1,1,394,109,0.304000," ","int((d*x+c)^3*tanh(f*x+e),x)","-c \,d^{2} x^{3}+\frac{3 d^{3} \polylog \left(4, -{\mathrm e}^{2 f x +2 e}\right)}{4 f^{4}}-\frac{6 d \,c^{2} e x}{f}+\frac{6 d^{2} c \,e^{2} x}{f^{2}}+\frac{3 c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{3 c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}+\frac{3 c^{2} d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}-\frac{6 c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{6 c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{3 d \,c^{2} e^{2}}{f^{2}}-\frac{2 d^{3} e^{3} x}{f^{3}}+\frac{2 d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}-\frac{3 c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{3 c^{2} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{3}}{f}+\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x^{2}}{2 f^{2}}-\frac{3 d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right) x}{2 f^{3}}+\frac{4 d^{2} c \,e^{3}}{f^{3}}-\frac{3 c^{2} d \,x^{2}}{2}-\frac{3 d^{3} e^{4}}{2 f^{4}}+\frac{c^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{d^{3} x^{4}}{4}+c^{3} x"," ",0,"-c*d^2*x^3+3/4*d^3*polylog(4,-exp(2*f*x+2*e))/f^4-6/f*d*c^2*e*x+6/f^2*d^2*c*e^2*x+3/f*c*d^2*ln(exp(2*f*x+2*e)+1)*x^2+3/f^2*c*d^2*polylog(2,-exp(2*f*x+2*e))*x+3/f*c^2*d*ln(exp(2*f*x+2*e)+1)*x-6/f^3*c*d^2*e^2*ln(exp(f*x+e))+6/f^2*c^2*d*e*ln(exp(f*x+e))-3/f^2*d*c^2*e^2-2/f^3*d^3*e^3*x+2/f^4*d^3*e^3*ln(exp(f*x+e))-3/2/f^3*c*d^2*polylog(3,-exp(2*f*x+2*e))+3/2/f^2*c^2*d*polylog(2,-exp(2*f*x+2*e))+1/f*d^3*ln(exp(2*f*x+2*e)+1)*x^3+3/2/f^2*d^3*polylog(2,-exp(2*f*x+2*e))*x^2-3/2/f^3*d^3*polylog(3,-exp(2*f*x+2*e))*x+4/f^3*d^2*c*e^3-3/2*c^2*d*x^2-3/2/f^4*d^3*e^4+1/f*c^3*ln(exp(2*f*x+2*e)+1)-2/f*c^3*ln(exp(f*x+e))-1/4*d^3*x^4+c^3*x","B"
2,1,234,80,0.191000," ","int((d*x+c)^2*tanh(f*x+e),x)","-\frac{d^{2} x^{3}}{3}-c d \,x^{2}+c^{2} x +\frac{c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{2 d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{2 d^{2} e^{2} x}{f^{2}}+\frac{4 d^{2} e^{3}}{3 f^{3}}+\frac{d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}-\frac{d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{4 c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{4 d c e x}{f}-\frac{2 d c \,e^{2}}{f^{2}}+\frac{2 c d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{c d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}"," ",0,"-1/3*d^2*x^3-c*d*x^2+c^2*x+1/f*c^2*ln(exp(2*f*x+2*e)+1)-2/f*c^2*ln(exp(f*x+e))-2/f^3*d^2*e^2*ln(exp(f*x+e))+2/f^2*d^2*e^2*x+4/3/f^3*d^2*e^3+1/f*d^2*ln(exp(2*f*x+2*e)+1)*x^2+1/f^2*d^2*polylog(2,-exp(2*f*x+2*e))*x-1/2*d^2*polylog(3,-exp(2*f*x+2*e))/f^3+4/f^2*c*d*e*ln(exp(f*x+e))-4/f*d*c*e*x-2/f^2*d*c*e^2+2/f*c*d*ln(exp(2*f*x+2*e)+1)*x+1/f^2*c*d*polylog(2,-exp(2*f*x+2*e))","B"
3,1,109,53,0.166000," ","int((d*x+c)*tanh(f*x+e),x)","-\frac{d \,x^{2}}{2}+c x +\frac{c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 c \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{2 d e x}{f}-\frac{d \,e^{2}}{f^{2}}+\frac{d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{2 d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}"," ",0,"-1/2*d*x^2+c*x+1/f*c*ln(exp(2*f*x+2*e)+1)-2/f*c*ln(exp(f*x+e))-2/f*d*e*x-1/f^2*d*e^2+1/f*d*ln(exp(2*f*x+2*e)+1)*x+1/2*d*polylog(2,-exp(2*f*x+2*e))/f^2+2/f^2*d*e*ln(exp(f*x+e))","B"
4,0,0,16,0.229000," ","int(tanh(f*x+e)/(d*x+c),x)","\int \frac{\tanh \left(f x +e \right)}{d x +c}\, dx"," ",0,"int(tanh(f*x+e)/(d*x+c),x)","F"
5,0,0,16,0.225000," ","int(tanh(f*x+e)/(d*x+c)^2,x)","\int \frac{\tanh \left(f x +e \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(tanh(f*x+e)/(d*x+c)^2,x)","F"
6,1,328,115,0.197000," ","int((d*x+c)^3*tanh(f*x+e)^2,x)","\frac{d^{3} x^{4}}{4}+c \,d^{2} x^{3}+\frac{3 c^{2} d \,x^{2}}{2}+c^{3} x +\frac{2 d^{3} x^{3}+6 c \,d^{2} x^{2}+6 c^{2} d x +2 c^{3}}{f \left({\mathrm e}^{2 f x +2 e}+1\right)}+\frac{3 d \,c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}-\frac{6 d \,c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{6 d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}-\frac{2 d^{3} x^{3}}{f}+\frac{6 d^{3} e^{2} x}{f^{3}}+\frac{4 d^{3} e^{3}}{f^{4}}+\frac{3 d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f^{2}}+\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{3}}-\frac{3 d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{4}}+\frac{12 d^{2} c e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}-\frac{6 d^{2} c \,x^{2}}{f}-\frac{12 d^{2} c e x}{f^{2}}-\frac{6 d^{2} c \,e^{2}}{f^{3}}+\frac{6 d^{2} c \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f^{2}}+\frac{3 d^{2} c \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}"," ",0,"1/4*d^3*x^4+c*d^2*x^3+3/2*c^2*d*x^2+c^3*x+2*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/f/(exp(2*f*x+2*e)+1)+3/f^2*d*c^2*ln(exp(2*f*x+2*e)+1)-6/f^2*d*c^2*ln(exp(f*x+e))-6/f^4*d^3*e^2*ln(exp(f*x+e))-2/f*d^3*x^3+6/f^3*d^3*e^2*x+4/f^4*d^3*e^3+3/f^2*d^3*ln(exp(2*f*x+2*e)+1)*x^2+3/f^3*d^3*polylog(2,-exp(2*f*x+2*e))*x-3/2*d^3*polylog(3,-exp(2*f*x+2*e))/f^4+12/f^3*d^2*c*e*ln(exp(f*x+e))-6/f*d^2*c*x^2-12/f^2*d^2*c*e*x-6/f^3*d^2*c*e^2+6/f^2*d^2*c*ln(exp(2*f*x+2*e)+1)*x+3/f^3*d^2*c*polylog(2,-exp(2*f*x+2*e))","B"
7,1,177,86,0.164000," ","int((d*x+c)^2*tanh(f*x+e)^2,x)","\frac{d^{2} x^{3}}{3}+c d \,x^{2}+c^{2} x +\frac{2 d^{2} x^{2}+4 c d x +2 c^{2}}{f \left({\mathrm e}^{2 f x +2 e}+1\right)}+\frac{2 d c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}-\frac{4 d c \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{2 d^{2} x^{2}}{f}-\frac{4 d^{2} e x}{f^{2}}-\frac{2 d^{2} e^{2}}{f^{3}}+\frac{2 d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f^{2}}+\frac{d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}+\frac{4 d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}"," ",0,"1/3*d^2*x^3+c*d*x^2+c^2*x+2*(d^2*x^2+2*c*d*x+c^2)/f/(exp(2*f*x+2*e)+1)+2/f^2*d*c*ln(exp(2*f*x+2*e)+1)-4/f^2*d*c*ln(exp(f*x+e))-2*d^2*x^2/f-4/f^2*d^2*e*x-2/f^3*d^2*e^2+2/f^2*d^2*ln(exp(2*f*x+2*e)+1)*x+d^2*polylog(2,-exp(2*f*x+2*e))/f^3+4/f^3*d^2*e*ln(exp(f*x+e))","B"
8,1,65,38,0.108000," ","int((d*x+c)*tanh(f*x+e)^2,x)","\frac{d \,x^{2}}{2}+c x -\frac{2 d x}{f}-\frac{2 d e}{f^{2}}+\frac{2 d x +2 c}{f \left({\mathrm e}^{2 f x +2 e}+1\right)}+\frac{d \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}"," ",0,"1/2*d*x^2+c*x-2*d*x/f-2*d/f^2*e+2*(d*x+c)/f/(exp(2*f*x+2*e)+1)+d/f^2*ln(exp(2*f*x+2*e)+1)","A"
9,0,0,18,0.237000," ","int(tanh(f*x+e)^2/(d*x+c),x)","\int \frac{\tanh^{2}\left(f x +e \right)}{d x +c}\, dx"," ",0,"int(tanh(f*x+e)^2/(d*x+c),x)","F"
10,0,0,18,0.235000," ","int(tanh(f*x+e)^2/(d*x+c)^2,x)","\int \frac{\tanh^{2}\left(f x +e \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(tanh(f*x+e)^2/(d*x+c)^2,x)","F"
11,1,677,219,0.311000," ","int((d*x+c)^3*tanh(f*x+e)^3,x)","-c \,d^{2} x^{3}-\frac{6 d \,c^{2} e x}{f}+\frac{6 d^{2} c \,e^{2} x}{f^{2}}+\frac{3 c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{3 c^{2} d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}-\frac{6 c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{6 c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{3 c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}-\frac{3 d \,c^{2} e^{2}}{f^{2}}-\frac{2 d^{3} e^{3} x}{f^{3}}+\frac{2 d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{3}}{f}-\frac{3 c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x^{2}}{2 f^{2}}-\frac{3 d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right) x}{2 f^{3}}-\frac{6 d^{3} e x}{f^{3}}-\frac{6 c \,d^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{6 d^{3} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{3 d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f^{3}}+\frac{3 c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{3}}+\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{4}}+\frac{4 d^{2} c \,e^{3}}{f^{3}}-\frac{3 e^{2} d^{3}}{f^{4}}-\frac{3 d^{3} x^{2}}{f^{2}}+\frac{3 c^{2} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{2 d^{3} f \,x^{3} {\mathrm e}^{2 f x +2 e}+6 c \,d^{2} f \,x^{2} {\mathrm e}^{2 f x +2 e}+6 c^{2} d f x \,{\mathrm e}^{2 f x +2 e}+3 d^{3} x^{2} {\mathrm e}^{2 f x +2 e}+2 c^{3} f \,{\mathrm e}^{2 f x +2 e}+6 c \,d^{2} x \,{\mathrm e}^{2 f x +2 e}+3 c^{2} d \,{\mathrm e}^{2 f x +2 e}+3 d^{3} x^{2}+6 c \,d^{2} x +3 c^{2} d}{f^{2} \left({\mathrm e}^{2 f x +2 e}+1\right)^{2}}+\frac{3 d^{3} \polylog \left(4, -{\mathrm e}^{2 f x +2 e}\right)}{4 f^{4}}-\frac{3 c^{2} d \,x^{2}}{2}-\frac{3 d^{3} e^{4}}{2 f^{4}}+\frac{c^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{d^{3} x^{4}}{4}+c^{3} x"," ",0,"-c*d^2*x^3+3/2*d^3*polylog(2,-exp(2*f*x+2*e))/f^4+3/4*d^3*polylog(4,-exp(2*f*x+2*e))/f^4-6/f*d*c^2*e*x+6/f^2*d^2*c*e^2*x+3/f*c*d^2*ln(exp(2*f*x+2*e)+1)*x^2+3/f^2*c*d^2*polylog(2,-exp(2*f*x+2*e))*x+3/f*c^2*d*ln(exp(2*f*x+2*e)+1)*x-6/f^3*c*d^2*e^2*ln(exp(f*x+e))+6/f^2*c^2*d*e*ln(exp(f*x+e))-3/f^2*d*c^2*e^2-2/f^3*d^3*e^3*x+2/f^4*d^3*e^3*ln(exp(f*x+e))-3/2/f^3*c*d^2*polylog(3,-exp(2*f*x+2*e))+3/2/f^2*c^2*d*polylog(2,-exp(2*f*x+2*e))+1/f*d^3*ln(exp(2*f*x+2*e)+1)*x^3+3/2/f^2*d^3*polylog(2,-exp(2*f*x+2*e))*x^2-3/2/f^3*d^3*polylog(3,-exp(2*f*x+2*e))*x-6/f^3*d^3*e*x-6/f^3*c*d^2*ln(exp(f*x+e))+6/f^4*d^3*e*ln(exp(f*x+e))+3/f^3*d^3*ln(exp(2*f*x+2*e)+1)*x+3/f^3*c*d^2*ln(exp(2*f*x+2*e)+1)+4/f^3*d^2*c*e^3-3/f^4*e^2*d^3-3/f^2*d^3*x^2+(2*d^3*f*x^3*exp(2*f*x+2*e)+6*c*d^2*f*x^2*exp(2*f*x+2*e)+6*c^2*d*f*x*exp(2*f*x+2*e)+3*d^3*x^2*exp(2*f*x+2*e)+2*c^3*f*exp(2*f*x+2*e)+6*c*d^2*x*exp(2*f*x+2*e)+3*c^2*d*exp(2*f*x+2*e)+3*d^3*x^2+6*c*d^2*x+3*c^2*d)/f^2/(exp(2*f*x+2*e)+1)^2-3/2*c^2*d*x^2-3/2/f^4*d^3*e^4+1/f*c^3*ln(exp(2*f*x+2*e)+1)-2/f*c^3*ln(exp(f*x+e))-1/4*d^3*x^4+c^3*x","B"
12,1,367,149,0.329000," ","int((d*x+c)^2*tanh(f*x+e)^3,x)","-\frac{d^{2} x^{3}}{3}-c d \,x^{2}+c^{2} x +\frac{2 d^{2} f \,x^{2} {\mathrm e}^{2 f x +2 e}+4 c d f x \,{\mathrm e}^{2 f x +2 e}+2 c^{2} f \,{\mathrm e}^{2 f x +2 e}+2 d^{2} x \,{\mathrm e}^{2 f x +2 e}+2 c d \,{\mathrm e}^{2 f x +2 e}+2 d^{2} x +2 c d}{f^{2} \left({\mathrm e}^{2 f x +2 e}+1\right)^{2}}+\frac{c d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}-\frac{2 d c \,e^{2}}{f^{2}}+\frac{d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}+\frac{4 d^{2} e^{3}}{3 f^{3}}+\frac{2 c d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{2 d^{2} e^{2} x}{f^{2}}-\frac{4 d c e x}{f}-\frac{2 c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}-\frac{2 d^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{3}}-\frac{d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{4 c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}"," ",0,"-1/3*d^2*x^3-c*d*x^2+c^2*x+2*(d^2*f*x^2*exp(2*f*x+2*e)+2*c*d*f*x*exp(2*f*x+2*e)+c^2*f*exp(2*f*x+2*e)+d^2*x*exp(2*f*x+2*e)+c*d*exp(2*f*x+2*e)+d^2*x+c*d)/f^2/(exp(2*f*x+2*e)+1)^2+1/f^2*c*d*polylog(2,-exp(2*f*x+2*e))-2/f^2*d*c*e^2+1/f*d^2*ln(exp(2*f*x+2*e)+1)*x^2+1/f^2*d^2*polylog(2,-exp(2*f*x+2*e))*x+4/3/f^3*d^2*e^3+2/f*c*d*ln(exp(2*f*x+2*e)+1)*x+2/f^2*d^2*e^2*x-4/f*d*c*e*x-2/f*c^2*ln(exp(f*x+e))+1/f*c^2*ln(exp(2*f*x+2*e)+1)-2/f^3*d^2*e^2*ln(exp(f*x+e))-2/f^3*d^2*ln(exp(f*x+e))+1/f^3*d^2*ln(exp(2*f*x+2*e)+1)-1/2*d^2*polylog(3,-exp(2*f*x+2*e))/f^3+4/f^2*c*d*e*ln(exp(f*x+e))","B"
13,1,166,90,0.217000," ","int((d*x+c)*tanh(f*x+e)^3,x)","-\frac{d \,x^{2}}{2}+c x +\frac{2 d f x \,{\mathrm e}^{2 f x +2 e}+2 c f \,{\mathrm e}^{2 f x +2 e}+{\mathrm e}^{2 f x +2 e} d +d}{f^{2} \left({\mathrm e}^{2 f x +2 e}+1\right)^{2}}+\frac{c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 c \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{2 d e x}{f}-\frac{d \,e^{2}}{f^{2}}+\frac{d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{2 d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}"," ",0,"-1/2*d*x^2+c*x+(2*d*f*x*exp(2*f*x+2*e)+2*c*f*exp(2*f*x+2*e)+exp(2*f*x+2*e)*d+d)/f^2/(exp(2*f*x+2*e)+1)^2+1/f*c*ln(exp(2*f*x+2*e)+1)-2/f*c*ln(exp(f*x+e))-2/f*d*e*x-1/f^2*d*e^2+1/f*d*ln(exp(2*f*x+2*e)+1)*x+1/2*d*polylog(2,-exp(2*f*x+2*e))/f^2+2/f^2*d*e*ln(exp(f*x+e))","A"
14,0,0,18,0.811000," ","int(tanh(f*x+e)^3/(d*x+c),x)","\int \frac{\tanh^{3}\left(f x +e \right)}{d x +c}\, dx"," ",0,"int(tanh(f*x+e)^3/(d*x+c),x)","F"
15,0,0,18,0.978000," ","int(tanh(f*x+e)^3/(d*x+c)^2,x)","\int \frac{\tanh^{3}\left(f x +e \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(tanh(f*x+e)^3/(d*x+c)^2,x)","F"
16,0,0,1108,0.215000," ","int((d*x+c)*(b*tanh(f*x+e))^(5/2),x)","\int \left(d x +c \right) \left(b \tanh \left(f x +e \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((d*x+c)*(b*tanh(f*x+e))^(5/2),x)","F"
17,0,0,1089,0.191000," ","int((d*x+c)*(b*tanh(f*x+e))^(3/2),x)","\int \left(d x +c \right) \left(b \tanh \left(f x +e \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((d*x+c)*(b*tanh(f*x+e))^(3/2),x)","F"
18,0,0,1020,0.262000," ","int((d*x+c)*(b*tanh(f*x+e))^(1/2),x)","\int \left(d x +c \right) \sqrt{b \tanh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)*(b*tanh(f*x+e))^(1/2),x)","F"
19,0,0,1020,0.253000," ","int((d*x+c)/(b*tanh(f*x+e))^(1/2),x)","\int \frac{d x +c}{\sqrt{b \tanh \left(f x +e \right)}}\, dx"," ",0,"int((d*x+c)/(b*tanh(f*x+e))^(1/2),x)","F"
