1,1,547,91,0.055000," ","int((d*x+c)^4*sinh(b*x+a),x)","\frac{-\frac{12 d^{3} a c \left(\left(b x +a \right)^{2} \cosh \left(b x +a \right)-2 \left(b x +a \right) \sinh \left(b x +a \right)+2 \cosh \left(b x +a \right)\right)}{b^{3}}+\frac{12 d^{3} a^{2} c \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b^{3}}-\frac{12 d^{2} a \,c^{2} \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b^{2}}+\frac{6 d^{2} a^{2} c^{2} \cosh \left(b x +a \right)}{b^{2}}-\frac{4 d a \,c^{3} \cosh \left(b x +a \right)}{b}+\frac{4 d \,c^{3} \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b}-\frac{4 d^{3} a^{3} c \cosh \left(b x +a \right)}{b^{3}}-\frac{4 d^{4} a \left(\left(b x +a \right)^{3} \cosh \left(b x +a \right)-3 \left(b x +a \right)^{2} \sinh \left(b x +a \right)+6 \left(b x +a \right) \cosh \left(b x +a \right)-6 \sinh \left(b x +a \right)\right)}{b^{4}}+\frac{4 d^{3} c \left(\left(b x +a \right)^{3} \cosh \left(b x +a \right)-3 \left(b x +a \right)^{2} \sinh \left(b x +a \right)+6 \left(b x +a \right) \cosh \left(b x +a \right)-6 \sinh \left(b x +a \right)\right)}{b^{3}}+\frac{6 d^{4} a^{2} \left(\left(b x +a \right)^{2} \cosh \left(b x +a \right)-2 \left(b x +a \right) \sinh \left(b x +a \right)+2 \cosh \left(b x +a \right)\right)}{b^{4}}+\frac{6 d^{2} c^{2} \left(\left(b x +a \right)^{2} \cosh \left(b x +a \right)-2 \left(b x +a \right) \sinh \left(b x +a \right)+2 \cosh \left(b x +a \right)\right)}{b^{2}}-\frac{4 d^{4} a^{3} \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b^{4}}+\frac{d^{4} \left(\left(b x +a \right)^{4} \cosh \left(b x +a \right)-4 \left(b x +a \right)^{3} \sinh \left(b x +a \right)+12 \left(b x +a \right)^{2} \cosh \left(b x +a \right)-24 \left(b x +a \right) \sinh \left(b x +a \right)+24 \cosh \left(b x +a \right)\right)}{b^{4}}+\frac{d^{4} a^{4} \cosh \left(b x +a \right)}{b^{4}}+c^{4} \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(-12/b^3*d^3*a*c*((b*x+a)^2*cosh(b*x+a)-2*(b*x+a)*sinh(b*x+a)+2*cosh(b*x+a))+12/b^3*d^3*a^2*c*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))-12/b^2*d^2*a*c^2*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))+6/b^2*d^2*a^2*c^2*cosh(b*x+a)-4/b*d*a*c^3*cosh(b*x+a)+4/b*d*c^3*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))-4/b^3*d^3*a^3*c*cosh(b*x+a)-4/b^4*d^4*a*((b*x+a)^3*cosh(b*x+a)-3*(b*x+a)^2*sinh(b*x+a)+6*(b*x+a)*cosh(b*x+a)-6*sinh(b*x+a))+4/b^3*d^3*c*((b*x+a)^3*cosh(b*x+a)-3*(b*x+a)^2*sinh(b*x+a)+6*(b*x+a)*cosh(b*x+a)-6*sinh(b*x+a))+6/b^4*d^4*a^2*((b*x+a)^2*cosh(b*x+a)-2*(b*x+a)*sinh(b*x+a)+2*cosh(b*x+a))+6/b^2*d^2*c^2*((b*x+a)^2*cosh(b*x+a)-2*(b*x+a)*sinh(b*x+a)+2*cosh(b*x+a))-4/b^4*d^4*a^3*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))+1/b^4*d^4*((b*x+a)^4*cosh(b*x+a)-4*(b*x+a)^3*sinh(b*x+a)+12*(b*x+a)^2*cosh(b*x+a)-24*(b*x+a)*sinh(b*x+a)+24*cosh(b*x+a))+1/b^4*d^4*a^4*cosh(b*x+a)+c^4*cosh(b*x+a))","B"
2,1,308,70,0.018000," ","int((d*x+c)^3*sinh(b*x+a),x)","\frac{\frac{d^{3} \left(\left(b x +a \right)^{3} \cosh \left(b x +a \right)-3 \left(b x +a \right)^{2} \sinh \left(b x +a \right)+6 \left(b x +a \right) \cosh \left(b x +a \right)-6 \sinh \left(b x +a \right)\right)}{b^{3}}-\frac{3 d^{3} a \left(\left(b x +a \right)^{2} \cosh \left(b x +a \right)-2 \left(b x +a \right) \sinh \left(b x +a \right)+2 \cosh \left(b x +a \right)\right)}{b^{3}}+\frac{3 d^{2} c \left(\left(b x +a \right)^{2} \cosh \left(b x +a \right)-2 \left(b x +a \right) \sinh \left(b x +a \right)+2 \cosh \left(b x +a \right)\right)}{b^{2}}+\frac{3 d^{3} a^{2} \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b^{3}}-\frac{6 d^{2} a c \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b^{2}}+\frac{3 d \,c^{2} \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b}-\frac{d^{3} a^{3} \cosh \left(b x +a \right)}{b^{3}}+\frac{3 d^{2} a^{2} c \cosh \left(b x +a \right)}{b^{2}}-\frac{3 d a \,c^{2} \cosh \left(b x +a \right)}{b}+c^{3} \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^3*d^3*((b*x+a)^3*cosh(b*x+a)-3*(b*x+a)^2*sinh(b*x+a)+6*(b*x+a)*cosh(b*x+a)-6*sinh(b*x+a))-3/b^3*d^3*a*((b*x+a)^2*cosh(b*x+a)-2*(b*x+a)*sinh(b*x+a)+2*cosh(b*x+a))+3/b^2*d^2*c*((b*x+a)^2*cosh(b*x+a)-2*(b*x+a)*sinh(b*x+a)+2*cosh(b*x+a))+3/b^3*d^3*a^2*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))-6/b^2*d^2*a*c*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))+3/b*d*c^2*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))-1/b^3*d^3*a^3*cosh(b*x+a)+3/b^2*d^2*a^2*c*cosh(b*x+a)-3/b*d*a*c^2*cosh(b*x+a)+c^3*cosh(b*x+a))","B"
3,1,147,49,0.014000," ","int((d*x+c)^2*sinh(b*x+a),x)","\frac{\frac{d^{2} \left(\left(b x +a \right)^{2} \cosh \left(b x +a \right)-2 \left(b x +a \right) \sinh \left(b x +a \right)+2 \cosh \left(b x +a \right)\right)}{b^{2}}-\frac{2 d^{2} a \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b^{2}}+\frac{2 d c \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b}+\frac{d^{2} a^{2} \cosh \left(b x +a \right)}{b^{2}}-\frac{2 d a c \cosh \left(b x +a \right)}{b}+c^{2} \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^2*d^2*((b*x+a)^2*cosh(b*x+a)-2*(b*x+a)*sinh(b*x+a)+2*cosh(b*x+a))-2/b^2*d^2*a*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))+2/b*d*c*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))+1/b^2*d^2*a^2*cosh(b*x+a)-2/b*d*a*c*cosh(b*x+a)+c^2*cosh(b*x+a))","B"
4,1,53,28,0.014000," ","int((d*x+c)*sinh(b*x+a),x)","\frac{\frac{d \left(\left(b x +a \right) \cosh \left(b x +a \right)-\sinh \left(b x +a \right)\right)}{b}-\frac{d a \cosh \left(b x +a \right)}{b}+c \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b*d*((b*x+a)*cosh(b*x+a)-sinh(b*x+a))-1/b*d*a*cosh(b*x+a)+c*cosh(b*x+a))","A"
5,1,82,51,0.119000," ","int(sinh(b*x+a)/(d*x+c),x)","\frac{{\mathrm e}^{-\frac{d a -c b}{d}} \Ei \left(1, b x +a -\frac{d a -c b}{d}\right)}{2 d}-\frac{{\mathrm e}^{\frac{d a -c b}{d}} \Ei \left(1, -b x -a -\frac{-d a +c b}{d}\right)}{2 d}"," ",0,"1/2/d*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d)-1/2/d*exp((a*d-b*c)/d)*Ei(1,-b*x-a-(-a*d+b*c)/d)","A"
6,1,133,71,0.059000," ","int(sinh(b*x+a)/(d*x+c)^2,x)","\frac{b \,{\mathrm e}^{-b x -a}}{2 d \left(b d x +c b \right)}-\frac{b \,{\mathrm e}^{-\frac{d a -c b}{d}} \Ei \left(1, b x +a -\frac{d a -c b}{d}\right)}{2 d^{2}}-\frac{b \,{\mathrm e}^{b x +a}}{2 d^{2} \left(\frac{b c}{d}+b x \right)}-\frac{b \,{\mathrm e}^{\frac{d a -c b}{d}} \Ei \left(1, -b x -a -\frac{-d a +c b}{d}\right)}{2 d^{2}}"," ",0,"1/2*b*exp(-b*x-a)/d/(b*d*x+b*c)-1/2*b/d^2*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d)-1/2*b/d^2*exp(b*x+a)/(b*c/d+b*x)-1/2*b/d^2*exp((a*d-b*c)/d)*Ei(1,-b*x-a-(-a*d+b*c)/d)","A"
