1,1,333,0,0.487459," ","integrate((d*x+c)^3*csch(b*x+a),x, algorithm=""maxima"")","-c^{3} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b}\right)} - \frac{3 \, {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c^{2} d}{b^{2}} + \frac{3 \, {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c^{2} d}{b^{2}} - \frac{3 \, {\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} c d^{2}}{b^{3}} + \frac{3 \, {\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} c d^{2}}{b^{3}} - \frac{{\left(b^{3} x^{3} \log\left(e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(-e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}} + \frac{{\left(b^{3} x^{3} \log\left(-e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}}"," ",0,"-c^3*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b) - 3*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c^2*d/b^2 + 3*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c^2*d/b^2 - 3*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*c*d^2/b^3 + 3*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*c*d^2/b^3 - (b^3*x^3*log(e^(b*x + a) + 1) + 3*b^2*x^2*dilog(-e^(b*x + a)) - 6*b*x*polylog(3, -e^(b*x + a)) + 6*polylog(4, -e^(b*x + a)))*d^3/b^4 + (b^3*x^3*log(-e^(b*x + a) + 1) + 3*b^2*x^2*dilog(e^(b*x + a)) - 6*b*x*polylog(3, e^(b*x + a)) + 6*polylog(4, e^(b*x + a)))*d^3/b^4","B",0
2,1,195,0,0.417499," ","integrate((d*x+c)^2*csch(b*x+a),x, algorithm=""maxima"")","-c^{2} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b}\right)} - \frac{2 \, {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} + \frac{2 \, {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} - \frac{{\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} d^{2}}{b^{3}} + \frac{{\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} d^{2}}{b^{3}}"," ",0,"-c^2*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b) - 2*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c*d/b^2 + 2*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c*d/b^2 - (b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*d^2/b^3 + (b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*d^2/b^3","B",0
3,0,0,0,0.000000," ","integrate((d*x+c)*csch(b*x+a),x, algorithm=""maxima"")","-c {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b}\right)} + 2 \, d {\left(\int \frac{x}{2 \, {\left(e^{\left(b x + a\right)} + 1\right)}}\,{d x} + \int \frac{x}{2 \, {\left(e^{\left(b x + a\right)} - 1\right)}}\,{d x}\right)}"," ",0,"-c*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b) + 2*d*(integrate(1/2*x/(e^(b*x + a) + 1), x) + integrate(1/2*x/(e^(b*x + a) - 1), x))","F",0
4,0,0,0,0.000000," ","integrate(csch(b*x+a)/x,x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)/x, x)","F",0
5,1,320,0,1.918397," ","integrate((d*x+c)^3*csch(b*x+a)^2,x, algorithm=""maxima"")","-3 \, c^{2} d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} - b} - \frac{\log\left({\left(e^{\left(b x + a\right)} + 1\right)} e^{\left(-a\right)}\right)}{b^{2}} - \frac{\log\left({\left(e^{\left(b x + a\right)} - 1\right)} e^{\left(-a\right)}\right)}{b^{2}}\right)} + \frac{6 \, {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c d^{2}}{b^{3}} + \frac{6 \, {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c d^{2}}{b^{3}} + \frac{2 \, c^{3}}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} - 1\right)}} - \frac{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2}\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} - b} + \frac{3 \, {\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}} + \frac{3 \, {\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}} - \frac{2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2}\right)}}{b^{4}}"," ",0,"-3*c^2*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) - b) - log((e^(b*x + a) + 1)*e^(-a))/b^2 - log((e^(b*x + a) - 1)*e^(-a))/b^2) + 6*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c*d^2/b^3 + 6*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c*d^2/b^3 + 2*c^3/(b*(e^(-2*b*x - 2*a) - 1)) - 2*(d^3*x^3 + 3*c*d^2*x^2)/(b*e^(2*b*x + 2*a) - b) + 3*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*d^3/b^4 + 3*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*d^3/b^4 - 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2)/b^4","B",0
6,0,0,0,0.000000," ","integrate((d*x+c)^2*csch(b*x+a)^2,x, algorithm=""maxima"")","-2 \, d^{2} {\left(\frac{x^{2}}{b e^{\left(2 \, b x + 2 \, a\right)} - b} + 2 \, \int \frac{x}{2 \, {\left(b e^{\left(b x + a\right)} + b\right)}}\,{d x} - 2 \, \int \frac{x}{2 \, {\left(b e^{\left(b x + a\right)} - b\right)}}\,{d x}\right)} - 2 \, c d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} - b} - \frac{\log\left({\left(e^{\left(b x + a\right)} + 1\right)} e^{\left(-a\right)}\right)}{b^{2}} - \frac{\log\left({\left(e^{\left(b x + a\right)} - 1\right)} e^{\left(-a\right)}\right)}{b^{2}}\right)} + \frac{2 \, c^{2}}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} - 1\right)}}"," ",0,"-2*d^2*(x^2/(b*e^(2*b*x + 2*a) - b) + 2*integrate(1/2*x/(b*e^(b*x + a) + b), x) - 2*integrate(1/2*x/(b*e^(b*x + a) - b), x)) - 2*c*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) - b) - log((e^(b*x + a) + 1)*e^(-a))/b^2 - log((e^(b*x + a) - 1)*e^(-a))/b^2) + 2*c^2/(b*(e^(-2*b*x - 2*a) - 1))","F",0
