1,1,286,0,0.501954," ","integrate((d*x+c)^3*tanh(f*x+e),x, algorithm=""maxima"")","\frac{1}{4} \, d^{3} x^{4} + c d^{2} x^{3} + \frac{3}{2} \, c^{2} d x^{2} + \frac{c^{3} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{2 \, f} + \frac{c^{3} \log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{2 \, f} + \frac{3 \, {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} c^{2} d}{2 \, f^{2}} + \frac{3 \, {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} c d^{2}}{2 \, f^{3}} + \frac{{\left(4 \, f^{3} x^{3} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - 6 \, f x {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)}) + 3 \, {\rm Li}_{4}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} d^{3}}{3 \, f^{4}} - \frac{d^{3} f^{4} x^{4} + 4 \, c d^{2} f^{4} x^{3} + 6 \, c^{2} d f^{4} x^{2}}{2 \, f^{4}}"," ",0,"1/4*d^3*x^4 + c*d^2*x^3 + 3/2*c^2*d*x^2 + 1/2*c^3*log(e^(2*f*x + 2*e) + 1)/f + 1/2*c^3*log(e^(-2*f*x - 2*e) + 1)/f + 3/2*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*c^2*d/f^2 + 3/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*c*d^2/f^3 + 1/3*(4*f^3*x^3*log(e^(2*f*x + 2*e) + 1) + 6*f^2*x^2*dilog(-e^(2*f*x + 2*e)) - 6*f*x*polylog(3, -e^(2*f*x + 2*e)) + 3*polylog(4, -e^(2*f*x + 2*e)))*d^3/f^4 - 1/2*(d^3*f^4*x^4 + 4*c*d^2*f^4*x^3 + 6*c^2*d*f^4*x^2)/f^4","B",0
2,1,176,0,0.476811," ","integrate((d*x+c)^2*tanh(f*x+e),x, algorithm=""maxima"")","\frac{1}{3} \, d^{2} x^{3} + c d x^{2} + \frac{c^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{2 \, f} + \frac{c^{2} \log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{2 \, f} + \frac{{\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} c d}{f^{2}} + \frac{{\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} d^{2}}{2 \, f^{3}} - \frac{2 \, {\left(d^{2} f^{3} x^{3} + 3 \, c d f^{3} x^{2}\right)}}{3 \, f^{3}}"," ",0,"1/3*d^2*x^3 + c*d*x^2 + 1/2*c^2*log(e^(2*f*x + 2*e) + 1)/f + 1/2*c^2*log(e^(-2*f*x - 2*e) + 1)/f + (2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*c*d/f^2 + 1/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*d^2/f^3 - 2/3*(d^2*f^3*x^3 + 3*c*d*f^3*x^2)/f^3","B",0
3,1,78,0,0.483038," ","integrate((d*x+c)*tanh(f*x+e),x, algorithm=""maxima"")","-\frac{1}{2} \, d x^{2} + \frac{c \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{2 \, f} + \frac{c \log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{2 \, f} + \frac{{\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} d}{2 \, f^{2}}"," ",0,"-1/2*d*x^2 + 1/2*c*log(e^(2*f*x + 2*e) + 1)/f + 1/2*c*log(e^(-2*f*x - 2*e) + 1)/f + 1/2*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*d/f^2","A",0
4,0,0,0,0.000000," ","integrate(tanh(f*x+e)/(d*x+c),x, algorithm=""maxima"")","\frac{\log\left(d x + c\right)}{d} - 2 \, \int \frac{1}{d x + {\left(d x e^{\left(2 \, e\right)} + c e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + c}\,{d x}"," ",0,"log(d*x + c)/d - 2*integrate(1/(d*x + (d*x*e^(2*e) + c*e^(2*e))*e^(2*f*x) + c), x)","F",0
5,0,0,0,0.000000," ","integrate(tanh(f*x+e)/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{1}{d^{2} x + c d} - 2 \, \int \frac{1}{d^{2} x^{2} + 2 \, c d x + c^{2} + {\left(d^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, c d x e^{\left(2 \, e\right)} + c^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"-1/(d^2*x + c*d) - 2*integrate(1/(d^2*x^2 + 2*c*d*x + c^2 + (d^2*x^2*e^(2*e) + 2*c*d*x*e^(2*e) + c^2*e^(2*e))*e^(2*f*x)), x)","F",0
6,1,343,0,0.644684," ","integrate((d*x+c)^3*tanh(f*x+e)^2,x, algorithm=""maxima"")","c^{3} {\left(x + \frac{e}{f} - \frac{2}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}}\right)} - \frac{3}{2} \, c^{2} d {\left(\frac{2 \, x e^{\left(2 \, f x + 2 \, e\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - \frac{f x^{2} + {\left(f x^{2} e^{\left(2 \, e\right)} - 2 \, x e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - \frac{2 \, \log\left({\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-2 \, e\right)}\right)}{f^{2}}\right)} + \frac{3 \, {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} c d^{2}}{f^{3}} + \frac{d^{3} f x^{4} + 24 \, c d^{2} x^{2} + 4 \, {\left(c d^{2} f + 2 \, d^{3}\right)} x^{3} + {\left(d^{3} f x^{4} e^{\left(2 \, e\right)} + 4 \, c d^{2} f x^{3} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{4 \, {\left(f e^{\left(2 \, f x + 2 \, e\right)} + f\right)}} + \frac{3 \, {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} d^{3}}{2 \, f^{4}} - \frac{2 \, {\left(d^{3} f^{3} x^{3} + 3 \, c d^{2} f^{3} x^{2}\right)}}{f^{4}}"," ",0,"c^3*(x + e/f - 2/(f*(e^(-2*f*x - 2*e) + 1))) - 3/2*c^2*d*(2*x*e^(2*f*x + 2*e)/(f*e^(2*f*x + 2*e) + f) - (f*x^2 + (f*x^2*e^(2*e) - 2*x*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) - 2*log((e^(2*f*x + 2*e) + 1)*e^(-2*e))/f^2) + 3*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*c*d^2/f^3 + 1/4*(d^3*f*x^4 + 24*c*d^2*x^2 + 4*(c*d^2*f + 2*d^3)*x^3 + (d^3*f*x^4*e^(2*e) + 4*c*d^2*f*x^3*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) + 3/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*d^3/f^4 - 2*(d^3*f^3*x^3 + 3*c*d^2*f^3*x^2)/f^4","B",0
7,0,0,0,0.000000," ","integrate((d*x+c)^2*tanh(f*x+e)^2,x, algorithm=""maxima"")","c^{2} {\left(x + \frac{e}{f} - \frac{2}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}}\right)} - c d {\left(\frac{2 \, x e^{\left(2 \, f x + 2 \, e\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - \frac{f x^{2} + {\left(f x^{2} e^{\left(2 \, e\right)} - 2 \, x e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - \frac{2 \, \log\left({\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-2 \, e\right)}\right)}{f^{2}}\right)} + \frac{1}{3} \, d^{2} {\left(\frac{f x^{3} e^{\left(2 \, f x + 2 \, e\right)} + f x^{3} + 6 \, x^{2}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - 12 \, \int \frac{x}{f e^{\left(2 \, f x + 2 \, e\right)} + f}\,{d x}\right)}"," ",0,"c^2*(x + e/f - 2/(f*(e^(-2*f*x - 2*e) + 1))) - c*d*(2*x*e^(2*f*x + 2*e)/(f*e^(2*f*x + 2*e) + f) - (f*x^2 + (f*x^2*e^(2*e) - 2*x*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) - 2*log((e^(2*f*x + 2*e) + 1)*e^(-2*e))/f^2) + 1/3*d^2*((f*x^3*e^(2*f*x + 2*e) + f*x^3 + 6*x^2)/(f*e^(2*f*x + 2*e) + f) - 12*integrate(x/(f*e^(2*f*x + 2*e) + f), x))","F",0
8,1,127,0,0.386278," ","integrate((d*x+c)*tanh(f*x+e)^2,x, algorithm=""maxima"")","c {\left(x + \frac{e}{f} - \frac{2}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}}\right)} - \frac{1}{2} \, d {\left(\frac{2 \, x e^{\left(2 \, f x + 2 \, e\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - \frac{f x^{2} + {\left(f x^{2} e^{\left(2 \, e\right)} - 2 \, x e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} - \frac{2 \, \log\left({\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-2 \, e\right)}\right)}{f^{2}}\right)}"," ",0,"c*(x + e/f - 2/(f*(e^(-2*f*x - 2*e) + 1))) - 1/2*d*(2*x*e^(2*f*x + 2*e)/(f*e^(2*f*x + 2*e) + f) - (f*x^2 + (f*x^2*e^(2*e) - 2*x*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) - 2*log((e^(2*f*x + 2*e) + 1)*e^(-2*e))/f^2)","B",0
9,0,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(d*x+c),x, algorithm=""maxima"")","2 \, d \int \frac{1}{d^{2} f x^{2} + 2 \, c d f x + c^{2} f + {\left(d^{2} f x^{2} e^{\left(2 \, e\right)} + 2 \, c d f x e^{\left(2 \, e\right)} + c^{2} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x} + \frac{\log\left(d x + c\right)}{d} + \frac{2}{d f x + c f + {\left(d f x e^{\left(2 \, e\right)} + c f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}"," ",0,"2*d*integrate(1/(d^2*f*x^2 + 2*c*d*f*x + c^2*f + (d^2*f*x^2*e^(2*e) + 2*c*d*f*x*e^(2*e) + c^2*f*e^(2*e))*e^(2*f*x)), x) + log(d*x + c)/d + 2/(d*f*x + c*f + (d*f*x*e^(2*e) + c*f*e^(2*e))*e^(2*f*x))","F",0
10,0,0,0,0.000000," ","integrate(tanh(f*x+e)^2/(d*x+c)^2,x, algorithm=""maxima"")","4 \, d \int \frac{1}{d^{3} f x^{3} + 3 \, c d^{2} f x^{2} + 3 \, c^{2} d f x + c^{3} f + {\left(d^{3} f x^{3} e^{\left(2 \, e\right)} + 3 \, c d^{2} f x^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d f x e^{\left(2 \, e\right)} + c^{3} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x} - \frac{d f x + c f + {\left(d f x e^{\left(2 \, e\right)} + c f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 2 \, d}{d^{3} f x^{2} + 2 \, c d^{2} f x + c^{2} d f + {\left(d^{3} f x^{2} e^{\left(2 \, e\right)} + 2 \, c d^{2} f x e^{\left(2 \, e\right)} + c^{2} d f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}"," ",0,"4*d*integrate(1/(d^3*f*x^3 + 3*c*d^2*f*x^2 + 3*c^2*d*f*x + c^3*f + (d^3*f*x^3*e^(2*e) + 3*c*d^2*f*x^2*e^(2*e) + 3*c^2*d*f*x*e^(2*e) + c^3*f*e^(2*e))*e^(2*f*x)), x) - (d*f*x + c*f + (d*f*x*e^(2*e) + c*f*e^(2*e))*e^(2*f*x) - 2*d)/(d^3*f*x^2 + 2*c*d^2*f*x + c^2*d*f + (d^3*f*x^2*e^(2*e) + 2*c*d^2*f*x*e^(2*e) + c^2*d*f*e^(2*e))*e^(2*f*x))","F",0
11,1,595,0,0.569787," ","integrate((d*x+c)^3*tanh(f*x+e)^3,x, algorithm=""maxima"")","c^{3} {\left(x + \frac{e}{f} + \frac{\log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{f} + \frac{2 \, e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}\right)} - \frac{6 \, c d^{2} x}{f^{2}} + \frac{3 \, {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} c d^{2}}{2 \, f^{3}} + \frac{3 \, c d^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{f^{3}} + \frac{d^{3} f^{2} x^{4} + 4 \, c d^{2} f^{2} x^{3} + 24 \, c d^{2} x + 12 \, c^{2} d + 6 \, {\left(c^{2} d f^{2} + 2 \, d^{3}\right)} x^{2} + {\left(d^{3} f^{2} x^{4} e^{\left(4 \, e\right)} + 4 \, c d^{2} f^{2} x^{3} e^{\left(4 \, e\right)} + 6 \, c^{2} d f^{2} x^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{3} f^{2} x^{4} e^{\left(2 \, e\right)} + 4 \, {\left(c d^{2} f^{2} e^{\left(2 \, e\right)} + d^{3} f e^{\left(2 \, e\right)}\right)} x^{3} + 6 \, c^{2} d e^{\left(2 \, e\right)} + 6 \, {\left(c^{2} d f^{2} e^{\left(2 \, e\right)} + 2 \, c d^{2} f e^{\left(2 \, e\right)} + d^{3} e^{\left(2 \, e\right)}\right)} x^{2} + 12 \, {\left(c^{2} d f e^{\left(2 \, e\right)} + c d^{2} e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}{4 \, {\left(f^{2} e^{\left(4 \, f x + 4 \, e\right)} + 2 \, f^{2} e^{\left(2 \, f x + 2 \, e\right)} + f^{2}\right)}} + \frac{{\left(4 \, f^{3} x^{3} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - 6 \, f x {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)}) + 3 \, {\rm Li}_{4}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} d^{3}}{3 \, f^{4}} + \frac{3 \, {\left(c^{2} d f^{2} + d^{3}\right)} {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)}}{2 \, f^{4}} - \frac{d^{3} f^{4} x^{4} + 4 \, c d^{2} f^{4} x^{3} + 6 \, {\left(c^{2} d f^{2} + d^{3}\right)} f^{2} x^{2}}{2 \, f^{4}}"," ",0,"c^3*(x + e/f + log(e^(-2*f*x - 2*e) + 1)/f + 2*e^(-2*f*x - 2*e)/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))) - 6*c*d^2*x/f^2 + 3/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*c*d^2/f^3 + 3*c*d^2*log(e^(2*f*x + 2*e) + 1)/f^3 + 1/4*(d^3*f^2*x^4 + 4*c*d^2*f^2*x^3 + 24*c*d^2*x + 12*c^2*d + 6*(c^2*d*f^2 + 2*d^3)*x^2 + (d^3*f^2*x^4*e^(4*e) + 4*c*d^2*f^2*x^3*e^(4*e) + 6*c^2*d*f^2*x^2*e^(4*e))*e^(4*f*x) + 2*(d^3*f^2*x^4*e^(2*e) + 4*(c*d^2*f^2*e^(2*e) + d^3*f*e^(2*e))*x^3 + 6*c^2*d*e^(2*e) + 6*(c^2*d*f^2*e^(2*e) + 2*c*d^2*f*e^(2*e) + d^3*e^(2*e))*x^2 + 12*(c^2*d*f*e^(2*e) + c*d^2*e^(2*e))*x)*e^(2*f*x))/(f^2*e^(4*f*x + 4*e) + 2*f^2*e^(2*f*x + 2*e) + f^2) + 1/3*(4*f^3*x^3*log(e^(2*f*x + 2*e) + 1) + 6*f^2*x^2*dilog(-e^(2*f*x + 2*e)) - 6*f*x*polylog(3, -e^(2*f*x + 2*e)) + 3*polylog(4, -e^(2*f*x + 2*e)))*d^3/f^4 + 3/2*(c^2*d*f^2 + d^3)*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))/f^4 - 1/2*(d^3*f^4*x^4 + 4*c*d^2*f^4*x^3 + 6*(c^2*d*f^2 + d^3)*f^2*x^2)/f^4","B",0