7,1,277,96,0.060000," ","int(sinh(b*x+a)/(d*x+c)^3,x)","-\frac{b^{3} {\mathrm e}^{-b x -a} x}{4 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}-\frac{b^{3} {\mathrm e}^{-b x -a} c}{4 d^{2} \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}+\frac{b^{2} {\mathrm e}^{-b x -a}}{4 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}+\frac{b^{2} {\mathrm e}^{-\frac{d a -c b}{d}} \Ei \left(1, b x +a -\frac{d a -c b}{d}\right)}{4 d^{3}}-\frac{b^{2} {\mathrm e}^{b x +a}}{4 d^{3} \left(\frac{b c}{d}+b x \right)^{2}}-\frac{b^{2} {\mathrm e}^{b x +a}}{4 d^{3} \left(\frac{b c}{d}+b x \right)}-\frac{b^{2} {\mathrm e}^{\frac{d a -c b}{d}} \Ei \left(1, -b x -a -\frac{-d a +c b}{d}\right)}{4 d^{3}}"," ",0,"-1/4*b^3*exp(-b*x-a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*x-1/4*b^3*exp(-b*x-a)/d^2/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*c+1/4*b^2*exp(-b*x-a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)+1/4*b^2/d^3*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d)-1/4*b^2/d^3*exp(b*x+a)/(b*c/d+b*x)^2-1/4*b^2/d^3*exp(b*x+a)/(b*c/d+b*x)-1/4*b^2/d^3*exp((a*d-b*c)/d)*Ei(1,-b*x-a-(-a*d+b*c)/d)","B"
8,1,910,148,0.036000," ","int((d*x+c)^4*sinh(b*x+a)^2,x)","\frac{\frac{12 d^{3} c \,a^{2} \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b^{3}}-\frac{12 d^{2} c^{2} a \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b^{2}}-\frac{12 d^{3} c a \left(\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{3}}{6}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{b x}{4}+\frac{a}{4}\right)}{b^{3}}-\frac{4 d a \,c^{3} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}+\frac{d^{4} \left(\frac{\left(b x +a \right)^{4} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{5}}{10}-\left(b x +a \right)^{3} \left(\cosh^{2}\left(b x +a \right)\right)+\frac{3 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}+\frac{\left(b x +a \right)^{3}}{2}-\frac{3 \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{3 b x}{4}+\frac{3 a}{4}\right)}{b^{4}}+\frac{d^{4} a^{4} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b^{4}}-\frac{4 d^{4} a \left(\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{4}}{8}-\frac{3 \left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{4}+\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{3 \left(b x +a \right)^{2}}{8}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{8}\right)}{b^{4}}+\frac{6 d^{4} a^{2} \left(\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{3}}{6}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{b x}{4}+\frac{a}{4}\right)}{b^{4}}-\frac{4 d^{4} a^{3} \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b^{4}}+\frac{4 d^{3} c \left(\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{4}}{8}-\frac{3 \left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{4}+\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{3 \left(b x +a \right)^{2}}{8}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{8}\right)}{b^{3}}+\frac{6 d^{2} c^{2} \left(\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{3}}{6}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{b x}{4}+\frac{a}{4}\right)}{b^{2}}+c^{4} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)+\frac{4 d \,c^{3} \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b}-\frac{4 d^{3} a^{3} c \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b^{3}}+\frac{6 d^{2} a^{2} c^{2} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b^{2}}}{b}"," ",0,"1/b*(12/b^3*d^3*c*a^2*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-12/b^2*d^2*c^2*a*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-12/b^3*d^3*c*a*(1/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/6*(b*x+a)^3-1/2*(b*x+a)*cosh(b*x+a)^2+1/4*cosh(b*x+a)*sinh(b*x+a)+1/4*b*x+1/4*a)-4/b*d*a*c^3*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+1/b^4*d^4*(1/2*(b*x+a)^4*cosh(b*x+a)*sinh(b*x+a)-1/10*(b*x+a)^5-(b*x+a)^3*cosh(b*x+a)^2+3/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)+1/2*(b*x+a)^3-3/2*(b*x+a)*cosh(b*x+a)^2+3/4*cosh(b*x+a)*sinh(b*x+a)+3/4*b*x+3/4*a)+1/b^4*d^4*a^4*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)-4/b^4*d^4*a*(1/2*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)-1/8*(b*x+a)^4-3/4*(b*x+a)^2*cosh(b*x+a)^2+3/4*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+3/8*(b*x+a)^2-3/8*cosh(b*x+a)^2)+6/b^4*d^4*a^2*(1/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/6*(b*x+a)^3-1/2*(b*x+a)*cosh(b*x+a)^2+1/4*cosh(b*x+a)*sinh(b*x+a)+1/4*b*x+1/4*a)-4/b^4*d^4*a^3*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)+4/b^3*d^3*c*(1/2*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)-1/8*(b*x+a)^4-3/4*(b*x+a)^2*cosh(b*x+a)^2+3/4*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+3/8*(b*x+a)^2-3/8*cosh(b*x+a)^2)+6/b^2*d^2*c^2*(1/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/6*(b*x+a)^3-1/2*(b*x+a)*cosh(b*x+a)^2+1/4*cosh(b*x+a)*sinh(b*x+a)+1/4*b*x+1/4*a)+c^4*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+4/b*d*c^3*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-4/b^3*d^3*a^3*c*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+6/b^2*d^2*a^2*c^2*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a))","B"
9,1,523,120,0.017000," ","int((d*x+c)^3*sinh(b*x+a)^2,x)","\frac{\frac{d^{3} \left(\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{4}}{8}-\frac{3 \left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{4}+\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{3 \left(b x +a \right)^{2}}{8}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{8}\right)}{b^{3}}-\frac{3 d^{3} a \left(\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{3}}{6}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{b x}{4}+\frac{a}{4}\right)}{b^{3}}+\frac{3 d^{3} a^{2} \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b^{3}}-\frac{d^{3} a^{3} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b^{3}}+\frac{3 c \,d^{2} \left(\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{3}}{6}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{b x}{4}+\frac{a}{4}\right)}{b^{2}}-\frac{6 c \,d^{2} a \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b^{2}}+\frac{3 c \,d^{2} a^{2} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b^{2}}+\frac{3 c^{2} d \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b}-\frac{3 c^{2} d a \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}+c^{3} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}"," ",0,"1/b*(1/b^3*d^3*(1/2*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)-1/8*(b*x+a)^4-3/4*(b*x+a)^2*cosh(b*x+a)^2+3/4*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+3/8*(b*x+a)^2-3/8*cosh(b*x+a)^2)-3/b^3*d^3*a*(1/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/6*(b*x+a)^3-1/2*(b*x+a)*cosh(b*x+a)^2+1/4*cosh(b*x+a)*sinh(b*x+a)+1/4*b*x+1/4*a)+3/b^3*d^3*a^2*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-1/b^3*d^3*a^3*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+3/b^2*c*d^2*(1/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/6*(b*x+a)^3-1/2*(b*x+a)*cosh(b*x+a)^2+1/4*cosh(b*x+a)*sinh(b*x+a)+1/4*b*x+1/4*a)-6/b^2*c*d^2*a*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)+3/b^2*c*d^2*a^2*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+3/b*c^2*d*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-3/b*c^2*d*a*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+c^3*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a))","B"