20,0,0,1091,0.206000," ","int((d*x+c)/(b*tanh(f*x+e))^(3/2),x)","\int \frac{d x +c}{\left(b \tanh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)/(b*tanh(f*x+e))^(3/2),x)","F"
21,0,0,1104,0.220000," ","int((d*x+c)^2*(b*tanh(f*x+e))^(3/2),x)","\int \left(d x +c \right)^{2} \left(b \tanh \left(f x +e \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((d*x+c)^2*(b*tanh(f*x+e))^(3/2),x)","F"
22,0,0,20,0.290000," ","int((d*x+c)^2*(b*tanh(f*x+e))^(1/2),x)","\int \left(d x +c \right)^{2} \sqrt{b \tanh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^2*(b*tanh(f*x+e))^(1/2),x)","F"
23,0,0,20,0.225000," ","int((d*x+c)^2/(b*tanh(f*x+e))^(1/2),x)","\int \frac{\left(d x +c \right)^{2}}{\sqrt{b \tanh \left(f x +e \right)}}\, dx"," ",0,"int((d*x+c)^2/(b*tanh(f*x+e))^(1/2),x)","F"
24,0,0,1106,0.243000," ","int((d*x+c)^2/(b*tanh(f*x+e))^(3/2),x)","\int \frac{\left(d x +c \right)^{2}}{\left(b \tanh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((d*x+c)^2/(b*tanh(f*x+e))^(3/2),x)","F"
25,0,0,20,0.220000," ","int((b*tanh(f*x+e))^(3/2)/(d*x+c),x)","\int \frac{\left(b \tanh \left(f x +e \right)\right)^{\frac{3}{2}}}{d x +c}\, dx"," ",0,"int((b*tanh(f*x+e))^(3/2)/(d*x+c),x)","F"
26,0,0,20,0.238000," ","int((b*tanh(f*x+e))^(1/2)/(d*x+c),x)","\int \frac{\sqrt{b \tanh \left(f x +e \right)}}{d x +c}\, dx"," ",0,"int((b*tanh(f*x+e))^(1/2)/(d*x+c),x)","F"
27,0,0,20,0.256000," ","int(1/(d*x+c)/(b*tanh(f*x+e))^(1/2),x)","\int \frac{1}{\left(d x +c \right) \sqrt{b \tanh \left(f x +e \right)}}\, dx"," ",0,"int(1/(d*x+c)/(b*tanh(f*x+e))^(1/2),x)","F"
28,0,0,20,0.284000," ","int(1/(d*x+c)/(b*tanh(f*x+e))^(3/2),x)","\int \frac{1}{\left(d x +c \right) \left(b \tanh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(d*x+c)/(b*tanh(f*x+e))^(3/2),x)","F"
29,0,0,14,0.139000," ","int(x^m*tanh(b*x+a)^3,x)","\int x^{m} \left(\tanh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*tanh(b*x+a)^3,x)","F"
30,0,0,14,0.105000," ","int(x^m*tanh(b*x+a)^2,x)","\int x^{m} \left(\tanh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*tanh(b*x+a)^2,x)","F"
31,0,0,12,0.145000," ","int(x^m*tanh(b*x+a),x)","\int x^{m} \tanh \left(b x +a \right)\, dx"," ",0,"int(x^m*tanh(b*x+a),x)","F"
32,1,929,153,0.197000," ","int((d*x+c)^3/(a+a*tanh(f*x+e)),x)","\frac{-d^{3} \left(\frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{3 \left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{\left(f x +e \right)^{3}}{4}+\frac{3 \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{4}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}-\frac{3 f x}{8}-\frac{3 e}{8}\right)-3 c \,d^{2} f \left(\frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}-\frac{\left(f x +e \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)+3 d^{3} e \left(\frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}-\frac{\left(f x +e \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)-3 c^{2} d \,f^{2} \left(\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}\right)+6 c \,d^{2} e f \left(\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}\right)-3 d^{3} e^{2} \left(\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}\right)-\frac{\left(\cosh^{2}\left(f x +e \right)\right) c^{3} f^{3}}{2}+\frac{3 \left(\cosh^{2}\left(f x +e \right)\right) c^{2} d e \,f^{2}}{2}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right) c \,d^{2} e^{2} f}{2}+\frac{\left(\cosh^{2}\left(f x +e \right)\right) d^{3} e^{3}}{2}+d^{3} \left(\frac{\left(f x +e \right)^{3} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{4}}{8}-\frac{3 \left(f x +e \right)^{2} \left(\cosh^{2}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}+\frac{3 \left(f x +e \right)^{2}}{8}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{8}\right)+3 c \,d^{2} f \left(\frac{\left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{3}}{6}-\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}+\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)-3 d^{3} e \left(\frac{\left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{3}}{6}-\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}+\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)+3 c^{2} d \,f^{2} \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)-6 c \,d^{2} e f \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)+3 d^{3} e^{2} \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)+c^{3} f^{3} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-3 c^{2} d e \,f^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+3 c \,d^{2} e^{2} f \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-d^{3} e^{3} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{4} a}"," ",0,"1/f^4/a*(-d^3*(1/2*(f*x+e)^3*cosh(f*x+e)^2-3/4*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)-1/4*(f*x+e)^3+3/4*(f*x+e)*cosh(f*x+e)^2-3/8*cosh(f*x+e)*sinh(f*x+e)-3/8*f*x-3/8*e)-3*c*d^2*f*(1/2*(f*x+e)^2*cosh(f*x+e)^2-1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-1/4*(f*x+e)^2+1/4*cosh(f*x+e)^2)+3*d^3*e*(1/2*(f*x+e)^2*cosh(f*x+e)^2-1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-1/4*(f*x+e)^2+1/4*cosh(f*x+e)^2)-3*c^2*d*f^2*(1/2*(f*x+e)*cosh(f*x+e)^2-1/4*cosh(f*x+e)*sinh(f*x+e)-1/4*f*x-1/4*e)+6*c*d^2*e*f*(1/2*(f*x+e)*cosh(f*x+e)^2-1/4*cosh(f*x+e)*sinh(f*x+e)-1/4*f*x-1/4*e)-3*d^3*e^2*(1/2*(f*x+e)*cosh(f*x+e)^2-1/4*cosh(f*x+e)*sinh(f*x+e)-1/4*f*x-1/4*e)-1/2*cosh(f*x+e)^2*c^3*f^3+3/2*cosh(f*x+e)^2*c^2*d*e*f^2-3/2*cosh(f*x+e)^2*c*d^2*e^2*f+1/2*cosh(f*x+e)^2*d^3*e^3+d^3*(1/2*(f*x+e)^3*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^4-3/4*(f*x+e)^2*cosh(f*x+e)^2+3/4*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/8*(f*x+e)^2-3/8*cosh(f*x+e)^2)+3*c*d^2*f*(1/2*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/6*(f*x+e)^3-1/2*(f*x+e)*cosh(f*x+e)^2+1/4*cosh(f*x+e)*sinh(f*x+e)+1/4*f*x+1/4*e)-3*d^3*e*(1/2*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/6*(f*x+e)^3-1/2*(f*x+e)*cosh(f*x+e)^2+1/4*cosh(f*x+e)*sinh(f*x+e)+1/4*f*x+1/4*e)+3*c^2*d*f^2*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)-6*c*d^2*e*f*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+3*d^3*e^2*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+c^3*f^3*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-3*c^2*d*e*f^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+3*c*d^2*e^2*f*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-d^3*e^3*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","B"
33,1,446,110,0.155000," ","int((d*x+c)^2/(a+a*tanh(f*x+e)),x)","\frac{-d^{2} \left(\frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}-\frac{\left(f x +e \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)-2 c d f \left(\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}\right)+2 d^{2} e \left(\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}\right)-\frac{\left(\cosh^{2}\left(f x +e \right)\right) c^{2} f^{2}}{2}+\left(\cosh^{2}\left(f x +e \right)\right) c d f e -\frac{\left(\cosh^{2}\left(f x +e \right)\right) d^{2} e^{2}}{2}+d^{2} \left(\frac{\left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{3}}{6}-\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}+\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)+2 c d f \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)-2 d^{2} e \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)+c^{2} f^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-2 c d f e \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+d^{2} e^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{3} a}"," ",0,"1/f^3/a*(-d^2*(1/2*(f*x+e)^2*cosh(f*x+e)^2-1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-1/4*(f*x+e)^2+1/4*cosh(f*x+e)^2)-2*c*d*f*(1/2*(f*x+e)*cosh(f*x+e)^2-1/4*cosh(f*x+e)*sinh(f*x+e)-1/4*f*x-1/4*e)+2*d^2*e*(1/2*(f*x+e)*cosh(f*x+e)^2-1/4*cosh(f*x+e)*sinh(f*x+e)-1/4*f*x-1/4*e)-1/2*cosh(f*x+e)^2*c^2*f^2+cosh(f*x+e)^2*c*d*f*e-1/2*cosh(f*x+e)^2*d^2*e^2+d^2*(1/2*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/6*(f*x+e)^3-1/2*(f*x+e)*cosh(f*x+e)^2+1/4*cosh(f*x+e)*sinh(f*x+e)+1/4*f*x+1/4*e)+2*c*d*f*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)-2*d^2*e*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+c^2*f^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-2*c*d*f*e*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+d^2*e^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","B"
34,1,165,69,0.157000," ","int((d*x+c)/(a+a*tanh(f*x+e)),x)","\frac{-d \left(\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}\right)-\frac{\left(\cosh^{2}\left(f x +e \right)\right) c f}{2}+\frac{\left(\cosh^{2}\left(f x +e \right)\right) d e}{2}+d \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)+c f \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-d e \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{2} a}"," ",0,"1/f^2/a*(-d*(1/2*(f*x+e)*cosh(f*x+e)^2-1/4*cosh(f*x+e)*sinh(f*x+e)-1/4*f*x-1/4*e)-1/2*cosh(f*x+e)^2*c*f+1/2*cosh(f*x+e)^2*d*e+d*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+c*f*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-d*e*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","B"
35,1,61,147,0.649000," ","int(1/(d*x+c)/(a+a*tanh(f*x+e)),x)","\frac{\ln \left(d x +c \right)}{2 d a}-\frac{{\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{2 a d}"," ",0,"1/2*ln(d*x+c)/d/a-1/2/a/d*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
36,1,90,159,0.622000," ","int(1/(d*x+c)^2/(a+a*tanh(f*x+e)),x)","-\frac{1}{2 d a \left(d x +c \right)}-\frac{f \,{\mathrm e}^{-2 f x -2 e}}{2 a d \left(d f x +c f \right)}+\frac{f \,{\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{a \,d^{2}}"," ",0,"-1/2/d/a/(d*x+c)-1/2/a*f*exp(-2*f*x-2*e)/d/(d*f*x+c*f)+1/a*f/d^2*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
37,1,211,207,0.648000," ","int(1/(d*x+c)^3/(a+a*tanh(f*x+e)),x)","-\frac{1}{4 d a \left(d x +c \right)^{2}}+\frac{f^{3} {\mathrm e}^{-2 f x -2 e} x}{2 a d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{3} {\mathrm e}^{-2 f x -2 e} c}{2 a \,d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{2} {\mathrm e}^{-2 f x -2 e}}{4 a d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{2} {\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{a \,d^{3}}"," ",0,"-1/4/d/a/(d*x+c)^2+1/2/a*f^3*exp(-2*f*x-2*e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x+1/2/a*f^3*exp(-2*f*x-2*e)/d^2/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*c-1/4/a*f^2*exp(-2*f*x-2*e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)-1/a*f^2/d^3*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
38,1,1918,204,0.255000," ","int((d*x+c)^3/(a+a*tanh(f*x+e))^2,x)","\text{Expression too large to display}"," ",0,"1/f^4/a^2*(-2*d^3*(1/4*(f*x+e)^3*cosh(f*x+e)^4-3/16*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3-9/32*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^3+3/32*(f*x+e)*cosh(f*x+e)^4-3/128*cosh(f*x+e)^3*sinh(f*x+e)-45/256*cosh(f*x+e)*sinh(f*x+e)-45/256*f*x-45/256*e+9/32*(f*x+e)*cosh(f*x+e)^2)+2*d^3*(1/4*(f*x+e)^3*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^3*cosh(f*x+e)*sinh(f*x+e)+3/32*(f*x+e)^4-3/16*(f*x+e)^2*cosh(f*x+e)^4+3/32*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+45/64*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+45/128*(f*x+e)^2-3/128*cosh(f*x+e)^4-45/128*cosh(f*x+e)^2-9/16*(f*x+e)^2*cosh(f*x+e)^2)+1/2*cosh(f*x+e)^4*d^3*e^3-1/2*cosh(f*x+e)^4*c^3*f^3+6*d^3*e^2*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)+2*c^3*f^3*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-6*d^3*e*(1/4*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^3-1/8*(f*x+e)*cosh(f*x+e)^4+1/32*cosh(f*x+e)^3*sinh(f*x+e)+15/64*cosh(f*x+e)*sinh(f*x+e)+15/64*f*x+15/64*e-3/8*(f*x+e)*cosh(f*x+e)^2)+6*d^3*e*(1/4*(f*x+e)^2*cosh(f*x+e)^4-1/8*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-3/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^2+1/32*cosh(f*x+e)^4+3/32*cosh(f*x+e)^2)-6*d^3*e^2*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)-2*d^3*e^3*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+3*d^3*e*(1/2*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/6*(f*x+e)^3-1/2*(f*x+e)*cosh(f*x+e)^2+1/4*cosh(f*x+e)*sinh(f*x+e)+1/4*f*x+1/4*e)-3*d^3*e^2*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)-c^3*f^3*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+d^3*e^3*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-6*c^2*d*f^2*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)+6*c*d^2*f*(1/4*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^3-1/8*(f*x+e)*cosh(f*x+e)^4+1/32*cosh(f*x+e)^3*sinh(f*x+e)+15/64*cosh(f*x+e)*sinh(f*x+e)+15/64*f*x+15/64*e-3/8*(f*x+e)*cosh(f*x+e)^2)+6*c^2*d*f^2*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)-6*c*d^2*f*(1/4*(f*x+e)^2*cosh(f*x+e)^4-1/8*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-3/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^2+1/32*cosh(f*x+e)^4+3/32*cosh(f*x+e)^2)-d^3*(1/2*(f*x+e)^3*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^4-3/4*(f*x+e)^2*cosh(f*x+e)^2+3/4*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/8*(f*x+e)^2-3/8*cosh(f*x+e)^2)-3*c*d^2*f*(1/2*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/6*(f*x+e)^3-1/2*(f*x+e)*cosh(f*x+e)^2+1/4*cosh(f*x+e)*sinh(f*x+e)+1/4*f*x+1/4*e)-3*c^2*d*f^2*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+12*c*d^2*e*f*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)-6*c^2*d*e*f^2*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+6*c*d^2*e^2*f*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+3/2*cosh(f*x+e)^4*c^2*d*e*f^2-3/2*cosh(f*x+e)^4*c*d^2*e^2*f-12*c*d^2*e*f*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)+6*c*d^2*e*f*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+3*c^2*d*e*f^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-3*c*d^2*e^2*f*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","B"