12,1,392,0,0.557116," ","integrate((d*x+c)^2*tanh(f*x+e)^3,x, algorithm=""maxima"")","c^{2} {\left(x + \frac{e}{f} + \frac{\log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{f} + \frac{2 \, e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}\right)} + \frac{{\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} c d}{f^{2}} - \frac{2 \, d^{2} x}{f^{2}} + \frac{d^{2} f^{2} x^{3} + 3 \, c d f^{2} x^{2} + 6 \, d^{2} x + 6 \, c d + {\left(d^{2} f^{2} x^{3} e^{\left(4 \, e\right)} + 3 \, c d f^{2} x^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{2} f^{2} x^{3} e^{\left(2 \, e\right)} + 3 \, {\left(c d f^{2} e^{\left(2 \, e\right)} + d^{2} f e^{\left(2 \, e\right)}\right)} x^{2} + 3 \, c d e^{\left(2 \, e\right)} + 3 \, {\left(2 \, c d f e^{\left(2 \, e\right)} + d^{2} e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}{3 \, {\left(f^{2} e^{\left(4 \, f x + 4 \, e\right)} + 2 \, f^{2} e^{\left(2 \, f x + 2 \, e\right)} + f^{2}\right)}} + \frac{{\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} d^{2}}{2 \, f^{3}} + \frac{d^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{f^{3}} - \frac{2 \, {\left(d^{2} f^{3} x^{3} + 3 \, c d f^{3} x^{2}\right)}}{3 \, f^{3}}"," ",0,"c^2*(x + e/f + log(e^(-2*f*x - 2*e) + 1)/f + 2*e^(-2*f*x - 2*e)/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))) + (2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*c*d/f^2 - 2*d^2*x/f^2 + 1/3*(d^2*f^2*x^3 + 3*c*d*f^2*x^2 + 6*d^2*x + 6*c*d + (d^2*f^2*x^3*e^(4*e) + 3*c*d*f^2*x^2*e^(4*e))*e^(4*f*x) + 2*(d^2*f^2*x^3*e^(2*e) + 3*(c*d*f^2*e^(2*e) + d^2*f*e^(2*e))*x^2 + 3*c*d*e^(2*e) + 3*(2*c*d*f*e^(2*e) + d^2*e^(2*e))*x)*e^(2*f*x))/(f^2*e^(4*f*x + 4*e) + 2*f^2*e^(2*f*x + 2*e) + f^2) + 1/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*d^2/f^3 + d^2*log(e^(2*f*x + 2*e) + 1)/f^3 - 2/3*(d^2*f^3*x^3 + 3*c*d*f^3*x^2)/f^3","B",0
13,0,0,0,0.000000," ","integrate((d*x+c)*tanh(f*x+e)^3,x, algorithm=""maxima"")","c {\left(x + \frac{e}{f} + \frac{\log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{f} + \frac{2 \, e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}\right)} + \frac{1}{2} \, d {\left(\frac{f^{2} x^{2} e^{\left(4 \, f x + 4 \, e\right)} + f^{2} x^{2} + 2 \, {\left(f^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + 2}{f^{2} e^{\left(4 \, f x + 4 \, e\right)} + 2 \, f^{2} e^{\left(2 \, f x + 2 \, e\right)} + f^{2}} - 4 \, \int \frac{x}{e^{\left(2 \, f x + 2 \, e\right)} + 1}\,{d x}\right)}"," ",0,"c*(x + e/f + log(e^(-2*f*x - 2*e) + 1)/f + 2*e^(-2*f*x - 2*e)/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))) + 1/2*d*((f^2*x^2*e^(4*f*x + 4*e) + f^2*x^2 + 2*(f^2*x^2*e^(2*e) + 2*f*x*e^(2*e) + e^(2*e))*e^(2*f*x) + 2)/(f^2*e^(4*f*x + 4*e) + 2*f^2*e^(2*f*x + 2*e) + f^2) - 4*integrate(x/(e^(2*f*x + 2*e) + 1), x))","F",0
14,0,0,0,0.000000," ","integrate(tanh(f*x+e)^3/(d*x+c),x, algorithm=""maxima"")","\frac{{\left(2 \, d f x e^{\left(2 \, e\right)} + 2 \, c f e^{\left(2 \, e\right)} - d e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - d}{d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} + {\left(d^{2} f^{2} x^{2} e^{\left(4 \, e\right)} + 2 \, c d f^{2} x e^{\left(4 \, e\right)} + c^{2} f^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, c d f^{2} x e^{\left(2 \, e\right)} + c^{2} f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}} + \frac{\log\left(d x + c\right)}{d} - \int \frac{2 \, {\left(d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} + d^{2}\right)}}{d^{3} f^{2} x^{3} + 3 \, c d^{2} f^{2} x^{2} + 3 \, c^{2} d f^{2} x + c^{3} f^{2} + {\left(d^{3} f^{2} x^{3} e^{\left(2 \, e\right)} + 3 \, c d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d f^{2} x e^{\left(2 \, e\right)} + c^{3} f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"((2*d*f*x*e^(2*e) + 2*c*f*e^(2*e) - d*e^(2*e))*e^(2*f*x) - d)/(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 + (d^2*f^2*x^2*e^(4*e) + 2*c*d*f^2*x*e^(4*e) + c^2*f^2*e^(4*e))*e^(4*f*x) + 2*(d^2*f^2*x^2*e^(2*e) + 2*c*d*f^2*x*e^(2*e) + c^2*f^2*e^(2*e))*e^(2*f*x)) + log(d*x + c)/d - integrate(2*(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 + d^2)/(d^3*f^2*x^3 + 3*c*d^2*f^2*x^2 + 3*c^2*d*f^2*x + c^3*f^2 + (d^3*f^2*x^3*e^(2*e) + 3*c*d^2*f^2*x^2*e^(2*e) + 3*c^2*d*f^2*x*e^(2*e) + c^3*f^2*e^(2*e))*e^(2*f*x)), x)","F",0
15,0,0,0,0.000000," ","integrate(tanh(f*x+e)^3/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} + 2 \, d^{2} + {\left(d^{2} f^{2} x^{2} e^{\left(4 \, e\right)} + 2 \, c d f^{2} x e^{\left(4 \, e\right)} + c^{2} f^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + c^{2} f^{2} e^{\left(2 \, e\right)} - c d f e^{\left(2 \, e\right)} + d^{2} e^{\left(2 \, e\right)} + {\left(2 \, c d f^{2} e^{\left(2 \, e\right)} - d^{2} f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}{d^{4} f^{2} x^{3} + 3 \, c d^{3} f^{2} x^{2} + 3 \, c^{2} d^{2} f^{2} x + c^{3} d f^{2} + {\left(d^{4} f^{2} x^{3} e^{\left(4 \, e\right)} + 3 \, c d^{3} f^{2} x^{2} e^{\left(4 \, e\right)} + 3 \, c^{2} d^{2} f^{2} x e^{\left(4 \, e\right)} + c^{3} d f^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{4} f^{2} x^{3} e^{\left(2 \, e\right)} + 3 \, c d^{3} f^{2} x^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d^{2} f^{2} x e^{\left(2 \, e\right)} + c^{3} d f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}} - \int \frac{2 \, {\left(d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} + 3 \, d^{2}\right)}}{d^{4} f^{2} x^{4} + 4 \, c d^{3} f^{2} x^{3} + 6 \, c^{2} d^{2} f^{2} x^{2} + 4 \, c^{3} d f^{2} x + c^{4} f^{2} + {\left(d^{4} f^{2} x^{4} e^{\left(2 \, e\right)} + 4 \, c d^{3} f^{2} x^{3} e^{\left(2 \, e\right)} + 6 \, c^{2} d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + 4 \, c^{3} d f^{2} x e^{\left(2 \, e\right)} + c^{4} f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"-(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 + 2*d^2 + (d^2*f^2*x^2*e^(4*e) + 2*c*d*f^2*x*e^(4*e) + c^2*f^2*e^(4*e))*e^(4*f*x) + 2*(d^2*f^2*x^2*e^(2*e) + c^2*f^2*e^(2*e) - c*d*f*e^(2*e) + d^2*e^(2*e) + (2*c*d*f^2*e^(2*e) - d^2*f*e^(2*e))*x)*e^(2*f*x))/(d^4*f^2*x^3 + 3*c*d^3*f^2*x^2 + 3*c^2*d^2*f^2*x + c^3*d*f^2 + (d^4*f^2*x^3*e^(4*e) + 3*c*d^3*f^2*x^2*e^(4*e) + 3*c^2*d^2*f^2*x*e^(4*e) + c^3*d*f^2*e^(4*e))*e^(4*f*x) + 2*(d^4*f^2*x^3*e^(2*e) + 3*c*d^3*f^2*x^2*e^(2*e) + 3*c^2*d^2*f^2*x*e^(2*e) + c^3*d*f^2*e^(2*e))*e^(2*f*x)) - integrate(2*(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 + 3*d^2)/(d^4*f^2*x^4 + 4*c*d^3*f^2*x^3 + 6*c^2*d^2*f^2*x^2 + 4*c^3*d*f^2*x + c^4*f^2 + (d^4*f^2*x^4*e^(2*e) + 4*c*d^3*f^2*x^3*e^(2*e) + 6*c^2*d^2*f^2*x^2*e^(2*e) + 4*c^3*d*f^2*x*e^(2*e) + c^4*f^2*e^(2*e))*e^(2*f*x)), x)","F",0
16,0,0,0,0.000000," ","integrate((d*x+c)*(b*tanh(f*x+e))^(5/2),x, algorithm=""maxima"")","\int {\left(d x + c\right)} \left(b \tanh\left(f x + e\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*x + c)*(b*tanh(f*x + e))^(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((d*x+c)*(b*tanh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int {\left(d x + c\right)} \left(b \tanh\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*x + c)*(b*tanh(f*x + e))^(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((d*x+c)*(b*tanh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int {\left(d x + c\right)} \sqrt{b \tanh\left(f x + e\right)}\,{d x}"," ",0,"integrate((d*x + c)*sqrt(b*tanh(f*x + e)), x)","F",0
19,0,0,0,0.000000," ","integrate((d*x+c)/(b*tanh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{d x + c}{\sqrt{b \tanh\left(f x + e\right)}}\,{d x}"," ",0,"integrate((d*x + c)/sqrt(b*tanh(f*x + e)), x)","F",0
20,0,0,0,0.000000," ","integrate((d*x+c)/(b*tanh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{d x + c}{\left(b \tanh\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)/(b*tanh(f*x + e))^(3/2), x)","F",0
21,0,0,0,0.000000," ","integrate((d*x+c)^2*(b*tanh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{2} \left(b \tanh\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*tanh(f*x + e))^(3/2), x)","F",0
22,0,0,0,0.000000," ","integrate((d*x+c)^2*(b*tanh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{2} \sqrt{b \tanh\left(f x + e\right)}\,{d x}"," ",0,"integrate((d*x + c)^2*sqrt(b*tanh(f*x + e)), x)","F",0
23,0,0,0,0.000000," ","integrate((d*x+c)^2/(b*tanh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{2}}{\sqrt{b \tanh\left(f x + e\right)}}\,{d x}"," ",0,"integrate((d*x + c)^2/sqrt(b*tanh(f*x + e)), x)","F",0
24,0,0,0,0.000000," ","integrate((d*x+c)^2/(b*tanh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{2}}{\left(b \tanh\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*tanh(f*x + e))^(3/2), x)","F",0
25,0,0,0,0.000000," ","integrate((b*tanh(f*x+e))^(3/2)/(d*x+c),x, algorithm=""maxima"")","\int \frac{\left(b \tanh\left(f x + e\right)\right)^{\frac{3}{2}}}{d x + c}\,{d x}"," ",0,"integrate((b*tanh(f*x + e))^(3/2)/(d*x + c), x)","F",0
26,0,0,0,0.000000," ","integrate((b*tanh(f*x+e))^(1/2)/(d*x+c),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tanh\left(f x + e\right)}}{d x + c}\,{d x}"," ",0,"integrate(sqrt(b*tanh(f*x + e))/(d*x + c), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(d*x+c)/(b*tanh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)} \sqrt{b \tanh\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*sqrt(b*tanh(f*x + e))), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(d*x+c)/(b*tanh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)} \left(b \tanh\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*tanh(f*x + e))^(3/2)), x)","F",0
29,0,0,0,0.000000," ","integrate(x^m*tanh(b*x+a)^3,x, algorithm=""maxima"")","\frac{x e^{\left(6 \, b x + m \log\left(x\right) + 6 \, a\right)}}{{\left(m + 1\right)} e^{\left(6 \, b x + 6 \, a\right)} + 3 \, {\left(m + 1\right)} e^{\left(4 \, b x + 4 \, a\right)} + 3 \, {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1} - \int \frac{{\left(3 \, {\left(2 \, b x e^{\left(6 \, a\right)} + {\left(m + 1\right)} e^{\left(6 \, a\right)}\right)} e^{\left(6 \, b x\right)} - 2 \, {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1\right)} x^{m}}{{\left(m + 1\right)} e^{\left(8 \, b x + 8 \, a\right)} + 4 \, {\left(m + 1\right)} e^{\left(6 \, b x + 6 \, a\right)} + 6 \, {\left(m + 1\right)} e^{\left(4 \, b x + 4 \, a\right)} + 4 \, {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1}\,{d x}"," ",0,"x*e^(6*b*x + m*log(x) + 6*a)/((m + 1)*e^(6*b*x + 6*a) + 3*(m + 1)*e^(4*b*x + 4*a) + 3*(m + 1)*e^(2*b*x + 2*a) + m + 1) - integrate((3*(2*b*x*e^(6*a) + (m + 1)*e^(6*a))*e^(6*b*x) - 2*(m + 1)*e^(2*b*x + 2*a) + m + 1)*x^m/((m + 1)*e^(8*b*x + 8*a) + 4*(m + 1)*e^(6*b*x + 6*a) + 6*(m + 1)*e^(4*b*x + 4*a) + 4*(m + 1)*e^(2*b*x + 2*a) + m + 1), x)","F",0
30,0,0,0,0.000000," ","integrate(x^m*tanh(b*x+a)^2,x, algorithm=""maxima"")","\frac{x e^{\left(4 \, b x + m \log\left(x\right) + 4 \, a\right)}}{{\left(m + 1\right)} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1} - \int \frac{{\left(2 \, {\left(2 \, b x e^{\left(4 \, a\right)} + {\left(m + 1\right)} e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)} + {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} - m - 1\right)} x^{m}}{{\left(m + 1\right)} e^{\left(6 \, b x + 6 \, a\right)} + 3 \, {\left(m + 1\right)} e^{\left(4 \, b x + 4 \, a\right)} + 3 \, {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1}\,{d x}"," ",0,"x*e^(4*b*x + m*log(x) + 4*a)/((m + 1)*e^(4*b*x + 4*a) + 2*(m + 1)*e^(2*b*x + 2*a) + m + 1) - integrate((2*(2*b*x*e^(4*a) + (m + 1)*e^(4*a))*e^(4*b*x) + (m + 1)*e^(2*b*x + 2*a) - m - 1)*x^m/((m + 1)*e^(6*b*x + 6*a) + 3*(m + 1)*e^(4*b*x + 4*a) + 3*(m + 1)*e^(2*b*x + 2*a) + m + 1), x)","F",0
31,0,0,0,0.000000," ","integrate(x^m*tanh(b*x+a),x, algorithm=""maxima"")","\frac{x e^{\left(2 \, b x + m \log\left(x\right) + 2 \, a\right)}}{{\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1} - \int \frac{{\left({\left(2 \, b x e^{\left(2 \, a\right)} + {\left(m + 1\right)} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)} + m + 1\right)} x^{m}}{{\left(m + 1\right)} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, {\left(m + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + m + 1}\,{d x}"," ",0,"x*e^(2*b*x + m*log(x) + 2*a)/((m + 1)*e^(2*b*x + 2*a) + m + 1) - integrate(((2*b*x*e^(2*a) + (m + 1)*e^(2*a))*e^(2*b*x) + m + 1)*x^m/((m + 1)*e^(4*b*x + 4*a) + 2*(m + 1)*e^(2*b*x + 2*a) + m + 1), x)","F",0
