 6a c - 28a c - 64a c + 108a c + 138a c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 5 2 4 +--R (- 5a c + 6a c - 70a c + 6a c + 87a c)cosh(x) + a c + 8a c +--R + +--R 3 3 4 2 5 +--R - 18a c - 12a c + 21a c +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (3a c + 6a c + 3a c )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (c + 2a c + 2a c + 16a c + 21a c + 6a c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (4a c - 6a c + 2a c + 42a c + 30a c)cosh(x) +--R + +--R 6 2 4 3 3 4 2 5 3 +--R (- 2c - 4a c - 24a c + 18a c + 60a c)cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 4a c + 3a c - 14a c - 33a c + 60a c)cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 3 3 4 2 +--R (c - 2a c + 2a c + 8a c - 39a c + 30a c)cosh(x) + 6a c - 12a c +--R + +--R 5 +--R 6a c +--R / +--R 9 8 2 7 6 +--R (2c + 4a c + 2a c )sinh(x) +--R + +--R 9 8 2 7 3 6 8 2 7 3 6 +--R ((8c + 20a c + 16a c + 4a c )cosh(x) + 12a c + 16a c + 4a c ) +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (12c + 40a c + 46a c + 20a c + 2a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 9 2 7 3 6 +--R (40a c + 76a c + 40a c + 4a c )cosh(x) - 4c + 30a c + 20a c +--R + +--R 4 5 +--R 2a c +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (8c + 40a c + 64a c + 40a c + 8a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (48a c + 136a c + 112a c + 24a c )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 8 2 7 +--R (- 8c - 8a c + 80a c + 104a c + 24a c )cosh(x) - 16a c + 8a c +--R + +--R 3 6 4 5 +--R 32a c + 8a c +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (2c + 20a c + 46a c + 40a c + 12a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (24a c + 112a c + 136a c + 48a c )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (- 4c - 16a c + 68a c + 168a c + 72a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 9 8 2 7 +--R (- 24a c - 16a c + 88a c + 48a c )cosh(x) + 2c - 4a c - 18a c +--R + +--R 3 6 4 5 +--R 16a c + 12a c +--R * +--R 2 +--R sinh(x) +--R + +--R 8 2 7 3 6 4 5 5 +--R (4a c + 16a c + 20a c + 8a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (4a c + 40a c + 76a c + 40a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (- 8a c + 16a c + 104a c + 80a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (- 8a c - 32a c + 56a c + 80a c )cosh(x) +--R + +--R 8 2 7 3 6 4 5 8 2 7 3 6 +--R (4a c - 32a c + 4a c + 40a c )cosh(x) + 4a c - 8a c - 4a c +--R + +--R 4 5 +--R 8a c +--R * +--R sinh(x) +--R + +--R 2 7 3 6 4 5 6 2 7 3 6 4 5 5 +--R (2a c + 4a c + 2a c )cosh(x) + (4a c + 16a c + 12a c )cosh(x) +--R + +--R 2 7 3 6 4 5 4 2 7 4 5 3 +--R (- 2a c + 20a c + 30a c )cosh(x) + (- 8a c + 40a c )cosh(x) +--R + +--R 2 7 3 6 4 5 2 2 7 3 6 4 5 +--R (- 2a c - 20a c + 30a c )cosh(x) + (4a c - 16a c + 12a c )cosh(x) +--R + +--R 2 7 3 6 4 5 +--R 2a c - 4a c + 2a c +--R Type: Expression Integer +--E 243 + +--S 244 of 518 +--d0947:= D(m0947,x) +--E 244 + +--S 245 of 518 +t0948:= (a+b*cosh(x)+c*sinh(x))^(1/2) +--R +--R +--R +-------------------------+ +--R (238) \|c sinh(x) + b cosh(x) + a +--R Type: Expression Integer +--E 245 + +--S 246 of 518 +r0948:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(x+%i*atan(%i*c,b)),2/_ + (1-a/(b^2-c^2)^(1/2)))*(a+b*cosh(x)+c*sinh(x))^(1/2)/_ + ((a+b*cosh(x)+c*sinh(x))/(a-(b^2-c^2)^(1/2)))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Polynomial Complex Integer +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 246 + +--S 247 of 518 +a0948:= integrate(t0948,x) +--R +--R +--R x +--R ++ +-----------------------------+ +--R (239) | \|c sinh(%BA) + b cosh(%BA) + a d%BA +--R ++ +--R Type: Union(Expression Integer,...) +--E 247 + +--S 248 of 518 +m0948a:= a0948.1-r0948 +--R +--R There are 33 exposed and 3 unexposed library operations named elt +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op elt +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named elt +--R with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 248 + +--S 249 of 518 +d0948a:= D(m0948a,x) +--R +--R +--R (240) 0 +--R Type: Polynomial Integer +--E 249 + +--S 250 of 518 +m0948b:= a0948.2-r0948 +--R +--R There are 33 exposed and 3 unexposed library operations named elt +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op elt +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named elt +--R with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 250 + +--S 251 of 518 +d0948b:= D(m0948b,x) +--R +--R +--R (241) 0 +--R Type: Polynomial Integer +--E 251 + +--S 252 of 518 +t0949:= 1/(a+b*tanh(x)+c*sech(x)) +--R +--R +--R 1 +--R (242) ------------------------- +--R b tanh(x) + c sech(x) + a +--R Type: Expression Integer +--E 252 + +--S 253 of 518 +r0949:= a*x/(a^2-b^2)-2*a*c*atan((b+(a-c)*tanh(1/2*x))/_ + (a^2-b^2-c^2)^(1/2))/(a^2-b^2)/(a^2-b^2-c^2)^(1/2)-_ + b*log(c+a*cosh(x)+b*sinh(x))/(a^2-b^2) +--R +--R +--R (243) +--R +--------------+ +--R | 2 2 2 +--R b\|- c - b + a log(b sinh(x) + a cosh(x) + c) +--R + +--R x +--R (c - a)tanh(-) - b +--------------+ +--R 2 | 2 2 2 +--R - 2a c atan(------------------) - a x\|- c - b + a +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|- c - b + a +--R Type: Expression Integer +--E 253 + +--S 254 of 518 +a0949:= integrate(t0949,x) +--R +--R +--R (244) +--R [ +--R a c +--R * +--R log +--R 2 2 2 +--R (b + 2a b + a )sinh(x) +--R + +--R 2 2 +--R ((2b + 4a b + 2a )cosh(x) + (2b + 2a)c)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b + 2a b + a )cosh(x) + (2b + 2a)c cosh(x) + 2c + b +--R + +--R 2 +--R - a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 3 2 2 3 +--R ((- 2b - 2a)c - 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 2 3 2 2 3 3 +--R ((- 2b - 2a)c - 2b - 2a b + 2a b + 2a )cosh(x) - 2c +--R + +--R 2 2 +--R (- 2b + 2a )c +--R / +--R 2 +--R (b + a)sinh(x) + ((2b + 2a)cosh(x) + 2c)sinh(x) +--R + +--R 2 +--R (b + a)cosh(x) + 2c cosh(x) - b + a +--R + +--R +------------+ +--R | 2 2 2 - 2b sinh(x) - 2a cosh(x) - 2c +--R b\|c + b - a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +------------+ +--R | 2 2 2 +--R (- b - a)x\|c + b - a +--R / +--R +------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|c + b - a +--R , +--R +--R +--------------+ +--R | 2 2 2 - 2b sinh(x) - 2a cosh(x) - 2c +--R b\|- c - b + a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +--------------+ +--R | 2 2 2 +--R ((b + a)sinh(x) + (b + a)cosh(x) + c)\|- c - b + a +--R - 2a c atan(------------------------------------------------------) +--R 2 2 2 +--R c + b - a +--R + +--R +--------------+ +--R | 2 2 2 +--R (- b - a)x\|- c - b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|- c - b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 254 + +--S 255 of 518 +m0949a:= a0949.1-r0949 +--R +--R +--R (245) +--R +--------------+ +--R | 2 2 2 +--R a c\|- c - b + a +--R * +--R log +--R 2 2 2 +--R (b + 2a b + a )sinh(x) +--R + +--R 2 2 +--R ((2b + 4a b + 2a )cosh(x) + (2b + 2a)c)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (b + 2a b + a )cosh(x) + (2b + 2a)c cosh(x) + 2c + b - a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 3 2 2 3 +--R ((- 2b - 2a)c - 2b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 2 3 2 2 3 3 +--R ((- 2b - 2a)c - 2b - 2a b + 2a b + 2a )cosh(x) - 2c +--R + +--R 2 2 +--R (- 2b + 2a )c +--R / +--R 2 +--R (b + a)sinh(x) + ((2b + 2a)cosh(x) + 2c)sinh(x) +--R + +--R 2 +--R (b + a)cosh(x) + 2c cosh(x) - b + a +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R - b\|- c - b + a \|c + b - a log(b sinh(x) + a cosh(x) + c) +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 - 2b sinh(x) - 2a cosh(x) - 2c +--R b\|- c - b + a \|c + b - a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R x +--R +------------+ (c - a)tanh(-) - b +--R | 2 2 2 2 +--R 2a c\|c + b - a atan(------------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R - b x\|- c - b + a \|c + b - a +--R / +--R +--------------+ +------------+ +--R 2 2 | 2 2 2 | 2 2 2 +--R (b - a )\|- c - b + a \|c + b - a +--R Type: Expression Integer +--E 255 + +--S 256 of 518 +d0949a:= D(m0949a,x) +--R +--R +--R (246) +--R 2 2 2 2 +--R (- a b - a )c sinh(x) + ((- 2a b - 2a )c cosh(x) - 2a c)sinh(x) +--R + +--R 2 2 2 2 +--R (- a b - a )c cosh(x) - 2a c cosh(x) + (a b - a )c +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R x 2 2 +--R (- 4a b c sinh(x) - 4a b c cosh(x))tanh(-) + (a b + a )c sinh(x) +--R 2 +--R + +--R 2 2 2 2 +--R ((2a b + 2a )c cosh(x) - 2a c)sinh(x) + (a b + a )c cosh(x) +--R + +--R 2 2 +--R - 2a c cosh(x) + (- a b + a )c +--R / +--R 3 2 2 3 3 2 2 3 4 2 +--R ((b + a b - a b - a )c - a b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 +--R ((2b + 2a b - 2a b - 2a )c - 2a b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 2 2 2 2 3 +--R (2b - 2a )c + (- 2a b + 2a )c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 2 +--R ((b + a b - a b - a )c - a b - a b + a b + a )cosh(x) +--R + +--R 2 2 2 2 3 3 2 2 3 +--R ((2b - 2a )c + (- 2a b + 2a )c)cosh(x) + (- b + a b + a b - a )c +--R + +--R 3 2 2 3 4 +--R a b - a b - a b + a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 2 2 3 2 +--R (- 2b - 2a b + 2a b + 2a b)sinh(x) +--R + +--R 4 3 2 2 3 3 2 +--R ((- 4b - 4a b + 4a b + 4a b)cosh(x) + (- 4b + 4a b)c)sinh(x) +--R + +--R 4 3 2 2 3 2 3 2 +--R (- 2b - 2a b + 2a b + 2a b)cosh(x) + (- 4b + 4a b)c cosh(x) +--R + +--R 4 3 2 2 3 +--R 2b - 2a b - 2a b + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 3 2 2 3 4 2 +--R ((- b - a b + a b + a )c - a b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 +--R ((- 2b - 2a b + 2a b + 2a )c - 2a b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 2 2 2 2 3 +--R (- 2b + 2a )c + (- 2a b + 2a )c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 2 +--R ((- b - a b + a b + a )c - a b - a b + a b + a )cosh(x) +--R + +--R 2 2 2 2 3 3 2 2 3 +--R ((- 2b + 2a )c + (- 2a b + 2a )c)cosh(x) + (b - a b - a b + a )c +--R + +--R 3 2 2 3 4 +--R a b - a b - a b + a +--R Type: Expression Integer +--E 256 + +--S 257 of 518 +m0949b:= a0949.2-r0949 +--R +--R +--R (247) +--R +--------------+ +--R | 2 2 2 +--R - b\|- c - b + a log(b sinh(x) + a cosh(x) + c) +--R + +--R +--------------+ +--R | 2 2 2 - 2b sinh(x) - 2a cosh(x) - 2c +--R b\|- c - b + a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +--------------+ +--R | 2 2 2 +--R ((b + a)sinh(x) + (b + a)cosh(x) + c)\|- c - b + a +--R - 2a c atan(------------------------------------------------------) +--R 2 2 2 +--R c + b - a +--R + +--R x +--R (c - a)tanh(-) - b +--------------+ +--R 2 | 2 2 2 +--R 2a c atan(------------------) - b x\|- c - b + a +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|- c - b + a +--R Type: Expression Integer +--E 257 + +--S 258 of 518 +d0949b:= D(m0949b,x) +--R +--R +--R (248) +--R 2 2 2 2 +--R (- a b - a )c sinh(x) + ((- 2a b - 2a )c cosh(x) - 2a c)sinh(x) +--R + +--R 2 2 2 2 +--R (- a b - a )c cosh(x) - 2a c cosh(x) + (a b - a )c +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R x 2 2 +--R (- 4a b c sinh(x) - 4a b c cosh(x))tanh(-) + (a b + a )c sinh(x) +--R 2 +--R + +--R 2 2 2 2 +--R ((2a b + 2a )c cosh(x) - 2a c)sinh(x) + (a b + a )c cosh(x) +--R + +--R 2 2 +--R - 2a c cosh(x) + (- a b + a )c +--R / +--R 3 2 2 3 3 2 2 3 4 2 +--R ((b + a b - a b - a )c - a b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 +--R ((2b + 2a b - 2a b - 2a )c - 2a b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 2 2 2 2 3 +--R (2b - 2a )c + (- 2a b + 2a )c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 2 +--R ((b + a b - a b - a )c - a b - a b + a b + a )cosh(x) +--R + +--R 2 2 2 2 3 3 2 2 3 +--R ((2b - 2a )c + (- 2a b + 2a )c)cosh(x) + (- b + a b + a b - a )c +--R + +--R 3 2 2 3 4 +--R a b - a b - a b + a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 2 2 3 2 +--R (- 2b - 2a b + 2a b + 2a b)sinh(x) +--R + +--R 4 3 2 2 3 3 2 +--R ((- 4b - 4a b + 4a b + 4a b)cosh(x) + (- 4b + 4a b)c)sinh(x) +--R + +--R 4 3 2 2 3 2 3 2 +--R (- 2b - 2a b + 2a b + 2a b)cosh(x) + (- 4b + 4a b)c cosh(x) +--R + +--R 4 3 2 2 3 +--R 2b - 2a b - 2a b + 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 3 2 2 3 4 2 +--R ((- b - a b + a b + a )c - a b - a b + a b + a )sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 +--R ((- 2b - 2a b + 2a b + 2a )c - 2a b - 2a b + 2a b + 2a )cosh(x) +--R + +--R 2 2 2 2 3 +--R (- 2b + 2a )c + (- 2a b + 2a )c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 4 2 +--R ((- b - a b + a b + a )c - a b - a b + a b + a )cosh(x) +--R + +--R 2 2 2 2 3 3 2 2 3 +--R ((- 2b + 2a )c + (- 2a b + 2a )c)cosh(x) + (b - a b - a b + a )c +--R + +--R 3 2 2 3 4 +--R a b - a b - a b + a +--R Type: Expression Integer +--E 258 + +--S 259 of 518 +t0950:= 1/(a+b*coth(x)+c*csch(x)) +--R +--R +--R 1 +--R (249) ------------------------- +--R c csch(x) + b coth(x) + a +--R Type: Expression Integer +--E 259 + +--S 260 of 518 +r0950:= a*x/(a^2-b^2)-2*a*c*atan((a+(b-c)*tanh(1/2*x))/_ + (-a^2+b^2-c^2)^(1/2))/(a^2-b^2)/(-a^2+b^2-c^2)^(1/2)-_ + b*log(c+b*cosh(x)+a*sinh(x))/(a^2-b^2) +--R +--R +--R (250) +--R +--------------+ +--R | 2 2 2 +--R b\|- c + b - a log(a sinh(x) + b cosh(x) + c) +--R + +--R x +--R (c - b)tanh(-) - a +--------------+ +--R 2 | 2 2 2 +--R - 2a c atan(------------------) - a x\|- c + b - a +--R +--------------+ +--R | 2 2 2 +--R \|- c + b - a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|- c + b - a +--R Type: Expression Integer +--E 260 + +--S 261 of 518 +a0950:= integrate(t0950,x) +--R +--R +--R (251) +--R [ +--R a c +--R * +--R log +--R 2 2 2 +--R (b + 2a b + a )sinh(x) +--R + +--R 2 2 +--R ((2b + 4a b + 2a )cosh(x) + (2b + 2a)c)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b + 2a b + a )cosh(x) + (2b + 2a)c cosh(x) + 2c - b +--R + +--R 2 +--R a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 2 3 2 2 3 +--R ((- 2b - 2a)c + 2b + 2a b - 2a b - 2a )sinh(x) +--R + +--R 2 3 2 2 3 3 +--R ((- 2b - 2a)c + 2b + 2a b - 2a b - 2a )cosh(x) - 2c +--R + +--R 2 2 +--R (2b - 2a )c +--R / +--R 2 +--R (b + a)sinh(x) + ((2b + 2a)cosh(x) + 2c)sinh(x) +--R + +--R 2 +--R (b + a)cosh(x) + 2c cosh(x) + b - a +--R + +--R +------------+ +--R | 2 2 2 - 2a sinh(x) - 2b cosh(x) - 2c +--R b\|c - b + a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +------------+ +--R | 2 2 2 +--R (- b - a)x\|c - b + a +--R / +--R +------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|c - b + a +--R , +--R +--R +--------------+ +--R | 2 2 2 - 2a sinh(x) - 2b cosh(x) - 2c +--R b\|- c + b - a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +--------------+ +--R | 2 2 2 +--R ((b + a)sinh(x) + (b + a)cosh(x) + c)\|- c + b - a +--R - 2a c atan(------------------------------------------------------) +--R 2 2 2 +--R c - b + a +--R + +--R +--------------+ +--R | 2 2 2 +--R (- b - a)x\|- c + b - a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|- c + b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 261 + +--S 262 of 518 +m0950a:= a0950.1-r0950 +--R +--R +--R (252) +--R +--------------+ +--R | 2 2 2 +--R a c\|- c + b - a +--R * +--R log +--R 2 2 2 +--R (b + 2a b + a )sinh(x) +--R + +--R 2 2 +--R ((2b + 4a b + 2a )cosh(x) + (2b + 2a)c)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (b + 2a b + a )cosh(x) + (2b + 2a)c cosh(x) + 2c - b + a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c - b + a +--R + +--R 2 3 2 2 3 +--R ((- 2b - 2a)c + 2b + 2a b - 2a b - 2a )sinh(x) +--R + +--R 2 3 2 2 3 3 +--R ((- 2b - 2a)c + 2b + 2a b - 2a b - 2a )cosh(x) - 2c +--R + +--R 2 2 +--R (2b - 2a )c +--R / +--R 2 +--R (b + a)sinh(x) + ((2b + 2a)cosh(x) + 2c)sinh(x) +--R + +--R 2 +--R (b + a)cosh(x) + 2c cosh(x) + b - a +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R - b\|- c + b - a \|c - b + a log(a sinh(x) + b cosh(x) + c) +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 - 2a sinh(x) - 2b cosh(x) - 2c +--R b\|- c + b - a \|c - b + a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R x +--R +------------+ (c - b)tanh(-) - a +--R | 2 2 2 2 +--R 2a c\|c - b + a atan(------------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c + b - a +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R - b x\|- c + b - a \|c - b + a +--R / +--R +--------------+ +------------+ +--R 2 2 | 2 2 2 | 2 2 2 +--R (b - a )\|- c + b - a \|c - b + a +--R Type: Expression Integer +--E 262 + +--S 263 of 518 +d0950a:= D(m0950a,x) +--R +--R +--R (253) +--R 2 2 2 +--R (- a b - a )c sinh(x) + ((- 2a b - 2a )c cosh(x) - 2a b c)sinh(x) +--R + +--R 2 2 2 +--R (- a b - a )c cosh(x) - 2a b c cosh(x) + (- a b + a )c +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 x 2 2 +--R (- 4a c sinh(x) - 4a c cosh(x))tanh(-) + (a b + a )c sinh(x) +--R 2 +--R + +--R 2 2 2 +--R ((2a b + 2a )c cosh(x) - 2a b c)sinh(x) + (a b + a )c cosh(x) +--R + +--R 2 +--R - 2a b c cosh(x) + (a b - a )c +--R / +--R 3 2 2 3 4 3 2 2 3 2 +--R ((b + a b - a b - a )c - b - a b + a b + a b)sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 +--R ((2b + 2a b - 2a b - 2a )c - 2b - 2a b + 2a b + 2a b)cosh(x) +--R + +--R 2 2 2 3 2 +--R (2b - 2a )c + (- 2b + 2a b)c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R ((b + a b - a b - a )c - b - a b + a b + a b)cosh(x) +--R + +--R 2 2 2 3 2 3 2 2 3 +--R ((2b - 2a )c + (- 2b + 2a b)c)cosh(x) + (b - a b - a b + a )c +--R + +--R 4 3 2 2 3 +--R - b + a b + a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 4 2 +--R (- 2a b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 4 2 3 +--R ((- 4a b - 4a b + 4a b + 4a )cosh(x) + (- 4a b + 4a )c)sinh(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (- 2a b - 2a b + 2a b + 2a )cosh(x) + (- 4a b + 4a )c cosh(x) +--R + +--R 3 2 2 3 4 +--R - 2a b + 2a b + 2a b - 2a +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R ((- b - a b + a b + a )c - b - a b + a b + a b)sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 +--R ((- 2b - 2a b + 2a b + 2a )c - 2b - 2a b + 2a b + 2a b)cosh(x) +--R + +--R 2 2 2 3 2 +--R (- 2b + 2a )c + (- 2b + 2a b)c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R ((- b - a b + a b + a )c - b - a b + a b + a b)cosh(x) +--R + +--R 2 2 2 3 2 3 2 2 3 +--R ((- 2b + 2a )c + (- 2b + 2a b)c)cosh(x) + (- b + a b + a b - a )c +--R + +--R 4 3 2 2 3 +--R - b + a b + a b - a b +--R Type: Expression Integer +--E 263 + +--S 264 of 518 +m0950b:= a0950.2-r0950 +--R +--R +--R (254) +--R +--------------+ +--R | 2 2 2 +--R - b\|- c + b - a log(a sinh(x) + b cosh(x) + c) +--R + +--R +--------------+ +--R | 2 2 2 - 2a sinh(x) - 2b cosh(x) - 2c +--R b\|- c + b - a log(------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +--------------+ +--R | 2 2 2 +--R ((b + a)sinh(x) + (b + a)cosh(x) + c)\|- c + b - a +--R - 2a c atan(------------------------------------------------------) +--R 2 2 2 +--R c - b + a +--R + +--R x +--R (c - b)tanh(-) - a +--------------+ +--R 2 | 2 2 2 +--R 2a c atan(------------------) - b x\|- c + b - a +--R +--------------+ +--R | 2 2 2 +--R \|- c + b - a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b - a )\|- c + b - a +--R Type: Expression Integer +--E 264 + +--S 265 of 518 +d0950b:= D(m0950b,x) +--R +--R +--R (255) +--R 2 2 2 +--R (- a b - a )c sinh(x) + ((- 2a b - 2a )c cosh(x) - 2a b c)sinh(x) +--R + +--R 2 2 2 +--R (- a b - a )c cosh(x) - 2a b c cosh(x) + (- a b + a )c +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 x 2 2 +--R (- 4a c sinh(x) - 4a c cosh(x))tanh(-) + (a b + a )c sinh(x) +--R 2 +--R + +--R 2 2 2 +--R ((2a b + 2a )c cosh(x) - 2a b c)sinh(x) + (a b + a )c cosh(x) +--R + +--R 2 +--R - 2a b c cosh(x) + (a b - a )c +--R / +--R 3 2 2 3 4 3 2 2 3 2 +--R ((b + a b - a b - a )c - b - a b + a b + a b)sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 +--R ((2b + 2a b - 2a b - 2a )c - 2b - 2a b + 2a b + 2a b)cosh(x) +--R + +--R 2 2 2 3 2 +--R (2b - 2a )c + (- 2b + 2a b)c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R ((b + a b - a b - a )c - b - a b + a b + a b)cosh(x) +--R + +--R 2 2 2 3 2 3 2 2 3 +--R ((2b - 2a )c + (- 2b + 2a b)c)cosh(x) + (b - a b - a b + a )c +--R + +--R 4 3 2 2 3 +--R - b + a b + a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 4 2 +--R (- 2a b - 2a b + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 3 4 2 3 +--R ((- 4a b - 4a b + 4a b + 4a )cosh(x) + (- 4a b + 4a )c)sinh(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (- 2a b - 2a b + 2a b + 2a )cosh(x) + (- 4a b + 4a )c cosh(x) +--R + +--R 3 2 2 3 4 +--R - 2a b + 2a b + 2a b - 2a +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R ((- b - a b + a b + a )c - b - a b + a b + a b)sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 +--R ((- 2b - 2a b + 2a b + 2a )c - 2b - 2a b + 2a b + 2a b)cosh(x) +--R + +--R 2 2 2 3 2 +--R (- 2b + 2a )c + (- 2b + 2a b)c +--R * +--R sinh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R ((- b - a b + a b + a )c - b - a b + a b + a b)cosh(x) +--R + +--R 2 2 2 3 2 3 2 2 3 +--R ((- 2b + 2a )c + (- 2b + 2a b)c)cosh(x) + (- b + a b + a b - a )c +--R + +--R 4 3 2 2 3 +--R - b + a b + a b - a b +--R Type: Expression Integer +--E 265 + +--S 266 of 518 +t0951:= x*cosh(x)/(a+b*sinh(x))^2 +--R +--R +--R x cosh(x) +--R (256) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 266 + +--S 267 of 518 +r0951:= -2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b/(a^2+b^2)^(1/2)-_ + x/b/(a+b*sinh(x)) +--R +--R +--R x +--R a tanh(-) - b +-------+ +--R 2 | 2 2 +--R (2b sinh(x) + 2a)atanh(-------------) - x\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R (257) --------------------------------------------------- +--R +-------+ +--R 2 | 2 2 +--R (b sinh(x) + a b)\|b + a +--R Type: Expression Integer +--E 267 + +--S 268 of 518 +a0951:= integrate(t0951,x) +--R +--R +--R (258) +--R 2 2 +--R (b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) - b) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R | 2 2 +--R (- 2x sinh(x) - 2x cosh(x))\|b + a +--R / +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 2 +--R - b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 268 + +--S 269 of 518 +m0951:= a0951-r0951 +--R +--R +--R (259) +--R 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 3a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b cosh(x) + 4a b cosh(x) - b + 2a )sinh(x) + a b cosh(x) +--R + +--R 2 +--R 2a cosh(x) - a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 3 2 2 +--R - 2b sinh(x) + (- 4b cosh(x) - 6a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b cosh(x) - 8a b cosh(x) + 2b - 4a )sinh(x) - 2a b cosh(x) +--R + +--R 2 +--R - 4a cosh(x) + 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b x sinh(x) + b x cosh(x) - b x)\|b + a +--R / +--R 3 3 3 2 2 +--R b sinh(x) + (2b cosh(x) + 3a b )sinh(x) +--R + +--R 3 2 2 3 2 2 2 +--R (b cosh(x) + 4a b cosh(x) - b + 2a b)sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 269 + +--S 270 of 518 +d0951:= D(m0951,x) +--R +--R +--R (260) +--R 3 6 3 2 2 5 +--R - b sinh(x) + (- 4b cosh(x) + 2a b x - 5a b )sinh(x) +--R + +--R 3 2 2 2 2 3 2 +--R (- 6b cosh(x) + (5a b x - 16a b )cosh(x) + 4a b x + 2b - 8a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 2 2 2 +--R - 4b cosh(x) + (2a b x - 18a b )cosh(x) +--R + +--R 2 3 2 2 3 2 3 +--R (8a b x + 4b - 20a b)cosh(x) + (2a b + 2a )x + 6a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 2 3 3 2 2 +--R - b cosh(x) + (- 4a b x - 8a b )cosh(x) + (2b - 16a b)cosh(x) +--R + +--R 2 3 2 3 2 3 2 +--R ((4a b + 2a )x + 8a b - 8a )cosh(x) + 4a b x - b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 4 2 2 3 +--R (- 4a b x - a b )cosh(x) + (- 8a b x - 4a b)cosh(x) +--R + +--R 2 3 2 3 2 2 2 +--R ((4a b - 2a )x + 2a b - 4a )cosh(x) + (8a b x + 4a b)cosh(x) +--R + +--R 3 2 +--R 2a x - a b +--R * +--R sinh(x) +--R + +--R 2 5 2 4 2 3 3 +--R - a b x cosh(x) - 4a b x cosh(x) + (2a b - 2a )x cosh(x) +--R + +--R 2 2 2 3 +--R 4a b x cosh(x) + (- a b + 2a )x cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 3 5 +--R (- 4b x - 2b )sinh(x) +--R + +--R 3 3 2 2 4 +--R ((- 10b x - 8b )cosh(x) - 8a b x - 10a b )sinh(x) +--R + +--R 3 3 2 2 2 +--R (- 4b x - 12b )cosh(x) + (- 16a b x - 32a b )cosh(x) +--R + +--R 3 2 3 2 +--R (- 4b - 4a b)x + 4b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 3 2 2 +--R (8b x - 8b )cosh(x) - 36a b cosh(x) +--R + +--R 3 2 3 2 2 2 3 +--R ((- 8b - 4a b)x + 8b - 40a b)cosh(x) - 8a b x + 12a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 2 3 +--R (8b x - 2b )cosh(x) + (16a b x - 16a b )cosh(x) +--R + +--R 3 2 3 2 2 +--R ((- 8b + 4a b)x + 4b - 32a b)cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (- 16a b x + 16a b - 16a )cosh(x) - 4a b x - 2b + 8a b +--R * +--R sinh(x) +--R + +--R 3 5 2 2 4 +--R 2b x cosh(x) + (8a b x - 2a b )cosh(x) +--R + +--R 3 2 2 3 2 2 3 2 +--R ((- 4b + 4a b)x - 8a b)cosh(x) + (- 8a b x + 4a b - 8a )cosh(x) +--R + +--R 3 2 2 2 +--R ((2b - 4a b)x + 8a b)cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 6 3 2 2 5 +--R b sinh(x) + (4b cosh(x) - 2a b x + 5a b )sinh(x) +--R + +--R 3 2 2 2 2 3 2 4 +--R (6b cosh(x) + (- 5a b x + 16a b )cosh(x) - 4a b x - 2b + 8a b)sinh(x) +--R + +--R 3 3 2 2 2 +--R 4b cosh(x) + (- 2a b x + 18a b )cosh(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 8a b x - 4b + 20a b)cosh(x) + (- 2a b - 2a )x - 6a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 2 3 3 2 2 +--R b cosh(x) + (4a b x + 8a b )cosh(x) + (- 2b + 16a b)cosh(x) +--R + +--R 2 3 2 3 2 3 2 +--R ((- 4a b - 2a )x - 8a b + 8a )cosh(x) - 4a b x + b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 4 2 2 3 +--R (4a b x + a b )cosh(x) + (8a b x + 4a b)cosh(x) +--R + +--R 2 3 2 3 2 2 2 +--R ((- 4a b + 2a )x - 2a b + 4a )cosh(x) + (- 8a b x - 4a b)cosh(x) +--R + +--R 3 2 +--R - 2a x + a b +--R * +--R sinh(x) +--R + +--R 2 5 2 4 2 3 3 +--R a b x cosh(x) + 4a b x cosh(x) + (- 2a b + 2a )x cosh(x) +--R + +--R 2 2 2 3 +--R - 4a b x cosh(x) + (a b - 2a )x cosh(x) +--R / +--R 4 6 4 2 3 5 +--R a b sinh(x) + (4a b cosh(x) + 6a b )sinh(x) +--R + +--R 4 2 2 3 4 3 2 4 +--R (6a b cosh(x) + 20a b cosh(x) - 2a b + 13a b )sinh(x) +--R + +--R 4 3 2 3 2 4 3 2 +--R 4a b cosh(x) + 24a b cosh(x) + (- 4a b + 36a b )cosh(x) +--R + +--R 2 3 4 +--R - 8a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R a b cosh(x) + 12a b cosh(x) + (- 2a b + 34a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 12a b + 28a b)cosh(x) + a b - 10a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 4 2 +--R 2a b cosh(x) + 12a b cosh(x) + (- 4a b + 20a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 12a b + 8a )cosh(x) + 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 5 2 4 +--R a b cosh(x) + 4a b cosh(x) + (- 2a b + 4a )cosh(x) - 4a b cosh(x) +--R + +--R 3 2 +--R a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 6 5 4 5 +--R - 2b sinh(x) + (- 8b cosh(x) - 12a b )sinh(x) +--R + +--R 5 2 4 5 2 3 4 +--R (- 12b cosh(x) - 40a b cosh(x) + 4b - 26a b )sinh(x) +--R + +--R 5 3 4 2 5 2 3 4 +--R - 8b cosh(x) - 48a b cosh(x) + (8b - 72a b )cosh(x) + 16a b +--R + +--R 3 2 +--R - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 4 3 5 2 3 2 +--R - 2b cosh(x) - 24a b cosh(x) + (4b - 68a b )cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (24a b - 56a b )cosh(x) - 2b + 20a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - 4a b cosh(x) - 24a b cosh(x) + (8a b - 40a b )cosh(x) +--R + +--R 2 3 4 4 3 2 +--R (24a b - 16a b)cosh(x) - 4a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 4 2 +--R - 2a b cosh(x) - 8a b cosh(x) + (4a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 +--R 8a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 6 4 2 3 5 +--R - a b sinh(x) + (- 4a b cosh(x) - 6a b )sinh(x) +--R + +--R 4 2 2 3 4 3 2 4 +--R (- 6a b cosh(x) - 20a b cosh(x) + 2a b - 13a b )sinh(x) +--R + +--R 4 3 2 3 2 4 3 2 2 3 +--R - 4a b cosh(x) - 24a b cosh(x) + (4a b - 36a b )cosh(x) + 8a b +--R + +--R 4 +--R - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - a b cosh(x) - 12a b cosh(x) + (2a b - 34a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (12a b - 28a b)cosh(x) - a b + 10a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 4 2 +--R - 2a b cosh(x) - 12a b cosh(x) + (4a b - 20a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (12a b - 8a )cosh(x) - 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 5 2 4 +--R - a b cosh(x) - 4a b cosh(x) + (2a b - 4a )cosh(x) + 4a b cosh(x) +--R + +--R 3 2 +--R - a b +--R Type: Expression Integer +--E 270 + +--S 271 of 518 +t0952:= x*cosh(x)/(a+b*sinh(x))^3 +--R +--R +--R x cosh(x) +--R (261) ---------------------------------------------- +--R 3 3 2 2 2 3 +--R b sinh(x) + 3a b sinh(x) + 3a b sinh(x) + a +--R Type: Expression Integer +--E 271 + +--S 272 of 518 +r0952:= -a*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b/(a^2+b^2)^(3/2)-_ + 1/2*x/b/(a+b*sinh(x))^2-1/2*cosh(x)/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (262) +--R x +--R a tanh(-) - b +--R 2 2 2 3 2 +--R (2a b sinh(x) + 4a b sinh(x) + 2a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 2 2 | 2 2 +--R (- b cosh(x)sinh(x) - a b cosh(x) + (- b - a )x)\|b + a +--R / +--R +-------+ +--R 5 2 3 2 4 3 2 2 3 4 | 2 2 +--R ((2b + 2a b )sinh(x) + (4a b + 4a b )sinh(x) + 2a b + 2a b)\|b + a +--R Type: Expression Integer +--E 272 + +--S 273 of 518 +a0952:= integrate(t0952,x) +--R +--R +--R (263) +--R 2 4 2 2 3 +--R a b sinh(x) + (4a b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (6a b cosh(x) + 12a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R (4a b cosh(x) + 12a b cosh(x) + (- 4a b + 8a )cosh(x) - 4a b) +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 3 2 2 +--R a b cosh(x) + 4a b cosh(x) + (- 2a b + 4a )cosh(x) - 4a b cosh(x) +--R + +--R 2 +--R a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 2 2 2 2 2 +--R 2a b sinh(x) + (6a b cosh(x) + (- 4b - 4a )x - 2b + 4a )sinh(x) +--R + +--R 2 2 2 2 2 +--R (6a b cosh(x) + ((- 8b - 8a )x - 4b + 8a )cosh(x) - 6a b)sinh(x) +--R + +--R 3 2 2 2 2 2 +--R 2a b cosh(x) + ((- 4b - 4a )x - 2b + 4a )cosh(x) - 6a b cosh(x) +--R + +--R 2 +--R 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 2 3 4 5 2 3 4 3 2 3 +--R (2b + 2a b )sinh(x) + ((8b + 8a b )cosh(x) + 8a b + 8a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R (12b + 12a b )cosh(x) + (24a b + 24a b )cosh(x) - 4b + 4a b +--R + +--R 4 +--R 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (8b + 8a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (- 8b + 8a b + 16a b)cosh(x) - 8a b - 8a b +--R * +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (2b + 2a b )cosh(x) + (8a b + 8a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 2 3 +--R (- 4b + 4a b + 8a b)cosh(x) + (- 8a b - 8a b )cosh(x) + 2b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 273 + +--S 274 of 518 +m0952:= a0952-r0952 +--R +--R +--R (264) +--R 4 6 4 2 3 5 +--R a b sinh(x) + (4a b cosh(x) + 6a b )sinh(x) +--R + +--R 4 2 2 3 4 3 2 4 +--R (6a b cosh(x) + 20a b cosh(x) - 2a b + 13a b )sinh(x) +--R + +--R 4 3 2 3 2 4 3 2 +--R 4a b cosh(x) + 24a b cosh(x) + (- 4a b + 36a b )cosh(x) +--R + +--R 2 3 4 +--R - 8a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R a b cosh(x) + 12a b cosh(x) + (- 2a b + 34a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 12a b + 28a b)cosh(x) + a b - 10a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 4 2 +--R 2a b cosh(x) + 12a b cosh(x) + (- 4a b + 20a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 12a b + 8a )cosh(x) + 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 5 2 4 +--R a b cosh(x) + 4a b cosh(x) + (- 2a b + 4a )cosh(x) - 4a b cosh(x) +--R + +--R 3 2 +--R a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 6 4 2 3 5 +--R - 2a b sinh(x) + (- 8a b cosh(x) - 12a b )sinh(x) +--R + +--R 4 2 2 3 4 3 2 4 +--R (- 12a b cosh(x) - 40a b cosh(x) + 4a b - 26a b )sinh(x) +--R + +--R 4 3 2 3 2 4 3 2 +--R - 8a b cosh(x) - 48a b cosh(x) + (8a b - 72a b )cosh(x) +--R + +--R 2 3 4 +--R 16a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - 2a b cosh(x) - 24a b cosh(x) + (4a b - 68a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (24a b - 56a b)cosh(x) - 2a b + 20a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 4 2 +--R - 4a b cosh(x) - 24a b cosh(x) + (8a b - 40a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (24a b - 16a )cosh(x) - 4a b + 8a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 5 2 +--R - 2a b cosh(x) - 8a b cosh(x) + (4a b - 8a )cosh(x) +--R + +--R 4 3 2 +--R 8a b cosh(x) - 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 3 5 +--R (b cosh(x) + 2a b )sinh(x) +--R + +--R 4 2 3 4 2 2 4 2 2 +--R (4b cosh(x) + 11a b cosh(x) + (- 3b - 3a b )x - 2b + 8a b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 3 2 +--R 6b cosh(x) + 22a b cosh(x) +--R + +--R 4 2 2 4 2 2 3 3 +--R ((- 4b - 4a b )x - 6b + 28a b )cosh(x) + (- 4a b - 4a b)x +--R + +--R 3 3 +--R - 10a b + 10a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 3 3 +--R 4b cosh(x) + 20a b cosh(x) +--R + +--R 4 2 2 4 2 2 2 +--R ((2b + 2a b )x - 6b + 36a b )cosh(x) +--R + +--R 3 3 3 3 4 2 2 +--R ((- 4a b - 4a b)x - 20a b + 26a b)cosh(x) + (- 2b - 2a b )x +--R + +--R 4 2 2 4 +--R 2b - 14a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 3 4 +--R b cosh(x) + 8a b cosh(x) +--R + +--R 4 2 2 4 2 2 3 +--R ((4b + 4a b )x - 2b + 20a b )cosh(x) +--R + +--R 3 3 3 3 2 +--R ((4a b + 4a b)x - 12a b + 22a b)cosh(x) +--R + +--R 4 2 2 4 2 2 4 3 3 +--R ((- 4b - 4a b )x + b - 20a b + 8a )cosh(x) + (- 4a b - 4a b)x +--R + +--R 3 3 +--R 4a b - 6a b +--R * +--R sinh(x) +--R + +--R 3 5 4 2 2 2 2 4 +--R a b cosh(x) + ((b + a b )x + 4a b )cosh(x) +--R + +--R 3 3 3 3 3 +--R ((4a b + 4a b)x - 2a b + 6a b)cosh(x) +--R + +--R 4 2 2 2 2 4 2 +--R ((- 2b - 2a b )x - 6a b + 4a )cosh(x) +--R + +--R 3 3 3 3 4 2 2 2 2 +--R ((- 4a b - 4a b)x + a b - 6a b)cosh(x) + (b + a b )x + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 7 2 5 6 +--R (2b + 2a b )sinh(x) +--R + +--R 7 2 5 6 3 4 5 +--R ((8b + 8a b )cosh(x) + 12a b + 12a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 2 5 +--R (12b + 12a b )cosh(x) + (40a b + 40a b )cosh(x) - 4b + 22a b +--R + +--R 4 3 +--R 26a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (8b + 8a b )cosh(x) + (48a b + 48a b )cosh(x) +--R + +--R 7 2 5 4 3 6 3 4 5 2 +--R (- 8b + 64a b + 72a b )cosh(x) - 16a b + 8a b + 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (2b + 2a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 7 2 5 4 3 2 +--R (- 4b + 64a b + 68a b )cosh(x) +--R + +--R 6 3 4 5 2 7 2 5 4 3 6 +--R (- 24a b + 32a b + 56a b )cosh(x) + 2b - 18a b - 12a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (4a b + 4a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (- 8a b + 32a b + 40a b )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (- 24a b - 8a b + 16a b)cosh(x) + 4a b - 4a b - 8a b +--R * +--R sinh(x) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (2a b + 2a b )cosh(x) + (8a b + 8a b )cosh(x) +--R + +--R 2 5 4 3 6 2 3 4 5 2 2 5 +--R (- 4a b + 4a b + 8a b)cosh(x) + (- 8a b - 8a b )cosh(x) + 2a b +--R + +--R 4 3 +--R 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 274 + +--S 275 of 518 +--d0952:= D(m0952,x) +--E 275 + +--S 276 of 518 +t0953:= x*sinh(x)/(a+b*cosh(x))^2 +--R +--R +--R x sinh(x) +--R (265) ------------------------------ +--R 2 2 2 +--R b cosh(x) + 2a b cosh(x) + a +--R Type: Expression Integer +--E 276 + +--S 277 of 518 +r0953:= 2*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(1/2)-_ + x/b/(a+b*cosh(x)) +--R +--R +--R x +--R (b - a)tanh(-) +---------+ +--R 2 | 2 2 +--R (- 2b cosh(x) - 2a)atanh(--------------) - x\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (266) -------------------------------------------------------- +--R +---------+ +--R 2 | 2 2 +--R (b cosh(x) + a b)\|- b + a +--R Type: Expression Integer +--E 277 + +--S 278 of 518 +a0953:= integrate(t0953,x) +--R +--R +--R (267) +--R [ +--R 2 2 +--R (b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) + b) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (2b - 2a b)sinh(x) + (2b - 2a b)cosh(x) + 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R +---------+ +--R | 2 2 +--R (- 2x sinh(x) - 2x cosh(x))\|- b + a +--R / +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 2 +--R b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 2 2 +--R 2b sinh(x) + (4b cosh(x) + 4a)sinh(x) + 2b cosh(x) + 4a cosh(x) +--R + +--R 2b +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R +-------+ +--R | 2 2 +--R (- 2x sinh(x) - 2x cosh(x))\|b - a +--R / +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 2 +--R b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 278 + +--S 279 of 518 +m0953a:= a0953.1-r0953 +--R +--R +--R (268) +--R 2 2 2 2 2 +--R (b cosh(x) + a b)sinh(x) + (2b cosh(x) + 4a b cosh(x) + 2a )sinh(x) +--R + +--R 2 3 2 2 2 +--R b cosh(x) + 3a b cosh(x) + (b + 2a )cosh(x) + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (2b - 2a b)sinh(x) + (2b - 2a b)cosh(x) + 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R 2 2 +--R (2b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (4b cosh(x) + 8a b cosh(x) + 4a )sinh(x) + 2b cosh(x) +--R + +--R 2 2 2 +--R 6a b cosh(x) + (2b + 4a )cosh(x) + 2a b +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (b x sinh(x) - b x cosh(x) + b x)\|- b + a +--R / +--R 3 2 2 3 2 2 2 +--R (b cosh(x) + a b )sinh(x) + (2b cosh(x) + 4a b cosh(x) + 2a b)sinh(x) +--R + +--R 3 3 2 2 3 2 2 +--R b cosh(x) + 3a b cosh(x) + (b + 2a b)cosh(x) + a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 279 + +--S 280 of 518 +d0953a:= D(m0953a,x) +--R +--R +--R (269) +--R 3 2 5 +--R (- b + a b )x sinh(x) +--R + +--R 3 2 3 2 3 2 +--R b cosh(x) + ((- 4b + 4a b )x + b + a b )cosh(x) +--R + +--R 2 2 2 +--R (- 4a b + 4a b)x + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 3 2 2 +--R 4b cosh(x) + ((- 4b + 4a b )x + 4b + 8a b )cosh(x) +--R + +--R 2 2 2 2 +--R ((- 8a b + 8a b)x + 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b + 2a b - 2a b + 2a )x + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 3 2 3 2 3 +--R 6b cosh(x) + ((2b - 2a b )x + 6b + 18a b )cosh(x) +--R + +--R 3 2 2 2 +--R (2b + 18a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((- 4b + 4a b - 2a b + 2a )x + 2b + 2a b + 16a b + 4a ) +--R * +--R cosh(x) +--R + +--R 2 2 2 3 +--R (- 4a b + 4a b)x + 2a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 3 2 3 2 4 +--R 4b cosh(x) + ((5b - 5a b )x + 4b + 16a b )cosh(x) +--R + +--R 2 2 3 2 2 3 +--R ((8a b - 8a b)x + 4b + 16a b + 20a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((- 4b + 4a b + 2a b - 2a )x + 4b + 8a b + 20a b + 8a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 2 2 2 3 +--R ((- 8a b + 8a b)x + 8a b + 4a b + 8a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- b + a b - 2a b + 2a )x + 4a b +--R * +--R sinh(x) +--R + +--R 3 6 3 2 3 2 5 +--R b cosh(x) + ((2b - 2a b )x + b + 5a b )cosh(x) +--R + +--R 2 2 3 2 2 4 +--R ((4a b - 4a b)x + 2b + 5a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 3 +--R ((- 2b + 2a b + 2a b - 2a )x + 2b + 6a b + 8a b + 4a )cosh(x) +--R + +--R 2 2 3 2 2 3 2 +--R ((- 4a b + 4a b)x + b + 6a b + 4a b + 4a )cosh(x) +--R + +--R 2 3 3 2 2 2 +--R ((- 2a b + 2a )x + b + a b + 4a b)cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 5 +--R (- b - a b )x sinh(x) +--R + +--R 3 2 3 2 3 2 +--R - b cosh(x) + ((- 4b - 4a b )x + b - a b )cosh(x) +--R + +--R 2 2 2 +--R (- 4a b - 4a b)x + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 3 2 2 +--R - 4b cosh(x) + ((- 4b - 4a b )x + 4b - 8a b )cosh(x) +--R + +--R 2 2 2 2 +--R ((- 8a b - 8a b)x + 8a b - 4a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b - 2a b - 2a )x + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 3 2 3 2 3 +--R - 6b cosh(x) + ((2b + 2a b )x + 6b - 18a b )cosh(x) +--R + +--R 3 2 2 2 +--R (- 2b + 18a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((- 4b - 4a b - 2a b - 2a )x + 2b - 2a b + 16a b - 4a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 4a b - 4a b)x + 2a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 3 2 3 2 4 +--R - 4b cosh(x) + ((5b + 5a b )x + 4b - 16a b )cosh(x) +--R + +--R 2 2 3 2 2 3 +--R ((8a b + 8a b)x - 4b + 16a b - 20a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 2 +--R ((- 4b - 4a b + 2a b + 2a )x + 4b - 8a b + 20a b - 8a )cosh(x) +--R + +--R 2 2 2 2 3 +--R ((- 8a b - 8a b)x + 8a b - 4a b + 8a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- b - a b - 2a b - 2a )x + 4a b +--R * +--R sinh(x) +--R + +--R 3 6 3 2 3 2 5 +--R - b cosh(x) + ((2b + 2a b )x + b - 5a b )cosh(x) +--R + +--R 2 2 3 2 2 4 +--R ((4a b + 4a b)x - 2b + 5a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 3 +--R ((- 2b - 2a b + 2a b + 2a )x + 2b - 6a b + 8a b - 4a )cosh(x) +--R + +--R 2 2 3 2 2 3 2 +--R ((- 4a b - 4a b)x - b + 6a b - 4a b + 4a )cosh(x) +--R + +--R 2 3 3 2 2 2 +--R ((- 2a b - 2a )x + b - a b + 4a b)cosh(x) + a b +--R / +--R 5 4 2 4 2 3 2 3 3 2 4 +--R ((b - a b )cosh(x) + (2a b - 2a b )cosh(x) + a b - a b )sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (4b - 4a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (12a b - 12a b )cosh(x) + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (6b - 6a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 +--R (2b - 2a b + 34a b - 34a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 +--R (4a b - 4a b + 20a b - 20a b)cosh(x) + 2a b - 2a b + 4a b +--R + +--R 5 +--R - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 +--R (4b - 4a b )cosh(x) + (20a b - 20a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (4b - 4a b + 36a b - 36a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (12a b - 12a b + 28a b - 28a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 2 4 +--R (12a b - 12a b + 8a b - 8a )cosh(x) + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 5 4 6 4 2 3 5 +--R (b - a b )cosh(x) + (6a b - 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (2b - 2a b + 13a b - 13a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (8a b - 8a b + 12a b - 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (b - a b + 10a b - 10a b + 4a b - 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 +--R (2a b - 2a b + 4a b - 4a b)cosh(x) + a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 4 2 4 2 3 2 3 3 2 4 +--R ((b + a b )cosh(x) + (2a b + 2a b )cosh(x) + a b + a b )sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (4b + 4a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (12a b + 12a b )cosh(x) + 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (6b + 6a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 +--R (2b + 2a b + 34a b + 34a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 5 +--R (4a b + 4a b + 20a b + 20a b)cosh(x) + 2a b + 2a b + 4a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 +--R (4b + 4a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (4b + 4a b + 36a b + 36a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (12a b + 12a b + 28a b + 28a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 2 4 +--R (12a b + 12a b + 8a b + 8a )cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 4 6 4 2 3 5 +--R (b + a b )cosh(x) + (6a b + 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (2b + 2a b + 13a b + 13a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (8a b + 8a b + 12a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (b + a b + 10a b + 10a b + 4a b + 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 +--R (2a b + 2a b + 4a b + 4a b)cosh(x) + a b + a b +--R Type: Expression Integer +--E 280 + +--S 281 of 518 +m0953b:= a0953.2-r0953 +--R +--R +--R (270) +--R 2 2 +--R (2b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (4b cosh(x) + 8a b cosh(x) + 4a )sinh(x) + 2b cosh(x) +--R + +--R 2 2 2 +--R 6a b cosh(x) + (2b + 4a )cosh(x) + 2a b +--R * +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|b - a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 +--R (2b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (4b cosh(x) + 8a b cosh(x) + 4a )sinh(x) + 2b cosh(x) +--R + +--R 2 2 2 +--R 6a b cosh(x) + (2b + 4a )cosh(x) + 2a b +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sinh(x) + b cosh(x) + a)\|b - a +--R \|- b + a atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R +---------+ +-------+ +--R 2 2 | 2 2 | 2 2 +--R (b x sinh(x) - b x cosh(x) + b x)\|- b + a \|b - a +--R / +--R 3 2 2 3 2 2 2 +--R (b cosh(x) + a b )sinh(x) + (2b cosh(x) + 4a b cosh(x) + 2a b)sinh(x) +--R + +--R 3 3 2 2 3 2 2 +--R b cosh(x) + 3a b cosh(x) + (b + 2a b)cosh(x) + a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 281 + +--S 282 of 518 +d0953b:= D(m0953b,x) +--R +--R +--R (271) +--R 3 2 5 +--R (- b + a b )x sinh(x) +--R + +--R 3 2 3 2 3 2 +--R b cosh(x) + ((- 4b + 4a b )x + b + a b )cosh(x) +--R + +--R 2 2 2 +--R (- 4a b + 4a b)x + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 3 2 2 +--R 4b cosh(x) + ((- 4b + 4a b )x + 4b + 8a b )cosh(x) +--R + +--R 2 2 2 2 +--R ((- 8a b + 8a b)x + 8a b + 4a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b + 2a b - 2a b + 2a )x + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 3 2 3 2 3 +--R 6b cosh(x) + ((2b - 2a b )x + 6b + 18a b )cosh(x) +--R + +--R 3 2 2 2 +--R (2b + 18a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((- 4b + 4a b - 2a b + 2a )x + 2b + 2a b + 16a b + 4a ) +--R * +--R cosh(x) +--R + +--R 2 2 2 3 +--R (- 4a b + 4a b)x + 2a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 3 2 3 2 4 +--R 4b cosh(x) + ((5b - 5a b )x + 4b + 16a b )cosh(x) +--R + +--R 2 2 3 2 2 3 +--R ((8a b - 8a b)x + 4b + 16a b + 20a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((- 4b + 4a b + 2a b - 2a )x + 4b + 8a b + 20a b + 8a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 2 2 2 3 +--R ((- 8a b + 8a b)x + 8a b + 4a b + 8a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- b + a b - 2a b + 2a )x + 4a b +--R * +--R sinh(x) +--R + +--R 3 6 3 2 3 2 5 +--R b cosh(x) + ((2b - 2a b )x + b + 5a b )cosh(x) +--R + +--R 2 2 3 2 2 4 +--R ((4a b - 4a b)x + 2b + 5a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 3 +--R ((- 2b + 2a b + 2a b - 2a )x + 2b + 6a b + 8a b + 4a )cosh(x) +--R + +--R 2 2 3 2 2 3 2 +--R ((- 4a b + 4a b)x + b + 6a b + 4a b + 4a )cosh(x) +--R + +--R 2 3 3 2 2 2 +--R ((- 2a b + 2a )x + b + a b + 4a b)cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 5 +--R (- b - a b )x sinh(x) +--R + +--R 3 2 3 2 3 2 +--R - b cosh(x) + ((- 4b - 4a b )x + b - a b )cosh(x) +--R + +--R 2 2 2 +--R (- 4a b - 4a b)x + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 3 2 2 +--R - 4b cosh(x) + ((- 4b - 4a b )x + 4b - 8a b )cosh(x) +--R + +--R 2 2 2 2 +--R ((- 8a b - 8a b)x + 8a b - 4a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b - 2a b - 2a )x + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 3 2 3 2 3 +--R - 6b cosh(x) + ((2b + 2a b )x + 6b - 18a b )cosh(x) +--R + +--R 3 2 2 2 +--R (- 2b + 18a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((- 4b - 4a b - 2a b - 2a )x + 2b - 2a b + 16a b - 4a )cosh(x) +--R + +--R 2 2 2 3 +--R (- 4a b - 4a b)x + 2a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 3 2 3 2 4 +--R - 4b cosh(x) + ((5b + 5a b )x + 4b - 16a b )cosh(x) +--R + +--R 2 2 3 2 2 3 +--R ((8a b + 8a b)x - 4b + 16a b - 20a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 2 +--R ((- 4b - 4a b + 2a b + 2a )x + 4b - 8a b + 20a b - 8a )cosh(x) +--R + +--R 2 2 2 2 3 +--R ((- 8a b - 8a b)x + 8a b - 4a b + 8a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- b - a b - 2a b - 2a )x + 4a b +--R * +--R sinh(x) +--R + +--R 3 6 3 2 3 2 5 +--R - b cosh(x) + ((2b + 2a b )x + b - 5a b )cosh(x) +--R + +--R 2 2 3 2 2 4 +--R ((4a b + 4a b)x - 2b + 5a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 3 2 2 3 3 +--R ((- 2b - 2a b + 2a b + 2a )x + 2b - 6a b + 8a b - 4a )cosh(x) +--R + +--R 2 2 3 2 2 3 2 +--R ((- 4a b - 4a b)x - b + 6a b - 4a b + 4a )cosh(x) +--R + +--R 2 3 3 2 2 2 +--R ((- 2a b - 2a )x + b - a b + 4a b)cosh(x) + a b +--R / +--R 5 4 2 4 2 3 2 3 3 2 4 +--R ((b - a b )cosh(x) + (2a b - 2a b )cosh(x) + a b - a b )sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (4b - 4a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (12a b - 12a b )cosh(x) + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (6b - 6a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 +--R (2b - 2a b + 34a b - 34a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 +--R (4a b - 4a b + 20a b - 20a b)cosh(x) + 2a b - 2a b + 4a b +--R + +--R 5 +--R - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 +--R (4b - 4a b )cosh(x) + (20a b - 20a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (4b - 4a b + 36a b - 36a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (12a b - 12a b + 28a b - 28a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 2 4 +--R (12a b - 12a b + 8a b - 8a )cosh(x) + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 5 4 6 4 2 3 5 +--R (b - a b )cosh(x) + (6a b - 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (2b - 2a b + 13a b - 13a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (8a b - 8a b + 12a b - 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (b - a b + 10a b - 10a b + 4a b - 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 +--R (2a b - 2a b + 4a b - 4a b)cosh(x) + a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 5 4 2 4 2 3 2 3 3 2 4 +--R ((b + a b )cosh(x) + (2a b + 2a b )cosh(x) + a b + a b )sinh(x) +--R + +--R 5 4 3 4 2 3 2 +--R (4b + 4a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 2 3 3 2 3 2 4 +--R (12a b + 12a b )cosh(x) + 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 4 4 2 3 3 +--R (6b + 6a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 +--R (2b + 2a b + 34a b + 34a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 5 +--R (4a b + 4a b + 20a b + 20a b)cosh(x) + 2a b + 2a b + 4a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 5 4 2 3 4 +--R (4b + 4a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (4b + 4a b + 36a b + 36a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (12a b + 12a b + 28a b + 28a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 2 4 +--R (12a b + 12a b + 8a b + 8a )cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 4 6 4 2 3 5 +--R (b + a b )cosh(x) + (6a b + 6a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (2b + 2a b + 13a b + 13a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (8a b + 8a b + 12a b + 12a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (b + a b + 10a b + 10a b + 4a b + 4a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 +--R (2a b + 2a b + 4a b + 4a b)cosh(x) + a b + a b +--R Type: Expression Integer +--E 282 + +--S 283 of 518 +t0954:= x*sinh(x)/(a+b*cosh(x))^3 +--R +--R +--R x sinh(x) +--R (272) ---------------------------------------------- +--R 3 3 2 2 2 3 +--R b cosh(x) + 3a b cosh(x) + 3a b cosh(x) + a +--R Type: Expression Integer +--E 283 + +--S 284 of 518 +r0954:= a*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(3/2)-_ + 1/2*x/b/(a+b*cosh(x))^2-1/2*sinh(x)/(a^2-b^2)/(a+b*cosh(x)) +--R +--R +--R (273) +--R x +--R (b - a)tanh(-) +--R 2 2 2 3 2 +--R (2a b cosh(x) + 4a b cosh(x) + 2a )atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 2 | 2 2 +--R ((b cosh(x) + a b)sinh(x) + (- b + a )x)\|- b + a +--R / +--R +---------+ +--R 5 2 3 2 4 3 2 2 3 4 | 2 2 +--R ((2b - 2a b )cosh(x) + (4a b - 4a b )cosh(x) + 2a b - 2a b)\|- b + a +--R Type: Expression Integer +--E 284 + +--S 285 of 518 +a0954:= integrate(t0954,x) +--R +--R +--R (274) +--R [ +--R 2 4 2 2 3 +--R a b sinh(x) + (4a b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (6a b cosh(x) + 12a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R (4a b cosh(x) + 12a b cosh(x) + (4a b + 8a )cosh(x) + 4a b) +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 3 2 2 +--R a b cosh(x) + 4a b cosh(x) + (2a b + 4a )cosh(x) + 4a b cosh(x) +--R + +--R 2 +--R a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 3 +--R - 2a b sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 6a b cosh(x) + (- 4b + 4a )x - 2b - 4a )sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 6a b cosh(x) + ((- 8b + 8a )x - 4b - 8a )cosh(x) - 6a b) +--R * +--R sinh(x) +--R + +--R 3 2 2 2 2 2 +--R - 2a b cosh(x) + ((- 4b + 4a )x - 2b - 4a )cosh(x) +--R + +--R 2 +--R - 6a b cosh(x) - 2b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 5 2 3 4 +--R (2b - 2a b )sinh(x) +--R + +--R 5 2 3 4 3 2 3 +--R ((8b - 8a b )cosh(x) + 8a b - 8a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R (12b - 12a b )cosh(x) + (24a b - 24a b )cosh(x) + 4b + 4a b +--R + +--R 4 +--R - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (8b - 8a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (8b + 8a b - 16a b)cosh(x) + 8a b - 8a b +--R * +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (2b - 2a b )cosh(x) + (8a b - 8a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 2 3 +--R (4b + 4a b - 8a b)cosh(x) + (8a b - 8a b )cosh(x) + 2b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 2 4 2 2 3 +--R - a b sinh(x) + (- 4a b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 6a b cosh(x) - 12a b cosh(x) - 2a b - 4a )sinh(x) +--R + +--R 2 3 2 2 2 3 +--R - 4a b cosh(x) - 12a b cosh(x) + (- 4a b - 8a )cosh(x) +--R + +--R 2 +--R - 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 3 2 +--R - a b cosh(x) - 4a b cosh(x) + (- 2a b - 4a )cosh(x) +--R + +--R 2 2 +--R - 4a b cosh(x) - a b +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 3 +--R - a b sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 3a b cosh(x) + (- 2b + 2a )x - b - 2a )sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 3a b cosh(x) + ((- 4b + 4a )x - 2b - 4a )cosh(x) - 3a b) +--R * +--R sinh(x) +--R + +--R 3 2 2 2 2 2 +--R - a b cosh(x) + ((- 2b + 2a )x - b - 2a )cosh(x) - 3a b cosh(x) +--R + +--R 2 +--R - b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 5 2 3 4 5 2 3 4 3 2 3 +--R (b - a b )sinh(x) + ((4b - 4a b )cosh(x) + 4a b - 4a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R (6b - 6a b )cosh(x) + (12a b - 12a b )cosh(x) + 2b + 2a b +--R + +--R 4 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (4b - 4a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (4b + 4a b - 8a