1,1,26,0,0.133384," ","integrate(sinh(x)^4/(a-a*cosh(x)^2),x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)} - 4 \, x + e^{\left(2 \, x\right)}}{8 \, a}"," ",0,"-1/8*((2*e^(2*x) - 1)*e^(-2*x) - 4*x + e^(2*x))/a","A",0
2,1,12,0,0.114259," ","integrate(sinh(x)^3/(a-a*cosh(x)^2),x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} + e^{x}}{2 \, a}"," ",0,"-1/2*(e^(-x) + e^x)/a","A",0
3,1,6,0,0.134856," ","integrate(sinh(x)^2/(a-a*cosh(x)^2),x, algorithm=""giac"")","-\frac{x}{a}"," ",0,"-x/a","A",0
4,1,21,0,0.131821," ","integrate(csch(x)^2/(a-a*cosh(x)^2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)}}{3 \, a {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"4/3*(3*e^(2*x) - 1)/(a*(e^(2*x) - 1)^3)","A",0
5,1,27,0,0.135470," ","integrate(csch(x)^4/(a-a*cosh(x)^2),x, algorithm=""giac"")","\frac{16 \, {\left(10 \, e^{\left(4 \, x\right)} - 5 \, e^{\left(2 \, x\right)} + 1\right)}}{15 \, a {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"16/15*(10*e^(4*x) - 5*e^(2*x) + 1)/(a*(e^(2*x) - 1)^5)","A",0
6,-2,0,0,0.000000," ","integrate(sinh(x)^7/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-54,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,24]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
7,-2,0,0,0.000000," ","integrate(sinh(x)^5/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-97,37]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-81,22]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
8,-2,0,0,0.000000," ","integrate(sinh(x)^3/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[81,-22]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[55,-12]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
9,-2,0,0,0.000000," ","integrate(sinh(x)/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-58,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
10,-2,0,0,0.000000," ","integrate(csch(x)/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-26,-97]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-71,-13]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
11,-2,0,0,0.000000," ","integrate(csch(x)^3/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[89,-63]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
12,-2,0,0,0.000000," ","integrate(csch(x)^5/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-5,64]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[8,-81]Undef/Unsigned Inf encountered in limitEvaluation time: 0.57Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
13,1,166,0,0.128312," ","integrate(sinh(x)^6/(a+b*cosh(x)^2),x, algorithm=""giac"")","\frac{b e^{\left(4 \, x\right)} - 8 \, a e^{\left(2 \, x\right)} - 16 \, b e^{\left(2 \, x\right)}}{64 \, b^{2}} + \frac{{\left(8 \, a^{2} + 20 \, a b + 15 \, b^{2}\right)} x}{8 \, b^{3}} - \frac{{\left(48 \, a^{2} e^{\left(4 \, x\right)} + 120 \, a b e^{\left(4 \, x\right)} + 90 \, b^{2} e^{\left(4 \, x\right)} - 8 \, a b e^{\left(2 \, x\right)} - 16 \, b^{2} e^{\left(2 \, x\right)} + b^{2}\right)} e^{\left(-4 \, x\right)}}{64 \, b^{3}} - \frac{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} b^{3}}"," ",0,"1/64*(b*e^(4*x) - 8*a*e^(2*x) - 16*b*e^(2*x))/b^2 + 1/8*(8*a^2 + 20*a*b + 15*b^2)*x/b^3 - 1/64*(48*a^2*e^(4*x) + 120*a*b*e^(4*x) + 90*b^2*e^(4*x) - 8*a*b*e^(2*x) - 16*b^2*e^(2*x) + b^2)*e^(-4*x)/b^3 - (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*b^3)","B",0
14,1,103,0,0.141140," ","integrate(sinh(x)^4/(a+b*cosh(x)^2),x, algorithm=""giac"")","-\frac{{\left(2 \, a + 3 \, b\right)} x}{2 \, b^{2}} + \frac{e^{\left(2 \, x\right)}}{8 \, b} + \frac{{\left(4 \, a e^{\left(2 \, x\right)} + 6 \, b e^{\left(2 \, x\right)} - b\right)} e^{\left(-2 \, x\right)}}{8 \, b^{2}} + \frac{{\left(a^{2} + 2 \, a b + b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} b^{2}}"," ",0,"-1/2*(2*a + 3*b)*x/b^2 + 1/8*e^(2*x)/b + 1/8*(4*a*e^(2*x) + 6*b*e^(2*x) - b)*e^(-2*x)/b^2 + (a^2 + 2*a*b + b^2)*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*b^2)","B",0
15,1,52,0,0.130873," ","integrate(sinh(x)^2/(a+b*cosh(x)^2),x, algorithm=""giac"")","-\frac{{\left(a + b\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} b} + \frac{x}{b}"," ",0,"-(a + b)*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*b) + x/b","A",0
16,1,39,0,0.132814," ","integrate(1/(a+b*cosh(x)^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b}}"," ",0,"arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/sqrt(-a^2 - a*b)","A",0
17,1,107,0,0.394338," ","integrate(csch(x)^4/(a+b*cosh(x)^2),x, algorithm=""giac"")","\frac{b^{2} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a^{2} - a b}} + \frac{2 \, {\left(3 \, b e^{\left(4 \, x\right)} - 6 \, a e^{\left(2 \, x\right)} - 12 \, b e^{\left(2 \, x\right)} + 2 \, a + 5 \, b\right)}}{3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"b^2*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/((a^2 + 2*a*b + b^2)*sqrt(-a^2 - a*b)) + 2/3*(3*b*e^(4*x) - 6*a*e^(2*x) - 12*b*e^(2*x) + 2*a + 5*b)/((a^2 + 2*a*b + b^2)*(e^(2*x) - 1)^3)","B",0
