1,1,541,142,0.129000," ","int((d*x+c)^3*csch(b*x+a),x)","-\frac{6 d^{3} \polylog \left(3, {\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}+\frac{3 c^{2} d \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 d^{3} a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 c \,d^{2} \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 c \,d^{2} \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{3 c^{2} d \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{6 d^{3} \polylog \left(3, -{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 d^{3} \polylog \left(2, {\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}-\frac{d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 c \,d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{3 c^{2} d \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}-\frac{3 c^{2} d \ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{3 c^{2} d \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{3 c \,d^{2} a^{2} \ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{3 c \,d^{2} a^{2} \ln \left(1-{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{3 c \,d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{6 c^{2} d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 c \,d^{2} a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 c \,d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{6 d^{3} \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{6 d^{3} \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{2 c^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{b}+\frac{3 c^{2} d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{6 c \,d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}"," ",0,"-1/b^4*d^3*ln(1+exp(b*x+a))*a^3+3/b^2*c^2*d*polylog(2,exp(b*x+a))+2/b^4*d^3*a^3*arctanh(exp(b*x+a))+6/b^3*c*d^2*polylog(3,-exp(b*x+a))-6/b^3*c*d^2*polylog(3,exp(b*x+a))-3/b^2*c^2*d*polylog(2,-exp(b*x+a))-3/b^2*d^3*polylog(2,-exp(b*x+a))*x^2+6/b^3*d^3*polylog(3,-exp(b*x+a))*x+1/b*d^3*ln(1-exp(b*x+a))*x^3+1/b^4*d^3*ln(1-exp(b*x+a))*a^3+3/b^2*d^3*polylog(2,exp(b*x+a))*x^2-6/b^3*d^3*polylog(3,exp(b*x+a))*x-1/b*d^3*ln(1+exp(b*x+a))*x^3+6*d^3*polylog(4,exp(b*x+a))/b^4-6*d^3*polylog(4,-exp(b*x+a))/b^4+3/b*c*d^2*ln(1-exp(b*x+a))*x^2+6/b^2*c*d^2*polylog(2,exp(b*x+a))*x-3/b*c^2*d*ln(1+exp(b*x+a))*x-3/b^2*c^2*d*ln(1+exp(b*x+a))*a+3/b*c^2*d*ln(1-exp(b*x+a))*x+3/b^3*c*d^2*a^2*ln(1+exp(b*x+a))-3/b^3*c*d^2*a^2*ln(1-exp(b*x+a))-3/b*c*d^2*ln(1+exp(b*x+a))*x^2+6/b^2*c^2*d*a*arctanh(exp(b*x+a))-6/b^3*c*d^2*a^2*arctanh(exp(b*x+a))-2/b*c^3*arctanh(exp(b*x+a))+3/b^2*c^2*d*ln(1-exp(b*x+a))*a-6/b^2*c*d^2*polylog(2,-exp(b*x+a))*x","B"
2,1,306,94,0.115000," ","int((d*x+c)^2*csch(b*x+a),x)","-\frac{2 d^{2} a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 c^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b}-\frac{d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}-\frac{2 d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}+\frac{2 d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 c d \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 c d \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 d^{2} \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 d^{2} \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 c d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 c d \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}-\frac{2 c d \ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{2 c d \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{2 c d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}"," ",0,"-2/b^3*d^2*a^2*arctanh(exp(b*x+a))-2/b*c^2*arctanh(exp(b*x+a))-1/b*d^2*ln(1+exp(b*x+a))*x^2+1/b^3*d^2*ln(1+exp(b*x+a))*a^2-2/b^2*d^2*polylog(2,-exp(b*x+a))*x+1/b*d^2*ln(1-exp(b*x+a))*x^2-1/b^3*d^2*ln(1-exp(b*x+a))*a^2+2/b^2*d^2*polylog(2,exp(b*x+a))*x-2/b^2*c*d*polylog(2,-exp(b*x+a))+2/b^2*c*d*polylog(2,exp(b*x+a))+2*d^2*polylog(3,-exp(b*x+a))/b^3-2*d^2*polylog(3,exp(b*x+a))/b^3+4/b^2*c*d*a*arctanh(exp(b*x+a))-2/b*c*d*ln(1+exp(b*x+a))*x-2/b^2*c*d*ln(1+exp(b*x+a))*a+2/b*c*d*ln(1-exp(b*x+a))*x+2/b^2*c*d*ln(1-exp(b*x+a))*a","B"