39,1,913,150,0.242000," ","int((d*x+c)^2/(a+a*tanh(f*x+e))^2,x)","\frac{2 d^{2} \left(\frac{\left(f x +e \right)^{2} \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{\left(f x +e \right)^{3}}{8}-\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{8}+\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{32}+\frac{15 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{64}+\frac{15 f x}{64}+\frac{15 e}{64}-\frac{3 \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{8}\right)+4 c d f \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{3 \left(f x +e \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)-4 e \,d^{2} \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{3 \left(f x +e \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)+2 c^{2} f^{2} \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)-4 c d f e \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)+2 d^{2} e^{2} \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)-2 d^{2} \left(\frac{\left(f x +e \right)^{2} \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{8}-\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{16}-\frac{3 \left(f x +e \right)^{2}}{32}+\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{32}+\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{32}\right)-4 c d f \left(\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{16}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{32}-\frac{3 f x}{32}-\frac{3 e}{32}\right)+4 e \,d^{2} \left(\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{16}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{32}-\frac{3 f x}{32}-\frac{3 e}{32}\right)-\frac{\left(\cosh^{4}\left(f x +e \right)\right) c^{2} f^{2}}{2}+\left(\cosh^{4}\left(f x +e \right)\right) c d f e -\frac{\left(\cosh^{4}\left(f x +e \right)\right) d^{2} e^{2}}{2}-d^{2} \left(\frac{\left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{3}}{6}-\frac{\left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}+\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)-2 c d f \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)+2 e \,d^{2} \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)-c^{2} f^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+2 c d f e \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-d^{2} e^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{3} a^{2}}"," ",0,"1/f^3/a^2*(2*d^2*(1/4*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^3-1/8*(f*x+e)*cosh(f*x+e)^4+1/32*cosh(f*x+e)^3*sinh(f*x+e)+15/64*cosh(f*x+e)*sinh(f*x+e)+15/64*f*x+15/64*e-3/8*(f*x+e)*cosh(f*x+e)^2)+4*c*d*f*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)-4*e*d^2*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)+2*c^2*f^2*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-4*c*d*f*e*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+2*d^2*e^2*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-2*d^2*(1/4*(f*x+e)^2*cosh(f*x+e)^4-1/8*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-3/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^2+1/32*cosh(f*x+e)^4+3/32*cosh(f*x+e)^2)-4*c*d*f*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)+4*e*d^2*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)-1/2*cosh(f*x+e)^4*c^2*f^2+cosh(f*x+e)^4*c*d*f*e-1/2*cosh(f*x+e)^4*d^2*e^2-d^2*(1/2*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/6*(f*x+e)^3-1/2*(f*x+e)*cosh(f*x+e)^2+1/4*cosh(f*x+e)*sinh(f*x+e)+1/4*f*x+1/4*e)-2*c*d*f*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)+2*e*d^2*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)-c^2*f^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+2*c*d*f*e*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)-d^2*e^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","B"
40,1,331,125,0.241000," ","int((d*x+c)/(a+a*tanh(f*x+e))^2,x)","\frac{2 d \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{3 \left(f x +e \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)+2 c f \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)-2 d e \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)-2 d \left(\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{16}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{32}-\frac{3 f x}{32}-\frac{3 e}{32}\right)-\frac{\left(\cosh^{4}\left(f x +e \right)\right) c f}{2}+\frac{\left(\cosh^{4}\left(f x +e \right)\right) d e}{2}-d \left(\frac{\left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(f x +e \right)\right)}{4}\right)-c f \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+d e \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{2} a^{2}}"," ",0,"1/f^2/a^2*(2*d*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)+2*c*f*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-2*d*e*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-2*d*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)-1/2*cosh(f*x+e)^4*c*f+1/2*cosh(f*x+e)^4*d*e-d*(1/2*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+1/4*(f*x+e)^2-1/4*cosh(f*x+e)^2)-c*f*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+d*e*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","B"
41,1,106,279,0.794000," ","int(1/(d*x+c)/(a+a*tanh(f*x+e))^2,x)","\frac{\ln \left(d x +c \right)}{4 d \,a^{2}}-\frac{{\mathrm e}^{\frac{4 c f -4 d e}{d}} \Ei \left(1, 4 f x +4 e +\frac{4 c f -4 d e}{d}\right)}{4 a^{2} d}-\frac{{\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{2 a^{2} d}"," ",0,"1/4*ln(d*x+c)/d/a^2-1/4/a^2/d*exp(4*(c*f-d*e)/d)*Ei(1,4*f*x+4*e+4*(c*f-d*e)/d)-1/2/a^2/d*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
42,1,163,408,0.907000," ","int(1/(d*x+c)^2/(a+a*tanh(f*x+e))^2,x)","-\frac{1}{4 a^{2} d \left(d x +c \right)}-\frac{f \,{\mathrm e}^{-4 f x -4 e}}{4 a^{2} d \left(d f x +c f \right)}+\frac{f \,{\mathrm e}^{\frac{4 c f -4 d e}{d}} \Ei \left(1, 4 f x +4 e +\frac{4 c f -4 d e}{d}\right)}{a^{2} d^{2}}-\frac{f \,{\mathrm e}^{-2 f x -2 e}}{2 a^{2} d \left(d f x +c f \right)}+\frac{f \,{\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{a^{2} d^{2}}"," ",0,"-1/4/a^2/d/(d*x+c)-1/4*f/a^2*exp(-4*f*x-4*e)/d/(d*f*x+c*f)+f/a^2/d^2*exp(4*(c*f-d*e)/d)*Ei(1,4*f*x+4*e+4*(c*f-d*e)/d)-1/2*f/a^2*exp(-2*f*x-2*e)/d/(d*f*x+c*f)+f/a^2/d^2*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
43,1,3296,298,0.343000," ","int((d*x+c)^3/(a+a*tanh(f*x+e))^3,x)","\text{output too large to display}"," ",0,"1/f^4/a^3*(d^3*(1/4*(f*x+e)^3*cosh(f*x+e)^4-3/16*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3-9/32*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^3+3/32*(f*x+e)*cosh(f*x+e)^4-3/128*cosh(f*x+e)^3*sinh(f*x+e)-45/256*cosh(f*x+e)*sinh(f*x+e)-45/256*f*x-45/256*e+9/32*(f*x+e)*cosh(f*x+e)^2)-3*d^3*(1/4*(f*x+e)^3*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^3*cosh(f*x+e)*sinh(f*x+e)+3/32*(f*x+e)^4-3/16*(f*x+e)^2*cosh(f*x+e)^4+3/32*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+45/64*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+45/128*(f*x+e)^2-3/128*cosh(f*x+e)^4-45/128*cosh(f*x+e)^2-9/16*(f*x+e)^2*cosh(f*x+e)^2)+12*c*d^2*f*(1/6*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+5/48*(f*x+e)^3-1/18*(f*x+e)*cosh(f*x+e)^6+1/108*cosh(f*x+e)^5*sinh(f*x+e)+65/1728*cosh(f*x+e)^3*sinh(f*x+e)+245/1152*cosh(f*x+e)*sinh(f*x+e)+245/1152*f*x+245/1152*e-5/48*(f*x+e)*cosh(f*x+e)^4-5/16*(f*x+e)*cosh(f*x+e)^2)+12*c^2*d*f^2*(1/6*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+5/32*(f*x+e)^2-1/36*cosh(f*x+e)^6-5/96*cosh(f*x+e)^4-5/32*cosh(f*x+e)^2)-12*c*d^2*f*(1/6*(f*x+e)^2*cosh(f*x+e)^6-1/18*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5-5/72*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-5/48*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-5/96*(f*x+e)^2+1/108*cosh(f*x+e)^6+5/288*cosh(f*x+e)^4+5/96*cosh(f*x+e)^2)-12*c^2*d*f^2*(1/6*(f*x+e)*cosh(f*x+e)^6-1/36*cosh(f*x+e)^5*sinh(f*x+e)-5/144*cosh(f*x+e)^3*sinh(f*x+e)-5/96*cosh(f*x+e)*sinh(f*x+e)-5/96*f*x-5/96*e)-12*d^3*e^2*(1/6*(f*x+e)*cosh(f*x+e)^6-1/36*cosh(f*x+e)^5*sinh(f*x+e)-5/144*cosh(f*x+e)^3*sinh(f*x+e)-5/96*cosh(f*x+e)*sinh(f*x+e)-5/96*f*x-5/96*e)-2/3*cosh(f*x+e)^6*c^3*f^3+2/3*cosh(f*x+e)^6*d^3*e^3+4*c^3*f^3*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)-4*d^3*e^3*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)-12*d^3*e*(1/6*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+5/48*(f*x+e)^3-1/18*(f*x+e)*cosh(f*x+e)^6+1/108*cosh(f*x+e)^5*sinh(f*x+e)+65/1728*cosh(f*x+e)^3*sinh(f*x+e)+245/1152*cosh(f*x+e)*sinh(f*x+e)+245/1152*f*x+245/1152*e-5/48*(f*x+e)*cosh(f*x+e)^4-5/16*(f*x+e)*cosh(f*x+e)^2)+12*d^3*e^2*(1/6*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+5/32*(f*x+e)^2-1/36*cosh(f*x+e)^6-5/96*cosh(f*x+e)^4-5/32*cosh(f*x+e)^2)+12*d^3*e*(1/6*(f*x+e)^2*cosh(f*x+e)^6-1/18*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5-5/72*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-5/48*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-5/96*(f*x+e)^2+1/108*cosh(f*x+e)^6+5/288*cosh(f*x+e)^4+5/96*cosh(f*x+e)^2)-1/4*cosh(f*x+e)^4*d^3*e^3+1/4*cosh(f*x+e)^4*c^3*f^3-9*d^3*e^2*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)-3*c^3*f^3*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+9*d^3*e*(1/4*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^3-1/8*(f*x+e)*cosh(f*x+e)^4+1/32*cosh(f*x+e)^3*sinh(f*x+e)+15/64*cosh(f*x+e)*sinh(f*x+e)+15/64*f*x+15/64*e-3/8*(f*x+e)*cosh(f*x+e)^2)-3*d^3*e*(1/4*(f*x+e)^2*cosh(f*x+e)^4-1/8*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-3/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^2+1/32*cosh(f*x+e)^4+3/32*cosh(f*x+e)^2)+3*d^3*e^2*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)+3*d^3*e^3*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+3*c^2*d*f^2*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)-9*c*d^2*f*(1/4*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^3-1/8*(f*x+e)*cosh(f*x+e)^4+1/32*cosh(f*x+e)^3*sinh(f*x+e)+15/64*cosh(f*x+e)*sinh(f*x+e)+15/64*f*x+15/64*e-3/8*(f*x+e)*cosh(f*x+e)^2)-9*c^2*d*f^2*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)+3*c*d^2*f*(1/4*(f*x+e)^2*cosh(f*x+e)^4-1/8*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-3/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^2+1/32*cosh(f*x+e)^4+3/32*cosh(f*x+e)^2)+4*d^3*(1/6*(f*x+e)^3*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)^3*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)^3*cosh(f*x+e)*sinh(f*x+e)+5/64*(f*x+e)^4-1/12*(f*x+e)^2*cosh(f*x+e)^6+1/36*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+65/576*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+245/384*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+245/768*(f*x+e)^2-1/216*cosh(f*x+e)^6-65/2304*cosh(f*x+e)^4-245/768*cosh(f*x+e)^2-5/32*(f*x+e)^2*cosh(f*x+e)^4-15/32*(f*x+e)^2*cosh(f*x+e)^2)-4*d^3*(1/6*(f*x+e)^3*cosh(f*x+e)^6-1/12*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^5-5/48*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3-5/32*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)-5/96*(f*x+e)^3+1/36*(f*x+e)*cosh(f*x+e)^6-1/216*cosh(f*x+e)^5*sinh(f*x+e)-65/3456*cosh(f*x+e)^3*sinh(f*x+e)-245/2304*cosh(f*x+e)*sinh(f*x+e)-245/2304*f*x-245/2304*e+5/96*(f*x+e)*cosh(f*x+e)^4+5/32*(f*x+e)*cosh(f*x+e)^2)-24*c*d^2*e*f*(1/6*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+5/32*(f*x+e)^2-1/36*cosh(f*x+e)^6-5/96*cosh(f*x+e)^4-5/32*cosh(f*x+e)^2)-12*c^2*d*e*f^2*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)+12*c*d^2*e^2*f*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)+2*cosh(f*x+e)^6*c^2*d*e*f^2-2*cosh(f*x+e)^6*c*d^2*e^2*f+24*c*d^2*e*f*(1/6*(f*x+e)*cosh(f*x+e)^6-1/36*cosh(f*x+e)^5*sinh(f*x+e)-5/144*cosh(f*x+e)^3*sinh(f*x+e)-5/96*cosh(f*x+e)*sinh(f*x+e)-5/96*f*x-5/96*e)-6*c*d^2*e*f*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)+9*c^2*d*e*f^2*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-9*c*d^2*e^2*f*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-3/4*cosh(f*x+e)^4*c^2*d*e*f^2+3/4*cosh(f*x+e)^4*c*d^2*e^2*f+18*c*d^2*e*f*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2))","B"