18,1,189,0,0.589063," ","integrate(csch(x)^6/(a+b*cosh(x)^2),x, algorithm=""giac"")","-\frac{b^{3} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{-a^{2} - a b}} - \frac{2 \, {\left(15 \, b^{2} e^{\left(8 \, x\right)} - 30 \, a b e^{\left(6 \, x\right)} - 90 \, b^{2} e^{\left(6 \, x\right)} + 80 \, a^{2} e^{\left(4 \, x\right)} + 230 \, a b e^{\left(4 \, x\right)} + 240 \, b^{2} e^{\left(4 \, x\right)} - 40 \, a^{2} e^{\left(2 \, x\right)} - 130 \, a b e^{\left(2 \, x\right)} - 150 \, b^{2} e^{\left(2 \, x\right)} + 8 \, a^{2} + 26 \, a b + 33 \, b^{2}\right)}}{15 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"-b^3*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt(-a^2 - a*b)) - 2/15*(15*b^2*e^(8*x) - 30*a*b*e^(6*x) - 90*b^2*e^(6*x) + 80*a^2*e^(4*x) + 230*a*b*e^(4*x) + 240*b^2*e^(4*x) - 40*a^2*e^(2*x) - 130*a*b*e^(2*x) - 150*b^2*e^(2*x) + 8*a^2 + 26*a*b + 33*b^2)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(e^(2*x) - 1)^5)","B",0
19,1,80,0,0.146657," ","integrate(sinh(x)/(4-3*cosh(x)^3),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3} \left(\frac{4}{3}\right)^{\frac{1}{3}} \arctan\left(\frac{1}{4} \, \sqrt{3} \left(\frac{4}{3}\right)^{\frac{2}{3}} {\left(\left(\frac{4}{3}\right)^{\frac{1}{3}} + e^{\left(-x\right)} + e^{x}\right)}\right) + \frac{1}{72} \cdot 36^{\frac{1}{3}} \log\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 2 \, \left(\frac{4}{3}\right)^{\frac{1}{3}} {\left(e^{\left(-x\right)} + e^{x}\right)} + 4 \, \left(\frac{4}{3}\right)^{\frac{2}{3}}\right) - \frac{1}{12} \, \left(\frac{4}{3}\right)^{\frac{1}{3}} \log\left({\left| -2 \, \left(\frac{4}{3}\right)^{\frac{1}{3}} + e^{\left(-x\right)} + e^{x} \right|}\right)"," ",0,"1/12*sqrt(3)*(4/3)^(1/3)*arctan(1/4*sqrt(3)*(4/3)^(2/3)*((4/3)^(1/3) + e^(-x) + e^x)) + 1/72*36^(1/3)*log((e^(-x) + e^x)^2 + 2*(4/3)^(1/3)*(e^(-x) + e^x) + 4*(4/3)^(2/3)) - 1/12*(4/3)^(1/3)*log(abs(-2*(4/3)^(1/3) + e^(-x) + e^x))","A",0
20,-2,0,0,0.000000," ","integrate(cosh(x)^7/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-54,60]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-64,24]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
21,1,150,0,0.134976," ","integrate(cosh(x)^6/(a+b*cosh(x)^2),x, algorithm=""giac"")","-\frac{a^{3} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} b^{3}} + \frac{b e^{\left(4 \, x\right)} - 8 \, a e^{\left(2 \, x\right)} + 8 \, b e^{\left(2 \, x\right)}}{64 \, b^{2}} + \frac{{\left(8 \, a^{2} - 4 \, a b + 3 \, b^{2}\right)} x}{8 \, b^{3}} - \frac{{\left(48 \, a^{2} e^{\left(4 \, x\right)} - 24 \, a b e^{\left(4 \, x\right)} + 18 \, b^{2} e^{\left(4 \, x\right)} - 8 \, a b e^{\left(2 \, x\right)} + 8 \, b^{2} e^{\left(2 \, x\right)} + b^{2}\right)} e^{\left(-4 \, x\right)}}{64 \, b^{3}}"," ",0,"-a^3*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*b^3) + 1/64*(b*e^(4*x) - 8*a*e^(2*x) + 8*b*e^(2*x))/b^2 + 1/8*(8*a^2 - 4*a*b + 3*b^2)*x/b^3 - 1/64*(48*a^2*e^(4*x) - 24*a*b*e^(4*x) + 18*b^2*e^(4*x) - 8*a*b*e^(2*x) + 8*b^2*e^(2*x) + b^2)*e^(-4*x)/b^3","B",0
22,-2,0,0,0.000000," ","integrate(cosh(x)^5/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-97,37]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-81,22]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
23,1,95,0,0.126358," ","integrate(cosh(x)^4/(a+b*cosh(x)^2),x, algorithm=""giac"")","\frac{a^{2} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} b^{2}} - \frac{{\left(2 \, a - b\right)} x}{2 \, b^{2}} + \frac{e^{\left(2 \, x\right)}}{8 \, b} + \frac{{\left(4 \, a e^{\left(2 \, x\right)} - 2 \, b e^{\left(2 \, x\right)} - b\right)} e^{\left(-2 \, x\right)}}{8 \, b^{2}}"," ",0,"a^2*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*b^2) - 1/2*(2*a - b)*x/b^2 + 1/8*e^(2*x)/b + 1/8*(4*a*e^(2*x) - 2*b*e^(2*x) - b)*e^(-2*x)/b^2","B",0
24,-2,0,0,0.000000," ","integrate(cosh(x)^3/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[81,-22]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[55,-12]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
25,1,50,0,0.126445," ","integrate(cosh(x)^2/(a+b*cosh(x)^2),x, algorithm=""giac"")","-\frac{a \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} b} + \frac{x}{b}"," ",0,"-a*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*b) + x/b","A",0
26,-2,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-58,31]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
27,1,39,0,0.132107," ","integrate(1/(a+b*cosh(x)^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b}}"," ",0,"arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/sqrt(-a^2 - a*b)","A",0
28,-2,0,0,0.000000," ","integrate(sech(x)/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-97,37]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-85,-18]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
