diff --git a/changelog b/changelog index 9db0e5d..3cfa3a2 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100613 tpd src/axiom-website/patches.html 20100613.03.tpd.patch +20100613 tpd src/input/Makefile rule-based hyper integration +20100613 tpd src/input/richhyper100-199.input rule-based hyper integration 20100613 tpd src/axiom-website/patches.html 20100613.02.tpd.patch 20100613 tpd books/bookvolbib add Jenks [JT18], [JT18a], [JT18b], [JWS87] 20100613 tpd src/axiom-website/patches.html 20100613.01.tpd.patch diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 9815e25..5c501e2 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2890,6 +2890,8 @@ src/input/richtrig900-920.input rule-based trig integration
src/input/richhyper000-099.input rule-based hyper integration 20100613.02.tpd.patch books/bookvolbib add Jenks [JT18], [JT18a], [JT18b], [JWS87]
+20100613.03.tpd.patch +src/input/richhyper100-199.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 9d71982..5549425 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -376,6 +376,7 @@ REGRES= ackermann.regress \ richalgebraic400-461.regress \ richexponential.regress \ richhyper000-099.regress \ + richhyper100-199.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -706,6 +707,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richalgebraic400-461.input \ ${OUT}/richexponential.input \ ${OUT}/richhyper000-099.input \ + ${OUT}/richhyper100-199.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1065,6 +1067,7 @@ DOCFILES= \ ${DOC}/richalgebraic400-461.input.dvi \ ${DOC}/richexponential.input.dvi \ ${DOC}/richhyper000-099.input.dvi \ + ${DOC}/richhyper100-199.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper100-199.input.pamphlet b/src/input/richhyper100-199.input.pamphlet new file mode 100644 index 0000000..b485882 --- /dev/null +++ b/src/input/richhyper100-199.input.pamphlet @@ -0,0 +1,23815 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper100-199.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper100-199.output +)spool richhyper100-199.output +)set message auto off +)clear all + +--S 1 of 510 +t0100:= x^2*sinh(a+b*x+c*x^2)^2 +--R +--R +--R 2 2 2 +--R (1) x sinh(c x + b x + a) +--R Type: Expression Integer +--E 1 + +--S 2 of 510 +r0100:= -1/6*x^3+1/64*(b^2+c)*exp(1)^(-2*a+1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)+_ + 1/64*(-c+b^2)*exp(1)^(2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)-_ + 1/16*b*sinh(2*a+2*b*x+2*c*x^2)/c^2+1/8*x*sinh(2*a+2*b*x+2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 510 +a0100:= integrate(t0100,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (2) | %I sinh(%I c + %I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 510 +--m0100:= a0100-r0100 +--E 4 + +--S 5 of 510 +--d0100:= D(m0100,x) +--E 5 + +--S 6 of 510 +t0101:= x^2*sinh(a+b*x-c*x^2)^2 +--R +--R +--R 2 2 2 +--R (3) x sinh(c x - b x - a) +--R Type: Expression Integer +--E 6 + +--S 7 of 510 +r0101:= -1/6*x^3-1/64*(b^2+c)*exp(1)^(2*a+1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erf(1/2*(b-2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)-_ + 1/64*(-c+b^2)*exp(1)^(-2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b-2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)-_ + 1/16*b*sinh(2*a+2*b*x-2*c*x^2)/c^2-1/8*x*sinh(2*a+2*b*x-2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--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 * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 7 + +--S 8 of 510 +a0101:= integrate(t0101,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (4) | %I sinh(%I c - %I b - a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 510 +--m0101:= a0101-r0101 +--E 9 + +--S 10 of 510 +--d0101:= D(m0101,x) +--E 10 + +--S 11 of 510 +t0102:= x^2*sinh(1/4+x+x^2)^2 +--R +--R +--R 2 2 +--R 2 4x + 4x + 1 +--R (5) x sinh(------------) +--R 4 +--R Type: Expression Integer +--E 11 + +--S 12 of 510 +r0102:= -1/6*x^3+1/32*2^(1/2)*%pi^(1/2)*erf(1/2*(1+2*x)*2^(1/2))-_ + 1/16*sinh(1/2+2*x+2*x^2)+1/8*x*sinh(1/2+2*x+2*x^2) +--R +--R There are 1 exposed and 1 unexposed library operations named erf +--R having 1 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op erf +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named erf +--R with argument type(s) +--R UnivariatePolynomial(x,AlgebraicNumber) +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 12 + +--S 13 of 510 +a0102:= integrate(t0102,x) +--R +--R +--R x 2 2 +--R ++ 2 4%I + 4%I + 1 +--R (6) | %I sinh(--------------) d%I +--R ++ 4 +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 510 +--m0102:= a0102-r0102 +--E 14 + +--S 15 of 510 +--d0102:= D(m0102,x) +--E 15 + +--S 16 of 510 +t0103:= (d+e*x)^2*sinh(a+b*x+c*x^2) +--R +--R +--R 2 2 2 2 +--R (7) (e x + 2d e x + d )sinh(c x + b x + a) +--R Type: Expression Integer +--E 16 + +--S 17 of 510 +r0103:= 1/4*e*(4*c*d-b*e)*cosh(a+b*x+c*x^2)/c^2+1/2*e^2*x*_ + cosh(a+b*x+c*x^2)/c-1/16*(4*c^2*d^2-2*c*(2*b*d-e)*e+b^2*e^2)*_ + exp(1)^(-a+1/4*b^2/c)*%pi^(1/2)*erf(1/2*(b+2*c*x)/c^(1/2))/c^(5/2)+_ + 1/16*(4*c^2*d^2+b^2*e^2-2*c*e*(2*b*d+e))*_ + exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)/c^(1/2))/c^(5/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 17 + +--S 18 of 510 +a0103:= integrate(t0103,x) +--R +--R +--R x +--R ++ 2 2 2 2 +--R (8) | (%I e + 2%I d e + d )sinh(%I c + %I b + a)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 510 +--m0103:= a0103-r0103 +--E 19 + +--S 20 of 510 +--d0103:= D(m0103,x) +--E 20 + +--S 21 of 510 +t0104:= (d+e*x)*sinh(a+b*x+c*x^2) +--R +--R +--R 2 +--R (9) (e x + d)sinh(c x + b x + a) +--R Type: Expression Integer +--E 21 + +--S 22 of 510 +r0104:= 1/2*e*cosh(a+b*x+c*x^2)/c-1/8*(2*c*d-b*e)*_ + exp(1)^(-a+1/4*b^2/c)*%pi^(1/2)*erf(1/2*(b+2*c*x)/c^(1/2))/c^(3/2)+_ + 1/8*(2*c*d-b*e)*exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)/c^(1/2))/c^(3/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 22 + +--S 23 of 510 +a0104:= integrate(t0104,x) +--R +--R +--R x +--R ++ 2 +--R (10) | (%I e + d)sinh(%I c + %I b + a)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 510 +--m0104:= a0104-r0104 +--E 24 + +--S 25 of 510 +--d0104:= D(m0104,x) +--E 25 + +--S 26 of 510 +t0105:= (d+e*x)^2*sinh(a+b*x+c*x^2)^2 +--R +--R +--R 2 2 2 2 2 +--R (11) (e x + 2d e x + d )sinh(c x + b x + a) +--R Type: Expression Integer +--E 26 + +--S 27 of 510 +r0105:= -1/2*d^2*x-1/2*d*e*x^2-1/6*e^2*x^3+1/64*(4*c^2*d^2-c*(4*b*d-e)*e+_ + b^2*e^2)*exp(1)^(-2*a+1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)+_ + 1/64*(4*c^2*d^2+b^2*e^2-c*e*(4*b*d+e))*_ + exp(1)^(2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)+1/4*d*e*_ + sinh(2*a+2*b*x+2*c*x^2)/c-1/16*b*e^2*sinh(2*a+2*b*x+2*c*x^2)/c^2+_ + 1/8*e^2*x*sinh(2*a+2*b*x+2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--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 * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 27 + +--S 28 of 510 +a0105:= integrate(t0105,x) +--R +--R +--R x +--R ++ 2 2 2 2 2 +--R (12) | (%I e + 2%I d e + d )sinh(%I c + %I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 510 +--m0105:= a0105-r0105 +--E 29 + +--S 30 of 510 +--d0105:= D(m0105,x) +--E 30 + +--S 31 of 510 +t0106:= (d+e*x)*sinh(a+b*x+c*x^2)^2 +--R +--R +--R 2 2 +--R (13) (e x + d)sinh(c x + b x + a) +--R Type: Expression Integer +--E 31 + +--S 32 of 510 +r0106:= -1/2*d*x-1/4*e*x^2+1/32*(2*c*d-b*e)*exp(1)^(-2*a+1/2*b^2/c)*_ + 2^(1/2)*%pi^(1/2)*erf(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(3/2)+_ + 1/32*(2*c*d-b*e)*exp(1)^(2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(3/2)+1/8*e*_ + sinh(2*a+2*b*x+2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 32 + +--S 33 of 510 +a0106:= integrate(t0106,x) +--R +--R +--R x +--R ++ 2 2 +--R (14) | (%I e + d)sinh(%I c + %I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 510 +--m0106:= a0106-r0106 +--E 34 + +--S 35 of 510 +--d0106:= D(m0106,x) +--E 35 + +--S 36 of 510 +t0107:= sinh((a+b*x)/(c+d*x)) +--R +--R +--R b x + a +--R (15) sinh(-------) +--R d x + c +--R Type: Expression Integer +--E 36 + +--S 37 of 510 +r0107:= (b*c-a*d)*cosh(b/d)*Chi(-(b*c-a*d)/d/(c+d*x))/d^2+_ + (c+d*x)*sinh((a+b*x)/(c+d*x))/d+(b*c-a*d)*_ + sinh(b/d)*Shi(a/(c+d*x)-b*c/d/(c+d*x))/d^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 37 + +--S 38 of 510 +a0107:= integrate(t0107,x) +--R +--R +--R x +--R ++ %I b + a +--R (16) | sinh(--------)d%I +--R ++ %I d + c +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 510 +--m0107:= a0107-r0107 +--E 39 + +--S 40 of 510 +--d0107:= D(m0107,x) +--E 40 + +--S 41 of 510 +t0108:= sinh((a+b*x)/(c+d*x))^2 +--R +--R +--R b x + a 2 +--R (17) sinh(-------) +--R d x + c +--R Type: Expression Integer +--E 41 + +--S 42 of 510 +r0108:= -1/2*x+1/2*(c+d*x)*cosh(2*(a+b*x)/(c+d*x))/d+(b*c-a*d)*_ + Chi(-2*(b*c-a*d)/d/(c+d*x))*sinh(2*b/d)/d^2+_ + (b*c-a*d)*cosh(2*b/d)*Shi(2*a/(c+d*x)-2*b*c/d/(c+d*x))/d^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 42 + +--S 43 of 510 +a0108:= integrate(t0108,x) +--R +--R +--R x +--R ++ %I b + a 2 +--R (18) | sinh(--------) d%I +--R ++ %I d + c +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 510 +--m0108:= a0108-r0108 +--E 44 + +--S 45 of 510 +--d0108:= D(m0108,x) +--E 45 + +--S 46 of 510 +t0109:= x^2*sinh(a+b*x^2) +--R +--R +--R 2 2 +--R (19) x sinh(b x + a) +--R Type: Expression Integer +--E 46 + +--S 47 of 510 +r0109:= 1/8*(4*x*cosh(a+b*x^2)*exp(a)*b^(1/2)-%pi^(1/2)*erf(b^(1/2)*x)+_ + %i*exp(2*a)*%pi^(1/2)*erf(%i*b^(1/2)*x))*exp(-a)/b^(3/2) +--R +--R +--R (20) +--R - a +---+ +-+ - a 2a +---+ +-+ +--R - %e \|%pi erf(x\|b ) + %i %e %e \|%pi erf(%i x\|b ) +--R + +--R 2 - a a +-+ +--R 4x cosh(b x + a)%e %e \|b +--R / +--R +-+ +--R 8b\|b +--R Type: Expression Complex Integer +--E 47 + +--S 48 of 510 +a0109:= integrate(t0109,x) +--R +--R +--R x +--R ++ 2 2 +--R (21) | %I sinh(%I b + a)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 510 +--m0109:= a0109-r0109 +--E 49 + +--S 50 of 510 +--d0109:= D(m0109,x) +--E 50 + +--S 51 of 510 +t0110:= sinh(a+b*x^2) +--R +--R +--R 2 +--R (22) sinh(b x + a) +--R Type: Expression Integer +--E 51 + +--S 52 of 510 +r0110:= -1/4*%pi^(1/2)*(erf(b^(1/2)*x)+%i*exp(2*a)*_ + erf(%i*b^(1/2)*x))*exp(-a)/b^(1/2) +--R +--R +--R - a +---+ +-+ - a 2a +---+ +-+ +--R - %e \|%pi erf(x\|b ) - %i %e %e \|%pi erf(%i x\|b ) +--R (23) --------------------------------------------------------- +--R +-+ +--R 4\|b +--R Type: Expression Complex Integer +--E 52 + +--S 53 of 510 +a0110:= integrate(t0110,x) +--R +--R +--R x +--R ++ 2 +--R (24) | sinh(%I b + a)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 510 +--m0110:= a0110-r0110 +--E 54 + +--S 55 of 510 +--d0110:= D(m0110,x) +--E 55 + +--S 56 of 510 +t0111:= sinh(a+b*x^2)/x^2 +--R +--R +--R 2 +--R sinh(b x + a) +--R (25) -------------- +--R 2 +--R x +--R Type: Expression Integer +--E 56 + +--S 57 of 510 +r0111:= 1/2*b^(1/2)*%pi^(1/2)*erf(b^(1/2)*x)/(exp(1)^a)+_ + 1/2*b^(1/2)*exp(1)^a*%pi^(1/2)*erfi(b^(1/2)*x)-sinh(a+b*x^2)/x +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 57 + +--S 58 of 510 +a0111:= integrate(t0111,x) +--R +--R +--R x 2 +--R ++ sinh(%I b + a) +--R (26) | -------------- d%I +--R ++ 2 +--R %I +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 510 +--m0111:= a0111-r0111 +--E 59 + +--S 60 of 510 +--d0111:= D(m0111,x) +--E 60 + +--S 61 of 510 +t0112:= sinh(a+b*x^2)/x^3 +--R +--R +--R 2 +--R sinh(b x + a) +--R (27) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 61 + +--S 62 of 510 +r0112:= 1/2*b*cosh(a)*Chi(b*x^2)-1/2*sinh(a+b*x^2)/x^2+_ + 1/2*b*sinh(a)*Shi(b*x^2) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 62 + +--S 63 of 510 +a0112:= integrate(t0112,x) +--R +--R +--R x 2 +--R ++ sinh(%I b + a) +--R (28) | -------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 510 +--m0112:= a0112-r0112 +--E 64 + +--S 65 of 510 +--d0112:= D(m0112,x) +--E 65 + +--S 66 of 510 +t0113:= sinh(a+b*x^2)^2/x^3 +--R +--R +--R 2 2 +--R sinh(b x + a) +--R (29) --------------- +--R 3 +--R x +--R Type: Expression Integer +--E 66 + +--S 67 of 510 +r0113:= -1/4*(-1+cosh(2*a+2*b*x^2)-2*b*Chi(2*b*x^2)*sinh(2*a)*x^2-_ + 2*b*cosh(2*a)*Shi(2*b*x^2)*x^2)/x^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 67 + +--S 68 of 510 +a0113:= integrate(t0113,x) +--R +--R +--R x 2 2 +--R ++ sinh(%I b + a) +--R (30) | --------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 510 +--m0113:= a0113-r0113 +--E 69 + +--S 70 of 510 +--d0113:= D(m0113,x) +--E 70 + +--S 71 of 510 +t0114:= x^2*sinh(a+b*x^2)^3 +--R +--R +--R 2 2 3 +--R (31) x sinh(b x + a) +--R Type: Expression Integer +--E 71 + +--S 72 of 510 +r0114:= 1/288*exp(-3*a)*(-108*x*cosh(a+b*x^2)*exp(3*a)*b^(1/2)+_ + 12*x*cosh(3*a+3*b*x^2)*exp(3*a)*b^(1/2)+27*%pi^(1/2)*_ + erf(b^(1/2)*x)*exp(2*a)-3^(1/2)*%pi^(1/2)*erf(3^(1/2)*b^(1/2)*x)-_ + 27*%i*exp(4*a)*%pi^(1/2)*erf(%i*b^(1/2)*x)+_ + %i*exp(6*a)*3^(1/2)*%pi^(1/2)*erf(%i*3^(1/2)*b^(1/2)*x))/b^(3/2) +--R +--R +--R (32) +--R +-+ - 3a +---+ +-+ +-+ +--R - \|3 %e \|%pi erf(x\|3 \|b ) +--R + +--R +-+ - 3a 6a +---+ +-+ +-+ - 3a 2a +---+ +-+ +--R %i\|3 %e %e \|%pi erf(%i x\|3 \|b ) + 27%e %e \|%pi erf(x\|b ) +--R + +--R - 3a 4a +---+ +-+ +--R - 27%i %e %e \|%pi erf(%i x\|b ) +--R + +--R 2 2 - 3a 3a +-+ +--R (12x cosh(3b x + 3a) - 108x cosh(b x + a))%e %e \|b +--R / +--R +-+ +--R 288b\|b +--R Type: Expression Complex Integer +--E 72 + +--S 73 of 510 +a0114:= integrate(t0114,x) +--R +--R +--R x +--R ++ 2 2 3 +--R (33) | %I sinh(%I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 510 +--m0114:= a0114-r0114 +--E 74 + +--S 75 of 510 +--d0114:= D(m0114,x) +--E 75 + +--S 76 of 510 +t0115:= sinh(a+b*x^2)^3 +--R +--R +--R 2 3 +--R (34) sinh(b x + a) +--R Type: Expression Integer +--E 76 + +--S 77 of 510 +r0115:= 1/48*%pi^(1/2)*exp(-3*a)*(9*erf(b^(1/2)*x)*exp(2*a)-_ + 3^(1/2)*erf(3^(1/2)*b^(1/2)*x)+9*%i*exp(4*a)*erf(%i*b^(1/2)*x)-_ + %i*exp(6*a)*3^(1/2)*erf(%i*3^(1/2)*b^(1/2)*x))/b^(1/2) +--R +--R +--R (35) +--R +-+ - 3a +---+ +-+ +-+ +--R - \|3 %e \|%pi erf(x\|3 \|b ) +--R + +--R +-+ - 3a 6a +---+ +-+ +-+ - 3a 2a +---+ +-+ +--R - %i\|3 %e %e \|%pi erf(%i x\|3 \|b ) + 9%e %e \|%pi erf(x\|b ) +--R + +--R - 3a 4a +---+ +-+ +--R 9%i %e %e \|%pi erf(%i x\|b ) +--R / +--R +-+ +--R 48\|b +--R Type: Expression Complex Integer +--E 77 + +--S 78 of 510 +a0115:= integrate(t0115,x) +--R +--R +--R x +--R ++ 2 3 +--R (36) | sinh(%I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 510 +--m0115:= a0115-r0115 +--E 79 + +--S 80 of 510 +--d0115:= D(m0115,x) +--E 80 + +--S 81 of 510 +t0116:= sinh(a+b*x^2)^3/x^3 +--R +--R +--R 2 3 +--R sinh(b x + a) +--R (37) --------------- +--R 3 +--R x +--R Type: Expression Integer +--E 81 + +--S 82 of 510 +r0116:= -3/8*b*cosh(a)*Chi(b*x^2)+3/8*b*cosh(3*a)*Chi(3*b*x^2)+_ + 3/8*sinh(a+b*x^2)/x^2-1/8*sinh(3*a+3*b*x^2)/x^2-_ + 3/8*b*sinh(a)*Shi(b*x^2)+3/8*b*sinh(3*a)*Shi(3*b*x^2) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 82 + +--S 83 of 510 +a0116:= integrate(t0116,x) +--R +--R +--R x 2 3 +--R ++ sinh(%I b + a) +--R (38) | --------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 510 +--m0116:= a0116-r0116 +--E 84 + +--S 85 of 510 +--d0116:= D(m0116,x) +--E 85 + +--S 86 of 510 +t0117:= sinh(a+b*x^n) +--R +--R +--R n +--R (39) sinh(b x + a) +--R Type: Expression Integer +--E 86 + +--S 87 of 510 +r0117:= 1/2*x*(-exp(a)*Gamma(1/n,-b*x^n)*(-b*x^n)^(-1/n)+_ + Gamma(1/n,b*x^n)*exp(-a)*(b*x^n)^(-1/n))/n +--R +--R +--R 1 1 +--R - - - - +--R - a n n _ 1 n a n n _ 1 n +--R x %e (b x ) | (-,b x ) - x %e (- b x ) | (-,- b x ) +--R n n +--R (40) --------------------------------------------------------- +--R 2n +--R Type: Expression Integer +--E 87 + +--S 88 of 510 +a0117:= integrate(t0117,x) +--R +--R +--R x +--R ++ n +--R (41) | sinh(b %I + a)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 510 +--m0117:= a0117-r0117 +--E 89 + +--S 90 of 510 +--d0117:= D(m0117,x) +--E 90 + +--S 91 of 510 +t0118:= sinh(a+b*x^n)^2 +--R +--R +--R n 2 +--R (42) sinh(b x + a) +--R Type: Expression Integer +--E 91 + +--S 92 of 510 +r0118:= -1/2*x*(2^(-(1+n)/n)*exp(2*a)*(-b*x^n)^(-1/n)*_ + Gamma(1/n,-2*b*x^n)+2^(-(1+n)/n)*exp(-2*a)*(b*x^n)^(-1/n)*_ + Gamma(1/n,2*b*x^n)+n)/n +--R +--R +--R (43) +--R - n - 1 1 +--R ------- - - +--R - 2a n n n _ 1 n +--R - x %e 2 (b x ) | (-,2b x ) +--R n +--R + +--R - n - 1 1 +--R ------- - - +--R 2a n n n _ 1 n +--R - x %e 2 (- b x ) | (-,- 2b x ) - n x +--R n +--R / +--R 2n +--R Type: Expression Integer +--E 92 + +--S 93 of 510 +a0118:= integrate(t0118,x) +--R +--R +--R x +--R ++ n 2 +--R (44) | sinh(b %I + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 510 +--m0118:= a0118-r0118 +--E 94 + +--S 95 of 510 +--d0118:= D(m0118,x) +--E 95 + +--S 96 of 510 +t0119:= sinh(a+b*x^n)^3 +--R +--R +--R n 3 +--R (45) sinh(b x + a) +--R Type: Expression Integer +--E 96 + +--S 97 of 510 +r0119:= -1/8*x*(exp(3*a)*Gamma(1/n,-3*b*x^n)*3^(-1/n)*(-b*x^n)^(-1/n)-_ + 3*exp(a)*Gamma(1/n,-b*x^n)*(-b*x^n)^(-1/n)+_ + 3*Gamma(1/n,b*x^n)*exp(-a)*(b*x^n)^(-1/n)-_ + Gamma(1/n,3*b*x^n)*3^(-1/n)*exp(-3*a)*(b*x^n)^(-1/n))/n +--R +--R +--R (46) +--R 1 1 1 +--R - - - - - - +--R - 3a n n n _ 1 n - a n n _ 1 n +--R x %e 3 (b x ) | (-,3b x ) - 3x %e (b x ) | (-,b x ) +--R n n +--R + +--R 1 1 1 +--R - - - - - - +--R a n n _ 1 n 3a n n n _ 1 n +--R 3x %e (- b x ) | (-,- b x ) - x %e 3 (- b x ) | (-,- 3b x ) +--R n n +--R / +--R 8n +--R Type: Expression Integer +--E 97 + +--S 98 of 510 +a0119:= integrate(t0119,x) +--R +--R +--R x +--R ++ n 3 +--R (47) | sinh(b %I + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 98 + +--S 99 of 510 +--m0119:= a0119-r0119 +--E 99 + +--S 100 of 510 +--d0119:= D(m0119,x) +--E 100 + +--S 101 of 510 +t0120:= x^m*sinh(a+b*x^n) +--R +--R +--R m n +--R (48) x sinh(b x + a) +--R Type: Expression Integer +--E 101 + +--S 102 of 510 +r0120:= -1/2*x*x^m*(exp(a)*Gamma((1+m)/n,-b*x^n)*(-b*x^n)^(-(1+m)/n)-_ + Gamma((1+m)/n,b*x^n)*exp(-a)*(b*x^n)^(-(1+m)/n))/n +--R +--R +--R (49) +--R - m - 1 - m - 1 +--R ------- ------- +--R - a m n n _ m + 1 n a m n n _ m + 1 n +--R x %e x (b x ) | (-----,b x ) - x %e x (- b x ) | (-----,- b x ) +--R n n +--R ----------------------------------------------------------------------------- +--R 2n +--R Type: Expression Integer +--E 102 + +--S 103 of 510 +a0120:= integrate(t0120,x) +--R +--R +--R x +--R ++ m n +--R (50) | %I sinh(b %I + a)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 510 +--m0120:= a0120-r0120 +--E 104 + +--S 105 of 510 +--d0120:= D(m0120,x) +--E 105 + +--S 106 of 510 +t0121:= x^m*sinh(a+b*x^n)^2 +--R +--R +--R m n 2 +--R (51) x sinh(b x + a) +--R Type: Expression Integer +--E 106 + +--S 107 of 510 +r0121:= -x^(1+m)/(2+2*m)-2^(-2-(1+m)/n)*exp(1)^(2*a)*x^(1+m)*_ + Gamma((1+m)/n,-2*b*x^n)/((-b*x^n)^((1+m)/n))/n-_ + 2^(-2-(1+m)/n)*x^(1+m)*_ + Gamma((1+m)/n,2*b*x^n)/(exp(1)^(2*a))/((b*x^n)^((1+m)/n))/n +--R +--R +--R (52) +--R - 2n - m - 1 m + 1 +--R ------------ ----- +--R n m + 1 n n _ m + 1 n +--R (- 2m - 2)2 x (- b x ) | (-----,2b x ) +--R n +--R + +--R - 2n - m - 1 m + 1 +--R ------------ ----- +--R 2a 2 n m + 1 n n _ m + 1 n +--R (- 2m - 2)(%e ) 2 x (b x ) | (-----,- 2b x ) +--R n +--R + +--R m + 1 m + 1 +--R ----- ----- +--R 2a m + 1 n n n n +--R - n %e x (- b x ) (b x ) +--R / +--R m + 1 m + 1 +--R ----- ----- +--R 2a n n n n +--R (2m + 2)n %e (- b x ) (b x ) +--R Type: Expression Integer +--E 107 + +--S 108 of 510 +a0121:= integrate(t0121,x) +--R +--R +--R x +--R ++ m n 2 +--R (53) | %I sinh(b %I + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 510 +--m0121:= a0121-r0121 +--E 109 + +--S 110 of 510 +--d0121:= D(m0121,x) +--E 110 + +--S 111 of 510 +t0122:= x^m*sinh(a+b*x^n)^3 +--R +--R +--R m n 3 +--R (54) x sinh(b x + a) +--R Type: Expression Integer +--E 111 + +--S 112 of 510 +r0122:= 1/8*x*x^m*(-exp(3*a)*_ + Gamma((1+m)/n,-3*b*x^n)*3^(-(1+m)/n)*(-b*x^n)^(-(1+m)/n)+3*exp(a)*_ + Gamma((1+m)/n,-b*x^n)*(-b*x^n)^(-(1+m)/n)-3*_ + Gamma((1+m)/n,b*x^n)*exp(-a)*(b*x^n)^(-(1+m)/n)+_ + Gamma((1+m)/n,3*b*x^n)*3^(-(1+m)/n)*exp(-3*a)*(b*x^n)^(-(1+m)/n))/n +--R +--R +--R (55) +--R - m - 1 - m - 1 +--R ------- ------- +--R - 3a n m n n _ m + 1 n +--R x %e 3 x (b x ) | (-----,3b x ) +--R n +--R + +--R - m - 1 +--R ------- +--R - a m n n _ m + 1 n +--R - 3x %e x (b x ) | (-----,b x ) +--R n +--R + +--R - m - 1 +--R ------- +--R a m n n _ m + 1 n +--R 3x %e x (- b x ) | (-----,- b x ) +--R n +--R + +--R - m - 1 - m - 1 +--R ------- ------- +--R 3a n m n n _ m + 1 n +--R - x %e 3 x (- b x ) | (-----,- 3b x ) +--R n +--R / +--R 8n +--R Type: Expression Integer +--E 112 + +--S 113 of 510 +a0122:= integrate(t0122,x) +--R +--R +--R x +--R ++ m n 3 +--R (56) | %I sinh(b %I + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 510 +--m0122:= a0122-r0122 +--E 114 + +--S 115 of 510 +--d0122:= D(m0122,x) +--E 115 + +--S 116 of 510 +t0123:= sinh(a+b/x) +--R +--R +--R a x + b +--R (57) sinh(-------) +--R x +--R Type: Expression Integer +--E 116 + +--S 117 of 510 +r0123:= -b*cosh(a)*Chi(b/x)+x*sinh(a+b/x)-b*sinh(a)*Shi(b/x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 117 + +--S 118 of 510 +a0123:= integrate(t0123,x) +--R +--R +--R x +--R ++ b + %I a +--R (58) | sinh(--------)d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 510 +--m0123:= a0123-r0123 +--E 119 + +--S 120 of 510 +--d0123:= D(m0123,x) +--E 120 + +--S 121 of 510 +t0124:= sinh(a+b/x)/x +--R +--R +--R a x + b +--R sinh(-------) +--R x +--R (59) ------------- +--R x +--R Type: Expression Integer +--E 121 + +--S 122 of 510 +r0124:= -Chi(b/x)*sinh(a)-cosh(a)*Shi(b/x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 122 + +--S 123 of 510 +a0124:= integrate(t0124,x) +--R +--R +--R b + %I a +--R x sinh(--------) +--R ++ %I +--R (60) | -------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 510 +--m0124:= a0124-r0124 +--E 124 + +--S 125 of 510 +--d0124:= D(m0124,x) +--E 125 + +--S 126 of 510 +t0125:= sinh(a+b/x^2)/x^4 +--R +--R +--R 2 +--R a x + b +--R sinh(--------) +--R 2 +--R x +--R (61) -------------- +--R 4 +--R x +--R Type: Expression Integer +--E 126 + +--S 127 of 510 +r0125:= -1/2*cosh(a+b/x^2)/b/x+1/8*%pi^(1/2)*_ + erf(b^(1/2)/x)/(exp(1)^a)/b^(3/2)+1/8*_ + exp(1)^a*%pi^(1/2)*erfi(b^(1/2)/x)/b^(3/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 127 + +--S 128 of 510 +a0125:= integrate(t0125,x) +--R +--R +--R 2 +--R b + %I a +--R sinh(--------) +--R x 2 +--R ++ %I +--R (62) | -------------- d%I +--R ++ 4 +--R %I +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 510 +--m0125:= a0125-r0125 +--E 129 + +--S 130 of 510 +--d0125:= D(m0125,x) +--E 130 + +--S 131 of 510 +t0126:= x/sinh(x)^(3/2)-x*sinh(x)^(1/2) +--R +--R +--R 2 +--R - x sinh(x) + x +--R (63) ----------------- +--R +-------+ +--R sinh(x)\|sinh(x) +--R Type: Expression Integer +--E 131 + +--S 132 of 510 +r0126:= -2*(x*cosh(x)-2*sinh(x))/sinh(x)^(1/2) +--R +--R +--R 4sinh(x) - 2x cosh(x) +--R (64) --------------------- +--R +-------+ +--R \|sinh(x) +--R Type: Expression Integer +--E 132 + +--S 133 of 510 +a0126:= integrate(t0126,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 133 + +--S 134 of 510 +--m0126:= a0126-r0126 +--E 134 + +--S 135 of 510 +--d0126:= D(m0126,x) +--E 135 + +--S 136 of 510 +t0127:= x/sinh(x)^(5/2)+1/3*x/sinh(x)^(1/2) +--R +--R +--R 2 +--R x sinh(x) + 3x +--R (65) ------------------- +--R 2 +-------+ +--R 3sinh(x) \|sinh(x) +--R Type: Expression Integer +--E 136 + +--S 137 of 510 +r0127:= -2/3*(x*cosh(x)+2*sinh(x))/sinh(x)^(3/2) +--R +--R +--R - 4sinh(x) - 2x cosh(x) +--R (66) ----------------------- +--R +-------+ +--R 3sinh(x)\|sinh(x) +--R Type: Expression Integer +--E 137 + +--S 138 of 510 +a0127:= integrate(t0127,x) +--R +--R +--R (67) +--R 3 2 +--R (- 4x - 8)sinh(x) + (- 12x - 24)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((- 12x - 24)cosh(x) - 4x + 8)sinh(x) + (- 4x - 8)cosh(x) +--R + +--R (- 4x + 8)cosh(x) +--R * +--R +-------+ +--R \|sinh(x) +--R / +--R 4 3 2 2 +--R 3sinh(x) + 12cosh(x)sinh(x) + (18cosh(x) - 6)sinh(x) +--R + +--R 3 4 2 +--R (12cosh(x) - 12cosh(x))sinh(x) + 3cosh(x) - 6cosh(x) + 3 +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 510 +m0127:= a0127-r0127 +--R +--R +--R (68) +--R 5 4 +--R (- 4x - 4)sinh(x) + (- 10x - 8)cosh(x)sinh(x) +--R + +--R 2 3 +--R (- 4x cosh(x) - 4x)sinh(x) +--R + +--R 3 2 +--R ((8x + 8)cosh(x) + (- 8x - 8)cosh(x))sinh(x) +--R + +--R 4 2 5 +--R ((8x + 4)cosh(x) + (- 8x - 8)cosh(x) + 4)sinh(x) + 2x cosh(x) +--R + +--R 3 +--R - 4x cosh(x) + 2x cosh(x) +--R / +--R 5 4 2 3 +--R 3sinh(x) + 12cosh(x)sinh(x) + (18cosh(x) - 6)sinh(x) +--R + +--R 3 2 4 2 +--R (12cosh(x) - 12cosh(x))sinh(x) + (3cosh(x) - 6cosh(x) + 3)sinh(x) +--R * +--R +-------+ +--R \|sinh(x) +--R Type: Expression Integer +--E 139 + +--S 140 of 510 +d0127:= D(m0127,x) +--R +--R +--R (69) +--R 8 7 +--R (6x + 4)sinh(x) + (30x + 16)cosh(x)sinh(x) +--R + +--R 2 6 +--R ((57x + 20)cosh(x) + 18x)sinh(x) +--R + +--R 3 5 +--R (42x cosh(x) + (48x + 8)cosh(x))sinh(x) +--R + +--R 4 2 4 +--R ((- 15x - 20)cosh(x) + (45x + 24)cosh(x) + 10x - 4)sinh(x) +--R + +--R 5 3 3 +--R ((- 54x - 16)cosh(x) + (36x + 24)cosh(x) + (18x - 8)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R ((- 45x - 4)cosh(x) + (48x + 8)cosh(x) + (- x - 4)cosh(x) - 2x) +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 3 8 +--R (- 18x cosh(x) + 36x cosh(x) - 18x cosh(x) )sinh(x) - 3x cosh(x) +--R + +--R 6 4 2 +--R 9x cosh(x) - 9x cosh(x) + 3x cosh(x) +--R / +--R 8 7 2 6 +--R 3sinh(x) + 18cosh(x)sinh(x) + (45cosh(x) - 9)sinh(x) +--R + +--R 3 5 +--R (60cosh(x) - 36cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (45cosh(x) - 54cosh(x) + 9)sinh(x) +--R + +--R 5 3 3 +--R (18cosh(x) - 36cosh(x) + 18cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (3cosh(x) - 9cosh(x) + 9cosh(x) - 3)sinh(x) +--R * +--R +-------+ +--R \|sinh(x) +--R Type: Expression Integer +--E 140 + +--S 141 of 510 +t0128:= x/sinh(x)^(7/2)+3/5*x*sinh(x)^(1/2) +--R +--R +--R 4 +--R 3x sinh(x) + 5x +--R (70) ------------------- +--R 3 +-------+ +--R 5sinh(x) \|sinh(x) +--R Type: Expression Integer +--E 141 + +--S 142 of 510 +r0128:= 2/15*(16*sinh(x)-18*sinh(x)*cosh(x)^2-_ + 12*x*cosh(x)+9*x*cosh(x)^3)/sinh(x)^(5/2) +--R +--R +--R 2 3 +--R (- 36cosh(x) + 32)sinh(x) + 18x cosh(x) - 24x cosh(x) +--R (71) ------------------------------------------------------- +--R 2 +-------+ +--R 15sinh(x) \|sinh(x) +--R Type: Expression Integer +--E 142 + +--S 143 of 510 +a0128:= integrate(t0128,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 143 + +--S 144 of 510 +--m0128:= a0128-r0128 +--E 144 + +--S 145 of 510 +--d0128:= D(m0128,x) +--E 145 + +--S 146 of 510 +t0129:= x^2/sinh(x)^(3/2)-x^2*sinh(x)^(1/2) +--R +--R +--R 2 2 2 +--R - x sinh(x) + x +--R (72) ----------------- +--R +-------+ +--R sinh(x)\|sinh(x) +--R Type: Expression Integer +--E 146 + +--S 147 of 510 +r0129:= -2*x^2*cosh(x)/sinh(x)^(1/2)+8*x*sinh(x)^(1/2)+_ + 16*%i*EllipticE(-1/4*%pi+1/2*%i*x,2)*sinh(x)^(1/2)/(%i*sinh(x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex 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 147 + +--S 148 of 510 +a0129:= integrate(t0129,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 148 + +--S 149 of 510 +--m0129:= a0129-r0129 +--E 149 + +--S 150 of 510 +--d0129:= D(m0129,x) +--E 150 + +--S 151 of 510 +t0130:= sinh(a+b*log(c*x^n)) +--R +--R +--R n +--R (73) sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 151 + +--S 152 of 510 +r0130:= x*(b*n*cosh(a+b*log(c*x^n))-sinh(a+b*log(c*x^n)))/(-1+b^2*n^2) +--R +--R +--R n n +--R - x sinh(b log(c x ) + a) + b n x cosh(b log(c x ) + a) +--R (74) ------------------------------------------------------- +--R 2 2 +--R b n - 1 +--R Type: Expression Integer +--E 152 + +--S 153 of 510 +a0130:= integrate(t0130,x) +--R +--R +--R (75) +--R - x sinh(b n log(x) + b log(c) + a) + b n x cosh(b n log(x) + b log(c) + a) +--R --------------------------------------------------------------------------- +--R 2 2 +--R b n - 1 +--R Type: Union(Expression Integer,...) +--E 153 + +--S 154 of 510 +m0130:= a0130-r0130 +--R +--R +--R (76) +--R n n +--R x sinh(b log(c x ) + a) - b n x cosh(b log(c x ) + a) +--R + +--R - x sinh(b n log(x) + b log(c) + a) + b n x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R b n - 1 +--R Type: Expression Integer +--E 154 + +--S 155 of 510 +d0130:= D(m0130,x) +--R +--R +--R (77) +--R n 2 2 n - 1 n +--R (x - b n x x )sinh(b log(c x ) + a) +--R + +--R n n - 1 n +--R (- b n x + b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n +--R (b n - 1)x sinh(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (b n - 1)x +--R Type: Expression Integer +--E 155 + +--S 156 of 510 +t0131:= x*sinh(a+b*log(c*x^n)) +--R +--R +--R n +--R (78) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 156 + +--S 157 of 510 +r0131:= x^2*(b*n*cosh(a+b*log(c*x^n))-2*sinh(a+b*log(c*x^n)))/(-4+b^2*n^2) +--R +--R +--R 2 n 2 n +--R - 2x sinh(b log(c x ) + a) + b n x cosh(b log(c x ) + a) +--R (79) -------------------------------------------------------- +--R 2 2 +--R b n - 4 +--R Type: Expression Integer +--E 157 + +--S 158 of 510 +a0131:= integrate(t0131,x) +--R +--R +--R (80) +--R 2 2 +--R - 2x sinh(b n log(x) + b log(c) + a) + b n x cosh(b n log(x) + b log(c) + a) +--R ---------------------------------------------------------------------------- +--R 2 2 +--R b n - 4 +--R Type: Union(Expression Integer,...) +--E 158 + +--S 159 of 510 +m0131:= a0131-r0131 +--R +--R +--R (81) +--R 2 n 2 n +--R 2x sinh(b log(c x ) + a) - b n x cosh(b log(c x ) + a) +--R + +--R 2 +--R - 2x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R b n x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R b n - 4 +--R Type: Expression Integer +--E 159 + +--S 160 of 510 +d0131:= D(m0131,x) +--R +--R +--R (82) +--R n 2 2 2 n - 1 n +--R (4x x - b n x x )sinh(b log(c x ) + a) +--R + +--R n 2 n - 1 n +--R (- 2b n x x + 2b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n +--R (b n - 4)x x sinh(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (b n - 4)x +--R Type: Expression Integer +--E 160 + +--S 161 of 510 +t0132:= x^2*sinh(a+b*log(c*x^n)) +--R +--R +--R 2 n +--R (83) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 161 + +--S 162 of 510 +r0132:= x^3*(b*n*cosh(a+b*log(c*x^n))-3*sinh(a+b*log(c*x^n)))/(-9+b^2*n^2) +--R +--R +--R 3 n 3 n +--R - 3x sinh(b log(c x ) + a) + b n x cosh(b log(c x ) + a) +--R (84) -------------------------------------------------------- +--R 2 2 +--R b n - 9 +--R Type: Expression Integer +--E 162 + +--S 163 of 510 +a0132:= integrate(t0132,x) +--R +--R +--R (85) +--R 3 3 +--R - 3x sinh(b n log(x) + b log(c) + a) + b n x cosh(b n log(x) + b log(c) + a) +--R ---------------------------------------------------------------------------- +--R 2 2 +--R b n - 9 +--R Type: Union(Expression Integer,...) +--E 163 + +--S 164 of 510 +m0132:= a0132-r0132 +--R +--R +--R (86) +--R 3 n 3 n +--R 3x sinh(b log(c x ) + a) - b n x cosh(b log(c x ) + a) +--R + +--R 3 +--R - 3x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 +--R b n x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R b n - 9 +--R Type: Expression Integer +--E 164 + +--S 165 of 510 +d0132:= D(m0132,x) +--R +--R +--R (87) +--R 2 n 2 2 3 n - 1 n +--R (9x x - b n x x )sinh(b log(c x ) + a) +--R + +--R 2 n 3 n - 1 n +--R (- 3b n x x + 3b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n +--R (b n - 9)x x sinh(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (b n - 9)x +--R Type: Expression Integer +--E 165 + +--S 166 of 510 +t0133:= sinh(a+b*log(c*x^n))/x^2 +--R +--R +--R n +--R sinh(b log(c x ) + a) +--R (88) --------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 166 + +--S 167 of 510 +r0133:= (sinh(a+b*log(c*x^n))+b*n*cosh(a+b*log(c*x^n)))/(-1+b^2*n^2)/x +--R +--R +--R n n +--R sinh(b log(c x ) + a) + b n cosh(b log(c x ) + a) +--R (89) ------------------------------------------------- +--R 2 2 +--R (b n - 1)x +--R Type: Expression Integer +--E 167 + +--S 168 of 510 +a0133:= integrate(t0133,x) +--R +--R +--R sinh(b n log(x) + b log(c) + a) + b n cosh(b n log(x) + b log(c) + a) +--R (90) --------------------------------------------------------------------- +--R 2 2 +--R (b n - 1)x +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 510 +m0133:= a0133-r0133 +--R +--R +--R (91) +--R n n +--R - sinh(b log(c x ) + a) - b n cosh(b log(c x ) + a) +--R + +--R sinh(b n log(x) + b log(c) + a) + b n cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R (b n - 1)x +--R Type: Expression Integer +--E 169 + +--S 170 of 510 +d0133:= D(m0133,x) +--R +--R +--R (92) +--R n 2 2 n - 1 n +--R (x - b n x x )sinh(b log(c x ) + a) +--R + +--R n n - 1 n +--R (b n x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n +--R (b n - 1)x sinh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 n +--R (b n - 1)x x +--R Type: Expression Integer +--E 170 + +--S 171 of 510 +t0134:= x^m*sinh(a+b*log(c*x^n)) +--R +--R +--R m n +--R (93) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 171 + +--S 172 of 510 +r0134:= -b*n*x^(1+m)*cosh(a+b*log(c*x^n))/((1+m)^2-b^2*n^2)+_ + (1+m)*x^(1+m)*sinh(a+b*log(c*x^n))/((1+m)^2-b^2*n^2) +--R +--R +--R (94) +--R m + 1 n m + 1 n +--R (- m - 1)x sinh(b log(c x ) + a) + b n x cosh(b log(c x ) + a) +--R ---------------------------------------------------------------------- +--R 2 2 2 +--R b n - m - 2m - 1 +--R Type: Expression Integer +--E 172 + +--S 173 of 510 +a0134:= integrate(t0134,x) +--R +--R +--R (95) +--R ((- m - 1)x sinh(m log(x)) + (- m - 1)x cosh(m log(x))) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R b n x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R b n x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 +--R b n - m - 2m - 1 +--R Type: Union(Expression Integer,...) +--E 173 + +--S 174 of 510 +m0134:= a0134-r0134 +--R +--R +--R (96) +--R m + 1 n m + 1 n +--R (m + 1)x sinh(b log(c x ) + a) - b n x cosh(b log(c x ) + a) +--R + +--R ((- m - 1)x sinh(m log(x)) + (- m - 1)x cosh(m log(x))) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R b n x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R b n x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 +--R b n - m - 2m - 1 +--R Type: Expression Integer +--E 174 + +--S 175 of 510 +d0134:= D(m0134,x) +--R +--R +--R (97) +--R 2 m n 2 2 m + 1 n - 1 n +--R ((m + 2m + 1)x x - b n x x )sinh(b log(c x ) + a) +--R + +--R m n m + 1 n - 1 n +--R ((- b m - b)n x x + (b m + b)n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n +--R (b n - m - 2m - 1)x sinh(m log(x)) +--R + +--R 2 2 2 n +--R (b n - m - 2m - 1)x cosh(m log(x)) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 n +--R (b n - m - 2m - 1)x +--R Type: Expression Integer +--E 175 + +--S 176 of 510 +t0135:= sinh(a+b*log(c*x^n))^2 +--R +--R +--R n 2 +--R (98) sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 176 + +--S 177 of 510 +r0135:= -x*(2*b^2*n^2-2*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))+_ + cosh(a+b*log(c*x^n))^2-1)/(-1+4*b^2*n^2) +--R +--R +--R (99) +--R n n +--R 2b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 2 +--R - x cosh(b log(c x ) + a) + (- 2b n + 1)x +--R / +--R 2 2 +--R 4b n - 1 +--R Type: Expression Integer +--E 177 + +--S 178 of 510 +a0135:= integrate(t0135,x) +--R +--R +--R (100) +--R 2 +--R - x sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R - x cosh(b n log(x) + b log(c) + a) + (- 4b n + 1)x +--R / +--R 2 2 +--R 8b n - 2 +--R Type: Union(Expression Integer,...) +--E 178 + +--S 179 of 510 +m0135:= a0135-r0135 +--R +--R +--R (101) +--R n n +--R - 4b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 +--R 2x cosh(b log(c x ) + a) - x sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R - x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 +--R 8b n - 2 +--R Type: Expression Integer +--E 179 + +--S 180 of 510 +d0135:= D(m0135,x) +--R +--R +--R (102) +--R 2 2 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R n n - 1 n n +--R (- 4b n x + 4b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n 2 +--R (2x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R (4b n - 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 n +--R (4b n - 1)x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 n +--R (8b n - 2)x +--R Type: Expression Integer +--E 180 + +--S 181 of 510 +t0136:= x*sinh(a+b*log(c*x^n))^2 +--R +--R +--R n 2 +--R (103) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 181 + +--S 182 of 510 +r0136:= -1/4*x^2*(b^2*n^2-2*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))+_ + 2*cosh(a+b*log(c*x^n))^2-2)/(-1+b^2*n^2) +--R +--R +--R (104) +--R 2 n n +--R 2b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 2 2 +--R - 2x cosh(b log(c x ) + a) + (- b n + 2)x +--R / +--R 2 2 +--R 4b n - 4 +--R Type: Expression Integer +--E 182 + +--S 183 of 510 +a0136:= integrate(t0136,x) +--R +--R +--R (105) +--R 2 2 +--R - x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R 2b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 +--R - x cosh(b n log(x) + b log(c) + a) + (- b n + 1)x +--R / +--R 2 2 +--R 4b n - 4 +--R Type: Union(Expression Integer,...) +--E 183 + +--S 184 of 510 +m0136:= a0136-r0136 +--R +--R +--R (106) +--R 2 n n +--R - 2b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 2 +--R 2x cosh(b log(c x ) + a) - x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R 2b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R - x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 +--R 4b n - 4 +--R Type: Expression Integer +--E 184 + +--S 185 of 510 +d0136:= D(m0136,x) +--R +--R +--R (107) +--R 2 2 2 n - 1 n 2 +--R - b n x x sinh(b log(c x ) + a) +--R + +--R n 2 n - 1 n n +--R (- 2b n x x + 2b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 2 n - 1 n 2 +--R (2x x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R (b n - 1)x x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 n +--R (b n - 1)x x cosh(b n log(x) + b log(c) + a) - x x +--R / +--R 2 2 n +--R (2b n - 2)x +--R Type: Expression Integer +--E 185 + +--S 186 of 510 +t0137:= x^2*sinh(a+b*log(c*x^n))^2 +--R +--R +--R 2 n 2 +--R (108) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 186 + +--S 187 of 510 +r0137:= -1/3*x^3*(2*b^2*n^2-6*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))+_ + 9*cosh(a+b*log(c*x^n))^2-9)/(-9+4*b^2*n^2) +--R +--R +--R (109) +--R 3 n n +--R 6b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 n 2 2 2 3 +--R - 9x cosh(b log(c x ) + a) + (- 2b n + 9)x +--R / +--R 2 2 +--R 12b n - 27 +--R Type: Expression Integer +--E 187 + +--S 188 of 510 +a0137:= integrate(t0137,x) +--R +--R +--R (110) +--R 3 2 +--R - 9x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 +--R 12b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 3 2 2 2 3 +--R - 9x cosh(b n log(x) + b log(c) + a) + (- 4b n + 9)x +--R / +--R 2 2 +--R 24b n - 54 +--R Type: Union(Expression Integer,...) +--E 188 + +--S 189 of 510 +m0137:= a0137-r0137 +--R +--R +--R (111) +--R 3 n n +--R - 4b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 n 2 3 2 +--R 6x cosh(b log(c x ) + a) - 3x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 +--R 4b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 3 2 3 +--R - 3x cosh(b n log(x) + b log(c) + a) - 3x +--R / +--R 2 2 +--R 8b n - 18 +--R Type: Expression Integer +--E 189 + +--S 190 of 510 +d0137:= D(m0137,x) +--R +--R +--R (112) +--R 2 2 3 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R 2 n 3 n - 1 n n +--R (- 12b n x x + 12b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 3 n - 1 n 2 +--R (18x x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n 2 +--R (4b n - 9)x x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 2 n +--R (4b n - 9)x x cosh(b n log(x) + b log(c) + a) - 9x x +--R / +--R 2 2 n +--R (8b n - 18)x +--R Type: Expression Integer +--E 190 + +--S 191 of 510 +t0138:= sinh(a+b*log(c*x^n))^2/x^2 +--R +--R +--R n 2 +--R sinh(b log(c x ) + a) +--R (113) ---------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 191 + +--S 192 of 510 +r0138:= 1/(-1+4*b^2*n^2)/x*(2*b^2*n^2+2*b*n*cosh(a+b*log(c*x^n))*_ + sinh(a+b*log(c*x^n))+cosh(a+b*log(c*x^n))^2-1) +--R +--R +--R (114) +--R n n n 2 +--R 2b n cosh(b log(c x ) + a)sinh(b log(c x ) + a) + cosh(b log(c x ) + a) +--R + +--R 2 2 +--R 2b n - 1 +--R / +--R 2 2 +--R (4b n - 1)x +--R Type: Expression Integer +--E 192 + +--S 193 of 510 +a0138:= integrate(t0138,x) +--R +--R +--R (115) +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R cosh(b n log(x) + b log(c) + a) + 4b n - 1 +--R / +--R 2 2 +--R (8b n - 2)x +--R Type: Union(Expression Integer,...) +--E 193 + +--S 194 of 510 +m0138:= a0138-r0138 +--R +--R +--R (116) +--R n n +--R - 4b n cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 +--R - 2cosh(b log(c x ) + a) + sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R cosh(b n log(x) + b log(c) + a) + 1 +--R / +--R 2 2 +--R (8b n - 2)x +--R Type: Expression Integer +--E 194 + +--S 195 of 510 +d0138:= D(m0138,x) +--R +--R +--R (117) +--R 2 2 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R n n - 1 n n +--R (4b n x - 4b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n 2 +--R (2x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R (4b n - 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 n +--R (4b n - 1)x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 2 n +--R (8b n - 2)x x +--R Type: Expression Integer +--E 195 + +--S 196 of 510 +t0139:= x^m*sinh(a+b*log(c*x^n))^2 +--R +--R +--R m n 2 +--R (118) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 196 + +--S 197 of 510 +r0139:= 2*b^2*n^2*x^(1+m)/(1+m)/((1+m)^2-4*b^2*n^2)-2*b*n*x^(1+m)*_ + cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))/((1+m)^2-4*b^2*n^2)+_ + (1+m)*x^(1+m)*sinh(a+b*log(c*x^n))^2/((1+m)^2-4*b^2*n^2) +--R +--R +--R (119) +--R 2 m + 1 n 2 +--R (- m - 2m - 1)x sinh(b log(c x ) + a) +--R + +--R m + 1 n n 2 2 m + 1 +--R (2b m + 2b)n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) - 2b n x +--R / +--R 2 2 2 3 2 +--R (4b m + 4b )n - m - 3m - 3m - 1 +--R Type: Expression Integer +--E 197 + +--S 198 of 510 +a0139:= integrate(t0139,x) +--R +--R +--R (120) +--R 2 2 +--R ((- m - 2m - 1)x sinh(m log(x)) + (- m - 2m - 1)x cosh(m log(x))) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R (4b m + 4b)n x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R (4b m + 4b)n x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 4b n + m + 2m + 1)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 4b n + m + 2m + 1)x cosh(m log(x)) +--R / +--R 2 2 2 3 2 +--R (8b m + 8b )n - 2m - 6m - 6m - 2 +--R Type: Union(Expression Integer,...) +--E 198 + +--S 199 of 510 +m0139:= a0139-r0139 +--R +--R +--R (121) +--R 2 m + 1 n 2 +--R (2m + 4m + 2)x sinh(b log(c x ) + a) +--R + +--R m + 1 n n +--R (- 4b m - 4b)n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 +--R ((- m - 2m - 1)x sinh(m log(x)) + (- m - 2m - 1)x cosh(m log(x))) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R (4b m + 4b)n x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R (4b m + 4b)n x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 4b n + m + 2m + 1)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 m + 1 +--R (- 4b n + m + 2m + 1)x cosh(m log(x)) + 4b n x +--R / +--R 2 2 2 3 2 +--R (8b m + 8b )n - 2m - 6m - 6m - 2 +--R Type: Expression Integer +--E 199 + +--S 200 of 510 +d0139:= D(m0139,x) +--R +--R +--R (122) +--R 2 m n 2 2 m + 1 n - 1 n 2 +--R ((2m + 4m + 2)x x - 4b n x x )sinh(b log(c x ) + a) +--R + +--R m n m + 1 n - 1 n +--R ((- 4b m - 4b)n x x + (4b m + 4b)n x x )cosh(b log(c x ) + a) +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 m + 1 n - 1 n 2 +--R - 4b n x x cosh(b log(c x ) + a) +--R + +--R 2 2 2 n +--R (4b n - m - 2m - 1)x sinh(m log(x)) +--R + +--R 2 2 2 n +--R (4b n - m - 2m - 1)x cosh(m log(x)) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 +--R (4b n - m - 2m - 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n +--R (- 4b n + m + 2m + 1)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 2 n 2 +--R (4b n - m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 2 m n +--R (- 4b n + m + 2m + 1)x cosh(m log(x)) + 4b n x x +--R / +--R 2 2 2 n +--R (8b n - 2m - 4m - 2)x +--R Type: Expression Integer +--E 200 + +--S 201 of 510 +t0140:= sinh(a+b*log(c*x^n))^3 +--R +--R +--R n 3 +--R (123) sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 201 + +--S 202 of 510 +r0140:= -6*b^3*n^3*x*cosh(a+b*log(c*x^n))/(1-9*b^2*n^2)/(1-b^2*n^2)+_ + 6*b^2*n^2*x*sinh(a+b*log(c*x^n))/(1-9*b^2*n^2)/(1-b^2*n^2)-_ + 3*b*n*x*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^2/(1-9*b^2*n^2)+_ + x*sinh(a+b*log(c*x^n))^3/(1-9*b^2*n^2) +--R +--R +--R (124) +--R 2 2 n 3 +--R (- b n + 1)x sinh(b log(c x ) + a) +--R + +--R 3 3 n n 2 +--R (3b n - 3b n)x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 3 n +--R 6b n x sinh(b log(c x ) + a) - 6b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 9b n - 10b n + 1 +--R Type: Expression Integer +--E 202 + +--S 203 of 510 +a0140:= integrate(t0140,x) +--R +--R +--R (125) +--R 2 2 3 +--R (- b n + 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (9b n - 9b n)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 +--R ((- 3b n + 3)x cosh(b n log(x) + b log(c) + a) + (27b n - 3)x) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (3b n - 3b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (- 27b n + 3b n)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 40b n + 4 +--R Type: Union(Expression Integer,...) +--E 203 + +--S 204 of 510 +m0140:= a0140-r0140 +--R +--R +--R (126) +--R 2 2 n 3 +--R (4b n - 4)x sinh(b log(c x ) + a) +--R + +--R 3 3 n n 2 +--R (- 12b n + 12b n)x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 3 n +--R - 24b n x sinh(b log(c x ) + a) + 24b n x cosh(b log(c x ) + a) +--R + +--R 2 2 3 +--R (- b n + 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (9b n - 9b n)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 +--R ((- 3b n + 3)x cosh(b n log(x) + b log(c) + a) + (27b n - 3)x) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (3b n - 3b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (- 27b n + 3b n)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 40b n + 4 +--R Type: Expression Integer +--E 204 + +--S 205 of 510 +d0140:= D(m0140,x) +--R +--R +--R (127) +--R 2 2 n 4 4 2 2 n - 1 n 3 +--R ((4b n - 4)x + (- 12b n + 12b n )x x )sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 n +--R ((- 12b n + 12b n)x + (12b n - 12b n)x x )cosh(b log(c x ) + a) +--R * +--R n 2 +--R sinh(b log(c x ) + a) +--R + +--R 4 4 2 2 n - 1 n 2 2 2 n +--R (- 24b n + 24b n )x x cosh(b log(c x ) + a) - 24b n x +--R + +--R 4 4 n - 1 +--R 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 n +--R (24b n x - 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 n 3 +--R (9b n - 10b n + 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 2 +--R (27b n - 30b n + 3)x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (- 27b n + 30b n - 3)x +--R * +--R sinh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (36b n - 40b n + 4)x +--R Type: Expression Integer +--E 205 + +--S 206 of 510 +t0141:= x*sinh(a+b*log(c*x^n))^3 +--R +--R +--R n 3 +--R (128) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 206 + +--S 207 of 510 +r0141:= -6*b^3*n^3*x^2*cosh(a+b*log(c*x^n))/(4-9*b^2*n^2)/(4-b^2*n^2)+_ + 12*b^2*n^2*x^2*sinh(a+b*log(c*x^n))/(4-9*b^2*n^2)/(4-b^2*n^2)-_ + 3*b*n*x^2*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^2/(4-9*b^2*n^2)+_ + 2*x^2*sinh(a+b*log(c*x^n))^3/(4-9*b^2*n^2) +--R +--R +--R (129) +--R 2 2 2 n 3 +--R (- 2b n + 8)x sinh(b log(c x ) + a) +--R + +--R 3 3 2 n n 2 +--R (3b n - 12b n)x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 2 n 3 3 2 n +--R 12b n x sinh(b log(c x ) + a) - 6b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 9b n - 40b n + 16 +--R Type: Expression Integer +--E 207 + +--S 208 of 510 +a0141:= integrate(t0141,x) +--R +--R +--R (130) +--R 2 2 2 3 +--R (- 2b n + 8)x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (9b n - 36b n)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 2 2 +--R ((- 6b n + 24)x cosh(b n log(x) + b log(c) + a) + (54b n - 24)x ) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 +--R (3b n - 12b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (- 27b n + 12b n)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 160b n + 64 +--R Type: Union(Expression Integer,...) +--E 208 + +--S 209 of 510 +m0141:= a0141-r0141 +--R +--R +--R (131) +--R 2 2 2 n 3 +--R (8b n - 32)x sinh(b log(c x ) + a) +--R + +--R 3 3 2 n n 2 +--R (- 12b n + 48b n)x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 2 n 3 3 2 n +--R - 48b n x sinh(b log(c x ) + a) + 24b n x cosh(b log(c x ) + a) +--R + +--R 2 2 2 3 +--R (- 2b n + 8)x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (9b n - 36b n)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 2 2 +--R ((- 6b n + 24)x cosh(b n log(x) + b log(c) + a) + (54b n - 24)x ) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 +--R (3b n - 12b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (- 27b n + 12b n)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 160b n + 64 +--R Type: Expression Integer +--E 209 + +--S 210 of 510 +d0141:= D(m0141,x) +--R +--R +--R (132) +--R 2 2 n 4 4 2 2 2 n - 1 n 3 +--R ((16b n - 64)x x + (- 12b n + 48b n )x x )sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 2 n - 1 +--R ((- 24b n + 96b n)x x + (24b n - 96b n)x x ) +--R * +--R n n 2 +--R cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 4 4 2 2 2 n - 1 n 2 2 2 n +--R (- 24b n + 96b n )x x cosh(b log(c x ) + a) - 96b n x x +--R + +--R 4 4 2 n - 1 +--R 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 2 n - 1 n +--R (48b n x x - 48b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 n 3 +--R (9b n - 40b n + 16)x x sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 2 +--R (27b n - 120b n + 48)x x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (- 27b n + 120b n - 48)x x +--R * +--R sinh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (36b n - 160b n + 64)x +--R Type: Expression Integer +--E 210 + +--S 211 of 510 +t0142:= x^2*sinh(a+b*log(c*x^n))^3 +--R +--R +--R 2 n 3 +--R (133) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 211 + +--S 212 of 510 +r0142:= -2/3*b^3*n^3*x^3*cosh(a+b*log(c*x^n))/(1-b^2*n^2)/(9-b^2*n^2)+_ + 2*b^2*n^2*x^3*sinh(a+b*log(c*x^n))/(1-b^2*n^2)/(9-b^2*n^2)-_ + b*n*x^3*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^2/(3-3*b^2*n^2)+_ + x^3*sinh(a+b*log(c*x^n))^3/(3-3*b^2*n^2) +--R +--R +--R (134) +--R 2 2 3 n 3 +--R (- b n + 9)x sinh(b log(c x ) + a) +--R + +--R 3 3 3 n n 2 +--R (b n - 9b n)x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 3 n 3 3 3 n +--R 6b n x sinh(b log(c x ) + a) - 2b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 3b n - 30b n + 27 +--R Type: Expression Integer +--E 212 + +--S 213 of 510 +a0142:= integrate(t0142,x) +--R +--R +--R (135) +--R 2 2 3 3 +--R (- b n + 9)x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (3b n - 27b n)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 2 2 2 3 +--R ((- 3b n + 27)x cosh(b n log(x) + b log(c) + a) + (27b n - 27)x ) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 3 +--R (b n - 9b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (- 9b n + 9b n)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 12b n - 120b n + 108 +--R Type: Union(Expression Integer,...) +--E 213 + +--S 214 of 510 +m0142:= a0142-r0142 +--R +--R +--R (136) +--R 2 2 3 n 3 +--R (4b n - 36)x sinh(b log(c x ) + a) +--R + +--R 3 3 3 n n 2 +--R (- 4b n + 36b n)x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 3 n 3 3 3 n +--R - 24b n x sinh(b log(c x ) + a) + 8b n x cosh(b log(c x ) + a) +--R + +--R 2 2 3 3 +--R (- b n + 9)x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (3b n - 27b n)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 2 2 2 3 +--R ((- 3b n + 27)x cosh(b n log(x) + b log(c) + a) + (27b n - 27)x ) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 3 +--R (b n - 9b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (- 9b n + 9b n)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 12b n - 120b n + 108 +--R Type: Expression Integer +--E 214 + +--S 215 of 510 +d0142:= D(m0142,x) +--R +--R +--R (137) +--R 2 2 2 n 4 4 2 2 3 n - 1 n 3 +--R ((12b n - 108)x x + (- 4b n + 36b n )x x )sinh(b log(c x ) + a) +--R + +--R 3 3 2 n 3 3 3 n - 1 +--R ((- 12b n + 108b n)x x + (12b n - 108b n)x x ) +--R * +--R n n 2 +--R cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 4 4 2 2 3 n - 1 n 2 2 2 2 n +--R (- 8b n + 72b n )x x cosh(b log(c x ) + a) - 72b n x x +--R + +--R 4 4 3 n - 1 +--R 8b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 3 3 2 n 3 3 3 n - 1 n +--R (24b n x x - 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 2 n 3 +--R (3b n - 30b n + 27)x x sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 n 2 +--R (9b n - 90b n + 81)x x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 n +--R (- 9b n + 90b n - 81)x x +--R * +--R sinh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (12b n - 120b n + 108)x +--R Type: Expression Integer +--E 215 + +--S 216 of 510 +t0143:= sinh(a+b*log(c*x^n))^3/x^2 +--R +--R +--R n 3 +--R sinh(b log(c x ) + a) +--R (138) ---------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 216 + +--S 217 of 510 +r0143:= -6*b^3*n^3*cosh(a+b*log(c*x^n))/(1-9*b^2*n^2)/(1-b^2*n^2)/x-_ + 6*b^2*n^2*sinh(a+b*log(c*x^n))/(1-9*b^2*n^2)/(1-b^2*n^2)/x-_ + 3*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^2/(1-9*b^2*n^2)/x-_ + sinh(a+b*log(c*x^n))^3/(1-9*b^2*n^2)/x +--R +--R +--R (139) +--R 2 2 n 3 +--R (b n - 1)sinh(b log(c x ) + a) +--R + +--R 3 3 n n 2 +--R (3b n - 3b n)cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 3 n +--R - 6b n sinh(b log(c x ) + a) - 6b n cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R (9b n - 10b n + 1)x +--R Type: Expression Integer +--E 217 + +--S 218 of 510 +a0143:= integrate(t0143,x) +--R +--R +--R (140) +--R 2 2 3 +--R (b n - 1)sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (9b n - 9b n)cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 +--R ((3b n - 3)cosh(b n log(x) + b log(c) + a) - 27b n + 3) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (3b n - 3b n)cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (- 27b n + 3b n)cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R (36b n - 40b n + 4)x +--R Type: Union(Expression Integer,...) +--E 218 + +--S 219 of 510 +m0143:= a0143-r0143 +--R +--R +--R (141) +--R 2 2 n 3 +--R (- 4b n + 4)sinh(b log(c x ) + a) +--R + +--R 3 3 n n 2 +--R (- 12b n + 12b n)cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 3 n +--R 24b n sinh(b log(c x ) + a) + 24b n cosh(b log(c x ) + a) +--R + +--R 2 2 3 +--R (b n - 1)sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (9b n - 9b n)cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 +--R ((3b n - 3)cosh(b n log(x) + b log(c) + a) - 27b n + 3) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 +--R (3b n - 3b n)cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R (- 27b n + 3b n)cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R (36b n - 40b n + 4)x +--R Type: Expression