b)cosh(x) + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (b - a b )cosh(x) + (4a b - 4a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 2 3 +--R (2b + 2a b - 4a b)cosh(x) + (4a b - 4a b )cosh(x) + b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 285 + +--S 286 of 518 +m0954a:= a0954.1-r0954 +--R +--R +--R (275) +--R 4 2 2 3 3 2 4 +--R (a b cosh(x) + 2a b cosh(x) + a b )sinh(x) +--R + +--R 4 3 2 3 2 3 2 4 3 +--R (4a b cosh(x) + 12a b cosh(x) + 12a b cosh(x) + 4a b)sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R 6a b cosh(x) + 24a b cosh(x) + (2a b + 34a b )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (4a b + 20a b)cosh(x) + 2a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 4 3 2 3 +--R 4a b cosh(x) + 20a b cosh(x) + (4a b + 36a b )cosh(x) +--R + +--R 2 3 4 2 3 2 5 4 +--R (12a b + 28a b)cosh(x) + (12a b + 8a )cosh(x) + 4a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 3 2 4 +--R a b cosh(x) + 6a b cosh(x) + (2a b + 13a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (8a b + 12a b)cosh(x) + (a b + 10a b + 4a )cosh(x) +--R + +--R 2 3 4 3 2 +--R (2a b + 4a b)cosh(x) + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R 4 2 2 3 3 2 4 +--R (- 2a b cosh(x) - 4a b cosh(x) - 2a b )sinh(x) +--R + +--R 4 3 2 3 2 3 2 4 3 +--R (- 8a b cosh(x) - 24a b cosh(x) - 24a b cosh(x) - 8a b)sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - 12a b cosh(x) - 48a b cosh(x) + (- 4a b - 68a b )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 8a b - 40a b)cosh(x) - 4a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 4 3 2 3 +--R - 8a b cosh(x) - 40a b cosh(x) + (- 8a b - 72a b )cosh(x) +--R + +--R 2 3 4 2 3 2 5 4 +--R (- 24a b - 56a b)cosh(x) + (- 24a b - 16a )cosh(x) - 8a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 3 2 4 +--R - 2a b cosh(x) - 12a b cosh(x) + (- 4a b - 26a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (- 16a b - 24a b)cosh(x) + (- 2a b - 20a b - 8a )cosh(x) +--R + +--R 2 3 4 3 2 +--R (- 4a b - 8a b)cosh(x) - 2a b +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 3 5 +--R (- b cosh(x) - a b )sinh(x) +--R + +--R 4 2 3 4 2 2 2 2 4 +--R (- 4b cosh(x) - 8a b cosh(x) + (b - a b )x - 4a b )sinh(x) +--R + +--R 4 3 3 2 +--R - 6b cosh(x) - 20a b cosh(x) +--R + +--R 4 2 2 4 2 2 3 3 3 +--R ((4b - 4a b )x - 2b - 20a b )cosh(x) + (4a b - 4a b)x - 2a b +--R + +--R 3 +--R - 6a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 3 3 +--R - 4b cosh(x) - 22a b cosh(x) +--R + +--R 4 2 2 4 2 2 2 +--R ((2b - 2a b )x - 6b - 36a b )cosh(x) +--R + +--R 3 3 3 3 4 2 2 +--R ((4a b - 4a b)x - 12a b - 22a b)cosh(x) + (2b - 2a b )x +--R + +--R 2 2 4 +--R - 6a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 3 4 +--R - b cosh(x) - 11a b cosh(x) +--R + +--R 4 2 2 4 2 2 3 +--R ((- 4b + 4a b )x - 6b - 28a b )cosh(x) +--R + +--R 3 3 3 3 2 +--R ((- 4a b + 4a b)x - 20a b - 26a b)cosh(x) +--R + +--R 4 2 2 4 2 2 4 3 3 +--R ((4b - 4a b )x - b - 20a b - 8a )cosh(x) + (4a b - 4a b)x +--R + +--R 3 3 +--R - a b - 6a b +--R * +--R sinh(x) +--R + +--R 3 5 4 2 2 4 2 2 4 +--R - 2a b cosh(x) + ((- 3b + 3a b )x - 2b - 8a b )cosh(x) +--R + +--R 3 3 3 3 3 +--R ((- 4a b + 4a b)x - 10a b - 10a b)cosh(x) +--R + +--R 4 2 2 4 2 2 4 2 +--R ((2b - 2a b )x - 2b - 14a b - 4a )cosh(x) +--R + +--R 3 3 3 3 4 2 2 2 2 +--R ((4a b - 4a b)x - 4a b - 6a b)cosh(x) + (b - a b )x - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 7 2 5 2 6 3 4 2 5 4 3 +--R ((2b - 2a b )cosh(x) + (4a b - 4a b )cosh(x) + 2a b - 2a b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (8b - 8a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 2 5 4 3 3 4 5 2 +--R (24a b - 24a b )cosh(x) + 8a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (12b - 12a b )cosh(x) + (48a b - 48a b )cosh(x) +--R + +--R 7 2 5 4 3 2 6 3 4 5 2 +--R (4b + 64a b - 68a b )cosh(x) + (8a b + 32a b - 40a b )cosh(x) +--R + +--R 2 5 4 3 6 +--R 4a b + 4a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 5 6 3 4 4 +--R (8b - 8a b )cosh(x) + (40a b - 40a b )cosh(x) +--R + +--R 7 2 5 4 3 3 +--R (8b + 64a b - 72a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (24a b + 32a b - 56a b )cosh(x) +--R + +--R 2 5 4 3 6 3 4 5 2 +--R (24a b - 8a b - 16a b)cosh(x) + 8a b - 8a b +--R * +--R sinh(x) +--R + +--R 7 2 5 6 6 3 4 5 +--R (2b - 2a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 7 2 5 4 3 4 6 3 4 5 2 3 +--R (4b + 22a b - 26a b )cosh(x) + (16a b + 8a b - 24a b )cosh(x) +--R + +--R 7 2 5 4 3 6 2 6 3 4 5 2 +--R (2b + 18a b - 12a b - 8a b)cosh(x) + (4a b + 4a b - 8a b )cosh(x) +--R + +--R 2 5 4 3 +--R 2a b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 286 + +--S 287 of 518 +d0954a:= D(m0954a,x) +--R +--R +--R (276) +--R 6 5 5 2 4 8 +--R ((b - a b )cosh(x) + a b - a b )sinh(x) +--R + +--R 6 5 2 5 2 4 +--R (6b - 6a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 +--R (- 2b + 2a b + 2a b - 2a b )x + 6a b - 6a b +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (14b - 15a b )cosh(x) + (43a b - 46a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 12b + 12a b + 12a b - 12a b )x + 4b - 4a b + 40a b +--R + +--R 3 3 +--R - 43a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 12a b + 12a b + 12a b - 12a b )x + 4a b - 4a b + 11a b +--R + +--R 4 2 +--R - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (14b - 20a b )cosh(x) + (62a b - 86a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 30b + 30a b + 30a b - 30a b )x + 18b - 18a b + 84a b +--R + +--R 3 3 +--R - 120a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 60a b + 60a b + 60a b - 60a b )x + 36a b - 36a b +--R + +--R 3 3 4 2 +--R 38a b - 62a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 +--R (- 6b + 6a b - 18a b + 18a b + 24a b - 24a b)x + 18a b +--R + +--R 3 3 4 2 5 +--R - 18a b + 2a b - 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 5 2 4 4 +--R - 15a b cosh(x) + (15a b - 90a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 32b + 32a b + 32a b - 32a b )x + 30b - 33a b + 30a b +--R + +--R 3 3 +--R - 177a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 96a b + 96a b + 96a b - 96a b )x + 93a b - 102a b +--R + +--R 3 3 4 2 +--R - 3a b - 138a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 24b + 24a b - 48a b + 48a b + 72a b - 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 6a b + 84a b - 93a b - 30a b - 36a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 24a b + 24a b + 16a b - 16a b + 8a b - 8a )x + 6a b +--R + +--R 2 4 3 3 4 2 5 +--R - 6a b + 21a b - 24a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (- 14b - 6a b )cosh(x) + (- 64a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (2b - 2a b - 2a b + 2a b )x + 20b - 32a b - 130a b +--R + +--R 3 3 +--R - 158a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 24a b + 24a b + 24a b - 24a b )x + 92a b - 140a b +--R + +--R 3 3 4 2 +--R - 172a b - 180a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 36b + 36a b - 12a b + 12a b + 48a b - 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 18a b + 120a b - 192a b - 148a b - 80a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 72a b + 72a b + 56a b - 56a b + 16a b - 16a )x +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 36a b - 36a b + 44a b - 92a b - 64a b - 8a +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 +--R (- 6b + 6a b - 18a b + 18a b + 24a b - 24a b)x + 18a b +--R + +--R 3 3 4 2 5 6 +--R - 18a b - 4a b - 8a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 7 5 2 4 6 +--R (- 14b - a b )cosh(x) + (- 83a b - 22a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 2 4 +--R (36b - 36a b - 36a b + 36a b )x - 18a b - 204a b +--R + +--R 3 3 +--R - 93a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (84a b - 84a b - 84a b + 84a b )x + 18a b - 108a b +--R + +--R 3 3 4 2 +--R - 283a b - 152a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 32b + 32a b + 80a b - 80a b - 48a b + 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 21a b + 36a b - 210a b - 244a b - 104a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 96a b + 96a b + 96a b - 96a b )x + 57a b - 66a b +--R + +--R 3 3 4 2 5 6 +--R - 6a b - 156a b - 120a b - 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 12b + 12a b - 60a b + 60a b + 72a b - 72a b)x + 4b +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 4a b + 48a b - 57a b - 36a b - 36a b - 24a +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 12a b + 12a b + 4a b - 4a b + 8a b - 8a )x + 4a b - 4a b +--R + +--R 3 3 4 2 5 +--R 9a b - 12a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 8 5 2 4 7 +--R - 6b cosh(x) + (- 42a b - 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (30b - 30a b - 30a b + 30a b )x - 6b - 6a b - 120a b +--R + +--R 3 3 +--R - 36a b +--R * +--R 6 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (84a b - 84a b - 84a b + 84a b )x - 24a b - 48a b +--R + +--R 3 3 4 2 +--R - 186a b - 78a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 22b + 22a b + 94a b - 94a b - 72a b + 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 12a b - 42a b - 126a b - 174a b - 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 72a b + 72a b + 88a b - 88a b - 16a b + 16a )x +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 30a b - 54a b - 60a b - 132a b - 96a b - 24a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 6b + 6a b - 66a b + 66a b + 72a b - 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 6a b + 36a b - 72a b - 60a b - 48a b - 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 12a b + 12a b - 4a b + 4a b + 16a b - 16a )x + 12a b +--R + +--R 2 4 3 3 4 2 5 +--R - 12a b + 6a b - 30a b - 24a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 4 2 +--R (- 2b + 2a b + 2a b - 2a b )x + 6a b - 6a b - 6a b +--R * +--R sinh(x) +--R + +--R 6 9 5 2 4 8 +--R - b cosh(x) + (- 8a b - a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 3 3 +--R ((8b - 8a b - 8a b + 8a b )x - 2b - a b - 26a b - 7a b ) +--R * +--R 7 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (24a b - 24a b - 24a b + 24a b )x - 11a b - 10a b - 45a b +--R + +--R 4 2 +--R - 18a b +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 8b + 8a b + 32a b - 32a b - 24a b + 24a b)x - 3a b +--R + +--R 2 4 3 3 4 2 5 +--R - 24a b - 33a b - 46a b - 20a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 24a b + 24a b + 32a b - 32a b - 8a b + 8a )x + 3a b +--R + +--R 2 4 3 3 4 2 5 6 +--R - 18a b - 31a b - 44a b - 28a b - 8a +--R * +--R 4 +--R cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 2 4 +--R (- 24a b + 24a b + 24a b - 24a b)x + 2b - 3a b + 6a b +--R + +--R 3 3 4 2 5 6 +--R - 33a b - 28a b - 20a b - 8a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 3 4 2 5 6 5 2 4 3 3 4 2 +--R (- 8a b + 8a b + 8a b - 8a )x + 7a b - 10a b - 3a b - 18a b +--R + +--R 5 +--R - 12a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (b - a b + 4a b - 7a b - 6a b )cosh(x) + a b - a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 5 5 2 4 8 +--R ((b + a b )cosh(x) + a b + a b )sinh(x) +--R + +--R 6 5 2 5 2 4 +--R (6b + 6a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 +--R (- 2b - 2a b + 2a b + 2a b )x + 6a b + 6a b +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (14b + 15a b )cosh(x) + (43a b + 46a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 12b - 12a b + 12a b + 12a b )x + 4b + 4a b + 40a b +--R + +--R 3 3 +--R 43a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 12a b - 12a b + 12a b + 12a b )x + 4a b + 4a b + 11a b +--R + +--R 4 2 +--R 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (14b + 20a b )cosh(x) + (62a b + 86a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 30b - 30a b + 30a b + 30a b )x + 18b + 18a b + 84a b +--R + +--R 3 3 +--R 120a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 60a b - 60a b + 60a b + 60a b )x + 36a b + 36a b + 38a b +--R + +--R 4 2 +--R 62a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 6b - 6a b - 18a b - 18a b + 24a b + 24a b)x + 18a b + 18a b +--R + +--R 4 2 5 +--R 2a b + 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 5 2 4 4 +--R 15a b cosh(x) + (15a b + 90a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 32b - 32a b + 32a b + 32a b )x + 30b + 33a b + 30a b +--R + +--R 3 3 +--R 177a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 96a b - 96a b + 96a b + 96a b )x + 93a b + 102a b - 3a b +--R + +--R 4 2 +--R 138a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 24b - 24a b - 48a b - 48a b + 72a b + 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R 6a b + 84a b + 93a b - 30a b + 36a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 24a b - 24a b + 16a b + 16a b + 8a b + 8a )x + 6a b + 6a b +--R + +--R 3 3 4 2 5 +--R 21a b + 24a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (- 14b + 6a b )cosh(x) + (- 64a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (2b + 2a b - 2a b - 2a b )x + 20b + 32a b - 130a b +--R + +--R 3 3 +--R 158a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 24a b - 24a b + 24a b + 24a b )x + 92a b + 140a b +--R + +--R 3 3 4 2 +--R - 172a b + 180a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 36b - 36a b - 12a b - 12a b + 48a b + 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R 18a b + 120a b + 192a b - 148a b + 80a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 72a b - 72a b + 56a b + 56a b + 16a b + 16a )x + 36a b +--R + +--R 2 4 3 3 4 2 5 6 +--R 36a b + 44a b + 92a b - 64a b + 8a +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 6b - 6a b - 18a b - 18a b + 24a b + 24a b)x + 18a b + 18a b +--R + +--R 4 2 5 6 +--R - 4a b + 8a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 7 5 2 4 6 +--R (- 14b + a b )cosh(x) + (- 83a b + 22a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 2 4 3 3 +--R ((36b + 36a b - 36a b - 36a b )x + 18a b - 204a b + 93a b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (84a b + 84a b - 84a b - 84a b )x + 18a b + 108a b - 283a b +--R + +--R 4 2 +--R 152a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 32b - 32a b + 80a b + 80a b - 48a b - 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R 21a b + 36a b + 210a b - 244a b + 104a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 96a b - 96a b + 96a b + 96a b )x + 57a b + 66a b - 6a b +--R + +--R 4 2 5 6 +--R 156a b - 120a b + 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 12b - 12a b - 60a b - 60a b + 72a b + 72a b)x + 4b +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 4a b + 48a b + 57a b - 36a b + 36a b - 24a +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 12a b - 12a b + 4a b + 4a b + 8a b + 8a )x + 4a b + 4a b +--R + +--R 3 3 4 2 5 +--R 9a b + 12a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 8 5 2 4 7 +--R - 6b cosh(x) + (- 42a b + 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (30b + 30a b - 30a b - 30a b )x - 6b + 6a b - 120a b +--R + +--R 3 3 +--R 36a b +--R * +--R 6 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (84a b + 84a b - 84a b - 84a b )x - 24a b + 48a b - 186a b +--R + +--R 4 2 +--R 78a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 22b - 22a b + 94a b + 94a b - 72a b - 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R 12a b - 42a b + 126a b - 174a b + 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 72a b - 72a b + 88a b + 88a b - 16a b - 16a )x + 30a b +--R + +--R 2 4 3 3 4 2 5 6 +--R 54a b - 60a b + 132a b - 96a b + 24a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 5 +--R (- 6b - 6a b - 66a b - 66a b + 72a b + 72a b)x + 6b + 6a b +--R + +--R 2 4 3 3 4 2 5 6 +--R 36a b + 72a b - 60a b + 48a b - 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 12a b - 12a b - 4a b - 4a b + 16a b + 16a )x + 12a b +--R + +--R 2 4 3 3 4 2 5 +--R 12a b + 6a b + 30a b - 24a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 4 2 +--R (- 2b - 2a b + 2a b + 2a b )x + 6a b + 6a b - 6a b +--R * +--R sinh(x) +--R + +--R 6 9 5 2 4 8 +--R - b cosh(x) + (- 8a b + a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 3 3 7 +--R ((8b + 8a b - 8a b - 8a b )x - 2b + a b - 26a b + 7a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (24a b + 24a b - 24a b - 24a b )x - 11a b + 10a b - 45a b +--R + +--R 4 2 +--R 18a b +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 2 4 +--R (- 8b - 8a b + 32a b + 32a b - 24a b - 24a b)x + 3a b - 24a b +--R + +--R 3 3 4 2 5 +--R 33a b - 46a b + 20a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 24a b - 24a b + 32a b + 32a b - 8a b - 8a )x + 3a b + 18a b +--R + +--R 3 3 4 2 5 6 +--R - 31a b + 44a b - 28a b + 8a +--R * +--R 4 +--R cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 2 4 3 3 +--R (- 24a b - 24a b + 24a b + 24a b)x + 2b + 3a b + 6a b + 33a b +--R + +--R 4 2 5 6 +--R - 28a b + 20a b - 8a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 3 4 2 5 6 5 2 4 3 3 4 2 +--R (- 8a b - 8a b + 8a b + 8a )x + 7a b + 10a b - 3a b + 18a b +--R + +--R 5 +--R - 12a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (b + a b + 4a b + 7a b - 6a b )cosh(x) + a b + a b - a b +--R / +--R 9 8 2 7 3 6 3 +--R (2b - 2a b - 2a b + 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (6a b - 6a b - 6a b + 6a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 3 6 4 5 5 4 +--R (6a b - 6a b - 6a b + 6a b )cosh(x) + 2a b - 2a b - 2a b +--R + +--R 6 3 +--R 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 +--R (12b - 12a b - 12a b + 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (48a b - 48a b - 48a b + 48a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 2 +--R (72a b - 72a b - 72a b + 72a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 4 5 5 4 +--R (48a b - 48a b - 48a b + 48a b )cosh(x) + 12a b - 12a b +--R + +--R 6 3 7 2 +--R - 12a b + 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 5 +--R (30b - 30a b - 30a b + 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (150a b - 150a b - 150a b + 150a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (6b - 6a b + 288a b - 288a b - 294a b + 294a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 2 +--R (18a b - 18a b + 264a b - 264a b - 282a b + 282a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (18a b - 18a b + 114a b - 114a b - 132a b + 132a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b - 6a b + 18a b - 18a b - 24a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 6 +--R (40b - 40a b - 40a b + 40a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 +--R (240a b - 240a b - 240a b + 240a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 4 +--R (24b - 24a b + 552a b - 552a b - 576a b + 576a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 3 +--R (96a b - 96a b + 608a b - 608a b - 704a b + 704a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (144a b - 144a b + 312a b - 312a b - 456a b + 456a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (96a b - 96a b + 48a b - 48a b - 144a b + 144a b)cosh(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R 24a b - 24a b - 8a b + 8a b - 16a b + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 7 +--R (30b - 30a b - 30a b + 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 +--R (210a b - 210a b - 210a b + 210a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 5 +--R (36b - 36a b + 558a b - 558a b - 594a b + 594a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (180a b - 180a b + 690a b - 690a b - 870a b + 870a b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b - 6a b + 342a b - 342a b + 348a b - 348a b - 696a b +--R + +--R 7 2 +--R 696a b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 18a b - 18a b + 306a b - 306a b - 36a b + 36a b +--R + +--R 7 2 8 +--R - 288a b + 288a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 18a b - 18a b + 126a b - 126a b - 96a b + 96a b - 48a b +--R + +--R 9 +--R 48a +--R * +--R cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b - 6a b + 18a b - 18a b - 24a b + 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 8 +--R (12b - 12a b - 12a b + 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 7 +--R (96a b - 96a b - 96a b + 96a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 +--R (24b - 24a b + 288a b - 288a b - 312a b + 312a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (144a b - 144a b + 384a b - 384a b - 528a b + 528a b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 12b - 12a b + 324a b - 324a b + 156a b - 156a b +--R + +--R 6 3 7 2 +--R - 492a b + 492a b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 48a b - 48a b + 336a b - 336a b - 144a b + 144a b +--R + +--R 7 2 8 +--R - 240a b + 240a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 72a b - 72a b + 144a b - 144a b - 168a b + 168a b +--R + +--R 8 9 +--R - 48a b + 48a +--R * +--R 2 +--R cosh(x) +--R + +--R 3 6 4 5 7 2 8 4 5 5 4 +--R (48a b - 48a b - 48a b + 48a b)cosh(x) + 12a b - 12a b +--R + +--R 6 3 7 2 +--R - 12a b + 12a b +--R * +--R sinh(x) +--R + +--R 9 8 2 7 3 6 9 +--R (2b - 2a b - 2a b + 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 8 +--R (18a b - 18a b - 18a b + 18a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 7 +--R (6b - 6a b + 60a b - 60a b - 66a b + 66a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 6 +--R (42a b - 42a b + 84a b - 84a b - 126a b + 126a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b - 6a b + 108a b - 108a b + 18a b - 18a b - 132a b +--R + +--R 7 2 +--R 132a b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 30a b - 30a b + 120a b - 120a b - 78a b + 78a b - 72a b +--R + +--R 8 +--R 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 2b - 2a b + 52a b - 52a b + 42a b - 42a b - 80a b + 80a b +--R + +--R 8 9 +--R - 16a b + 16a +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 6a b - 6a b + 36a b - 36a b - 18a b + 18a b - 24a b +--R + +--R 8 +--R 24a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 3 6 +--R (6a b - 6a b + 6a b - 6a b - 12a b + 12a b )cosh(x) + 2a b +--R + +--R 4 5 5 4 6 3 +--R - 2a b - 2a b + 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 9 8 2 7 3 6 3 +--R (2b + 2a b - 2a b - 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (6a b + 6a b - 6a b - 6a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 3 6 4 5 5 4 6 3 +--R (6a b + 6a b - 6a b - 6a b )cosh(x) + 2a b + 2a b - 2a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 +--R (12b + 12a b - 12a b - 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (48a b + 48a b - 48a b - 48a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 2 +--R (72a b + 72a b - 72a b - 72a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 4 5 5 4 6 3 +--R (48a b + 48a b - 48a b - 48a b )cosh(x) + 12a b + 12a b - 12a b +--R + +--R 7 2 +--R - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 5 +--R (30b + 30a b - 30a b - 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (150a b + 150a b - 150a b - 150a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (6b + 6a b + 288a b + 288a b - 294a b - 294a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 2 +--R (18a b + 18a b + 264a b + 264a b - 282a b - 282a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (18a b + 18a b + 114a b + 114a b - 132a b - 132a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b + 6a b + 18a b + 18a b - 24a b - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 6 +--R (40b + 40a b - 40a b - 40a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 +--R (240a b + 240a b - 240a b - 240a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 4 +--R (24b + 24a b + 552a b + 552a b - 576a b - 576a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 3 +--R (96a b + 96a b + 608a b + 608a b - 704a b - 704a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 2 +--R (144a b + 144a b + 312a b + 312a b - 456a b - 456a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (96a b + 96a b + 48a b + 48a b - 144a b - 144a b)cosh(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R 24a b + 24a b - 8a b - 8a b - 16a b - 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 7 +--R (30b + 30a b - 30a b - 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 +--R (210a b + 210a b - 210a b - 210a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 5 +--R (36b + 36a b + 558a b + 558a b - 594a b - 594a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 4 +--R (180a b + 180a b + 690a b + 690a b - 870a b - 870a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b + 6a b + 342a b + 342a b + 348a b + 348a b - 696a b +--R + +--R 7 2 +--R - 696a b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 18a b + 18a b + 306a b + 306a b - 36a b - 36a b - 288a b +--R + +--R 8 +--R - 288a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 18a b + 18a b + 126a b + 126a b - 96a b - 96a b - 48a b +--R + +--R 9 +--R - 48a +--R * +--R cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b + 6a b + 18a b + 18a b - 24a b - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 8 +--R (12b + 12a b - 12a b - 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 7 +--R (96a b + 96a b - 96a b - 96a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 +--R (24b + 24a b + 288a b + 288a b - 312a b - 312a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 5 +--R (144a b + 144a b + 384a b + 384a b - 528a b - 528a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 12b + 12a b + 324a b + 324a b + 156a b + 156a b - 492a b +--R + +--R 7 2 +--R - 492a b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 48a b + 48a b + 336a b + 336a b - 144a b - 144a b - 240a b +--R + +--R 8 +--R - 240a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 72a b + 72a b + 144a b + 144a b - 168a b - 168a b - 48a b +--R + +--R 9 +--R - 48a +--R * +--R 2 +--R cosh(x) +--R + +--R 3 6 4 5 7 2 8 4 5 5 4 6 3 +--R (48a b + 48a b - 48a b - 48a b)cosh(x) + 12a b + 12a b - 12a b +--R + +--R 7 2 +--R - 12a b +--R * +--R sinh(x) +--R + +--R 9 8 2 7 3 6 9 +--R (2b + 2a b - 2a b - 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 8 +--R (18a b + 18a b - 18a b - 18a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 7 +--R (6b + 6a b + 60a b + 60a b - 66a b - 66a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 6 +--R (42a b + 42a b + 84a b + 84a b - 126a b - 126a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R (6b + 6a b + 108a b + 108a b + 18a b + 18a b - 132a b - 132a b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 30a b + 30a b + 120a b + 120a b - 78a b - 78a b - 72a b +--R + +--R 8 +--R - 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 2b + 2a b + 52a b + 52a b + 42a b + 42a b - 80a b - 80a b +--R + +--R 8 9 +--R - 16a b - 16a +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (6a b + 6a b + 36a b + 36a b - 18a b - 18a b - 24a b - 24a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 3 6 4 5 +--R (6a b + 6a b + 6a b + 6a b - 12a b - 12a b )cosh(x) + 2a b + 2a b +--R + +--R 5 4 6 3 +--R - 2a b - 2a b +--R Type: Expression Integer +--E 287 + +--S 288 of 518 +m0954b:= a0954.2-r0954 +--R +--R +--R (277) +--R 4 2 2 3 3 2 4 +--R (- 2a b cosh(x) - 4a b cosh(x) - 2a b )sinh(x) +--R + +--R 4 3 2 3 2 3 2 4 3 +--R (- 8a b cosh(x) - 24a b cosh(x) - 24a b cosh(x) - 8a b)sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - 12a b cosh(x) - 48a b cosh(x) + (- 4a b - 68a b )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 8a b - 40a b)cosh(x) - 4a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 4 3 2 3 +--R - 8a b cosh(x) - 40a b cosh(x) + (- 8a b - 72a b )cosh(x) +--R + +--R 2 3 4 2 3 2 5 4 +--R (- 24a b - 56a b)cosh(x) + (- 24a b - 16a )cosh(x) - 8a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 3 2 4 +--R - 2a b cosh(x) - 12a b cosh(x) + (- 4a b - 26a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (- 16a b - 24a b)cosh(x) + (- 2a b - 20a b - 8a )cosh(x) +--R + +--R 2 3 4 3 2 +--R (- 4a b - 8a b)cosh(x) - 2a b +--R * +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|b - a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 2 2 3 3 2 4 +--R (- 2a b cosh(x) - 4a b cosh(x) - 2a b )sinh(x) +--R + +--R 4 3 2 3 2 3 2 4 3 +--R (- 8a b cosh(x) - 24a b cosh(x) - 24a b cosh(x) - 8a b)sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - 12a b cosh(x) - 48a b cosh(x) + (- 4a b - 68a b )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 8a b - 40a b)cosh(x) - 4a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 4 3 2 3 +--R - 8a b cosh(x) - 40a b cosh(x) + (- 8a b - 72a b )cosh(x) +--R + +--R 2 3 4 2 3 2 5 4 +--R (- 24a b - 56a b)cosh(x) + (- 24a b - 16a )cosh(x) - 8a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 3 2 4 +--R - 2a b cosh(x) - 12a b cosh(x) + (- 4a b - 26a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (- 16a b - 24a b)cosh(x) + (- 2a b - 20a b - 8a )cosh(x) +--R + +--R 2 3 4 3 2 +--R (- 4a b - 8a b)cosh(x) - 2a b +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sinh(x) + b cosh(x) + a)\|b - a +--R \|- b + a atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 4 3 5 +--R (- b cosh(x) - a b )sinh(x) +--R + +--R 4 2 3 4 2 2 2 2 4 +--R (- 4b cosh(x) - 8a b cosh(x) + (b - a b )x - 4a b )sinh(x) +--R + +--R 4 3 3 2 +--R - 6b cosh(x) - 20a b cosh(x) +--R + +--R 4 2 2 4 2 2 3 3 3 +--R ((4b - 4a b )x - 2b - 20a b )cosh(x) + (4a b - 4a b)x - 2a b +--R + +--R 3 +--R - 6a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 3 3 +--R - 4b cosh(x) - 22a b cosh(x) +--R + +--R 4 2 2 4 2 2 2 +--R ((2b - 2a b )x - 6b - 36a b )cosh(x) +--R + +--R 3 3 3 3 4 2 2 +--R ((4a b - 4a b)x - 12a b - 22a b)cosh(x) + (2b - 2a b )x +--R + +--R 2 2 4 +--R - 6a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 3 4 +--R - b cosh(x) - 11a b cosh(x) +--R + +--R 4 2 2 4 2 2 3 +--R ((- 4b + 4a b )x - 6b - 28a b )cosh(x) +--R + +--R 3 3 3 3 2 +--R ((- 4a b + 4a b)x - 20a b - 26a b)cosh(x) +--R + +--R 4 2 2 4 2 2 4 3 3 +--R ((4b - 4a b )x - b - 20a b - 8a )cosh(x) + (4a b - 4a b)x +--R + +--R 3 3 +--R - a b - 6a b +--R * +--R sinh(x) +--R + +--R 3 5 4 2 2 4 2 2 4 +--R - 2a b cosh(x) + ((- 3b + 3a b )x - 2b - 8a b )cosh(x) +--R + +--R 3 3 3 3 3 +--R ((- 4a b + 4a b)x - 10a b - 10a b)cosh(x) +--R + +--R 4 2 2 4 2 2 4 2 +--R ((2b - 2a b )x - 2b - 14a b - 4a )cosh(x) +--R + +--R 3 3 3 3 4 2 2 2 2 +--R ((4a b - 4a b)x - 4a b - 6a b)cosh(x) + (b - a b )x - 2a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 7 2 5 2 6 3 4 2 5 4 3 +--R ((2b - 2a b )cosh(x) + (4a b - 4a b )cosh(x) + 2a b - 2a b ) +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (8b - 8a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 2 5 4 3 3 4 5 2 +--R (24a b - 24a b )cosh(x) + 8a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (12b - 12a b )cosh(x) + (48a b - 48a b )cosh(x) +--R + +--R 7 2 5 4 3 2 6 3 4 5 2 +--R (4b + 64a b - 68a b )cosh(x) + (8a b + 32a b - 40a b )cosh(x) +--R + +--R 2 5 4 3 6 +--R 4a b + 4a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 5 6 3 4 4 +--R (8b - 8a b )cosh(x) + (40a b - 40a b )cosh(x) +--R + +--R 7 2 5 4 3 3 +--R (8b + 64a b - 72a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (24a b + 32a b - 56a b )cosh(x) +--R + +--R 2 5 4 3 6 3 4 5 2 +--R (24a b - 8a b - 16a b)cosh(x) + 8a b - 8a b +--R * +--R sinh(x) +--R + +--R 7 2 5 6 6 3 4 5 +--R (2b - 2a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 7 2 5 4 3 4 6 3 4 5 2 3 +--R (4b + 22a b - 26a b )cosh(x) + (16a b + 8a b - 24a b )cosh(x) +--R + +--R 7 2 5 4 3 6 2 6 3 4 5 2 +--R (2b + 18a b - 12a b - 8a b)cosh(x) + (4a b + 4a b - 8a b )cosh(x) +--R + +--R 2 5 4 3 +--R 2a b - 2a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 288 + +--S 289 of 518 +d0954b:= D(m0954b,x) +--R +--R +--R (278) +--R 6 5 5 2 4 8 +--R ((b - a b )cosh(x) + a b - a b )sinh(x) +--R + +--R 6 5 2 5 2 4 +--R (6b - 6a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 +--R (- 2b + 2a b + 2a b - 2a b )x + 6a b - 6a b +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (14b - 15a b )cosh(x) + (43a b - 46a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 12b + 12a b + 12a b - 12a b )x + 4b - 4a b + 40a b +--R + +--R 3 3 +--R - 43a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 12a b + 12a b + 12a b - 12a b )x + 4a b - 4a b + 11a b +--R + +--R 4 2 +--R - 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (14b - 20a b )cosh(x) + (62a b - 86a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 30b + 30a b + 30a b - 30a b )x + 18b - 18a b + 84a b +--R + +--R 3 3 +--R - 120a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 60a b + 60a b + 60a b - 60a b )x + 36a b - 36a b +--R + +--R 3 3 4 2 +--R 38a b - 62a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 +--R (- 6b + 6a b - 18a b + 18a b + 24a b - 24a b)x + 18a b +--R + +--R 3 3 4 2 5 +--R - 18a b + 2a b - 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 5 2 4 4 +--R - 15a b cosh(x) + (15a b - 90a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 32b + 32a b + 32a b - 32a b )x + 30b - 33a b + 30a b +--R + +--R 3 3 +--R - 177a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 96a b + 96a b + 96a b - 96a b )x + 93a b - 102a b +--R + +--R 3 3 4 2 +--R - 3a b - 138a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 24b + 24a b - 48a b + 48a b + 72a b - 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 6a b + 84a b - 93a b - 30a b - 36a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 24a b + 24a b + 16a b - 16a b + 8a b - 8a )x + 6a b +--R + +--R 2 4 3 3 4 2 5 +--R - 6a b + 21a b - 24a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (- 14b - 6a b )cosh(x) + (- 64a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (2b - 2a b - 2a b + 2a b )x + 20b - 32a b - 130a b +--R + +--R 3 3 +--R - 158a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 24a b + 24a b + 24a b - 24a b )x + 92a b - 140a b +--R + +--R 3 3 4 2 +--R - 172a b - 180a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 36b + 36a b - 12a b + 12a b + 48a b - 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 18a b + 120a b - 192a b - 148a b - 80a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 72a b + 72a b + 56a b - 56a b + 16a b - 16a )x +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 36a b - 36a b + 44a b - 92a b - 64a b - 8a +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 +--R (- 6b + 6a b - 18a b + 18a b + 24a b - 24a b)x + 18a b +--R + +--R 3 3 4 2 5 6 +--R - 18a b - 4a b - 8a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 7 5 2 4 6 +--R (- 14b - a b )cosh(x) + (- 83a b - 22a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 2 4 +--R (36b - 36a b - 36a b + 36a b )x - 18a b - 204a b +--R + +--R 3 3 +--R - 93a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (84a b - 84a b - 84a b + 84a b )x + 18a b - 108a b +--R + +--R 3 3 4 2 +--R - 283a b - 152a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 32b + 32a b + 80a b - 80a b - 48a b + 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 21a b + 36a b - 210a b - 244a b - 104a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 96a b + 96a b + 96a b - 96a b )x + 57a b - 66a b +--R + +--R 3 3 4 2 5 6 +--R - 6a b - 156a b - 120a b - 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 12b + 12a b - 60a b + 60a b + 72a b - 72a b)x + 4b +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 4a b + 48a b - 57a b - 36a b - 36a b - 24a +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 12a b + 12a b + 4a b - 4a b + 8a b - 8a )x + 4a b - 4a b +--R + +--R 3 3 4 2 5 +--R 9a b - 12a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 8 5 2 4 7 +--R - 6b cosh(x) + (- 42a b - 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (30b - 30a b - 30a b + 30a b )x - 6b - 6a b - 120a b +--R + +--R 3 3 +--R - 36a b +--R * +--R 6 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (84a b - 84a b - 84a b + 84a b )x - 24a b - 48a b +--R + +--R 3 3 4 2 +--R - 186a b - 78a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 22b + 22a b + 94a b - 94a b - 72a b + 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R - 12a b - 42a b - 126a b - 174a b - 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 72a b + 72a b + 88a b - 88a b - 16a b + 16a )x +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 30a b - 54a b - 60a b - 132a b - 96a b - 24a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 6b + 6a b - 66a b + 66a b + 72a b - 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 6a b + 36a b - 72a b - 60a b - 48a b - 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 12a b + 12a b - 4a b + 4a b + 16a b - 16a )x + 12a b +--R + +--R 2 4 3 3 4 2 5 +--R - 12a b + 6a b - 30a b - 24a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 4 2 +--R (- 2b + 2a b + 2a b - 2a b )x + 6a b - 6a b - 6a b +--R * +--R sinh(x) +--R + +--R 6 9 5 2 4 8 +--R - b cosh(x) + (- 8a b - a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 3 3 +--R ((8b - 8a b - 8a b + 8a b )x - 2b - a b - 26a b - 7a b ) +--R * +--R 7 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (24a b - 24a b - 24a b + 24a b )x - 11a b - 10a b - 45a b +--R + +--R 4 2 +--R - 18a b +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 8b + 8a b + 32a b - 32a b - 24a b + 24a b)x - 3a b +--R + +--R 2 4 3 3 4 2 5 +--R - 24a b - 33a b - 46a b - 20a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 24a b + 24a b + 32a b - 32a b - 8a b + 8a )x + 3a b +--R + +--R 2 4 3 3 4 2 5 6 +--R - 18a b - 31a b - 44a b - 28a b - 8a +--R * +--R 4 +--R cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 2 4 +--R (- 24a b + 24a b + 24a b - 24a b)x + 2b - 3a b + 6a b +--R + +--R 3 3 4 2 5 6 +--R - 33a b - 28a b - 20a b - 8a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 3 4 2 5 6 5 2 4 3 3 4 2 +--R (- 8a b + 8a b + 8a b - 8a )x + 7a b - 10a b - 3a b - 18a b +--R + +--R 5 +--R - 12a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (b - a b + 4a b - 7a b - 6a b )cosh(x) + a b - a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 5 5 2 4 8 +--R ((b + a b )cosh(x) + a b + a b )sinh(x) +--R + +--R 6 5 2 5 2 4 +--R (6b + 6a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 +--R (- 2b - 2a b + 2a b + 2a b )x + 6a b + 6a b +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (14b + 15a b )cosh(x) + (43a b + 46a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 12b - 12a b + 12a b + 12a b )x + 4b + 4a b + 40a b +--R + +--R 3 3 +--R 43a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 12a b - 12a b + 12a b + 12a b )x + 4a b + 4a b + 11a b +--R + +--R 4 2 +--R 12a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (14b + 20a b )cosh(x) + (62a b + 86a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 30b - 30a b + 30a b + 30a b )x + 18b + 18a b + 84a b +--R + +--R 3 3 +--R 120a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 60a b - 60a b + 60a b + 60a b )x + 36a b + 36a b + 38a b +--R + +--R 4 2 +--R 62a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 6b - 6a b - 18a b - 18a b + 24a b + 24a b)x + 18a b + 18a b +--R + +--R 4 2 5 +--R 2a b + 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 5 5 2 4 4 +--R 15a b cosh(x) + (15a b + 90a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (- 32b - 32a b + 32a b + 32a b )x + 30b + 33a b + 30a b +--R + +--R 3 3 +--R 177a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 96a b - 96a b + 96a b + 96a b )x + 93a b + 102a b - 3a b +--R + +--R 4 2 +--R 138a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 24b - 24a b - 48a b - 48a b + 72a b + 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R 6a b + 84a b + 93a b - 30a b + 36a b +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 24a b - 24a b + 16a b + 16a b + 8a b + 8a )x + 6a b + 6a b +--R + +--R 3 3 4 2 5 +--R 21a b + 24a b - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (- 14b + 6a b )cosh(x) + (- 64a b + 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (2b + 2a b - 2a b - 2a b )x + 20b + 32a b - 130a b +--R + +--R 3 3 +--R 158a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 +--R (- 24a b - 24a b + 24a b + 24a b )x + 92a b + 140a b +--R + +--R 3 3 4 2 +--R - 172a b + 180a b +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 36b - 36a b - 12a b - 12a b + 48a b + 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R 18a b + 120a b + 192a b - 148a b + 80a b +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 72a b - 72a b + 56a b + 56a b + 16a b + 16a )x + 36a b +--R + +--R 2 4 3 3 4 2 5 6 +--R 36a b + 44a b + 92a b - 64a b + 8a +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 6b - 6a b - 18a b - 18a b + 24a b + 24a b)x + 18a b + 18a b +--R + +--R 4 2 5 6 +--R - 4a b + 8a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 7 5 2 4 6 +--R (- 14b + a b )cosh(x) + (- 83a b + 22a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 2 4 3 3 +--R ((36b + 36a b - 36a b - 36a b )x + 18a b - 204a b + 93a b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (84a b + 84a b - 84a b - 84a b )x + 18a b + 108a b - 283a b +--R + +--R 4 2 +--R 152a b +--R * +--R 4 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 32b - 32a b + 80a b + 80a b - 48a b - 48a b)x + 18b +--R + +--R 5 2 4 3 3 4 2 5 +--R 21a b + 36a b + 210a b - 244a b + 104a b +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (- 96a b - 96a b + 96a b + 96a b )x + 57a b + 66a b - 6a b +--R + +--R 4 2 5 6 +--R 156a b - 120a b + 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 12b - 12a b - 60a b - 60a b + 72a b + 72a b)x + 4b +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 4a b + 48a b + 57a b - 36a b + 36a b - 24a +--R * +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 12a b - 12a b + 4a b + 4a b + 8a b + 8a )x + 4a b + 4a b +--R + +--R 3 3 4 2 5 +--R 9a b + 12a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 8 5 2 4 7 +--R - 6b cosh(x) + (- 42a b + 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 +--R (30b + 30a b - 30a b - 30a b )x - 6b + 6a b - 120a b +--R + +--R 3 3 +--R 36a b +--R * +--R 6 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (84a b + 84a b - 84a b - 84a b )x - 24a b + 48a b - 186a b +--R + +--R 4 2 +--R 78a b +--R * +--R 5 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 22b - 22a b + 94a b + 94a b - 72a b - 72a b)x + 6b +--R + +--R 5 2 4 3 3 4 2 5 +--R 12a b - 42a b + 126a b - 174a b + 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 72a b - 72a b + 88a b + 88a b - 16a b - 16a )x + 30a b +--R + +--R 2 4 3 3 4 2 5 6 +--R 54a b - 60a b + 132a b - 96a b + 24a +--R * +--R 3 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 5 +--R (- 6b - 6a b - 66a b - 66a b + 72a b + 72a b)x + 6b + 6a b +--R + +--R 2 4 3 3 4 2 5 6 +--R 36a b + 72a b - 60a b + 48a b - 24a +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 12a b - 12a b - 4a b - 4a b + 16a b + 16a )x + 12a b +--R + +--R 2 4 3 3 4 2 5 +--R 12a b + 6a b + 30a b - 24a b +--R * +--R cosh(x) +--R + +--R 6 5 2 4 3 3 2 4 3 3 4 2 +--R (- 2b - 2a b + 2a b + 2a b )x + 6a b + 6a b - 6a b +--R * +--R sinh(x) +--R + +--R 6 9 5 2 4 8 +--R - b cosh(x) + (- 8a b + a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 5 2 4 3 3 7 +--R ((8b + 8a b - 8a b - 8a b )x - 2b + a b - 26a b + 7a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 4 3 3 +--R (24a b + 24a b - 24a b - 24a b )x - 11a b + 10a b - 45a b +--R + +--R 4 2 +--R 18a b +--R * +--R 6 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 5 2 4 +--R (- 8b - 8a b + 32a b + 32a b - 24a b - 24a b)x + 3a b - 24a b +--R + +--R 3 3 4 2 5 +--R 33a b - 46a b + 20a b +--R * +--R 5 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 2 4 +--R (- 24a b - 24a b + 32a b + 32a b - 8a b - 8a )x + 3a b + 18a b +--R + +--R 3 3 4 2 5 6 +--R - 31a b + 44a b - 28a b + 8a +--R * +--R 4 +--R cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 5 2 4 3 3 +--R (- 24a b - 24a b + 24a b + 24a b)x + 2b + 3a b + 6a b + 33a b +--R + +--R 4 2 5 6 +--R - 28a b + 20a b - 8a +--R * +--R 3 +--R cosh(x) +--R + +--R 3 3 4 2 5 6 5 2 4 3 3 4 2 +--R (- 8a b - 8a b + 8a b + 8a )x + 7a b + 10a b - 3a b + 18a b +--R + +--R 5 +--R - 12a b +--R * +--R 2 +--R cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 4 3 3 +--R (b + a b + 4a b + 7a b - 6a b )cosh(x) + a b + a b - a b +--R / +--R 9 8 2 7 3 6 3 +--R (2b - 2a b - 2a b + 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (6a b - 6a b - 6a b + 6a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 3 6 4 5 5 4 +--R (6a b - 6a b - 6a b + 6a b )cosh(x) + 2a b - 2a b - 2a b +--R + +--R 6 3 +--R 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 +--R (12b - 12a b - 12a b + 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (48a b - 48a b - 48a b + 48a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 2 +--R (72a b - 72a b - 72a b + 72a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 4 5 5 4 +--R (48a b - 48a b - 48a b + 48a b )cosh(x) + 12a b - 12a b +--R + +--R 6 3 7 2 +--R - 12a b + 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 5 +--R (30b - 30a b - 30a b + 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (150a b - 150a b - 150a b + 150a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (6b - 6a b + 288a b - 288a b - 294a b + 294a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 2 +--R (18a b - 18a b + 264a b - 264a b - 282a b + 282a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (18a b - 18a b + 114a b - 114a b - 132a b + 132a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b - 6a b + 18a b - 18a b - 24a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 6 +--R (40b - 40a b - 40a b + 40a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 +--R (240a b - 240a b - 240a b + 240a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 4 +--R (24b - 24a b + 552a b - 552a b - 576a b + 576a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 3 +--R (96a b - 96a b + 608a b - 608a b - 704a b + 704a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (144a b - 144a b + 312a b - 312a b - 456a b + 456a b ) +--R * +--R 2 +--R cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (96a b - 96a b + 48a b - 48a b - 144a b + 144a b)cosh(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R 24a b - 24a b - 8a b + 8a b - 16a b + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 7 +--R (30b - 30a b - 30a b + 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 +--R (210a b - 210a b - 210a b + 210a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 5 +--R (36b - 36a b + 558a b - 558a b - 594a b + 594a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (180a b - 180a b + 690a b - 690a b - 870a b + 870a b ) +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b - 6a b + 342a b - 342a b + 348a b - 348a b - 696a b +--R + +--R 7 2 +--R 696a b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 18a b - 18a b + 306a b - 306a b - 36a b + 36a b +--R + +--R 7 2 8 +--R - 288a b + 288a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 18a b - 18a b + 126a b - 126a b - 96a b + 96a b - 48a b +--R + +--R 9 +--R 48a +--R * +--R cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b - 6a b + 18a b - 18a b - 24a b + 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 8 +--R (12b - 12a b - 12a b + 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 7 +--R (96a b - 96a b - 96a b + 96a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 +--R (24b - 24a b + 288a b - 288a b - 312a b + 312a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (144a b - 144a b + 384a b - 384a b - 528a b + 528a b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 12b - 12a b + 324a b - 324a b + 156a b - 156a b +--R + +--R 6 3 7 2 +--R - 492a b + 492a b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 48a b - 48a b + 336a b - 336a b - 144a b + 144a b +--R + +--R 7 2 8 +--R - 240a b + 240a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 72a b - 72a b + 144a b - 144a b - 168a b + 168a b +--R + +--R 8 9 +--R - 48a b + 48a +--R * +--R 2 +--R cosh(x) +--R + +--R 3 6 4 5 7 2 8 4 5 5 4 +--R (48a b - 48a b - 48a b + 48a b)cosh(x) + 12a b - 12a b +--R + +--R 6 3 7 2 +--R - 12a b + 12a b +--R * +--R sinh(x) +--R + +--R 9 8 2 7 3 6 9 +--R (2b - 2a b - 2a b + 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 8 +--R (18a b - 18a b - 18a b + 18a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 7 +--R (6b - 6a b + 60a b - 60a b - 66a b + 66a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 6 +--R (42a b - 42a b + 84a b - 84a b - 126a b + 126a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b - 6a b + 108a b - 108a b + 18a b - 18a b - 132a b +--R + +--R 7 2 +--R 132a b +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 30a b - 30a b + 120a b - 120a b - 78a b + 78a b - 72a b +--R + +--R 8 +--R 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 2b - 2a b + 52a b - 52a b + 42a b - 42a b - 80a b + 80a b +--R + +--R 8 9 +--R - 16a b + 16a +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 6a b - 6a b + 36a b - 36a b - 18a b + 18a b - 24a b +--R + +--R 8 +--R 24a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 3 6 +--R (6a b - 6a b + 6a b - 6a b - 12a b + 12a b )cosh(x) + 2a b +--R + +--R 4 5 5 4 6 3 +--R - 2a b - 2a b + 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 9 8 2 7 3 6 3 +--R (2b + 2a b - 2a b - 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (6a b + 6a b - 6a b - 6a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 3 6 4 5 5 4 6 3 +--R (6a b + 6a b - 6a b - 6a b )cosh(x) + 2a b + 2a b - 2a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 4 +--R (12b + 12a b - 12a b - 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (48a b + 48a b - 48a b - 48a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 2 +--R (72a b + 72a b - 72a b - 72a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 4 5 5 4 6 3 +--R (48a b + 48a b - 48a b - 48a b )cosh(x) + 12a b + 12a b - 12a b +--R + +--R 7 2 +--R - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 5 +--R (30b + 30a b - 30a b - 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (150a b + 150a b - 150a b - 150a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (6b + 6a b + 288a b + 288a b - 294a b - 294a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 2 +--R (18a b + 18a b + 264a b + 264a b - 282a b - 282a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R (18a b + 18a b + 114a b + 114a b - 132a b - 132a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b + 6a b + 18a b + 18a b - 24a b - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 6 +--R (40b + 40a b - 40a b - 40a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 +--R (240a b + 240a b - 240a b - 240a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 4 +--R (24b + 24a b + 552a b + 552a b - 576a b - 576a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 3 +--R (96a b + 96a b + 608a b + 608a b - 704a b - 704a b )cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 2 +--R (144a b + 144a b + 312a b + 312a b - 456a b - 456a b )cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (96a b + 96a b + 48a b + 48a b - 144a b - 144a b)cosh(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R 24a b + 24a b - 8a b - 8a b - 16a b - 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 7 +--R (30b + 30a b - 30a b - 30a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 6 +--R (210a b + 210a b - 210a b - 210a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 5 +--R (36b + 36a b + 558a b + 558a b - 594a b - 594a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 4 +--R (180a b + 180a b + 690a b + 690a b - 870a b - 870a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b + 6a b + 342a b + 342a b + 348a b + 348a b - 696a b +--R + +--R 7 2 +--R - 696a b +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 18a b + 18a b + 306a b + 306a b - 36a b - 36a b - 288a b +--R + +--R 8 +--R - 288a b +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 18a b + 18a b + 126a b + 126a b - 96a b - 96a b - 48a b +--R + +--R 9 +--R - 48a +--R * +--R cosh(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 6a b + 6a b + 18a b + 18a b - 24a b - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 2 7 3 6 8 +--R (12b + 12a b - 12a b - 12a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 7 +--R (96a b + 96a b - 96a b - 96a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 +--R (24b + 24a b + 288a b + 288a b - 312a b - 312a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 5 +--R (144a b + 144a b + 384a b + 384a b - 528a b - 528a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 12b + 12a b + 324a b + 324a b + 156a b + 156a b - 492a b +--R + +--R 7 2 +--R - 492a b +--R * +--R 4 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 48a b + 48a b + 336a b + 336a b - 144a b - 144a b - 240a b +--R + +--R 8 +--R - 240a b +--R * +--R 3 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R 72a b + 72a b + 144a b + 144a b - 168a b - 168a b - 48a b +--R + +--R 9 +--R - 48a +--R * +--R 2 +--R cosh(x) +--R + +--R 3 6 4 5 7 2 8 4 5 5 4 6 3 +--R (48a b + 48a b - 48a b - 48a b)cosh(x) + 12a b + 12a b - 12a b +--R + +--R 7 2 +--R - 12a b +--R * +--R sinh(x) +--R + +--R 9 8 2 7 3 6 9 +--R (2b + 2a b - 2a b - 2a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 8 +--R (18a b + 18a b - 18a b - 18a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 7 +--R (6b + 6a b + 60a b + 60a b - 66a b - 66a b )cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 6 +--R (42a b + 42a b + 84a b + 84a b - 126a b - 126a b )cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R (6b + 6a b + 108a b + 108a b + 18a b + 18a b - 132a b - 132a b ) +--R * +--R 5 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 30a b + 30a b + 120a b + 120a b - 78a b - 78a b - 72a b +--R + +--R 8 +--R - 72a b +--R * +--R 4 +--R cosh(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 2b + 2a b + 52a b + 52a b + 42a b + 42a b - 80a b - 80a b +--R + +--R 8 9 +--R - 16a b - 16a +--R * +--R 3 +--R cosh(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (6a b + 6a b + 36a b + 36a b - 18a b - 18a b - 24a b - 24a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 3 6 4 5 +--R (6a b + 6a b + 6a b + 6a b - 12a b - 12a b )cosh(x) + 2a b + 2a b +--R + +--R 5 4 6 3 +--R - 2a b - 2a b +--R Type: Expression Integer +--E 289 + +--S 290 of 518 +t0955:= x*sech(x)^2/(a+b*tanh(x))^2 +--R +--R +--R 2 +--R x sech(x) +--R (279) ------------------------------ +--R 2 2 2 +--R b tanh(x) + 2a b tanh(x) + a +--R Type: Expression Integer +--E 290 + +--S 291 of 518 +r0955:= a*x/b/(a^2-b^2)-log(a*cosh(x)+b*sinh(x))/(a^2-b^2)-x/b/(a+b*tanh(x)) +--R +--R +--R (b tanh(x) + a)log(b sinh(x) + a cosh(x)) - a x tanh(x) - b x +--R (280) ------------------------------------------------------------- +--R 3 2 2 3 +--R (b - a b)tanh(x) + a b - a +--R Type: Expression Integer +--E 291 + +--S 292 of 518 +a0955:= integrate(t0955,x) +--R +--R +--R (281) +--R 2 2 +--R ((b + a)sinh(x) + (2b + 2a)cosh(x)sinh(x) + (b + a)cosh(x) - b + a) +--R * +--R - 2b sinh(x) - 2a cosh(x) +--R log(-------------------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 +--R (- 2b - 2a)x sinh(x) + (- 4b - 4a)x cosh(x)sinh(x) + (- 2b - 2a)x cosh(x) +--R / +--R 3 2 2 3 2 3 2 2 3 +--R (b + a b - a b - a )sinh(x) + (2b + 2a b - 2a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + a b - a b - a )cosh(x) - b + a b + a b - a +--R Type: Union(Expression Integer,...) +--E 292 + +--S 293 of 518 +m0955:= a0955-r0955 +--R +--R +--R (282) +--R 2 2 2 +--R (- b - a b)sinh(x) + (- 2b - 2a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- b - a b)cosh(x) + b - a b +--R * +--R tanh(x) +--R + +--R 2 2 2 +--R (- a b - a )sinh(x) + (- 2a b - 2a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- a b - a )cosh(x) + a b - a +--R * +--R log(b sinh(x) + a cosh(x)) +--R + +--R 2 2 2 +--R (b + a b)sinh(x) + (2b + 2a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (b + a b)cosh(x) - b + a b +--R * +--R tanh(x) +--R + +--R 2 2 2 2 2 +--R (a b + a )sinh(x) + (2a b + 2a )cosh(x)sinh(x) + (a b + a )cosh(x) +--R + +--R 2 +--R - a b + a +--R * +--R - 2b sinh(x) - 2a cosh(x) +--R log(-------------------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b - a b + a )x sinh(x) + (- 4b - 2a b + 2a )x cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 2b - a b + a )x cosh(x) + (- a b + a )x +--R * +--R tanh(x) +--R + +--R 2 2 2 2 2 +--R (b - a b - 2a )x sinh(x) + (2b - 2a b - 4a )x cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (b - a b - 2a )x cosh(x) + (- b + a b)x +--R / +--R 4 3 2 2 3 2 +--R (b + a b - a b - a b)sinh(x) +--R + +--R 4 3 2 2 3 +--R (2b + 2a b - 2a b - 2a b)cosh(x)sinh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 3 +--R (b + a b - a b - a b)cosh(x) - b + a b + a b - a b +--R * +--R tanh(x) +--R + +--R 3 2 2 3 4 2 +--R (a b + a b - a b - a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2a b + 2a b - 2a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 4 2 3 2 2 3 4 +--R (a b + a b - a b - a )cosh(x) - a b + a b + a b - a +--R Type: Expression Integer +--E 293 + +--S 294 of 518 +d0955:= D(m0955,x) +--R +--R +--R (283) +--R 2 2 2 4 +--R ((b + 2a b + a )x - b - a b)sinh(x) +--R + +--R 2 2 2 3 +--R ((4b + 8a b + 4a )x - 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (((6b + 12a b + 6a )x - 6b - 6a b)cosh(x) + (2b + 2a )x - 2a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 2 3 +--R ((4b + 8a b + 4a )x - 4b - 4a b)cosh(x) +--R + +--R 2 2 +--R ((4b + 4a )x - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 2 4 +--R ((b + 2a b + a )x - b - a b)cosh(x) +--R + +--R 2 2 2 2 2 2 +--R ((2b + 2a )x - 2a b)cosh(x) + (b - 2a b + a )x + b - a b +--R * +--R 2 +--R tanh(x) +--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 2 +--R ((6b - 6a )cosh(x) + 8a b x - 2b - 2a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((4b - 4a )cosh(x) + (16a b x - 4b - 4a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (b - a )cosh(x) + (8a b x - 2b - 2a )cosh(x) + b - a +--R * +--R tanh(x) +--R + +--R 2 2 2 4 +--R ((- b - 2a b - a )x + a b + a )sinh(x) +--R + +--R 2 2 2 3 +--R ((- 4b - 8a b - 4a )x + 4a b + 4a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (((- 6b - 12a b - 6a )x + 6a b + 6a )cosh(x) + (2b + 2a )x - 2a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 2 3 +--R ((- 4b - 8a b - 4a )x + 4a b + 4a )cosh(x) +--R + +--R 2 2 +--R ((4b + 4a )x - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 2 4 2 2 2 +--R ((- b - 2a b - a )x + a b + a )cosh(x) + ((2b + 2a )x - 2a b)cosh(x) +--R + +--R 2 2 2 +--R (- b + 2a b - a )x + a b - a +--R / +--R 4 3 2 2 4 4 3 2 2 3 +--R (b + 2a b + a b )sinh(x) + (4b + 8a b + 4a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 2 2 2 +--R ((6b + 12a b + 6a b )cosh(x) - 2b + 2a b )sinh(x) +--R + +--R 4 3 2 2 3 4 2 2 +--R ((4b + 8a b + 4a b )cosh(x) + (- 4b + 4a b )cosh(x))sinh(x) +--R + +--R 4 3 2 2 4 4 2 2 2 4 3 +--R (b + 2a b + a b )cosh(x) + (- 2b + 2a b )cosh(x) + b - 2a b +--R + +--R 2 2 +--R a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 3 4 +--R (2a b + 4a b + 2a b)sinh(x) +--R + +--R 3 2 2 3 3 +--R (8a b + 16a b + 8a b)cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 3 2 +--R ((12a b + 24a b + 12a b)cosh(x) - 4a b + 4a b)sinh(x) +--R + +--R 3 2 2 3 3 3 3 +--R ((8a b + 16a b + 8a b)cosh(x) + (- 8a b + 8a b)cosh(x))sinh(x) +--R + +--R 3 2 2 3 4 3 3 2 3 +--R (2a b + 4a b + 2a b)cosh(x) + (- 4a b + 4a b)cosh(x) + 2a b +--R + +--R 2 2 3 +--R - 4a b + 2a b +--R * +--R tanh(x) +--R + +--R 2 2 3 4 4 2 2 3 4 3 +--R (a b + 2a b + a )sinh(x) + (4a b + 8a b + 4a )cosh(x)sinh(x) +--R + +--R 2 2 3 4 2 2 2 4 2 +--R ((6a b + 12a b + 6a )cosh(x) - 2a b + 2a )sinh(x) +--R + +--R 2 2 3 4 3 2 2 4 +--R ((4a b + 8a b + 4a )cosh(x) + (- 4a b + 4a )cosh(x))sinh(x) +--R + +--R 2 2 3 4 4 2 2 4 2 2 2 3 4 +--R (a b + 2a b + a )cosh(x) + (- 2a b + 2a )cosh(x) + a b - 2a b + a +--R Type: Expression Integer +--E 294 + +--S 295 of 518 +t0956:= x*csch(x)^2/(a+b*coth(x))^2 +--R +--R +--R 2 +--R x csch(x) +--R (284) ------------------------------ +--R 2 2 2 +--R b coth(x) + 2a b coth(x) + a +--R Type: Expression Integer +--E 295 + +--S 296 of 518 +r0956:= -a*x/b/(a^2-b^2)+x/b/(a+b*coth(x))+log(b*cosh(x)+a*sinh(x))/(a^2-b^2) +--R +--R +--R (- b coth(x) - a)log(a sinh(x) + b cosh(x)) + a x coth(x) + b x +--R (285) --------------------------------------------------------------- +--R 3 2 2 3 +--R (b - a b)coth(x) + a b - a +--R Type: Expression Integer +--E 296 + +--S 297 of 518 +a0956:= integrate(t0956,x) +--R +--R +--R (286) +--R 2 2 +--R (- b - a)sinh(x) + (- 2b - 2a)cosh(x)sinh(x) + (- b - a)cosh(x) - b +--R + +--R a +--R * +--R - 2a sinh(x) - 2b cosh(x) +--R log(-------------------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 +--R (2b + 2a)x sinh(x) + (4b + 4a)x cosh(x)sinh(x) + (2b + 2a)x cosh(x) +--R / +--R 3 2 2 3 2 3 2 2 3 +--R (b + a b - a b - a )sinh(x) + (2b + 2a b - 2a b - 2a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + a b - a b - a )cosh(x) + b - a b - a b + a +--R Type: Union(Expression Integer,...) +--E 297 + +--S 298 of 518 +m0956:= a0956-r0956 +--R +--R +--R (287) +--R 2 2 2 +--R ((b + a b)coth(x) + a b + a )sinh(x) +--R + +--R 2 2 +--R ((2b + 2a b)cosh(x)coth(x) + (2a b + 2a )cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((b + a b)cosh(x) + b - a b)coth(x) + (a b + a )cosh(x) + a b - a +--R * +--R log(a sinh(x) + b cosh(x)) +--R + +--R 2 2 2 +--R ((- b - a b)coth(x) - a b - a )sinh(x) +--R + +--R 2 2 +--R ((- 2b - 2a b)cosh(x)coth(x) + (- 2a b - 2a )cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- b - a b)cosh(x) - b + a b)coth(x) + (- a b - a )cosh(x) - a b +--R + +--R 2 +--R a +--R * +--R - 2a sinh(x) - 2b cosh(x) +--R log(-------------------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 2 2 2 +--R ((2b + a b - a )x coth(x) + (- b + a b + 2a )x)sinh(x) +--R + +--R 2 2 2 2 +--R ((4b + 2a b - 2a )x cosh(x)coth(x) + (- 2b + 2a b + 4a )x cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 2 2 2 +--R ((2b + a b - a )x cosh(x) + (- a b + a )x)coth(x) +--R + +--R 2 2 2 2 +--R (- b + a b + 2a )x cosh(x) + (- b + a b)x +--R / +--R 4 3 2 2 3 3 2 2 3 4 2 +--R ((b + a b - a b - a b)coth(x) + a b + a b - a b - a )sinh(x) +--R + +--R 4 3 2 2 3 +--R (2b + 2a b - 2a b - 2a b)cosh(x)coth(x) +--R + +--R 3 2 2 3 4 +--R (2a b + 2a b - 2a b - 2a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 3 +--R ((b + a b - a b - a b)cosh(x) + b - a b - a b + a b)coth(x) +--R + +--R 3 2 2 3 4 2 3 2 2 3 4 +--R (a b + a b - a b - a )cosh(x) + a b - a b - a b + a +--R Type: Expression Integer +--E 298 + +--S 299 of 518 +d0956:= D(m0956,x) +--R +--R +--R (288) +--R 2 2 2 2 2 2 +--R ((- b - 2a b - a )x + b + a b)coth(x) + (- b + a )coth(x) +--R + +--R 2 2 2 +--R (b + 2a b + a )x - a b - a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 2 2 +--R ((- 4b - 8a b - 4a )x + 4b + 4a b)cosh(x)coth(x) +--R + +--R 2 2 2 2 2 +--R (- 4b + 4a )cosh(x)coth(x) + ((4b + 8a b + 4a )x - 4a b - 4a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 6b - 12a b - 6a )x + 6b + 6a b)cosh(x) + (2b + 2a )x +--R + +--R - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b + 6a )cosh(x) + 8a b x - 2b - 2a )coth(x) +--R + +--R 2 2 2 2 2 2 +--R ((6b + 12a b + 6a )x - 6a b - 6a )cosh(x) + (2b + 2a )x - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 2 3 +--R ((- 4b - 8a b - 4a )x + 4b + 4a b)cosh(x) +--R + +--R 2 2 +--R ((4b + 4a )x - 4a b)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 3 2 2 +--R ((- 4b + 4a )cosh(x) + (16a b x - 4b - 4a )cosh(x))coth(x) +--R + +--R 2 2 2 3 +--R ((4b + 8a b + 4a )x - 4a b - 4a )cosh(x) +--R + +--R 2 2 +--R ((4b + 4a )x - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 2 4 +--R ((- b - 2a b - a )x + b + a b)cosh(x) +--R + +--R 2 2 2 2 2 2 +--R ((2b + 2a )x - 2a b)cosh(x) + (- b + 2a b - a )x - b + a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R ((- b + a )cosh(x) + (8a b x - 2b - 2a )cosh(x) - b + a )coth(x) +--R + +--R 2 2 2 4 2 2 2 +--R ((b + 2a b + a )x - a b - a )cosh(x) + ((2b + 2a )x - 2a b)cosh(x) +--R + +--R 2 2 2 +--R (b - 2a b + a )x - a b + a +--R / +--R 4 3 2 2 2 3 2 2 3 2 2 +--R (b + 2a b + a b )coth(x) + (2a b + 4a b + 2a b)coth(x) + a b +--R + +--R 3 4 +--R 2a b + a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 2 +--R (4b + 8a b + 4a b )cosh(x)coth(x) +--R + +--R 3 2 2 3 2 2 3 4 +--R (8a b + 16a b + 8a b)cosh(x)coth(x) + (4a b + 8a b + 4a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 2 4 2 2 2 +--R ((6b + 12a b + 6a b )cosh(x) + 2b - 2a b )coth(x) +--R + +--R 3 2 2 3 2 3 3 +--R ((12a b + 24a b + 12a b)cosh(x) + 4a b - 4a b)coth(x) +--R + +--R 2 2 3 4 2 2 2 4 +--R (6a b + 12a b + 6a )cosh(x) + 2a b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 3 4 2 2 2 +--R ((4b + 8a b + 4a b )cosh(x) + (4b - 4a b )cosh(x))coth(x) +--R + +--R 3 2 2 3 3 3 3 +--R ((8a b + 16a b + 8a b)cosh(x) + (8a b - 8a b)cosh(x))coth(x) +--R + +--R 2 2 3 4 3 2 2 4 +--R (4a b + 8a b + 4a )cosh(x) + (4a b - 4a )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 4 4 2 2 2 4 3 +--R (b + 2a b + a b )cosh(x) + (2b - 2a b )cosh(x) + b - 2a b +--R + +--R 2 2 +--R a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 2 3 4 3 3 2 3 +--R (2a b + 4a b + 2a b)cosh(x) + (4a b - 4a b)cosh(x) + 2a b +--R + +--R 2 2 3 +--R - 4a b + 2a b +--R * +--R coth(x) +--R + +--R 2 2 3 4 4 2 2 4 2 2 2 3 4 +--R (a b + 2a b + a )cosh(x) + (2a b - 2a )cosh(x) + a b - 2a b + a +--R Type: Expression Integer +--E 299 + +--S 300 of 518 +t0957:= (a+b*sech(x))/(c+d*cosh(x)) +--R +--R +--R b sech(x) + a +--R (289) ------------- +--R d cosh(x) + c +--R Type: Expression Integer +--E 300 + +--S 301 of 518 +r0957:= b*atan(sinh(x))/c+2*(a*c-b*d)*atanh((c-d)*tanh(1/2*x)/_ + (c^2-d^2)^(1/2))/c/(c^2-d^2)^(1/2) +--R +--R +--R x +--R (d - c)tanh(-) +---------+ +--R 2 | 2 2 +--R (2b d - 2a c)atanh(--------------) + b\|- d + c atan(sinh(x)) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R (290) --------------------------------------------------------------- +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R Type: Expression Integer +--E 301 + +--S 302 of 518 +a0957:= integrate(t0957,x) +--R +--R +--R (291) +--R [ +--R (b d - a c) +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) - d + 2c +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R 3 2 3 2 2 3 +--R (- 2d + 2c d)sinh(x) + (- 2d + 2c d)cosh(x) - 2c d + 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) +--R + +--R 2c cosh(x) + d +--R + +--R +---------+ +--R | 2 2 +--R 2b\|- d + c atan(sinh(x) + cosh(x)) +--R / +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R , +--R +--R +-------+ +--R | 2 2 +--R (d sinh(x) + d cosh(x) + c)\|d - c +--R (- 2b d + 2a c)atan(-------------------------------------) +--R 2 2 +--R d - c +--R + +--R +-------+ +--R | 2 2 +--R 2b\|d - c atan(sinh(x) + cosh(x)) +--R / +--R +-------+ +--R | 2 2 +--R c\|d - c +--R ] +--R Type: Union(List Expression Integer,...) +--E 302 + +--S 303 of 518 +m0957a:= a0957.1-r0957 +--R +--R +--R (292) +--R (b d - a c) +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) - d + 2c +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R 3 2 3 2 2 3 +--R (- 2d + 2c d)sinh(x) + (- 2d + 2c d)cosh(x) - 2c d + 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) + 2c cosh(x) +--R + +--R d +--R + +--R x +--R (d - c)tanh(-) +--R 2 +--R (- 2b d + 2a c)atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +---------+ +--R | 2 2 | 2 2 +--R 2b\|- d + c atan(sinh(x) + cosh(x)) - b\|- d + c atan(sinh(x)) +--R / +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R Type: Expression Integer +--E 303 + +--S 304 of 518 +d0957a:= D(m0957a,x) +--R +--R +--R (293) +--R 2 6 +--R (- b d + a c d)sinh(x) +--R + +--R 2 5 +--R ((- 4b d + 4a c d)cosh(x) + (- 2b + 2a)c d)sinh(x) +--R + +--R 2 2 2 +--R (- 6b d + 6a c d)cosh(x) + (- b d + (- 5b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R - 3b d + (4b + 3a)c d - 4b c +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (- 4b d + 4a c d)cosh(x) + (- 4b d + (- 2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (- 8b d + (6b + 8a)c d - 6b c )cosh(x) + (- 4b + 4a)c d +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 +--R (- b d + a c d)cosh(x) + (- 6b d + (4b + 2a)c d)cosh(x) +--R + +--R 2 2 2 +--R (- 8b d + (- 2b + 8a)c d + 2b c )cosh(x) +--R + +--R 2 2 2 +--R (- 2b d + (- 6b + 8a)c d)cosh(x) - 3b d + (4b + 3a)c d - 4b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 +--R (- 4b d + 4b c d)cosh(x) +--R + +--R 2 2 3 +--R (- 4b d + (- 6b + 4a)c d + 6b c )cosh(x) +--R + +--R 2 2 +--R (- 4b d + (- 2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (- 4b d + (6b + 4a)c d - 6b c )cosh(x) + (- 2b + 2a)c d +--R * +--R sinh(x) +--R + +--R 2 5 2 2 4 +--R (- b d + b c d)cosh(x) + (- b d + (- 2b + a)c d + 2b c )cosh(x) +--R + +--R 2 3 2 2 2 +--R (- 2b d + 2a c d)cosh(x) + (- 2b d + (2b + 2a)c d - 2b c )cosh(x) +--R + +--R 2 2 +--R (- b d + (- b + 2a)c d)cosh(x) - b d + a c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 6 2 5 +--R (b d - a c d)sinh(x) + ((4b d - 4a c d)cosh(x) + (2b + 2a)c d)sinh(x) +--R + +--R 2 2 2 2 +--R (6b d - 6a c d)cosh(x) + (- b d + (5b + 6a)c d)cosh(x) + 3b d +--R + +--R 2 +--R (4b - 3a)c d + 4b c +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (4b d - 4a c d)cosh(x) + (- 4b d + (2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (8b d + (6b - 8a)c d + 6b c )cosh(x) + (4b + 4a)c d +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 +--R (b d - a c d)cosh(x) + (- 6b d + (- 4b + 2a)c d)cosh(x) +--R + +--R 2 2 2 +--R (8b d + (- 2b - 8a)c d - 2b c )cosh(x) +--R + +--R 2 2 2 +--R (- 2b d + (6b + 8a)c d)cosh(x) + 3b d + (4b - 3a)c d + 4b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 2 3 +--R (- 4b d - 4b c d)cosh(x) + (4b d + (- 6b - 4a)c d - 6b c )cosh(x) +--R + +--R 2 2 +--R (- 4b d + (2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (4b d + (6b - 4a)c d + 6b c )cosh(x) + (2b + 2a)c d +--R * +--R sinh(x) +--R + +--R 2 5 2 2 4 +--R (- b d - b c d)cosh(x) + (b d + (- 2b - a)c d - 2b c )cosh(x) +--R + +--R 2 3 2 2 2 +--R (- 2b d + 2a c d)cosh(x) + (2b d + (2b - 2a)c d + 2b c )cosh(x) +--R + +--R 2 2 +--R (- b d + (b + 2a)c d)cosh(x) + b d - a c d +--R / +--R 2 2 6 2 2 2 3 5 +--R (c d - c d)sinh(x) + ((4c d - 4c d)cosh(x) + 2c d - 2c )sinh(x) +--R + +--R 2 2 2 2 3 2 2 4 +--R ((6c d - 6c d)cosh(x) + (6c d - 6c )cosh(x) + 3c d - 3c d)sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (4c d - 4c d)cosh(x) + (6c d - 6c )cosh(x) +--R + +--R 2 2 2 3 +--R (8c d - 8c d)cosh(x) + 4c d - 4c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (8c d - 8c d)cosh(x) + (8c d - 8c )cosh(x) + 3c d - 3c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (4c d - 4c d)cosh(x) + (6c d - 6c )cosh(x) +--R + +--R 2 2 2 3 +--R (4c d - 4c d)cosh(x) + 2c d - 2c +--R * +--R sinh(x) +--R + +--R 2 2 4 2 3 3 2 2 2 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) + (2c d - 2c d)cosh(x) +--R + +--R 2 3 2 2 +--R (2c d - 2c )cosh(x) + c d - c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 6 2 2 2 3 5 +--R (c d + c d)sinh(x) + ((4c d + 4c d)cosh(x) + 2c d + 2c )sinh(x) +--R + +--R 2 2 2 2 3 2 2 4 +--R ((6c d + 6c d)cosh(x) + (6c d + 6c )cosh(x) + 3c d + 3c d)sinh(x) +--R + +--R 2 2 3 2 3 2 2 2 +--R (4c d + 4c d)cosh(x) + (6c d + 6c )cosh(x) + (8c d + 8c d)cosh(x) +--R + +--R 2 3 +--R 4c d + 4c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 2 2 2 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) + (8c d + 8c d)cosh(x) +--R + +--R 2 3 2 2 +--R (8c d + 8c )cosh(x) + 3c d + 3c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 2 2 +--R (4c d + 4c d)cosh(x) + (6c d + 6c )cosh(x) + (4c d + 4c d)cosh(x) +--R + +--R 2 3 +--R 2c d + 2c +--R * +--R sinh(x) +--R + +--R 2 2 4 2 3 3 2 2 2 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) + (2c d + 2c d)cosh(x) +--R + +--R 2 3 2 2 +--R (2c d + 2c )cosh(x) + c d + c d +--R Type: Expression Integer +--E 304 + +--S 305 of 518 +m0957b:= a0957.2-r0957 +--R +--R +--R (294) +--R x +--R +-------+ (d - c)tanh(-) +--R | 2 2 2 +--R (- 2b d + 2a c)\|d - c atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (d sinh(x) + d cosh(x) + c)\|d - c +--R (- 2b d + 2a c)\|- d + c atan(-------------------------------------) +--R 2 2 +--R d - c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R 2b\|- d + c \|d - c atan(sinh(x) + cosh(x)) +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R - b\|- d + c \|d - c atan(sinh(x)) +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R c\|- d + c \|d - c +--R Type: Expression Integer +--E 305 + +--S 306 of 518 +d0957b:= D(m0957b,x) +--R +--R +--R (295) +--R 2 6 +--R (- b d + a c d)sinh(x) +--R + +--R 2 5 +--R ((- 4b d + 4a c d)cosh(x) + (- 2b + 2a)c d)sinh(x) +--R + +--R 2 2 2 +--R (- 6b d + 6a c d)cosh(x) + (- b d + (- 5b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R - 3b d + (4b + 3a)c d - 4b c +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (- 4b d + 4a c d)cosh(x) + (- 4b d + (- 2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (- 8b d + (6b + 8a)c d - 6b c )cosh(x) + (- 4b + 4a)c d +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 +--R (- b d + a c d)cosh(x) + (- 6b d + (4b + 2a)c d)cosh(x) +--R + +--R 2 2 2 +--R (- 8b d + (- 2b + 8a)c d + 2b c )cosh(x) +--R + +--R 2 2 2 +--R (- 2b d + (- 6b + 8a)c d)cosh(x) - 3b d + (4b + 3a)c d - 4b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 +--R (- 4b d + 4b c d)cosh(x) +--R + +--R 2 2 3 +--R (- 4b d + (- 6b + 4a)c d + 6b c )cosh(x) +--R + +--R 2 2 +--R (- 4b d + (- 2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (- 4b d + (6b + 4a)c d - 6b c )cosh(x) + (- 2b + 2a)c d +--R * +--R sinh(x) +--R + +--R 2 5 2 2 4 +--R (- b d + b c d)cosh(x) + (- b d + (- 2b + a)c d + 2b c )cosh(x) +--R + +--R 2 3 2 2 2 +--R (- 2b d + 2a c d)cosh(x) + (- 2b d + (2b + 2a)c d - 2b c )cosh(x) +--R + +--R 2 2 +--R (- b d + (- b + 2a)c d)cosh(x) - b d + a c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 6 2 5 +--R (b d - a c d)sinh(x) + ((4b d - 4a c d)cosh(x) + (2b + 2a)c d)sinh(x) +--R + +--R 2 2 2 2 +--R (6b d - 6a c d)cosh(x) + (- b d + (5b + 6a)c d)cosh(x) + 3b d +--R + +--R 2 +--R (4b - 3a)c d + 4b c +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (4b d - 4a c d)cosh(x) + (- 4b d + (2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (8b d + (6b - 8a)c d + 6b c )cosh(x) + (4b + 4a)c d +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 3 +--R (b d - a c d)cosh(x) + (- 6b d + (- 4b + 2a)c d)cosh(x) +--R + +--R 2 2 2 +--R (8b d + (- 2b - 8a)c d - 2b c )cosh(x) +--R + +--R 2 2 2 +--R (- 2b d + (6b + 8a)c d)cosh(x) + 3b d + (4b - 3a)c d + 4b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 2 3 +--R (- 4b d - 4b c d)cosh(x) + (4b d + (- 6b - 4a)c d - 6b c )cosh(x) +--R + +--R 2 2 +--R (- 4b d + (2b + 6a)c d)cosh(x) +--R + +--R 2 2 +--R (4b d + (6b - 4a)c d + 6b c )cosh(x) + (2b + 2a)c d +--R * +--R sinh(x) +--R + +--R 2 5 2 2 4 +--R (- b d - b c d)cosh(x) + (b d + (- 2b - a)c d - 2b c )cosh(x) +--R + +--R 2 3 2 2 2 +--R (- 2b d + 2a c d)cosh(x) + (2b d + (2b - 2a)c d + 2b c )cosh(x) +--R + +--R 2 2 +--R (- b d + (b + 2a)c d)cosh(x) + b d - a c d +--R / +--R 2 2 6 2 2 2 3 5 +--R (c d - c d)sinh(x) + ((4c d - 4c d)cosh(x) + 2c d - 2c )sinh(x) +--R + +--R 2 2 2 2 3 2 2 4 +--R ((6c d - 6c d)cosh(x) + (6c d - 6c )cosh(x) + 3c d - 3c d)sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (4c d - 4c d)cosh(x) + (6c d - 6c )cosh(x) +--R + +--R 2 2 2 3 +--R (8c d - 8c d)cosh(x) + 4c d - 4c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (8c d - 8c d)cosh(x) + (8c d - 8c )cosh(x) + 3c d - 3c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (4c d - 4c d)cosh(x) + (6c d - 6c )cosh(x) +--R + +--R 2 2 2 3 +--R (4c d - 4c d)cosh(x) + 2c d - 2c +--R * +--R sinh(x) +--R + +--R 2 2 4 2 3 3 2 2 2 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) + (2c d - 2c d)cosh(x) +--R + +--R 2 3 2 2 +--R (2c d - 2c )cosh(x) + c d - c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 6 2 2 2 3 5 +--R (c d + c d)sinh(x) + ((4c d + 4c d)cosh(x) + 2c d + 2c )sinh(x) +--R + +--R 2 2 2 2 3 2 2 4 +--R ((6c d + 6c d)cosh(x) + (6c d + 6c )cosh(x) + 3c d + 3c d)sinh(x) +--R + +--R 2 2 3 2 3 2 2 2 +--R (4c d + 4c d)cosh(x) + (6c d + 6c )cosh(x) + (8c d + 8c d)cosh(x) +--R + +--R 2 3 +--R 4c d + 4c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 2 2 2 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) + (8c d + 8c d)cosh(x) +--R + +--R 2 3 2 2 +--R (8c d + 8c )cosh(x) + 3c d + 3c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 2 2 +--R (4c d + 4c d)cosh(x) + (6c d + 6c )cosh(x) + (4c d + 4c d)cosh(x) +--R + +--R 2 3 +--R 2c d + 2c +--R * +--R sinh(x) +--R + +--R 2 2 4 2 3 3 2 2 2 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) + (2c d + 2c d)cosh(x) +--R + +--R 2 3 2 2 +--R (2c d + 2c )cosh(x) + c d + c d +--R Type: Expression Integer +--E 306 + +--S 307 of 518 +t0958:= (a+b*csch(x))/(c+d*sinh(x)) +--R +--R +--R b csch(x) + a +--R (296) ------------- +--R d sinh(x) + c +--R Type: Expression Integer +--E 307 + +--S 308 of 518 +r0958:= -b*acoth(cosh(x))/c-2*(a*c-b*d)*atanh((d-c*tanh(1/2*x))/_ + (d^2+c^2)^(1/2))/c/(d^2+c^2)^(1/2) +--R +--R +--R x +--R c tanh(-) - d +-------+ +--R 2 | 2 2 +--R (- 2b d + 2a c)atanh(-------------) - b\|d + c acoth(cosh(x)) +--R +-------+ +--R | 2 2 +--R \|d + c +--R (297) --------------------------------------------------------------- +--R +-------+ +--R | 2 2 +--R c\|d + c +--R Type: Expression Integer +--E 308 + +--S 309 of 518 +a0958:= integrate(t0958,x) +--R +--R +--R (298) +--R (b d - a c) +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) + d + 2c +--R * +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R 3 2 3 2 2 3 +--R (2d + 2c d)sinh(x) + (2d + 2c d)cosh(x) + 2c d + 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) + 2c cosh(x) +--R + +--R - d +--R + +--R +-------+ +--R | 2 2 +--R - b\|d + c log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R | 2 2 +--R b\|d + c log(sinh(x) + cosh(x) - 1) +--R / +--R +-------+ +--R | 2 2 +--R c\|d + c +--R Type: Union(Expression Integer,...) +--E 309 + +--S 310 of 518 +m0958:= a0958-r0958 +--R +--R +--R (299) +--R (b d - a c) +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) + d + 2c +--R * +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R 3 2 3 2 2 3 +--R (2d + 2c d)sinh(x) + (2d + 2c d)cosh(x) + 2c d + 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) + 2c cosh(x) +--R + +--R - d +--R + +--R +-------+ +--R | 2 2 +--R - b\|d + c log(sinh(x) + cosh(x) + 1) +--R + +--R x +--R +-------+ c tanh(-) - d +--R | 2 2 2 +--R b\|d + c log(sinh(x) + cosh(x) - 1) + (2b d - 2a c)atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R +-------+ +--R | 2 2 +--R b\|d + c acoth(cosh(x)) +--R / +--R +-------+ +--R | 2 2 +--R c\|d + c +--R Type: Expression Integer +--E 310 + +--S 311 of 518 +d0958:= D(m0958,x) +--R +--R +--R (300) +--R 5 +--R - b c d sinh(x) +--R + +--R 2 2 2 2 +--R ((b d - a c d)cosh(x) - 4b c d cosh(x) - b d + a c d - 2b c ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (4b d - 4a c d)cosh(x) - 4b c d cosh(x) +--R + +--R 2 2 +--R (- 4b d + 4a c d - 6b c )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 +--R (6b d - 6a c d)cosh(x) + 2b c d cosh(x) +--R + +--R 2 2 2 2 +--R (- 8b d + 8a c d - 2b c )cosh(x) - 2b c d cosh(x) + 2b d +--R + +--R 2 +--R - 2a c d - 2b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 +--R (4b d - 4a c d)cosh(x) + 5b c d cosh(x) +--R + +--R 2 2 3 2 +--R (- 8b d + 8a c d + 6b c )cosh(x) - 6b c d cosh(x) +--R + +--R 2 2 +--R (4b d - 4a c d - 6b c )cosh(x) + b c d +--R * +--R sinh(x) +--R + +--R 2 6 5 +--R (b d - a c d)cosh(x) + 2b c d cosh(x) +--R + +--R 2 2 4 3 +--R (- 3b d + 3a c d + 4b c )cosh(x) - 4b c d cosh(x) +--R + +--R 2 2 2 2 +--R (3b d - 3a c d - 4b c )cosh(x) + 2b c d cosh(x) - b d + a c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 5 2 4 +--R 2b d sinh(x) + (8b d cosh(x) + 4b c d)sinh(x) +--R + +--R 2 2 2 +--R ((12b d - 4a c d)cosh(x) + 12b c d cosh(x) - 4b d + 4a c d) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 2 +--R (8b d - 12a c d)cosh(x) + 4b c d cosh(x) +--R + +--R 2 +--R (- 8b d + 12a c d)cosh(x) + 4b c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 +--R (2b d - 12a c d)cosh(x) - 12b c d cosh(x) +--R + +--R 2 2 2 +--R (- 4b d + 16a c d)cosh(x) + 12b c d cosh(x) + 2b d - 4a c d +--R * +--R sinh(x) +--R + +--R 5 4 3 +--R - 4a c d cosh(x) - 8b c d cosh(x) + 8a c d cosh(x) +--R + +--R 2 +--R 8b c d cosh(x) - 4a c d cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 +--R b c d sinh(x) +--R + +--R 2 2 2 2 +--R ((- b d + a c d)cosh(x) + 4b c d cosh(x) + b d - a c d + 2b c ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (- 4b d + 4a c d)cosh(x) + 4b c d cosh(x) +--R + +--R 2 2 +--R (4b d - 4a c d + 6b c )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 +--R (- 6b d + 6a c d)cosh(x) - 2b c d cosh(x) +--R + +--R 2 2 2 2 +--R (8b d - 8a c d + 2b c )cosh(x) + 2b c d cosh(x) - 2b d + 2a c d +--R + +--R 2 +--R 2b c +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 +--R (- 4b d + 4a c d)cosh(x) - 5b c d cosh(x) +--R + +--R 2 2 3 2 +--R (8b d - 8a c d - 6b c )cosh(x) + 6b c d cosh(x) +--R + +--R 2 2 +--R (- 4b d + 4a c d + 6b c )cosh(x) - b c d +--R * +--R sinh(x) +--R + +--R 2 6 5 +--R (- b d + a c d)cosh(x) - 2b c d cosh(x) +--R + +--R 2 2 4 3 +--R (3b d - 3a c d - 4b c )cosh(x) + 4b c d cosh(x) +--R + +--R 2 2 2 2 +--R (- 3b d + 3a c d + 4b c )cosh(x) - 2b c d cosh(x) + b d - a c d +--R / +--R 2 2 2 4 +--R (c d cosh(x) - c d)sinh(x) +--R + +--R 2 3 3 2 2 3 3 +--R (4c d cosh(x) + 2c cosh(x) - 4c d cosh(x) - 2c )sinh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R (6c d cosh(x) + 6c cosh(x) - 8c d cosh(x) - 6c cosh(x) + 2c d) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R 4c d cosh(x) + 6c cosh(x) - 8c d cosh(x) - 8c cosh(x) +--R + +--R 2 3 +--R 4c d cosh(x) + 2c +--R * +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R c d cosh(x) + 2c cosh(x) - 3c d cosh(x) - 4c cosh(x) +--R + +--R 2 2 3 2 +--R 3c d cosh(x) + 2c cosh(x) - c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 4 +--R (- 2c d cosh(x) + 2c d )sinh(x) +--R + +--R 2 3 2 2 2 2 3 +--R (- 8c d cosh(x) - 4c d cosh(x) + 8c d cosh(x) + 4c d)sinh(x) +--R + +--R 2 4 2 3 2 2 +--R - 12c d cosh(x) - 12c d cosh(x) + 16c d cosh(x) +--R + +--R 2 2 +--R 12c d cosh(x) - 4c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R - 8c d cosh(x) - 12c d cosh(x) + 16c d cosh(x) +--R + +--R 2 2 2 2 +--R 16c d cosh(x) - 8c d cosh(x) - 4c d +--R * +--R sinh(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 2c d cosh(x) - 4c d cosh(x) + 6c d cosh(x) + 8c d cosh(x) +--R + +--R 2 2 2 2 +--R - 6c d cosh(x) - 4c d cosh(x) + 2c d +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 2 2 4 +--R (- c d cosh(x) + c d)sinh(x) +--R + +--R 2 3 3 2 2 3 3 +--R (- 4c d cosh(x) - 2c cosh(x) + 4c d cosh(x) + 2c )sinh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R (- 6c d cosh(x) - 6c cosh(x) + 8c d cosh(x) + 6c cosh(x) - 2c d) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R - 4c d cosh(x) - 6c cosh(x) + 8c d cosh(x) + 8c cosh(x) +--R + +--R 2 3 +--R - 4c d cosh(x) - 2c +--R * +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R - c d cosh(x) - 2c cosh(x) + 3c d cosh(x) + 4c cosh(x) +--R + +--R 2 2 3 2 +--R - 3c d cosh(x) - 2c cosh(x) + c d +--R Type: Expression Integer +--E 311 + +--S 312 of 518 +t0959:= (a+b*sech(x)^2)/(c+d*cosh(x)) +--R +--R +--R 2 +--R b sech(x) + a +--R (301) -------------- +--R d cosh(x) + c +--R Type: Expression Integer +--E 312 + +--S 313 of 518 +r0959:= -b*d*atan(sinh(x))/c^2+2*(a*c^2+b*d^2)*atanh((c-d)*tanh(1/2*x)/_ + (c^2-d^2)^(1/2))/c^2/(c^2-d^2)^(1/2)+b*tanh(x)/c +--R +--R +--R (302) +--R x +--R (d - c)tanh(-) +---------+ +--R 2 2 2 | 2 2 +--R (- 2b d - 2a c )atanh(--------------) - b d\|- d + c atan(sinh(x)) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +--R | 2 2 +--R b c tanh(x)\|- d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c \|- d + c +--R Type: Expression Integer +--E 313 + +--S 314 of 518 +a0959:= integrate(t0959,x) +--R +--R +--R (303) +--R [ +--R 2 2 2 2 2 +--R (b d + a c )sinh(x) + (2b d + 2a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b d + a c )cosh(x) + b d + a c +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) - d + 2c +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R 3 2 3 2 2 3 +--R (2d - 2c d)sinh(x) + (2d - 2c d)cosh(x) + 2c d - 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) +--R + +--R 2c cosh(x) + d +--R + +--R 2 2 +--R (- 2b d sinh(x) - 4b d cosh(x)sinh(x) - 2b d cosh(x) - 2b d) +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c atan(sinh(x) + cosh(x)) +--R + +--R +---------+ +--R | 2 2 +--R - 2b c\|- d + c +--R / +--R +---------+ +--R 2 2 2 2 2 2 | 2 2 +--R (c sinh(x) + 2c cosh(x)sinh(x) + c cosh(x) + c )\|- d + c +--R , +--R +--R 2 2 2 2 2 +--R (2b d + 2a c )sinh(x) + (4b d + 4a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b d + 2a c )cosh(x) + 2b d + 2a c +--R * +--R +-------+ +--R | 2 2 +--R (d sinh(x) + d cosh(x) + c)\|d - c +--R atan(-------------------------------------) +--R 2 2 +--R d - c +--R + +--R 2 2 +--R (- 2b d sinh(x) - 4b d cosh(x)sinh(x) - 2b d cosh(x) - 2b d) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c atan(sinh(x) + cosh(x)) +--R + +--R +-------+ +--R | 2 2 +--R - 2b c\|d - c +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (c sinh(x) + 2c cosh(x)sinh(x) + c cosh(x) + c )\|d - c +--R ] +--R Type: Union(List Expression Integer,...) +--E 314 + +--S 315 of 518 +m0959a:= a0959.1-r0959 +--R +--R +--R (304) +--R 2 2 2 2 2 +--R (b d + a c )sinh(x) + (2b d + 2a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b d + a c )cosh(x) + b d + a c +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) - d + 2c +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R 3 2 3 2 2 3 +--R (2d - 2c d)sinh(x) + (2d - 2c d)cosh(x) + 2c d - 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) + 2c cosh(x) +--R + +--R d +--R + +--R 2 2 2 2 2 +--R (2b d + 2a c )sinh(x) + (4b d + 4a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b d + 2a c )cosh(x) + 2b d + 2a c +--R * +--R x +--R (d - c)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R 2 2 +--R (- 2b d sinh(x) - 4b d cosh(x)sinh(x) - 2b d cosh(x) - 2b d) +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c atan(sinh(x) + cosh(x)) +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (b d sinh(x) + 2b d cosh(x)sinh(x) + b d cosh(x) + b d)\|- d + c +--R * +--R atan(sinh(x)) +--R + +--R 2 2 +--R (- b c sinh(x) - 2b c cosh(x)sinh(x) - b c cosh(x) - b c)tanh(x) +--R + +--R - 2b c +--R * +--R +---------+ +--R | 2 2 +--R \|- d + c +--R / +--R +---------+ +--R 2 2 2 2 2 2 | 2 2 +--R (c sinh(x) + 2c cosh(x)sinh(x) + c cosh(x) + c )\|- d + c +--R Type: Expression Integer +--E 315 + +--S 316 of 518 +d0959a:= D(m0959a,x) +--R +--R +--R (305) +--R 2 2 8 +--R (b c d - b c d)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((6b c d - 6b c d)cosh(x) + 2b c d - 2b c )sinh(x) +--R + +--R 2 2 2 2 3 +--R (15b c d - 15b c d)cosh(x) + (10b c d - 10b c )cosh(x) +--R + +--R 2 2 +--R 4b c d - 4b c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (20b c d - 20b c d)cosh(x) + (20b c d - 20b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d - 18b c d)cosh(x) + 6b c d - 6b c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (15b c d - 15b c d)cosh(x) + (20b c d - 20b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (33b c d - 33b c d)cosh(x) + (22b c d - 22b c )cosh(x) +--R + +--R 2 2 +--R 6b c d - 6b c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d - 6b c d)cosh(x) + (10b c d - 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (32b c d - 32b c d)cosh(x) + (32b c d - 32b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d - 18b c d)cosh(x) + 6b c d - 6b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d - b c d)cosh(x) + (2b c d - 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (18b c d - 18b c d)cosh(x) + (24b c d - 24b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (21b c d - 21b c d)cosh(x) + (14b c d - 14b c )cosh(x) +--R + +--R 2 2 +--R 4b c d - 4b c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d - 6b c d)cosh(x) + (10b c d - 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (12b c d - 12b c d)cosh(x) + (12b c d - 12b c )cosh(x) +--R + +--R 2 2 2 3 +--R (6b c d - 6b c d)cosh(x) + 2b c d - 2b c +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d - b c d)cosh(x) + (2b c d - 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (3b c d - 3b c d)cosh(x) + (4b c d - 4b c )cosh(x) +--R + +--R 2 2 2 2 3 2 +--R (3b c d - 3b c d)cosh(x) + (2b c d - 2b c )cosh(x) + b c d +--R + +--R 2 +--R - b c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 8 +--R (b c d + b c d)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((6b c d + 6b c d)cosh(x) + 2b c d + 2b c )sinh(x) +--R + +--R 2 2 2 2 3 +--R (15b c d + 15b c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 2 2 +--R 4b c d + 4b c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (20b c d + 20b c d)cosh(x) + (20b c d + 20b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d + 18b c d)cosh(x) + 6b c d + 6b c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (15b c d + 15b c d)cosh(x) + (20b c d + 20b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (33b c d + 33b c d)cosh(x) + (22b c d + 22b c )cosh(x) +--R + +--R 2 2 +--R 6b c d + 6b c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d + 6b c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (32b c d + 32b c d)cosh(x) + (32b c d + 32b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d + 18b c d)cosh(x) + 6b c d + 6b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d + b c d)cosh(x) + (2b c d + 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (18b c d + 18b c d)cosh(x) + (24b c d + 24b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (21b c d + 21b c d)cosh(x) + (14b c d + 14b c )cosh(x) +--R + +--R 2 2 +--R 4b c d + 4b c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d + 6b c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (12b c d + 12b c d)cosh(x) + (12b c d + 12b c )cosh(x) +--R + +--R 2 2 2 3 +--R (6b c d + 6b c d)cosh(x) + 2b c d + 2b c +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d + b c d)cosh(x) + (2b c d + 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (3b c d + 3b c d)cosh(x) + (4b c d + 4b c )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (3b c d + 3b c d)cosh(x) + (2b c d + 2b c )cosh(x) + b c d + b c d +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 8 +--R (b d - b c d + (b + a)c d)sinh(x) +--R + +--R 3 2 2 2 +--R (6b d - 6b c d + (6b + 6a)c d)cosh(x) + 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d + 2b c +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 +--R (15b d - 15b c d + (15b + 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (b d + 9b c d + (- 10b + 10a)c d + 10b c )cosh(x) + 4b d +--R + +--R 2 2 +--R - 4b c d + (4b + 4a)c d +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (20b d - 20b c d + (20b + 20a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d + 14b c d + (- 20b + 20a)c d + 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (18b d - 16b c d + (16b + 18a)c d)cosh(x) + 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d - 2b c +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (15b d - 15b c d + (15b + 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (15b d + 5b c d + (- 20b + 20a)c d + 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (33b d - 23b c d + (23b + 33a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d + 19b c d + (2b + 22a)c d - 2b c )cosh(x) + 6b d +--R + +--R 2 2 +--R - 6b c d + (6b + 6a)c d +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (6b d - 6b c d + (6b + 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (20b d - 10b c d + (- 10b + 10a)c d + 10b c )cosh(x) +--R + +--R 3 2 2 3 +--R (32b d - 12b c d + (12b + 32a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (12b d + 20b c d + (- 8b + 32a)c d + 8b c )cosh(x) +--R + +--R 3 2 2 2 +--R (18b d - 14b c d + (14b + 18a)c d)cosh(x) + 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d - 2b c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (b d - b c d + (b + a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (15b d - 13b c d + (- 2b + 2a)c d + 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (18b d + 2b c d + (- 2b + 18a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (18b d + 6b c d + (- 16b + 24a)c d + 16b c )cosh(x) +--R + +--R 3 2 2 2 +--R (21b d - 9b c d + (9b + 21a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d + 11b c d + (10b + 14a)c d - 10b c )cosh(x) + 4b d +--R + +--R 2 2 +--R - 4b c d + (4b + 4a)c d +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 +--R (6b d - 6b c d )cosh(x) +--R + +--R 3 2 2 5 +--R (6b d + 4b c d + (- 4b + 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (12b d - 2b c d + (- 10b + 10a)c d + 10b c )cosh(x) +--R + +--R 3 2 3 +--R (12b d + 12a c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d + 6b c d + (12b + 12a)c d - 12b c )cosh(x) +--R + +--R 3 2 2 2 +--R (6b d - 4b c d + (4b + 6a)c d)cosh(x) + 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d + 2b c +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (b d - b c d )cosh(x) + (b d + b c d + (- b + a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (3b d - b c d + (- 2b + 2a)c d + 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (3b d + b c d + (- b + 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d + b c d + (4b + 4a)c d - 4b c )cosh(x) +--R + +--R 3 2 2 2 +--R (3b d - b c d + (b + 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (b d + b c d + (- 2b + 2a)c d + 2b c )cosh(x) + b d - b c d +--R + +--R 2 +--R (b + a)c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 2 8 +--R (- b d - b c d + (- b - a)c d)sinh(x) +--R + +--R 3 2 2 2 +--R (- 6b d - 6b c d + (- 6b - 6a)c d)cosh(x) - 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d - 2b c +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 +--R (- 15b d - 15b c d + (- 15b - 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (b d - 9b c d + (- 10b + 10a)c d - 10b c )cosh(x) - 4b d - 4b c d +--R + +--R 2 +--R (- 4b - 4a)c d +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 20b d - 20b c d + (- 20b - 20a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d - 14b c d + (- 20b + 20a)c d - 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 18b d - 16b c d + (- 16b - 18a)c d)cosh(x) - 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d + 2b c +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (- 15b d - 15b c d + (- 15b - 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (15b d - 5b c d + (- 20b + 20a)c d - 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 33b d - 23b c d + (- 23b - 33a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (3b d - 19b c d + (2b + 22a)c d + 2b c )cosh(x) - 6b d - 6b c d +--R + +--R 2 +--R (- 6b - 6a)c d +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (- 6b d - 6b c d + (- 6b - 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (20b d + 10b c d + (- 10b + 10a)c d - 10b c )cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b d - 12b c d + (- 12b - 32a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (12b d - 20b c d + (- 8b + 32a)c d - 8b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 18b d - 14b c d + (- 14b - 18a)c d)cosh(x) - 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d + 2b c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (- b d - b c d + (- b - a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (15b d + 13b c d + (- 2b + 2a)c d - 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (- 18b d + 2b c d + (2b - 18a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (18b d - 6b c d + (- 16b + 24a)c d - 16b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 21b d - 9b c d + (- 9b - 21a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (3b d - 11b c d + (10b + 14a)c d + 10b c )cosh(x) - 4b d - 4b c d +--R + +--R 2 +--R (- 4b - 4a)c d +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 +--R (6b d + 6b c d )cosh(x) +--R + +--R 3 2 2 5 +--R (- 6b d + 4b c d + (4b - 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (12b d + 2b c d + (- 10b + 10a)c d - 10b c )cosh(x) +--R + +--R 3 2 3 +--R (- 12b d - 12a c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d - 6b c d + (12b + 12a)c d + 12b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 6b d - 4b c d + (- 4b - 6a)c d)cosh(x) - 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d - 2b c +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (b d + b c d )cosh(x) + (- b d + b c d + (b - a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (3b d + b c d + (- 2b + 2a)c d - 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (- 3b d + b c d + (b - 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d - b c d + (4b + 4a)c d + 4b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 3b d - b c d + (- b - 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (b d - b c d + (- 2b + 2a)c d - 2b c )cosh(x) - b d - b c d +--R + +--R 2 +--R (- b - a)c d +--R / +--R 2 2 3 8 2 2 3 3 4 7 +--R (c d - c d)sinh(x) + ((6c d - 6c d)cosh(x) + 2c d - 2c )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R ((15c d - 15c d)cosh(x) + (10c d - 10c )cosh(x) + 4c d - 4c d) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20c d - 20c d)cosh(x) + (20c d - 20c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d - 18c d)cosh(x) + 6c d - 6c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15c d - 15c d)cosh(x) + (20c d - 20c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33c d - 33c d)cosh(x) + (22c d - 22c )cosh(x) + 6c d - 6c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d - 6c d)cosh(x) + (10c d - 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32c d - 32c d)cosh(x) + (32c d - 32c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d - 18c d)cosh(x) + 6c d - 6c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18c d - 18c d)cosh(x) + (24c d - 24c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21c d - 21c d)cosh(x) + (14c d - 14c )cosh(x) + 4c d - 4c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d - 6c d)cosh(x) + (10c d - 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12c d - 12c d)cosh(x) + (12c d - 12c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6c d - 6c d)cosh(x) + 2c d - 2c +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) + (3c d - 3c d)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4c d - 4c )cosh(x) + (3c d - 3c d)cosh(x) + (2c d - 2c )cosh(x) +--R + +--R 2 2 3 +--R c d - c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 3 8 2 2 3 3 4 7 +--R (c d + c d)sinh(x) + ((6c d + 6c d)cosh(x) + 2c d + 2c )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 6 +--R ((15c d + 15c d)cosh(x) + (10c d + 10c )cosh(x) + 4c d + 4c d)sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20c d + 20c d)cosh(x) + (20c d + 20c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d + 18c d)cosh(x) + 6c d + 6c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15c d + 15c d)cosh(x) + (20c d + 20c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33c d + 33c d)cosh(x) + (22c d + 22c )cosh(x) + 6c d + 6c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d + 6c d)cosh(x) + (10c d + 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32c d + 32c d)cosh(x) + (32c d + 32c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d + 18c d)cosh(x) + 6c d + 6c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18c d + 18c d)cosh(x) + (24c d + 24c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21c d + 21c d)cosh(x) + (14c d + 14c )cosh(x) + 4c d + 4c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d + 6c d)cosh(x) + (10c d + 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12c d + 12c d)cosh(x) + (12c d + 12c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6c d + 6c d)cosh(x) + 2c d + 2c +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) + (3c d + 3c d)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4c d + 4c )cosh(x) + (3c d + 3c d)cosh(x) + (2c d + 2c )cosh(x) +--R + +--R 2 2 3 +--R c d + c d +--R Type: Expression Integer +--E 316 + +--S 317 of 518 +m0959b:= a0959.2-r0959 +--R +--R +--R (306) +--R 2 2 2 2 2 +--R (2b d + 2a c )sinh(x) + (4b d + 4a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b d + 2a c )cosh(x) + 2b d + 2a c +--R * +--R x +--R +-------+ (d - c)tanh(-) +--R | 2 2 2 +--R \|d - c atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R 2 2 2 2 2 +--R (2b d + 2a c )sinh(x) + (4b d + 4a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b d + 2a c )cosh(x) + 2b d + 2a c +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (d sinh(x) + d cosh(x) + c)\|d - c +--R \|- d + c atan(-------------------------------------) +--R 2 2 +--R d - c +--R + +--R 2 2 +--R (- 2b d sinh(x) - 4b d cosh(x)sinh(x) - 2b d cosh(x) - 2b d) +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- d + c \|d - c atan(sinh(x) + cosh(x)) +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (b d sinh(x) + 2b d cosh(x)sinh(x) + b d cosh(x) + b d)\|- d + c +--R * +--R +-------+ +--R | 2 2 +--R \|d - c atan(sinh(x)) +--R + +--R 2 2 +--R (- b c sinh(x) - 2b c cosh(x)sinh(x) - b c cosh(x) - b c)tanh(x) +--R + +--R - 2b c +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- d + c \|d - c +--R / +--R +---------+ +-------+ +--R 2 2 2 2 2 2 | 2 2 | 2 2 +--R (c sinh(x) + 2c cosh(x)sinh(x) + c cosh(x) + c )\|- d + c \|d - c +--R Type: Expression Integer +--E 317 + +--S 318 of 518 +d0959b:= D(m0959b,x) +--R +--R +--R (307) +--R 2 2 8 +--R (b c d - b c d)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((6b c d - 6b c d)cosh(x) + 2b c d - 2b c )sinh(x) +--R + +--R 2 2 2 2 3 +--R (15b c d - 15b c d)cosh(x) + (10b c d - 10b c )cosh(x) +--R + +--R 2 2 +--R 4b c d - 4b c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (20b c d - 20b c d)cosh(x) + (20b c d - 20b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d - 18b c d)cosh(x) + 6b c d - 6b c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (15b c d - 15b c d)cosh(x) + (20b c d - 20b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (33b c d - 33b c d)cosh(x) + (22b c d - 22b c )cosh(x) +--R + +--R 2 2 +--R 6b c d - 6b c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d - 6b c d)cosh(x) + (10b c d - 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (32b c d - 32b c d)cosh(x) + (32b c d - 32b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d - 18b c d)cosh(x) + 6b c d - 6b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d - b c d)cosh(x) + (2b c d - 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (18b c d - 18b c d)cosh(x) + (24b c d - 24b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (21b c d - 21b c d)cosh(x) + (14b c d - 14b c )cosh(x) +--R + +--R 2 2 +--R 4b c d - 4b c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d - 6b c d)cosh(x) + (10b c d - 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (12b c d - 12b c d)cosh(x) + (12b c d - 12b c )cosh(x) +--R + +--R 2 2 2 3 +--R (6b c d - 6b c d)cosh(x) + 2b c d - 2b c +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d - b c d)cosh(x) + (2b c d - 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (3b c d - 3b c d)cosh(x) + (4b c d - 4b c )cosh(x) +--R + +--R 2 2 2 2 3 2 +--R (3b c d - 3b c d)cosh(x) + (2b c d - 2b c )cosh(x) + b c d +--R + +--R 2 +--R - b c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 8 +--R (b c d + b c d)sinh(x) +--R + +--R 2 2 2 3 7 +--R ((6b c d + 6b c d)cosh(x) + 2b c d + 2b c )sinh(x) +--R + +--R 2 2 2 2 3 +--R (15b c d + 15b c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 2 2 +--R 4b c d + 4b c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 2 3 2 +--R (20b c d + 20b c d)cosh(x) + (20b c d + 20b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d + 18b c d)cosh(x) + 6b c d + 6b c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 4 2 3 3 +--R (15b c d + 15b c d)cosh(x) + (20b c d + 20b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (33b c d + 33b c d)cosh(x) + (22b c d + 22b c )cosh(x) +--R + +--R 2 2 +--R 6b c d + 6b c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d + 6b c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (32b c d + 32b c d)cosh(x) + (32b c d + 32b c )cosh(x) +--R + +--R 2 2 2 3 +--R (18b c d + 18b c d)cosh(x) + 6b c d + 6b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d + b c d)cosh(x) + (2b c d + 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (18b c d + 18b c d)cosh(x) + (24b c d + 24b c )cosh(x) +--R + +--R 2 2 2 2 3 +--R (21b c d + 21b c d)cosh(x) + (14b c d + 14b c )cosh(x) +--R + +--R 2 2 +--R 4b c d + 4b c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 5 2 3 4 +--R (6b c d + 6b c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 2 2 3 2 3 2 +--R (12b c d + 12b c d)cosh(x) + (12b c d + 12b c )cosh(x) +--R + +--R 2 2 2 3 +--R (6b c d + 6b c d)cosh(x) + 2b c d + 2b c +--R * +--R sinh(x) +--R + +--R 2 2 6 2 3 5 +--R (b c d + b c d)cosh(x) + (2b c d + 2b c )cosh(x) +--R + +--R 2 2 4 2 3 3 +--R (3b c d + 3b c d)cosh(x) + (4b c d + 4b c )cosh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (3b c d + 3b c d)cosh(x) + (2b c d + 2b c )cosh(x) + b c d + b c d +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 8 +--R (b d - b c d + (b + a)c d)sinh(x) +--R + +--R 3 2 2 2 +--R (6b d - 6b c d + (6b + 6a)c d)cosh(x) + 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d + 2b c +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 +--R (15b d - 15b c d + (15b + 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (b d + 9b c d + (- 10b + 10a)c d + 10b c )cosh(x) + 4b d +--R + +--R 2 2 +--R - 4b c d + (4b + 4a)c d +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (20b d - 20b c d + (20b + 20a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d + 14b c d + (- 20b + 20a)c d + 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (18b d - 16b c d + (16b + 18a)c d)cosh(x) + 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d - 2b c +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (15b d - 15b c d + (15b + 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (15b d + 5b c d + (- 20b + 20a)c d + 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (33b d - 23b c d + (23b + 33a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d + 19b c d + (2b + 22a)c d - 2b c )cosh(x) + 6b d +--R + +--R 2 2 +--R - 6b c d + (6b + 6a)c d +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (6b d - 6b c d + (6b + 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (20b d - 10b c d + (- 10b + 10a)c d + 10b c )cosh(x) +--R + +--R 3 2 2 3 +--R (32b d - 12b c d + (12b + 32a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (12b d + 20b c d + (- 8b + 32a)c d + 8b c )cosh(x) +--R + +--R 3 2 2 2 +--R (18b d - 14b c d + (14b + 18a)c d)cosh(x) + 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d - 2b c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (b d - b c d + (b + a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (15b d - 13b c d + (- 2b + 2a)c d + 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (18b d + 2b c d + (- 2b + 18a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (18b d + 6b c d + (- 16b + 24a)c d + 16b c )cosh(x) +--R + +--R 3 2 2 2 +--R (21b d - 9b c d + (9b + 21a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d + 11b c d + (10b + 14a)c d - 10b c )cosh(x) + 4b d +--R + +--R 2 2 +--R - 4b c d + (4b + 4a)c d +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 +--R (6b d - 6b c d )cosh(x) +--R + +--R 3 2 2 5 +--R (6b d + 4b c d + (- 4b + 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (12b d - 2b c d + (- 10b + 10a)c d + 10b c )cosh(x) +--R + +--R 3 2 3 +--R (12b d + 12a c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d + 6b c d + (12b + 12a)c d - 12b c )cosh(x) +--R + +--R 3 2 2 2 +--R (6b d - 4b c d + (4b + 6a)c d)cosh(x) + 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d + 2b c +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (b d - b c d )cosh(x) + (b d + b c d + (- b + a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (3b d - b c d + (- 2b + 2a)c d + 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (3b d + b