29,1,58,0,0.120563," ","integrate(sech(x)^2/(a+b*cosh(x)^2),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} a} - \frac{2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-b*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*a) - 2/(a*(e^(2*x) + 1))","A",0
30,-2,0,0,0.000000," ","integrate(sech(x)^3/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[37,-9]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[63,73]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
31,1,87,0,0.419332," ","integrate(sech(x)^4/(a+b*cosh(x)^2),x, algorithm=""giac"")","\frac{b^{2} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} a^{2}} + \frac{2 \, {\left(3 \, b e^{\left(4 \, x\right)} - 6 \, a e^{\left(2 \, x\right)} + 6 \, b e^{\left(2 \, x\right)} - 2 \, a + 3 \, b\right)}}{3 \, a^{2} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"b^2*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*a^2) + 2/3*(3*b*e^(4*x) - 6*a*e^(2*x) + 6*b*e^(2*x) - 2*a + 3*b)/(a^2*(e^(2*x) + 1)^3)","A",0
32,-2,0,0,0.000000," ","integrate(sech(x)^5/(a+b*cosh(x)^2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-54,60]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-65,8]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
33,1,104,0,0.144197," ","integrate(1/(a+b*cosh(x)^2)^2,x, algorithm=""giac"")","\frac{{\left(2 \, a + b\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{2 \, {\left(a^{2} + a b\right)} \sqrt{-a^{2} - a b}} + \frac{2 \, a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + b}{{\left(a^{2} + a b\right)} {\left(b e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + 2 \, b e^{\left(2 \, x\right)} + b\right)}}"," ",0,"1/2*(2*a + b)*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/((a^2 + a*b)*sqrt(-a^2 - a*b)) + (2*a*e^(2*x) + b*e^(2*x) + b)/((a^2 + a*b)*(b*e^(4*x) + 4*a*e^(2*x) + 2*b*e^(2*x) + b))","A",0
34,1,228,0,0.682218," ","integrate(1/(a+b*cosh(x)^2)^3,x, algorithm=""giac"")","\frac{{\left(8 \, a^{2} + 8 \, a b + 3 \, b^{2}\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b}{2 \, \sqrt{-a^{2} - a b}}\right)}{8 \, {\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{-a^{2} - a b}} + \frac{8 \, a^{2} b e^{\left(6 \, x\right)} + 8 \, a b^{2} e^{\left(6 \, x\right)} + 3 \, b^{3} e^{\left(6 \, x\right)} + 48 \, a^{3} e^{\left(4 \, x\right)} + 72 \, a^{2} b e^{\left(4 \, x\right)} + 42 \, a b^{2} e^{\left(4 \, x\right)} + 9 \, b^{3} e^{\left(4 \, x\right)} + 40 \, a^{2} b e^{\left(2 \, x\right)} + 40 \, a b^{2} e^{\left(2 \, x\right)} + 9 \, b^{3} e^{\left(2 \, x\right)} + 6 \, a b^{2} + 3 \, b^{3}}{4 \, {\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b e^{\left(4 \, x\right)} + 4 \, a e^{\left(2 \, x\right)} + 2 \, b e^{\left(2 \, x\right)} + b\right)}^{2}}"," ",0,"1/8*(8*a^2 + 8*a*b + 3*b^2)*arctan(1/2*(b*e^(2*x) + 2*a + b)/sqrt(-a^2 - a*b))/((a^4 + 2*a^3*b + a^2*b^2)*sqrt(-a^2 - a*b)) + 1/4*(8*a^2*b*e^(6*x) + 8*a*b^2*e^(6*x) + 3*b^3*e^(6*x) + 48*a^3*e^(4*x) + 72*a^2*b*e^(4*x) + 42*a*b^2*e^(4*x) + 9*b^3*e^(4*x) + 40*a^2*b*e^(2*x) + 40*a*b^2*e^(2*x) + 9*b^3*e^(2*x) + 6*a*b^2 + 3*b^3)/((a^4 + 2*a^3*b + a^2*b^2)*(b*e^(4*x) + 4*a*e^(2*x) + 2*b*e^(2*x) + b)^2)","B",0
35,1,34,0,0.143474," ","integrate(1/(1+cosh(x)^2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right)"," ",0,"1/4*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3))","B",0
36,1,59,0,0.133320," ","integrate(1/(1+cosh(x)^2)^2,x, algorithm=""giac"")","\frac{3}{16} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) + \frac{3 \, e^{\left(2 \, x\right)} + 1}{2 \, {\left(e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"3/16*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + 1/2*(3*e^(2*x) + 1)/(e^(4*x) + 6*e^(2*x) + 1)","B",0
37,1,71,0,0.119113," ","integrate(1/(1+cosh(x)^2)^3,x, algorithm=""giac"")","\frac{19}{128} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) + \frac{19 \, e^{\left(6 \, x\right)} + 171 \, e^{\left(4 \, x\right)} + 89 \, e^{\left(2 \, x\right)} + 9}{16 \, {\left(e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"19/128*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + 1/16*(19*e^(6*x) + 171*e^(4*x) + 89*e^(2*x) + 9)/(e^(4*x) + 6*e^(2*x) + 1)^2","A",0
38,1,10,0,0.109027," ","integrate(1/(1-cosh(x)^2),x, algorithm=""giac"")","\frac{2}{e^{\left(2 \, x\right)} - 1}"," ",0,"2/(e^(2*x) - 1)","B",0
39,1,18,0,0.137204," ","integrate(1/(1-cosh(x)^2)^2,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)}}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"-4/3*(3*e^(2*x) - 1)/(e^(2*x) - 1)^3","A",0
40,1,24,0,0.112558," ","integrate(1/(1-cosh(x)^2)^3,x, algorithm=""giac"")","\frac{16 \, {\left(10 \, e^{\left(4 \, x\right)} - 5 \, e^{\left(2 \, x\right)} + 1\right)}}{15 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"16/15*(10*e^(4*x) - 5*e^(2*x) + 1)/(e^(2*x) - 1)^5","A",0
