1,1,25,0,0.313018," ","integrate(sinh(x)^4/(a-a*cosh(x)^2),x, algorithm=""maxima"")","\frac{x}{2 \, a} - \frac{e^{\left(2 \, x\right)}}{8 \, a} + \frac{e^{\left(-2 \, x\right)}}{8 \, a}"," ",0,"1/2*x/a - 1/8*e^(2*x)/a + 1/8*e^(-2*x)/a","A",0
2,1,17,0,0.311909," ","integrate(sinh(x)^3/(a-a*cosh(x)^2),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)}}{2 \, a} - \frac{e^{x}}{2 \, a}"," ",0,"-1/2*e^(-x)/a - 1/2*e^x/a","B",0
3,1,6,0,0.321905," ","integrate(sinh(x)^2/(a-a*cosh(x)^2),x, algorithm=""maxima"")","-\frac{x}{a}"," ",0,"-x/a","A",0
4,1,61,0,0.310696," ","integrate(csch(x)^2/(a-a*cosh(x)^2),x, algorithm=""maxima"")","-\frac{4 \, e^{\left(-2 \, x\right)}}{3 \, a e^{\left(-2 \, x\right)} - 3 \, a e^{\left(-4 \, x\right)} + a e^{\left(-6 \, x\right)} - a} + \frac{4}{3 \, {\left(3 \, a e^{\left(-2 \, x\right)} - 3 \, a e^{\left(-4 \, x\right)} + a e^{\left(-6 \, x\right)} - a\right)}}"," ",0,"-4*e^(-2*x)/(3*a*e^(-2*x) - 3*a*e^(-4*x) + a*e^(-6*x) - a) + 4/3/(3*a*e^(-2*x) - 3*a*e^(-4*x) + a*e^(-6*x) - a)","B",0
5,1,135,0,0.317920," ","integrate(csch(x)^4/(a-a*cosh(x)^2),x, algorithm=""maxima"")","\frac{16 \, e^{\left(-2 \, x\right)}}{3 \, {\left(5 \, a e^{\left(-2 \, x\right)} - 10 \, a e^{\left(-4 \, x\right)} + 10 \, a e^{\left(-6 \, x\right)} - 5 \, a e^{\left(-8 \, x\right)} + a e^{\left(-10 \, x\right)} - a\right)}} - \frac{32 \, e^{\left(-4 \, x\right)}}{3 \, {\left(5 \, a e^{\left(-2 \, x\right)} - 10 \, a e^{\left(-4 \, x\right)} + 10 \, a e^{\left(-6 \, x\right)} - 5 \, a e^{\left(-8 \, x\right)} + a e^{\left(-10 \, x\right)} - a\right)}} - \frac{16}{15 \, {\left(5 \, a e^{\left(-2 \, x\right)} - 10 \, a e^{\left(-4 \, x\right)} + 10 \, a e^{\left(-6 \, x\right)} - 5 \, a e^{\left(-8 \, x\right)} + a e^{\left(-10 \, x\right)} - a\right)}}"," ",0,"16/3*e^(-2*x)/(5*a*e^(-2*x) - 10*a*e^(-4*x) + 10*a*e^(-6*x) - 5*a*e^(-8*x) + a*e^(-10*x) - a) - 32/3*e^(-4*x)/(5*a*e^(-2*x) - 10*a*e^(-4*x) + 10*a*e^(-6*x) - 5*a*e^(-8*x) + a*e^(-10*x) - a) - 16/15/(5*a*e^(-2*x) - 10*a*e^(-4*x) + 10*a*e^(-6*x) - 5*a*e^(-8*x) + a*e^(-10*x) - a)","B",0
6,0,0,0,0.000000," ","integrate(sinh(x)^7/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, b^{2} e^{\left(10 \, x\right)} + 3 \, b^{2} - 5 \, {\left(4 \, a b + 9 \, b^{2}\right)} e^{\left(8 \, x\right)} + 30 \, {\left(8 \, a^{2} + 22 \, a b + 19 \, b^{2}\right)} e^{\left(6 \, x\right)} + 30 \, {\left(8 \, a^{2} + 22 \, a b + 19 \, b^{2}\right)} e^{\left(4 \, x\right)} - 5 \, {\left(4 \, a b + 9 \, b^{2}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-5 \, x\right)}}{480 \, b^{3}} - \frac{1}{128} \, \int \frac{256 \, {\left({\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{\left(3 \, x\right)} - {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{x}\right)}}{b^{4} e^{\left(4 \, x\right)} + b^{4} + 2 \, {\left(2 \, a b^{3} + b^{4}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"1/480*(3*b^2*e^(10*x) + 3*b^2 - 5*(4*a*b + 9*b^2)*e^(8*x) + 30*(8*a^2 + 22*a*b + 19*b^2)*e^(6*x) + 30*(8*a^2 + 22*a*b + 19*b^2)*e^(4*x) - 5*(4*a*b + 9*b^2)*e^(2*x))*e^(-5*x)/b^3 - 1/128*integrate(256*((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^(3*x) - (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^x)/(b^4*e^(4*x) + b^4 + 2*(2*a*b^3 + b^4)*e^(2*x)), x)","F",0
7,0,0,0,0.000000," ","integrate(sinh(x)^5/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(b e^{\left(6 \, x\right)} - 3 \, {\left(4 \, a + 7 \, b\right)} e^{\left(4 \, x\right)} - 3 \, {\left(4 \, a + 7 \, b\right)} e^{\left(2 \, x\right)} + b\right)} e^{\left(-3 \, x\right)}}{24 \, b^{2}} + \frac{1}{32} \, \int \frac{64 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(3 \, x\right)} - {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{x}\right)}}{b^{3} e^{\left(4 \, x\right)} + b^{3} + 2 \, {\left(2 \, a b^{2} + b^{3}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"1/24*(b*e^(6*x) - 3*(4*a + 7*b)*e^(4*x) - 3*(4*a + 7*b)*e^(2*x) + b)*e^(-3*x)/b^2 + 1/32*integrate(64*((a^2 + 2*a*b + b^2)*e^(3*x) - (a^2 + 2*a*b + b^2)*e^x)/(b^3*e^(4*x) + b^3 + 2*(2*a*b^2 + b^3)*e^(2*x)), x)","F",0
8,0,0,0,0.000000," ","integrate(sinh(x)^3/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(e^{\left(2 \, x\right)} + 1\right)} e^{\left(-x\right)}}{2 \, b} - \frac{1}{8} \, \int \frac{16 \, {\left({\left(a + b\right)} e^{\left(3 \, x\right)} - {\left(a + b\right)} e^{x}\right)}}{b^{2} e^{\left(4 \, x\right)} + b^{2} + 2 \, {\left(2 \, a b + b^{2}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"1/2*(e^(2*x) + 1)*e^(-x)/b - 1/8*integrate(16*((a + b)*e^(3*x) - (a + b)*e^x)/(b^2*e^(4*x) + b^2 + 2*(2*a*b + b^2)*e^(2*x)), x)","F",0
9,0,0,0,0.000000," ","integrate(sinh(x)/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\int \frac{\sinh\left(x\right)}{b \cosh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(sinh(x)/(b*cosh(x)^2 + a), x)","F",0