3,1,60,47,0.026000," ","int((d*x+c)*csch(b*x+a),x)","\frac{\frac{d \left(2 \dilog \left({\mathrm e}^{-b x -a}\right)-\frac{\dilog \left({\mathrm e}^{-2 b x -2 a}\right)}{2}\right)}{b}+\frac{2 d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b}-2 c \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(1/b*d*(2*dilog(exp(-b*x-a))-1/2*dilog(exp(-2*b*x-2*a)))+2/b*d*a*arctanh(exp(b*x+a))-2*c*arctanh(exp(b*x+a)))","A"
4,0,0,12,0.304000," ","int(csch(b*x+a)/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)}{x}\, dx"," ",0,"int(csch(b*x+a)/x,x)","F"
5,1,473,101,0.368000," ","int((d*x+c)^3*csch(b*x+a)^2,x)","-\frac{3 d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}-\frac{6 d \,c^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{3 d \,c^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}+\frac{3 d \,c^{2} \ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{6 d^{3} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{6 d^{2} c \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 d^{2} c \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 d^{3} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}-\frac{6 d^{3} a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 d^{3} a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}+\frac{3 d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{6 d^{3} a^{2} x}{b^{3}}-\frac{6 d^{2} c \,a^{2}}{b^{3}}-\frac{6 d^{2} c \,x^{2}}{b}-\frac{2 \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{6 d^{3} \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{6 d^{3} \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{6 d^{2} c a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}+\frac{6 d^{2} c \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{12 d^{2} c a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 d^{3} a^{3}}{b^{4}}-\frac{2 d^{3} x^{3}}{b}+\frac{6 d^{2} c \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{6 d^{2} c \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{3}}-\frac{12 d^{2} c a x}{b^{2}}"," ",0,"-3*d^3/b^4*ln(1-exp(b*x+a))*a^2+6*d^3/b^3*polylog(2,exp(b*x+a))*x-6*d/b^2*c^2*ln(exp(b*x+a))+3*d/b^2*c^2*ln(exp(b*x+a)-1)+3*d/b^2*c^2*ln(1+exp(b*x+a))+3*d^3/b^2*ln(1+exp(b*x+a))*x^2+6*d^2/b^3*c*polylog(2,-exp(b*x+a))+6*d^2/b^3*c*polylog(2,exp(b*x+a))-6*d^3/b^4*a^2*ln(exp(b*x+a))+3*d^3/b^4*a^2*ln(exp(b*x+a)-1)+6*d^3/b^3*polylog(2,-exp(b*x+a))*x+3*d^3/b^2*ln(1-exp(b*x+a))*x^2+6*d^3/b^3*a^2*x-6*d^2/b^3*c*a^2-6*d^2/b*c*x^2-2/b*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/(exp(2*b*x+2*a)-1)-6*d^2/b^3*c*a*ln(exp(b*x+a)-1)+6*d^2/b^2*c*ln(1+exp(b*x+a))*x+12*d^2/b^3*c*a*ln(exp(b*x+a))+4*d^3/b^4*a^3-2*d^3/b*x^3-6*d^3/b^4*polylog(3,-exp(b*x+a))-6*d^3/b^4*polylog(3,exp(b*x+a))+6*d^2/b^2*c*ln(1-exp(b*x+a))*x+6*d^2/b^3*c*ln(1-exp(b*x+a))*a-12*d^2/b^2*c*a*x","B"
6,1,240,74,0.360000," ","int((d*x+c)^2*csch(b*x+a)^2,x)","-\frac{2 \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{4 d c \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 d c \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}+\frac{2 d c \ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 d^{2} x^{2}}{b}-\frac{4 d^{2} a x}{b^{2}}-\frac{2 d^{2} a^{2}}{b^{3}}+\frac{2 d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 d^{2} a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 d^{2} a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}"," ",0,"-2/b*(d^2*x^2+2*c*d*x+c^2)/(exp(2*b*x+2*a)-1)-4*d/b^2*c*ln(exp(b*x+a))+2*d/b^2*c*ln(exp(b*x+a)-1)+2*d/b^2*c*ln(1+exp(b*x+a))-2*d^2/b*x^2-4*d^2/b^2*a*x-2*d^2/b^3*a^2+2*d^2/b^2*ln(1+exp(b*x+a))*x+2*d^2/b^3*polylog(2,-exp(b*x+a))+2*d^2/b^2*ln(1-exp(b*x+a))*x+2*d^2/b^3*ln(1-exp(b*x+a))*a+2*d^2/b^3*polylog(2,exp(b*x+a))+4*d^2/b^3*a*ln(exp(b*x+a))-2*d^2/b^3*a*ln(exp(b*x+a)-1)","B"