41,0,0,0,0.000000," ","integrate((a+b*cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*cosh(x)^2 + a), x)","F",0
42,0,0,0,0.000000," ","integrate((1+cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{\cosh\left(x\right)^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(cosh(x)^2 + 1), x)","F",0
43,1,31,0,0.127783," ","integrate((1-cosh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} i \, e^{\left(-x\right)} \mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right) - \frac{1}{2} i \, e^{x} \mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)"," ",0,"-1/2*I*e^(-x)*sgn(-e^(3*x) + e^x) - 1/2*I*e^x*sgn(-e^(3*x) + e^x)","C",0
44,1,31,0,0.131089," ","integrate((-1+cosh(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(-x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) + \frac{1}{2} \, e^{x} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)"," ",0,"1/2*e^(-x)*sgn(e^(3*x) - e^x) + 1/2*e^x*sgn(e^(3*x) - e^x)","B",0
45,0,0,0,0.000000," ","integrate((-1-cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{-\cosh\left(x\right)^{2} - 1}\,{d x}"," ",0,"integrate(sqrt(-cosh(x)^2 - 1), x)","F",0
46,0,0,0,0.000000," ","integrate((a+b*cosh(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \cosh\left(x\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cosh(x)^2 + a)^(3/2), x)","F",0
47,0,0,0,0.000000," ","integrate((1+cosh(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(\cosh\left(x\right)^{2} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((cosh(x)^2 + 1)^(3/2), x)","F",0
48,1,66,0,0.147820," ","integrate((1-cosh(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{24} i \, {\left(9 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right) - \mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)\right)} e^{\left(-3 \, x\right)} + \frac{1}{24} i \, e^{\left(3 \, x\right)} \mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right) - \frac{3}{8} i \, e^{x} \mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)"," ",0,"-1/24*I*(9*e^(2*x)*sgn(-e^(3*x) + e^x) - sgn(-e^(3*x) + e^x))*e^(-3*x) + 1/24*I*e^(3*x)*sgn(-e^(3*x) + e^x) - 3/8*I*e^x*sgn(-e^(3*x) + e^x)","C",0
49,1,66,0,0.136220," ","integrate((-1+cosh(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(9 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) - \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)\right)} e^{\left(-3 \, x\right)} + \frac{1}{24} \, e^{\left(3 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) - \frac{3}{8} \, e^{x} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)"," ",0,"-1/24*(9*e^(2*x)*sgn(e^(3*x) - e^x) - sgn(e^(3*x) - e^x))*e^(-3*x) + 1/24*e^(3*x)*sgn(e^(3*x) - e^x) - 3/8*e^x*sgn(e^(3*x) - e^x)","B",0
50,0,0,0,0.000000," ","integrate((-1-cosh(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(-\cosh\left(x\right)^{2} - 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-cosh(x)^2 - 1)^(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \cosh\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*cosh(x)^2 + a), x)","F",0
52,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\cosh\left(x\right)^{2} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(cosh(x)^2 + 1), x)","F",0
53,1,40,0,0.153884," ","integrate(1/(1-cosh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{i \, \log\left(e^{x} + 1\right)}{\mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)} + \frac{i \, \log\left({\left| e^{x} - 1 \right|}\right)}{\mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)}"," ",0,"-I*log(e^x + 1)/sgn(-e^(3*x) + e^x) + I*log(abs(e^x - 1))/sgn(-e^(3*x) + e^x)","C",0
54,1,39,0,0.115947," ","integrate(1/(-1+cosh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left(e^{x} + 1\right)}{\mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)} + \frac{\log\left({\left| e^{x} - 1 \right|}\right)}{\mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)}"," ",0,"-log(e^x + 1)/sgn(e^(3*x) - e^x) + log(abs(e^x - 1))/sgn(e^(3*x) - e^x)","B",0
55,0,0,0,0.000000," ","integrate(1/(-1-cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\cosh\left(x\right)^{2} - 1}}\,{d x}"," ",0,"integrate(1/sqrt(-cosh(x)^2 - 1), x)","F",0
56,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^3),x, algorithm=""giac"")","\int \frac{1}{b \cosh\left(x\right)^{3} + a}\,{d x}"," ",0,"integrate(1/(b*cosh(x)^3 + a), x)","F",0
57,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^3),x, algorithm=""giac"")","\int -\frac{1}{b \cosh\left(x\right)^{3} - a}\,{d x}"," ",0,"integrate(-1/(b*cosh(x)^3 - a), x)","F",0