32,1,186,0,0.480339," ","integrate((d*x+c)^3/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{4} \, c^{3} {\left(\frac{2 \, {\left(f x + e\right)}}{a f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{a f}\right)} + \frac{3 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - {\left(2 \, f x + 1\right)} e^{\left(-2 \, f x\right)}\right)} c^{2} d e^{\left(-2 \, e\right)}}{8 \, a f^{2}} + \frac{{\left(4 \, f^{3} x^{3} e^{\left(2 \, e\right)} - 3 \, {\left(2 \, f^{2} x^{2} + 2 \, f x + 1\right)} e^{\left(-2 \, f x\right)}\right)} c d^{2} e^{\left(-2 \, e\right)}}{8 \, a f^{3}} + \frac{{\left(2 \, f^{4} x^{4} e^{\left(2 \, e\right)} - {\left(4 \, f^{3} x^{3} + 6 \, f^{2} x^{2} + 6 \, f x + 3\right)} e^{\left(-2 \, f x\right)}\right)} d^{3} e^{\left(-2 \, e\right)}}{16 \, a f^{4}}"," ",0,"1/4*c^3*(2*(f*x + e)/(a*f) - e^(-2*f*x - 2*e)/(a*f)) + 3/8*(2*f^2*x^2*e^(2*e) - (2*f*x + 1)*e^(-2*f*x))*c^2*d*e^(-2*e)/(a*f^2) + 1/8*(4*f^3*x^3*e^(2*e) - 3*(2*f^2*x^2 + 2*f*x + 1)*e^(-2*f*x))*c*d^2*e^(-2*e)/(a*f^3) + 1/16*(2*f^4*x^4*e^(2*e) - (4*f^3*x^3 + 6*f^2*x^2 + 6*f*x + 3)*e^(-2*f*x))*d^3*e^(-2*e)/(a*f^4)","A",0
33,1,126,0,0.404920," ","integrate((d*x+c)^2/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{4} \, c^{2} {\left(\frac{2 \, {\left(f x + e\right)}}{a f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{a f}\right)} + \frac{{\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - {\left(2 \, f x + 1\right)} e^{\left(-2 \, f x\right)}\right)} c d e^{\left(-2 \, e\right)}}{4 \, a f^{2}} + \frac{{\left(4 \, f^{3} x^{3} e^{\left(2 \, e\right)} - 3 \, {\left(2 \, f^{2} x^{2} + 2 \, f x + 1\right)} e^{\left(-2 \, f x\right)}\right)} d^{2} e^{\left(-2 \, e\right)}}{24 \, a f^{3}}"," ",0,"1/4*c^2*(2*(f*x + e)/(a*f) - e^(-2*f*x - 2*e)/(a*f)) + 1/4*(2*f^2*x^2*e^(2*e) - (2*f*x + 1)*e^(-2*f*x))*c*d*e^(-2*e)/(a*f^2) + 1/24*(4*f^3*x^3*e^(2*e) - 3*(2*f^2*x^2 + 2*f*x + 1)*e^(-2*f*x))*d^2*e^(-2*e)/(a*f^3)","A",0
34,1,74,0,0.344069," ","integrate((d*x+c)/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{4} \, c {\left(\frac{2 \, {\left(f x + e\right)}}{a f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{a f}\right)} + \frac{{\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - {\left(2 \, f x + 1\right)} e^{\left(-2 \, f x\right)}\right)} d e^{\left(-2 \, e\right)}}{8 \, a f^{2}}"," ",0,"1/4*c*(2*(f*x + e)/(a*f) - e^(-2*f*x - 2*e)/(a*f)) + 1/8*(2*f^2*x^2*e^(2*e) - (2*f*x + 1)*e^(-2*f*x))*d*e^(-2*e)/(a*f^2)","A",0
35,1,48,0,0.528347," ","integrate(1/(d*x+c)/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","-\frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{1}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{2 \, a d} + \frac{\log\left(d x + c\right)}{2 \, a d}"," ",0,"-1/2*e^(-2*e + 2*c*f/d)*exp_integral_e(1, 2*(d*x + c)*f/d)/(a*d) + 1/2*log(d*x + c)/(a*d)","A",0
36,1,56,0,0.738811," ","integrate(1/(d*x+c)^2/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a d^{2} x + a c d\right)}} - \frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{2}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{2 \, {\left(d x + c\right)} a d}"," ",0,"-1/2/(a*d^2*x + a*c*d) - 1/2*e^(-2*e + 2*c*f/d)*exp_integral_e(2, 2*(d*x + c)*f/d)/((d*x + c)*a*d)","A",0
37,1,68,0,0.960121," ","integrate(1/(d*x+c)^3/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(a d^{3} x^{2} + 2 \, a c d^{2} x + a c^{2} d\right)}} - \frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{3}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{2 \, {\left(d x + c\right)}^{2} a d}"," ",0,"-1/4/(a*d^3*x^2 + 2*a*c*d^2*x + a*c^2*d) - 1/2*e^(-2*e + 2*c*f/d)*exp_integral_e(3, 2*(d*x + c)*f/d)/((d*x + c)^2*a*d)","A",0
38,1,296,0,0.788467," ","integrate((d*x+c)^3/(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{16} \, c^{3} {\left(\frac{4 \, {\left(f x + e\right)}}{a^{2} f} - \frac{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)}}{a^{2} f}\right)} + \frac{3 \, {\left(8 \, f^{2} x^{2} e^{\left(4 \, e\right)} - 8 \, {\left(2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - {\left(4 \, f x + 1\right)} e^{\left(-4 \, f x\right)}\right)} c^{2} d e^{\left(-4 \, e\right)}}{64 \, a^{2} f^{2}} + \frac{{\left(32 \, f^{3} x^{3} e^{\left(4 \, e\right)} - 48 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 3 \, {\left(8 \, f^{2} x^{2} + 4 \, f x + 1\right)} e^{\left(-4 \, f x\right)}\right)} c d^{2} e^{\left(-4 \, e\right)}}{128 \, a^{2} f^{3}} + \frac{{\left(32 \, f^{4} x^{4} e^{\left(4 \, e\right)} - 32 \, {\left(4 \, f^{3} x^{3} e^{\left(2 \, e\right)} + 6 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 6 \, f x e^{\left(2 \, e\right)} + 3 \, e^{\left(2 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - {\left(32 \, f^{3} x^{3} + 24 \, f^{2} x^{2} + 12 \, f x + 3\right)} e^{\left(-4 \, f x\right)}\right)} d^{3} e^{\left(-4 \, e\right)}}{512 \, a^{2} f^{4}}"," ",0,"1/16*c^3*(4*(f*x + e)/(a^2*f) - (4*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e))/(a^2*f)) + 3/64*(8*f^2*x^2*e^(4*e) - 8*(2*f*x*e^(2*e) + e^(2*e))*e^(-2*f*x) - (4*f*x + 1)*e^(-4*f*x))*c^2*d*e^(-4*e)/(a^2*f^2) + 1/128*(32*f^3*x^3*e^(4*e) - 48*(2*f^2*x^2*e^(2*e) + 2*f*x*e^(2*e) + e^(2*e))*e^(-2*f*x) - 3*(8*f^2*x^2 + 4*f*x + 1)*e^(-4*f*x))*c*d^2*e^(-4*e)/(a^2*f^3) + 1/512*(32*f^4*x^4*e^(4*e) - 32*(4*f^3*x^3*e^(2*e) + 6*f^2*x^2*e^(2*e) + 6*f*x*e^(2*e) + 3*e^(2*e))*e^(-2*f*x) - (32*f^3*x^3 + 24*f^2*x^2 + 12*f*x + 3)*e^(-4*f*x))*d^3*e^(-4*e)/(a^2*f^4)","A",0
39,1,190,0,0.634567," ","integrate((d*x+c)^2/(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{16} \, c^{2} {\left(\frac{4 \, {\left(f x + e\right)}}{a^{2} f} - \frac{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)}}{a^{2} f}\right)} + \frac{{\left(8 \, f^{2} x^{2} e^{\left(4 \, e\right)} - 8 \, {\left(2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - {\left(4 \, f x + 1\right)} e^{\left(-4 \, f x\right)}\right)} c d e^{\left(-4 \, e\right)}}{32 \, a^{2} f^{2}} + \frac{{\left(32 \, f^{3} x^{3} e^{\left(4 \, e\right)} - 48 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 3 \, {\left(8 \, f^{2} x^{2} + 4 \, f x + 1\right)} e^{\left(-4 \, f x\right)}\right)} d^{2} e^{\left(-4 \, e\right)}}{384 \, a^{2} f^{3}}"," ",0,"1/16*c^2*(4*(f*x + e)/(a^2*f) - (4*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e))/(a^2*f)) + 1/32*(8*f^2*x^2*e^(4*e) - 8*(2*f*x*e^(2*e) + e^(2*e))*e^(-2*f*x) - (4*f*x + 1)*e^(-4*f*x))*c*d*e^(-4*e)/(a^2*f^2) + 1/384*(32*f^3*x^3*e^(4*e) - 48*(2*f^2*x^2*e^(2*e) + 2*f*x*e^(2*e) + e^(2*e))*e^(-2*f*x) - 3*(8*f^2*x^2 + 4*f*x + 1)*e^(-4*f*x))*d^2*e^(-4*e)/(a^2*f^3)","A",0
40,1,106,0,1.451912," ","integrate((d*x+c)/(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{16} \, c {\left(\frac{4 \, {\left(f x + e\right)}}{a^{2} f} - \frac{4 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)}}{a^{2} f}\right)} + \frac{{\left(8 \, f^{2} x^{2} e^{\left(4 \, e\right)} - 8 \, {\left(2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - {\left(4 \, f x + 1\right)} e^{\left(-4 \, f x\right)}\right)} d e^{\left(-4 \, e\right)}}{64 \, a^{2} f^{2}}"," ",0,"1/16*c*(4*(f*x + e)/(a^2*f) - (4*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e))/(a^2*f)) + 1/64*(8*f^2*x^2*e^(4*e) - 8*(2*f*x*e^(2*e) + e^(2*e))*e^(-2*f*x) - (4*f*x + 1)*e^(-4*f*x))*d*e^(-4*e)/(a^2*f^2)","A",0
41,1,81,0,1.071221," ","integrate(1/(d*x+c)/(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{e^{\left(-4 \, e + \frac{4 \, c f}{d}\right)} E_{1}\left(\frac{4 \, {\left(d x + c\right)} f}{d}\right)}{4 \, a^{2} d} - \frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{1}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{2 \, a^{2} d} + \frac{\log\left(d x + c\right)}{4 \, a^{2} d}"," ",0,"-1/4*e^(-4*e + 4*c*f/d)*exp_integral_e(1, 4*(d*x + c)*f/d)/(a^2*d) - 1/2*e^(-2*e + 2*c*f/d)*exp_integral_e(1, 2*(d*x + c)*f/d)/(a^2*d) + 1/4*log(d*x + c)/(a^2*d)","A",0
42,1,100,0,1.952557," ","integrate(1/(d*x+c)^2/(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(a^{2} d^{2} x + a^{2} c d\right)}} - \frac{e^{\left(-4 \, e + \frac{4 \, c f}{d}\right)} E_{2}\left(\frac{4 \, {\left(d x + c\right)} f}{d}\right)}{4 \, {\left(d x + c\right)} a^{2} d} - \frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{2}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{2 \, {\left(d x + c\right)} a^{2} d}"," ",0,"-1/4/(a^2*d^2*x + a^2*c*d) - 1/4*e^(-4*e + 4*c*f/d)*exp_integral_e(2, 4*(d*x + c)*f/d)/((d*x + c)*a^2*d) - 1/2*e^(-2*e + 2*c*f/d)*exp_integral_e(2, 2*(d*x + c)*f/d)/((d*x + c)*a^2*d)","A",0
43,1,407,0,2.499571," ","integrate((d*x+c)^3/(a+a*tanh(f*x+e))^3,x, algorithm=""maxima"")","\frac{1}{96} \, c^{3} {\left(\frac{12 \, {\left(f x + e\right)}}{a^{3} f} - \frac{18 \, e^{\left(-2 \, f x - 2 \, e\right)} + 9 \, e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, e^{\left(-6 \, f x - 6 \, e\right)}}{a^{3} f}\right)} + \frac{{\left(72 \, f^{2} x^{2} e^{\left(6 \, e\right)} - 108 \, {\left(2 \, f x e^{\left(4 \, e\right)} + e^{\left(4 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 27 \, {\left(4 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-4 \, f x\right)} - 4 \, {\left(6 \, f x + 1\right)} e^{\left(-6 \, f x\right)}\right)} c^{2} d e^{\left(-6 \, e\right)}}{384 \, a^{3} f^{2}} + \frac{{\left(288 \, f^{3} x^{3} e^{\left(6 \, e\right)} - 648 \, {\left(2 \, f^{2} x^{2} e^{\left(4 \, e\right)} + 2 \, f x e^{\left(4 \, e\right)} + e^{\left(4 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 81 \, {\left(8 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 4 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-4 \, f x\right)} - 8 \, {\left(18 \, f^{2} x^{2} + 6 \, f x + 1\right)} e^{\left(-6 \, f x\right)}\right)} c d^{2} e^{\left(-6 \, e\right)}}{2304 \, a^{3} f^{3}} + \frac{{\left(864 \, f^{4} x^{4} e^{\left(6 \, e\right)} - 1296 \, {\left(4 \, f^{3} x^{3} e^{\left(4 \, e\right)} + 6 \, f^{2} x^{2} e^{\left(4 \, e\right)} + 6 \, f x e^{\left(4 \, e\right)} + 3 \, e^{\left(4 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 81 \, {\left(32 \, f^{3} x^{3} e^{\left(2 \, e\right)} + 24 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 12 \, f x e^{\left(2 \, e\right)} + 3 \, e^{\left(2 \, e\right)}\right)} e^{\left(-4 \, f x\right)} - 16 \, {\left(36 \, f^{3} x^{3} + 18 \, f^{2} x^{2} + 6 \, f x + 1\right)} e^{\left(-6 \, f x\right)}\right)} d^{3} e^{\left(-6 \, e\right)}}{27648 \, a^{3} f^{4}}"," ",0,"1/96*c^3*(12*(f*x + e)/(a^3*f) - (18*e^(-2*f*x - 2*e) + 9*e^(-4*f*x - 4*e) + 2*e^(-6*f*x - 6*e))/(a^3*f)) + 1/384*(72*f^2*x^2*e^(6*e) - 108*(2*f*x*e^(4*e) + e^(4*e))*e^(-2*f*x) - 27*(4*f*x*e^(2*e) + e^(2*e))*e^(-4*f*x) - 4*(6*f*x + 1)*e^(-6*f*x))*c^2*d*e^(-6*e)/(a^3*f^2) + 1/2304*(288*f^3*x^3*e^(6*e) - 648*(2*f^2*x^2*e^(4*e) + 2*f*x*e^(4*e) + e^(4*e))*e^(-2*f*x) - 81*(8*f^2*x^2*e^(2*e) + 4*f*x*e^(2*e) + e^(2*e))*e^(-4*f*x) - 8*(18*f^2*x^2 + 6*f*x + 1)*e^(-6*f*x))*c*d^2*e^(-6*e)/(a^3*f^3) + 1/27648*(864*f^4*x^4*e^(6*e) - 1296*(4*f^3*x^3*e^(4*e) + 6*f^2*x^2*e^(4*e) + 6*f*x*e^(4*e) + 3*e^(4*e))*e^(-2*f*x) - 81*(32*f^3*x^3*e^(2*e) + 24*f^2*x^2*e^(2*e) + 12*f*x*e^(2*e) + 3*e^(2*e))*e^(-4*f*x) - 16*(36*f^3*x^3 + 18*f^2*x^2 + 6*f*x + 1)*e^(-6*f*x))*d^3*e^(-6*e)/(a^3*f^4)","A",0