7,1,56,29,0.384000," ","int((d*x+c)*csch(b*x+a)^2,x)","-\frac{2 d x}{b}-\frac{2 d a}{b^{2}}-\frac{2 \left(d x +c \right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{d \ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b^{2}}"," ",0,"-2*d/b*x-2*d/b^2*a-2/b*(d*x+c)/(exp(2*b*x+2*a)-1)+d/b^2*ln(exp(2*b*x+2*a)-1)","A"
8,0,0,14,0.319000," ","int(csch(b*x+a)^2/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(csch(b*x+a)^2/x,x)","F"
9,1,876,238,0.373000," ","int((d*x+c)^3*csch(b*x+a)^3,x)","\frac{6 d^{3} a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{6 c \,d^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{{\mathrm e}^{b x +a} \left(b \,d^{3} x^{3} {\mathrm e}^{2 b x +2 a}+3 b c \,d^{2} x^{2} {\mathrm e}^{2 b x +2 a}+3 b \,c^{2} d x \,{\mathrm e}^{2 b x +2 a}+b \,d^{3} x^{3}+3 d^{3} x^{2} {\mathrm e}^{2 b x +2 a}+b \,c^{3} {\mathrm e}^{2 b x +2 a}+3 b c \,d^{2} x^{2}+6 c \,d^{2} x \,{\mathrm e}^{2 b x +2 a}+3 b \,c^{2} d x +3 c^{2} d \,{\mathrm e}^{2 b x +2 a}-3 d^{3} x^{2}+b \,c^{3}-6 c \,d^{2} x -3 c^{2} d \right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{3 d^{3} \polylog \left(3, {\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) a^{3}}{2 b^{4}}-\frac{3 c \,d^{2} \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 c \,d^{2} \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 c^{2} d \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x^{2}}{2 b^{2}}-\frac{3 d^{3} \polylog \left(2, {\mathrm e}^{b x +a}\right) x^{2}}{2 b^{2}}-\frac{d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{2 b}-\frac{d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{2 b^{4}}+\frac{d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{2 b}-\frac{3 c \,d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{2 b}+\frac{3 c^{2} d \ln \left(1+{\mathrm e}^{b x +a}\right) x}{2 b}+\frac{3 c^{2} d \ln \left(1+{\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{3 c^{2} d \ln \left(1-{\mathrm e}^{b x +a}\right) x}{2 b}-\frac{3 c \,d^{2} a^{2} \ln \left(1+{\mathrm e}^{b x +a}\right)}{2 b^{3}}+\frac{3 c \,d^{2} a^{2} \ln \left(1-{\mathrm e}^{b x +a}\right)}{2 b^{3}}+\frac{3 c \,d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{2 b}-\frac{3 c^{2} d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{3 c \,d^{2} a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 c \,d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{3 d^{3} \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 d^{3} \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{c^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{b}-\frac{3 c^{2} d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{3 d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 d^{3} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{3 d^{3} \ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{4}}-\frac{3 d^{3} \polylog \left(3, -{\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{3 c \,d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{3 d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{4}}-\frac{d^{3} a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 c^{2} d \polylog \left(2, {\mathrm e}^{b x +a}\right)}{2 