10,1,262,85,0.014000," ","int((d*x+c)^2*sinh(b*x+a)^2,x)","\frac{\frac{d^{2} \left(\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{3}}{6}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}+\frac{b x}{4}+\frac{a}{4}\right)}{b^{2}}-\frac{2 d^{2} a \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b^{2}}+\frac{d^{2} a^{2} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b^{2}}+\frac{2 c d \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b}-\frac{2 c d a \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}+c^{2} \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}"," ",0,"1/b*(1/b^2*d^2*(1/2*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/6*(b*x+a)^3-1/2*(b*x+a)*cosh(b*x+a)^2+1/4*cosh(b*x+a)*sinh(b*x+a)+1/4*b*x+1/4*a)-2/b^2*d^2*a*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)+1/b^2*d^2*a^2*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+2/b*c*d*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-2/b*c*d*a*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+c^2*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a))","B"
11,1,103,47,0.014000," ","int((d*x+c)*sinh(b*x+a)^2,x)","\frac{\frac{d \left(\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)}{b}-\frac{d a \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}+c \left(\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}\right)}{b}"," ",0,"1/b*(1/b*d*(1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2-1/4*cosh(b*x+a)^2)-1/b*d*a*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)+c*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a))","B"
12,1,97,72,0.181000," ","int(sinh(b*x+a)^2/(d*x+c),x)","-\frac{\ln \left(d x +c \right)}{2 d}-\frac{{\mathrm e}^{-\frac{2 \left(d a -c b \right)}{d}} \Ei \left(1, 2 b x +2 a -\frac{2 \left(d a -c b \right)}{d}\right)}{4 d}-\frac{{\mathrm e}^{\frac{2 d a -2 c b}{d}} \Ei \left(1, -2 b x -2 a -\frac{2 \left(-d a +c b \right)}{d}\right)}{4 d}"," ",0,"-1/2*ln(d*x+c)/d-1/4/d*exp(-2*(a*d-b*c)/d)*Ei(1,2*b*x+2*a-2*(a*d-b*c)/d)-1/4/d*exp(2*(a*d-b*c)/d)*Ei(1,-2*b*x-2*a-2*(-a*d+b*c)/d)","A"
13,1,152,81,0.138000," ","int(sinh(b*x+a)^2/(d*x+c)^2,x)","\frac{1}{2 d \left(d x +c \right)}-\frac{b \,{\mathrm e}^{-2 b x -2 a}}{4 \left(b d x +c b \right) d}+\frac{b \,{\mathrm e}^{-\frac{2 \left(d a -c b \right)}{d}} \Ei \left(1, 2 b x +2 a -\frac{2 \left(d a -c b \right)}{d}\right)}{2 d^{2}}-\frac{b \,{\mathrm e}^{2 b x +2 a}}{4 d^{2} \left(\frac{b c}{d}+b x \right)}-\frac{b \,{\mathrm e}^{\frac{2 d a -2 c b}{d}} \Ei \left(1, -2 b x -2 a -\frac{2 \left(-d a +c b \right)}{d}\right)}{2 d^{2}}"," ",0,"1/2/d/(d*x+c)-1/4*b*exp(-2*b*x-2*a)/(b*d*x+b*c)/d+1/2*b/d^2*exp(-2*(a*d-b*c)/d)*Ei(1,2*b*x+2*a-2*(a*d-b*c)/d)-1/4*b/d^2*exp(2*b*x+2*a)/(b*c/d+b*x)-1/2*b/d^2*exp(2*(a*d-b*c)/d)*Ei(1,-2*b*x-2*a-2*(-a*d+b*c)/d)","A"
14,1,299,110,0.151000," ","int(sinh(b*x+a)^2/(d*x+c)^3,x)","\frac{1}{4 d \left(d x +c \right)^{2}}+\frac{b^{3} {\mathrm e}^{-2 b x -2 a} x}{4 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}+\frac{b^{3} {\mathrm e}^{-2 b x -2 a} c}{4 d^{2} \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}-\frac{b^{2} {\mathrm e}^{-2 b x -2 a}}{8 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}-\frac{b^{2} {\mathrm e}^{-\frac{2 \left(d a -c b \right)}{d}} \Ei \left(1, 2 b x +2 a -\frac{2 \left(d a -c b \right)}{d}\right)}{2 d^{3}}-\frac{b^{2} {\mathrm e}^{2 b x +2 a}}{8 d^{3} \left(\frac{b c}{d}+b x \right)^{2}}-\frac{b^{2} {\mathrm e}^{2 b x +2 a}}{4 d^{3} \left(\frac{b c}{d}+b x \right)}-\frac{b^{2} {\mathrm e}^{\frac{2 d a -2 c b}{d}} \Ei \left(1, -2 b x -2 a -\frac{2 \left(-d a +c b \right)}{d}\right)}{2 d^{3}}"," ",0,"1/4/d/(d*x+c)^2+1/4*b^3*exp(-2*b*x-2*a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*x+1/4*b^3*exp(-2*b*x-2*a)/d^2/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*c-1/8*b^2*exp(-2*b*x-2*a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)-1/2*b^2/d^3*exp(-2*(a*d-b*c)/d)*Ei(1,2*b*x+2*a-2*(a*d-b*c)/d)-1/8*b^2/d^3*exp(2*b*x+2*a)/(b*c/d+b*x)^2-1/4*b^2/d^3*exp(2*b*x+2*a)/(b*c/d+b*x)-1/2*b^2/d^3*exp(2*(a*d-b*c)/d)*Ei(1,-2*b*x-2*a-2*(-a*d+b*c)/d)","B"
15,1,555,150,0.157000," ","int(sinh(b*x+a)^2/(d*x+c)^4,x)","\frac{1}{6 d \left(d x +c \right)^{3}}-\frac{b^{5} {\mathrm e}^{-2 b x -2 a} x^{2}}{6 d \left(b^{3} d^{3} x^{3}+3 b^{3} c \,d^{2} x^{2}+3 b^{3} c^{2} d x +c^{3} b^{3}\right)}-\frac{b^{5} {\mathrm e}^{-2 b x -2 a} c x}{3 d^{2} \left(b^{3} d^{3} x^{3}+3 b^{3} c \,d^{2} x^{2}+3 b^{3} c^{2} d x +c^{3} b^{3}\right)}-\frac{b^{5} {\mathrm e}^{-2 b x -2 a} c^{2}}{6 d^{3} \left(b^{3} d^{3} x^{3}+3 b^{3} c \,d^{2} x^{2}+3 b^{3} c^{2} d x +c^{3} b^{3}\right)}+\frac{b^{4} {\mathrm e}^{-2 b x -2 a} x}{12 d \left(b^{3} d^{3} x^{3}+3 b^{3} c \,d^{2} x^{2}+3 b^{3} c^{2} d x +c^{3} b^{3}\right)}+\frac{b^{4} {\mathrm e}^{-2 b x -2 a} c}{12 d^{2} \left(b^{3} d^{3} x^{3}+3 b^{3} c \,d^{2} x^{2}+3 b^{3} c^{2} d x +c^{3} b^{3}\right)}-\frac{b^{3} {\mathrm e}^{-2 b x -2 a}}{12 d \left(b^{3} d^{3} x^{3}+3 b^{3} c \,d^{2} x^{2}+3 b^{3} c^{2} d x +c^{3} b^{3}\right)}+\frac{b^{3} {\mathrm e}^{-\frac{2 \left(d a -c b \right)}{d}} \Ei \left(1, 2 b x +2 a -\frac{2 \left(d a -c b \right)}{d}\right)}{3 d^{4}}-\frac{b^{3} {\mathrm e}^{2 b x +2 a}}{12 d^{4} \left(\frac{b c}{d}+b x \right)^{3}}-\frac{b^{3} {\mathrm e}^{2 b x +2 a}}{12 d^{4} \left(\frac{b c}{d}+b x \right)^{2}}-\frac{b^{3} {\mathrm e}^{2 b x +2 a}}{6 d^{4} \left(\frac{b c}{d}+b x \right)}-\frac{b^{3} {\mathrm e}^{\frac{2 d a -2 c b}{d}} \Ei \left(1, -2 b x -2 a -\frac{2 \left(-d a +c b \right)}{d}\right)}{3 d^{4}}"," ",0,"1/6/d/(d*x+c)^3-1/6*b^5*exp(-2*b*x-2*a)/d/(b^3*d^3*x^3+3*b^3*c*d^2*x^2+3*b^3*c^2*d*x+b^3*c^3)*x^2-1/3*b^5*exp(-2*b*x-2*a)/d^2/(b^3*d^3*x^3+3*b^3*c*d^2*x^2+3*b^3*c^2*d*x+b^3*c^3)*c*x-1/6*b^5*exp(-2*b*x-2*a)/d^3/(b^3*d^3*x^3+3*b^3*c*d^2*x^2+3*b^3*c^2*d*x+b^3*c^3)*c^2+1/12*b^4*exp(-2*b*x-2*a)/d/(b^3*d^3*x^3+3*b^3*c*d^2*x^2+3*b^3*c^2*d*x+b^3*c^3)*x+1/12*b^4*exp(-2*b*x-2*a)/d^2/(b^3*d^3*x^3+3*b^3*c*d^2*x^2+3*b^3*c^2*d*x+b^3*c^3)*c-1/12*b^3*exp(-2*b*x-2*a)/d/(b^3*d^3*x^3+3*b^3*c*d^2*x^2+3*b^3*c^2*d*x+b^3*c^3)+1/3*b^3/d^4*exp(-2*(a*d-b*c)/d)*Ei(1,2*b*x+2*a-2*(a*d-b*c)/d)-1/12*b^3/d^4*exp(2*b*x+2*a)/(b*c/d+b*x)^3-1/12*b^3/d^4*exp(2*b*x+2*a)/(b*c/d+b*x)^2-1/6*b^3/d^4*exp(2*b*x+2*a)/(b*c/d+b*x)-1/3*b^3/d^4*exp(2*(a*d-b*c)/d)*Ei(1,-2*b*x-2*a-2*(-a*d+b*c)/d)","B"