10,0,0,0,0.000000," ","integrate(csch(x)/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{\log\left(e^{x} + 1\right)}{a + b} + \frac{\log\left(e^{x} - 1\right)}{a + b} - 2 \, \int \frac{b e^{\left(3 \, x\right)} - b e^{x}}{a b + b^{2} + {\left(a b + b^{2}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a^{2} + 3 \, a b + b^{2}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"-log(e^x + 1)/(a + b) + log(e^x - 1)/(a + b) - 2*integrate((b*e^(3*x) - b*e^x)/(a*b + b^2 + (a*b + b^2)*e^(4*x) + 2*(2*a^2 + 3*a*b + b^2)*e^(2*x)), x)","F",0
11,0,0,0,0.000000," ","integrate(csch(x)^3/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(a + 3 \, b\right)} \log\left(e^{x} + 1\right)}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{{\left(a + 3 \, b\right)} \log\left(e^{x} - 1\right)}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{e^{\left(3 \, x\right)} + e^{x}}{{\left(a + b\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a + b\right)} e^{\left(2 \, x\right)} + a + b} + 8 \, \int \frac{b^{2} e^{\left(3 \, x\right)} - b^{2} e^{x}}{4 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3} + {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a^{3} + 5 \, a^{2} b + 4 \, a b^{2} + b^{3}\right)} e^{\left(2 \, x\right)}\right)}}\,{d x}"," ",0,"1/2*(a + 3*b)*log(e^x + 1)/(a^2 + 2*a*b + b^2) - 1/2*(a + 3*b)*log(e^x - 1)/(a^2 + 2*a*b + b^2) - (e^(3*x) + e^x)/((a + b)*e^(4*x) - 2*(a + b)*e^(2*x) + a + b) + 8*integrate(1/4*(b^2*e^(3*x) - b^2*e^x)/(a^2*b + 2*a*b^2 + b^3 + (a^2*b + 2*a*b^2 + b^3)*e^(4*x) + 2*(2*a^3 + 5*a^2*b + 4*a*b^2 + b^3)*e^(2*x)), x)","F",0
12,0,0,0,0.000000," ","integrate(csch(x)^5/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{{\left(3 \, a^{2} + 10 \, a b + 15 \, b^{2}\right)} \log\left(e^{x} + 1\right)}{8 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} + \frac{{\left(3 \, a^{2} + 10 \, a b + 15 \, b^{2}\right)} \log\left(e^{x} - 1\right)}{8 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} + \frac{{\left(3 \, a + 7 \, b\right)} e^{\left(7 \, x\right)} - {\left(11 \, a + 15 \, b\right)} e^{\left(5 \, x\right)} - {\left(11 \, a + 15 \, b\right)} e^{\left(3 \, x\right)} + {\left(3 \, a + 7 \, b\right)} e^{x}}{4 \, {\left(a^{2} + 2 \, a b + b^{2} + {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(8 \, x\right)} - 4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(6 \, x\right)} + 6 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(4 \, x\right)} - 4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(2 \, x\right)}\right)}} - 32 \, \int \frac{b^{3} e^{\left(3 \, x\right)} - b^{3} e^{x}}{16 \, {\left(a^{3} b + 3 \, a^{2} b^{2} + 3 \, a b^{3} + b^{4} + {\left(a^{3} b + 3 \, a^{2} b^{2} + 3 \, a b^{3} + b^{4}\right)} e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a^{4} + 7 \, a^{3} b + 9 \, a^{2} b^{2} + 5 \, a b^{3} + b^{4}\right)} e^{\left(2 \, x\right)}\right)}}\,{d x}"," ",0,"-1/8*(3*a^2 + 10*a*b + 15*b^2)*log(e^x + 1)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) + 1/8*(3*a^2 + 10*a*b + 15*b^2)*log(e^x - 1)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) + 1/4*((3*a + 7*b)*e^(7*x) - (11*a + 15*b)*e^(5*x) - (11*a + 15*b)*e^(3*x) + (3*a + 7*b)*e^x)/(a^2 + 2*a*b + b^2 + (a^2 + 2*a*b + b^2)*e^(8*x) - 4*(a^2 + 2*a*b + b^2)*e^(6*x) + 6*(a^2 + 2*a*b + b^2)*e^(4*x) - 4*(a^2 + 2*a*b + b^2)*e^(2*x)) - 32*integrate(1/16*(b^3*e^(3*x) - b^3*e^x)/(a^3*b + 3*a^2*b^2 + 3*a*b^3 + b^4 + (a^3*b + 3*a^2*b^2 + 3*a*b^3 + b^4)*e^(4*x) + 2*(2*a^4 + 7*a^3*b + 9*a^2*b^2 + 5*a*b^3 + b^4)*e^(2*x)), x)","F",0
13,1,651,0,0.454747," ","integrate(sinh(x)^6/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{15 \, {\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{64 \, \sqrt{{\left(a + b\right)} a} b} + \frac{5 \, \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{32 \, \sqrt{{\left(a + b\right)} a}} + \frac{3 \, {\left(2 \, a + b\right)} x}{2 \, b^{2}} + \frac{15 \, x}{16 \, b} - \frac{{\left(4 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} - b\right)} e^{\left(4 \, x\right)}}{64 \, b^{2}} - \frac{3 \, e^{\left(2 \, x\right)}}{16 \, b} + \frac{3 \, e^{\left(-2 \, x\right)}}{16 \, b} + \frac{{\left(4 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} - b\right)} e^{\left(-4 \, x\right)}}{64 \, b^{2}} - \frac{3 \, {\left(2 \, a + b\right)} \log\left(b e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} + b\right)}{16 \, b^{2}} + \frac{3 \, {\left(2 \, a + b\right)} \log\left(2 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b e^{\left(-4 \, x\right)} + b\right)}{16 \, b^{2}} - \frac{3 \, {\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{64 \, \sqrt{{\left(a + b\right)} a} b^{2}} + \frac{3 \, {\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{64 \, \sqrt{{\left(a + b\right)} a} b^{2}} + \frac{{\left(16 \, a^{2} + 16 \, a b + 3 \, b^{2}\right)} x}{8 \, b^{3}} - \frac{{\left(16 \, a^{2} + 16 \, a b + 3 \, b^{2}\right)} \log\left(b e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} + b\right)}{64 \, b^{3}} + \frac{{\left(16 \, a^{2} + 16 \, a b + 3 \, b^{2}\right)} \log\left(2 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b e^{\left(-4 \, x\right)} + b\right)}{64 \, b^{3}} - \frac{{\left(32 \, a^{3} + 48 \, a^{2} b + 18 \, a b^{2} + b^{3}\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{128 \, \sqrt{{\left(a + b\right)} a} b^{3}} + \frac{{\left(32 \, a^{3} + 48 \, a^{2} b + 18 \, a b^{2} + b^{3}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{128 \, \sqrt{{\left(a + b\right)} a} b^{3}}"," ",0,"-15/64*(2*a + b)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b) + 5/32*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a) + 3/2*(2*a + b)*x/b^2 + 15/16*x/b - 1/64*(4*(2*a + b)*e^(-2*x) - b)*e^(4*x)/b^2 - 3/16*e^(2*x)/b + 3/16*e^(-2*x)/b + 1/64*(4*(2*a + b)*e^(2*x) - b)*e^(-4*x)/b^2 - 3/16*(2*a + b)*log(b*e^(4*x) + 2*(2*a + b)*e^(2*x) + b)/b^2 + 3/16*(2*a + b)*log(2*(2*a + b)*e^(-2*x) + b*e^(-4*x) + b)/b^2 - 3/64*(8*a^2 + 8*a*b + b^2)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2) + 3/64*(8*a^2 + 8*a*b + b^2)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2) + 1/8*(16*a^2 + 16*a*b + 3*b^2)*x/b^3 - 1/64*(16*a^2 + 16*a*b + 3*b^2)*log(b*e^(4*x) + 2*(2*a + b)*e^(2*x) + b)/b^3 + 1/64*(16*a^2 + 16*a*b + 3*b^2)*log(2*(2*a + b)*e^(-2*x) + b*e^(-4*x) + b)/b^3 - 1/128*(32*a^3 + 48*a^2*b + 18*a*b^2 + b^3)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^3) + 1/128*(32*a^3 + 48*a^2*b + 18*a*b^2 + b^3)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^3)","B",0
14,1,348,0,0.426863," ","integrate(sinh(x)^4/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a} b} - \frac{3 \, \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{16 \, \sqrt{{\left(a + b\right)} a}} - \frac{{\left(2 \, a + b\right)} x}{b^{2}} - \frac{x}{b} + \frac{e^{\left(2 \, x\right)}}{8 \, b} - \frac{e^{\left(-2 \, x\right)}}{8 \, b} + \frac{{\left(2 \, a + b\right)} \log\left(b e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} + b\right)}{8 \, b^{2}} - \frac{{\left(2 \, a + b\right)} \log\left(2 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b e^{\left(-4 \, x\right)} + b\right)}{8 \, b^{2}} + \frac{{\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{32 \, \sqrt{{\left(a + b\right)} a} b^{2}} - \frac{{\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{32 \, \sqrt{{\left(a + b\right)} a} b^{2}}"," ",0,"1/4*(2*a + b)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b) - 3/16*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a) - (2*a + b)*x/b^2 - x/b + 1/8*e^(2*x)/b - 1/8*e^(-2*x)/b + 1/8*(2*a + b)*log(b*e^(4*x) + 2*(2*a + b)*e^(2*x) + b)/b^2 - 1/8*(2*a + b)*log(2*(2*a + b)*e^(-2*x) + b*e^(-4*x) + b)/b^2 + 1/32*(8*a^2 + 8*a*b + b^2)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2) - 1/32*(8*a^2 + 8*a*b + b^2)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2)","B",0
15,1,120,0,0.422818," ","integrate(sinh(x)^2/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{{\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a} b} + \frac{\log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a}} + \frac{x}{b}"," ",0,"-1/4*(2*a + b)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b) + 1/4*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a) + x/b","B",0
16,1,53,0,0.422408," ","integrate(1/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{2 \, \sqrt{{\left(a + b\right)} a}}"," ",0,"-1/2*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a)","B",0
17,1,161,0,0.426594," ","integrate(csch(x)^4/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{2 \, \sqrt{{\left(a + b\right)} a} {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{2 \, {\left(6 \, {\left(a + 2 \, b\right)} e^{\left(-2 \, x\right)} - 3 \, b e^{\left(-4 \, x\right)} - 2 \, a - 5 \, b\right)}}{3 \, {\left(a^{2} + 2 \, a b + b^{2} - 3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(-2 \, x\right)} + 3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(-4 \, x\right)} - {\left(a^{2} + 2 \, a b + b^{2}\right)} e^{\left(-6 \, x\right)}\right)}}"," ",0,"-1/2*b^2*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*(a^2 + 2*a*b + b^2)) - 2/3*(6*(a + 2*b)*e^(-2*x) - 3*b*e^(-4*x) - 2*a - 5*b)/(a^2 + 2*a*b + b^2 - 3*(a^2 + 2*a*b + b^2)*e^(-2*x) + 3*(a^2 + 2*a*b + b^2)*e^(-4*x) - (a^2 + 2*a*b + b^2)*e^(-6*x))","B",0
18,1,307,0,0.478887," ","integrate(csch(x)^6/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{b^{3} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{{\left(a + b\right)} a}} - \frac{2 \, {\left(15 \, b^{2} e^{\left(-8 \, x\right)} + 8 \, a^{2} + 26 \, a b + 33 \, b^{2} - 10 \, {\left(4 \, a^{2} + 13 \, a b + 15 \, b^{2}\right)} e^{\left(-2 \, x\right)} + 10 \, {\left(8 \, a^{2} + 23 \, a b + 24 \, b^{2}\right)} e^{\left(-4 \, x\right)} - 30 \, {\left(a b + 3 \, b^{2}\right)} e^{\left(-6 \, x\right)}\right)}}{15 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3} - 5 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{\left(-2 \, x\right)} + 10 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{\left(-4 \, x\right)} - 10 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{\left(-6 \, x\right)} + 5 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{\left(-8 \, x\right)} - {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} e^{\left(-10 \, x\right)}\right)}}"," ",0,"1/2*b^3*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt((a + b)*a)) - 2/15*(15*b^2*e^(-8*x) + 8*a^2 + 26*a*b + 33*b^2 - 10*(4*a^2 + 13*a*b + 15*b^2)*e^(-2*x) + 10*(8*a^2 + 23*a*b + 24*b^2)*e^(-4*x) - 30*(a*b + 3*b^2)*e^(-6*x))/(a^3 + 3*a^2*b + 3*a*b^2 + b^3 - 5*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^(-2*x) + 10*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^(-4*x) - 10*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^(-6*x) + 5*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^(-8*x) - (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*e^(-10*x))","B",0