58,1,275,0,0.139578," ","integrate(1/(1+cosh(x)^3),x, algorithm=""giac"")","\frac{1}{18} \, \sqrt{6 \, \sqrt{3} + 9} \log\left(4 \, {\left(2 \, \sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{6 \, \sqrt{3} + 9} + 6 \, e^{x} - 3\right)}^{2} + 4 \, {\left(\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{3}\right)}^{2}\right) - \frac{1}{18} \, \sqrt{6 \, \sqrt{3} + 9} \log\left(4 \, {\left(2 \, \sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{6 \, \sqrt{3} + 9} - 6 \, e^{x} + 3\right)}^{2} + 4 \, {\left(\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} + 3 \, \sqrt{3}\right)}^{2}\right) - \frac{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} \arctan\left(\frac{3 \, {\left(\sqrt{2 \, \sqrt{3} - 3} + 2 \, e^{x} - 1\right)}}{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{3}}\right)}{9 \, {\left(2 \, \sqrt{3} + 3\right)}} - \frac{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} \arctan\left(-\frac{3 \, {\left(\sqrt{2 \, \sqrt{3} - 3} - 2 \, e^{x} + 1\right)}}{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} + 3 \, \sqrt{3}}\right)}{9 \, {\left(2 \, \sqrt{3} + 3\right)}} - \frac{2}{3 \, {\left(e^{x} + 1\right)}}"," ",0,"1/18*sqrt(6*sqrt(3) + 9)*log(4*(2*sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(6*sqrt(3) + 9) + 6*e^x - 3)^2 + 4*(sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(3))^2) - 1/18*sqrt(6*sqrt(3) + 9)*log(4*(2*sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(6*sqrt(3) + 9) - 6*e^x + 3)^2 + 4*(sqrt(3)*sqrt(6*sqrt(3) + 9) + 3*sqrt(3))^2) - 1/9*sqrt(3)*sqrt(6*sqrt(3) + 9)*arctan(3*(sqrt(2*sqrt(3) - 3) + 2*e^x - 1)/(sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(3)))/(2*sqrt(3) + 3) - 1/9*sqrt(3)*sqrt(6*sqrt(3) + 9)*arctan(-3*(sqrt(2*sqrt(3) - 3) - 2*e^x + 1)/(sqrt(3)*sqrt(6*sqrt(3) + 9) + 3*sqrt(3)))/(2*sqrt(3) + 3) - 2/3/(e^x + 1)","B",0
59,1,275,0,0.165292," ","integrate(1/(1-cosh(x)^3),x, algorithm=""giac"")","-\frac{1}{18} \, \sqrt{6 \, \sqrt{3} + 9} \log\left(4 \, {\left(2 \, \sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{6 \, \sqrt{3} + 9} + 6 \, e^{x} + 3\right)}^{2} + 4 \, {\left(\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} + 3 \, \sqrt{3}\right)}^{2}\right) + \frac{1}{18} \, \sqrt{6 \, \sqrt{3} + 9} \log\left(4 \, {\left(2 \, \sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{6 \, \sqrt{3} + 9} - 6 \, e^{x} - 3\right)}^{2} + 4 \, {\left(\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{3}\right)}^{2}\right) + \frac{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} \arctan\left(\frac{3 \, {\left(\sqrt{2 \, \sqrt{3} - 3} + 2 \, e^{x} + 1\right)}}{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} + 3 \, \sqrt{3}}\right)}{9 \, {\left(2 \, \sqrt{3} + 3\right)}} + \frac{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} \arctan\left(-\frac{3 \, {\left(\sqrt{2 \, \sqrt{3} - 3} - 2 \, e^{x} - 1\right)}}{\sqrt{3} \sqrt{6 \, \sqrt{3} + 9} - 3 \, \sqrt{3}}\right)}{9 \, {\left(2 \, \sqrt{3} + 3\right)}} + \frac{2}{3 \, {\left(e^{x} - 1\right)}}"," ",0,"-1/18*sqrt(6*sqrt(3) + 9)*log(4*(2*sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(6*sqrt(3) + 9) + 6*e^x + 3)^2 + 4*(sqrt(3)*sqrt(6*sqrt(3) + 9) + 3*sqrt(3))^2) + 1/18*sqrt(6*sqrt(3) + 9)*log(4*(2*sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(6*sqrt(3) + 9) - 6*e^x - 3)^2 + 4*(sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(3))^2) + 1/9*sqrt(3)*sqrt(6*sqrt(3) + 9)*arctan(3*(sqrt(2*sqrt(3) - 3) + 2*e^x + 1)/(sqrt(3)*sqrt(6*sqrt(3) + 9) + 3*sqrt(3)))/(2*sqrt(3) + 3) + 1/9*sqrt(3)*sqrt(6*sqrt(3) + 9)*arctan(-3*(sqrt(2*sqrt(3) - 3) - 2*e^x - 1)/(sqrt(3)*sqrt(6*sqrt(3) + 9) - 3*sqrt(3)))/(2*sqrt(3) + 3) + 2/3/(e^x - 1)","B",0
60,-2,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^4),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-36,9]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[95,47]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[56,74]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[10,-88]8*(sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2-1048576*a*sqrt(-a*b))/(a^4+a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b-24*a^4*sqrt(-a*b)*exp(x)^2+68*a^3*b^2*exp(x)^2+2*a^3*b^2+16*a^3*b*sqrt(-a*b)*exp(x)^2+12*a^3*b*sqrt(-a*b)+48*a^3*b*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2+6*a^3*b*sqrt(a^2+a*sqrt(-a*b))-24*a^3*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3+64*a^2*b^2*sqrt(-a*b)*exp(x)^2+16*a^2*b^2*sqrt(-a*b)+61*a^2*b^2*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2+5*a^2*b^2*sqrt(a^2+a*sqrt(-a*b))-5*a^2*b*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2+9*a^2*b*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))-4*a*b^3*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-4*a*b^3*sqrt(a^2+a*sqrt(-a*b))+36*a*b^2*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2+12*a*b^2*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))))-sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2-1048576*a*sqrt(-a*b))/(a^4+a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b-24*a^4*sqrt(-a*b)*exp(x)^2+68*a^3*b^2*exp(x)^2+2*a^3*b^2+16*a^3*b*sqrt(-a*b)*exp(x)^2+12*a^3*b*sqrt(-a*b)-48*a^3*b*