b^{2}}"," ",0,"-exp(b*x+a)*(b*d^3*x^3*exp(2*b*x+2*a)+3*b*c*d^2*x^2*exp(2*b*x+2*a)+3*b*c^2*d*x*exp(2*b*x+2*a)+b*d^3*x^3+3*d^3*x^2*exp(2*b*x+2*a)+b*c^3*exp(2*b*x+2*a)+3*b*c*d^2*x^2+6*c*d^2*x*exp(2*b*x+2*a)+3*b*c^2*d*x+3*c^2*d*exp(2*b*x+2*a)-3*d^3*x^2+b*c^3-6*c*d^2*x-3*c^2*d)/b^2/(exp(2*b*x+2*a)-1)^2+1/2/b^4*d^3*ln(1+exp(b*x+a))*a^3-3/2/b^2*c^2*d*polylog(2,exp(b*x+a))-1/b^4*d^3*a^3*arctanh(exp(b*x+a))-3/b^3*c*d^2*polylog(3,-exp(b*x+a))+3/b^3*c*d^2*polylog(3,exp(b*x+a))+3/2/b^2*c^2*d*polylog(2,-exp(b*x+a))+3/2/b^2*d^3*polylog(2,-exp(b*x+a))*x^2-3/b^3*d^3*polylog(3,-exp(b*x+a))*x-1/2/b*d^3*ln(1-exp(b*x+a))*x^3-1/2/b^4*d^3*ln(1-exp(b*x+a))*a^3-3/2/b^2*d^3*polylog(2,exp(b*x+a))*x^2+3/b^3*d^3*polylog(3,exp(b*x+a))*x+1/2/b*d^3*ln(1+exp(b*x+a))*x^3-3*d^3*polylog(4,exp(b*x+a))/b^4-3*d^3*polylog(2,-exp(b*x+a))/b^4+3*d^3*polylog(2,exp(b*x+a))/b^4+3*d^3*polylog(4,-exp(b*x+a))/b^4-3/2/b*c*d^2*ln(1-exp(b*x+a))*x^2-3/b^2*c*d^2*polylog(2,exp(b*x+a))*x+3/2/b*c^2*d*ln(1+exp(b*x+a))*x+3/2/b^2*c^2*d*ln(1+exp(b*x+a))*a-3/2/b*c^2*d*ln(1-exp(b*x+a))*x-3/2/b^3*c*d^2*a^2*ln(1+exp(b*x+a))+3/2/b^3*c*d^2*a^2*ln(1-exp(b*x+a))+3/2/b*c*d^2*ln(1+exp(b*x+a))*x^2-3/b^2*c^2*d*a*arctanh(exp(b*x+a))+3/b^3*c*d^2*a^2*arctanh(exp(b*x+a))+6/b^4*d^3*a*arctanh(exp(b*x+a))-6/b^3*c*d^2*arctanh(exp(b*x+a))+1/b*c^3*arctanh(exp(b*x+a))-3/2/b^2*c^2*d*ln(1-exp(b*x+a))*a+3/b^2*c*d^2*polylog(2,-exp(b*x+a))*x+3/b^3*d^3*ln(1-exp(b*x+a))*x-3/b^3*d^3*ln(1+exp(b*x+a))*x-3/b^4*d^3*ln(1+exp(b*x+a))*a+3/b^4*d^3*ln(1-exp(b*x+a))*a","B"
10,1,444,147,0.376000," ","int((d*x+c)^2*csch(b*x+a)^3,x)","-\frac{{\mathrm e}^{b x +a} \left(b \,d^{2} x^{2} {\mathrm e}^{2 b x +2 a}+2 b c d x \,{\mathrm e}^{2 b x +2 a}+b \,c^{2} {\mathrm e}^{2 b x +2 a}+b \,d^{2} x^{2}+2 d^{2} x \,{\mathrm e}^{2 b x +2 a}+2 b c d x +2 c d \,{\mathrm e}^{2 b x +2 a}+b \,c^{2}-2 d^{2} x -2 c d \right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{2 b}+\frac{d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{2 b}-\frac{d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{c d \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{c d \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{d^{2} a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{c^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b}-\frac{d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) a^{2}}{2 b^{3}}+\frac{d^{2} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{2 b^{3}}-\frac{c d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{d^{2} \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 d^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{c d \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}+\frac{c d \ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{c d \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}-\frac{2 c d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{d^{2} \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-exp(b*x+a)*(b*d^2*x^2*exp(2*b*x+2*a)+2*b*c*d*x*exp(2*b*x+2*a)+b*c^2*exp(2*b*x+2*a)+b*d^2*x^2+2*d^2*x*exp(2*b*x+2*a)+2*b*c*d*x+2*c*d*exp(2*b*x+2*a)+b*c^2-2*d^2*x-2*c*d)/b^2/(exp(2*b*x+2*a)-1)^2+1/2/b*d^2*ln(1+exp(b*x+a))*x^2+1/b^2*d^2*polylog(2,-exp(b*x+a))*x-1/2/b*d^2*ln(1-exp(b*x+a))*x^2-1/b^2*d^2*polylog(2,exp(b*x+a))*x+1/b^2*c*d*polylog(2,-exp(b*x+a))-1/b^2*c*d*polylog(2,exp(b*x+a))+1/b^3*d^2*a^2*arctanh(exp(b*x+a))+1/b*c^2*arctanh(exp(b*x+a))-1/2/b^3*d^2*ln(1+exp(b*x+a))*a^2+1/2/b^3*d^2*ln(1-exp(b*x+a))*a^2-1/b^2*c*d*ln(1-exp(b*x+a))*a+d^2*polylog(3,exp(b*x+a))/b^3-2/b^3*d^2*arctanh(exp(b*x+a))+1/b*c*d*ln(1+exp(b*x+a))*x+1/b^2*c*d*ln(1+exp(b*x+a))*a-1/b*c*d*ln(1-exp(b*x+a))*x-2/b^2*c*d*a*arctanh(exp(b*x+a))-d^2*polylog(3,-exp(b*x+a))/b^3","B"