Integer +--E 219 + +--S 220 of 510 +d0143:= D(m0143,x) +--R +--R +--R (142) +--R 2 2 n 4 4 2 2 n - 1 n 3 +--R ((4b n - 4)x + (- 12b n + 12b n )x x )sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 n +--R ((12b n - 12b n)x + (- 12b n + 12b n)x x )cosh(b log(c x ) + a) +--R * +--R n 2 +--R sinh(b log(c x ) + a) +--R + +--R 4 4 2 2 n - 1 n 2 2 2 n +--R (- 24b n + 24b n )x x cosh(b log(c x ) + a) - 24b n x +--R + +--R 4 4 n - 1 +--R 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 n +--R (- 24b n x + 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 n 3 +--R (9b n - 10b n + 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 2 +--R (27b n - 30b n + 3)x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (- 27b n + 30b n - 3)x +--R * +--R sinh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 n +--R (36b n - 40b n + 4)x x +--R Type: Expression Integer +--E 220 + +--S 221 of 510 +t0144:= x^m*sinh(a+b*log(c*x^n))^3 +--R +--R +--R m n 3 +--R (143) x sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 221 + +--S 222 of 510 +r0144:= -6*b^3*n^3*x^(1+m)*cosh(a+b*log(c*x^n))/((1+m)^2-9*b^2*n^2)/((1+m)^2-_ + b^2*n^2)+6*b^2*(1+m)*n^2*x^(1+m)*sinh(a+b*log(c*x^n))/((1+m)^2-_ + 9*b^2*n^2)/((1+m)^2-b^2*n^2)-3*b*n*x^(1+m)*cosh(a+b*log(c*x^n))*_ + sinh(a+b*log(c*x^n))^2/((1+m)^2-9*b^2*n^2)+(1+m)*x^(1+m)*_ + sinh(a+b*log(c*x^n))^3/((1+m)^2-9*b^2*n^2) +--R +--R +--R (144) +--R 2 2 2 3 2 m + 1 n 3 +--R ((- b m - b )n + m + 3m + 3m + 1)x sinh(b log(c x ) + a) +--R + +--R 3 3 2 m + 1 n +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(b log(c x ) + a) +--R * +--R n 2 +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 m + 1 n +--R (6b m + 6b )n x sinh(b log(c x ) + a) +--R + +--R 3 3 m + 1 n +--R - 6b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 +--R 9b n + (- 10b m - 20b m - 10b )n + m + 4m + 6m + 4m + 1 +--R Type: Expression Integer +--E 222 + +--S 223 of 510 +a0144:= integrate(t0144,x) +--R +--R +--R (145) +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x cosh(m log(x)) +--R * +--R 3 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((27b m + 27b )n - 3m - 9m - 9m - 3)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x cosh(m log(x)) +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((27b m + 27b )n - 3m - 9m - 9m - 3)x cosh(m log(x)) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (- 27b n + (3b m + 6b m + 3b)n)x cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 3 3 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(m log(x)) +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (- 27b n + (3b m + 6b m + 3b)n)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 +--R 36b n + (- 40b m - 80b m - 40b )n + 4m + 16m + 24m + 16m + 4 +--R Type: Union(Expression Integer,...) +--E 223 + +--S 224 of 510 +m0144:= a0144-r0144 +--R +--R +--R (146) +--R 2 2 2 3 2 m + 1 n 3 +--R ((4b m + 4b )n - 4m - 12m - 12m - 4)x sinh(b log(c x ) + a) +--R + +--R 3 3 2 m + 1 n +--R (- 12b n + (12b m + 24b m + 12b)n)x cosh(b log(c x ) + a) +--R * +--R n 2 +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 m + 1 n +--R (- 24b m - 24b )n x sinh(b log(c x ) + a) +--R + +--R 3 3 m + 1 n +--R 24b n x cosh(b log(c x ) + a) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x cosh(m log(x)) +--R * +--R 3 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((27b m + 27b )n - 3m - 9m - 9m - 3)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x cosh(m log(x)) +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((27b m + 27b )n - 3m - 9m - 9m - 3)x cosh(m log(x)) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (- 27b n + (3b m + 6b m + 3b)n)x cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 3 3 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(m log(x)) +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (- 27b n + (3b m + 6b m + 3b)n)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 +--R 36b n + (- 40b m - 80b m - 40b )n + 4m + 16m + 24m + 16m + 4 +--R Type: Expression Integer +--E 224 + +--S 225 of 510 +d0144:= D(m0144,x) +--R +--R +--R (147) +--R 2 2 2 2 2 4 3 2 m n +--R ((4b m + 8b m + 4b )n - 4m - 16m - 24m - 16m - 4)x x +--R + +--R 4 4 2 2 2 2 2 m + 1 n - 1 +--R (- 12b n + (12b m + 24b m + 12b )n )x x +--R * +--R n 3 +--R sinh(b log(c x ) + a) +--R + +--R 3 3 3 3 2 m n +--R ((- 12b m - 12b )n + (12b m + 36b m + 36b m + 12b)n)x x +--R + +--R 3 3 3 3 2 m + 1 n - 1 +--R ((12b m + 12b )n + (- 12b m - 36b m - 36b m - 12b)n)x x +--R * +--R n n 2 +--R cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 4 4 2 2 2 2 2 m + 1 n - 1 +--R (- 24b n + (24b m + 48b m + 24b )n )x x +--R * +--R n 2 +--R cosh(b log(c x ) + a) +--R + +--R 2 2 2 2 2 m n 4 4 m + 1 n - 1 +--R (- 24b m - 48b m - 24b )n x x + 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 3 3 3 m n 3 3 3 m + 1 n - 1 +--R ((24b m + 24b )n x x + (- 24b m - 24b )n x x ) +--R * +--R n +--R cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 n +--R (9b n + (- 10b m - 20b m - 10b )n + m + 4m + 6m + 4m + 1)x +--R * +--R sinh(m log(x)) +--R + +--R 4 4 2 2 2 2 2 4 3 2 n +--R (9b n + (- 10b m - 20b m - 10b )n + m + 4m + 6m + 4m + 1)x +--R * +--R cosh(m log(x)) +--R * +--R 3 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R 27b n + (- 30b m - 60b m - 30b )n + 3m + 12m + 18m +--R + +--R 12m + 3 +--R * +--R n 2 +--R x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R - 27b n + (30b m + 60b m + 30b )n - 3m - 12m - 18m +--R + +--R - 12m - 3 +--R * +--R n +--R x +--R * +--R sinh(m log(x)) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R 27b n + (- 30b m - 60b m - 30b )n + 3m + 12m + 18m + 12m +--R + +--R 3 +--R * +--R n 2 +--R x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R - 27b n + (30b m + 60b m + 30b )n - 3m - 12m - 18m - 12m +--R + +--R - 3 +--R * +--R n +--R x cosh(m log(x)) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 n +--R (36b n + (- 40b m - 80b m - 40b )n + 4m + 16m + 24m + 16m + 4)x +--R Type: Expression Integer +--E 225 + +--S 226 of 510 +t0145:= cosh(a+b*x)^(1/2) +--R +--R +--R +-------------+ +--R (148) \|cosh(b x + a) +--R Type: Expression Integer +--E 226 + +--S 227 of 510 +r0145:= -2*%i*EllipticE(1/2*%i*(a+b*x),2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 227 + +--S 228 of 510 +a0145:= integrate(t0145,x) +--R +--R +--R x +--R ++ +--------------+ +--R (149) | \|cosh(%I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 228 + +--S 229 of 510 +--m0145:= a0145-r0145 +--E 229 + +--S 230 of 510 +--d0145:= D(m0145,x) +--E 230 + +--S 231 of 510 +t0146:= cosh(a+b*x)^(3/2) +--R +--R +--R +-------------+ +--R (150) cosh(b x + a)\|cosh(b x + a) +--R Type: Expression Integer +--E 231 + +--S 232 of 510 +r0146:= 2/3*(-%i*EllipticF(1/2*%i*(a+b*x),2)+cosh(a+b*x)^(1/2)*sinh(a+b*x))/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 232 + +--S 233 of 510 +a0146:= integrate(t0146,x) +--R +--R +--R x +--R ++ +--------------+ +--R (151) | cosh(%I b + a)\|cosh(%I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 233 + +--S 234 of 510 +--m0146:= a0146-r0146 +--E 234 + +--S 235 of 510 +--d0146:= D(m0146,x) +--E 235 + +--S 236 of 510 +t0147:= cosh(a+b*x)^(5/2) +--R +--R +--R 2 +-------------+ +--R (152) cosh(b x + a) \|cosh(b x + a) +--R Type: Expression Integer +--E 236 + +--S 237 of 510 +r0147:= 2/5*(-3*%i*EllipticE(1/2*%i*(a+b*x),2)+cosh(a+b*x)^(3/2)*sinh(a+b*x))/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 237 + +--S 238 of 510 +a0147:= integrate(t0147,x) +--R +--R +--R x +--R ++ 2 +--------------+ +--R (153) | cosh(%I b + a) \|cosh(%I b + a) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 238 + +--S 239 of 510 +--m0147:= a0147-r0147 +--E 239 + +--S 240 of 510 +--d0147:= D(m0147,x) +--E 240 + +--S 241 of 510 +t0148:= 1/cosh(a+b*x)^(1/2) +--R +--R +--R 1 +--R (154) ---------------- +--R +-------------+ +--R \|cosh(b x + a) +--R Type: Expression Integer +--E 241 + +--S 242 of 510 +r0148:= -2*%i*EllipticF(1/2*%i*(a+b*x),2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 242 + +--S 243 of 510 +a0148:= integrate(t0148,x) +--R +--R +--R x +--R ++ 1 +--R (155) | ----------------- d%I +--R ++ +--------------+ +--R \|cosh(%I b + a) +--R Type: Union(Expression Integer,...) +--E 243 + +--S 244 of 510 +--m0148:= a0148-r0148 +--E 244 + +--S 245 of 510 +--d0148:= D(m0148,x) +--E 245 + +--S 246 of 510 +t0149:= 1/cosh(a+b*x)^(3/2) +--R +--R +--R 1 +--R (156) ----------------------------- +--R +-------------+ +--R cosh(b x + a)\|cosh(b x + a) +--R Type: Expression Integer +--E 246 + +--S 247 of 510 +r0149:= 2*%i*EllipticE(1/2*%i*(a+b*x),2)/b+2*sinh(a+b*x)/b/cosh(a+b*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 247 + +--S 248 of 510 +a0149:= integrate(t0149,x) +--R +--R +--R x +--R ++ 1 +--R (157) | ------------------------------- d%I +--R ++ +--------------+ +--R cosh(%I b + a)\|cosh(%I b + a) +--R Type: Union(Expression Integer,...) +--E 248 + +--S 249 of 510 +--m0149:= a0149-r0149 +--E 249 + +--S 250 of 510 +--d0149:= D(m0149,x) +--E 250 + +--S 251 of 510 +t0150:= 1/cosh(a+b*x)^(5/2) +--R +--R +--R 1 +--R (158) ------------------------------ +--R 2 +-------------+ +--R cosh(b x + a) \|cosh(b x + a) +--R Type: Expression Integer +--E 251 + +--S 252 of 510 +r0150:= -2/3*%i*EllipticF(1/2*%i*(a+b*x),2)/b+_ + 2/3*sinh(a+b*x)/b/cosh(a+b*x)^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 252 + +--S 253 of 510 +a0150:= integrate(t0150,x) +--R +--R +--R x +--R ++ 1 +--R (159) | -------------------------------- d%I +--R ++ 2 +--------------+ +--R cosh(%I b + a) \|cosh(%I b + a) +--R Type: Union(Expression Integer,...) +--E 253 + +--S 254 of 510 +--m0150:= a0150-r0150 +--E 254 + +--S 255 of 510 +--d0150:= D(m0150,x) +--E 255 + +--S 256 of 510 +t0151:= cosh(a+b*x^n)/x +--R +--R +--R n +--R cosh(b x + a) +--R (160) -------------- +--R x +--R Type: Expression Integer +--E 256 + +--S 257 of 510 +r0151:= (cosh(a)*Chi(b*x^n)+sinh(a)*Shi(b*x^n))/n +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 257 + +--S 258 of 510 +a0151:= integrate(t0151,x) +--R +--R +--R x n +--R ++ cosh(b %I + a) +--R (161) | --------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 258 + +--S 259 of 510 +--m0151:= a0151-r0151 +--E 259 + +--S 260 of 510 +--d0151:= D(m0151,x) +--E 260 + +--S 261 of 510 +t0152:= cosh(a+b*x)/x^2 +--R +--R +--R cosh(b x + a) +--R (162) ------------- +--R 2 +--R x +--R Type: Expression Integer +--E 261 + +--S 262 of 510 +r0152:= -cosh(a+b*x)/x+b*Chi(b*x)*sinh(a)+b*cosh(a)*Shi(b*x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 262 + +--S 263 of 510 +a0152:= integrate(t0152,x) +--R +--R +--R x +--R ++ cosh(%I b + a) +--R (163) | -------------- d%I +--R ++ 2 +--R %I +--R Type: Union(Expression Integer,...) +--E 263 + +--S 264 of 510 +--m0152:= a0152-r0152 +--E 264 + +--S 265 of 510 +--d0152:= D(m0152,x) +--E 265 + +--S 266 of 510 +t0153:= cosh(a+b*x)^3/x^2 +--R +--R +--R 3 +--R cosh(b x + a) +--R (164) -------------- +--R 2 +--R x +--R Type: Expression Integer +--E 266 + +--S 267 of 510 +r0153:= -1/4*(3*cosh(a+b*x)+cosh(3*a+3*b*x)-3*b*Chi(b*x)*sinh(a)*x-_ + 3*b*Chi(3*b*x)*sinh(3*a)*x-3*b*cosh(a)*Shi(b*x)*x-_ + 3*b*cosh(3*a)*Shi(3*b*x)*x)/x +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 267 + +--S 268 of 510 +a0153:= integrate(t0153,x) +--R +--R +--R x 3 +--R ++ cosh(%I b + a) +--R (165) | --------------- d%I +--R ++ 2 +--R %I +--R Type: Union(Expression Integer,...) +--E 268 + +--S 269 of 510 +--m0153:= a0153-r0153 +--E 269 + +--S 270 of 510 +--d0153:= D(m0153,x) +--E 270 + +--S 271 of 510 +t0154:= cosh(a+b*x)/x^3 +--R +--R +--R cosh(b x + a) +--R (166) ------------- +--R 3 +--R x +--R Type: Expression Integer +--E 271 + +--S 272 of 510 +r0154:= -1/2*(cosh(a+b*x)-b^2*cosh(a)*Chi(b*x)*x^2+_ + x*sinh(a+b*x)*b-b^2*sinh(a)*Shi(b*x)*x^2)/x^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 272 + +--S 273 of 510 +a0154:= integrate(t0154,x) +--R +--R +--R x +--R ++ cosh(%I b + a) +--R (167) | -------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 273 + +--S 274 of 510 +--m0154:= a0154-r0154 +--E 274 + +--S 275 of 510 +--d0154:= D(m0154,x) +--E 275 + +--S 276 of 510 +t0155:= cosh(a+b*x)^2/x^3 +--R +--R +--R 2 +--R cosh(b x + a) +--R (168) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 276 + +--S 277 of 510 +r0155:= -1/2*cosh(a+b*x)^2/x^2+b^2*cosh(2*a)*Chi(2*b*x)-_ + b*cosh(a+b*x)*sinh(a+b*x)/x+b^2*sinh(2*a)*Shi(2*b*x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 277 + +--S 278 of 510 +a0155:= integrate(t0155,x) +--R +--R +--R x 2 +--R ++ cosh(%I b + a) +--R (169) | --------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 278 + +--S 279 of 510 +--m0155:= a0155-r0155 +--E 279 + +--S 280 of 510 +--d0155:= D(m0155,x) +--E 280 + +--S 281 of 510 +t0156:= cosh(a+b*x)^3/x^3 +--R +--R +--R 3 +--R cosh(b x + a) +--R (170) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 281 + +--S 282 of 510 +r0156:= -1/2*cosh(a+b*x)^3/x^2+3/8*b^2*cosh(a)*Chi(b*x)+_ + 9/8*b^2*cosh(3*a)*Chi(3*b*x)-3/2*b*cosh(a+b*x)^2*sinh(a+b*x)/x+_ + 3/8*b^2*sinh(a)*Shi(b*x)+9/8*b^2*sinh(3*a)*Shi(3*b*x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 282 + +--S 283 of 510 +a0156:= integrate(t0156,x) +--R +--R +--R x 3 +--R ++ cosh(%I b + a) +--R (171) | --------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 283 + +--S 284 of 510 +--m0156:= a0156-r0156 +--E 284 + +--S 285 of 510 +--d0156:= D(m0156,x) +--E 285 + +--S 286 of 510 +t0157:= cosh(x)^(1/2) +--R +--R +--R +-------+ +--R (172) \|cosh(x) +--R Type: Expression Integer +--E 286 + +--S 287 of 510 +r0157:= -2*%i*EllipticE(1/2*%i*x,2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 287 + +--S 288 of 510 +a0157:= integrate(t0157,x) +--R +--R +--R x +--R ++ +--------+ +--R (173) | \|cosh(%I) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 288 + +--S 289 of 510 +--m0157:= a0157-r0157 +--E 289 + +--S 290 of 510 +--d0157:= D(m0157,x) +--E 290 + +--S 291 of 510 +t0158:= (cosh(x)^3)^(1/2) +--R +--R +--R +--------+ +--R | 3 +--R (174) \|cosh(x) +--R Type: Expression Integer +--E 291 + +--S 292 of 510 +r0158:= 2/3*(cosh(x)^3)^(1/2)*(-%i*EllipticF(1/2*%i*x,2)+_ + cosh(x)^(1/2)*sinh(x))/cosh(x)^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 292 + +--S 293 of 510 +a0158:= integrate(t0158,x) +--R +--R +--R x +---------+ +--R ++ | 3 +--R (175) | \|cosh(%I) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 293 + +--S 294 of 510 +--m0158:= a0158-r0158 +--E 294 + +--S 295 of 510 +--d0158:= D(m0158,x) +--E 295 + +--S 296 of 510 +t0159:= (cosh(x)^4)^(1/2) +--R +--R +--R +--------+ +--R | 4 +--R (176) \|cosh(x) +--R Type: Expression Integer +--E 296 + +--S 297 of 510 +r0159:= 1/2*csgn(cosh(x)^2)*(x+cosh(x)*sinh(x)) +--R +--R There are no library operations named csgn +--R Use HyperDoc Browse or issue +--R )what op csgn +--R to learn if there is any operation containing " csgn " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named csgn +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 297 + +--S 298 of 510 +a0159:= integrate(t0159,x) +--R +--R +--R cosh(x)sinh(x) + x +--R (177) ------------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 298 + +--S 299 of 510 +--m0159:= a0159-r0159 +--E 299 + +--S 300 of 510 +--d0159:= D(m0159,x) +--E 300 + +--S 301 of 510 +t0160:= 1/(a+b*cosh(c+d*x))^4 +--R +--R +--R (178) +--R 1 +--R / +--R 4 4 3 3 2 2 2 +--R b cosh(d x + c) + 4a b cosh(d x + c) + 6a b cosh(d x + c) +--R + +--R 3 4 +--R 4a b cosh(d x + c) + a +--R Type: Expression Integer +--E 301 + +--S 302 of 510 +r0160:= a*(2*a^2+3*b^2)*atanh((a-b)*tanh(1/2*c+1/2*d*x)/(a^2-b^2)^(1/2))/_ + (a^2-b^2)^(7/2)/d-1/3*b*sinh(c+d*x)/(a^2-b^2)/d/(a+b*cosh(c+d*x))^3-_ + 5/6*a*b*sinh(c+d*x)/(a^2-b^2)^2/d/(a+b*cosh(c+d*x))^2-_ + 1/6*b*(11*a^2+4*b^2)*sinh(c+d*x)/(a^2-b^2)^3/d/(a+b*cosh(c+d*x)) +--R +--R +--R (179) +--R 5 3 3 3 2 4 4 2 2 +--R (18a b + 12a b )cosh(d x + c) + (54a b + 36a b )cosh(d x + c) +--R + +--R 3 3 5 4 2 6 +--R (54a b + 36a b)cosh(d x + c) + 18a b + 12a +--R * +--R d x + c +--R (b - a)tanh(-------) +--R 2 +--R atanh(--------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 2 3 2 4 3 2 5 +--R (4b + 11a b )cosh(d x + c) + (3a b + 27a b )cosh(d x + c) + 2b +--R + +--R 2 3 4 +--R - 5a b + 18a b +--R * +--R +---------+ +--R | 2 2 +--R sinh(d x + c)\|- b + a +--R / +--R 9 2 7 4 5 6 3 3 +--R (6b - 18a b + 18a b - 6a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 +--R (18a b - 54a b + 54a b - 18a b)d cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 +--R (6a b - 18a b + 18a b - 6a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 302 + +--S 303 of 510 +a0160:= integrate(t0160,x) +--R +--R +--R (180) +--R [ +--R 5 3 3 6 +--R (9a b + 6a b )sinh(d x + c) +--R + +--R 5 3 3 2 4 4 2 5 +--R ((54a b + 36a b )cosh(d x + c) + 54a b + 36a b )sinh(d x + c) +--R + +--R 5 3 3 2 +--R (135a b + 90a b )cosh(d x + c) +--R + +--R 2 4 4 2 5 3 3 5 +--R (270a b + 180a b )cosh(d x + c) + 27a b + 126a b + 72a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 5 3 3 3 +--R (180a b + 120a b )cosh(d x + c) +--R + +--R 2 4 4 2 2 +--R (540a b + 360a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 +--R (108a b + 504a b + 288a b)cosh(d x + c) + 108a b + 144a b +--R + +--R 6 +--R 48a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 3 3 4 +--R (135a b + 90a b )cosh(d x + c) +--R + +--R 2 4 4 2 3 +--R (540a b + 360a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (162a b + 756a b + 432a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 5 3 3 +--R (324a b + 432a b + 144a )cosh(d x + c) + 27a b + 126a b +--R + +--R 5 +--R 72a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 3 3 5 +--R (54a b + 36a b )cosh(d x + c) +--R + +--R 2 4 4 2 4 +--R (270a b + 180a b )cosh(d x + c) +--R + +--R 5 3 3 5 3 +--R (108a b + 504a b + 288a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (324a b + 432a b + 144a )cosh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 +--R (54a b + 252a b + 144a b)cosh(d x + c) + 54a b + 36a b +--R * +--R sinh(d x + c) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (9a b + 6a b )cosh(d x + c) + (54a b + 36a b )cosh(d x + c) +--R + +--R 5 3 3 5 4 +--R (27a b + 126a b + 72a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 3 +--R (108a b + 144a b + 48a )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (27a b + 126a b + 72a b)cosh(d x + c) +--R + +--R 2 4 4 2 5 3 3 +--R (54a b + 36a b )cosh(d x + c) + 9a b + 6a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 +--R (- 2b + 2a b)sinh(d x + c) + (- 2b + 2a b)cosh(d x + c) +--R + +--R 2 3 +--R - 2a b + 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) + b +--R + +--R 4 3 2 5 +--R (- 18a b - 12a b )sinh(d x + c) +--R + +--R 4 3 2 2 3 4 4 +--R ((- 90a b - 60a b )cosh(d x + c) - 90a b - 60a b)sinh(d x + c) +--R + +--R 4 3 2 2 +--R (- 180a b - 120a b )cosh(d x + c) +--R + +--R 2 3 4 4 3 2 5 +--R (- 360a b - 240a b)cosh(d x + c) - 48a b - 164a b - 88a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 3 +--R (- 180a b - 120a b )cosh(d x + c) +--R + +--R 2 3 4 2 +--R (- 540a b - 360a b)cosh(d x + c) +--R + +--R 4 3 2 5 5 2 3 +--R (- 144a b - 492a b - 264a )cosh(d x + c) - 24b - 72a b +--R + +--R 4 +--R - 204a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 4 +--R (- 90a b - 60a b )cosh(d x + c) +--R + +--R 2 3 4 3 +--R (- 360a b - 240a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 +--R (- 144a b - 492a b - 264a )cosh(d x + c) +--R + +--R 5 2 3 4 4 3 2 +--R (- 48b - 144a b - 408a b)cosh(d x + c) - 30a b - 120a b +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 5 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 3 4 4 +--R (- 90a b - 60a b)cosh(d x + c) +--R + +--R 4 3 2 5 3 +--R (- 48a b - 164a b - 88a )cosh(d x + c) +--R + +--R 5 2 3 4 2 +--R (- 24b - 72a b - 204a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 3 +--R (- 30a b - 120a b )cosh(d x + c) - 8b - 22a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 9 2 7 4 5 6 3 6 +--R (6b - 18a b + 18a b - 6a b )d sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 +--R (36b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (36a b - 108a b + 108a b - 36a b )d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 2 +--R (90b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (180a b - 540a b + 540a b - 180a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (18b + 18a b - 162a b + 198a b - 72a b)d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 3 +--R (120b - 360a b + 360a b - 120a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (360a b - 1080a b + 1080a b - 360a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (72b + 72a b - 648a b + 792a b - 288a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 +--R (72a b - 168a b + 72a b + 72a b - 48a )d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 4 +--R (90b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (360a b - 1080a b + 1080a b - 360a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (108b + 108a b - 972a b + 1188a b - 432a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 +--R (216a b - 504a b + 216a b + 216a b - 144a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (18b + 18a b - 162a b + 198a b - 72a b)d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 5 +--R (36b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (180a b - 540a b + 540a b - 180a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 3 +--R (72b + 72a b - 648a b + 792a b - 288a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 2 +--R (216a b - 504a b + 216a b + 216a b - 144a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (36b + 36a b - 324a b + 396a b - 144a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (36a b - 108a b + 108a b - 36a b )d +--R * +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 6 +--R (6b - 18a b + 18a b - 6a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (36a b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 4 +--R (18b + 18a b - 162a b + 198a b - 72a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (72a b - 168a b + 72a b + 72a b - 48a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (18b + 18a b - 162a b + 198a b - 72a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (36a b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 +--R (6b - 18a b + 18a b - 6a b )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 5 3 3 6 +--R (- 9a b - 6a b )sinh(d x + c) +--R + +--R 5 3 3 2 4 4 2 5 +--R ((- 54a b - 36a b )cosh(d x + c) - 54a b - 36a b )sinh(d x + c) +--R + +--R 5 3 3 2 +--R (- 135a b - 90a b )cosh(d x + c) +--R + +--R 2 4 4 2 5 3 3 5 +--R (- 270a b - 180a b )cosh(d x + c) - 27a b - 126a b - 72a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 5 3 3 3 +--R (- 180a b - 120a b )cosh(d x + c) +--R + +--R 2 4 4 2 2 +--R (- 540a b - 360a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 108a b - 504a b - 288a b)cosh(d x + c) - 108a b - 144a b +--R + +--R 6 +--R - 48a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 5 3 3 4 +--R (- 135a b - 90a b )cosh(d x + c) +--R + +--R 2 4 4 2 3 +--R (- 540a b - 360a b )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (- 162a b - 756a b - 432a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 5 3 3 +--R (- 324a b - 432a b - 144a )cosh(d x + c) - 27a b - 126a b +--R + +--R 5 +--R - 72a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 3 3 5 +--R (- 54a b - 36a b )cosh(d x + c) +--R + +--R 2 4 4 2 4 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 5 3 3 5 3 +--R (- 108a b - 504a b - 288a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (- 324a b - 432a b - 144a )cosh(d x + c) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 54a b - 252a b - 144a b)cosh(d x + c) - 54a b - 36a b +--R * +--R sinh(d x + c) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (- 9a b - 6a b )cosh(d x + c) + (- 54a b - 36a b )cosh(d x + c) +--R + +--R 5 3 3 5 4 +--R (- 27a b - 126a b - 72a b)cosh(d x + c) +--R + +--R 2 4 4 2 6 3 +--R (- 108a b - 144a b - 48a )cosh(d x + c) +--R + +--R 5 3 3 5 2 +--R (- 27a b - 126a b - 72a b)cosh(d x + c) +--R + +--R 2 4 4 2 5 3 3 +--R (- 54a b - 36a b )cosh(d x + c) - 9a b - 6a b +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(d x + c) + b cosh(d x + c) + a)\|b - a +--R atan(-------------------------------------------------) +--R 2 2 +--R b - a +--R + +--R 4 3 2 5 +--R (- 9a b - 6a b )sinh(d x + c) +--R + +--R 4 3 2 2 3 4 4 +--R ((- 45a b - 30a b )cosh(d x + c) - 45a b - 30a b)sinh(d x + c) +--R + +--R 4 3 2 2 +--R (- 90a b - 60a b )cosh(d x + c) +--R + +--R 2 3 4 4 3 2 5 +--R (- 180a b - 120a b)cosh(d x + c) - 24a b - 82a b - 44a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 3 +--R (- 90a b - 60a b )cosh(d x + c) +--R + +--R 2 3 4 2 +--R (- 270a b - 180a b)cosh(d x + c) +--R + +--R 4 3 2 5 5 2 3 +--R (- 72a b - 246a b - 132a )cosh(d x + c) - 12b - 36a b +--R + +--R 4 +--R - 102a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 4 +--R (- 45a b - 30a b )cosh(d x + c) +--R + +--R 2 3 4 3 +--R (- 180a b - 120a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 +--R (- 72a b - 246a b - 132a )cosh(d x + c) +--R + +--R 5 2 3 4 4 3 2 +--R (- 24b - 72a b - 204a b)cosh(d x + c) - 15a b - 60a b +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 9a b - 6a b )cosh(d x + c) + (- 45a b - 30a b)cosh(d x + c) +--R + +--R 4 3 2 5 3 +--R (- 24a b - 82a b - 44a )cosh(d x + c) +--R + +--R 5 2 3 4 2 +--R (- 12b - 36a b - 102a b)cosh(d x + c) +--R + +--R 4 3 2 5 2 3 +--R (- 15a b - 60a b )cosh(d x + c) - 4b - 11a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 9 2 7 4 5 6 3 6 +--R (3b - 9a b + 9a b - 3a b )d sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 +--R (18b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (18a b - 54a b + 54a b - 18a b )d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 2 +--R (45b - 135a b + 135a b - 45a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (90a b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (9b + 9a b - 81a b + 99a b - 36a b)d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 3 +--R (60b - 180a b + 180a b - 60a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 2 +--R (180a b - 540a b + 540a b - 180a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (36b + 36a b - 324a b + 396a b - 144a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 +--R (36a b - 84a b + 36a b + 36a b - 24a )d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 4 +--R (45b - 135a b + 135a b - 45a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (180a b - 540a b + 540a b - 180a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (54b + 54a b - 486a b + 594a b - 216a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 +--R (108a b - 252a b + 108a b + 108a b - 72a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (9b + 9a b - 81a b + 99a b - 36a b)d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 5 +--R (18b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (90a b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 3 +--R (36b + 36a b - 324a b + 396a b - 144a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 2 +--R (108a b - 252a b + 108a b + 108a b - 72a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 +--R (18b + 18a b - 162a b + 198a b - 72a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (18a b - 54a b + 54a b - 18a b )d +--R * +--R sinh(d x + c) +--R + +--R 9 2 7 4 5 6 3 6 +--R (3b - 9a b + 9a b - 3a b )d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 4 +--R (9b + 9a b - 81a b + 99a b - 36a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (36a b - 84a b + 36a b + 36a b - 24a )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (9b + 9a b - 81a b + 99a b - 36a b)d cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 9 2 7 4 5 6 3 +--R (3b - 9a b + 9a b - 3a b )d +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 303 + +--S 304 of 510 +m0160a:= a0160.1-r0160 +--R +--R +--R (181) +--R 8 3 6 3 2 7 4 5 2 +--R (9a b + 6a b )cosh(d x + c) + (27a b + 18a b )cosh(d x + c) +--R + +--R 3 6 5 4 4 5 6 3 +--R (27a b + 18a b )cosh(d x + c) + 9a b + 6a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 3 6 4 +--R (54a b + 36a b )cosh(d x + c) +--R + +--R 2 7 4 5 3 +--R (216a b + 144a b )cosh(d x + c) +--R + +--R 3 6 5 4 2 +--R (324a b + 216a b )cosh(d x + c) +--R + +--R 4 5 6 3 5 4 7 2 +--R (216a b + 144a b )cosh(d x + c) + 54a b + 36a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 3 6 5 +--R (135a b + 90a b )cosh(d x + c) +--R + +--R 2 7 4 5 4 +--R (675a b + 450a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 3 +--R (27a b + 1341a b + 882a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 2 +--R (81a b + 1323a b + 846a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (81a b + 648a b + 396a b )cosh(d x + c) + 27a b + 126a b +--R + +--R 8 +--R 72a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 3 6 6 +--R (180a b + 120a b )cosh(d x + c) +--R + +--R 2 7 4 5 5 +--R (1080a b + 720a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 4 +--R (108a b + 2664a b + 1728a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 3 +--R (432a b + 3456a b + 2112a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 2 +--R (648a b + 2484a b + 1368a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (432a b + 936a b + 432a b)cosh(d x + c) + 108a b + 144a b +--R + +--R 9 +--R 48a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 3 6 7 +--R (135a b + 90a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 +--R (945a b + 630a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 5 +--R (162a b + 2781a b + 1782a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 4 +--R (810a b + 4455a b + 2610a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (27a b + 1584a b + 4176a b + 2088a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (81a b + 1512a b + 2268a b + 864a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 4 5 +--R (81a b + 702a b + 648a b + 144a )cosh(d x + c) + 27a b +--R + +--R 6 3 8 +--R 126a b + 72a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 3 6 8 +--R (54a b + 36a b )cosh(d x + c) +--R + +--R 2 7 4 5 7 +--R (432a b + 288a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 6 +--R (108a b + 1476a b + 936a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 5 +--R (648a b + 2808a b + 1584a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (54a b + 1548a b + 3222a b + 1476a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 3 +--R (216a b + 1872a b + 2232a b + 720a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (324a b + 1188a b + 864a b + 144a )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (216a b + 360a b + 144a b)cosh(d x + c) + 54a b + 36a b +--R * +--R sinh(d x + c) +--R + +--R 8 3 6 9 2 7 4 5 8 +--R (9a b + 6a b )cosh(d x + c) + (81a b + 54a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 +--R (27a b + 315a b + 198a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 6 +--R (189a b + 693a b + 378a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (27a b + 531a b + 936a b + 396a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 4 +--R (135a b + 765a b + 774a b + 216a b)cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (9a b + 249a b + 594a b + 360a b + 48a )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (27a b + 207a b + 234a b + 72a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (27a b + 72a b + 36a b )cosh(d x + c) + 9a b + 6a b +--R * +--R log +--R 2 2 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a b)sinh(d x + c) +--R + +--R 2 2 2 2 +--R b cosh(d x + c) + 2a b cosh(d x + c) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 +--R (- 2b + 2a b)sinh(d x + c) + (- 2b + 2a b)cosh(d x + c) +--R + +--R 2 3 +--R - 2a b + 2a +--R / +--R 2 +--R b sinh(d x + c) + (2b cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R b cosh(d x + c) + 2a cosh(d x + c) + b +--R + +--R 8 3 6 3 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 2 +--R (- 54a b - 36a b )cosh(d x + c) +--R + +--R 3 6 5 4 4 5 6 3 +--R (- 54a b - 36a b )cosh(d x + c) - 18a b - 12a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 3 6 4 +--R (- 108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 3 +--R (- 432a b - 288a b )cosh(d x + c) +--R + +--R 3 6 5 4 2 +--R (- 648a b - 432a b )cosh(d x + c) +--R + +--R 4 5 6 3 5 4 7 2 +--R (- 432a b - 288a b )cosh(d x + c) - 108a b - 72a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 3 6 5 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 4 +--R (- 1350a b - 900a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 3 +--R (- 54a b - 2682a b - 1764a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 2 +--R (- 162a b - 2646a b - 1692a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (- 162a b - 1296a b - 792a b )cosh(d x + c) - 54a b - 252a b +--R + +--R 8 +--R - 144a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 3 6 6 +--R (- 360a b - 240a b )cosh(d x + c) +--R + +--R 2 7 4 5 5 +--R (- 2160a b - 1440a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 4 +--R (- 216a b - 5328a b - 3456a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 3 +--R (- 864a b - 6912a b - 4224a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 2 +--R (- 1296a b - 4968a b - 2736a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (- 864a b - 1872a b - 864a b)cosh(d x + c) - 216a b - 288a b +--R + +--R 9 +--R - 96a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 3 6 7 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 +--R (- 1890a b - 1260a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 5 +--R (- 324a b - 5562a b - 3564a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 4 +--R (- 1620a b - 8910a b - 5220a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (- 54a b - 3168a b - 8352a b - 4176a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 162a b - 3024a b - 4536a b - 1728a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 4 5 +--R (- 162a b - 1404a b - 1296a b - 288a )cosh(d x + c) - 54a b +--R + +--R 6 3 8 +--R - 252a b - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 3 6 8 +--R (- 108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 7 +--R (- 864a b - 576a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 6 +--R (- 216a b - 2952a b - 1872a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 5 +--R (- 1296a b - 5616a b - 3168a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (- 108a b - 3096a b - 6444a b - 2952a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 432a b - 3744a b - 4464a b - 1440a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (- 648a b - 2376a b - 1728a b - 288a )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (- 432a b - 720a b - 288a b)cosh(d x + c) - 108a b - 72a b +--R * +--R sinh(d x + c) +--R + +--R 8 3 6 9 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 8 +--R (- 162a b - 108a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 +--R (- 54a b - 630a b - 396a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 6 +--R (- 378a b - 1386a b - 756a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (- 54a b - 1062a b - 1872a b - 792a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 4 +--R (- 270a b - 1530a b - 1548a b - 432a b)cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (- 18a b - 498a b - 1188a b - 720a b - 96a )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 54a b - 414a b - 468a b - 144a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (- 54a b - 144a b - 72a b )cosh(d x + c) - 18a b - 12a b +--R * +--R d x + c +--R (b - a)tanh(-------) +--R 2 +--R atanh(--------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 8 2 6 2 7 3 5 +--R (- 4b - 11a b )cosh(d x + c) + (- 3a b - 27a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 +--R - 2b + 5a b - 18a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 2 6 3 +--R (- 24b - 66a b )cosh(d x + c) +--R + +--R 7 3 5 2 +--R (- 42a b - 228a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 +--R (- 12b + 12a b - 270a b )cosh(d x + c) - 12a b + 30a b +--R + +--R 5 3 +--R - 108a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 2 6 4 +--R (- 60b - 165a b )cosh(d x + c) +--R + +--R 7 3 5 3 +--R (- 183a b - 747a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (- 42b - 150a b - 1248a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (- 69a b - 21a b - 900a b )cosh(d x + c) - 6b - 9a b - 12a b +--R + +--R 6 2 +--R - 228a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 2 6 5 +--R (- 80b - 220a b )cosh(d x + c) +--R + +--R 7 3 5 4 +--R (- 390a b - 1260a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (- 88b - 764a b - 2748a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (- 204a b - 872a b - 2824a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 7 +--R (- 24b - 72a b - 684a b - 1320a b )cosh(d x + c) - 24a b +--R + +--R 3 5 5 3 7 +--R 44a b - 266a b - 204a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 2 6 6 +--R (- 60b - 165a b )cosh(d x + c) +--R + +--R 7 3 5 5 +--R (- 465a b - 1185a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (- 102b - 1491a b - 3282a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (- 366a b - 2678a b - 4456a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (- 48b - 387a b - 2892a b - 3048a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 8 +--R (- 81a b - 129a b - 1704a b - 936a b)cosh(d x + c) - 6b +--R + +--R 2 6 4 4 6 2 8 +--R - 9a b - 42a b - 380a b - 88a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 2 6 7 +--R (- 24b - 66a b )cosh(d x + c) +--R + +--R 7 3 5 6 +--R (- 318a b - 612a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 5 +--R (- 60b - 1464a b - 2166a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (- 384a b - 3462a b - 3804a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 3 +--R (- 72b - 810a b - 4764a b - 3504a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 186a b - 816a b - 3804a b - 1584a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 +--R (- 12b - 108a b - 510a b - 1536a b - 264a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 +--R - 12a b + 6a b - 180a b - 204a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 2 6 8 +--R (- 4b - 11a b )cosh(d x + c) +--R + +--R 7 3 5 7 +--R (- 117a b - 153a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 +--R (- 14b - 724a b - 732a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 5 +--R (- 213a b - 2093a b - 1684a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 4 +--R (- 66b - 702a b - 3528a b - 2004a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 3 +--R (- 231a b - 1123a b - 3560a b - 1176a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (- 10b - 272a b - 1092a b - 1932a b - 264a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 8 +--R (- 15a b - 135a b - 612a b - 408a b)cosh(d x + c) - 2b +--R + +--R 2 6 4 4 6 2 +--R 5a b - 48a b - 120a b +--R * +--R sinh(d x + c) +--R + +--R 7 3 5 8 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 6 4 4 7 +--R (- 144a b - 96a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 6 +--R (- 48a b - 488a b - 304a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 5 +--R (- 24b - 216a b - 984a b - 456a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 4 +--R (- 102a b - 480a b - 1194a b - 324a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (- 8b - 184a b - 624a b - 776a b - 88a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 24a b - 180a b - 432a b - 204a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 5 5 3 +--R (- 24a b - 96a b - 120a b )cosh(d x + c) - 8a b - 22a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 12 2 10 4 8 6 6 3 +--R (6b - 18a b + 18a b - 6a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 2 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (6a b - 18a b + 18a b - 6a b )d +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 4 +--R (36b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (144a b - 432a b + 432a b - 144a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (216a b - 648a b + 648a b - 216a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (144a b - 432a b + 432a b - 144a b )d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 +--R (36a b - 108a b + 108a b - 36a b )d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 5 +--R (90b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 4 +--R (450a b - 1350a b + 1350a b - 450a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (18b + 828a b - 2592a b + 2628a b - 882a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (54a b + 684a b - 2376a b + 2484a b - 846a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (54a b + 234a b - 1026a b + 1134a b - 396a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (18a b + 18a b - 162a b + 198a b - 72a b)d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 6 +--R (120b - 360a b + 360a b - 120a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 5 +--R (720a b - 2160a b + 2160a b - 720a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (72b + 1512a b - 4968a b + 5112a b - 1728a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (288a b + 1248a b - 5472a b + 6048a b - 2112a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (432a b + 72a b - 2808a b + 3672a b - 1368a b )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (288a b - 432a b - 432a b + 1008a b - 432a b)d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 12 +--R (72a b - 168a b + 72a b + 72a b - 48a )d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 7 +--R (90b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 6 +--R (630a b - 1890a b + 1890a b - 630a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (108b + 1458a b - 5022a b + 5238a b - 1782a b )d +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (540a b + 990a b - 6210a b + 7290a b - 2610a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (18b + 990a b - 990a b - 3150a b + 5220a b - 2088a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (54a b + 810a b - 1890a b + 270a b + 1620a b - 864a b)d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 12 +--R (54a b + 270a b - 990a b + 810a b - 144a )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (18a b + 18a b - 162a b + 198a b - 72a b)d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 +--R (36b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 7 +--R (288a b - 864a b + 864a b - 288a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 6 +--R (72b + 720a b - 2592a b + 2736a b - 936a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (432a b + 288a b - 3456a b + 4320a b - 1584a b )d +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (36b + 900a b - 1440a b - 1440a b + 3420a b - 1476a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (144a b + 720a b - 2304a b + 1152a b + 1008a b - 720a b)d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 10 6 6 8 4 10 2 12 +--R (216a b - 1152a b + 1296a b - 216a b - 144a )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 9 5 7 9 3 11 +--R (144a b - 288a b + 288a b - 144a b)d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 +--R (36a b - 108a b + 108a b - 36a b )d +--R * +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 9 +--R (6b - 18a b + 18a b - 6a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 8 +--R (54a b - 162a b + 162a b - 54a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 7 +--R (18b + 144a b - 540a b + 576a b - 198a b )d cosh(d x + c) +--R + +--R 11 5 7 7 5 9 3 6 +--R (126a b - 756a b + 1008a b - 378a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (18b + 288a b - 576a b - 180a b + 846a b - 396a b )d +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (90a b + 180a b - 864a b + 612a b + 198a b - 216a b)d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 12 +--R (6b + 144a b - 180a b - 336a b + 558a b - 144a b - 48a )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (18a b + 72a b - 252a b + 144a b + 90a b - 72a b)d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (18a b - 18a b - 54a b + 90a b - 36a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (6a b - 18a b + 18a b - 6a b )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 304 + +--S 305 of 510 +d0160a:= D(m01601,x) +--R +--R +--R (182) 0 +--R Type: Polynomial Integer +--E 305 + +--S 306 of 510 +m0160b:= a0160.2-r0160 +--R +--R +--R (183) +--R 8 3 6 3 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 2 +--R (- 54a b - 36a b )cosh(d x + c) +--R + +--R 3 6 5 4 4 5 6 3 +--R (- 54a b - 36a b )cosh(d x + c) - 18a b - 12a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 3 6 4 +--R (- 108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 3 +--R (- 432a b - 288a b )cosh(d x + c) +--R + +--R 3 6 5 4 2 +--R (- 648a b - 432a b )cosh(d x + c) +--R + +--R 4 5 6 3 5 4 7 2 +--R (- 432a b - 288a b )cosh(d x + c) - 108a b - 72a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 3 6 5 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 4 +--R (- 1350a b - 900a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 3 +--R (- 54a b - 2682a b - 1764a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 2 +--R (- 162a b - 2646a b - 1692a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (- 162a b - 1296a b - 792a b )cosh(d x + c) - 54a b - 252a b +--R + +--R 8 +--R - 144a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 3 6 6 +--R (- 360a b - 240a b )cosh(d x + c) +--R + +--R 2 7 4 5 5 +--R (- 2160a b - 1440a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 4 +--R (- 216a b - 5328a b - 3456a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 3 +--R (- 864a b - 6912a b - 4224a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 2 +--R (- 1296a b - 4968a b - 2736a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (- 864a b - 1872a b - 864a b)cosh(d x + c) - 216a b - 288a b +--R + +--R 9 +--R - 96a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 3 6 7 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 +--R (- 1890a b - 1260a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 5 +--R (- 324a b - 5562a b - 3564a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 4 +--R (- 1620a b - 8910a b - 5220a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (- 54a b - 3168a b - 8352a b - 4176a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 162a b - 3024a b - 4536a b - 1728a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 4 5 +--R (- 162a b - 1404a b - 1296a b - 288a )cosh(d x + c) - 54a b +--R + +--R 6 3 8 +--R - 252a b - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 3 6 8 +--R (- 108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 7 +--R (- 864a b - 576a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 6 +--R (- 216a b - 2952a b - 1872a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 5 +--R (- 1296a b - 5616a b - 3168a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (- 108a b - 3096a b - 6444a b - 2952a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 432a b - 3744a b - 4464a b - 1440a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (- 648a b - 2376a b - 1728a b - 288a )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (- 432a b - 720a b - 288a b)cosh(d x + c) - 108a b - 72a b +--R * +--R sinh(d x + c) +--R + +--R 8 3 6 9 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 8 +--R (- 162a b - 108a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 +--R (- 54a b - 630a b - 396a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 6 +--R (- 378a b - 1386a b - 756a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (- 54a b - 1062a b - 1872a b - 792a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 4 +--R (- 270a b - 1530a b - 1548a b - 432a b)cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (- 18a b - 498a b - 1188a b - 720a b - 96a )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 54a b - 414a b - 468a b - 144a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (- 54a b - 144a b - 72a b )cosh(d x + c) - 18a b - 12a b +--R * +--R d x + c +--R +-------+ (b - a)tanh(-------) +--R | 2 2 2 +--R \|b - a atanh(--------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 8 3 6 3 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 2 +--R (- 54a b - 36a b )cosh(d x + c) +--R + +--R 3 6 5 4 4 5 6 3 +--R (- 54a b - 36a b )cosh(d x + c) - 18a b - 12a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 3 6 4 +--R (- 108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 3 +--R (- 432a b - 288a b )cosh(d x + c) +--R + +--R 3 6 5 4 2 +--R (- 648a b - 432a b )cosh(d x + c) +--R + +--R 4 5 6 3 5 4 7 2 +--R (- 432a b - 288a b )cosh(d x + c) - 108a b - 72a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 3 6 5 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 4 +--R (- 1350a b - 900a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 3 +--R (- 54a b - 2682a b - 1764a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 2 +--R (- 162a b - 2646a b - 1692a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (- 162a b - 1296a b - 792a b )cosh(d x + c) - 54a b - 252a b +--R + +--R 8 +--R - 144a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 3 6 6 +--R (- 360a b - 240a b )cosh(d x + c) +--R + +--R 2 7 4 5 5 +--R (- 2160a b - 1440a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 4 +--R (- 216a b - 5328a b - 3456a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 3 +--R (- 864a b - 6912a b - 4224a b )cosh(d x + c) +--R + +--R 3 6 5 4 7 2 2 +--R (- 1296a b - 4968a b - 2736a b )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (- 864a b - 1872a b - 864a b)cosh(d x + c) - 216a b - 288a b +--R + +--R 9 +--R - 96a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 3 6 7 +--R (- 270a b - 180a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 +--R (- 1890a b - 1260a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 5 +--R (- 324a b - 5562a b - 3564a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 4 +--R (- 1620a b - 8910a b - 5220a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 3 +--R (- 54a b - 3168a b - 8352a b - 4176a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 162a b - 3024a b - 4536a b - 1728a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 4 5 +--R (- 162a b - 1404a b - 1296a b - 288a )cosh(d x + c) - 54a b +--R + +--R 6 3 8 +--R - 252a b - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 3 6 8 +--R (- 108a b - 72a b )cosh(d x + c) +--R + +--R 2 7 4 5 7 +--R (- 864a b - 576a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 6 +--R (- 216a b - 2952a b - 1872a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 5 +--R (- 1296a b - 5616a b - 3168a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 4 +--R (- 108a b - 3096a b - 6444a b - 2952a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 432a b - 3744a b - 4464a b - 1440a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (- 648a b - 2376a b - 1728a b - 288a )cosh(d x + c) +--R + +--R 4 5 6 3 8 5 4 7 2 +--R (- 432a b - 720a b - 288a b)cosh(d x + c) - 108a b - 72a b +--R * +--R sinh(d x + c) +--R + +--R 8 3 6 9 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 7 4 5 8 +--R (- 162a b - 108a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 +--R (- 54a b - 630a b - 396a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 6 +--R (- 378a b - 1386a b - 756a b )cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 5 +--R (- 54a b - 1062a b - 1872a b - 792a b )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 4 +--R (- 270a b - 1530a b - 1548a b - 432a b)cosh(d x + c) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (- 18a b - 498a b - 1188a b - 720a b - 96a )cosh(d x + c) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 54a b - 414a b - 468a b - 144a b)cosh(d x + c) +--R + +--R 3 6 5 4 7 2 4 5 6 3 +--R (- 54a b - 144a b - 72a b )cosh(d x + c) - 18a b - 12a b +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sinh(d x + c) + b cosh(d x + c) + a)\|b - a +--R \|- b + a atan(-------------------------------------------------) +--R 2 2 +--R b - a +--R + +--R 8 2 6 2 7 3 5 +--R (- 4b - 11a b )cosh(d x + c) + (- 3a b - 27a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 +--R - 2b + 5a b - 18a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 8 2 6 3 +--R (- 24b - 66a b )cosh(d x + c) +--R + +--R 7 3 5 2 +--R (- 42a b - 228a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 7 3 5 +--R (- 12b + 12a b - 270a b )cosh(d x + c) - 12a b + 30a b +--R + +--R 5 3 +--R - 108a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 8 2 6 4 +--R (- 60b - 165a b )cosh(d x + c) +--R + +--R 7 3 5 3 +--R (- 183a b - 747a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 2 +--R (- 42b - 150a b - 1248a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 8 2 6 4 4 +--R (- 69a b - 21a b - 900a b )cosh(d x + c) - 6b - 9a b - 12a b +--R + +--R 6 2 +--R - 228a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 8 2 6 5 +--R (- 80b - 220a b )cosh(d x + c) +--R + +--R 7 3 5 4 +--R (- 390a b - 1260a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 3 +--R (- 88b - 764a b - 2748a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 2 +--R (- 204a b - 872a b - 2824a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 7 +--R (- 24b - 72a b - 684a b - 1320a b )cosh(d x + c) - 24a b +--R + +--R 3 5 5 3 7 +--R 44a b - 266a b - 204a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 8 2 6 6 +--R (- 60b - 165a b )cosh(d x + c) +--R + +--R 7 3 5 5 +--R (- 465a b - 1185a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 4 +--R (- 102b - 1491a b - 3282a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 3 +--R (- 366a b - 2678a b - 4456a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 2 +--R (- 48b - 387a b - 2892a b - 3048a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 8 +--R (- 81a b - 129a b - 1704a b - 936a b)cosh(d x + c) - 6b +--R + +--R 2 6 4 4 6 2 8 +--R - 9a b - 42a b - 380a b - 88a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 8 2 6 7 +--R (- 24b - 66a b )cosh(d x + c) +--R + +--R 7 3 5 6 +--R (- 318a b - 612a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 5 +--R (- 60b - 1464a b - 2166a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 4 +--R (- 384a b - 3462a b - 3804a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 3 +--R (- 72b - 810a b - 4764a b - 3504a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 186a b - 816a b - 3804a b - 1584a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 +--R (- 12b - 108a b - 510a b - 1536a b - 264a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 +--R - 12a b + 6a b - 180a b - 204a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 2 6 8 +--R (- 4b - 11a b )cosh(d x + c) +--R + +--R 7 3 5 7 +--R (- 117a b - 153a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 +--R (- 14b - 724a b - 732a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 5 +--R (- 213a b - 2093a b - 1684a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 4 +--R (- 66b - 702a b - 3528a b - 2004a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 3 +--R (- 231a b - 1123a b - 3560a b - 1176a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (- 10b - 272a b - 1092a b - 