7,1,91,0,0.407332," ","integrate((d*x+c)*csch(b*x+a)^2,x, algorithm=""maxima"")","-d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} - b} - \frac{\log\left({\left(e^{\left(b x + a\right)} + 1\right)} e^{\left(-a\right)}\right)}{b^{2}} - \frac{\log\left({\left(e^{\left(b x + a\right)} - 1\right)} e^{\left(-a\right)}\right)}{b^{2}}\right)} + \frac{2 \, c}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} - 1\right)}}"," ",0,"-d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) - b) - log((e^(b*x + a) + 1)*e^(-a))/b^2 - log((e^(b*x + a) - 1)*e^(-a))/b^2) + 2*c/(b*(e^(-2*b*x - 2*a) - 1))","B",0
8,0,0,0,0.000000," ","integrate(csch(b*x+a)^2/x,x, algorithm=""maxima"")","-\frac{2}{b x e^{\left(2 \, b x + 2 \, a\right)} - b x} + 4 \, \int \frac{1}{4 \, {\left(b x^{2} e^{\left(b x + a\right)} + b x^{2}\right)}}\,{d x} - 4 \, \int \frac{1}{4 \, {\left(b x^{2} e^{\left(b x + a\right)} - b x^{2}\right)}}\,{d x}"," ",0,"-2/(b*x*e^(2*b*x + 2*a) - b*x) + 4*integrate(1/4/(b*x^2*e^(b*x + a) + b*x^2), x) - 4*integrate(1/4/(b*x^2*e^(b*x + a) - b*x^2), x)","F",0
9,1,605,0,0.543217," ","integrate((d*x+c)^3*csch(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{3} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b} + \frac{2 \, {\left(e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} - 1\right)}}\right)} + \frac{3 \, {\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} c d^{2}}{2 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} c d^{2}}{2 \, b^{3}} - \frac{3 \, c d^{2} \log\left(e^{\left(b x + a\right)} + 1\right)}{b^{3}} + \frac{3 \, c d^{2} \log\left(e^{\left(b x + a\right)} - 1\right)}{b^{3}} - \frac{{\left(b d^{3} x^{3} e^{\left(3 \, a\right)} + 3 \, c^{2} d e^{\left(3 \, a\right)} + 3 \, {\left(b c d^{2} + d^{3}\right)} x^{2} e^{\left(3 \, a\right)} + 3 \, {\left(b c^{2} d + 2 \, c d^{2}\right)} x e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} + {\left(b d^{3} x^{3} e^{a} - 3 \, c^{2} d e^{a} + 3 \, {\left(b c d^{2} - d^{3}\right)} x^{2} e^{a} + 3 \, {\left(b c^{2} d - 2 \, c d^{2}\right)} x e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} + \frac{{\left(b^{3} x^{3} \log\left(e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(-e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(b x + a\right)})\right)} d^{3}}{2 \, b^{4}} - \frac{{\left(b^{3} x^{3} \log\left(-e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(e^{\left(b x + a\right)})\right)} d^{3}}{2 \, b^{4}} + \frac{3 \, {\left(b^{2} c^{2} d - 2 \, d^{3}\right)} {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)}}{2 \, b^{4}} - \frac{3 \, {\left(b^{2} c^{2} d - 2 \, d^{3}\right)} {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)}}{2 \, b^{4}}"," ",0,"1/2*c^3*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b + 2*(e^(-b*x - a) + e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) - e^(-4*b*x - 4*a) - 1))) + 3/2*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*c*d^2/b^3 - 3/2*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*c*d^2/b^3 - 3*c*d^2*log(e^(b*x + a) + 1)/b^3 + 3*c*d^2*log(e^(b*x + a) - 1)/b^3 - ((b*d^3*x^3*e^(3*a) + 3*c^2*d*e^(3*a) + 3*(b*c*d^2 + d^3)*x^2*e^(3*a) + 3*(b*c^2*d + 2*c*d^2)*x*e^(3*a))*e^(3*b*x) + (b*d^3*x^3*e^a - 3*c^2*d*e^a + 3*(b*c*d^2 - d^3)*x^2*e^a + 3*(b*c^2*d - 2*c*d^2)*x*e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) - 2*b^2*e^(2*b*x + 2*a) + b^2) + 1/2*(b^3*x^3*log(e^(b*x + a) + 1) + 3*b^2*x^2*dilog(-e^(b*x + a)) - 6*b*x*polylog(3, -e^(b*x + a)) + 6*polylog(4, -e^(b*x + a)))*d^3/b^4 - 1/2*(b^3*x^3*log(-e^(b*x + a) + 1) + 3*b^2*x^2*dilog(e^(b*x + a)) - 6*b*x*polylog(3, e^(b*x + a)) + 6*polylog(4, e^(b*x + a)))*d^3/b^4 + 3/2*(b^2*c^2*d - 2*d^3)*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))/b^4 - 3/2*(b^2*c^2*d - 2*d^3)*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))/b^4","B",0
10,1,393,0,0.832295," ","integrate((d*x+c)^2*csch(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{2} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b} + \frac{2 \, {\left(e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} - 1\right)}}\right)} + \frac{{\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} - \frac{{\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} - \frac{{\left(b d^{2} x^{2} e^{\left(3 \, a\right)} + 2 \, c d e^{\left(3 \, a\right)} + 2 \, {\left(b c d + d^{2}\right)} x e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} + {\left(b d^{2} x^{2} e^{a} - 2 \, c d e^{a} + 2 \, {\left(b c d - d^{2}\right)} x e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} + \frac{{\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} d^{2}}{2 \, b^{3}} - \frac{{\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} d^{2}}{2 \, b^{3}} - \frac{d^{2} \log\left(e^{\left(b x + a\right)} + 1\right)}{b^{3}} + \frac{d^{2} \log\left(e^{\left(b x + a\right)} - 1\right)}{b^{3}}"," ",0,"1/2*c^2*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b + 2*(e^(-b*x - a) + e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) - e^(-4*b*x - 4*a) - 1))) + (b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c*d/b^2 - (b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c*d/b^2 - ((b*d^2*x^2*e^(3*a) + 2*c*d*e^(3*a) + 2*(b*c*d + d^2)*x*e^(3*a))*e^(3*b*x) + (b*d^2*x^2*e^a - 2*c*d*e^a + 2*(b*c*d - d^2)*x*e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) - 2*b^2*e^(2*b*x + 2*a) + b^2) + 1/2*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*d^2/b^3 - 1/2*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*d^2/b^3 - d^2*log(e^(b*x + a) + 1)/b^3 + d^2*log(e^(b*x + a) - 1)/b^3","B",0