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-6*a^3*b*sqrt(a^2+a*sqrt(-a*b))+24*a^3*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3+64*a^2*b^2*sqrt(-a*b)*exp(x)^2+16*a^2*b^2*sqrt(-a*b)-61*a^2*b^2*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-5*a^2*b^2*sqrt(a^2+a*sqrt(-a*b))+5*a^2*b*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-9*a^2*b*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))+4*a*b^3*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2+4*a*b^3*sqrt(a^2+a*sqrt(-a*b))-36*a*b^2*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))*exp(x)^2-12*a*b^2*sqrt(-a*b)*sqrt(a^2+a*sqrt(-a*b))))+sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2+1048576*a*sqrt(-a*b))/(a^4+a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b+24*a^4*sqrt(-a*b)*exp(x)^2+68*a^3*b^2*exp(x)^2+2*a^3*b^2-16*a^3*b*sqrt(-a*b)*exp(x)^2-12*a^3*b*sqrt(-a*b)+48*a^3*b*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2+6*a^3*b*sqrt(a^2-a*sqrt(-a*b))+24*a^3*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3-64*a^2*b^2*sqrt(-a*b)*exp(x)^2-16*a^2*b^2*sqrt(-a*b)+61*a^2*b^2*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2+5*a^2*b^2*sqrt(a^2-a*sqrt(-a*b))+5*a^2*b*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-9*a^2*b*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))-4*a*b^3*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-4*a*b^3*sqrt(a^2-a*sqrt(-a*b))-36*a*b^2*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-12*a*b^2*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))))-sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2+1048576*a*sqrt(-a*b))/(a^4+a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b+24*a^4*sqrt(-a*b)*exp(x)^2+68*a^3*b^2*exp(x)^2+2*a^3*b^2-16*a^3*b*sqrt(-a*b)*exp(x)^2-12*a^3*b*sqrt(-a*b)-48*a^3*b*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-6*a^3*b*sqrt(a^2-a*sqrt(-a*b))-24*a^3*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3-64*a^2*b^2*sqrt(-a*b)*exp(x)^2-16*a^2*b^2*sqrt(-a*b)-61*a^2*b^2*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2-5*a^2*b^2*sqrt(a^2-a*sqrt(-a*b))-5*a^2*b*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2+9*a^2*b*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))+4*a*b^3*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2+4*a*b^3*sqrt(a^2-a*sqrt(-a*b))+36*a*b^2*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b))*exp(x)^2+12*a*b^2*sqrt(-a*b)*sqrt(a^2-a*sqrt(-a*b)))))","F(-2)",0
61,-2,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^4),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[34,61]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[95,-54]Precision problem choosing root in common_EXT, current precision 14Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-81,-38]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-70,-54]8*(sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2+1048576*a*sqrt(a*b))/(a^4-a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b-24*a^4*sqrt(a*b)*exp(x)^2-68*a^3*b^2*exp(x)^2-2*a^3*b^2-16*a^3*b*sqrt(a*b)*exp(x)^2-12*a^3*b*sqrt(a*b)+48*a^3*b*sqrt(a^2-a*sqrt(a*b))*exp(x)^2+6*a^3*b*sqrt(a^2-a*sqrt(a*b))-24*a^3*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3+64*a^2*b^2*sqrt(a*b)*exp(x)^2+16*a^2*b^2*sqrt(a*b)-61*a^2*b^2*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-5*a^2*b^2*sqrt(a^2-a*sqrt(a*b))+5*a^2*b*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-9*a^2*b*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))-4*a*b^3*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-4*a*b^3*sqrt(a^2-a*sqrt(a*b))+36*a*b^2*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))*exp(x)^2+12*a*b^2*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))))-sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2+1048576*a*sqrt(a*b))/(a^4-a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b-24*a^4*sqrt(a*b)*exp(x)^2-68*a^3*b^2*exp(x)^2-2*a^3*b^2-16*a^3*b*sqrt(a*b)*exp(x)^2-12*a^3*b*sqrt(a*b)-48*a^3*b*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-6*a^3*b*sqrt(a^2-a*sqrt(a*b))+24*a^3*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3+64*a^2*b^2*sqrt(a*b)*exp(x)^2+16*a^2*b^2*sqrt(a*b)+61*a^2*b^2*sqrt(a^2-a*sqrt(a*b))*exp(x)^2+5*a^2*b^2*sqrt(a^2-a*sqrt(a*b))-5*a^2*b*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))*exp(x)^2+9*a^2*b*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))+4*a*b^3*sqrt(a^2-a*sqrt(a*b))*exp(x)^2+4*a*b^3*sqrt(a^2-a*sqrt(a*b))-36*a*b^2*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))*exp(x)^2-12*a*b^2*sqrt(a*b)*sqrt(a^2-a*sqrt(a*b))))+sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2-1048576*a*sqrt(a*b))/(a^4-a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b+24*a^4*sqrt(a*b)*exp(x)^2-68*a^3*b^2*exp(x)^2-2*a^3*b^2+16*a^3*b*sqrt(a*b)*exp(x)^2+12*a^3*b*sqrt(a*b)+48*a^3*b*sqrt(a^2+a*sqrt(a*b))*exp(x)^2+6*a^3*b*sqrt(a^2+a*sqrt(a*b))+24