19,0,0,0,0.000000," ","integrate(sinh(x)/(4-3*cosh(x)^3),x, algorithm=""maxima"")","-\int \frac{\sinh\left(x\right)}{3 \, \cosh\left(x\right)^{3} - 4}\,{d x}"," ",0,"-integrate(sinh(x)/(3*cosh(x)^3 - 4), x)","F",0
20,0,0,0,0.000000," ","integrate(cosh(x)^7/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, b^{2} e^{\left(10 \, x\right)} - 3 \, b^{2} - 5 \, {\left(4 \, a b - 5 \, b^{2}\right)} e^{\left(8 \, x\right)} + 30 \, {\left(8 \, a^{2} - 6 \, a b + 5 \, b^{2}\right)} e^{\left(6 \, x\right)} - 30 \, {\left(8 \, a^{2} - 6 \, a b + 5 \, b^{2}\right)} e^{\left(4 \, x\right)} + 5 \, {\left(4 \, a b - 5 \, b^{2}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-5 \, x\right)}}{480 \, b^{3}} - \frac{1}{128} \, \int \frac{256 \, {\left(a^{3} e^{\left(3 \, x\right)} + a^{3} e^{x}\right)}}{b^{4} e^{\left(4 \, x\right)} + b^{4} + 2 \, {\left(2 \, a b^{3} + b^{4}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"1/480*(3*b^2*e^(10*x) - 3*b^2 - 5*(4*a*b - 5*b^2)*e^(8*x) + 30*(8*a^2 - 6*a*b + 5*b^2)*e^(6*x) - 30*(8*a^2 - 6*a*b + 5*b^2)*e^(4*x) + 5*(4*a*b - 5*b^2)*e^(2*x))*e^(-5*x)/b^3 - 1/128*integrate(256*(a^3*e^(3*x) + a^3*e^x)/(b^4*e^(4*x) + b^4 + 2*(2*a*b^3 + b^4)*e^(2*x)), x)","F",0
21,1,651,0,0.500861," ","integrate(cosh(x)^6/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{15 \, {\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{64 \, \sqrt{{\left(a + b\right)} a} b} - \frac{5 \, \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{32 \, \sqrt{{\left(a + b\right)} a}} - \frac{3 \, {\left(2 \, a + b\right)} x}{2 \, b^{2}} + \frac{15 \, x}{16 \, b} - \frac{{\left(4 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} - b\right)} e^{\left(4 \, x\right)}}{64 \, b^{2}} + \frac{3 \, e^{\left(2 \, x\right)}}{16 \, b} - \frac{3 \, e^{\left(-2 \, x\right)}}{16 \, b} + \frac{{\left(4 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} - b\right)} e^{\left(-4 \, x\right)}}{64 \, b^{2}} + \frac{3 \, {\left(2 \, a + b\right)} \log\left(b e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} + b\right)}{16 \, b^{2}} - \frac{3 \, {\left(2 \, a + b\right)} \log\left(2 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b e^{\left(-4 \, x\right)} + b\right)}{16 \, b^{2}} + \frac{3 \, {\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{64 \, \sqrt{{\left(a + b\right)} a} b^{2}} - \frac{3 \, {\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{64 \, \sqrt{{\left(a + b\right)} a} b^{2}} + \frac{{\left(16 \, a^{2} + 16 \, a b + 3 \, b^{2}\right)} x}{8 \, b^{3}} - \frac{{\left(16 \, a^{2} + 16 \, a b + 3 \, b^{2}\right)} \log\left(b e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} + b\right)}{64 \, b^{3}} + \frac{{\left(16 \, a^{2} + 16 \, a b + 3 \, b^{2}\right)} \log\left(2 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b e^{\left(-4 \, x\right)} + b\right)}{64 \, b^{3}} - \frac{{\left(32 \, a^{3} + 48 \, a^{2} b + 18 \, a b^{2} + b^{3}\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{128 \, \sqrt{{\left(a + b\right)} a} b^{3}} + \frac{{\left(32 \, a^{3} + 48 \, a^{2} b + 18 \, a b^{2} + b^{3}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{128 \, \sqrt{{\left(a + b\right)} a} b^{3}}"," ",0,"-15/64*(2*a + b)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b) - 5/32*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a) - 3/2*(2*a + b)*x/b^2 + 15/16*x/b - 1/64*(4*(2*a + b)*e^(-2*x) - b)*e^(4*x)/b^2 + 3/16*e^(2*x)/b - 3/16*e^(-2*x)/b + 1/64*(4*(2*a + b)*e^(2*x) - b)*e^(-4*x)/b^2 + 3/16*(2*a + b)*log(b*e^(4*x) + 2*(2*a + b)*e^(2*x) + b)/b^2 - 3/16*(2*a + b)*log(2*(2*a + b)*e^(-2*x) + b*e^(-4*x) + b)/b^2 + 3/64*(8*a^2 + 8*a*b + b^2)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2) - 3/64*(8*a^2 + 8*a*b + b^2)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2) + 1/8*(16*a^2 + 16*a*b + 3*b^2)*x/b^3 - 1/64*(16*a^2 + 16*a*b + 3*b^2)*log(b*e^(4*x) + 2*(2*a + b)*e^(2*x) + b)/b^3 + 1/64*(16*a^2 + 16*a*b + 3*b^2)*log(2*(2*a + b)*e^(-2*x) + b*e^(-4*x) + b)/b^3 - 1/128*(32*a^3 + 48*a^2*b + 18*a*b^2 + b^3)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^3) + 1/128*(32*a^3 + 48*a^2*b + 18*a*b^2 + b^3)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^3)","B",0