44,1,255,0,1.756842," ","integrate((d*x+c)^2/(a+a*tanh(f*x+e))^3,x, algorithm=""maxima"")","\frac{1}{96} \, c^{2} {\left(\frac{12 \, {\left(f x + e\right)}}{a^{3} f} - \frac{18 \, e^{\left(-2 \, f x - 2 \, e\right)} + 9 \, e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, e^{\left(-6 \, f x - 6 \, e\right)}}{a^{3} f}\right)} + \frac{{\left(72 \, f^{2} x^{2} e^{\left(6 \, e\right)} - 108 \, {\left(2 \, f x e^{\left(4 \, e\right)} + e^{\left(4 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 27 \, {\left(4 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-4 \, f x\right)} - 4 \, {\left(6 \, f x + 1\right)} e^{\left(-6 \, f x\right)}\right)} c d e^{\left(-6 \, e\right)}}{576 \, a^{3} f^{2}} + \frac{{\left(288 \, f^{3} x^{3} e^{\left(6 \, e\right)} - 648 \, {\left(2 \, f^{2} x^{2} e^{\left(4 \, e\right)} + 2 \, f x e^{\left(4 \, e\right)} + e^{\left(4 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 81 \, {\left(8 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 4 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-4 \, f x\right)} - 8 \, {\left(18 \, f^{2} x^{2} + 6 \, f x + 1\right)} e^{\left(-6 \, f x\right)}\right)} d^{2} e^{\left(-6 \, e\right)}}{6912 \, a^{3} f^{3}}"," ",0,"1/96*c^2*(12*(f*x + e)/(a^3*f) - (18*e^(-2*f*x - 2*e) + 9*e^(-4*f*x - 4*e) + 2*e^(-6*f*x - 6*e))/(a^3*f)) + 1/576*(72*f^2*x^2*e^(6*e) - 108*(2*f*x*e^(4*e) + e^(4*e))*e^(-2*f*x) - 27*(4*f*x*e^(2*e) + e^(2*e))*e^(-4*f*x) - 4*(6*f*x + 1)*e^(-6*f*x))*c*d*e^(-6*e)/(a^3*f^2) + 1/6912*(288*f^3*x^3*e^(6*e) - 648*(2*f^2*x^2*e^(4*e) + 2*f*x*e^(4*e) + e^(4*e))*e^(-2*f*x) - 81*(8*f^2*x^2*e^(2*e) + 4*f*x*e^(2*e) + e^(2*e))*e^(-4*f*x) - 8*(18*f^2*x^2 + 6*f*x + 1)*e^(-6*f*x))*d^2*e^(-6*e)/(a^3*f^3)","A",0
45,1,139,0,1.048184," ","integrate((d*x+c)/(a+a*tanh(f*x+e))^3,x, algorithm=""maxima"")","\frac{1}{96} \, c {\left(\frac{12 \, {\left(f x + e\right)}}{a^{3} f} - \frac{18 \, e^{\left(-2 \, f x - 2 \, e\right)} + 9 \, e^{\left(-4 \, f x - 4 \, e\right)} + 2 \, e^{\left(-6 \, f x - 6 \, e\right)}}{a^{3} f}\right)} + \frac{{\left(72 \, f^{2} x^{2} e^{\left(6 \, e\right)} - 108 \, {\left(2 \, f x e^{\left(4 \, e\right)} + e^{\left(4 \, e\right)}\right)} e^{\left(-2 \, f x\right)} - 27 \, {\left(4 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(-4 \, f x\right)} - 4 \, {\left(6 \, f x + 1\right)} e^{\left(-6 \, f x\right)}\right)} d e^{\left(-6 \, e\right)}}{1152 \, a^{3} f^{2}}"," ",0,"1/96*c*(12*(f*x + e)/(a^3*f) - (18*e^(-2*f*x - 2*e) + 9*e^(-4*f*x - 4*e) + 2*e^(-6*f*x - 6*e))/(a^3*f)) + 1/1152*(72*f^2*x^2*e^(6*e) - 108*(2*f*x*e^(4*e) + e^(4*e))*e^(-2*f*x) - 27*(4*f*x*e^(2*e) + e^(2*e))*e^(-4*f*x) - 4*(6*f*x + 1)*e^(-6*f*x))*d*e^(-6*e)/(a^3*f^2)","A",0
46,1,114,0,4.526850," ","integrate(1/(d*x+c)/(a+a*tanh(f*x+e))^3,x, algorithm=""maxima"")","-\frac{e^{\left(-6 \, e + \frac{6 \, c f}{d}\right)} E_{1}\left(\frac{6 \, {\left(d x + c\right)} f}{d}\right)}{8 \, a^{3} d} - \frac{3 \, e^{\left(-4 \, e + \frac{4 \, c f}{d}\right)} E_{1}\left(\frac{4 \, {\left(d x + c\right)} f}{d}\right)}{8 \, a^{3} d} - \frac{3 \, e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{1}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{8 \, a^{3} d} + \frac{\log\left(d x + c\right)}{8 \, a^{3} d}"," ",0,"-1/8*e^(-6*e + 6*c*f/d)*exp_integral_e(1, 6*(d*x + c)*f/d)/(a^3*d) - 3/8*e^(-4*e + 4*c*f/d)*exp_integral_e(1, 4*(d*x + c)*f/d)/(a^3*d) - 3/8*e^(-2*e + 2*c*f/d)*exp_integral_e(1, 2*(d*x + c)*f/d)/(a^3*d) + 1/8*log(d*x + c)/(a^3*d)","A",0
47,1,140,0,7.710733," ","integrate(1/(d*x+c)^2/(a+a*tanh(f*x+e))^3,x, algorithm=""maxima"")","-\frac{1}{8 \, {\left(a^{3} d^{2} x + a^{3} c d\right)}} - \frac{e^{\left(-6 \, e + \frac{6 \, c f}{d}\right)} E_{2}\left(\frac{6 \, {\left(d x + c\right)} f}{d}\right)}{8 \, {\left(d x + c\right)} a^{3} d} - \frac{3 \, e^{\left(-4 \, e + \frac{4 \, c f}{d}\right)} E_{2}\left(\frac{4 \, {\left(d x + c\right)} f}{d}\right)}{8 \, {\left(d x + c\right)} a^{3} d} - \frac{3 \, e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{2}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{8 \, {\left(d x + c\right)} a^{3} d}"," ",0,"-1/8/(a^3*d^2*x + a^3*c*d) - 1/8*e^(-6*e + 6*c*f/d)*exp_integral_e(2, 6*(d*x + c)*f/d)/((d*x + c)*a^3*d) - 3/8*e^(-4*e + 4*c*f/d)*exp_integral_e(2, 4*(d*x + c)*f/d)/((d*x + c)*a^3*d) - 3/8*e^(-2*e + 2*c*f/d)*exp_integral_e(2, 2*(d*x + c)*f/d)/((d*x + c)*a^3*d)","A",0
48,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{{\left(d x + c\right)}^{m + 1} a^{2}}{d {\left(m + 1\right)}} + \int \frac{2 \, {\left(d x + c\right)}^{m} a^{2} {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)}}{e^{\left(f x + e\right)} + e^{\left(-f x - e\right)}} + \frac{{\left(d x + c\right)}^{m} a^{2} {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)}^{2}}{{\left(e^{\left(f x + e\right)} + e^{\left(-f x - e\right)}\right)}^{2}}\,{d x}"," ",0,"(d*x + c)^(m + 1)*a^2/(d*(m + 1)) + integrate(2*(d*x + c)^m*a^2*(e^(f*x + e) - e^(-f*x - e))/(e^(f*x + e) + e^(-f*x - e)) + (d*x + c)^m*a^2*(e^(f*x + e) - e^(-f*x - e))^2/(e^(f*x + e) + e^(-f*x - e))^2, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","a \int \frac{{\left(d x + c\right)}^{m} {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)}}{e^{\left(f x + e\right)} + e^{\left(-f x - e\right)}}\,{d x} + \frac{{\left(d x + c\right)}^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"a*integrate((d*x + c)^m*(e^(f*x + e) - e^(-f*x - e))/(e^(f*x + e) + e^(-f*x - e)), x) + (d*x + c)^(m + 1)*a/(d*(m + 1))","F",0
50,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*tanh(f*x+e)),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{a \tanh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*tanh(f*x + e) + a), x)","F",0
51,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*tanh(f*x+e))^2,x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(a \tanh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*tanh(f*x + e) + a)^2, x)","F",0
52,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*tanh(f*x+e))^3,x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(a \tanh\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*tanh(f*x + e) + a)^3, x)","F",0
53,1,304,0,0.391338," ","integrate((d*x+c)^3*(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{4} \, a d^{3} x^{4} + \frac{1}{4} \, b d^{3} x^{4} + a c d^{2} x^{3} + b c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + \frac{3}{2} \, b c^{2} d x^{2} + a c^{3} x + \frac{b c^{3} \log\left(\cosh\left(f x + e\right)\right)}{f} + \frac{3 \, {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} b c^{2} d}{2 \, f^{2}} + \frac{3 \, {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} b c d^{2}}{2 \, f^{3}} + \frac{{\left(4 \, f^{3} x^{3} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - 6 \, f x {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)}) + 3 \, {\rm Li}_{4}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} b d^{3}}{3 \, f^{4}} - \frac{b d^{3} f^{4} x^{4} + 4 \, b c d^{2} f^{4} x^{3} + 6 \, b c^{2} d f^{4} x^{2}}{2 \, f^{4}}"," ",0,"1/4*a*d^3*x^4 + 1/4*b*d^3*x^4 + a*c*d^2*x^3 + b*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + 3/2*b*c^2*d*x^2 + a*c^3*x + b*c^3*log(cosh(f*x + e))/f + 3/2*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*b*c^2*d/f^2 + 3/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*b*c*d^2/f^3 + 1/3*(4*f^3*x^3*log(e^(2*f*x + 2*e) + 1) + 6*f^2*x^2*dilog(-e^(2*f*x + 2*e)) - 6*f*x*polylog(3, -e^(2*f*x + 2*e)) + 3*polylog(4, -e^(2*f*x + 2*e)))*b*d^3/f^4 - 1/2*(b*d^3*f^4*x^4 + 4*b*c*d^2*f^4*x^3 + 6*b*c^2*d*f^4*x^2)/f^4","B",0
54,1,179,0,0.395129," ","integrate((d*x+c)^2*(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{3} \, a d^{2} x^{3} + \frac{1}{3} \, b d^{2} x^{3} + a c d x^{2} + b c d x^{2} + a c^{2} x + \frac{b c^{2} \log\left(\cosh\left(f x + e\right)\right)}{f} + \frac{{\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)} b c d}{f^{2}} + \frac{{\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} b d^{2}}{2 \, f^{3}} - \frac{2 \, {\left(b d^{2} f^{3} x^{3} + 3 \, b c d f^{3} x^{2}\right)}}{3 \, f^{3}}"," ",0,"1/3*a*d^2*x^3 + 1/3*b*d^2*x^3 + a*c*d*x^2 + b*c*d*x^2 + a*c^2*x + b*c^2*log(cosh(f*x + e))/f + (2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))*b*c*d/f^2 + 1/2*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*b*d^2/f^3 - 2/3*(b*d^2*f^3*x^3 + 3*b*c*d*f^3*x^2)/f^3","A",0
55,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{2} \, a d x^{2} + \frac{1}{2} \, {\left(x^{2} - 4 \, \int \frac{x}{e^{\left(2 \, f x + 2 \, e\right)} + 1}\,{d x}\right)} b d + a c x + \frac{b c \log\left(\cosh\left(f x + e\right)\right)}{f}"," ",0,"1/2*a*d*x^2 + 1/2*(x^2 - 4*integrate(x/(e^(2*f*x + 2*e) + 1), x))*b*d + a*c*x + b*c*log(cosh(f*x + e))/f","F",0
56,0,0,0,0.000000," ","integrate((a+b*tanh(f*x+e))/(d*x+c),x, algorithm=""maxima"")","b {\left(\frac{\log\left(d x + c\right)}{d} - 2 \, \int \frac{1}{d x + {\left(d x e^{\left(2 \, e\right)} + c e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + c}\,{d x}\right)} + \frac{a \log\left(d x + c\right)}{d}"," ",0,"b*(log(d*x + c)/d - 2*integrate(1/(d*x + (d*x*e^(2*e) + c*e^(2*e))*e^(2*f*x) + c), x)) + a*log(d*x + c)/d","F",0
57,0,0,0,0.000000," ","integrate((a+b*tanh(f*x+e))/(d*x+c)^2,x, algorithm=""maxima"")","-b {\left(\frac{1}{d^{2} x + c d} + 2 \, \int \frac{1}{d^{2} x^{2} + 2 \, c d x + c^{2} + {\left(d^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, c d x e^{\left(2 \, e\right)} + c^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}\right)} - \frac{a}{d^{2} x + c d}"," ",0,"-b*(1/(d^2*x + c*d) + 2*integrate(1/(d^2*x^2 + 2*c*d*x + c^2 + (d^2*x^2*e^(2*e) + 2*c*d*x*e^(2*e) + c^2*e^(2*e))*e^(2*f*x)), x)) - a/(d^2*x + c*d)","F",0
58,1,625,0,0.434426," ","integrate((d*x+c)^3*(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} d^{3} x^{4} + a^{2} c d^{2} x^{3} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + b^{2} c^{3} {\left(x + \frac{e}{f} - \frac{2}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}}\right)} + a^{2} c^{3} x + \frac{3}{2} \, b^{2} c^{2} d {\left(\frac{f x^{2} + {\left(f x^{2} e^{\left(2 \, e\right)} - 4 \, x e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} + \frac{2 \, \log\left({\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-2 \, e\right)}\right)}{f^{2}}\right)} + \frac{2 \, a b c^{3} \log\left(\cosh\left(f x + e\right)\right)}{f} + \frac{2 \, {\left(4 \, f^{3} x^{3} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - 6 \, f x {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)}) + 3 \, {\rm Li}_{4}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} a b d^{3}}{3 \, f^{4}} + \frac{{\left(2 \, a b d^{3} f + b^{2} d^{3} f\right)} x^{4} + 4 \, {\left(2 \, a b c d^{2} f + {\left(c d^{2} f + 2 \, d^{3}\right)} b^{2}\right)} x^{3} + 12 \, {\left(a b c^{2} d f + 2 \, b^{2} c d^{2}\right)} x^{2} + {\left(12 \, a b c^{2} d f x^{2} e^{\left(2 \, e\right)} + {\left(2 \, a b d^{3} f e^{\left(2 \, e\right)} + b^{2} d^{3} f e^{\left(2 \, e\right)}\right)} x^{4} + 4 \, {\left(2 \, a b c d^{2} f e^{\left(2 \, e\right)} + b^{2} c d^{2} f e^{\left(2 \, e\right)}\right)} x^{3}\right)} e^{\left(2 \, f x\right)}}{4 \, {\left(f e^{\left(2 \, f x + 2 \, e\right)} + f\right)}} + \frac{3 \, {\left(a b c^{2} d f + b^{2} c d^{2}\right)} {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)}}{f^{3}} + \frac{3 \, {\left(2 \, a b c d^{2} f + b^{2} d^{3}\right)} {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)}}{2 \, f^{4}} - \frac{a b d^{3} f^{4} x^{4} + 2 \, {\left(2 \, a b c d^{2} f + b^{2} d^{3}\right)} f^{3} x^{3} + 6 \, {\left(a b c^{2} d f^{2} + b^{2} c d^{2} f\right)} f^{2} x^{2}}{f^{4}}"," ",0,"1/4*a^2*d^3*x^4 + a^2*c*d^2*x^3 + 3/2*a^2*c^2*d*x^2 + b^2*c^3*(x + e/f - 2/(f*(e^(-2*f*x - 2*e) + 1))) + a^2*c^3*x + 3/2*b^2*c^2*d*((f*x^2 + (f*x^2*e^(2*e) - 4*x*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) + 2*log((e^(2*f*x + 2*e) + 1)*e^(-2*e))/f^2) + 2*a*b*c^3*log(cosh(f*x + e))/f + 2/3*(4*f^3*x^3*log(e^(2*f*x + 2*e) + 1) + 6*f^2*x^2*dilog(-e^(2*f*x + 2*e)) - 6*f*x*polylog(3, -e^(2*f*x + 2*e)) + 3*polylog(4, -e^(2*f*x + 2*e)))*a*b*d^3/f^4 + 1/4*((2*a*b*d^3*f + b^2*d^3*f)*x^4 + 4*(2*a*b*c*d^2*f + (c*d^2*f + 2*d^3)*b^2)*x^3 + 12*(a*b*c^2*d*f + 2*b^2*c*d^2)*x^2 + (12*a*b*c^2*d*f*x^2*e^(2*e) + (2*a*b*d^3*f*e^(2*e) + b^2*d^3*f*e^(2*e))*x^4 + 4*(2*a*b*c*d^2*f*e^(2*e) + b^2*c*d^2*f*e^(2*e))*x^3)*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) + 3*(a*b*c^2*d*f + b^2*c*d^2)*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))/f^3 + 3/2*(2*a*b*c*d^2*f + b^2*d^3)*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))/f^4 - (a*b*d^3*f^4*x^4 + 2*(2*a*b*c*d^2*f + b^2*d^3)*f^3*x^3 + 6*(a*b*c^2*d*f^2 + b^2*c*d^2*f)*f^2*x^2)/f^4","B",0