11,1,197,81,0.383000," ","int((d*x+c)*csch(b*x+a)^3,x)","-\frac{{\mathrm e}^{b x +a} \left(b d x \,{\mathrm e}^{2 b x +2 a}+b c \,{\mathrm e}^{2 b x +2 a}+b d x +d \,{\mathrm e}^{2 b x +2 a}+c b -d \right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{c \arctanh \left({\mathrm e}^{b x +a}\right)}{b}+\frac{d \ln \left(1+{\mathrm e}^{b x +a}\right) x}{2 b}+\frac{d \ln \left(1+{\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{d \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{d \ln \left(1-{\mathrm e}^{b x +a}\right) x}{2 b}-\frac{d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{d \polylog \left(2, {\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"-exp(b*x+a)*(b*d*x*exp(2*b*x+2*a)+b*c*exp(2*b*x+2*a)+b*d*x+d*exp(2*b*x+2*a)+c*b-d)/b^2/(exp(2*b*x+2*a)-1)^2+1/b*c*arctanh(exp(b*x+a))+1/2/b*d*ln(1+exp(b*x+a))*x+1/2/b^2*d*ln(1+exp(b*x+a))*a+1/2*d*polylog(2,-exp(b*x+a))/b^2-1/2/b*d*ln(1-exp(b*x+a))*x-1/2/b^2*d*ln(1-exp(b*x+a))*a-1/2*d*polylog(2,exp(b*x+a))/b^2-1/b^2*d*a*arctanh(exp(b*x+a))","B"
12,0,0,14,0.669000," ","int(csch(b*x+a)^3/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(csch(b*x+a)^3/x,x)","F"
13,0,0,16,0.015000," ","int(x/csch(x)^(3/2)+1/3*x*csch(x)^(1/2),x)","\int \frac{x}{\mathrm{csch}\left(x \right)^{\frac{3}{2}}}+\frac{x \sqrt{\mathrm{csch}\left(x \right)}}{3}\, dx"," ",0,"int(x/csch(x)^(3/2)+1/3*x*csch(x)^(1/2),x)","F"
14,0,0,16,0.015000," ","int(x/csch(x)^(5/2)+3/5*x/csch(x)^(1/2),x)","\int \frac{x}{\mathrm{csch}\left(x \right)^{\frac{5}{2}}}+\frac{3 x}{5 \sqrt{\mathrm{csch}\left(x \right)}}\, dx"," ",0,"int(x/csch(x)^(5/2)+3/5*x/csch(x)^(1/2),x)","F"
15,0,0,31,0.014000," ","int(x/csch(x)^(7/2)-5/21*x*csch(x)^(1/2),x)","\int \frac{x}{\mathrm{csch}\left(x \right)^{\frac{7}{2}}}-\frac{5 x \sqrt{\mathrm{csch}\left(x \right)}}{21}\, dx"," ",0,"int(x/csch(x)^(7/2)-5/21*x*csch(x)^(1/2),x)","F"
16,0,0,78,0.015000," ","int(x^2/csch(x)^(3/2)+1/3*x^2*csch(x)^(1/2),x)","\int \frac{x^{2}}{\mathrm{csch}\left(x \right)^{\frac{3}{2}}}+\frac{x^{2} \sqrt{\mathrm{csch}\left(x \right)}}{3}\, dx"," ",0,"int(x^2/csch(x)^(3/2)+1/3*x^2*csch(x)^(1/2),x)","F"
17,0,0,422,1.469000," ","int((f*x+e)^3*cosh(d*x+c)/(a+b*csch(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right)}{a +b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)/(a+b*csch(d*x+c)),x)","F"
18,0,0,310,1.293000," ","int((f*x+e)^2*cosh(d*x+c)/(a+b*csch(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right)}{a +b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)/(a+b*csch(d*x+c)),x)","F"
19,1,483,198,0.769000," ","int((f*x+e)*cosh(d*x+c)/(a+b*csch(d*x+c)),x)","\frac{b f \,x^{2}}{2 a^{2}}-\frac{b e x}{a^{2}}+\frac{\left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 a \,d^{2}}-\frac{\left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 a \,d^{2}}+\frac{2 b e \ln \left({\mathrm e}^{d x +c}\right)}{d \,a^{2}}-\frac{b e \ln \left(a \,{\mathrm e}^{2 d x +2 c}+2 b \,{\mathrm e}^{d x +c}-a \right)}{d \,a^{2}}+\frac{2 b f c x}{d \,a^{2}}+\frac{b f \,c^{2}}{d^{2} a^{2}}-\frac{b f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}-\frac{b f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{b f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}-\frac{b f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{b f \dilog \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}-\frac{b f \dilog \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}-\frac{2 b f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}+\frac{b f c \ln \left(a \,{\mathrm e}^{2 d x +2 c}+2 b \,{\mathrm e}^{d x +c}-a \right)}{d^{2} a^{2}}"," ",0,"1/2/a^2*b*f*x^2-1/a^2*b*e*x+1/2*(d*f*x+d*e-f)/a/d^2*exp(d*x+c)-1/2*(d*f*x+d*e+f)/a/d^2*exp(-d*x-c)+2/d/a^2*b*e*ln(exp(d*x+c))-1/d/a^2*b*e*ln(a*exp(2*d*x+2*c)+2*b*exp(d*x+c)-a)+2/d/a^2*b*f*c*x+1/d^2/a^2*b*f*c^2-1/d/a^2*b*f*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b*f*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*c-1/d/a^2*b*f*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b*f*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*c-1/d^2/a^2*b*f*dilog((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))-1/d^2/a^2*b*f*dilog((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))-2/d^2/a^2*b*f*c*ln(exp(d*x+c))+1/d^2/a^2*b*f*c*ln(a*exp(2*d*x+2*c)+2*b*exp(d*x+c)-a)","B"