16,1,1139,205,0.140000," ","int((d*x+c)^4*sinh(b*x+a)^3,x)","\frac{\frac{d^{4} \left(-\frac{2 \left(b x +a \right)^{4} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{4} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{8 \left(b x +a \right)^{3} \sinh \left(b x +a \right)}{3}-\frac{80 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{9}+\frac{160 \left(b x +a \right) \sinh \left(b x +a \right)}{9}-\frac{1456 \cosh \left(b x +a \right)}{81}-\frac{4 \left(b x +a \right)^{3} \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{4 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{8 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{27}+\frac{8 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{81}\right)}{b^{4}}-\frac{4 d^{4} a \left(-\frac{2 \left(b x +a \right)^{3} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)-\frac{40 \left(b x +a \right) \cosh \left(b x +a \right)}{9}+\frac{40 \sinh \left(b x +a \right)}{9}-\frac{\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{2 \left(\sinh^{3}\left(b x +a \right)\right)}{27}\right)}{b^{4}}+\frac{6 d^{4} a^{2} \left(-\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}-\frac{40 \cosh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}\right)}{b^{4}}-\frac{4 d^{4} a^{3} \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{4}}+\frac{d^{4} a^{4} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b^{4}}+\frac{4 c \,d^{3} \left(-\frac{2 \left(b x +a \right)^{3} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)-\frac{40 \left(b x +a \right) \cosh \left(b x +a \right)}{9}+\frac{40 \sinh \left(b x +a \right)}{9}-\frac{\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{2 \left(\sinh^{3}\left(b x +a \right)\right)}{27}\right)}{b^{3}}-\frac{12 c \,d^{3} a \left(-\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}-\frac{40 \cosh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}\right)}{b^{3}}+\frac{12 c \,d^{3} a^{2} \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{3}}-\frac{4 c \,d^{3} a^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b^{3}}+\frac{6 c^{2} d^{2} \left(-\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}-\frac{40 \cosh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}\right)}{b^{2}}-\frac{12 c^{2} d^{2} a \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{2}}+\frac{6 c^{2} d^{2} a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b^{2}}+\frac{4 c^{3} d \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{4 c^{3} d a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}+c^{4} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^4*d^4*(-2/3*(b*x+a)^4*cosh(b*x+a)+1/3*(b*x+a)^4*cosh(b*x+a)*sinh(b*x+a)^2+8/3*(b*x+a)^3*sinh(b*x+a)-80/9*(b*x+a)^2*cosh(b*x+a)+160/9*(b*x+a)*sinh(b*x+a)-1456/81*cosh(b*x+a)-4/9*(b*x+a)^3*sinh(b*x+a)^3+4/9*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2-8/27*(b*x+a)*sinh(b*x+a)^3+8/81*cosh(b*x+a)*sinh(b*x+a)^2)-4/b^4*d^4*a*(-2/3*(b*x+a)^3*cosh(b*x+a)+1/3*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)^2+2*(b*x+a)^2*sinh(b*x+a)-40/9*(b*x+a)*cosh(b*x+a)+40/9*sinh(b*x+a)-1/3*(b*x+a)^2*sinh(b*x+a)^3+2/9*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2-2/27*sinh(b*x+a)^3)+6/b^4*d^4*a^2*(-2/3*(b*x+a)^2*cosh(b*x+a)+1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2+4/3*(b*x+a)*sinh(b*x+a)-40/27*cosh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)^3+2/27*cosh(b*x+a)*sinh(b*x+a)^2)-4/b^4*d^4*a^3*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)+1/b^4*d^4*a^4*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+4/b^3*c*d^3*(-2/3*(b*x+a)^3*cosh(b*x+a)+1/3*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)^2+2*(b*x+a)^2*sinh(b*x+a)-40/9*(b*x+a)*cosh(b*x+a)+40/9*sinh(b*x+a)-1/3*(b*x+a)^2*sinh(b*x+a)^3+2/9*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2-2/27*sinh(b*x+a)^3)-12/b^3*c*d^3*a*(-2/3*(b*x+a)^2*cosh(b*x+a)+1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2+4/3*(b*x+a)*sinh(b*x+a)-40/27*cosh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)^3+2/27*cosh(b*x+a)*sinh(b*x+a)^2)+12/b^3*c*d^3*a^2*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)-4/b^3*c*d^3*a^3*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+6/b^2*c^2*d^2*(-2/3*(b*x+a)^2*cosh(b*x+a)+1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2+4/3*(b*x+a)*sinh(b*x+a)-40/27*cosh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)^3+2/27*cosh(b*x+a)*sinh(b*x+a)^2)-12/b^2*c^2*d^2*a*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)+6/b^2*c^2*d^2*a^2*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+4/b*c^3*d*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)-4/b*c^3*d*a*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+c^4*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a))","B"
17,1,634,161,0.016000," ","int((d*x+c)^3*sinh(b*x+a)^3,x)","\frac{\frac{d^{3} \left(-\frac{2 \left(b x +a \right)^{3} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)-\frac{40 \left(b x +a \right) \cosh \left(b x +a \right)}{9}+\frac{40 \sinh \left(b x +a \right)}{9}-\frac{\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{2 \left(\sinh^{3}\left(b x +a \right)\right)}{27}\right)}{b^{3}}-\frac{3 d^{3} a \left(-\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}-\frac{40 \cosh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}\right)}{b^{3}}+\frac{3 d^{3} a^{2} \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{3}}-\frac{d^{3} a^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b^{3}}+\frac{3 c \,d^{2} \left(-\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}-\frac{40 \cosh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}\right)}{b^{2}}-\frac{6 c \,d^{2} a \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{2}}+\frac{3 c \,d^{2} a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b^{2}}+\frac{3 c^{2} d \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{3 c^{2} d a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}+c^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^3*d^3*(-2/3*(b*x+a)^3*cosh(b*x+a)+1/3*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)^2+2*(b*x+a)^2*sinh(b*x+a)-40/9*(b*x+a)*cosh(b*x+a)+40/9*sinh(b*x+a)-1/3*(b*x+a)^2*sinh(b*x+a)^3+2/9*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2-2/27*sinh(b*x+a)^3)-3/b^3*d^3*a*(-2/3*(b*x+a)^2*cosh(b*x+a)+1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2+4/3*(b*x+a)*sinh(b*x+a)-40/27*cosh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)^3+2/27*cosh(b*x+a)*sinh(b*x+a)^2)+3/b^3*d^3*a^2*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)-1/b^3*d^3*a^3*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+3/b^2*c*d^2*(-2/3*(b*x+a)^2*cosh(b*x+a)+1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2+4/3*(b*x+a)*sinh(b*x+a)-40/27*cosh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)^3+2/27*cosh(b*x+a)*sinh(b*x+a)^2)-6/b^2*c*d^2*a*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)+3/b^2*c*d^2*a^2*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+3/b*c^2*d*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)-3/b*c^2*d*a*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+c^3*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a))","B"