59,1,411,0,0.434510," ","integrate((d*x+c)^2*(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + a^{2} c d x^{2} + b^{2} c^{2} {\left(x + \frac{e}{f} - \frac{2}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}}\right)} + a^{2} c^{2} x + b^{2} c d {\left(\frac{f x^{2} + {\left(f x^{2} e^{\left(2 \, e\right)} - 4 \, x e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} + \frac{2 \, \log\left({\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-2 \, e\right)}\right)}{f^{2}}\right)} + \frac{2 \, a b c^{2} \log\left(\cosh\left(f x + e\right)\right)}{f} + \frac{{\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} a b d^{2}}{f^{3}} + \frac{{\left(2 \, a b d^{2} f + b^{2} d^{2} f\right)} x^{3} + 6 \, {\left(a b c d f + b^{2} d^{2}\right)} x^{2} + {\left(6 \, a b c d f x^{2} e^{\left(2 \, e\right)} + {\left(2 \, a b d^{2} f e^{\left(2 \, e\right)} + b^{2} d^{2} f e^{\left(2 \, e\right)}\right)} x^{3}\right)} e^{\left(2 \, f x\right)}}{3 \, {\left(f e^{\left(2 \, f x + 2 \, e\right)} + f\right)}} + \frac{{\left(2 \, a b c d f + b^{2} d^{2}\right)} {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)}}{f^{3}} - \frac{2 \, {\left(2 \, a b d^{2} f^{3} x^{3} + 3 \, {\left(2 \, a b c d f + b^{2} d^{2}\right)} f^{2} x^{2}\right)}}{3 \, f^{3}}"," ",0,"1/3*a^2*d^2*x^3 + a^2*c*d*x^2 + b^2*c^2*(x + e/f - 2/(f*(e^(-2*f*x - 2*e) + 1))) + a^2*c^2*x + b^2*c*d*((f*x^2 + (f*x^2*e^(2*e) - 4*x*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) + 2*log((e^(2*f*x + 2*e) + 1)*e^(-2*e))/f^2) + 2*a*b*c^2*log(cosh(f*x + e))/f + (2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))*a*b*d^2/f^3 + 1/3*((2*a*b*d^2*f + b^2*d^2*f)*x^3 + 6*(a*b*c*d*f + b^2*d^2)*x^2 + (6*a*b*c*d*f*x^2*e^(2*e) + (2*a*b*d^2*f*e^(2*e) + b^2*d^2*f*e^(2*e))*x^3)*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) + (2*a*b*c*d*f + b^2*d^2)*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))/f^3 - 2/3*(2*a*b*d^2*f^3*x^3 + 3*(2*a*b*c*d*f + b^2*d^2)*f^2*x^2)/f^3","B",0
60,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} d x^{2} + {\left(x^{2} - 4 \, \int \frac{x}{e^{\left(2 \, f x + 2 \, e\right)} + 1}\,{d x}\right)} a b d + b^{2} c {\left(x + \frac{e}{f} - \frac{2}{f {\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}}\right)} + a^{2} c x + \frac{1}{2} \, b^{2} d {\left(\frac{f x^{2} + {\left(f x^{2} e^{\left(2 \, e\right)} - 4 \, x e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f e^{\left(2 \, f x + 2 \, e\right)} + f} + \frac{2 \, \log\left({\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)} e^{\left(-2 \, e\right)}\right)}{f^{2}}\right)} + \frac{2 \, a b c \log\left(\cosh\left(f x + e\right)\right)}{f}"," ",0,"1/2*a^2*d*x^2 + (x^2 - 4*integrate(x/(e^(2*f*x + 2*e) + 1), x))*a*b*d + b^2*c*(x + e/f - 2/(f*(e^(-2*f*x - 2*e) + 1))) + a^2*c*x + 1/2*b^2*d*((f*x^2 + (f*x^2*e^(2*e) - 4*x*e^(2*e))*e^(2*f*x))/(f*e^(2*f*x + 2*e) + f) + 2*log((e^(2*f*x + 2*e) + 1)*e^(-2*e))/f^2) + 2*a*b*c*log(cosh(f*x + e))/f","F",0
61,0,0,0,0.000000," ","integrate((a+b*tanh(f*x+e))^2/(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} \log\left(d x + c\right)}{d} + \frac{2 \, b^{2}}{d f x + c f + {\left(d f x e^{\left(2 \, e\right)} + c f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}} + \frac{{\left(2 \, a b + b^{2}\right)} \log\left(d x + c\right)}{d} - \int \frac{2 \, {\left(2 \, a b d f x + 2 \, a b c f - b^{2} d\right)}}{d^{2} f x^{2} + 2 \, c d f x + c^{2} f + {\left(d^{2} f x^{2} e^{\left(2 \, e\right)} + 2 \, c d f x e^{\left(2 \, e\right)} + c^{2} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"a^2*log(d*x + c)/d + 2*b^2/(d*f*x + c*f + (d*f*x*e^(2*e) + c*f*e^(2*e))*e^(2*f*x)) + (2*a*b + b^2)*log(d*x + c)/d - integrate(2*(2*a*b*d*f*x + 2*a*b*c*f - b^2*d)/(d^2*f*x^2 + 2*c*d*f*x + c^2*f + (d^2*f*x^2*e^(2*e) + 2*c*d*f*x*e^(2*e) + c^2*f*e^(2*e))*e^(2*f*x)), x)","F",0
62,0,0,0,0.000000," ","integrate((a+b*tanh(f*x+e))^2/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{d^{2} x + c d} - \frac{2 \, a b c f + {\left(c f - 2 \, d\right)} b^{2} + {\left(2 \, a b d f + b^{2} d f\right)} x + {\left(2 \, a b c f e^{\left(2 \, e\right)} + b^{2} c f e^{\left(2 \, e\right)} + {\left(2 \, a b d f e^{\left(2 \, e\right)} + b^{2} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}{d^{3} f x^{2} + 2 \, c d^{2} f x + c^{2} d f + {\left(d^{3} f x^{2} e^{\left(2 \, e\right)} + 2 \, c d^{2} f x e^{\left(2 \, e\right)} + c^{2} d f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}} - \int \frac{4 \, {\left(a b d f x + a b c f - b^{2} d\right)}}{d^{3} f x^{3} + 3 \, c d^{2} f x^{2} + 3 \, c^{2} d f x + c^{3} f + {\left(d^{3} f x^{3} e^{\left(2 \, e\right)} + 3 \, c d^{2} f x^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d f x e^{\left(2 \, e\right)} + c^{3} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"-a^2/(d^2*x + c*d) - (2*a*b*c*f + (c*f - 2*d)*b^2 + (2*a*b*d*f + b^2*d*f)*x + (2*a*b*c*f*e^(2*e) + b^2*c*f*e^(2*e) + (2*a*b*d*f*e^(2*e) + b^2*d*f*e^(2*e))*x)*e^(2*f*x))/(d^3*f*x^2 + 2*c*d^2*f*x + c^2*d*f + (d^3*f*x^2*e^(2*e) + 2*c*d^2*f*x*e^(2*e) + c^2*d*f*e^(2*e))*e^(2*f*x)) - integrate(4*(a*b*d*f*x + a*b*c*f - b^2*d)/(d^3*f*x^3 + 3*c*d^2*f*x^2 + 3*c^2*d*f*x + c^3*f + (d^3*f*x^3*e^(2*e) + 3*c*d^2*f*x^2*e^(2*e) + 3*c^2*d*f*x*e^(2*e) + c^3*f*e^(2*e))*e^(2*f*x)), x)","F",0
63,1,1297,0,1.361170," ","integrate((d*x+c)^3*(a+b*tanh(f*x+e))^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{3} d^{3} x^{4} + a^{3} c d^{2} x^{3} + \frac{3}{2} \, a^{3} c^{2} d x^{2} + b^{3} c^{3} {\left(x + \frac{e}{f} + \frac{\log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{f} + \frac{2 \, e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}\right)} + a^{3} c^{3} x + \frac{3 \, a^{2} b c^{3} \log\left(\cosh\left(f x + e\right)\right)}{f} + \frac{24 \, a b^{2} c^{3} f + 12 \, b^{3} c^{2} d + {\left(3 \, a^{2} b d^{3} f^{2} + 3 \, a b^{2} d^{3} f^{2} + b^{3} d^{3} f^{2}\right)} x^{4} + 4 \, {\left(3 \, a^{2} b c d^{2} f^{2} + b^{3} c d^{2} f^{2} + 3 \, {\left(c d^{2} f^{2} + 2 \, d^{3} f\right)} a b^{2}\right)} x^{3} + 6 \, {\left(3 \, a^{2} b c^{2} d f^{2} + 3 \, {\left(c^{2} d f^{2} + 4 \, c d^{2} f\right)} a b^{2} + {\left(c^{2} d f^{2} + 2 \, d^{3}\right)} b^{3}\right)} x^{2} + 12 \, {\left(2 \, b^{3} c d^{2} + {\left(c^{3} f^{2} + 6 \, c^{2} d f\right)} a b^{2}\right)} x + {\left(12 \, a b^{2} c^{3} f^{2} x e^{\left(4 \, e\right)} + {\left(3 \, a^{2} b d^{3} f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} d^{3} f^{2} e^{\left(4 \, e\right)} + b^{3} d^{3} f^{2} e^{\left(4 \, e\right)}\right)} x^{4} + 4 \, {\left(3 \, a^{2} b c d^{2} f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} c d^{2} f^{2} e^{\left(4 \, e\right)} + b^{3} c d^{2} f^{2} e^{\left(4 \, e\right)}\right)} x^{3} + 6 \, {\left(3 \, a^{2} b c^{2} d f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} c^{2} d f^{2} e^{\left(4 \, e\right)} + b^{3} c^{2} d f^{2} e^{\left(4 \, e\right)}\right)} x^{2}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(12 \, a b^{2} c^{3} f e^{\left(2 \, e\right)} + 6 \, b^{3} c^{2} d e^{\left(2 \, e\right)} + {\left(3 \, a^{2} b d^{3} f^{2} e^{\left(2 \, e\right)} + 3 \, a b^{2} d^{3} f^{2} e^{\left(2 \, e\right)} + b^{3} d^{3} f^{2} e^{\left(2 \, e\right)}\right)} x^{4} + 4 \, {\left(3 \, a^{2} b c d^{2} f^{2} e^{\left(2 \, e\right)} + 3 \, {\left(c d^{2} f^{2} e^{\left(2 \, e\right)} + d^{3} f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(c d^{2} f^{2} e^{\left(2 \, e\right)} + d^{3} f e^{\left(2 \, e\right)}\right)} b^{3}\right)} x^{3} + 6 \, {\left(3 \, a^{2} b c^{2} d f^{2} e^{\left(2 \, e\right)} + 3 \, {\left(c^{2} d f^{2} e^{\left(2 \, e\right)} + 2 \, c d^{2} f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(c^{2} d f^{2} e^{\left(2 \, e\right)} + 2 \, c d^{2} f e^{\left(2 \, e\right)} + d^{3} e^{\left(2 \, e\right)}\right)} b^{3}\right)} x^{2} + 12 \, {\left({\left(c^{3} f^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(c^{2} d f e^{\left(2 \, e\right)} + c d^{2} e^{\left(2 \, e\right)}\right)} b^{3}\right)} x\right)} e^{\left(2 \, f x\right)}}{4 \, {\left(f^{2} e^{\left(4 \, f x + 4 \, e\right)} + 2 \, f^{2} e^{\left(2 \, f x + 2 \, e\right)} + f^{2}\right)}} - \frac{6 \, {\left(3 \, a b^{2} c^{2} d f + b^{3} c d^{2}\right)} x}{f^{2}} + \frac{3 \, {\left(3 \, a b^{2} c^{2} d f + b^{3} c d^{2}\right)} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{f^{3}} + \frac{{\left(4 \, f^{3} x^{3} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - 6 \, f x {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)}) + 3 \, {\rm Li}_{4}(-e^{\left(2 \, f x + 2 \, e\right)})\right)} {\left(3 \, a^{2} b d^{3} + b^{3} d^{3}\right)}}{3 \, f^{4}} + \frac{3 \, {\left(3 \, a^{2} b c d^{2} f + b^{3} c d^{2} f + 3 \, a b^{2} d^{3}\right)} {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)}}{2 \, f^{4}} + \frac{3 \, {\left(3 \, a^{2} b c^{2} d f^{2} + 6 \, a b^{2} c d^{2} f + {\left(c^{2} d f^{2} + d^{3}\right)} b^{3}\right)} {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)}}{2 \, f^{4}} - \frac{{\left(3 \, a^{2} b d^{3} + b^{3} d^{3}\right)} f^{4} x^{4} + 4 \, {\left(3 \, a^{2} b c d^{2} f + b^{3} c d^{2} f + 3 \, a b^{2} d^{3}\right)} f^{3} x^{3} + 6 \, {\left(3 \, a^{2} b c^{2} d f^{2} + 6 \, a b^{2} c d^{2} f + {\left(c^{2} d f^{2} + d^{3}\right)} b^{3}\right)} f^{2} x^{2}}{2 \, f^{4}}"," ",0,"1/4*a^3*d^3*x^4 + a^3*c*d^2*x^3 + 3/2*a^3*c^2*d*x^2 + b^3*c^3*(x + e/f + log(e^(-2*f*x - 2*e) + 1)/f + 2*e^(-2*f*x - 2*e)/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))) + a^3*c^3*x + 3*a^2*b*c^3*log(cosh(f*x + e))/f + 1/4*(24*a*b^2*c^3*f + 12*b^3*c^2*d + (3*a^2*b*d^3*f^2 + 3*a*b^2*d^3*f^2 + b^3*d^3*f^2)*x^4 + 4*(3*a^2*b*c*d^2*f^2 + b^3*c*d^2*f^2 + 3*(c*d^2*f^2 + 2*d^3*f)*a*b^2)*x^3 + 6*(3*a^2*b*c^2*d*f^2 + 3*(c^2*d*f^2 + 4*c*d^2*f)*a*b^2 + (c^2*d*f^2 + 2*d^3)*b^3)*x^2 + 12*(2*b^3*c*d^2 + (c^3*f^2 + 6*c^2*d*f)*a*b^2)*x + (12*a*b^2*c^3*f^2*x*e^(4*e) + (3*a^2*b*d^3*f^2*e^(4*e) + 3*a*b^2*d^3*f^2*e^(4*e) + b^3*d^3*f^2*e^(4*e))*x^4 + 4*(3*a^2*b*c*d^2*f^2*e^(4*e) + 3*a*b^2*c*d^2*f^2*e^(4*e) + b^3*c*d^2*f^2*e^(4*e))*x^3 + 6*(3*a^2*b*c^2*d*f^2*e^(4*e) + 3*a*b^2*c^2*d*f^2*e^(4*e) + b^3*c^2*d*f^2*e^(4*e))*x^2)*e^(4*f*x) + 2*(12*a*b^2*c^3*f*e^(2*e) + 6*b^3*c^2*d*e^(2*e) + (3*a^2*b*d^3*f^2*e^(2*e) + 3*a*b^2*d^3*f^2*e^(2*e) + b^3*d^3*f^2*e^(2*e))*x^4 + 4*(3*a^2*b*c*d^2*f^2*e^(2*e) + 3*(c*d^2*f^2*e^(2*e) + d^3*f*e^(2*e))*a*b^2 + (c*d^2*f^2*e^(2*e) + d^3*f*e^(2*e))*b^3)*x^3 + 6*(3*a^2*b*c^2*d*f^2*e^(2*e) + 3*(c^2*d*f^2*e^(2*e) + 2*c*d^2*f*e^(2*e))*a*b^2 + (c^2*d*f^2*e^(2*e) + 2*c*d^2*f*e^(2*e) + d^3*e^(2*e))*b^3)*x^2 + 12*((c^3*f^2*e^(2*e) + 3*c^2*d*f*e^(2*e))*a*b^2 + (c^2*d*f*e^(2*e) + c*d^2*e^(2*e))*b^3)*x)*e^(2*f*x))/(f^2*e^(4*f*x + 4*e) + 2*f^2*e^(2*f*x + 2*e) + f^2) - 6*(3*a*b^2*c^2*d*f + b^3*c*d^2)*x/f^2 + 3*(3*a*b^2*c^2*d*f + b^3*c*d^2)*log(e^(2*f*x + 2*e) + 1)/f^3 + 1/3*(4*f^3*x^3*log(e^(2*f*x + 2*e) + 1) + 6*f^2*x^2*dilog(-e^(2*f*x + 2*e)) - 6*f*x*polylog(3, -e^(2*f*x + 2*e)) + 3*polylog(4, -e^(2*f*x + 2*e)))*(3*a^2*b*d^3 + b^3*d^3)/f^4 + 3/2*(3*a^2*b*c*d^2*f + b^3*c*d^2*f + 3*a*b^2*d^3)*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))/f^4 + 3/2*(3*a^2*b*c^2*d*f^2 + 6*a*b^2*c*d^2*f + (c^2*d*f^2 + d^3)*b^3)*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))/f^4 - 1/2*((3*a^2*b*d^3 + b^3*d^3)*f^4*x^4 + 4*(3*a^2*b*c*d^2*f + b^3*c*d^2*f + 3*a*b^2*d^3)*f^3*x^3 + 6*(3*a^2*b*c^2*d*f^2 + 6*a*b^2*c*d^2*f + (c^2*d*f^2 + d^3)*b^3)*f^2*x^2)/f^4","B",0