11,0,0,0,0.000000," ","integrate((d*x+c)*csch(b*x+a)^3,x, algorithm=""maxima"")","-d {\left(\frac{{\left(b x e^{\left(3 \, a\right)} + e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} + {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} + 8 \, \int \frac{x}{16 \, {\left(e^{\left(b x + a\right)} + 1\right)}}\,{d x} + 8 \, \int \frac{x}{16 \, {\left(e^{\left(b x + a\right)} - 1\right)}}\,{d x}\right)} + \frac{1}{2} \, c {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b} + \frac{2 \, {\left(e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} - 1\right)}}\right)}"," ",0,"-d*(((b*x*e^(3*a) + e^(3*a))*e^(3*b*x) + (b*x*e^a - e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) - 2*b^2*e^(2*b*x + 2*a) + b^2) + 8*integrate(1/16*x/(e^(b*x + a) + 1), x) + 8*integrate(1/16*x/(e^(b*x + a) - 1), x)) + 1/2*c*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b + 2*(e^(-b*x - a) + e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) - e^(-4*b*x - 4*a) - 1)))","F",0
12,0,0,0,0.000000," ","integrate(csch(b*x+a)^3/x,x, algorithm=""maxima"")","-\frac{{\left(b x e^{\left(3 \, a\right)} - e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} + {\left(b x e^{a} + e^{a}\right)} e^{\left(b x\right)}}{b^{2} x^{2} e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2} x^{2}} - 8 \, \int \frac{b^{2} x^{2} - 2}{16 \, {\left(b^{2} x^{3} e^{\left(b x + a\right)} + b^{2} x^{3}\right)}}\,{d x} - 8 \, \int \frac{b^{2} x^{2} - 2}{16 \, {\left(b^{2} x^{3} e^{\left(b x + a\right)} - b^{2} x^{3}\right)}}\,{d x}"," ",0,"-((b*x*e^(3*a) - e^(3*a))*e^(3*b*x) + (b*x*e^a + e^a)*e^(b*x))/(b^2*x^2*e^(4*b*x + 4*a) - 2*b^2*x^2*e^(2*b*x + 2*a) + b^2*x^2) - 8*integrate(1/16*(b^2*x^2 - 2)/(b^2*x^3*e^(b*x + a) + b^2*x^3), x) - 8*integrate(1/16*(b^2*x^2 - 2)/(b^2*x^3*e^(b*x + a) - b^2*x^3), x)","F",0
13,0,0,0,0.000000," ","integrate(x/csch(x)^(3/2)+1/3*x*csch(x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{3} \, x \sqrt{\operatorname{csch}\left(x\right)} + \frac{x}{\operatorname{csch}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/3*x*sqrt(csch(x)) + x/csch(x)^(3/2), x)","F",0
14,0,0,0,0.000000," ","integrate(x/csch(x)^(5/2)+3/5*x/csch(x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x}{5 \, \sqrt{\operatorname{csch}\left(x\right)}} + \frac{x}{\operatorname{csch}\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(3/5*x/sqrt(csch(x)) + x/csch(x)^(5/2), x)","F",0
15,0,0,0,0.000000," ","integrate(x/csch(x)^(7/2)-5/21*x*csch(x)^(1/2),x, algorithm=""maxima"")","\int -\frac{5}{21} \, x \sqrt{\operatorname{csch}\left(x\right)} + \frac{x}{\operatorname{csch}\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(-5/21*x*sqrt(csch(x)) + x/csch(x)^(7/2), x)","F",0
16,0,0,0,0.000000," ","integrate(x^2/csch(x)^(3/2)+1/3*x^2*csch(x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{3} \, x^{2} \sqrt{\operatorname{csch}\left(x\right)} + \frac{x^{2}}{\operatorname{csch}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/3*x^2*sqrt(csch(x)) + x^2/csch(x)^(3/2), x)","F",0
17,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{2 \, {\left(d x + c\right)} b}{a^{2} d} - \frac{e^{\left(d x + c\right)}}{a d} + \frac{e^{\left(-d x - c\right)}}{a d} + \frac{2 \, b \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{2} d}\right)} - \frac{{\left(b d^{4} f^{3} x^{4} e^{c} + 4 \, b d^{4} e f^{2} x^{3} e^{c} + 6 \, b d^{4} e^{2} f x^{2} e^{c} - 2 \, {\left(a d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a x e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 2 \, {\left(a d^{3} f^{3} x^{3} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a x^{2} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a x + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{4 \, a^{2} d^{4}} + \int -\frac{2 \, {\left(a b f^{3} x^{3} + 3 \, a b e f^{2} x^{2} + 3 \, a b e^{2} f x - {\left(b^{2} f^{3} x^{3} e^{c} + 3 \, b^{2} e f^{2} x^{2} e^{c} + 3 \, b^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b e^{\left(d x + c\right)} - a^{3}}\,{d x}"," ",0,"-1/2*e^3*(2*(d*x + c)*b/(a^2*d) - e^(d*x + c)/(a*d) + e^(-d*x - c)/(a*d) + 2*b*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^2*d)) - 1/4*(b*d^4*f^3*x^4*e^c + 4*b*d^4*e*f^2*x^3*e^c + 6*b*d^4*e^2*f*x^2*e^c - 2*(a*d^3*f^3*x^3*e^(2*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*x^2*e^(2*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*x*e^(2*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*e^(2*c))*e^(d*x) + 2*(a*d^3*f^3*x^3 + 3*(d^3*e*f^2 + d^2*f^3)*a*x^2 + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*x + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a)*e^(-d*x))*e^(-c)/(a^2*d^4) + integrate(-2*(a*b*f^3*x^3 + 3*a*b*e*f^2*x^2 + 3*a*b*e^2*f*x - (b^2*f^3*x^3*e^c + 3*b^2*e*f^2*x^2*e^c + 3*b^2*e^2*f*x*e^c)*e^(d*x))/(a^3*e^(2*d*x + 2*c) + 2*a^2*b*e^(d*x + c) - a^3), x)","F",0