44,1,1529,217,0.297000," ","int((d*x+c)^2/(a+a*tanh(f*x+e))^3,x)","\frac{4 d^{2} \left(\frac{\left(f x +e \right)^{2} \sinh \left(f x +e \right) \left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(f x +e \right)^{2} \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{16}+\frac{5 \left(f x +e \right)^{3}}{48}-\frac{\left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)}{18}+\frac{\left(\cosh^{5}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{108}+\frac{65 \left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{1728}+\frac{245 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{1152}+\frac{245 f x}{1152}+\frac{245 e}{1152}-\frac{5 \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{48}-\frac{5 \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)+8 c d f \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{16}+\frac{5 \left(f x +e \right)^{2}}{32}-\frac{\left(\cosh^{6}\left(f x +e \right)\right)}{36}-\frac{5 \left(\cosh^{4}\left(f x +e \right)\right)}{96}-\frac{5 \left(\cosh^{2}\left(f x +e \right)\right)}{32}\right)-8 e \,d^{2} \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{16}+\frac{5 \left(f x +e \right)^{2}}{32}-\frac{\left(\cosh^{6}\left(f x +e \right)\right)}{36}-\frac{5 \left(\cosh^{4}\left(f x +e \right)\right)}{96}-\frac{5 \left(\cosh^{2}\left(f x +e \right)\right)}{32}\right)+4 c^{2} f^{2} \left(\left(\frac{\left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \cosh \left(f x +e \right)}{16}\right) \sinh \left(f x +e \right)+\frac{5 f x}{16}+\frac{5 e}{16}\right)-8 c d f e \left(\left(\frac{\left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \cosh \left(f x +e \right)}{16}\right) \sinh \left(f x +e \right)+\frac{5 f x}{16}+\frac{5 e}{16}\right)+4 d^{2} e^{2} \left(\left(\frac{\left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \cosh \left(f x +e \right)}{16}\right) \sinh \left(f x +e \right)+\frac{5 f x}{16}+\frac{5 e}{16}\right)-4 d^{2} \left(\frac{\left(f x +e \right)^{2} \left(\cosh^{6}\left(f x +e \right)\right)}{6}-\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{5}\left(f x +e \right)\right)}{18}-\frac{5 \left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{72}-\frac{5 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{48}-\frac{5 \left(f x +e \right)^{2}}{96}+\frac{\left(\cosh^{6}\left(f x +e \right)\right)}{108}+\frac{5 \left(\cosh^{4}\left(f x +e \right)\right)}{288}+\frac{5 \left(\cosh^{2}\left(f x +e \right)\right)}{96}\right)-8 c d f \left(\frac{\left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)}{6}-\frac{\left(\cosh^{5}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{36}-\frac{5 \left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{144}-\frac{5 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{96}-\frac{5 f x}{96}-\frac{5 e}{96}\right)+8 e \,d^{2} \left(\frac{\left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)}{6}-\frac{\left(\cosh^{5}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{36}-\frac{5 \left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{144}-\frac{5 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{96}-\frac{5 f x}{96}-\frac{5 e}{96}\right)-\frac{2 \left(\cosh^{6}\left(f x +e \right)\right) c^{2} f^{2}}{3}+\frac{4 \left(\cosh^{6}\left(f x +e \right)\right) c d f e}{3}-\frac{2 \left(\cosh^{6}\left(f x +e \right)\right) d^{2} e^{2}}{3}-3 d^{2} \left(\frac{\left(f x +e \right)^{2} \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right)^{2} \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{\left(f x +e \right)^{3}}{8}-\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{8}+\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{32}+\frac{15 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{64}+\frac{15 f x}{64}+\frac{15 e}{64}-\frac{3 \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)}{8}\right)-6 c d f \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{3 \left(f x +e \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)+6 e \,d^{2} \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{3 \left(f x +e \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)-3 c^{2} f^{2} \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)+6 c d f e \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)-3 d^{2} e^{2} \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)+d^{2} \left(\frac{\left(f x +e \right)^{2} \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{8}-\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{16}-\frac{3 \left(f x +e \right)^{2}}{32}+\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{32}+\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{32}\right)+2 c d f \left(\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{16}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{32}-\frac{3 f x}{32}-\frac{3 e}{32}\right)-2 e \,d^{2} \left(\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{16}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{32}-\frac{3 f x}{32}-\frac{3 e}{32}\right)+\frac{\left(\cosh^{4}\left(f x +e \right)\right) c^{2} f^{2}}{4}-\frac{\left(\cosh^{4}\left(f x +e \right)\right) c d f e}{2}+\frac{\left(\cosh^{4}\left(f x +e \right)\right) d^{2} e^{2}}{4}}{f^{3} a^{3}}"," ",0,"1/f^3/a^3*(4*d^2*(1/6*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+5/48*(f*x+e)^3-1/18*(f*x+e)*cosh(f*x+e)^6+1/108*cosh(f*x+e)^5*sinh(f*x+e)+65/1728*cosh(f*x+e)^3*sinh(f*x+e)+245/1152*cosh(f*x+e)*sinh(f*x+e)+245/1152*f*x+245/1152*e-5/48*(f*x+e)*cosh(f*x+e)^4-5/16*(f*x+e)*cosh(f*x+e)^2)+8*c*d*f*(1/6*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+5/32*(f*x+e)^2-1/36*cosh(f*x+e)^6-5/96*cosh(f*x+e)^4-5/32*cosh(f*x+e)^2)-8*e*d^2*(1/6*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+5/32*(f*x+e)^2-1/36*cosh(f*x+e)^6-5/96*cosh(f*x+e)^4-5/32*cosh(f*x+e)^2)+4*c^2*f^2*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)-8*c*d*f*e*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)+4*d^2*e^2*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)-4*d^2*(1/6*(f*x+e)^2*cosh(f*x+e)^6-1/18*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5-5/72*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-5/48*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-5/96*(f*x+e)^2+1/108*cosh(f*x+e)^6+5/288*cosh(f*x+e)^4+5/96*cosh(f*x+e)^2)-8*c*d*f*(1/6*(f*x+e)*cosh(f*x+e)^6-1/36*cosh(f*x+e)^5*sinh(f*x+e)-5/144*cosh(f*x+e)^3*sinh(f*x+e)-5/96*cosh(f*x+e)*sinh(f*x+e)-5/96*f*x-5/96*e)+8*e*d^2*(1/6*(f*x+e)*cosh(f*x+e)^6-1/36*cosh(f*x+e)^5*sinh(f*x+e)-5/144*cosh(f*x+e)^3*sinh(f*x+e)-5/96*cosh(f*x+e)*sinh(f*x+e)-5/96*f*x-5/96*e)-2/3*cosh(f*x+e)^6*c^2*f^2+4/3*cosh(f*x+e)^6*c*d*f*e-2/3*cosh(f*x+e)^6*d^2*e^2-3*d^2*(1/4*(f*x+e)^2*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)^2*cosh(f*x+e)*sinh(f*x+e)+1/8*(f*x+e)^3-1/8*(f*x+e)*cosh(f*x+e)^4+1/32*cosh(f*x+e)^3*sinh(f*x+e)+15/64*cosh(f*x+e)*sinh(f*x+e)+15/64*f*x+15/64*e-3/8*(f*x+e)*cosh(f*x+e)^2)-6*c*d*f*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)+6*e*d^2*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)-3*c^2*f^2*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+6*c*d*f*e*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)-3*d^2*e^2*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+d^2*(1/4*(f*x+e)^2*cosh(f*x+e)^4-1/8*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3-3/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)-3/32*(f*x+e)^2+1/32*cosh(f*x+e)^4+3/32*cosh(f*x+e)^2)+2*c*d*f*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)-2*e*d^2*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)+1/4*cosh(f*x+e)^4*c^2*f^2-1/2*cosh(f*x+e)^4*c*d*f*e+1/4*cosh(f*x+e)^4*d^2*e^2)","B"
45,1,533,174,0.286000," ","int((d*x+c)/(a+a*tanh(f*x+e))^3,x)","\frac{4 d \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{16}+\frac{5 \left(f x +e \right)^{2}}{32}-\frac{\left(\cosh^{6}\left(f x +e \right)\right)}{36}-\frac{5 \left(\cosh^{4}\left(f x +e \right)\right)}{96}-\frac{5 \left(\cosh^{2}\left(f x +e \right)\right)}{32}\right)+4 c f \left(\left(\frac{\left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \cosh \left(f x +e \right)}{16}\right) \sinh \left(f x +e \right)+\frac{5 f x}{16}+\frac{5 e}{16}\right)-4 d e \left(\left(\frac{\left(\cosh^{5}\left(f x +e \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(f x +e \right)\right)}{24}+\frac{5 \cosh \left(f x +e \right)}{16}\right) \sinh \left(f x +e \right)+\frac{5 f x}{16}+\frac{5 e}{16}\right)-4 d \left(\frac{\left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)}{6}-\frac{\left(\cosh^{5}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{36}-\frac{5 \left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{144}-\frac{5 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{96}-\frac{5 f x}{96}-\frac{5 e}{96}\right)-\frac{2 \left(\cosh^{6}\left(f x +e \right)\right) c f}{3}+\frac{2 \left(\cosh^{6}\left(f x +e \right)\right) d e}{3}-3 d \left(\frac{\left(f x +e \right) \sinh \left(f x +e \right) \left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \left(f x +e \right) \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{8}+\frac{3 \left(f x +e \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(f x +e \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(f x +e \right)\right)}{16}\right)-3 c f \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)+3 d e \left(\left(\frac{\left(\cosh^{3}\left(f x +e \right)\right)}{4}+\frac{3 \cosh \left(f x +e \right)}{8}\right) \sinh \left(f x +e \right)+\frac{3 f x}{8}+\frac{3 e}{8}\right)+d \left(\frac{\left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)}{4}-\frac{\left(\cosh^{3}\left(f x +e \right)\right) \sinh \left(f x +e \right)}{16}-\frac{3 \cosh \left(f x +e \right) \sinh \left(f x +e \right)}{32}-\frac{3 f x}{32}-\frac{3 e}{32}\right)+\frac{\left(\cosh^{4}\left(f x +e \right)\right) c f}{4}-\frac{\left(\cosh^{4}\left(f x +e \right)\right) d e}{4}}{f^{2} a^{3}}"," ",0,"1/f^2/a^3*(4*d*(1/6*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^5+5/24*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+5/16*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+5/32*(f*x+e)^2-1/36*cosh(f*x+e)^6-5/96*cosh(f*x+e)^4-5/32*cosh(f*x+e)^2)+4*c*f*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)-4*d*e*((1/6*cosh(f*x+e)^5+5/24*cosh(f*x+e)^3+5/16*cosh(f*x+e))*sinh(f*x+e)+5/16*f*x+5/16*e)-4*d*(1/6*(f*x+e)*cosh(f*x+e)^6-1/36*cosh(f*x+e)^5*sinh(f*x+e)-5/144*cosh(f*x+e)^3*sinh(f*x+e)-5/96*cosh(f*x+e)*sinh(f*x+e)-5/96*f*x-5/96*e)-2/3*cosh(f*x+e)^6*c*f+2/3*cosh(f*x+e)^6*d*e-3*d*(1/4*(f*x+e)*sinh(f*x+e)*cosh(f*x+e)^3+3/8*(f*x+e)*cosh(f*x+e)*sinh(f*x+e)+3/16*(f*x+e)^2-1/16*cosh(f*x+e)^4-3/16*cosh(f*x+e)^2)-3*c*f*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+3*d*e*((1/4*cosh(f*x+e)^3+3/8*cosh(f*x+e))*sinh(f*x+e)+3/8*f*x+3/8*e)+d*(1/4*(f*x+e)*cosh(f*x+e)^4-1/16*cosh(f*x+e)^3*sinh(f*x+e)-3/32*cosh(f*x+e)*sinh(f*x+e)-3/32*f*x-3/32*e)+1/4*cosh(f*x+e)^4*c*f-1/4*cosh(f*x+e)^4*d*e)","B"
46,1,151,411,1.063000," ","int(1/(d*x+c)/(a+a*tanh(f*x+e))^3,x)","\frac{\ln \left(d x +c \right)}{8 a^{3} d}-\frac{{\mathrm e}^{\frac{6 c f -6 d e}{d}} \Ei \left(1, 6 f x +6 e +\frac{6 c f -6 d e}{d}\right)}{8 a^{3} d}-\frac{3 \,{\mathrm e}^{\frac{4 c f -4 d e}{d}} \Ei \left(1, 4 f x +4 e +\frac{4 c f -4 d e}{d}\right)}{8 a^{3} d}-\frac{3 \,{\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{8 a^{3} d}"," ",0,"1/8*ln(d*x+c)/a^3/d-1/8/a^3/d*exp(6*(c*f-d*e)/d)*Ei(1,6*f*x+6*e+6*(c*f-d*e)/d)-3/8/a^3/d*exp(4*(c*f-d*e)/d)*Ei(1,4*f*x+4*e+4*(c*f-d*e)/d)-3/8/a^3/d*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
47,1,239,648,2.114000," ","int(1/(d*x+c)^2/(a+a*tanh(f*x+e))^3,x)","-\frac{1}{8 a^{3} d \left(d x +c \right)}-\frac{f \,{\mathrm e}^{-6 f x -6 e}}{8 a^{3} d \left(d f x +c f \right)}+\frac{3 f \,{\mathrm e}^{\frac{6 c f -6 d e}{d}} \Ei \left(1, 6 f x +6 e +\frac{6 c f -6 d e}{d}\right)}{4 a^{3} d^{2}}-\frac{3 f \,{\mathrm e}^{-4 f x -4 e}}{8 a^{3} d \left(d f x +c f \right)}+\frac{3 f \,{\mathrm e}^{\frac{4 c f -4 d e}{d}} \Ei \left(1, 4 f x +4 e +\frac{4 c f -4 d e}{d}\right)}{2 a^{3} d^{2}}-\frac{3 f \,{\mathrm e}^{-2 f x -2 e}}{8 a^{3} d \left(d f x +c f \right)}+\frac{3 f \,{\mathrm e}^{\frac{2 c f -2 d e}{d}} \Ei \left(1, 2 f x +2 e +\frac{2 c f -2 d e}{d}\right)}{4 a^{3} d^{2}}"," ",0,"-1/8/a^3/d/(d*x+c)-1/8*f/a^3*exp(-6*f*x-6*e)/d/(d*f*x+c*f)+3/4*f/a^3/d^2*exp(6*(c*f-d*e)/d)*Ei(1,6*f*x+6*e+6*(c*f-d*e)/d)-3/8*f/a^3*exp(-4*f*x-4*e)/d/(d*f*x+c*f)+3/2*f/a^3/d^2*exp(4*(c*f-d*e)/d)*Ei(1,4*f*x+4*e+4*(c*f-d*e)/d)-3/8*f/a^3*exp(-2*f*x-2*e)/d/(d*f*x+c*f)+3/4*f/a^3/d^2*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)","A"
48,0,0,22,0.255000," ","int((d*x+c)^m*(a+a*tanh(f*x+e))^2,x)","\int \left(d x +c \right)^{m} \left(a +a \tanh \left(f x +e \right)\right)^{2}\, dx"," ",0,"int((d*x+c)^m*(a+a*tanh(f*x+e))^2,x)","F"
49,0,0,20,0.335000," ","int((d*x+c)^m*(a+a*tanh(f*x+e)),x)","\int \left(d x +c \right)^{m} \left(a +a \tanh \left(f x +e \right)\right)\, dx"," ",0,"int((d*x+c)^m*(a+a*tanh(f*x+e)),x)","F"
50,0,0,86,0.379000," ","int((d*x+c)^m/(a+a*tanh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{m}}{a +a \tanh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^m/(a+a*tanh(f*x+e)),x)","F"
51,0,0,149,0.372000," ","int((d*x+c)^m/(a+a*tanh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +a \tanh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(a+a*tanh(f*x+e))^2,x)","F"
52,0,0,219,0.418000," ","int((d*x+c)^m/(a+a*tanh(f*x+e))^3,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +a \tanh \left(f x +e \right)\right)^{3}}\, dx"," ",0,"int((d*x+c)^m/(a+a*tanh(f*x+e))^3,x)","F"