64,1,869,0,0.967283," ","integrate((d*x+c)^2*(a+b*tanh(f*x+e))^3,x, algorithm=""maxima"")","\frac{1}{3} \, a^{3} d^{2} x^{3} + a^{3} c d x^{2} + b^{3} c^{2} {\left(x + \frac{e}{f} + \frac{\log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{f} + \frac{2 \, e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}\right)} + a^{3} c^{2} x + \frac{3 \, a^{2} b c^{2} \log\left(\cosh\left(f x + e\right)\right)}{f} + \frac{18 \, a b^{2} c^{2} f + 6 \, b^{3} c d + {\left(3 \, a^{2} b d^{2} f^{2} + 3 \, a b^{2} d^{2} f^{2} + b^{3} d^{2} f^{2}\right)} x^{3} + 3 \, {\left(3 \, a^{2} b c d f^{2} + b^{3} c d f^{2} + 3 \, {\left(c d f^{2} + 2 \, d^{2} f\right)} a b^{2}\right)} x^{2} + 3 \, {\left(2 \, b^{3} d^{2} + 3 \, {\left(c^{2} f^{2} + 4 \, c d f\right)} a b^{2}\right)} x + {\left(9 \, a b^{2} c^{2} f^{2} x e^{\left(4 \, e\right)} + {\left(3 \, a^{2} b d^{2} f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} d^{2} f^{2} e^{\left(4 \, e\right)} + b^{3} d^{2} f^{2} e^{\left(4 \, e\right)}\right)} x^{3} + 3 \, {\left(3 \, a^{2} b c d f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} c d f^{2} e^{\left(4 \, e\right)} + b^{3} c d f^{2} e^{\left(4 \, e\right)}\right)} x^{2}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(9 \, a b^{2} c^{2} f e^{\left(2 \, e\right)} + 3 \, b^{3} c d e^{\left(2 \, e\right)} + {\left(3 \, a^{2} b d^{2} f^{2} e^{\left(2 \, e\right)} + 3 \, a b^{2} d^{2} f^{2} e^{\left(2 \, e\right)} + b^{3} d^{2} f^{2} e^{\left(2 \, e\right)}\right)} x^{3} + 3 \, {\left(3 \, a^{2} b c d f^{2} e^{\left(2 \, e\right)} + 3 \, {\left(c d f^{2} e^{\left(2 \, e\right)} + d^{2} f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(c d f^{2} e^{\left(2 \, e\right)} + d^{2} f e^{\left(2 \, e\right)}\right)} b^{3}\right)} x^{2} + 3 \, {\left(3 \, {\left(c^{2} f^{2} e^{\left(2 \, e\right)} + 2 \, c d f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(2 \, c d f e^{\left(2 \, e\right)} + d^{2} e^{\left(2 \, e\right)}\right)} b^{3}\right)} x\right)} e^{\left(2 \, f x\right)}}{3 \, {\left(f^{2} e^{\left(4 \, f x + 4 \, e\right)} + 2 \, f^{2} e^{\left(2 \, f x + 2 \, e\right)} + f^{2}\right)}} - \frac{2 \, {\left(6 \, a b^{2} c d f + b^{3} d^{2}\right)} x}{f^{2}} + \frac{{\left(3 \, a^{2} b d^{2} + b^{3} d^{2}\right)} {\left(2 \, f^{2} x^{2} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, f x + 2 \, e\right)})\right)}}{2 \, f^{3}} + \frac{{\left(3 \, a^{2} b c d f + b^{3} c d f + 3 \, a b^{2} d^{2}\right)} {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)}}{f^{3}} + \frac{{\left(6 \, a b^{2} c d f + b^{3} d^{2}\right)} \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{f^{3}} - \frac{2 \, {\left({\left(3 \, a^{2} b d^{2} + b^{3} d^{2}\right)} f^{3} x^{3} + 3 \, {\left(3 \, a^{2} b c d f + b^{3} c d f + 3 \, a b^{2} d^{2}\right)} f^{2} x^{2}\right)}}{3 \, f^{3}}"," ",0,"1/3*a^3*d^2*x^3 + a^3*c*d*x^2 + b^3*c^2*(x + e/f + log(e^(-2*f*x - 2*e) + 1)/f + 2*e^(-2*f*x - 2*e)/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))) + a^3*c^2*x + 3*a^2*b*c^2*log(cosh(f*x + e))/f + 1/3*(18*a*b^2*c^2*f + 6*b^3*c*d + (3*a^2*b*d^2*f^2 + 3*a*b^2*d^2*f^2 + b^3*d^2*f^2)*x^3 + 3*(3*a^2*b*c*d*f^2 + b^3*c*d*f^2 + 3*(c*d*f^2 + 2*d^2*f)*a*b^2)*x^2 + 3*(2*b^3*d^2 + 3*(c^2*f^2 + 4*c*d*f)*a*b^2)*x + (9*a*b^2*c^2*f^2*x*e^(4*e) + (3*a^2*b*d^2*f^2*e^(4*e) + 3*a*b^2*d^2*f^2*e^(4*e) + b^3*d^2*f^2*e^(4*e))*x^3 + 3*(3*a^2*b*c*d*f^2*e^(4*e) + 3*a*b^2*c*d*f^2*e^(4*e) + b^3*c*d*f^2*e^(4*e))*x^2)*e^(4*f*x) + 2*(9*a*b^2*c^2*f*e^(2*e) + 3*b^3*c*d*e^(2*e) + (3*a^2*b*d^2*f^2*e^(2*e) + 3*a*b^2*d^2*f^2*e^(2*e) + b^3*d^2*f^2*e^(2*e))*x^3 + 3*(3*a^2*b*c*d*f^2*e^(2*e) + 3*(c*d*f^2*e^(2*e) + d^2*f*e^(2*e))*a*b^2 + (c*d*f^2*e^(2*e) + d^2*f*e^(2*e))*b^3)*x^2 + 3*(3*(c^2*f^2*e^(2*e) + 2*c*d*f*e^(2*e))*a*b^2 + (2*c*d*f*e^(2*e) + d^2*e^(2*e))*b^3)*x)*e^(2*f*x))/(f^2*e^(4*f*x + 4*e) + 2*f^2*e^(2*f*x + 2*e) + f^2) - 2*(6*a*b^2*c*d*f + b^3*d^2)*x/f^2 + 1/2*(3*a^2*b*d^2 + b^3*d^2)*(2*f^2*x^2*log(e^(2*f*x + 2*e) + 1) + 2*f*x*dilog(-e^(2*f*x + 2*e)) - polylog(3, -e^(2*f*x + 2*e)))/f^3 + (3*a^2*b*c*d*f + b^3*c*d*f + 3*a*b^2*d^2)*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))/f^3 + (6*a*b^2*c*d*f + b^3*d^2)*log(e^(2*f*x + 2*e) + 1)/f^3 - 2/3*((3*a^2*b*d^2 + b^3*d^2)*f^3*x^3 + 3*(3*a^2*b*c*d*f + b^3*c*d*f + 3*a*b^2*d^2)*f^2*x^2)/f^3","B",0
65,1,475,0,0.620079," ","integrate((d*x+c)*(a+b*tanh(f*x+e))^3,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} d x^{2} + b^{3} c {\left(x + \frac{e}{f} + \frac{\log\left(e^{\left(-2 \, f x - 2 \, e\right)} + 1\right)}{f} + \frac{2 \, e^{\left(-2 \, f x - 2 \, e\right)}}{f {\left(2 \, e^{\left(-2 \, f x - 2 \, e\right)} + e^{\left(-4 \, f x - 4 \, e\right)} + 1\right)}}\right)} + a^{3} c x - \frac{6 \, a b^{2} d x}{f} + \frac{3 \, a^{2} b c \log\left(\cosh\left(f x + e\right)\right)}{f} - {\left(3 \, a^{2} b d + b^{3} d\right)} x^{2} + \frac{3 \, a b^{2} d \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right)}{f^{2}} + \frac{12 \, a b^{2} c f + 6 \, {\left(c f^{2} + 2 \, d f\right)} a b^{2} x + 2 \, b^{3} d + {\left(3 \, a^{2} b d f^{2} + 3 \, a b^{2} d f^{2} + b^{3} d f^{2}\right)} x^{2} + {\left(6 \, a b^{2} c f^{2} x e^{\left(4 \, e\right)} + {\left(3 \, a^{2} b d f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} d f^{2} e^{\left(4 \, e\right)} + b^{3} d f^{2} e^{\left(4 \, e\right)}\right)} x^{2}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(6 \, a b^{2} c f e^{\left(2 \, e\right)} + b^{3} d e^{\left(2 \, e\right)} + {\left(3 \, a^{2} b d f^{2} e^{\left(2 \, e\right)} + 3 \, a b^{2} d f^{2} e^{\left(2 \, e\right)} + b^{3} d f^{2} e^{\left(2 \, e\right)}\right)} x^{2} + 2 \, {\left(b^{3} d f e^{\left(2 \, e\right)} + 3 \, {\left(c f^{2} e^{\left(2 \, e\right)} + d f e^{\left(2 \, e\right)}\right)} a b^{2}\right)} x\right)} e^{\left(2 \, f x\right)}}{2 \, {\left(f^{2} e^{\left(4 \, f x + 4 \, e\right)} + 2 \, f^{2} e^{\left(2 \, f x + 2 \, e\right)} + f^{2}\right)}} + \frac{{\left(3 \, a^{2} b d + b^{3} d\right)} {\left(2 \, f x \log\left(e^{\left(2 \, f x + 2 \, e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, f x + 2 \, e\right)}\right)\right)}}{2 \, f^{2}}"," ",0,"1/2*a^3*d*x^2 + b^3*c*(x + e/f + log(e^(-2*f*x - 2*e) + 1)/f + 2*e^(-2*f*x - 2*e)/(f*(2*e^(-2*f*x - 2*e) + e^(-4*f*x - 4*e) + 1))) + a^3*c*x - 6*a*b^2*d*x/f + 3*a^2*b*c*log(cosh(f*x + e))/f - (3*a^2*b*d + b^3*d)*x^2 + 3*a*b^2*d*log(e^(2*f*x + 2*e) + 1)/f^2 + 1/2*(12*a*b^2*c*f + 6*(c*f^2 + 2*d*f)*a*b^2*x + 2*b^3*d + (3*a^2*b*d*f^2 + 3*a*b^2*d*f^2 + b^3*d*f^2)*x^2 + (6*a*b^2*c*f^2*x*e^(4*e) + (3*a^2*b*d*f^2*e^(4*e) + 3*a*b^2*d*f^2*e^(4*e) + b^3*d*f^2*e^(4*e))*x^2)*e^(4*f*x) + 2*(6*a*b^2*c*f*e^(2*e) + b^3*d*e^(2*e) + (3*a^2*b*d*f^2*e^(2*e) + 3*a*b^2*d*f^2*e^(2*e) + b^3*d*f^2*e^(2*e))*x^2 + 2*(b^3*d*f*e^(2*e) + 3*(c*f^2*e^(2*e) + d*f*e^(2*e))*a*b^2)*x)*e^(2*f*x))/(f^2*e^(4*f*x + 4*e) + 2*f^2*e^(2*f*x + 2*e) + f^2) + 1/2*(3*a^2*b*d + b^3*d)*(2*f*x*log(e^(2*f*x + 2*e) + 1) + dilog(-e^(2*f*x + 2*e)))/f^2","A",0
66,0,0,0,0.000000," ","integrate((a+b*tanh(f*x+e))^3/(d*x+c),x, algorithm=""maxima"")","\frac{a^{3} \log\left(d x + c\right)}{d} + \frac{{\left(3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \log\left(d x + c\right)}{d} + \frac{6 \, a b^{2} d f x + 6 \, a b^{2} c f - b^{3} d + {\left(6 \, a b^{2} c f e^{\left(2 \, e\right)} + {\left(2 \, c f e^{\left(2 \, e\right)} - d e^{\left(2 \, e\right)}\right)} b^{3} + 2 \, {\left(3 \, a b^{2} d f e^{\left(2 \, e\right)} + b^{3} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}{d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} + {\left(d^{2} f^{2} x^{2} e^{\left(4 \, e\right)} + 2 \, c d f^{2} x e^{\left(4 \, e\right)} + c^{2} f^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + 2 \, c d f^{2} x e^{\left(2 \, e\right)} + c^{2} f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}} - \int \frac{2 \, {\left(3 \, a^{2} b c^{2} f^{2} - 3 \, a b^{2} c d f + {\left(c^{2} f^{2} + d^{2}\right)} b^{3} + {\left(3 \, a^{2} b d^{2} f^{2} + b^{3} d^{2} f^{2}\right)} x^{2} + {\left(6 \, a^{2} b c d f^{2} + 2 \, b^{3} c d f^{2} - 3 \, a b^{2} d^{2} f\right)} x\right)}}{d^{3} f^{2} x^{3} + 3 \, c d^{2} f^{2} x^{2} + 3 \, c^{2} d f^{2} x + c^{3} f^{2} + {\left(d^{3} f^{2} x^{3} e^{\left(2 \, e\right)} + 3 \, c d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d f^{2} x e^{\left(2 \, e\right)} + c^{3} f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"a^3*log(d*x + c)/d + (3*a^2*b + 3*a*b^2 + b^3)*log(d*x + c)/d + (6*a*b^2*d*f*x + 6*a*b^2*c*f - b^3*d + (6*a*b^2*c*f*e^(2*e) + (2*c*f*e^(2*e) - d*e^(2*e))*b^3 + 2*(3*a*b^2*d*f*e^(2*e) + b^3*d*f*e^(2*e))*x)*e^(2*f*x))/(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 + (d^2*f^2*x^2*e^(4*e) + 2*c*d*f^2*x*e^(4*e) + c^2*f^2*e^(4*e))*e^(4*f*x) + 2*(d^2*f^2*x^2*e^(2*e) + 2*c*d*f^2*x*e^(2*e) + c^2*f^2*e^(2*e))*e^(2*f*x)) - integrate(2*(3*a^2*b*c^2*f^2 - 3*a*b^2*c*d*f + (c^2*f^2 + d^2)*b^3 + (3*a^2*b*d^2*f^2 + b^3*d^2*f^2)*x^2 + (6*a^2*b*c*d*f^2 + 2*b^3*c*d*f^2 - 3*a*b^2*d^2*f)*x)/(d^3*f^2*x^3 + 3*c*d^2*f^2*x^2 + 3*c^2*d*f^2*x + c^3*f^2 + (d^3*f^2*x^3*e^(2*e) + 3*c*d^2*f^2*x^2*e^(2*e) + 3*c^2*d*f^2*x*e^(2*e) + c^3*f^2*e^(2*e))*e^(2*f*x)), x)","F",0
67,0,0,0,0.000000," ","integrate((a+b*tanh(f*x+e))^3/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{a^{3}}{d^{2} x + c d} - \frac{3 \, a^{2} b c^{2} f^{2} + 3 \, {\left(c^{2} f^{2} - 2 \, c d f\right)} a b^{2} + {\left(c^{2} f^{2} + 2 \, d^{2}\right)} b^{3} + {\left(3 \, a^{2} b d^{2} f^{2} + 3 \, a b^{2} d^{2} f^{2} + b^{3} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(3 \, a^{2} b c d f^{2} + b^{3} c d f^{2} + 3 \, {\left(c d f^{2} - d^{2} f\right)} a b^{2}\right)} x + {\left(3 \, a^{2} b c^{2} f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} c^{2} f^{2} e^{\left(4 \, e\right)} + b^{3} c^{2} f^{2} e^{\left(4 \, e\right)} + {\left(3 \, a^{2} b d^{2} f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} d^{2} f^{2} e^{\left(4 \, e\right)} + b^{3} d^{2} f^{2} e^{\left(4 \, e\right)}\right)} x^{2} + 2 \, {\left(3 \, a^{2} b c d f^{2} e^{\left(4 \, e\right)} + 3 \, a b^{2} c d f^{2} e^{\left(4 \, e\right)} + b^{3} c d f^{2} e^{\left(4 \, e\right)}\right)} x\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(3 \, a^{2} b c^{2} f^{2} e^{\left(2 \, e\right)} + 3 \, {\left(c^{2} f^{2} e^{\left(2 \, e\right)} - c d f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(c^{2} f^{2} e^{\left(2 \, e\right)} - c d f e^{\left(2 \, e\right)} + d^{2} e^{\left(2 \, e\right)}\right)} b^{3} + {\left(3 \, a^{2} b d^{2} f^{2} e^{\left(2 \, e\right)} + 3 \, a b^{2} d^{2} f^{2} e^{\left(2 \, e\right)} + b^{3} d^{2} f^{2} e^{\left(2 \, e\right)}\right)} x^{2} + {\left(6 \, a^{2} b c d f^{2} e^{\left(2 \, e\right)} + 3 \, {\left(2 \, c d f^{2} e^{\left(2 \, e\right)} - d^{2} f e^{\left(2 \, e\right)}\right)} a b^{2} + {\left(2 \, c d f^{2} e^{\left(2 \, e\right)} - d^{2} f e^{\left(2 \, e\right)}\right)} b^{3}\right)} x\right)} e^{\left(2 \, f x\right)}}{d^{4} f^{2} x^{3} + 3 \, c d^{3} f^{2} x^{2} + 3 \, c^{2} d^{2} f^{2} x + c^{3} d f^{2} + {\left(d^{4} f^{2} x^{3} e^{\left(4 \, e\right)} + 3 \, c d^{3} f^{2} x^{2} e^{\left(4 \, e\right)} + 3 \, c^{2} d^{2} f^{2} x e^{\left(4 \, e\right)} + c^{3} d f^{2} e^{\left(4 \, e\right)}\right)} e^{\left(4 \, f x\right)} + 2 \, {\left(d^{4} f^{2} x^{3} e^{\left(2 \, e\right)} + 3 \, c d^{3} f^{2} x^{2} e^{\left(2 \, e\right)} + 3 \, c^{2} d^{2} f^{2} x e^{\left(2 \, e\right)} + c^{3} d f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}} - \int \frac{2 \, {\left(3 \, a^{2} b c^{2} f^{2} - 6 \, a b^{2} c d f + {\left(c^{2} f^{2} + 3 \, d^{2}\right)} b^{3} + {\left(3 \, a^{2} b d^{2} f^{2} + b^{3} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(3 \, a^{2} b c d f^{2} + b^{3} c d f^{2} - 3 \, a b^{2} d^{2} f\right)} x\right)}}{d^{4} f^{2} x^{4} + 4 \, c d^{3} f^{2} x^{3} + 6 \, c^{2} d^{2} f^{2} x^{2} + 4 \, c^{3} d f^{2} x + c^{4} f^{2} + {\left(d^{4} f^{2} x^{4} e^{\left(2 \, e\right)} + 4 \, c d^{3} f^{2} x^{3} e^{\left(2 \, e\right)} + 6 \, c^{2} d^{2} f^{2} x^{2} e^{\left(2 \, e\right)} + 4 \, c^{3} d f^{2} x e^{\left(2 \, e\right)} + c^{4} f^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"-a^3/(d^2*x + c*d) - (3*a^2*b*c^2*f^2 + 3*(c^2*f^2 - 2*c*d*f)*a*b^2 + (c^2*f^2 + 2*d^2)*b^3 + (3*a^2*b*d^2*f^2 + 3*a*b^2*d^2*f^2 + b^3*d^2*f^2)*x^2 + 2*(3*a^2*b*c*d*f^2 + b^3*c*d*f^2 + 3*(c*d*f^2 - d^2*f)*a*b^2)*x + (3*a^2*b*c^2*f^2*e^(4*e) + 3*a*b^2*c^2*f^2*e^(4*e) + b^3*c^2*f^2*e^(4*e) + (3*a^2*b*d^2*f^2*e^(4*e) + 3*a*b^2*d^2*f^2*e^(4*e) + b^3*d^2*f^2*e^(4*e))*x^2 + 2*(3*a^2*b*c*d*f^2*e^(4*e) + 3*a*b^2*c*d*f^2*e^(4*e) + b^3*c*d*f^2*e^(4*e))*x)*e^(4*f*x) + 2*(3*a^2*b*c^2*f^2*e^(2*e) + 3*(c^2*f^2*e^(2*e) - c*d*f*e^(2*e))*a*b^2 + (c^2*f^2*e^(2*e) - c*d*f*e^(2*e) + d^2*e^(2*e))*b^3 + (3*a^2*b*d^2*f^2*e^(2*e) + 3*a*b^2*d^2*f^2*e^(2*e) + b^3*d^2*f^2*e^(2*e))*x^2 + (6*a^2*b*c*d*f^2*e^(2*e) + 3*(2*c*d*f^2*e^(2*e) - d^2*f*e^(2*e))*a*b^2 + (2*c*d*f^2*e^(2*e) - d^2*f*e^(2*e))*b^3)*x)*e^(2*f*x))/(d^4*f^2*x^3 + 3*c*d^3*f^2*x^2 + 3*c^2*d^2*f^2*x + c^3*d*f^2 + (d^4*f^2*x^3*e^(4*e) + 3*c*d^3*f^2*x^2*e^(4*e) + 3*c^2*d^2*f^2*x*e^(4*e) + c^3*d*f^2*e^(4*e))*e^(4*f*x) + 2*(d^4*f^2*x^3*e^(2*e) + 3*c*d^3*f^2*x^2*e^(2*e) + 3*c^2*d^2*f^2*x*e^(2*e) + c^3*d*f^2*e^(2*e))*e^(2*f*x)) - integrate(2*(3*a^2*b*c^2*f^2 - 6*a*b^2*c*d*f + (c^2*f^2 + 3*d^2)*b^3 + (3*a^2*b*d^2*f^2 + b^3*d^2*f^2)*x^2 + 2*(3*a^2*b*c*d*f^2 + b^3*c*d*f^2 - 3*a*b^2*d^2*f)*x)/(d^4*f^2*x^4 + 4*c*d^3*f^2*x^3 + 6*c^2*d^2*f^2*x^2 + 4*c^3*d*f^2*x + c^4*f^2 + (d^4*f^2*x^4*e^(2*e) + 4*c*d^3*f^2*x^3*e^(2*e) + 6*c^2*d^2*f^2*x^2*e^(2*e) + 4*c^3*d*f^2*x*e^(2*e) + c^4*f^2*e^(2*e))*e^(2*f*x)), x)","F",0