18,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{2 \, {\left(d x + c\right)} b}{a^{2} d} - \frac{e^{\left(d x + c\right)}}{a d} + \frac{e^{\left(-d x - c\right)}}{a d} + \frac{2 \, b \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{2} d}\right)} - \frac{{\left(2 \, b d^{3} f^{2} x^{3} e^{c} + 6 \, b d^{3} e f x^{2} e^{c} - 3 \, {\left(a d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} a x e^{\left(2 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 3 \, {\left(a d^{2} f^{2} x^{2} + 2 \, {\left(d^{2} e f + d f^{2}\right)} a x + 2 \, {\left(d e f + f^{2}\right)} a\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{6 \, a^{2} d^{3}} + \int -\frac{2 \, {\left(a b f^{2} x^{2} + 2 \, a b e f x - {\left(b^{2} f^{2} x^{2} e^{c} + 2 \, b^{2} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b e^{\left(d x + c\right)} - a^{3}}\,{d x}"," ",0,"-1/2*e^2*(2*(d*x + c)*b/(a^2*d) - e^(d*x + c)/(a*d) + e^(-d*x - c)/(a*d) + 2*b*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^2*d)) - 1/6*(2*b*d^3*f^2*x^3*e^c + 6*b*d^3*e*f*x^2*e^c - 3*(a*d^2*f^2*x^2*e^(2*c) + 2*(d^2*e*f - d*f^2)*a*x*e^(2*c) - 2*(d*e*f - f^2)*a*e^(2*c))*e^(d*x) + 3*(a*d^2*f^2*x^2 + 2*(d^2*e*f + d*f^2)*a*x + 2*(d*e*f + f^2)*a)*e^(-d*x))*e^(-c)/(a^2*d^3) + integrate(-2*(a*b*f^2*x^2 + 2*a*b*e*f*x - (b^2*f^2*x^2*e^c + 2*b^2*e*f*x*e^c)*e^(d*x))/(a^3*e^(2*d*x + 2*c) + 2*a^2*b*e^(d*x + c) - a^3), x)","F",0
19,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e {\left(\frac{2 \, {\left(d x + c\right)} b}{a^{2} d} - \frac{e^{\left(d x + c\right)}}{a d} + \frac{e^{\left(-d x - c\right)}}{a d} + \frac{2 \, b \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{2} d}\right)} - \frac{1}{2} \, f {\left(\frac{{\left(b d^{2} x^{2} e^{c} - {\left(a d x e^{\left(2 \, c\right)} - a e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + {\left(a d x + a\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{a^{2} d^{2}} - \int \frac{4 \, {\left(b^{2} x e^{\left(d x + c\right)} - a b x\right)}}{a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b e^{\left(d x + c\right)} - a^{3}}\,{d x}\right)}"," ",0,"-1/2*e*(2*(d*x + c)*b/(a^2*d) - e^(d*x + c)/(a*d) + e^(-d*x - c)/(a*d) + 2*b*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^2*d)) - 1/2*f*((b*d^2*x^2*e^c - (a*d*x*e^(2*c) - a*e^(2*c))*e^(d*x) + (a*d*x + a)*e^(-d*x))*e^(-c)/(a^2*d^2) - integrate(4*(b^2*x*e^(d*x + c) - a*b*x)/(a^3*e^(2*d*x + 2*c) + 2*a^2*b*e^(d*x + c) - a^3), x))","F",0
20,1,83,0,0.676345," ","integrate(cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} b}{a^{2} d} + \frac{e^{\left(d x + c\right)}}{2 \, a d} - \frac{e^{\left(-d x - c\right)}}{2 \, a d} - \frac{b \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{2} d}"," ",0,"-(d*x + c)*b/(a^2*d) + 1/2*e^(d*x + c)/(a*d) - 1/2*e^(-d*x - c)/(a*d) - b*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^2*d)","B",0
21,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(f*x+e)/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, a f} - \frac{e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, a f} - \frac{b \log\left(f x + e\right)}{a^{2} f} + \frac{1}{2} \, \int -\frac{4 \, {\left(b^{2} e^{\left(d x + c\right)} - a b\right)}}{a^{3} f x + a^{3} e - {\left(a^{3} f x e^{\left(2 \, c\right)} + a^{3} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{2} b f x e^{c} + a^{2} b e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-1/2*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(a*f) - 1/2*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(a*f) - b*log(f*x + e)/(a^2*f) + 1/2*integrate(-4*(b^2*e^(d*x + c) - a*b)/(a^3*f*x + a^3*e - (a^3*f*x*e^(2*c) + a^3*e*e^(2*c))*e^(2*d*x) - 2*(a^2*b*f*x*e^c + a^2*b*e*e^c)*e^(d*x)), x)","F",0
22,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{3} {\left(\frac{{\left(4 \, b e^{\left(-d x - c\right)} - a\right)} e^{\left(2 \, d x + 2 \, c\right)}}{a^{2} d} - \frac{4 \, {\left(a^{2} + 2 \, b^{2}\right)} {\left(d x + c\right)}}{a^{3} d} + \frac{4 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}}{a^{2} d} + \frac{8 \, {\left(a^{2} b + b^{3}\right)} \log\left(\frac{a e^{\left(-d x - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d x - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}\right)} + \frac{{\left(4 \, {\left(a^{2} d^{4} f^{3} e^{\left(2 \, c\right)} + 2 \, b^{2} d^{4} f^{3} e^{\left(2 \, c\right)}\right)} x^{4} + 16 \, {\left(a^{2} d^{4} e f^{2} e^{\left(2 \, c\right)} + 2 \, b^{2} d^{4} e f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 24 \, {\left(a^{2} d^{4} e^{2} f e^{\left(2 \, c\right)} + 2 \, b^{2} d^{4} e^{2} f e^{\left(2 \, c\right)}\right)} x^{2} + {\left(4 \, a^{2} d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} x^{2} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} x e^{\left(4 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{\left(3 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{c} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b x^{2} e^{c} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{c} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{c}\right)} e^{\left(-d x\right)} - {\left(4 \, a^{2} d^{3} f^{3} x^{3} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} x^{2} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} x + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{32 \, a^{3} d^{4}} - \int \frac{2 \, {\left({\left(a^{2} b f^{3} e^{c} + b^{3} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{2} b e f^{2} e^{c} + b^{3} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{2} b e^{2} f e^{c} + b^{3} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} - a^{4}}\,{d