c d + (- b + 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d + b c d + (4b + 4a)c d - 4b c )cosh(x) +--R + +--R 3 2 2 2 +--R (3b d - b c d + (b + 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (b d + b c d + (- 2b + 2a)c d + 2b c )cosh(x) + b d - b c d +--R + +--R 2 +--R (b + a)c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 2 2 8 +--R (- b d - b c d + (- b - a)c d)sinh(x) +--R + +--R 3 2 2 2 +--R (- 6b d - 6b c d + (- 6b - 6a)c d)cosh(x) - 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d - 2b c +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 +--R (- 15b d - 15b c d + (- 15b - 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (b d - 9b c d + (- 10b + 10a)c d - 10b c )cosh(x) - 4b d - 4b c d +--R + +--R 2 +--R (- 4b - 4a)c d +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 20b d - 20b c d + (- 20b - 20a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d - 14b c d + (- 20b + 20a)c d - 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 18b d - 16b c d + (- 16b - 18a)c d)cosh(x) - 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d + 2b c +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (- 15b d - 15b c d + (- 15b - 15a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (15b d - 5b c d + (- 20b + 20a)c d - 20b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 33b d - 23b c d + (- 23b - 33a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (3b d - 19b c d + (2b + 22a)c d + 2b c )cosh(x) - 6b d - 6b c d +--R + +--R 2 +--R (- 6b - 6a)c d +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (- 6b d - 6b c d + (- 6b - 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (20b d + 10b c d + (- 10b + 10a)c d - 10b c )cosh(x) +--R + +--R 3 2 2 3 +--R (- 32b d - 12b c d + (- 12b - 32a)c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (12b d - 20b c d + (- 8b + 32a)c d - 8b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 18b d - 14b c d + (- 14b - 18a)c d)cosh(x) - 6b c d +--R + +--R 2 3 +--R (2b + 6a)c d + 2b c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (- b d - b c d + (- b - a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (15b d + 13b c d + (- 2b + 2a)c d - 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (- 18b d + 2b c d + (2b - 18a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (18b d - 6b c d + (- 16b + 24a)c d - 16b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 21b d - 9b c d + (- 9b - 21a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (3b d - 11b c d + (10b + 14a)c d + 10b c )cosh(x) - 4b d - 4b c d +--R + +--R 2 +--R (- 4b - 4a)c d +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 6 +--R (6b d + 6b c d )cosh(x) +--R + +--R 3 2 2 5 +--R (- 6b d + 4b c d + (4b - 6a)c d)cosh(x) +--R + +--R 3 2 2 3 4 +--R (12b d + 2b c d + (- 10b + 10a)c d - 10b c )cosh(x) +--R + +--R 3 2 3 +--R (- 12b d - 12a c d)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b d - 6b c d + (12b + 12a)c d + 12b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 6b d - 4b c d + (- 4b - 6a)c d)cosh(x) - 2b c d +--R + +--R 2 3 +--R (- 2b + 2a)c d - 2b c +--R * +--R sinh(x) +--R + +--R 3 2 7 3 2 2 6 +--R (b d + b c d )cosh(x) + (- b d + b c d + (b - a)c d)cosh(x) +--R + +--R 3 2 2 3 5 +--R (3b d + b c d + (- 2b + 2a)c d - 2b c )cosh(x) +--R + +--R 3 2 2 4 +--R (- 3b d + b c d + (b - 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 +--R (3b d - b c d + (4b + 4a)c d + 4b c )cosh(x) +--R + +--R 3 2 2 2 +--R (- 3b d - b c d + (- b - 3a)c d)cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (b d - b c d + (- 2b + 2a)c d - 2b c )cosh(x) - b d - b c d +--R + +--R 2 +--R (- b - a)c d +--R / +--R 2 2 3 8 2 2 3 3 4 7 +--R (c d - c d)sinh(x) + ((6c d - 6c d)cosh(x) + 2c d - 2c )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R ((15c d - 15c d)cosh(x) + (10c d - 10c )cosh(x) + 4c d - 4c d) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20c d - 20c d)cosh(x) + (20c d - 20c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d - 18c d)cosh(x) + 6c d - 6c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15c d - 15c d)cosh(x) + (20c d - 20c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33c d - 33c d)cosh(x) + (22c d - 22c )cosh(x) + 6c d - 6c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d - 6c d)cosh(x) + (10c d - 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32c d - 32c d)cosh(x) + (32c d - 32c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d - 18c d)cosh(x) + 6c d - 6c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18c d - 18c d)cosh(x) + (24c d - 24c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21c d - 21c d)cosh(x) + (14c d - 14c )cosh(x) + 4c d - 4c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d - 6c d)cosh(x) + (10c d - 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12c d - 12c d)cosh(x) + (12c d - 12c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6c d - 6c d)cosh(x) + 2c d - 2c +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (c d - c d)cosh(x) + (2c d - 2c )cosh(x) + (3c d - 3c d)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4c d - 4c )cosh(x) + (3c d - 3c d)cosh(x) + (2c d - 2c )cosh(x) +--R + +--R 2 2 3 +--R c d - c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 3 8 2 2 3 3 4 7 +--R (c d + c d)sinh(x) + ((6c d + 6c d)cosh(x) + 2c d + 2c )sinh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 6 +--R ((15c d + 15c d)cosh(x) + (10c d + 10c )cosh(x) + 4c d + 4c d)sinh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (20c d + 20c d)cosh(x) + (20c d + 20c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d + 18c d)cosh(x) + 6c d + 6c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (15c d + 15c d)cosh(x) + (20c d + 20c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (33c d + 33c d)cosh(x) + (22c d + 22c )cosh(x) + 6c d + 6c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d + 6c d)cosh(x) + (10c d + 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (32c d + 32c d)cosh(x) + (32c d + 32c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (18c d + 18c d)cosh(x) + 6c d + 6c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) +--R + +--R 2 2 3 4 3 4 3 +--R (18c d + 18c d)cosh(x) + (24c d + 24c )cosh(x) +--R + +--R 2 2 3 2 3 4 2 2 3 +--R (21c d + 21c d)cosh(x) + (14c d + 14c )cosh(x) + 4c d + 4c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 5 3 4 4 +--R (6c d + 6c d)cosh(x) + (10c d + 10c )cosh(x) +--R + +--R 2 2 3 3 3 4 2 +--R (12c d + 12c d)cosh(x) + (12c d + 12c )cosh(x) +--R + +--R 2 2 3 3 4 +--R (6c d + 6c d)cosh(x) + 2c d + 2c +--R * +--R sinh(x) +--R + +--R 2 2 3 6 3 4 5 2 2 3 4 +--R (c d + c d)cosh(x) + (2c d + 2c )cosh(x) + (3c d + 3c d)cosh(x) +--R + +--R 3 4 3 2 2 3 2 3 4 +--R (4c d + 4c )cosh(x) + (3c d + 3c d)cosh(x) + (2c d + 2c )cosh(x) +--R + +--R 2 2 3 +--R c d + c d +--R Type: Expression Integer +--E 318 + +--S 319 of 518 +t0960:= (a+b*csch(x)^2)/(c+d*sinh(x)) +--R +--R +--R 2 +--R b csch(x) + a +--R (308) -------------- +--R d sinh(x) + c +--R Type: Expression Integer +--E 319 + +--S 320 of 518 +r0960:= b*d*acoth(cosh(x))/c^2-2*(a*c^2+b*d^2)*_ + atanh((d-c*tanh(1/2*x))/(d^2+c^2)^(1/2))/c^2/(d^2+c^2)^(1/2)-_ + b*coth(x)/c +--R +--R +--R (309) +--R x +--R c tanh(-) - d +-------+ +--R 2 2 2 | 2 2 +--R (2b d + 2a c )atanh(-------------) + b d\|d + c acoth(cosh(x)) +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R +-------+ +--R | 2 2 +--R - b c coth(x)\|d + c +--R / +--R +-------+ +--R 2 | 2 2 +--R c \|d + c +--R Type: Expression Integer +--E 320 + +--S 321 of 518 +a0960:= integrate(t0960,x) +--R +--R +--R (310) +--R 2 2 2 2 2 +--R (b d + a c )sinh(x) + (2b d + 2a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b d + a c )cosh(x) - b d - a c +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) + d + 2c +--R * +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R 3 2 3 2 2 3 +--R (- 2d - 2c d)sinh(x) + (- 2d - 2c d)cosh(x) - 2c d - 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) + 2c cosh(x) +--R + +--R - d +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (b d sinh(x) + 2b d cosh(x)sinh(x) + b d cosh(x) - b d)\|d + c +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b d sinh(x) - 2b d cosh(x)sinh(x) - b d cosh(x) + b d)\|d + c +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R +-------+ +--R | 2 2 +--R - 2b c\|d + c +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (c sinh(x) + 2c cosh(x)sinh(x) + c cosh(x) - c )\|d + c +--R Type: Union(Expression Integer,...) +--E 321 + +--S 322 of 518 +m0960:= a0960-r0960 +--R +--R +--R (311) +--R 2 2 2 2 2 +--R (b d + a c )sinh(x) + (2b d + 2a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b d + a c )cosh(x) - b d - a c +--R * +--R log +--R 2 2 2 2 2 +--R d sinh(x) + (2d cosh(x) + 2c d)sinh(x) + d cosh(x) +--R + +--R 2 2 +--R 2c d cosh(x) + d + 2c +--R * +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R 3 2 3 2 2 3 +--R (- 2d - 2c d)sinh(x) + (- 2d - 2c d)cosh(x) - 2c d - 2c +--R / +--R 2 2 +--R d sinh(x) + (2d cosh(x) + 2c)sinh(x) + d cosh(x) + 2c cosh(x) +--R + +--R - d +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (b d sinh(x) + 2b d cosh(x)sinh(x) + b d cosh(x) - b d)\|d + c +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b d sinh(x) - 2b d cosh(x)sinh(x) - b d cosh(x) + b d)\|d + c +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 2 2 2 +--R (- 2b d - 2a c )sinh(x) + (- 4b d - 4a c )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R (- 2b d - 2a c )cosh(x) + 2b d + 2a c +--R * +--R x +--R c tanh(-) - d +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|d + c +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- b d sinh(x) - 2b d cosh(x)sinh(x) - b d cosh(x) + b d)\|d + c +--R * +--R acoth(cosh(x)) +--R + +--R 2 +--R b c coth(x)sinh(x) + 2b c cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (b c cosh(x) - b c)coth(x) - 2b c +--R * +--R +-------+ +--R | 2 2 +--R \|d + c +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (c sinh(x) + 2c cosh(x)sinh(x) + c cosh(x) - c )\|d + c +--R Type: Expression Integer +--E 322 + +--S 323 of 518 +d0960:= D(m0960,x) +--R +--R +--R (312) +--R 2 7 +--R b c d sinh(x) +--R + +--R 2 2 2 2 +--R (- b c d cosh(x) + b c d)coth(x) +--R + +--R 3 2 2 2 3 2 +--R (- b d + (b - a)c d)cosh(x) + 6b c d cosh(x) + b d + (b + a)c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 +--R (- 6b c d cosh(x) - 2b c cosh(x) + 6b c d cosh(x) + 2b c ) +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 3 2 3 2 +--R (- 6b d + (6b - 6a)c d)cosh(x) + (13b c d + 2b c )cosh(x) +--R + +--R 3 2 2 3 +--R (6b d + (4b + 6a)c d)cosh(x) - b c d - 2b c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R - 15b c d cosh(x) - 10b c cosh(x) + 18b c d cosh(x) +--R + +--R 3 2 +--R 10b c cosh(x) - 3b c d +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 4 2 3 3 +--R (- 15b d + (15b - 15a)c d)cosh(x) + (10b c d + 10b c )cosh(x) +--R + +--R 3 2 2 2 3 +--R (18b d + (2b + 18a)c d)cosh(x) + (- 2b c d - 10b c )cosh(x) +--R + +--R 3 2 +--R - 3b d + (- b - 3a)c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 +--R - 20b c d cosh(x) - 20b c cosh(x) + 32b c d cosh(x) +--R + +--R 3 2 2 3 +--R 24b c cosh(x) - 12b c d cosh(x) - 4b c +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 5 +--R (- 20b d + (20b - 20a)c d)cosh(x) +--R + +--R 2 3 4 +--R (- 5b c d + 20b c )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (32b d + (- 12b + 32a)c d)cosh(x) + (6b c d - 16b c )cosh(x) +--R + +--R 3 2 2 3 +--R (- 12b d - 12a c d)cosh(x) - b c d - 4b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 +--R - 15b c d cosh(x) - 20b c cosh(x) + 33b c d cosh(x) +--R + +--R 3 3 2 2 3 2 +--R 32b c cosh(x) - 21b c d cosh(x) - 12b c cosh(x) + 3b c d +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 6 +--R (- 15b d + (15b - 15a)c d)cosh(x) +--R + +--R 2 3 5 +--R (- 14b c d + 20b c )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (33b d + (- 23b + 33a)c d)cosh(x) + (20b c d - 8b c )cosh(x) +--R + +--R 3 2 2 2 3 +--R (- 21b d + (9b - 21a)c d)cosh(x) + (- 6b c d - 12b c )cosh(x) +--R + +--R 3 2 +--R 3b d + (- b + 3a)c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 +--R - 6b c d cosh(x) - 10b c cosh(x) + 18b c d cosh(x) +--R + +--R 3 4 2 3 3 2 +--R 22b c cosh(x) - 18b c d cosh(x) - 14b c cosh(x) +--R + +--R 2 3 +--R 6b c d cosh(x) + 2b c +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 7 2 3 6 +--R (- 6b d + (6b - 6a)c d)cosh(x) + (- 9b c d + 10b c )cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (18b d + (- 16b + 18a)c d)cosh(x) + (19b c d + 2b c )cosh(x) +--R + +--R 3 2 3 +--R (- 18b d + (14b - 18a)c d)cosh(x) +--R + +--R 2 3 2 3 2 +--R (- 11b c d - 10b c )cosh(x) + (6b d + (- 4b + 6a)c d)cosh(x) +--R + +--R 2 3 +--R b c d - 2b c +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 +--R - b c d cosh(x) - 2b c cosh(x) + 4b c d cosh(x) +--R + +--R 3 5 2 4 3 3 2 2 +--R 6b c cosh(x) - 6b c d cosh(x) - 6b c cosh(x) + 4b c d cosh(x) +--R + +--R 3 2 +--R 2b c cosh(x) - b c d +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 8 2 3 7 +--R (- b d + (b - a)c d)cosh(x) + (- 2b c d + 2b c )cosh(x) +--R + +--R 3 2 6 2 3 5 +--R (4b d + (- 4b + 4a)c d)cosh(x) + (6b c d + 2b c )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 6b d + (6b - 6a)c d)cosh(x) + (- 6b c d - 2b c )cosh(x) +--R + +--R 3 2 2 2 3 3 +--R (4b d + (- 4b + 4a)c d)cosh(x) + (2b c d - 2b c )cosh(x) - b d +--R + +--R 2 +--R (b - a)c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 7 +--R - 2b d sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (2b c d cosh(x) - 2b c d )coth(x) - 2b c d cosh(x) +--R + +--R 3 2 +--R - 12b d cosh(x) - 2b c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 2 2 2 2 +--R (12b c d cosh(x) + 4b c d cosh(x) - 12b c d cosh(x) - 4b c d) +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 3 2 2 +--R - 12b c d cosh(x) + (- 30b d + (- 4b - 4a)c d)cosh(x) +--R + +--R 2 3 2 +--R - 8b c d cosh(x) + 6b d + (4b + 4a)c d +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 30b c d cosh(x) + 20b c d cosh(x) - 36b c d cosh(x) +--R + +--R 2 2 +--R - 20b c d cosh(x) + 6b c d +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 3 2 3 +--R - 30b c d cosh(x) + (- 40b d + (- 20b - 20a)c d)cosh(x) +--R + +--R 2 2 3 2 2 +--R - 4b c d cosh(x) + (24b d + (20b + 20a)c d)cosh(x) + 2b c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 40b c d cosh(x) + 40b c d cosh(x) - 64b c d cosh(x) +--R + +--R 2 2 2 2 +--R - 48b c d cosh(x) + 24b c d cosh(x) + 8b c d +--R * +--R 2 +--R coth(x) +--R + +--R 2 5 3 2 4 +--R - 40b c d cosh(x) + (- 30b d + (- 40b - 40a)c d)cosh(x) +--R + +--R 2 3 3 2 2 3 +--R 24b c d cosh(x) + (36b d + (32b + 48a)c d)cosh(x) - 6b d +--R + +--R 2 +--R (8b - 8a)c d +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 5 2 4 +--R 30b c d cosh(x) + 40b c d cosh(x) - 66b c d cosh(x) +--R + +--R 2 3 2 2 2 +--R - 64b c d cosh(x) + 42b c d cosh(x) + 24b c d cosh(x) +--R + +--R 2 +--R - 6b c d +--R * +--R 2 +--R coth(x) +--R + +--R 2 6 3 2 5 +--R - 30b c d cosh(x) + (- 12b d + (- 40b - 40a)c d)cosh(x) +--R + +--R 2 4 3 2 3 +--R 46b c d cosh(x) + (24b d + (16b + 64a)c d)cosh(x) +--R + +--R 2 2 3 2 2 +--R - 18b c d cosh(x) + (- 12b d + (24b - 24a)c d)cosh(x) + 2b c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 6 2 5 +--R 12b c d cosh(x) + 20b c d cosh(x) - 36b c d cosh(x) +--R + +--R 2 4 2 3 2 2 +--R - 44b c d cosh(x) + 36b c d cosh(x) + 28b c d cosh(x) +--R + +--R 2 2 +--R - 12b c d cosh(x) - 4b c d +--R * +--R 2 +--R coth(x) +--R + +--R 2 7 3 2 6 +--R - 12b c d cosh(x) + (- 2b d + (- 20b - 20a)c d)cosh(x) +--R + +--R 2 5 3 2 4 +--R 32b c d cosh(x) + (6b d + (- 4b + 44a)c d)cosh(x) +--R + +--R 2 3 3 2 2 +--R - 28b c d cosh(x) + (- 6b d + (20b - 28a)c d)cosh(x) +--R + +--R 2 3 2 +--R 8b c d cosh(x) + 2b d + (4b + 4a)c d +--R * +--R sinh(x) +--R + +--R 2 8 2 7 2 6 +--R 2b c d cosh(x) + 4b c d cosh(x) - 8b c d cosh(x) +--R + +--R 2 5 2 4 2 3 +--R - 12b c d cosh(x) + 12b c d cosh(x) + 12b c d cosh(x) +--R + +--R 2 2 2 2 +--R - 8b c d cosh(x) - 4b c d cosh(x) + 2b c d +--R * +--R 2 +--R coth(x) +--R + +--R 2 8 2 7 2 6 +--R - 2b c d cosh(x) + (- 4b - 4a)c d cosh(x) + 8b c d cosh(x) +--R + +--R 2 5 2 4 2 3 +--R (- 4b + 12a)c d cosh(x) - 12b c d cosh(x) + (4b - 12a)c d cosh(x) +--R + +--R 2 2 2 2 +--R 8b c d cosh(x) + (4b + 4a)c d cosh(x) - 2b c d +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 7 +--R - b c d sinh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (b c d cosh(x) - b c d)coth(x) + (b d + (- b + a)c d)cosh(x) +--R + +--R 2 3 2 +--R - 6b c d cosh(x) - b d + (- b - a)c d +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (6b c d cosh(x) + 2b c cosh(x) - 6b c d cosh(x) - 2b c )coth(x) +--R + +--R 3 2 3 2 3 2 +--R (6b d + (- 6b + 6a)c d)cosh(x) + (- 13b c d - 2b c )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b d + (- 4b - 6a)c d)cosh(x) + b c d + 2b c +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R 15b c d cosh(x) + 10b c cosh(x) - 18b c d cosh(x) +--R + +--R 3 2 +--R - 10b c cosh(x) + 3b c d +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 4 2 3 3 +--R (15b d + (- 15b + 15a)c d)cosh(x) + (- 10b c d - 10b c )cosh(x) +--R + +--R 3 2 2 2 3 +--R (- 18b d + (- 2b - 18a)c d)cosh(x) + (2b c d + 10b c )cosh(x) +--R + +--R 3 2 +--R 3b d + (b + 3a)c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 +--R 20b c d cosh(x) + 20b c cosh(x) - 32b c d cosh(x) +--R + +--R 3 2 2 3 +--R - 24b c cosh(x) + 12b c d cosh(x) + 4b c +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 5 2 3 4 +--R (20b d + (- 20b + 20a)c d)cosh(x) + (5b c d - 20b c )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 32b d + (12b - 32a)c d)cosh(x) + (- 6b c d + 16b c )cosh(x) +--R + +--R 3 2 2 3 +--R (12b d + 12a c d)cosh(x) + b c d + 4b c +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 +--R 15b c d cosh(x) + 20b c cosh(x) - 33b c d cosh(x) +--R + +--R 3 3 2 2 3 2 +--R - 32b c cosh(x) + 21b c d cosh(x) + 12b c cosh(x) - 3b c d +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 6 2 3 5 +--R (15b d + (- 15b + 15a)c d)cosh(x) + (14b c d - 20b c )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 33b d + (23b - 33a)c d)cosh(x) + (- 20b c d + 8b c )cosh(x) +--R + +--R 3 2 2 2 3 +--R (21b d + (- 9b + 21a)c d)cosh(x) + (6b c d + 12b c )cosh(x) +--R + +--R 3 2 +--R - 3b d + (b - 3a)c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 +--R 6b c d cosh(x) + 10b c cosh(x) - 18b c d cosh(x) +--R + +--R 3 4 2 3 3 2 +--R - 22b c cosh(x) + 18b c d cosh(x) + 14b c cosh(x) +--R + +--R 2 3 +--R - 6b c d cosh(x) - 2b c +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 7 2 3 6 +--R (6b d + (- 6b + 6a)c d)cosh(x) + (9b c d - 10b c )cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 18b d + (16b - 18a)c d)cosh(x) + (- 19b c d - 2b c )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (18b d + (- 14b + 18a)c d)cosh(x) + (11b c d + 10b c )cosh(x) +--R + +--R 3 2 2 3 +--R (- 6b d + (4b - 6a)c d)cosh(x) - b c d + 2b c +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R b c d cosh(x) + 2b c cosh(x) - 4b c d cosh(x) - 6b c cosh(x) +--R + +--R 2 4 3 3 2 2 3 +--R 6b c d cosh(x) + 6b c cosh(x) - 4b c d cosh(x) - 2b c cosh(x) +--R + +--R 2 +--R b c d +--R * +--R 2 +--R coth(x) +--R + +--R 3 2 8 2 3 7 +--R (b d + (- b + a)c d)cosh(x) + (2b c d - 2b c )cosh(x) +--R + +--R 3 2 6 2 3 5 +--R (- 4b d + (4b - 4a)c d)cosh(x) + (- 6b c d - 2b c )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (6b d + (- 6b + 6a)c d)cosh(x) + (6b c d + 2b c )cosh(x) +--R + +--R 3 2 2 2 3 3 +--R (- 4b d + (4b - 4a)c d)cosh(x) + (- 2b c d + 2b c )cosh(x) + b d +--R + +--R 2 +--R (- b + a)c d +--R / +--R 3 2 3 6 +--R (c d cosh(x) - c d)sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (6c d cosh(x) + 2c cosh(x) - 6c d cosh(x) - 2c )sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R 15c d cosh(x) + 10c cosh(x) - 18c d cosh(x) - 10c cosh(x) +--R + +--R 3 +--R 3c d +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 20c d cosh(x) + 20c cosh(x) - 32c d cosh(x) - 24c cosh(x) +--R + +--R 3 4 +--R 12c d cosh(x) + 4c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 15c d cosh(x) + 20c cosh(x) - 33c d cosh(x) - 32c cosh(x) +--R + +--R 3 2 4 3 +--R 21c d cosh(x) + 12c cosh(x) - 3c d +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R 6c d cosh(x) + 10c cosh(x) - 18c d cosh(x) - 22c cosh(x) +--R + +--R 3 3 4 2 3 4 +--R 18c d cosh(x) + 14c cosh(x) - 6c d cosh(x) - 2c +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R c d cosh(x) + 2c cosh(x) - 4c d cosh(x) - 6c cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R 6c d cosh(x) + 6c cosh(x) - 4c d cosh(x) - 2c cosh(x) + c d +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 2 6 +--R (- 2c d cosh(x) + 2c d )sinh(x) +--R + +--R 2 2 3 3 2 2 2 3 5 +--R (- 12c d cosh(x) - 4c d cosh(x) + 12c d cosh(x) + 4c d)sinh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 30c d cosh(x) - 20c d cosh(x) + 36c d cosh(x) +--R + +--R 3 2 2 +--R 20c d cosh(x) - 6c d +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 40c d cosh(x) - 40c d cosh(x) + 64c d cosh(x) +--R + +--R 3 2 2 2 3 +--R 48c d cosh(x) - 24c d cosh(x) - 8c d +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 30c d cosh(x) - 40c d cosh(x) + 66c d cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 64c d cosh(x) - 42c d cosh(x) - 24c d cosh(x) + 6c d +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 12c d cosh(x) - 20c d cosh(x) + 36c d cosh(x) +--R + +--R 3 4 2 2 3 3 2 2 2 +--R 44c d cosh(x) - 36c d cosh(x) - 28c d cosh(x) + 12c d cosh(x) +--R + +--R 3 +--R 4c d +--R * +--R sinh(x) +--R + +--R 2 2 8 3 7 2 2 6 3 5 +--R - 2c d cosh(x) - 4c d cosh(x) + 8c d cosh(x) + 12c d cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 3 +--R - 12c d cosh(x) - 12c d cosh(x) + 8c d cosh(x) + 4c d cosh(x) +--R + +--R 2 2 +--R - 2c d +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 3 6 +--R (- c d cosh(x) + c d)sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (- 6c d cosh(x) - 2c cosh(x) + 6c d cosh(x) + 2c )sinh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R (- 15c d cosh(x) - 10c cosh(x) + 18c d cosh(x) + 10c cosh(x) - 3c d) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 20c d cosh(x) - 20c cosh(x) + 32c d cosh(x) + 24c cosh(x) +--R + +--R 3 4 +--R - 12c d cosh(x) - 4c +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 15c d cosh(x) - 20c cosh(x) + 33c d cosh(x) + 32c cosh(x) +--R + +--R 3 2 4 3 +--R - 21c d cosh(x) - 12c cosh(x) + 3c d +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R - 6c d cosh(x) - 10c cosh(x) + 18c d cosh(x) + 22c cosh(x) +--R + +--R 3 3 4 2 3 4 +--R - 18c d cosh(x) - 14c cosh(x) + 6c d cosh(x) + 2c +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R - c d cosh(x) - 2c cosh(x) + 4c d cosh(x) + 6c cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R - 6c d cosh(x) - 6c cosh(x) + 4c d cosh(x) + 2c cosh(x) - c d +--R Type: Expression Integer +--E 323 + +--S 324 of 518 +t0961:= sinh(a+b*x)*tanh(c+b*x) +--R +--R +--R (313) sinh(b x + a)tanh(b x + c) +--R Type: Expression Integer +--E 324 + +--S 325 of 518 +r0961:= (-atan(sinh(c+b*x))*cosh(a-c)+sinh(a+b*x))/b +--R +--R +--R - cosh(c - a)atan(sinh(b x + c)) + sinh(b x + a) +--R (314) ------------------------------------------------ +--R b +--R Type: Expression Integer +--E 325 + +--S 326 of 518 +a0961:= integrate(t0961,x) +--R +--R +--R (315) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) + 2) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 2 +--R - cosh(b x + c) sinh(c - a) + 2cosh(c - a)cosh(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) + 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 326 + +--S 327 of 518 +m0961:= a0961-r0961 +--R +--R +--R (316) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) + 2) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 +--R (2cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R 2cosh(c - a)cosh(b x + c)sinh(c - a) - 2cosh(c - a) cosh(b x + c) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R (- 2cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c))sinh(b x + a) +--R + +--R 2 2 2 +--R - cosh(b x + c) sinh(c - a) + 2cosh(c - a)cosh(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) + 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 327 + +--S 328 of 518 +d0961:= D(m0961,x) +--R +--R +--R (317) +--R 2 2 6 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) +--R + +--R (8cosh(c - a)cosh(b x + c) - 2cosh(b x + a))sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R - 6cosh(b x + c) sinh(c - a) +--R + +--R 2 +--R (12cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) + 1 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 3 2 +--R 8cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) - 4cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R - 4cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) + 2)cosh(b x + c) + 4cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) - 5cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 3 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R 16cosh(c - a)cosh(b x + c) - 8cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R - cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 11cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2 +--R 8cosh(c - a)cosh(b x + a)cosh(b x + c) + cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 2 +--R 14cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R - 10cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) + 2cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) + cosh(b x + c) )sinh(c - a) +--R + +--R 4 3 +--R 4cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 3 +--R - 3cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R 5 +--R (2sinh(c - a) - 2cosh(c - a))sinh(b x + c) +--R + +--R 4 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 4)sinh(c - a) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (2cosh(b x + c) + 8cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 2)sinh(c - a) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 328 + +--S 329 of 518 +t0962:= sinh(a+b*x)*tanh(c+b*x)^2 +--R +--R +--R 2 +--R (318) sinh(b x + a)tanh(b x + c) +--R Type: Expression Integer +--E 329 + +--S 330 of 518 +r0962:= cosh(a+b*x)/b+cosh(a-c)*sech(c+b*x)/b-atan(sinh(c+b*x))*sinh(a-c)/b +--R +--R +--R (319) +--R sinh(c - a)atan(sinh(b x + c)) + cosh(c - a)sech(b x + c) + cosh(b x + a) +--R ------------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 330 + +--S 331 of 518 +a0962:= integrate(t0962,x) +--R +--R +--R (320) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) - 2) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 6cosh(b x + c)sinh(c - a) +--R + +--R - 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a) - 6)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 +--R (- 12cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (6cosh(c - a) - 6)cosh(b x + c) + 2cosh(c - a) - 2 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (2cosh(c - a) - 2)cosh(b x + c) + (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) + 8cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 3)sinh(c - a) +--R + +--R 2 +--R (12cosh(c - a)cosh(b x + c) + 6cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) - 3cosh(c - a) - 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (8cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (- 6cosh(c - a) - 6)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) - 3cosh(b x + c) )sinh(c - a) +--R + +--R 4 2 +--R (2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) )sinh(c - a) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (- 3cosh(c - a) - 3)cosh(b x + c) - 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) + 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 331 + +--S 332 of 518 +m0962:= a0962-r0962 +--R +--R +--R (321) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) - 2) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 6cosh(b x + c)sinh(c - a) +--R + +--R - 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a) - 6)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 +--R (- 12cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (6cosh(c - a) - 6)cosh(b x + c) + 2cosh(c - a) - 2 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (2cosh(c - a) - 2)cosh(b x + c) + (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 3 +--R (- 2sinh(c - a) + 2cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 2)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 2cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) +--R + +--R - 2cosh(c - a)sech(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R 2cosh(c - a) sech(b x + c) - 4cosh(c - a) cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 3)sinh(c - a) +--R + +--R - 6cosh(c - a)cosh(b x + c)sech(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R 6cosh(c - a) cosh(b x + c)sech(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) - 3cosh(c - a) - 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sech(b x + c) +--R + +--R 3 2 +--R 8cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R 12cosh(c - a)cosh(b x + c) - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (6cosh(c - a) cosh(b x + c) + 2cosh(c - a) )sech(b x + c) +--R + +--R 2 3 +--R - 4cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (- 6cosh(c - a) - 6)cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) - 3cosh(b x + c) )sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c) +--R + +--R 4 3 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (2cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c))sech(b x + c) +--R + +--R 2 4 3 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 3cosh(c - a) - 3)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) + 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 332 + +--S 333 of 518 +d0962:= D(m0962,x) +--R +--R +--R (322) +--R 2 +--R (2cosh(c - a)sech(b x + c)sinh(c - a) - 2cosh(c - a) sech(b x + c)) +--R * +--R 7 +--R sinh(b x + c) +--R + +--R 10cosh(c - a)cosh(b x + c)sech(b x + c)sinh(c - a) +--R + +--R 2 +--R - 10cosh(c - a) cosh(b x + c)sech(b x + c) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 +--R (20cosh(c - a)cosh(b x + c) + 6cosh(c - a))sech(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- 20cosh(c - a) cosh(b x + c) - 6cosh(c - a) )sech(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (20cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) cosh(b x + c) - 22cosh(c - a) cosh(b x + c)) +--R * +--R sech(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 4 2 2 +--R - 10cosh(c - a) cosh(b x + c) - 32cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) +--R * +--R sech(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R 14cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 5 2 3 +--R - 2cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 14cosh(c - a) cosh(b x + c) +--R * +--R sech(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 4 2 2 +--R - 10cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) +--R * +--R sech(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 5 2 3 +--R - 2cosh(c - a) cosh(b x + c) - 4cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sech(b x + c) +--R * +--R tanh(b x + c) +--R + +--R 2 2 8 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) + 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 7 +--R sinh(b x + c) +--R + +--R (- 10cosh(b x + c)sinh(c - a) + 10cosh(c - a)cosh(b x + c)) +--R * +--R sinh(b x + a) +--R + +--R 2 2 +--R (- 15cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (30cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 15cosh(c - a) cosh(b x + c) + cosh(c - a) + 1 +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 20cosh(b x + c) - 6)sinh(c - a) + 20cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 3 2 +--R - 20cosh(b x + c) sinh(c - a) +--R + +--R 3 +--R (40cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) + (2cosh(c - a) + 4)cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (- 20cosh(b x + c) - 22cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 20cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) - 13cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) + 16cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) + (- 3cosh(c - a) + 6)cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) - 1 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 10cosh(b x + c) - 32cosh(b x + c) - 6)sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) - 32cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 12cosh(c - a)cosh(b x + c) + 44cosh(c - a)cosh(b x + c) +--R + +--R - 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + (- 12cosh(c - a) + 4)cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 2cosh(b x + c) - 24cosh(b x + c) - 14cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R 14cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- cosh(b x + c) - 33cosh(b x + c) - cosh(b x + c) - 1) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 6 4 +--R 2cosh(c - a)cosh(b x + c) + 46cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 10cosh(c - a)cosh(b x + c) + 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + (- 13cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2 2 2 +--R (11cosh(c - a) + 4)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 10cosh(b x + c) - 12cosh(b x + c) - 2)sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 5 3 2 +--R (- 16cosh(b x + c) - 4cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 22cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + (8cosh(c - a) + 4)cosh(b x + c) +--R + +--R 2 +--R (- 2cosh(c - a) - 4)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 2cosh(b x + c) - 4cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 2 +--R (- 3cosh(b x + c) - 2cosh(b x + c) - 3cosh(b x + c) )sinh(c - a) +--R + +--R 6 2 +--R (4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + (2cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2 2 +--R (- cosh(c - a) - 2)cosh(b x + c) + 1 +--R / +--R 7 +--R (2sinh(c - a) - 2cosh(c - a))sinh(b x + c) +--R + +--R 6 +--R (10cosh(b x + c)sinh(c - a) - 10cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (20cosh(b x + c) + 6)sinh(c - a) - 20cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (20cosh(b x + c) + 22cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 20cosh(c - a)cosh(b x + c) - 22cosh(c - a)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10cosh(b x + c) + 32cosh(b x + c) + 6)sinh(c - a) +--R + +--R 4 2 +--R - 10cosh(c - a)cosh(b x + c) - 32cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (2cosh(b x + c) + 24cosh(b x + c) + 14cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R - 14cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10cosh(b x + c) + 12cosh(b x + c) + 2)sinh(c - a) +--R + +--R 4 2 +--R - 10cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2cosh(b x + c) + 4cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 333 + +--S 334 of 518 +t0963:= sinh(a+b*x)*tanh(c+b*x)^3 +--R +--R +--R 3 +--R (323) sinh(b x + a)tanh(b x + c) +--R Type: Expression Integer +--E 334 + +--S 335 of 518 +r0963:= -3/2*atan(sinh(c+b*x))*cosh(a-c)/b+sech(c+b*x)*sinh(a-c)/b+_ + sinh(a+b*x)/b+1/2*cosh(a-c)*sech(c+b*x)*tanh(c+b*x)/b +--R +--R +--R (324) +--R - 3cosh(c - a)atan(sinh(b x + c)) + cosh(c - a)sech(b x + c)tanh(b x + c) +--R + +--R 2sinh(b x + a) - 2sech(b x + c)sinh(c - a) +--R / +--R 2b +--R Type: Expression Integer +--E 335 + +--S 336 of 518 +a0963:= integrate(t0963,x) +--R +--R +--R (325) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) + 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) + 30)cosh(b x + c) + 6cosh(c - a) + 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) + 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) + 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) + 18)cosh(b x + c) + 3cosh(c - a) + 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) + 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R (3cosh(c - a) + 3)cosh(b x + c) + (6cosh(c - a) + 6)cosh(b x + c) +--R + +--R 2 +--R (3cosh(c - a) + 3)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 6 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) + 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 15cosh(b x + c) - 5)sinh(c - a) +--R + +--R 2 +--R (30cosh(c - a)cosh(b x + c) + 10cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 5cosh(c - a) + 2 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 20cosh(b x + c) - 20cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (40cosh(c - a)cosh(b x + c) + 40cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) + 8)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) - 30cosh(b x + c) - 2)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) + 60cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) + 12)cosh(b x + c) - 2cosh(c - a) + 5 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) - 20cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 12cosh(c - a)cosh(b x + c) + 40cosh(c - a)cosh(b x + c) +--R + +--R 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) + 8)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) + 10)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (- cosh(b x + c) - 5cosh(b x + c) - 2cosh(b x + c) )sinh(c - a) +--R + +--R 6 4 +--R 2cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + (- 5cosh(c - a) + 2)cosh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(c - a) + 5)cosh(b x + c) + 1 +--R / +--R 5 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (10b cosh(b x + c)sinh(c - a) - 10b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (20b cosh(b x + c) + 4b)sinh(c - a) - 20b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (20b cosh(b x + c) + 12b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 20b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10b cosh(b x + c) + 12b cosh(b x + c) + 2b)sinh(c - a) +--R + +--R 4 2 +--R - 10b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2b cosh(b x + c) + 4b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2b cosh(c - a)cosh(b x + c) - 4b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 336 + +--S 337 of 518 +m0963:= a0963-r0963 +--R +--R +--R (326) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) + 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) + 30)cosh(b x + c) + 6cosh(c - a) + 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) + 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) + 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) + 18)cosh(b x + c) + 3cosh(c - a) + 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) + 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R (3cosh(c - a) + 3)cosh(b x + c) + (6cosh(c - a) + 6)cosh(b x + c) +--R + +--R 2 +--R (3cosh(c - a) + 3)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 5 +--R (3cosh(c - a)sinh(c - a) - 3cosh(c - a) )sinh(b x + c) +--R + +--R 15cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 15cosh(c - a) cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 +--R (30cosh(c - a)cosh(b x + c) + 6cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 30cosh(c - a) cosh(b x + c) - 6cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (30cosh(c - a)cosh(b x + c) + 18cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 30cosh(c - a) cosh(b x + c) - 18cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R 15cosh(c - a)cosh(b x + c) + 18cosh(c - a)cosh(b x + c) +--R + +--R 3cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 18cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 3cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R 3cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 3cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 3cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 3cosh(c - a) cosh(b x + c) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 +--R (- cosh(c - a)sech(b x + c)sinh(c - a) + cosh(c - a) sech(b x + c)) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R - 5cosh(c - a)cosh(b x + c)sech(b x + c)sinh(c - a) +--R + +--R 2 +--R 5cosh(c - a) cosh(b x + c)sech(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 +--R (- 10cosh(c - a)cosh(b x + c) - 2cosh(c - a))sech(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (10cosh(c - a) cosh(b x + c) + 2cosh(c - a) )sech(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (- 10cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 3 2 +--R (10cosh(c - a) cosh(b x + c) + 6cosh(c - a) cosh(b x + c)) +--R * +--R sech(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R - 5cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 4 2 2 +--R 5cosh(c - a) cosh(b x + c) + 6cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) +--R * +--R sech(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R - cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 5 2 3 +--R cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) cosh(b x + c) +--R * +--R sech(b x + c) +--R * +--R tanh(b x + c) +--R + +--R 2 2 6 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R (2sech(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R (- 2cosh(c - a)sech(b x + c) + 12cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R (- 10cosh(b x + c)sinh(c - a) + 10cosh(c - a)cosh(b x + c)) +--R * +--R sinh(b x + a) +--R + +--R 2 2 +--R (10cosh(b x + c)sech(b x + c) - 15cosh(b x + c) - 5)sinh(c - a) +--R + +--R - 10cosh(c - a)cosh(b x + c)sech(b x + c) +--R + +--R 2 +--R 30cosh(c - a)cosh(b x + c) + 10cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 5cosh(c - a) + 2 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 20cosh(b x + c) - 4)sinh(c - a) + 20cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 2 3 +--R (20cosh(b x + c) + 4)sech(b x + c) - 20cosh(b x + c) +--R + +--R - 20cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 +--R (- 20cosh(c - a)cosh(b x + c) - 4cosh(c - a))sech(b x + c) +--R + +--R 3 +--R 40cosh(c - a)cosh(b x + c) + 40cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) + 8)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (- 20cosh(b x + c) - 12cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 20cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 3 +--R (20cosh(b x + c) + 12cosh(b x + c))sech(b x + c) +--R + +--R 4 2 +--R - 15cosh(b x + c) - 30cosh(b x + c) - 2 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (- 20cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) + 60cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) + 12)cosh(b x + c) - 2cosh(c - a) + 5 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 10cosh(b x + c) - 12cosh(b x + c) - 2)sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 4 2 +--R (10cosh(b x + c) + 12cosh(b x + c) + 2)sech(b x + c) +--R + +--R 5 3 +--R - 6cosh(b x + c) - 20cosh(b x + c) - 4cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R - 10cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sech(b x + c) +--R + +--R 5 3 +--R 12cosh(c - a)cosh(b x + c) + 40cosh(c - a)cosh(b x + c) +--R + +--R 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) + 8)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) + 10)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 2cosh(b x + c) - 4cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 5 3 +--R (2cosh(b x + c) + 4cosh(b x + c) + 2cosh(b x + c))sech(b x + c) +--R + +--R 6 4 2 +--R - cosh(b x + c) - 5cosh(b x + c) - 2cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c) +--R + +--R 6 4 +--R 2cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + (- 5cosh(c - a) + 2)cosh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(c - a) + 5)cosh(b x + c) + 1 +--R / +--R 5 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (10b cosh(b x + c)sinh(c - a) - 10b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (20b cosh(b x + c) + 4b)sinh(c - a) - 20b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (20b cosh(b x + c) + 12b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 20b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10b cosh(b x + c) + 12b cosh(b x + c) + 2b)sinh(c - a) +--R + +--R 4 2 +--R - 10b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2b cosh(b x + c) + 4b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2b cosh(c - a)cosh(b x + c) - 4b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 337 + +--S 338 of 518 +--d0963:= D(m0963,x) +--E 338 + +--S 339 of 518 +t0964:= sinh(a+b*x)*coth(c+b*x) +--R +--R +--R (327) coth(b x + c)sinh(b x + a) +--R Type: Expression Integer +--E 339 + +--S 340 of 518 +r0964:= (-acoth(cosh(c+b*x))*sinh(a-c)+sinh(a+b*x))/b +--R +--R +--R sinh(c - a)acoth(cosh(b x + c)) + sinh(b x + a) +--R (328) ----------------------------------------------- +--R b +--R Type: Expression Integer +--E 340 + +--S 341 of 518 +a0964:= integrate(t0964,x) +--R +--R +--R (329) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R - cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 2 +--R - cosh(b x + c) sinh(c - a) + 2cosh(c - a)cosh(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) + 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 341 + +--S 342 of 518 +m0964:= a0964-r0964 +--R +--R +--R (330) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R - cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 +--R (- 2sinh(c - a) + 2cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R (- 2cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c))sinh(b x + a) +--R + +--R 2 2 2 +--R - cosh(b x + c) sinh(c - a) + 2cosh(c - a)cosh(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) + 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 342 + +--S 343 of 518 +d0964:= D(m0964,x) +--R +--R +--R (331) +--R 2 2 +--R (- cosh(b x + c) + 3)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - cosh(c - a) cosh(b x + c) + cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) + 10cosh(b x + c))sinh(c - a) +--R + +--R 3 2 +--R 8cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R - 14cosh(c - a)cosh(b x + c) + 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R - 4cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) + 4cosh(c - a) cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 6cosh(b x + c) + 11cosh(b x + c) - 1)sinh(c - a) +--R + +--R 4 3 +--R 12cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 16cosh(c - a)cosh(b x + c) + 6cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (5cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a)cosh(b x + a)cosh(b x + c) + cosh(c - a) - 1 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 4cosh(b x + c) + 4cosh(b x + c) )sinh(c - a) +--R + +--R 5 4 +--R 8cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R - 4cosh(c - a) cosh(b x + c) +--R + +--R 4 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R + +--R 2 +--R - 8cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 6 2 2 +--R (- cosh(b x + c) + cosh(b x + c) )sinh(c - a) +--R + +--R 6 5 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R 4cosh(b x + a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 5 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 4 3 +--R cosh(b x + c) - 4cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R 2 2 +--R (2cosh(b x + c) - 2)sinh(c - a) - 2cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (6cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 6cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (6cosh(b x + c) - 8cosh(b x + c) + 2)sinh(c - a) +--R + +--R 4 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2cosh(b x + c) - 4cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 343 + +--S 344 of 518 +t0965:= sinh(a+b*x)*coth(c+b*x)^2 +--R +--R +--R 2 +--R (332) coth(b x + c) sinh(b x + a) +--R Type: Expression Integer +--E 344 + +--S 345 of 518 +r0965:= -acoth(cosh(c+b*x))*cosh(a-c)/b+cosh(a+b*x)/b-csch(c+b*x)*sinh(a-c)/b +--R +--R +--R (333) +--R - cosh(c - a)acoth(cosh(b x + c)) + csch(b x + c)sinh(c - a) + cosh(b x + a) +--R ---------------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 345 + +--S 346 of 518 +a0965:= integrate(t0965,x) +--R +--R +--R (334) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 3cosh(b x + c)sinh(c - a) - 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (3cosh(c - a) + 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (3cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (3cosh(c - a) + 3)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (cosh(b x + c) - cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (cosh(c - a) + 1)cosh(b x + c) + (- cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R - 3cosh(b x + c)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 3cosh(c - a) - 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 3cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 3cosh(c - a) - 3)cosh(b x + c) + cosh(c - a) + 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (- cosh(b x + c) + cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (- cosh(c - a) - 1)cosh(b x + c) + (cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) + 8cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) + 3)sinh(c - a) +--R + +--R 2 +--R (12cosh(c - a)cosh(b x + c) - 6cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) + 3cosh(c - a) - 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (8cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (6cosh(c - a) - 6)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) + 3cosh(b x + c) )sinh(c - a) +--R + +--R 4 2 +--R (2cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) )sinh(c - a) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (3cosh(c - a) - 3)cosh(b x + c) + 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) - 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) - 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) + 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 346 + +--S 347 of 518 +m0965:= a0965-r0965 +--R +--R +--R (335) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 3cosh(b x + c)sinh(c - a) - 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (3cosh(c - a) + 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (3cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (3cosh(c - a) + 3)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (cosh(b x + c) - cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (cosh(c - a) + 1)cosh(b x + c) + (- cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R - 3cosh(b x + c)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 3cosh(c - a) - 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 3cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 3cosh(c - a) - 3)cosh(b x + c) + cosh(c - a) + 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (- cosh(b x + c) + cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (- cosh(c - a) - 1)cosh(b x + c) + (cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 3 +--R (2cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) + 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R (- 2csch(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 2cosh(c - a)csch(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c)csch(b x + c) - 6cosh(b x + c) + 3)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)csch(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) + 3cosh(c - a) - 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 3 +--R (- 6cosh(b x + c) + 2)csch(b x + c) - 4cosh(b x + c) +--R + +--R 6cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))csch(b x + c) +--R + +--R 3 2 +--R 8cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R - 12cosh(c - a)cosh(b x + c) + 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R - 4cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (6cosh(c - a) - 6)cosh(b x + c) - 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 3 4 +--R (- 2cosh(b x + c) + 2cosh(b x + c))csch(b x + c) - cosh(b x + c) +--R + +--R 2 +--R 3cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))csch(b x + c) +--R + +--R 4 3 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a)cosh(b x + c) + 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 3 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + a)cosh(b x + c) + 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) - 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) - 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) + 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 347 + +--S 348 of 518 +d0965:= D(m0965,x) +--R +--R +--R (336) +--R 2 2 +--R (- cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - cosh(c - a) cosh(b x + c) + 3cosh(c - a) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(b x + c) + 2)sinh(c - a) + 2cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 2 3 +--R (2cosh(b x + c) - 2)coth(b x + c)csch(b x + c) - 6cosh(b x + c) +--R + +--R 6cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a))coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 3 +--R 12cosh(c - a)cosh(b x + c) - 22cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 6cosh(c - a) cosh(b x + c) + 16cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (- 10cosh(b x + c) + 10cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 10cosh(c - a)cosh(b x + c) - 10cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 3 +--R (10cosh(b x + c) - 10cosh(b x + c))coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R - 15cosh(b x + c) + 13cosh(b x + c) + 2 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (- 10cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 46cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) + (33cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) - 1 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 20cosh(b x + c) + 24cosh(b x + c) - 4)sinh(c - a) +--R + +--R 4 2 +--R 20cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 4 2 +--R (20cosh(b x + c) - 24cosh(b x + c) + 4)coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 5 3 +--R - 20cosh(b x + c) + 12cosh(b x + c) + 8cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R - 20cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 5 3 +--R 40cosh(c - a)cosh(b x + c) - 44cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 20cosh(c - a) cosh(b x + c) + (32cosh(c - a) + 4)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) - 4)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 20cosh(b x + c) + 32cosh(b x + c) - 12cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 5 3 +--R 20cosh(c - a)cosh(b x + c) - 32cosh(c - a)cosh(b x + c) +--R + +--R 12cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 5 3 +--R (20cosh(b x + c) - 32cosh(b x + c) + 12cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 6 4 2 +--R - 15cosh(b x + c) + 3cosh(b x + c) + 11cosh(b x + c) + 1 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R - 20cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R - 12cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 6 4 +--R 30cosh(c - a)cosh(b x + c) - 16cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 10cosh(c - a)cosh(b x + c) - 4cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - 15cosh(c - a) cosh(b x + c) + (13cosh(c - a) + 6)cosh(b x + c) +--R + +--R 2 2 2 +--R (- cosh(c - a) - 4)cosh(b x + c) + 3cosh(c - a) - 2 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (- 10cosh(b x + c) + 22cosh(b x + c) - 14cosh(b x + c) + 2) +--R * +--R sinh(c - a) +--R + +--R 6 4 +--R 10cosh(c - a)cosh(b x + c) - 22cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 14cosh(c - a)cosh(b x + c) - 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (10cosh(b x + c) - 22cosh(b x + c) + 14cosh(b x + c) - 2) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 7 5 3 +--R - 6cosh(b x + c) - 2cosh(b x + c) + 6cosh(b x + c) +--R + +--R 2cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 6 4 +--R - 10cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 14cosh(c - a)cosh(b x + c) + 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 7 5 +--R 12cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R + +--R 3 +--R - 8cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 7 5 +--R - 6cosh(c - a) cosh(b x + c) + 4cosh(b x + c) +--R + +--R 2 3 2 +--R 2cosh(c - a) cosh(b x + c) + (4cosh(c - a) - 4)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 7 5 3 +--R - 2cosh(b x + c) + 6cosh(b x + c) - 6cosh(b x + c) +--R + +--R 2cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 7 5 +--R 2cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 2cosh(b x + c) - 6cosh(b x + c) + 6cosh(b x + c) +--R + +--R - 2cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 8 6 4 2 +--R - cosh(b x + c) - cosh(b x + c) + cosh(b x + c) + cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 7 5 +--R - 2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 3 +--R - 6cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 8 6 +--R 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R + +--R 4 2 +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 8 2 6 +--R - cosh(c - a) cosh(b x + c) + (- cosh(c - a) + 1)cosh(b x + c) +--R + +--R 2 4 2 2 +--R (cosh(c - a) + 1)cosh(b x + c) + (cosh(c - a) - 1)cosh(b x + c) - 1 +--R / +--R 2 2 +--R (2cosh(b x + c) - 2)sinh(c - a) - 2cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (10cosh(b x + c) - 10cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 10cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (20cosh(b x + c) - 24cosh(b x + c) + 4)sinh(c - a) +--R + +--R 4 2 +--R - 20cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (20cosh(b x + c) - 32cosh(b x + c) + 12cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 20cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R - 12cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (10cosh(b x + c) - 22cosh(b x + c) + 14cosh(b x + c) - 2) +--R * +--R sinh(c - a) +--R + +--R 6 4 +--R - 10cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 14cosh(c - a)cosh(b x + c) + 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 7 5 3 +--R (2cosh(b x + c) - 6cosh(b x + c) + 6cosh(b x + c) - 2cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 7 5 +--R - 2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 3 +--R - 6cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 348 + +--S 349 of 518 +t0966:= sinh(a+b*x)*coth(c+b*x)^3 +--R +--R +--R 3 +--R (337) coth(b x + c) sinh(b x + a) +--R Type: Expression Integer +--E 349 + +--S 350 of 518 +r0966:= -cosh(a-c)*csch(c+b*x)/b-3/2*acoth(cosh(c+b*x))*sinh(a-c)/b-_ + 1/2*coth(c+b*x)*csch(c+b*x)*sinh(a-c)/b+sinh(a+b*x)/b +--R +--R +--R (338) +--R 3sinh(c - a)acoth(cosh(b x + c)) + 2sinh(b x + a) +--R + +--R coth(b x + c)csch(b x + c)sinh(c - a) - 2cosh(c - a)csch(b x + c) +--R / +--R 2b +--R Type: Expression Integer +--E 350 + +--S 351 of 518 +a0966:= integrate(t0966,x) +--R +--R +--R (339) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) - 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) - 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) + 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) - 30)cosh(b x + c) - 6cosh(c - a) + 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) - 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) - 30)cosh(b x + c) +--R + +--R 2 +--R (- 18cosh(c - a) + 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (- 18cosh(c - a) + 18)cosh(b x + c) + 3cosh(c - a) - 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) - 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (- 6cosh(c - a) + 6)cosh(b x + c) + (3cosh(c - a) - 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- 3sinh(c - a) + 6cosh(c - a)sinh(c - a) - 3cosh(c - a) + 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R - 15cosh(b x + c)sinh(c - a) +--R + +--R 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 15cosh(c - a) + 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) + 30)cosh(b x + c) + 6cosh(c - a) - 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (- 30cosh(c - a) + 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) - 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) + 18cosh(b x + c) - 3)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (- 15cosh(c - a) + 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) - 18)cosh(b x + c) - 3cosh(c - a) + 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 3cosh(b x + c) + 6cosh(b x + c) - 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (- 3cosh(c - a) + 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (6cosh(c - a) - 6)cosh(b x + c) + (- 3cosh(c - a) + 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 6 +--R (- 2sinh(c - a) + 4cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 12cosh(b x + c)sinh(c - a) + 24cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 12cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) + 10)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 20cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 30cosh(c - a) cosh(b x + c) + 10cosh(c - a) + 4 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 40cosh(b x + c) + 40cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (80cosh(c - a)cosh(b x + c) - 80cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 40cosh(c - a) cosh(b x + c) + (40cosh(c - a) + 16)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 30cosh(b x + c) + 60cosh(b x + c) - 4)sinh(c - a) +--R + +--R 4 2 +--R 60cosh(c - a)cosh(b x + c) - 120cosh(c - a)cosh(b x + c) +--R + +--R 8cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 30cosh(c - a) cosh(b x + c) + (60cosh(c - a) + 24)cosh(b x + c) +--R + +--R 2 +--R - 4cosh(c - a) - 10 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 12cosh(b x + c) + 40cosh(b x + c) - 8cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 24cosh(c - a)cosh(b x + c) - 80cosh(c - a)cosh(b x + c) +--R + +--R 16cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 12cosh(c - a) cosh(b x + c) + (40cosh(c - a) + 16)cosh(b x + c) +--R + +--R 2 +--R (- 8cosh(c - a) - 20)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (- 2cosh(b x + c) + 10cosh(b x + c) - 4cosh(b x + c) )sinh(c - a) +--R + +--R 6 4 +--R 4cosh(c - a)cosh(b x + c) - 20cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - 2cosh(c - a) cosh(b x + c) + (10cosh(c - a) + 4)cosh(b x + c) +--R + +--R 2 2 +--R (- 4cosh(c - a) - 10)cosh(b x + c) + 2 +--R / +--R 5 +--R (4b sinh(c - a) - 4b cosh(c - a))sinh(b x + c) +--R + +--R (20b cosh(b x + c)sinh(c - a) - 20b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (40b cosh(b x + c) - 8b)sinh(c - a) - 40b cosh(c - a)cosh(b x + c) +--R + +--R 8b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (40b cosh(b x + c) - 24b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 40b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (20b cosh(b x + c) - 24b cosh(b x + c) + 4b)sinh(c - a) +--R + +--R 4 2 +--R - 20b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (4b cosh(b x + c) - 8b cosh(b x + c) + 4b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 4b cosh(c - a)cosh(b x + c) + 8b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 351 + +--S 352 of 518 +m0966:= a0966-r0966 +--R +--R +--R (340) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) - 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) - 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) + 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) - 30)cosh(b x + c) - 6cosh(c - a) + 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) - 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) - 30)cosh(b x + c) +--R + +--R 2 +--R (- 18cosh(c - a) + 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (- 18cosh(c - a) + 18)cosh(b x + c) + 3cosh(c - a) - 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) - 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (- 6cosh(c - a) + 6)cosh(b x + c) + (3cosh(c - a) - 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- 3sinh(c - a) + 6cosh(c - a)sinh(c - a) - 3cosh(c - a) + 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R - 15cosh(b x + c)sinh(c - a) +--R + +--R 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 15cosh(c - a) + 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) + 30)cosh(b x + c) + 6cosh(c - a) - 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (- 30cosh(c - a) + 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) - 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) + 18cosh(b x + c) - 3)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (- 15cosh(c - a) + 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) - 18)cosh(b x + c) - 3cosh(c - a) + 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 3cosh(b x + c) + 6cosh(b x + c) - 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (- 3cosh(c - a) + 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (6cosh(c - a) - 6)cosh(b x + c) + (- 3cosh(c - a) + 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 5 +--R (- 6sinh(c - a) + 6cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 30cosh(b x + c)sinh(c - a) +--R + +--R 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 60cosh(b x + c) + 12)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 60cosh(b x + c) + 36cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 30cosh(b x + c) + 36cosh(b x + c) - 6)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) + 12cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 2 6 +--R (- 2sinh(c - a) + 4cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R (- 4sinh(c - a) + 4cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R (- 2coth(b x + c)csch(b x + c) - 12cosh(b x + c))sinh(c - a) +--R + +--R (2cosh(c - a)coth(b x + c) + 4cosh(c - a))csch(b x + c) +--R + +--R 24cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R - 4cosh(c - a) csch(b x + c) - 12cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R (- 20cosh(b x + c)sinh(c - a) + 20cosh(c - a)cosh(b x + c)) +--R * +--R sinh(b x + a) +--R + +--R 2 +--R - 10cosh(b x + c)coth(b x + c)csch(b x + c) - 30cosh(b x + c) +--R + +--R 10 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 10cosh(c - a)cosh(b x + c)coth(b x + c) +--R + +--R 20cosh(c - a)cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 2 +--R 60cosh(c - a)cosh(b x + c) - 20cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 +--R - 20cosh(c - a) cosh(b x + c)csch(b x + c) +--R + +--R 2 2 2 +--R - 30cosh(c - a) cosh(b x + c) + 10cosh(c - a) + 4 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 40cosh(b x + c) + 8)sinh(c - a) + 40cosh(c - a)cosh(b x + c) +--R + +--R - 8cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 2 +--R (- 20cosh(b x + c) + 4)coth(b x + c)csch(b x + c) +--R + +--R 3 +--R - 40cosh(b x + c) + 40cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 +--R (20cosh(c - a)cosh(b x + c) - 4cosh(c - a))coth(b x + c) +--R + +--R 2 +--R 40cosh(c - a)cosh(b x + c) - 8cosh(c - a) +--R * +--R csch(b x + c) +--R + +--R 3 +--R 80cosh(c - a)cosh(b x + c) - 80cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- 40cosh(c - a) cosh(b x + c) + 8cosh(c - a) )csch(b x + c) +--R + +--R 2 3 2 +--R - 40cosh(c - a) cosh(b x + c) + (40cosh(c - a) + 16)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (- 40cosh(b x + c) + 24cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 40cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 3 +--R (- 20cosh(b x + c) + 12cosh(b x + c))coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R - 30cosh(b x + c) + 60cosh(b x + c) - 4 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (20cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c)) +--R * +--R coth(b x + c) +--R + +--R 3 +--R 40cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 4 2 +--R 60cosh(c - a)cosh(b x + c) - 120cosh(c - a)cosh(b x + c) +--R + +--R 8cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (- 40cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c)) +--R * +--R csch(b x + c) +--R + +--R 2 4 2 2 +--R - 30cosh(c - a) cosh(b x + c) + (60cosh(c - a) + 24)cosh(b x + c) +--R + +--R 2 +--R - 4cosh(c - a) - 10 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 20cosh(b x + c) + 24cosh(b x + c) - 4)sinh(c - a) +--R + +--R 4 2 +--R 20cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 4 2 +--R (- 10cosh(b x + c) + 12cosh(b x + c) - 2)coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 5 3 +--R - 12cosh(b x + c) + 40cosh(b x + c) - 8cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R coth(b x + c) +--R + +--R 4 2 +--R 20cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R csch(b x + c) +--R + +--R 5 3 +--R 24cosh(c - a)cosh(b x + c) - 80cosh(c - a)cosh(b x + c) +--R + +--R 16cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 20cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 4cosh(c - a) +--R * +--R csch(b x + c) +--R + +--R 2 5 2 3 +--R - 12cosh(c - a) cosh(b x + c) + (40cosh(c - a) + 16)cosh(b x + c) +--R + +--R 2 +--R (- 8cosh(c - a) - 20)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 4cosh(b x + c) + 8cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 5 3 +--R (- 2cosh(b x + c) + 4cosh(b x + c) - 2cosh(b x + c))coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 6 4 2 +--R - 2cosh(b x + c) + 10cosh(b x + c) - 4cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c) +--R + +--R 5 3 +--R 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a)cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 6 4 +--R 4cosh(c - a)cosh(b x + c) - 20cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 4cosh(c - a) cosh(b x + c) + 8cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 2 6 2 4 +--R - 2cosh(c - a) cosh(b x + c) + (10cosh(c - a) + 4)cosh(b x + c) +--R + +--R 2 2 +--R (- 4cosh(c - a) - 10)cosh(b x + c) + 2 +--R / +--R 5 +--R (4b sinh(c - a) - 4b cosh(c - a))sinh(b x + c) +--R + +--R (20b cosh(b x + c)sinh(c - a) - 20b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (40b cosh(b x + c) - 8b)sinh(c - a) - 40b cosh(c - a)cosh(b x + c) +--R + +--R 8b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (40b cosh(b x + c) - 24b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 40b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (20b cosh(b x + c) - 24b cosh(b x + c) + 4b)sinh(c - a) +--R + +--R 4 2 +--R - 20b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (4b cosh(b x + c) - 8b cosh(b x + c) + 4b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 4b cosh(c - a)cosh(b x + c) + 8b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 352 + +--S 353 of 518 +--d0966:= D(m0966,x) +--E 353 + +--S 354 of 518 +t0967:= sinh(a+b*x)*sech(c+b*x) +--R +--R +--R (341) sech(b x + c)sinh(b x + a) +--R Type: Expression Integer +--E 354 + +--S 355 of 518 +r0967:= cosh(a-c)*log(cosh(c+b*x))/b+x*sinh(a-c) +--R +--R +--R cosh(c - a)log(cosh(b x + c)) - b x sinh(c - a) +--R (342) ----------------------------------------------- +--R b +--R Type: Expression Integer +--E 355 + +--S 356 of 518 +a0967:= integrate(t0967,x) +--R +--R +--R (343) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2cosh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 356 + +--S 357 of 518 +m0967:= a0967-r0967 +--R +--R +--R (344) +--R 2 +--R (- 2cosh(c - a)sinh(c - a) + 2cosh(c - a) )log(cosh(b x + c)) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2cosh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R 2 +--R 2b x sinh(c - a) - 2b x cosh(c - a)sinh(c - a) + 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Expression Integer +--E 357 + +--S 358 of 518 +d0967:= D(m0967,x) +--R +--R +--R (345) +--R 2 2 +--R (- sinh(c - a) + cosh(c - a) - 1)sinh(b x + c) +--R + +--R 2 2 +--R cosh(b x + c)sinh(c - a) + (- cosh(c - a) + 1)cosh(b x + c) +--R / +--R 2cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 358 + +--S 359 of 518 +t0968:= sinh(a+b*x)*sech(c+b*x)^2 +--R +--R +--R 2 +--R (346) sech(b x + c) sinh(b x + a) +--R Type: Expression Integer +--E 359 + +--S 360 of 518 +r0968:= -cosh(a-c)*sech(c+b*x)/b+atan(sinh(c+b*x))*sinh(a-c)/b +--R +--R +--R - sinh(c - a)atan(sinh(b x + c)) - cosh(c - a)sech(b x + c) +--R (347) ----------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 360 + +--S 361 of 518 +a0968:= integrate(t0968,x) +--R +--R +--R (348) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) + 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) + 1)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1)sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) + 1)cosh(b x + c) +--R / +--R 2 +--R (b sinh(c - a) - b cosh(c - a))sinh(b x + c) +--R + +--R (2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (b cosh(b x + c) + b)sinh(c - a) - b cosh(c - a)cosh(b x + c) +--R + +--R - b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 361 + +--S 362 of 518 +m0968:= a0968-r0968 +--R +--R +--R (349) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) + 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) + 1)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 +--R (sinh(c - a) - cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R (2cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a)) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a)cosh(b x + c) - cosh(c - a))sinh(c - a) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 +--R (cosh(c - a)sech(b x + c)sinh(c - a) - cosh(c - a) sech(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R sinh(c - a) +--R + +--R (2cosh(c - a)cosh(b x + c)sech(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 +--R - 2cosh(c - a) cosh(b x + c)sech(b x + c) + cosh(c - a) + 1 +--R * +--R sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a)cosh(b x + c) + cosh(c - a))sech(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) cosh(b x + c) - cosh(c - a) )sech(b x + c) +--R + +--R 2 +--R (cosh(c - a) + 1)cosh(b x + c) +--R / +--R 2 +--R (b sinh(c - a) - b cosh(c - a))sinh(b x + c) +--R + +--R (2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (b cosh(b x + c) + b)sinh(c - a) - b cosh(c - a)cosh(b x + c) +--R + +--R - b cosh(c - a) +--R Type: Expression Integer +--E 362 + +--S 363 of 518 +d0968:= D(m0968,x) +--R +--R +--R (350) +--R 2 +--R (- cosh(c - a)sech(b x + c)sinh(c - a) + cosh(c - a) sech(b x + c)) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c)sech(b x + c)sinh(c - a) +--R + +--R 2 +--R 4cosh(c - a) cosh(b x + c)sech(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) - 3cosh(c - a))sech(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (6cosh(c - a) cosh(b x + c) + 3cosh(c - a) )sech(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 3 2 +--R (4cosh(c - a) cosh(b x + c) + 8cosh(c - a) cosh(b x + c)) +--R * +--R sech(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R + +--R - 3cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 4 2 2 +--R cosh(c - a) cosh(b x + c) + 8cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 3cosh(c - a) +--R * +--R sech(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 3 2 +--R (4cosh(c - a) cosh(b x + c) + 4cosh(c - a) cosh(b x + c)) +--R * +--R sech(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R + +--R 2 4 2 2 +--R cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) +--R * +--R sech(b x + c) +--R * +--R tanh(b x + c) +--R + +--R 2 2 5 +--R (- 2sinh(c - a) + 4cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 5cosh(b x + c)sinh(c - a) + 11cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(b x + c) - 2)sinh(c - a) +--R + +--R 2 +--R (8cosh(c - a)cosh(b x + c) + 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) - 2cosh(c - a) + 2 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (4cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 2cosh(c - a) cosh(b x + c) + (- 6cosh(c - a) + 2)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (4cosh(b x + c) - 2cosh(b x + c) )sinh(c - a) +--R + +--R 4 2 +--R (- 4cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) ) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a) cosh(b x + c) + 2 +--R * +--R sinh(b x + c) +--R + +--R 5 2 +--R (cosh(b x + c) + cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(b x + c) +--R / +--R 6 +--R (sinh(c - a) - cosh(c - a))sinh(b x + c) +--R + +--R 5 +--R (4cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 3)sinh(c - a) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 3cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) + 8cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R (cosh(b x + c) + 8cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) - 3cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) + 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 +--R (cosh(b x + c) + 2cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) - cosh(c - a) +--R Type: Expression Integer +--E 363 + +--S 364 of 518 +t0969:= sinh(a+b*x)*sech(c+b*x)^3 +--R +--R +--R 3 +--R (351) sech(b x + c) sinh(b x + a) +--R Type: Expression Integer +--E 364 + +--S 365 of 518 +r0969:= -1/2*cosh(a-c)*sech(c+b*x)^2/b+sinh(a-c)*tanh(c+b*x)/b +--R +--R +--R 2 +--R - 2sinh(c - a)tanh(b x + c) - cosh(c - a)sech(b x + c) +--R (352) ------------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 365 + +--S 366 of 518 +a0969:= integrate(t0969,x) +--R +--R +--R (353) +--R 2cosh(c - a)sinh(b x + c) - 4cosh(b x + c)sinh(c - a) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R / +--R 2 2 3 +--R (b sinh(c - a) - b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (3b cosh(b x + c)sinh(c - a) - 3b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (3b cosh(b x + c) + b)sinh(c - a) - 3b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (b cosh(b x + c) + 3b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - b cosh(c - a) cosh(b x + c) - 3b cosh(c - a) cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 366 + +--S 367 of 518 +m0969:= a0969-r0969 +--R +--R +--R (354) +--R 3 2 3 +--R (2sinh(c - a) - 2cosh(c - a) sinh(c - a))sinh(b x + c) +--R + +--R 3 +--R 6cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c)sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 3 +--R (6cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 2 2 +--R (- 6cosh(c - a) cosh(b x + c) - 2cosh(c - a) )sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 3 +--R (2cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (- 2cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c))sinh(c - a) +--R * +--R tanh(b x + c) +--R + +--R 2 2 3 2 +--R (cosh(c - a)sech(b x + c) sinh(c - a) - cosh(c - a) sech(b x + c) ) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R 3cosh(c - a)cosh(b x + c)sech(b x + c) sinh(c - a) +--R + +--R 3 2 +--R - 3cosh(c - a) cosh(b x + c)sech(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 +--R (3cosh(c - a)cosh(b x + c) + cosh(c - a))sech(b x + c) sinh(c - a) +--R + +--R 3 2 3 2 +--R (- 3cosh(c - a) cosh(b x + c) - cosh(c - a) )sech(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (cosh(c - a)cosh(b x + c) + 3cosh(c - a)cosh(b x + c))sech(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R - 8cosh(b x + c)sinh(c - a) +--R + +--R 3 3 3 2 +--R (- cosh(c - a) cosh(b x + c) - 3cosh(c - a) cosh(b x + c))sech(b x + c) +--R + +--R 4cosh(c - a)cosh(b x + c) +--R / +--R 2 2 3 +--R (2b sinh(c - a) - 2b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (6b cosh(b x + c) + 2b)sinh(c - a) - 6b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2b cosh(b x + c) + 6b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 2b cosh(c - a) cosh(b x + c) - 6b cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 367 + +--S 368 of 518 +d0969:= D(m0969,x) +--R +--R +--R (355) +--R 3 2 6 +--R (- sinh(c - a) + cosh(c - a) sinh(c - a))sinh(b x + c) +--R + +--R 3 +--R - 6cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R 6cosh(c - a) cosh(b x + c)sinh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 3 +--R (- 15cosh(b x + c) - 2)sinh(c - a) +--R + +--R 2 2 2 +--R (15cosh(c - a) cosh(b x + c) + 2cosh(c - a) )sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 3 +--R (- 20cosh(b x + c) - 12cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (20cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c)) +--R * +--R sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 3 +--R (- 15cosh(b x + c) - 24cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 4 2 2 +--R 15cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) +--R * +--R sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 6cosh(b x + c) - 20cosh(b x + c) - 6cosh(b x + c)) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R 6cosh(c - a) cosh(b x + c) + 20cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 3 +--R (- cosh(b x + c) - 6cosh(b x + c) - 9cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R cosh(c - a) cosh(b x + c) + 6cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R 9cosh(c - a) cosh(b x + c) +--R * +--R sinh(c - a) +--R * +--R 2 +--R tanh(b x + c) +--R + +--R 2 2 +--R - cosh(c - a)sech(b x + c) sinh(c - a) +--R + +--R 3 2 +--R cosh(c - a) sech(b x + c) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 2 +--R - 6cosh(c - a)cosh(b x + c)sech(b x + c) sinh(c - a) +--R + +--R 3 2 +--R 6cosh(c - a) cosh(b x + c)sech(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 15cosh(c - a)cosh(b x + c) - 2cosh(c - a))sech(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 2 3 2 +--R (15cosh(c - a) cosh(b x + c) + 2cosh(c - a) )sech(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (- 20cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c)) +--R * +--R 2 2 +--R sech(b x + c) sinh(c - a) +--R + +--R 3 3 3 +--R (20cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sech(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R - 15cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R 2 2 +--R sech(b x + c) sinh(c - a) +--R + +--R 3 4 3 2 +--R 15cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R cosh(c - a) +--R * +--R 2 +--R sech(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) - 20cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R 2 2 +--R sech(b x + c) sinh(c - a) +--R + +--R 3 5 3 3 +--R 6cosh(c - a) cosh(b x + c) + 20cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sech(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 9cosh(c - a)cosh(b x + c) +--R * +--R 2 2 +--R sech(b x + c) sinh(c - a) +--R + +--R 3 6 3 4 +--R cosh(c - a) cosh(b x + c) + 6cosh(c - a) cosh(b x + c) +--R + +--R 3 2 +--R 9cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sech(b x + c) +--R * +--R tanh(b x + c) +--R + +--R 3 2 6 +--R (sinh(c - a) - cosh(c - a) sinh(c - a))sinh(b x + c) +--R + +--R 3 2 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c)sinh(c - a)) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 3 +--R (15cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 2 2 +--R (- 15cosh(c - a) cosh(b x + c) - 2cosh(c - a) - 4)sinh(c - a) +--R + +--R - 4cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 3 +--R (20cosh(b x + c) + 12cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R - 16cosh(c - a)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 3 +--R (15cosh(b x + c) + 24cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R (- 24cosh(c - a) + 24)cosh(b x + c) - cosh(c - a) - 4 +--R * +--R sinh(c - a) +--R + +--R 2 +--R - 24cosh(c - a)cosh(b x + c) - 4cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 3 +--R (6cosh(b x + c) + 20cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 5 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) + 32)cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 +--R - 16cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 3 +--R (cosh(b x + c) + 6cosh(b x + c) + 9cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + (- 6cosh(c - a) + 12)cosh(b x + c) +--R + +--R 2 2 +--R (- 9cosh(c - a) + 4)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 4 2 +--R - 4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R / +--R 2 2 6 +--R (sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 5 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 2 2 +--R (15cosh(b x + c) + 2)sinh(c - a) - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (20cosh(b x + c) + 12cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 24cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (6cosh(b x + c) + 20cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) - 20cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (cosh(b x + c) + 6cosh(b x + c) + 9cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - 9cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 368 + +--S 369 of 518 +t0970:= sinh(a+b*x)*csch(c+b*x) +--R +--R +--R (356) csch(b x + c)sinh(b x + a) +--R Type: Expression Integer +--E 369 + +--S 370 of 518 +r0970:= x*cosh(a-c)+log(sinh(c+b*x))*sinh(a-c)/b +--R +--R +--R - sinh(c - a)log(sinh(b x + c)) + b x cosh(c - a) +--R (357) ------------------------------------------------- +--R b +--R Type: Expression Integer +--E 370 + +--S 371 of 518 +a0970:= integrate(t0970,x) +--R +--R +--R (358) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2sinh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R - 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 371 + +--S 372 of 518 +m0970:= a0970-r0970 +--R +--R +--R (359) +--R 2 +--R (2sinh(c - a) - 2cosh(c - a)sinh(c - a))log(sinh(b x + c)) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2sinh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R 2 +--R - 2b x cosh(c - a)sinh(c - a) + 2b x cosh(c - a) - 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Expression Integer +--E 372 + +--S 373 of 518 +d0970:= D(m0970,x) +--R +--R +--R (360) +--R 2 2 +--R (- sinh(c - a) + cosh(c - a) - 1)sinh(b x + c) +--R + +--R 2 2 +--R cosh(b x + c)sinh(c - a) + (- cosh(c - a) + 1)cosh(b x + c) +--R / +--R (2sinh(c - a) - 2cosh(c - a))sinh(b x + c) +--R Type: Expression Integer +--E 373 + +--S 374 of 518 +t0971:= sinh(a+b*x)*csch(c+b*x)^2 +--R +--R +--R 2 +--R (361) csch(b x + c) sinh(b x + a) +--R Type: Expression Integer +--E 374 + +--S 375 of 518 +r0971:= -acoth(cosh(c+b*x))*cosh(a-c)/b-csch(c+b*x)*sinh(a-c)/b +--R +--R +--R - cosh(c - a)acoth(cosh(b x + c)) + csch(b x + c)sinh(c - a) +--R (362) ------------------------------------------------------------ +--R b +--R Type: Expression Integer +--E 375 + +--S 376 of 518 +a0971:= integrate(t0971,x) +--R +--R +--R (363) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (cosh(c - a) + 1)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) - 1)cosh(b x + c) + cosh(c - a) + 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) - 2) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) +--R / +--R 2 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (4b cosh(b x + c)sinh(c - a) - 4b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (2b cosh(b x + c) - 2b)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 376 + +--S 377 of 518 +m0971:= a0971-r0971 +--R +--R +--R (364) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (cosh(c - a) + 1)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) - 1)cosh(b x + c) + cosh(c - a) + 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 +--R (2cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R (4cosh(c - a)cosh(b x + c)sinh(c - a) - 4cosh(c - a) cosh(b x + c)) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 +--R (- 2csch(b x + c)sinh(c - a) + 2cosh(c - a)csch(b x + c)sinh(c - a)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R (- 4cosh(b x + c)csch(b x + c) + 2)sinh(c - a) +--R + +--R (4cosh(c - a)cosh(b x + c)csch(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 +--R 2cosh(c - a) - 2 +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R ((- 2cosh(b x + c) + 2)csch(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))csch(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) +--R / +--R 2 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (4b cosh(b x + c)sinh(c - a) - 4b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (2b cosh(b x + c) - 2b)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R Type: Expression Integer +--E 377 + +--S 378 of 518 +d0971:= D(m0971,x) +--R +--R +--R (365) +--R 2 5 +--R (- cosh(c - a)sinh(c - a) + cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (cosh(b x + c) - 1)coth(b x + c)csch(b x + c)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a)cosh(b x + c) + cosh(c - a))coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 +--R 4cosh(c - a) cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) - 4cosh(b x + c))coth(b x + c)csch(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c) + 2 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R (6cosh(b x + c) - 8cosh(b x + c) + 2)coth(b x + c)csch(b x + c) +--R + +--R 3 +--R - 6cosh(b x + c) + 6cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 3 +--R 8cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (4cosh(b x + c) - 8cosh(b x + c) + 4cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R - 6cosh(b x + c) + 6cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R - 4cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R 11cosh(c - a)cosh(b x + c) - 10cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 5cosh(c - a) cosh(b x + c) + (4cosh(c - a) + 2)cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) - 2 +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (cosh(b x + c) - 3cosh(b x + c) + 3cosh(b x + c) - 1) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 5 3 +--R - 2cosh(b x + c) + 2cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) + 3cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 3cosh(c - a)cosh(b x + c) + cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 5 3 +--R 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 2cosh(c - a) cosh(b x + c) + (2cosh(c - a) + 2)cosh(b x + c) +--R + +--R - 2cosh(b x + c) +--R / +--R 2 2 +--R (cosh(b x + c) - 1)sinh(c - a) - cosh(c - a)cosh(b x + c) +--R + +--R cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R (6cosh(b x + c) - 8cosh(b x + c) + 2)sinh(c - a) +--R + +--R 4 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (4cosh(b x + c) - 8cosh(b x + c) + 4cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 4cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (cosh(b x + c) - 3cosh(b x + c) + 3cosh(b x + c) - 1)sinh(c - a) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) + 3cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 3cosh(c - a)cosh(b x + c) + cosh(c - a) +--R Type: Expression Integer +--E 378 + +--S 379 of 518 +t0972:= sinh(a+b*x)*csch(c+b*x)^3 +--R +--R +--R 3 +--R (366) csch(b x + c) sinh(b x + a) +--R Type: Expression Integer +--E 379 + +--S 380 of 518 +r0972:= -cosh(a-c)*coth(c+b*x)/b-1/2*csch(c+b*x)^2*sinh(a-c)/b +--R +--R +--R 2 +--R csch(b x + c) sinh(c - a) - 2cosh(c - a)coth(b x + c) +--R (367) ----------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 380 + +--S 381 of 518 +a0972:= integrate(t0972,x) +--R +--R +--R (368) +--R (- 2sinh(c - a) + 4cosh(c - a))sinh(b x + c) - 2cosh(b x + c)sinh(c - a) +--R / +--R 2 2 3 +--R (b sinh(c - a) - b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (3b cosh(b x + c)sinh(c - a) - 3b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (3b cosh(b x + c) - 3b)sinh(c - a) - 3b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 3b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (b cosh(b x + c) - b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - b cosh(c - a) cosh(b x + c) + b cosh(c - a) cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 381 + +--S 382 of 518 +m0972:= a0972-r0972 +--R +--R +--R (369) +--R 2 3 2 +--R - csch(b x + c) sinh(c - a) + 2cosh(c - a)coth(b x + c)sinh(c - a) +--R + +--R 2 2 3 +--R cosh(c - a) csch(b x + c) sinh(c - a) - 2cosh(c - a) coth(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 3 +--R - 3cosh(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + c)coth(b x + c)sinh(c - a) +--R + +--R 2 2 +--R 3cosh(c - a) cosh(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 3 +--R - 6cosh(c - a) cosh(b x + c)coth(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 3 +--R (- 3cosh(b x + c) + 3)csch(b x + c) sinh(c - a) +--R + +--R 2 2 +--R (6cosh(c - a)cosh(b x + c) - 6cosh(c - a))coth(b x + c)sinh(c - a) +--R + +--R 2 2 2 2 +--R ((3cosh(c - a) cosh(b x + c) - 3cosh(c - a) )csch(b x + c) - 4) +--R * +--R sinh(c - a) +--R + +--R 3 2 3 +--R (- 6cosh(c - a) cosh(b x + c) + 6cosh(c - a) )coth(b x + c) +--R + +--R 8cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 3 +--R (- cosh(b x + c) + cosh(b x + c))csch(b x + c) sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))coth(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 3 2 +--R (cosh(c - a) cosh(b x + c) - cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R csch(b x + c) +--R + +--R - 4cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 3 3 +--R (- 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c))coth(b x + c) +--R / +--R 2 2 3 +--R (2b sinh(c - a) - 2b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (6b cosh(b x + c) - 6b)sinh(c - a) - 6b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2b cosh(b x + c) - 2b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 2b cosh(c - a) cosh(b x + c) + 2b cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 382 + +--S 383 of 518 +d0972:= D(m0972,x) +--R +--R +--R (370) +--R 2 3 +--R coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 2 +--R (- cosh(c - a)coth(b x + c) + cosh(c - a))sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 3 2 3 +--R cosh(c - a) coth(b x + c) - cosh(c - a) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 3 +--R 6cosh(b x + c)coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a)cosh(b x + c)coth(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a) cosh(b x + c)coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 3 2 3 +--R 6cosh(c - a) cosh(b x + c)coth(b x + c) - 6cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 3 +--R (15cosh(b x + c) - 6)coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 2 +--R (- 15cosh(c - a)cosh(b x + c) + 6cosh(c - a))coth(b x + c) +--R + +--R 2 +--R 15cosh(c - a)cosh(b x + c) - 6cosh(c - a) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- 15cosh(c - a) cosh(b x + c) + 6cosh(c - a) )coth(b x + c) +--R * +--R 2 +--R csch(b x + c) +--R + +--R 4 +--R * +--R sinh(c - a) +--R + +--R 3 2 3 2 +--R (15cosh(c - a) cosh(b x + c) - 6cosh(c - a) )coth(b x + c) +--R + +--R 3 2 3 +--R - 15cosh(c - a) cosh(b x + c) + 6cosh(c - a) - 12cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (20cosh(b x + c) - 20cosh(b x + c))coth(b x + c)csch(b x + c) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 3 +--R (- 20cosh(c - a)cosh(b x + c) + 20cosh(c - a)cosh(b x + c)) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 3 +--R 20cosh(c - a)cosh(b x + c) - 20cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) cosh(b x + c) + 20cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 16cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 3 3 +--R (20cosh(c - a) cosh(b x + c) - 20cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 3 3 +--R - 20cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R (20cosh(c - a) - 32cosh(c - a))cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R (15cosh(b x + c) - 24cosh(b x + c) + 9)coth(b x + c) +--R * +--R 2 3 +--R csch(b x + c) sinh(c - a) +--R + +--R 4 2 +--R - 15cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R - 9cosh(c - a) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 4 2 +--R 15cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R 9cosh(c - a) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 9cosh(c - a) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 2 +--R 24cosh(b x + c) + 4 +--R * +--R sinh(c - a) +--R + +--R 3 4 3 2 +--R 15cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 9cosh(c - a) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 3 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 3 2 3 +--R (24cosh(c - a) - 24cosh(c - a))cosh(b x + c) - 9cosh(c - a) +--R + +--R 4cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (6cosh(b x + c) - 12cosh(b x + c) + 6cosh(b x + c))coth(b x + c) +--R * +--R 2 3 +--R csch(b x + c) sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 3 +--R 16cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 5 3 3 +--R 6cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 3 5 3 3 +--R - 6cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (cosh(b x + c) - 2cosh(b x + c) + cosh(b x + c) )coth(b x + c) +--R * +--R 2 3 +--R csch(b x + c) sinh(c - a) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 6 4 +--R cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R 4cosh(b x + c) - 4cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 6 3 4 +--R cosh(c - a) cosh(b x + c) - 2cosh(c - a) cosh(b x + c) +--R + +--R 3 2 +--R cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 3 6 +--R - cosh(c - a) cosh(b x + c) +--R + +--R 3 4 +--R (2cosh(c - a) + 4cosh(c - a))cosh(b x + c) +--R + +--R 3 2 +--R (- cosh(c - a) - 4cosh(c - a))cosh(b x + c) +--R / +--R 2 2 6 +--R (sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 5 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 2 2 +--R (15cosh(b x + c) - 6)sinh(c - a) - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (20cosh(b x + c) - 20cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) + 20cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 24cosh(b x + c) + 9)sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 9cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (6cosh(b x + c) - 12cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (cosh(b x + c) - 2cosh(b x + c) + cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 383 + +--S 384 of 518 +t0973:= cosh(a+b*x)*tanh(c+b*x) +--R +--R +--R (371) cosh(b x + a)tanh(b x + c) +--R Type: Expression Integer +--E 384 + +--S 385 of 518 +r0973:= (cosh(a+b*x)-atan(sinh(c+b*x))*sinh(a-c))/b +--R +--R +--R sinh(c - a)atan(sinh(b x + c)) + cosh(b x + a) +--R (372) ---------------------------------------------- +--R b +--R Type: Expression Integer +--E 385 + +--S 386 of 518 +a0973:= integrate(t0973,x) +--R +--R +--R (373) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) - 2) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 2 +--R - cosh(b x + c) sinh(c - a) + 2cosh(c - a)cosh(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) - 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 386 + +--S 387 of 518 +m0973:= a0973-r0973 +--R +--R +--R (374) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) - 2) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 +--R (- 2sinh(c - a) + 2cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R (4cosh(c - a)cosh(b x + c) - 2cosh(b x + a))sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R - cosh(b x + c) sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c))sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 387 + +--S 388 of 518 +d0973:= D(m0973,x) +--R +--R +--R (375) +--R 2 2 6 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) + 8cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R (- 6cosh(b x + c)sinh(c - a) + 6cosh(c - a)cosh(b x + c)) +--R * +--R sinh(b x + a) +--R + +--R 2 2 +--R - 6cosh(b x + c) sinh(c - a) +--R + +--R 2 2 2 +--R 12cosh(c - a)cosh(b x + c) sinh(c - a) - 6cosh(c - a) cosh(b x + c) +--R + +--R - 1 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 4)sinh(c - a) + 6cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 3 2 +--R (- 4cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (8cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (- 2cosh(c - a) - 2)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (- 2cosh(b x + c) - 8cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 2cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- cosh(b x + c) - 11cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 2 +--R 2cosh(c - a)cosh(b x + c) + 16cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (- 5cosh(c - a) - 1)cosh(b x + c) +--R + +--R 2 +--R cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 2)sinh(c - a) + 6cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 3 2 +--R - 10cosh(b x + c) sinh(c - a) +--R + +--R 3 +--R (14cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (- 2cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- 3cosh(b x + c) - cosh(b x + c) )sinh(c - a) +--R + +--R 4 2 4 +--R 4cosh(c - a)cosh(b x + c) sinh(c - a) - cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R (cosh(c - a) - 1)cosh(b x + c) + 1 +--R / +--R 5 +--R (2sinh(c - a) - 2cosh(c - a))sinh(b x + c) +--R + +--R 4 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 4)sinh(c - a) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (2cosh(b x + c) + 8cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 2)sinh(c - a) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 388 + +--S 389 of 518 +t0974:= cosh(a+b*x)*tanh(c+b*x)^2 +--R +--R +--R 2 +--R (376) cosh(b x + a)tanh(b x + c) +--R Type: Expression Integer +--E 389 + +--S 390 of 518 +r0974:= -atan(sinh(c+b*x))*cosh(a-c)/b+sech(c+b*x)*sinh(a-c)/b+sinh(a+b*x)/b +--R +--R +--R (377) +--R - cosh(c - a)atan(sinh(b x + c)) + sinh(b x + a) - sech(b x + c)sinh(c - a) +--R --------------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 390 + +--S 391 of 518 +a0974:= integrate(t0974,x) +--R +--R +--R (378) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) + 2) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 6cosh(b x + c)sinh(c - a) +--R + +--R - 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a) + 6)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 +--R (- 12cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (6cosh(c - a) + 6)cosh(b x + c) + 2cosh(c - a) + 2 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (2cosh(c - a) + 2)cosh(b x + c) + (2cosh(c - a) + 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) + 8cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 3)sinh(c - a) +--R + +--R 2 +--R (12cosh(c - a)cosh(b x + c) + 6cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) - 3cosh(c - a) + 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (8cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (- 6cosh(c - a) + 6)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) - 3cosh(b x + c) )sinh(c - a) +--R + +--R 4 2 +--R (2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) )sinh(c - a) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (- 3cosh(c - a) + 3)cosh(b x + c) + 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) + 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 391 + +--S 392 of 518 +m0974:= a0974-r0974 +--R +--R +--R (379) +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) + 2) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 6cosh(b x + c)sinh(c - a) +--R + +--R - 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a) + 6)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 +--R (- 12cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (6cosh(c - a) + 6)cosh(b x + c) + 2cosh(c - a) + 2 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (2cosh(c - a) + 2)cosh(b x + c) + (2cosh(c - a) + 2)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 3 +--R (2cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 2cosh(c - a) cosh(b x + c) - 2cosh(c - a) cosh(b x + c) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R (2sech(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R (- 2cosh(c - a)sech(b x + c) + 8cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R (- 6cosh(b x + c)sinh(c - a) + 6cosh(c - a)cosh(b x + c)) +--R * +--R sinh(b x + a) +--R + +--R 2 2 +--R (6cosh(b x + c)sech(b x + c) - 6cosh(b x + c) - 3)sinh(c - a) +--R + +--R - 6cosh(c - a)cosh(b x + c)sech(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + c) + 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) - 3cosh(c - a) + 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 2)sinh(c - a) + 6cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 2 3 +--R (6cosh(b x + c) + 2)sech(b x + c) - 4cosh(b x + c) +--R + +--R - 6cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sech(b x + c) +--R + +--R 3 +--R 8cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (- 6cosh(c - a) + 6)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (- 2cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 3 4 +--R (2cosh(b x + c) + 2cosh(b x + c))sech(b x + c) - cosh(b x + c) +--R + +--R 2 +--R - 3cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c) +--R + +--R 4 2 +--R 2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (- 3cosh(c - a) + 3)cosh(b x + c) + 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) + 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 392 + +--S 393 of 518 +d0974:= D(m0974,x) +--R +--R +--R (380) +--R 2 +--R - 2sech(b x + c)sinh(c - a) +--R + +--R 2cosh(c - a)sech(b x + c)sinh(c - a) +--R * +--R 7 +--R sinh(b x + c) +--R + +--R 2 +--R - 10cosh(b x + c)sech(b x + c)sinh(c - a) +--R + +--R 10cosh(c - a)cosh(b x + c)sech(b x + c)sinh(c - a) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 20cosh(b x + c) - 6)sech(b x + c)sinh(c - a) +--R + +--R 2 +--R (20cosh(c - a)cosh(b x + c) + 6cosh(c - a))sech(b x + c) +--R * +--R sinh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 20cosh(b x + c) - 22cosh(b x + c))sech(b x + c)sinh(c - a) +--R + +--R 3 +--R (20cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 10cosh(b x + c) - 32cosh(b x + c) - 6)sech(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 2cosh(b x + c) - 24cosh(b x + c) - 14cosh(b x + c)) +--R * +--R 2 +--R sech(b x + c)sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R 14cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 10cosh(b x + c) - 12cosh(b x + c) - 2)sech(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 2cosh(b x + c) - 4cosh(b x + c) - 2cosh(b x + c))sech(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R tanh(b x + c) +--R + +--R 2 2 8 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) +--R + +--R (12cosh(c - a)cosh(b x + c) - 2cosh(b x + a))sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R 7 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 15cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R 30cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) + cosh(c - a) - 1 +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 20cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 2 +--R 40cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) - 6cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R - 20cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) - 4cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) - 3cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 3 +--R 30cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R 16cosh(c - a)cosh(b x + c) - 22cosh(b x + a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 13cosh(c - a) - 6)cosh(b x + c) +--R + +--R 2 +--R 22cosh(c - a)cosh(b x + a)cosh(b x + c) + cosh(c - a) + 1 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) - 12cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 5 4 +--R 12cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R 44cosh(c - a)cosh(b x + c) - 32cosh(b x + a)cosh(b x + c) +--R + +--R - 8cosh(c - a)cosh(b x + c) - 6cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 4 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R (- 32cosh(c - a) - 4)cosh(b x + c) +--R + +--R 2 2 +--R 32cosh(c - a)cosh(b x + a)cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (- cosh(b x + c) - 13cosh(b x + c) + 11cosh(b x + c) - 1) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 6 5 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 4 3 +--R 46cosh(c - a)cosh(b x + c) - 24cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 10cosh(c - a)cosh(b x + c) - 14cosh(b x + a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 6 +--R - cosh(c - a) cosh(b x + c) +--R + +--R 5 +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 4 +--R (- 33cosh(c - a) - 1)cosh(b x + c) +--R + +--R 3 +--R 24cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- cosh(c - a) - 4)cosh(b x + c) +--R + +--R 2 +--R 14cosh(c - a)cosh(b x + a)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) + 8cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 5 4 +--R 22cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R - 4cosh(c - a)cosh(b x + c) - 12cosh(b x + a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R - 16cosh(c - a) cosh(b x + c) +--R + +--R 4 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R (- 4cosh(c - a) - 4)cosh(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) + 4)cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (- cosh(b x + c) + 2cosh(b x + c) - cosh(b x + c) )sinh(c - a) +--R + +--R 6 5 +--R 4cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R - 4cosh(b x + a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 5 +--R - 3cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 4 +--R (- 2cosh(c - a) - 1)cosh(b x + c) +--R + +--R 3 +--R 4cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 3cosh(c - a) + 2)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R 7 +--R (2sinh(c - a) - 2cosh(c - a))sinh(b x + c) +--R + +--R 6 +--R (10cosh(b x + c)sinh(c - a) - 10cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (20cosh(b x + c) + 6)sinh(c - a) - 20cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (20cosh(b x + c) + 22cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 20cosh(c - a)cosh(b x + c) - 22cosh(c - a)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10cosh(b x + c) + 32cosh(b x + c) + 6)sinh(c - a) +--R + +--R 4 2 +--R - 10cosh(c - a)cosh(b x + c) - 32cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (2cosh(b x + c) + 24cosh(b x + c) + 14cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R - 14cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10cosh(b x + c) + 12cosh(b x + c) + 2)sinh(c - a) +--R + +--R 4 2 +--R - 10cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2cosh(b x + c) + 4cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 393 + +--S 394 of 518 +t0975:= cosh(a+b*x)*tanh(c+b*x)^3 +--R +--R +--R 3 +--R (381) cosh(b x + a)tanh(b x + c) +--R Type: Expression Integer +--E 394 + +--S 395 of 518 +r0975:= cosh(a+b*x)/b+cosh(a-c)*sech(c+b*x)/b-_ + 3/2*atan(sinh(c+b*x))*sinh(a-c)/b+1/2*sech(c+b*x)*_ + sinh(a-c)*tanh(c+b*x)/b +--R +--R +--R (382) +--R 3sinh(c - a)atan(sinh(b x + c)) - sech(b x + c)sinh(c - a)tanh(b x + c) +--R + +--R 2cosh(c - a)sech(b x + c) + 2cosh(b x + a) +--R / +--R 2b +--R Type: Expression Integer +--E 395 + +--S 396 of 518 +a0975:= integrate(t0975,x) +--R +--R +--R (383) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) - 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) - 30)cosh(b x + c) + 6cosh(c - a) - 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) - 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) - 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) - 18)cosh(b x + c) + 3cosh(c - a) - 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) + 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R (3cosh(c - a) - 3)cosh(b x + c) + (6cosh(c - a) - 6)cosh(b x + c) +--R + +--R 2 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 6 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) + 12cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 15cosh(b x + c) - 5)sinh(c - a) +--R + +--R 2 +--R (30cosh(c - a)cosh(b x + c) + 10cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 5cosh(c - a) - 2 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 20cosh(b x + c) - 20cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (40cosh(c - a)cosh(b x + c) + 40cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) - 8)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) - 30cosh(b x + c) - 2)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) + 60cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) - 12)cosh(b x + c) - 2cosh(c - a) - 5 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) - 20cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 12cosh(c - a)cosh(b x + c) + 40cosh(c - a)cosh(b x + c) +--R + +--R 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) - 8)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) - 10)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (- cosh(b x + c) - 5cosh(b x + c) - 2cosh(b x + c) )sinh(c - a) +--R + +--R 6 4 +--R 2cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + (- 5cosh(c - a) - 2)cosh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(c - a) - 5)cosh(b x + c) - 1 +--R / +--R 5 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (10b cosh(b x + c)sinh(c - a) - 10b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (20b cosh(b x + c) + 4b)sinh(c - a) - 20b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (20b cosh(b x + c) + 12b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 20b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10b cosh(b x + c) + 12b cosh(b x + c) + 2b)sinh(c - a) +--R + +--R 4 2 +--R - 10b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2b cosh(b x + c) + 4b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2b cosh(c - a)cosh(b x + c) - 4b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 396 + +--S 397 of 518 +m0975:= a0975-r0975 +--R +--R +--R (384) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) - 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) - 30)cosh(b x + c) + 6cosh(c - a) - 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) - 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) - 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) - 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) - 18)cosh(b x + c) + 3cosh(c - a) - 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) + 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R (3cosh(c - a) - 3)cosh(b x + c) + (6cosh(c - a) - 6)cosh(b x + c) +--R + +--R 2 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 5 +--R (- 3sinh(c - a) + 3cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 15cosh(b x + c)sinh(c - a) +--R + +--R 15cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) - 6)sinh(c - a) +--R + +--R 2 +--R (30cosh(c - a)cosh(b x + c) + 6cosh(c - a))sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 30cosh(b x + c) - 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (30cosh(c - a)cosh(b x + c) + 18cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) - 18cosh(b x + c) - 3)sinh(c - a) +--R + +--R 4 2 +--R 15cosh(c - a)cosh(b x + c) + 18cosh(c - a)cosh(b x + c) +--R + +--R 3cosh(c - a) +--R * +--R sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 3cosh(b x + c) - 6cosh(b x + c) - 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 3cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 3cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 +--R (sech(b x + c)sinh(c - a) - cosh(c - a)sech(b x + c)sinh(c - a)) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 5cosh(b x + c)sech(b x + c)sinh(c - a) +--R + +--R - 5cosh(c - a)cosh(b x + c)sech(b x + c)sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (10cosh(b x + c) + 2)sech(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 10cosh(c - a)cosh(b x + c) - 2cosh(c - a))sech(b x + c) +--R * +--R sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (10cosh(b x + c) + 6cosh(b x + c))sech(b x + c)sinh(c - a) +--R + +--R 3 +--R (- 10cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (5cosh(b x + c) + 6cosh(b x + c) + 1)sech(b x + c)sinh(c - a) +--R + +--R 4 2 +--R - 5cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (cosh(b x + c) + 2cosh(b x + c) + cosh(b x + c))sech(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R - cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R tanh(b x + c) +--R + +--R 2 2 6 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) +--R + +--R - 2cosh(c - a)sech(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 2 +--R 2cosh(c - a) sech(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 15cosh(b x + c) - 5)sinh(c - a) +--R + +--R - 10cosh(c - a)cosh(b x + c)sech(b x + c) +--R + +--R 2 +--R 30cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R 10cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 +--R 10cosh(c - a) cosh(b x + c)sech(b x + c) +--R + +--R 2 2 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) - 5cosh(c - a) - 2 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 20cosh(b x + c) - 20cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R (- 20cosh(c - a)cosh(b x + c) - 4cosh(c - a))sech(b x + c) +--R + +--R 3 2 +--R 40cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R 40cosh(c - a)cosh(b x + c) - 4cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (20cosh(c - a) cosh(b x + c) + 4cosh(c - a) )sech(b x + c) +--R + +--R 2 3 +--R - 20cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (- 20cosh(c - a) - 8)cosh(b x + c) + 4cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) - 30cosh(b x + c) - 2)sinh(c - a) +--R + +--R 3 +--R (- 20cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c) +--R + +--R 4 3 +--R 30cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R 60cosh(c - a)cosh(b x + c) - 12cosh(b x + a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (20cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c)) +--R * +--R sech(b x + c) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(c - a) - 12)cosh(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + a)cosh(b x + c) - 2cosh(c - a) - 5 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 6cosh(b x + c) - 20cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 4 2 +--R - 10cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sech(b x + c) +--R + +--R 5 4 +--R 12cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R 40cosh(c - a)cosh(b x + c) - 12cosh(b x + a)cosh(b x + c) +--R + +--R 8cosh(c - a)cosh(b x + c) - 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R 10cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 2cosh(c - a) +--R * +--R sech(b x + c) +--R + +--R 2 5 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 4 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R (- 20cosh(c - a) - 8)cosh(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (- 4cosh(c - a) - 10)cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (- cosh(b x + c) - 5cosh(b x + c) - 2cosh(b x + c) )sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R * +--R sech(b x + c) +--R + +--R 6 5 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 4 3 +--R 10cosh(c - a)cosh(b x + c) - 4cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R 4cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R 2cosh(c - a) cosh(b x + c) + 4cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 2cosh(c - a) cosh(b x + c) +--R * +--R sech(b x + c) +--R + +--R 2 6 5 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 4 +--R (- 5cosh(c - a) - 2)cosh(b x + c) +--R + +--R 3 +--R 4cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(c - a) - 5)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R 5 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (10b cosh(b x + c)sinh(c - a) - 10b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (20b cosh(b x + c) + 4b)sinh(c - a) - 20b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (20b cosh(b x + c) + 12b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 20b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (10b cosh(b x + c) + 12b cosh(b x + c) + 2b)sinh(c - a) +--R + +--R 4 2 +--R - 10b cosh(c - a)cosh(b x + c) - 12b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2b cosh(b x + c) + 4b cosh(b x + c) + 2b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2b cosh(c - a)cosh(b x + c) - 4b cosh(c - a)cosh(b x + c) +--R + +--R - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 397 + +--S 398 of 518 +--d0975:= D(m0975,x) +--E 398 + +--S 399 of 518 +t0976:= cosh(a+b*x)*coth(c+b*x) +--R +--R +--R (385) cosh(b x + a)coth(b x + c) +--R Type: Expression Integer +--E 399 + +--S 400 of 518 +r0976:= -(acoth(cosh(c+b*x))*cosh(a-c)-cosh(a+b*x))/b +--R +--R +--R - cosh(c - a)acoth(cosh(b x + c)) + cosh(b x + a) +--R (386) ------------------------------------------------- +--R b +--R Type: Expression Integer +--E 400 + +--S 401 of 518 +a0976:= integrate(t0976,x) +--R +--R +--R (387) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R - cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) + 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 2 +--R - cosh(b x + c) sinh(c - a) + 2cosh(c - a)cosh(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) - 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 401 + +--S 402 of 518 +m0976:= a0976-r0976 +--R +--R +--R (388) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) + 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R - cosh(b x + c)sinh(c - a) + 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 +--R (2cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R 2cosh(c - a)cosh(b x + c)sinh(c - a) - 2cosh(c - a) cosh(b x + c) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R (4cosh(c - a)cosh(b x + c) - 2cosh(b x + a))sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R - cosh(b x + c) sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c))sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) - 1 +--R / +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 402 + +--S 403 of 518 +d0976:= D(m0976,x) +--R +--R +--R (389) +--R 2 2 +--R (- cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - cosh(c - a) cosh(b x + c) + 3cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(b x + c) + 2)sinh(c - a) + 2cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 3 2 +--R (- 4cosh(b x + c) + 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (8cosh(c - a)cosh(b x + c) - 14cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + 10cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (- 6cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 6cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- 6cosh(b x + c) + 5cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 2 +--R (12cosh(c - a)cosh(b x + c) - 16cosh(c - a)cosh(b x + c) ) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 6cosh(c - a) cosh(b x + c) + (11cosh(c - a) - 1)cosh(b x + c) +--R + +--R 2 +--R - cosh(c - a) + 1 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 6cosh(b x + c) + 8cosh(b x + c) - 2)sinh(c - a) +--R + +--R 4 2 +--R 6cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 5 3 2 +--R (- 4cosh(b x + c) + 2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 8cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 4cosh(c - a) cosh(b x + c) + (4cosh(c - a) - 2)cosh(b x + c) +--R + +--R 2cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 2cosh(b x + c) + 4cosh(b x + c) - 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 6 2 2 +--R (- cosh(b x + c) + cosh(b x + c) )sinh(c - a) +--R + +--R 6 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 4 +--R - cosh(c - a) cosh(b x + c) - cosh(b x + c) +--R + +--R 2 2 +--R cosh(c - a) cosh(b x + c) + 1 +--R / +--R 2 2 +--R (2cosh(b x + c) - 2)sinh(c - a) - 2cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (6cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 6cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (6cosh(b x + c) - 8cosh(b x + c) + 2)sinh(c - a) +--R + +--R 4 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (2cosh(b x + c) - 4cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 2cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 403 + +--S 404 of 518 +t0977:= cosh(a+b*x)*coth(c+b*x)^2 +--R +--R +--R 2 +--R (390) cosh(b x + a)coth(b x + c) +--R Type: Expression Integer +--E 404 + +--S 405 of 518 +r0977:= -cosh(a-c)*csch(c+b*x)/b-acoth(cosh(c+b*x))*sinh(a-c)/b+sinh(a+b*x)/b +--R +--R +--R (391) +--R sinh(c - a)acoth(cosh(b x + c)) + sinh(b x + a) - cosh(c - a)csch(b x + c) +--R -------------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 405 + +--S 406 of 518 +a0977:= integrate(t0977,x) +--R +--R +--R (392) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 3cosh(b x + c)sinh(c - a) - 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (3cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (3cosh(c - a) - 3)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (cosh(b x + c) - cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (cosh(c - a) - 1)cosh(b x + c) + (- cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R - 3cosh(b x + c)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 3cosh(c - a) + 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 3cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 3cosh(c - a) + 3)cosh(b x + c) + cosh(c - a) - 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (- cosh(b x + c) + cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (- cosh(c - a) + 1)cosh(b x + c) + (cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) + 8cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) + 3)sinh(c - a) +--R + +--R 2 +--R (12cosh(c - a)cosh(b x + c) - 6cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) + 3cosh(c - a) + 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 4cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (8cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (6cosh(c - a) + 6)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- cosh(b x + c) + 3cosh(b x + c) )sinh(c - a) +--R + +--R 4 2 +--R (2cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) )sinh(c - a) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (3cosh(c - a) + 3)cosh(b x + c) - 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) - 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) - 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) + 2b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 406 + +--S 407 of 518 +m0977:= a0977-r0977 +--R +--R +--R (393) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R 3cosh(b x + c)sinh(c - a) - 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (3cosh(c - a) - 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (3cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (3cosh(c - a) - 3)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (cosh(b x + c) - cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (cosh(c - a) - 1)cosh(b x + c) + (- cosh(c - a) + 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 +--R - 3cosh(b x + c)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 3cosh(c - a) + 3)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 3cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 3cosh(c - a) + 3)cosh(b x + c) + cosh(c - a) - 1 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (- cosh(b x + c) + cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R (- cosh(c - a) + 1)cosh(b x + c) + (cosh(c - a) - 1)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 3 +--R (- 2sinh(c - a) + 2cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))sinh(c - a) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 2 4 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R (- 2sinh(c - a) + 2cosh(c - a))sinh(b x + a) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) +--R + +--R (2cosh(c - a)csch(b x + c) + 8cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 2 +--R - 2cosh(c - a) csch(b x + c) - 4cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R (- 6cosh(b x + c)sinh(c - a) + 6cosh(c - a)cosh(b x + c)) +--R * +--R sinh(b x + a) +--R + +--R 2 2 +--R (- 6cosh(b x + c) + 3)sinh(c - a) +--R + +--R 6cosh(c - a)cosh(b x + c)csch(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + c) - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c)csch(b x + c) +--R + +--R 2 2 2 +--R - 6cosh(c - a) cosh(b x + c) + 3cosh(c - a) + 3 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) + 2)sinh(c - a) + 6cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R sinh(b x + a) +--R + +--R 3 2 +--R (- 4cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R (6cosh(c - a)cosh(b x + c) - 2cosh(c - a))csch(b x + c) +--R + +--R 3 +--R 8cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- 6cosh(c - a) cosh(b x + c) + 2cosh(c - a) )csch(b x + c) +--R + +--R 2 3 2 +--R - 4cosh(c - a) cosh(b x + c) + (6cosh(c - a) + 6)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (- 2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- cosh(b x + c) + 3cosh(b x + c) )sinh(c - a) +--R + +--R 3 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c))csch(b x + c) +--R + +--R 4 2 +--R 2cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (- 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c))csch(b x + c) +--R + +--R 2 4 2 2 +--R - cosh(c - a) cosh(b x + c) + (3cosh(c - a) + 3)cosh(b x + c) - 1 +--R / +--R 3 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c) - 2b)sinh(c - a) - 6b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (2b cosh(b x + c) - 2b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 2b cosh(c - a)cosh(b x + c) + 2b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 407 + +--S 408 of 518 +d0977:= D(m0977,x) +--R +--R +--R (394) +--R 2 2 +--R (- cosh(b x + c) + 3)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - cosh(c - a) cosh(b x + c) + cosh(c - a) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 6cosh(b x + c) + 16cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a))coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 3 2 +--R 12cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R - 22cosh(c - a)cosh(b x + c) + 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (2cosh(c - a) cosh(b x + c) - 2cosh(c - a) )coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 2 3 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R 2cosh(c - a)cosh(b x + a)cosh(b x + c) + 6cosh(c - a) cosh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) + 33cosh(b x + c) - 2)sinh(c - a) +--R + +--R 3 +--R (- 10cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 4 3 +--R 30cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 46cosh(c - a)cosh(b x + c) + 10cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (10cosh(c - a) cosh(b x + c) - 10cosh(c - a) cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 4 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (13cosh(c - a) - 1)cosh(b x + c) +--R + +--R 2 +--R - 10cosh(c - a)cosh(b x + a)cosh(b x + c) + 2cosh(c - a) + 1 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 20cosh(b x + c) + 32cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 4 2 +--R - 20cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 5 4 +--R 40cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R - 44cosh(c - a)cosh(b x + c) + 24cosh(b x + a)cosh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) - 4cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R 20cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 4cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 5 +--R - 20cosh(c - a) cosh(b x + c) +--R + +--R 4 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R (12cosh(c - a) - 4)cosh(b x + c) +--R + +--R 2 +--R - 24cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (8cosh(c - a) + 4)cosh(b x + c) + 4cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (- 15cosh(b x + c) + 13cosh(b x + c) - cosh(b x + c) + 3) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R - 20cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R - 12cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 6 5 +--R 30cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R 4 3 +--R - 16cosh(c - a)cosh(b x + c) + 32cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 10cosh(c - a)cosh(b x + c) - 12cosh(b x + a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R 20cosh(c - a) cosh(b x + c) - 32cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 12cosh(c - a) cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 6 +--R - 15cosh(c - a) cosh(b x + c) +--R + +--R 5 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 4 +--R (3cosh(c - a) - 6)cosh(b x + c) +--R + +--R 3 +--R - 32cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (11cosh(c - a) + 4)cosh(b x + c) +--R + +--R 2 +--R 12cosh(c - a)cosh(b x + a)cosh(b x + c) + cosh(c - a) + 2 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 7 3 2 +--R (- 6cosh(b x + c) + 2cosh(b x + c) + 4cosh(b x + c))sinh(c - a) +--R + +--R 6 4 +--R - 10cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 14cosh(c - a)cosh(b x + c) + 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 7 6 +--R 12cosh(c - a)cosh(b x + c) - 10cosh(b x + a)cosh(b x + c) +--R + +--R 5 4 +--R 2cosh(c - a)cosh(b x + c) + 22cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R - 8cosh(c - a)cosh(b x + c) - 14cosh(b x + a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) + 2cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R 10cosh(c - a) cosh(b x + c) - 22cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R 14cosh(c - a) cosh(b x + c) - 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 7 +--R - 6cosh(c - a) cosh(b x + c) +--R + +--R 6 +--R 10cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 5 +--R (- 2cosh(c - a) - 4)cosh(b x + c) +--R + +--R 4 +--R - 22cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R 6cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 14cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (2cosh(c - a) + 4)cosh(b x + c) - 2cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 8 6 4 2 +--R (- cosh(b x + c) - cosh(b x + c) + cosh(b x + c) + cosh(b x + c) ) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 7 5 +--R - 2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 3 +--R - 6cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 8 7 +--R 2cosh(c - a)cosh(b x + c) - 2cosh(b x + a)cosh(b x + c) +--R + +--R 6 5 +--R 2cosh(c - a)cosh(b x + c) + 6cosh(b x + a)cosh(b x + c) +--R + +--R 4 3 +--R - 2cosh(c - a)cosh(b x + c) - 6cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a)cosh(b x + c) + 2cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 7 2 5 +--R 2cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 3 2 +--R 6cosh(c - a) cosh(b x + c) - 2cosh(c - a) cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 8 7 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 6 +--R (- cosh(c - a) - 1)cosh(b x + c) +--R + +--R 5 +--R - 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 4 +--R (cosh(c - a) - 1)cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (cosh(c - a) + 1)cosh(b x + c) - 2cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 1 +--R / +--R 2 2 +--R (2cosh(b x + c) - 2)sinh(c - a) - 2cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 3 +--R (10cosh(b x + c) - 10cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 10cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 4 2 +--R (20cosh(b x + c) - 24cosh(b x + c) + 4)sinh(c - a) +--R + +--R 4 2 +--R - 20cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 5 3 +--R (20cosh(b x + c) - 32cosh(b x + c) + 12cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 20cosh(c - a)cosh(b x + c) + 32cosh(c - a)cosh(b x + c) +--R + +--R - 12cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (10cosh(b x + c) - 22cosh(b x + c) + 14cosh(b x + c) - 2) +--R * +--R sinh(c - a) +--R + +--R 6 4 +--R - 10cosh(c - a)cosh(b x + c) + 22cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 14cosh(c - a)cosh(b x + c) + 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 7 5 3 +--R (2cosh(b x + c) - 6cosh(b x + c) + 6cosh(b x + c) - 2cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 7 5 +--R - 2cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 3 +--R - 6cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 408 + +--S 409 of 518 +t0978:= cosh(a+b*x)*coth(c+b*x)^3 +--R +--R +--R 3 +--R (395) cosh(b x + a)coth(b x + c) +--R Type: Expression Integer +--E 409 + +--S 410 of 518 +r0978:= -3/2*acoth(cosh(c+b*x))*cosh(a-c)/b+cosh(a+b*x)/b-_ + 1/2*cosh(a-c)*coth(c+b*x)*csch(c+b*x)/b-csch(c+b*x)*sinh(a-c)/b +--R +--R +--R (396) +--R - 3cosh(c - a)acoth(cosh(b x + c)) + 2csch(b x + c)sinh(c - a) +--R + +--R - cosh(c - a)coth(b x + c)csch(b x + c) + 2cosh(b x + a) +--R / +--R 2b +--R Type: Expression Integer +--E 410 + +--S 411 of 518 +a0978:= integrate(t0978,x) +--R +--R +--R (397) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) + 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) - 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) + 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) + 30)cosh(b x + c) - 6cosh(c - a) - 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) - 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) + 30)cosh(b x + c) +--R + +--R 2 +--R (- 18cosh(c - a) - 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (- 18cosh(c - a) - 18)cosh(b x + c) + 3cosh(c - a) + 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) - 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (3cosh(c - a) + 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (- 6cosh(c - a) - 6)cosh(b x + c) + (3cosh(c - a) + 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- 3sinh(c - a) + 6cosh(c - a)sinh(c - a) - 3cosh(c - a) - 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R - 15cosh(b x + c)sinh(c - a) +--R + +--R 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 15cosh(c - a) - 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) - 30)cosh(b x + c) + 6cosh(c - a) + 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (- 30cosh(c - a) - 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) + 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) + 18cosh(b x + c) - 3)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (- 15cosh(c - a) - 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) + 18)cosh(b x + c) - 3cosh(c - a) - 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 3cosh(b x + c) + 6cosh(b x + c) - 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (- 3cosh(c - a) - 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (6cosh(c - a) + 6)cosh(b x + c) + (- 3cosh(c - a) - 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 6 +--R (- 2sinh(c - a) + 4cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 12cosh(b x + c)sinh(c - a) + 24cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 12cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) + 10)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 20cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 30cosh(c - a) cosh(b x + c) + 10cosh(c - a) - 4 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 40cosh(b x + c) + 40cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (80cosh(c - a)cosh(b x + c) - 80cosh(c - a)cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 40cosh(c - a) cosh(b x + c) + (40cosh(c - a) - 16)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 30cosh(b x + c) + 60cosh(b x + c) - 4)sinh(c - a) +--R + +--R 4 2 +--R 60cosh(c - a)cosh(b x + c) - 120cosh(c - a)cosh(b x + c) +--R + +--R 8cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 30cosh(c - a) cosh(b x + c) + (60cosh(c - a) - 24)cosh(b x + c) +--R + +--R 2 +--R - 4cosh(c - a) + 10 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 12cosh(b x + c) + 40cosh(b x + c) - 8cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 24cosh(c - a)cosh(b x + c) - 80cosh(c - a)cosh(b x + c) +--R + +--R 16cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 12cosh(c - a) cosh(b x + c) + (40cosh(c - a) - 16)cosh(b x + c) +--R + +--R 2 +--R (- 8cosh(c - a) + 20)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (- 2cosh(b x + c) + 10cosh(b x + c) - 4cosh(b x + c) )sinh(c - a) +--R + +--R 6 4 +--R 4cosh(c - a)cosh(b x + c) - 20cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - 2cosh(c - a) cosh(b x + c) + (10cosh(c - a) - 4)cosh(b x + c) +--R + +--R 2 2 +--R (- 4cosh(c - a) + 10)cosh(b x + c) - 2 +--R / +--R 5 +--R (4b sinh(c - a) - 4b cosh(c - a))sinh(b x + c) +--R + +--R (20b cosh(b x + c)sinh(c - a) - 20b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (40b cosh(b x + c) - 8b)sinh(c - a) - 40b cosh(c - a)cosh(b x + c) +--R + +--R 8b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (40b cosh(b x + c) - 24b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 40b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (20b cosh(b x + c) - 24b cosh(b x + c) + 4b)sinh(c - a) +--R + +--R 4 2 +--R - 20b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (4b cosh(b x + c) - 8b cosh(b x + c) + 4b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 4b cosh(c - a)cosh(b x + c) + 8b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a)cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 411 + +--S 412 of 518 +m0978:= a0978-r0978 +--R +--R +--R (398) +--R 2 2 +--R (3sinh(c - a) - 6cosh(c - a)sinh(c - a) + 3cosh(c - a) + 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R 15cosh(b x + c)sinh(c - a) +--R + +--R - 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (30cosh(b x + c) - 6)sinh(c - a) +--R + +--R 2 +--R (- 60cosh(c - a)cosh(b x + c) + 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (30cosh(c - a) + 30)cosh(b x + c) - 6cosh(c - a) - 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (30cosh(b x + c) - 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 60cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (30cosh(c - a) + 30)cosh(b x + c) +--R + +--R 2 +--R (- 18cosh(c - a) - 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 18cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - 30cosh(c - a)cosh(b x + c) + 36cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (15cosh(c - a) + 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (- 18cosh(c - a) - 18)cosh(b x + c) + 3cosh(c - a) + 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (3cosh(b x + c) - 6cosh(b x + c) + 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (3cosh(c - a) + 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (- 6cosh(c - a) - 6)cosh(b x + c) + (3cosh(c - a) + 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- 3sinh(c - a) + 6cosh(c - a)sinh(c - a) - 3cosh(c - a) - 3) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 +--R - 15cosh(b x + c)sinh(c - a) +--R + +--R 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 15cosh(c - a) - 15)cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 30cosh(b x + c) + 6)sinh(c - a) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- 30cosh(c - a) - 30)cosh(b x + c) + 6cosh(c - a) + 6 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 30cosh(b x + c) + 18cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 +--R (- 30cosh(c - a) - 30)cosh(b x + c) +--R + +--R 2 +--R (18cosh(c - a) + 18)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 15cosh(b x + c) + 18cosh(b x + c) - 3)sinh(c - a) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 +--R (- 15cosh(c - a) - 15)cosh(b x + c) +--R + +--R 2 2 2 +--R (18cosh(c - a) + 18)cosh(b x + c) - 3cosh(c - a) - 3 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 3cosh(b x + c) + 6cosh(b x + c) - 3cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 +--R (- 3cosh(c - a) - 3)cosh(b x + c) +--R + +--R 2 3 2 +--R (6cosh(c - a) + 6)cosh(b x + c) + (- 3cosh(c - a) - 3)cosh(b x + c) +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 5 +--R (6cosh(c - a)sinh(c - a) - 6cosh(c - a) )sinh(b x + c) +--R + +--R 30cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 30cosh(c - a) cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 +--R (60cosh(c - a)cosh(b x + c) - 12cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 60cosh(c - a) cosh(b x + c) + 12cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (60cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R - 60cosh(c - a) cosh(b x + c) + 36cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R 30cosh(c - a)cosh(b x + c) - 36cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 30cosh(c - a) cosh(b x + c) + 36cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 2 6 +--R (- 2sinh(c - a) + 4cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R (- 4csch(b x + c) - 12cosh(b x + c))sinh(c - a) +--R + +--R (2cosh(c - a)coth(b x + c) + 4cosh(c - a))csch(b x + c) +--R + +--R 24cosh(c - a)cosh(b x + c) - 4cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 +--R - 2cosh(c - a) coth(b x + c)csch(b x + c) +--R + +--R 2 +--R - 12cosh(c - a) cosh(b x + c) + 4cosh(c - a)cosh(b x + a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 20cosh(b x + c)csch(b x + c) - 30cosh(b x + c) + 10)sinh(c - a) +--R + +--R 10cosh(c - a)cosh(b x + c)coth(b x + c) +--R + +--R 20cosh(c - a)cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 2 +--R 60cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R - 20cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 +--R - 10cosh(c - a) cosh(b x + c)coth(b x + c)csch(b x + c) +--R + +--R 2 2 +--R - 30cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) + 10cosh(c - a) - 4 +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 3 +--R (- 40cosh(b x + c) + 8)csch(b x + c) - 40cosh(b x + c) +--R + +--R 40cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 +--R (20cosh(c - a)cosh(b x + c) - 4cosh(c - a))coth(b x + c) +--R + +--R 2 +--R 40cosh(c - a)cosh(b x + c) - 8cosh(c - a) +--R * +--R csch(b x + c) +--R + +--R 3 2 +--R 80cosh(c - a)cosh(b x + c) - 40cosh(b x + a)cosh(b x + c) +--R + +--R - 80cosh(c - a)cosh(b x + c) + 8cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- 20cosh(c - a) cosh(b x + c) + 4cosh(c - a) )coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R 2 3 +--R - 40cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 40cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (40cosh(c - a) - 16)cosh(b x + c) - 8cosh(c - a)cosh(b x + a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (- 40cosh(b x + c) + 24cosh(b x + c))csch(b x + c) +--R + +--R 4 2 +--R - 30cosh(b x + c) + 60cosh(b x + c) - 4 +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 +--R (20cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c)) +--R * +--R coth(b x + c) +--R + +--R 3 +--R 40cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 4 3 +--R 60cosh(c - a)cosh(b x + c) - 40cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R - 120cosh(c - a)cosh(b x + c) + 24cosh(b x + a)cosh(b x + c) +--R + +--R 8cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 4 +--R - 30cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 40cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (60cosh(c - a) - 24)cosh(b x + c) +--R + +--R 2 +--R - 24cosh(c - a)cosh(b x + a)cosh(b x + c) - 4cosh(c - a) + 10 +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (- 20cosh(b x + c) + 24cosh(b x + c) - 4)csch(b x + c) +--R + +--R 5 3 +--R - 12cosh(b x + c) + 40cosh(b x + c) - 8cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R 10cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a) +--R * +--R coth(b x + c) +--R + +--R 4 2 +--R 20cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R csch(b x + c) +--R + +--R 5 4 +--R 24cosh(c - a)cosh(b x + c) - 20cosh(b x + a)cosh(b x + c) +--R + +--R 3 2 +--R - 80cosh(c - a)cosh(b x + c) + 24cosh(b x + a)cosh(b x + c) +--R + +--R 16cosh(c - a)cosh(b x + c) - 4cosh(b x + a) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 10cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 5 +--R - 12cosh(c - a) cosh(b x + c) +--R + +--R 4 +--R 20cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 3 +--R (40cosh(c - a) - 16)cosh(b x + c) +--R + +--R 2 +--R - 24cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R (- 8cosh(c - a) + 20)cosh(b x + c) + 4cosh(c - a)cosh(b x + a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (- 4cosh(b x + c) + 8cosh(b x + c) - 4cosh(b x + c))csch(b x + c) +--R + +--R 6 4 2 +--R - 2cosh(b x + c) + 10cosh(b x + c) - 4cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 5 3 +--R 2cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R + +--R 2cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c) +--R + +--R 5 3 +--R 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R + +--R 4cosh(c - a)cosh(b x + c) +--R * +--R csch(b x + c) +--R + +--R 6 5 +--R 4cosh(c - a)cosh(b x + c) - 4cosh(b x + a)cosh(b x + c) +--R + +--R 4 3 +--R - 20cosh(c - a)cosh(b x + c) + 8cosh(b x + a)cosh(b x + c) +--R + +--R 2 +--R 8cosh(c - a)cosh(b x + c) - 4cosh(b x + a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R - 2cosh(c - a) cosh(b x + c) + 4cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 6 5 +--R - 2cosh(c - a) cosh(b x + c) + 4cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 4 +--R (10cosh(c - a) - 4)cosh(b x + c) +--R + +--R 3 +--R - 8cosh(c - a)cosh(b x + a)cosh(b x + c) +--R + +--R 2 2 +--R (- 4cosh(c - a) + 10)cosh(b x + c) +--R + +--R 4cosh(c - a)cosh(b x + a)cosh(b x + c) - 2 +--R / +--R 5 +--R (4b sinh(c - a) - 4b cosh(c - a))sinh(b x + c) +--R + +--R (20b cosh(b x + c)sinh(c - a) - 20b cosh(c - a)cosh(b x + c)) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (40b cosh(b x + c) - 8b)sinh(c - a) - 40b cosh(c - a)cosh(b x + c) +--R + +--R 8b cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R (40b cosh(b x + c) - 24b cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 40b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 +--R (20b cosh(b x + c) - 24b cosh(b x + c) + 4b)sinh(c - a) +--R + +--R 4 2 +--R - 20b cosh(c - a)cosh(b x + c) + 24b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 5 3 +--R (4b cosh(b x + c) - 8b cosh(b x + c) + 4b cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 4b cosh(c - a)cosh(b x + c) + 8b cosh(c - a)cosh(b x + c) +--R + +--R - 4b cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 412 + +--S 413 of 518 +--d0978:= D(m0978,x) +--E 413 + +--S 414 of 518 +t0979:= cosh(a+b*x)*sech(c+b*x) +--R +--R +--R (399) cosh(b x + a)sech(b x + c) +--R Type: Expression Integer +--E 414 + +--S 415 of 518 +r0979:= x*cosh(a-c)+log(cosh(c+b*x))*sinh(a-c)/b +--R +--R +--R - sinh(c - a)log(cosh(b x + c)) + b x cosh(c - a) +--R (400) ------------------------------------------------- +--R b +--R Type: Expression Integer +--E 415 + +--S 416 of 518 +a0979:= integrate(t0979,x) +--R +--R +--R (401) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2cosh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R - 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 416 + +--S 417 of 518 +m0979:= a0979-r0979 +--R +--R +--R (402) +--R 2 +--R (2sinh(c - a) - 2cosh(c - a)sinh(c - a))log(cosh(b x + c)) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2cosh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R 2 +--R - 2b x cosh(c - a)sinh(c - a) + 2b x cosh(c - a) - 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Expression Integer +--E 417 + +--S 418 of 518 +d0979:= D(m0979,x) +--R +--R +--R (403) +--R 2 2 +--R (sinh(c - a) - cosh(c - a) + 1)sinh(b x + c) +--R + +--R 2 2 +--R - cosh(b x + c)sinh(c - a) + (cosh(c - a) - 1)cosh(b x + c) +--R / +--R 2cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c) +--R Type: Expression Integer +--E 418 + +--S 419 of 518 +t0980:= cosh(a+b*x)*sech(c+b*x)^2 +--R +--R +--R 2 +--R (404) cosh(b x + a)sech(b x + c) +--R Type: Expression Integer +--E 419 + +--S 420 of 518 +r0980:= atan(sinh(c+b*x))*cosh(a-c)/b-sech(c+b*x)*sinh(a-c)/b +--R +--R +--R cosh(c - a)atan(sinh(b x + c)) + sech(b x + c)sinh(c - a) +--R (405) --------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 420 + +--S 421 of 518 +a0980:= integrate(t0980,x) +--R +--R +--R (406) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) - 1)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1)sinh(b x + c) +--R + +--R 2 +--R cosh(b x + c)sinh(c - a) - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) - 1)cosh(b x + c) +--R / +--R 2 +--R (b sinh(c - a) - b cosh(c - a))sinh(b x + c) +--R + +--R (2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (b cosh(b x + c) + b)sinh(c - a) - b cosh(c - a)cosh(b x + c) +--R + +--R - b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 421 + +--S 422 of 518 +m0980:= a0980-r0980 +--R +--R +--R (407) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) - 1)cosh(b x + c) - cosh(c - a) - 1 +--R * +--R atan(sinh(b x + c) + cosh(b x + c)) +--R + +--R 2 2 +--R (- cosh(c - a)sinh(c - a) + cosh(c - a) )sinh(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R 2cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R (- cosh(c - a)cosh(b x + c) - cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R cosh(c - a) cosh(b x + c) + cosh(c - a) +--R * +--R atan(sinh(b x + c)) +--R + +--R 2 +--R (- sech(b x + c)sinh(c - a) + cosh(c - a)sech(b x + c)sinh(c - a)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R (- 2cosh(b x + c)sech(b x + c) + 1)sinh(c - a) +--R + +--R (2cosh(c - a)cosh(b x + c)sech(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 +--R cosh(c - a) - 1 +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R ((- cosh(b x + c) - 1)sech(b x + c) + cosh(b x + c))sinh(c - a) +--R + +--R 2 +--R (cosh(c - a)cosh(b x + c) + cosh(c - a))sech(b x + c) +--R + +--R - 2cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 +--R (cosh(c - a) - 1)cosh(b x + c) +--R / +--R 2 +--R (b sinh(c - a) - b cosh(c - a))sinh(b x + c) +--R + +--R (2b cosh(b x + c)sinh(c - a) - 2b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (b cosh(b x + c) + b)sinh(c - a) - b cosh(c - a)cosh(b x + c) +--R + +--R - b cosh(c - a) +--R Type: Expression Integer +--E 422 + +--S 423 of 518 +d0980:= D(m0980,x) +--R +--R +--R (408) +--R 2 +--R (sech(b x + c)sinh(c - a) - cosh(c - a)sech(b x + c)sinh(c - a)) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 +--R 4cosh(b x + c)sech(b x + c)sinh(c - a) +--R + +--R - 4cosh(c - a)cosh(b x + c)sech(b x + c)sinh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 3)sech(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 6cosh(c - a)cosh(b x + c) - 3cosh(c - a))sech(b x + c) +--R * +--R sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (4cosh(b x + c) + 8cosh(b x + c))sech(b x + c)sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (cosh(b x + c) + 8cosh(b x + c) + 3)sech(b x + c)sinh(c - a) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R + +--R - 3cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 2 +--R (4cosh(b x + c) + 4cosh(b x + c))sech(b x + c)sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c)) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (cosh(b x + c) + 2cosh(b x + c) + 1)sech(b x + c)sinh(c - a) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R sech(b x + c)sinh(c - a) +--R * +--R tanh(b x + c) +--R + +--R 2 2 5 +--R (- 2sinh(c - a) + 4cosh(c - a)sinh(c - a) - 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 6cosh(b x + c)sinh(c - a) + 11cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R - 5cosh(c - a) cosh(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(b x + c) - 2)sinh(c - a) +--R + +--R 2 +--R (8cosh(c - a)cosh(b x + c) + 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R - 2cosh(c - a) cosh(b x + c) - 2cosh(c - a) - 2 +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 2cosh(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) + 10cosh(c - a)cosh(b x + c)) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R 4cosh(c - a) cosh(b x + c) + (- 4cosh(c - a) - 2)cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R - 6cosh(b x + c) sinh(c - a) +--R + +--R 4 2 +--R (- 4cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) ) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R 4cosh(c - a) cosh(b x + c) - 2cosh(c - a) cosh(b x + c) - 2 +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R - 2cosh(b x + c) sinh(c - a) +--R + +--R 5 3 +--R - cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 +--R cosh(c - a) cosh(b x + c) + (cosh(c - a) - 2)cosh(b x + c) +--R / +--R 6 +--R (sinh(c - a) - cosh(c - a))sinh(b x + c) +--R + +--R 5 +--R (4cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (6cosh(b x + c) + 3)sinh(c - a) - 6cosh(c - a)cosh(b x + c) +--R + +--R - 3cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) + 8cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 4cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R (cosh(b x + c) + 8cosh(b x + c) + 3)sinh(c - a) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) - 3cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) + 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 4 2 +--R (cosh(b x + c) + 2cosh(b x + c) + 1)sinh(c - a) +--R + +--R 4 2 +--R - cosh(c - a)cosh(b x + c) - 2cosh(c - a)cosh(b x + c) - cosh(c - a) +--R Type: Expression Integer +--E 423 + +--S 424 of 518 +t0981:= cosh(a+b*x)*sech(c+b*x)^3 +--R +--R +--R 3 +--R (409) cosh(b x + a)sech(b x + c) +--R Type: Expression Integer +--E 424 + +--S 425 of 518 +r0981:= -1/2*sech(c+b*x)^2*sinh(a-c)/b+cosh(a-c)*tanh(c+b*x)/b +--R +--R +--R 2 +--R 2cosh(c - a)tanh(b x + c) + sech(b x + c) sinh(c - a) +--R (410) ----------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 425 + +--S 426 of 518 +a0981:= integrate(t0981,x) +--R +--R +--R (411) +--R - 2sinh(c - a)sinh(b x + c) - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c) +--R / +--R 2 2 3 +--R (b sinh(c - a) - b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (3b cosh(b x + c)sinh(c - a) - 3b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (3b cosh(b x + c) + b)sinh(c - a) - 3b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (b cosh(b x + c) + 3b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - b cosh(c - a) cosh(b x + c) - 3b cosh(c - a) cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 426 + +--S 427 of 518 +m0981:= a0981-r0981 +--R +--R +--R (412) +--R 2 3 3 +--R (- 2cosh(c - a)sinh(c - a) + 2cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 3 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 6cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 3 2 3 +--R 6cosh(c - a) cosh(b x + c) + 2cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 +--R (- 2cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c)) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 3 3 +--R 2cosh(c - a) cosh(b x + c) + 6cosh(c - a) cosh(b x + c) +--R * +--R tanh(b x + c) +--R + +--R 2 3 2 2 +--R (- sech(b x + c) sinh(c - a) + cosh(c - a) sech(b x + c) sinh(c - a)) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 2 3 +--R - 3cosh(b x + c)sech(b x + c) sinh(c - a) +--R + +--R 2 2 +--R 3cosh(c - a) cosh(b x + c)sech(b x + c) sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 3 +--R (- 3cosh(b x + c) - 1)sech(b x + c) sinh(c - a) +--R + +--R 2 2 2 2 +--R ((3cosh(c - a) cosh(b x + c) + cosh(c - a) )sech(b x + c) - 4) +--R * +--R sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 3 +--R (- cosh(b x + c) - 3cosh(b x + c))sech(b x + c) sinh(c - a) +--R + +--R 2 3 2 +--R (cosh(c - a) cosh(b x + c) + 3cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sech(b x + c) +--R + +--R - 4cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 8cosh(c - a)cosh(b x + c) +--R / +--R 2 2 3 +--R (2b sinh(c - a) - 2b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (6b cosh(b x + c) + 2b)sinh(c - a) - 6b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2b cosh(b x + c) + 6b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 2b cosh(c - a) cosh(b x + c) - 6b cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 427 + +--S 428 of 518 +d0981:= D(m0981,x) +--R +--R +--R (413) +--R 2 3 6 +--R (cosh(c - a)sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 +--R 6cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 3 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (15cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 3 2 3 +--R - 15cosh(c - a) cosh(b x + c) - 2cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (20cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c)) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 3 3 +--R - 20cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R 15cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R cosh(c - a) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 4 3 2 +--R - 15cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R - cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R 6cosh(c - a)cosh(b x + c) + 20cosh(c - a)cosh(b x + c) +--R + +--R 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 5 3 3 +--R - 6cosh(c - a) cosh(b x + c) - 20cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 +--R cosh(c - a)cosh(b x + c) + 6cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R 9cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 6 3 4 +--R - cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 3 2 +--R - 9cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R tanh(b x + c) +--R + +--R 2 3 +--R sech(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a) sech(b x + c) sinh(c - a) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 3 +--R 6cosh(b x + c)sech(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a) cosh(b x + c)sech(b x + c) sinh(c - a) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 3 +--R (15cosh(b x + c) + 2)sech(b x + c) sinh(c - a) +--R + +--R 2 2 2 2 +--R (- 15cosh(c - a) cosh(b x + c) - 2cosh(c - a) )sech(b x + c) +--R * +--R sinh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 3 +--R (20cosh(b x + c) + 12cosh(b x + c))sech(b x + c) sinh(c - a) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sech(b x + c) sinh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 24cosh(b x + c) + 1)sech(b x + c) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - cosh(c - a) +--R * +--R 2 +--R sech(b x + c) sinh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (6cosh(b x + c) + 20cosh(b x + c) + 6cosh(b x + c)) +--R * +--R 2 3 +--R sech(b x + c) sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) - 20cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sech(b x + c) sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (cosh(b x + c) + 6cosh(b x + c) + 9cosh(b x + c) )sech(b x + c) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - 9cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sech(b x + c) sinh(c - a) +--R * +--R tanh(b x + c) +--R + +--R 2 3 6 +--R (- cosh(c - a)sinh(c - a) + cosh(c - a) )sinh(b x + c) +--R + +--R 2 3 +--R (- 6cosh(c - a)cosh(b x + c)sinh(c - a) + 6cosh(c - a) cosh(b x + c)) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 15cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 3 2 3 +--R 4sinh(c - a) + 15cosh(c - a) cosh(b x + c) + 2cosh(c - a) +--R + +--R 4cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (- 20cosh(c - a)cosh(b x + c) - 12cosh(c - a)cosh(b x + c)) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 3 +--R 16cosh(b x + c)sinh(c - a) + 20cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 12cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R - 15cosh(c - a)cosh(b x + c) - 24cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 3 4 +--R (24cosh(b x + c) + 4)sinh(c - a) + 15cosh(c - a) cosh(b x + c) +--R + +--R 3 2 3 +--R (24cosh(c - a) - 24cosh(c - a))cosh(b x + c) + cosh(c - a) +--R + +--R 4cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) - 20cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 3 3 5 +--R 16cosh(b x + c) sinh(c - a) + 6cosh(c - a) cosh(b x + c) +--R + +--R 3 3 +--R (20cosh(c - a) - 32cosh(c - a))cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) - 6cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 9cosh(c - a)cosh(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 4 2 +--R (4cosh(b x + c) - 4cosh(b x + c) )sinh(c - a) +--R + +--R 3 6 +--R cosh(c - a) cosh(b x + c) +--R + +--R 3 4 +--R (6cosh(c - a) - 12cosh(c - a))cosh(b x + c) +--R + +--R 3 2 +--R (9cosh(c - a) - 4cosh(c - a))cosh(b x + c) +--R / +--R 2 2 6 +--R (sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 5 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 2 2 +--R (15cosh(b x + c) + 2)sinh(c - a) - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 2cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (20cosh(b x + c) + 12cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) + 24cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (6cosh(b x + c) + 20cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) - 20cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (cosh(b x + c) + 6cosh(b x + c) + 9cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) - 6cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - 9cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 428 + +--S 429 of 518 +t0982:= cosh(a+b*x)*csch(c+b*x) +--R +--R +--R (414) cosh(b x + a)csch(b x + c) +--R Type: Expression Integer +--E 429 + +--S 430 of 518 +r0982:= cosh(a-c)*log(sinh(c+b*x))/b+x*sinh(a-c) +--R +--R +--R cosh(c - a)log(sinh(b x + c)) - b x sinh(c - a) +--R (415) ----------------------------------------------- +--R b +--R Type: Expression Integer +--E 430 + +--S 431 of 518 +a0982:= integrate(t0982,x) +--R +--R +--R (416) +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2sinh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 431 + +--S 432 of 518 +m0982:= a0982-r0982 +--R +--R +--R (417) +--R 2 +--R (- 2cosh(c - a)sinh(c - a) + 2cosh(c - a) )log(sinh(b x + c)) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) - 1) +--R * +--R 2sinh(b x + c) +--R log(- -----------------------------) +--R sinh(b x + c) - cosh(b x + c) +--R + +--R 2 +--R 2b x sinh(c - a) - 2b x cosh(c - a)sinh(c - a) + 2b x +--R / +--R 2b sinh(c - a) - 2b cosh(c - a) +--R Type: Expression Integer +--E 432 + +--S 433 of 518 +d0982:= D(m0982,x) +--R +--R +--R (418) +--R 2 2 +--R (sinh(c - a) - cosh(c - a) + 1)sinh(b x + c) +--R + +--R 2 2 +--R - cosh(b x + c)sinh(c - a) + (cosh(c - a) - 1)cosh(b x + c) +--R / +--R (2sinh(c - a) - 2cosh(c - a))sinh(b x + c) +--R Type: Expression Integer +--E 433 + +--S 434 of 518 +t0983:= cosh(a+b*x)*csch(c+b*x)^2 +--R +--R +--R 2 +--R (419) cosh(b x + a)csch(b x + c) +--R Type: Expression Integer +--E 434 + +--S 435 of 518 +r0983:= -cosh(a-c)*csch(c+b*x)/b-acoth(cosh(c+b*x))*sinh(a-c)/b +--R +--R +--R sinh(c - a)acoth(cosh(b x + c)) - cosh(c - a)csch(b x + c) +--R (420) ---------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 435 + +--S 436 of 518 +a0983:= integrate(t0983,x) +--R +--R +--R (421) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (cosh(c - a) - 1)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) + 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) + 1)cosh(b x + c) + cosh(c - a) - 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 +--R (2sinh(c - a) - 4cosh(c - a)sinh(c - a) + 2cosh(c - a) + 2) +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R / +--R 2 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (4b cosh(b x + c)sinh(c - a) - 4b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (2b cosh(b x + c) - 2b)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R Type: Union(Expression Integer,...) +--E 436 + +--S 437 of 518 +m0983:= a0983-r0983 +--R +--R +--R (422) +--R 2 2 +--R (sinh(c - a) - 2cosh(c - a)sinh(c - a) + cosh(c - a) - 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) - 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a) - 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (cosh(b x + c) - 1)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a)cosh(b x + c) + 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (cosh(c - a) - 1)cosh(b x + c) - cosh(c - a) + 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) + 1) +--R + +--R 2 2 +--R (- sinh(c - a) + 2cosh(c - a)sinh(c - a) - cosh(c - a) + 1) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R - 2cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- 2cosh(c - a) + 2)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- cosh(b x + c) + 1)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) + 1)cosh(b x + c) + cosh(c - a) - 1 +--R * +--R log(sinh(b x + c) + cosh(b x + c) - 1) +--R + +--R 2 2 +--R (- 2sinh(c - a) + 2cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R - 4cosh(b x + c)sinh(c - a) +--R + +--R 4cosh(c - a)cosh(b x + c)sinh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 2 2 +--R (- 2cosh(b x + c) + 2)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))sinh(c - a) +--R * +--R acoth(cosh(b x + c)) +--R + +--R 2 +--R (2cosh(c - a)csch(b x + c)sinh(c - a) - 2cosh(c - a) csch(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 +--R 2sinh(c - a) +--R + +--R (4cosh(c - a)cosh(b x + c)csch(b x + c) - 4cosh(c - a))sinh(c - a) +--R + +--R 2 2 +--R - 4cosh(c - a) cosh(b x + c)csch(b x + c) + 2cosh(c - a) + 2 +--R * +--R sinh(b x + c) +--R + +--R 2 +--R 2cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (2cosh(c - a)cosh(b x + c) - 2cosh(c - a))csch(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (- 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) )csch(b x + c) +--R + +--R 2 +--R (2cosh(c - a) + 2)cosh(b x + c) +--R / +--R 2 +--R (2b sinh(c - a) - 2b cosh(c - a))sinh(b x + c) +--R + +--R (4b cosh(b x + c)sinh(c - a) - 4b cosh(c - a)cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 +--R (2b cosh(b x + c) - 2b)sinh(c - a) - 2b cosh(c - a)cosh(b x + c) +--R + +--R 2b cosh(c - a) +--R Type: Expression Integer +--E 437 + +--S 438 of 518 +d0983:= D(m0983,x) +--R +--R +--R (423) +--R 2 5 +--R (sinh(c - a) - cosh(c - a)sinh(c - a))sinh(b x + c) +--R + +--R 2 +--R 4cosh(b x + c)sinh(c - a) +--R + +--R 2 +--R (- cosh(c - a)cosh(b x + c) + cosh(c - a))coth(b x + c) +--R * +--R csch(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 2 2 +--R (cosh(c - a) cosh(b x + c) - cosh(c - a) )coth(b x + c)csch(b x + c) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 2 2 +--R 4cosh(b x + c) sinh(c - a) +--R + +--R 3 +--R (- 4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 +--R - 2cosh(c - a)cosh(b x + c) - 2cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 3 2 +--R (4cosh(c - a) cosh(b x + c) - 4cosh(c - a) cosh(b x + c)) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 2 2 +--R - 2cosh(c - a) cosh(b x + c) + 2cosh(c - a) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 2 +--R (- 2cosh(b x + c) + 2cosh(b x + c))sinh(c - a) +--R + +--R 4 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 3 +--R 8cosh(c - a)cosh(b x + c) - 8cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 4 2 2 +--R 6cosh(c - a) cosh(b x + c) - 8cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 2cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 3 2 +--R - 6cosh(c - a) cosh(b x + c) + 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (- 5cosh(b x + c) + 4cosh(b x + c) + 1)sinh(c - a) +--R + +--R 5 3 +--R - 4cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R 11cosh(c - a)cosh(b x + c) - 10cosh(c - a)cosh(b x + c) +--R + +--R - cosh(c - a) +--R * +--R sinh(c - a) +--R + +--R 2 5 2 3 +--R 4cosh(c - a) cosh(b x + c) - 8cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 4cosh(c - a) cosh(b x + c) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 4 2 2 +--R - 6cosh(c - a) cosh(b x + c) + (6cosh(c - a) - 2)cosh(b x + c) + 2 +--R * +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (- 2cosh(b x + c) + 2cosh(b x + c) )sinh(c - a) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) + 3cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 3cosh(c - a)cosh(b x + c) + cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 5 3 +--R 4cosh(c - a)cosh(b x + c) - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 2 6 2 4 +--R cosh(c - a) cosh(b x + c) - 3cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R 3cosh(c - a) cosh(b x + c) - cosh(c - a) +--R * +--R coth(b x + c)csch(b x + c) +--R + +--R 2 5 2 3 +--R - 2cosh(c - a) cosh(b x + c) + (2cosh(c - a) - 2)cosh(b x + c) +--R + +--R 2cosh(b x + c) +--R / +--R 2 2 +--R (cosh(b x + c) - 1)sinh(c - a) - cosh(c - a)cosh(b x + c) +--R + +--R cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 +--R (4cosh(b x + c) - 4cosh(b x + c))sinh(c - a) +--R + +--R 3 +--R - 4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 +--R (6cosh(b x + c) - 8cosh(b x + c) + 2)sinh(c - a) +--R + +--R 4 2 +--R - 6cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 2cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (4cosh(b x + c) - 8cosh(b x + c) + 4cosh(b x + c))sinh(c - a) +--R + +--R 5 3 +--R - 4cosh(c - a)cosh(b x + c) + 8cosh(c - a)cosh(b x + c) +--R + +--R - 4cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 +--R (cosh(b x + c) - 3cosh(b x + c) + 3cosh(b x + c) - 1)sinh(c - a) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) + 3cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - 3cosh(c - a)cosh(b x + c) + cosh(c - a) +--R Type: Expression Integer +--E 438 + +--S 439 of 518 +t0984:= cosh(a+b*x)*csch(c+b*x)^3 +--R +--R +--R 3 +--R (424) cosh(b x + a)csch(b x + c) +--R Type: Expression Integer +--E 439 + +--S 440 of 518 +r0984:= -1/2*cosh(a-c)*csch(c+b*x)^2/b-coth(c+b*x)*sinh(a-c)/b +--R +--R +--R 2 +--R 2coth(b x + c)sinh(c - a) - cosh(c - a)csch(b x + c) +--R (425) ----------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 440 + +--S 441 of 518 +a0984:= integrate(t0984,x) +--R +--R +--R (426) +--R (- 4sinh(c - a) + 2cosh(c - a))sinh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R / +--R 2 2 3 +--R (b sinh(c - a) - b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (3b cosh(b x + c)sinh(c - a) - 3b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (3b cosh(b x + c) - 3b)sinh(c - a) - 3b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 3b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (b cosh(b x + c) - b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - b cosh(c - a) cosh(b x + c) + b cosh(c - a) cosh(b x + c) +--R Type: Union(Expression Integer,...) +--E 441 + +--S 442 of 518 +m0984:= a0984-r0984 +--R +--R +--R (427) +--R 3 2 2 +--R - 2coth(b x + c)sinh(c - a) + cosh(c - a)csch(b x + c) sinh(c - a) +--R + +--R 2 3 2 +--R 2cosh(c - a) coth(b x + c)sinh(c - a) - cosh(c - a) csch(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 3 +--R - 6cosh(b x + c)coth(b x + c)sinh(c - a) +--R + +--R 2 2 +--R 3cosh(c - a)cosh(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 +--R 6cosh(c - a) cosh(b x + c)coth(b x + c)sinh(c - a) +--R + +--R 3 2 +--R - 3cosh(c - a) cosh(b x + c)csch(b x + c) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 3 +--R (- 6cosh(b x + c) + 6)coth(b x + c)sinh(c - a) +--R + +--R 2 2 2 +--R (3cosh(c - a)cosh(b x + c) - 3cosh(c - a))csch(b x + c) sinh(c - a) +--R + +--R 2 2 2 +--R ((6cosh(c - a) cosh(b x + c) - 6cosh(c - a) )coth(b x + c) - 8) +--R * +--R sinh(c - a) +--R + +--R 3 2 3 2 +--R (- 3cosh(c - a) cosh(b x + c) + 3cosh(c - a) )csch(b x + c) +--R + +--R 4cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 3 +--R (- 2cosh(b x + c) + 2cosh(b x + c))coth(b x + c)sinh(c - a) +--R + +--R 3 2 +--R (cosh(c - a)cosh(b x + c) - cosh(c - a)cosh(b x + c))csch(b x + c) +--R * +--R 2 +--R sinh(c - a) +--R + +--R 2 3 2 +--R (2cosh(c - a) cosh(b x + c) - 2cosh(c - a) cosh(b x + c))coth(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 3 3 2 +--R (- cosh(c - a) cosh(b x + c) + cosh(c - a) cosh(b x + c))csch(b x + c) +--R + +--R 4cosh(c - a)cosh(b x + c) +--R / +--R 2 2 3 +--R (2b sinh(c - a) - 2b cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 +--R (6b cosh(b x + c)sinh(c - a) - 6b cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 2 2 2 2 +--R (6b cosh(b x + c) - 6b)sinh(c - a) - 6b cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6b cosh(c - a) +--R * +--R sinh(b x + c) +--R + +--R 3 2 +--R (2b cosh(b x + c) - 2b cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 2b cosh(c - a) cosh(b x + c) + 2b cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 442 + +--S 443 of 518 +d0984:= D(m0984,x) +--R +--R +--R (428) +--R 2 3 +--R (coth(b x + c) - 1)sinh(c - a) +--R + +--R 2 2 +--R - cosh(c - a)coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 2 2 +--R (- cosh(c - a) coth(b x + c) + cosh(c - a) )sinh(c - a) +--R + +--R 3 2 +--R cosh(c - a) coth(b x + c)csch(b x + c) +--R * +--R 6 +--R sinh(b x + c) +--R + +--R 2 3 +--R (6cosh(b x + c)coth(b x + c) - 6cosh(b x + c))sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a)cosh(b x + c)coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 2 +--R - 6cosh(c - a) cosh(b x + c)coth(b x + c) +--R + +--R 2 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 2 +--R 6cosh(c - a) cosh(b x + c)coth(b x + c)csch(b x + c) +--R * +--R 5 +--R sinh(b x + c) +--R + +--R 2 2 2 +--R ((15cosh(b x + c) - 6)coth(b x + c) - 15cosh(b x + c) + 6) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 2 +--R (- 15cosh(c - a)cosh(b x + c) + 6cosh(c - a))coth(b x + c) +--R * +--R 2 2 +--R csch(b x + c) sinh(c - a) +--R + +--R 2 2 2 2 +--R (- 15cosh(c - a) cosh(b x + c) + 6cosh(c - a) )coth(b x + c) +--R + +--R 2 2 2 +--R 15cosh(c - a) cosh(b x + c) - 6cosh(c - a) + 12 +--R * +--R sinh(c - a) +--R + +--R 3 2 3 +--R (15cosh(c - a) cosh(b x + c) - 6cosh(c - a) )coth(b x + c) +--R * +--R 2 +--R csch(b x + c) +--R + +--R - 4cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (20cosh(b x + c) - 20cosh(b x + c))coth(b x + c) +--R + +--R 3 +--R - 20cosh(b x + c) + 20cosh(b x + c) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 3 +--R (- 20cosh(c - a)cosh(b x + c) + 20cosh(c - a)cosh(b x + c)) +--R * +--R 2 2 +--R coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 3 2 +--R (- 20cosh(c - a) cosh(b x + c) + 20cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 2 3 2 +--R 20cosh(c - a) cosh(b x + c) + (- 20cosh(c - a) + 32)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 3 3 +--R (20cosh(c - a) cosh(b x + c) - 20cosh(c - a) cosh(b x + c)) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R - 16cosh(c - a)cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 24cosh(b x + c) + 9)coth(b x + c) +--R + +--R 4 2 +--R - 15cosh(b x + c) + 24cosh(b x + c) - 9 +--R * +--R 3 +--R sinh(c - a) +--R + +--R 4 2 +--R - 15cosh(c - a)cosh(b x + c) + 24cosh(c - a)cosh(b x + c) +--R + +--R - 9cosh(c - a) +--R * +--R 2 2 +--R coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 9cosh(c - a) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 2 4 +--R 15cosh(c - a) cosh(b x + c) +--R + +--R 2 2 2 +--R (- 24cosh(c - a) + 24)cosh(b x + c) + 9cosh(c - a) - 4 +--R * +--R sinh(c - a) +--R + +--R 3 4 3 2 +--R 15cosh(c - a) cosh(b x + c) - 24cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 9cosh(c - a) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 2 +--R - 24cosh(c - a)cosh(b x + c) - 4cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 +--R (6cosh(b x + c) - 12cosh(b x + c) + 6cosh(b x + c)) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 5 3 +--R - 6cosh(b x + c) + 12cosh(b x + c) - 6cosh(b x + c) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 5 3 +--R - 6cosh(c - a)cosh(b x + c) + 12cosh(c - a)cosh(b x + c) +--R + +--R - 6cosh(c - a)cosh(b x + c) +--R * +--R 2 2 +--R coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 2 5 2 3 +--R 6cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 5 3 3 +--R 6cosh(c - a) cosh(b x + c) - 12cosh(c - a) cosh(b x + c) +--R + +--R 3 +--R 6cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 3 +--R - 16cosh(c - a)cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (cosh(b x + c) - 2cosh(b x + c) + cosh(b x + c) )coth(b x + c) +--R + +--R 6 4 2 +--R - cosh(b x + c) + 2cosh(b x + c) - cosh(b x + c) +--R * +--R 3 +--R sinh(c - a) +--R + +--R 6 4 +--R - cosh(c - a)cosh(b x + c) + 2cosh(c - a)cosh(b x + c) +--R + +--R 2 +--R - cosh(c - a)cosh(b x + c) +--R * +--R 2 2 +--R coth(b x + c)csch(b x + c) sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c) +--R + +--R 2 6 2 4 +--R cosh(c - a) cosh(b x + c) + (- 2cosh(c - a) - 4)cosh(b x + c) +--R + +--R 2 2 +--R (cosh(c - a) + 4)cosh(b x + c) +--R * +--R sinh(c - a) +--R + +--R 3 6 3 4 +--R cosh(c - a) cosh(b x + c) - 2cosh(c - a) cosh(b x + c) +--R + +--R 3 2 +--R cosh(c - a) cosh(b x + c) +--R * +--R 2 +--R coth(b x + c)csch(b x + c) +--R + +--R 4 2 +--R - 4cosh(c - a)cosh(b x + c) + 4cosh(c - a)cosh(b x + c) +--R / +--R 2 2 6 +--R (sinh(c - a) - cosh(c - a) )sinh(b x + c) +--R + +--R 2 2 5 +--R (6cosh(b x + c)sinh(c - a) - 6cosh(c - a) cosh(b x + c))sinh(b x + c) +--R + +--R 2 2 2 2 +--R (15cosh(b x + c) - 6)sinh(c - a) - 15cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R 6cosh(c - a) +--R * +--R 4 +--R sinh(b x + c) +--R + +--R 3 2 +--R (20cosh(b x + c) - 20cosh(b x + c))sinh(c - a) +--R + +--R 2 3 2 +--R - 20cosh(c - a) cosh(b x + c) + 20cosh(c - a) cosh(b x + c) +--R * +--R 3 +--R sinh(b x + c) +--R + +--R 4 2 2 +--R (15cosh(b x + c) - 24cosh(b x + c) + 9)sinh(c - a) +--R + +--R 2 4 2 2 +--R - 15cosh(c - a) cosh(b x + c) + 24cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 9cosh(c - a) +--R * +--R 2 +--R sinh(b x + c) +--R + +--R 5 3 2 +--R (6cosh(b x + c) - 12cosh(b x + c) + 6cosh(b x + c))sinh(c - a) +--R + +--R 2 5 2 3 +--R - 6cosh(c - a) cosh(b x + c) + 12cosh(c - a) cosh(b x + c) +--R + +--R 2 +--R - 6cosh(c - a) cosh(b x + c) +--R * +--R sinh(b x + c) +--R + +--R 6 4 2 2 +--R (cosh(b x + c) - 2cosh(b x + c) + cosh(b x + c) )sinh(c - a) +--R + +--R 2 6 2 4 +--R - cosh(c - a) cosh(b x + c) + 2cosh(c - a) cosh(b x + c) +--R + +--R 2 2 +--R - cosh(c - a) cosh(b x + c) +--R Type: Expression Integer +--E 443 + +--S 444 of 518 +t0985:= sinh(x)^2/(a+b*sinh(2*x)) +--R +--R +--R 2 +--R sinh(x) +--R (429) -------------- +--R b sinh(2x) + a +--R Type: Expression Integer +--E 444 + +--S 445 of 518 +r0985:= 1/2*atanh((b-a*tanh(x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(1/2)+_ + 1/4*log(a+b*sinh(2*x))/b +--R +--R +--R +-------+ +--R | 2 2 a tanh(x) - b +--R \|b + a log(b sinh(2x) + a) - 2b atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R (430) ------------------------------------------------------- +--R +-------+ +--R | 2 2 +--R 4b\|b + a +--R Type: Expression Integer +--E 445 + +--S 446 of 518 +a0985:= integrate(t0985,x) +--R +--R +--R (431) +--R b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6b cosh(x) + 2a b)sinh(x) +--R + +--R 2 3 2 4 +--R (4b cosh(x) + 4a b cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R (2b + 2a b)sinh(x) + (4b + 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 +--R (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4a cosh(x))sinh(x) + b cosh(x) + 2a cosh(x) - b +--R + +--R +-------+ +-------+ +--R | 2 2 4b cosh(x)sinh(x) + 2a | 2 2 +--R \|b + a log(-------------------------------------) - 2x\|b + a +--R 2 2 +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R / +--R +-------+ +--R | 2 2 +--R 4b\|b + a +--R Type: Union(Expression Integer,...) +--E 446 + +--S 447 of 518 +m0985:= a0985-r0985 +--R +--R +--R (432) +--R b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6b cosh(x) + 2a b)sinh(x) +--R + +--R 2 3 2 4 +--R (4b cosh(x) + 4a b cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R (2b + 2a b)sinh(x) + (4b + 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 +--R (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4a cosh(x))sinh(x) + b cosh(x) + 2a cosh(x) - b +--R + +--R +-------+ +--R | 2 2 +--R - \|b + a log(b sinh(2x) + a) +--R + +--R +-------+ +--R | 2 2 4b cosh(x)sinh(x) + 2a +--R \|b + a log(-------------------------------------) +--R 2 2 +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-------+ +--R a tanh(x) - b | 2 2 +--R 2b atanh(-------------) - 2x\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R | 2 2 +--R 4b\|b + a +--R Type: Expression Integer +--E 447 + +--S 448 of 518 +d0985:= D(m0985,x) +--R +--R +--R (433) +--R 2 6 3 2 5 +--R a b sinh(x) + (2b + 4a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 4 +--R ((8b + 7a b )cosh(x) + a b + 2a b)sinh(x) +--R + +--R 3 2 3 2 2 3 +--R ((12b + 8a b )cosh(x) + (4a b + 4a b)cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 2 2 2 +--R ((8b + 7a b )cosh(x) + (6a b + 4a b)cosh(x) - a b )sinh(x) +--R + +--R 3 2 5 2 2 3 3 +--R ((2b + 4a b )cosh(x) + (4a b + 4a b)cosh(x) - 2b cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 2 2 2 +--R a b cosh(x) + (a b + 2a b)cosh(x) - a b cosh(x) - a b +--R * +--R sinh(2x) +--R + +--R 2 6 +--R a b sinh(x) +--R + +--R 2 2 2 5 +--R (- 2a b cosh(x)cosh(2x) + (2a b + 4a b)cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 2 +--R (- 8a b cosh(x) - a b)cosh(2x) + (8a b + 7a b)cosh(x) + a b +--R + +--R 3 +--R 2a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (- 12a b cosh(x) - 8a b cosh(x))cosh(2x) +--R + +--R 2 2 3 2 3 +--R (12a b + 8a b)cosh(x) + (4a b + 4a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 3 +--R (- 8a b cosh(x) - 14a b cosh(x) - 2a )cosh(2x) +--R + +--R 2 2 4 2 3 2 2 +--R (8a b + 7a b)cosh(x) + (6a b + 4a )cosh(x) - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 3 +--R (- 2a b cosh(x) - 8a b cosh(x) + (2a b - 4a )cosh(x))cosh(2x) +--R + +--R 2 2 5 2 3 3 2 +--R (2a b + 4a b)cosh(x) + (4a b + 4a )cosh(x) - 2a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 6 +--R (- a b cosh(x) - 2a cosh(x) + a b)cosh(2x) + a b cosh(x) +--R + +--R 2 3 4 2 2 2 +--R (a b + 2a )cosh(x) - a b cosh(x) - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 6 3 5 +--R - 2b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 3 2 2 4 +--R (- 14b cosh(x) - 4a b )sinh(x) +--R + +--R 3 3 3 2 3 +--R (- 16b cosh(x) + (8b - 8a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 2 +--R (- 14b cosh(x) + (16b - 8a b )cosh(x) + 2b + 4a b )sinh(x) +--R + +--R 3 5 3 2 3 2 +--R (- 8b cosh(x) + (8b - 8a b )cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 3 6 2 4 3 2 2 +--R - 2b cosh(x) - 4a b cosh(x) + (2b + 4a b )cosh(x) +--R * +--R sinh(2x) +--R + +--R 2 6 3 2 5 +--R - 2a b sinh(x) + (4b cosh(x)cosh(2x) - 8a b cosh(x))sinh(x) +--R + +--R 3 2 2 2 2 2 4 +--R ((16b cosh(x) + 2a b )cosh(2x) - 14a b cosh(x) - 4a b)sinh(x) +--R + +--R 3 3 2 2 3 +--R (24b cosh(x) + 16a b cosh(x))cosh(2x) - 16a b cosh(x) +--R + +--R 2 2 +--R (8a b - 8a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 2 2 2 4 +--R (16b cosh(x) + 28a b cosh(x) + 4a b)cosh(2x) - 14a b cosh(x) +--R + +--R 2 2 2 2 2 +--R (16a b - 8a b)cosh(x) + 2a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 3 3 2 +--R (4b cosh(x) + 16a b cosh(x) + (- 4b + 8a b)cosh(x))cosh(2x) +--R + +--R 2 5 2 2 3 2 +--R - 8a b cosh(x) + (8a b - 8a b)cosh(x) + 8a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 2 6 +--R (2a b cosh(x) + 4a b cosh(x) - 2a b )cosh(2x) - 2a b cosh(x) +--R + +--R 2 4 2 2 2 +--R - 4a b cosh(x) + (2a b + 4a b)cosh(x) +--R * +--R tanh(x) +--R + +--R 2 6 3 2 5 +--R - a b sinh(x) + (- 2b - 4a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 4 +--R ((- 8b - 7a b )cosh(x) - a b - 2a b)sinh(x) +--R + +--R 3 2 3 2 2 3 +--R ((- 12b - 8a b )cosh(x) + (- 4a b - 4a b)cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 2 2 2 +--R ((- 8b - 7a b )cosh(x) + (- 6a b - 4a b)cosh(x) + a b )sinh(x) +--R + +--R 3 2 5 2 2 3 3 +--R ((- 2b - 4a b )cosh(x) + (- 4a b - 4a b)cosh(x) + 2b cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 2 2 2 +--R - a b cosh(x) + (- a b - 2a b)cosh(x) + a b cosh(x) + a b +--R * +--R sinh(2x) +--R + +--R 2 6 2 2 2 5 +--R - a b sinh(x) + (2a b cosh(x)cosh(2x) + (- 2a b - 4a b)cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 2 3 +--R ((8a b cosh(x) + a b)cosh(2x) + (- 8a b - 7a b)cosh(x) - a b - 2a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 2 2 3 +--R (12a b cosh(x) + 8a b cosh(x))cosh(2x) + (- 12a b - 8a b)cosh(x) +--R + +--R 2 3 +--R (- 4a b - 4a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 3 +--R (8a b cosh(x) + 14a b cosh(x) + 2a )cosh(2x) +--R + +--R 2 2 4 2 3 2 2 +--R (- 8a b - 7a b)cosh(x) + (- 6a b - 4a )cosh(x) + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 3 +--R (2a b cosh(x) + 8a b cosh(x) + (- 2a b + 4a )cosh(x))cosh(2x) +--R + +--R 2 2 5 2 3 3 2 +--R (- 2a b - 4a b)cosh(x) + (- 4a b - 4a )cosh(x) + 2a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 6 +--R (a b cosh(x) + 2a cosh(x) - a b)cosh(2x) - a b cosh(x) +--R + +--R 2 3 4 2 2 2 +--R (- a b - 2a )cosh(x) + a b cosh(x) + a b +--R / +--R 3 5 3 2 2 2 4 +--R 4a b cosh(x)sinh(x) + (16a b cosh(x) + 2a b )sinh(x) +--R + +--R 3 3 2 2 3 +--R (24a b cosh(x) + 16a b cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 2 +--R (16a b cosh(x) + 28a b cosh(x) + 4a b)sinh(x) +--R + +--R 3 5 2 2 3 3 3 +--R (4a b cosh(x) + 16a b cosh(x) + (- 4a b + 8a b)cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R 2a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R sinh(2x) +--R + +--R 2 2 5 2 2 2 3 4 +--R 4a b cosh(x)sinh(x) + (16a b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 3 3 3 +--R (24a b cosh(x) + 16a b cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 4 2 +--R (16a b cosh(x) + 28a b cosh(x) + 4a )sinh(x) +--R + +--R 2 2 5 3 3 2 2 4 +--R (4a b cosh(x) + 16a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) +--R + +--R 3 4 4 2 3 +--R 2a b cosh(x) + 4a cosh(x) - 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 5 4 2 3 4 +--R - 8b cosh(x)sinh(x) + (- 32b cosh(x) - 4a b )sinh(x) +--R + +--R 4 3 3 3 +--R (- 48b cosh(x) - 32a b cosh(x))sinh(x) +--R + +--R 4 4 3 2 2 2 2 +--R (- 32b cosh(x) - 56a b cosh(x) - 8a b )sinh(x) +--R + +--R 4 5 3 3 4 2 2 +--R (- 8b cosh(x) - 32a b cosh(x) + (8b - 16a b )cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 +--R - 4a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R sinh(2x) +--R + +--R 3 5 3 2 2 2 4 +--R - 8a b cosh(x)sinh(x) + (- 32a b cosh(x) - 4a b )sinh(x) +--R + +--R 3 3 2 2 3 +--R (- 48a b cosh(x) - 32a b cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 2 +--R (- 32a b cosh(x) - 56a b cosh(x) - 8a b)sinh(x) +--R + +--R 3 5 2 2 3 3 3 +--R (- 8a b cosh(x) - 32a b cosh(x) + (8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R - 4a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R tanh(x) +--R + +--R 3 5 3 2 2 2 4 +--R - 4a b cosh(x)sinh(x) + (- 16a b cosh(x) - 2a b )sinh(x) +--R + +--R 3 3 2 2 3 +--R (- 24a b cosh(x) - 16a b cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 2 +--R (- 16a b cosh(x) - 28a b cosh(x) - 4a b)sinh(x) +--R + +--R 3 5 2 2 3 3 3 +--R (- 4a b cosh(x) - 16a b cosh(x) + (4a b - 8a b)cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R - 2a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R sinh(2x) +--R + +--R 2 2 5 2 2 2 3 4 +--R - 4a b cosh(x)sinh(x) + (- 16a b cosh(x) - 2a b)sinh(x) +--R + +--R 2 2 3 3 3 +--R (- 24a b cosh(x) - 16a b cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 4 2 +--R (- 16a b cosh(x) - 28a b cosh(x) - 4a )sinh(x) +--R + +--R 2 2 5 3 3 2 2 4 +--R (- 4a b cosh(x) - 16a b cosh(x) + (4a b - 8a )cosh(x))sinh(x) +--R + +--R 3 4 4 2 3 +--R - 2a b cosh(x) - 4a cosh(x) + 2a b +--R Type: Expression Integer +--E 448 + +--S 449 of 518 +t0986:= cosh(x)^2/(a+b*sinh(2*x)) +--R +--R +--R 2 +--R cosh(x) +--R (434) -------------- +--R b sinh(2x) + a +--R Type: Expression Integer +--E 449 + +--S 450 of 518 +r0986:= -1/2*atanh((b-a*tanh(x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(1/2)+_ + 1/4*log(a+b*sinh(2*x))/b +--R +--R +--R +-------+ +--R | 2 2 a tanh(x) - b +--R \|b + a log(b sinh(2x) + a) + 2b atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R (435) ------------------------------------------------------- +--R +-------+ +--R | 2 2 +--R 4b\|b + a +--R Type: Expression Integer +--E 450 + +--S 451 of 518 +a0986:= integrate(t0986,x) +--R +--R +--R (436) +--R b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6b cosh(x) + 2a b)sinh(x) +--R + +--R 2 3 2 4 +--R (4b cosh(x) + 4a b cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 +--R (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4a cosh(x))sinh(x) + b cosh(x) + 2a cosh(x) - b +--R + +--R +-------+ +-------+ +--R | 2 2 4b cosh(x)sinh(x) + 2a | 2 2 +--R \|b + a log(-------------------------------------) - 2x\|b + a +--R 2 2 +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R / +--R +-------+ +--R | 2 2 +--R 4b\|b + a +--R Type: Union(Expression Integer,...) +--E 451 + +--S 452 of 518 +m0986:= a0986-r0986 +--R +--R +--R (437) +--R b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6b cosh(x) + 2a b)sinh(x) +--R + +--R 2 3 2 4 +--R (4b cosh(x) + 4a b cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R (- 2b - 2a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 +--R (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) + 4a cosh(x))sinh(x) + b cosh(x) + 2a cosh(x) - b +--R + +--R +-------+ +--R | 2 2 +--R - \|b + a log(b sinh(2x) + a) +--R + +--R +-------+ +--R | 2 2 4b cosh(x)sinh(x) + 2a +--R \|b + a log(-------------------------------------) +--R 2 2 +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R +-------+ +--R a tanh(x) - b | 2 2 +--R - 2b atanh(-------------) - 2x\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R | 2 2 +--R 4b\|b + a +--R Type: Expression Integer +--E 452 + +--S 453 of 518 +d0986:= D(m0986,x) +--R +--R +--R (438) +--R 2 6 3 2 5 +--R a b sinh(x) + (- 2b + 4a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 4 +--R ((- 8b + 7a b )cosh(x) - a b + 2a b)sinh(x) +--R + +--R 3 2 3 2 2 3 +--R ((- 12b + 8a b )cosh(x) + (- 4a b + 4a b)cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 2 2 +--R ((- 8b + 7a b )cosh(x) + (- 6a b + 4a b)cosh(x) - a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 2 3 +--R (- 2b + 4a b )cosh(x) + (- 4a b + 4a b)cosh(x) +--R + +--R 3 +--R 2b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 2 2 4 2 2 2 +--R a b cosh(x) + (- a b + 2a b)cosh(x) - a b cosh(x) + a b +--R * +--R sinh(2x) +--R + +--R 2 6 +--R a b sinh(x) +--R + +--R 2 2 2 5 +--R (- 2a b cosh(x)cosh(2x) + (- 2a b + 4a b)cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 2 +--R (- 8a b cosh(x) - a b)cosh(2x) + (- 8a b + 7a b)cosh(x) - a b +--R + +--R 3 +--R 2a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 +--R (- 12a b cosh(x) - 8a b cosh(x))cosh(2x) +--R + +--R 2 2 3 2 3 +--R (- 12a b + 8a b)cosh(x) + (- 4a b + 4a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 3 +--R (- 8a b cosh(x) - 14a b cosh(x) - 2a )cosh(2x) +--R + +--R 2 2 4 2 3 2 2 +--R (- 8a b + 7a b)cosh(x) + (- 6a b + 4a )cosh(x) - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 3 +--R (- 2a b cosh(x) - 8a b cosh(x) + (2a b - 4a )cosh(x))cosh(2x) +--R + +--R 2 2 5 2 3 3 2 +--R (- 2a b + 4a b)cosh(x) + (- 4a b + 4a )cosh(x) + 2a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 6 +--R (- a b cosh(x) - 2a cosh(x) + a b)cosh(2x) + a b cosh(x) +--R + +--R 2 3 4 2 2 2 +--R (- a b + 2a )cosh(x) - a b cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 6 3 5 +--R - 2b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 3 2 2 4 +--R (- 14b cosh(x) - 4a b )sinh(x) +--R + +--R 3 3 3 2 3 +--R (- 16b cosh(x) + (- 8b - 8a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 3 2 2 +--R (- 14b cosh(x) + (- 16b - 8a b )cosh(x) + 2b - 4a b )sinh(x) +--R + +--R 3 5 3 2 3 2 +--R (- 8b cosh(x) + (- 8b - 8a b )cosh(x) - 8a b cosh(x))sinh(x) +--R + +--R 3 6 2 4 3 2 2 +--R - 2b cosh(x) - 4a b cosh(x) + (2b - 4a b )cosh(x) +--R * +--R sinh(2x) +--R + +--R 2 6 3 2 5 +--R - 2a b sinh(x) + (4b cosh(x)cosh(2x) - 8a b cosh(x))sinh(x) +--R + +--R 3 2 2 2 2 2 4 +--R ((16b cosh(x) + 2a b )cosh(2x) - 14a b cosh(x) - 4a b)sinh(x) +--R + +--R 3 3 2 2 3 +--R (24b cosh(x) + 16a b cosh(x))cosh(2x) - 16a b cosh(x) +--R + +--R 2 2 +--R (- 8a b - 8a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 2 2 2 4 +--R (16b cosh(x) + 28a b cosh(x) + 4a b)cosh(2x) - 14a b cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 16a b - 8a b)cosh(x) + 2a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 3 3 2 +--R (4b cosh(x) + 16a b cosh(x) + (- 4b + 8a b)cosh(x))cosh(2x) +--R + +--R 2 5 2 2 3 2 +--R - 8a b cosh(x) + (- 8a b - 8a b)cosh(x) - 8a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 2 6 +--R (2a b cosh(x) + 4a b cosh(x) - 2a b )cosh(2x) - 2a b cosh(x) +--R + +--R 2 4 2 2 2 +--R - 4a b cosh(x) + (2a b - 4a b)cosh(x) +--R * +--R tanh(x) +--R + +--R 2 6 3 2 5 +--R - a b sinh(x) + (2b - 4a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 4 +--R ((8b - 7a b )cosh(x) + a b - 2a b)sinh(x) +--R + +--R 3 2 3 2 2 3 +--R ((12b - 8a b )cosh(x) + (4a b - 4a b)cosh(x))sinh(x) +--R + +--R 3 2 4 2 2 2 2 2 +--R ((8b - 7a b )cosh(x) + (6a b - 4a b)cosh(x) + a b )sinh(x) +--R + +--R 3 2 5 2 2 3 3 +--R ((2b - 4a b )cosh(x) + (4a b - 4a b)cosh(x) - 2b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 2 +--R - a b cosh(x) + (a b - 2a b)cosh(x) + a b cosh(x) - a b +--R * +--R sinh(2x) +--R + +--R 2 6 2 2 2 5 +--R - a b sinh(x) + (2a b cosh(x)cosh(2x) + (2a b - 4a b)cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 2 3 +--R ((8a b cosh(x) + a b)cosh(2x) + (8a b - 7a b)cosh(x) + a b - 2a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 2 2 2 3 +--R (12a b cosh(x) + 8a b cosh(x))cosh(2x) + (12a b - 8a b)cosh(x) +--R + +--R 2 3 +--R (4a b - 4a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 2 2 3 +--R (8a b cosh(x) + 14a b cosh(x) + 2a )cosh(2x) +--R + +--R 2 2 4 2 3 2 2 +--R (8a b - 7a b)cosh(x) + (6a b - 4a )cosh(x) + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 2 3 2 3 +--R (2a b cosh(x) + 8a b cosh(x) + (- 2a b + 4a )cosh(x))cosh(2x) +--R + +--R 2 2 5 2 3 3 2 +--R (2a b - 4a b)cosh(x) + (4a b - 4a )cosh(x) - 2a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 6 +--R (a b cosh(x) + 2a cosh(x) - a b)cosh(2x) - a b cosh(x) +--R + +--R 2 3 4 2 2 2 +--R (a b - 2a )cosh(x) + a b cosh(x) - a b +--R / +--R 3 5 3 2 2 2 4 +--R 4a b cosh(x)sinh(x) + (16a b cosh(x) + 2a b )sinh(x) +--R + +--R 3 3 2 2 3 +--R (24a b cosh(x) + 16a b cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 2 +--R (16a b cosh(x) + 28a b cosh(x) + 4a b)sinh(x) +--R + +--R 3 5 2 2 3 3 3 +--R (4a b cosh(x) + 16a b cosh(x) + (- 4a b + 8a b)cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R 2a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R sinh(2x) +--R + +--R 2 2 5 2 2 2 3 4 +--R 4a b cosh(x)sinh(x) + (16a b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 3 3 3 +--R (24a b cosh(x) + 16a b cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 4 2 +--R (16a b cosh(x) + 28a b cosh(x) + 4a )sinh(x) +--R + +--R 2 2 5 3 3 2 2 4 +--R (4a b cosh(x) + 16a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) +--R + +--R 3 4 4 2 3 +--R 2a b cosh(x) + 4a cosh(x) - 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 5 4 2 3 4 +--R - 8b cosh(x)sinh(x) + (- 32b cosh(x) - 4a b )sinh(x) +--R + +--R 4 3 3 3 +--R (- 48b cosh(x) - 32a b cosh(x))sinh(x) +--R + +--R 4 4 3 2 2 2 2 +--R (- 32b cosh(x) - 56a b cosh(x) - 8a b )sinh(x) +--R + +--R 4 5 3 3 4 2 2 +--R (- 8b cosh(x) - 32a b cosh(x) + (8b - 16a b )cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 +--R - 4a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R sinh(2x) +--R + +--R 3 5 3 2 2 2 4 +--R - 8a b cosh(x)sinh(x) + (- 32a b cosh(x) - 4a b )sinh(x) +--R + +--R 3 3 2 2 3 +--R (- 48a b cosh(x) - 32a b cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 2 +--R (- 32a b cosh(x) - 56a b cosh(x) - 8a b)sinh(x) +--R + +--R 3 5 2 2 3 3 3 +--R (- 8a b cosh(x) - 32a b cosh(x) + (8a b - 16a b)cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R - 4a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R tanh(x) +--R + +--R 3 5 3 2 2 2 4 +--R - 4a b cosh(x)sinh(x) + (- 16a b cosh(x) - 2a b )sinh(x) +--R + +--R 3 3 2 2 3 +--R (- 24a b cosh(x) - 16a b cosh(x))sinh(x) +--R + +--R 3 4 2 2 2 3 2 +--R (- 16a b cosh(x) - 28a b cosh(x) - 4a b)sinh(x) +--R + +--R 3 5 2 2 3 3 3 +--R (- 4a b cosh(x) - 16a b cosh(x) + (4a b - 8a b)cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 2 2 +--R - 2a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R sinh(2x) +--R + +--R 2 2 5 2 2 2 3 4 +--R - 4a b cosh(x)sinh(x) + (- 16a b cosh(x) - 2a b)sinh(x) +--R + +--R 2 2 3 3 3 +--R (- 24a b cosh(x) - 16a b cosh(x))sinh(x) +--R + +--R 2 2 4 3 2 4 2 +--R (- 16a b cosh(x) - 28a b cosh(x) - 4a )sinh(x) +--R + +--R 2 2 5 3 3 2 2 4 +--R (- 4a b cosh(x) - 16a b cosh(x) + (4a b - 8a )cosh(x))sinh(x) +--R + +--R 3 4 4 2 3 +--R - 2a b cosh(x) - 4a cosh(x) + 2a b +--R Type: Expression Integer +--E 453 + +--S 454 of 518 +t0987:= tanh(2*x)*sinh(x) +--R +--R +--R (439) sinh(x)tanh(2x) +--R Type: Expression Integer +--E 454 + +--S 455 of 518 +r0987:= -1/2*atan(2^(1/2)*sinh(x))*2^(1/2)+sinh(x) +--R +--R +--R +-+ +-+ +--R - \|2 atan(\|2 sinh(x)) + 2sinh(x) +--R (440) ---------------------------------- +--R 2 +--R Type: Expression Integer +--E 455 + +--S 456 of 518 +a0987:= integrate(t0987,x) +--R +--R +--R (441) +--R +-+ +-+ +--R \|2 sinh(x) + \|2 cosh(x) +--R (- 2sinh(x) - 2cosh(x))atan(-------------------------) +--R 2 +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|2 sinh(x) - \|2 cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) - \|2 +--R / +--R +-+ +-+ +--R 2\|2 sinh(x) + 2\|2 cosh(x) +--R Type: Union(Expression Integer,...) +--E 456 + +--S 457 of 518 +m0987:= a0987-r0987 +--R +--R +--R (442) +--R +-+ +--R (2sinh(x) + 2cosh(x))atan(\|2 sinh(x)) +--R + +--R +-+ +-+ +--R \|2 sinh(x) + \|2 cosh(x) +--R (- 2sinh(x) - 2cosh(x))atan(-------------------------) +--R 2 +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|2 sinh(x) - \|2 cosh(x) +--R + +--R +-+ 2 +-+ 2 +-+ +--R - \|2 sinh(x) + \|2 cosh(x) - \|2 +--R / +--R +-+ +-+ +--R 2\|2 sinh(x) + 2\|2 cosh(x) +--R Type: Expression Integer +--E 457 + +--S 458 of 518 +d0987:= D(m0987,x) +--R +--R +--R (443) +--R 10 9 2 8 +--R 2sinh(x) + 12cosh(x)sinh(x) + (28cosh(x) + 23)sinh(x) +--R + +--R 3 7 2 6 +--R (28cosh(x) + 76cosh(x))sinh(x) + (86cosh(x) + 53)sinh(x) +--R + +--R 5 3 5 +--R (- 28cosh(x) + 16cosh(x) + 106cosh(x))sinh(x) +--R + +--R 6 4 2 4 +--R (- 28cosh(x) - 48cosh(x) + 81cosh(x) + 47)sinh(x) +--R + +--R 7 5 3 3 +--R (- 12cosh(x) - 36cosh(x) - 8cosh(x) + 44cosh(x))sinh(x) +--R + +--R 8 6 4 2 2 +--R (- 2cosh(x) + 2cosh(x) - 37cosh(x) + 28cosh(x) + 17)sinh(x) +--R + +--R 7 5 3 8 +--R (8cosh(x) - 2cosh(x) - 8cosh(x) + 2cosh(x))sinh(x) + cosh(x) +--R + +--R 6 4 2 +--R - cosh(x) - 7cosh(x) + 5cosh(x) + 2 +--R / +--R 9 8 2 7 +--R 4sinh(x) + 28cosh(x)sinh(x) + (84cosh(x) + 26)sinh(x) +--R + +--R 3 6 +--R (140cosh(x) + 102cosh(x))sinh(x) +--R + +--R 4 2 5 +--R (140cosh(x) + 186cosh(x) + 48)sinh(x) +--R + +--R 5 3 4 +--R (84cosh(x) + 214cosh(x) + 88cosh(x))sinh(x) +--R + +--R 6 4 2 3 +--R (28cosh(x) + 158cosh(x) + 116cosh(x) + 26)sinh(x) +--R + +--R 7 5 3 2 +--R (4cosh(x) + 66cosh(x) + 108cosh(x) + 30cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (14cosh(x) + 44cosh(x) + 22cosh(x) + 4)sinh(x) + 2cosh(x) +--R + +--R 5 3 +--R 12cosh(x) + 18cosh(x) + 4cosh(x) +--R Type: Expression Integer +--E 458 + +--S 459 of 518 +t0988:= tanh(3*x)*sinh(x) +--R +--R +--R (444) sinh(x)tanh(3x) +--R Type: Expression Integer +--E 459 + +--S 460 of 518 +r0988:= -1/3*atan(3*sinh(x)/(1-2*sinh(x)^2))+sinh(x) +--R +--R +--R 3sinh(x) +--R atan(-------------) + 3sinh(x) +--R 2 +--R 2sinh(x) - 1 +--R (445) ------------------------------ +--R 3 +--R Type: Expression Integer +--E 460 + +--S 461 of 518 +a0988:= integrate(t0988,x) +--R +--R +--R (446) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R (2sinh(x) + 2cosh(x))atan(-------------------------------------) +--R sinh(x) - cosh(x) +--R + +--R 2 +--R (- 6sinh(x) - 6cosh(x))atan(sinh(x) + cosh(x)) + 3sinh(x) +--R + +--R 2 +--R 6cosh(x)sinh(x) + 3cosh(x) - 3 +--R / +--R 6sinh(x) + 6cosh(x) +--R Type: Union(Expression Integer,...) +--E 461 + +--S 462 of 518 +m0988:= a0988-r0988 +--R +--R +--R (447) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R (2sinh(x) + 2cosh(x))atan(-------------------------------------) +--R sinh(x) - cosh(x) +--R + +--R (- 6sinh(x) - 6cosh(x))atan(sinh(x) + cosh(x)) +--R + +--R 3sinh(x) 2 2 +--R (- 2sinh(x) - 2cosh(x))atan(-------------) - 3sinh(x) + 3cosh(x) - 3 +--R 2 +--R 2sinh(x) - 1 +--R / +--R 6sinh(x) + 6cosh(x) +--R Type: Expression Integer +--E 462 + +--S 463 of 518 +d0988:= D(m0988,x) +--R +--R +--R (448) +--R 12 11 2 10 +--R 4sinh(x) + 24cosh(x)sinh(x) + (56cosh(x) + 17)sinh(x) +--R + +--R 3 9 2 8 +--R (56cosh(x) + 58cosh(x))sinh(x) + (86cosh(x) + 28)sinh(x) +--R + +--R 5 3 7 +--R (- 56cosh(x) + 74cosh(x) + 70cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (- 56cosh(x) + 32cosh(x) + 69cosh(x) + 22)sinh(x) +--R + +--R 7 5 3 5 +--R (- 24cosh(x) - 2cosh(x) - 4cosh(x) + 36cosh(x))sinh(x) +--R + +--R 8 6 4 2 4 +--R (- 4cosh(x) - 6cosh(x) - 45cosh(x) + 49cosh(x) + 8)sinh(x) +--R + +--R 7 5 3 3 +--R (- 2cosh(x) - 10cosh(x) + 2cosh(x) - 2cosh(x))sinh(x) +--R + +--R 8 6 4 2 2 +--R (- cosh(x) + 11cosh(x) - 22cosh(x) + 11cosh(x) + 1)sinh(x) +--R + +--R 7 5 8 6 +--R (8cosh(x) - 6cosh(x) - 2cosh(x))sinh(x) + cosh(x) - cosh(x) +--R + +--R 4 2 +--R - cosh(x) + cosh(x) +--R / +--R 11 10 2 9 +--R 8sinh(x) + 56cosh(x)sinh(x) + (168cosh(x) + 26)sinh(x) +--R + +--R 3 8 +--R (280cosh(x) + 118cosh(x))sinh(x) +--R + +--R 4 2 7 +--R (280cosh(x) + 274cosh(x) + 30)sinh(x) +--R + +--R 5 3 6 +--R (168cosh(x) + 414cosh(x) + 66cosh(x))sinh(x) +--R + +--R 6 4 2 5 +--R (56cosh(x) + 398cosh(x) + 114cosh(x) + 14)sinh(x) +--R + +--R 7 5 3 4 +--R (8cosh(x) + 226cosh(x) + 158cosh(x) + 2cosh(x))sinh(x) +--R + +--R 6 4 2 3 +--R (70cosh(x) + 130cosh(x) + 6cosh(x) + 2)sinh(x) +--R + +--R 7 5 3 2 +--R (10cosh(x) + 62cosh(x) + 26cosh(x) - 2cosh(x))sinh(x) +--R + +--R 6 4 2 7 5 +--R (14cosh(x) + 12cosh(x) - 2cosh(x) )sinh(x) + 2cosh(x) + 4cosh(x) +--R + +--R 3 +--R 2cosh(x) +--R Type: Expression Integer +--E 463 + +--S 464 of 518 +t0989:= tanh(4*x)*sinh(x) +--R +--R +--R (449) sinh(x)tanh(4x) +--R Type: Expression Integer +--E 464 + +--S 465 of 518 +r0989:= -1/4*(2-2^(1/2))^(1/2)*atan(2*sinh(x)/(2-2^(1/2))^(1/2))-_ + 1/4*(2+2^(1/2))^(1/2)*atan(2*sinh(x)/(2+2^(1/2))^(1/2))+sinh(x) +--R +--R +--R (450) +--R +----------+ +--------+ +--R | +-+ 2sinh(x) | +-+ 2sinh(x) +--R - \|- \|2 + 2 atan(-------------) - \|\|2 + 2 atan(-----------) + 4sinh(x) +--R +----------+ +--------+ +--R | +-+ | +-+ +--R \|- \|2 + 2 \|\|2 + 2 +--R ---------------------------------------------------------------------------- +--R 4 +--R Type: Expression Integer +--E 465 + +--S 466 of 518 +a0989:= integrate(t0989,x) +--R +--R +--R (451) +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R (2sinh(x) + 2cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R (4sinh(x) + 4cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R (2sinh(x) + 2cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R (4sinh(x) + 4cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 466 + +--S 467 of 518 +m0989:= a0989-r0989 +--R +--R +--R (452) +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R (4sinh(x) + 4cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R (4sinh(x) + 4cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R (4sinh(x) + 4cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R (4sinh(x) + 4cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +----------+ +--R | +-+ 2sinh(x) +--R (sinh(x) + cosh(x))\|- \|2 + 2 atan(-------------) +--R +----------+ +--R | +-+ +--R \|- \|2 + 2 +--R + +--R +--------+ +--R | +-+ 2sinh(x) 2 2 +--R (sinh(x) + cosh(x))\|\|2 + 2 atan(-----------) - 2sinh(x) + 2cosh(x) - 2 +--R +--------+ +--R | +-+ +--R \|\|2 + 2 +--R / +--R 4sinh(x) + 4cosh(x) +--R Type: Expression Integer +--E 467 + +--S 468 of 518 +d0989:= D(m0989,x) +--R +--R +--R (453) +--R 14 13 2 12 +--R 8sinh(x) + 64cosh(x)sinh(x) + 216cosh(x) sinh(x) +--R + +--R 3 11 +--R (384cosh(x) + 8cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (336cosh(x) + 64cosh(x) - 7)sinh(x) +--R + +--R 3 9 +--R (224cosh(x) - 54cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 336cosh(x) + 448cosh(x) - 179cosh(x) - 1)sinh(x) +--R + +--R 7 5 3 7 +--R (- 384cosh(x) + 560cosh(x) - 328cosh(x) - 8cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 216cosh(x) + 448cosh(x) - 350cosh(x) - 28cosh(x) - 8)sinh(x) +--R + +--R 9 7 5 3 +--R (- 64cosh(x) + 224cosh(x) - 196cosh(x) - 56cosh(x) - 32cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R (- 8cosh(x) + 64cosh(x) - 14cosh(x) - 70cosh(x) - 24cosh(x) ) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (8cosh(x) + 56cosh(x) - 56cosh(x) - 24cosh(x))sinh(x) +--R + +--R 8 6 2 2 +--R (37cosh(x) - 28cosh(x) - 16cosh(x) + 7)sinh(x) +--R + +--R 9 7 10 8 +--R (10cosh(x) - 8cosh(x) - 2cosh(x))sinh(x) + cosh(x) - cosh(x) +--R + +--R 2 +--R - cosh(x) + 1 +--R / +--R 13 12 2 11 +--R 16sinh(x) + 144cosh(x)sinh(x) + (576cosh(x) + 16)sinh(x) +--R + +--R 3 10 +--R (1344cosh(x) + 144cosh(x))sinh(x) +--R + +--R 4 2 9 +--R (2016cosh(x) + 576cosh(x) + 2)sinh(x) +--R + +--R 5 3 8 +--R (2016cosh(x) + 1344cosh(x) + 18cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (1344cosh(x) + 2016cosh(x) + 72cosh(x) )sinh(x) +--R + +--R 7 5 3 6 +--R (576cosh(x) + 2016cosh(x) + 168cosh(x) )sinh(x) +--R + +--R 8 6 4 5 +--R (144cosh(x) + 1344cosh(x) + 252cosh(x) + 16)sinh(x) +--R + +--R 9 7 5 4 +--R (16cosh(x) + 576cosh(x) + 252cosh(x) + 16cosh(x))sinh(x) +--R + +--R 8 6 3 +--R (144cosh(x) + 168cosh(x) + 16)sinh(x) +--R + +--R 9 7 2 8 +--R (16cosh(x) + 72cosh(x) + 16cosh(x))sinh(x) + (18cosh(x) + 2)sinh(x) +--R + +--R 9 +--R 2cosh(x) + 2cosh(x) +--R Type: Expression Integer +--E 468 + +--S 469 of 518 +t0990:= tanh(5*x)*sinh(x) +--R +--R +--R (454) sinh(x)tanh(5x) +--R Type: Expression Integer +--E 469 + +--S 470 of 518 +r0990:= -1/5*atan(sinh(x))-1/5*(1/2*5^(1/2)-1/2)*_ + atan(2*2^(1/2)/(-5^(1/2)+3)^(1/2)*sinh(x))-1/5*(1/2+1/2*5^(1/2))*_ + atan(2*2^(1/2)/(5^(1/2)+3)^(1/2)*sinh(x))+sinh(x) +--R +--R +--R (455) +--R +--------+ +--R +-+ +-+ +-+ | +-+ +--R +-+ (\|2 \|5 - 3\|2 )sinh(x)\|\|5 + 3 +--R (\|5 + 1)atan(------------------------------------) +--R 2 +--R + +--R +----------+ +--R +-+ +-+ +-+ | +-+ +--R +-+ (\|2 \|5 + 3\|2 )sinh(x)\|- \|5 + 3 +--R (- \|5 + 1)atan(--------------------------------------) - 2atan(sinh(x)) +--R 2 +--R + +--R 10sinh(x) +--R / +--R 10 +--R Type: Expression Integer +--E 470 + +--S 471 of 518 +a0990:= integrate(t0990,x) +--R +--R +--R (456) +--R +---------+ +--R | +-+ +--R |3\|5 + 5 +--R (10sinh(x) + 10cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R * +--R +---------+ +--R | +-+ +--R |3\|5 + 5 +--R (5sinh(x) + 5cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +---------+ +--R | +-+ +--R |3\|5 - 5 +--R (10sinh(x) + 10cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R * +--R +---------+ +--R | +-+ +--R |3\|5 - 5 +--R (5sinh(x) + 5cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R 2sinh(x) + 2cosh(x) +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R 2 2 +--R 5sinh(x) + 10cosh(x)sinh(x) + 5cosh(x) - 5 +--R / +--R 10sinh(x) + 10cosh(x) +--R Type: Union(Expression Integer,...) +--E 471 + +--S 472 of 518 +m0990:= a0990-r0990 +--R +--R +--R (457) +--R +-+ +-+ +--R ((- \|5 - 1)sinh(x) + (- \|5 - 1)cosh(x)) +--R * +--R +--------+ +--R +-+ +-+ +-+ | +-+ +--R (\|2 \|5 - 3\|2 )sinh(x)\|\|5 + 3 +--R atan(------------------------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|5 + 5 +--R (10sinh(x) + 10cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R * +--R +---------+ +--R | +-+ +--R |3\|5 + 5 +--R (5sinh(x) + 5cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +---------+ +--R | +-+ +--R |3\|5 - 5 +--R (10sinh(x) + 10cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R * +--R +---------+ +--R | +-+ +--R |3\|5 - 5 +--R (5sinh(x) + 5cosh(x)) |--------- +--R | +-+ +--R \| 50\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +-+ +-+ +--R ((\|5 - 1)sinh(x) + (\|5 - 1)cosh(x)) +--R * +--R +----------+ +--R +-+ +-+ +-+ | +-+ +--R (\|2 \|5 + 3\|2 )sinh(x)\|- \|5 + 3 +--R atan(--------------------------------------) +--R 2 +--R + +--R (2sinh(x) + 2cosh(x))atan(sinh(x)) +--R + +--R 2sinh(x) + 2cosh(x) +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R 2 2 +--R - 5sinh(x) + 5cosh(x) - 5 +--R / +--R 10sinh(x) + 10cosh(x) +--R Type: Expression Integer +--E 472 + +--S 473 of 518 +d0990:= D(m0990,x) +--R +--R +--R (458) +--R +-+ +-+ +-+ 15 +--R (4\|2 \|5 + 4\|2 )cosh(x)sinh(x) +--R + +--R +-+ +-+ +-+ 2 14 +--R (44\|2 \|5 + 44\|2 )cosh(x) sinh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R ((220\|2 \|5 + 220\|2 )cosh(x) + (5\|2 \|5 + 3\|2 )cosh(x)) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R ((660\|2 \|5 + 660\|2 )cosh(x) + (55\|2 \|5 + 33\|2 )cosh(x) ) +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 5 +--R (1320\|2 \|5 + 1320\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R (275\|2 \|5 + 165\|2 )cosh(x) + (\|2 \|5 - \|2 )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 6 +--R (1848\|2 \|5 + 1848\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R (825\|2 \|5 + 495\|2 )cosh(x) + (11\|2 \|5 - 11\|2 )cosh(x) +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 7 +--R (1848\|2 \|5 + 1848\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 5 +-+ +-+ +-+ 3 +--R (1650\|2 \|5 + 990\|2 )cosh(x) + (55\|2 \|5 - 55\|2 )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 8 +--R (1320\|2 \|5 + 1320\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 6 +-+ +-+ +-+ 4 +--R (2310\|2 \|5 + 1386\|2 )cosh(x) + (165\|2 \|5 - 165\|2 )cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 9 +--R (660\|2 \|5 + 660\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 7 +-+ +-+ +-+ 5 +--R (2310\|2 \|5 + 1386\|2 )cosh(x) + (330\|2 \|5 - 330\|2 )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 10 +--R (220\|2 \|5 + 220\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 8 +-+ +-+ +-+ 6 +--R (1650\|2 \|5 + 990\|2 )cosh(x) + (462\|2 \|5 - 462\|2 )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 11 +-+ +-+ +-+ 9 +--R (44\|2 \|5 + 44\|2 )cosh(x) + (825\|2 \|5 + 495\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 7 +-+ +-+ +-+ +--R (462\|2 \|5 - 462\|2 )cosh(x) + (4\|2 \|5 + 4\|2 )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 12 +-+ +-+ +-+ 10 +--R (4\|2 \|5 + 4\|2 )cosh(x) + (275\|2 \|5 + 165\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 8 +-+ +-+ +-+ 2 +--R (330\|2 \|5 - 330\|2 )cosh(x) + (4\|2 \|5 + 4\|2 )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 11 +-+ +-+ +-+ 9 +--R (55\|2 \|5 + 33\|2 )cosh(x) + (165\|2 \|5 - 165\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (5\|2 \|5 + 3\|2 )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 12 +-+ +-+ +-+ 10 +--R (5\|2 \|5 + 3\|2 )cosh(x) + (55\|2 \|5 - 55\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (5\|2 \|5 + 3\|2 )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 11 +-+ +-+ +-+ +--R ((11\|2 \|5 - 11\|2 )cosh(x) + (\|2 \|5 - \|2 )cosh(x))sinh(x) +--R + +--R +-+ +-+ +-+ 12 +-+ +-+ +-+ 2 +--R (\|2 \|5 - \|2 )cosh(x) + (\|2 \|5 - \|2 )cosh(x) +--R * +--R +--------+ +--R | +-+ +--R \|\|5 + 3 +--R + +--R +-+ +-+ +-+ 15 +--R (4\|2 \|5 - 4\|2 )cosh(x)sinh(x) +--R + +--R +-+ +-+ +-+ 2 14 +--R (44\|2 \|5 - 44\|2 )cosh(x) sinh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R ((220\|2 \|5 - 220\|2 )cosh(x) + (5\|2 \|5 - 3\|2 )cosh(x)) +--R * +--R 13 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R ((660\|2 \|5 - 660\|2 )cosh(x) + (55\|2 \|5 - 33\|2 )cosh(x) ) +--R * +--R 12 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 5 +--R (1320\|2 \|5 - 1320\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R (275\|2 \|5 - 165\|2 )cosh(x) + (\|2 \|5 + \|2 )cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 6 +--R (1848\|2 \|5 - 1848\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R (825\|2 \|5 - 495\|2 )cosh(x) + (11\|2 \|5 + 11\|2 )cosh(x) +--R * +--R 10 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 7 +--R (1848\|2 \|5 - 1848\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 5 +-+ +-+ +-+ 3 +--R (1650\|2 \|5 - 990\|2 )cosh(x) + (55\|2 \|5 + 55\|2 )cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 8 +--R (1320\|2 \|5 - 1320\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 6 +-+ +-+ +-+ 4 +--R (2310\|2 \|5 - 1386\|2 )cosh(x) + (165\|2 \|5 + 165\|2 )cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 9 +--R (660\|2 \|5 - 660\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 7 +-+ +-+ +-+ 5 +--R (2310\|2 \|5 - 1386\|2 )cosh(x) + (330\|2 \|5 + 330\|2 )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 