22,0,0,0,0.000000," ","integrate(cosh(x)^5/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(b e^{\left(6 \, x\right)} - 3 \, {\left(4 \, a - 3 \, b\right)} e^{\left(4 \, x\right)} + 3 \, {\left(4 \, a - 3 \, b\right)} e^{\left(2 \, x\right)} - b\right)} e^{\left(-3 \, x\right)}}{24 \, b^{2}} + \frac{1}{32} \, \int \frac{64 \, {\left(a^{2} e^{\left(3 \, x\right)} + a^{2} e^{x}\right)}}{b^{3} e^{\left(4 \, x\right)} + b^{3} + 2 \, {\left(2 \, a b^{2} + b^{3}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"1/24*(b*e^(6*x) - 3*(4*a - 3*b)*e^(4*x) + 3*(4*a - 3*b)*e^(2*x) - b)*e^(-3*x)/b^2 + 1/32*integrate(64*(a^2*e^(3*x) + a^2*e^x)/(b^3*e^(4*x) + b^3 + 2*(2*a*b^2 + b^3)*e^(2*x)), x)","F",0
23,1,347,0,0.560948," ","integrate(cosh(x)^4/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{{\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a} b} - \frac{3 \, \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{16 \, \sqrt{{\left(a + b\right)} a}} - \frac{{\left(2 \, a + b\right)} x}{b^{2}} + \frac{x}{b} + \frac{e^{\left(2 \, x\right)}}{8 \, b} - \frac{e^{\left(-2 \, x\right)}}{8 \, b} + \frac{{\left(2 \, a + b\right)} \log\left(b e^{\left(4 \, x\right)} + 2 \, {\left(2 \, a + b\right)} e^{\left(2 \, x\right)} + b\right)}{8 \, b^{2}} - \frac{{\left(2 \, a + b\right)} \log\left(2 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b e^{\left(-4 \, x\right)} + b\right)}{8 \, b^{2}} + \frac{{\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{32 \, \sqrt{{\left(a + b\right)} a} b^{2}} - \frac{{\left(8 \, a^{2} + 8 \, a b + b^{2}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{32 \, \sqrt{{\left(a + b\right)} a} b^{2}}"," ",0,"-1/4*(2*a + b)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b) - 3/16*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a) - (2*a + b)*x/b^2 + x/b + 1/8*e^(2*x)/b - 1/8*e^(-2*x)/b + 1/8*(2*a + b)*log(b*e^(4*x) + 2*(2*a + b)*e^(2*x) + b)/b^2 - 1/8*(2*a + b)*log(2*(2*a + b)*e^(-2*x) + b*e^(-4*x) + b)/b^2 + 1/32*(8*a^2 + 8*a*b + b^2)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2) - 1/32*(8*a^2 + 8*a*b + b^2)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b^2)","B",0
24,0,0,0,0.000000," ","integrate(cosh(x)^3/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}}{2 \, b} - \frac{1}{8} \, \int \frac{16 \, {\left(a e^{\left(3 \, x\right)} + a e^{x}\right)}}{b^{2} e^{\left(4 \, x\right)} + b^{2} + 2 \, {\left(2 \, a b + b^{2}\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"1/2*(e^(2*x) - 1)*e^(-x)/b - 1/8*integrate(16*(a*e^(3*x) + a*e^x)/(b^2*e^(4*x) + b^2 + 2*(2*a*b + b^2)*e^(2*x)), x)","F",0
25,1,120,0,0.513958," ","integrate(cosh(x)^2/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{{\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a} b} - \frac{\log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a}} + \frac{x}{b}"," ",0,"-1/4*(2*a + b)*log((b*e^(2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*b) - 1/4*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a) + x/b","B",0
26,0,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\int \frac{\cosh\left(x\right)}{b \cosh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(cosh(x)/(b*cosh(x)^2 + a), x)","F",0
27,1,53,0,0.413866," ","integrate(1/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{2 \, \sqrt{{\left(a + b\right)} a}}"," ",0,"-1/2*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/sqrt((a + b)*a)","B",0
28,0,0,0,0.000000," ","integrate(sech(x)/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(e^{x}\right)}{a} - 2 \, \int \frac{b e^{\left(3 \, x\right)} + b e^{x}}{a b e^{\left(4 \, x\right)} + a b + 2 \, {\left(2 \, a^{2} + a b\right)} e^{\left(2 \, x\right)}}\,{d x}"," ",0,"2*arctan(e^x)/a - 2*integrate((b*e^(3*x) + b*e^x)/(a*b*e^(4*x) + a*b + 2*(2*a^2 + a*b)*e^(2*x)), x)","F",0
29,1,70,0,0.557030," ","integrate(sech(x)^2/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{b \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{2 \, \sqrt{{\left(a + b\right)} a} a} + \frac{2}{a e^{\left(-2 \, x\right)} + a}"," ",0,"1/2*b*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*a) + 2/(a*e^(-2*x) + a)","B",0
30,0,0,0,0.000000," ","integrate(sech(x)^3/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{e^{\left(3 \, x\right)} - e^{x}}{a e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} + a} + \frac{{\left(a - 2 \, b\right)} \arctan\left(e^{x}\right)}{a^{2}} + 8 \, \int \frac{b^{2} e^{\left(3 \, x\right)} + b^{2} e^{x}}{4 \, {\left(a^{2} b e^{\left(4 \, x\right)} + a^{2} b + 2 \, {\left(2 \, a^{3} + a^{2} b\right)} e^{\left(2 \, x\right)}\right)}}\,{d x}"," ",0,"(e^(3*x) - e^x)/(a*e^(4*x) + 2*a*e^(2*x) + a) + (a - 2*b)*arctan(e^x)/a^2 + 8*integrate(1/4*(b^2*e^(3*x) + b^2*e^x)/(a^2*b*e^(4*x) + a^2*b + 2*(2*a^3 + a^2*b)*e^(2*x)), x)","F",0
31,1,119,0,0.419637," ","integrate(sech(x)^4/(a+b*cosh(x)^2),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{2 \, \sqrt{{\left(a + b\right)} a} a^{2}} + \frac{2 \, {\left(6 \, {\left(a - b\right)} e^{\left(-2 \, x\right)} - 3 \, b e^{\left(-4 \, x\right)} + 2 \, a - 3 \, b\right)}}{3 \, {\left(3 \, a^{2} e^{\left(-2 \, x\right)} + 3 \, a^{2} e^{\left(-4 \, x\right)} + a^{2} e^{\left(-6 \, x\right)} + a^{2}\right)}}"," ",0,"-1/2*b^2*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*a^2) + 2/3*(6*(a - b)*e^(-2*x) - 3*b*e^(-4*x) + 2*a - 3*b)/(3*a^2*e^(-2*x) + 3*a^2*e^(-4*x) + a^2*e^(-6*x) + a^2)","B",0