53,1,452,127,0.296000," ","int((d*x+c)^3*(a+b*tanh(f*x+e)),x)","a c \,d^{2} x^{3}-b c \,d^{2} x^{3}+\frac{3 a \,c^{2} d \,x^{2}}{2}-\frac{3 b \,c^{2} d \,x^{2}}{2}-\frac{3 b \,e^{4} d^{3}}{2 f^{4}}+\frac{b \,c^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 b \,c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{3 b \,d^{3} \polylog \left(4, -{\mathrm e}^{2 f x +2 e}\right)}{4 f^{4}}+\frac{a \,d^{3} x^{4}}{4}-\frac{b \,d^{3} x^{4}}{4}+c^{3} a x +b \,c^{3} x -\frac{6 b \,c^{2} d e x}{f}+\frac{6 b c \,d^{2} e^{2} x}{f^{2}}+\frac{4 b c \,d^{2} e^{3}}{f^{3}}-\frac{2 b \,e^{3} d^{3} x}{f^{3}}-\frac{3 b \,c^{2} d \,e^{2}}{f^{2}}+\frac{b \,d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{3}}{f}+\frac{2 b \,d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}-\frac{3 b \,d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right) x}{2 f^{3}}+\frac{3 b \,c^{2} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}-\frac{3 b c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{3 b \,d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x^{2}}{2 f^{2}}+\frac{3 b \,c^{2} d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{3 b c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}-\frac{6 b c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{3 b c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{6 b \,c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}"," ",0,"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^2-3/2/f^4*b*e^4*d^3+1/f*b*c^3*ln(exp(2*f*x+2*e)+1)-2/f*b*c^3*ln(exp(f*x+e))+3/4*b*d^3*polylog(4,-exp(2*f*x+2*e))/f^4+1/4*a*d^3*x^4-1/4*b*d^3*x^4+c^3*a*x+b*c^3*x-6/f*b*c^2*d*e*x+6/f^2*b*c*d^2*e^2*x+3/f^2*b*c*d^2*polylog(2,-exp(2*f*x+2*e))*x+4/f^3*b*c*d^2*e^3-2/f^3*b*e^3*d^3*x-3/f^2*b*c^2*d*e^2-3/2/f^3*b*d^3*polylog(3,-exp(2*f*x+2*e))*x+1/f*b*d^3*ln(exp(2*f*x+2*e)+1)*x^3+3/2/f^2*b*c^2*d*polylog(2,-exp(2*f*x+2*e))+2/f^4*b*d^3*e^3*ln(exp(f*x+e))-3/2/f^3*b*c*d^2*polylog(3,-exp(2*f*x+2*e))+3/2/f^2*b*d^3*polylog(2,-exp(2*f*x+2*e))*x^2+3/f*b*c^2*d*ln(exp(2*f*x+2*e)+1)*x-6/f^3*b*c*d^2*e^2*ln(exp(f*x+e))+3/f*b*c*d^2*ln(exp(2*f*x+2*e)+1)*x^2+6/f^2*b*c^2*d*e*ln(exp(f*x+e))","B"
54,1,272,97,0.279000," ","int((d*x+c)^2*(a+b*tanh(f*x+e)),x)","\frac{a \,d^{2} x^{3}}{3}-\frac{b \,d^{2} x^{3}}{3}+a c d \,x^{2}-b c d \,x^{2}+c^{2} a x +b \,c^{2} x +\frac{b \,c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 b \,c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{2 b \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{2 b \,d^{2} e^{2} x}{f^{2}}+\frac{4 b \,d^{2} e^{3}}{3 f^{3}}+\frac{b \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{b \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}-\frac{b \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{4 b c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{4 b d c e x}{f}-\frac{2 b d c \,e^{2}}{f^{2}}+\frac{2 b c d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{b c d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}"," ",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+c^2*a*x+b*c^2*x+1/f*b*c^2*ln(exp(2*f*x+2*e)+1)-2/f*b*c^2*ln(exp(f*x+e))-2/f^3*b*d^2*e^2*ln(exp(f*x+e))+2/f^2*b*d^2*e^2*x+4/3/f^3*b*d^2*e^3+1/f*b*d^2*ln(exp(2*f*x+2*e)+1)*x^2+1/f^2*b*d^2*polylog(2,-exp(2*f*x+2*e))*x-1/2*b*d^2*polylog(3,-exp(2*f*x+2*e))/f^3+4/f^2*b*c*d*e*ln(exp(f*x+e))-4/f*b*d*c*e*x-2/f^2*b*d*c*e^2+2/f*b*c*d*ln(exp(2*f*x+2*e)+1)*x+1/f^2*b*c*d*polylog(2,-exp(2*f*x+2*e))","B"
55,1,129,69,0.290000," ","int((d*x+c)*(a+b*tanh(f*x+e)),x)","\frac{a d \,x^{2}}{2}-\frac{b d \,x^{2}}{2}+a c x +b c x +\frac{b c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 b c \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{2 b d e x}{f}-\frac{b d \,e^{2}}{f^{2}}+\frac{b d \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f}+\frac{b d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{2 b d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}"," ",0,"1/2*a*d*x^2-1/2*b*d*x^2+a*c*x+b*c*x+1/f*b*c*ln(exp(2*f*x+2*e)+1)-2/f*b*c*ln(exp(f*x+e))-2/f*b*d*e*x-1/f^2*b*d*e^2+1/f*b*d*ln(exp(2*f*x+2*e)+1)*x+1/2*b*d*polylog(2,-exp(2*f*x+2*e))/f^2+2/f^2*b*d*e*ln(exp(f*x+e))","A"
56,0,0,20,0.460000," ","int((a+b*tanh(f*x+e))/(d*x+c),x)","\int \frac{a +b \tanh \left(f x +e \right)}{d x +c}\, dx"," ",0,"int((a+b*tanh(f*x+e))/(d*x+c),x)","F"
57,0,0,20,0.446000," ","int((a+b*tanh(f*x+e))/(d*x+c)^2,x)","\int \frac{a +b \tanh \left(f x +e \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*tanh(f*x+e))/(d*x+c)^2,x)","F"
58,1,873,267,0.528000," ","int((d*x+c)^3*(a+b*tanh(f*x+e))^2,x)","\frac{6 b^{2} d^{3} e^{2} x}{f^{3}}-\frac{6 b^{2} d^{2} c \,x^{2}}{f}-\frac{6 b^{2} d^{2} c \,e^{2}}{f^{3}}+b^{2} c^{3} x +\frac{12 b a c \,d^{2} e^{2} x}{f^{2}}-\frac{12 b a \,c^{2} d e x}{f}+\frac{12 b a \,c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{6 b a c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}+\frac{a^{2} d^{3} x^{4}}{4}+b^{2} c \,d^{2} x^{3}+a^{2} c \,d^{2} x^{3}-\frac{2 b^{2} d^{3} x^{3}}{f}+\frac{4 b^{2} d^{3} e^{3}}{f^{4}}+\frac{6 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a \,c^{2} d x}{f}-\frac{12 b a c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{6 b a c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}-\frac{3 b^{2} d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{4}}-\frac{3 b \,e^{4} a \,d^{3}}{f^{4}}+\frac{3 b^{2} d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f^{2}}-\frac{6 b^{2} d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{2 b a \,c^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}+\frac{3 b^{2} c^{2} d \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}-\frac{4 b a \,c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{6 b^{2} c^{2} d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{3 a b \,d^{3} \polylog \left(4, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{4}}+\frac{3 b^{2} d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{3}}+\frac{3 b^{2} c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}+\frac{2 b^{2} \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right)}{f \left({\mathrm e}^{2 f x +2 e}+1\right)}-\frac{a b \,d^{3} x^{4}}{2}+\frac{3 a^{2} c^{2} d \,x^{2}}{2}+\frac{3 b^{2} c^{2} d \,x^{2}}{2}+2 c^{3} a b x -2 a b c \,d^{2} x^{3}-3 a b \,c^{2} d \,x^{2}+\frac{b^{2} d^{3} x^{4}}{4}+c^{3} a^{2} x -\frac{6 b a \,c^{2} d \,e^{2}}{f^{2}}+\frac{8 b a c \,d^{2} e^{3}}{f^{3}}-\frac{4 b \,e^{3} a \,d^{3} x}{f^{3}}-\frac{12 b^{2} d^{2} c e x}{f^{2}}+\frac{2 b a \,d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{3}}{f}+\frac{4 b a \,d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{6 b^{2} c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f^{2}}+\frac{12 b^{2} c \,d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{3 b a \,d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x^{2}}{f^{2}}-\frac{3 b a \,d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{3}}+\frac{3 b a \,c^{2} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}-\frac{3 b a c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}"," ",0,"6/f^3*b^2*d^3*e^2*x-6/f*b^2*d^2*c*x^2-6/f^3*b^2*d^2*c*e^2+b^2*c^3*x+3/2*a*b*d^3*polylog(4,-exp(2*f*x+2*e))/f^4-3/2*b^2*d^3*polylog(3,-exp(2*f*x+2*e))/f^4+12/f^2*b*a*c*d^2*e^2*x-12/f*b*a*c^2*d*e*x+12/f^2*b*a*c^2*d*e*ln(exp(f*x+e))+6/f*b*a*c*d^2*ln(exp(2*f*x+2*e)+1)*x^2+6/f^2*b*a*c*d^2*polylog(2,-exp(2*f*x+2*e))*x+1/4*a^2*d^3*x^4+b^2*c*d^2*x^3+a^2*c*d^2*x^3-2/f*b^2*d^3*x^3+4/f^4*b^2*d^3*e^3+6/f*b*ln(exp(2*f*x+2*e)+1)*a*c^2*d*x-12/f^3*b*a*c*d^2*e^2*ln(exp(f*x+e))-3/f^4*b*e^4*a*d^3+3/f^2*b^2*d^3*ln(exp(2*f*x+2*e)+1)*x^2+3/f^3*b^2*d^3*polylog(2,-exp(2*f*x+2*e))*x-6/f^4*b^2*d^3*e^2*ln(exp(f*x+e))+3/f^3*b^2*c*d^2*polylog(2,-exp(2*f*x+2*e))+2/f*b*a*c^3*ln(exp(2*f*x+2*e)+1)+3/f^2*b^2*c^2*d*ln(exp(2*f*x+2*e)+1)-4/f*b*a*c^3*ln(exp(f*x+e))-6/f^2*b^2*c^2*d*ln(exp(f*x+e))+2/f*b^2*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/(exp(2*f*x+2*e)+1)-1/2*a*b*d^3*x^4+3/2*a^2*c^2*d*x^2+3/2*b^2*c^2*d*x^2+2*c^3*a*b*x-2*a*b*c*d^2*x^3-3*a*b*c^2*d*x^2+1/4*b^2*d^3*x^4+c^3*a^2*x-6/f^2*b*a*c^2*d*e^2+8/f^3*b*a*c*d^2*e^3-4/f^3*b*e^3*a*d^3*x-12/f^2*b^2*d^2*c*e*x+2/f*b*a*d^3*ln(exp(2*f*x+2*e)+1)*x^3+3/f^2*b*a*d^3*polylog(2,-exp(2*f*x+2*e))*x^2-3/f^3*b*a*d^3*polylog(3,-exp(2*f*x+2*e))*x+4/f^4*b*a*d^3*e^3*ln(exp(f*x+e))+3/f^2*b*a*c^2*d*polylog(2,-exp(2*f*x+2*e))-3/f^3*b*a*c*d^2*polylog(3,-exp(2*f*x+2*e))+6/f^2*b^2*c*d^2*ln(exp(2*f*x+2*e)+1)*x+12/f^3*b^2*c*d^2*e*ln(exp(f*x+e))","B"
59,1,510,205,0.466000," ","int((d*x+c)^2*(a+b*tanh(f*x+e))^2,x)","-\frac{4 b a c d \,e^{2}}{f^{2}}+\frac{4 b a \,d^{2} e^{2} x}{f^{2}}+\frac{2 b a \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f}-\frac{4 b a \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{2 b a c d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}+\frac{2 b a \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{2}}+b^{2} c d \,x^{2}+a^{2} c d \,x^{2}-\frac{8 b a c d e x}{f}+\frac{4 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a c d x}{f}+\frac{8 b a c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{a^{2} d^{2} x^{3}}{3}+\frac{b^{2} d^{2} x^{3}}{3}+c^{2} a^{2} x +c^{2} b^{2} x -\frac{2 b^{2} d^{2} x^{2}}{f}-\frac{2 b^{2} d^{2} e^{2}}{f^{3}}+\frac{b^{2} d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}-\frac{4 b^{2} d^{2} e x}{f^{2}}+\frac{2 b^{2} \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{f \left({\mathrm e}^{2 f x +2 e}+1\right)}-\frac{2 a b \,d^{2} x^{3}}{3}+2 c^{2} a b x +\frac{8 b a \,d^{2} e^{3}}{3 f^{3}}-\frac{4 b a \,c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{2 b a \,c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{4 b^{2} c d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{2 b^{2} c d \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}+\frac{4 b^{2} d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{2 b^{2} d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f^{2}}-\frac{a b \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}-2 a b c d \,x^{2}"," ",0,"b^2*d^2*polylog(2,-exp(2*f*x+2*e))/f^3-4/f^2*b*a*c*d*e^2+4/f^2*b*a*d^2*e^2*x+2/f^2*b*a*c*d*polylog(2,-exp(2*f*x+2*e))+2/f*b*a*d^2*ln(exp(2*f*x+2*e)+1)*x^2+2/f^2*b*a*d^2*polylog(2,-exp(2*f*x+2*e))*x-4/f^3*b*a*d^2*e^2*ln(exp(f*x+e))+b^2*c*d*x^2+a^2*c*d*x^2-8/f*b*a*c*d*e*x+4/f*b*ln(exp(2*f*x+2*e)+1)*a*c*d*x+8/f^2*b*a*c*d*e*ln(exp(f*x+e))+1/3*a^2*d^2*x^3+1/3*b^2*d^2*x^3+c^2*a^2*x+c^2*b^2*x-2/f*b^2*d^2*x^2-2/f^3*b^2*d^2*e^2-4/f^2*b^2*d^2*e*x+2/f*b^2*(d^2*x^2+2*c*d*x+c^2)/(exp(2*f*x+2*e)+1)-2/3*a*b*d^2*x^3+2*c^2*a*b*x-a*b*d^2*polylog(3,-exp(2*f*x+2*e))/f^3+8/3/f^3*b*a*d^2*e^3-4/f*b*a*c^2*ln(exp(f*x+e))+2/f*b*a*c^2*ln(exp(2*f*x+2*e)+1)-4/f^2*b^2*c*d*ln(exp(f*x+e))+2/f^2*b^2*c*d*ln(exp(2*f*x+2*e)+1)+4/f^3*b^2*d^2*e*ln(exp(f*x+e))+2/f^2*b^2*d^2*ln(exp(2*f*x+2*e)+1)*x-2*a*b*c*d*x^2","B"
60,1,221,123,0.411000," ","int((d*x+c)*(a+b*tanh(f*x+e))^2,x)","\frac{a^{2} d \,x^{2}}{2}-a b d \,x^{2}+\frac{b^{2} d \,x^{2}}{2}+a^{2} c x +2 c a b x +b^{2} c x +\frac{2 b^{2} \left(d x +c \right)}{f \left({\mathrm e}^{2 f x +2 e}+1\right)}+\frac{b^{2} d \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}-\frac{2 b^{2} d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{4 b a c \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{2 b a c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}+\frac{4 b d a e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{4 b a d e x}{f}-\frac{2 b a d \,e^{2}}{f^{2}}+\frac{2 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a d x}{f}+\frac{a b d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}"," ",0,"1/2*a^2*d*x^2-a*b*d*x^2+1/2*b^2*d*x^2+a^2*c*x+2*c*a*b*x+b^2*c*x+2/f*b^2*(d*x+c)/(exp(2*f*x+2*e)+1)+1/f^2*b^2*d*ln(exp(2*f*x+2*e)+1)-2/f^2*b^2*d*ln(exp(f*x+e))-4/f*b*a*c*ln(exp(f*x+e))+2/f*b*a*c*ln(exp(2*f*x+2*e)+1)+4/f^2*b*d*a*e*ln(exp(f*x+e))-4/f*b*a*d*e*x-2/f^2*b*a*d*e^2+2/f*b*ln(exp(2*f*x+2*e)+1)*a*d*x+a*b*d*polylog(2,-exp(2*f*x+2*e))/f^2","A"
61,0,0,22,0.810000," ","int((a+b*tanh(f*x+e))^2/(d*x+c),x)","\int \frac{\left(a +b \tanh \left(f x +e \right)\right)^{2}}{d x +c}\, dx"," ",0,"int((a+b*tanh(f*x+e))^2/(d*x+c),x)","F"
62,0,0,22,0.940000," ","int((a+b*tanh(f*x+e))^2/(d*x+c)^2,x)","\int \frac{\left(a +b \tanh \left(f x +e \right)\right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*tanh(f*x+e))^2/(d*x+c)^2,x)","F"