*a^3*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3-64*a^2*b^2*sqrt(a*b)*exp(x)^2-16*a^2*b^2*sqrt(a*b)-61*a^2*b^2*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-5*a^2*b^2*sqrt(a^2+a*sqrt(a*b))-5*a^2*b*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))*exp(x)^2+9*a^2*b*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))-4*a*b^3*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-4*a*b^3*sqrt(a^2+a*sqrt(a*b))-36*a*b^2*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-12*a*b^2*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))))-sqrt(1/1024)*sqrt(1/1048576*(1048576*a^2-1048576*a*sqrt(a*b))/(a^4-a^3*b))*ln(abs(60*a^4*b*exp(x)^2+6*a^4*b+24*a^4*sqrt(a*b)*exp(x)^2-68*a^3*b^2*exp(x)^2-2*a^3*b^2+16*a^3*b*sqrt(a*b)*exp(x)^2+12*a^3*b*sqrt(a*b)-48*a^3*b*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-6*a^3*b*sqrt(a^2+a*sqrt(a*b))-24*a^3*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-16*a^2*b^3*exp(x)^2-8*a^2*b^3-64*a^2*b^2*sqrt(a*b)*exp(x)^2-16*a^2*b^2*sqrt(a*b)+61*a^2*b^2*sqrt(a^2+a*sqrt(a*b))*exp(x)^2+5*a^2*b^2*sqrt(a^2+a*sqrt(a*b))+5*a^2*b*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))*exp(x)^2-9*a^2*b*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))+4*a*b^3*sqrt(a^2+a*sqrt(a*b))*exp(x)^2+4*a*b^3*sqrt(a^2+a*sqrt(a*b))+36*a*b^2*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b))*exp(x)^2+12*a*b^2*sqrt(a*b)*sqrt(a^2+a*sqrt(a*b)))))","F(-2)",0
62,1,281,0,0.214939," ","integrate(1/(1+cosh(x)^4),x, algorithm=""giac"")","-\left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} - 2} {\left(-\frac{i}{\sqrt{2} - 1} + 1\right)} \log\left(\left(20 i + 10\right) \, \sqrt{2} e^{\left(2 \, x\right)} + 10 \, \sqrt{2} \sqrt{10 \, \sqrt{2} + 14} + 50 \, \sqrt{2} - \left(2 i - 14\right) \, \sqrt{10 \, \sqrt{2} + 14} + \left(28 i + 14\right) \, e^{\left(2 \, x\right)} + 70\right) + \left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} - 2} {\left(-\frac{i}{\sqrt{2} - 1} + 1\right)} \log\left(\left(20 i + 10\right) \, \sqrt{2} e^{\left(2 \, x\right)} - 10 \, \sqrt{2} \sqrt{10 \, \sqrt{2} + 14} + 50 \, \sqrt{2} + \left(2 i - 14\right) \, \sqrt{10 \, \sqrt{2} + 14} + \left(28 i + 14\right) \, e^{\left(2 \, x\right)} + 70\right) - \left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} + 2} {\left(-\frac{i}{\sqrt{2} + 1} + 1\right)} \log\left(2 \, \sqrt{2} e^{\left(2 \, x\right)} + 2 \, \sqrt{2} \sqrt{2 \, \sqrt{2} - 2} + \left(4 i + 2\right) \, \sqrt{2} + \left(2 i - 2\right) \, \sqrt{2 \, \sqrt{2} - 2} - 2 \, e^{\left(2 \, x\right)} - 4 i - 2\right) + \left(\frac{1}{16} i + \frac{1}{16}\right) \, \sqrt{2 \, \sqrt{2} + 2} {\left(-\frac{i}{\sqrt{2} + 1} + 1\right)} \log\left(2 \, \sqrt{2} e^{\left(2 \, x\right)} - 2 \, \sqrt{2} \sqrt{2 \, \sqrt{2} - 2} + \left(4 i + 2\right) \, \sqrt{2} - \left(2 i - 2\right) \, \sqrt{2 \, \sqrt{2} - 2} - 2 \, e^{\left(2 \, x\right)} - 4 i - 2\right)"," ",0,"-(1/16*I + 1/16)*sqrt(2*sqrt(2) - 2)*(-I/(sqrt(2) - 1) + 1)*log((20*I + 10)*sqrt(2)*e^(2*x) + 10*sqrt(2)*sqrt(10*sqrt(2) + 14) + 50*sqrt(2) - (2*I - 14)*sqrt(10*sqrt(2) + 14) + (28*I + 14)*e^(2*x) + 70) + (1/16*I + 1/16)*sqrt(2*sqrt(2) - 2)*(-I/(sqrt(2) - 1) + 1)*log((20*I + 10)*sqrt(2)*e^(2*x) - 10*sqrt(2)*sqrt(10*sqrt(2) + 14) + 50*sqrt(2) + (2*I - 14)*sqrt(10*sqrt(2) + 14) + (28*I + 14)*e^(2*x) + 70) - (1/16*I + 1/16)*sqrt(2*sqrt(2) + 2)*(-I/(sqrt(2) + 1) + 1)*log(2*sqrt(2)*e^(2*x) + 2*sqrt(2)*sqrt(2*sqrt(2) - 2) + (4*I + 2)*sqrt(2) + (2*I - 2)*sqrt(2*sqrt(2) - 2) - 2*e^(2*x) - 4*I - 2) + (1/16*I + 1/16)*sqrt(2*sqrt(2) + 2)*(-I/(sqrt(2) + 1) + 1)*log(2*sqrt(2)*e^(2*x) - 2*sqrt(2)*sqrt(2*sqrt(2) - 2) + (4*I + 2)*sqrt(2) - (2*I - 2)*sqrt(2*sqrt(2) - 2) - 2*e^(2*x) - 4*I - 2)","C",0
63,1,43,0,0.118797," ","integrate(1/(1-cosh(x)^4),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) + \frac{1}{e^{\left(2 \, x\right)} - 1}"," ",0,"1/8*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + 1/(e^(2*x) - 1)","B",0
64,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^5),x, algorithm=""giac"")","\int \frac{1}{b \cosh\left(x\right)^{5} + a}\,{d x}"," ",0,"integrate(1/(b*cosh(x)^5 + a), x)","F",0
65,1,1,0,0.320369," ","integrate(1/(a+b*cosh(x)^6),x, algorithm=""giac"")","0"," ",0,"0","A",0
66,1,1,0,0.838683," ","integrate(1/(a+b*cosh(x)^8),x, algorithm=""giac"")","0"," ",0,"0","A",0
67,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^5),x, algorithm=""giac"")","\int -\frac{1}{b \cosh\left(x\right)^{5} - a}\,{d x}"," ",0,"integrate(-1/(b*cosh(x)^5 - a), x)","F",0
68,1,1,0,0.353939," ","integrate(1/(a-b*cosh(x)^6),x, algorithm=""giac"")","0"," ",0,"0","A",0
69,1,1,0,0.832520," ","integrate(1/(a-b*cosh(x)^8),x, algorithm=""giac"")","0"," ",0,"0","A",0
70,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^5),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