18,1,302,111,0.019000," ","int((d*x+c)^2*sinh(b*x+a)^3,x)","\frac{\frac{d^{2} \left(-\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}-\frac{40 \cosh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}\right)}{b^{2}}-\frac{2 d^{2} a \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{2}}+\frac{d^{2} a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b^{2}}+\frac{2 c d \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{2 c d a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}+c^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^2*d^2*(-2/3*(b*x+a)^2*cosh(b*x+a)+1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2+4/3*(b*x+a)*sinh(b*x+a)-40/27*cosh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)^3+2/27*cosh(b*x+a)*sinh(b*x+a)^2)-2/b^2*d^2*a*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)+1/b^2*d^2*a^2*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+2/b*c*d*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)-2/b*c*d*a*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+c^2*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a))","B"
19,1,109,67,0.019000," ","int((d*x+c)*sinh(b*x+a)^3,x)","\frac{\frac{d \left(-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}+\frac{2 \sinh \left(b x +a \right)}{3}-\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{d a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}+c \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b*d*(-2/3*(b*x+a)*cosh(b*x+a)+1/3*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2+2/3*sinh(b*x+a)-1/9*sinh(b*x+a)^3)-1/b*d*a*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+c*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a))","A"
20,1,166,113,0.152000," ","int(sinh(b*x+a)^3/(d*x+c),x)","\frac{{\mathrm e}^{-\frac{3 \left(d a -c b \right)}{d}} \Ei \left(1, 3 b x +3 a -\frac{3 \left(d a -c b \right)}{d}\right)}{8 d}-\frac{3 \,{\mathrm e}^{-\frac{d a -c b}{d}} \Ei \left(1, b x +a -\frac{d a -c b}{d}\right)}{8 d}+\frac{3 \,{\mathrm e}^{\frac{d a -c b}{d}} \Ei \left(1, -b x -a -\frac{-d a +c b}{d}\right)}{8 d}-\frac{{\mathrm e}^{\frac{3 d a -3 c b}{d}} \Ei \left(1, -3 b x -3 a -\frac{3 \left(-d a +c b \right)}{d}\right)}{8 d}"," ",0,"1/8/d*exp(-3*(a*d-b*c)/d)*Ei(1,3*b*x+3*a-3*(a*d-b*c)/d)-3/8/d*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d)+3/8/d*exp((a*d-b*c)/d)*Ei(1,-b*x-a-(-a*d+b*c)/d)-1/8/d*exp(3*(a*d-b*c)/d)*Ei(1,-3*b*x-3*a-3*(-a*d+b*c)/d)","A"
21,1,271,137,0.157000," ","int(sinh(b*x+a)^3/(d*x+c)^2,x)","\frac{b \,{\mathrm e}^{-3 b x -3 a}}{8 \left(b d x +c b \right) d}-\frac{3 b \,{\mathrm e}^{-\frac{3 \left(d a -c b \right)}{d}} \Ei \left(1, 3 b x +3 a -\frac{3 \left(d a -c b \right)}{d}\right)}{8 d^{2}}-\frac{3 b \,{\mathrm e}^{-b x -a}}{8 d \left(b d x +c b \right)}+\frac{3 b \,{\mathrm e}^{-\frac{d a -c b}{d}} \Ei \left(1, b x +a -\frac{d a -c b}{d}\right)}{8 d^{2}}+\frac{3 b \,{\mathrm e}^{b x +a}}{8 d^{2} \left(\frac{b c}{d}+b x \right)}+\frac{3 b \,{\mathrm e}^{\frac{d a -c b}{d}} \Ei \left(1, -b x -a -\frac{-d a +c b}{d}\right)}{8 d^{2}}-\frac{b \,{\mathrm e}^{3 b x +3 a}}{8 d^{2} \left(\frac{b c}{d}+b x \right)}-\frac{3 b \,{\mathrm e}^{\frac{3 d a -3 c b}{d}} \Ei \left(1, -3 b x -3 a -\frac{3 \left(-d a +c b \right)}{d}\right)}{8 d^{2}}"," ",0,"1/8*b*exp(-3*b*x-3*a)/(b*d*x+b*c)/d-3/8*b/d^2*exp(-3*(a*d-b*c)/d)*Ei(1,3*b*x+3*a-3*(a*d-b*c)/d)-3/8*b*exp(-b*x-a)/d/(b*d*x+b*c)+3/8*b/d^2*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d)+3/8*b/d^2*exp(b*x+a)/(b*c/d+b*x)+3/8*b/d^2*exp((a*d-b*c)/d)*Ei(1,-b*x-a-(-a*d+b*c)/d)-1/8*b/d^2*exp(3*b*x+3*a)/(b*c/d+b*x)-3/8*b/d^2*exp(3*(a*d-b*c)/d)*Ei(1,-3*b*x-3*a-3*(-a*d+b*c)/d)","A"
22,1,562,172,0.177000," ","int(sinh(b*x+a)^3/(d*x+c)^3,x)","-\frac{3 b^{3} {\mathrm e}^{-3 b x -3 a} x}{16 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}-\frac{3 b^{3} {\mathrm e}^{-3 b x -3 a} c}{16 d^{2} \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}+\frac{b^{2} {\mathrm e}^{-3 b x -3 a}}{16 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}+\frac{9 b^{2} {\mathrm e}^{-\frac{3 \left(d a -c b \right)}{d}} \Ei \left(1, 3 b x +3 a -\frac{3 \left(d a -c b \right)}{d}\right)}{16 d^{3}}+\frac{3 b^{3} {\mathrm e}^{-b x -a} x}{16 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}+\frac{3 b^{3} {\mathrm e}^{-b x -a} c}{16 d^{2} \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}-\frac{3 b^{2} {\mathrm e}^{-b x -a}}{16 d \left(b^{2} d^{2} x^{2}+2 b^{2} c d x +c^{2} b^{2}\right)}-\frac{3 b^{2} {\mathrm e}^{-\frac{d a -c b}{d}} \Ei \left(1, b x +a -\frac{d a -c b}{d}\right)}{16 d^{3}}+\frac{3 b^{2} {\mathrm e}^{b x +a}}{16 d^{3} \left(\frac{b c}{d}+b x \right)^{2}}+\frac{3 b^{2} {\mathrm e}^{b x +a}}{16 d^{3} \left(\frac{b c}{d}+b x \right)}+\frac{3 b^{2} {\mathrm e}^{\frac{d a -c b}{d}} \Ei \left(1, -b x -a -\frac{-d a +c b}{d}\right)}{16 d^{3}}-\frac{b^{2} {\mathrm e}^{3 b x +3 a}}{16 d^{3} \left(\frac{b c}{d}+b x \right)^{2}}-\frac{3 b^{2} {\mathrm e}^{3 b x +3 a}}{16 d^{3} \left(\frac{b c}{d}+b x \right)}-\frac{9 b^{2} {\mathrm e}^{\frac{3 d a -3 c b}{d}} \Ei \left(1, -3 b x -3 a -\frac{3 \left(-d a +c b \right)}{d}\right)}{16 d^{3}}"," ",0,"-3/16*b^3*exp(-3*b*x-3*a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*x-3/16*b^3*exp(-3*b*x-3*a)/d^2/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*c+1/16*b^2*exp(-3*b*x-3*a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)+9/16*b^2/d^3*exp(-3*(a*d-b*c)/d)*Ei(1,3*b*x+3*a-3*(a*d-b*c)/d)+3/16*b^3*exp(-b*x-a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*x+3/16*b^3*exp(-b*x-a)/d^2/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)*c-3/16*b^2*exp(-b*x-a)/d/(b^2*d^2*x^2+2*b^2*c*d*x+b^2*c^2)-3/16*b^2/d^3*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d)+3/16*b^2/d^3*exp(b*x+a)/(b*c/d+b*x)^2+3/16*b^2/d^3*exp(b*x+a)/(b*c/d+b*x)+3/16*b^2/d^3*exp((a*d-b*c)/d)*Ei(1,-b*x-a-(-a*d+b*c)/d)-1/16*b^2/d^3*exp(3*b*x+3*a)/(b*c/d+b*x)^2-3/16*b^2/d^3*exp(3*b*x+3*a)/(b*c/d+b*x)-9/16*b^2/d^3*exp(3*(a*d-b*c)/d)*Ei(1,-3*b*x-3*a-3*(-a*d+b*c)/d)","B"