68,1,528,0,0.697056," ","integrate((d*x+c)^3/(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","-\frac{3 \, {\left(2 \, f x \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right)\right)} b c^{2} d}{2 \, {\left(a^{2} f^{2} - b^{2} f^{2}\right)}} - \frac{3 \, {\left(2 \, f^{2} x^{2} \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + 2 \, f x {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right) - {\rm Li}_{3}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b})\right)} b c d^{2}}{2 \, {\left(a^{2} f^{3} - b^{2} f^{3}\right)}} - \frac{{\left(4 \, f^{3} x^{3} \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right) - 6 \, f x {\rm Li}_{3}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}) + 3 \, {\rm Li}_{4}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b})\right)} b d^{3}}{3 \, {\left(a^{2} f^{4} - b^{2} f^{4}\right)}} - c^{3} {\left(\frac{b \log\left(-{\left(a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} - a - b\right)}{{\left(a^{2} - b^{2}\right)} f} - \frac{f x + e}{{\left(a + b\right)} f}\right)} + \frac{b d^{3} f^{4} x^{4} + 4 \, b c d^{2} f^{4} x^{3} + 6 \, b c^{2} d f^{4} x^{2}}{2 \, {\left(a^{2} f^{4} - b^{2} f^{4}\right)}} + \frac{d^{3} x^{4} + 4 \, c d^{2} x^{3} + 6 \, c^{2} d x^{2}}{4 \, {\left(a + b\right)}}"," ",0,"-3/2*(2*f*x*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*b*c^2*d/(a^2*f^2 - b^2*f^2) - 3/2*(2*f^2*x^2*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + 2*f*x*dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) - polylog(3, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*b*c*d^2/(a^2*f^3 - b^2*f^3) - 1/3*(4*f^3*x^3*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + 6*f^2*x^2*dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) - 6*f*x*polylog(3, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) + 3*polylog(4, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*b*d^3/(a^2*f^4 - b^2*f^4) - c^3*(b*log(-(a - b)*e^(-2*f*x - 2*e) - a - b)/((a^2 - b^2)*f) - (f*x + e)/((a + b)*f)) + 1/2*(b*d^3*f^4*x^4 + 4*b*c*d^2*f^4*x^3 + 6*b*c^2*d*f^4*x^2)/(a^2*f^4 - b^2*f^4) + 1/4*(d^3*x^4 + 4*c*d^2*x^3 + 6*c^2*d*x^2)/(a + b)","B",0
69,1,337,0,0.865134," ","integrate((d*x+c)^2/(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","-\frac{{\left(2 \, f x \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right)\right)} b c d}{a^{2} f^{2} - b^{2} f^{2}} - \frac{{\left(2 \, f^{2} x^{2} \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + 2 \, f x {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right) - {\rm Li}_{3}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b})\right)} b d^{2}}{2 \, {\left(a^{2} f^{3} - b^{2} f^{3}\right)}} - c^{2} {\left(\frac{b \log\left(-{\left(a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} - a - b\right)}{{\left(a^{2} - b^{2}\right)} f} - \frac{f x + e}{{\left(a + b\right)} f}\right)} + \frac{2 \, {\left(b d^{2} f^{3} x^{3} + 3 \, b c d f^{3} x^{2}\right)}}{3 \, {\left(a^{2} f^{3} - b^{2} f^{3}\right)}} + \frac{d^{2} x^{3} + 3 \, c d x^{2}}{3 \, {\left(a + b\right)}}"," ",0,"-(2*f*x*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*b*c*d/(a^2*f^2 - b^2*f^2) - 1/2*(2*f^2*x^2*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + 2*f*x*dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) - polylog(3, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*b*d^2/(a^2*f^3 - b^2*f^3) - c^2*(b*log(-(a - b)*e^(-2*f*x - 2*e) - a - b)/((a^2 - b^2)*f) - (f*x + e)/((a + b)*f)) + 2/3*(b*d^2*f^3*x^3 + 3*b*c*d*f^3*x^2)/(a^2*f^3 - b^2*f^3) + 1/3*(d^2*x^3 + 3*c*d*x^2)/(a + b)","B",0
70,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(4 \, b \int \frac{x}{a^{2} - b^{2} + {\left(a^{2} e^{\left(2 \, e\right)} + 2 \, a b e^{\left(2 \, e\right)} + b^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\,{d x} + \frac{x^{2}}{a + b}\right)} d - c {\left(\frac{b \log\left(-{\left(a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} - a - b\right)}{{\left(a^{2} - b^{2}\right)} f} - \frac{f x + e}{{\left(a + b\right)} f}\right)}"," ",0,"1/2*(4*b*integrate(x/(a^2 - b^2 + (a^2*e^(2*e) + 2*a*b*e^(2*e) + b^2*e^(2*e))*e^(2*f*x)), x) + x^2/(a + b))*d - c*(b*log(-(a - b)*e^(-2*f*x - 2*e) - a - b)/((a^2 - b^2)*f) - (f*x + e)/((a + b)*f))","F",0
71,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","2 \, b \int \frac{1}{a^{2} c - b^{2} c + {\left(a^{2} d - b^{2} d\right)} x + {\left(a^{2} c e^{\left(2 \, e\right)} + 2 \, a b c e^{\left(2 \, e\right)} + b^{2} c e^{\left(2 \, e\right)} + {\left(a^{2} d e^{\left(2 \, e\right)} + 2 \, a b d e^{\left(2 \, e\right)} + b^{2} d e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}\,{d x} + \frac{\log\left(d x + c\right)}{a d + b d}"," ",0,"2*b*integrate(1/(a^2*c - b^2*c + (a^2*d - b^2*d)*x + (a^2*c*e^(2*e) + 2*a*b*c*e^(2*e) + b^2*c*e^(2*e) + (a^2*d*e^(2*e) + 2*a*b*d*e^(2*e) + b^2*d*e^(2*e))*x)*e^(2*f*x)), x) + log(d*x + c)/(a*d + b*d)","F",0
72,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*tanh(f*x+e)),x, algorithm=""maxima"")","2 \, b \int \frac{1}{a^{2} c^{2} - b^{2} c^{2} + {\left(a^{2} d^{2} - b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a^{2} c d - b^{2} c d\right)} x + {\left(a^{2} c^{2} e^{\left(2 \, e\right)} + 2 \, a b c^{2} e^{\left(2 \, e\right)} + b^{2} c^{2} e^{\left(2 \, e\right)} + {\left(a^{2} d^{2} e^{\left(2 \, e\right)} + 2 \, a b d^{2} e^{\left(2 \, e\right)} + b^{2} d^{2} e^{\left(2 \, e\right)}\right)} x^{2} + 2 \, {\left(a^{2} c d e^{\left(2 \, e\right)} + 2 \, a b c d e^{\left(2 \, e\right)} + b^{2} c d e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}\,{d x} - \frac{1}{a c d + b c d + {\left(a d^{2} + b d^{2}\right)} x}"," ",0,"2*b*integrate(1/(a^2*c^2 - b^2*c^2 + (a^2*d^2 - b^2*d^2)*x^2 + 2*(a^2*c*d - b^2*c*d)*x + (a^2*c^2*e^(2*e) + 2*a*b*c^2*e^(2*e) + b^2*c^2*e^(2*e) + (a^2*d^2*e^(2*e) + 2*a*b*d^2*e^(2*e) + b^2*d^2*e^(2*e))*x^2 + 2*(a^2*c*d*e^(2*e) + 2*a*b*c*d*e^(2*e) + b^2*c*d*e^(2*e))*x)*e^(2*f*x)), x) - 1/(a*c*d + b*c*d + (a*d^2 + b*d^2)*x)","F",0
73,1,1060,0,1.864216," ","integrate((d*x+c)^3/(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{6 \, b^{2} c^{2} d f x}{a^{4} f^{2} - 2 \, a^{2} b^{2} f^{2} + b^{4} f^{2}} - \frac{2 \, {\left(4 \, f^{3} x^{3} \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + 6 \, f^{2} x^{2} {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right) - 6 \, f x {\rm Li}_{3}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}) + 3 \, {\rm Li}_{4}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b})\right)} a b d^{3}}{3 \, {\left(a^{4} f^{4} - 2 \, a^{2} b^{2} f^{4} + b^{4} f^{4}\right)}} + \frac{3 \, b^{2} c^{2} d \log\left({\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + a - b\right)}{a^{4} f^{2} - 2 \, a^{2} b^{2} f^{2} + b^{4} f^{2}} - c^{3} {\left(\frac{2 \, a b \log\left(-{\left(a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} - a - b\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} f} + \frac{2 \, b^{2}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)}\right)} f} - \frac{f x + e}{{\left(a^{2} + 2 \, a b + b^{2}\right)} f}\right)} - \frac{3 \, {\left(2 \, a b c d^{2} f - b^{2} d^{3}\right)} {\left(2 \, f^{2} x^{2} \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + 2 \, f x {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right) - {\rm Li}_{3}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b})\right)}}{2 \, {\left(a^{4} f^{4} - 2 \, a^{2} b^{2} f^{4} + b^{4} f^{4}\right)}} - \frac{3 \, {\left(a b c^{2} d f - b^{2} c d^{2}\right)} {\left(2 \, f x \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right)\right)}}{a^{4} f^{3} - 2 \, a^{2} b^{2} f^{3} + b^{4} f^{3}} + \frac{a b d^{3} f^{4} x^{4} + 2 \, {\left(2 \, a b c d^{2} f - b^{2} d^{3}\right)} f^{3} x^{3} + 6 \, {\left(a b c^{2} d f^{2} - b^{2} c d^{2} f\right)} f^{2} x^{2}}{a^{4} f^{4} - 2 \, a^{2} b^{2} f^{4} + b^{4} f^{4}} + \frac{24 \, b^{2} c^{2} d x + {\left(a^{2} d^{3} f - 2 \, a b d^{3} f + b^{2} d^{3} f\right)} x^{4} + 4 \, {\left(a^{2} c d^{2} f - 2 \, a b c d^{2} f + {\left(c d^{2} f + 2 \, d^{3}\right)} b^{2}\right)} x^{3} + 6 \, {\left(a^{2} c^{2} d f - 2 \, a b c^{2} d f + {\left(c^{2} d f + 4 \, c d^{2}\right)} b^{2}\right)} x^{2} + {\left({\left(a^{2} d^{3} f e^{\left(2 \, e\right)} - b^{2} d^{3} f e^{\left(2 \, e\right)}\right)} x^{4} + 4 \, {\left(a^{2} c d^{2} f e^{\left(2 \, e\right)} - b^{2} c d^{2} f e^{\left(2 \, e\right)}\right)} x^{3} + 6 \, {\left(a^{2} c^{2} d f e^{\left(2 \, e\right)} - b^{2} c^{2} d f e^{\left(2 \, e\right)}\right)} x^{2}\right)} e^{\left(2 \, f x\right)}}{4 \, {\left(a^{4} f - 2 \, a^{2} b^{2} f + b^{4} f + {\left(a^{4} f e^{\left(2 \, e\right)} + 2 \, a^{3} b f e^{\left(2 \, e\right)} - 2 \, a b^{3} f e^{\left(2 \, e\right)} - b^{4} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}\right)}}"," ",0,"-6*b^2*c^2*d*f*x/(a^4*f^2 - 2*a^2*b^2*f^2 + b^4*f^2) - 2/3*(4*f^3*x^3*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + 6*f^2*x^2*dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) - 6*f*x*polylog(3, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) + 3*polylog(4, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*a*b*d^3/(a^4*f^4 - 2*a^2*b^2*f^4 + b^4*f^4) + 3*b^2*c^2*d*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x) + a - b)/(a^4*f^2 - 2*a^2*b^2*f^2 + b^4*f^2) - c^3*(2*a*b*log(-(a - b)*e^(-2*f*x - 2*e) - a - b)/((a^4 - 2*a^2*b^2 + b^4)*f) + 2*b^2/((a^4 - 2*a^2*b^2 + b^4 + (a^4 - 2*a^3*b + 2*a*b^3 - b^4)*e^(-2*f*x - 2*e))*f) - (f*x + e)/((a^2 + 2*a*b + b^2)*f)) - 3/2*(2*a*b*c*d^2*f - b^2*d^3)*(2*f^2*x^2*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + 2*f*x*dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) - polylog(3, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))/(a^4*f^4 - 2*a^2*b^2*f^4 + b^4*f^4) - 3*(a*b*c^2*d*f - b^2*c*d^2)*(2*f*x*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))/(a^4*f^3 - 2*a^2*b^2*f^3 + b^4*f^3) + (a*b*d^3*f^4*x^4 + 2*(2*a*b*c*d^2*f - b^2*d^3)*f^3*x^3 + 6*(a*b*c^2*d*f^2 - b^2*c*d^2*f)*f^2*x^2)/(a^4*f^4 - 2*a^2*b^2*f^4 + b^4*f^4) + 1/4*(24*b^2*c^2*d*x + (a^2*d^3*f - 2*a*b*d^3*f + b^2*d^3*f)*x^4 + 4*(a^2*c*d^2*f - 2*a*b*c*d^2*f + (c*d^2*f + 2*d^3)*b^2)*x^3 + 6*(a^2*c^2*d*f - 2*a*b*c^2*d*f + (c^2*d*f + 4*c*d^2)*b^2)*x^2 + ((a^2*d^3*f*e^(2*e) - b^2*d^3*f*e^(2*e))*x^4 + 4*(a^2*c*d^2*f*e^(2*e) - b^2*c*d^2*f*e^(2*e))*x^3 + 6*(a^2*c^2*d*f*e^(2*e) - b^2*c^2*d*f*e^(2*e))*x^2)*e^(2*f*x))/(a^4*f - 2*a^2*b^2*f + b^4*f + (a^4*f*e^(2*e) + 2*a^3*b*f*e^(2*e) - 2*a*b^3*f*e^(2*e) - b^4*f*e^(2*e))*e^(2*f*x))","A",0