71,1,140,0,0.139648," ","integrate(1/(1+cosh(x)^6),x, algorithm=""giac"")","\frac{1}{36} \, {\left({\left(2 \, \sqrt{3} - 3\right)} e^{\left(4 \, x\right)} + 2 \, \sqrt{3} - 3\right)} \arctan\left(\frac{e^{\left(2 \, x\right)}}{\sqrt{3} + 2}\right) - \frac{1}{36} \, {\left({\left(2 \, \sqrt{3} + 3\right)} e^{\left(4 \, x\right)} + 2 \, \sqrt{3} + 3\right)} \arctan\left(-\frac{e^{\left(2 \, x\right)}}{\sqrt{3} - 2}\right) - \frac{1}{12} \, \sqrt{3} \log\left({\left(\sqrt{3} + 2\right)}^{2} + e^{\left(4 \, x\right)}\right) + \frac{1}{12} \, \sqrt{3} \log\left({\left(\sqrt{3} - 2\right)}^{2} + e^{\left(4 \, x\right)}\right) + \frac{1}{12} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right)"," ",0,"1/36*((2*sqrt(3) - 3)*e^(4*x) + 2*sqrt(3) - 3)*arctan(e^(2*x)/(sqrt(3) + 2)) - 1/36*((2*sqrt(3) + 3)*e^(4*x) + 2*sqrt(3) + 3)*arctan(-e^(2*x)/(sqrt(3) - 2)) - 1/12*sqrt(3)*log((sqrt(3) + 2)^2 + e^(4*x)) + 1/12*sqrt(3)*log((sqrt(3) - 2)^2 + e^(4*x)) + 1/12*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3))","B",0
72,1,1,0,0.138623," ","integrate(1/(1+cosh(x)^8),x, algorithm=""giac"")","0"," ",0,"0","A",0
73,0,0,0,0.000000," ","integrate(1/(1-cosh(x)^5),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
74,1,10,0,0.141456," ","integrate(1/(1-cosh(x)^6),x, algorithm=""giac"")","\frac{2}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"2/3/(e^(2*x) - 1)","A",0
75,-1,0,0,0.000000," ","integrate(1/(1-cosh(x)^8),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,1,23,0,1.001248," ","integrate(tanh(x)/(1+cosh(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 1\right) + \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-1/2*log(e^(4*x) + 6*e^(2*x) + 1) + log(e^(2*x) + 1)","A",0
77,0,0,0,0.000000," ","integrate((a+b*cosh(x)^2)^(1/2)*tanh(x),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(x\right)^{2} + a} \tanh\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*cosh(x)^2 + a)*tanh(x), x)","F",0
78,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)}{\sqrt{b \cosh\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(x)/sqrt(b*cosh(x)^2 + a), x)","F",0
79,0,0,0,0.000000," ","integrate(tanh(x)/(1+cosh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)}{\sqrt{\cosh\left(x\right)^{2} + 1}}\,{d x}"," ",0,"integrate(tanh(x)/sqrt(cosh(x)^2 + 1), x)","F",0
80,1,38,0,0.722420," ","integrate(tanh(x)/(1-cosh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left(e^{x} + i\right)}{\mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)} + \frac{\log\left(e^{x} - i\right)}{\mathrm{sgn}\left(-e^{\left(3 \, x\right)} + e^{x}\right)}"," ",0,"-log(e^x + I)/sgn(-e^(3*x) + e^x) + log(e^x - I)/sgn(-e^(3*x) + e^x)","C",0
81,1,191,0,8.022331," ","integrate(tanh(x)^3/(a+b*cosh(x)^3),x, algorithm=""giac"")","-\frac{b \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| -2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} + e^{\left(-x\right)} + e^{x} \right|}\right)}{3 \, a^{2}} + \frac{\log\left(e^{\left(-x\right)} + e^{x}\right)}{a} - \frac{\log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 8 \, a \right|}\right)}{3 \, a} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(\left(-\frac{a}{b}\right)^{\frac{1}{3}} + e^{\left(-x\right)} + e^{x}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2}} + \frac{\left(-a b^{2}\right)^{\frac{1}{3}} \log\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} {\left(e^{\left(-x\right)} + e^{x}\right)} + 4 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a^{2}} - \frac{3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4}{2 \, a {\left(e^{\left(-x\right)} + e^{x}\right)}^{2}}"," ",0,"-1/3*b*(-a/b)^(1/3)*log(abs(-2*(-a/b)^(1/3) + e^(-x) + e^x))/a^2 + log(e^(-x) + e^x)/a - 1/3*log(abs(b*(e^(-x) + e^x)^3 + 8*a))/a + 1/3*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*((-a/b)^(1/3) + e^(-x) + e^x)/(-a/b)^(1/3))/a^2 + 1/6*(-a*b^2)^(1/3)*log((e^(-x) + e^x)^2 + 2*(-a/b)^(1/3)*(e^(-x) + e^x) + 4*(-a/b)^(2/3))/a^2 - 1/2*(3*(e^(-x) + e^x)^2 - 4)/(a*(e^(-x) + e^x)^2)","A",0
82,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)^3)^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)}{\sqrt{b \cosh\left(x\right)^{3} + a}}\,{d x}"," ",0,"integrate(tanh(x)/sqrt(b*cosh(x)^3 + a), x)","F",0
83,0,0,0,0.000000," ","integrate((a+b*cosh(x)^3)^(1/2)*tanh(x),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(x\right)^{3} + a} \tanh\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*cosh(x)^3 + a)*tanh(x), x)","F",0
84,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)^n)^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)}{\sqrt{b \cosh\left(x\right)^{n} + a}}\,{d x}"," ",0,"integrate(tanh(x)/sqrt(b*cosh(x)^n + a), x)","F",0
85,0,0,0,0.000000," ","integrate((a+b*cosh(x)^n)^(1/2)*tanh(x),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(x\right)^{n} + a} \tanh\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*cosh(x)^n + a)*tanh(x), x)","F",0