23,1,541,142,0.106000," ","int((d*x+c)^3*csch(b*x+a),x)","\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{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 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{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{d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}-\frac{6 c \,d^{2} a^{2} \arctanh \left({\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} 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{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^{2} d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{3 c \,d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{6 c \,d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{6 c \,d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{6 c^{2} d a \arctanh \left({\mathrm e}^{b x +a}\right)}{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}"," ",0,"-6*d^3*polylog(4,-exp(b*x+a))/b^4+6*d^3*polylog(4,exp(b*x+a))/b^4+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+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*c^2*d*polylog(2,exp(b*x+a))-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+1/b^4*d^3*ln(1-exp(b*x+a))*a^3-6/b^2*c*d^2*polylog(2,-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*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^2*c^2*d*ln(1-exp(b*x+a))*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))","B"
24,1,306,94,0.049000," ","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"
25,1,60,47,0.007000," ","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"
26,0,0,16,0.096000," ","int(csch(b*x+a)/(d*x+c),x)","\int \frac{\mathrm{csch}\left(b x +a \right)}{d x +c}\, dx"," ",0,"int(csch(b*x+a)/(d*x+c),x)","F"
27,0,0,16,0.080000," ","int(csch(b*x+a)/(d*x+c)^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(csch(b*x+a)/(d*x+c)^2,x)","F"
28,1,473,101,0.180000," ","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{6 d^{2} c \,x^{2}}{b}-\frac{6 d^{2} c \,a^{2}}{b^{3}}+\frac{6 d^{3} a^{2} x}{b^{3}}-\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{3 d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}-\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{4 d^{3} a^{3}}{b^{4}}-\frac{2 d^{3} x^{3}}{b}-\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{12 d^{2} c a x}{b^{2}}+\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) 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 \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-3/b^4*d^3*ln(1-exp(b*x+a))*a^2+6/b^3*d^3*polylog(2,exp(b*x+a))*x-6/b^2*d*c^2*ln(exp(b*x+a))+3/b^2*d*c^2*ln(exp(b*x+a)-1)+3/b^2*d*c^2*ln(1+exp(b*x+a))-6/b*d^2*c*x^2-6/b^3*d^2*c*a^2+6/b^3*d^3*a^2*x-6/b^4*d^3*a^2*ln(exp(b*x+a))+3/b^4*d^3*a^2*ln(exp(b*x+a)-1)+6/b^3*d^2*c*polylog(2,-exp(b*x+a))+6/b^3*d^2*c*polylog(2,exp(b*x+a))+3/b^2*d^3*ln(1+exp(b*x+a))*x^2+6/b^3*d^3*polylog(2,-exp(b*x+a))*x+3/b^2*d^3*ln(1-exp(b*x+a))*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)+4/b^4*d^3*a^3-2/b*d^3*x^3-6/b^4*d^3*polylog(3,-exp(b*x+a))-6/b^4*d^3*polylog(3,exp(b*x+a))-6/b^3*d^2*c*a*ln(exp(b*x+a)-1)-12/b^2*d^2*c*a*x+6/b^2*d^2*c*ln(1+exp(b*x+a))*x+6/b^2*d^2*c*ln(1-exp(b*x+a))*x+6/b^3*d^2*c*ln(1-exp(b*x+a))*a+12/b^3*d^2*c*a*ln(exp(b*x+a))","B"
29,1,240,74,0.047000," ","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/b^2*d*c*ln(exp(b*x+a))+2/b^2*d*c*ln(exp(b*x+a)-1)+2/b^2*d*c*ln(1+exp(b*x+a))-2/b*d^2*x^2-4/b^2*d^2*a*x-2/b^3*d^2*a^2+2/b^2*d^2*ln(1+exp(b*x+a))*x+2/b^3*d^2*polylog(2,-exp(b*x+a))+2/b^2*d^2*ln(1-exp(b*x+a))*x+2/b^3*d^2*ln(1-exp(b*x+a))*a+2/b^3*d^2*polylog(2,exp(b*x+a))+4/b^3*d^2*a*ln(exp(b*x+a))-2/b^3*d^2*a*ln(exp(b*x+a)-1)","B"
30,1,56,29,0.039000," ","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"
31,0,0,18,0.104000," ","int(csch(b*x+a)^2/(d*x+c),x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2}}{d x +c}\, dx"," ",0,"int(csch(b*x+a)^2/(d*x+c),x)","F"
32,0,0,18,0.109000," ","int(csch(b*x+a)^2/(d*x+c)^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(csch(b*x+a)^2/(d*x+c)^2,x)","F"
33,1,876,238,0.178000," ","int((d*x+c)^3*csch(b*x+a)^3,x)","-\frac{3 d^{3} \polylog \left(2, {\mathrm e}^{b x +a}\right) x^{2}}{2 b^{2}}+\frac{3 d^{3} \polylog \left(3, {\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{d^{3} a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{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 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(3, -{\mathrm e}^{b x +a}\right) x}{b^{3}}+\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{d^{3} \ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{2 b^{4}}-\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{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{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} \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 c \,d^{2} a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{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} 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 \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^{2} d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{3 c \,d^{2} \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{2 b}+\frac{3 c \,d^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{3 c \,d^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{3 c^{2} d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\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} \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}"," ",0,"3*d^3*polylog(4,-exp(b*x+a))/b^4-3*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^4-3/2/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/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*c^2*d*polylog(2,exp(b*x+a))+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^3-1/2/b^4*d^3*ln(1-exp(b*x+a))*a^3-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+6/b^4*d^3*a*arctanh(exp(b*x+a))-6/b^3*c*d^2*arctanh(exp(b*x+a))-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^3*d^3*ln(1-exp(b*x+a))*x+3/b^4*d^3*ln(1-exp(b*x+a))*a+3/b^2*c*d^2*polylog(2,-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*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^2*c^2*d*ln(1-exp(b*x+a))*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))+1/b*c^3*arctanh(exp(b*x+a))","B"