1932a b - 264a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 8 +--R (- 15a b - 135a b - 612a b - 408a b)cosh(d x + c) - 2b +--R + +--R 2 6 4 4 6 2 +--R 5a b - 48a b - 120a b +--R * +--R sinh(d x + c) +--R + +--R 7 3 5 8 +--R (- 18a b - 12a b )cosh(d x + c) +--R + +--R 2 6 4 4 7 +--R (- 144a b - 96a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 6 +--R (- 48a b - 488a b - 304a b )cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 5 +--R (- 24b - 216a b - 984a b - 456a b )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 4 +--R (- 102a b - 480a b - 1194a b - 324a b)cosh(d x + c) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (- 8b - 184a b - 624a b - 776a b - 88a )cosh(d x + c) +--R + +--R 7 3 5 5 3 7 2 +--R (- 24a b - 180a b - 432a b - 204a b)cosh(d x + c) +--R + +--R 2 6 4 4 6 2 3 5 5 3 +--R (- 24a b - 96a b - 120a b )cosh(d x + c) - 8a b - 22a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 12 2 10 4 8 6 6 3 +--R (6b - 18a b + 18a b - 6a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 2 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 +--R (18a b - 54a b + 54a b - 18a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (6a b - 18a b + 18a b - 6a b )d +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 4 +--R (36b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 3 +--R (144a b - 432a b + 432a b - 144a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (216a b - 648a b + 648a b - 216a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (144a b - 432a b + 432a b - 144a b )d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 +--R (36a b - 108a b + 108a b - 36a b )d +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 5 +--R (90b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 4 +--R (450a b - 1350a b + 1350a b - 450a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (18b + 828a b - 2592a b + 2628a b - 882a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (54a b + 684a b - 2376a b + 2484a b - 846a b )d cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (54a b + 234a b - 1026a b + 1134a b - 396a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (18a b + 18a b - 162a b + 198a b - 72a b)d +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 6 +--R (120b - 360a b + 360a b - 120a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 5 +--R (720a b - 2160a b + 2160a b - 720a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (72b + 1512a b - 4968a b + 5112a b - 1728a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (288a b + 1248a b - 5472a b + 6048a b - 2112a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (432a b + 72a b - 2808a b + 3672a b - 1368a b )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (288a b - 432a b - 432a b + 1008a b - 432a b)d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 12 +--R (72a b - 168a b + 72a b + 72a b - 48a )d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 7 +--R (90b - 270a b + 270a b - 90a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 6 +--R (630a b - 1890a b + 1890a b - 630a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (108b + 1458a b - 5022a b + 5238a b - 1782a b )d +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (540a b + 990a b - 6210a b + 7290a b - 2610a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (18b + 990a b - 990a b - 3150a b + 5220a b - 2088a b )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (54a b + 810a b - 1890a b + 270a b + 1620a b - 864a b)d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 12 +--R (54a b + 270a b - 990a b + 810a b - 144a )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 11 +--R (18a b + 18a b - 162a b + 198a b - 72a b)d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 +--R (36b - 108a b + 108a b - 36a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 7 +--R (288a b - 864a b + 864a b - 288a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 6 +--R (72b + 720a b - 2592a b + 2736a b - 936a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (432a b + 288a b - 3456a b + 4320a b - 1584a b )d +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (36b + 900a b - 1440a b - 1440a b + 3420a b - 1476a b )d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (144a b + 720a b - 2304a b + 1152a b + 1008a b - 720a b)d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 10 6 6 8 4 10 2 12 +--R (216a b - 1152a b + 1296a b - 216a b - 144a )d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 9 5 7 9 3 11 +--R (144a b - 288a b + 288a b - 144a b)d cosh(d x + c) +--R + +--R 4 8 6 6 8 4 10 2 +--R (36a b - 108a b + 108a b - 36a b )d +--R * +--R sinh(d x + c) +--R + +--R 12 2 10 4 8 6 6 9 +--R (6b - 18a b + 18a b - 6a b )d cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 8 +--R (54a b - 162a b + 162a b - 54a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 7 +--R (18b + 144a b - 540a b + 576a b - 198a b )d cosh(d x + c) +--R + +--R 11 5 7 7 5 9 3 6 +--R (126a b - 756a b + 1008a b - 378a b )d cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (18b + 288a b - 576a b - 180a b + 846a b - 396a b )d +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (90a b + 180a b - 864a b + 612a b + 198a b - 216a b)d +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 12 +--R (6b + 144a b - 180a b - 336a b + 558a b - 144a b - 48a )d +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (18a b + 72a b - 252a b + 144a b + 90a b - 72a b)d +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (18a b - 18a b - 54a b + 90a b - 36a b )d cosh(d x + c) +--R + +--R 3 9 5 7 7 5 9 3 +--R (6a b - 18a b + 18a b - 6a b )d +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 306 + +--S 307 of 510 +d0160b:= D(m0160b,x) +--R +--R +--R (184) +--R 11 10 2 9 3 8 2 +--R (4b - 4a b + 11a b - 11a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 11 10 +--R (- 2a b + 2a b + 32a b - 32a b )cosh(d x + c) + 6b - 6a b +--R + +--R 2 9 3 8 4 7 5 6 +--R - 18a b + 18a b + 27a b - 27a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 3 +--R (32b - 32a b + 88a b - 88a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 2 +--R (16a b - 16a b + 344a b - 344a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (48b - 48a b - 160a b + 160a b + 472a b - 472a b ) +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 48a b - 48a b - 144a b + 144a b + 216a b - 216a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 4 +--R (108b - 117a b + 297a b - 303a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 3 +--R (161a b - 197a b + 1474a b - 1498a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (182b - 182a b - 474a b + 420a b + 2767a b - 2803a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (326a b - 326a b - 923a b + 887a b + 2262a b - 2286a b ) +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 24b - 24a b + 72a b - 72a b - 324a b + 315a b + 648a b +--R + +--R 7 4 +--R - 654a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 5 +--R (192b - 264a b + 528a b - 576a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 4 +--R (472a b - 832a b + 3248a b - 3488a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (416b - 416a b - 544a b - 176a b + 7808a b - 8288a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1024a b - 1024a b - 2096a b + 1376a b + 8992a b +--R + +--R 6 5 +--R - 9472a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 144b - 144a b + 368a b - 368a b - 1200a b + 840a b +--R + +--R 6 5 7 4 +--R 4768a b - 5008a b +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 144a b - 144a b - 240a b + 240a b + 72a b - 144a b +--R + +--R 7 4 8 3 +--R 864a b - 912a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 6 +--R (168b - 420a b + 462a b - 630a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 +--R (560a b - 2072a b + 3640a b - 4648a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R 588b - 624a b - 196a b - 3572a b + 11158a b +--R + +--R 5 6 +--R - 13654a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1844a b - 1988a b - 1948a b - 3044a b + 16904a b +--R + +--R 6 5 +--R - 20168a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 376b - 376a b + 946a b - 1162a b - 600a b - 3108a b +--R + +--R 6 5 7 4 +--R 12928a b - 15304a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 700a b - 700a b - 1132a b + 988a b + 1912a b - 3376a b +--R + +--R 7 4 8 3 +--R 4400a b - 5312a b +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 36b - 36a b + 180a b - 180a b - 606a b + 570a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 1008a b - 1248a b + 432a b - 576a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 10 3 8 7 +--R (- 504a b - 336a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 6 +--R (- 56a b - 3472a b + 896a b - 3248a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (448b - 664a b - 672a b - 9840a b + 5264a b - 12176a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1768a b - 2848a b - 1216a b - 16064a b + 12048a b +--R + +--R 6 5 +--R - 23088a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R 528b - 528a b + 1248a b - 3408a b + 1840a b +--R + +--R 5 6 6 5 7 4 +--R - 18760a b + 13184a b - 23504a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1392a b - 1392a b - 1808a b - 352a b + 6360a b +--R + +--R 6 5 7 4 8 3 +--R - 16224a b + 6656a b - 12272a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 144b - 144a b + 624a b - 624a b - 1664a b + 584a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 4784a b - 7952a b + 1152a b - 2784a b +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 144a b - 144a b - 240a b + 240a b + 72a b - 288a b +--R + +--R 7 4 8 3 10 +--R 864a b - 1296a b - 192a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 8 +--R (- 168b - 462a b - 462a b + 42a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 7 +--R (- 994a b - 4046a b - 2996a b - 364a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (28b - 568a b - 2660a b - 14800a b - 7658a b - 3742a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 248a b - 3488a b - 3754a b - 30446a b - 9724a b +--R + +--R 6 5 +--R - 11636a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 456b - 510a b - 398a b - 7630a b - 832a b - 40550a b +--R + +--R 6 5 7 4 +--R - 6576a b - 17460a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1638a b - 1854a b - 2864a b - 7648a b + 5656a b +--R + +--R 6 5 7 4 8 3 +--R - 37264a b - 2960a b - 13504a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 220b - 220a b + 1328a b - 1652a b - 2914a b - 4754a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 7360a b - 22192a b - 1584a b - 4992a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 412a b - 412a b - 322a b + 106a b - 68a b - 2884a b +--R + +--R 7 4 8 3 9 2 10 +--R 2960a b - 6848a b - 672a b - 672a b +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 24b - 24a b + 72a b - 72a b - 228a b + 174a b + 360a b +--R + +--R 7 4 8 3 9 2 10 +--R - 828a b + 288a b - 720a b - 96a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 9 +--R (- 192b - 312a b - 528a b + 192a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 8 +--R (- 1304a b - 3232a b - 4336a b + 1312a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 288b - 432a b - 4064a b - 13840a b - 14848a b +--R + +--R 5 6 +--R 3232a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 1424a b - 3616a b - 8048a b - 32608a b - 27488a b +--R + +--R 6 5 +--R 2624a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R 368b - 584a b - 4000a b - 10832a b - 9872a b +--R + +--R 5 6 6 5 7 4 +--R - 48520a b - 30176a b - 2224a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1592a b - 2672a b - 7616a b - 16144a b - 5256a b +--R + +--R 6 5 7 4 8 3 +--R - 49488a b - 20640a b - 5616a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R 128b - 128a b + 2176a b - 4336a b - 8096a b +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 14224a b + 1568a b - 34784a b - 9216a b - 3648a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 352a b - 352a b + 784a b - 2944a b - 3472a b - 8768a b +--R + +--R 7 4 8 3 9 2 10 +--R 2624a b - 15008a b - 2688a b - 768a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 48b - 48a b + 80a b - 80a b + 48a b - 1128a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 128a b - 3472a b + 576a b - 3072a b - 384a b +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 48a b - 48a b - 144a b + 144a b + 216a b - 432a b +--R + +--R 8 3 10 +--R - 432a b - 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 10 +--R (- 108b - 144a b - 297a b + 129a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 9 +--R (- 838a b - 1682a b - 2792a b + 1112a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 274b - 266a b - 3114a b - 8046a b - 11057a b +--R + +--R 5 6 +--R 3857a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 1636a b - 2684a b - 7916a b - 20884a b - 23928a b +--R + +--R 6 5 +--R 6648a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R 360b - 684a b - 5610a b - 9078a b - 13352a b +--R + +--R 5 6 6 5 7 4 +--R - 34420a b - 31168a b + 5752a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1392a b - 3336a b - 11804a b - 15844a b - 13272a b +--R + +--R 6 5 7 4 8 3 +--R - 39504a b - 25456a b + 1984a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 2 9 3 8 4 7 5 6 +--R - 36b + 2100a b - 6876a b - 14354a b - 17002a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 6736a b - 32000a b - 13104a b - 192a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 76a b - 68a b + 1468a b - 7612a b - 9432a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 12312a b - 1248a b - 16896a b - 4032a b - 192a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 20b - 20a b - 117a b - 99a b + 544a b - 4900a b +--R + +--R 6 5 7 4 9 2 10 +--R - 2976a b - 5880a b - 4896a b - 576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 38a b - 38a b - 140a b - 4a b + 264a b - 1872a b +--R + +--R 7 4 8 3 10 +--R - 432a b - 1440a b - 576a b +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 7 4 +--R 6b - 6a b - 18a b + 18a b + 27a b - 63a b - 240a b +--R + +--R 9 2 +--R - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 11 +--R (- 32b - 40a b - 88a b + 40a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 10 +--R (- 280a b - 512a b - 920a b + 392a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 112b - 104a b - 1216a b - 2672a b - 4072a b +--R + +--R 5 6 +--R 1576a b +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 776a b - 1168a b - 3728a b - 7504a b - 9896a b +--R + +--R 6 5 +--R 3272a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 +--R 240b - 456a b - 3376a b - 4112a b - 7408a b +--R + +--R 5 6 6 5 7 4 +--R - 13688a b - 14656a b + 3856a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 792a b - 2304a b - 8288a b - 7840a b - 8984a b +--R + +--R 6 5 7 4 8 3 +--R - 17728a b - 13760a b + 2672a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 80b + 8a b + 944a b - 5312a b - 11392a b - 9848a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 6608a b - 16144a b - 8064a b + 1056a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 280a b - 80a b + 496a b - 7216a b - 9080a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 8416a b - 2848a b - 9680a b - 2688a b + 192a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 16b + 16a b - 280a b - 440a b - 16a b - 5864a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 4128a b - 4656a b - 576a b - 3456a b - 384a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 32a b + 32a b - 40a b - 680a b - 264a b - 2592a b +--R + +--R 7 4 8 3 10 +--R - 864a b - 1584a b - 576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R - 16a b + 16a b + 40a b - 400a b - 144a b - 528a b +--R + +--R 9 2 +--R - 288a b +--R * +--R cosh(d x + c) +--R + +--R 6 5 8 3 +--R - 72a b - 48a b +--R * +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 12 +--R (- 4b - 5a b - 11a b + 5a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 11 +--R (- 39a b - 69a b - 126a b + 54a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (- 18b - 18a b - 194a b - 388a b - 613a b + 241a b ) +--R * +--R 10 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (- 142a b - 218a b - 691a b - 1169a b - 1642a b + 562a b ) +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 64b - 118a b - 770a b - 778a b - 1532a b - 2365a b +--R + +--R 6 5 7 4 +--R - 2712a b + 786a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 190a b - 622a b - 2152a b - 1592a b - 2104a b - 3440a b +--R + +--R 7 4 8 3 +--R - 2864a b + 704a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 28b - 8a b + 136a b - 1564a b - 3278a b - 2302a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 1888a b - 3440a b - 1872a b + 384a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 120a b - 96a b - 106a b - 2414a b - 2980a b - 2276a b +--R + +--R 7 4 8 3 9 2 10 +--R - 1072a b - 2240a b - 672a b + 96a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 12b + 3a b - 155a b - 355a b - 284a b - 2266a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 1640a b - 1420a b - 288a b - 912a b - 96a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 31a b - 5a b - 50a b - 550a b - 312a b - 1152a b +--R + +--R 7 4 8 3 10 +--R - 432a b - 576a b - 192a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R - 2b + 2a b - 14a b - 40a b - 5a b - 355a b - 144a b +--R + +--R 7 4 9 2 +--R - 288a b - 144a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 8 3 +--R (- 2a b + 2a b + 5a b - 41a b - 18a b - 78a b - 48a b ) +--R * +--R cosh(d x + c) +--R + +--R 5 6 7 4 +--R - 9a b - 6a b +--R * +--R d x + c 2 +--R tanh(-------) +--R 2 +--R + +--R 11 10 2 9 3 8 2 +--R (4b + 4a b + 11a b + 11a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 11 10 +--R (- 2a b - 2a b + 32a b + 32a b )cosh(d x + c) + 6b + 6a b +--R + +--R 2 9 3 8 4 7 5 6 +--R - 18a b - 18a b + 27a b + 27a b +--R * +--R 10 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 3 +--R (32b + 32a b + 88a b + 88a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 2 +--R (16a b + 16a b + 344a b + 344a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (48b + 48a b - 160a b - 160a b + 472a b + 472a b ) +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 48a b + 48a b - 144a b - 144a b + 216a b + 216a b +--R * +--R 9 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 4 +--R (108b + 117a b + 297a b + 303a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 3 +--R (161a b + 197a b + 1474a b + 1498a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (182b + 182a b - 474a b - 420a b + 2767a b + 2803a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (326a b + 326a b - 923a b - 887a b + 2262a b + 2286a b ) +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 24b + 24a b + 72a b + 72a b - 324a b - 315a b + 648a b +--R + +--R 7 4 +--R 654a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 5 +--R (192b + 264a b + 528a b + 576a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 4 +--R (472a b + 832a b + 3248a b + 3488a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (416b + 416a b - 544a b + 176a b + 7808a b + 8288a b ) +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (1024a b + 1024a b - 2096a b - 1376a b + 8992a b + 9472a b ) +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 144b + 144a b + 368a b + 368a b - 1200a b - 840a b +--R + +--R 6 5 7 4 +--R 4768a b + 5008a b +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 7 4 +--R 144a b + 144a b - 240a b - 240a b + 72a b + 144a b + 864a b +--R + +--R 8 3 +--R 912a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 6 +--R (168b + 420a b + 462a b + 630a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 +--R (560a b + 2072a b + 3640a b + 4648a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (588b + 624a b - 196a b + 3572a b + 11158a b + 13654a b ) +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1844a b + 1988a b - 1948a b + 3044a b + 16904a b +--R + +--R 6 5 +--R 20168a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 376b + 376a b + 946a b + 1162a b - 600a b + 3108a b +--R + +--R 6 5 7 4 +--R 12928a b + 15304a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 700a b + 700a b - 1132a b - 988a b + 1912a b + 3376a b +--R + +--R 7 4 8 3 +--R 4400a b + 5312a b +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 36b + 36a b + 180a b + 180a b - 606a b - 570a b + 1008a b +--R + +--R 7 4 8 3 9 2 +--R 1248a b + 432a b + 576a b +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 10 3 8 7 +--R (504a b + 336a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 6 +--R (- 56a b + 3472a b + 896a b + 3248a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (448b + 664a b - 672a b + 9840a b + 5264a b + 12176a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1768a b + 2848a b - 1216a b + 16064a b + 12048a b +--R + +--R 6 5 +--R 23088a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 528b + 528a b + 1248a b + 3408a b + 1840a b + 18760a b +--R + +--R 6 5 7 4 +--R 13184a b + 23504a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 1392a b + 1392a b - 1808a b + 352a b + 6360a b + 16224a b +--R + +--R 7 4 8 3 +--R 6656a b + 12272a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 144b + 144a b + 624a b + 624a b - 1664a b - 584a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 4784a b + 7952a b + 1152a b + 2784a b +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 7 4 +--R 144a b + 144a b - 240a b - 240a b + 72a b + 288a b + 864a b +--R + +--R 8 3 10 +--R 1296a b + 192a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 8 +--R (- 168b + 462a b - 462a b - 42a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 7 +--R (- 994a b + 4046a b - 2996a b + 364a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (28b + 568a b - 2660a b + 14800a b - 7658a b + 3742a b ) +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (248a b + 3488a b - 3754a b + 30446a b - 9724a b + 11636a b ) +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 456b + 510a b - 398a b + 7630a b - 832a b + 40550a b +--R + +--R 6 5 7 4 +--R - 6576a b + 17460a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 1638a b + 1854a b - 2864a b + 7648a b + 5656a b + 37264a b +--R + +--R 7 4 8 3 +--R - 2960a b + 13504a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 220b + 220a b + 1328a b + 1652a b - 2914a b + 4754a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 7360a b + 22192a b - 1584a b + 4992a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 412a b + 412a b - 322a b - 106a b - 68a b + 2884a b +--R + +--R 7 4 8 3 9 2 10 +--R 2960a b + 6848a b - 672a b + 672a b +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 24b + 24a b + 72a b + 72a b - 228a b - 174a b + 360a b +--R + +--R 7 4 8 3 9 2 10 +--R 828a b + 288a b + 720a b - 96a b +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 9 +--R (- 192b + 312a b - 528a b - 192a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 8 +--R (- 1304a b + 3232a b - 4336a b - 1312a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (- 288b + 432a b - 4064a b + 13840a b - 14848a b - 3232a b ) +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 1424a b + 3616a b - 8048a b + 32608a b - 27488a b +--R + +--R 6 5 +--R - 2624a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 368b + 584a b - 4000a b + 10832a b - 9872a b + 48520a b +--R + +--R 6 5 7 4 +--R - 30176a b + 2224a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1592a b + 2672a b - 7616a b + 16144a b - 5256a b +--R + +--R 6 5 7 4 8 3 +--R 49488a b - 20640a b + 5616a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 128b + 128a b + 2176a b + 4336a b - 8096a b + 14224a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 1568a b + 34784a b - 9216a b + 3648a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 352a b + 352a b + 784a b + 2944a b - 3472a b + 8768a b +--R + +--R 7 4 8 3 9 2 10 +--R 2624a b + 15008a b - 2688a b + 768a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 48b + 48a b + 80a b + 80a b + 48a b + 1128a b - 128a b +--R + +--R 7 4 8 3 9 2 10 +--R 3472a b + 576a b + 3072a b - 384a b +--R * +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 8 3 +--R 48a b + 48a b - 144a b - 144a b + 216a b + 432a b + 432a b +--R + +--R 10 +--R 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 10 +--R (- 108b + 144a b - 297a b - 129a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 9 +--R (- 838a b + 1682a b - 2792a b - 1112a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (- 274b + 266a b - 3114a b + 8046a b - 11057a b - 3857a b ) +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 1636a b + 2684a b - 7916a b + 20884a b - 23928a b +--R + +--R 6 5 +--R - 6648a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 360b + 684a b - 5610a b + 9078a b - 13352a b + 34420a b +--R + +--R 6 5 7 4 +--R - 31168a b - 5752a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 1392a b + 3336a b - 11804a b + 15844a b - 13272a b +--R + +--R 6 5 7 4 8 3 +--R 39504a b - 25456a b - 1984a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 2 9 3 8 4 7 5 6 6 5 +--R - 36b + 2100a b + 6876a b - 14354a b + 17002a b - 6736a b +--R + +--R 7 4 8 3 9 2 +--R 32000a b - 13104a b + 192a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 76a b + 68a b + 1468a b + 7612a b - 9432a b + 12312a b +--R + +--R 7 4 8 3 9 2 10 +--R - 1248a b + 16896a b - 4032a b + 192a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 20b + 20a b - 117a b + 99a b + 544a b + 4900a b +--R + +--R 6 5 7 4 9 2 10 +--R - 2976a b + 5880a b + 4896a b - 576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 7 4 +--R 38a b + 38a b - 140a b + 4a b + 264a b + 1872a b - 432a b +--R + +--R 8 3 10 +--R 1440a b + 576a b +--R * +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 7 4 9 2 +--R 6b + 6a b - 18a b - 18a b + 27a b + 63a b + 240a b + 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 11 +--R (- 32b + 40a b - 88a b - 40a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 10 +--R (- 280a b + 512a b - 920a b - 392a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (- 112b + 104a b - 1216a b + 2672a b - 4072a b - 1576a b ) +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (- 776a b + 1168a b - 3728a b + 7504a b - 9896a b - 3272a b ) +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 240b + 456a b - 3376a b + 4112a b - 7408a b + 13688a b +--R + +--R 6 5 7 4 +--R - 14656a b - 3856a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 792a b + 2304a b - 8288a b + 7840a b - 8984a b + 17728a b +--R + +--R 7 4 8 3 +--R - 13760a b - 2672a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 80b - 8a b + 944a b + 5312a b - 11392a b + 9848a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 6608a b + 16144a b - 8064a b - 1056a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 280a b + 80a b + 496a b + 7216a b - 9080a b + 8416a b +--R + +--R 7 4 8 3 9 2 10 +--R - 2848a b + 9680a b - 2688a b - 192a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 16b - 16a b - 280a b + 440a b - 16a b + 5864a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 4128a b + 4656a b - 576a b + 3456a b - 384a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 32a b - 32a b - 40a b + 680a b - 264a b + 2592a b +--R + +--R 7 4 8 3 10 +--R - 864a b + 1584a b + 576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R - 16a b - 16a b + 40a b + 400a b - 144a b + 528a b +--R + +--R 9 2 +--R 288a b +--R * +--R cosh(d x + c) +--R + +--R 6 5 8 3 +--R 72a b + 48a b +--R * +--R sinh(d x + c) +--R + +--R 11 10 2 9 3 8 12 +--R (- 4b + 5a b - 11a b - 5a b )cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 11 +--R (- 39a b + 69a b - 126a b - 54a b )cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (- 18b + 18a b - 194a b + 388a b - 613a b - 241a b ) +--R * +--R 10 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R (- 142a b + 218a b - 691a b + 1169a b - 1642a b - 562a b ) +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 64b + 118a b - 770a b + 778a b - 1532a b + 2365a b - 2712a b +--R + +--R 7 4 +--R - 786a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 190a b + 622a b - 2152a b + 1592a b - 2104a b + 3440a b +--R + +--R 7 4 8 3 +--R - 2864a b - 704a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 28b + 8a b + 136a b + 1564a b - 3278a b + 2302a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 1888a b + 3440a b - 1872a b - 384a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 120a b + 96a b - 106a b + 2414a b - 2980a b + 2276a b +--R + +--R 7 4 8 3 9 2 10 +--R - 1072a b + 2240a b - 672a b - 96a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R - 12b - 3a b - 155a b + 355a b - 284a b + 2266a b - 1640a b +--R + +--R 7 4 8 3 9 2 10 +--R 1420a b - 288a b + 912a b - 96a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 7 4 +--R - 31a b + 5a b - 50a b + 550a b - 312a b + 1152a b - 432a b +--R + +--R 8 3 10 +--R 576a b + 192a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R - 2b - 2a b - 14a b + 40a b - 5a b + 355a b - 144a b +--R + +--R 7 4 9 2 +--R 288a b + 144a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 8 3 +--R (- 2a b - 2a b + 5a b + 41a b - 18a b + 78a b + 48a b ) +--R * +--R cosh(d x + c) +--R + +--R 5 6 7 4 +--R 9a b + 6a b +--R / +--R 15 14 2 13 3 12 4 11 5 10 6 9 +--R 6b - 6a b - 18a b + 18a b + 18a b - 18a b - 6a b +--R + +--R 7 8 +--R 6a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 6 9 +--R 24a b - 24a b - 72a b + 72a b + 72a b - 72a b +--R + +--R 7 8 8 7 +--R - 24a b + 24a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 7 8 +--R 36a b - 36a b - 108a b + 108a b + 108a b - 108a b +--R + +--R 8 7 9 6 +--R - 36a b + 36a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 8 7 +--R 24a b - 24a b - 72a b + 72a b + 72a b - 72a b +--R + +--R 9 6 10 5 +--R - 24a b + 24a b +--R * +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 10 5 +--R 6a b - 6a b - 18a b + 18a b + 18a b - 18a b - 6a b +--R + +--R 11 4 +--R 6a b +--R * +--R 8 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 48b - 48a b - 144a b + 144a b + 144a b - 144a b +--R + +--R 6 9 7 8 +--R - 48a b + 48a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 240a b - 240a b - 720a b + 720a b + 720a b +--R + +--R 6 9 7 8 8 7 +--R - 720a b - 240a b + 240a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 +--R 480a b - 480a b - 1440a b + 1440a b + 1440a b +--R + +--R 7 8 8 7 9 6 +--R - 1440a b - 480a b + 480a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 +--R 480a b - 480a b - 1440a b + 1440a b + 1440a b +--R + +--R 8 7 9 6 10 5 +--R - 1440a b - 480a b + 480a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 +--R 240a b - 240a b - 720a b + 720a b + 720a b - 720a b +--R + +--R 10 5 11 4 +--R - 240a b + 240a b +--R * +--R cosh(d x + c) +--R + +--R 5 10 6 9 7 8 8 7 9 6 10 5 +--R 48a b - 48a b - 144a b + 144a b + 144a b - 144a b +--R + +--R 11 4 12 3 +--R - 48a b + 48a b +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 168b - 168a b - 504a b + 504a b + 504a b - 504a b +--R + +--R 6 9 7 8 +--R - 168a b + 168a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 1008a b - 1008a b - 3024a b + 3024a b + 3024a b +--R + +--R 6 9 7 8 8 7 +--R - 3024a b - 1008a b + 1008a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 24b - 24a b + 2424a b - 2424a b - 7416a b +--R + +--R 5 10 6 9 7 8 8 7 9 6 +--R 7416a b + 7464a b - 7464a b - 2496a b + 2496a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 96a b - 96a b + 2976a b - 2976a b - 9504a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R 9504a b + 9696a b - 9696a b - 3264a b + 3264a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 +--R 144a b - 144a b + 1944a b - 1944a b - 6696a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 +--R 6696a b + 6984a b - 6984a b - 2376a b + 2376a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 8 7 +--R 96a b - 96a b + 624a b - 624a b - 2448a b + 2448a b +--R + +--R 9 6 10 5 11 4 12 3 +--R 2640a b - 2640a b - 912a b + 912a b +--R * +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 +--R 24a b - 24a b + 72a b - 72a b - 360a b + 360a b +--R + +--R 10 5 11 4 12 3 13 2 +--R 408a b - 408a b - 144a b + 144a b +--R * +--R 6 +--R sinh(d x + c) +--R + 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10 6 9 7 8 +--R 1440a b - 1440a b + 1296a b - 1296a b - 12528a b +--R + +--R 8 7 9 6 10 5 11 4 12 3 +--R 12528a b + 15408a b - 15408a b - 5616a b + 5616a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 +--R 720a b - 720a b - 528a b + 528a b - 2736a b + 2736a b +--R + +--R 10 5 11 4 12 3 13 2 +--R 4176a b - 4176a b - 1632a b + 1632a b +--R * +--R cosh(d x + c) +--R + +--R 5 10 6 9 7 8 8 7 9 6 10 5 +--R 144a b - 144a b - 240a b + 240a b - 144a b + 144a b +--R + +--R 11 4 12 3 13 2 14 +--R 432a b - 432a b - 192a b + 192a b +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 420b - 420a b - 1260a b + 1260a b + 1260a b +--R + +--R 5 10 6 9 7 8 +--R - 1260a b - 420a b + 420a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 3360a b - 3360a b - 10080a b + 10080a b + 10080a b +--R + +--R 6 9 7 8 8 7 +--R - 10080a b - 3360a b + 3360a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 360b - 360a b + 10320a b - 10320a b - 33120a b +--R + +--R 5 10 6 9 7 8 8 7 9 6 +--R 33120a b + 33840a b - 33840a b - 11400a b + 11400a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 2160a b - 2160a b + 14880a b - 14880a b - 57600a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R 57600a b + 61920a b - 61920a b - 21360a b + 21360a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 36b - 36a b + 5220a b - 5220a b + 8160a b +--R + +--R 5 10 6 9 7 8 8 7 9 6 +--R - 8160a b - 56160a b + 56160a b + 66780a b - 66780a b +--R + +--R 10 5 11 4 +--R - 24036a b + 24036a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 144a b - 144a b + 6480a b - 6480a b - 3840a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R 3840a b - 28800a b + 28800a b + 42480a b - 42480a b +--R + +--R 11 4 12 3 +--R - 16464a b + 16464a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 +--R 216a b - 216a b + 4320a b - 4320a b - 7680a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 +--R 7680a b - 5040a b + 5040a b + 14760a b - 14760a b +--R + +--R 12 3 13 2 +--R - 6576a b + 6576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 +--R 144a b - 144a b + 1440a b - 1440a b - 3840a b +--R + +--R 8 7 9 6 10 5 11 4 12 3 +--R 3840a b + 1440a b - 1440a b + 2160a b - 2160a b +--R + +--R 13 2 14 +--R - 1344a b + 1344a b +--R * +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 +--R 36a b - 36a b + 180a b - 180a b - 660a b + 660a b +--R + +--R 10 5 11 4 14 15 +--R 540a b - 540a b - 96a b + 96a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 336b - 336a b - 1008a b + 1008a b + 1008a b +--R + +--R 5 10 6 9 7 8 +--R - 1008a b - 336a b + 336a b +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 3024a b - 3024a b - 9072a b + 9072a b + 9072a b +--R + +--R 6 9 7 8 8 7 +--R - 9072a b - 3024a b + 3024a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 480b - 480a b + 10176a b - 10176a b - 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+--R 216a b + 216a b + 4320a b + 4320a b - 7680a b - 7680a b +--R + +--R 8 7 9 6 10 5 11 4 12 3 +--R - 5040a b - 5040a b + 14760a b + 14760a b - 6576a b +--R + +--R 13 2 +--R - 6576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 8 7 +--R 144a b + 144a b + 1440a b + 1440a b - 3840a b - 3840a b +--R + +--R 9 6 10 5 11 4 12 3 13 2 14 +--R 1440a b + 1440a b + 2160a b + 2160a b - 1344a b - 1344a b +--R * +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 10 5 +--R 36a b + 36a b + 180a b + 180a b - 660a b - 660a b + 540a b +--R + +--R 11 4 14 15 +--R 540a b - 96a b - 96a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 336b + 336a b - 1008a b - 1008a b + 1008a b + 1008a b +--R + +--R 6 9 7 8 +--R - 336a b - 336a b +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 3024a b + 3024a b - 9072a b - 9072a b + 9072a b +--R + +--R 6 9 7 8 8 7 +--R 9072a b - 3024a b - 3024a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 480b + 480a b + 10176a b + 10176a b - 33408a b +--R + +--R 5 10 6 9 7 8 8 7 9 6 +--R - 33408a b + 34368a b + 34368a b - 11616a b - 11616a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 3360a b + 3360a b + 14784a b + 14784a b - 64512a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 64512a b + 71232a b + 71232a b - 24864a b - 24864a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 144b + 144a b + 9360a b + 9360a b + 3456a b + 3456a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 67968a b - 67968a b + 87408a b + 87408a b - 32400a b +--R + +--R 11 4 +--R - 32400a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 720a b + 720a b + 13200a b + 13200a b - 17664a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 17664a b - 33408a b - 33408a b + 63408a b + 63408a b +--R + +--R 11 4 12 3 +--R - 26256a b - 26256a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 +--R 1440a b + 1440a b + 9600a b + 9600a b - 24576a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 +--R - 24576a b + 1728a b + 1728a b + 24672a b + 24672a b +--R + +--R 12 3 13 2 +--R - 12864a b - 12864a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 +--R 1440a b + 1440a b + 2880a b + 2880a b - 13824a b +--R + +--R 8 7 9 6 10 5 11 4 12 3 +--R - 13824a b + 9792a b + 9792a b + 3168a b + 3168a b +--R + +--R 13 2 14 +--R - 3456a b - 3456a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 +--R 720a b + 720a b - 240a b - 240a b - 3216a b - 3216a b +--R + +--R 10 5 11 4 12 3 13 2 14 15 +--R 3888a b + 3888a b - 768a b - 768a b - 384a b - 384a +--R * +--R cosh(d x + c) +--R + +--R 5 10 6 9 7 8 8 7 9 6 10 5 +--R 144a b + 144a b - 240a b - 240a b - 144a b - 144a b +--R + +--R 11 4 12 3 13 2 14 +--R 432a b + 432a b - 192a b - 192a b +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 168b + 168a b - 504a b - 504a b + 504a b + 504a b +--R + +--R 6 9 7 8 +--R - 168a b - 168a b +--R * +--R 10 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 1680a b + 1680a b - 5040a b - 5040a b + 5040a b +--R + +--R 6 9 7 8 8 7 +--R 5040a b - 1680a b - 1680a b +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 +--R 360b + 360a b + 6120a b + 6120a b - 20520a b +--R + +--R 5 10 6 9 7 8 8 7 9 6 +--R - 20520a b + 21240a b + 21240a b - 7200a b - 7200a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 2880a b + 2880a b + 8640a b + 8640a b - 43200a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 43200a b + 48960a b + 48960a b - 17280a b - 17280a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 216b + 216a b + 9000a b + 9000a b - 2880a b - 2880a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 47520a b - 47520a b + 66600a b + 66600a b - 25416a b +--R + +--R 11 4 +--R - 25416a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 1296a b + 1296a b + 13680a b + 13680a b - 25344a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 25344a b - 19008a b - 19008a b + 52848a b + 52848a b +--R + +--R 11 4 12 3 +--R - 23472a b - 23472a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 24b + 24a b + 3096a b + 3096a b + 9360a b + 9360a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 33600a b - 33600a b + 13320a b + 13320a b + 21096a b +--R + +--R 11 4 12 3 13 2 +--R 21096a b - 13296a b - 13296a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 7 8 8 7 +--R 96a b + 96a b + 3744a b + 3744a b - 19200a b - 19200a b +--R + +--R 9 6 10 5 11 4 12 3 13 2 14 +--R 18720a b + 18720a b + 864a b + 864a b - 4224a b - 4224a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 7 8 +--R 144a b + 144a b + 2376a b + 2376a b - 3960a b - 3960a b +--R + +--R 8 7 9 6 10 5 11 4 12 3 +--R - 3240a b - 3240a b + 7560a b + 7560a b - 2304a b +--R + +--R 13 2 14 15 +--R - 2304a b - 576a b - 576a +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 8 7 +--R 96a b + 96a b + 720a b + 720a b - 2160a b - 2160a b +--R + +--R 9 6 10 5 11 4 12 3 13 2 14 +--R 1200a b + 1200a b + 720a b + 720a b - 576a b - 576a b +--R * +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 10 5 +--R 24a b + 24a b + 72a b + 72a b - 360a b - 360a b + 408a b +--R + +--R 11 4 12 3 13 2 +--R 408a b - 144a b - 144a b +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 48b + 48a b - 144a b - 144a b + 144a b + 144a b +--R + +--R 6 9 7 8 +--R - 48a b - 48a b +--R * +--R 11 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 528a b + 528a b - 1584a b - 1584a b + 1584a b +--R + +--R 6 9 7 8 8 7 +--R 1584a b - 528a b - 528a b +--R * +--R 10 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 144b + 144a b + 2064a b + 2064a b - 7056a b - 7056a b +--R + +--R 6 9 7 8 8 7 9 6 +--R 7344a b + 7344a b - 2496a b - 2496a b +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 1296a b + 1296a b + 2736a b + 2736a b - 15984a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 15984a b + 18576a b + 18576a b - 6624a b - 6624a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 144b + 144a b + 4464a b + 4464a b - 3456a b - 3456a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 17856a b - 17856a b + 27504a b + 27504a b - 10800a b +--R + +--R 11 4 +--R - 10800a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 1008a b + 1008a b + 7056a b + 7056a b - 16128a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 16128a b - 4032a b - 4032a b + 23184a b + 23184a b +--R + +--R 11 4 12 3 +--R - 11088a b - 11088a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 48b + 48a b + 2736a b + 2736a b + 3744a b + 3744a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 21120a b - 21120a b + 12816a b + 12816a b + 8784a b +--R + +--R 11 4 12 3 13 2 +--R 8784a b - 7008a b - 7008a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 +--R 240a b + 240a b + 3600a b + 3600a b - 3456a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 +--R - 3456a b - 11136a b - 11136a b + 14544a b + 14544a b +--R + +--R 11 4 12 3 13 2 14 +--R - 1296a b - 1296a b - 2496a b - 2496a b +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 7 8 +--R 480a b + 480a b + 2160a b + 2160a b - 5904a b - 5904a b +--R + +--R 8 7 9 6 10 5 11 4 12 3 13 2 +--R 336a b + 336a b + 5616a b + 5616a b - 2304a b - 2304a b +--R + +--R 14 15 +--R - 384a b - 384a +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 8 7 +--R 480a b + 480a b + 144a b + 144a b - 2736a b - 2736a b +--R + +--R 9 6 10 5 11 4 12 3 13 2 14 +--R 2544a b + 2544a b + 144a b + 144a b - 576a b - 576a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 +--R 240a b + 240a b - 432a b - 432a b - 144a b - 144a b +--R + +--R 10 5 11 4 12 3 13 2 +--R 624a b + 624a b - 288a b - 288a b +--R * +--R cosh(d x + c) +--R + +--R 5 10 6 9 7 8 8 7 9 6 10 5 11 4 +--R 48a b + 48a b - 144a b - 144a b + 144a b + 144a b - 48a b +--R + +--R 12 3 +--R - 48a b +--R * +--R sinh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 6 9 7 8 +--R (6b + 6a b - 18a b - 18a b + 18a b + 18a b - 6a b - 6a b ) +--R * +--R 12 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 6 9 7 8 +--R 72a b + 72a b - 216a b - 216a b + 216a b + 216a b - 72a b +--R + +--R 8 7 +--R - 72a b +--R * +--R 11 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 24b + 24a b + 300a b + 300a b - 1044a b - 1044a b +--R + +--R 6 9 7 8 8 7 9 6 +--R 1092a b + 1092a b - 372a b - 372a b +--R * +--R 10 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 6 9 +--R 240a b + 240a b + 360a b + 360a b - 2520a b - 2520a b +--R + +--R 7 8 8 7 9 6 10 5 +--R 3000a b + 3000a b - 1080a b - 1080a b +--R * +--R 9 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 36b + 36a b + 900a b + 900a b - 990a b - 990a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 11 4 +--R - 2790a b - 2790a b + 4770a b + 4770a b - 1926a b - 1926a b +--R * +--R 8 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 6 9 +--R 288a b + 288a b + 1440a b + 1440a b - 3888a b - 3888a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 12 3 +--R 144a b + 144a b + 4176a b + 4176a b - 2160a b - 2160a b +--R * +--R 7 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 +--R 24b + 24a b + 864a b + 864a b + 360a b + 360a b +--R + +--R 6 9 7 8 8 7 9 6 10 5 11 4 +--R - 5016a b - 5016a b + 3888a b + 3888a b + 1368a b + 1368a b +--R + +--R 12 3 13 2 +--R - 1488a b - 1488a b +--R * +--R 6 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 6 9 +--R 144a b + 144a b + 1152a b + 1152a b - 1872a b - 1872a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 12 3 +--R - 2160a b - 2160a b + 4032a b + 4032a b - 720a b - 720a b +--R + +--R 13 2 14 +--R - 576a b - 576a b +--R * +--R 5 +--R cosh(d x + c) +--R + +--R 15 14 2 13 3 12 4 11 5 10 6 9 +--R 6b + 6a b + 318a b + 318a b + 486a b + 486a b - 2370a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 12 3 +--R - 2370a b + 1020a b + 1020a b + 1404a b + 1404a b - 768a b +--R + +--R 13 2 14 15 +--R - 768a b - 96a b - 96a +--R * +--R 4 +--R cosh(d x + c) +--R + +--R 14 2 13 3 12 4 11 5 10 6 9 +--R 24a b + 24a b + 312a b + 312a b - 360a b - 360a b +--R + +--R 7 8 8 7 9 6 10 5 11 4 12 3 +--R - 840a b - 840a b + 1200a b + 1200a b - 144a b - 144a b +--R + +--R 13 2 14 +--R - 192a b - 192a b +--R * +--R 3 +--R cosh(d x + c) +--R + +--R 2 13 3 12 4 11 5 10 6 9 7 8 8 7 +--R 36a b + 36a b + 108a b + 108a b - 396a b - 396a b + 180a b +--R + +--R 9 6 10 5 11 4 12 3 13 2 +--R 180a b + 216a b + 216a b - 144a b - 144a b +--R * +--R 2 +--R cosh(d x + c) +--R + +--R 3 12 4 11 5 10 6 9 7 8 8 7 9 6 +--R 24a b + 24a b - 24a b - 24a b - 72a b - 72a b + 120a b +--R + +--R 10 5 11 4 12 3 +--R 120a b - 48a b - 48a b +--R * +--R cosh(d x + c) +--R + +--R 4 11 5 10 6 9 7 8 8 7 9 6 10 5 11 4 +--R 6a b + 6a b - 18a b - 18a b + 18a b + 18a b - 6a b - 6a b +--R Type: Expression Integer +--E 307 + +--S 308 of 510 +t0161:= (a+b*cosh(c+d*x))^(1/2) +--R +--R +--R +-------------------+ +--R (185) \|b cosh(d x + c) + a +--R Type: Expression Integer +--E 308 + +--S 309 of 510 +r0161:= -2*%i*(a+b*cosh(c+d*x))^(1/2)*_ + EllipticE(1/2*%i*(c+d*x),2*b/(a+b))/d/((a+b*cosh(c+d*x))/(a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 309 + +--S 310 of 510 +a0161:= integrate(t0161,x) +--R +--R +--R x +--R ++ +--------------------+ +--R (186) | \|b cosh(%I d + c) + a d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 310 + +--S 311 of 510 +--m0161:= a0161-r0161 +--E 311 + +--S 312 of 510 +--d0161:= D(m0161,x) +--E 312 + +--S 313 of 510 +t0162:= 1/(a+b*cosh(x))^(1/2) +--R +--R +--R 1 +--R (187) ---------------- +--R +-------------+ +--R \|b cosh(x) + a +--R Type: Expression Integer +--E 313 + +--S 314 of 510 +r0162:= -2*%i*((a+b*cosh(x))/(a+b))^(1/2)*_ + EllipticF(1/2*%i*x,2*b/(a+b))/(a+b*cosh(x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 314 + +--S 315 of 510 +a0162:= integrate(t0162,x) +--R +--R +--R x +--R ++ 1 +--R (188) | ----------------- d%I +--R ++ +--------------+ +--R \|b cosh(%I) + a +--R Type: Union(Expression Integer,...) +--E 315 + +--S 316 of 510 +--m0162:= a0162-r0162 +--E 316 + +--S 317 of 510 +--d0162:= D(m0162,x) +--E 317 + +--S 318 of 510 +t0163:= 1/(a+b*cosh(x))^(3/2) +--R +--R +--R 1 +--R (189) ------------------------------- +--R +-------------+ +--R (b cosh(x) + a)\|b cosh(x) + a +--R Type: Expression Integer +--E 318 + +--S 319 of 510 +r0163:= -2*%i*(a+b*cosh(x))^(1/2)*_ + EllipticE(1/2*%i*x,2*b/(a+b))/(a^2-b^2)/((a+b*cosh(x))/(a+b))^(1/2)-_ + 2*b*sinh(x)/(a^2-b^2)/(a+b*cosh(x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 319 + +--S 320 of 510 +a0163:= integrate(t0163,x) +--R +--R +--R x +--R ++ 1 +--R (190) | --------------------------------- d%I +--R ++ +--------------+ +--R (b cosh(%I) + a)\|b cosh(%I) + a +--R Type: Union(Expression Integer,...) +--E 320 + +--S 321 of 510 +--m0163:= a0163-r0163 +--E 321 + +--S 322 of 510 +--d0163:= D(m0163,x) +--E 322 + +--S 323 of 510 +t0164:= 1/(a+b*cosh(x))^(5/2) +--R +--R +--R 1 +--R (191) ------------------------------------------------ +--R 2 2 2 +-------------+ +--R (b cosh(x) + 2a b cosh(x) + a )\|b cosh(x) + a +--R Type: Expression Integer +--E 323 + +--S 324 of 510 +r0164:= -8/3*%i*a*(a+b*cosh(x))^(1/2)*_ + EllipticE(1/2*%i*x,2*b/(a+b))/(a^2-b^2)^2/_ + ((a+b*cosh(x))/(a+b))^(1/2)+2/3*%i*((a+b*cosh(x))/(a+b))^(1/2)*_ + EllipticF(1/2*%i*x,2*b/(a+b))/(a^2-b^2)/(a+b*cosh(x))^(1/2)-_ + 2/3*b*sinh(x)/(a^2-b^2)/(a+b*cosh(x))^(3/2)-_ + 8/3*a*b*sinh(x)/(a^2-b^2)^2/(a+b*cosh(x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 324 + +--S 325 of 510 +a0164:= integrate(t0164,x) +--R +--R +--R x +--R ++ 1 +--R (192) | --------------------------------------------------- d%I +--R ++ 2 2 2 +--------------+ +--R (b cosh(%I) + 2a b cosh(%I) + a )\|b cosh(%I) + a +--R Type: Union(Expression Integer,...) +--E 325 + +--S 326 of 510 +--m0164:= a0164-r0164 +--E 326 + +--S 327 of 510 +--d0164:= D(m0164,x) +--E 327 + +--S 328 of 510 +t0165:= (a+a*cosh(c+d*x))^(1/2) +--R +--R +--R +-------------------+ +--R (193) \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 328 + +--S 329 of 510 +r0165:= 2*a*sinh(c+d*x)/d/(a+a*cosh(c+d*x))^(1/2) +--R +--R +--R 2a sinh(d x + c) +--R (194) ----------------------- +--R +-------------------+ +--R d\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 329 + +--S 330 of 510 +a0165:= integrate(t0165,x) +--R +--R +--R (195) +--R a sinh(d x + c) + a cosh(d x + c) - a +--R --------------------------------------------------------------------- +--R +-------------------------------+ +--R | a +--R (d sinh(d x + c) + d cosh(d x + c)) |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Integer,...) +--E 330 + +--S 331 of 510 +m0165:= a0165-r0165 +--R +--R +--R (196) +--R +-------------------+ +--R (a sinh(d x + c) + a cosh(d x + c) - a)\|a cosh(d x + c) + a +--R + +--R 2 +--R (- 2a sinh(d x + c) - 2a cosh(d x + c)sinh(d x + c)) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R +-------------------------------+ +--R | a +--R (d sinh(d x + c) + d cosh(d x + c)) |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 331 + +--S 332 of 510 +d0165:= D(m0165,x) +--R +--R +--R (197) +--R 2 +--R (a cosh(d x + c) + a)sinh(d x + c) + a cosh(d x + c) +--R + +--R 2a cosh(d x + c) + a +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R 3 2 +--R 2a sinh(d x + c) + 2a cosh(d x + c)sinh(d x + c) +--R + +--R 2 +--R (- 4a cosh(d x + c) - 4a cosh(d x + c))sinh(d x + c) +--R + +--R 3 2 +--R - 4a cosh(d x + c) - 4a cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 +--R ((2cosh(d x + c) + 2)sinh(d x + c) + 2cosh(d x + c) + 2cosh(d x + c)) +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 332 + +--S 333 of 510 +t0166:= (a+a*cosh(c+d*x))^(3/2) +--R +--R +--R +-------------------+ +--R (198) (a cosh(d x + c) + a)\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 333 + +--S 334 of 510 +r0166:= 2/3*a^2*sinh(c+d*x)*(5+cosh(c+d*x))/(a*(1+cosh(c+d*x)))^(1/2)/d +--R +--R +--R 2 2 +--R (2a cosh(d x + c) + 10a )sinh(d x + c) +--R (199) -------------------------------------- +--R +-------------------+ +--R 3d\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 334 + +--S 335 of 510 +a0166:= integrate(t0166,x) +--R +--R +--R (200) +--R 2 3 2 2 2 +--R a sinh(d x + c) + (3a cosh(d x + c) + 9a )sinh(d x + c) +--R + +--R 2 2 2 2 +--R (3a cosh(d x + c) + 18a cosh(d x + c) - 9a )sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R a cosh(d x + c) + 9a cosh(d x + c) - 9a cosh(d x + c) - a +--R / +--R 2 2 +--R (6d sinh(d x + c) + 12d cosh(d x + c)sinh(d x + c) + 6d cosh(d x + c) ) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Integer,...) +--E 335 + +--S 336 of 510 +m0166:= a0166-r0166 +--R +--R +--R (201) +--R 2 3 2 2 2 +--R a sinh(d x + c) + (3a cosh(d x + c) + 9a )sinh(d x + c) +--R + +--R 2 2 2 2 +--R (3a cosh(d x + c) + 18a cosh(d x + c) - 9a )sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R a cosh(d x + c) + 9a cosh(d x + c) - 9a cosh(d x + c) - a +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R 2 2 3 +--R (- 4a cosh(d x + c) - 20a )sinh(d x + c) +--R + +--R 2 2 2 2 +--R (- 8a cosh(d x + c) - 40a cosh(d x + c))sinh(d x + c) +--R + +--R 2 3 2 2 +--R (- 4a cosh(d x + c) - 20a cosh(d x + c) )sinh(d x + c) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 2 +--R (6d sinh(d x + c) + 12d cosh(d x + c)sinh(d x + c) + 6d cosh(d x + c) ) +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 336 + +--S 337 of 510 +d0166:= D(m0166,x) +--R +--R +--R (202) +--R 2 2 3 +--R (3a cosh(d x + c) + 3a )sinh(d x + c) +--R + +--R 2 2 2 2 2 +--R (9a cosh(d x + c) + 18a cosh(d x + c) + 9a )sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R (9a cosh(d x + c) + 27a cosh(d x + c) + 27a cosh(d x + c) + 9a ) +--R * +--R sinh(d x + c) +--R + +--R 2 4 2 3 2 2 +--R 3a cosh(d x + c) + 12a cosh(d x + c) + 18a cosh(d x + c) +--R + +--R 2 2 +--R 12a cosh(d x + c) + 3a +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R 2 2 4 +--R (- 4a cosh(d x + c) + 12a )sinh(d x + c) +--R + +--R 2 2 2 3 +--R (- 8a cosh(d x + c) + 24a cosh(d x + c))sinh(d x + c) +--R + +--R 2 3 2 2 2 +--R (- 12a cosh(d x + c) - 36a cosh(d x + c) - 40a cosh(d x + c)) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 4 2 3 2 2 +--R (- 16a cosh(d x + c) - 96a cosh(d x + c) - 80a cosh(d x + c) ) +--R * +--R sinh(d x + c) +--R + +--R 2 5 2 4 2 3 +--R - 8a cosh(d x + c) - 48a cosh(d x + c) - 40a cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 +--R (12cosh(d x + c) + 12)sinh(d x + c) +--R + +--R 2 3 +--R (24cosh(d x + c) + 24cosh(d x + c))sinh(d x + c) + 12cosh(d x + c) +--R + +--R 2 +--R 12cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 337 + +--S 338 of 510 +t0167:= (a+a*cosh(c+d*x))^(5/2) +--R +--R +--R 2 2 2 2 +-------------------+ +--R (203) (a cosh(d x + c) + 2a cosh(d x + c) + a )\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 338 + +--S 339 of 510 +r0167:= 2/15*a^3*sinh(c+d*x)*(43+14*cosh(c+d*x)+3*cosh(c+d*x)^2)/_ + (a*(1+cosh(c+d*x)))^(1/2)/d +--R +--R +--R 3 2 3 3 +--R (6a cosh(d x + c) + 28a cosh(d x + c) + 86a )sinh(d x + c) +--R (204) ----------------------------------------------------------- +--R +-------------------+ +--R 15d\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 339 + +--S 340 of 510 +a0167:= integrate(t0167,x) +--R +--R +--R (205) +--R 3 5 3 3 4 +--R 3a sinh(d x + c) + (15a cosh(d x + c) + 25a )sinh(d x + c) +--R + +--R 3 2 3 3 3 +--R (30a cosh(d x + c) + 100a cosh(d x + c) + 150a )sinh(d x + c) +--R + +--R 3 3 3 2 3 3 +--R (30a cosh(d x + c) + 150a cosh(d x + c) + 450a cosh(d x + c) - 150a ) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R 15a cosh(d x + c) + 100a cosh(d x + c) + 450a cosh(d x + c) +--R + +--R 3 3 +--R - 300a cosh(d x + c) - 25a +--R * +--R sinh(d x + c) +--R + +--R 3 5 3 4 3 3 +--R 3a cosh(d x + c) + 25a cosh(d x + c) + 150a cosh(d x + c) +--R + +--R 3 2 3 3 +--R - 150a cosh(d x + c) - 25a cosh(d x + c) - 3a +--R / +--R 3 2 +--R 60d sinh(d x + c) + 180d cosh(d x + c)sinh(d x + c) +--R + +--R 2 3 +--R 180d cosh(d x + c) sinh(d x + c) + 60d cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Union(Expression Integer,...) +--E 340 + +--S 341 of 510 +m0167:= a0167-r0167 +--R +--R +--R (206) +--R 3 5 3 3 4 +--R 3a sinh(d x + c) + (15a cosh(d x + c) + 25a )sinh(d x + c) +--R + +--R 3 