32,0,0,0,0.000000," ","integrate(sech(x)^5/(a+b*cosh(x)^2),x, algorithm=""maxima"")","\frac{{\left(3 \, a - 4 \, b\right)} e^{\left(7 \, x\right)} + {\left(11 \, a - 4 \, b\right)} e^{\left(5 \, x\right)} - {\left(11 \, a - 4 \, b\right)} e^{\left(3 \, x\right)} - {\left(3 \, a - 4 \, b\right)} e^{x}}{4 \, {\left(a^{2} e^{\left(8 \, x\right)} + 4 \, a^{2} e^{\left(6 \, x\right)} + 6 \, a^{2} e^{\left(4 \, x\right)} + 4 \, a^{2} e^{\left(2 \, x\right)} + a^{2}\right)}} + \frac{{\left(3 \, a^{2} - 4 \, a b + 8 \, b^{2}\right)} \arctan\left(e^{x}\right)}{4 \, a^{3}} - 32 \, \int \frac{b^{3} e^{\left(3 \, x\right)} + b^{3} e^{x}}{16 \, {\left(a^{3} b e^{\left(4 \, x\right)} + a^{3} b + 2 \, {\left(2 \, a^{4} + a^{3} b\right)} e^{\left(2 \, x\right)}\right)}}\,{d x}"," ",0,"1/4*((3*a - 4*b)*e^(7*x) + (11*a - 4*b)*e^(5*x) - (11*a - 4*b)*e^(3*x) - (3*a - 4*b)*e^x)/(a^2*e^(8*x) + 4*a^2*e^(6*x) + 6*a^2*e^(4*x) + 4*a^2*e^(2*x) + a^2) + 1/4*(3*a^2 - 4*a*b + 8*b^2)*arctan(e^x)/a^3 - 32*integrate(1/16*(b^3*e^(3*x) + b^3*e^x)/(a^3*b*e^(4*x) + a^3*b + 2*(2*a^4 + a^3*b)*e^(2*x)), x)","F",0
33,1,134,0,0.525445," ","integrate(1/(a+b*cosh(x)^2)^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, a + b\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{4 \, \sqrt{{\left(a + b\right)} a} {\left(a^{2} + a b\right)}} - \frac{{\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + b}{a^{2} b + a b^{2} + 2 \, {\left(2 \, a^{3} + 3 \, a^{2} b + a b^{2}\right)} e^{\left(-2 \, x\right)} + {\left(a^{2} b + a b^{2}\right)} e^{\left(-4 \, x\right)}}"," ",0,"-1/4*(2*a + b)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/(sqrt((a + b)*a)*(a^2 + a*b)) - ((2*a + b)*e^(-2*x) + b)/(a^2*b + a*b^2 + 2*(2*a^3 + 3*a^2*b + a*b^2)*e^(-2*x) + (a^2*b + a*b^2)*e^(-4*x))","B",0
34,1,344,0,0.592024," ","integrate(1/(a+b*cosh(x)^2)^3,x, algorithm=""maxima"")","-\frac{{\left(8 \, a^{2} + 8 \, a b + 3 \, b^{2}\right)} \log\left(\frac{b e^{\left(-2 \, x\right)} + 2 \, a + b - 2 \, \sqrt{{\left(a + b\right)} a}}{b e^{\left(-2 \, x\right)} + 2 \, a + b + 2 \, \sqrt{{\left(a + b\right)} a}}\right)}{16 \, {\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{{\left(a + b\right)} a}} - \frac{6 \, a b^{2} + 3 \, b^{3} + {\left(40 \, a^{2} b + 40 \, a b^{2} + 9 \, b^{3}\right)} e^{\left(-2 \, x\right)} + 3 \, {\left(16 \, a^{3} + 24 \, a^{2} b + 14 \, a b^{2} + 3 \, b^{3}\right)} e^{\left(-4 \, x\right)} + {\left(8 \, a^{2} b + 8 \, a b^{2} + 3 \, b^{3}\right)} e^{\left(-6 \, x\right)}}{4 \, {\left(a^{4} b^{2} + 2 \, a^{3} b^{3} + a^{2} b^{4} + 4 \, {\left(2 \, a^{5} b + 5 \, a^{4} b^{2} + 4 \, a^{3} b^{3} + a^{2} b^{4}\right)} e^{\left(-2 \, x\right)} + 2 \, {\left(8 \, a^{6} + 24 \, a^{5} b + 27 \, a^{4} b^{2} + 14 \, a^{3} b^{3} + 3 \, a^{2} b^{4}\right)} e^{\left(-4 \, x\right)} + 4 \, {\left(2 \, a^{5} b + 5 \, a^{4} b^{2} + 4 \, a^{3} b^{3} + a^{2} b^{4}\right)} e^{\left(-6 \, x\right)} + {\left(a^{4} b^{2} + 2 \, a^{3} b^{3} + a^{2} b^{4}\right)} e^{\left(-8 \, x\right)}\right)}}"," ",0,"-1/16*(8*a^2 + 8*a*b + 3*b^2)*log((b*e^(-2*x) + 2*a + b - 2*sqrt((a + b)*a))/(b*e^(-2*x) + 2*a + b + 2*sqrt((a + b)*a)))/((a^4 + 2*a^3*b + a^2*b^2)*sqrt((a + b)*a)) - 1/4*(6*a*b^2 + 3*b^3 + (40*a^2*b + 40*a*b^2 + 9*b^3)*e^(-2*x) + 3*(16*a^3 + 24*a^2*b + 14*a*b^2 + 3*b^3)*e^(-4*x) + (8*a^2*b + 8*a*b^2 + 3*b^3)*e^(-6*x))/(a^4*b^2 + 2*a^3*b^3 + a^2*b^4 + 4*(2*a^5*b + 5*a^4*b^2 + 4*a^3*b^3 + a^2*b^4)*e^(-2*x) + 2*(8*a^6 + 24*a^5*b + 27*a^4*b^2 + 14*a^3*b^3 + 3*a^2*b^4)*e^(-4*x) + 4*(2*a^5*b + 5*a^4*b^2 + 4*a^3*b^3 + a^2*b^4)*e^(-6*x) + (a^4*b^2 + 2*a^3*b^3 + a^2*b^4)*e^(-8*x))","B",0
35,1,34,0,0.590714," ","integrate(1/(1+cosh(x)^2),x, algorithm=""maxima"")","-\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
36,1,59,0,0.416819," ","integrate(1/(1+cosh(x)^2)^2,x, algorithm=""maxima"")","-\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(6 \, e^{\left(-2 \, x\right)} + e^{\left(-4 \, 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)/(6*e^(-2*x) + e^(-4*x) + 1)","B",0
37,1,83,0,0.423607," ","integrate(1/(1+cosh(x)^2)^3,x, algorithm=""maxima"")","-\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{89 \, e^{\left(-2 \, x\right)} + 171 \, e^{\left(-4 \, x\right)} + 19 \, e^{\left(-6 \, x\right)} + 9}{16 \, {\left(12 \, e^{\left(-2 \, x\right)} + 38 \, e^{\left(-4 \, x\right)} + 12 \, e^{\left(-6 \, x\right)} + e^{\left(-8 \, x\right)} + 1\right)}}"," ",0,"-19/128*sqrt(2)*log(-(2*sqrt(2) - e^(-2*x) - 3)/(2*sqrt(2) + e^(-2*x) + 3)) - 1/16*(89*e^(-2*x) + 171*e^(-4*x) + 19*e^(-6*x) + 9)/(12*e^(-2*x) + 38*e^(-4*x) + 12*e^(-6*x) + e^(-8*x) + 1)","A",0
38,1,10,0,0.309784," ","integrate(1/(1-cosh(x)^2),x, algorithm=""maxima"")","-\frac{2}{e^{\left(-2 \, x\right)} - 1}"," ",0,"-2/(e^(-2*x) - 1)","B",0
39,1,49,0,0.346355," ","integrate(1/(1-cosh(x)^2)^2,x, algorithm=""maxima"")","\frac{4 \, e^{\left(-2 \, x\right)}}{3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} - 1} - \frac{4}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} - 1\right)}}"," ",0,"4*e^(-2*x)/(3*e^(-2*x) - 3*e^(-4*x) + e^(-6*x) - 1) - 4/3/(3*e^(-2*x) - 3*e^(-4*x) + e^(-6*x) - 1)","B",0