34,1,444,147,0.069000," ","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} \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\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{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{2 c d a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\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{c d \ln \left(1-{\mathrm e}^{b x +a}\right) a}{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}}"," ",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-d^2*polylog(3,-exp(b*x+a))/b^3+d^2*polylog(3,exp(b*x+a))/b^3-2/b^3*d^2*arctanh(exp(b*x+a))+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))-2/b^2*c*d*a*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-1/b^2*c*d*ln(1-exp(b*x+a))*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","B"
35,1,197,81,0.065000," ","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"
36,0,0,18,0.722000," ","int(csch(b*x+a)^3/(d*x+c),x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3}}{d x +c}\, dx"," ",0,"int(csch(b*x+a)^3/(d*x+c),x)","F"
37,0,0,18,1.073000," ","int(csch(b*x+a)^3/(d*x+c)^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(csch(b*x+a)^3/(d*x+c)^2,x)","F"
38,0,0,131,0.093000," ","int((d*x+c)^(5/2)*sinh(b*x+a),x)","\int \left(d x +c \right)^{\frac{5}{2}} \sinh \left(b x +a \right)\, dx"," ",0,"int((d*x+c)^(5/2)*sinh(b*x+a),x)","F"
39,0,0,110,0.092000," ","int((d*x+c)^(3/2)*sinh(b*x+a),x)","\int \left(d x +c \right)^{\frac{3}{2}} \sinh \left(b x +a \right)\, dx"," ",0,"int((d*x+c)^(3/2)*sinh(b*x+a),x)","F"
40,0,0,91,0.085000," ","int(sinh(b*x+a)*(d*x+c)^(1/2),x)","\int \sinh \left(b x +a \right) \sqrt{d x +c}\, dx"," ",0,"int(sinh(b*x+a)*(d*x+c)^(1/2),x)","F"
41,0,0,74,0.083000," ","int(sinh(b*x+a)/(d*x+c)^(1/2),x)","\int \frac{\sinh \left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(sinh(b*x+a)/(d*x+c)^(1/2),x)","F"
42,0,0,90,0.084000," ","int(sinh(b*x+a)/(d*x+c)^(3/2),x)","\int \frac{\sinh \left(b x +a \right)}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(sinh(b*x+a)/(d*x+c)^(3/2),x)","F"
43,0,0,111,0.086000," ","int(sinh(b*x+a)/(d*x+c)^(5/2),x)","\int \frac{\sinh \left(b x +a \right)}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(sinh(b*x+a)/(d*x+c)^(5/2),x)","F"
44,0,0,132,0.085000," ","int(sinh(b*x+a)/(d*x+c)^(7/2),x)","\int \frac{\sinh \left(b x +a \right)}{\left(d x +c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(sinh(b*x+a)/(d*x+c)^(7/2),x)","F"
45,0,0,183,0.122000," ","int((d*x+c)^(5/2)*sinh(b*x+a)^2,x)","\int \left(d x +c \right)^{\frac{5}{2}} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(5/2)*sinh(b*x+a)^2,x)","F"
46,0,0,159,0.118000," ","int((d*x+c)^(3/2)*sinh(b*x+a)^2,x)","\int \left(d x +c \right)^{\frac{3}{2}} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(3/2)*sinh(b*x+a)^2,x)","F"
47,0,0,122,0.111000," ","int(sinh(b*x+a)^2*(d*x+c)^(1/2),x)","\int \left(\sinh^{2}\left(b x +a \right)\right) \sqrt{d x +c}\, dx"," ",0,"int(sinh(b*x+a)^2*(d*x+c)^(1/2),x)","F"
48,0,0,101,0.127000," ","int(sinh(b*x+a)^2/(d*x+c)^(1/2),x)","\int \frac{\sinh^{2}\left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(sinh(b*x+a)^2/(d*x+c)^(1/2),x)","F"
49,0,0,109,0.117000," ","int(sinh(b*x+a)^2/(d*x+c)^(3/2),x)","\int \frac{\sinh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^2/(d*x+c)^(3/2),x)","F"
50,0,0,134,0.119000," ","int(sinh(b*x+a)^2/(d*x+c)^(5/2),x)","\int \frac{\sinh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^2/(d*x+c)^(5/2),x)","F"
51,0,0,172,0.121000," ","int(sinh(b*x+a)^2/(d*x+c)^(7/2),x)","\int \frac{\sinh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^2/(d*x+c)^(7/2),x)","F"
52,0,0,199,0.125000," ","int(sinh(b*x+a)^2/(d*x+c)^(9/2),x)","\int \frac{\sinh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{9}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^2/(d*x+c)^(9/2),x)","F"
53,0,0,291,0.171000," ","int((d*x+c)^(5/2)*sinh(b*x+a)^3,x)","\int \left(d x +c \right)^{\frac{5}{2}} \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(5/2)*sinh(b*x+a)^3,x)","F"
54,0,0,245,0.155000," ","int((d*x+c)^(3/2)*sinh(b*x+a)^3,x)","\int \left(d x +c \right)^{\frac{3}{2}} \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(3/2)*sinh(b*x+a)^3,x)","F"
55,0,0,201,0.171000," ","int(sinh(b*x+a)^3*(d*x+c)^(1/2),x)","\int \left(\sinh^{3}\left(b x +a \right)\right) \sqrt{d x +c}\, dx"," ",0,"int(sinh(b*x+a)^3*(d*x+c)^(1/2),x)","F"
56,0,0,162,0.197000," ","int(sinh(b*x+a)^3/(d*x+c)^(1/2),x)","\int \frac{\sinh^{3}\left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(sinh(b*x+a)^3/(d*x+c)^(1/2),x)","F"
57,0,0,182,0.167000," ","int(sinh(b*x+a)^3/(d*x+c)^(3/2),x)","\int \frac{\sinh^{3}\left(b x +a \right)}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^3/(d*x+c)^(3/2),x)","F"
58,0,0,209,0.158000," ","int(sinh(b*x+a)^3/(d*x+c)^(5/2),x)","\int \frac{\sinh^{3}\left(b x +a \right)}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^3/(d*x+c)^(5/2),x)","F"
59,0,0,253,0.163000," ","int(sinh(b*x+a)^3/(d*x+c)^(7/2),x)","\int \frac{\sinh^{3}\left(b x +a \right)}{\left(d x +c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^3/(d*x+c)^(7/2),x)","F"
60,1,132,77,0.078000," ","int((d*x)^(3/2)*sinh(f*x),x)","-\frac{2 \left(d x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \left(-\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{7}{2}} \left(-14 f x +21\right) {\mathrm e}^{f x}}{112 \sqrt{\pi}\, f^{3}}+\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{7}{2}} \left(14 f x +21\right) {\mathrm e}^{-f x}}{112 \sqrt{\pi}\, f^{3}}-\frac{3 \left(i f \right)^{\frac{7}{2}} \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{32 f^{\frac{7}{2}}}+\frac{3 \left(i f \right)^{\frac{7}{2}} \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{32 f^{\frac{7}{2}}}\right)}{x^{\frac{3}{2}} \left(i f \right)^{\frac{3}{2}} f}"," ",0,"-2*(d*x)^(3/2)/x^(3/2)*2^(1/2)/(I*f)^(3/2)*Pi^(1/2)/f*(-1/112/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(7/2)*(-14*f*x+21)/f^3*exp(f*x)+1/112/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(7/2)*(14*f*x+21)/f^3*exp(-f*x)-3/32*(I*f)^(7/2)*2^(1/2)/f^(7/2)*erf(x^(1/2)*f^(1/2))+3/32*(I*f)^(7/2)*2^(1/2)/f^(7/2)*erfi(x^(1/2)*f^(1/2)))","C"
61,1,120,62,0.028000," ","int(sinh(f*x)*(d*x)^(1/2),x)","-\frac{\sqrt{\pi}\, \sqrt{d x}\, \sqrt{2}\, \left(\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{5}{2}} {\mathrm e}^{-f x}}{4 \sqrt{\pi}\, f^{2}}+\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{5}{2}} {\mathrm e}^{f x}}{4 \sqrt{\pi}\, f^{2}}-\frac{\left(i f \right)^{\frac{5}{2}} \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{8 f^{\frac{5}{2}}}-\frac{\left(i f \right)^{\frac{5}{2}} \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{8 f^{\frac{5}{2}}}\right)}{\sqrt{x}\, \sqrt{i f}\, f}"," ",0,"-Pi^(1/2)*(d*x)^(1/2)/x^(1/2)*2^(1/2)/(I*f)^(1/2)/f*(1/4/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(5/2)/f^2*exp(-f*x)+1/4/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(5/2)/f^2*exp(f*x)-1/8*(I*f)^(5/2)*2^(1/2)/f^(5/2)*erf(x^(1/2)*f^(1/2))-1/8*(I*f)^(5/2)*2^(1/2)/f^(5/2)*erfi(x^(1/2)*f^(1/2)))","C"