20,1,52,34,0.131000," ","int(cosh(d*x+c)/(a+b*csch(d*x+c)),x)","-\frac{b \ln \left(a +b \,\mathrm{csch}\left(d x +c \right)\right)}{d \,a^{2}}+\frac{1}{d a \,\mathrm{csch}\left(d x +c \right)}+\frac{b \ln \left(\mathrm{csch}\left(d x +c \right)\right)}{d \,a^{2}}"," ",0,"-1/d/a^2*b*ln(a+b*csch(d*x+c))+1/d/a/csch(d*x+c)+1/d/a^2*b*ln(csch(d*x+c))","A"
21,0,0,34,0.990000," ","int(cosh(d*x+c)/(f*x+e)/(a+b*csch(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \,\mathrm{csch}\left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)/(f*x+e)/(a+b*csch(d*x+c)),x)","F"
22,0,0,640,1.773000," ","int((f*x+e)^3*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right)}{a +b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x)","F"
23,0,0,468,1.701000," ","int((f*x+e)^2*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{a +b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x)","F"
24,1,1012,297,1.002000," ","int((f*x+e)*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x)","\frac{f \,x^{2}}{4 a}+\frac{b^{2} f \,x^{2}}{2 a^{3}}+\frac{e x}{2 a}+\frac{b^{2} e x}{a^{3}}+\frac{\left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 a \,d^{2}}-\frac{b \left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 a^{2} d^{2}}-\frac{b \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 a^{2} d^{2}}-\frac{\left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 a \,d^{2}}+\frac{2 b^{3} e \arctanh \left(\frac{2 a \,{\mathrm e}^{d x +c}+2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3} \sqrt{a^{2}+b^{2}}}+\frac{2 b e \arctanh \left(\frac{2 a \,{\mathrm e}^{d x +c}+2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}-\frac{b f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}-\frac{b f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{b f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}+\frac{b f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{b f \dilog \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{b f \dilog \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \dilog \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \dilog \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}-\frac{2 b f c \arctanh \left(\frac{2 a \,{\mathrm e}^{d x +c}+2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{2 b^{3} f c \arctanh \left(\frac{2 a \,{\mathrm e}^{d x +c}+2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}"," ",0,"1/4*f*x^2/a+1/2*b^2*f*x^2/a^3+1/2*e*x/a+b^2*e*x/a^3+1/16*(2*d*f*x+2*d*e-f)/a/d^2*exp(2*d*x+2*c)-1/2*b*(d*f*x+d*e-f)/a^2/d^2*exp(d*x+c)-1/2*b*(d*f*x+d*e+f)/a^2/d^2*exp(-d*x-c)-1/16*(2*d*f*x+2*d*e+f)/a/d^2*exp(-2*d*x-2*c)+2/d*b^3/a^3*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*exp(d*x+c)+2*b)/(a^2+b^2)^(1/2))+2/d*b/a*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*exp(d*x+c)+2*b)/(a^2+b^2)^(1/2))-1/d*b/a*f/(a^2+b^2)^(1/2)*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*x-1/d^2*b/a*f/(a^2+b^2)^(1/2)*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*c+1/d*b/a*f/(a^2+b^2)^(1/2)*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*x+1/d^2*b/a*f/(a^2+b^2)^(1/2)*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*c-1/d^2*b/a*f/(a^2+b^2)^(1/2)*dilog((