63,1,1788,534,0.668000," ","int((d*x+c)^3*(a+b*tanh(f*x+e))^3,x)","\frac{a^{3} d^{3} x^{4}}{4}-\frac{b^{3} d^{3} x^{4}}{4}+c^{3} a^{3} x +c^{3} b^{3} x +a^{3} c \,d^{2} x^{3}-b^{3} c \,d^{2} x^{3}-\frac{36 b^{2} a c \,d^{2} e x}{f^{2}}+\frac{18 b \,a^{2} c \,d^{2} e^{2} x}{f^{2}}+\frac{4 b^{3} c \,d^{2} e^{3}}{f^{3}}-\frac{2 b^{3} e^{3} d^{3} x}{f^{3}}-\frac{9 b \,e^{4} a^{2} d^{3}}{2 f^{4}}-\frac{6 b^{2} a \,d^{3} x^{3}}{f}+\frac{12 b^{2} a \,d^{3} e^{3}}{f^{4}}-\frac{6 b^{3} d^{3} e x}{f^{3}}-\frac{3 b^{3} c^{2} d \,e^{2}}{f^{2}}+\frac{2 b^{3} d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{6 b^{3} d^{3} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{3 b^{3} d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x}{f^{3}}+\frac{b^{3} d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{3}}{f}+\frac{3 b^{3} c \,d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{3}}+\frac{3 b \,a^{2} c^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{6 b \,a^{2} c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{6 b^{3} c \,d^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{9 b \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) a^{2} c \,d^{2} x}{f^{2}}-\frac{3 b^{3} e^{2} d^{3}}{f^{4}}-\frac{3 b^{3} d^{3} x^{2}}{f^{2}}-\frac{3 b^{3} e^{4} d^{3}}{2 f^{4}}-3 a^{2} b c \,d^{2} x^{3}+3 a \,b^{2} c \,d^{2} x^{3}-\frac{9 a^{2} b \,c^{2} d \,x^{2}}{2}+\frac{9 a \,b^{2} c^{2} d \,x^{2}}{2}-\frac{18 b \,a^{2} c^{2} d e x}{f}+\frac{b^{3} c^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 b^{3} c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{3 b^{3} d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{4}}+\frac{3 b^{3} d^{3} \polylog \left(4, -{\mathrm e}^{2 f x +2 e}\right)}{4 f^{4}}+\frac{b^{2} \left(6 a \,d^{3} f \,x^{3} {\mathrm e}^{2 f x +2 e}+2 b \,d^{3} f \,x^{3} {\mathrm e}^{2 f x +2 e}+18 a c \,d^{2} f \,x^{2} {\mathrm e}^{2 f x +2 e}+6 b c \,d^{2} f \,x^{2} {\mathrm e}^{2 f x +2 e}+18 a \,c^{2} d f x \,{\mathrm e}^{2 f x +2 e}+6 a \,d^{3} f \,x^{3}+6 b \,c^{2} d f x \,{\mathrm e}^{2 f x +2 e}+3 b \,d^{3} x^{2} {\mathrm e}^{2 f x +2 e}+6 a \,c^{3} f \,{\mathrm e}^{2 f x +2 e}+18 a c \,d^{2} f \,x^{2}+2 b \,c^{3} f \,{\mathrm e}^{2 f x +2 e}+6 b c \,d^{2} x \,{\mathrm e}^{2 f x +2 e}+18 a \,c^{2} d f x +3 b \,c^{2} d \,{\mathrm e}^{2 f x +2 e}+3 b \,d^{3} x^{2}+6 a \,c^{3} f +6 b c \,d^{2} x +3 b \,c^{2} d \right)}{f^{2} \left({\mathrm e}^{2 f x +2 e}+1\right)^{2}}-\frac{3 a^{2} b \,d^{3} x^{4}}{4}+\frac{3 a \,b^{2} d^{3} x^{4}}{4}+\frac{3 a^{3} c^{2} d \,x^{2}}{2}-\frac{3 b^{3} c^{2} d \,x^{2}}{2}+3 c^{3} a^{2} b x +3 c^{3} a \,b^{2} x +\frac{12 b \,a^{2} c \,d^{2} e^{3}}{f^{3}}-\frac{9 b \,a^{2} c^{2} d \,e^{2}}{f^{2}}+\frac{18 b^{2} a \,d^{3} e^{2} x}{f^{3}}-\frac{18 b^{2} a c \,d^{2} e^{2}}{f^{3}}-\frac{6 b \,e^{3} a^{2} d^{3} x}{f^{3}}+\frac{6 b^{3} c \,d^{2} e^{2} x}{f^{2}}-\frac{18 b^{2} a c \,d^{2} x^{2}}{f}-\frac{6 b^{3} c^{2} d e x}{f}+\frac{9 b^{2} a \,d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{2}}{f^{2}}+\frac{6 b \,a^{2} d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}-\frac{6 b^{3} c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}-\frac{18 b^{2} a \,c^{2} d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{6 b^{3} c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{18 b^{2} a \,d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4}}+\frac{9 b^{2} a \,c^{2} d \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}+\frac{3 b \,a^{2} d^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) x^{3}}{f}+\frac{3 b^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) c \,d^{2} x^{2}}{f}+\frac{3 b^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) c^{2} d x}{f}+\frac{9 b^{2} a c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}+\frac{9 b \,a^{2} c^{2} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{9 b \,a^{2} d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x^{2}}{2 f^{2}}-\frac{9 b \,a^{2} d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right) x}{2 f^{3}}-\frac{9 b \,a^{2} c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{9 b^{2} a \,d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x}{f^{3}}+\frac{3 b^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) c \,d^{2} x}{f^{2}}+\frac{18 b \,a^{2} c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{36 b^{2} a c \,d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{9 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a^{2} c \,d^{2} x^{2}}{f}-\frac{18 b \,a^{2} c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{9 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a^{2} c^{2} d x}{f}+\frac{18 b^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a c \,d^{2} x}{f^{2}}+\frac{3 b^{3} c^{2} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{3 b^{3} d^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) x^{2}}{2 f^{2}}-\frac{3 b^{3} d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right) x}{2 f^{3}}-\frac{3 b^{3} c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}-\frac{9 a \,b^{2} d^{3} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{4}}+\frac{9 a^{2} b \,d^{3} \polylog \left(4, -{\mathrm e}^{2 f x +2 e}\right)}{4 f^{4}}"," ",0,"1/4*a^3*d^3*x^4-1/4*b^3*d^3*x^4+c^3*a^3*x+c^3*b^3*x+a^3*c*d^2*x^3-b^3*c*d^2*x^3-36/f^2*b^2*a*c*d^2*e*x+18/f^2*b*a^2*c*d^2*e^2*x+4/f^3*b^3*c*d^2*e^3-2/f^3*b^3*e^3*d^3*x-9/2/f^4*b*e^4*a^2*d^3-6/f*b^2*a*d^3*x^3+12/f^4*b^2*a*d^3*e^3-6/f^3*b^3*d^3*e*x-3/f^2*b^3*c^2*d*e^2+3/2/f^2*b^3*c^2*d*polylog(2,-exp(2*f*x+2*e))+2/f^4*b^3*d^3*e^3*ln(exp(f*x+e))+6/f^4*b^3*d^3*e*ln(exp(f*x+e))+3/f^3*b^3*d^3*ln(exp(2*f*x+2*e)+1)*x+1/f*b^3*d^3*ln(exp(2*f*x+2*e)+1)*x^3+3/2/f^2*b^3*d^3*polylog(2,-exp(2*f*x+2*e))*x^2-3/2/f^3*b^3*d^3*polylog(3,-exp(2*f*x+2*e))*x+3/f^3*b^3*c*d^2*ln(exp(2*f*x+2*e)+1)+3/f*b*a^2*c^3*ln(exp(2*f*x+2*e)+1)-6/f*b*a^2*c^3*ln(exp(f*x+e))-6/f^3*b^3*c*d^2*ln(exp(f*x+e))-3/2/f^3*b^3*c*d^2*polylog(3,-exp(2*f*x+2*e))-3/f^4*b^3*e^2*d^3-3/f^2*b^3*d^3*x^2-3/2/f^4*b^3*e^4*d^3-9/2*a*b^2*d^3*polylog(3,-exp(2*f*x+2*e))/f^4+3/2*b^3*d^3*polylog(2,-exp(2*f*x+2*e))/f^4+3/4*b^3*d^3*polylog(4,-exp(2*f*x+2*e))/f^4-3*a^2*b*c*d^2*x^3+3*a*b^2*c*d^2*x^3-9/2*a^2*b*c^2*d*x^2+9/2*a*b^2*c^2*d*x^2-18/f*b*a^2*c^2*d*e*x+1/f*b^3*c^3*ln(exp(2*f*x+2*e)+1)-2/f*b^3*c^3*ln(exp(f*x+e))+9/4*a^2*b*d^3*polylog(4,-exp(2*f*x+2*e))/f^4+b^2*(6*a*d^3*f*x^3*exp(2*f*x+2*e)+2*b*d^3*f*x^3*exp(2*f*x+2*e)+18*a*c*d^2*f*x^2*exp(2*f*x+2*e)+6*b*c*d^2*f*x^2*exp(2*f*x+2*e)+18*a*c^2*d*f*x*exp(2*f*x+2*e)+6*a*d^3*f*x^3+6*b*c^2*d*f*x*exp(2*f*x+2*e)+3*b*d^3*x^2*exp(2*f*x+2*e)+6*a*c^3*f*exp(2*f*x+2*e)+18*a*c*d^2*f*x^2+2*b*c^3*f*exp(2*f*x+2*e)+6*b*c*d^2*x*exp(2*f*x+2*e)+18*a*c^2*d*f*x+3*b*c^2*d*exp(2*f*x+2*e)+3*b*d^3*x^2+6*a*c^3*f+6*b*c*d^2*x+3*b*c^2*d)/f^2/(exp(2*f*x+2*e)+1)^2-3/4*a^2*b*d^3*x^4+3/4*a*b^2*d^3*x^4+3/2*a^3*c^2*d*x^2-3/2*b^3*c^2*d*x^2+3*c^3*a^2*b*x+3*c^3*a*b^2*x+12/f^3*b*a^2*c*d^2*e^3-9/f^2*b*a^2*c^2*d*e^2+18/f^3*b^2*a*d^3*e^2*x-18/f^3*b^2*a*c*d^2*e^2-6/f^3*b*e^3*a^2*d^3*x+6/f^2*b^3*c*d^2*e^2*x-18/f*b^2*a*c*d^2*x^2-6/f*b^3*c^2*d*e*x+9/f^2*b^2*a*d^3*ln(exp(2*f*x+2*e)+1)*x^2+9/f^3*b^2*a*c*d^2*polylog(2,-exp(2*f*x+2*e))+6/f^4*b*a^2*d^3*e^3*ln(exp(f*x+e))+9/2/f^2*b*a^2*c^2*d*polylog(2,-exp(2*f*x+2*e))-6/f^3*b^3*c*d^2*e^2*ln(exp(f*x+e))-18/f^2*b^2*a*c^2*d*ln(exp(f*x+e))+6/f^2*b^3*c^2*d*e*ln(exp(f*x+e))-18/f^4*b^2*a*d^3*e^2*ln(exp(f*x+e))+9/f^2*b^2*a*c^2*d*ln(exp(2*f*x+2*e)+1)+3/f*b*a^2*d^3*ln(exp(2*f*x+2*e)+1)*x^3+9/2/f^2*b*a^2*d^3*polylog(2,-exp(2*f*x+2*e))*x^2-9/2/f^3*b*a^2*d^3*polylog(3,-exp(2*f*x+2*e))*x-9/2/f^3*b*a^2*c*d^2*polylog(3,-exp(2*f*x+2*e))+9/f^3*b^2*a*d^3*polylog(2,-exp(2*f*x+2*e))*x+3/f*b^3*ln(exp(2*f*x+2*e)+1)*c*d^2*x^2+3/f^2*b^3*polylog(2,-exp(2*f*x+2*e))*c*d^2*x+3/f*b^3*ln(exp(2*f*x+2*e)+1)*c^2*d*x+18/f^2*b*a^2*c^2*d*e*ln(exp(f*x+e))+36/f^3*b^2*a*c*d^2*e*ln(exp(f*x+e))+9/f*b*ln(exp(2*f*x+2*e)+1)*a^2*c*d^2*x^2+9/f^2*b*polylog(2,-exp(2*f*x+2*e))*a^2*c*d^2*x-18/f^3*b*a^2*c*d^2*e^2*ln(exp(f*x+e))+9/f*b*ln(exp(2*f*x+2*e)+1)*a^2*c^2*d*x+18/f^2*b^2*ln(exp(2*f*x+2*e)+1)*a*c*d^2*x","B"
64,1,1022,393,0.587000," ","int((d*x+c)^2*(a+b*tanh(f*x+e))^3,x)","-3 a^{2} b c d \,x^{2}+3 a \,b^{2} c d \,x^{2}+\frac{4 b \,a^{2} d^{2} e^{3}}{f^{3}}+\frac{2 b^{3} d^{2} e^{2} x}{f^{2}}-\frac{6 b^{2} a \,d^{2} e^{2}}{f^{3}}-\frac{2 b^{3} c d \,e^{2}}{f^{2}}-\frac{6 b^{2} a \,d^{2} x^{2}}{f}+\frac{3 b \,a^{2} c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 b^{3} d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}-\frac{6 b \,a^{2} c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{b^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) d^{2} x^{2}}{f}+\frac{b^{3} c d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}+\frac{b^{3} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) d^{2} x}{f^{2}}+\frac{3 a \,b^{2} d^{2} \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{3}}-\frac{3 a^{2} b \,d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}-a^{2} b \,d^{2} x^{3}+a \,b^{2} d^{2} x^{3}+a^{3} c d \,x^{2}-b^{3} c d \,x^{2}+\frac{a^{3} d^{2} x^{3}}{3}-\frac{b^{3} d^{2} x^{3}}{3}+c^{2} a^{3} x +b^{3} c^{2} x +\frac{4 b^{3} d^{2} e^{3}}{3 f^{3}}-\frac{2 b^{3} d^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{b^{3} d^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{3}}+\frac{b^{3} c^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{2 b^{3} c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f}-\frac{b^{3} d^{2} \polylog \left(3, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{3}}+\frac{2 b^{2} \left(3 a \,d^{2} f \,x^{2} {\mathrm e}^{2 f x +2 e}+b \,d^{2} f \,x^{2} {\mathrm e}^{2 f x +2 e}+6 a c d f x \,{\mathrm e}^{2 f x +2 e}+2 b c d f x \,{\mathrm e}^{2 f x +2 e}+3 a \,c^{2} f \,{\mathrm e}^{2 f x +2 e}+3 a \,d^{2} f \,x^{2}+b \,c^{2} f \,{\mathrm e}^{2 f x +2 e}+b \,d^{2} x \,{\mathrm e}^{2 f x +2 e}+6 a c d f x +b c d \,{\mathrm e}^{2 f x +2 e}+3 a \,c^{2} f +b \,d^{2} x +c b d \right)}{f^{2} \left({\mathrm e}^{2 f x +2 e}+1\right)^{2}}+3 c^{2} a^{2} b x +3 c^{2} a \,b^{2} x -\frac{12 b \,a^{2} c d e x}{f}+\frac{12 b \,a^{2} c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{6 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a^{2} c d x}{f}+\frac{6 b \,a^{2} d^{2} e^{2} x}{f^{2}}-\frac{6 b \,a^{2} c d \,e^{2}}{f^{2}}-\frac{4 b^{3} c d e x}{f}-\frac{12 b^{2} a \,d^{2} e x}{f^{2}}-\frac{12 b^{2} a c d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}-\frac{6 b \,a^{2} d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{3 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a^{2} d^{2} x^{2}}{f}+\frac{6 b^{2} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a \,d^{2} x}{f^{2}}+\frac{2 b^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) c d x}{f}+\frac{6 b^{2} a c d \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}+\frac{4 b^{3} c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{12 b^{2} a \,d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3}}+\frac{3 b \,a^{2} c d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{f^{2}}+\frac{3 b \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right) a^{2} d^{2} x}{f^{2}}"," ",0,"-3*a^2*b*c*d*x^2+3*a*b^2*c*d*x^2+4/f^3*b*a^2*d^2*e^3+2/f^2*b^3*d^2*e^2*x-6/f^3*b^2*a*d^2*e^2-2/f^2*b^3*c*d*e^2-6/f*b^2*a*d^2*x^2+1/f^2*b^3*c*d*polylog(2,-exp(2*f*x+2*e))+3/f*b*a^2*c^2*ln(exp(2*f*x+2*e)+1)-2/f^3*b^3*d^2*e^2*ln(exp(f*x+e))-6/f*b*a^2*c^2*ln(exp(f*x+e))+1/f*b^3*ln(exp(2*f*x+2*e)+1)*d^2*x^2+1/f^2*b^3*polylog(2,-exp(2*f*x+2*e))*d^2*x-1/2*b^3*d^2*polylog(3,-exp(2*f*x+2*e))/f^3-a^2*b*d^2*x^3+a*b^2*d^2*x^3+a^3*c*d*x^2-b^3*c*d*x^2+1/3*a^3*d^2*x^3-1/3*b^3*d^2*x^3+c^2*a^3*x+b^3*c^2*x+4/3/f^3*b^3*d^2*e^3-2/f^3*b^3*d^2*ln(exp(f*x+e))+1/f^3*b^3*d^2*ln(exp(2*f*x+2*e)+1)+1/f*b^3*c^2*ln(exp(2*f*x+2*e)+1)-2/f*b^3*c^2*ln(exp(f*x+e))+3*a*b^2*d^2*polylog(2,-exp(2*f*x+2*e))/f^3-3/2*a^2*b*d^2*polylog(3,-exp(2*f*x+2*e))/f^3+2*b^2*(3*a*d^2*f*x^2*exp(2*f*x+2*e)+b*d^2*f*x^2*exp(2*f*x+2*e)+6*a*c*d*f*x*exp(2*f*x+2*e)+2*b*c*d*f*x*exp(2*f*x+2*e)+3*a*c^2*f*exp(2*f*x+2*e)+3*a*d^2*f*x^2+b*c^2*f*exp(2*f*x+2*e)+b*d^2*x*exp(2*f*x+2*e)+6*a*c*d*f*x+b*c*d*exp(2*f*x+2*e)+3*a*c^2*f+b*d^2*x+c*b*d)/f^2/(exp(2*f*x+2*e)+1)^2+3*c^2*a^2*b*x+3*c^2*a*b^2*x-12/f*b*a^2*c*d*e*x+12/f^2*b*a^2*c*d*e*ln(exp(f*x+e))+6/f*b*ln(exp(2*f*x+2*e)+1)*a^2*c*d*x+6/f^2*b*a^2*d^2*e^2*x-6/f^2*b*a^2*c*d*e^2-4/f*b^3*c*d*e*x-12/f^2*b^2*a*d^2*e*x+3/f^2*b*a^2*c*d*polylog(2,-exp(2*f*x+2*e))+3/f^2*b*polylog(2,-exp(2*f*x+2*e))*a^2*d^2*x-12/f^2*b^2*a*c*d*ln(exp(f*x+e))-6/f^3*b*a^2*d^2*e^2*ln(exp(f*x+e))+3/f*b*ln(exp(2*f*x+2*e)+1)*a^2*d^2*x^2+6/f^2*b^2*ln(exp(2*f*x+2*e)+1)*a*d^2*x+2/f*b^3*ln(exp(2*f*x+2*e)+1)*c*d*x+6/f^2*b^2*a*c*d*ln(exp(2*f*x+2*e)+1)+4/f^2*b^3*c*d*e*ln(exp(f*x+e))+12/f^3*b^2*a*d^2*e*ln(exp(f*x+e))","B"
65,1,459,243,0.504000," ","int((d*x+c)*(a+b*tanh(f*x+e))^3,x)","-\frac{3 a^{2} b d \,x^{2}}{2}+3 c \,a^{2} b x +\frac{a^{3} d \,x^{2}}{2}-\frac{b^{3} d \,x^{2}}{2}+c \,a^{3} x +b^{3} c x +3 a \,b^{2} c x +\frac{3 a \,b^{2} d \,x^{2}}{2}-\frac{6 b \,a^{2} d e x}{f}+\frac{6 b d \,a^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{3 b \ln \left({\mathrm e}^{2 f x +2 e}+1\right) a^{2} d x}{f}-\frac{2 b^{3} d e x}{f}-\frac{3 b \,a^{2} d \,e^{2}}{f^{2}}+\frac{b^{3} \ln \left({\mathrm e}^{2 f x +2 e}+1\right) d x}{f}-\frac{6 b \,a^{2} c \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{3 b \,a^{2} c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}-\frac{6 b^{2} d a \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{3 b^{2} d a \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f^{2}}+\frac{2 b^{3} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2}}+\frac{3 a^{2} b d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}-\frac{b^{3} d \,e^{2}}{f^{2}}-\frac{2 b^{3} c \ln \left({\mathrm e}^{f x +e}\right)}{f}+\frac{b^{3} c \ln \left({\mathrm e}^{2 f x +2 e}+1\right)}{f}+\frac{b^{3} d \polylog \left(2, -{\mathrm e}^{2 f x +2 e}\right)}{2 f^{2}}+\frac{b^{2} \left(6 a d f x \,{\mathrm e}^{2 f x +2 e}+2 b d f x \,{\mathrm e}^{2 f x +2 e}+6 a c f \,{\mathrm e}^{2 f x +2 e}+2 b c f \,{\mathrm e}^{2 f x +2 e}+6 a d f x +b d \,{\mathrm e}^{2 f x +2 e}+6 a c f +b d \right)}{f^{2} \left({\mathrm e}^{2 f x +2 e}+1\right)^{2}}"," ",0,"-3/2*a^2*b*d*x^2+3*c*a^2*b*x+1/2*a^3*d*x^2-1/2*b^3*d*x^2+c*a^3*x+b^3*c*x+3*a*b^2*c*x+3/2*a*b^2*d*x^2+1/2*b^3*d*polylog(2,-exp(2*f*x+2*e))/f^2-6/f*b*a^2*d*e*x+6/f^2*b*d*a^2*e*ln(exp(f*x+e))+3/f*b*ln(exp(2*f*x+2*e)+1)*a^2*d*x-2/f*b^3*d*e*x-3/f^2*b*a^2*d*e^2+1/f*b^3*ln(exp(2*f*x+2*e)+1)*d*x-6/f*b*a^2*c*ln(exp(f*x+e))+3/f*b*a^2*c*ln(exp(2*f*x+2*e)+1)-6/f^2*b^2*d*a*ln(exp(f*x+e))+3/f^2*b^2*d*a*ln(exp(2*f*x+2*e)+1)+2/f^2*b^3*d*e*ln(exp(f*x+e))+3/2*a^2*b*d*polylog(2,-exp(2*f*x+2*e))/f^2-1/f^2*b^3*d*e^2-2/f*b^3*c*ln(exp(f*x+e))+1/f*b^3*c*ln(exp(2*f*x+2*e)+1)+b^2*(6*a*d*f*x*exp(2*f*x+2*e)+2*b*d*f*x*exp(2*f*x+2*e)+6*a*c*f*exp(2*f*x+2*e)+2*b*c*f*exp(2*f*x+2*e)+6*a*d*f*x+b*d*exp(2*f*x+2*e)+6*a*c*f+b*d)/f^2/(exp(2*f*x+2*e)+1)^2","A"