40,1,111,0,0.352856," ","integrate(1/(1-cosh(x)^2)^3,x, algorithm=""maxima"")","\frac{16 \, e^{\left(-2 \, x\right)}}{3 \, {\left(5 \, e^{\left(-2 \, x\right)} - 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} - 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} - 1\right)}} - \frac{32 \, e^{\left(-4 \, x\right)}}{3 \, {\left(5 \, e^{\left(-2 \, x\right)} - 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} - 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} - 1\right)}} - \frac{16}{15 \, {\left(5 \, e^{\left(-2 \, x\right)} - 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} - 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} - 1\right)}}"," ",0,"16/3*e^(-2*x)/(5*e^(-2*x) - 10*e^(-4*x) + 10*e^(-6*x) - 5*e^(-8*x) + e^(-10*x) - 1) - 32/3*e^(-4*x)/(5*e^(-2*x) - 10*e^(-4*x) + 10*e^(-6*x) - 5*e^(-8*x) + e^(-10*x) - 1) - 16/15/(5*e^(-2*x) - 10*e^(-4*x) + 10*e^(-6*x) - 5*e^(-8*x) + e^(-10*x) - 1)","B",0
41,0,0,0,0.000000," ","integrate((a+b*cosh(x)^2)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\int \sqrt{\cosh\left(x\right)^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(cosh(x)^2 + 1), x)","F",0
43,1,11,0,0.587749," ","integrate((1-cosh(x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} i \, e^{\left(-x\right)} - \frac{1}{2} i \, e^{x}"," ",0,"-1/2*I*e^(-x) - 1/2*I*e^x","C",0
44,1,11,0,1.416183," ","integrate((-1+cosh(x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{\left(-x\right)} - \frac{1}{2} \, e^{x}"," ",0,"-1/2*e^(-x) - 1/2*e^x","A",0
45,0,0,0,0.000000," ","integrate((-1-cosh(x)^2)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
48,1,23,0,0.878672," ","integrate((1-cosh(x)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{24} i \, e^{\left(3 \, x\right)} - \frac{3}{8} i \, e^{\left(-x\right)} + \frac{1}{24} i \, e^{\left(-3 \, x\right)} - \frac{3}{8} i \, e^{x}"," ",0,"1/24*I*e^(3*x) - 3/8*I*e^(-x) + 1/24*I*e^(-3*x) - 3/8*I*e^x","C",0
49,1,23,0,0.431430," ","integrate((-1+cosh(x)^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{\left(3 \, x\right)} + \frac{3}{8} \, e^{\left(-x\right)} - \frac{1}{24} \, e^{\left(-3 \, x\right)} + \frac{3}{8} \, e^{x}"," ",0,"-1/24*e^(3*x) + 3/8*e^(-x) - 1/24*e^(-3*x) + 3/8*e^x","A",0
50,0,0,0,0.000000," ","integrate((-1-cosh(x)^2)^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\int \frac{1}{\sqrt{\cosh\left(x\right)^{2} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(cosh(x)^2 + 1), x)","F",0
53,1,19,0,0.824325," ","integrate(1/(1-cosh(x)^2)^(1/2),x, algorithm=""maxima"")","-i \, \log\left(e^{\left(-x\right)} + 1\right) + i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-I*log(e^(-x) + 1) + I*log(e^(-x) - 1)","C",0
54,1,17,0,1.342160," ","integrate(1/(-1+cosh(x)^2)^(1/2),x, algorithm=""maxima"")","\log\left(e^{\left(-x\right)} + 1\right) - \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"log(e^(-x) + 1) - log(e^(-x) - 1)","A",0
55,0,0,0,0.000000," ","integrate(1/(-1-cosh(x)^2)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","-\int \frac{1}{b \cosh\left(x\right)^{3} - a}\,{d x}"," ",0,"-integrate(1/(b*cosh(x)^3 - a), x)","F",0
58,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^3),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(e^{x} + 1\right)}} - \int \frac{2 \, {\left(e^{\left(3 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + e^{x}\right)}}{3 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(3 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"-2/3/(e^x + 1) - integrate(2/3*(e^(3*x) - 4*e^(2*x) + e^x)/(e^(4*x) - 2*e^(3*x) + 6*e^(2*x) - 2*e^x + 1), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(1-cosh(x)^3),x, algorithm=""maxima"")","\frac{2}{3 \, {\left(e^{x} - 1\right)}} + \int \frac{2 \, {\left(e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + e^{x}\right)}}{3 \, {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(3 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"2/3/(e^x - 1) + integrate(2/3*(e^(3*x) + 4*e^(2*x) + e^x)/(e^(4*x) + 2*e^(3*x) + 6*e^(2*x) + 2*e^x + 1), x)","F",0
60,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^4),x, algorithm=""maxima"")","\int \frac{1}{b \cosh\left(x\right)^{4} + a}\,{d x}"," ",0,"integrate(1/(b*cosh(x)^4 + a), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^4),x, algorithm=""maxima"")","-\int \frac{1}{b \cosh\left(x\right)^{4} - a}\,{d x}"," ",0,"-integrate(1/(b*cosh(x)^4 - a), x)","F",0
62,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^4),x, algorithm=""maxima"")","\int \frac{1}{\cosh\left(x\right)^{4} + 1}\,{d x}"," ",0,"integrate(1/(cosh(x)^4 + 1), x)","F",0
63,1,45,0,0.444029," ","integrate(1/(1-cosh(x)^4),x, algorithm=""maxima"")","-\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=""maxima"")","\int \frac{1}{b \cosh\left(x\right)^{5} + a}\,{d x}"," ",0,"integrate(1/(b*cosh(x)^5 + a), x)","F",0
65,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^6),x, algorithm=""maxima"")","\int \frac{1}{b \cosh\left(x\right)^{6} + a}\,{d x}"," ",0,"integrate(1/(b*cosh(x)^6 + a), x)","F",0