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))+1/d^2*b/a*f/(a^2+b^2)^(1/2)*dilog((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))-1/d*b^3/a^3*f/(a^2+b^2)^(1/2)*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*x-1/d^2*b^3/a^3*f/(a^2+b^2)^(1/2)*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*c+1/d*b^3/a^3*f/(a^2+b^2)^(1/2)*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*x+1/d^2*b^3/a^3*f/(a^2+b^2)^(1/2)*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*c-1/d^2*b^3/a^3*f/(a^2+b^2)^(1/2)*dilog((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))+1/d^2*b^3/a^3*f/(a^2+b^2)^(1/2)*dilog((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))-2/d^2*b/a*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*exp(d*x+c)+2*b)/(a^2+b^2)^(1/2))-2/d^2*b^3/a^3*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*exp(d*x+c)+2*b)/(a^2+b^2)^(1/2))","B"
25,1,260,86,0.284000," ","int(cosh(d*x+c)^2/(a+b*csch(d*x+c)),x)","\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{b}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b^{2}}{d \,a^{3}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{2}}{d \,a^{3}}-\frac{2 b \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3}}"," ",0,"1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2/(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)*b^2-1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/d/a^2/(tanh(1/2*d*x+1/2*c)+1)*b+1/2/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)*b^2-2/d*b*(a^2+b^2)^(1/2)/a^3*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))","B"
26,0,0,812,2.096000," ","int((f*x+e)^3*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{3}\left(d x +c \right)\right)}{a +b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x)","F"
27,0,0,594,1.891000," ","int((f*x+e)^2*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{3}\left(d x +c \right)\right)}{a +b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x)","F"
28,1,1102,372,1.135000," ","int((f*x+e)*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x)","\frac{2 b f c x}{d \,a^{2}}+\frac{b^{3} f \,c^{2}}{d^{2} a^{4}}+\frac{2 b^{3} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,a^{4}}-\frac{b^{3} e \ln \left(a \,{\mathrm e}^{2 d x +2 c}+2 b \,{\mathrm e}^{d x +c}-a \right)}{d \,a^{4}}-\frac{b^{3} f \dilog \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{4}}-\frac{b^{3} f \dilog \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{4}}-\frac{b f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}-\frac{b f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{b f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}-\frac{b f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{2 b f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}-\frac{\left(3 a^{2}+4 b^{2}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{8 a^{3} d^{2}}-\frac{b \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 a^{2} d^{2}}-\frac{b^{3} f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{4}}-\frac{2 b^{3} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{4}}+\frac{b^{3} f c \ln \left(a \,{\mathrm e}^{2 d x +2 c}+2 b \,{\mathrm e}^{d x +c}-a \right)}{d^{2} a^{4}}-\frac{b^{3} f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{4}}-\frac{b^{3} f \ln \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{4}}-\frac{b^{3} f \ln \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{4}}+\frac{b f \,x^{2}}{2 a^{2}}-\frac{b e x}{a^{2}}+\frac{2 b^{3} f c x}{d \,a^{4}}-\frac{b \left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 a^{2} d^{2}}+\frac{b f \,c^{2}}{d^{2} a^{2}}+\frac{2 b e \ln \left({\mathrm e}^{d x +c}\right)}{d \,a^{2}}-\frac{b e \ln \left(a \,{\mathrm e}^{2 d x +2 c}+2 