74,1,753,0,1.924739," ","integrate((d*x+c)^2/(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{4 \, b^{2} c d f x}{a^{4} f^{2} - 2 \, a^{2} b^{2} f^{2} + b^{4} f^{2}} - \frac{{\left(2 \, f^{2} x^{2} \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + 2 \, f x {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right) - {\rm Li}_{3}(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b})\right)} a b d^{2}}{a^{4} f^{3} - 2 \, a^{2} b^{2} f^{3} + b^{4} f^{3}} + \frac{2 \, b^{2} c d \log\left({\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + a - b\right)}{a^{4} f^{2} - 2 \, a^{2} b^{2} f^{2} + b^{4} f^{2}} - c^{2} {\left(\frac{2 \, a b \log\left(-{\left(a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} - a - b\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} f} + \frac{2 \, b^{2}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)}\right)} f} - \frac{f x + e}{{\left(a^{2} + 2 \, a b + b^{2}\right)} f}\right)} - \frac{{\left(2 \, a b c d f - b^{2} d^{2}\right)} {\left(2 \, f x \log\left(\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b} + 1\right) + {\rm Li}_2\left(-\frac{{\left(a e^{\left(2 \, e\right)} + b e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{a - b}\right)\right)}}{a^{4} f^{3} - 2 \, a^{2} b^{2} f^{3} + b^{4} f^{3}} + \frac{2 \, {\left(2 \, a b d^{2} f^{3} x^{3} + 3 \, {\left(2 \, a b c d f - b^{2} d^{2}\right)} f^{2} x^{2}\right)}}{3 \, {\left(a^{4} f^{3} - 2 \, a^{2} b^{2} f^{3} + b^{4} f^{3}\right)}} + \frac{12 \, b^{2} c d x + {\left(a^{2} d^{2} f - 2 \, a b d^{2} f + b^{2} d^{2} f\right)} x^{3} + 3 \, {\left(a^{2} c d f - 2 \, a b c d f + {\left(c d f + 2 \, d^{2}\right)} b^{2}\right)} x^{2} + {\left({\left(a^{2} d^{2} f e^{\left(2 \, e\right)} - b^{2} d^{2} f e^{\left(2 \, e\right)}\right)} x^{3} + 3 \, {\left(a^{2} c d f e^{\left(2 \, e\right)} - b^{2} c d f e^{\left(2 \, e\right)}\right)} x^{2}\right)} e^{\left(2 \, f x\right)}}{3 \, {\left(a^{4} f - 2 \, a^{2} b^{2} f + b^{4} f + {\left(a^{4} f e^{\left(2 \, e\right)} + 2 \, a^{3} b f e^{\left(2 \, e\right)} - 2 \, a b^{3} f e^{\left(2 \, e\right)} - b^{4} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}\right)}}"," ",0,"-4*b^2*c*d*f*x/(a^4*f^2 - 2*a^2*b^2*f^2 + b^4*f^2) - (2*f^2*x^2*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + 2*f*x*dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)) - polylog(3, -(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))*a*b*d^2/(a^4*f^3 - 2*a^2*b^2*f^3 + b^4*f^3) + 2*b^2*c*d*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x) + a - b)/(a^4*f^2 - 2*a^2*b^2*f^2 + b^4*f^2) - c^2*(2*a*b*log(-(a - b)*e^(-2*f*x - 2*e) - a - b)/((a^4 - 2*a^2*b^2 + b^4)*f) + 2*b^2/((a^4 - 2*a^2*b^2 + b^4 + (a^4 - 2*a^3*b + 2*a*b^3 - b^4)*e^(-2*f*x - 2*e))*f) - (f*x + e)/((a^2 + 2*a*b + b^2)*f)) - (2*a*b*c*d*f - b^2*d^2)*(2*f*x*log((a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b) + 1) + dilog(-(a*e^(2*e) + b*e^(2*e))*e^(2*f*x)/(a - b)))/(a^4*f^3 - 2*a^2*b^2*f^3 + b^4*f^3) + 2/3*(2*a*b*d^2*f^3*x^3 + 3*(2*a*b*c*d*f - b^2*d^2)*f^2*x^2)/(a^4*f^3 - 2*a^2*b^2*f^3 + b^4*f^3) + 1/3*(12*b^2*c*d*x + (a^2*d^2*f - 2*a*b*d^2*f + b^2*d^2*f)*x^3 + 3*(a^2*c*d*f - 2*a*b*c*d*f + (c*d*f + 2*d^2)*b^2)*x^2 + ((a^2*d^2*f*e^(2*e) - b^2*d^2*f*e^(2*e))*x^3 + 3*(a^2*c*d*f*e^(2*e) - b^2*c*d*f*e^(2*e))*x^2)*e^(2*f*x))/(a^4*f - 2*a^2*b^2*f + b^4*f + (a^4*f*e^(2*e) + 2*a^3*b*f*e^(2*e) - 2*a*b^3*f*e^(2*e) - b^4*f*e^(2*e))*e^(2*f*x))","A",0
75,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(8 \, a b f \int \frac{x}{a^{4} f e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a^{3} b f e^{\left(2 \, f x + 2 \, e\right)} - 2 \, a b^{3} f e^{\left(2 \, f x + 2 \, e\right)} - b^{4} f e^{\left(2 \, f x + 2 \, e\right)} + a^{4} f - 2 \, a^{2} b^{2} f + b^{4} f}\,{d x} - 2 \, b^{2} {\left(\frac{2 \, {\left(f x + e\right)}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} f^{2}} - \frac{\log\left({\left(a + b\right)} e^{\left(2 \, f x + 2 \, e\right)} + a - b\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} f^{2}}\right)} + \frac{{\left(a^{2} f e^{\left(2 \, e\right)} - b^{2} f e^{\left(2 \, e\right)}\right)} x^{2} e^{\left(2 \, f x\right)} + 4 \, b^{2} x + {\left(a^{2} f - 2 \, a b f + b^{2} f\right)} x^{2}}{a^{4} f - 2 \, a^{2} b^{2} f + b^{4} f + {\left(a^{4} f e^{\left(2 \, e\right)} + 2 \, a^{3} b f e^{\left(2 \, e\right)} - 2 \, a b^{3} f e^{\left(2 \, e\right)} - b^{4} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}\right)} d - c {\left(\frac{2 \, a b \log\left(-{\left(a - b\right)} e^{\left(-2 \, f x - 2 \, e\right)} - a - b\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} f} + \frac{2 \, b^{2}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, f x - 2 \, e\right)}\right)} f} - \frac{f x + e}{{\left(a^{2} + 2 \, a b + b^{2}\right)} f}\right)}"," ",0,"1/2*(8*a*b*f*integrate(x/(a^4*f*e^(2*f*x + 2*e) + 2*a^3*b*f*e^(2*f*x + 2*e) - 2*a*b^3*f*e^(2*f*x + 2*e) - b^4*f*e^(2*f*x + 2*e) + a^4*f - 2*a^2*b^2*f + b^4*f), x) - 2*b^2*(2*(f*x + e)/((a^4 - 2*a^2*b^2 + b^4)*f^2) - log((a + b)*e^(2*f*x + 2*e) + a - b)/((a^4 - 2*a^2*b^2 + b^4)*f^2)) + ((a^2*f*e^(2*e) - b^2*f*e^(2*e))*x^2*e^(2*f*x) + 4*b^2*x + (a^2*f - 2*a*b*f + b^2*f)*x^2)/(a^4*f - 2*a^2*b^2*f + b^4*f + (a^4*f*e^(2*e) + 2*a^3*b*f*e^(2*e) - 2*a*b^3*f*e^(2*e) - b^4*f*e^(2*e))*e^(2*f*x)))*d - c*(2*a*b*log(-(a - b)*e^(-2*f*x - 2*e) - a - b)/((a^4 - 2*a^2*b^2 + b^4)*f) + 2*b^2/((a^4 - 2*a^2*b^2 + b^4 + (a^4 - 2*a^3*b + 2*a*b^3 - b^4)*e^(-2*f*x - 2*e))*f) - (f*x + e)/((a^2 + 2*a*b + b^2)*f))","F",0
76,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","\frac{2 \, b^{2}}{a^{4} c f - 2 \, a^{2} b^{2} c f + b^{4} c f + {\left(a^{4} d f - 2 \, a^{2} b^{2} d f + b^{4} d f\right)} x + {\left(a^{4} c f e^{\left(2 \, e\right)} + 2 \, a^{3} b c f e^{\left(2 \, e\right)} - 2 \, a b^{3} c f e^{\left(2 \, e\right)} - b^{4} c f e^{\left(2 \, e\right)} + {\left(a^{4} d f e^{\left(2 \, e\right)} + 2 \, a^{3} b d f e^{\left(2 \, e\right)} - 2 \, a b^{3} d f e^{\left(2 \, e\right)} - b^{4} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}} + \frac{\log\left(d x + c\right)}{a^{2} d + 2 \, a b d + b^{2} d} + \int \frac{2 \, {\left(2 \, a b d f x + 2 \, a b c f + b^{2} d\right)}}{a^{4} c^{2} f - 2 \, a^{2} b^{2} c^{2} f + b^{4} c^{2} f + {\left(a^{4} d^{2} f - 2 \, a^{2} b^{2} d^{2} f + b^{4} d^{2} f\right)} x^{2} + 2 \, {\left(a^{4} c d f - 2 \, a^{2} b^{2} c d f + b^{4} c d f\right)} x + {\left(a^{4} c^{2} f e^{\left(2 \, e\right)} + 2 \, a^{3} b c^{2} f e^{\left(2 \, e\right)} - 2 \, a b^{3} c^{2} f e^{\left(2 \, e\right)} - b^{4} c^{2} f e^{\left(2 \, e\right)} + {\left(a^{4} d^{2} f e^{\left(2 \, e\right)} + 2 \, a^{3} b d^{2} f e^{\left(2 \, e\right)} - 2 \, a b^{3} d^{2} f e^{\left(2 \, e\right)} - b^{4} d^{2} f e^{\left(2 \, e\right)}\right)} x^{2} + 2 \, {\left(a^{4} c d f e^{\left(2 \, e\right)} + 2 \, a^{3} b c d f e^{\left(2 \, e\right)} - 2 \, a b^{3} c d f e^{\left(2 \, e\right)} - b^{4} c d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"2*b^2/(a^4*c*f - 2*a^2*b^2*c*f + b^4*c*f + (a^4*d*f - 2*a^2*b^2*d*f + b^4*d*f)*x + (a^4*c*f*e^(2*e) + 2*a^3*b*c*f*e^(2*e) - 2*a*b^3*c*f*e^(2*e) - b^4*c*f*e^(2*e) + (a^4*d*f*e^(2*e) + 2*a^3*b*d*f*e^(2*e) - 2*a*b^3*d*f*e^(2*e) - b^4*d*f*e^(2*e))*x)*e^(2*f*x)) + log(d*x + c)/(a^2*d + 2*a*b*d + b^2*d) + integrate(2*(2*a*b*d*f*x + 2*a*b*c*f + b^2*d)/(a^4*c^2*f - 2*a^2*b^2*c^2*f + b^4*c^2*f + (a^4*d^2*f - 2*a^2*b^2*d^2*f + b^4*d^2*f)*x^2 + 2*(a^4*c*d*f - 2*a^2*b^2*c*d*f + b^4*c*d*f)*x + (a^4*c^2*f*e^(2*e) + 2*a^3*b*c^2*f*e^(2*e) - 2*a*b^3*c^2*f*e^(2*e) - b^4*c^2*f*e^(2*e) + (a^4*d^2*f*e^(2*e) + 2*a^3*b*d^2*f*e^(2*e) - 2*a*b^3*d^2*f*e^(2*e) - b^4*d^2*f*e^(2*e))*x^2 + 2*(a^4*c*d*f*e^(2*e) + 2*a^3*b*c*d*f*e^(2*e) - 2*a*b^3*c*d*f*e^(2*e) - b^4*c*d*f*e^(2*e))*x)*e^(2*f*x)), x)","F",0
77,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*tanh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{a^{2} c f - 2 \, a b c f + {\left(c f - 2 \, d\right)} b^{2} + {\left(a^{2} d f - 2 \, a b d f + b^{2} d f\right)} x + {\left(a^{2} c f e^{\left(2 \, e\right)} - b^{2} c f e^{\left(2 \, e\right)} + {\left(a^{2} d f e^{\left(2 \, e\right)} - b^{2} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}{a^{4} c^{2} d f - 2 \, a^{2} b^{2} c^{2} d f + b^{4} c^{2} d f + {\left(a^{4} d^{3} f - 2 \, a^{2} b^{2} d^{3} f + b^{4} d^{3} f\right)} x^{2} + 2 \, {\left(a^{4} c d^{2} f - 2 \, a^{2} b^{2} c d^{2} f + b^{4} c d^{2} f\right)} x + {\left(a^{4} c^{2} d f e^{\left(2 \, e\right)} + 2 \, a^{3} b c^{2} d f e^{\left(2 \, e\right)} - 2 \, a b^{3} c^{2} d f e^{\left(2 \, e\right)} - b^{4} c^{2} d f e^{\left(2 \, e\right)} + {\left(a^{4} d^{3} f e^{\left(2 \, e\right)} + 2 \, a^{3} b d^{3} f e^{\left(2 \, e\right)} - 2 \, a b^{3} d^{3} f e^{\left(2 \, e\right)} - b^{4} d^{3} f e^{\left(2 \, e\right)}\right)} x^{2} + 2 \, {\left(a^{4} c d^{2} f e^{\left(2 \, e\right)} + 2 \, a^{3} b c d^{2} f e^{\left(2 \, e\right)} - 2 \, a b^{3} c d^{2} f e^{\left(2 \, e\right)} - b^{4} c d^{2} f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}} + \int \frac{4 \, {\left(a b d f x + a b c f + b^{2} d\right)}}{a^{4} c^{3} f - 2 \, a^{2} b^{2} c^{3} f + b^{4} c^{3} f + {\left(a^{4} d^{3} f - 2 \, a^{2} b^{2} d^{3} f + b^{4} d^{3} f\right)} x^{3} + 3 \, {\left(a^{4} c d^{2} f - 2 \, a^{2} b^{2} c d^{2} f + b^{4} c d^{2} f\right)} x^{2} + 3 \, {\left(a^{4} c^{2} d f - 2 \, a^{2} b^{2} c^{2} d f + b^{4} c^{2} d f\right)} x + {\left(a^{4} c^{3} f e^{\left(2 \, e\right)} + 2 \, a^{3} b c^{3} f e^{\left(2 \, e\right)} - 2 \, a b^{3} c^{3} f e^{\left(2 \, e\right)} - b^{4} c^{3} f e^{\left(2 \, e\right)} + {\left(a^{4} d^{3} f e^{\left(2 \, e\right)} + 2 \, a^{3} b d^{3} f e^{\left(2 \, e\right)} - 2 \, a b^{3} d^{3} f e^{\left(2 \, e\right)} - b^{4} d^{3} f e^{\left(2 \, e\right)}\right)} x^{3} + 3 \, {\left(a^{4} c d^{2} f e^{\left(2 \, e\right)} + 2 \, a^{3} b c d^{2} f e^{\left(2 \, e\right)} - 2 \, a b^{3} c d^{2} f e^{\left(2 \, e\right)} - b^{4} c d^{2} f e^{\left(2 \, e\right)}\right)} x^{2} + 3 \, {\left(a^{4} c^{2} d f e^{\left(2 \, e\right)} + 2 \, a^{3} b c^{2} d f e^{\left(2 \, e\right)} - 2 \, a b^{3} c^{2} d f e^{\left(2 \, e\right)} - b^{4} c^{2} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)}}\,{d x}"," ",0,"-(a^2*c*f - 2*a*b*c*f + (c*f - 2*d)*b^2 + (a^2*d*f - 2*a*b*d*f + b^2*d*f)*x + (a^2*c*f*e^(2*e) - b^2*c*f*e^(2*e) + (a^2*d*f*e^(2*e) - b^2*d*f*e^(2*e))*x)*e^(2*f*x))/(a^4*c^2*d*f - 2*a^2*b^2*c^2*d*f + b^4*c^2*d*f + (a^4*d^3*f - 2*a^2*b^2*d^3*f + b^4*d^3*f)*x^2 + 2*(a^4*c*d^2*f - 2*a^2*b^2*c*d^2*f + b^4*c*d^2*f)*x + (a^4*c^2*d*f*e^(2*e) + 2*a^3*b*c^2*d*f*e^(2*e) - 2*a*b^3*c^2*d*f*e^(2*e) - b^4*c^2*d*f*e^(2*e) + (a^4*d^3*f*e^(2*e) + 2*a^3*b*d^3*f*e^(2*e) - 2*a*b^3*d^3*f*e^(2*e) - b^4*d^3*f*e^(2*e))*x^2 + 2*(a^4*c*d^2*f*e^(2*e) + 2*a^3*b*c*d^2*f*e^(2*e) - 2*a*b^3*c*d^2*f*e^(2*e) - b^4*c*d^2*f*e^(2*e))*x)*e^(2*f*x)) + integrate(4*(a*b*d*f*x + a*b*c*f + b^2*d)/(a^4*c^3*f - 2*a^2*b^2*c^3*f + b^4*c^3*f + (a^4*d^3*f - 2*a^2*b^2*d^3*f + b^4*d^3*f)*x^3 + 3*(a^4*c*d^2*f - 2*a^2*b^2*c*d^2*f + b^4*c*d^2*f)*x^2 + 3*(a^4*c^2*d*f - 2*a^2*b^2*c^2*d*f + b^4*c^2*d*f)*x + (a^4*c^3*f*e^(2*e) + 2*a^3*b*c^3*f*e^(2*e) - 2*a*b^3*c^3*f*e^(2*e) - b^4*c^3*f*e^(2*e) + (a^4*d^3*f*e^(2*e) + 2*a^3*b*d^3*f*e^(2*e) - 2*a*b^3*d^3*f*e^(2*e) - b^4*d^3*f*e^(2*e))*x^3 + 3*(a^4*c*d^2*f*e^(2*e) + 2*a^3*b*c*d^2*f*e^(2*e) - 2*a*b^3*c*d^2*f*e^(2*e) - b^4*c*d^2*f*e^(2*e))*x^2 + 3*(a^4*c^2*d*f*e^(2*e) + 2*a^3*b*c^2*d*f*e^(2*e) - 2*a*b^3*c^2*d*f*e^(2*e) - b^4*c^2*d*f*e^(2*e))*x)*e^(2*f*x)), x)","F",0