2 3 3 3 +--R (30a cosh(d x + c) + 100a cosh(d x + c) + 150a )sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 30a cosh(d x + c) + 150a cosh(d x + c) + 450a cosh(d x + c) +--R + +--R 3 +--R - 150a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R 15a cosh(d x + c) + 100a cosh(d x + c) + 450a cosh(d x + c) +--R + +--R 3 3 +--R - 300a cosh(d x + c) - 25a +--R * +--R sinh(d x + c) +--R + +--R 3 5 3 4 3 3 +--R 3a cosh(d x + c) + 25a cosh(d x + c) + 150a cosh(d x + c) +--R + +--R 3 2 3 3 +--R - 150a cosh(d x + c) - 25a cosh(d x + c) - 3a +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R 3 2 3 3 4 +--R (- 24a cosh(d x + c) - 112a cosh(d x + c) - 344a )sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R (- 72a cosh(d x + c) - 336a cosh(d x + c) - 1032a cosh(d x + c)) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R (- 72a cosh(d x + c) - 336a cosh(d x + c) - 1032a cosh(d x + c) ) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 5 3 4 3 3 +--R (- 24a cosh(d x + c) - 112a cosh(d x + c) - 344a cosh(d x + c) ) +--R * +--R sinh(d x + c) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 3 2 +--R 60d sinh(d x + c) + 180d cosh(d x + c)sinh(d x + c) +--R + +--R 2 3 +--R 180d cosh(d x + c) sinh(d x + c) + 60d cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 341 + +--S 342 of 510 +d0167:= D(m0167,x) +--R +--R +--R (207) +--R 3 3 5 +--R (15a cosh(d x + c) + 15a )sinh(d x + c) +--R + +--R 3 2 3 3 4 +--R (75a cosh(d x + c) + 150a cosh(d x + c) + 75a )sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 150a cosh(d x + c) + 450a cosh(d x + c) + 450a cosh(d x + c) +--R + +--R 3 +--R 150a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R 150a cosh(d x + c) + 600a cosh(d x + c) + 900a cosh(d x + c) +--R + +--R 3 3 +--R 600a cosh(d x + c) + 150a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 5 3 4 3 3 +--R 75a cosh(d x + c) + 375a cosh(d x + c) + 750a cosh(d x + c) +--R + +--R 3 2 3 3 +--R 750a cosh(d x + c) + 375a cosh(d x + c) + 75a +--R * +--R sinh(d x + c) +--R + +--R 3 6 3 5 3 4 +--R 15a cosh(d x + c) + 90a cosh(d x + c) + 225a cosh(d x + c) +--R + +--R 3 3 3 2 3 3 +--R 300a cosh(d x + c) + 225a cosh(d x + c) + 90a cosh(d x + c) + 15a +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R 3 2 3 3 5 +--R (- 72a cosh(d x + c) - 208a cosh(d x + c) + 120a )sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R (- 216a cosh(d x + c) - 624a cosh(d x + c) + 360a cosh(d x + c)) +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R - 264a cosh(d x + c) - 896a cosh(d x + c) - 552a cosh(d x + c) +--R + +--R 3 +--R - 688a cosh(d x + c) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 5 3 4 +--R - 216a cosh(d x + c) - 1024a cosh(d x + c) +--R + +--R 3 3 3 2 +--R - 2616a cosh(d x + c) - 2064a cosh(d x + c) +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 6 3 5 +--R - 144a cosh(d x + c) - 816a cosh(d x + c) +--R + +--R 3 4 3 3 +--R - 2736a cosh(d x + c) - 2064a cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 7 3 6 3 5 +--R - 48a cosh(d x + c) - 272a cosh(d x + c) - 912a cosh(d x + c) +--R + +--R 3 4 +--R - 688a cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 3 +--R (120cosh(d x + c) + 120)sinh(d x + c) +--R + +--R 2 2 +--R (360cosh(d x + c) + 360cosh(d x + c))sinh(d x + c) +--R + +--R 3 2 +--R (360cosh(d x + c) + 360cosh(d x + c) )sinh(d x + c) +--R + +--R 4 3 +--R 120cosh(d x + c) + 120cosh(d x + c) +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 342 + +--S 343 of 510 +t0168:= 1/(a+a*cosh(c+d*x))^(1/2) +--R +--R +--R 1 +--R (208) ---------------------- +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 343 + +--S 344 of 510 +r0168:= 2*atan(sinh(1/2*c+1/2*d*x))*cosh(1/2*c+1/2*d*x)/d/_ + (a+a*cosh(c+d*x))^(1/2) +--R +--R +--R d x + c d x + c +--R 2cosh(-------)atan(sinh(-------)) +--R 2 2 +--R (209) --------------------------------- +--R +-------------------+ +--R d\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 344 + +--S 345 of 510 +a0168:= integrate(t0168,x) +--R +--R +--R (210) +--R [ +--R +---+ +--R | 2 +--R |- - +--R \| a +--R * +--R log +--R +---+ +--R | 2 +--R (- 2sinh(d x + c) - 2cosh(d x + c)) |- - +--R \| a +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R - sinh(d x + c) - cosh(d x + c) + 1 +--R / +--R sinh(d x + c) + cosh(d x + c) + 1 +--R / +--R d +--R , +--R +-------------------------------+ +--R | a +--R +-+ 2 |------------------------------- +--R |2 \|2sinh(d x + c) + 2cosh(d x + c) +--R 2 |- atan(-----------------------------------) +--R \|a +-+ +--R |2 +--R a |- +--R \|a +--R - ----------------------------------------------] +--R d +--R Type: Union(List Expression Integer,...) +--E 345 + +--S 346 of 510 +m0168a:= a0168.1-r0168 +--R +--R +--R (211) +--R +---+ +--R | 2 +-------------------+ +--R |- - \|a cosh(d x + c) + a +--R \| a +--R * +--R log +--R +---+ +--R | 2 +--R (- 2sinh(d x + c) - 2cosh(d x + c)) |- - +--R \| a +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R - sinh(d x + c) - cosh(d x + c) + 1 +--R / +--R sinh(d x + c) + cosh(d x + c) + 1 +--R + +--R d x + c d x + c +--R - 2cosh(-------)atan(sinh(-------)) +--R 2 2 +--R / +--R +-------------------+ +--R d\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 346 + +--S 347 of 510 +d0168a:= D(m0168a,x) +--R +--R +--R (212) +--R d x + c 2 +--R ((2cosh(d x + c) + 2)sinh(-------) + 2cosh(d x + c) + 2) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (2cosh(d x + c) + 2cosh(d x + c))sinh(-------) +--R 2 +--R + +--R 2 +--R 2cosh(d x + c) + 2cosh(d x + c) +--R * +--R +---+ +-------------------------------+ +--R | 2 | a +--R |- - |------------------------------- +--R \| a \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c 2 +--R ((cosh(d x + c) + 1)sinh(-------) + cosh(d x + c) + 1)sinh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 +--R (cosh(d x + c) - 1)sinh(-------) + cosh(d x + c) - 1 +--R 2 +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R d x + c d x + c 2 d x + c 3 +--R (cosh(-------)sinh(-------) + cosh(-------))sinh(d x + c) +--R 2 2 2 +--R + +--R d x + c 3 +--R (- cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R d x + c d x + c 2 +--R 2cosh(-------)cosh(d x + c)sinh(-------) +--R 2 2 +--R + +--R d x + c +--R (- cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R d x + c +--R 2cosh(-------)cosh(d x + c) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 d x + c 3 +--R (- 2cosh(d x + c) - 2cosh(d x + c))sinh(-------) +--R 2 +--R + +--R d x + c 2 d x + c d x + c 2 +--R (cosh(-------)cosh(d x + c) - cosh(-------))sinh(-------) +--R 2 2 2 +--R + +--R 2 d x + c +--R (- 2cosh(d x + c) - 2cosh(d x + c))sinh(-------) +--R 2 +--R + +--R d x + c 2 d x + c +--R cosh(-------)cosh(d x + c) - cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R 3 2 +--R (- cosh(d x + c) - cosh(d x + c) + cosh(d x + c) + 1) +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R 3 2 +--R (- cosh(d x + c) - cosh(d x + c) + cosh(d x + c) + 1) +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R * +--R d x + c +--R atan(sinh(-------)) +--R 2 +--R + +--R d x + c 2 d x + c 2 2 +--R (- cosh(-------) cosh(d x + c) - cosh(-------) )sinh(d x + c) +--R 2 2 +--R + +--R d x + c 2 2 d x + c 2 +--R (- 2cosh(-------) cosh(d x + c) - 2cosh(-------) cosh(d x + c)) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 2 3 d x + c 2 2 +--R - cosh(-------) cosh(d x + c) - cosh(-------) cosh(d x + c) +--R 2 2 +--R + +--R d x + c 2 d x + c 2 +--R cosh(-------) cosh(d x + c) + cosh(-------) +--R 2 2 +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c d x + c 2 d x + c 2 +--R (a cosh(-------)sinh(-------) + a cosh(-------))sinh(d x + c) +--R 2 2 2 +--R + +--R d x + c 3 +--R (- a cosh(d x + c) - a)sinh(-------) +--R 2 +--R + +--R d x + c d x + c d x + c 2 +--R (a cosh(-------)cosh(d x + c) + a cosh(-------))sinh(-------) +--R 2 2 2 +--R + +--R d x + c +--R (- a cosh(d x + c) - a)sinh(-------) +--R 2 +--R + +--R d x + c d x + c +--R a cosh(-------)cosh(d x + c) + a cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R 2 d x + c 3 +--R (- a cosh(d x + c) - 2a cosh(d x + c) - a)sinh(-------) +--R 2 +--R + +--R 2 d x + c +--R (- a cosh(d x + c) - 2a cosh(d x + c) - a)sinh(-------) +--R 2 +--R * +--R +---+ +--R | 2 d x + c +--R |- - atan(sinh(-------)) +--R \| a 2 +--R + +--R d x + c 2 d x + c 2 +--R (- a cosh(-------) cosh(d x + c) - a cosh(-------) )sinh(d x + c) +--R 2 2 +--R + +--R d x + c 2 2 d x + c 2 +--R - a cosh(-------) cosh(d x + c) - 2a cosh(-------) cosh(d x + c) +--R 2 2 +--R + +--R d x + c 2 +--R - a cosh(-------) +--R 2 +--R * +--R +---+ +--R | 2 +--R |- - +--R \| a +--R / +--R d x + c 2 +--R ((cosh(d x + c) + 1)sinh(-------) + cosh(d x + c) + 1) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (2cosh(d x + c) + 2cosh(d x + c))sinh(-------) +--R 2 +--R + +--R 2 +--R 2cosh(d x + c) + 2cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 3 2 d x + c 2 +--R (cosh(d x + c) + cosh(d x + c) - cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R 3 2 +--R cosh(d x + c) + cosh(d x + c) - cosh(d x + c) - 1 +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c 2 +--R ((a cosh(d x + c) + a)sinh(-------) + a cosh(d x + c) + a) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (a cosh(d x + c) + 2a cosh(d x + c) + a)sinh(-------) +--R 2 +--R + +--R 2 +--R a cosh(d x + c) + 2a cosh(d x + c) + a +--R * +--R +---+ +--R | 2 +--R |- - +--R \| a +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 347 + +--S 348 of 510 +m0168b:= a0168.2-r0168 +--R +--R +--R (213) +--R +-------------------------------+ +--R | a +--R +-+ 2 |------------------------------- +--R |2 +-------------------+ \|2sinh(d x + c) + 2cosh(d x + c) +--R - 2 |- \|a cosh(d x + c) + a atan(-----------------------------------) +--R \|a +-+ +--R |2 +--R a |- +--R \|a +--R + +--R d x + c d x + c +--R - 2cosh(-------)atan(sinh(-------)) +--R 2 2 +--R / +--R +-------------------+ +--R d\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 348 + +--S 349 of 510 +d0168b:= D(m0168b,x) +--R +--R +--R (214) +--R d x + c 2 +--R ((cosh(d x + c) + 1)sinh(-------) + cosh(d x + c) + 1) +--R 2 +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R d x + c d x + c 2 d x + c 2 +--R (cosh(-------)sinh(-------) + cosh(-------))sinh(d x + c) +--R 2 2 2 +--R + +--R d x + c 3 +--R (- cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R d x + c d x + c d x + c 2 +--R (cosh(-------)cosh(d x + c) + cosh(-------))sinh(-------) +--R 2 2 2 +--R + +--R d x + c +--R (- cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R d x + c d x + c +--R cosh(-------)cosh(d x + c) + cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R 2 d x + c 3 +--R (- cosh(d x + c) - 2cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R 2 d x + c +--R (- cosh(d x + c) - 2cosh(d x + c) - 1)sinh(-------) +--R 2 +--R * +--R d x + c +--R atan(sinh(-------)) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- cosh(-------) cosh(d x + c) - cosh(-------) )sinh(d x + c) +--R 2 2 +--R + +--R d x + c 2 2 d x + c 2 +--R - cosh(-------) cosh(d x + c) - 2cosh(-------) cosh(d x + c) +--R 2 2 +--R + +--R d x + c 2 +--R - cosh(-------) +--R 2 +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R d x + c 2 +--R ((cosh(d x + c) + 1)sinh(-------) + cosh(d x + c) + 1)sinh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 +--R (cosh(d x + c) + 2cosh(d x + c) + 1)sinh(-------) + cosh(d x + c) +--R 2 +--R + +--R 2cosh(d x + c) + 1 +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 349 + +--S 350 of 510 +t0169:= 1/(a+a*cosh(c+d*x))^(3/2) +--R +--R +--R 1 +--R (215) ------------------------------------------- +--R +-------------------+ +--R (a cosh(d x + c) + a)\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 350 + +--S 351 of 510 +r0169:= 1/2*atan(sinh(1/2*c+1/2*d*x))*cosh(1/2*c+1/2*d*x)/a/d/_ + (a+a*cosh(c+d*x))^(1/2)+1/2*sinh(c+d*x)/d/(a+a*cosh(c+d*x))^(3/2) +--R +--R +--R (216) +--R d x + c d x + c d x + c +--R (cosh(-------)cosh(d x + c) + cosh(-------))atan(sinh(-------)) +--R 2 2 2 +--R + +--R sinh(d x + c) +--R / +--R +-------------------+ +--R (2a d cosh(d x + c) + 2a d)\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 351 + +--S 352 of 510 +a0169:= integrate(t0169,x) +--R +--R +--R (217) +--R 2 +--R - a sinh(d x + c) + (- 2a cosh(d x + c) - 2a)sinh(d x + c) +--R + +--R 2 +--R - a cosh(d x + c) - 2a cosh(d x + c) - a +--R * +--R +-------------------------------+ +--R +--+ | a +--R \|2a |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R atan(---------------------------------------) +--R a +--R + +--R 2 2 +--R sinh(d x + c) + (2cosh(d x + c) - 1)sinh(d x + c) + cosh(d x + c) +--R + +--R - cosh(d x + c) +--R * +--R +-------------------------------+ +--R +--+ | a +--R \|2a |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 2 2 2 +--R a d sinh(d x + c) + (2a d cosh(d x + c) + 2a d)sinh(d x + c) +--R + +--R 2 2 2 2 +--R a d cosh(d x + c) + 2a d cosh(d x + c) + a d +--R * +--R +--+ +--R \|2a +--R Type: Union(Expression Integer,...) +--E 352 + +--S 353 of 510 +m0169:= a0169-r0169 +--R +--R +--R (218) +--R 2 +--R (- 2a cosh(d x + c) - 2a)sinh(d x + c) +--R + +--R 2 +--R (- 4a cosh(d x + c) - 8a cosh(d x + c) - 4a)sinh(d x + c) +--R + +--R 3 2 +--R - 2a cosh(d x + c) - 6a cosh(d x + c) - 6a cosh(d x + c) - 2a +--R * +--R +-------------------------------+ +--R +--+ | a +--R \|2a |------------------------------- +--R +-------------------+ \|2sinh(d x + c) + 2cosh(d x + c) +--R \|a cosh(d x + c) + a atan(---------------------------------------) +--R a +--R + +--R 2 +--R (2cosh(d x + c) + 2)sinh(d x + c) +--R + +--R 2 3 +--R (4cosh(d x + c) + 2cosh(d x + c) - 2)sinh(d x + c) + 2cosh(d x + c) +--R + +--R - 2cosh(d x + c) +--R * +--R +-------------------------------+ +--R +--+ | a +-------------------+ +--R \|2a |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c d x + c 2 +--R (- a cosh(-------)cosh(d x + c) - a cosh(-------))sinh(d x + c) +--R 2 2 +--R + +--R d x + c 2 d x + c +--R - 2a cosh(-------)cosh(d x + c) - 4a cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R - 2a cosh(-------) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 3 d x + c 2 +--R - a cosh(-------)cosh(d x + c) - 3a cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c d x + c +--R - 3a cosh(-------)cosh(d x + c) - a cosh(-------) +--R 2 2 +--R * +--R +--+ d x + c +--R \|2a atan(sinh(-------)) +--R 2 +--R + +--R 3 2 +--R - a sinh(d x + c) + (- 2a cosh(d x + c) - 2a)sinh(d x + c) +--R + +--R 2 +--R (- a cosh(d x + c) - 2a cosh(d x + c) - a)sinh(d x + c) +--R * +--R +--+ +--R \|2a +--R / +--R 2 2 2 +--R (2a d cosh(d x + c) + 2a d)sinh(d x + c) +--R + +--R 2 2 2 2 +--R (4a d cosh(d x + c) + 8a d cosh(d x + c) + 4a d)sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R 2a d cosh(d x + c) + 6a d cosh(d x + c) + 6a d cosh(d x + c) + 2a d +--R * +--R +--+ +-------------------+ +--R \|2a \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 353 + +--S 354 of 510 +d0169:= D(m0169,x) +--R +--R +--R (219) +--R 2 d x + c 2 +--R (8cosh(d x + c) + 16cosh(d x + c) + 8)sinh(-------) +--R 2 +--R + +--R 2 +--R 8cosh(d x + c) + 16cosh(d x + c) + 8 +--R * +--R sinh(d x + c) +--R + +--R 3 2 d x + c 2 +--R (8cosh(d x + c) + 16cosh(d x + c) + 8cosh(d x + c))sinh(-------) +--R 2 +--R + +--R 3 2 +--R 8cosh(d x + c) + 16cosh(d x + c) + 8cosh(d x + c) +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R d x + c d x + c d x + c 2 +--R (cosh(-------)cosh(d x + c) + cosh(-------))sinh(-------) +--R 2 2 2 +--R + +--R d x + c d x + c +--R cosh(-------)cosh(d x + c) + cosh(-------) +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 d x + c 3 +--R (- cosh(d x + c) - 2cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R d x + c 2 +--R 3cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 6cosh(-------)cosh(d x + c) + 3cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 d x + c +--R (- cosh(d x + c) - 2cosh(d x + c) - 1)sinh(-------) +--R 2 +--R + +--R d x + c 2 d x + c +--R 3cosh(-------)cosh(d x + c) + 6cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R 3cosh(-------) +--R 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 2 +--R (- 3cosh(d x + c) - 9cosh(d x + c) - 9cosh(d x + c) - 3) +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 +--R 3cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 9cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 9cosh(-------)cosh(d x + c) + 3cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 3 2 +--R (- 3cosh(d x + c) - 9cosh(d x + c) - 9cosh(d x + c) - 3) +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 2 +--R 3cosh(-------)cosh(d x + c) + 9cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c d x + c +--R 9cosh(-------)cosh(d x + c) + 3cosh(-------) +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 3cosh(d x + c) - 12cosh(d x + c) - 18cosh(d x + c) +--R + +--R - 12cosh(d x + c) - 3 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 4 +--R cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 4cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 6cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 4cosh(-------)cosh(d x + c) + cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 4 3 2 +--R - 3cosh(d x + c) - 12cosh(d x + c) - 18cosh(d x + c) +--R + +--R - 12cosh(d x + c) - 3 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 4 d x + c 3 +--R cosh(-------)cosh(d x + c) + 4cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c 2 d x + c +--R 6cosh(-------)cosh(d x + c) + 4cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R cosh(-------) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - cosh(d x + c) - 5cosh(d x + c) - 10cosh(d x + c) +--R + +--R 2 +--R - 10cosh(d x + c) - 5cosh(d x + c) - 1 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R 5 4 3 +--R - cosh(d x + c) - 5cosh(d x + c) - 10cosh(d x + c) +--R + +--R 2 +--R - 10cosh(d x + c) - 5cosh(d x + c) - 1 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R * +--R d x + c +--R atan(sinh(-------)) +--R 2 +--R + +--R d x + c 2 5 +--R (3sinh(-------) + 3)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R ((9cosh(d x + c) + 9)sinh(-------) + 9cosh(d x + c) + 9) +--R 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (7cosh(d x + c) + 16cosh(d x + c) + 9)sinh(-------) +--R 2 +--R + +--R d x + c 2 2 +--R (- cosh(-------) + 7)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 2cosh(-------) + 16)cosh(d x + c) - cosh(-------) + 9 +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 2 +--R (- 3cosh(d x + c) - 3cosh(d x + c) + 3cosh(d x + c) + 3) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 3 +--R (- 3cosh(-------) - 3)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 9cosh(-------) - 3)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 9cosh(-------) + 3)cosh(d x + c) - 3cosh(-------) + 3 +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 6cosh(d x + c) - 18cosh(d x + c) - 18cosh(d x + c) +--R + +--R - 6cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 4 +--R (- 3cosh(-------) - 6)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 12cosh(-------) - 18)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 18cosh(-------) - 18)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 12cosh(-------) - 6)cosh(d x + c) - 3cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 2cosh(d x + c) - 8cosh(d x + c) - 12cosh(d x + c) +--R + +--R 2 +--R - 8cosh(d x + c) - 2cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 5 +--R (- cosh(-------) - 2)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 5cosh(-------) - 8)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 10cosh(-------) - 12)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 10cosh(-------) - 8)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 5cosh(-------) - 2)cosh(d x + c) - cosh(-------) +--R 2 2 +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 d x + c 2 +--R (4a cosh(d x + c) + 8a cosh(d x + c) + 4a)sinh(-------) +--R 2 +--R + +--R 2 +--R 4a cosh(d x + c) + 8a cosh(d x + c) + 4a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 2 +--R 12a cosh(d x + c) + 36a cosh(d x + c) + 36a cosh(d x + c) +--R + +--R 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 3 2 +--R 12a cosh(d x + c) + 36a cosh(d x + c) + 36a cosh(d x + c) + 12a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 12a cosh(d x + c) + 48a cosh(d x + c) + 72a cosh(d x + c) +--R + +--R 48a cosh(d x + c) + 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 4 3 2 +--R 12a cosh(d x + c) + 48a cosh(d x + c) + 72a cosh(d x + c) +--R + +--R 48a cosh(d x + c) + 12a +--R * +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 4a cosh(d x + c) + 20a cosh(d x + c) + 40a cosh(d x + c) +--R + +--R 2 +--R 40a cosh(d x + c) + 20a cosh(d x + c) + 4a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 5 4 3 +--R 4a cosh(d x + c) + 20a cosh(d x + c) + 40a cosh(d x + c) +--R + +--R 2 +--R 40a cosh(d x + c) + 20a cosh(d x + c) + 4a +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 354 + +--S 355 of 510 +t0170:= 1/(a+a*cosh(c+d*x))^(5/2) +--R +--R +--R 1 +--R (220) ---------------------------------------------------------------- +--R 2 2 2 2 +-------------------+ +--R (a cosh(d x + c) + 2a cosh(d x + c) + a )\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 355 + +--S 356 of 510 +r0170:= 3/16*atan(sinh(1/2*c+1/2*d*x))*cosh(1/2*c+1/2*d*x)/a^2/d/_ + (a+a*cosh(c+d*x))^(1/2)+1/4*sinh(c+d*x)/d/_ + (a+a*cosh(c+d*x))^(5/2)+3/16*sinh(c+d*x)/a/d/(a+a*cosh(c+d*x))^(3/2) +--R +--R +--R (221) +--R d x + c 2 d x + c +--R 3cosh(-------)cosh(d x + c) + 6cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R 3cosh(-------) +--R 2 +--R * +--R d x + c +--R atan(sinh(-------)) +--R 2 +--R + +--R (3cosh(d x + c) + 7)sinh(d x + c) +--R / +--R 2 2 2 2 +-------------------+ +--R (16a d cosh(d x + c) + 32a d cosh(d x + c) + 16a d)\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 356 + +--S 357 of 510 +a0170:= integrate(t0170,x) +--R +--R +--R (222) +--R 4 3 +--R - 3a sinh(d x + c) + (- 12a cosh(d x + c) - 12a)sinh(d x + c) +--R + +--R 2 2 +--R (- 18a cosh(d x + c) - 36a cosh(d x + c) - 18a)sinh(d x + c) +--R + +--R 3 2 +--R - 12a cosh(d x + c) - 36a cosh(d x + c) - 36a cosh(d x + c) +--R + +--R - 12a +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 3a cosh(d x + c) - 12a cosh(d x + c) - 18a cosh(d x + c) +--R + +--R - 12a cosh(d x + c) - 3a +--R * +--R +-------------------------------+ +--R +--+ | a +--R \|2a |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R atan(---------------------------------------) +--R a +--R + +--R 4 3 +--R 3sinh(d x + c) + (12cosh(d x + c) + 11)sinh(d x + c) +--R + +--R 2 2 +--R (18cosh(d x + c) + 33cosh(d x + c) - 11)sinh(d x + c) +--R + +--R 3 2 +--R (12cosh(d x + c) + 33cosh(d x + c) - 22cosh(d x + c) - 3) +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 3cosh(d x + c) + 11cosh(d x + c) - 11cosh(d x + c) - 3cosh(d x + c) +--R * +--R +-------------------------------+ +--R +--+ | a +--R \|2a |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 3 4 3 3 3 +--R 8a d sinh(d x + c) + (32a d cosh(d x + c) + 32a d)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R (48a d cosh(d x + c) + 96a d cosh(d x + c) + 48a d)sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 32a d cosh(d x + c) + 96a d cosh(d x + c) + 96a d cosh(d x + c) +--R + +--R 3 +--R 32a d +--R * +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R 8a d cosh(d x + c) + 32a d cosh(d x + c) + 48a d cosh(d x + c) +--R + +--R 3 3 +--R 32a d cosh(d x + c) + 8a d +--R * +--R +--+ +--R \|2a +--R Type: Union(Expression Integer,...) +--E 357 + +--S 358 of 510 +m0170:= a0170-r0170 +--R +--R +--R (223) +--R 2 4 +--R (- 6a cosh(d x + c) - 12a cosh(d x + c) - 6a)sinh(d x + c) +--R + +--R 3 2 +--R - 24a cosh(d x + c) - 72a cosh(d x + c) - 72a cosh(d x + c) +--R + +--R - 24a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 36a cosh(d x + c) - 144a cosh(d x + c) - 216a cosh(d x + c) +--R + +--R - 144a cosh(d x + c) - 36a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 24a cosh(d x + c) - 120a cosh(d x + c) - 240a cosh(d x + c) +--R + +--R 2 +--R - 240a cosh(d x + c) - 120a cosh(d x + c) - 24a +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 6a cosh(d x + c) - 36a cosh(d x + c) - 90a cosh(d x + c) +--R + +--R 3 2 +--R - 120a cosh(d x + c) - 90a cosh(d x + c) - 36a cosh(d x + c) - 6a +--R * +--R +-------------------------------+ +--R +--+ | a +--R \|2a |------------------------------- +--R +-------------------+ \|2sinh(d x + c) + 2cosh(d x + c) +--R \|a cosh(d x + c) + a atan(---------------------------------------) +--R a +--R + +--R 2 4 +--R (6cosh(d x + c) + 12cosh(d x + c) + 6)sinh(d x + c) +--R + +--R 3 2 +--R (24cosh(d x + c) + 70cosh(d x + c) + 68cosh(d x + c) + 22) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 36cosh(d x + c) + 138cosh(d x + c) + 146cosh(d x + c) +--R + +--R 22cosh(d x + c) - 22 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 24cosh(d x + c) + 114cosh(d x + c) + 112cosh(d x + c) +--R + +--R 2 +--R - 28cosh(d x + c) - 56cosh(d x + c) - 6 +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 6cosh(d x + c) + 34cosh(d x + c) + 28cosh(d x + c) +--R + +--R 3 2 +--R - 28cosh(d x + c) - 34cosh(d x + c) - 6cosh(d x + c) +--R * +--R +-------------------------------+ +--R +--+ | a +-------------------+ +--R \|2a |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c 2 d x + c +--R - 3a cosh(-------)cosh(d x + c) - 6a cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R - 3a cosh(-------) +--R 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R d x + c 3 +--R - 12a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 36a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R - 36a cosh(-------)cosh(d x + c) - 12a cosh(-------) +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 4 +--R - 18a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R - 72a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 108a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R - 72a cosh(-------)cosh(d x + c) - 18a cosh(-------) +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 5 +--R - 12a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 4 +--R - 60a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R - 120a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 120a cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R - 60a cosh(-------)cosh(d x + c) - 12a cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 6 d x + c 5 +--R - 3a cosh(-------)cosh(d x + c) - 18a cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c 4 d x + c 3 +--R - 45a cosh(-------)cosh(d x + c) - 60a cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c 2 d x + c +--R - 45a cosh(-------)cosh(d x + c) - 18a cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R - 3a cosh(-------) +--R 2 +--R * +--R +--+ d x + c +--R \|2a atan(sinh(-------)) +--R 2 +--R + +--R 5 +--R (- 3a cosh(d x + c) - 7a)sinh(d x + c) +--R + +--R 2 4 +--R (- 12a cosh(d x + c) - 40a cosh(d x + c) - 28a)sinh(d x + c) +--R + +--R 3 2 +--R - 18a cosh(d x + c) - 78a cosh(d x + c) - 102a cosh(d x + c) +--R + +--R - 42a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 12a cosh(d x + c) - 64a cosh(d x + c) - 120a cosh(d x + c) +--R + +--R - 96a cosh(d x + c) - 28a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 3a cosh(d x + c) - 19a cosh(d x + c) - 46a cosh(d x + c) +--R + +--R 2 +--R - 54a cosh(d x + c) - 31a cosh(d x + c) - 7a +--R * +--R sinh(d x + c) +--R * +--R +--+ +--R \|2a +--R / +--R 3 2 3 3 4 +--R (16a d cosh(d x + c) + 32a d cosh(d x + c) + 16a d)sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 64a d cosh(d x + c) + 192a d cosh(d x + c) + 192a d cosh(d x + c) +--R + +--R 3 +--R 64a d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 4 3 3 +--R 96a d cosh(d x + c) + 384a d cosh(d x + c) +--R + +--R 3 2 3 3 +--R 576a d cosh(d x + c) + 384a d cosh(d x + c) + 96a d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 5 3 4 +--R 64a d cosh(d x + c) + 320a d cosh(d x + c) +--R + +--R 3 3 3 2 +--R 640a d cosh(d x + c) + 640a d cosh(d x + c) +--R + +--R 3 3 +--R 320a d cosh(d x + c) + 64a d +--R * +--R sinh(d x + c) +--R + +--R 3 6 3 5 3 4 +--R 16a d cosh(d x + c) + 96a d cosh(d x + c) + 240a d cosh(d x + c) +--R + +--R 3 3 3 2 3 +--R 320a d cosh(d x + c) + 240a d cosh(d x + c) + 96a d cosh(d x + c) +--R + +--R 3 +--R 16a d +--R * +--R +--+ +-------------------+ +--R \|2a \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 358 + +--S 359 of 510 +d0170:= D(m0170,x) +--R +--R +--R (224) +--R 3 2 +--R 128cosh(d x + c) + 384cosh(d x + c) + 384cosh(d x + c) +--R + +--R 128 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 3 2 +--R 128cosh(d x + c) + 384cosh(d x + c) + 384cosh(d x + c) + 128 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 256cosh(d x + c) + 768cosh(d x + c) + 768cosh(d x + c) +--R + +--R 256cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 4 3 2 +--R 256cosh(d x + c) + 768cosh(d x + c) + 768cosh(d x + c) +--R + +--R 256cosh(d x + c) +--R * +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 128cosh(d x + c) + 384cosh(d x + c) + 384cosh(d x + c) +--R + +--R 2 +--R 128cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 5 4 3 +--R 128cosh(d x + c) + 384cosh(d x + c) + 384cosh(d x + c) +--R + +--R 2 +--R 128cosh(d x + c) +--R * +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R + +--R d x + c 2 +--R 3cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 6cosh(-------)cosh(d x + c) + 3cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 d x + c +--R 3cosh(-------)cosh(d x + c) + 6cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R 3cosh(-------) +--R 2 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 3 2 +--R (- 3cosh(d x + c) - 9cosh(d x + c) - 9cosh(d x + c) - 3) +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 +--R 15cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 45cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 45cosh(-------)cosh(d x + c) + 15cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 3 2 +--R (- 3cosh(d x + c) - 9cosh(d x + c) - 9cosh(d x + c) - 3) +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 2 +--R 15cosh(-------)cosh(d x + c) + 45cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c d x + c +--R 45cosh(-------)cosh(d x + c) + 15cosh(-------) +--R 2 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 15cosh(d x + c) - 60cosh(d x + c) - 90cosh(d x + c) +--R + +--R - 60cosh(d x + c) - 15 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 4 +--R 30cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 120cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 180cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 120cosh(-------)cosh(d x + c) + 30cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 4 3 2 +--R - 15cosh(d x + c) - 60cosh(d x + c) - 90cosh(d x + c) +--R + +--R - 60cosh(d x + c) - 15 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 4 +--R 30cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 120cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 180cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 120cosh(-------)cosh(d x + c) + 30cosh(-------) +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 5 4 +--R - 30cosh(d x + c) - 150cosh(d x + c) +--R + +--R 3 2 +--R - 300cosh(d x + c) - 300cosh(d x + c) +--R + +--R - 150cosh(d x + c) - 30 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 5 +--R 30cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 4 +--R 150cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 300cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 300cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 150cosh(-------)cosh(d x + c) + 30cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 5 4 +--R - 30cosh(d x + c) - 150cosh(d x + c) +--R + +--R 3 2 +--R - 300cosh(d x + c) - 300cosh(d x + c) +--R + +--R - 150cosh(d x + c) - 30 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 5 +--R 30cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 4 +--R 150cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 300cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 300cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 150cosh(-------)cosh(d x + c) + 30cosh(-------) +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 5 +--R - 30cosh(d x + c) - 180cosh(d x + c) +--R + +--R 4 3 +--R - 450cosh(d x + c) - 600cosh(d x + c) +--R + +--R 2 +--R - 450cosh(d x + c) - 180cosh(d x + c) - 30 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 6 +--R 15cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 5 +--R 90cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 4 +--R 225cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 300cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 225cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 90cosh(-------)cosh(d x + c) + 15cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 6 5 +--R - 30cosh(d x + c) - 180cosh(d x + c) +--R + +--R 4 3 +--R - 450cosh(d x + c) - 600cosh(d x + c) +--R + +--R 2 +--R - 450cosh(d x + c) - 180cosh(d x + c) - 30 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 6 d x + c 5 +--R 15cosh(-------)cosh(d x + c) + 90cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c 4 +--R 225cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 300cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c +--R 225cosh(-------)cosh(d x + c) + 90cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R 15cosh(-------) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 7 6 +--R - 15cosh(d x + c) - 105cosh(d x + c) +--R + +--R 5 4 +--R - 315cosh(d x + c) - 525cosh(d x + c) +--R + +--R 3 2 +--R - 525cosh(d x + c) - 315cosh(d x + c) +--R + +--R - 105cosh(d x + c) - 15 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R d x + c 7 +--R 3cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 6 +--R 21cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 5 +--R 63cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 4 +--R 105cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 105cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 63cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c d x + c +--R 21cosh(-------)cosh(d x + c) + 3cosh(-------) +--R 2 2 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 7 6 +--R - 15cosh(d x + c) - 105cosh(d x + c) +--R + +--R 5 4 +--R - 315cosh(d x + c) - 525cosh(d x + c) +--R + +--R 3 2 +--R - 525cosh(d x + c) - 315cosh(d x + c) +--R + +--R - 105cosh(d x + c) - 15 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 7 d x + c 6 +--R 3cosh(-------)cosh(d x + c) + 21cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c 5 +--R 63cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 4 +--R 105cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 3 +--R 105cosh(-------)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c +--R 63cosh(-------)cosh(d x + c) + 21cosh(-------)cosh(d x + c) +--R 2 2 +--R + +--R d x + c +--R 3cosh(-------) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 3cosh(d x + c) - 24cosh(d x + c) - 84cosh(d x + c) +--R + +--R 5 4 3 +--R - 168cosh(d x + c) - 210cosh(d x + c) - 168cosh(d x + c) +--R + +--R 2 +--R - 84cosh(d x + c) - 24cosh(d x + c) - 3 +--R * +--R d x + c 3 +--R sinh(-------) +--R 2 +--R + +--R 8 7 6 +--R - 3cosh(d x + c) - 24cosh(d x + c) - 84cosh(d x + c) +--R + +--R 5 4 3 +--R - 168cosh(d x + c) - 210cosh(d x + c) - 168cosh(d x + c) +--R + +--R 2 +--R - 84cosh(d x + c) - 24cosh(d x + c) - 3 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R * +--R d x + c +--R atan(sinh(-------)) +--R 2 +--R + +--R d x + c 2 +--R ((9cosh(d x + c) + 29)sinh(-------) + 9cosh(d x + c) + 29) +--R 2 +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (45cosh(d x + c) + 190cosh(d x + c) + 145)sinh(-------) +--R 2 +--R + +--R 2 +--R 45cosh(d x + c) + 190cosh(d x + c) + 145 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 3 2 +--R (84cosh(d x + c) + 450cosh(d x + c) + 656cosh(d x + c) + 290) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 3 +--R (- 3cosh(-------) + 84)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 9cosh(-------) + 450)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 9cosh(-------) + 656)cosh(d x + c) - 3cosh(-------) + 290 +--R 2 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 60cosh(d x + c) + 430cosh(d x + c) + 970cosh(d x + c) +--R + +--R 890cosh(d x + c) + 290 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 4 +--R (- 15cosh(-------) + 60)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 60cosh(-------) + 430)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 90cosh(-------) + 970)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 60cosh(-------) + 890)cosh(d x + c) - 15cosh(-------) + 290 +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 15cosh(d x + c) + 5cosh(d x + c) + 250cosh(d x + c) +--R + +--R 2 +--R 570cosh(d x + c) + 485cosh(d x + c) + 145 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 5 +--R (- 30cosh(-------) - 15)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 150cosh(-------) + 5)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 300cosh(-------) + 250)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 300cosh(-------) + 570)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 150cosh(-------) + 485)cosh(d x + c) - 30cosh(-------) + 145 +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 51cosh(d x + c) - 306cosh(d x + c) - 685cosh(d x + c) +--R + +--R 3 2 +--R - 700cosh(d x + c) - 285cosh(d x + c) + 14cosh(d x + c) + 29 +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 6 +--R (- 30cosh(-------) - 51)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 180cosh(-------) - 306)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 450cosh(-------) - 685)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 600cosh(-------) - 700)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 450cosh(-------) - 285)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 180cosh(-------) + 14)cosh(d x + c) - 30cosh(-------) + 29 +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 7 6 5 +--R - 30cosh(d x + c) - 220cosh(d x + c) - 650cosh(d x + c) +--R + +--R 4 3 2 +--R - 1000cosh(d x + c) - 850cosh(d x + c) - 380cosh(d x + c) +--R + +--R - 70cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 7 +--R (- 15cosh(-------) - 30)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 105cosh(-------) - 220)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 315cosh(-------) - 650)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 525cosh(-------) - 1000)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 525cosh(-------) - 850)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 315cosh(-------) - 380)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 105cosh(-------) - 70)cosh(d x + c) - 15cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R 8 7 6 +--R - 6cosh(d x + c) - 50cosh(d x + c) - 174cosh(d x + c) +--R + +--R 5 4 3 +--R - 330cosh(d x + c) - 370cosh(d x + c) - 246cosh(d x + c) +--R + +--R 2 +--R - 90cosh(d x + c) - 14cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 8 +--R (- 3cosh(-------) - 6)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (- 24cosh(-------) - 50)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 84cosh(-------) - 174)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 168cosh(-------) - 330)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 210cosh(-------) - 370)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 168cosh(-------) - 246)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 84cosh(-------) - 90)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 24cosh(-------) - 14)cosh(d x + c) - 3cosh(-------) +--R 2 2 +--R * +--R +-------------------------------+ +--R | a +--R |------------------------------- +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 3 2 2 2 +--R 32a cosh(d x + c) + 96a cosh(d x + c) + 96a cosh(d x + c) +--R + +--R 2 +--R 32a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 3 2 2 2 2 +--R 32a cosh(d x + c) + 96a cosh(d x + c) + 96a cosh(d x + c) + 32a +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 2 4 2 3 2 2 +--R 160a cosh(d x + c) + 640a cosh(d x + c) + 960a cosh(d x + c) +--R + +--R 2 2 +--R 640a cosh(d x + c) + 160a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 4 2 3 2 2 +--R 160a cosh(d x + c) + 640a cosh(d x + c) + 960a cosh(d x + c) +--R + +--R 2 2 +--R 640a cosh(d x + c) + 160a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 5 2 4 +--R 320a cosh(d x + c) + 1600a cosh(d x + c) +--R + +--R 2 3 2 2 +--R 3200a cosh(d x + c) + 3200a cosh(d x + c) +--R + +--R 2 2 +--R 1600a cosh(d x + c) + 320a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 5 2 4 2 3 +--R 320a cosh(d x + c) + 1600a cosh(d x + c) + 3200a cosh(d x + c) +--R + +--R 2 2 2 2 +--R 3200a cosh(d x + c) + 1600a cosh(d x + c) + 320a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 6 2 5 +--R 320a cosh(d x + c) + 1920a cosh(d x + c) +--R + +--R 2 4 2 3 +--R 4800a cosh(d x + c) + 6400a cosh(d x + c) +--R + +--R 2 2 2 2 +--R 4800a cosh(d x + c) + 1920a cosh(d x + c) + 320a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 6 2 5 2 4 +--R 320a cosh(d x + c) + 1920a cosh(d x + c) + 4800a cosh(d x + c) +--R + +--R 2 3 2 2 2 +--R 6400a cosh(d x + c) + 4800a cosh(d x + c) + 1920a cosh(d x + c) +--R + +--R 2 +--R 320a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 7 2 6 +--R 160a cosh(d x + c) + 1120a cosh(d x + c) +--R + +--R 2 5 2 4 +--R 3360a cosh(d x + c) + 5600a cosh(d x + c) +--R + +--R 2 3 2 2 +--R 5600a cosh(d x + c) + 3360a cosh(d x + c) +--R + +--R 2 2 +--R 1120a cosh(d x + c) + 160a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 7 2 6 2 5 +--R 160a cosh(d x + c) + 1120a cosh(d x + c) + 3360a cosh(d x + c) +--R + +--R 2 4 2 3 2 2 +--R 5600a cosh(d x + c) + 5600a cosh(d x + c) + 3360a cosh(d x + c) +--R + +--R 2 2 +--R 1120a cosh(d x + c) + 160a +--R * +--R sinh(d x + c) +--R + +--R 2 8 2 7 2 6 +--R 32a cosh(d x + c) + 256a cosh(d x + c) + 896a cosh(d x + c) +--R + +--R 2 5 2 4 2 3 +--R 1792a cosh(d x + c) + 2240a cosh(d x + c) + 1792a cosh(d x + c) +--R + +--R 2 2 2 2 +--R 896a cosh(d x + c) + 256a cosh(d x + c) + 32a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R 2 8 2 7 2 6 +--R 32a cosh(d x + c) + 256a cosh(d x + c) + 896a cosh(d x + c) +--R + +--R 2 5 2 4 2 3 +--R 1792a cosh(d x + c) + 2240a cosh(d x + c) + 1792a cosh(d x + c) +--R + +--R 2 2 2 2 +--R 896a cosh(d x + c) + 256a cosh(d x + c) + 32a +--R * +--R +-------------------------------+ +--R | a +-------------------+ +--R |------------------------------- \|a cosh(d x + c) + a +--R \|2sinh(d x + c) + 2cosh(d x + c) +--R Type: Expression Integer +--E 359 + +--S 360 of 510 +t0171:= 1/(a-a*cosh(c+d*x))^(3/2) +--R +--R +--R 1 +--R (225) - --------------------------------------------- +--R +---------------------+ +--R (a cosh(d x + c) - a)\|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 360 + +--S 361 of 510 +r0171:= -1/2*atanh(cosh(1/2*c+1/2*d*x))*sinh(1/2*c+1/2*d*x)/a/d/_ + (a-a*cosh(c+d*x))^(1/2)-1/2*sinh(c+d*x)/d/(a-a*cosh(c+d*x))^(3/2) +--R +--R +--R (226) +--R d x + c d x + c +--R (- cosh(d x + c) + 1)sinh(-------)atanh(cosh(-------)) + sinh(d x + c) +--R 2 2 +--R ---------------------------------------------------------------------- +--R +---------------------+ +--R (2a d cosh(d x + c) - 2a d)\|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 361 + +--S 362 of 510 +a0171:= integrate(t0171,x) +--R +--R +--R (227) +--R 2 +--R a sinh(d x + c) + (2a cosh(d x + c) - 2a)sinh(d x + c) +--R + +--R 2 +--R a cosh(d x + c) - 2a cosh(d x + c) + a +--R * +--R log +--R (4sinh(d x + c) + 4cosh(d x + c)) +--R * +--R +---------------------------------+ +--R | a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R +----+ +--R (- sinh(d x + c) - cosh(d x + c) - 1)\|- 2a +--R / +--R sinh(d x + c) + cosh(d x + c) - 1 +--R + +--R 2 +--R - 2sinh(d x + c) + (- 4cosh(d x + c) - 2)sinh(d x + c) +--R + +--R 2 +--R - 2cosh(d x + c) - 2cosh(d x + c) +--R * +--R +---------------------------------+ +--R +----+ | a +--R \|- 2a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 2 2 2 2 +--R 2a d sinh(d x + c) + (4a d cosh(d x + c) - 4a d)sinh(d x + c) +--R + +--R 2 2 2 2 +--R 2a d cosh(d x + c) - 4a d cosh(d x + c) + 2a d +--R * +--R +----+ +--R \|- 2a +--R Type: Union(Expression Integer,...) +--E 362 + +--S 363 of 510 +m0171:= a0171-r0171 +--R +--R +--R (228) +--R 2 +--R (a cosh(d x + c) - a)sinh(d x + c) +--R + +--R 2 +--R (2a cosh(d x + c) - 4a cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 3 2 +--R a cosh(d x + c) - 3a cosh(d x + c) + 3a cosh(d x + c) - a +--R * +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R * +--R log +--R (4sinh(d x + c) + 4cosh(d x + c)) +--R * +--R +---------------------------------+ +--R | a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R +----+ +--R (- sinh(d x + c) - cosh(d x + c) - 1)\|- 2a +--R / +--R sinh(d x + c) + cosh(d x + c) - 1 +--R + +--R 2 +--R (- 2cosh(d x + c) + 2)sinh(d x + c) +--R + +--R 2 +--R (- 4cosh(d x + c) + 2cosh(d x + c) + 2)sinh(d x + c) +--R + +--R 3 +--R - 2cosh(d x + c) + 2cosh(d x + c) +--R * +--R +---------------------------------+ +--R +----+ +---------------------+ | a +--R \|- 2a \|- a cosh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c 2 +--R (a cosh(d x + c) - a)sinh(-------)sinh(d x + c) +--R 2 +--R + +--R 2 d x + c +--R (2a cosh(d x + c) - 4a cosh(d x + c) + 2a)sinh(-------)sinh(d x + c) +--R 2 +--R + +--R 3 2 +--R (a cosh(d x + c) - 3a cosh(d x + c) + 3a cosh(d x + c) - a) +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R * +--R +----+ d x + c +--R \|- 2a atanh(cosh(-------)) +--R 2 +--R + +--R 3 2 +--R - a sinh(d x + c) + (- 2a cosh(d x + c) + 2a)sinh(d x + c) +--R + +--R 2 +--R (- a cosh(d x + c) + 2a cosh(d x + c) - a)sinh(d x + c) +--R * +--R +----+ +--R \|- 2a +--R / +--R 2 2 2 +--R (2a d cosh(d x + c) - 2a d)sinh(d x + c) +--R + +--R 2 2 2 2 +--R (4a d cosh(d x + c) - 8a d cosh(d x + c) + 4a d)sinh(d x + c) +--R + +--R 2 3 2 2 2 2 +--R 2a d cosh(d x + c) - 6a d cosh(d x + c) + 6a d cosh(d x + c) - 2a d +--R * +--R +----+ +---------------------+ +--R \|- 2a \|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 363 + +--S 364 of 510 +d0171:= D(m0171,x) +--R +--R +--R (229) +--R d x + c 2 2 +--R (- 16cosh(-------) + 16)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (32cosh(-------) - 32)cosh(d x + c) - 16cosh(-------) + 16 +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 3 +--R (- 48cosh(-------) + 48)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (80cosh(-------) - 80)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 16cosh(-------) + 16)cosh(d x + c) - 16cosh(-------) + 16 +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (- 48cosh(-------) + 48)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (64cosh(-------) - 64)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (16cosh(-------) - 16)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 32cosh(-------) + 32)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (- 16cosh(-------) + 16)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (16cosh(-------) - 16)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (16cosh(-------) - 16)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 16cosh(-------) + 16)cosh(d x + c) +--R 2 +--R * +--R +----+ +---------------------+ +--R \|- 2a \|- a cosh(d x + c) + a +--R + +--R d x + c 2 d x + c 2 +--R (- 4a cosh(-------) + 4a)cosh(d x + c) + 4a cosh(-------) +--R 2 2 +--R + +--R - 4a +--R * +--R d x + c 5 +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 16a cosh(-------) + 16a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (28a cosh(-------) - 28a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 12a cosh(-------) + 12a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 2 +--R (4a cosh(-------) - 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 8a cosh(-------) + 8a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 4a cosh(-------) - 4a cosh(-------) +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R d x + c 2 3 +--R (- 24a cosh(-------) + 24a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (60a cosh(-------) - 60a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 48a cosh(-------) + 48a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 12a cosh(-------) - 12a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 3 +--R (16a cosh(-------) - 16a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 44a cosh(-------) + 44a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (40a cosh(-------) - 40a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 12a cosh(-------) + 12a cosh(-------) +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (- 16a cosh(-------) + 16a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (52a cosh(-------) - 52a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 60a cosh(-------) + 60a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (28a cosh(-------) - 28a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 4a cosh(-------) + 4a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 4 +--R (24a cosh(-------) - 24a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 84a cosh(-------) + 84a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (108a cosh(-------) - 108a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 60a cosh(-------) + 60a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 12a cosh(-------) - 12a cosh(-------) +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (- 4a cosh(-------) + 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (16a cosh(-------) - 16a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 24a cosh(-------) + 24a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (16a cosh(-------) - 16a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 4a cosh(-------) + 4a)cosh(d x + c) +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 5 +--R (16a cosh(-------) - 16a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 68a cosh(-------) + 68a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (112a cosh(-------) - 112a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 88a cosh(-------) + 88a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (32a cosh(-------) - 32a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 4a cosh(-------) + 4a cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 3 d x + c 6 +--R (4a cosh(-------) - 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 20a cosh(-------) + 20a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (40a cosh(-------) - 40a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 40a cosh(-------) + 40a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (20a cosh(-------) - 20a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 4a cosh(-------) + 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R * +--R d x + c +--R atanh(cosh(-------)) +--R 2 +--R + +--R d x + c 2 6 +--R (12a cosh(-------) - 12a)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (48a cosh(-------) - 48a)cosh(d x + c) - 36a cosh(-------) +--R 2 2 +--R + +--R 36a +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (- 4a cosh(d x + c) + 8a cosh(d x + c) - 4a)sinh(-------) +--R 2 +--R + +--R d x + c 2 2 +--R (64a cosh(-------) - 64a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 100a cosh(-------) + 100a)cosh(d x + c) + 36a cosh(-------) +--R 2 2 +--R + +--R - 36a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 2 +--R - 16a cosh(d x + c) + 44a cosh(d x + c) - 40a cosh(d x + c) +--R + +--R 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 3 +--R (16a cosh(-------) - 16a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 52a cosh(-------) + 52a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (48a cosh(-------) - 48a)cosh(d x + c) - 12a cosh(-------) + 12a +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 +--R - 24a cosh(d x + c) + 84a cosh(d x + c) +--R + +--R 2 +--R - 108a cosh(d x + c) + 60a cosh(d x + c) - 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 4 +--R (- 36a cosh(-------) + 36a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (84a cosh(-------) - 84a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 60a cosh(-------) + 60a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (12a cosh(-------) - 12a)cosh(d x + c) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 +--R - 16a cosh(d x + c) + 68a cosh(d x + c) +--R + +--R 3 2 +--R - 112a cosh(d x + c) + 88a cosh(d x + c) +--R + +--R - 32a cosh(d x + c) + 4a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 5 +--R (- 32a cosh(-------) + 32a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (104a cosh(-------) - 104a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 120a cosh(-------) + 120a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (56a cosh(-------) - 56a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 8a cosh(-------) + 8a)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 4a cosh(d x + c) + 20a cosh(d x + c) - 40a cosh(d x + c) +--R + +--R 3 2 +--R 40a cosh(d x + c) - 20a cosh(d x + c) + 4a cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 6 +--R (- 8a cosh(-------) + 8a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (32a cosh(-------) - 32a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 48a cosh(-------) + 48a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (32a cosh(-------) - 32a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 8a cosh(-------) + 8a)cosh(d x + c) +--R 2 +--R * +--R +---------------------------------+ +--R | a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c 2 2 +--R (- 32a cosh(-------) + 32a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (64a cosh(-------) - 64a)cosh(d x + c) - 32a cosh(-------) + 32a +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 3 +--R (- 64a cosh(-------) + 64a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (128a cosh(-------) - 128a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 64a cosh(-------) + 64a)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (- 32a cosh(-------) + 32a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (64a cosh(-------) - 64a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 32a cosh(-------) + 32a)cosh(d x + c) +--R 2 +--R * +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R + +--R d x + c 2 d x + c 2 +--R ((a cosh(-------) - a)cosh(d x + c) - a cosh(-------) + a) +--R 2 2 +--R * +--R d x + c 5 +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (4a cosh(-------) - 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 6a cosh(-------) + 6a)cosh(d x + c) + 2a cosh(-------) +--R 2 2 +--R + +--R - 2a +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 2 +--R (- a cosh(-------) + a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (2a cosh(-------) - 2a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - a cosh(-------) + a cosh(-------) +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R d x + c 2 3 +--R (6a cosh(-------) - 6a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 12a cosh(-------) + 12a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (6a cosh(-------) - 6a)cosh(d x + c) +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 4a cosh(-------) + 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (10a cosh(-------) - 10a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 8a cosh(-------) + 8a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 2a cosh(-------) - 2a cosh(-------) +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (4a cosh(-------) - 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 10a cosh(-------) + 10a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (6a cosh(-------) - 6a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (2a cosh(-------) - 2a)cosh(d x + c) - 2a cosh(-------) + 2a +--R 2 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 6a cosh(-------) + 6a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (18a cosh(-------) - 18a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 18a cosh(-------) + 18a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (6a cosh(-------) - 6a cosh(-------))cosh(d x + c) +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (a cosh(-------) - a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 3a cosh(-------) + 3a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (2a cosh(-------) - 2a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (2a cosh(-------) - 2a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 3a cosh(-------) + 3a)cosh(d x + c) + a cosh(-------) - a +--R 2 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 4a cosh(-------) + 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (14a cosh(-------) - 14a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 16a cosh(-------) + 16a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (4a cosh(-------) - 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (4a cosh(-------) - 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 2a cosh(-------) + 2a cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 3 d x + c 6 +--R (- a cosh(-------) + a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (4a cosh(-------) - 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 5a cosh(-------) + 5a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (5a cosh(-------) - 5a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 4a cosh(-------) + 4a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R a cosh(-------) - a cosh(-------) +--R 2 2 +--R * +--R +----+ d x + c +--R \|- 2a atanh(cosh(-------)) +--R 2 +--R + +--R d x + c 2 6 +--R (- 3a cosh(-------) + 3a)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 12a cosh(-------) + 12a)cosh(d x + c) + 6a cosh(-------) +--R 2 2 +--R + +--R - 6a +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 +--R (a cosh(d x + c) - 2a cosh(d x + c) + a)sinh(-------) +--R 2 +--R + +--R d x + c 2 2 +--R (- 16a cosh(-------) + 16a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (16a cosh(-------) - 16a)cosh(d x + c) +--R 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 2 +--R 4a cosh(d x + c) - 10a cosh(d x + c) + 8a cosh(d x + c) +--R + +--R - 2a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 3 +--R (- 4a cosh(-------) + 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (6a cosh(-------) - 6a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (4a cosh(-------) - 4a)cosh(d x + c) - 6a cosh(-------) + 6a +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 6a cosh(d x + c) - 18a cosh(d x + c) + 18a cosh(d x + c) +--R + +--R - 6a cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 4 +--R (9a cosh(-------) - 9a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 18a cosh(-------) + 18a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (12a cosh(-------) - 12a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 6a cosh(-------) + 6a)cosh(d x + c) + 3a cosh(-------) - 3a +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 4a cosh(d x + c) - 14a cosh(d x + c) + 16a cosh(d x + c) +--R + +--R 2 +--R - 4a cosh(d x + c) - 4a cosh(d x + c) + 2a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 5 +--R (8a cosh(-------) - 8a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 20a cosh(-------) + 20a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (12a cosh(-------) - 12a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (4a cosh(-------) - 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 4a cosh(-------) + 4a)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R a cosh(d x + c) - 4a cosh(d x + c) + 5a cosh(d x + c) +--R + +--R 2 +--R - 5a cosh(d x + c) + 4a cosh(d x + c) - a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 6 +--R (2a cosh(-------) - 2a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 6a cosh(-------) + 6a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (4a cosh(-------) - 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (4a cosh(-------) - 4a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 6a cosh(-------) + 6a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (2a cosh(-------) - 2a)cosh(d x + c) +--R 2 +--R * +--R +----+ +--R \|- 2a +--R / +--R 2 d x + c 2 2 2 +--R (16a cosh(-------) - 16a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 +--R (- 32a cosh(-------) + 32a )cosh(d x + c) + 16a cosh(-------) +--R 2 2 +--R + +--R 2 +--R - 16a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 3 +--R (64a cosh(-------) - 64a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (- 176a cosh(-------) + 176a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 +--R (160a cosh(-------) - 160a )cosh(d x + c) - 48a cosh(-------) +--R 2 2 +--R + +--R 2 +--R 48a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 4 +--R (96a cosh(-------) - 96a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 3 +--R (- 336a cosh(-------) + 336a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (432a cosh(-------) - 432a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 +--R (- 240a cosh(-------) + 240a )cosh(d x + c) + 48a cosh(-------) +--R 2 2 +--R + +--R 2 +--R - 48a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 5 +--R (64a cosh(-------) - 64a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 4 +--R (- 272a cosh(-------) + 272a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 3 +--R (448a cosh(-------) - 448a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (- 352a cosh(-------) + 352a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 +--R (128a cosh(-------) - 128a )cosh(d x + c) - 16a cosh(-------) +--R 2 2 +--R + +--R 2 +--R 16a +--R * +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 6 +--R (16a cosh(-------) - 16a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 5 +--R (- 80a cosh(-------) + 80a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 4 +--R (160a cosh(-------) - 160a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 3 +--R (- 160a cosh(-------) + 160a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (80a cosh(-------) - 80a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 +--R (- 16a cosh(-------) + 16a )cosh(d x + c) +--R 2 +--R * +--R +---------------------------------+ +--R +---------------------+ | a +--R \|- a cosh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2 d x + c 2 2 2 +--R (- 4a cosh(-------) + 4a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 2 +--R (8a cosh(-------) - 8a )cosh(d x + c) - 4a cosh(-------) + 4a +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 3 +--R (- 16a cosh(-------) + 16a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (40a cosh(-------) - 40a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 +--R (- 32a cosh(-------) + 32a )cosh(d x + c) + 8a cosh(-------) +--R 2 2 +--R + +--R 2 +--R - 8a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 4 +--R (- 24a cosh(-------) + 24a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 3 +--R (72a cosh(-------) - 72a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (- 72a cosh(-------) + 72a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 +--R (24a cosh(-------) - 24a )cosh(d x + c) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 5 +--R (- 16a cosh(-------) + 16a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 4 +--R (56a cosh(-------) - 56a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 3 +--R (- 64a cosh(-------) + 64a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (16a cosh(-------) - 16a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 2 +--R (16a cosh(-------) - 16a )cosh(d x + c) - 8a cosh(-------) + 8a +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R 2 d x + c 2 2 6 +--R (- 4a cosh(-------) + 4a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 5 +--R (16a cosh(-------) - 16a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 4 +--R (- 20a cosh(-------) + 20a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 +--R (20a cosh(-------) - 20a )cosh(d x + c) +--R 2 +--R + +--R 2 d x + c 2 2 2 d x + c 2 2 +--R (- 16a cosh(-------) + 16a )cosh(d x + c) + 4a cosh(-------) - 4a +--R 2 2 +--R * +--R +----+ +---------------------+ +--R \|- 2a \|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 364 + +--S 365 of 510 +t0172:= 1/(a-a*cosh(c+d*x))^(5/2) +--R +--R +--R 1 +--R (230) ------------------------------------------------------------------ +--R 2 2 2 2 +---------------------+ +--R (a cosh(d x + c) - 2a cosh(d x + c) + a )\|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 365 + +--S 366 of 510 +r0172:= -3/16*atanh(cosh(1/2*c+1/2*d*x))*sinh(1/2*c+1/2*d*x)/a^2/d/_ + (a-a*cosh(c+d*x))^(1/2)-1/4*sinh(c+d*x)/d/(a-a*cosh(c+d*x))^(5/2)-_ + 3/16*sinh(c+d*x)/a/d/(a-a*cosh(c+d*x))^(3/2) +--R +--R +--R (231) +--R 2 d x + c d x + c +--R (- 3cosh(d x + c) + 6cosh(d x + c) - 3)sinh(-------)atanh(cosh(-------)) +--R 2 2 +--R + +--R (3cosh(d x + c) - 7)sinh(d x + c) +--R / +--R 2 2 2 2 +--R (16a d cosh(d x + c) - 32a d cosh(d x + c) + 16a d) +--R * +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 366 + +--S 367 of 510 +a0172:= integrate(t0172,x) +--R +--R +--R (232) +--R 4 3 +--R 3a sinh(d x + c) + (12a cosh(d x + c) - 12a)sinh(d x + c) +--R + +--R 2 2 +--R (18a cosh(d x + c) - 36a cosh(d x + c) + 18a)sinh(d x + c) +--R + +--R 3 2 +--R (12a cosh(d x + c) - 36a cosh(d x + c) + 36a cosh(d x + c) - 12a) +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 3a cosh(d x + c) - 12a cosh(d x + c) + 18a cosh(d x + c) +--R + +--R - 12a cosh(d x + c) + 3a +--R * +--R log +--R (4sinh(d x + c) + 4cosh(d x + c)) +--R * +--R +---------------------------------+ +--R | a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R +----+ +--R (- sinh(d x + c) - cosh(d x + c) - 1)\|- 2a +--R / +--R sinh(d x + c) + cosh(d x + c) - 1 +--R + +--R 4 3 +--R - 6sinh(d x + c) + (- 24cosh(d x + c) + 22)sinh(d x + c) +--R + +--R 2 2 +--R (- 36cosh(d x + c) + 66cosh(d x + c) + 22)sinh(d x + c) +--R + +--R 3 2 +--R (- 24cosh(d x + c) + 66cosh(d x + c) + 44cosh(d x + c) - 6) +--R * +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 6cosh(d x + c) + 22cosh(d x + c) + 22cosh(d x + c) +--R + +--R - 6cosh(d x + c) +--R * +--R +---------------------------------+ +--R +----+ | a +--R \|- 2a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R / +--R 3 4 3 3 3 +--R 16a d sinh(d x + c) + (64a d cosh(d x + c) - 64a d)sinh(d x + c) +--R + +--R 3 2 3 3 2 +--R (96a d cosh(d x + c) - 192a d cosh(d x + c) + 96a d)sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 64a d cosh(d x + c) - 192a d cosh(d x + c) + 192a d cosh(d x + c) +--R + +--R 3 +--R - 64a d +--R * +--R sinh(d x + c) +--R + +--R 3 4 3 3 3 2 +--R 16a d cosh(d x + c) - 64a d cosh(d x + c) + 96a d cosh(d x + c) +--R + +--R 3 3 +--R - 64a d cosh(d x + c) + 16a d +--R * +--R +----+ +--R \|- 2a +--R Type: Union(Expression Integer,...) +--E 367 + +--S 368 of 510 +m0172:= a0172-r0172 +--R +--R +--R (233) +--R 2 4 +--R (3a cosh(d x + c) - 6a cosh(d x + c) + 3a)sinh(d x + c) +--R + +--R 3 2 +--R (12a cosh(d x + c) - 36a cosh(d x + c) + 36a cosh(d x + c) - 12a) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 18a cosh(d x + c) - 72a cosh(d x + c) + 108a cosh(d x + c) +--R + +--R - 72a cosh(d x + c) + 18a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R 12a cosh(d x + c) - 60a cosh(d x + c) + 120a cosh(d x + c) +--R + +--R 2 +--R - 120a cosh(d x + c) + 60a cosh(d x + c) - 12a +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R 3a cosh(d x + c) - 18a cosh(d x + c) + 45a cosh(d x + c) +--R + +--R 3 2 +--R - 60a cosh(d x + c) + 45a cosh(d x + c) - 18a cosh(d x + c) + 3a +--R * +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R * +--R log +--R (4sinh(d x + c) + 4cosh(d x + c)) +--R * +--R +---------------------------------+ +--R | a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R +----+ +--R (- sinh(d x + c) - cosh(d x + c) - 1)\|- 2a +--R / +--R sinh(d x + c) + cosh(d x + c) - 1 +--R + +--R 2 4 +--R (- 6cosh(d x + c) + 12cosh(d x + c) - 6)sinh(d x + c) +--R + +--R 3 2 +--R (- 24cosh(d x + c) + 70cosh(d x + c) - 68cosh(d x + c) + 22) +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 36cosh(d x + c) + 138cosh(d x + c) - 146cosh(d x + c) +--R + +--R 22cosh(d x + c) + 22 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 24cosh(d x + c) + 114cosh(d x + c) - 112cosh(d x + c) +--R + +--R 2 +--R - 28cosh(d x + c) + 56cosh(d x + c) - 6 +--R * +--R sinh(d x + c) +--R + +--R 6 5 4 +--R - 6cosh(d x + c) + 34cosh(d x + c) - 28cosh(d x + c) +--R + +--R 3 2 +--R - 28cosh(d x + c) + 34cosh(d x + c) - 6cosh(d x + c) +--R * +--R +---------------------------------+ +--R +----+ +---------------------+ | a +--R \|- 2a \|- a cosh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 2 d x + c +--R (3a cosh(d x + c) - 6a cosh(d x + c) + 3a)sinh(-------) +--R 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 2 +--R (12a cosh(d x + c) - 36a cosh(d x + c) + 36a cosh(d x + c) - 12a) +--R * +--R d x + c 3 +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R 4 3 2 +--R 18a cosh(d x + c) - 72a cosh(d x + c) + 108a cosh(d x + c) +--R + +--R - 72a cosh(d x + c) + 18a +--R * +--R d x + c 2 +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R 5 4 3 +--R 12a cosh(d x + c) - 60a cosh(d x + c) + 120a cosh(d x + c) +--R + +--R 2 +--R - 120a cosh(d x + c) + 60a cosh(d x + c) - 12a +--R * +--R d x + c +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R 6 5 4 +--R 3a cosh(d x + c) - 18a cosh(d x + c) + 45a cosh(d x + c) +--R + +--R 3 2 +--R - 60a cosh(d x + c) + 45a cosh(d x + c) - 18a cosh(d x + c) + 3a +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R * +--R +----+ d x + c +--R \|- 2a atanh(cosh(-------)) +--R 2 +--R + +--R 5 +--R (- 3a cosh(d x + c) + 7a)sinh(d x + c) +--R + +--R 2 4 +--R (- 12a cosh(d x + c) + 40a cosh(d x + c) - 28a)sinh(d x + c) +--R + +--R 3 2 +--R - 18a cosh(d x + c) + 78a cosh(d x + c) - 102a cosh(d x + c) +--R + +--R 42a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R - 12a cosh(d x + c) + 64a cosh(d x + c) - 120a cosh(d x + c) +--R + +--R 96a cosh(d x + c) - 28a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 5 4 3 +--R - 3a cosh(d x + c) + 19a cosh(d x + c) - 46a cosh(d x + c) +--R + +--R 2 +--R 54a cosh(d x + c) - 31a cosh(d x + c) + 7a +--R * +--R sinh(d x + c) +--R * +--R +----+ +--R \|- 2a +--R / +--R 3 2 3 3 4 +--R (16a d cosh(d x + c) - 32a d cosh(d x + c) + 16a d)sinh(d x + c) +--R + +--R 3 3 3 2 3 +--R 64a d cosh(d x + c) - 192a d cosh(d x + c) + 192a d cosh(d x + c) +--R + +--R 3 +--R - 64a d +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 4 3 3 +--R 96a d cosh(d x + c) - 384a d cosh(d x + c) +--R + +--R 3 2 3 3 +--R 576a d cosh(d x + c) - 384a d cosh(d x + c) + 96a d +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 5 3 4 +--R 64a d cosh(d x + c) - 320a d cosh(d x + c) +--R + +--R 3 3 3 2 +--R 640a d cosh(d x + c) - 640a d cosh(d x + c) +--R + +--R 3 3 +--R 320a d cosh(d x + c) - 64a d +--R * +--R sinh(d x + c) +--R + +--R 3 6 3 5 3 4 +--R 16a d cosh(d x + c) - 96a d cosh(d x + c) + 240a d cosh(d x + c) +--R + +--R 3 3 3 2 3 +--R - 320a d cosh(d x + c) + 240a d cosh(d x + c) - 96a d cosh(d x + c) +--R + +--R 3 +--R 16a d +--R * +--R +----+ +---------------------+ +--R \|- 2a \|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 368 + +--S 369 of 510 +d0172:= D(m0172,x) +--R +--R +--R (234) +--R d x + c 2 3 +--R (256cosh(-------) - 256)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 768cosh(-------) + 768)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (768cosh(-------) - 768)cosh(d x + c) - 256cosh(-------) +--R 2 2 +--R + +--R 256 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (1024cosh(-------) - 1024)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 2816cosh(-------) + 2816)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (2304cosh(-------) - 2304)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 256cosh(-------) + 256)cosh(d x + c) - 256cosh(-------) +--R 2 2 +--R + +--R 256 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (1536cosh(-------) - 1536)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 3840cosh(-------) + 3840)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (2304cosh(-------) - 2304)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (768cosh(-------) - 768)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 768cosh(-------) + 768)cosh(d x + c) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 6 +--R (1024cosh(-------) - 1024)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 2304cosh(-------) + 2304)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (768cosh(-------) - 768)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (1280cosh(-------) - 1280)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 768cosh(-------) + 768)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 2 7 +--R (256cosh(-------) - 256)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 512cosh(-------) + 512)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (512cosh(-------) - 512)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 256cosh(-------) + 256)cosh(d x + c) +--R 2 +--R * +--R +----+ +---------------------+ +--R \|- 2a \|- a cosh(d x + c) + a +--R + +--R d x + c 2 2 +--R (- 12a cosh(-------) + 12a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (24a cosh(-------) - 24a)cosh(d x + c) - 12a cosh(-------) +--R 2 2 +--R + +--R 12a +--R * +--R d x + c 7 +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 72a cosh(-------) + 72a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (204a cosh(-------) - 204a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 192a cosh(-------) + 192a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 60a cosh(-------) - 60a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 3 +--R (12a cosh(-------) - 12a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 36a cosh(-------) + 36a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (36a cosh(-------) - 36a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 12a cosh(-------) + 12a cosh(-------) +--R 2 2 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (- 180a cosh(-------) + 180a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (660a cosh(-------) - 660a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 900a cosh(-------) + 900a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (540a cosh(-------) - 540a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 120a cosh(-------) + 120a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 4 +--R (72a cosh(-------) - 72a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 276a cosh(-------) + 276a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (396a cosh(-------) - 396a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 252a cosh(-------) + 252a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 60a cosh(-------) - 60a cosh(-------) +--R 2 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (- 240a cosh(-------) + 240a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (1080a cosh(-------) - 1080a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 1920a cosh(-------) + 1920a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (1680a cosh(-------) - 1680a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 720a cosh(-------) + 720a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 120a cosh(-------) - 120a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 5 +--R (180a cosh(-------) - 180a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 840a cosh(-------) + 840a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (1560a cosh(-------) - 1560a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 1440a cosh(-------) + 1440a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (660a cosh(-------) - 660a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 120a cosh(-------) + 120a cosh(-------) +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R d x + c 2 6 +--R (- 180a cosh(-------) + 180a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (960a cosh(-------) - 960a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 2100a cosh(-------) + 2100a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (2400a cosh(-------) - 2400a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 1500a cosh(-------) + 1500a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (480a cosh(-------) - 480a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 60a cosh(-------) + 60a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 6 +--R (240a cosh(-------) - 240a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 1320a cosh(-------) + 1320a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (3000a cosh(-------) - 3000a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 3600a cosh(-------) + 3600a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (2400a cosh(-------) - 2400a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 840a cosh(-------) + 840a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 120a cosh(-------) - 120a cosh(-------) +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 7 +--R (- 72a cosh(-------) + 72a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (444a cosh(-------) - 444a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 1152a cosh(-------) + 1152a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (1620a cosh(-------) - 1620a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 1320a cosh(-------) + 1320a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (612a cosh(-------) - 612a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 144a cosh(-------) + 144a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 12a cosh(-------) - 12a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 7 +--R (180a cosh(-------) - 180a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 6 +--R (- 1140a cosh(-------) + 1140a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (3060a cosh(-------) - 3060a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 4500a cosh(-------) + 4500a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (3900a cosh(-------) - 3900a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 1980a cosh(-------) + 1980a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (540a cosh(-------) - 540a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 60a cosh(-------) + 60a cosh(-------) +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 8 +--R (- 12a cosh(-------) + 12a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (84a cosh(-------) - 84a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 252a cosh(-------) + 252a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (420a cosh(-------) - 420a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 420a cosh(-------) + 420a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (252a cosh(-------) - 252a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 84a cosh(-------) + 84a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (12a cosh(-------) - 12a)cosh(d x + c) +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 8 +--R (72a cosh(-------) - 72a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 7 +--R (- 516a cosh(-------) + 516a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 6 +--R (1596a cosh(-------) - 1596a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 2772a cosh(-------) + 2772a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (2940a cosh(-------) - 2940a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 1932a cosh(-------) + 1932a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (756a cosh(-------) - 756a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 156a cosh(-------) + 156a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 12a cosh(-------) - 12a cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 3 d x + c 9 +--R (12a cosh(-------) - 12a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 8 +--R (- 96a cosh(-------) + 96a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 7 +--R (336a cosh(-------) - 336a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 6 +--R (- 672a cosh(-------) + 672a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (840a cosh(-------) - 840a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 672a cosh(-------) + 672a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (336a cosh(-------) - 336a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 96a cosh(-------) + 96a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (12a cosh(-------) - 12a cosh(-------))cosh(d x + c) +--R 2 2 +--R * +--R d x + c +--R atanh(cosh(-------)) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (36a cosh(-------) - 36a)cosh(d x + c) - 116a cosh(-------) +--R 2 2 +--R + +--R 116a +--R * +--R 8 +--R sinh(d x + c) +--R + +--R d x + c 2 2 +--R (216a cosh(-------) - 216a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 876a cosh(-------) + 876a)cosh(d x + c) + 580a cosh(-------) +--R 2 2 +--R + +--R - 580a +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 3 2 +--R - 12a cosh(d x + c) + 36a cosh(d x + c) - 36a cosh(d x + c) +--R + +--R 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 3 +--R (516a cosh(-------) - 516a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 2560a cosh(-------) + 2560a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (3204a cosh(-------) - 3204a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R - 1160a cosh(-------) + 1160a +--R 2 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 4 3 +--R - 72a cosh(d x + c) + 276a cosh(d x + c) +--R + +--R 2 +--R - 396a cosh(d x + c) + 252a cosh(d x + c) - 60a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 4 +--R (576a cosh(-------) - 576a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 3520a cosh(-------) + 3520a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (6504a cosh(-------) - 6504a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 4720a cosh(-------) + 4720a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 1160a cosh(-------) - 1160a +--R 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 5 4 +--R - 180a cosh(d x + c) + 840a cosh(d x + c) +--R + +--R 3 2 +--R - 1560a cosh(d x + c) + 1440a cosh(d x + c) +--R + +--R - 660a cosh(d x + c) + 120a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 5 +--R (180a cosh(-------) - 180a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 1740a cosh(-------) + 1740a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (4880a cosh(-------) - 4880a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 5840a cosh(-------) + 5840a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (3100a cosh(-------) - 3100a)cosh(d x + c) - 580a cosh(-------) +--R 2 2 +--R + +--R 580a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 5 +--R - 240a cosh(d x + c) + 1320a cosh(d x + c) +--R + +--R 4 3 +--R - 3000a cosh(d x + c) + 3600a cosh(d x + c) +--R + +--R 2 +--R - 2400a cosh(d x + c) + 840a cosh(d x + c) - 120a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 6 +--R (- 264a cosh(-------) + 264a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (1204a cosh(-------) - 1204a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 1740a cosh(-------) + 1740a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (520a cosh(-------) - 520a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (800a cosh(-------) - 800a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 636a cosh(-------) + 636a)cosh(d x + c) + 116a cosh(-------) +--R 2 2 +--R + +--R - 116a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 7 6 +--R - 180a cosh(d x + c) + 1140a cosh(d x + c) +--R + +--R 5 4 +--R - 3060a cosh(d x + c) + 4500a cosh(d x + c) +--R + +--R 3 2 +--R - 3900a cosh(d x + c) + 1980a cosh(d x + c) +--R + +--R - 540a cosh(d x + c) + 60a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 7 +--R (- 324a cosh(-------) + 324a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (2104a cosh(-------) - 2104a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 5340a cosh(-------) + 5340a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (6800a cosh(-------) - 6800a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 4540a cosh(-------) + 4540a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (1464a cosh(-------) - 1464a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 164a cosh(-------) + 164a)cosh(d x + c) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 7 +--R - 72a cosh(d x + c) + 516a cosh(d x + c) +--R + +--R 6 5 +--R - 1596a cosh(d x + c) + 2772a cosh(d x + c) +--R + +--R 4 3 +--R - 2940a cosh(d x + c) + 1932a cosh(d x + c) +--R + +--R 2 +--R - 756a cosh(d x + c) + 156a cosh(d x + c) - 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 8 +--R (- 144a cosh(-------) + 144a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (1080a cosh(-------) - 1080a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 3296a cosh(-------) + 3296a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (5320a cosh(-------) - 5320a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 4880a cosh(-------) + 4880a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (2504a cosh(-------) - 2504a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 640a cosh(-------) + 640a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (56a cosh(-------) - 56a)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 9 8 7 +--R - 12a cosh(d x + c) + 96a cosh(d x + c) - 336a cosh(d x + c) +--R + +--R 6 5 4 +--R 672a cosh(d x + c) - 840a cosh(d x + c) + 672a cosh(d x + c) +--R + +--R 3 2 +--R - 336a cosh(d x + c) + 96a cosh(d x + c) - 12a cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 9 +--R (- 24a cosh(-------) + 24a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 8 +--R (200a cosh(-------) - 200a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (- 696a cosh(-------) + 696a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (1320a cosh(-------) - 1320a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 1480a cosh(-------) + 1480a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (984a cosh(-------) - 984a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 360a cosh(-------) + 360a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (56a cosh(-------) - 56a)cosh(d x + c) +--R 2 +--R * +--R +---------------------------------+ +--R | a +--R |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R d x + c 2 3 +--R (512a cosh(-------) - 512a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 1536a cosh(-------) + 1536a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (1536a cosh(-------) - 1536a)cosh(d x + c) - 512a cosh(-------) +--R 2 2 +--R + +--R 512a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (1536a cosh(-------) - 1536a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 4608a cosh(-------) + 4608a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (4608a cosh(-------) - 4608a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 1536a cosh(-------) + 1536a)cosh(d x + c) +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (1536a cosh(-------) - 1536a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 4608a cosh(-------) + 4608a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (4608a cosh(-------) - 4608a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 1536a cosh(-------) + 1536a)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 2 6 +--R (512a cosh(-------) - 512a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 1536a cosh(-------) + 1536a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (1536a cosh(-------) - 1536a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 512a cosh(-------) + 512a)cosh(d x + c) +--R 2 +--R * +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R + +--R d x + c 2 2 +--R (3a cosh(-------) - 3a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 6a cosh(-------) + 6a)cosh(d x + c) + 3a cosh(-------) - 3a +--R 2 2 +--R * +--R d x + c 7 +--R sinh(-------)sinh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (18a cosh(-------) - 18a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 48a cosh(-------) + 48a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (42a cosh(-------) - 42a)cosh(d x + c) - 12a cosh(-------) +--R 2 2 +--R + +--R 12a +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 3a cosh(-------) + 3a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (9a cosh(-------) - 9a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 9a cosh(-------) + 9a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 3a cosh(-------) - 3a cosh(-------) +--R 2 2 +--R * +--R 6 +--R sinh(d x + c) +--R + +--R d x + c 2 4 +--R (45a cosh(-------) - 45a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 150a cosh(-------) + 150a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (180a cosh(-------) - 180a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 90a cosh(-------) + 90a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 15a cosh(-------) - 15a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 18a cosh(-------) + 18a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (66a cosh(-------) - 66a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 90a cosh(-------) + 90a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (54a cosh(-------) - 54a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 12a cosh(-------) + 12a cosh(-------) +--R 2 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R d x + c 2 5 +--R (60a cosh(-------) - 60a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 240a cosh(-------) + 240a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (360a cosh(-------) - 360a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 240a cosh(-------) + 240a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (60a cosh(-------) - 60a)cosh(d x + c) +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 45a cosh(-------) + 45a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (195a cosh(-------) - 195a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 330a cosh(-------) + 330a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (270a cosh(-------) - 270a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 105a cosh(-------) + 105a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 15a cosh(-------) - 15a cosh(-------) +--R 2 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R d x + c 2 6 +--R (45a cosh(-------) - 45a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 210a cosh(-------) + 210a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (375a cosh(-------) - 375a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 300a cosh(-------) + 300a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (75a cosh(-------) - 75a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (30a cosh(-------) - 30a)cosh(d x + c) - 15a cosh(-------) +--R 2 2 +--R + +--R 15a +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 6 +--R (- 60a cosh(-------) + 60a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (300a cosh(-------) - 300a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 600a cosh(-------) + 600a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (600a cosh(-------) - 600a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 300a cosh(-------) + 300a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (60a cosh(-------) - 60a cosh(-------))cosh(d x + c) +--R 2 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R d x + c 2 7 +--R (18a cosh(-------) - 18a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 96a cosh(-------) + 96a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (198a cosh(-------) - 198a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 180a cosh(-------) + 180a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (30a cosh(-------) - 30a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (72a cosh(-------) - 72a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 54a cosh(-------) + 54a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R 12a cosh(-------) - 12a +--R 2 +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 7 +--R (- 45a cosh(-------) + 45a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 6 +--R (255a cosh(-------) - 255a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 585a cosh(-------) + 585a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (675a cosh(-------) - 675a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 375a cosh(-------) + 375a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (45a cosh(-------) - 45a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (45a cosh(-------) - 45a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 15a cosh(-------) + 15a cosh(-------) +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R d x + c 2 8 +--R (3a cosh(-------) - 3a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (- 18a cosh(-------) + 18a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (42a cosh(-------) - 42a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 42a cosh(-------) + 42a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (42a cosh(-------) - 42a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 42a cosh(-------) + 42a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (18a cosh(-------) - 18a)cosh(d x + c) - 3a cosh(-------) +--R 2 2 +--R + +--R 3a +--R * +--R d x + c +--R sinh(-------) +--R 2 +--R + +--R d x + c 3 d x + c 8 +--R (- 18a cosh(-------) + 18a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 7 +--R (114a cosh(-------) - 114a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 6 +--R (- 294a cosh(-------) + 294a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (378a cosh(-------) - 378a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 210a cosh(-------) + 210a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (- 42a cosh(-------) + 42a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (126a cosh(-------) - 126a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (- 66a cosh(-------) + 66a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R 12a cosh(-------) - 12a cosh(-------) +--R 2 2 +--R * +--R sinh(d x + c) +--R + +--R d x + c 3 d x + c 9 +--R (- 3a cosh(-------) + 3a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 8 +--R (21a cosh(-------) - 21a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 7 +--R (- 60a cosh(-------) + 60a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 6 +--R (84a cosh(-------) - 84a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 5 +--R (- 42a cosh(-------) + 42a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 4 +--R (- 42a cosh(-------) + 42a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 3 +--R (84a cosh(-------) - 84a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c 2 +--R (- 60a cosh(-------) + 60a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R (21a cosh(-------) - 21a cosh(-------))cosh(d x + c) +--R 2 2 +--R + +--R d x + c 3 d x + c +--R - 3a cosh(-------) + 3a cosh(-------) +--R 2 2 +--R * +--R +----+ d x + c +--R \|- 2a atanh(cosh(-------)) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 9a cosh(-------) + 9a)cosh(d x + c) + 29a cosh(-------) +--R 2 2 +--R + +--R - 29a +--R * +--R 8 +--R sinh(d x + c) +--R + +--R d x + c 2 2 +--R (- 54a cosh(-------) + 54a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (210a cosh(-------) - 210a)cosh(d x + c) - 116a cosh(-------) +--R 2 2 +--R + +--R 116a +--R * +--R 7 +--R sinh(d x + c) +--R + +--R 3 2 +--R (3a cosh(d x + c) - 9a cosh(d x + c) + 9a cosh(d x + c) - 3a) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 3 +--R (- 129a cosh(-------) + 129a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (595a cosh(-------) - 595a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 611a cosh(-------) + 611a)cosh(d x + c) + 145a cosh(-------) +--R 2 2 +--R + +--R - 145a +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 4 3 2 +--R 18a cosh(d x + c) - 66a cosh(d x + c) + 90a cosh(d x + c) +--R + +--R - 54a cosh(d x + c) + 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 4 +--R (- 144a cosh(-------) + 144a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (796a cosh(-------) - 796a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 1176a cosh(-------) + 1176a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (524a cosh(-------) - 524a)cosh(d x + c) +--R 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 5 4 +--R 45a cosh(d x + c) - 195a cosh(d x + c) +--R + +--R 3 2 +--R 330a cosh(d x + c) - 270a cosh(d x + c) +--R + +--R 105a cosh(d x + c) - 15a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 5 +--R (- 45a cosh(-------) + 45a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (375a cosh(-------) - 375a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 790a cosh(-------) + 790a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (490a cosh(-------) - 490a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (115a cosh(-------) - 115a)cosh(d x + c) - 145a cosh(-------) +--R 2 2 +--R + +--R 145a +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 6 5 +--R 60a cosh(d x + c) - 300a cosh(d x + c) +--R + +--R 4 3 +--R 600a cosh(d x + c) - 600a cosh(d x + c) +--R + +--R 2 +--R 300a cosh(d x + c) - 60a cosh(d x + c) +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 6 +--R (66a cosh(-------) - 66a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 286a cosh(-------) + 286a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (440a cosh(-------) - 440a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 380a cosh(-------) + 380a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (370a cosh(-------) - 370a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (- 326a cosh(-------) + 326a)cosh(d x + c) + 116a cosh(-------) +--R 2 2 +--R + +--R - 116a +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 7 6 +--R 45a cosh(d x + c) - 255a cosh(d x + c) +--R + +--R 5 4 +--R 585a cosh(d x + c) - 675a cosh(d x + c) +--R + +--R 3 2 +--R 375a cosh(d x + c) - 45a cosh(d x + c) - 45a cosh(d x + c) +--R + +--R 15a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 7 +--R (81a cosh(-------) - 81a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 475a cosh(-------) + 475a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (1029a cosh(-------) - 1029a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (- 1015a cosh(-------) + 1015a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (435a cosh(-------) - 435a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 81a cosh(-------) + 81a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 d x + c 2 +--R (55a cosh(-------) - 55a)cosh(d x + c) - 29a cosh(-------) + 29a +--R 2 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 8 7 +--R 18a cosh(d x + c) - 114a cosh(d x + c) +--R + +--R 6 5 +--R 294a cosh(d x + c) - 378a cosh(d x + c) +--R + +--R 4 3 +--R 210a cosh(d x + c) + 42a cosh(d x + c) +--R + +--R 2 +--R - 126a cosh(d x + c) + 66a cosh(d x + c) - 12a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 8 +--R (36a cosh(-------) - 36a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (- 240a cosh(-------) + 240a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (604a cosh(-------) - 604a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (- 680a cosh(-------) + 680a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (220a cosh(-------) - 220a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (224a cosh(-------) - 224a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (- 220a cosh(-------) + 220a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (56a cosh(-------) - 56a)cosh(d x + c) +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 9 8 7 +--R 3a cosh(d x + c) - 21a cosh(d x + c) + 60a cosh(d x + c) +--R + +--R 6 5 4 +--R - 84a cosh(d x + c) + 42a cosh(d x + c) + 42a cosh(d x + c) +--R + +--R 3 2 +--R - 84a cosh(d x + c) + 60a cosh(d x + c) - 21a cosh(d x + c) + 3a +--R * +--R d x + c 2 +--R sinh(-------) +--R 2 +--R + +--R d x + c 2 9 +--R (6a cosh(-------) - 6a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 8 +--R (- 44a cosh(-------) + 44a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 7 +--R (124a cosh(-------) - 124a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 6 +--R (- 156a cosh(-------) + 156a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 5 +--R (40a cosh(-------) - 40a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 4 +--R (124a cosh(-------) - 124a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 3 +--R (- 156a cosh(-------) + 156a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 2 +--R (76a cosh(-------) - 76a)cosh(d x + c) +--R 2 +--R + +--R d x + c 2 +--R (- 14a cosh(-------) + 14a)cosh(d x + c) +--R 2 +--R * +--R +----+ +--R \|- 2a +--R / +--R 3 d x + c 2 3 3 +--R (128a cosh(-------) - 128a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 384a cosh(-------) + 384a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 d x + c 2 +--R (384a cosh(-------) - 384a )cosh(d x + c) - 128a cosh(-------) +--R 2 2 +--R + +--R 3 +--R 128a +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 4 +--R (768a cosh(-------) - 768a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (- 2944a cosh(-------) + 2944a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (4224a cosh(-------) - 4224a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (- 2688a cosh(-------) + 2688a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R 640a cosh(-------) - 640a +--R 2 +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 5 +--R (1920a cosh(-------) - 1920a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (- 8960a cosh(-------) + 8960a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (16640a cosh(-------) - 16640a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 15360a cosh(-------) + 15360a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (7040a cosh(-------) - 7040a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R - 1280a cosh(-------) + 1280a +--R 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 6 +--R (2560a cosh(-------) - 2560a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (- 14080a cosh(-------) + 14080a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (32000a cosh(-------) - 32000a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (- 38400a cosh(-------) + 38400a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (25600a cosh(-------) - 25600a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (- 8960a cosh(-------) + 8960a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R 1280a cosh(-------) - 1280a +--R 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 7 +--R (1920a cosh(-------) - 1920a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 6 +--R (- 12160a cosh(-------) + 12160a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (32640a cosh(-------) - 32640a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (- 48000a cosh(-------) + 48000a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (41600a cosh(-------) - 41600a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 21120a cosh(-------) + 21120a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (5760a cosh(-------) - 5760a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R - 640a cosh(-------) + 640a +--R 2 +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 8 +--R (768a cosh(-------) - 768a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 7 +--R (- 5504a cosh(-------) + 5504a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 6 +--R (17024a cosh(-------) - 17024a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (- 29568a cosh(-------) + 29568a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (31360a cosh(-------) - 31360a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (- 20608a cosh(-------) + 20608a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (8064a cosh(-------) - 8064a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (- 1664a cosh(-------) + 1664a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R 128a cosh(-------) - 128a +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 9 +--R (128a cosh(-------) - 128a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 8 +--R (- 1024a cosh(-------) + 1024a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 7 +--R (3584a cosh(-------) - 3584a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 6 +--R (- 7168a cosh(-------) + 7168a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (8960a cosh(-------) - 8960a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (- 7168a cosh(-------) + 7168a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (3584a cosh(-------) - 3584a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 1024a cosh(-------) + 1024a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (128a cosh(-------) - 128a )cosh(d x + c) +--R 2 +--R * +--R +---------------------------------+ +--R +---------------------+ | a +--R \|- a cosh(d x + c) + a |- ------------------------------- +--R \| 2sinh(d x + c) + 2cosh(d x + c) +--R + +--R 3 d x + c 2 3 3 +--R (- 32a cosh(-------) + 32a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (96a cosh(-------) - 96a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 d x + c 2 +--R (- 96a cosh(-------) + 96a )cosh(d x + c) + 32a cosh(-------) +--R 2 2 +--R + +--R 3 +--R - 32a +--R * +--R 6 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 4 +--R (- 192a cosh(-------) + 192a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (704a cosh(-------) - 704a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 960a cosh(-------) + 960a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 d x + c 2 +--R (576a cosh(-------) - 576a )cosh(d x + c) - 128a cosh(-------) +--R 2 2 +--R + +--R 3 +--R 128a +--R * +--R 5 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 5 +--R (- 480a cosh(-------) + 480a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (2080a cosh(-------) - 2080a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (- 3520a cosh(-------) + 3520a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (2880a cosh(-------) - 2880a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (- 1120a cosh(-------) + 1120a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R 160a cosh(-------) - 160a +--R 2 +--R * +--R 4 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 6 +--R (- 640a cosh(-------) + 640a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (3200a cosh(-------) - 3200a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (- 6400a cosh(-------) + 6400a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (6400a cosh(-------) - 6400a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 3200a cosh(-------) + 3200a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (640a cosh(-------) - 640a )cosh(d x + c) +--R 2 +--R * +--R 3 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 7 +--R (- 480a cosh(-------) + 480a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 6 +--R (2720a cosh(-------) - 2720a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (- 6240a cosh(-------) + 6240a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (7200a cosh(-------) - 7200a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (- 4000a cosh(-------) + 4000a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (480a cosh(-------) - 480a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 d x + c 2 +--R (480a cosh(-------) - 480a )cosh(d x + c) - 160a cosh(-------) +--R 2 2 +--R + +--R 3 +--R 160a +--R * +--R 2 +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 8 +--R (- 192a cosh(-------) + 192a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 7 +--R (1216a cosh(-------) - 1216a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 6 +--R (- 3136a cosh(-------) + 3136a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (4032a cosh(-------) - 4032a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (- 2240a cosh(-------) + 2240a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (- 448a cosh(-------) + 448a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (1344a cosh(-------) - 1344a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R (- 704a cosh(-------) + 704a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 +--R 128a cosh(-------) - 128a +--R 2 +--R * +--R sinh(d x + c) +--R + +--R 3 d x + c 2 3 9 +--R (- 32a cosh(-------) + 32a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 8 +--R (224a cosh(-------) - 224a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 7 +--R (- 640a cosh(-------) + 640a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 6 +--R (896a cosh(-------) - 896a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 5 +--R (- 448a cosh(-------) + 448a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 4 +--R (- 448a cosh(-------) + 448a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 +--R (896a cosh(-------) - 896a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 2 +--R (- 640a cosh(-------) + 640a )cosh(d x + c) +--R 2 +--R + +--R 3 d x + c 2 3 3 d x + c 2 3 +--R (224a cosh(-------) - 224a )cosh(d x + c) - 32a cosh(-------) + 32a +--R 2 2 +--R * +--R +----+ +---------------------+ +--R \|- 2a \|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 369 + +--S 370 of 510 +t0173:= (b*cosh(c+d*x))^(1/2) +--R +--R +--R +---------------+ +--R (235) \|b cosh(d x + c) +--R Type: Expression Integer +--E 370 + +--S 371 of 510 +r0173:= -2*%i*(b*cosh(c+d*x))^(1/2)*EllipticE(1/2*%i*(c+d*x),2)/d/_ + cosh(c+d*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 371 + +--S 372 of 510 +a0173:= integrate(t0173,x) +--R +--R +--R x +--R ++ +----------------+ +--R (236) | \|b cosh(%I d + c) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 372 + +--S 373 of 510 +--m0173:= a0173-r0173 +--E 373 + +--S 374 of 510 +--d0173:= D(m0173,x) +--E 374 + +--S 375 of 510 +t0174:= (b*cosh(c+d*x))^(3/2) +--R +--R +--R +---------------+ +--R (237) b cosh(d x + c)\|b cosh(d x + c) +--R Type: Expression Integer +--E 375 + +--S 376 of 510 +r0174:= 2/3*b^2*(-%i*cosh(c+d*x)^(1/2)*EllipticF(1/2*%i*(c+d*x),2)+_ + cosh(c+d*x)*sinh(c+d*x))/d/(b*cosh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 376 + +--S 377 of 510 +a0174:= integrate(t0174,x) +--R +--R +--R x +--R ++ +----------------+ +--R (238) | b cosh(%I d + c)\|b cosh(%I d + c) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 377 + +--S 378 of 510 +--m0174:= a0174-r0174 +--E 378 + +--S 379 of 510 +--d0174:= D(m0174,x) +--E 379 + +--S 380 of 510 +t0175:= (b*cosh(c+d*x))^(5/2) +--R +--R +--R 2 2 +---------------+ +--R (239) b cosh(d x + c) \|b cosh(d x + c) +--R Type: Expression Integer +--E 380 + +--S 381 of 510 +r0175:= 2/5*b^2*(b*cosh(c+d*x))^(1/2)*(-3*%i*EllipticE(1/2*%i*(c+d*x),2)+_ + cosh(c+d*x)^(3/2)*sinh(c+d*x))/d/cosh(c+d*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 381 + +--S 382 of 510 +a0175:= integrate(t0175,x) +--R +--R +--R x +--R ++ 2 2 +----------------+ +--R (240) | b cosh(%I d + c) \|b cosh(%I d + c) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 382 + +--S 383 of 510 +--m0175:= a0175-r0175 +--E 383 + +--S 384 of 510 +--d0175:= D(m0175,x) +--E 384 + +--S 385 of 510 +t0176:= 1/(b*cosh(c+d*x))^(1/2) +--R +--R +--R 1 +--R (241) ------------------ +--R +---------------+ +--R \|b cosh(d x + c) +--R Type: Expression Integer +--E 385 + +--S 386 of 510 +r0176:= -2*%i*cosh(c+d*x)^(1/2)*EllipticF(1/2*%i*(c+d*x),2)/d/_ + (b*cosh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 386 + +--S 387 of 510 +a0176:= integrate(t0176,x) +--R +--R +--R x +--R ++ 1 +--R (242) | ------------------- d%I +--R ++ +----------------+ +--R \|b cosh(%I d + c) +--R Type: Union(Expression Integer,...) +--E 387 + +--S 388 of 510 +--m0176:= a0176-r0176 +--E 388 + +--S 389 of 510 +--d0176:= D(m0176,x) +--E 389 + +--S 390 of 510 +t0177:= 1/(b*cosh(c+d*x))^(3/2) +--R +--R +--R 1 +--R (243) --------------------------------- +--R +---------------+ +--R b cosh(d x + c)\|b cosh(d x + c) +--R Type: Expression Integer +--E 390 + +--S 391 of 510 +r0177:= 2/b*(%i*cosh(c+d*x)*EllipticE(1/2*%i*(c+d*x),2)+sinh(c+d*x)*_ + cosh(c+d*x)^(1/2))/d/cosh(c+d*x)^(1/2)/(b*cosh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 391 + +--S 392 of 510 +a0177:= integrate(t0177,x) +--R +--R +--R x +--R ++ 1 +--R (244) | ----------------------------------- d%I +--R ++ +----------------+ +--R b cosh(%I d + c)\|b cosh(%I d + c) +--R Type: Union(Expression Integer,...) +--E 392 + +--S 393 of 510 +--m0177:= a0177-r0177 +--E 393 + +--S 394 of 510 +--d0177:= D(m0177,x) +--E 394 + +--S 395 of 510 +t0178:= 1/(b*cosh(c+d*x))^(5/2) +--R +--R +--R 1 +--R (245) ---------------------------------- +--R 2 2 +---------------+ +--R b cosh(d x + c) \|b cosh(d x + c) +--R Type: Expression Integer +--E 395 + +--S 396 of 510 +r0178:= -2/3/b^2*(%i*cosh(c+d*x)^(3/2)*EllipticF(1/2*%i*(c+d*x),2)-_ + sinh(c+d*x))/d/cosh(c+d*x)/(b*cosh(c+d*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 396 + +--S 397 of 510 +a0178:= integrate(t0178,x) +--R +--R +--R x +--R ++ 1 +--R (246) | ------------------------------------ d%I +--R ++ 2 2 +----------------+ +--R b cosh(%I d + c) \|b cosh(%I d + c) +--R Type: Union(Expression Integer,...) +--E 397 + +--S 398 of 510 +--m0178:= a0178-r0178 +--E 398 + +--S 399 of 510 +--d0178:= D(m0178,x) +--E 399 + +--S 400 of 510 +t0179:= x^2/(a+b*cosh(x)) +--R +--R +--R 2 +--R x +--R (247) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 400 + +--S 401 of 510 +r0179:= (x^2*log(-(a-(a^2-b^2)^(1/2)+b*exp(x))/(-a+(a^2-b^2)^(1/2)))-_ + x^2*log((a+(a^2-b^2)^(1/2)+b*exp(x))/(a+(a^2-b^2)^(1/2)))+_ + 2*x*polylog(2,b*exp(x)/(-a+(a^2-b^2)^(1/2)))-_ + 2*x*polylog(2,-b*exp(x)/(a+(a^2-b^2)^(1/2)))-_ + 2*polylog(3,b*exp(x)/(-a+(a^2-b^2)^(1/2)))+_ + 2*polylog(3,-b*exp(x)/(a+(a^2-b^2)^(1/2))))/(a^2-b^2)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 401 + +--S 402 of 510 +a0179:= integrate(t0179,x) +--R +--R +--R x 2 +--R ++ %I +--R (248) | -------------- d%I +--R ++ b cosh(%I) + a +--R Type: Union(Expression Integer,...) +--E 402 + +--S 403 of 510 +--m0179:= a0179-r0179 +--E 403 + +--S 404 of 510 +--d0179:= D(m0179,x) +--E 404 + +--S 405 of 510 +t0180:= x^3/(a+b*cosh(x)) +--R +--R +--R 3 +--R x +--R (249) ------------- +--R b cosh(x) + a +--R Type: Expression Integer +--E 405 + +--S 406 of 510 +r0180:= (x^3*log(-(a-(a^2-b^2)^(1/2)+b*exp(x))/(-a+(a^2-b^2)^(1/2)))-_ + x^3*log((a+(a^2-b^2)^(1/2)+b*exp(x))/(a+(a^2-b^2)^(1/2)))+_ + 3*x^2*polylog(2,b*exp(x)/(-a+(a^2-b^2)^(1/2)))-_ + 3*x^2*polylog(2,-b*exp(x)/(a+(a^2-b^2)^(1/2)))-_ + 6*x*polylog(3,b*exp(x)/(-a+(a^2-b^2)^(1/2)))+_ + 6*x*polylog(3,-b*exp(x)/(a+(a^2-b^2)^(1/2)))+_ + 6*polylog(4,b*exp(x)/(-a+(a^2-b^2)^(1/2)))-_ + 6*polylog(4,-b*exp(x)/(a+(a^2-b^2)^(1/2))))/(a^2-b^2)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 406 + +--S 407 of 510 +a0180:= integrate(t0180,x) +--R +--R +--R x 3 +--R ++ %I +--R (250) | -------------- d%I +--R ++ b cosh(%I) + a +--R Type: Union(Expression Integer,...) +--E 407 + +--S 408 of 510 +--m0180:= a0180-r0180 +--E 408 + +--S 409 of 510 +--d0180:= D(m0180,x) +--E 409 + +--S 410 of 510 +t0181:= x/(a+b*cosh(x))^2 +--R +--R +--R x +--R (251) ------------------------------ +--R 2 2 2 +--R b cosh(x) + 2a b cosh(x) + a +--R Type: Expression Integer +--E 410 + +--S 411 of 510 +r0181:= a*x*log(1+b*exp(x)/(a-(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)-_ + a*x*log(1+b*exp(x)/(a+(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)+_ + log(a+b*cosh(x))/(a^2-b^2)+a*polylog(2,-b*exp(x)/_ + (a-(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)-a*polylog(2,-b*exp(x)/_ + (a+(a^2-b^2)^(1/2)))/(a^2-b^2)^(3/2)-b*x*sinh(x)/_ + (a^2-b^2)/(a+b*cosh(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 411 + +--S 412 of 510 +a0181:= integrate(t0181,x) +--R +--R +--R x +--R ++ %I +--R (252) | -------------------------------- d%I +--R ++ 2 2 2 +--R b cosh(%I) + 2a b cosh(%I) + a +--R Type: Union(Expression Integer,...) +--E 412 + +--S 413 of 510 +--m0181:= a0181-r0181 +--E 413 + +--S 414 of 510 +--d0181:= D(m0181,x) +--E 414 + +--S 415 of 510 +t0182:= x*(a+a*cosh(c+d*x))^(1/2) +--R +--R +--R +-------------------+ +--R (253) x\|a cosh(d x + c) + a +--R Type: Expression Integer +--E 415 + +--S 416 of 510 +r0182:= -2*2^(1/2)*(a*cosh(1/2*c+1/2*d*x)^2)^(1/2)*_ + sech(1/2*c+1/2*d*x)*(2*cosh(1/2*c+1/2*d*x)-_ + d*x*sinh(1/2*c+1/2*d*x))/d^2 +--R +--R +--R (254) +--R +-+ d x + c d x + c +-+ d x + c d x + c +--R (2d x\|2 sech(-------)sinh(-------) - 4\|2 cosh(-------)sech(-------)) +--R 2 2 2 2 +--R * +--R +----------------+ +--R | d x + c 2 +--R |a cosh(-------) +--R \| 2 +--R / +--R 2 +--R d +--R Type: Expression Integer +--E 416 + +--S 417 of 510 +a0182:= integrate(t0182,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 417 + +--S 418 of 510 +--m0182:= a0182-r0182 +--E 418 + +--S 419 of 510 +--d0182:= D(m0182,x) +--E 419 + +--S 420 of 510 +t0183:= x^2*(a+a*cosh(c+d*x))^(1/2) +--R +--R +--R 2 +-------------------+ +--R (255) x \|a cosh(d x + c) + a +--R Type: Expression Integer +--E 420 + +--S 421 of 510 +r0183:= -2*2^(1/2)*(a*cosh(1/2*c+1/2*d*x)^2)^(1/2)*_ + sech(1/2*c+1/2*d*x)*(4*d*x*cosh(1/2*c+1/2*d*x)-_ + (8+d^2*x^2)*sinh(1/2*c+1/2*d*x))/d^3 +--R +--R +--R (256) +--R 2 2 +-+ d x + c d x + c +--R (2d x + 16)\|2 sech(-------)sinh(-------) +--R 2 2 +--R + +--R +-+ d x + c d x + c +--R - 8d x\|2 cosh(-------)sech(-------) +--R 2 2 +--R * +--R +----------------+ +--R | d x + c 2 +--R |a cosh(-------) +--R \| 2 +--R / +--R 3 +--R d +--R Type: Expression Integer +--E 421 + +--S 422 of 510 +a0183:= integrate(t0183,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 422 + +--S 423 of 510 +--m0183:= a0183-r0183 +--E 423 + +--S 424 of 510 +--d0183:= D(m0183,x) +--E 424 + +--S 425 of 510 +t0184:= (a+a*cosh(c+d*x))^(1/2)/x +--R +--R +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R (257) ---------------------- +--R x +--R Type: Expression Integer +--E 425 + +--S 426 of 510 +r0184:= 2^(1/2)*(a*cosh(1/2*c+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/2*d*x)*_ + (cosh(1/2*c)*Chi(1/2*d*x)+sinh(1/2*c)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 426 + +--S 427 of 510 +a0184:= integrate(t0184,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 427 + +--S 428 of 510 +--m0184:= a0184-r0184 +--E 428 + +--S 429 of 510 +--d0184:= D(m0184,x) +--E 429 + +--S 430 of 510 +t0185:= (a+a*cosh(c+d*x))^(1/2)/x^2 +--R +--R +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R (258) ---------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 430 + +--S 431 of 510 +r0185:= -1/2*2^(1/2)*(a*cosh(1/2*c+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/2*d*x)*_ + (2*cosh(1/2*c+1/2*d*x)/x-d*Chi(1/2*d*x)*sinh(1/2*c)-d*cosh(1/2*c)*_ + Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 431 + +--S 432 of 510 +a0185:= integrate(t0185,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 432 + +--S 433 of 510 +--m0185:= a0185-r0185 +--E 433 + +--S 434 of 510 +--d0185:= D(m0185,x) +--E 434 + +--S 435 of 510 +t0186:= (a+a*cosh(c+d*x))^(1/2)/x^3 +--R +--R +--R +-------------------+ +--R \|a cosh(d x + c) + a +--R (259) ---------------------- +--R 3 +--R x +--R Type: Expression Integer +--E 435 + +--S 436 of 510 +r0186:= -1/8*2^(1/2)*(a*cosh(1/2*c+1/2*d*x)^2)^(1/2)*sech(1/2*c+1/2*d*x)*_ + (4*cosh(1/2*c+1/2*d*x)/x^2-d^2*cosh(1/2*c)*Chi(1/2*d*x)+_ + 2*d*sinh(1/2*c+1/2*d*x)/x-d^2*sinh(1/2*c)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 436 + +--S 437 of 510 +a0186:= integrate(t0186,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 437 + +--S 438 of 510 +--m0186:= a0186-r0186 +--E 438 + +--S 439 of 510 +--d0186:= D(m0186,x) +--E 439 + +--S 440 of 510 +t0187:= x*(a-a*cosh(c+d*x))^(1/2) +--R +--R +--R +---------------------+ +--R (260) x\|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 440 + +--S 441 of 510 +r0187:= 2*2^(1/2)*csch(1/2*c+1/2*d*x)*(d*x*cosh(1/2*c+1/2*d*x)-_ + 2*sinh(1/2*c+1/2*d*x))*(-a*sinh(1/2*c+1/2*d*x)^2)^(1/2)/d^2 +--R +--R +--R (261) +--R +-+ d x + c d x + c +-+ d x + c d x + c +--R (- 4\|2 csch(-------)sinh(-------) + 2d x\|2 cosh(-------)csch(-------)) +--R 2 2 2 2 +--R * +--R +------------------+ +--R | d x + c 2 +--R |- a sinh(-------) +--R \| 2 +--R / +--R 2 +--R d +--R Type: Expression Integer +--E 441 + +--S 442 of 510 +a0187:= integrate(t0187,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 442 + +--S 443 of 510 +--m0187:= a0187-r0187 +--E 443 + +--S 444 of 510 +--d0187:= D(m0187,x) +--E 444 + +--S 445 of 510 +t0188:= x^2*(a-a*cosh(c+d*x))^(1/2) +--R +--R +--R 2 +---------------------+ +--R (262) x \|- a cosh(d x + c) + a +--R Type: Expression Integer +--E 445 + +--S 446 of 510 +r0188:= 2*2^(1/2)*csch(1/2*c+1/2*d*x)*(8*cosh(1/2*c+1/2*d*x)+_ + d*x*(d*x*cosh(1/2*c+1/2*d*x)-_ + 4*sinh(1/2*c+1/2*d*x)))*(-a*sinh(1/2*c+1/2*d*x)^2)^(1/2)/d^3 +--R +--R +--R (263) +--R +-+ d x + c d x + c +--R - 8d x\|2 csch(-------)sinh(-------) +--R 2 2 +--R + +--R 2 2 +-+ d x + c d x + c +--R (2d x + 16)\|2 cosh(-------)csch(-------) +--R 2 2 +--R * +--R +------------------+ +--R | d x + c 2 +--R |- a sinh(-------) +--R \| 2 +--R / +--R 3 +--R d +--R Type: Expression Integer +--E 446 + +--S 447 of 510 +a0188:= integrate(t0188,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 447 + +--S 448 of 510 +--m0188:= a0188-r0188 +--E 448 + +--S 449 of 510 +--d0188:= D(m0188,x) +--E 449 + +--S 450 of 510 +t0189:= (a-a*cosh(c+d*x))^(1/2)/x +--R +--R +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R (264) ------------------------ +--R x +--R Type: Expression Integer +--E 450 + +--S 451 of 510 +r0189:= 2^(1/2)*csch(1/2*c+1/2*d*x)*(-a*sinh(1/2*c+1/2*d*x)^2)^(1/2)*_ + (Chi(1/2*d*x)*sinh(1/2*c)+cosh(1/2*c)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 451 + +--S 452 of 510 +a0189:= integrate(t0189,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 452 + +--S 453 of 510 +--m0189:= a0189-r0189 +--E 453 + +--S 454 of 510 +--d0189:= D(m0189,x) +--E 454 + +--S 455 of 510 +t0190:= (a-a*cosh(c+d*x))^(1/2)/x^2 +--R +--R +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R (265) ------------------------ +--R 2 +--R x +--R Type: Expression Integer +--E 455 + +--S 456 of 510 +r0190:= 1/2*2^(1/2)*csch(1/2*c+1/2*d*x)*(-a*sinh(1/2*c+1/2*d*x)^2)^(1/2)*_ + (d*cosh(1/2*c)*Chi(1/2*d*x)-2*sinh(1/2*c+_ + 1/2*d*x)/x+d*sinh(1/2*c)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 456 + +--S 457 of 510 +a0190:= integrate(t0190,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 457 + +--S 458 of 510 +--m0190:= a0190-r0190 +--E 458 + +--S 459 of 510 +--d0190:= D(m0190,x) +--E 459 + +--S 460 of 510 +t0191:= (a-a*cosh(c+d*x))^(1/2)/x^3 +--R +--R +--R +---------------------+ +--R \|- a cosh(d x + c) + a +--R (266) ------------------------ +--R 3 +--R x +--R Type: Expression Integer +--E 460 + +--S 461 of 510 +r0191:= -1/8*2^(1/2)*csch(1/2*c+1/2*d*x)*(-a*sinh(1/2*c+1/2*d*x)^2)^(1/2)*_ + (2*d*cosh(1/2*c+1/2*d*x)/x-d^2*Chi(1/2*d*x)*sinh(1/2*c)+_ + 4*sinh(1/2*c+1/2*d*x)/x^2-d^2*cosh(1/2*c)*Shi(1/2*d*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 461 + +--S 462 of 510 +a0191:= integrate(t0191,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 462 + +--S 463 of 510 +--m0191:= a0191-r0191 +--E 463 + +--S 464 of 510 +--d0191:= D(m0191,x) +--E 464 + +--S 465 of 510 +t0192:= 1/(a+b*cosh(x)^2) +--R +--R +--R 1 +--R (267) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 465 + +--S 466 of 510 +r0192:= atanh(a^(1/2)*tanh(x)/(a+b)^(1/2))/a^(1/2)/(a+b)^(1/2) +--R +--R +--R +-+ +--R tanh(x)\|a +--R atanh(-----------) +--R +-----+ +--R \|b + a +--R (268) ------------------ +--R +-+ +-----+ +--R \|a \|b + a +--R Type: Expression Integer +--E 466 + +--S 467 of 510 +a0192:= integrate(t0192,x) +--R +--R +--R (269) +--R [ +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R + +--R 2 2 2 2 2 +--R (- 4a b - 4a b)sinh(x) + (- 8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 4a b - 4a b)cosh(x) - 4a b - 12a b - 8a +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R / +--R +--------+ +--R | 2 +--R 2\|a b + a +--R , +--R +----------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a)\|- a b - a +--R atan(-------------------------------------------------------------------) +--R 2 +--R 2a b + 2a +--R - -------------------------------------------------------------------------] +--R +----------+ +--R | 2 +--R \|- a b - a +--R Type: Union(List Expression Integer,...) +--E 467 + +--S 468 of 510 +m0192a:= a0192.1-r0192 +--R +--R +--R (270) +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R + +--R 2 2 2 2 2 +--R (- 4a b - 4a b)sinh(x) + (- 8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 4a b - 4a b)cosh(x) - 4a b - 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +--------+ +-+ +--R | 2 tanh(x)\|a +--R - 2\|a b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R / +--R +--------+ +--R +-+ +-----+ | 2 +--R 2\|a \|b + a \|a b + a +--R Type: Expression Integer +--E 468 + +--S 469 of 510 +d0192a:= D(m0192a,x) +--R +--R +--R (271) +--R 4 3 2 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) - 2b)sinh(x) +--R + +--R 3 4 2 +--R (- 4b cosh(x) - 4b cosh(x))sinh(x) - b cosh(x) - 2b cosh(x) - b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) - 2b)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) - 4b cosh(x))sinh(x) + b cosh(x) - 2b cosh(x) + b +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (2a b + 4a )cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- b - a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 6a b)cosh(x) - 2b - 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 4a b)cosh(x) + (- 4b - 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - a b)cosh(x) + (- 2b - 6a b - 4a )cosh(x) - b - a b +--R Type: Expression Integer +--E 469 + +--S 470 of 510 +m0192b:= a0192.2-r0192 +--R +--R +--R (272) +--R +----------+ +-+ +--R | 2 tanh(x)\|a +--R - \|- a b - a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R - +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R atan +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a) +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R / +--R 2 +--R 2a b + 2a +--R / +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R Type: Expression Integer +--E 470 + +--S 471 of 510 +d0192b:= D(m0192b,x) +--R +--R +--R (273) +--R 4 3 2 2 +--R - b sinh(x) - 4b cosh(x)sinh(x) + (- 6b cosh(x) - 2b)sinh(x) +--R + +--R 3 4 2 +--R (- 4b cosh(x) - 4b cosh(x))sinh(x) - b cosh(x) - 2b cosh(x) - b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) - 2b)sinh(x) +--R + +--R 3 4 2 +--R (4b cosh(x) - 4b cosh(x))sinh(x) + b cosh(x) - 2b cosh(x) + b +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (2a b + 4a )cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- b - a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 6a b)cosh(x) - 2b - 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 4a b)cosh(x) + (- 4b - 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - a b)cosh(x) + (- 2b - 6a b - 4a )cosh(x) - b - a b +--R Type: Expression Integer +--E 471 + +--S 472 of 510 +t0193:= 1/(a+b*cosh(x)^2)^2 +--R +--R +--R 1 +--R (274) ------------------------------- +--R 2 4 2 2 +--R b cosh(x) + 2a b cosh(x) + a +--R Type: Expression Integer +--E 472 + +--S 473 of 510 +r0193:= 1/2*(2*a+b)*atanh(a^(1/2)*tanh(x)/(a+b)^(1/2))/a^(3/2)/(a+b)^(3/2)-_ + tanh(x)/a/(b+a*sech(x)^2)+1/2*(2*a+b)*tanh(x)/a/(a+b)/(b+a*sech(x)^2) +--R +--R +--R (275) +--R +-+ +--R 2 2 2 tanh(x)\|a +-+ +-----+ +--R ((a b + 2a )sech(x) + b + 2a b)atanh(-----------) - b tanh(x)\|a \|b + a +--R +-----+ +--R \|b + a +--R --------------------------------------------------------------------------- +--R 2 3 2 2 2 +-+ +-----+ +--R ((2a b + 2a )sech(x) + 2a b + 2a b)\|a \|b + a +--R Type: Expression Integer +--E 473 + +--S 474 of 510 +a0193:= integrate(t0193,x) +--R +--R +--R (276) +--R [ +--R 2 4 2 3 +--R (b + 2a b)sinh(x) + (4b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b + 12a b)cosh(x) + 2b + 8a b + 8a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b + 8a b)cosh(x) + (4b + 16a b + 16a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b + 2a b)cosh(x) + (2b + 8a b + 8a )cosh(x) + b + 2a b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R + +--R 2 2 2 2 2 +--R (- 4a b - 4a b)sinh(x) + (- 8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 4a b - 4a b)cosh(x) - 4a b - 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 2 +--R (4b + 8a)sinh(x) + (8b + 16a)cosh(x)sinh(x) + (4b + 8a)cosh(x) +--R + +--R 4b +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R / +--R 2 2 4 2 2 3 +--R (4a b + 4a b)sinh(x) + (16a b + 16a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((24a b + 24a b)cosh(x) + 8a b + 24a b + 16a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((16a b + 16a b)cosh(x) + (16a b + 48a b + 32a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 +--R (4a b + 4a b)cosh(x) + (8a b + 24a b + 16a )cosh(x) + 4a b + 4a b +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R , +--R +--R 2 4 2 3 +--R (- b - 2a b)sinh(x) + (- 4b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 12a b)cosh(x) - 2b - 8a b - 8a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 8a b)cosh(x) + (- 4b - 16a b - 16a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - 2a b)cosh(x) + (- 2b - 8a b - 8a )cosh(x) - b - 2a b +--R * +--R atan +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a) +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R / +--R 2 +--R 2a b + 2a +--R + +--R 2 2 +--R (2b + 4a)sinh(x) + (4b + 8a)cosh(x)sinh(x) + (2b + 4a)cosh(x) +--R + +--R 2b +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R / +--R 2 2 4 2 2 3 +--R (2a b + 2a b)sinh(x) + (8a b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((12a b + 12a b)cosh(x) + 4a b + 12a b + 8a )sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((8a b + 8a b)cosh(x) + (8a b + 24a b + 16a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 2 +--R (2a b + 2a b)cosh(x) + (4a b + 12a b + 8a )cosh(x) + 2a b + 2a b +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 474 + +--S 475 of 510 +m0193a:= a0193.1-r0193 +--R +--R +--R (277) +--R 2 2 2 3 2 4 +--R ((a b + 2a b)sech(x) + b + 2a b )sinh(x) +--R + +--R 2 2 2 3 2 3 +--R ((4a b + 8a b)cosh(x)sech(x) + (4b + 8a b )cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((6a b + 12a b)cosh(x) + 2a b + 8a b + 8a )sech(x) +--R + +--R 3 2 2 3 2 2 +--R (6b + 12a b )cosh(x) + 2b + 8a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 2 3 2 +--R ((4a b + 8a b)cosh(x) + (4a b + 16a b + 16a )cosh(x))sech(x) +--R + +--R 3 2 3 3 2 2 +--R (4b + 8a b )cosh(x) + (4b + 16a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 +--R (a b + 2a b)cosh(x) + (2a b + 8a b + 8a )cosh(x) + a b +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 2 2 3 2 +--R (b + 2a b )cosh(x) + (2b + 8a b + 8a b)cosh(x) + b + 2a b +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R + +--R 2 2 2 2 2 +--R (- 4a b - 4a b)sinh(x) + (- 8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 4a b - 4a b)cosh(x) - 4a b - 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 2 2 3 2 4 +--R ((- 2a b - 4a b)sech(x) - 2b - 4a b )sinh(x) +--R + +--R 2 2 2 3 2 3 +--R ((- 8a b - 16a b)cosh(x)sech(x) + (- 8b - 16a b )cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((- 12a b - 24a b)cosh(x) - 4a b - 16a b - 16a )sech(x) +--R + +--R 3 2 2 3 2 2 +--R (- 12b - 24a b )cosh(x) - 4b - 16a b - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 8a b - 16a b)cosh(x) + (- 8a b - 32a b - 32a )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 3 3 2 2 +--R (- 8b - 16a b )cosh(x) + (- 8b - 32a b - 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 3 2 +--R (- 2a b - 4a b)cosh(x) + (- 4a b - 16a b - 16a )cosh(x) +--R + +--R 2 2 +--R - 2a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (- 2b - 4a b )cosh(x) + (- 4b - 16a b - 16a b)cosh(x) - 2b +--R + +--R 2 +--R - 4a b +--R * +--R +--------+ +-+ +--R | 2 tanh(x)\|a +--R \|a b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 4 2 3 +--R 2b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (12b cosh(x) + 4b + 8a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (8b cosh(x) + (8b + 16a b)cosh(x))sinh(x) + 2b cosh(x) +--R + +--R 2 2 2 +--R (4b + 8a b)cosh(x) + 2b +--R * +--R tanh(x) +--R + +--R 2 2 2 2 +--R ((4a b + 8a )sech(x) + 4b + 8a b)sinh(x) +--R + +--R 2 2 2 +--R ((8a b + 16a )cosh(x)sech(x) + (8b + 16a b)cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((4a b + 8a )cosh(x) + 4a b)sech(x) + (4b + 8a b)cosh(x) + 4b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b + a \|a b + a +--R / +--R 2 2 3 2 3 2 2 4 +--R ((4a b + 4a b)sech(x) + 4a b + 4a b )sinh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R ((16a b + 16a b)cosh(x)sech(x) + (16a b + 16a b )cosh(x))sinh(x) +--R + +--R 2 2 3 2 2 2 3 4 2 +--R ((24a b + 24a b)cosh(x) + 8a b + 24a b + 16a )sech(x) +--R + +--R 3 2 2 2 3 2 2 3 +--R (24a b + 24a b )cosh(x) + 8a b + 24a b + 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 3 4 2 +--R ((16a b + 16a b)cosh(x) + (16a b + 48a b + 32a )cosh(x))sech(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R (16a b + 16a b )cosh(x) + (16a b + 48a b + 32a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 3 4 2 2 3 4 2 2 2 +--R (4a b + 4a b)cosh(x) + (8a b + 24a b + 16a )cosh(x) + 4a b +--R + +--R 3 +--R 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 4 3 2 2 3 2 3 +--R (4a b + 4a b )cosh(x) + (8a b + 24a b + 16a b)cosh(x) + 4a b +--R + +--R 2 2 +--R 4a b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b + a \|a b + a +--R Type: Expression Integer +--E 475 + +--S 476 of 510 +d0193a:= D(m0193a,x) +--R +--R +--R (278) +--R 3 2 4 8 +--R (a b sech(x) - b )sinh(x) +--R + +--R 3 2 4 7 +--R (8a b cosh(x)sech(x) - 8b cosh(x))sinh(x) +--R + +--R 3 2 3 2 2 2 4 2 4 +--R (28a b cosh(x) + 4a b + 8a b )sech(x) - 28b cosh(x) - 4b +--R + +--R 3 +--R - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 3 3 2 2 2 +--R (56a b cosh(x) + (24a b + 48a b )cosh(x))sech(x) +--R + +--R 4 3 4 3 +--R - 56b cosh(x) + (- 24b - 48a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 3 2 2 2 3 2 2 +--R 70a b cosh(x) + (60a b + 120a b )cosh(x) + 6a b + 16a b +--R + +--R 3 +--R 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 4 4 3 2 4 3 2 2 +--R - 70b cosh(x) + (- 60b - 120a b )cosh(x) - 6b - 16a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 3 2 2 3 +--R 56a b cosh(x) + (80a b + 160a b )cosh(x) +--R + +--R 3 2 2 3 +--R (24a b + 64a b + 64a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 4 3 3 +--R - 56b cosh(x) + (- 80b - 160a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 24b - 64a b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 +--R 28a b cosh(x) + (60a b + 120a b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (36a b + 96a b + 96a b)cosh(x) + 4a b + 8a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 6 4 3 4 +--R - 28b cosh(x) + (- 60b - 120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 36b - 96a b - 96a b )cosh(x) - 4b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 +--R 8a b cosh(x) + (24a b + 48a b )cosh(x) +--R + +--R 3 2 2 3 3 3 2 2 +--R (24a b + 64a b + 64a b)cosh(x) + (8a b + 16a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 7 4 3 5 +--R - 8b cosh(x) + (- 24b - 48a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 24b - 64a b - 64a b )cosh(x) + (- 8b - 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 8 3 2 2 6 +--R a b cosh(x) + (4a b + 8a b )cosh(x) +--R + +--R 3 2 2 3 4 3 2 2 2 3 +--R (6a b + 16a b + 16a b)cosh(x) + (4a b + 8a b )cosh(x) + a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 8 4 3 6 +--R - b cosh(x) + (- 4b - 8a b )cosh(x) +--R + +--R 4 3 2 2 4 4 3 2 4 +--R (- 6b - 16a b - 16a b )cosh(x) + (- 4b - 8a b )cosh(x) - b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 2 2 4 4 3 2 8 +--R ((- a b - 2a b )sech(x) + (- 3b - 4a b )sech(x) )sinh(x) +--R + +--R 3 2 2 4 +--R (- 8a b - 16a b )cosh(x)sech(x) +--R + +--R 4 3 2 +--R (- 24b - 32a b )cosh(x)sech(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 4 +--R ((- 28a b - 56a b )cosh(x) - 4a b - 16a b - 16a b)sech(x) +--R + +--R 4 3 2 4 3 2 2 2 +--R ((- 84b - 112a b )cosh(x) - 12b - 40a b - 32a b )sech(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 56a b - 112a b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24a b - 96a b - 96a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 3 +--R (- 168b - 224a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 72b - 240a b - 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (- 70a b - 140a b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 60a b - 240a b - 240a b)cosh(x) - 6a b - 28a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 4 +--R (- 210b - 280a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (- 180b - 600a b - 480a b )cosh(x) - 18b - 72a b - 48a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 +--R 32a b + 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (- 56a b - 112a b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 80a b - 320a b - 320a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 24a b - 112a b - 64a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 +--R (- 168b - 224a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 240b - 800a b - 640a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 72b - 288a b - 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 +--R (128a b + 128a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (- 28a b - 56a b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 60a b - 240a b - 240a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 36a b - 168a b - 96a b)cosh(x) - 4a b - 16a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 6 +--R (- 84b - 112a b )cosh(x) +--R + +--R 4 3 2 2 4 +--R (- 180b - 600a b - 480a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (- 108b - 432a b - 288a b )cosh(x) - 12b - 40a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 2 +--R (192a b + 192a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 7 +--R (- 8a b - 16a b )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 24a b - 96a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 24a b - 112a b - 64a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 8a b - 32a b - 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 7 +--R (- 24b - 32a b )cosh(x) +--R + +--R 4 3 2 2 5 +--R (- 72b - 240a b - 192a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 72b - 288a b - 192a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 24b - 80a b - 64a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 3 +--R (128a b + 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 8 3 2 2 3 6 +--R (- a b - 2a b )cosh(x) + (- 4a b - 16a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 6a b - 28a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 4a b - 16a b - 16a b)cosh(x) - a b - 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (- 3b - 4a b )cosh(x) + (- 12b - 40a b - 32a b )cosh(x) +--R + +--R 4 3 2 2 4 +--R (- 18b - 72a b - 48a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 12b - 40a b - 32a b )cosh(x) - 3b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 4 +--R (32a b + 32a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 4 4 3 2 4 8 +--R ((a b + 2a b )sech(x) + (b + 3a b )sech(x) + b )sinh(x) +--R + +--R 3 2 2 4 4 3 2 +--R (8a b + 16a b )cosh(x)sech(x) + (8b + 24a b )cosh(x)sech(x) +--R + +--R 4 +--R 8b cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 4 +--R ((28a b + 56a b )cosh(x) + 4a b + 16a b + 16a b)sech(x) +--R + +--R 4 3 2 4 3 2 2 2 +--R ((28b + 84a b )cosh(x) + 4b + 20a b + 24a b )sech(x) +--R + +--R 4 2 4 3 +--R 28b cosh(x) + 4b + 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((56a b + 112a b )cosh(x) + (24a b + 96a b + 96a b)cosh(x)) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((56b + 168a b )cosh(x) + (24b + 120a b + 144a b )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 4 3 +--R 56b cosh(x) + (24b + 48a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 3 2 2 3 2 +--R (70a b + 140a b )cosh(x) + (60a b + 240a b + 240a b)cosh(x) +--R + +--R 3 2 2 3 +--R 6a b - 4a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 4 4 3 2 2 2 +--R (70b + 210a b )cosh(x) + (60b + 300a b + 360a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R 6b - 30a b - 64a b - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 4 4 3 2 4 3 2 2 +--R 70b cosh(x) + (60b + 120a b )cosh(x) - 26b - 48a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 3 2 2 3 3 +--R (56a b + 112a b )cosh(x) + (80a b + 320a b + 320a b)cosh(x) +--R + +--R 3 2 2 3 +--R (24a b - 16a b - 64a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 4 3 2 2 3 +--R (56b + 168a b )cosh(x) + (80b + 400a b + 480a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (24b - 120a b - 256a b - 64a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 4 3 3 +--R 56b cosh(x) + (80b + 160a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 104b - 192a b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 3 2 2 3 4 +--R (28a b + 56a b )cosh(x) + (60a b + 240a b + 240a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (36a b - 24a b - 96a b)cosh(x) + 4a b + 16a b + 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 6 4 3 2 2 4 +--R (28b + 84a b )cosh(x) + (60b + 300a b + 360a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (36b - 180a b - 384a b - 96a b)cosh(x) + 4b + 20a b + 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 6 4 3 4 +--R 28b cosh(x) + (60b + 120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 156b - 288a b - 96a b )cosh(x) + 4b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 7 3 2 2 3 5 +--R (8a b + 16a b )cosh(x) + (24a b + 96a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 3 3 2 2 3 +--R (24a b - 16a b - 64a b)cosh(x) + (8a b + 32a b + 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (8b + 24a b )cosh(x) + (24b + 120a b + 144a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (24b - 120a b - 256a b - 64a b)cosh(x) +--R + +--R 4 3 2 2 +--R (8b + 40a b + 48a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 7 4 3 5 +--R 8b cosh(x) + (24b + 48a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 104b - 192a b - 64a b )cosh(x) + (8b + 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 8 3 2 2 3 6 +--R (a b + 2a b )cosh(x) + (4a b + 16a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R (6a b - 4a b - 16a b)cosh(x) + (4a b + 16a b + 16a b)cosh(x) +--R + +--R 3 2 2 +--R a b + 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (b + 3a b )cosh(x) + (4b + 20a b + 24a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (6b - 30a b - 64a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (4b + 20a b + 24a b )cosh(x) + b + 3a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 8 4 3 6 4 3 2 2 4 +--R b cosh(x) + (4b + 8a b )cosh(x) + (- 26b - 48a b - 16a b )cosh(x) +--R + +--R 4 3 2 4 +--R (4b + 8a b )cosh(x) + b +--R / +--R 3 3 4 2 4 2 4 3 3 2 5 2 4 +--R ((2a b + 2a b )sech(x) + (4a b + 4a b )sech(x) + 2a b + 2a b ) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 4 2 4 +--R (16a b + 16a b )cosh(x)sech(x) +--R + +--R 2 4 3 3 2 5 2 4 +--R (32a b + 32a b )cosh(x)sech(x) + (16a b + 16a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 3 4 2 2 3 3 4 2 5 4 +--R ((56a b + 56a b )cosh(x) + 8a b + 24a b + 16a b)sech(x) +--R + +--R 2 4 3 3 2 2 4 3 3 4 2 2 +--R ((112a b + 112a b )cosh(x) + 16a b + 48a b + 32a b )sech(x) +--R + +--R 5 2 4 2 5 2 4 3 3 +--R (56a b + 56a b )cosh(x) + 8a b + 24a b + 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 3 4 2 3 +--R (112a b + 112a b )cosh(x) +--R + +--R 3 3 4 2 5 +--R (48a b + 144a b + 96a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 3 +--R (224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (96a b + 288a b + 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 3 5 2 4 3 3 +--R (112a b + 112a b )cosh(x) + (48a b + 144a b + 96a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 3 4 2 4 +--R (140a b + 140a b )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 +--R (120a b + 360a b + 240a b)cosh(x) + 12a b + 44a b +--R + +--R 5 6 +--R 64a b + 32a +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 4 +--R (280a b + 280a b )cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (240a b + 720a b + 480a b )cosh(x) + 24a b + 88a b +--R + +--R 4 2 5 +--R 128a b + 64a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 4 +--R (140a b + 140a b )cosh(x) +--R + +--R 5 2 4 3 3 2 5 2 4 3 3 +--R (120a b + 360a b + 240a b )cosh(x) + 12a b + 44a b + 64a b +--R + +--R 4 2 +--R 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 4 2 5 +--R (112a b + 112a b )cosh(x) +--R + +--R 3 3 4 2 5 3 +--R (160a b + 480a b + 320a b)cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (48a b + 176a b + 256a b + 128a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 5 +--R (224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (320a b + 960a b + 640a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (96a b + 352a b + 512a b + 256a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 5 +--R (112a b + 112a b )cosh(x) +--R + +--R 5 2 4 3 3 3 +--R (160a b + 480a b + 320a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (48a b + 176a b + 256a b + 128a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 6 +--R (56a b + 56a b )cosh(x) +--R + +--R 3 3 4 2 5 4 +--R (120a b + 360a b + 240a b)cosh(x) +--R + +--R 3 3 4 2 5 6 2 3 3 4 2 +--R (72a b + 264a b + 384a b + 192a )cosh(x) + 8a b + 24a b +--R + +--R 5 +--R 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 6 +--R (112a b + 112a b )cosh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (240a b + 720a b + 480a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (144a b + 528a b + 768a b + 384a b)cosh(x) + 16a b +--R + +--R 3 3 4 2 +--R 48a b + 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 6 5 2 4 3 3 4 +--R (56a b + 56a b )cosh(x) + (120a b + 360a b + 240a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 +--R (72a b + 264a b + 384a b + 192a b )cosh(x) + 8a b + 24a b +--R + +--R 3 3 +--R 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 7 +--R (16a b + 16a b )cosh(x) +--R + +--R 3 3 4 2 5 5 +--R (48a b + 144a b + 96a b)cosh(x) +--R + +--R 3 3 4 2 5 6 3 +--R (48a b + 176a b + 256a b + 128a )cosh(x) +--R + +--R 3 3 4 2 5 +--R (16a b + 48a b + 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 7 +--R (32a b + 32a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (96a b + 288a b + 192a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (96a b + 352a b + 512a b + 256a b)cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (32a b + 96a b + 64a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 7 5 2 4 3 3 5 +--R (16a b + 16a b )cosh(x) + (48a b + 144a b + 96a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (48a b + 176a b + 256a b + 128a b )cosh(x) +--R + +--R 5 2 4 3 3 +--R (16a b + 48a b + 32a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 4 2 8 3 3 4 2 5 6 +--R (2a b + 2a b )cosh(x) + (8a b + 24a b + 16a b)cosh(x) +--R + +--R 3 3 4 2 5 6 4 +--R (12a b + 44a b + 64a b + 32a )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 +--R (8a b + 24a b + 16a b)cosh(x) + 2a b + 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 8 2 4 3 3 4 2 6 +--R (4a b + 4a b )cosh(x) + (16a b + 48a b + 32a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (24a b + 88a b + 128a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (16a b + 48a b + 32a b )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 8 5 2 4 3 3 6 +--R (2a b + 2a b )cosh(x) + (8a b + 24a b + 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (12a b + 44a b + 64a b + 32a b )cosh(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (8a b + 24a b + 16a b )cosh(x) + 2a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 3 3 4 2 4 5 2 4 3 3 2 +--R (- 2a b - 4a b - 2a b )sech(x) + (- 4a b - 8a b - 4a b )sech(x) +--R + +--R 6 5 2 4 +--R - 2b - 4a b - 2a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 16a b - 32a b - 16a b )cosh(x)sech(x) +--R + +--R 5 2 4 3 3 2 +--R (- 32a b - 64a b - 32a b )cosh(x)sech(x) +--R + +--R 6 5 2 4 +--R (- 16b - 32a b - 16a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 4 2 +--R (- 56a b - 112a b - 56a b )cosh(x) - 8a b - 32a b - 40a b +--R + +--R 5 +--R - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (- 112a b - 224a b - 112a b )cosh(x) - 16a b - 64a b +--R + +--R 3 3 4 2 +--R - 80a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 2 6 5 2 4 3 3 +--R (- 56b - 112a b - 56a b )cosh(x) - 8b - 32a b - 40a b - 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 48a b - 192a b - 240a b - 96a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 3 +--R (- 224a b - 448a b - 224a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 96a b - 384a b - 480a b - 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 3 +--R (- 112b - 224a b - 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 48b - 192a b - 240a b - 96a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 140a b - 280a b - 140a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 120a b - 480a b - 600a b - 240a b)cosh(x) - 12a b +--R + +--R 3 3 4 2 5 6 +--R - 56a b - 108a b - 96a b - 32a +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 4 +--R (- 280a b - 560a b - 280a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 240a b - 960a b - 1200a b - 480a b )cosh(x) - 24a b +--R + +--R 2 4 3 3 4 2 5 +--R - 112a b - 216a b - 192a b - 64a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 4 +--R (- 140b - 280a b - 140a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 120b - 480a b - 600a b - 240a b )cosh(x) - 12b - 56a b +--R + +--R 2 4 3 3 4 2 +--R - 108a b - 96a b - 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 160a b - 640a b - 800a b - 320a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 48a b - 224a b - 432a b - 384a b - 128a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 5 +--R (- 224a b - 448a b - 224a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 320a b - 1280a b - 1600a b - 640a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 96a b - 448a b - 864a b - 768a b - 256a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 5 +--R (- 112b - 224a b - 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 160b - 640a b - 800a b - 320a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 48b - 224a b - 432a b - 384a b - 128a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 56a b - 112a b - 56a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 120a b - 480a b - 600a b - 240a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (- 72a b - 336a b - 648a b - 576a b - 192a )cosh(x) - 8a b +--R + +--R 3 3 4 2 5 +--R - 32a b - 40a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 6 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 240a b - 960a b - 1200a b - 480a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 144a b - 672a b - 1296a b - 1152a b - 384a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 16a b - 64a b - 80a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 6 +--R (- 56b - 112a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 120b - 480a b - 600a b - 240a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 72b - 336a b - 648a b - 576a b - 192a b )cosh(x) - 8b +--R + +--R 5 2 4 3 3 +--R - 32a b - 40a b - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 16a b - 32a b - 16a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 48a b - 192a b - 240a b - 96a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 48a b - 224a b - 432a b - 384a b - 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 16a b - 64a b - 80a b - 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 7 +--R (- 32a b - 64a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 96a b - 384a b - 480a b - 192a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 96a b - 448a b - 864a b - 768a b - 256a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 32a b - 128a b - 160a b - 64a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 7 +--R (- 16b - 32a b - 16a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 48b - 192a b - 240a b - 96a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 48b - 224a b - 432a b - 384a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 16b - 64a b - 80a b - 32a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 2a b - 4a b - 2a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 8a b - 32a b - 40a b - 16a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 12a b - 56a b - 108a b - 96a b - 32a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (- 8a b - 32a b - 40a b - 16a b)cosh(x) - 2a b - 4a b - 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 8 +--R (- 4a b - 8a b - 4a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 16a b - 64a b - 80a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 24a b - 112a b - 216a b - 192a b - 64a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 3 3 +--R (- 16a b - 64a b - 80a b - 32a b )cosh(x) - 4a b - 8a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 8 +--R (- 2b - 4a b - 2a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 8b - 32a b - 40a b - 16a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 12b - 56a b - 108a b - 96a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (- 8b - 32a b - 40a b - 16a b )cosh(x) - 2b - 4a b - 2a b +--R Type: Expression Integer +--E 476 + +--S 477 of 510 +m0193b:= a0193.2-r0193 +--R +--R +--R (279) +--R 2 2 2 3 2 4 +--R ((- a b - 2a b)sech(x) - b - 2a b )sinh(x) +--R + +--R 2 2 2 3 2 3 +--R ((- 4a b - 8a b)cosh(x)sech(x) + (- 4b - 8a b )cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((- 6a b - 12a b)cosh(x) - 2a b - 8a b - 8a )sech(x) +--R + +--R 3 2 2 3 2 2 +--R (- 6b - 12a b )cosh(x) - 2b - 8a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 4a b - 8a b)cosh(x) + (- 4a b - 16a b - 16a )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 3 3 2 2 +--R (- 4b - 8a b )cosh(x) + (- 4b - 16a b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 +--R (- a b - 2a b)cosh(x) + (- 2a b - 8a b - 8a )cosh(x) - a b +--R + +--R 2 +--R - 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 2 2 3 2 +--R (- b - 2a b )cosh(x) + (- 2b - 8a b - 8a b)cosh(x) - b - 2a b +--R * +--R +----------+ +-+ +--R | 2 tanh(x)\|a +--R \|- a b - a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 2 2 3 2 4 +--R ((- a b - 2a b)sech(x) - b - 2a b )sinh(x) +--R + +--R 2 2 2 3 2 3 +--R ((- 4a b - 8a b)cosh(x)sech(x) + (- 4b - 8a b )cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R ((- 6a b - 12a b)cosh(x) - 2a b - 8a b - 8a )sech(x) +--R + +--R 3 2 2 3 2 2 +--R (- 6b - 12a b )cosh(x) - 2b - 8a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 2 2 3 +--R ((- 4a b - 8a b)cosh(x) + (- 4a b - 16a b - 16a )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 3 3 2 2 +--R (- 4b - 8a b )cosh(x) + (- 4b - 16a b - 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 4 2 2 3 2 2 +--R (- a b - 2a b)cosh(x) + (- 2a b - 8a b - 8a )cosh(x) - a b +--R + +--R 2 +--R - 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 4 3 2 2 2 3 2 +--R (- b - 2a b )cosh(x) + (- 2b - 8a b - 8a b)cosh(x) - b - 2a b +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R +----------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a)\|- a b - a +--R atan(-------------------------------------------------------------------) +--R 2 +--R 2a b + 2a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 +--R (2b + 4a b)cosh(x) + b +--R * +--R tanh(x) +--R + +--R 2 2 2 2 +--R ((2a b + 4a )sech(x) + 2b + 4a b)sinh(x) +--R + +--R 2 2 2 +--R ((4a b + 8a )cosh(x)sech(x) + (4b + 8a b)cosh(x))sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((2a b + 4a )cosh(x) + 2a b)sech(x) + (2b + 4a b)cosh(x) + 2b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R / +--R 2 2 3 2 3 2 2 4 +--R ((2a b + 2a b)sech(x) + 2a b + 2a b )sinh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R ((8a b + 8a b)cosh(x)sech(x) + (8a b + 8a b )cosh(x))sinh(x) +--R + +--R 2 2 3 2 2 2 3 4 2 +--R ((12a b + 12a b)cosh(x) + 4a b + 12a b + 8a )sech(x) +--R + +--R 3 2 2 2 3 2 2 3 +--R (12a b + 12a b )cosh(x) + 4a b + 12a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 3 4 2 +--R ((8a b + 8a b)cosh(x) + (8a b + 24a b + 16a )cosh(x))sech(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R (8a b + 8a b )cosh(x) + (8a b + 24a b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 2 3 4 2 2 3 4 2 2 2 +--R (2a b + 2a b)cosh(x) + (4a b + 12a b + 8a )cosh(x) + 2a b +--R + +--R 3 +--R 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 4 3 2 2 3 2 3 2 2 +--R (2a b + 2a b )cosh(x) + (4a b + 12a b + 8a b)cosh(x) + 2a b + 2a b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R Type: Expression Integer +--E 477 + +--S 478 of 510 +d0193b:= D(m0193b,x) +--R +--R +--R (280) +--R 3 2 4 8 +--R (a b sech(x) - b )sinh(x) +--R + +--R 3 2 4 7 +--R (8a b cosh(x)sech(x) - 8b cosh(x))sinh(x) +--R + +--R 3 2 3 2 2 2 4 2 4 +--R (28a b cosh(x) + 4a b + 8a b )sech(x) - 28b cosh(x) - 4b +--R + +--R 3 +--R - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 3 3 2 2 2 +--R (56a b cosh(x) + (24a b + 48a b )cosh(x))sech(x) +--R + +--R 4 3 4 3 +--R - 56b cosh(x) + (- 24b - 48a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 3 2 2 2 3 2 2 +--R 70a b cosh(x) + (60a b + 120a b )cosh(x) + 6a b + 16a b +--R + +--R 3 +--R 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 4 4 3 2 4 3 2 2 +--R - 70b cosh(x) + (- 60b - 120a b )cosh(x) - 6b - 16a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 3 2 2 3 +--R 56a b cosh(x) + (80a b + 160a b )cosh(x) +--R + +--R 3 2 2 3 +--R (24a b + 64a b + 64a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 4 3 3 +--R - 56b cosh(x) + (- 80b - 160a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 24b - 64a b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 +--R 28a b cosh(x) + (60a b + 120a b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (36a b + 96a b + 96a b)cosh(x) + 4a b + 8a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 6 4 3 4 +--R - 28b cosh(x) + (- 60b - 120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 36b - 96a b - 96a b )cosh(x) - 4b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 +--R 8a b cosh(x) + (24a b + 48a b )cosh(x) +--R + +--R 3 2 2 3 3 3 2 2 +--R (24a b + 64a b + 64a b)cosh(x) + (8a b + 16a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 7 4 3 5 +--R - 8b cosh(x) + (- 24b - 48a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 24b - 64a b - 64a b )cosh(x) + (- 8b - 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 8 3 2 2 6 +--R a b cosh(x) + (4a b + 8a b )cosh(x) +--R + +--R 3 2 2 3 4 3 2 2 2 3 +--R (6a b + 16a b + 16a b)cosh(x) + (4a b + 8a b )cosh(x) + a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 8 4 3 6 +--R - b cosh(x) + (- 4b - 8a b )cosh(x) +--R + +--R 4 3 2 2 4 4 3 2 4 +--R (- 6b - 16a b - 16a b )cosh(x) + (- 4b - 8a b )cosh(x) - b +--R * +--R 4 +--R tanh(x) +--R + +--R 3 2 2 4 4 3 2 8 +--R ((- a b - 2a b )sech(x) + (- 3b - 4a b )sech(x) )sinh(x) +--R + +--R 3 2 2 4 +--R (- 8a b - 16a b )cosh(x)sech(x) +--R + +--R 4 3 2 +--R (- 24b - 32a b )cosh(x)sech(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 4 +--R ((- 28a b - 56a b )cosh(x) - 4a b - 16a b - 16a b)sech(x) +--R + +--R 4 3 2 4 3 2 2 2 +--R ((- 84b - 112a b )cosh(x) - 12b - 40a b - 32a b )sech(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (- 56a b - 112a b )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24a b - 96a b - 96a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 3 +--R (- 168b - 224a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 72b - 240a b - 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (- 70a b - 140a b )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 60a b - 240a b - 240a b)cosh(x) - 6a b - 28a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 4 +--R (- 210b - 280a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (- 180b - 600a b - 480a b )cosh(x) - 18b - 72a b - 48a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 +--R 32a b + 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (- 56a b - 112a b )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 80a b - 320a b - 320a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 24a b - 112a b - 64a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 +--R (- 168b - 224a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 240b - 800a b - 640a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 72b - 288a b - 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 +--R (128a b + 128a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 +--R (- 28a b - 56a b )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 60a b - 240a b - 240a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 36a b - 168a b - 96a b)cosh(x) - 4a b - 16a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 6 +--R (- 84b - 112a b )cosh(x) +--R + +--R 4 3 2 2 4 +--R (- 180b - 600a b - 480a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (- 108b - 432a b - 288a b )cosh(x) - 12b - 40a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 2 +--R (192a b + 192a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 7 +--R (- 8a b - 16a b )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 24a b - 96a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 24a b - 112a b - 64a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 8a b - 32a b - 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 7 +--R (- 24b - 32a b )cosh(x) +--R + +--R 4 3 2 2 5 +--R (- 72b - 240a b - 192a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 72b - 288a b - 192a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 24b - 80a b - 64a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 3 +--R (128a b + 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 8 3 2 2 3 6 +--R (- a b - 2a b )cosh(x) + (- 4a b - 16a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 6a b - 28a b - 16a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 4a b - 16a b - 16a b)cosh(x) - a b - 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (- 3b - 4a b )cosh(x) + (- 12b - 40a b - 32a b )cosh(x) +--R + +--R 4 3 2 2 4 +--R (- 18b - 72a b - 48a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 12b - 40a b - 32a b )cosh(x) - 3b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 2 2 4 +--R (32a b + 32a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 2 4 4 3 2 4 8 +--R ((a b + 2a b )sech(x) + (b + 3a b )sech(x) + b )sinh(x) +--R + +--R 3 2 2 4 4 3 2 +--R (8a b + 16a b )cosh(x)sech(x) + (8b + 24a b )cosh(x)sech(x) +--R + +--R 4 +--R 8b cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 2 2 3 2 2 3 4 +--R ((28a b + 56a b )cosh(x) + 4a b + 16a b + 16a b)sech(x) +--R + +--R 4 3 2 4 3 2 2 2 +--R ((28b + 84a b )cosh(x) + 4b + 20a b + 24a b )sech(x) +--R + +--R 4 2 4 3 +--R 28b cosh(x) + 4b + 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 3 3 2 2 3 +--R ((56a b + 112a b )cosh(x) + (24a b + 96a b + 96a b)cosh(x)) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((56b + 168a b )cosh(x) + (24b + 120a b + 144a b )cosh(x)) +--R * +--R 2 +--R sech(x) +--R + +--R 4 3 4 3 +--R 56b cosh(x) + (24b + 48a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 2 4 3 2 2 3 2 +--R (70a b + 140a b )cosh(x) + (60a b + 240a b + 240a b)cosh(x) +--R + +--R 3 2 2 3 +--R 6a b - 4a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 4 4 3 2 2 2 +--R (70b + 210a b )cosh(x) + (60b + 300a b + 360a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R 6b - 30a b - 64a b - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 4 4 3 2 4 3 2 2 +--R 70b cosh(x) + (60b + 120a b )cosh(x) - 26b - 48a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 5 3 2 2 3 3 +--R (56a b + 112a b )cosh(x) + (80a b + 320a b + 320a b)cosh(x) +--R + +--R 3 2 2 3 +--R (24a b - 16a b - 64a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 5 4 3 2 2 3 +--R (56b + 168a b )cosh(x) + (80b + 400a b + 480a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (24b - 120a b - 256a b - 64a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 5 4 3 3 +--R 56b cosh(x) + (80b + 160a b )cosh(x) +--R + +--R 4 3 2 2 +--R (- 104b - 192a b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 6 3 2 2 3 4 +--R (28a b + 56a b )cosh(x) + (60a b + 240a b + 240a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (36a b - 24a b - 96a b)cosh(x) + 4a b + 16a b + 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 6 4 3 2 2 4 +--R (28b + 84a b )cosh(x) + (60b + 300a b + 360a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (36b - 180a b - 384a b - 96a b)cosh(x) + 4b + 20a b + 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 6 4 3 4 +--R 28b cosh(x) + (60b + 120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 156b - 288a b - 96a b )cosh(x) + 