b \,{\mathrm e}^{d x +c}-a \right)}{d \,a^{2}}-\frac{b f \dilog \left(\frac{a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+b}{b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}-\frac{b f \dilog \left(\frac{-a \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-b}{-b +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}+\frac{b f c \ln \left(a \,{\mathrm e}^{2 d x +2 c}+2 b \,{\mathrm e}^{d x +c}-a \right)}{d^{2} a^{2}}+\frac{\left(3 a^{2} d f x +4 b^{2} d f x +3 a^{2} d e +4 b^{2} d e -3 a^{2} f -4 f \,b^{2}\right) {\mathrm e}^{d x +c}}{8 a^{3} d^{2}}+\frac{\left(3 d f x +3 d e -f \right) {\mathrm e}^{3 d x +3 c}}{72 a \,d^{2}}-\frac{\left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{72 a \,d^{2}}+\frac{b^{3} f \,x^{2}}{2 a^{4}}-\frac{b^{3} e x}{a^{4}}"," ",0,"2/d/a^2*b*f*c*x+1/d^2*b^3/a^4*f*c^2+2/d*b^3/a^4*e*ln(exp(d*x+c))-1/d*b^3/a^4*e*ln(a*exp(2*d*x+2*c)+2*b*exp(d*x+c)-a)-1/d^2*b^3/a^4*f*dilog((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))-1/d^2*b^3/a^4*f*dilog((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))-1/d/a^2*b*f*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b*f*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*c-1/d/a^2*b*f*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b*f*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*c-2/d^2/a^2*b*f*c*ln(exp(d*x+c))-1/8*(3*a^2+4*b^2)*(d*f*x+d*e+f)/a^3/d^2*exp(-d*x-c)-1/16*b*(2*d*f*x+2*d*e+f)/a^2/d^2*exp(-2*d*x-2*c)-1/d^2*b^3/a^4*f*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*c-2/d^2*b^3/a^4*f*c*ln(exp(d*x+c))+1/d^2*b^3/a^4*f*c*ln(a*exp(2*d*x+2*c)+2*b*exp(d*x+c)-a)-1/d*b^3/a^4*f*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*x-1/d^2*b^3/a^4*f*ln((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))*c-1/d*b^3/a^4*f*ln((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))*x+1/2/a^2*b*f*x^2-1/a^2*b*e*x+2/d*b^3/a^4*f*c*x-1/16*b*(2*d*f*x+2*d*e-f)/a^2/d^2*exp(2*d*x+2*c)+1/d^2/a^2*b*f*c^2+2/d/a^2*b*e*ln(exp(d*x+c))-1/d/a^2*b*e*ln(a*exp(2*d*x+2*c)+2*b*exp(d*x+c)-a)-1/d^2/a^2*b*f*dilog((a*exp(d*x+c)+(a^2+b^2)^(1/2)+b)/(b+(a^2+b^2)^(1/2)))-1/d^2/a^2*b*f*dilog((-a*exp(d*x+c)+(a^2+b^2)^(1/2)-b)/(-b+(a^2+b^2)^(1/2)))+1/d^2/a^2*b*f*c*ln(a*exp(2*d*x+2*c)+2*b*exp(d*x+c)-a)+1/8*(3*a^2*d*f*x+4*b^2*d*f*x+3*a^2*d*e+4*b^2*d*e-3*a^2*f-4*b^2*f)/a^3/d^2*exp(d*x+c)+1/72*(3*d*f*x+3*d*e-f)/a/d^2*exp(3*d*x+3*c)-1/72*(3*d*f*x+3*d*e+f)/a/d^2*exp(-3*d*x-3*c)+1/2*b^3/a^4*f*x^2-b^3/a^4*e*x","B"
29,1,428,81,0.316000," ","int(cosh(d*x+c)^3/(a+b*csch(d*x+c)),x)","-\frac{1}{3 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{b^{2}}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{b^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{4}}-\frac{1}{3 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b^{2}}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}+\frac{b^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{4}}-\frac{b \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)}{d \,a^{2}}-\frac{b^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)}{d \,a^{4}}"," ",0,"-1/3/d/a/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2*b-1/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)*b-1/d/a^3/(tanh(1/2*d*x+1/2*c)-1)*b^2+1/d*b/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d*b^3/a^4*ln(tanh(1/2*d*x+1/2*c)-1)-1/3/d/a/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2*b-1/d/a/(tanh(1/2*d*x+1/2*c)+1)+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)*b-1/d/a^3/(tanh(1/2*d*x+1/2*c)+1)*b^2+1/d*b/a^2*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*b^3/a^4*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)-1/d/a^4*b^3*ln(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)","B"