10 +--R (220\|2 \|5 - 220\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 8 +-+ +-+ +-+ 6 +--R (1650\|2 \|5 - 990\|2 )cosh(x) + (462\|2 \|5 + 462\|2 )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 11 +-+ +-+ +-+ 9 +--R (44\|2 \|5 - 44\|2 )cosh(x) + (825\|2 \|5 - 495\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 7 +-+ +-+ +-+ +--R (462\|2 \|5 + 462\|2 )cosh(x) + (4\|2 \|5 - 4\|2 )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 12 +-+ +-+ +-+ 10 +--R (4\|2 \|5 - 4\|2 )cosh(x) + (275\|2 \|5 - 165\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 8 +-+ +-+ +-+ 2 +--R (330\|2 \|5 + 330\|2 )cosh(x) + (4\|2 \|5 - 4\|2 )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 11 +-+ +-+ +-+ 9 +--R (55\|2 \|5 - 33\|2 )cosh(x) + (165\|2 \|5 + 165\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (5\|2 \|5 - 3\|2 )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 12 +-+ +-+ +-+ 10 +--R (5\|2 \|5 - 3\|2 )cosh(x) + (55\|2 \|5 + 55\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (5\|2 \|5 - 3\|2 )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 11 +-+ +-+ +-+ +--R ((11\|2 \|5 + 11\|2 )cosh(x) + (\|2 \|5 + \|2 )cosh(x))sinh(x) +--R + +--R +-+ +-+ +-+ 12 +-+ +-+ +-+ 2 +--R (\|2 \|5 + \|2 )cosh(x) + (\|2 \|5 + \|2 )cosh(x) +--R * +--R +----------+ +--R | +-+ +--R \|- \|5 + 3 +--R + +--R 18 17 2 16 +--R 80sinh(x) + 800cosh(x)sinh(x) + (3520cosh(x) + 60)sinh(x) +--R + +--R 3 15 +--R (8800cosh(x) + 632cosh(x))sinh(x) +--R + +--R 4 2 14 +--R (13200cosh(x) + 2912cosh(x) - 75)sinh(x) +--R + +--R 5 3 13 +--R (10560cosh(x) + 7560cosh(x) - 726cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (11580cosh(x) - 3176cosh(x) - 60)sinh(x) +--R + +--R 7 5 3 11 +--R (- 10560cosh(x) + 8880cosh(x) - 8330cosh(x) - 598cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 13200cosh(x) - 2016cosh(x) - 14715cosh(x) - 2683cosh(x) - 5) +--R * +--R 10 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 8800cosh(x) - 13296cosh(x) - 18780cosh(x) - 7140cosh(x) +--R + +--R - 50cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 3520cosh(x) - 16140cosh(x) - 18312cosh(x) - 12495cosh(x) +--R + +--R 2 +--R - 225cosh(x) - 80 +--R * +--R 8 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 800cosh(x) - 10920cosh(x) - 14292cosh(x) - 15060cosh(x) +--R + +--R 3 +--R - 600cosh(x) - 320cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 80cosh(x) - 4480cosh(x) - 9105cosh(x) - 12726cosh(x) +--R + +--R 4 2 +--R - 1050cosh(x) - 240cosh(x) - 60 +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 1048cosh(x) - 4590cosh(x) - 7536cosh(x) - 1260cosh(x) +--R + +--R - 528cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 108cosh(x) - 1680cosh(x) - 3090cosh(x) - 1050cosh(x) +--R + +--R 2 +--R - 388cosh(x) + 75 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 3 +--R (- 386cosh(x) - 870cosh(x) - 600cosh(x) - 236cosh(x))sinh(x) +--R + +--R 12 10 8 2 2 +--R (- 41cosh(x) - 175cosh(x) - 225cosh(x) - 171cosh(x) + 60)sinh(x) +--R + +--R 11 9 12 10 +--R (- 28cosh(x) - 50cosh(x) - 18cosh(x))sinh(x) - 3cosh(x) - 5cosh(x) +--R + +--R 2 +--R - 13cosh(x) + 5 +--R / +--R 17 16 2 15 +--R 160sinh(x) + 1760cosh(x)sinh(x) + (8800cosh(x) + 280)sinh(x) +--R + +--R 3 14 +--R (26400cosh(x) + 3080cosh(x))sinh(x) +--R + +--R 4 2 13 +--R (52800cosh(x) + 15400cosh(x) + 130)sinh(x) +--R + +--R 5 3 12 +--R (73920cosh(x) + 46200cosh(x) + 1430cosh(x))sinh(x) +--R + +--R 6 4 2 11 +--R (73920cosh(x) + 92400cosh(x) + 7150cosh(x) + 10)sinh(x) +--R + +--R 7 5 3 10 +--R (52800cosh(x) + 129360cosh(x) + 21450cosh(x) + 110cosh(x))sinh(x) +--R + +--R 8 6 4 2 9 +--R (26400cosh(x) + 129360cosh(x) + 42900cosh(x) + 550cosh(x) )sinh(x) +--R + +--R 9 7 5 3 8 +--R (8800cosh(x) + 92400cosh(x) + 60060cosh(x) + 1650cosh(x) )sinh(x) +--R + +--R 10 8 6 4 +--R (1760cosh(x) + 46200cosh(x) + 60060cosh(x) + 3300cosh(x) + 160) +--R * +--R 7 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 160cosh(x) + 15400cosh(x) + 42900cosh(x) + 4620cosh(x) +--R + +--R 160cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 10 8 6 5 +--R (3080cosh(x) + 21450cosh(x) + 4620cosh(x) + 280)sinh(x) +--R + +--R 11 9 7 4 +--R (280cosh(x) + 7150cosh(x) + 3300cosh(x) + 280cosh(x))sinh(x) +--R + +--R 10 8 3 +--R (1430cosh(x) + 1650cosh(x) + 130)sinh(x) +--R + +--R 11 9 2 +--R (130cosh(x) + 550cosh(x) + 130cosh(x))sinh(x) +--R + +--R 10 11 +--R (110cosh(x) + 10)sinh(x) + 10cosh(x) + 10cosh(x) +--R Type: Expression Integer +--E 473 + +--S 474 of 518 +t0991:= tanh(6*x)*sinh(x) +--R +--R +--R (459) sinh(x)tanh(6x) +--R Type: Expression Integer +--E 474 + +--S 475 of 518 +r0991:= -1/6*atan(2^(1/2)*sinh(x))*2^(1/2)-1/6*(1/2*6^(1/2)-1/2*2^(1/2))*_ + atan(2*sinh(x)/(1/2*6^(1/2)-1/2*2^(1/2)))-_ + 1/6*(1/2*6^(1/2)+1/2*2^(1/2))*_ + atan(2*sinh(x)/(1/2*6^(1/2)+1/2*2^(1/2)))+sinh(x) +--R +--R +--R (460) +--R +-+ +-+ +-+ +-+ 4sinh(x) +--R - 2\|2 atan(\|2 sinh(x)) + (- \|6 + \|2 )atan(-----------) +--R +-+ +-+ +--R \|6 - \|2 +--R + +--R +-+ +-+ 4sinh(x) +--R (- \|6 - \|2 )atan(-----------) + 12sinh(x) +--R +-+ +-+ +--R \|6 + \|2 +--R / +--R 12 +--R Type: Expression Integer +--E 475 + +--S 476 of 518 +a0991:= integrate(t0991,x) +--R +--R +--R (461) +--R +---------+ +--R | +-+ +--R +-+ +-+ |2\|3 + 3 +--R (6\|2 sinh(x) + 6\|2 cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R * +--R +---------+ +--R | +-+ +--R |2\|3 + 3 +--R (6sinh(x) + 6cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +---------+ +--R | +-+ +--R +-+ +-+ |2\|3 - 3 +--R (6\|2 sinh(x) + 6\|2 cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R * +--R +---------+ +--R | +-+ +--R |2\|3 - 3 +--R (6sinh(x) + 6cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +-+ +-+ +--R 2\|2 sinh(x) + 2\|2 cosh(x) +--R (sinh(x) + cosh(x))atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 2 +--R + +--R (sinh(x) + cosh(x)) +--R * +--R atan +--R +-+ 2 +-+ +-+ 2 +-+ +--R 2\|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 2\|2 cosh(x) + 2\|2 +--R / +--R 5 4 2 3 +--R sinh(x) + 5cosh(x)sinh(x) + (10cosh(x) + 2)sinh(x) +--R + +--R 3 2 +--R (10cosh(x) + 6cosh(x))sinh(x) +--R + +--R 4 2 5 3 +--R (5cosh(x) + 6cosh(x) + 3)sinh(x) + cosh(x) + 2cosh(x) +--R + +--R - cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 3\|2 sinh(x) + 6\|2 cosh(x)sinh(x) + 3\|2 cosh(x) - 3\|2 +--R / +--R +-+ +-+ +--R 6\|2 sinh(x) + 6\|2 cosh(x) +--R Type: Union(Expression Integer,...) +--E 476 + +--S 477 of 518 +m0991:= a0991-r0991 +--R +--R +--R (462) +--R +---------+ +--R | +-+ +--R +-+ +-+ |2\|3 + 3 +--R (12\|2 sinh(x) + 12\|2 cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R * +--R +---------+ +--R | +-+ +--R |2\|3 + 3 +--R (6sinh(x) + 6cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +---------+ +--R | +-+ +--R +-+ +-+ |2\|3 - 3 +--R (12\|2 sinh(x) + 12\|2 cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R * +--R +---------+ +--R | +-+ +--R |2\|3 - 3 +--R (6sinh(x) + 6cosh(x)) |--------- +--R | +-+ +--R \| 36\|3 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +-+ +--R (4sinh(x) + 4cosh(x))atan(\|2 sinh(x)) +--R + +--R +-+ +-+ +-+ +-+ 4sinh(x) +--R ((\|2 \|6 - 2)sinh(x) + (\|2 \|6 - 2)cosh(x))atan(-----------) +--R +-+ +-+ +--R \|6 - \|2 +--R + +--R +-+ +-+ +-+ +-+ 4sinh(x) +--R ((\|2 \|6 + 2)sinh(x) + (\|2 \|6 + 2)cosh(x))atan(-----------) +--R +-+ +-+ +--R \|6 + \|2 +--R + +--R +-+ +-+ +--R 2\|2 sinh(x) + 2\|2 cosh(x) +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 2 +--R + +--R (2sinh(x) + 2cosh(x)) +--R * +--R atan +--R +-+ 2 +-+ +-+ 2 +-+ +--R 2\|2 sinh(x) + 4\|2 cosh(x)sinh(x) + 2\|2 cosh(x) + 2\|2 +--R / +--R 5 4 2 3 +--R sinh(x) + 5cosh(x)sinh(x) + (10cosh(x) + 2)sinh(x) +--R + +--R 3 2 +--R (10cosh(x) + 6cosh(x))sinh(x) +--R + +--R 4 2 5 3 +--R (5cosh(x) + 6cosh(x) + 3)sinh(x) + cosh(x) + 2cosh(x) +--R + +--R - cosh(x) +--R + +--R +-+ 2 +-+ 2 +-+ +--R - 6\|2 sinh(x) + 6\|2 cosh(x) - 6\|2 +--R / +--R +-+ +-+ +--R 12\|2 sinh(x) + 12\|2 cosh(x) +--R Type: Expression Integer +--E 477 + +--S 478 of 518 +d0991:= D(m0991,x) +--R +--R +--R (463) +--R 28 27 2 26 +--R 96sinh(x) + 1920cosh(x)sinh(x) + (18144cosh(x) + 624)sinh(x) +--R + +--R 3 25 +--R (107520cosh(x) + 11424cosh(x))sinh(x) +--R + +--R 4 2 24 +--R (446880cosh(x) + 98544cosh(x) + 1830)sinh(x) +--R + +--R 5 3 23 +--R (1378944cosh(x) + 531648cosh(x) + 29376cosh(x))sinh(x) +--R + +--R 6 4 2 22 +--R (3255840cosh(x) + 2007312cosh(x) + 221190cosh(x) + 3489)sinh(x) +--R + +--R 7 5 3 +--R (5953536cosh(x) + 5619744cosh(x) + 1037328cosh(x) + 46626cosh(x)) +--R * +--R 21 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 8372160cosh(x) + 12046608cosh(x) + 3393162cosh(x) + 286209cosh(x) +--R + +--R 5553 +--R * +--R 20 +--R sinh(x) +--R + +--R 9 7 5 +--R 8682240cosh(x) + 20093184cosh(x) + 8216112cosh(x) +--R + +--R 3 +--R 1064604cosh(x) + 61020cosh(x) +--R * +--R 19 +--R sinh(x) +--R + +--R 10 8 6 +--R 5643456cosh(x) + 26139744cosh(x) + 15257370cosh(x) +--R + +--R 4 2 +--R 2660055cosh(x) + 294576cosh(x) + 6231 +--R * +--R 18 +--R sinh(x) +--R + +--R 9 7 5 +--R 26108736cosh(x) + 22229568cosh(x) + 4658970cosh(x) +--R + +--R 3 +--R 789132cosh(x) + 61698cosh(x) +--R * +--R 17 +--R sinh(x) +--R + +--R 12 10 8 +--R - 5643456cosh(x) + 18945888cosh(x) + 25827324cosh(x) +--R + +--R 6 4 2 +--R 5748783cosh(x) + 1127019cosh(x) + 265641cosh(x) + 1359 +--R * +--R 16 +--R sinh(x) +--R + +--R 13 11 9 +--R - 8682240cosh(x) + 8062080cosh(x) + 24292416cosh(x) +--R + +--R 7 5 3 +--R 4813776cosh(x) + 158064cosh(x) + 616824cosh(x) + 21888cosh(x) +--R * +--R 15 +--R sinh(x) +--R + +--R 14 12 10 +--R - 8372160cosh(x) - 1209312cosh(x) + 18901116cosh(x) +--R + +--R 8 6 4 2 +--R 2438346cosh(x) - 3048144cosh(x) + 676692cosh(x) + 122964cosh(x) +--R + +--R - 6722 +--R * +--R 14 +--R sinh(x) +--R + +--R 15 13 11 +--R - 5953536cosh(x) - 5643456cosh(x) + 12670944cosh(x) +--R + +--R 9 7 5 3 +--R 671076cosh(x) - 7596816cosh(x) - 364608cosh(x) + 351864cosh(x) +--R + +--R - 39812cosh(x) +--R * +--R 13 +--R sinh(x) +--R + +--R 16 14 12 +--R - 3255840cosh(x) - 5674464cosh(x) + 7852884cosh(x) +--R + +--R 10 8 6 4 +--R 913770cosh(x) - 10799478cosh(x) - 2756820cosh(x) + 553752cosh(x) +--R + +--R 2 +--R - 90542cosh(x) - 9734 +--R * +--R 12 +--R sinh(x) +--R + +--R 17 15 13 +--R - 1378944cosh(x) - 3720960cosh(x) + 4853664cosh(x) +--R + +--R 11 9 7 +--R 2516904cosh(x) - 10550712cosh(x) - 5380296cosh(x) +--R + +--R 5 3 +--R 372912cosh(x) - 74296cosh(x) - 70904cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 18 16 14 +--R - 446880cosh(x) - 1813968cosh(x) + 3023796cosh(x) +--R + +--R 12 10 8 +--R 3744078cosh(x) - 7353456cosh(x) - 6522294cosh(x) +--R + +--R 6 4 2 +--R - 306588cosh(x) + 65150cosh(x) - 203818cosh(x) - 3401 +--R * +--R 10 +--R sinh(x) +--R + +--R 19 17 15 +--R - 107520cosh(x) - 684000cosh(x) + 1770816cosh(x) +--R + +--R 13 11 9 +--R 3625380cosh(x) - 3541848cosh(x) - 5579340cosh(x) +--R + +--R 7 5 3 +--R - 1047672cosh(x) + 207092cosh(x) - 302520cosh(x) - 50094cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 20 18 16 +--R - 18144cosh(x) - 201552cosh(x) + 896382cosh(x) +--R + +--R 14 12 10 +--R 2524062cosh(x) - 970890cosh(x) - 3505290cosh(x) +--R + +--R 8 6 4 2 +--R - 1291506cosh(x) + 188290cosh(x) - 239780cosh(x) - 151223cosh(x) +--R + +--R 6927 +--R * +--R 8 +--R sinh(x) +--R + +--R 21 19 17 15 +--R - 1920cosh(x) - 45888cosh(x) + 369024cosh(x) + 1315536cosh(x) +--R + +--R 13 11 9 7 +--R 74928cosh(x) - 1627608cosh(x) - 981216cosh(x) + 49456cosh(x) +--R + +--R 5 3 +--R - 76048cosh(x) - 214752cosh(x) - 11296cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 22 20 18 16 +--R - 96cosh(x) - 7728cosh(x) + 117918cosh(x) + 519813cosh(x) +--R + +--R 14 12 10 8 +--R 240144cosh(x) - 543276cosh(x) - 504516cosh(x) - 47318cosh(x) +--R + +--R 6 4 2 +--R 27404cosh(x) - 165890cosh(x) - 48782cosh(x) + 9857 +--R * +--R 6 +--R sinh(x) +--R + +--R 21 19 17 15 +--R - 864cosh(x) + 27792cosh(x) + 155514cosh(x) + 144048cosh(x) +--R + +--R 13 11 9 7 +--R - 116784cosh(x) - 181752cosh(x) - 51804cosh(x) + 33840cosh(x) +--R + +--R 5 3 +--R - 67692cosh(x) - 64784cosh(x) + 4010cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 22 20 18 16 +--R - 48cosh(x) + 4482cosh(x) + 35013cosh(x) + 54741cosh(x) +--R + +--R 14 12 10 8 +--R - 8532cosh(x) - 48096cosh(x) - 22746cosh(x) + 12978cosh(x) +--R + +--R 6 4 2 +--R - 10422cosh(x) - 42056cosh(x) - 3539cosh(x) + 5009 +--R * +--R 4 +--R sinh(x) +--R + +--R 21 19 17 15 +--R 432cosh(x) + 5916cosh(x) + 14652cosh(x) + 3624cosh(x) +--R + +--R 13 11 9 7 +--R - 10320cosh(x) - 4728cosh(x) + 3720cosh(x) + 2352cosh(x) +--R + +--R 5 3 +--R - 13616cosh(x) - 7236cosh(x) + 1980cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 22 20 18 16 +--R 18cosh(x) + 747cosh(x) + 2688cosh(x) + 1335cosh(x) +--R + +--R 14 12 10 8 +--R - 1908cosh(x) - 102cosh(x) + 1278cosh(x) + 699cosh(x) +--R + +--R 6 4 2 +--R - 2866cosh(x) - 3781cosh(x) + 962cosh(x) + 1010 +--R * +--R 2 +--R sinh(x) +--R + +--R 21 19 17 15 +--R 66cosh(x) + 300cosh(x) + 186cosh(x) - 264cosh(x) +--R + +--R 13 11 9 7 5 +--R 108cosh(x) + 264cosh(x) - 54cosh(x) - 160cosh(x) - 470cosh(x) +--R + +--R 3 +--R - 108cosh(x) + 132cosh(x) +--R * +--R sinh(x) +--R + +--R 22 20 18 16 14 +--R 3cosh(x) + 15cosh(x) + 9cosh(x) - 21cosh(x) + 6cosh(x) +--R + +--R 12 10 8 6 4 +--R 24cosh(x) - 3cosh(x) - 7cosh(x) - 89cosh(x) - 67cosh(x) +--R + +--R 2 +--R 82cosh(x) + 48 +--R / +--R 27 26 2 25 +--R 192sinh(x) + 4032cosh(x)sinh(x) + (40320cosh(x) + 1440)sinh(x) +--R + +--R 3 24 +--R (255360cosh(x) + 27936cosh(x))sinh(x) +--R + +--R 4 2 23 +--R (1149120cosh(x) + 257472cosh(x) + 5100)sinh(x) +--R + +--R 5 3 22 +--R (3907008cosh(x) + 1499328cosh(x) + 89052cosh(x))sinh(x) +--R + +--R 6 4 2 21 +--R (10418688cosh(x) + 6188832cosh(x) + 737496cosh(x) + 12078)sinh(x) +--R + +--R 7 5 3 +--R (22325760cosh(x) + 19255968cosh(x) + 3853272cosh(x) + 185142cosh(x)) +--R * +--R 20 +--R sinh(x) +--R + +--R 8 6 4 +--R 39070080cosh(x) + 46884096cosh(x) + 14252268cosh(x) +--R + +--R 2 +--R 1340484cosh(x) + 20880 +--R * +--R 19 +--R sinh(x) +--R + +--R 9 7 5 +--R 56434560cosh(x) + 91535616cosh(x) + 39692988cosh(x) +--R + +--R 3 +--R 6099828cosh(x) + 279288cosh(x) +--R * +--R 18 +--R sinh(x) +--R + +--R 10 8 6 +--R 67721472cosh(x) + 145675584cosh(x) + 86430624cosh(x) +--R + +--R 4 2 +--R 19584102cosh(x) + 1752492cosh(x) + 22206 +--R * +--R 17 +--R sinh(x) +--R + +--R 11 9 7 +--R 67721472cosh(x) + 191071296cosh(x) + 150806688cosh(x) +--R + +--R 5 3 +--R 47213646cosh(x) + 6857700cosh(x) + 266814cosh(x) +--R * +--R 16 +--R sinh(x) +--R + +--R 12 10 8 +--R 56434560cosh(x) + 208001664cosh(x) + 214358616cosh(x) +--R + +--R 6 4 2 +--R 88808496cosh(x) + 18767712cosh(x) + 1496136cosh(x) + 6348 +--R * +--R 15 +--R sinh(x) +--R + +--R 13 11 9 +--R 39070080cosh(x) + 188652672cosh(x) + 250953144cosh(x) +--R + +--R 7 5 3 +--R 133673328cosh(x) + 38193408cosh(x) + 5189208cosh(x) + 92148cosh(x) +--R * +--R 14 +--R sinh(x) +--R + +--R 14 12 10 +--R 22325760cosh(x) + 142698816cosh(x) + 243628944cosh(x) +--R + +--R 8 6 4 +--R 163783548cosh(x) + 60013008cosh(x) + 12439680cosh(x) +--R + +--R 2 +--R 562284cosh(x) - 9504 +--R * +--R 13 +--R sinh(x) +--R + +--R 15 13 11 +--R 10418688cosh(x) + 89861184cosh(x) + 196794000cosh(x) +--R + +--R 9 7 5 +--R 165216012cosh(x) + 74655792cosh(x) + 21820176cosh(x) +--R + +--R 3 +--R 1987476cosh(x) - 57408cosh(x) +--R * +--R 12 +--R sinh(x) +--R + +--R 16 14 12 +--R 3907008cosh(x) + 46884096cosh(x) + 132303288cosh(x) +--R + +--R 10 8 6 +--R 138140184cosh(x) + 74833344cosh(x) + 28935048cosh(x) +--R + +--R 4 2 +--R 4631100cosh(x) - 127872cosh(x) + 1020 +--R * +--R 11 +--R sinh(x) +--R + +--R 17 15 13 +--R 1149120cosh(x) + 20093184cosh(x) + 73833816cosh(x) +--R + +--R 11 9 7 +--R 95996472cosh(x) + 61213680cosh(x) + 29577432cosh(x) +--R + +--R 5 3 +--R 7598724cosh(x) - 55296cosh(x) - 18852cosh(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 18 16 14 +--R 255360cosh(x) + 6976800cosh(x) + 34010784cosh(x) +--R + +--R 12 10 8 +--R 55381404cosh(x) + 41218056cosh(x) + 23578380cosh(x) +--R + +--R 6 4 2 +--R 9098844cosh(x) + 351744cosh(x) - 109920cosh(x) + 23118 +--R * +--R 9 +--R sinh(x) +--R + +--R 19 17 15 +--R 40320cosh(x) + 1920672cosh(x) + 12817824cosh(x) +--R + +--R 13 11 9 +--R 26388012cosh(x) + 22944792cosh(x) + 14760156cosh(x) +--R + +--R 7 5 3 +--R 8093988cosh(x) + 962400cosh(x) - 246624cosh(x) + 65358cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 20 18 16 +--R 4032cosh(x) + 404928cosh(x) + 3903036cosh(x) +--R + +--R 14 12 10 +--R 10283568cosh(x) + 10544928cosh(x) + 7290648cosh(x) +--R + +--R 8 6 4 2 +--R 5378532cosh(x) + 1321728cosh(x) - 293112cosh(x) + 63936cosh(x) +--R + +--R 24960 +--R * +--R 7 +--R sinh(x) +--R + +--R 21 19 17 15 +--R 192cosh(x) + 61632cosh(x) + 943596cosh(x) + 3226992cosh(x) +--R + +--R 13 11 9 +--R 3966528cosh(x) + 2857800cosh(x) + 2659932cosh(x) +--R + +--R 7 5 3 +--R 1162752cosh(x) - 187128cosh(x) - 1392cosh(x) + 59112cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 20 18 16 14 +--R 6048cosh(x) + 176472cosh(x) + 796374cosh(x) + 1201104cosh(x) +--R + +--R 12 10 8 6 +--R 898800cosh(x) + 968388cosh(x) + 695520cosh(x) - 39600cosh(x) +--R + +--R 4 2 +--R - 57492cosh(x) + 60252cosh(x) + 11166 +--R * +--R 5 +--R sinh(x) +--R + +--R 21 19 17 15 +--R 288cosh(x) + 24408cosh(x) + 149310cosh(x) + 286128cosh(x) +--R + +--R 13 11 9 7 +--R 231072cosh(x) + 255036cosh(x) + 284544cosh(x) + 30096cosh(x) +--R + +--R 5 3 +--R - 53508cosh(x) + 30612cosh(x) + 19350cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 20 18 16 14 +--R 2268cosh(x) + 20292cosh(x) + 52272cosh(x) + 49176cosh(x) +--R + +--R 12 10 8 6 +--R 47124cosh(x) + 77184cosh(x) + 27612cosh(x) - 23376cosh(x) +--R + +--R 4 2 +--R 3672cosh(x) + 13572cosh(x) + 2076 +--R * +--R 3 +--R sinh(x) +--R + +--R 21 19 17 15 +--R 108cosh(x) + 1908cosh(x) + 7128cosh(x) + 8328cosh(x) +--R + +--R 13 11 9 7 +--R 5676cosh(x) + 13056cosh(x) + 10620cosh(x) - 4320cosh(x) +--R + +--R 5 3 +--R - 1776cosh(x) + 5748cosh(x) + 2484cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 20 18 16 14 +--R 126cosh(x) + 684cosh(x) + 966cosh(x) + 372cosh(x) +--R + +--R 12 10 8 6 +--R 1344cosh(x) + 2352cosh(x) - 42cosh(x) - 1140cosh(x) +--R + +--R 4 2 +--R 414cosh(x) + 660cosh(x) + 96 +--R * +--R sinh(x) +--R + +--R 21 19 17 15 13 +--R 6cosh(x) + 36cosh(x) + 54cosh(x) + 12cosh(x) + 96cosh(x) +--R + +--R 11 9 7 5 3 +--R 240cosh(x) + 6cosh(x) - 204cosh(x) + 54cosh(x) + 252cosh(x) +--R + +--R 96cosh(x) +--R Type: Expression Integer +--E 478 + +--S 479 of 518 +t0992:= coth(3*x)*sinh(x) +--R +--R +--R (464) coth(3x)sinh(x) +--R Type: Expression Integer +--E 479 + +--S 480 of 518 +r0992:= -1/3*atan(2/3*sinh(x)*3^(1/2))*3^(1/2)+sinh(x) +--R +--R +--R +-+ +--R +-+ 2\|3 sinh(x) +--R - \|3 atan(------------) + 3sinh(x) +--R 3 +--R (465) ----------------------------------- +--R 3 +--R Type: Expression Integer +--E 480 + +--S 481 of 518 +a0992:= integrate(t0992,x) +--R +--R +--R (466) +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R (- 2sinh(x) - 2cosh(x))atan(-------------------------) +--R 3 +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 2 +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|3 sinh(x) - \|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|3 sinh(x) + 2\|3 cosh(x)sinh(x) + \|3 cosh(x) - \|3 +--R / +--R +-+ +-+ +--R 2\|3 sinh(x) + 2\|3 cosh(x) +--R Type: Union(Expression Integer,...) +--E 481 + +--S 482 of 518 +m0992:= a0992-r0992 +--R +--R +--R (467) +--R +-+ +--R 2\|3 sinh(x) +--R (2sinh(x) + 2cosh(x))atan(------------) +--R 3 +--R + +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R (- 2sinh(x) - 2cosh(x))atan(-------------------------) +--R 3 +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 2 +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|3 sinh(x) - \|3 cosh(x) +--R + +--R +-+ 2 +-+ 2 +-+ +--R - \|3 sinh(x) + \|3 cosh(x) - \|3 +--R / +--R +-+ +-+ +--R 2\|3 sinh(x) + 2\|3 cosh(x) +--R Type: Expression Integer +--E 482 + +--S 483 of 518 +d0992:= D(m0992,x) +--R +--R +--R (468) +--R 10 9 2 8 +--R 4sinh(x) + 24cosh(x)sinh(x) + (56cosh(x) + 63)sinh(x) +--R + +--R 3 7 2 6 +--R (56cosh(x) + 206cosh(x))sinh(x) + (234cosh(x) + 217)sinh(x) +--R + +--R 5 3 5 +--R (- 56cosh(x) + 46cosh(x) + 394cosh(x))sinh(x) +--R + +--R 6 4 2 4 +--R (- 56cosh(x) - 144cosh(x) + 275cosh(x) + 293)sinh(x) +--R + +--R 7 5 3 3 +--R (- 24cosh(x) - 134cosh(x) - 52cosh(x) + 254cosh(x))sinh(x) +--R + +--R 8 6 4 2 2 +--R (- 4cosh(x) - 26cosh(x) - 161cosh(x) + 128cosh(x) + 171)sinh(x) +--R + +--R 7 5 3 8 +--R (10cosh(x) - 22cosh(x) - 30cosh(x) + 42cosh(x))sinh(x) + cosh(x) +--R + +--R 6 4 2 +--R - 11cosh(x) - 53cosh(x) + 27cosh(x) + 36 +--R / +--R 9 8 2 7 +--R 8sinh(x) + 56cosh(x)sinh(x) + (168cosh(x) + 86)sinh(x) +--R + +--R 3 6 +--R (280cosh(x) + 346cosh(x))sinh(x) +--R + +--R 4 2 5 +--R (280cosh(x) + 638cosh(x) + 260)sinh(x) +--R + +--R 5 3 4 +--R (168cosh(x) + 722cosh(x) + 540cosh(x))sinh(x) +--R + +--R 6 4 2 3 +--R (56cosh(x) + 514cosh(x) + 696cosh(x) + 246)sinh(x) +--R + +--R 7 5 3 2 +--R (8cosh(x) + 206cosh(x) + 584cosh(x) + 330cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (42cosh(x) + 228cosh(x) + 234cosh(x) + 72)sinh(x) + 6cosh(x) +--R + +--R 5 3 +--R 60cosh(x) + 150cosh(x) + 72cosh(x) +--R Type: Expression Integer +--E 483 + +--S 484 of 518 +t0993:= coth(4*x)*sinh(x) +--R +--R +--R (469) coth(4x)sinh(x) +--R Type: Expression Integer +--E 484 + +--S 485 of 518 +r0993:= -1/4*atan(sinh(x))-1/4*atan(2^(1/2)*sinh(x))*2^(1/2)+sinh(x) +--R +--R +--R +-+ +-+ +--R - \|2 atan(\|2 sinh(x)) - atan(sinh(x)) + 4sinh(x) +--R (470) -------------------------------------------------- +--R 4 +--R Type: Expression Integer +--E 485 + +--S 486 of 518 +a0993:= integrate(t0993,x) +--R +--R +--R (471) +--R +-+ +-+ +--R \|2 sinh(x) + \|2 cosh(x) +--R (- sinh(x) - cosh(x))atan(-------------------------) +--R 2 +--R + +--R +-+ +-+ +--R (- \|2 sinh(x) - \|2 cosh(x))atan(sinh(x) + cosh(x)) +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R (sinh(x) + cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|2 sinh(x) - \|2 cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) - \|2 +--R / +--R +-+ +-+ +--R 2\|2 sinh(x) + 2\|2 cosh(x) +--R Type: Union(Expression Integer,...) +--E 486 + +--S 487 of 518 +m0993:= a0993-r0993 +--R +--R +--R (472) +--R +-+ +--R (2sinh(x) + 2cosh(x))atan(\|2 sinh(x)) +--R + +--R +-+ +-+ +--R \|2 sinh(x) + \|2 cosh(x) +--R (- 2sinh(x) - 2cosh(x))atan(-------------------------) +--R 2 +--R + +--R +-+ +-+ +--R (- 2\|2 sinh(x) - 2\|2 cosh(x))atan(sinh(x) + cosh(x)) +--R + +--R +-+ +-+ +--R (\|2 sinh(x) + \|2 cosh(x))atan(sinh(x)) +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R (2sinh(x) + 2cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|2 sinh(x) - \|2 cosh(x) +--R + +--R +-+ 2 +-+ 2 +-+ +--R - 2\|2 sinh(x) + 2\|2 cosh(x) - 2\|2 +--R / +--R +-+ +-+ +--R 4\|2 sinh(x) + 4\|2 cosh(x) +--R Type: Expression Integer +--E 487 + +--S 488 of 518 +d0993:= D(m0993,x) +--R +--R +--R (473) +--R 14 13 2 12 +--R 4sinh(x) + 32cosh(x)sinh(x) + (108cosh(x) + 42)sinh(x) +--R + +--R 3 11 +--R (192cosh(x) + 228cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (168cosh(x) + 518cosh(x) + 140)sinh(x) +--R + +--R 3 9 +--R (608cosh(x) + 551cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 168cosh(x) + 308cosh(x) + 921cosh(x) + 228)sinh(x) +--R + +--R 7 5 3 7 +--R (- 192cosh(x) - 120cosh(x) + 768cosh(x) + 641cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 108cosh(x) - 292cosh(x) + 156cosh(x) + 805cosh(x) + 216)sinh(x) +--R + +--R 9 7 5 3 +--R (- 32cosh(x) - 192cosh(x) - 266cosh(x) + 449cosh(x) + 377cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R - 4cosh(x) - 62cosh(x) - 210cosh(x) - 39cosh(x) + 371cosh(x) +--R + +--R 122 +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (- 12cosh(x) - 40cosh(x) - 165cosh(x) + 118cosh(x) + 97cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R (- 2cosh(x) + 16cosh(x) - 65cosh(x) - 46cosh(x) + 95cosh(x) + 36) +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (11cosh(x) + 3cosh(x) - 31cosh(x) + 11cosh(x) + 6cosh(x))sinh(x) +--R + +--R 10 8 6 4 2 +--R cosh(x) - cosh(x) - 13cosh(x) - 5cosh(x) + 14cosh(x) + 4 +--R / +--R 13 12 2 11 +--R 8sinh(x) + 72cosh(x)sinh(x) + (288cosh(x) + 68)sinh(x) +--R + +--R 3 10 +--R (672cosh(x) + 436cosh(x))sinh(x) +--R + +--R 4 2 9 +--R (1008cosh(x) + 1288cosh(x) + 208)sinh(x) +--R + +--R 5 3 8 +--R (1008cosh(x) + 2328cosh(x) + 936cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (672cosh(x) + 2832cosh(x) + 2052cosh(x) + 296)sinh(x) +--R + +--R 7 5 3 6 +--R (288cosh(x) + 2368cosh(x) + 2940cosh(x) + 912cosh(x))sinh(x) +--R + +--R 8 6 4 2 5 +--R (72cosh(x) + 1336cosh(x) + 2892cosh(x) + 1500cosh(x) + 208)sinh(x) +--R + +--R 9 7 5 3 +--R (8cosh(x) + 488cosh(x) + 1908cosh(x) + 1684cosh(x) + 424cosh(x)) +--R * +--R 4 +--R sinh(x) +--R + +--R 8 6 4 2 3 +--R (108cosh(x) + 828cosh(x) + 1272cosh(x) + 516cosh(x) + 68)sinh(x) +--R + +--R 9 7 5 3 +--R (12cosh(x) + 228cosh(x) + 608cosh(x) + 444cosh(x) + 92cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (36cosh(x) + 164cosh(x) + 204cosh(x) + 68cosh(x) + 8)sinh(x) +--R + +--R 9 7 5 3 +--R 4cosh(x) + 28cosh(x) + 60cosh(x) + 44cosh(x) + 8cosh(x) +--R Type: Expression Integer +--E 488 + +--S 489 of 518 +t0994:= coth(5*x)*sinh(x) +--R +--R +--R (474) coth(5x)sinh(x) +--R Type: Expression Integer +--E 489 + +--S 490 of 518 +r0994:= -(1-1/5*5^(1/2))*atan(2*2^(1/2)/(5-5^(1/2))^(1/2)*sinh(x))/_ + (10-2*5^(1/2))^(1/2)-_ + (1+1/5*5^(1/2))*atan(2*2^(1/2)/(5+5^(1/2))^(1/2)*sinh(x))/_ + (10+2*5^(1/2))^(1/2)+sinh(x) +--R +--R +--R (475) +--R +--------+ +--R +------------+ +-+ +-+ +-+ | +-+ +--R +-+ | +-+ (\|2 \|5 - 5\|2 )sinh(x)\|\|5 + 5 +--R (\|5 + 5)\|- 2\|5 + 10 atan(------------------------------------) +--R 10 +--R + +--R +----------+ +--R +----------+ +-+ +-+ +-+ | +-+ +--R +-+ | +-+ (\|2 \|5 + 5\|2 )sinh(x)\|- \|5 + 5 +--R (\|5 - 5)\|2\|5 + 10 atan(--------------------------------------) +--R 10 +--R + +--R +------------+ +----------+ +--R | +-+ | +-+ +--R 5sinh(x)\|- 2\|5 + 10 \|2\|5 + 10 +--R / +--R +------------+ +----------+ +--R | +-+ | +-+ +--R 5\|- 2\|5 + 10 \|2\|5 + 10 +--R Type: Expression Integer +--E 490 + +--S 491 of 518 +a0994:= integrate(t0994,x) +--R +--R +--R (476) +--R +--------+ +--R | +-+ +--R |\|5 + 1 +--R (2sinh(x) + 2cosh(x)) |-------- +--R | +-+ +--R \| 10\|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 1 +--R (5sinh(x) + 5cosh(x)) |-------- +--R | +-+ +--R \| 10\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 1 +--R (2sinh(x) + 2cosh(x)) |-------- +--R | +-+ +--R \| 10\|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 1 +--R (5sinh(x) + 5cosh(x)) |-------- +--R | +-+ +--R \| 10\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 491 + +--S 492 of 518 +m0994:= a0994-r0994 +--R +--R +--R (477) +--R +------------+ +--R +-+ +-+ | +-+ +--R ((- 2\|5 - 10)sinh(x) + (- 2\|5 - 10)cosh(x))\|- 2\|5 + 10 +--R * +--R +--------+ +--R +-+ +-+ +-+ | +-+ +--R (\|2 \|5 - 5\|2 )sinh(x)\|\|5 + 5 +--R atan(------------------------------------) +--R 10 +--R + +--R +--------+ +--R +------------+ | +-+ +----------+ +--R | +-+ |\|5 + 1 | +-+ +--R (10sinh(x) + 10cosh(x))\|- 2\|5 + 10 |-------- \|2\|5 + 10 +--R | +-+ +--R \| 10\|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 1 +--R (5sinh(x) + 5cosh(x)) |-------- +--R | +-+ +--R \| 10\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +--------+ +--R +------------+ | +-+ +----------+ +--R | +-+ |\|5 - 1 | +-+ +--R (10sinh(x) + 10cosh(x))\|- 2\|5 + 10 |-------- \|2\|5 + 10 +--R | +-+ +--R \| 10\|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 1 +--R (5sinh(x) + 5cosh(x)) |-------- +--R | +-+ +--R \| 10\|5 +--R atan(-----------------------------------------) +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1 +--R + +--R +----------+ +--R +-+ +-+ | +-+ +--R ((- 2\|5 + 10)sinh(x) + (- 2\|5 + 10)cosh(x))\|2\|5 + 10 +--R * +--R +----------+ +--R +-+ +-+ +-+ | +-+ +--R (\|2 \|5 + 5\|2 )sinh(x)\|- \|5 + 5 +--R atan(--------------------------------------) +--R 10 +--R + +--R +------------+ +----------+ +--R 2 2 | +-+ | +-+ +--R (- 5sinh(x) + 5cosh(x) - 5)\|- 2\|5 + 10 \|2\|5 + 10 +--R / +--R +------------+ +----------+ +--R | +-+ | +-+ +--R (10sinh(x) + 10cosh(x))\|- 2\|5 + 10 \|2\|5 + 10 +--R Type: Expression Integer +--E 492 + +--S 493 of 518 +d0994:= D(m0994,x) +--R +--R +--R (478) +--R +-+ 11 +-+ 2 10 +--R 8\|2 cosh(x)sinh(x) + 72\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ +-+ +-+ 9 +--R (288\|2 cosh(x) + (- \|2 \|5 + 13\|2 )cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ +-+ +-+ 2 8 +--R (672\|2 cosh(x) + (- 9\|2 \|5 + 101\|2 )cosh(x) )sinh(x) +--R + +--R +-+ 5 +-+ +-+ +-+ 3 +--R 1008\|2 cosh(x) + (- 36\|2 \|5 + 348\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (- \|2 \|5 + 13\|2 )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ +-+ +-+ 4 +--R 1008\|2 cosh(x) + (- 84\|2 \|5 + 700\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (- 7\|2 \|5 + 75\|2 )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ +-+ +-+ 5 +--R 672\|2 cosh(x) + (- 126\|2 \|5 + 910\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R (- 21\|2 \|5 + 185\|2 )cosh(x) + (- \|2 \|5 + 13\|2 )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ +-+ +-+ 6 +--R 288\|2 cosh(x) + (- 126\|2 \|5 + 798\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R (- 35\|2 \|5 + 255\|2 )cosh(x) + (- 5\|2 \|5 + 49\|2 )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ +-+ +-+ 7 +--R 72\|2 cosh(x) + (- 84\|2 \|5 + 476\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 5 +--R (- 35\|2 \|5 + 215\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R (- 10\|2 \|5 + 74\|2 )cosh(x) + (- \|2 \|5 + 13\|2 )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ +-+ +-+ 8 +--R 8\|2 cosh(x) + (- 36\|2 \|5 + 188\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 6 +--R (- 21\|2 \|5 + 113\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R (- 10\|2 \|5 + 58\|2 )cosh(x) + (- 3\|2 \|5 + 23\|2 )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 9 +-+ +-+ +-+ 7 +--R (- 9\|2 \|5 + 45\|2 )cosh(x) + (- 7\|2 \|5 + 35\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 5 +-+ +-+ +-+ 3 +--R (- 5\|2 \|5 + 25\|2 )cosh(x) + (- 3\|2 \|5 + 15\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (- \|2 \|5 + 5\|2 )cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ +-+ +-+ 10 +-+ +-+ +-+ 8 +--R (- \|2 \|5 + 5\|2 )cosh(x) + (- \|2 \|5 + 5\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 6 +-+ +-+ +-+ 4 +--R (- \|2 \|5 + 5\|2 )cosh(x) + (- \|2 \|5 + 5\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (- \|2 \|5 + 5\|2 )cosh(x) +--R * +--R +--------+ +----------+ +--R | +-+ | +-+ +--R \|\|5 + 5 \|2\|5 + 10 +--R + +--R +-+ 11 +-+ 2 10 +--R 8\|2 cosh(x)sinh(x) + 72\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 +-+ +-+ +-+ 9 +--R (288\|2 cosh(x) + (\|2 \|5 + 13\|2 )cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ +-+ +-+ 2 8 +--R (672\|2 cosh(x) + (9\|2 \|5 + 101\|2 )cosh(x) )sinh(x) +--R + +--R +-+ 5 +-+ +-+ +-+ 3 +--R 1008\|2 cosh(x) + (36\|2 \|5 + 348\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (\|2 \|5 + 13\|2 )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ +-+ +-+ 4 +--R 1008\|2 cosh(x) + (84\|2 \|5 + 700\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (7\|2 \|5 + 75\|2 )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ +-+ +-+ 5 +--R 672\|2 cosh(x) + (126\|2 \|5 + 910\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 3 +-+ +-+ +-+ +--R (21\|2 \|5 + 185\|2 )cosh(x) + (\|2 \|5 + 13\|2 )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ +-+ +-+ 6 +--R 288\|2 cosh(x) + (126\|2 \|5 + 798\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 4 +-+ +-+ +-+ 2 +--R (35\|2 \|5 + 255\|2 )cosh(x) + (5\|2 \|5 + 49\|2 )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ +-+ +-+ 7 +--R 72\|2 cosh(x) + (84\|2 \|5 + 476\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 5 +-+ +-+ +-+ 3 +--R (35\|2 \|5 + 215\|2 )cosh(x) + (10\|2 \|5 + 74\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (\|2 \|5 + 13\|2 )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ +-+ +-+ 8 +--R 8\|2 cosh(x) + (36\|2 \|5 + 188\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 6 +-+ +-+ +-+ 4 +--R (21\|2 \|5 + 113\|2 )cosh(x) + (10\|2 \|5 + 58\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (3\|2 \|5 + 23\|2 )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ +-+ +-+ 9 +-+ +-+ +-+ 7 +--R (9\|2 \|5 + 45\|2 )cosh(x) + (7\|2 \|5 + 35\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 5 +-+ +-+ +-+ 3 +--R (5\|2 \|5 + 25\|2 )cosh(x) + (3\|2 \|5 + 15\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ +--R (\|2 \|5 + 5\|2 )cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ +-+ +-+ 10 +-+ +-+ +-+ 8 +--R (\|2 \|5 + 5\|2 )cosh(x) + (\|2 \|5 + 5\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 6 +-+ +-+ +-+ 4 +--R (\|2 \|5 + 5\|2 )cosh(x) + (\|2 \|5 + 5\|2 )cosh(x) +--R + +--R +-+ +-+ +-+ 2 +--R (\|2 \|5 + 5\|2 )cosh(x) +--R * +--R +------------+ +----------+ +--R | +-+ | +-+ +--R \|- 2\|5 + 10 \|- \|5 + 5 +--R + +--R 14 13 2 12 +--R 160sinh(x) + 1280cosh(x)sinh(x) + (4320cosh(x) + 200)sinh(x) +--R + +--R 3 11 +--R (7680cosh(x) + 1280cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (6720cosh(x) + 3160cosh(x) + 50)sinh(x) +--R + +--R 3 9 +--R (2880cosh(x) - 320cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 6720cosh(x) - 2800cosh(x) - 3050cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 7680cosh(x) - 11200cosh(x) - 9200cosh(x) - 820cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 4320cosh(x) - 15120cosh(x) - 15100cosh(x) - 3660cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R - 1280cosh(x) - 11840cosh(x) - 15600cosh(x) - 7060cosh(x) +--R + +--R - 820cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 160cosh(x) - 5720cosh(x) - 10820cosh(x) - 7820cosh(x) +--R + +--R 2 +--R - 2020cosh(x) + 160 +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 1600cosh(x) - 5200cosh(x) - 5500cosh(x) - 2200cosh(x) +--R + +--R - 500cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 200cosh(x) - 1750cosh(x) - 2500cosh(x) - 1400cosh(x) +--R + +--R 2 +--R - 700cosh(x) + 200 +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (- 400cosh(x) - 700cosh(x) - 500cosh(x) - 300cosh(x) - 100cosh(x)) +--R * +--R sinh(x) +--R + +--R 10 8 6 4 2 +--R - 50cosh(x) - 100cosh(x) - 100cosh(x) - 100cosh(x) - 100cosh(x) + 50 +--R / +--R 13 12 2 11 +--R 320sinh(x) + 2880cosh(x)sinh(x) + (11520cosh(x) + 720)sinh(x) +--R + +--R 3 10 +--R (26880cosh(x) + 5840cosh(x))sinh(x) +--R + +--R 4 2 9 +--R (40320cosh(x) + 21120cosh(x) + 820)sinh(x) +--R + +--R 5 3 8 +--R (40320cosh(x) + 44800cosh(x) + 5300cosh(x))sinh(x) +--R + +--R 6 4 2 7 +--R (26880cosh(x) + 61600cosh(x) + 15200cosh(x) + 820)sinh(x) +--R + +--R 7 5 3 6 +--R (11520cosh(x) + 57120cosh(x) + 25600cosh(x) + 3660cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (2880cosh(x) + 35840cosh(x) + 28200cosh(x) + 7060cosh(x) + 820) +--R * +--R 5 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 320cosh(x) + 14720cosh(x) + 21320cosh(x) + 7820cosh(x) +--R + +--R 2020cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (3600cosh(x) + 11200cosh(x) + 5500cosh(x) + 2200cosh(x) + 500) +--R * +--R 3 +--R sinh(x) +--R + +--R 9 7 5 3 +--R (400cosh(x) + 4000cosh(x) + 2500cosh(x) + 1400cosh(x) + 700cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (900cosh(x) + 700cosh(x) + 500cosh(x) + 300cosh(x) + 100)sinh(x) +--R + +--R 9 7 5 3 +--R 100cosh(x) + 100cosh(x) + 100cosh(x) + 100cosh(x) + 100cosh(x) +--R Type: Expression Integer +--E 493 + +--S 494 of 518 +t0995:= coth(6*x)*sinh(x) +--R +--R +--R (479) coth(6x)sinh(x) +--R Type: Expression Integer +--E 494 + +--S 495 of 518 +r0995:= -1/6*atan(sinh(x))-1/6*atan(2*sinh(x))-_ + 1/6*atan(2/3*sinh(x)*3^(1/2))*3^(1/2)+sinh(x) +--R +--R +--R +-+ +--R +-+ 2\|3 sinh(x) +--R - \|3 atan(------------) - atan(2sinh(x)) - atan(sinh(x)) + 6sinh(x) +--R 3 +--R (480) -------------------------------------------------------------------- +--R 6 +--R Type: Expression Integer +--E 495 + +--S 496 of 518 +a0995:= integrate(t0995,x) +--R +--R +--R (481) +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R (- 3sinh(x) - 3cosh(x))atan(-------------------------) +--R 3 +--R + +--R 2 2 +--R +-+ +-+ sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R (\|3 sinh(x) + \|3 cosh(x))atan(-------------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +-+ +-+ +--R (- 3\|3 sinh(x) - 3\|3 cosh(x))atan(sinh(x) + cosh(x)) +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 2 +--R (3sinh(x) + 3cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|3 sinh(x) - \|3 cosh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 3\|3 sinh(x) + 6\|3 cosh(x)sinh(x) + 3\|3 cosh(x) - 3\|3 +--R / +--R +-+ +-+ +--R 6\|3 sinh(x) + 6\|3 cosh(x) +--R Type: Union(Expression Integer,...) +--E 496 + +--S 497 of 518 +m0995:= a0995-r0995 +--R +--R +--R (482) +--R +-+ +--R 2\|3 sinh(x) +--R (3sinh(x) + 3cosh(x))atan(------------) +--R 3 +--R + +--R +-+ +-+ +--R \|3 sinh(x) + \|3 cosh(x) +--R (- 3sinh(x) - 3cosh(x))atan(-------------------------) +--R 3 +--R + +--R +-+ +-+ +--R (\|3 sinh(x) + \|3 cosh(x))atan(2sinh(x)) +--R + +--R 2 2 +--R +-+ +-+ sinh(x) + 2cosh(x)sinh(x) + cosh(x) +--R (\|3 sinh(x) + \|3 cosh(x))atan(-------------------------------------) +--R sinh(x) - cosh(x) +--R + +--R +-+ +-+ +--R (- 3\|3 sinh(x) - 3\|3 cosh(x))atan(sinh(x) + cosh(x)) +--R + +--R +-+ +-+ +--R (\|3 sinh(x) + \|3 cosh(x))atan(sinh(x)) +--R + +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 2 +--R (3sinh(x) + 3cosh(x))atan(-----------------------------------------) +--R +-+ +-+ +--R \|3 sinh(x) - \|3 cosh(x) +--R + +--R +-+ 2 +-+ 2 +-+ +--R - 3\|3 sinh(x) + 3\|3 cosh(x) - 3\|3 +--R / +--R +-+ +-+ +--R 6\|3 sinh(x) + 6\|3 cosh(x) +--R Type: Expression Integer +--E 497 + +--S 498 of 518 +d0995:= D(m0995,x) +--R +--R +--R (483) +--R 20 19 2 18 +--R 16sinh(x) + 192cosh(x)sinh(x) + (1040cosh(x) + 272)sinh(x) +--R + +--R 3 17 +--R (3328cosh(x) + 2512cosh(x))sinh(x) +--R + +--R 4 2 16 +--R (6864cosh(x) + 10448cosh(x) + 1555)sinh(x) +--R + +--R 5 3 15 +--R (9152cosh(x) + 25632cosh(x) + 11064cosh(x))sinh(x) +--R + +--R 6 4 2 14 +--R (6864cosh(x) + 40336cosh(x) + 36407cosh(x) + 4480)sinh(x) +--R + +--R 5 3 13 +--R (40112cosh(x) + 72264cosh(x) + 23941cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 6864cosh(x) + 19536cosh(x) + 92751cosh(x) + 63182cosh(x) + 7523) +--R * +--R 12 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 9152cosh(x) - 8256cosh(x) + 73424cosh(x) + 104258cosh(x) +--R + +--R 29136cosh(x) +--R * +--R 11 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 6864cosh(x) - 24144cosh(x) + 23331cosh(x) + 111616cosh(x) +--R + +--R 2 +--R 62184cosh(x) + 7804 +--R * +--R 10 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 3328cosh(x) - 22480cosh(x) - 20080cosh(x) + 71971cosh(x) +--R + +--R 3 +--R 85808cosh(x) + 20250cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 1040cosh(x) - 12560cosh(x) - 31879cosh(x) + 14518cosh(x) +--R + +--R 4 2 +--R 77323cosh(x) + 36836cosh(x) + 5049 +--R * +--R 8 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 192cosh(x) - 4576cosh(x) - 20648cosh(x) - 19780cosh(x) +--R + +--R 5 3 +--R 40544cosh(x) + 41316cosh(x) + 7060cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 16cosh(x) - 1104cosh(x) - 7451cosh(x) - 20400cosh(x) +--R + +--R 6 4 2 +--R 4040cosh(x) + 31372cosh(x) + 13639cosh(x) + 1968 +--R * +--R 6 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 176cosh(x) - 1368cosh(x) - 8549cosh(x) - 9760cosh(x) +--R + +--R 5 3 +--R 13064cosh(x) + 10996cosh(x) + 425cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 16cosh(x) - 27cosh(x) - 1478cosh(x) - 6711cosh(x) +--R + +--R 6 4 2 +--R - 260cosh(x) + 7185cosh(x) + 3242cosh(x) + 417 +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 32cosh(x) + 162cosh(x) - 1456cosh(x) - 2148cosh(x) +--R + +--R 5 3 +--R 2212cosh(x) + 1250cosh(x) - 396cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R cosh(x) + 112cosh(x) + 16cosh(x) - 984cosh(x) - 323cosh(x) +--R + +--R 4 2 +--R 884cosh(x) + 474cosh(x) + 36 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 29cosh(x) + 112cosh(x) - 34cosh(x) - 172cosh(x) + 125cosh(x) +--R + +--R 3 +--R 12cosh(x) - 72cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R 2cosh(x) + 9cosh(x) - 16cosh(x) - 78cosh(x) - 22cosh(x) +--R + +--R 4 2 +--R 69cosh(x) + 36cosh(x) +--R / +--R 19 18 2 17 +--R 32sinh(x) + 416cosh(x)sinh(x) + (2496cosh(x) + 448)sinh(x) +--R + +--R 3 16 +--R (9152cosh(x) + 4544cosh(x))sinh(x) +--R + +--R 4 2 15 +--R (22880cosh(x) + 21504cosh(x) + 2278)sinh(x) +--R + +--R 5 3 14 +--R (41184cosh(x) + 63232cosh(x) + 17838cosh(x))sinh(x) +--R + +--R 6 4 2 13 +--R (54912cosh(x) + 129472cosh(x) + 67220cosh(x) + 5710)sinh(x) +--R + +--R 7 5 3 12 +--R (54912cosh(x) + 195264cosh(x) + 162164cosh(x) + 33286cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 41184cosh(x) + 222720cosh(x) + 278946cosh(x) + 101228cosh(x) +--R + +--R 7996 +--R * +--R 11 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 22880cosh(x) + 193536cosh(x) + 359050cosh(x) + 205340cosh(x) +--R + +--R 32348cosh(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 9152cosh(x) + 127296cosh(x) + 352440cosh(x) + 299794cosh(x) +--R + +--R 2 +--R 80184cosh(x) + 6532 +--R * +--R 9 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 2496cosh(x) + 62272cosh(x) + 263864cosh(x) + 329178cosh(x) +--R + +--R 3 +--R 138792cosh(x) + 16020cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 416cosh(x) + 22016cosh(x) + 148682cosh(x) + 276200cosh(x) +--R + +--R 4 2 +--R 172600cosh(x) + 32912cosh(x) + 3062 +--R * +--R 7 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 32cosh(x) + 5376cosh(x) + 61666cosh(x) + 174472cosh(x) +--R + +--R 5 3 +--R 160280cosh(x) + 49680cosh(x) + 3230cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 832cosh(x) + 18292cosh(x) + 80914cosh(x) + 112048cosh(x) +--R + +--R 4 2 +--R 52248cosh(x) + 5852cosh(x) + 750 +--R * +--R 5 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 64cosh(x) + 3732cosh(x) + 26842cosh(x) + 57392cosh(x) +--R + +--R 5 3 +--R 41144cosh(x) + 9020cosh(x) - 90cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 494cosh(x) + 6124cosh(x) + 20204cosh(x) + 22160cosh(x) +--R + +--R 4 2 +--R 7454cosh(x) + 36cosh(x) + 72 +--R * +--R 3 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 38cosh(x) + 924cosh(x) + 4844cosh(x) + 8592cosh(x) +--R + +--R 5 3 +--R 5366cosh(x) + 948cosh(x) - 72cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 78cosh(x) + 696cosh(x) + 1860cosh(x) + 1680cosh(x) +--R + +--R 4 2 +--R 366cosh(x) - 72cosh(x) +--R * +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 6cosh(x) + 72cosh(x) + 276cosh(x) + 432cosh(x) + 294cosh(x) +--R + +--R 3 +--R 72cosh(x) +--R Type: Expression Integer +--E 498 + +--S 499 of 518 +t0996:= sech(2*x)*sinh(x) +--R +--R +--R (484) sech(2x)sinh(x) +--R Type: Expression Integer +--E 499 + +--S 500 of 518 +r0996:= -1/2*atanh(2^(1/2)*cosh(x))*2^(1/2) +--R +--R +--R +-+ +-+ +--R \|2 atanh(\|2 cosh(x)) +--R (485) - ---------------------- +--R 2 +--R Type: Expression Integer +--E 500 + +--S 501 of 518 +a0996:= integrate(t0996,x) +--R +--R +--R +-+ 2 +-+ 2 +-+ +--R \|2 sinh(x) + \|2 cosh(x) - 4cosh(x) + 2\|2 +--R log(----------------------------------------------) +--R 2 2 +--R sinh(x) + cosh(x) +--R (486) --------------------------------------------------- +--R +-+ +--R 2\|2 +--R Type: Union(Expression Integer,...) +--E 501 + +--S 502 of 518 +m0996:= a0996-r0996 +--R +--R +--R (487) +--R +-+ 2 +-+ 2 +-+ +--R \|2 sinh(x) + \|2 cosh(x) - 4cosh(x) + 2\|2 +-+ +--R log(----------------------------------------------) + 2atanh(\|2 cosh(x)) +--R 2 2 +--R sinh(x) + cosh(x) +--R ------------------------------------------------------------------------- +--R +-+ +--R 2\|2 +--R Type: Expression Integer +--E 502 + +--S 503 of 518 +d0996:= D(m0996,x) +--R +--R +--R (488) +--R +-+ 5 +-+ 2 +-+ 3 +--R - \|2 sinh(x) + (- 4\|2 cosh(x) + 4cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 4 3 +-+ 2 +--R (5\|2 cosh(x) - 4cosh(x) - 5\|2 cosh(x) + 4cosh(x))sinh(x) +--R / +--R +-+ 2 +-+ 4 +--R (2\|2 cosh(x) - \|2 )sinh(x) +--R + +--R +-+ 4 3 +-+ 2 +-+ 2 +--R (4\|2 cosh(x) - 8cosh(x) + 2\|2 cosh(x) + 4cosh(x) - 2\|2 )sinh(x) +--R + +--R +-+ 6 5 +-+ 4 3 +-+ 2 +--R 2\|2 cosh(x) - 8cosh(x) + 3\|2 cosh(x) + 4cosh(x) - 2\|2 cosh(x) +--R Type: Expression Integer +--E 503 + +--S 504 of 518 +t0997:= sech(3*x)*sinh(x) +--R +--R +--R (489) sech(3x)sinh(x) +--R Type: Expression Integer +--E 504 + +--S 505 of 518 +r0997:= -1/3*atanh(-1+8/3*cosh(x)^2) +--R +--R +--R 2 +--R 8cosh(x) - 3 +--R atanh(-------------) +--R 3 +--R (490) - -------------------- +--R 3 +--R Type: Expression Integer +--E 505 + +--S 506 of 518 +a0997:= integrate(t0997,x) +--R +--R +--R (491) +--R 2 2 +--R 2sinh(x) + 2cosh(x) - 1 2cosh(x) +--R log(-------------------------------------) - 2log(- -----------------) +--R 2 2 sinh(x) - cosh(x) +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R ---------------------------------------------------------------------- +--R 6 +--R Type: Union(Expression Integer,...) +--E 506 + +--S 507 of 518 +m0997:= a0997-r0997 +--R +--R +--R (492) +--R 2 2 +--R 2sinh(x) + 2cosh(x) - 1 2cosh(x) +--R log(-------------------------------------) - 2log(- -----------------) +--R 2 2 sinh(x) - cosh(x) +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R 8cosh(x) - 3 +--R 2atanh(-------------) +--R 3 +--R / +--R 6 +--R Type: Expression Integer +--E 507 + +--S 508 of 518 +d0997:= D(m0997,x) +--R +--R +--R 3 3 +--R - 8cosh(x)sinh(x) + (8cosh(x) - 8cosh(x))sinh(x) +--R (493) ------------------------------------------------------- +--R 2 2 4 2 +--R (24cosh(x) - 18)sinh(x) + 24cosh(x) - 30cosh(x) + 9 +--R Type: Expression Integer +--E 508 + +--S 509 of 518 +t0998:= sech(4*x)*sinh(x) +--R +--R +--R (494) sech(4x)sinh(x) +--R Type: Expression Integer +--E 509 + +--S 510 of 518 +r0998:= 1/4*atanh(2*cosh(x)/(2-2^(1/2))^(1/2))*(2+2^(1/2))^(1/2)-_ + 1/4*atanh(2*cosh(x)/(2+2^(1/2))^(1/2))*(2-2^(1/2))^(1/2) +--R +--R +--R +--------+ +----------+ +--R | +-+ 2cosh(x) | +-+ 2cosh(x) +--R \|\|2 + 2 atanh(-------------) - \|- \|2 + 2 atanh(-----------) +--R +----------+ +--------+ +--R | +-+ | +-+ +--R \|- \|2 + 2 \|\|2 + 2 +--R (495) ----------------------------------------------------------------- +--R 4 +--R Type: Expression Integer +--E 510 + +--S 511 of 518 +a0998:= integrate(t0998,x) +--R +--R +--R (496) +--R - +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 + 1 +--R ((4\|2 - 8)sinh(x) + (4\|2 - 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R - +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 - 1 +--R ((4\|2 + 8)sinh(x) + (4\|2 + 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 - 1 +--R ((- 4\|2 - 8)sinh(x) + (- 4\|2 - 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 + 1 +--R ((- 4\|2 + 8)sinh(x) + (- 4\|2 + 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 511 + +--S 512 of 518 +m0998:= a0998-r0998 +--R +--R +--R (497) +--R - +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R 2 |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 + 1 +--R ((4\|2 - 8)sinh(x) + (4\|2 - 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R - +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R 2 |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 - 1 +--R ((4\|2 + 8)sinh(x) + (4\|2 + 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R +--------+ +--R | +-+ +--R |\|2 - 1 +--R 2 |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 - 1 +--R ((- 4\|2 - 8)sinh(x) + (- 4\|2 - 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R +--------+ +--R | +-+ +--R |\|2 + 1 +--R 2 |-------- +--R | +-+ +--R \| 8\|2 +--R * +--R log +--R +--------+ +--R | +-+ +--R +-+ +-+ |\|2 + 1 +--R ((- 4\|2 + 8)sinh(x) + (- 4\|2 + 8)cosh(x)) |-------- +--R | +-+ +--R \| 8\|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 +--R + +--R +--------+ +----------+ +--R | +-+ 2cosh(x) | +-+ 2cosh(x) +--R - \|\|2 + 2 atanh(-------------) + \|- \|2 + 2 atanh(-----------) +--R +----------+ +--------+ +--R | +-+ | +-+ +--R \|- \|2 + 2 \|\|2 + 2 +--R / +--R 4 +--R Type: Expression Integer +--E 512 + +--S 513 of 518 +d0998:= D(m0998,x) +--R +--R +--R (498) +--R +-+ 9 +-+ 8 +-+ 2 7 +--R - \|2 sinh(x) - 8\|2 cosh(x)sinh(x) - 28\|2 cosh(x) sinh(x) +--R + +--R +-+ 3 6 +-+ 4 5 +--R - 56\|2 cosh(x) sinh(x) - 70\|2 cosh(x) sinh(x) +--R + +--R +-+ 5 4 +-+ 6 3 +--R - 56\|2 cosh(x) sinh(x) - 28\|2 cosh(x) sinh(x) +--R + +--R +-+ 7 2 +-+ 8 +-+ +--R - 8\|2 cosh(x) sinh(x) + (- \|2 cosh(x) - \|2 )sinh(x) +--R * +--R +----------+ +--------+ +--R | +-+ | +-+ +--R \|- \|2 + 2 \|\|2 + 2 +--R + +--R 4 2 5 +--R (16cosh(x) - 16cosh(x) + 2)sinh(x) +--R + +--R 5 3 4 +--R (80cosh(x) - 80cosh(x) + 10cosh(x))sinh(x) +--R + +--R 6 4 2 3 +--R (160cosh(x) - 176cosh(x) + 36cosh(x) - 2)sinh(x) +--R + +--R 7 5 3 2 +--R (160cosh(x) - 208cosh(x) + 68cosh(x) - 6cosh(x))sinh(x) +--R + +--R 8 6 4 2 9 +--R (80cosh(x) - 128cosh(x) + 58cosh(x) - 6cosh(x) )sinh(x) + 16cosh(x) +--R + +--R 7 5 3 +--R - 32cosh(x) + 18cosh(x) - 2cosh(x) +--R / +--R 4 2 8 +--R (16cosh(x) - 16cosh(x) + 2)sinh(x) +--R + +--R 5 3 7 +--R (128cosh(x) - 128cosh(x) + 16cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (448cosh(x) - 448cosh(x) + 56cosh(x) )sinh(x) +--R + +--R 7 5 3 5 +--R (896cosh(x) - 896cosh(x) + 112cosh(x) )sinh(x) +--R + +--R 8 6 4 4 +--R (1120cosh(x) - 1120cosh(x) + 140cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R (896cosh(x) - 896cosh(x) + 112cosh(x) )sinh(x) +--R + +--R 10 8 6 2 +--R (448cosh(x) - 448cosh(x) + 56cosh(x) )sinh(x) +--R + +--R 11 9 7 12 +--R (128cosh(x) - 128cosh(x) + 16cosh(x) )sinh(x) + 16cosh(x) +--R + +--R 10 8 4 2 +--R - 16cosh(x) + 2cosh(x) + 16cosh(x) - 16cosh(x) + 2 +--R Type: Expression Integer +--E 513 + +--S 514 of 518 +t0999:= sech(5*x)*sinh(x) +--R +--R +--R (499) sech(5x)sinh(x) +--R Type: Expression Integer +--E 514 + +--S 515 of 518 +r0999:= -1/10*atanh(1/5*(3+8*sinh(x)^2)*5^(1/2))*5^(1/2)+1/10*log(cosh(x)^2)-_ + 1/20*log(1+12*sinh(x)^2+16*sinh(x)^4) +--R +--R +--R (500) +--R 4 2 2 +--R - log(16sinh(x) + 12sinh(x) + 1) + 2log(cosh(x) ) +--R + +--R +-+ 2 +-+ +--R +-+ 8\|5 sinh(x) + 3\|5 +--R - 2\|5 atanh(---------------------) +--R 5 +--R / +--R 20 +--R Type: Expression Integer +--E 515 + +--S 516 of 518 +a0999:= integrate(t0999,x) +--R +--R +--R (501) +--R 5 +--R * +--R log +--R +-+ 4 +-+ 2 +-+ 2 +--R 4\|5 sinh(x) + (24\|5 cosh(x) - 4\|5 - 20)sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 4\|5 cosh(x) + (- 4\|5 - 20)cosh(x) + 7\|5 + 5 +--R / +--R 4 2 2 4 2 +--R 2sinh(x) + (12cosh(x) - 2)sinh(x) + 2cosh(x) - 2cosh(x) + 1 +--R + +--R - +--R +-+ +--R \|5 +--R * +--R log +--R 4 2 2 4 2 +--R 2sinh(x) + (12cosh(x) - 2)sinh(x) + 2cosh(x) - 2cosh(x) +--R + +--R 1 +--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 +-+ 2cosh(x) +--R 4\|5 log(- -----------------) +--R sinh(x) - cosh(x) +--R / +--R +-+ +--R 20\|5 +--R Type: Union(Expression Integer,...) +--E 516 + +--S 517 of 518 +m0999:= a0999-r0999 +--R +--R +--R (502) +--R +-+ 4 2 +-+ 2 +--R \|5 log(16sinh(x) + 12sinh(x) + 1) - 2\|5 log(cosh(x) ) +--R + +--R 5 +--R * +--R log +--R +-+ 4 +-+ 2 +-+ 2 +--R 4\|5 sinh(x) + (24\|5 cosh(x) - 4\|5 - 20)sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 4\|5 cosh(x) + (- 4\|5 - 20)cosh(x) + 7\|5 + 5 +--R / +--R 4 2 2 4 2 +--R 2sinh(x) + (12cosh(x) - 2)sinh(x) + 2cosh(x) - 2cosh(x) + 1 +--R + +--R - +--R +-+ +--R \|5 +--R * +--R log +--R 4 2 2 4 2 +--R 2sinh(x) + (12cosh(x) - 2)sinh(x) + 2cosh(x) - 2cosh(x) +--R + +--R 1 +--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 +-+ 2cosh(x) 8\|5 sinh(x) + 3\|5 +--R 4\|5 log(- -----------------) + 10atanh(---------------------) +--R sinh(x) - cosh(x) 5 +--R / +--R +-+ +--R 20\|5 +--R Type: Expression Integer +--E 517 + +--S 518 of 518 +d0999:= D(m0999,x) +--R +--R +--R (503) +--R +-+ 11 +--R - 384\|5 cosh(x)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R (- 2048\|5 cosh(x) + (1888\|5 + 1920)cosh(x))sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R 1280\|5 cosh(x) + (- 1792\|5 + 640)cosh(x) +--R + +--R +-+ +--R (704\|5 - 1600)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R 1024\|5 cosh(x) + (- 3136\|5 - 1920)cosh(x) +--R + +--R +-+ 3 +-+ +--R (2848\|5 + 2720)cosh(x) + (- 1416\|5 - 2920)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R 128\|5 cosh(x) + (- 1024\|5 - 640)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (2560\|5 + 3840)cosh(x) + (- 1840\|5 - 4080)cosh(x) +--R + +--R +-+ +--R (128\|5 + 640)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 32\|5 cosh(x) + (32\|5 + 160)cosh(x) + (56\|5 - 40)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 32\|5 - 160)cosh(x) + (- 24\|5 + 40)cosh(x) +--R * +--R sinh(x) +--R / +--R +-+ 12 +-+ 2 +-+ 10 +--R 640\|5 sinh(x) + (7680\|5 cosh(x) - 800\|5 - 3200)sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (24320\|5 cosh(x) + (- 3200\|5 - 22400)cosh(x) + 1160\|5 + 1600) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R 7680\|5 cosh(x) + (9280\|5 - 22400)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3680\|5 - 5600)cosh(x) + 40\|5 + 400 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R 640\|5 cosh(x) + (4480\|5 - 3200)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 3120\|5 - 12800)cosh(x) + (5440\|5 + 4600)cosh(x) - 390\|5 +--R + +--R - 1150 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R 480\|5 cosh(x) + (- 480\|5 - 2400)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (1000\|5 + 1600)cosh(x) + (- 460\|5 - 1100)cosh(x) + 330\|5 + 150 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 40\|5 cosh(x) + (- 80\|5 - 200)cosh(x) + (130\|5 + 250)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 90\|5 - 150)cosh(x) + 35\|5 + 25 +--R Type: Expression Integer +--E 518 + +)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}