66,0,0,22,1.092000," ","int((a+b*tanh(f*x+e))^3/(d*x+c),x)","\int \frac{\left(a +b \tanh \left(f x +e \right)\right)^{3}}{d x +c}\, dx"," ",0,"int((a+b*tanh(f*x+e))^3/(d*x+c),x)","F"
67,0,0,22,1.213000," ","int((a+b*tanh(f*x+e))^3/(d*x+c)^2,x)","\int \frac{\left(a +b \tanh \left(f x +e \right)\right)^{3}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*tanh(f*x+e))^3/(d*x+c)^2,x)","F"
68,1,1143,209,0.679000," ","int((d*x+c)^3/(a+b*tanh(f*x+e)),x)","\frac{b \,d^{3} e^{3} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{4} \left(a +b \right) \left(a -b \right)}-\frac{2 b \,d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4} \left(a +b \right) \left(a -b \right)}+\frac{b \,d^{3} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{3}}{f \left(a +b \right) \left(-a +b \right)}-\frac{3 b c \,d^{2} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{2 f^{3} \left(a +b \right) \left(-a +b \right)}+\frac{3 b \,c^{2} d \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{2 f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{3 b \,d^{3} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{2 f^{2} \left(a +b \right) \left(-a +b \right)}-\frac{3 b \,d^{3} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{2 f^{3} \left(a +b \right) \left(-a +b \right)}+\frac{c \,d^{2} x^{3}}{a +b}+\frac{3 c^{2} d \,x^{2}}{2 \left(a +b \right)}+\frac{6 b c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3} \left(a +b \right) \left(a -b \right)}+\frac{3 b \,c^{2} d e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a +b \right) \left(a -b \right)}+\frac{3 b c \,d^{2} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{3 b \,c^{2} d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{3 b c \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{f \left(a +b \right) \left(-a +b \right)}-\frac{3 b c \,d^{2} e^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{3} \left(a +b \right) \left(a -b \right)}-\frac{3 b c \,d^{2} e^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a +b \right) \left(-a +b \right)}+\frac{3 b \,c^{2} d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f \left(a +b \right) \left(-a +b \right)}-\frac{6 b \,c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a +b \right) \left(a -b \right)}+\frac{6 b c \,d^{2} e^{2} x}{f^{2} \left(a +b \right) \left(-a +b \right)}-\frac{6 b \,c^{2} d e x}{f \left(a +b \right) \left(-a +b \right)}+\frac{c^{3} x}{a +b}-\frac{2 b \,e^{3} d^{3} x}{f^{3} \left(a +b \right) \left(-a +b \right)}-\frac{2 b c \,d^{2} x^{3}}{\left(a +b \right) \left(-a +b \right)}+\frac{4 b c \,d^{2} e^{3}}{f^{3} \left(a +b \right) \left(-a +b \right)}-\frac{3 b \,c^{2} d \,x^{2}}{\left(a +b \right) \left(-a +b \right)}-\frac{3 b \,c^{2} d \,e^{2}}{f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{b \,d^{3} e^{3} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{4} \left(a +b \right) \left(-a +b \right)}+\frac{d^{3} x^{4}}{4 a +4 b}-\frac{3 b \,e^{4} d^{3}}{2 f^{4} \left(a +b \right) \left(-a +b \right)}-\frac{b \,d^{3} x^{4}}{2 \left(a +b \right) \left(-a +b \right)}+\frac{2 b \,c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f \left(a +b \right) \left(a -b \right)}-\frac{b \,c^{3} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f \left(a +b \right) \left(a -b \right)}+\frac{3 b \,d^{3} \polylog \left(4, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{4 f^{4} \left(a +b \right) \left(-a +b \right)}"," ",0,"1/f^4*b/(a+b)*d^3*e^3/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-2/f^4*b/(a+b)*d^3*e^3/(a-b)*ln(exp(f*x+e))-3/2/f^3*b/(a+b)*c*d^2/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))+3/2/f^2*b/(a+b)*c^2*d/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))+1/f*b/(a+b)*d^3/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^3+3/2/f^2*b/(a+b)*d^3/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2-3/2/f^3*b/(a+b)*d^3/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))*x+1/(a+b)*c*d^2*x^3+3/2/(a+b)*c^2*d*x^2+6/f^3*b/(a+b)*c*d^2*e^2/(a-b)*ln(exp(f*x+e))+3/f^2*b/(a+b)*c^2*d*e/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+3/f^2*b/(a+b)*c^2*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e+3/f*b/(a+b)*c*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2+3/f^2*b/(a+b)*c*d^2/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x-3/f^3*b/(a+b)*c*d^2*e^2/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-3/f^3*b/(a+b)*c*d^2*e^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))+3/f*b/(a+b)*c^2*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x-6/f^2*b/(a+b)*c^2*d*e/(a-b)*ln(exp(f*x+e))+6/f^2*b/(a+b)/(-a+b)*c*d^2*e^2*x-6/f*b/(a+b)/(-a+b)*c^2*d*e*x+1/4/(a+b)*d^3*x^4+1/(a+b)*c^3*x-2/f^3*b/(a+b)/(-a+b)*e^3*d^3*x-2*b/(a+b)/(-a+b)*c*d^2*x^3+4/f^3*b/(a+b)/(-a+b)*c*d^2*e^3-3*b/(a+b)/(-a+b)*c^2*d*x^2-3/f^2*b/(a+b)/(-a+b)*c^2*d*e^2+1/f^4*b/(a+b)*d^3*e^3/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))-3/2/f^4*b/(a+b)/(-a+b)*e^4*d^3-1/2*b/(a+b)/(-a+b)*d^3*x^4+2/f*b/(a+b)*c^3/(a-b)*ln(exp(f*x+e))-1/f*b/(a+b)*c^3/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+3/4/f^4*b/(a+b)*d^3/(-a+b)*polylog(4,(a+b)*exp(2*f*x+2*e)/(-a+b))","B"
69,1,720,157,0.660000," ","int((d*x+c)^2/(a+b*tanh(f*x+e)),x)","\frac{d^{2} x^{3}}{3 a +3 b}+\frac{c d \,x^{2}}{a +b}+\frac{c^{2} x}{a +b}+\frac{2 b \,c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f \left(a +b \right) \left(a -b \right)}-\frac{b \,c^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f \left(a +b \right) \left(a -b \right)}+\frac{2 b \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3} \left(a +b \right) \left(a -b \right)}-\frac{b \,d^{2} e^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{3} \left(a +b \right) \left(a -b \right)}-\frac{2 b \,d^{2} x^{3}}{3 \left(a +b \right) \left(-a +b \right)}+\frac{2 b \,d^{2} e^{2} x}{f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{4 b \,d^{2} e^{3}}{3 f^{3} \left(a +b \right) \left(-a +b \right)}+\frac{b \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{f \left(a +b \right) \left(-a +b \right)}-\frac{b \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e^{2}}{f^{3} \left(a +b \right) \left(-a +b \right)}+\frac{b \,d^{2} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{2} \left(a +b \right) \left(-a +b \right)}-\frac{b \,d^{2} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{2 f^{3} \left(a +b \right) \left(-a +b \right)}-\frac{4 b c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a +b \right) \left(a -b \right)}+\frac{2 b c d e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a +b \right) \left(a -b \right)}+\frac{2 b c d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f \left(a +b \right) \left(-a +b \right)}+\frac{2 b c d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{2} \left(a +b \right) \left(-a +b \right)}-\frac{2 b d c \,x^{2}}{\left(a +b \right) \left(-a +b \right)}-\frac{4 b d c e x}{f \left(a +b \right) \left(-a +b \right)}-\frac{2 b d c \,e^{2}}{f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{b c d \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{2} \left(a +b \right) \left(-a +b \right)}"," ",0,"1/3/(a+b)*d^2*x^3+1/(a+b)*c*d*x^2+1/(a+b)*c^2*x+2/f*b/(a+b)*c^2/(a-b)*ln(exp(f*x+e))-1/f*b/(a+b)*c^2/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+2/f^3*b/(a+b)*d^2*e^2/(a-b)*ln(exp(f*x+e))-1/f^3*b/(a+b)*d^2*e^2/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-2/3*b/(a+b)/(-a+b)*d^2*x^3+2/f^2*b/(a+b)/(-a+b)*d^2*e^2*x+4/3/f^3*b/(a+b)/(-a+b)*d^2*e^3+1/f*b/(a+b)*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2-1/f^3*b/(a+b)*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e^2+1/f^2*b/(a+b)*d^2/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x-1/2/f^3*b/(a+b)*d^2/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))-4/f^2*b/(a+b)*c*d*e/(a-b)*ln(exp(f*x+e))+2/f^2*b/(a+b)*c*d*e/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+2/f*b/(a+b)*c*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x+2/f^2*b/(a+b)*c*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e-2*b/(a+b)/(-a+b)*d*c*x^2-4/f*b/(a+b)/(-a+b)*d*c*e*x-2/f^2*b/(a+b)/(-a+b)*d*c*e^2+1/f^2*b/(a+b)*c*d/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))","B"
70,1,357,107,0.660000," ","int((d*x+c)/(a+b*tanh(f*x+e)),x)","\frac{d \,x^{2}}{2 b +2 a}+\frac{c x}{a +b}+\frac{2 b c \ln \left({\mathrm e}^{f x +e}\right)}{f \left(a +b \right) \left(a -b \right)}-\frac{b c \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f \left(a +b \right) \left(a -b \right)}+\frac{b d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f \left(a +b \right) \left(-a +b \right)}+\frac{b d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{2} \left(a +b \right) \left(-a +b \right)}-\frac{b d \,x^{2}}{\left(a +b \right) \left(-a +b \right)}-\frac{2 b d e x}{f \left(a +b \right) \left(-a +b \right)}-\frac{b d \,e^{2}}{f^{2} \left(a +b \right) \left(-a +b \right)}+\frac{b d \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{2 f^{2} \left(a +b \right) \left(-a +b \right)}-\frac{2 b d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a +b \right) \left(a -b \right)}+\frac{b d e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a +b \right) \left(a -b \right)}"," ",0,"1/2/(a+b)*d*x^2+1/(a+b)*c*x+2/f*b/(a+b)*c/(a-b)*ln(exp(f*x+e))-1/f*b/(a+b)*c/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+1/f*b/(a+b)*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x+1/f^2*b/(a+b)*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e-b/(a+b)/(-a+b)*d*x^2-2/f*b/(a+b)/(-a+b)*d*e*x-1/f^2*b/(a+b)/(-a+b)*d*e^2+1/2/f^2*b/(a+b)*d/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))-2/f^2*b/(a+b)*d*e/(a-b)*ln(exp(f*x+e))+1/f^2*b/(a+b)*d*e/(a-b)*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)","B"
71,0,0,22,0.569000," ","int(1/(d*x+c)/(a+b*tanh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right) \left(a +b \tanh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)/(a+b*tanh(f*x+e)),x)","F"
72,0,0,22,0.593000," ","int(1/(d*x+c)^2/(a+b*tanh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \tanh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*tanh(f*x+e)),x)","F"
73,1,2278,622,0.942000," ","int((d*x+c)^3/(a+b*tanh(f*x+e))^2,x)","-\frac{3 b a c \,d^{2} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{3 b a \,d^{3} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b a \,c^{2} d \,x^{2}}{\left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{3 b a \,c^{2} d \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{3 b a \,d^{3} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{3 b^{2} d^{3} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{2 f^{4} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{12 b \,e^{2} a c \,d^{2} x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b a \,c^{2} d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b a c \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b a \,c^{2} d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b a c \,d^{2} e^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b a c \,d^{2} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{3 b a \,d^{3} \polylog \left(4, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{2 f^{4} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{3 b^{2} c \,d^{2} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{3 b^{2} d^{3} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{12 b^{2} c \,d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{6 b^{2} c \,d^{2} e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{2 b a \,d^{3} e^{3} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{4} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{4 b a \,d^{3} e^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{3 b^{2} d^{3} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{3 b^{2} d^{3} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e^{2}}{f^{4} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{b a \,d^{3} x^{4}}{\left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{3 b \,e^{4} a \,d^{3}}{f^{4} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b^{2} e^{2} d^{3} x}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b^{2} d^{2} c \,x^{2}}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b^{2} d^{2} c \,e^{2}}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{c \,d^{2} x^{3}}{a^{2}+2 a b +b^{2}}-\frac{4 b^{2} e^{3} d^{3}}{f^{4} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b^{2} d^{3} x^{3}}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{3 b^{2} d^{3} e^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{4} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{6 b^{2} d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{4} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b a \,c^{3} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{4 b a \,c^{3} \ln \left({\mathrm e}^{f x +e}\right)}{f \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{6 b^{2} c^{2} d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{3 b^{2} c^{2} d \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{2 \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right) b^{2}}{\left(a -b \right) f \left(a^{2}+2 a b +b^{2}\right) \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}+\frac{c^{3} x}{a^{2}+2 a b +b^{2}}+\frac{12 b^{2} d^{2} c e x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b a \,c^{2} d \,e^{2}}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{8 b \,e^{3} a c \,d^{2}}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{4 b a c \,d^{2} x^{3}}{\left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{12 b a \,c^{2} d e x}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{4 b \,e^{3} a \,d^{3} x}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b^{2} c \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b^{2} c \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{6 b a \,c^{2} d e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{2 b a \,d^{3} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{3}}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b a \,d^{3} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e^{3}}{f^{4} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{6 b a c \,d^{2} e^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{12 b a c \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{12 b a \,c^{2} d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{3 c^{2} d \,x^{2}}{2 \left(a^{2}+2 a b +b^{2}\right)}+\frac{d^{3} x^{4}}{4 a^{2}+8 a b +4 b^{2}}"," ",0,"-6/(a-b)/(a+b)^2*b*a*c^2*d/(-a+b)*x^2+12/f^2/(a-b)/(a+b)^2*b/(-a+b)*e^2*a*c*d^2*x+6/f^2/(a-b)/(a+b)^2*b*a*c*d^2/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x+6/f/(a-b)/(a+b)^2*b*a*c^2*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x+6/f/(a-b)/(a+b)^2*b*a*c*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2+6/f^2/(a-b)/(a+b)^2*b*a*c^2*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e-6/f^3/(a-b)/(a+b)^2*b*a*c*d^2*e^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))+12/f^3/(a-b)^2/(a+b)^2*b^2*c*d^2*e*ln(exp(f*x+e))+3/2/f^4/(a-b)/(a+b)^2*b*a*d^3/(-a+b)*polylog(4,(a+b)*exp(2*f*x+2*e)/(-a+b))-6/f^3/(a-b)^2/(a+b)^2*b^2*c*d^2*e*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+2/f^4/(a-b)^2/(a+b)^2*b*a*d^3*e^3*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-3/f^3/(a-b)/(a+b)^2*b^2*c*d^2/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))-4/f^4/(a-b)^2/(a+b)^2*b*a*d^3*e^3*ln(exp(f*x+e))-3/f^2/(a-b)/(a+b)^2*b^2*d^3/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2+3/f^4/(a-b)/(a+b)^2*b^2*d^3/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e^2-3/f^3/(a-b)/(a+b)^2*b^2*d^3/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x-1/(a-b)/(a+b)^2*b/(-a+b)*a*d^3*x^4-3/f^4/(a-b)/(a+b)^2*b/(-a+b)*e^4*a*d^3-6/f^3/(a-b)/(a+b)^2*b^2/(-a+b)*e^2*d^3*x+6/f/(a-b)/(a+b)^2*b^2/(-a+b)*d^2*c*x^2+6/f^3/(a-b)/(a+b)^2*b^2/(-a+b)*d^2*c*e^2+1/(a^2+2*a*b+b^2)*c*d^2*x^3-4/f^4/(a-b)/(a+b)^2*b^2/(-a+b)*e^3*d^3+2/f/(a-b)/(a+b)^2*b^2/(-a+b)*d^3*x^3+3/f^4/(a-b)^2/(a+b)^2*b^2*d^3*e^2*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-6/f^4/(a-b)^2/(a+b)^2*b^2*d^3*e^2*ln(exp(f*x+e))-2/f/(a-b)^2/(a+b)^2*b*a*c^3*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+4/f/(a-b)^2/(a+b)^2*b*a*c^3*ln(exp(f*x+e))-6/f^2/(a-b)^2/(a+b)^2*b^2*c^2*d*ln(exp(f*x+e))+3/2/f^4/(a-b)/(a+b)^2*b^2*d^3/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))+3/f^2/(a-b)^2/(a+b)^2*b^2*c^2*d*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+2/(a-b)/f/(a^2+2*a*b+b^2)*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)*b^2/(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+1/4/(a^2+2*a*b+b^2)*d^3*x^4+1/(a^2+2*a*b+b^2)*c^3*x+12/f^2/(a-b)/(a+b)^2*b^2/(-a+b)*d^2*c*e*x-6/f^2/(a-b)/(a+b)^2*b*a*c^2*d/(-a+b)*e^2+8/f^3/(a-b)/(a+b)^2*b/(-a+b)*e^3*a*c*d^2-4/(a-b)/(a+b)^2*b/(-a+b)*a*c*d^2*x^3-12/f/(a-b)/(a+b)^2*b*a*c^2*d/(-a+b)*e*x-4/f^3/(a-b)/(a+b)^2*b/(-a+b)*e^3*a*d^3*x-6/f^2/(a-b)/(a+b)^2*b^2*c*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x-6/f^3/(a-b)/(a+b)^2*b^2*c*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e+6/f^2/(a-b)^2/(a+b)^2*b*a*c^2*d*e*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-3/f^3/(a-b)/(a+b)^2*b*a*c*d^2/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))+2/f/(a-b)/(a+b)^2*b*a*d^3/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^3+2/f^4/(a-b)/(a+b)^2*b*a*d^3/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e^3+3/f^2/(a-b)/(a+b)^2*b*a*d^3/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2-6/f^3/(a-b)^2/(a+b)^2*b*a*c*d^2*e^2*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+12/f^3/(a-b)^2/(a+b)^2*b*a*c*d^2*e^2*ln(exp(f*x+e))-12/f^2/(a-b)^2/(a+b)^2*b*a*c^2*d*e*ln(exp(f*x+e))+3/f^2/(a-b)/(a+b)^2*b*a*c^2*d/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))-3/f^3/(a-b)/(a+b)^2*b*a*d^3/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))*x+3/2/(a^2+2*a*b+b^2)*c^2*d*x^2","B"
74,1,1352,465,0.850000," ","int((d*x+c)^2/(a+b*tanh(f*x+e))^2,x)","\frac{4 b a c d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{4 b a c d \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b a \,d^{2} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{4 b a \,d^{2} x^{3}}{3 \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{8 b a \,d^{2} e^{3}}{3 f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{4 b^{2} d^{2} e x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{2 b a \,d^{2} e^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{4 b a \,d^{2} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b^{2} d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{2 b^{2} d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{b a \,d^{2} \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b^{2} d^{2} x^{2}}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b^{2} d^{2} e^{2}}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{2 b a \,c^{2} \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{4 b a \,c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{f \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{2 b^{2} c d \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{4 b^{2} c d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b^{2} d^{2} e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{4 b^{2} d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{f^{3} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{b^{2} d^{2} \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{c^{2} x}{a^{2}+2 a b +b^{2}}-\frac{8 b a c d e x}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{4 b a c d \,x^{2}}{\left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{4 b a \,d^{2} e^{2} x}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{4 b a c d \,e^{2}}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{4 b a c d e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{8 b a c d e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b a \,d^{2} e^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{3} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b a \,d^{2} \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x^{2}}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b a c d \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{c d \,x^{2}}{a^{2}+2 a b +b^{2}}+\frac{d^{2} x^{3}}{3 a^{2}+6 a b +3 b^{2}}+\frac{2 \left(d^{2} x^{2}+2 c d x +c^{2}\right) b^{2}}{\left(a -b \right) f \left(a^{2}+2 a b +b^{2}\right) \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}"," ",0,"4/f/(a-b)/(a+b)^2*b*a*c*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x+4/f^2/(a-b)/(a+b)^2*b*a*c*d/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e-4/3/(a-b)/(a+b)^2*b/(-a+b)*a*d^2*x^3+8/3/f^3/(a-b)/(a+b)^2*b/(-a+b)*a*d^2*e^3+4/f^2/(a-b)/(a+b)^2*b^2/(-a+b)*d^2*e*x-1/f^3/(a-b)/(a+b)^2*b*a*d^2/(-a+b)*polylog(3,(a+b)*exp(2*f*x+2*e)/(-a+b))-2/f^3/(a-b)^2/(a+b)^2*b*a*d^2*e^2*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+4/f^3/(a-b)^2/(a+b)^2*b*a*d^2*e^2*ln(exp(f*x+e))-2/f^2/(a-b)/(a+b)^2*b^2*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x-2/f^3/(a-b)/(a+b)^2*b^2*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e+2/f/(a-b)/(a+b)^2*b^2/(-a+b)*d^2*x^2+2/f^3/(a-b)/(a+b)^2*b^2/(-a+b)*d^2*e^2-2/f/(a-b)^2/(a+b)^2*b*a*c^2*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+4/f/(a-b)^2/(a+b)^2*b*a*c^2*ln(exp(f*x+e))+2/f^2/(a-b)^2/(a+b)^2*b^2*c*d*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-4/f^2/(a-b)^2/(a+b)^2*b^2*c*d*ln(exp(f*x+e))-1/f^3/(a-b)/(a+b)^2*b^2*d^2/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))-2/f^3/(a-b)^2/(a+b)^2*b^2*d^2*e*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+4/f^3/(a-b)^2/(a+b)^2*b^2*d^2*e*ln(exp(f*x+e))+1/3/(a^2+2*a*b+b^2)*d^2*x^3+1/(a^2+2*a*b+b^2)*c^2*x-8/f/(a-b)/(a+b)^2*b*a*c*d/(-a+b)*e*x-4/(a-b)/(a+b)^2*b*a*c*d/(-a+b)*x^2+4/f^2/(a-b)/(a+b)^2*b/(-a+b)*a*d^2*e^2*x-4/f^2/(a-b)/(a+b)^2*b*a*c*d/(-a+b)*e^2+4/f^2/(a-b)^2/(a+b)^2*b*a*c*d*e*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+2/f^2/(a-b)/(a+b)^2*b*a*c*d/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))-8/f^2/(a-b)^2/(a+b)^2*b*a*c*d*e*ln(exp(f*x+e))-2/f^3/(a-b)/(a+b)^2*b*a*d^2*e^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))+2/f/(a-b)/(a+b)^2*b*a*d^2/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x^2+2/f^2/(a-b)/(a+b)^2*b*a*d^2/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))*x+1/(a^2+2*a*b+b^2)*c*d*x^2+2/(a-b)/f/(a^2+2*a*b+b^2)*(d^2*x^2+2*c*d*x+c^2)*b^2/(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)","B"
75,1,565,195,0.783000," ","int((d*x+c)/(a+b*tanh(f*x+e))^2,x)","\frac{d \,x^{2}}{2 a^{2}+4 a b +2 b^{2}}+\frac{c x}{a^{2}+2 a b +b^{2}}+\frac{2 b^{2} \left(d x +c \right)}{\left(a -b \right) f \left(a^{2}+2 a b +b^{2}\right) \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}-\frac{2 b^{2} d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{b^{2} d \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{4 b a c \ln \left({\mathrm e}^{f x +e}\right)}{f \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b a c \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f \left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{4 b d a e \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{2 b d a e \ln \left(a \,{\mathrm e}^{2 f x +2 e}+b \,{\mathrm e}^{2 f x +2 e}+a -b \right)}{f^{2} \left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{2 b d a \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) x}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{2 b d a \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right) e}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{2 b d a \,x^{2}}{\left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{4 b d a e x}{f \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}-\frac{2 b d a \,e^{2}}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}+\frac{b d a \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 f x +2 e}}{-a +b}\right)}{f^{2} \left(a -b \right) \left(a +b \right)^{2} \left(-a +b \right)}"," ",0,"1/2/(a^2+2*a*b+b^2)*d*x^2+1/(a^2+2*a*b+b^2)*c*x+2/(a-b)/f/(a^2+2*a*b+b^2)*b^2*(d*x+c)/(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-2/f^2/(a-b)^2/(a+b)^2*b^2*d*ln(exp(f*x+e))+1/f^2/(a-b)^2/(a+b)^2*b^2*d*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+4/f/(a-b)^2/(a+b)^2*b*a*c*ln(exp(f*x+e))-2/f/(a-b)^2/(a+b)^2*b*a*c*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)-4/f^2/(a-b)^2/(a+b)^2*b*d*a*e*ln(exp(f*x+e))+2/f^2/(a-b)^2/(a+b)^2*b*d*a*e*ln(a*exp(2*f*x+2*e)+b*exp(2*f*x+2*e)+a-b)+2/f/(a-b)/(a+b)^2*b*d*a/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*x+2/f^2/(a-b)/(a+b)^2*b*d*a/(-a+b)*ln(1-(a+b)*exp(2*f*x+2*e)/(-a+b))*e-2/(a-b)/(a+b)^2*b*d*a/(-a+b)*x^2-4/f/(a-b)/(a+b)^2*b*d*a/(-a+b)*e*x-2/f^2/(a-b)/(a+b)^2*b*d*a/(-a+b)*e^2+1/f^2/(a-b)/(a+b)^2*b*d*a/(-a+b)*polylog(2,(a+b)*exp(2*f*x+2*e)/(-a+b))","B"
76,0,0,22,1.620000," ","int(1/(d*x+c)/(a+b*tanh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right) \left(a +b \tanh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)/(a+b*tanh(f*x+e))^2,x)","F"
77,0,0,22,1.598000," ","int(1/(d*x+c)^2/(a+b*tanh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \tanh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*tanh(f*x+e))^2,x)","F"