66,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)^8),x, algorithm=""maxima"")","\int \frac{1}{b \cosh\left(x\right)^{8} + a}\,{d x}"," ",0,"integrate(1/(b*cosh(x)^8 + a), x)","F",0
67,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^5),x, algorithm=""maxima"")","-\int \frac{1}{b \cosh\left(x\right)^{5} - a}\,{d x}"," ",0,"-integrate(1/(b*cosh(x)^5 - a), x)","F",0
68,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^6),x, algorithm=""maxima"")","-\int \frac{1}{b \cosh\left(x\right)^{6} - a}\,{d x}"," ",0,"-integrate(1/(b*cosh(x)^6 - a), x)","F",0
69,0,0,0,0.000000," ","integrate(1/(a-b*cosh(x)^8),x, algorithm=""maxima"")","-\int \frac{1}{b \cosh\left(x\right)^{8} - a}\,{d x}"," ",0,"-integrate(1/(b*cosh(x)^8 - a), x)","F",0
70,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^5),x, algorithm=""maxima"")","-\frac{2}{5 \, {\left(e^{x} + 1\right)}} - \int \frac{2 \, {\left(e^{\left(7 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 15 \, e^{\left(5 \, x\right)} - 40 \, e^{\left(4 \, x\right)} + 15 \, e^{\left(3 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + e^{x}\right)}}{5 \, {\left(e^{\left(8 \, x\right)} - 2 \, e^{\left(7 \, x\right)} + 8 \, e^{\left(6 \, x\right)} - 14 \, e^{\left(5 \, x\right)} + 30 \, e^{\left(4 \, x\right)} - 14 \, e^{\left(3 \, x\right)} + 8 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"-2/5/(e^x + 1) - integrate(2/5*(e^(7*x) - 4*e^(6*x) + 15*e^(5*x) - 40*e^(4*x) + 15*e^(3*x) - 4*e^(2*x) + e^x)/(e^(8*x) - 2*e^(7*x) + 8*e^(6*x) - 14*e^(5*x) + 30*e^(4*x) - 14*e^(3*x) + 8*e^(2*x) - 2*e^x + 1), x)","F",0
71,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^6),x, algorithm=""maxima"")","-\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) - \frac{4}{3} \, \int -\frac{{\left(6 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)}}{14 \, e^{\left(-4 \, x\right)} + e^{\left(-8 \, x\right)} + 1}\,{d x}"," ",0,"-1/12*sqrt(2)*log(-(2*sqrt(2) - e^(-2*x) - 3)/(2*sqrt(2) + e^(-2*x) + 3)) - 4/3*integrate(-(6*e^(-2*x) - e^(-4*x) - 1)*e^(-2*x)/(14*e^(-4*x) + e^(-8*x) + 1), x)","F",0
72,0,0,0,0.000000," ","integrate(1/(1+cosh(x)^8),x, algorithm=""maxima"")","\int \frac{1}{\cosh\left(x\right)^{8} + 1}\,{d x}"," ",0,"integrate(1/(cosh(x)^8 + 1), x)","F",0
73,0,0,0,0.000000," ","integrate(1/(1-cosh(x)^5),x, algorithm=""maxima"")","\frac{2}{5 \, {\left(e^{x} - 1\right)}} + \int \frac{2 \, {\left(e^{\left(7 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 15 \, e^{\left(5 \, x\right)} + 40 \, e^{\left(4 \, x\right)} + 15 \, e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + e^{x}\right)}}{5 \, {\left(e^{\left(8 \, x\right)} + 2 \, e^{\left(7 \, x\right)} + 8 \, e^{\left(6 \, x\right)} + 14 \, e^{\left(5 \, x\right)} + 30 \, e^{\left(4 \, x\right)} + 14 \, e^{\left(3 \, x\right)} + 8 \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"2/5/(e^x - 1) + integrate(2/5*(e^(7*x) + 4*e^(6*x) + 15*e^(5*x) + 40*e^(4*x) + 15*e^(3*x) + 4*e^(2*x) + e^x)/(e^(8*x) + 2*e^(7*x) + 8*e^(6*x) + 14*e^(5*x) + 30*e^(4*x) + 14*e^(3*x) + 8*e^(2*x) + 2*e^x + 1), x)","F",0
74,0,0,0,0.000000," ","integrate(1/(1-cosh(x)^6),x, algorithm=""maxima"")","\frac{2}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}} + \int \frac{e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + e^{x}}{3 \, {\left(e^{\left(4 \, x\right)} + 2 \, e^{\left(3 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 1\right)}}\,{d x} - \int \frac{e^{\left(3 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + e^{x}}{3 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(3 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)}}\,{d x}"," ",0,"2/3/(e^(2*x) - 1) + integrate(1/3*(e^(3*x) + 4*e^(2*x) + e^x)/(e^(4*x) + 2*e^(3*x) + 6*e^(2*x) + 2*e^x + 1), x) - integrate(1/3*(e^(3*x) - 4*e^(2*x) + e^x)/(e^(4*x) - 2*e^(3*x) + 6*e^(2*x) - 2*e^x + 1), x)","F",0
75,0,0,0,0.000000," ","integrate(1/(1-cosh(x)^8),x, algorithm=""maxima"")","\frac{1}{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{1}{2 \, {\left(e^{\left(2 \, x\right)} - 1\right)}} + 8 \, \int \frac{e^{\left(4 \, x\right)}}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 22 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}\,{d x}"," ",0,"1/16*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + 1/2/(e^(2*x) - 1) + 8*integrate(e^(4*x)/(e^(8*x) + 4*e^(6*x) + 22*e^(4*x) + 4*e^(2*x) + 1), x)","F",0
76,1,23,0,0.299536," ","integrate(tanh(x)/(1+cosh(x)^2),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(6 \, e^{\left(-2 \, x\right)} + e^{\left(-4 \, x\right)} + 1\right) + \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"-1/2*log(6*e^(-2*x) + e^(-4*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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
80,1,7,0,0.427684," ","integrate(tanh(x)/(1-cosh(x)^2)^(1/2),x, algorithm=""maxima"")","-2 i \, \arctan\left(e^{\left(-x\right)}\right)"," ",0,"-2*I*arctan(e^(-x))","C",0
81,-1,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*cosh(x)^3),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)^3)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