4b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 7 3 2 2 3 5 +--R (8a b + 16a b )cosh(x) + (24a b + 96a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 3 3 2 2 3 +--R (24a b - 16a b - 64a b)cosh(x) + (8a b + 32a b + 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (8b + 24a b )cosh(x) + (24b + 120a b + 144a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (24b - 120a b - 256a b - 64a b)cosh(x) +--R + +--R 4 3 2 2 +--R (8b + 40a b + 48a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 4 7 4 3 5 +--R 8b cosh(x) + (24b + 48a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 104b - 192a b - 64a b )cosh(x) + (8b + 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 8 3 2 2 3 6 +--R (a b + 2a b )cosh(x) + (4a b + 16a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R (6a b - 4a b - 16a b)cosh(x) + (4a b + 16a b + 16a b)cosh(x) +--R + +--R 3 2 2 +--R a b + 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (b + 3a b )cosh(x) + (4b + 20a b + 24a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (6b - 30a b - 64a b - 16a b)cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (4b + 20a b + 24a b )cosh(x) + b + 3a b +--R * +--R 2 +--R sech(x) +--R + +--R 4 8 4 3 6 4 3 2 2 4 +--R b cosh(x) + (4b + 8a b )cosh(x) + (- 26b - 48a b - 16a b )cosh(x) +--R + +--R 4 3 2 4 +--R (4b + 8a b )cosh(x) + b +--R / +--R 3 3 4 2 4 2 4 3 3 2 5 2 4 +--R ((2a b + 2a b )sech(x) + (4a b + 4a b )sech(x) + 2a b + 2a b ) +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 4 2 4 +--R (16a b + 16a b )cosh(x)sech(x) +--R + +--R 2 4 3 3 2 5 2 4 +--R (32a b + 32a b )cosh(x)sech(x) + (16a b + 16a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 3 4 2 2 3 3 4 2 5 4 +--R ((56a b + 56a b )cosh(x) + 8a b + 24a b + 16a b)sech(x) +--R + +--R 2 4 3 3 2 2 4 3 3 4 2 2 +--R ((112a b + 112a b )cosh(x) + 16a b + 48a b + 32a b )sech(x) +--R + +--R 5 2 4 2 5 2 4 3 3 +--R (56a b + 56a b )cosh(x) + 8a b + 24a b + 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 3 3 4 2 3 +--R (112a b + 112a b )cosh(x) +--R + +--R 3 3 4 2 5 +--R (48a b + 144a b + 96a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 3 +--R (224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (96a b + 288a b + 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 3 5 2 4 3 3 +--R (112a b + 112a b )cosh(x) + (48a b + 144a b + 96a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 3 4 2 4 +--R (140a b + 140a b )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 +--R (120a b + 360a b + 240a b)cosh(x) + 12a b + 44a b +--R + +--R 5 6 +--R 64a b + 32a +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 4 +--R (280a b + 280a b )cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (240a b + 720a b + 480a b )cosh(x) + 24a b + 88a b +--R + +--R 4 2 5 +--R 128a b + 64a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 4 +--R (140a b + 140a b )cosh(x) +--R + +--R 5 2 4 3 3 2 5 2 4 3 3 +--R (120a b + 360a b + 240a b )cosh(x) + 12a b + 44a b + 64a b +--R + +--R 4 2 +--R 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 4 2 5 +--R (112a b + 112a b )cosh(x) +--R + +--R 3 3 4 2 5 3 +--R (160a b + 480a b + 320a b)cosh(x) +--R + +--R 3 3 4 2 5 6 +--R (48a b + 176a b + 256a b + 128a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 5 +--R (224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (320a b + 960a b + 640a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (96a b + 352a b + 512a b + 256a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 5 +--R (112a b + 112a b )cosh(x) +--R + +--R 5 2 4 3 3 3 +--R (160a b + 480a b + 320a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (48a b + 176a b + 256a b + 128a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 4 2 6 +--R (56a b + 56a b )cosh(x) +--R + +--R 3 3 4 2 5 4 +--R (120a b + 360a b + 240a b)cosh(x) +--R + +--R 3 3 4 2 5 6 2 3 3 4 2 +--R (72a b + 264a b + 384a b + 192a )cosh(x) + 8a b + 24a b +--R + +--R 5 +--R 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 6 +--R (112a b + 112a b )cosh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (240a b + 720a b + 480a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (144a b + 528a b + 768a b + 384a b)cosh(x) + 16a b +--R + +--R 3 3 4 2 +--R 48a b + 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 6 5 2 4 3 3 4 +--R (56a b + 56a b )cosh(x) + (120a b + 360a b + 240a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 +--R (72a b + 264a b + 384a b + 192a b )cosh(x) + 8a b + 24a b +--R + +--R 3 3 +--R 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 4 2 7 +--R (16a b + 16a b )cosh(x) +--R + +--R 3 3 4 2 5 5 +--R (48a b + 144a b + 96a b)cosh(x) +--R + +--R 3 3 4 2 5 6 3 +--R (48a b + 176a b + 256a b + 128a )cosh(x) +--R + +--R 3 3 4 2 5 +--R (16a b + 48a b + 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 7 +--R (32a b + 32a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (96a b + 288a b + 192a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (96a b + 352a b + 512a b + 256a b)cosh(x) +--R + +--R 2 4 3 3 4 2 +--R (32a b + 96a b + 64a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 7 5 2 4 3 3 5 +--R (16a b + 16a b )cosh(x) + (48a b + 144a b + 96a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (48a b + 176a b + 256a b + 128a b )cosh(x) +--R + +--R 5 2 4 3 3 +--R (16a b + 48a b + 32a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 4 2 8 3 3 4 2 5 6 +--R (2a b + 2a b )cosh(x) + (8a b + 24a b + 16a b)cosh(x) +--R + +--R 3 3 4 2 5 6 4 +--R (12a b + 44a b + 64a b + 32a )cosh(x) +--R + +--R 3 3 4 2 5 2 3 3 4 2 +--R (8a b + 24a b + 16a b)cosh(x) + 2a b + 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 2 4 3 3 8 2 4 3 3 4 2 6 +--R (4a b + 4a b )cosh(x) + (16a b + 48a b + 32a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (24a b + 88a b + 128a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (16a b + 48a b + 32a b )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 2 4 8 5 2 4 3 3 6 +--R (2a b + 2a b )cosh(x) + (8a b + 24a b + 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (12a b + 44a b + 64a b + 32a b )cosh(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (8a b + 24a b + 16a b )cosh(x) + 2a b + 2a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 3 3 4 2 4 5 2 4 3 3 2 +--R (- 2a b - 4a b - 2a b )sech(x) + (- 4a b - 8a b - 4a b )sech(x) +--R + +--R 6 5 2 4 +--R - 2b - 4a b - 2a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 16a b - 32a b - 16a b )cosh(x)sech(x) +--R + +--R 5 2 4 3 3 2 +--R (- 32a b - 64a b - 32a b )cosh(x)sech(x) +--R + +--R 6 5 2 4 +--R (- 16b - 32a b - 16a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 4 2 +--R (- 56a b - 112a b - 56a b )cosh(x) - 8a b - 32a b - 40a b +--R + +--R 5 +--R - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (- 112a b - 224a b - 112a b )cosh(x) - 16a b - 64a b +--R + +--R 3 3 4 2 +--R - 80a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 2 6 5 2 4 3 3 +--R (- 56b - 112a b - 56a b )cosh(x) - 8b - 32a b - 40a b - 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 48a b - 192a b - 240a b - 96a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 3 +--R (- 224a b - 448a b - 224a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 96a b - 384a b - 480a b - 192a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 3 +--R (- 112b - 224a b - 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 48b - 192a b - 240a b - 96a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 140a b - 280a b - 140a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 120a b - 480a b - 600a b - 240a b)cosh(x) - 12a b +--R + +--R 3 3 4 2 5 6 +--R - 56a b - 108a b - 96a b - 32a +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 4 +--R (- 280a b - 560a b - 280a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 240a b - 960a b - 1200a b - 480a b )cosh(x) - 24a b +--R + +--R 2 4 3 3 4 2 5 +--R - 112a b - 216a b - 192a b - 64a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 4 +--R (- 140b - 280a b - 140a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 120b - 480a b - 600a b - 240a b )cosh(x) - 12b - 56a b +--R + +--R 2 4 3 3 4 2 +--R - 108a b - 96a b - 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 160a b - 640a b - 800a b - 320a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 48a b - 224a b - 432a b - 384a b - 128a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 5 +--R (- 224a b - 448a b - 224a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 320a b - 1280a b - 1600a b - 640a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 96a b - 448a b - 864a b - 768a b - 256a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 5 +--R (- 112b - 224a b - 112a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 160b - 640a b - 800a b - 320a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 48b - 224a b - 432a b - 384a b - 128a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 56a b - 112a b - 56a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 120a b - 480a b - 600a b - 240a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 2 4 +--R (- 72a b - 336a b - 648a b - 576a b - 192a )cosh(x) - 8a b +--R + +--R 3 3 4 2 5 +--R - 32a b - 40a b - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 6 +--R (- 112a b - 224a b - 112a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 240a b - 960a b - 1200a b - 480a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (- 144a b - 672a b - 1296a b - 1152a b - 384a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 16a b - 64a b - 80a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 6 +--R (- 56b - 112a b - 56a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 120b - 480a b - 600a b - 240a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (- 72b - 336a b - 648a b - 576a b - 192a b )cosh(x) - 8b +--R + +--R 5 2 4 3 3 +--R - 32a b - 40a b - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 16a b - 32a b - 16a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 48a b - 192a b - 240a b - 96a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 48a b - 224a b - 432a b - 384a b - 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 16a b - 64a b - 80a b - 32a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 7 +--R (- 32a b - 64a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 96a b - 384a b - 480a b - 192a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 96a b - 448a b - 864a b - 768a b - 256a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 32a b - 128a b - 160a b - 64a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 7 +--R (- 16b - 32a b - 16a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 48b - 192a b - 240a b - 96a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 48b - 224a b - 432a b - 384a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 16b - 64a b - 80a b - 32a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 2a b - 4a b - 2a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 8a b - 32a b - 40a b - 16a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 12a b - 56a b - 108a b - 96a b - 32a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (- 8a b - 32a b - 40a b - 16a b)cosh(x) - 2a b - 4a b - 2a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 8 +--R (- 4a b - 8a b - 4a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 16a b - 64a b - 80a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 24a b - 112a b - 216a b - 192a b - 64a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 3 3 +--R (- 16a b - 64a b - 80a b - 32a b )cosh(x) - 4a b - 8a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 8 +--R (- 2b - 4a b - 2a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 8b - 32a b - 40a b - 16a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 12b - 56a b - 108a b - 96a b - 32a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (- 8b - 32a b - 40a b - 16a b )cosh(x) - 2b - 4a b - 2a b +--R Type: Expression Integer +--E 478 + +--S 479 of 510 +t0194:= 1/(a+b*cosh(x)^2)^3 +--R +--R +--R 1 +--R (281) ----------------------------------------------- +--R 3 6 2 4 2 2 3 +--R b cosh(x) + 3a b cosh(x) + 3a b cosh(x) + a +--R Type: Expression Integer +--E 479 + +--S 480 of 510 +r0194:= 1/8*(8*a^2+8*a*b+3*b^2)*atanh(a^(1/2)*tanh(x)/(a+b)^(1/2))/_ + a^(5/2)/(a+b)^(5/2)-1/3*(5*a+3*b)*tanh(x)/a^2/(b+a*sech(x)^2)^2+_ + 1/12*(8*a^2+8*a*b+3*b^2)*tanh(x)/a^2/(a+b)/(b+a*sech(x)^2)^2+_ + 1/8*(8*a^2+8*a*b+3*b^2)*tanh(x)/a^2/(a+b)^2/(b+a*sech(x)^2)+_ + tanh(x)^3/a/(b+a*sech(x)^2)^2 +--R +--R +--R (282) +--R 2 2 3 4 4 3 2 2 3 2 4 +--R (3a b + 8a b + 8a )sech(x) + (6a b + 16a b + 16a b)sech(x) + 3b +--R + +--R 3 2 2 +--R 8a b + 8a b +--R * +--R +-+ +--R tanh(x)\|a +--R atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 2 3 3 +--R (8a b + 16a b + 8a )tanh(x) +--R + +--R 2 2 3 2 3 2 2 3 +--R ((3a b + 8a b + 8a )sech(x) - 3b - 14a b - 16a b - 8a )tanh(x) +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R / +--R 4 2 5 6 4 3 3 4 2 5 2 +--R (8a b + 16a b + 8a )sech(x) + (16a b + 32a b + 16a b)sech(x) +--R + +--R 2 4 3 3 4 2 +--R 8a b + 16a b + 8a b +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R Type: Expression Integer +--E 480 + +--S 481 of 510 +a0194:= integrate(t0194,x) +--R +--R +--R (283) +--R [ +--R 4 3 2 2 8 +--R (3b + 8a b + 8a b )sinh(x) +--R + +--R 4 3 2 2 7 +--R (24b + 64a b + 64a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (84b + 224a b + 224a b )cosh(x) + 12b + 56a b + 96a b +--R + +--R 3 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (168b + 448a b + 448a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (72b + 336a b + 576a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (210b + 560a b + 560a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (180b + 840a b + 1440a b + 960a b)cosh(x) + 18b + 96a b +--R + +--R 2 2 3 4 +--R 224a b + 256a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (168b + 448a b + 448a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (240b + 1120a b + 1920a b + 1280a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (72b + 384a b + 896a b + 1024a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (84b + 224a b + 224a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (180b + 840a b + 1440a b + 960a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (108b + 576a b + 1344a b + 1536a b + 768a )cosh(x) + 12b +--R + +--R 3 2 2 3 +--R 56a b + 96a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (24b + 64a b + 64a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (72b + 336a b + 576a b + 384a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (72b + 384a b + 896a b + 1024a b + 512a )cosh(x) +--R + +--R 4 3 2 2 3 +--R (24b + 112a b + 192a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (3b + 8a b + 8a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (12b + 56a b + 96a b + 64a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (18b + 96a b + 224a b + 256a b + 128a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (12b + 56a b + 96a b + 64a b)cosh(x) + 3b + 8a b + 8a b +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R + +--R 2 2 2 2 2 +--R (- 4a b - 4a b)sinh(x) + (- 8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 4a b - 4a b)cosh(x) - 4a b - 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 3 2 2 6 +--R (12b + 32a b + 32a b)sinh(x) +--R + +--R 3 2 2 5 +--R (72b + 192a b + 192a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (180b + 480a b + 480a b)cosh(x) + 36b + 168a b + 288a b +--R + +--R 3 +--R 192a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (240b + 640a b + 640a b)cosh(x) +--R + +--R 3 2 2 3 +--R (144b + 672a b + 1152a b + 768a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (180b + 480a b + 480a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (216b + 1008a b + 1728a b + 1152a )cosh(x) + 36b + 160a b +--R + +--R 2 +--R 160a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (72b + 192a b + 192a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (144b + 672a b + 1152a b + 768a )cosh(x) +--R + +--R 3 2 2 +--R (72b + 320a b + 320a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 6 +--R (12b + 32a b + 32a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (36b + 168a b + 288a b + 192a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (36b + 160a b + 160a b)cosh(x) + 12b + 24a b +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R / +--R 2 4 3 3 4 2 8 +--R (16a b + 32a b + 16a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (128a b + 256a b + 128a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (448a b + 896a b + 448a b )cosh(x) + 64a b + 256a b +--R + +--R 4 2 5 +--R 320a b + 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (384a b + 1536a b + 1920a b + 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (1120a b + 2240a b + 1120a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (960a b + 3840a b + 4800a b + 1920a b)cosh(x) + 96a b +--R + +--R 3 3 4 2 5 6 +--R 448a b + 864a b + 768a b + 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (1280a b + 5120a b + 6400a b + 2560a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (960a b + 3840a b + 4800a b + 1920a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (576a b + 2688a b + 5184a b + 4608a b + 1536a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 64a b + 256a b + 320a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (128a b + 256a b + 128a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (384a b + 1536a b + 1920a b + 768a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (128a b + 512a b + 640a b + 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (16a b + 32a b + 16a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (64a b + 256a b + 320a b + 128a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (96a b + 448a b + 864a b + 768a b + 256a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (64a b + 256a b + 320a b + 128a b)cosh(x) + 16a b + 32a b +--R + +--R 4 2 +--R 16a b +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R , +--R +--R 4 3 2 2 8 +--R (- 3b - 8a b - 8a b )sinh(x) +--R + +--R 4 3 2 2 7 +--R (- 24b - 64a b - 64a b )cosh(x)sinh(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (- 84b - 224a b - 224a b )cosh(x) - 12b - 56a b - 96a b +--R + +--R 3 +--R - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 2 3 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 72b - 336a b - 576a b - 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 2 4 +--R (- 210b - 560a b - 560a b )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 +--R (- 180b - 840a b - 1440a b - 960a b)cosh(x) - 18b - 96a b +--R + +--R 2 2 3 4 +--R - 224a b - 256a b - 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 5 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 4 3 2 2 3 3 +--R (- 240b - 1120a b - 1920a b - 1280a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 72b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 2 6 +--R (- 84b - 224a b - 224a b )cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 180b - 840a b - 1440a b - 960a b)cosh(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 108b - 576a b - 1344a b - 1536a b - 768a )cosh(x) - 12b +--R + +--R 3 2 2 3 +--R - 56a b - 96a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 2 7 +--R (- 24b - 64a b - 64a b )cosh(x) +--R + +--R 4 3 2 2 3 5 +--R (- 72b - 336a b - 576a b - 384a b)cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 72b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R + +--R 4 3 2 2 3 +--R (- 24b - 112a b - 192a b - 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 8 +--R (- 3b - 8a b - 8a b )cosh(x) +--R + +--R 4 3 2 2 3 6 +--R (- 12b - 56a b - 96a b - 64a b)cosh(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 18b - 96a b - 224a b - 256a b - 128a )cosh(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 12b - 56a b - 96a b - 64a b)cosh(x) - 3b - 8a b - 8a b +--R * +--R atan +--R 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a) +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R / +--R 2 +--R 2a b + 2a +--R + +--R 3 2 2 6 +--R (6b + 16a b + 16a b)sinh(x) +--R + +--R 3 2 2 5 +--R (36b + 96a b + 96a b)cosh(x)sinh(x) +--R + +--R 3 2 2 2 3 2 2 +--R (90b + 240a b + 240a b)cosh(x) + 18b + 84a b + 144a b +--R + +--R 3 +--R 96a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 2 3 +--R (120b + 320a b + 320a b)cosh(x) +--R + +--R 3 2 2 3 +--R (72b + 336a b + 576a b + 384a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 2 4 +--R (90b + 240a b + 240a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (108b + 504a b + 864a b + 576a )cosh(x) + 18b + 80a b +--R + +--R 2 +--R 80a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 2 5 +--R (36b + 96a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (72b + 336a b + 576a b + 384a )cosh(x) +--R + +--R 3 2 2 +--R (36b + 160a b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 2 6 +--R (6b + 16a b + 16a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (18b + 84a b + 144a b + 96a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (18b + 80a b + 80a b)cosh(x) + 6b + 12a b +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R / +--R 2 4 3 3 4 2 8 +--R (8a b + 16a b + 8a b )sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (64a b + 128a b + 64a b )cosh(x)sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (224a b + 448a b + 224a b )cosh(x) + 32a b + 128a b +--R + +--R 4 2 5 +--R 160a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (192a b + 768a b + 960a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (560a b + 1120a b + 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (480a b + 1920a b + 2400a b + 960a b)cosh(x) + 48a b +--R + +--R 3 3 4 2 5 6 +--R 224a b + 432a b + 384a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (640a b + 2560a b + 3200a b + 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (192a b + 896a b + 1728a b + 1536a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (224a b + 448a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (480a b + 1920a b + 2400a b + 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (288a b + 1344a b + 2592a b + 2304a b + 768a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 32a b + 128a b + 160a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (64a b + 128a b + 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (192a b + 768a b + 960a b + 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (192a b + 896a b + 1728a b + 1536a b + 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (64a b + 256a b + 320a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (8a b + 16a b + 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (32a b + 128a b + 160a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (48a b + 224a b + 432a b + 384a b + 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (32a b + 128a b + 160a b + 64a b)cosh(x) + 8a b + 16a b + 8a b +--R * +--R +----------+ +--R | 2 +--R \|- a b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 481 + +--S 482 of 510 +m0194a:= a0194.1-r0194 +--R +--R +--R (284) +--R 2 4 3 3 4 2 4 +--R (3a b + 8a b + 8a b )sech(x) +--R + +--R 5 2 4 3 3 2 6 5 2 4 +--R (6a b + 16a b + 16a b )sech(x) + 3b + 8a b + 8a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (24a b + 64a b + 64a b )cosh(x)sech(x) +--R + +--R 5 2 4 3 3 2 +--R (48a b + 128a b + 128a b )cosh(x)sech(x) +--R + +--R 6 5 2 4 +--R (24b + 64a b + 64a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (84a b + 224a b + 224a b )cosh(x) + 12a b + 56a b +--R + +--R 4 2 5 +--R 96a b + 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (168a b + 448a b + 448a b )cosh(x) + 24a b + 112a b +--R + +--R 3 3 4 2 +--R 192a b + 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 2 6 5 2 4 +--R (84b + 224a b + 224a b )cosh(x) + 12b + 56a b + 96a b +--R + +--R 3 3 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (168a b + 448a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (72a b + 336a b + 576a b + 384a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 3 +--R (336a b + 896a b + 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (144a b + 672a b + 1152a b + 768a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 3 +--R (168b + 448a b + 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (72b + 336a b + 576a b + 384a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (210a b + 560a b + 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (180a b + 840a b + 1440a b + 960a b)cosh(x) + 18a b +--R + +--R 3 3 4 2 5 6 +--R 96a b + 224a b + 256a b + 128a +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 4 +--R (420a b + 1120a b + 1120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (360a b + 1680a b + 2880a b + 1920a b )cosh(x) + 36a b +--R + +--R 2 4 3 3 4 2 5 +--R 192a b + 448a b + 512a b + 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 4 +--R (210b + 560a b + 560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (180b + 840a b + 1440a b + 960a b )cosh(x) + 18b + 96a b +--R + +--R 2 4 3 3 4 2 +--R 224a b + 256a b + 128a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (168a b + 448a b + 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (240a b + 1120a b + 1920a b + 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (72a b + 384a b + 896a b + 1024a b + 512a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 5 +--R (336a b + 896a b + 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (480a b + 2240a b + 3840a b + 2560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (144a b + 768a b + 1792a b + 2048a b + 1024a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 5 +--R (168b + 448a b + 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (240b + 1120a b + 1920a b + 1280a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (72b + 384a b + 896a b + 1024a b + 512a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (84a b + 224a b + 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (180a b + 840a b + 1440a b + 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (108a b + 576a b + 1344a b + 1536a b + 768a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R 12a b + 56a b + 96a b + 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 6 +--R (168a b + 448a b + 448a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (360a b + 1680a b + 2880a b + 1920a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (216a b + 1152a b + 2688a b + 3072a b + 1536a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R 24a b + 112a b + 192a b + 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 6 +--R (84b + 224a b + 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (180b + 840a b + 1440a b + 960a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 6 +--R (108b + 576a b + 1344a b + 1536a b + 768a b )cosh(x) + 12b +--R + +--R 5 2 4 3 3 +--R 56a b + 96a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (24a b + 64a b + 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (72a b + 336a b + 576a b + 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (72a b + 384a b + 896a b + 1024a b + 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (24a b + 112a b + 192a b + 128a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 7 +--R (48a b + 128a b + 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (144a b + 672a b + 1152a b + 768a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (144a b + 768a b + 1792a b + 2048a b + 1024a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (48a b + 224a b + 384a b + 256a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 7 +--R (24b + 64a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (72b + 336a b + 576a b + 384a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (72b + 384a b + 896a b + 1024a b + 512a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (24b + 112a b + 192a b + 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (3a b + 8a b + 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (12a b + 56a b + 96a b + 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (18a b + 96a b + 224a b + 256a b + 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 4 2 +--R (12a b + 56a b + 96a b + 64a b)cosh(x) + 3a b + 8a b + 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 8 +--R (6a b + 16a b + 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (24a b + 112a b + 192a b + 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (36a b + 192a b + 448a b + 512a b + 256a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 +--R (24a b + 112a b + 192a b + 128a b )cosh(x) + 6a b + 16a b +--R + +--R 3 3 +--R 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 8 +--R (3b + 8a b + 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (12b + 56a b + 96a b + 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (18b + 96a b + 224a b + 256a b + 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (12b + 56a b + 96a b + 64a b )cosh(x) + 3b + 8a b + 8a b +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R log +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R * +--R +--------+ +--R | 2 +--R \|a b + a +--R + +--R 2 2 2 2 2 +--R (- 4a b - 4a b)sinh(x) + (- 8a b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (- 4a b - 4a b)cosh(x) - 4a b - 12a b - 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 4 3 3 4 2 4 +--R (- 6a b - 16a b - 16a b )sech(x) +--R + +--R 5 2 4 3 3 2 6 5 2 4 +--R (- 12a b - 32a b - 32a b )sech(x) - 6b - 16a b - 16a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 48a b - 128a b - 128a b )cosh(x)sech(x) +--R + +--R 5 2 4 3 3 2 +--R (- 96a b - 256a b - 256a b )cosh(x)sech(x) +--R + +--R 6 5 2 4 +--R (- 48b - 128a b - 128a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 168a b - 448a b - 448a b )cosh(x) - 24a b - 112a b +--R + +--R 4 2 5 +--R - 192a b - 128a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (- 336a b - 896a b - 896a b )cosh(x) - 48a b - 224a b +--R + +--R 3 3 4 2 +--R - 384a b - 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 2 6 5 2 4 +--R (- 168b - 448a b - 448a b )cosh(x) - 24b - 112a b - 192a b +--R + +--R 3 3 +--R - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 144a b - 672a b - 1152a b - 768a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 3 +--R (- 672a b - 1792a b - 1792a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 288a b - 1344a b - 2304a b - 1536a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 3 +--R (- 336b - 896a b - 896a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 144b - 672a b - 1152a b - 768a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 420a b - 1120a b - 1120a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 360a b - 1680a b - 2880a b - 1920a b)cosh(x) - 36a b +--R + +--R 3 3 4 2 5 6 +--R - 192a b - 448a b - 512a b - 256a +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 4 +--R (- 840a b - 2240a b - 2240a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 720a b - 3360a b - 5760a b - 3840a b )cosh(x) - 72a b +--R + +--R 2 4 3 3 4 2 5 +--R - 384a b - 896a b - 1024a b - 512a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 4 +--R (- 420b - 1120a b - 1120a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 +--R (- 360b - 1680a b - 2880a b - 1920a b )cosh(x) - 36b +--R + +--R 5 2 4 3 3 4 2 +--R - 192a b - 448a b - 512a b - 256a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 480a b - 2240a b - 3840a b - 2560a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 5 +--R (- 672a b - 1792a b - 1792a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 960a b - 4480a b - 7680a b - 5120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 288a b - 1536a b - 3584a b - 4096a b - 2048a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 5 +--R (- 336b - 896a b - 896a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 480b - 2240a b - 3840a b - 2560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 144b - 768a b - 1792a b - 2048a b - 1024a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 360a b - 1680a b - 2880a b - 1920a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 216a b - 1152a b - 2688a b - 3072a b - 1536a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R - 24a b - 112a b - 192a b - 128a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 6 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 720a b - 3360a b - 5760a b - 3840a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 432a b - 2304a b - 5376a b - 6144a b - 3072a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 48a b - 224a b - 384a b - 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 6 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 360b - 1680a b - 2880a b - 1920a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 216b - 1152a b - 2688a b - 3072a b - 1536a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R - 24b - 112a b - 192a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 48a b - 128a b - 128a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 144a b - 672a b - 1152a b - 768a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 48a b - 224a b - 384a b - 256a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 7 +--R (- 96a b - 256a b - 256a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 288a b - 1344a b - 2304a b - 1536a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 288a b - 1536a b - 3584a b - 4096a b - 2048a b) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 96a b - 448a b - 768a b - 512a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 7 +--R (- 48b - 128a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 144b - 672a b - 1152a b - 768a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 144b - 768a b - 1792a b - 2048a b - 1024a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 48b - 224a b - 384a b - 256a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 6a b - 16a b - 16a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 36a b - 192a b - 448a b - 512a b - 256a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) - 6a b - 16a b +--R + +--R 4 2 +--R - 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 8 +--R (- 12a b - 32a b - 32a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 48a b - 224a b - 384a b - 256a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 48a b - 224a b - 384a b - 256a b )cosh(x) - 12a b +--R + +--R 2 4 3 3 +--R - 32a b - 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 8 +--R (- 6b - 16a b - 16a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 24b - 112a b - 192a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 36b - 192a b - 448a b - 512a b - 256a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (- 24b - 112a b - 192a b - 128a b )cosh(x) - 6b - 16a b - 16a b +--R * +--R +--------+ +-+ +--R | 2 tanh(x)\|a +--R \|a b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 4 2 3 3 2 8 +--R (- 16a b - 32a b - 16a b )sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 128a b - 256a b - 128a b )cosh(x)sinh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (- 448a b - 896a b - 448a b )cosh(x) - 64a b - 256a b +--R + +--R 3 2 4 +--R - 320a b - 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 +--R (- 896a b - 1792a b - 896a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 384a b - 1536a b - 1920a b - 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 1120a b - 2240a b - 1120a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 960a b - 3840a b - 4800a b - 1920a b)cosh(x) - 96a b +--R + +--R 2 3 3 2 4 5 +--R - 448a b - 864a b - 768a b - 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 5 +--R (- 896a b - 1792a b - 896a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 1280a b - 5120a b - 6400a b - 2560a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 384a b - 1792a b - 3456a b - 3072a b - 1024a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 6 +--R (- 448a b - 896a b - 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 960a b - 3840a b - 4800a b - 1920a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 576a b - 2688a b - 5184a b - 4608a b - 1536a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R - 64a b - 256a b - 320a b - 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 128a b - 256a b - 128a b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 384a b - 1536a b - 1920a b - 768a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 384a b - 1792a b - 3456a b - 3072a b - 1024a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 128a b - 512a b - 640a b - 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 8 +--R (- 16a b - 32a b - 16a b )cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 64a b - 256a b - 320a b - 128a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 96a b - 448a b - 864a b - 768a b - 256a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (- 64a b - 256a b - 320a b - 128a b)cosh(x) - 16a b - 32a b +--R + +--R 3 2 +--R - 16a b +--R * +--R 3 +--R tanh(x) +--R + +--R 4 2 3 3 2 2 5 4 2 3 +--R (- 6a b - 16a b - 16a b )sech(x) + 6b + 28a b + 32a b +--R + +--R 3 2 +--R 16a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 3 2 2 +--R (- 48a b - 128a b - 128a b )cosh(x)sech(x) +--R + +--R 5 4 2 3 3 2 +--R (48b + 224a b + 256a b + 128a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 3 2 2 4 +--R (- 168a b - 448a b - 448a b )cosh(x) - 24a b +--R + +--R 2 3 3 2 4 +--R - 112a b - 192a b - 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 2 5 +--R (168b + 784a b + 896a b + 448a b )cosh(x) + 24b +--R + +--R 4 2 3 3 2 4 +--R 160a b + 352a b + 320a b + 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 144a b - 672a b - 1152a b - 768a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 3 +--R (336b + 1568a b + 1792a b + 896a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (144b + 960a b + 2112a b + 1920a b + 768a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 420a b - 1120a b - 1120a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (- 360a b - 1680a b - 2880a b - 1920a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R - 36a b - 192a b - 448a b - 512a b - 256a +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 4 +--R (420b + 1960a b + 2240a b + 1120a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (360b + 2400a b + 5280a b + 4800a b + 1920a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R 36b + 264a b + 736a b + 1056a b + 768a b + 256a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 5 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 480a b - 2240a b - 3840a b - 2560a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 5 +--R (336b + 1568a b + 1792a b + 896a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (480b + 3200a b + 7040a b + 6400a b + 2560a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (144b + 1056a b + 2944a b + 4224a b + 3072a b + 1024a ) +--R * +--R cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 6 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 360a b - 1680a b - 2880a b - 1920a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 216a b - 1152a b - 2688a b - 3072a b - 1536a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 3 3 2 4 +--R - 24a b - 112a b - 192a b - 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 6 +--R (168b + 784a b + 896a b + 448a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (360b + 2400a b + 5280a b + 4800a b + 1920a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (216b + 1584a b + 4416a b + 6336a b + 4608a b + 1536a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 24b + 160a b + 352a b + 320a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 48a b - 128a b - 128a b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 144a b - 672a b - 1152a b - 768a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 48a b - 224a b - 384a b - 256a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 7 +--R (48b + 224a b + 256a b + 128a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (144b + 960a b + 2112a b + 1920a b + 768a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (144b + 1056a b + 2944a b + 4224a b + 3072a b + 1024a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (48b + 320a b + 704a b + 640a b + 256a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 8 +--R (- 6a b - 16a b - 16a b )cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 36a b - 192a b - 448a b - 512a b - 256a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) - 6a b +--R + +--R 2 3 3 2 +--R - 16a b - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 8 +--R (6b + 28a b + 32a b + 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (24b + 160a b + 352a b + 320a b + 128a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (36b + 264a b + 736a b + 1056a b + 768a b + 256a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (24b + 160a b + 352a b + 320a b + 128a b)cosh(x) + 6b +--R + +--R 4 2 3 3 2 +--R 28a b + 32a b + 16a b +--R * +--R tanh(x) +--R + +--R 2 3 3 2 4 4 +--R (12a b + 32a b + 32a b)sech(x) +--R + +--R 4 2 3 3 2 2 5 4 2 3 +--R (24a b + 64a b + 64a b )sech(x) + 12b + 32a b + 32a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 4 4 +--R (72a b + 192a b + 192a b)cosh(x)sech(x) +--R + +--R 4 2 3 3 2 2 +--R (144a b + 384a b + 384a b )cosh(x)sech(x) +--R + +--R 5 4 2 3 +--R (72b + 192a b + 192a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 +--R (180a b + 480a b + 480a b)cosh(x) + 36a b + 168a b +--R + +--R 4 5 +--R 288a b + 192a +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (360a b + 960a b + 960a b )cosh(x) + 72a b + 336a b +--R + +--R 3 2 4 +--R 576a b + 384a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (180b + 480a b + 480a b )cosh(x) + 36b + 168a b + 288a b +--R + +--R 3 2 +--R 192a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 +--R (240a b + 640a b + 640a b)cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (144a b + 672a b + 1152a b + 768a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 3 +--R (480a b + 1280a b + 1280a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (288a b + 1344a b + 2304a b + 1536a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 +--R (240b + 640a b + 640a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (144b + 672a b + 1152a b + 768a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 4 4 +--R (180a b + 480a b + 480a b)cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 +--R (216a b + 1008a b + 1728a b + 1152a )cosh(x) + 36a b +--R + +--R 3 2 4 +--R 160a b + 160a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 4 +--R (360a b + 960a b + 960a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (432a b + 2016a b + 3456a b + 2304a b)cosh(x) + 72a b +--R + +--R 2 3 3 2 +--R 320a b + 320a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 4 +--R (180b + 480a b + 480a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (216b + 1008a b + 1728a b + 1152a b )cosh(x) + 36b + 160a b +--R + +--R 2 3 +--R 160a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 4 5 +--R (72a b + 192a b + 192a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (144a b + 672a b + 1152a b + 768a )cosh(x) +--R + +--R 2 3 3 2 4 +--R (72a b + 320a b + 320a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 5 +--R (144a b + 384a b + 384a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (288a b + 1344a b + 2304a b + 1536a b)cosh(x) +--R + +--R 4 2 3 3 2 +--R (144a b + 640a b + 640a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 5 +--R (72b + 192a b + 192a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (144b + 672a b + 1152a b + 768a b )cosh(x) +--R + +--R 5 4 2 3 +--R (72b + 320a b + 320a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 4 6 +--R (12a b + 32a b + 32a b)cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (36a b + 168a b + 288a b + 192a )cosh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 +--R (36a b + 160a b + 160a b)cosh(x) + 12a b + 24a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 6 +--R (24a b + 64a b + 64a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (72a b + 336a b + 576a b + 384a b)cosh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (72a b + 320a b + 320a b )cosh(x) + 24a b + 48a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 6 +--R (12b + 32a b + 32a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (36b + 168a b + 288a b + 192a b )cosh(x) +--R + +--R 5 4 2 3 2 5 4 +--R (36b + 160a b + 160a b )cosh(x) + 12b + 24a b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b + a \|a b + a +--R / +--R 4 4 5 3 6 2 4 +--R (16a b + 32a b + 16a b )sech(x) +--R + +--R 3 5 4 4 5 3 2 2 6 3 5 4 4 +--R (32a b + 64a b + 32a b )sech(x) + 16a b + 32a b + 16a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 4 +--R (128a b + 256a b + 128a b )cosh(x)sech(x) +--R + +--R 3 5 4 4 5 3 2 +--R (256a b + 512a b + 256a b )cosh(x)sech(x) +--R + +--R 2 6 3 5 4 4 +--R (128a b + 256a b + 128a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 2 4 4 5 3 +--R (448a b + 896a b + 448a b )cosh(x) + 64a b + 256a b +--R + +--R 6 2 7 +--R 320a b + 128a b +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 2 3 5 4 4 +--R (896a b + 1792a b + 896a b )cosh(x) + 128a b + 512a b +--R + +--R 5 3 6 2 +--R 640a b + 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 2 2 6 3 5 4 4 +--R (448a b + 896a b + 448a b )cosh(x) + 64a b + 256a b + 320a b +--R + +--R 5 3 +--R 128a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 3 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (384a b + 1536a b + 1920a b + 768a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 3 +--R (1792a b + 3584a b + 1792a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R (768a b + 3072a b + 3840a b + 1536a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 3 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R (384a b + 1536a b + 1920a b + 768a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 4 +--R (1120a b + 2240a b + 1120a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 +--R (960a b + 3840a b + 4800a b + 1920a b)cosh(x) + 96a b +--R + +--R 5 3 6 2 7 8 +--R 448a b + 864a b + 768a b + 256a +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 4 +--R (2240a b + 4480a b + 2240a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 3 5 +--R (1920a b + 7680a b + 9600a b + 3840a b )cosh(x) + 192a b +--R + +--R 4 4 5 3 6 2 7 +--R 896a b + 1728a b + 1536a b + 512a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 4 +--R (1120a b + 2240a b + 1120a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 2 2 6 +--R (960a b + 3840a b + 4800a b + 1920a b )cosh(x) + 96a b +--R + +--R 3 5 4 4 5 3 6 2 +--R 448a b + 864a b + 768a b + 256a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 5 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (1280a b + 5120a b + 6400a b + 2560a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 5 +--R (1792a b + 3584a b + 1792a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 3 +--R (2560a b + 10240a b + 12800a b + 5120a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (768a b + 3584a b + 6912a b + 6144a b + 2048a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 5 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 3 +--R (1280a b + 5120a b + 6400a b + 2560a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 6 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (960a b + 3840a b + 4800a b + 1920a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 2 +--R (576a b + 2688a b + 5184a b + 4608a b + 1536a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R 64a b + 256a b + 320a b + 128a b +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 6 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 4 +--R (1920a b + 7680a b + 9600a b + 3840a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 2 +--R (1152a b + 5376a b + 10368a b + 9216a b + 3072a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R 128a b + 512a b + 640a b + 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 6 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 4 +--R (960a b + 3840a b + 4800a b + 1920a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (576a b + 2688a b + 5184a b + 4608a b + 1536a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R 64a b + 256a b + 320a b + 128a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (128a b + 256a b + 128a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (384a b + 1536a b + 1920a b + 768a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 3 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (128a b + 512a b + 640a b + 256a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 7 +--R (256a b + 512a b + 256a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 5 +--R (768a b + 3072a b + 3840a b + 1536a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 3 +--R (768a b + 3584a b + 6912a b + 6144a b + 2048a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R (256a b + 1024a b + 1280a b + 512a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 7 +--R (128a b + 256a b + 128a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 5 +--R (384a b + 1536a b + 1920a b + 768a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R (128a b + 512a b + 640a b + 256a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 4 5 3 6 2 8 +--R (16a b + 32a b + 16a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (64a b + 256a b + 320a b + 128a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 4 +--R (96a b + 448a b + 864a b + 768a b + 256a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 5 3 +--R (64a b + 256a b + 320a b + 128a b)cosh(x) + 16a b + 32a b +--R + +--R 6 2 +--R 16a b +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 8 +--R (32a b + 64a b + 32a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (128a b + 512a b + 640a b + 256a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 4 +--R (192a b + 896a b + 1728a b + 1536a b + 512a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 3 5 4 4 +--R (128a b + 512a b + 640a b + 256a b )cosh(x) + 32a b + 64a b +--R + +--R 5 3 +--R 32a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 8 +--R (16a b + 32a b + 16a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 +--R (64a b + 256a b + 320a b + 128a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 4 +--R (96a b + 448a b + 864a b + 768a b + 256a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 2 2 6 3 5 4 4 +--R (64a b + 256a b + 320a b + 128a b )cosh(x) + 16a b + 32a b + 16a b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|a \|b + a \|a b + a +--R Type: Expression Integer +--E 482 + +--S 483 of 510 +--d0194a:= D(m0194a,x) +--E 483 + +--S 484 of 510 +m0194b:= a0194.2-r0194 +--R +--R +--R (285) +--R 2 4 3 3 4 2 4 +--R (- 3a b - 8a b - 8a b )sech(x) +--R + +--R 5 2 4 3 3 2 6 5 2 4 +--R (- 6a b - 16a b - 16a b )sech(x) - 3b - 8a b - 8a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 24a b - 64a b - 64a b )cosh(x)sech(x) +--R + +--R 5 2 4 3 3 2 +--R (- 48a b - 128a b - 128a b )cosh(x)sech(x) +--R + +--R 6 5 2 4 +--R (- 24b - 64a b - 64a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 84a b - 224a b - 224a b )cosh(x) - 12a b - 56a b +--R + +--R 4 2 5 +--R - 96a b - 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (- 168a b - 448a b - 448a b )cosh(x) - 24a b - 112a b +--R + +--R 3 3 4 2 +--R - 192a b - 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 2 6 5 2 4 +--R (- 84b - 224a b - 224a b )cosh(x) - 12b - 56a b - 96a b +--R + +--R 3 3 +--R - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 72a b - 336a b - 576a b - 384a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 3 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 144a b - 672a b - 1152a b - 768a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 3 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 72b - 336a b - 576a b - 384a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 210a b - 560a b - 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 180a b - 840a b - 1440a b - 960a b)cosh(x) - 18a b +--R + +--R 3 3 4 2 5 6 +--R - 96a b - 224a b - 256a b - 128a +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 4 +--R (- 420a b - 1120a b - 1120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 360a b - 1680a b - 2880a b - 1920a b )cosh(x) - 36a b +--R + +--R 2 4 3 3 4 2 5 +--R - 192a b - 448a b - 512a b - 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 4 +--R (- 210b - 560a b - 560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 180b - 840a b - 1440a b - 960a b )cosh(x) - 18b - 96a b +--R + +--R 2 4 3 3 4 2 +--R - 224a b - 256a b - 128a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 240a b - 1120a b - 1920a b - 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 5 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 480a b - 2240a b - 3840a b - 2560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 5 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 240b - 1120a b - 1920a b - 1280a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 72b - 384a b - 896a b - 1024a b - 512a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 84a b - 224a b - 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 180a b - 840a b - 1440a b - 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 108a b - 576a b - 1344a b - 1536a b - 768a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R - 12a b - 56a b - 96a b - 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 6 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 360a b - 1680a b - 2880a b - 1920a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 216a b - 1152a b - 2688a b - 3072a b - 1536a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 24a b - 112a b - 192a b - 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 6 +--R (- 84b - 224a b - 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 180b - 840a b - 1440a b - 960a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 108b - 576a b - 1344a b - 1536a b - 768a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R - 12b - 56a b - 96a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 24a b - 64a b - 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 72a b - 336a b - 576a b - 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 7 +--R (- 48a b - 128a b - 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 144a b - 672a b - 1152a b - 768a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 48a b - 224a b - 384a b - 256a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 7 +--R (- 24b - 64a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 72b - 336a b - 576a b - 384a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 72b - 384a b - 896a b - 1024a b - 512a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 24b - 112a b - 192a b - 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 3a b - 8a b - 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 12a b - 56a b - 96a b - 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 18a b - 96a b - 224a b - 256a b - 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (- 12a b - 56a b - 96a b - 64a b)cosh(x) - 3a b - 8a b +--R + +--R 4 2 +--R - 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 8 +--R (- 6a b - 16a b - 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 