x}"," ",0,"-1/8*e^3*((4*b*e^(-d*x - c) - a)*e^(2*d*x + 2*c)/(a^2*d) - 4*(a^2 + 2*b^2)*(d*x + c)/(a^3*d) + (4*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c))/(a^2*d) + 8*(a^2*b + b^3)*log((a*e^(-d*x - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*x - c) - b + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d)) + 1/32*(4*(a^2*d^4*f^3*e^(2*c) + 2*b^2*d^4*f^3*e^(2*c))*x^4 + 16*(a^2*d^4*e*f^2*e^(2*c) + 2*b^2*d^4*e*f^2*e^(2*c))*x^3 + 24*(a^2*d^4*e^2*f*e^(2*c) + 2*b^2*d^4*e^2*f*e^(2*c))*x^2 + (4*a^2*d^3*f^3*x^3*e^(4*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*a^2*x^2*e^(4*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a^2*x*e^(4*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a^2*e^(4*c))*e^(2*d*x) - 16*(a*b*d^3*f^3*x^3*e^(3*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*b*x^2*e^(3*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^(3*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b*e^(3*c))*e^(d*x) - 16*(a*b*d^3*f^3*x^3*e^c + 3*(d^3*e*f^2 + d^2*f^3)*a*b*x^2*e^c + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^c + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b*e^c)*e^(-d*x) - (4*a^2*d^3*f^3*x^3 + 6*(2*d^3*e*f^2 + d^2*f^3)*a^2*x^2 + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a^2*x + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a^2)*e^(-2*d*x))*e^(-2*c)/(a^3*d^4) - integrate(2*((a^2*b*f^3*e^c + b^3*f^3*e^c)*x^3 + 3*(a^2*b*e*f^2*e^c + b^3*e*f^2*e^c)*x^2 + 3*(a^2*b*e^2*f*e^c + b^3*e^2*f*e^c)*x)*e^(d*x)/(a^4*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) - a^4), x)","F",0
23,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{2} {\left(\frac{{\left(4 \, b e^{\left(-d x - c\right)} - a\right)} e^{\left(2 \, d x + 2 \, c\right)}}{a^{2} d} - \frac{4 \, {\left(a^{2} + 2 \, b^{2}\right)} {\left(d x + c\right)}}{a^{3} d} + \frac{4 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}}{a^{2} d} + \frac{8 \, {\left(a^{2} b + b^{3}\right)} \log\left(\frac{a e^{\left(-d x - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d x - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}\right)} + \frac{{\left(8 \, {\left(a^{2} d^{3} f^{2} e^{\left(2 \, c\right)} + 2 \, b^{2} d^{3} f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 24 \, {\left(a^{2} d^{3} e f e^{\left(2 \, c\right)} + 2 \, b^{2} d^{3} e f e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(2 \, a^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a^{2} x e^{\left(4 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} a^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} a b x e^{\left(3 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(d^{2} e f + d f^{2}\right)} a b x e^{c} + 2 \, {\left(d e f + f^{2}\right)} a b e^{c}\right)} e^{\left(-d x\right)} - 3 \, {\left(2 \, a^{2} d^{2} f^{2} x^{2} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a^{2} x + {\left(2 \, d e f + f^{2}\right)} a^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{48 \, a^{3} d^{3}} - \int \frac{2 \, {\left({\left(a^{2} b f^{2} e^{c} + b^{3} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} b e f e^{c} + b^{3} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} - a^{4}}\,{d x}"," ",0,"-1/8*e^2*((4*b*e^(-d*x - c) - a)*e^(2*d*x + 2*c)/(a^2*d) - 4*(a^2 + 2*b^2)*(d*x + c)/(a^3*d) + (4*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c))/(a^2*d) + 8*(a^2*b + b^3)*log((a*e^(-d*x - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*x - c) - b + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d)) + 1/48*(8*(a^2*d^3*f^2*e^(2*c) + 2*b^2*d^3*f^2*e^(2*c))*x^3 + 24*(a^2*d^3*e*f*e^(2*c) + 2*b^2*d^3*e*f*e^(2*c))*x^2 + 3*(2*a^2*d^2*f^2*x^2*e^(4*c) + 2*(2*d^2*e*f - d*f^2)*a^2*x*e^(4*c) - (2*d*e*f - f^2)*a^2*e^(4*c))*e^(2*d*x) - 24*(a*b*d^2*f^2*x^2*e^(3*c) + 2*(d^2*e*f - d*f^2)*a*b*x*e^(3*c) - 2*(d*e*f - f^2)*a*b*e^(3*c))*e^(d*x) - 24*(a*b*d^2*f^2*x^2*e^c + 2*(d^2*e*f + d*f^2)*a*b*x*e^c + 2*(d*e*f + f^2)*a*b*e^c)*e^(-d*x) - 3*(2*a^2*d^2*f^2*x^2 + 2*(2*d^2*e*f + d*f^2)*a^2*x + (2*d*e*f + f^2)*a^2)*e^(-2*d*x))*e^(-2*c)/(a^3*d^3) - integrate(2*((a^2*b*f^2*e^c + b^3*f^2*e^c)*x^2 + 2*(a^2*b*e*f*e^c + b^3*e*f*e^c)*x)*e^(d*x)/(a^4*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) - a^4), x)","F",0
24,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(32 \, {\left(a^{2} b e^{c} + b^{3} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{a^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} - a^{4}}\,{d x} - \frac{{\left(4 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + 2 \, b^{2} d^{2} e^{\left(2 \, c\right)}\right)} x^{2} + {\left(2 \, a^{2} d x e^{\left(4 \, c\right)} - a^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 8 \, {\left(a b d x e^{\left(3 \, c\right)} - a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 8 \, {\left(a b d x e^{c} + a b e^{c}\right)} e^{\left(-d x\right)} - {\left(2 \, a^{2} d x + a^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{a^{3} d^{2}}\right)} f - \frac{1}{8} \, e {\left(\frac{{\left(4 \, b e^{\left(-d x - c\right)} - a\right)} e^{\left(2 \, d x + 2 \, c\right)}}{a^{2} d} - \frac{4 \, {\left(a^{2} + 2 \, b^{2}\right)} {\left(d x + c\right)}}{a^{3} d} + \frac{4 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}}{a^{2} d} + \frac{8 \, {\left(a^{2} b + b^{3}\right)} \log\left(\frac{a e^{\left(-d x - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d x - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}\right)}"," ",0,"-1/16*(32*(a^2*b*e^c + b^3*e^c)*integrate(x*e^(d*x)/(a^4*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) - a^4), x) - (4*(a^2*d^2*e^(2*c) + 2*b^2*d^2*e^(2*c))*x^2 + (2*a^2*d*x*e^(4*c) - a^2*e^(4*c))*e^(2*d*x) - 8*(a*b*d*x*e^(3*c) - a*b*e^(3*c))*e^(d*x) - 8*(a*b*d*x*e^c + a*b*e^c)*e^(-d*x) - (2*a^2*d*x + a^2)*e^(-2*d*x))*e^(-2*c)/(a^3*d^2))*f - 1/8*e*((4*b*e^(-d*x - c) - a)*e^(2*d*x + 2*c)/(a^2*d) - 4*(a^2 + 2*b^2)*(d*x + c)/(a^3*d) + (4*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c))/(a^2*d) + 8*(a^2*b + b^3)*log((a*e^(-d*x - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*x - c) - b + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d))","F",0
25,1,168,0,0.416819," ","integrate(cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(4 \, b e^{\left(-d x - c\right)} - a\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, a^{2} d} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} {\left(d x + c\right)}}{2 \, a^{3} d} - \frac{4 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, a^{2} d} - \frac{{\left(a^{2} b + b^{3}\right)} \log\left(\frac{a e^{\left(-d x - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d x - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}"," ",0,"-1/8*(4*b*e^(-d*x - c) - a)*e^(2*d*x + 2*c)/(a^2*d) + 1/2*(a^2 + 2*b^2)*(d*x + c)/(a^3*d) - 1/8*(4*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c))/(a^2*d) - (a^2*b + b^3)*log((a*e^(-d*x - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*x - c) - b + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d)","A",0
26,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{3} {\left(\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - a^{2} - 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{a^{3} d} + \frac{24 \, {\left(a^{2} b + b^{3}\right)} {\left(d x + c\right)}}{a^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + a^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-d x - c\right)}}{a^{3} d} + \frac{24 \, {\left(a^{2} b + b^{3}\right)} \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{4} d}\right)} - \frac{{\left(216 \, {\left(a^{2} b d^{4} f^{3} e^{\left(3 \, c\right)} + b^{3} d^{4} f^{3} e^{\left(3 \, c\right)}\right)} x^{4} + 864 \, {\left(a^{2} b d^{4} e f^{2} e^{\left(3 \, c\right)} + b^{3} d^{4} e f^{2} e^{\left(3 \, c\right)}\right)} x^{3} + 1296 \, {\left(a^{2} b d^{4} e^{2} f e^{\left(3 \, c\right)} + b^{3} d^{4} e^{2} f e^{\left(3 \, c\right)}\right)} x^{2} - 4 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} e^{\left(6 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{3} x^{2} e^{\left(6 \, c\right)} + 3 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} x e^{\left(6 \, c\right)} - {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b x^{2} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} b x e^{\left(5 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a^{2} b e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 108 \, {\left(9 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} e^{\left(4 \, c\right)} + 12 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b^{2} e^{\left(4 \, c\right)} - {\left(3 \, a^{3} d^{3} f^{3} e^{\left(4 \, c\right)} + 4 \, a b^{2} d^{3} f^{3} e^{\left(4 \, c\right)}\right)} x^{3} - 3 \, {\left(3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{3} e^{\left(4 \, c\right)} + 4 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{2} e^{\left(4 \, c\right)}\right)} x^{2} - 3 \, {\left(3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} e^{\left(4 \, c\right)} + 4 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{2} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 108 \, {\left(9 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} e^{\left(2 \, c\right)} + 12 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b^{2} e^{\left(2 \, c\right)} + {\left(3 \, a^{3} d^{3} f^{3} e^{\left(2 \, c\right)} + 4 \, a b^{2} d^{3} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{3} e^{\left(2 \, c\right)} + 4 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} e^{\left(2 \, c\right)} + 4 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{2} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 27 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} e^{c} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b x^{2} e^{c} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} b x e^{c} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a^{2} b e^{c}\right)} e^{\left(-2 \, d x\right)} + 4 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{3} x^{2} + 3 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} x + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} a^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{864 \, a^{4} d^{4}} + \int -\frac{2 \, {\left({\left(a^{3} b f^{3} + a b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{3} b e f^{2} + a b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{3} b e^{2} f + a b^{3} e^{2} f\right)} x - {\left({\left(a^{2} b^{2} f^{3} e^{c} + b^{4} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{2} b^{2} e f^{2} e^{c} + b^{4} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{2} b^{2} e^{2} f e^{c} + b^{4} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} b e^{\left(d x + c\right)} - a^{5}}\,{d x}"," ",0,"-1/24*e^3*((3*a*b*e^(-d*x - c) - a^2 - 3*(3*a^2 + 4*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(a^3*d) + 24*(a^2*b + b^3)*(d*x + c)/(a^4*d) + (3*a*b*e^(-2*d*x - 2*c) + a^2*e^(-3*d*x - 3*c) + 3*(3*a^2 + 4*b^2)*e^(-d*x - c))/(a^3*d) + 24*(a^2*b + b^3)*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^4*d)) - 1/864*(216*(a^2*b*d^4*f^3*e^(3*c) + b^3*d^4*f^3*e^(3*c))*x^4 + 864*(a^2*b*d^4*e*f^2*e^(3*c) + b^3*d^4*e*f^2*e^(3*c))*x^3 + 1296*(a^2*b*d^4*e^2*f*e^(3*c) + b^3*d^4*e^2*f*e^(3*c))*x^2 - 4*(9*a^3*d^3*f^3*x^3*e^(6*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*a^3*x^2*e^(6*c) + 3*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*a^3*x*e^(6*c) - (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*a^3*e^(6*c))*e^(3*d*x) + 27*(4*a^2*b*d^3*f^3*x^3*e^(5*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*a^2*b*x^2*e^(5*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a^2*b*x*e^(5*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a^2*b*e^(5*c))*e^(2*d*x) + 108*(9*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^3*e^(4*c) + 12*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b^2*e^(4*c) - (3*a^3*d^3*f^3*e^(4*c) + 4*a*b^2*d^3*f^3*e^(4*c))*x^3 - 3*(3*(d^3*e*f^2 - d^2*f^3)*a^3*e^(4*c) + 4*(d^3*e*f^2 - d^2*f^3)*a*b^2*e^(4*c))*x^2 - 3*(3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^3*e^(4*c) + 4*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b^2*e^(4*c))*x)*e^(d*x) + 108*(9*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^3*e^(2*c) + 12*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b^2*e^(2*c) + (3*a^3*d^3*f^3*e^(2*c) + 4*a*b^2*d^3*f^3*e^(2*c))*x^3 + 3*(3*(d^3*e*f^2 + d^2*f^3)*a^3*e^(2*c) + 4*(d^3*e*f^2 + d^2*f^3)*a*b^2*e^(2*c))*x^2 + 3*(3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^3*e^(2*c) + 4*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b^2*e^(2*c))*x)*e^(-d*x) + 27*(4*a^2*b*d^3*f^3*x^3*e^c + 6*(2*d^3*e*f^2 + d^2*f^3)*a^2*b*x^2*e^c + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a^2*b*x*e^c + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a^2*b*e^c)*e^(-2*d*x) + 4*(9*a^3*d^3*f^3*x^3 + 9*(3*d^3*e*f^2 + d^2*f^3)*a^3*x^2 + 3*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*a^3*x + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*a^3)*e^(-3*d*x))*e^(-3*c)/(a^4*d^4) + integrate(-2*((a^3*b*f^3 + a*b^3*f^3)*x^3 + 3*(a^3*b*e*f^2 + a*b^3*e*f^2)*x^2 + 3*(a^3*b*e^2*f + a*b^3*e^2*f)*x - ((a^2*b^2*f^3*e^c + b^4*f^3*e^c)*x^3 + 3*(a^2*b^2*e*f^2*e^c + b^4*e*f^2*e^c)*x^2 + 3*(a^2*b^2*e^2*f*e^c + b^4*e^2*f*e^c)*x)*e^(d*x))/(a^5*e^(2*d*x + 2*c) + 2*a^4*b*e^(d*x + c) - a^5), x)","F",0
27,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{2} {\left(\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - a^{2} - 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{a^{3} d} + \frac{24 \, {\left(a^{2} b + b^{3}\right)} {\left(d x + c\right)}}{a^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + a^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-d x - c\right)}}{a^{3} d} + \frac{24 \, {\left(a^{2} b + b^{3}\right)} \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{4} d}\right)} - \frac{{\left(144 \, {\left(a^{2} b d^{3} f^{2} e^{\left(3 \, c\right)} + b^{3} d^{3} f^{2} e^{\left(3 \, c\right)}\right)} x^{3} + 432 \, {\left(a^{2} b d^{3} e f e^{\left(3 \, c\right)} + b^{3} d^{3} e f e^{\left(3 \, c\right)}\right)} x^{2} - 2 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} e^{\left(6 \, c\right)} + 6 \, {\left(3 \, d^{2} e f - d f^{2}\right)} a^{3} x e^{\left(6 \, c\right)} - 2 \, {\left(3 \, d e f - f^{2}\right)} a^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} e^{\left(5 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a^{2} b x e^{\left(5 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} a^{2} b e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 54 \, {\left(6 \, {\left(d e f - f^{2}\right)} a^{3} e^{\left(4 \, c\right)} + 8 \, {\left(d e f - f^{2}\right)} a b^{2} e^{\left(4 \, c\right)} - {\left(3 \, a^{3} d^{2} f^{2} e^{\left(4 \, c\right)} + 4 \, a b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} - 2 \, {\left(3 \, {\left(d^{2} e f - d f^{2}\right)} a^{3} e^{\left(4 \, c\right)} + 4 \, {\left(d^{2} e f - d f^{2}\right)} a b^{2} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 54 \, {\left(6 \, {\left(d e f + f^{2}\right)} a^{3} e^{\left(2 \, c\right)} + 8 \, {\left(d e f + f^{2}\right)} a b^{2} e^{\left(2 \, c\right)} + {\left(3 \, a^{3} d^{2} f^{2} e^{\left(2 \, c\right)} + 4 \, a b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(3 \, {\left(d^{2} e f + d f^{2}\right)} a^{3} e^{\left(2 \, c\right)} + 4 \, {\left(d^{2} e f + d f^{2}\right)} a b^{2} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 27 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a^{2} b x e^{c} + {\left(2 \, d e f + f^{2}\right)} a^{2} b e^{c}\right)} e^{\left(-2 \, d x\right)} + 2 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 6 \, {\left(3 \, d^{2} e f + d f^{2}\right)} a^{3} x + 2 \, {\left(3 \, d e f + f^{2}\right)} a^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{432 \, a^{4} d^{3}} + \int -\frac{2 \, {\left({\left(a^{3} b f^{2} + a b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{3} b