24a b - 112a b - 192a b - 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 36a b - 192a b - 448a b - 512a b - 256a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 +--R (- 24a b - 112a b - 192a b - 128a b )cosh(x) - 6a b - 16a b +--R + +--R 3 3 +--R - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 8 +--R (- 3b - 8a b - 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 12b - 56a b - 96a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 18b - 96a b - 224a b - 256a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (- 12b - 56a b - 96a b - 64a b )cosh(x) - 3b - 8a b - 8a b +--R * +--R +----------+ +-+ +--R | 2 tanh(x)\|a +--R \|- a b - a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 4 3 3 4 2 4 +--R (- 3a b - 8a b - 8a b )sech(x) +--R + +--R 5 2 4 3 3 2 6 5 2 4 +--R (- 6a b - 16a b - 16a b )sech(x) - 3b - 8a b - 8a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 24a b - 64a b - 64a b )cosh(x)sech(x) +--R + +--R 5 2 4 3 3 2 +--R (- 48a b - 128a b - 128a b )cosh(x)sech(x) +--R + +--R 6 5 2 4 +--R (- 24b - 64a b - 64a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 2 2 4 3 3 +--R (- 84a b - 224a b - 224a b )cosh(x) - 12a b - 56a b +--R + +--R 4 2 5 +--R - 96a b - 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 2 5 2 4 +--R (- 168a b - 448a b - 448a b )cosh(x) - 24a b - 112a b +--R + +--R 3 3 4 2 +--R - 192a b - 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 2 6 5 2 4 +--R (- 84b - 224a b - 224a b )cosh(x) - 12b - 56a b - 96a b +--R + +--R 3 3 +--R - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 3 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 72a b - 336a b - 576a b - 384a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 3 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 144a b - 672a b - 1152a b - 768a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 3 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 72b - 336a b - 576a b - 384a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 4 +--R (- 210a b - 560a b - 560a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 +--R (- 180a b - 840a b - 1440a b - 960a b)cosh(x) - 18a b +--R + +--R 3 3 4 2 5 6 +--R - 96a b - 224a b - 256a b - 128a +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 4 +--R (- 420a b - 1120a b - 1120a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 +--R (- 360a b - 1680a b - 2880a b - 1920a b )cosh(x) - 36a b +--R + +--R 2 4 3 3 4 2 5 +--R - 192a b - 448a b - 512a b - 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 4 +--R (- 210b - 560a b - 560a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 +--R (- 180b - 840a b - 1440a b - 960a b )cosh(x) - 18b - 96a b +--R + +--R 2 4 3 3 4 2 +--R - 224a b - 256a b - 128a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 +--R (- 240a b - 1120a b - 1920a b - 1280a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 5 +--R (- 336a b - 896a b - 896a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 480a b - 2240a b - 3840a b - 2560a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 5 +--R (- 168b - 448a b - 448a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 240b - 1120a b - 1920a b - 1280a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R (- 72b - 384a b - 896a b - 1024a b - 512a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 6 +--R (- 84a b - 224a b - 224a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 4 +--R (- 180a b - 840a b - 1440a b - 960a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 108a b - 576a b - 1344a b - 1536a b - 768a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R - 12a b - 56a b - 96a b - 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 6 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 360a b - 1680a b - 2880a b - 1920a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 216a b - 1152a b - 2688a b - 3072a b - 1536a b) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R - 24a b - 112a b - 192a b - 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 6 +--R (- 84b - 224a b - 224a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (- 180b - 840a b - 1440a b - 960a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- 108b - 576a b - 1344a b - 1536a b - 768a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R - 12b - 56a b - 96a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 3 3 4 2 7 +--R (- 24a b - 64a b - 64a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 72a b - 336a b - 576a b - 384a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 7 +--R (- 48a b - 128a b - 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 144a b - 672a b - 1152a b - 768a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 3 +--R (- 144a b - 768a b - 1792a b - 2048a b - 1024a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 +--R (- 48a b - 224a b - 384a b - 256a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 7 +--R (- 24b - 64a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 5 +--R (- 72b - 336a b - 576a b - 384a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 72b - 384a b - 896a b - 1024a b - 512a b )cosh(x) +--R + +--R 6 5 2 4 3 3 +--R (- 24b - 112a b - 192a b - 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 4 2 8 +--R (- 3a b - 8a b - 8a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (- 12a b - 56a b - 96a b - 64a b)cosh(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 18a b - 96a b - 224a b - 256a b - 128a )cosh(x) +--R + +--R 2 4 3 3 4 2 5 2 2 4 3 3 +--R (- 12a b - 56a b - 96a b - 64a b)cosh(x) - 3a b - 8a b +--R + +--R 4 2 +--R - 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 5 2 4 3 3 8 +--R (- 6a b - 16a b - 16a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 6 +--R (- 24a b - 112a b - 192a b - 128a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 36a b - 192a b - 448a b - 512a b - 256a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 5 2 4 +--R (- 24a b - 112a b - 192a b - 128a b )cosh(x) - 6a b - 16a b +--R + +--R 3 3 +--R - 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 5 2 4 8 +--R (- 3b - 8a b - 8a b )cosh(x) +--R + +--R 6 5 2 4 3 3 6 +--R (- 12b - 56a b - 96a b - 64a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 18b - 96a b - 224a b - 256a b - 128a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 6 5 2 4 +--R (- 12b - 56a b - 96a b - 64a b )cosh(x) - 3b - 8a b - 8a b +--R * +--R +-+ +-----+ +--R \|a \|b + a +--R * +--R +----------+ +--R 2 2 | 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a)\|- a b - a +--R atan(-------------------------------------------------------------------) +--R 2 +--R 2a b + 2a +--R + +--R 4 2 3 3 2 8 +--R (- 8a b - 16a b - 8a b )sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 64a b - 128a b - 64a b )cosh(x)sinh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (- 224a b - 448a b - 224a b )cosh(x) - 32a b - 128a b +--R + +--R 3 2 4 +--R - 160a b - 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 +--R (- 448a b - 896a b - 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 192a b - 768a b - 960a b - 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 560a b - 1120a b - 560a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (- 480a b - 1920a b - 2400a b - 960a b)cosh(x) - 48a b +--R + +--R 2 3 3 2 4 5 +--R - 224a b - 432a b - 384a b - 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 5 +--R (- 448a b - 896a b - 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 640a b - 2560a b - 3200a b - 1280a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 192a b - 896a b - 1728a b - 1536a b - 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 6 +--R (- 224a b - 448a b - 224a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 480a b - 1920a b - 2400a b - 960a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 288a b - 1344a b - 2592a b - 2304a b - 768a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R - 32a b - 128a b - 160a b - 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 64a b - 128a b - 64a b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 192a b - 768a b - 960a b - 384a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 192a b - 896a b - 1728a b - 1536a b - 512a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 64a b - 256a b - 320a b - 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 8 +--R (- 8a b - 16a b - 8a b )cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 32a b - 128a b - 160a b - 64a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 48a b - 224a b - 432a b - 384a b - 128a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (- 32a b - 128a b - 160a b - 64a b)cosh(x) - 8a b - 16a b +--R + +--R 3 2 +--R - 8a b +--R * +--R 3 +--R tanh(x) +--R + +--R 4 2 3 3 2 2 5 4 2 3 +--R (- 3a b - 8a b - 8a b )sech(x) + 3b + 14a b + 16a b +--R + +--R 3 2 +--R 8a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 2 3 3 2 2 +--R (- 24a b - 64a b - 64a b )cosh(x)sech(x) +--R + +--R 5 4 2 3 3 2 +--R (24b + 112a b + 128a b + 64a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (- 84a b - 224a b - 224a b )cosh(x) - 12a b - 56a b +--R + +--R 3 2 4 +--R - 96a b - 64a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (84b + 392a b + 448a b + 224a b )cosh(x) + 12b + 80a b +--R + +--R 2 3 3 2 4 +--R 176a b + 160a b + 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 2 3 3 2 3 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 72a b - 336a b - 576a b - 384a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 3 +--R (168b + 784a b + 896a b + 448a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (72b + 480a b + 1056a b + 960a b + 384a b)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 210a b - 560a b - 560a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 +--R (- 180a b - 840a b - 1440a b - 960a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R - 18a b - 96a b - 224a b - 256a b - 128a +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 4 +--R (210b + 980a b + 1120a b + 560a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 +--R (180b + 1200a b + 2640a b + 2400a b + 960a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R 18b + 132a b + 368a b + 528a b + 384a b + 128a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 3 3 2 5 +--R (- 168a b - 448a b - 448a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- 240a b - 1120a b - 1920a b - 1280a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 5 +--R (168b + 784a b + 896a b + 448a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (240b + 1600a b + 3520a b + 3200a b + 1280a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (72b + 528a b + 1472a b + 2112a b + 1536a b + 512a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 3 3 2 6 +--R (- 84a b - 224a b - 224a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (- 180a b - 840a b - 1440a b - 960a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 108a b - 576a b - 1344a b - 1536a b - 768a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 4 2 3 3 2 4 +--R - 12a b - 56a b - 96a b - 64a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 6 +--R (84b + 392a b + 448a b + 224a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (180b + 1200a b + 2640a b + 2400a b + 960a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (108b + 792a b + 2208a b + 3168a b + 2304a b + 768a ) +--R * +--R 2 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R 12b + 80a b + 176a b + 160a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 3 3 2 7 +--R (- 24a b - 64a b - 64a b )cosh(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- 72a b - 336a b - 576a b - 384a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- 72a b - 384a b - 896a b - 1024a b - 512a )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (- 24a b - 112a b - 192a b - 128a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 7 +--R (24b + 112a b + 128a b + 64a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (72b + 480a b + 1056a b + 960a b + 384a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (72b + 528a b + 1472a b + 2112a b + 1536a b + 512a ) +--R * +--R 3 +--R cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (24b + 160a b + 352a b + 320a b + 128a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 3 2 8 +--R (- 3a b - 8a b - 8a b )cosh(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 12a b - 56a b - 96a b - 64a b)cosh(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 18a b - 96a b - 224a b - 256a b - 128a )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (- 12a b - 56a b - 96a b - 64a b)cosh(x) - 3a b - 8a b +--R + +--R 3 2 +--R - 8a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 2 8 +--R (3b + 14a b + 16a b + 8a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 6 +--R (12b + 80a b + 176a b + 160a b + 64a b)cosh(x) +--R + +--R 5 4 2 3 3 2 4 5 4 +--R (18b + 132a b + 368a b + 528a b + 384a b + 128a )cosh(x) +--R + +--R 5 4 2 3 3 2 4 2 5 +--R (12b + 80a b + 176a b + 160a b + 64a b)cosh(x) + 3b +--R + +--R 4 2 3 3 2 +--R 14a b + 16a b + 8a b +--R * +--R tanh(x) +--R + +--R 2 3 3 2 4 4 +--R (6a b + 16a b + 16a b)sech(x) +--R + +--R 4 2 3 3 2 2 5 4 2 3 +--R (12a b + 32a b + 32a b )sech(x) + 6b + 16a b + 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 4 4 +--R (36a b + 96a b + 96a b)cosh(x)sech(x) +--R + +--R 4 2 3 3 2 2 +--R (72a b + 192a b + 192a b )cosh(x)sech(x) +--R + +--R 5 4 2 3 +--R (36b + 96a b + 96a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 +--R (90a b + 240a b + 240a b)cosh(x) + 18a b + 84a b +--R + +--R 4 5 +--R 144a b + 96a +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (180a b + 480a b + 480a b )cosh(x) + 36a b + 168a b +--R + +--R 3 2 4 +--R 288a b + 192a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (90b + 240a b + 240a b )cosh(x) + 18b + 84a b + 144a b +--R + +--R 3 2 +--R 96a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 3 2 4 3 +--R (120a b + 320a b + 320a b)cosh(x) +--R + +--R 2 3 3 2 4 5 +--R (72a b + 336a b + 576a b + 384a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 3 +--R (240a b + 640a b + 640a b )cosh(x) +--R + +--R 4 2 3 3 2 4 +--R (144a b + 672a b + 1152a b + 768a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 3 +--R (120b + 320a b + 320a b )cosh(x) +--R + +--R 5 4 2 3 3 2 +--R (72b + 336a b + 576a b + 384a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 3 2 4 4 +--R (90a b + 240a b + 240a b)cosh(x) +--R + +--R 2 3 3 2 4 5 2 2 3 +--R (108a b + 504a b + 864a b + 576a )cosh(x) + 18a b +--R + +--R 3 2 4 +--R 80a b + 80a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 4 +--R (180a b + 480a b + 480a b )cosh(x) +--R + +--R 4 2 3 3 2 4 2 4 +--R (216a b + 1008a b + 1728a b + 1152a b)cosh(x) + 36a b +--R + +--R 2 3 3 2 +--R 160a b + 160a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 4 +--R (90b + 240a b + 240a b )cosh(x) +--R + +--R 5 4 2 3 3 2 2 5 4 +--R (108b + 504a b + 864a b + 576a b )cosh(x) + 18b + 80a b +--R + +--R 2 3 +--R 80a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 3 2 4 5 +--R (36a b + 96a b + 96a b)cosh(x) +--R + +--R 2 3 3 2 4 5 3 +--R (72a b + 336a b + 576a b + 384a )cosh(x) +--R + +--R 2 3 3 2 4 +--R (36a b + 160a b + 160a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 5 +--R (72a b + 192a b + 192a b )cosh(x) +--R + +--R 4 2 3 3 2 4 3 +--R (144a b + 672a b + 1152a b + 768a b)cosh(x) +--R + +--R 4 2 3 3 2 +--R (72a b + 320a b + 320a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 5 +--R (36b + 96a b + 96a b )cosh(x) +--R + +--R 5 4 2 3 3 2 3 +--R (72b + 336a b + 576a b + 384a b )cosh(x) +--R + +--R 5 4 2 3 +--R (36b + 160a b + 160a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 4 6 +--R (6a b + 16a b + 16a b)cosh(x) +--R + +--R 2 3 3 2 4 5 4 +--R (18a b + 84a b + 144a b + 96a )cosh(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 +--R (18a b + 80a b + 80a b)cosh(x) + 6a b + 12a b +--R * +--R 4 +--R sech(x) +--R + +--R 4 2 3 3 2 6 +--R (12a b + 32a b + 32a b )cosh(x) +--R + +--R 4 2 3 3 2 4 4 +--R (36a b + 168a b + 288a b + 192a b)cosh(x) +--R + +--R 4 2 3 3 2 2 4 2 3 +--R (36a b + 160a b + 160a b )cosh(x) + 12a b + 24a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 4 2 3 6 +--R (6b + 16a b + 16a b )cosh(x) +--R + +--R 5 4 2 3 3 2 4 +--R (18b + 84a b + 144a b + 96a b )cosh(x) +--R + +--R 5 4 2 3 2 5 4 +--R (18b + 80a b + 80a b )cosh(x) + 6b + 12a b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R / +--R 4 4 5 3 6 2 4 +--R (8a b + 16a b + 8a b )sech(x) +--R + +--R 3 5 4 4 5 3 2 2 6 3 5 4 4 +--R (16a b + 32a b + 16a b )sech(x) + 8a b + 16a b + 8a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 4 +--R (64a b + 128a b + 64a b )cosh(x)sech(x) +--R + +--R 3 5 4 4 5 3 2 +--R (128a b + 256a b + 128a b )cosh(x)sech(x) +--R + +--R 2 6 3 5 4 4 +--R (64a b + 128a b + 64a b )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 2 4 4 5 3 +--R (224a b + 448a b + 224a b )cosh(x) + 32a b + 128a b +--R + +--R 6 2 7 +--R 160a b + 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 2 3 5 4 4 +--R (448a b + 896a b + 448a b )cosh(x) + 64a b + 256a b +--R + +--R 5 3 6 2 +--R 320a b + 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 2 2 6 3 5 4 4 +--R (224a b + 448a b + 224a b )cosh(x) + 32a b + 128a b + 160a b +--R + +--R 5 3 +--R 64a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 3 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (192a b + 768a b + 960a b + 384a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 3 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R (384a b + 1536a b + 1920a b + 768a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 3 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R (192a b + 768a b + 960a b + 384a b )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 4 +--R (560a b + 1120a b + 560a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 +--R (480a b + 1920a b + 2400a b + 960a b)cosh(x) + 48a b +--R + +--R 5 3 6 2 7 8 +--R 224a b + 432a b + 384a b + 128a +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 4 +--R (1120a b + 2240a b + 1120a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 3 5 +--R (960a b + 3840a b + 4800a b + 1920a b )cosh(x) + 96a b +--R + +--R 4 4 5 3 6 2 7 +--R 448a b + 864a b + 768a b + 256a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 4 +--R (560a b + 1120a b + 560a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 2 2 6 +--R (480a b + 1920a b + 2400a b + 960a b )cosh(x) + 48a b +--R + +--R 3 5 4 4 5 3 6 2 +--R 224a b + 432a b + 384a b + 128a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 5 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 3 +--R (640a b + 2560a b + 3200a b + 1280a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (192a b + 896a b + 1728a b + 1536a b + 512a )cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 5 +--R (896a b + 1792a b + 896a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 3 +--R (1280a b + 5120a b + 6400a b + 2560a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a b)cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 5 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 3 +--R (640a b + 2560a b + 3200a b + 1280a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (192a b + 896a b + 1728a b + 1536a b + 512a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 6 +--R (224a b + 448a b + 224a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (480a b + 1920a b + 2400a b + 960a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 2 +--R (288a b + 1344a b + 2592a b + 2304a b + 768a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R 32a b + 128a b + 160a b + 64a b +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 6 +--R (448a b + 896a b + 448a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 4 +--R (960a b + 3840a b + 4800a b + 1920a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 2 +--R (576a b + 2688a b + 5184a b + 4608a b + 1536a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R 64a b + 256a b + 320a b + 128a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 6 +--R (224a b + 448a b + 224a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 4 +--R (480a b + 1920a b + 2400a b + 960a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (288a b + 1344a b + 2592a b + 2304a b + 768a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R 32a b + 128a b + 160a b + 64a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (64a b + 128a b + 64a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 5 +--R (192a b + 768a b + 960a b + 384a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 3 +--R (192a b + 896a b + 1728a b + 1536a b + 512a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 +--R (64a b + 256a b + 320a b + 128a b)cosh(x) +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 7 +--R (128a b + 256a b + 128a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 5 +--R (384a b + 1536a b + 1920a b + 768a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 3 +--R (384a b + 1792a b + 3456a b + 3072a b + 1024a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R (128a b + 512a b + 640a b + 256a b )cosh(x) +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 7 +--R (64a b + 128a b + 64a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 5 +--R (192a b + 768a b + 960a b + 384a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (192a b + 896a b + 1728a b + 1536a b + 512a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R (64a b + 256a b + 320a b + 128a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 4 5 3 6 2 8 +--R (8a b + 16a b + 8a b )cosh(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (32a b + 128a b + 160a b + 64a b)cosh(x) +--R + +--R 4 4 5 3 6 2 7 8 4 +--R (48a b + 224a b + 432a b + 384a b + 128a )cosh(x) +--R + +--R 4 4 5 3 6 2 7 2 4 4 5 3 6 2 +--R (32a b + 128a b + 160a b + 64a b)cosh(x) + 8a b + 16a b + 8a b +--R * +--R 4 +--R sech(x) +--R + +--R 3 5 4 4 5 3 8 +--R (16a b + 32a b + 16a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (64a b + 256a b + 320a b + 128a b )cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 7 4 +--R (96a b + 448a b + 864a b + 768a b + 256a b)cosh(x) +--R + +--R 3 5 4 4 5 3 6 2 2 3 5 4 4 +--R (64a b + 256a b + 320a b + 128a b )cosh(x) + 16a b + 32a b +--R + +--R 5 3 +--R 16a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 6 3 5 4 4 8 +--R (8a b + 16a b + 8a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 +--R (32a b + 128a b + 160a b + 64a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 4 +--R (48a b + 224a b + 432a b + 384a b + 128a b )cosh(x) +--R + +--R 2 6 3 5 4 4 5 3 2 2 6 3 5 4 4 +--R (32a b + 128a b + 160a b + 64a b )cosh(x) + 8a b + 16a b + 8a b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- a b - a \|a \|b + a +--R Type: Expression Integer +--E 484 + +--S 485 of 510 +--d0194b:= D(m0194b,x) +--E 485 + +--S 486 of 510 +t0195:= 1/(1+cosh(x)^2) +--R +--R +--R 1 +--R (286) ------------ +--R 2 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 486 + +--S 487 of 510 +r0195:= 1/2*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2) +--R +--R +--R +-+ +--R +-+ \|2 tanh(x) +--R \|2 atanh(-----------) +--R 2 +--R (287) ---------------------- +--R 2 +--R Type: Expression Integer +--E 487 + +--S 488 of 510 +a0195:= integrate(t0195,x) +--R +--R +--R (288) +--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 +-+ +--R 2\|2 +--R Type: Union(Expression Integer,...) +--E 488 + +--S 489 of 510 +m0195:= a0195-r0195 +--R +--R +--R (289) +--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 +-+ +--R \|2 tanh(x) +--R - 2atanh(-----------) +--R 2 +--R / +--R +-+ +--R 2\|2 +--R Type: Expression Integer +--E 489 + +--S 490 of 510 +d0195:= D(m0195,x) +--R +--R +--R (290) +--R +-+ 4 +-+ 3 +--R (- 3\|2 + 4)sinh(x) + (16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 30\|2 + 40)cosh(x) - 12\|2 + 16)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((16\|2 - 24)cosh(x) + (16\|2 - 24)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 3\|2 + 4)cosh(x) + (- 12\|2 + 16)cosh(x) - 9\|2 + 12 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (- 3\|2 + 4)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((42\|2 - 56)cosh(x) - 6\|2 + 8)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 16\|2 + 24)cosh(x) + (16\|2 - 24)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 3\|2 + 4)cosh(x) + (- 6\|2 + 8)cosh(x) + 9\|2 - 12 +--R / +--R +-+ 4 +-+ 3 +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((18\|2 - 24)cosh(x) + 30\|2 - 40)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 16\|2 + 24)cosh(x) + (- 48\|2 + 72)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + (30\|2 - 40)cosh(x) + 9\|2 - 12 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (- 18\|2 + 24)sinh(x) + (32\|2 - 48)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 36\|2 + 48)cosh(x) - 60\|2 + 80)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((32\|2 - 48)cosh(x) + (96\|2 - 144)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 18\|2 + 24)cosh(x) + (- 60\|2 + 80)cosh(x) - 18\|2 + 24 +--R Type: Expression Integer +--E 490 + +--S 491 of 510 +t0196:= 1/(1+cosh(x)^2)^2 +--R +--R +--R 1 +--R (291) ------------------------ +--R 4 2 +--R cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 491 + +--S 492 of 510 +r0196:= 3/8*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)-tanh(x)/(8-4*tanh(x)^2) +--R +--R +--R +-+ +--R +-+ 2 +-+ \|2 tanh(x) +--R (3\|2 tanh(x) - 6\|2 )atanh(-----------) + 2tanh(x) +--R 2 +--R (292) ---------------------------------------------------- +--R 2 +--R 8tanh(x) - 16 +--R Type: Expression Integer +--E 492 + +--S 493 of 510 +a0196:= integrate(t0196,x) +--R +--R +--R (293) +--R 4 3 2 2 +--R 3sinh(x) + 12cosh(x)sinh(x) + (18cosh(x) + 18)sinh(x) +--R + +--R 3 4 2 +--R (12cosh(x) + 36cosh(x))sinh(x) + 3cosh(x) + 18cosh(x) + 3 +--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 +-+ 2 +-+ +-+ 2 +-+ +--R 12\|2 sinh(x) + 24\|2 cosh(x)sinh(x) + 12\|2 cosh(x) + 4\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 +-+ 2 +--R 8\|2 sinh(x) + 32\|2 cosh(x)sinh(x) + (48\|2 cosh(x) + 48\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (32\|2 cosh(x) + 96\|2 cosh(x))sinh(x) + 8\|2 cosh(x) + 48\|2 cosh(x) +--R + +--R +-+ +--R 8\|2 +--R Type: Union(Expression Integer,...) +--E 493 + +--S 494 of 510 +m0196:= a0196-r0196 +--R +--R +--R (294) +--R 4 3 2 2 +--R 3sinh(x) + 12cosh(x)sinh(x) + (18cosh(x) + 18)sinh(x) +--R + +--R 3 4 2 +--R (12cosh(x) + 36cosh(x))sinh(x) + 3cosh(x) + 18cosh(x) + 3 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - 6sinh(x) - 24cosh(x)sinh(x) + (- 36cosh(x) - 36)sinh(x) +--R + +--R 3 4 2 +--R (- 24cosh(x) - 72cosh(x))sinh(x) - 6cosh(x) - 36cosh(x) - 6 +--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 - 6sinh(x) - 24cosh(x)sinh(x) + (- 36cosh(x) - 36)sinh(x) +--R + +--R 3 4 2 +--R (- 24cosh(x) - 72cosh(x))sinh(x) - 6cosh(x) - 36cosh(x) - 6 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R 12sinh(x) + 48cosh(x)sinh(x) + (72cosh(x) + 72)sinh(x) +--R + +--R 3 4 2 +--R (48cosh(x) + 144cosh(x))sinh(x) + 12cosh(x) + 72cosh(x) + 12 +--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 8\|2 sinh(x) + 32\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (48\|2 cosh(x) + 48\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (32\|2 cosh(x) + 96\|2 cosh(x))sinh(x) + 8\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R 48\|2 cosh(x) + 8\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 16\|2 sinh(x) - 64\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 96\|2 cosh(x) - 96\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (- 64\|2 cosh(x) - 192\|2 cosh(x))sinh(x) - 16\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 96\|2 cosh(x) - 16\|2 +--R Type: Expression Integer +--E 494 + +--S 495 of 510 +d0196:= D(m0196,x) +--R +--R +--R (295) +--R +-+ 12 +-+ 11 +--R (- 9\|2 + 12)sinh(x) + (- 40\|2 + 48)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 50\|2 + 24)cosh(x) - 195\|2 + 260)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 8\|2 - 144)cosh(x) + (- 708\|2 + 856)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 103\|2 - 204)cosh(x) + (- 879\|2 + 628)cosh(x) - 972\|2 +--R + +--R 1296 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 464\|2 + 96)cosh(x) + (- 864\|2 - 352)cosh(x) +--R + +--R +-+ +--R (- 2968\|2 + 3600)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 700\|2 + 336)cosh(x) + (- 1998\|2 + 136)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 3808\|2 + 3360)cosh(x) - 1806\|2 + 2408 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 464\|2 + 96)cosh(x) + (- 3000\|2 + 1040)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4072\|2 + 1776)cosh(x) + (- 4944\|2 + 6176)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 103\|2 - 204)cosh(x) + (- 1998\|2 + 136)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 4520\|2 + 1440)cosh(x) + (- 5562\|2 + 5912)cosh(x) +--R + +--R +-+ +--R - 1305\|2 + 1740 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 8\|2 - 144)cosh(x) + (- 864\|2 - 352)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4072\|2 + 1776)cosh(x) + (- 4848\|2 + 4288)cosh(x) +--R + +--R +-+ +--R (- 3136\|2 + 4032)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 50\|2 + 24)cosh(x) + (- 879\|2 + 628)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 3808\|2 + 3360)cosh(x) + (- 5562\|2 + 5912)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 3798\|2 + 4776)cosh(x) - 303\|2 + 404 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 40\|2 + 48)cosh(x) + (- 708\|2 + 856)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 2968\|2 + 3600)cosh(x) + (- 4944\|2 + 6176)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3136\|2 + 4032)cosh(x) + (- 492\|2 + 648)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 9\|2 + 12)cosh(x) + (- 195\|2 + 260)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 972\|2 + 1296)cosh(x) + (- 1806\|2 + 2408)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 1305\|2 + 1740)cosh(x) + (- 303\|2 + 404)cosh(x) - 18\|2 + 24 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 11 +--R (- 64\|2 + 96)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 368\|2 + 576)cosh(x) + 228\|2 - 304)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 704\|2 + 1248)cosh(x) + (240\|2 - 128)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 64\|2 + 768)cosh(x) + (- 1164\|2 + 2704)cosh(x) + 1044\|2 +--R + +--R - 1392 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1792\|2 - 1344)cosh(x) + (- 384\|2 + 3584)cosh(x) +--R + +--R +-+ +--R (2208\|2 - 2304)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (2912\|2 - 2688)cosh(x) + (7080\|2 - 4448)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3792\|2 - 2112)cosh(x) + 1800\|2 - 2400 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (1792\|2 - 1344)cosh(x) + (12576\|2 - 11008)cosh(x) +--R + +--R +-+ 3 +-+ +--R (12000\|2 - 9984)cosh(x) + (6144\|2 - 7872)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 64\|2 + 768)cosh(x) + (7080\|2 - 4448)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (18744\|2 - 17568)cosh(x) + (13272\|2 - 16800)cosh(x) +--R + +--R +-+ +--R 2376\|2 - 3168 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 704\|2 + 1248)cosh(x) + (- 384\|2 + 3584)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (12000\|2 - 9984)cosh(x) + (17856\|2 - 22656)cosh(x) +--R + +--R +-+ +--R (6560\|2 - 8544)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 368\|2 + 576)cosh(x) + (- 1164\|2 + 2704)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (3792\|2 - 2112)cosh(x) + (13272\|2 - 16800)cosh(x) +--R + +--R +-+ 2 +-+ +--R (8640\|2 - 11136)cosh(x) + 660\|2 - 880 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 64\|2 + 96)cosh(x) + (240\|2 - 128)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2208\|2 - 2304)cosh(x) + (6144\|2 - 7872)cosh(x) +--R + +--R +-+ 3 +-+ +--R (6560\|2 - 8544)cosh(x) + (1296\|2 - 1728)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (228\|2 - 304)cosh(x) + (1044\|2 - 1392)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1800\|2 - 2400)cosh(x) + (2376\|2 - 3168)cosh(x) +--R + +--R +-+ 2 +-+ +--R (660\|2 - 880)cosh(x) + 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (18\|2 - 24)sinh(x) + (176\|2 - 240)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((652\|2 - 912)cosh(x) + 48\|2 - 64)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((1072\|2 - 1584)cosh(x) + (1056\|2 - 1520)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((302\|2 - 744)cosh(x) + (3504\|2 - 5312)cosh(x) + 378\|2 - 504) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1760\|2 + 1824)cosh(x) + (2304\|2 - 4672)cosh(x) +--R + +--R +-+ +--R (2624\|2 - 3744)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 2968\|2 + 3360)cosh(x) + (- 6624\|2 + 6400)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1928\|2 - 3552)cosh(x) + 912\|2 - 1216 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 1760\|2 + 1824)cosh(x) + (- 12864\|2 + 14432)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 9856\|2 + 11424)cosh(x) + (672\|2 - 544)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (302\|2 - 744)cosh(x) + (- 6624\|2 + 6400)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 19076\|2 + 23472)cosh(x) + (- 8784\|2 + 13376)cosh(x) +--R + +--R +-+ +--R - 954\|2 + 1272 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (1072\|2 - 1584)cosh(x) + (2304\|2 - 4672)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 9856\|2 + 11424)cosh(x) + (- 17088\|2 + 25408)cosh(x) +--R + +--R +-+ +--R (- 3568\|2 + 4752)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (652\|2 - 912)cosh(x) + (3504\|2 - 5312)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1928\|2 - 3552)cosh(x) + (- 8784\|2 + 13376)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 5364\|2 + 7152)cosh(x) - 384\|2 + 512 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (176\|2 - 240)cosh(x) + (1056\|2 - 1520)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2624\|2 - 3744)cosh(x) + (672\|2 - 544)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 3568\|2 + 4752)cosh(x) + (- 960\|2 + 1296)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R (18\|2 - 24)cosh(x) + (48\|2 - 64)cosh(x) + (378\|2 - 504)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (912\|2 - 1216)cosh(x) + (- 954\|2 + 1272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 384\|2 + 512)cosh(x) - 18\|2 + 24 +--R / +--R +-+ 12 +-+ 11 +--R (18\|2 - 24)sinh(x) + (112\|2 - 144)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((284\|2 - 336)cosh(x) + 276\|2 - 368)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((368\|2 - 336)cosh(x) + (1296\|2 - 1648)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (238\|2 + 24)cosh(x) + (2340\|2 - 2608)cosh(x) + 1422\|2 +--R + +--R - 1896 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (32\|2 + 480)cosh(x) + (1920\|2 - 1088)cosh(x) +--R + +--R +-+ +--R (4832\|2 - 6048)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 56\|2 + 672)cosh(x) + (456\|2 + 1952)cosh(x) +--R + +--R +-+ 2 +-+ +--R (5720\|2 - 5664)cosh(x) + 2712\|2 - 3616 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (32\|2 + 480)cosh(x) + (- 288\|2 + 3424)cosh(x) +--R + +--R +-+ 3 +-+ +--R (2144\|2 + 1440)cosh(x) + (6816\|2 - 8416)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (238\|2 + 24)cosh(x) + (456\|2 + 1952)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 332\|2 + 5904)cosh(x) + (4488\|2 - 3424)cosh(x) + 1422\|2 +--R + +--R - 1896 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (368\|2 - 336)cosh(x) + (1920\|2 - 1088)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (2144\|2 + 1440)cosh(x) + (768\|2 + 2752)cosh(x) +--R + +--R +-+ +--R (2992\|2 - 3792)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (284\|2 - 336)cosh(x) + (2340\|2 - 2608)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (5720\|2 - 5664)cosh(x) + (4488\|2 - 3424)cosh(x) +--R + +--R +-+ 2 +-+ +--R (3276\|2 - 3984)cosh(x) + 276\|2 - 368 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (112\|2 - 144)cosh(x) + (1296\|2 - 1648)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (4832\|2 - 6048)cosh(x) + (6816\|2 - 8416)cosh(x) +--R + +--R +-+ 3 +-+ +--R (2992\|2 - 3792)cosh(x) + (336\|2 - 432)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (18\|2 - 24)cosh(x) + (276\|2 - 368)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (1422\|2 - 1896)cosh(x) + (2712\|2 - 3616)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (1422\|2 - 1896)cosh(x) + (276\|2 - 368)cosh(x) + 18\|2 - 24 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 72\|2 + 96)sinh(x) + (- 448\|2 + 576)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 1136\|2 + 1344)cosh(x) - 1104\|2 + 1472)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 1472\|2 + 1344)cosh(x) + (- 5184\|2 + 6592)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 952\|2 - 96)cosh(x) + (- 9360\|2 + 10432)cosh(x) +--R + +--R +-+ +--R - 5688\|2 + 7584 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 128\|2 - 1920)cosh(x) + (- 7680\|2 + 4352)cosh(x) +--R + +--R +-+ +--R (- 19328\|2 + 24192)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (224\|2 - 2688)cosh(x) + (- 1824\|2 - 7808)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 22880\|2 + 22656)cosh(x) - 10848\|2 + 14464 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 128\|2 - 1920)cosh(x) + (1152\|2 - 13696)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 8576\|2 - 5760)cosh(x) + (- 27264\|2 + 33664)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 952\|2 - 96)cosh(x) + (- 1824\|2 - 7808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (1328\|2 - 23616)cosh(x) + (- 17952\|2 + 13696)cosh(x) +--R + +--R +-+ +--R - 5688\|2 + 7584 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 1472\|2 + 1344)cosh(x) + (- 7680\|2 + 4352)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 8576\|2 - 5760)cosh(x) + (- 3072\|2 - 11008)cosh(x) +--R + +--R +-+ +--R (- 11968\|2 + 15168)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 1136\|2 + 1344)cosh(x) + (- 9360\|2 + 10432)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 22880\|2 + 22656)cosh(x) + (- 17952\|2 + 13696)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 13104\|2 + 15936)cosh(x) - 1104\|2 + 1472 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 448\|2 + 576)cosh(x) + (- 5184\|2 + 6592)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 19328\|2 + 24192)cosh(x) + (- 27264\|2 + 33664)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 11968\|2 + 15168)cosh(x) + (- 1344\|2 + 1728)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 72\|2 + 96)cosh(x) + (- 1104\|2 + 1472)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 5688\|2 + 7584)cosh(x) + (- 10848\|2 + 14464)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 5688\|2 + 7584)cosh(x) + (- 1104\|2 + 1472)cosh(x) - 72\|2 + 96 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (72\|2 - 96)sinh(x) + (448\|2 - 576)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((1136\|2 - 1344)cosh(x) + 1104\|2 - 1472)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((1472\|2 - 1344)cosh(x) + (5184\|2 - 6592)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((952\|2 + 96)cosh(x) + (9360\|2 - 10432)cosh(x) + 5688\|2 - 7584) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (128\|2 + 1920)cosh(x) + (7680\|2 - 4352)cosh(x) +--R + +--R +-+ +--R (19328\|2 - 24192)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 224\|2 + 2688)cosh(x) + (1824\|2 + 7808)cosh(x) +--R + +--R +-+ 2 +-+ +--R (22880\|2 - 22656)cosh(x) + 10848\|2 - 14464 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (128\|2 + 1920)cosh(x) + (- 1152\|2 + 13696)cosh(x) +--R + +--R +-+ 3 +-+ +--R (8576\|2 + 5760)cosh(x) + (27264\|2 - 33664)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (952\|2 + 96)cosh(x) + (1824\|2 + 7808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 1328\|2 + 23616)cosh(x) + (17952\|2 - 13696)cosh(x) + 5688\|2 +--R + +--R - 7584 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (1472\|2 - 1344)cosh(x) + (7680\|2 - 4352)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (8576\|2 + 5760)cosh(x) + (3072\|2 + 11008)cosh(x) +--R + +--R +-+ +--R (11968\|2 - 15168)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (1136\|2 - 1344)cosh(x) + (9360\|2 - 10432)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (22880\|2 - 22656)cosh(x) + (17952\|2 - 13696)cosh(x) +--R + +--R +-+ 2 +-+ +--R (13104\|2 - 15936)cosh(x) + 1104\|2 - 1472 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (448\|2 - 576)cosh(x) + (5184\|2 - 6592)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (19328\|2 - 24192)cosh(x) + (27264\|2 - 33664)cosh(x) +--R + +--R +-+ 3 +-+ +--R (11968\|2 - 15168)cosh(x) + (1344\|2 - 1728)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (72\|2 - 96)cosh(x) + (1104\|2 - 1472)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (5688\|2 - 7584)cosh(x) + (10848\|2 - 14464)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (5688\|2 - 7584)cosh(x) + (1104\|2 - 1472)cosh(x) + 72\|2 - 96 +--R Type: Expression Integer +--E 495 + +--S 496 of 510 +t0197:= 1/(1+cosh(x)^2)^3 +--R +--R +--R 1 +--R (296) ------------------------------------ +--R 6 4 2 +--R cosh(x) + 3cosh(x) + 3cosh(x) + 1 +--R Type: Expression Integer +--E 496 + +--S 497 of 510 +r0197:= 19/64*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)-15/8*tanh(x)/(2-tanh(x)^2)^2+_ + tanh(x)^3/(2-tanh(x)^2)^2+19*tanh(x)/(64-32*tanh(x)^2) +--R +--R +--R (297) +--R +-+ +--R +-+ 4 +-+ 2 +-+ \|2 tanh(x) 3 +--R (19\|2 tanh(x) - 76\|2 tanh(x) + 76\|2 )atanh(-----------) + 26tanh(x) +--R 2 +--R + +--R - 44tanh(x) +--R / +--R 4 2 +--R 64tanh(x) - 256tanh(x) + 256 +--R Type: Expression Integer +--E 497 + +--S 498 of 510 +a0197:= integrate(t0197,x) +--R +--R +--R (298) +--R 8 7 2 6 +--R 19sinh(x) + 152cosh(x)sinh(x) + (532cosh(x) + 228)sinh(x) +--R + +--R 3 5 +--R (1064cosh(x) + 1368cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (1330cosh(x) + 3420cosh(x) + 722)sinh(x) +--R + +--R 5 3 3 +--R (1064cosh(x) + 4560cosh(x) + 2888cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (532cosh(x) + 3420cosh(x) + 4332cosh(x) + 228)sinh(x) +--R + +--R 7 5 3 +--R (152cosh(x) + 1368cosh(x) + 2888cosh(x) + 456cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 19cosh(x) + 228cosh(x) + 722cosh(x) + 228cosh(x) + 19 +--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 +-+ 6 +-+ 5 +--R 76\|2 sinh(x) + 456\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (1140\|2 cosh(x) + 684\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (1520\|2 cosh(x) + 2736\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (1140\|2 cosh(x) + 4104\|2 cosh(x) + 356\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (456\|2 cosh(x) + 2736\|2 cosh(x) + 712\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 76\|2 cosh(x) + 684\|2 cosh(x) + 356\|2 cosh(x) + 36\|2 +--R / +--R +-+ 8 +-+ 7 +--R 64\|2 sinh(x) + 512\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (1792\|2 cosh(x) + 768\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (3584\|2 cosh(x) + 4608\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (4480\|2 cosh(x) + 11520\|2 cosh(x) + 2432\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (3584\|2 cosh(x) + 15360\|2 cosh(x) + 9728\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (1792\|2 cosh(x) + 11520\|2 cosh(x) + 14592\|2 cosh(x) + 768\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 512\|2 cosh(x) + 4608\|2 cosh(x) + 9728\|2 cosh(x) +--R + +--R +-+ +--R 1536\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 64\|2 cosh(x) + 768\|2 cosh(x) + 2432\|2 cosh(x) + 768\|2 cosh(x) +--R + +--R +-+ +--R 64\|2 +--R Type: Union(Expression Integer,...) +--E 498 + +--S 499 of 510 +m0197:= a0197-r0197 +--R +--R +--R (299) +--R 8 7 2 6 +--R 19sinh(x) + 152cosh(x)sinh(x) + (532cosh(x) + 228)sinh(x) +--R + +--R 3 5 +--R (1064cosh(x) + 1368cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (1330cosh(x) + 3420cosh(x) + 722)sinh(x) +--R + +--R 5 3 3 +--R (1064cosh(x) + 4560cosh(x) + 2888cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (532cosh(x) + 3420cosh(x) + 4332cosh(x) + 228)sinh(x) +--R + +--R 7 5 3 +--R (152cosh(x) + 1368cosh(x) + 2888cosh(x) + 456cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 19cosh(x) + 228cosh(x) + 722cosh(x) + 228cosh(x) + 19 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 +--R - 76sinh(x) - 608cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 2128cosh(x) - 912)sinh(x) +--R + +--R 3 5 +--R (- 4256cosh(x) - 5472cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 5320cosh(x) - 13680cosh(x) - 2888)sinh(x) +--R + +--R 5 3 3 +--R (- 4256cosh(x) - 18240cosh(x) - 11552cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 2128cosh(x) - 13680cosh(x) - 17328cosh(x) - 912)sinh(x) +--R + +--R 7 5 3 +--R (- 608cosh(x) - 5472cosh(x) - 11552cosh(x) - 1824cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 76cosh(x) - 912cosh(x) - 2888cosh(x) - 912cosh(x) - 76 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 76sinh(x) + 608cosh(x)sinh(x) + (2128cosh(x) + 912)sinh(x) +--R + +--R 3 5 +--R (4256cosh(x) + 5472cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (5320cosh(x) + 13680cosh(x) + 2888)sinh(x) +--R + +--R 5 3 3 +--R (4256cosh(x) + 18240cosh(x) + 11552cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (2128cosh(x) + 13680cosh(x) + 17328cosh(x) + 912)sinh(x) +--R + +--R 7 5 3 +--R (608cosh(x) + 5472cosh(x) + 11552cosh(x) + 1824cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R 76cosh(x) + 912cosh(x) + 2888cosh(x) + 912cosh(x) + 76 +--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 - 38sinh(x) - 304cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 1064cosh(x) - 456)sinh(x) +--R + +--R 3 5 +--R (- 2128cosh(x) - 2736cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 2660cosh(x) - 6840cosh(x) - 1444)sinh(x) +--R + +--R 5 3 3 +--R (- 2128cosh(x) - 9120cosh(x) - 5776cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 1064cosh(x) - 6840cosh(x) - 8664cosh(x) - 456)sinh(x) +--R + +--R 7 5 3 +--R (- 304cosh(x) - 2736cosh(x) - 5776cosh(x) - 912cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 38cosh(x) - 456cosh(x) - 1444cosh(x) - 456cosh(x) - 38 +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R 152sinh(x) + 1216cosh(x)sinh(x) + (4256cosh(x) + 1824)sinh(x) +--R + +--R 3 5 +--R (8512cosh(x) + 10944cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (10640cosh(x) + 27360cosh(x) + 5776)sinh(x) +--R + +--R 5 3 3 +--R (8512cosh(x) + 36480cosh(x) + 23104cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (4256cosh(x) + 27360cosh(x) + 34656cosh(x) + 1824)sinh(x) +--R + +--R 7 5 3 +--R (1216cosh(x) + 10944cosh(x) + 23104cosh(x) + 3648cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R 152cosh(x) + 1824cosh(x) + 5776cosh(x) + 1824cosh(x) + 152 +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - 152sinh(x) - 1216cosh(x)sinh(x) + (- 4256cosh(x) - 1824)sinh(x) +--R + +--R 3 5 +--R (- 8512cosh(x) - 10944cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 10640cosh(x) - 27360cosh(x) - 5776)sinh(x) +--R + +--R 5 3 3 +--R (- 8512cosh(x) - 36480cosh(x) - 23104cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 4256cosh(x) - 27360cosh(x) - 34656cosh(x) - 1824)sinh(x) +--R + +--R 7 5 3 +--R (- 1216cosh(x) - 10944cosh(x) - 23104cosh(x) - 3648cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - 152cosh(x) - 1824cosh(x) - 5776cosh(x) - 1824cosh(x) - 152 +--R * +--R +-+ +--R \|2 tanh(x) +--R atanh(-----------) +--R 2 +--R + +--R +-+ 6 +-+ 5 +--R 76\|2 sinh(x) + 456\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (1140\|2 cosh(x) + 684\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (1520\|2 cosh(x) + 2736\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (1140\|2 cosh(x) + 4104\|2 cosh(x) + 356\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (456\|2 cosh(x) + 2736\|2 cosh(x) + 712\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 76\|2 cosh(x) + 684\|2 cosh(x) + 356\|2 cosh(x) + 36\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 26\|2 sinh(x) - 208\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 728\|2 cosh(x) - 312\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 1456\|2 cosh(x) - 1872\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 1820\|2 cosh(x) - 4680\|2 cosh(x) - 988\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 1456\|2 cosh(x) - 6240\|2 cosh(x) - 3952\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 728\|2 cosh(x) - 4680\|2 cosh(x) - 5928\|2 cosh(x) - 312\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 208\|2 cosh(x) - 1872\|2 cosh(x) - 3952\|2 cosh(x) +--R + +--R +-+ +--R - 624\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 26\|2 cosh(x) - 312\|2 cosh(x) - 988\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 312\|2 cosh(x) - 26\|2 +--R * +--R 3 +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R - 304\|2 sinh(x) - 1824\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (- 4560\|2 cosh(x) - 2736\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (- 6080\|2 cosh(x) - 10944\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 4560\|2 cosh(x) - 16416\|2 cosh(x) - 1424\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 1824\|2 cosh(x) - 10944\|2 cosh(x) - 2848\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R - 304\|2 cosh(x) - 2736\|2 cosh(x) - 1424\|2 cosh(x) - 144\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 44\|2 sinh(x) + 352\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (1232\|2 cosh(x) + 528\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (2464\|2 cosh(x) + 3168\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (3080\|2 cosh(x) + 7920\|2 cosh(x) + 1672\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (2464\|2 cosh(x) + 10560\|2 cosh(x) + 6688\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (1232\|2 cosh(x) + 7920\|2 cosh(x) + 10032\|2 cosh(x) + 528\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 352\|2 cosh(x) + 3168\|2 cosh(x) + 6688\|2 cosh(x) +--R + +--R +-+ +--R 1056\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 44\|2 cosh(x) + 528\|2 cosh(x) + 1672\|2 cosh(x) + 528\|2 cosh(x) +--R + +--R +-+ +--R 44\|2 +--R * +--R tanh(x) +--R + +--R +-+ 6 +-+ 5 +--R 304\|2 sinh(x) + 1824\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R (4560\|2 cosh(x) + 2736\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 3 +--R (6080\|2 cosh(x) + 10944\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (4560\|2 cosh(x) + 16416\|2 cosh(x) + 1424\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (1824\|2 cosh(x) + 10944\|2 cosh(x) + 2848\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 304\|2 cosh(x) + 2736\|2 cosh(x) + 1424\|2 cosh(x) + 144\|2 +--R / +--R +-+ 8 +-+ 7 +--R 64\|2 sinh(x) + 512\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (1792\|2 cosh(x) + 768\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (3584\|2 cosh(x) + 4608\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (4480\|2 cosh(x) + 11520\|2 cosh(x) + 2432\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (3584\|2 cosh(x) + 15360\|2 cosh(x) + 9728\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 1792\|2 cosh(x) + 11520\|2 cosh(x) + 14592\|2 cosh(x) +--R + +--R +-+ +--R 768\|2 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 512\|2 cosh(x) + 4608\|2 cosh(x) + 9728\|2 cosh(x) +--R + +--R +-+ +--R 1536\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 64\|2 cosh(x) + 768\|2 cosh(x) + 2432\|2 cosh(x) + 768\|2 cosh(x) +--R + +--R +-+ +--R 64\|2 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R - 256\|2 sinh(x) - 2048\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 7168\|2 cosh(x) - 3072\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (- 14336\|2 cosh(x) - 18432\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (- 17920\|2 cosh(x) - 46080\|2 cosh(x) - 9728\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (- 14336\|2 cosh(x) - 61440\|2 cosh(x) - 38912\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 7168\|2 cosh(x) - 46080\|2 cosh(x) - 58368\|2 cosh(x) +--R + +--R +-+ +--R - 3072\|2 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 2048\|2 cosh(x) - 18432\|2 cosh(x) - 38912\|2 cosh(x) +--R + +--R +-+ +--R - 6144\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 256\|2 cosh(x) - 3072\|2 cosh(x) - 9728\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 3072\|2 cosh(x) - 256\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R 256\|2 sinh(x) + 2048\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (7168\|2 cosh(x) + 3072\|2 )sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R (14336\|2 cosh(x) + 18432\|2 cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R (17920\|2 cosh(x) + 46080\|2 cosh(x) + 9728\|2 )sinh(x) +--R + +--R +-+ 5 +-+ 3 +-+ 3 +--R (14336\|2 cosh(x) + 61440\|2 cosh(x) + 38912\|2 cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (7168\|2 cosh(x) + 46080\|2 cosh(x) + 58368\|2 cosh(x) + 3072\|2 ) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 2048\|2 cosh(x) + 18432\|2 cosh(x) + 38912\|2 cosh(x) +--R + +--R +-+ +--R 6144\|2 cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +-+ 2 +--R 256\|2 cosh(x) + 3072\|2 cosh(x) + 9728\|2 cosh(x) + 3072\|2 cosh(x) +--R + +--R +-+ +--R 256\|2 +--R Type: Expression Integer +--E 499 + +--S 500 of 510 +--d0197:= D(m0197,x) +--E 500 + +--S 501 of 510 +t0198:= (1+cosh(x)^2)^(1/2) +--R +--R +--R +------------+ +--R | 2 +--R (300) \|cosh(x) + 1 +--R Type: Expression Integer +--E 501 + +--S 502 of 510 +r0198:= -%i*2^(1/2)*EllipticE(%i*x,1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Integer +--R Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 502 + +--S 503 of 510 +--a0198:= integrate(t0198,x) +--E 503 + +--S 504 of 510 +--m0198:= a0198-r0198 +--E 504 + +--S 505 of 510 +d0198:= D(m0198,x) +--R +--R +--R (301) 0 +--R Type: Polynomial Integer +--E 505 + +--S 506 of 510 +t0199:= (-1-cosh(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (302) \|- cosh(x) - 1 +--R Type: Expression Integer +--E 506 + +--S 507 of 510 +r0199:= -%i*2^(1/2)*(-3-cosh(2*x))^(1/2)*_ + EllipticE(%i*x,1/2)/(3+cosh(2*x))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Integer +--R Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 507 + +--S 508 of 510 +a0199:= integrate(t0199,x) +--R +--R +--R (303) +--R +------------------------+ +--R x %I 2 | %I 4 %I 2 +--R x 2 x ++ (4(%e ) + 4)\|- (%e ) - 6(%e ) - 1 +--R (2(%e ) - 2%e ) | ----------------------------------------- d%I +--R ++ %I 6 %I 4 %I 2 +--R (%e ) + 6(%e ) + (%e ) +--R + +--R +----------------------+ +--R x | x 4 x 2 +--R (%e + 1)\|- (%e ) - 6(%e ) - 1 +--R / +--R x 2 x +--R 2(%e ) - 2%e +--R Type: Union(Expression Integer,...) +--E 508 + +--S 509 of 510 +--m0199:= a0199-r0199 +--E 509 + +--S 510 of 510 +--d0199:= D(m0199,x) +--E 510 + +)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}