e f + a b^{3} e f\right)} x - {\left({\left(a^{2} b^{2} f^{2} e^{c} + b^{4} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} b^{2} e f e^{c} + b^{4} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} b e^{\left(d x + c\right)} - a^{5}}\,{d x}"," ",0,"-1/24*e^2*((3*a*b*e^(-d*x - c) - a^2 - 3*(3*a^2 + 4*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(a^3*d) + 24*(a^2*b + b^3)*(d*x + c)/(a^4*d) + (3*a*b*e^(-2*d*x - 2*c) + a^2*e^(-3*d*x - 3*c) + 3*(3*a^2 + 4*b^2)*e^(-d*x - c))/(a^3*d) + 24*(a^2*b + b^3)*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^4*d)) - 1/432*(144*(a^2*b*d^3*f^2*e^(3*c) + b^3*d^3*f^2*e^(3*c))*x^3 + 432*(a^2*b*d^3*e*f*e^(3*c) + b^3*d^3*e*f*e^(3*c))*x^2 - 2*(9*a^3*d^2*f^2*x^2*e^(6*c) + 6*(3*d^2*e*f - d*f^2)*a^3*x*e^(6*c) - 2*(3*d*e*f - f^2)*a^3*e^(6*c))*e^(3*d*x) + 27*(2*a^2*b*d^2*f^2*x^2*e^(5*c) + 2*(2*d^2*e*f - d*f^2)*a^2*b*x*e^(5*c) - (2*d*e*f - f^2)*a^2*b*e^(5*c))*e^(2*d*x) + 54*(6*(d*e*f - f^2)*a^3*e^(4*c) + 8*(d*e*f - f^2)*a*b^2*e^(4*c) - (3*a^3*d^2*f^2*e^(4*c) + 4*a*b^2*d^2*f^2*e^(4*c))*x^2 - 2*(3*(d^2*e*f - d*f^2)*a^3*e^(4*c) + 4*(d^2*e*f - d*f^2)*a*b^2*e^(4*c))*x)*e^(d*x) + 54*(6*(d*e*f + f^2)*a^3*e^(2*c) + 8*(d*e*f + f^2)*a*b^2*e^(2*c) + (3*a^3*d^2*f^2*e^(2*c) + 4*a*b^2*d^2*f^2*e^(2*c))*x^2 + 2*(3*(d^2*e*f + d*f^2)*a^3*e^(2*c) + 4*(d^2*e*f + d*f^2)*a*b^2*e^(2*c))*x)*e^(-d*x) + 27*(2*a^2*b*d^2*f^2*x^2*e^c + 2*(2*d^2*e*f + d*f^2)*a^2*b*x*e^c + (2*d*e*f + f^2)*a^2*b*e^c)*e^(-2*d*x) + 2*(9*a^3*d^2*f^2*x^2 + 6*(3*d^2*e*f + d*f^2)*a^3*x + 2*(3*d*e*f + f^2)*a^3)*e^(-3*d*x))*e^(-3*c)/(a^4*d^3) + integrate(-2*((a^3*b*f^2 + a*b^3*f^2)*x^2 + 2*(a^3*b*e*f + a*b^3*e*f)*x - ((a^2*b^2*f^2*e^c + b^4*f^2*e^c)*x^2 + 2*(a^2*b^2*e*f*e^c + b^4*e*f*e^c)*x)*e^(d*x))/(a^5*e^(2*d*x + 2*c) + 2*a^4*b*e^(d*x + c) - a^5), x)","F",0
28,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e {\left(\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - a^{2} - 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{a^{3} d} + \frac{24 \, {\left(a^{2} b + b^{3}\right)} {\left(d x + c\right)}}{a^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + a^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-d x - c\right)}}{a^{3} d} + \frac{24 \, {\left(a^{2} b + b^{3}\right)} \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{4} d}\right)} - \frac{1}{144} \, f {\left(\frac{{\left(72 \, {\left(a^{2} b d^{2} e^{\left(3 \, c\right)} + b^{3} d^{2} e^{\left(3 \, c\right)}\right)} x^{2} - 2 \, {\left(3 \, a^{3} d x e^{\left(6 \, c\right)} - a^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 9 \, {\left(2 \, a^{2} b d x e^{\left(5 \, c\right)} - a^{2} b e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 18 \, {\left(3 \, a^{3} e^{\left(4 \, c\right)} + 4 \, a b^{2} e^{\left(4 \, c\right)} - {\left(3 \, a^{3} d e^{\left(4 \, c\right)} + 4 \, a b^{2} d e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 18 \, {\left(3 \, a^{3} e^{\left(2 \, c\right)} + 4 \, a b^{2} e^{\left(2 \, c\right)} + {\left(3 \, a^{3} d e^{\left(2 \, c\right)} + 4 \, a b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 9 \, {\left(2 \, a^{2} b d x e^{c} + a^{2} b e^{c}\right)} e^{\left(-2 \, d x\right)} + 2 \, {\left(3 \, a^{3} d x + a^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{a^{4} d^{2}} - 18 \, \int \frac{16 \, {\left({\left(a^{2} b^{2} e^{c} + b^{4} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{3} b + a b^{3}\right)} x\right)}}{a^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} b e^{\left(d x + c\right)} - a^{5}}\,{d x}\right)}"," ",0,"-1/24*e*((3*a*b*e^(-d*x - c) - a^2 - 3*(3*a^2 + 4*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(a^3*d) + 24*(a^2*b + b^3)*(d*x + c)/(a^4*d) + (3*a*b*e^(-2*d*x - 2*c) + a^2*e^(-3*d*x - 3*c) + 3*(3*a^2 + 4*b^2)*e^(-d*x - c))/(a^3*d) + 24*(a^2*b + b^3)*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^4*d)) - 1/144*f*((72*(a^2*b*d^2*e^(3*c) + b^3*d^2*e^(3*c))*x^2 - 2*(3*a^3*d*x*e^(6*c) - a^3*e^(6*c))*e^(3*d*x) + 9*(2*a^2*b*d*x*e^(5*c) - a^2*b*e^(5*c))*e^(2*d*x) + 18*(3*a^3*e^(4*c) + 4*a*b^2*e^(4*c) - (3*a^3*d*e^(4*c) + 4*a*b^2*d*e^(4*c))*x)*e^(d*x) + 18*(3*a^3*e^(2*c) + 4*a*b^2*e^(2*c) + (3*a^3*d*e^(2*c) + 4*a*b^2*d*e^(2*c))*x)*e^(-d*x) + 9*(2*a^2*b*d*x*e^c + a^2*b*e^c)*e^(-2*d*x) + 2*(3*a^3*d*x + a^3)*e^(-3*d*x))*e^(-3*c)/(a^4*d^2) - 18*integrate(16*((a^2*b^2*e^c + b^4*e^c)*x*e^(d*x) - (a^3*b + a*b^3)*x)/(a^5*e^(2*d*x + 2*c) + 2*a^4*b*e^(d*x + c) - a^5), x))","F",0
29,1,183,0,0.322945," ","integrate(cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - a^{2} - 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{24 \, a^{3} d} - \frac{{\left(a^{2} b + b^{3}\right)} {\left(d x + c\right)}}{a^{4} d} - \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + a^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(3 \, a^{2} + 4 \, b^{2}\right)} e^{\left(-d x - c\right)}}{24 \, a^{3} d} - \frac{{\left(a^{2} b + b^{3}\right)} \log\left(-2 \, b e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)}{a^{4} d}"," ",0,"-1/24*(3*a*b*e^(-d*x - c) - a^2 - 3*(3*a^2 + 4*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(a^3*d) - (a^2*b + b^3)*(d*x + c)/(a^4*d) - 1/24*(3*a*b*e^(-2*d*x - 2*c) + a^2*e^(-3*d*x - 3*c) + 3*(3*a^2 + 4*b^2)*e^(-d*x - c))/(a^3*d) - (a^2*b + b^3)*log(-2*b*e^(-d*x - c) + a*e^(-2*d*x - 2*c) - a)/(a^4*d)","B",0