62,1,71,49,0.027000," ","int(sinh(f*x)/(d*x)^(1/2),x)","-\frac{\sqrt{\pi}\, \sqrt{x}\, \sqrt{2}\, \sqrt{i f}\, \left(-\frac{\left(i f \right)^{\frac{3}{2}} \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{2 f^{\frac{3}{2}}}+\frac{\left(i f \right)^{\frac{3}{2}} \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{2 f^{\frac{3}{2}}}\right)}{2 \sqrt{d x}\, f}"," ",0,"-1/2*Pi^(1/2)/(d*x)^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(1/2)/f*(-1/2*(I*f)^(3/2)*2^(1/2)/f^(3/2)*erf(x^(1/2)*f^(1/2))+1/2*(I*f)^(3/2)*2^(1/2)/f^(3/2)*erfi(x^(1/2)*f^(1/2)))","C"
63,1,120,61,0.029000," ","int(sinh(f*x)/(d*x)^(3/2),x)","-\frac{\sqrt{\pi}\, x^{\frac{3}{2}} \sqrt{2}\, \left(i f \right)^{\frac{3}{2}} \left(\frac{2 \sqrt{2}\, \sqrt{i f}\, {\mathrm e}^{-f x}}{\sqrt{\pi}\, \sqrt{x}\, f}-\frac{2 \sqrt{2}\, \sqrt{i f}\, {\mathrm e}^{f x}}{\sqrt{\pi}\, \sqrt{x}\, f}+\frac{2 \sqrt{i f}\, \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{\sqrt{f}}+\frac{2 \sqrt{i f}\, \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{\sqrt{f}}\right)}{4 \left(d x \right)^{\frac{3}{2}} f}"," ",0,"-1/4*Pi^(1/2)/(d*x)^(3/2)*x^(3/2)*2^(1/2)*(I*f)^(3/2)/f*(2/Pi^(1/2)/x^(1/2)*2^(1/2)*(I*f)^(1/2)/f*exp(-f*x)-2/Pi^(1/2)/x^(1/2)*2^(1/2)*(I*f)^(1/2)/f*exp(f*x)+2*(I*f)^(1/2)*2^(1/2)/f^(1/2)*erf(x^(1/2)*f^(1/2))+2*(I*f)^(1/2)*2^(1/2)/f^(1/2)*erfi(x^(1/2)*f^(1/2)))","C"
64,1,132,78,0.032000," ","int(sinh(f*x)/(d*x)^(5/2),x)","-\frac{\sqrt{\pi}\, x^{\frac{5}{2}} \sqrt{2}\, \left(i f \right)^{\frac{5}{2}} \left(-\frac{4 \sqrt{2}\, \left(2 f x +1\right) {\mathrm e}^{f x}}{3 \sqrt{\pi}\, x^{\frac{3}{2}} \sqrt{i f}\, f}+\frac{4 \sqrt{2}\, \left(-2 f x +1\right) {\mathrm e}^{-f x}}{3 \sqrt{\pi}\, x^{\frac{3}{2}} \sqrt{i f}\, f}-\frac{8 \sqrt{2}\, \sqrt{f}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{3 \sqrt{i f}}+\frac{8 \sqrt{2}\, \sqrt{f}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{3 \sqrt{i f}}\right)}{8 \left(d x \right)^{\frac{5}{2}} f}"," ",0,"-1/8*Pi^(1/2)/(d*x)^(5/2)*x^(5/2)*2^(1/2)*(I*f)^(5/2)/f*(-4/3/Pi^(1/2)/x^(3/2)*2^(1/2)/(I*f)^(1/2)*(2*f*x+1)/f*exp(f*x)+4/3/Pi^(1/2)/x^(3/2)*2^(1/2)/(I*f)^(1/2)*(-2*f*x+1)/f*exp(-f*x)-8/3/(I*f)^(1/2)*2^(1/2)*f^(1/2)*erf(x^(1/2)*f^(1/2))+8/3/(I*f)^(1/2)*2^(1/2)*f^(1/2)*erfi(x^(1/2)*f^(1/2)))","C"
65,0,0,16,0.084000," ","int(csch(b*x+a)*(d*x+c)^(1/2),x)","\int \mathrm{csch}\left(b x +a \right) \sqrt{d x +c}\, dx"," ",0,"int(csch(b*x+a)*(d*x+c)^(1/2),x)","F"
66,0,0,16,0.093000," ","int(csch(b*x+a)/(d*x+c)^(1/2),x)","\int \frac{\mathrm{csch}\left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(csch(b*x+a)/(d*x+c)^(1/2),x)","F"
67,-2,0,45,180.000000," ","int(sinh(x)^(3/2)/x^3,x)","\int \frac{\sinh^{\frac{3}{2}}\left(x \right)}{x^{3}}\, dx"," ",0,"int(sinh(x)^(3/2)/x^3,x)","F"
68,-2,0,16,180.000000," ","int(x/sinh(x)^(3/2)-x*sinh(x)^(1/2),x)","\int \frac{x}{\sinh \left(x \right)^{\frac{3}{2}}}-x \left(\sqrt{\sinh}\left(x \right)\right)\, dx"," ",0,"int(x/sinh(x)^(3/2)-x*sinh(x)^(1/2),x)","F"
69,0,0,16,0.122000," ","int(x/sinh(x)^(5/2)+1/3*x/sinh(x)^(1/2),x)","\int \frac{x}{\sinh \left(x \right)^{\frac{5}{2}}}+\frac{x}{3 \sqrt{\sinh \left(x \right)}}\, dx"," ",0,"int(x/sinh(x)^(5/2)+1/3*x/sinh(x)^(1/2),x)","F"
70,-2,0,31,180.000000," ","int(x/sinh(x)^(7/2)+3/5*x*sinh(x)^(1/2),x)","\int \frac{x}{\sinh \left(x \right)^{\frac{7}{2}}}+\frac{3 x \left(\sqrt{\sinh}\left(x \right)\right)}{5}\, dx"," ",0,"int(x/sinh(x)^(7/2)+3/5*x*sinh(x)^(1/2),x)","F"
71,-2,0,70,180.000000," ","int(x^2/sinh(x)^(3/2)-x^2*sinh(x)^(1/2),x)","\int \frac{x^{2}}{\sinh \left(x \right)^{\frac{3}{2}}}-x^{2} \left(\sqrt{\sinh}\left(x \right)\right)\, dx"," ",0,"int(x^2/sinh(x)^(3/2)-x^2*sinh(x)^(1/2),x)","F"
72,0,0,20,0.084000," ","int((d*x+c)^m*(b*sinh(f*x+e))^n,x)","\int \left(d x +c \right)^{m} \left(b \sinh \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((d*x+c)^m*(b*sinh(f*x+e))^n,x)","F"
73,0,0,225,0.150000," ","int((d*x+c)^m*sinh(b*x+a)^3,x)","\int \left(d x +c \right)^{m} \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^m*sinh(b*x+a)^3,x)","F"
74,0,0,140,0.115000," ","int((d*x+c)^m*sinh(b*x+a)^2,x)","\int \left(d x +c \right)^{m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^m*sinh(b*x+a)^2,x)","F"
75,0,0,104,0.087000," ","int((d*x+c)^m*sinh(b*x+a),x)","\int \left(d x +c \right)^{m} \sinh \left(b x +a \right)\, dx"," ",0,"int((d*x+c)^m*sinh(b*x+a),x)","F"
76,0,0,16,0.086000," ","int((d*x+c)^m*csch(b*x+a),x)","\int \left(d x +c \right)^{m} \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int((d*x+c)^m*csch(b*x+a),x)","F"
77,0,0,18,0.085000," ","int((d*x+c)^m*csch(b*x+a)^2,x)","\int \left(d x +c \right)^{m} \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int((d*x+c)^m*csch(b*x+a)^2,x)","F"
78,1,73,53,0.059000," ","int(x^(3+m)*sinh(b*x+a),x)","\frac{x^{4+m} \hypergeom \left(\left[2+\frac{m}{2}\right], \left[\frac{1}{2}, 3+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{4+m}+\frac{b \,x^{5+m} \hypergeom \left(\left[\frac{5}{2}+\frac{m}{2}\right], \left[\frac{3}{2}, \frac{7}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{5+m}"," ",0,"1/(4+m)*x^(4+m)*hypergeom([2+1/2*m],[1/2,3+1/2*m],1/4*x^2*b^2)*sinh(a)+b/(5+m)*x^(5+m)*hypergeom([5/2+1/2*m],[3/2,7/2+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
79,1,73,53,0.072000," ","int(x^(2+m)*sinh(b*x+a),x)","\frac{x^{3+m} \hypergeom \left(\left[\frac{3}{2}+\frac{m}{2}\right], \left[\frac{1}{2}, \frac{5}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{3+m}+\frac{b \,x^{4+m} \hypergeom \left(\left[2+\frac{m}{2}\right], \left[\frac{3}{2}, 3+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{4+m}"," ",0,"1/(3+m)*x^(3+m)*hypergeom([3/2+1/2*m],[1/2,5/2+1/2*m],1/4*x^2*b^2)*sinh(a)+b/(4+m)*x^(4+m)*hypergeom([2+1/2*m],[3/2,3+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
80,1,73,53,0.060000," ","int(x^(1+m)*sinh(b*x+a),x)","\frac{x^{2+m} \hypergeom \left(\left[1+\frac{m}{2}\right], \left[\frac{1}{2}, 2+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{2+m}+\frac{b \,x^{3+m} \hypergeom \left(\left[\frac{3}{2}+\frac{m}{2}\right], \left[\frac{3}{2}, \frac{5}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{3+m}"," ",0,"1/(2+m)*x^(2+m)*hypergeom([1+1/2*m],[1/2,2+1/2*m],1/4*x^2*b^2)*sinh(a)+b/(3+m)*x^(3+m)*hypergeom([3/2+1/2*m],[3/2,5/2+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
81,1,73,53,0.060000," ","int(x^m*sinh(b*x+a),x)","\frac{x^{1+m} \hypergeom \left(\left[\frac{1}{2}+\frac{m}{2}\right], \left[\frac{1}{2}, \frac{3}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{1+m}+\frac{b \,x^{2+m} \hypergeom \left(\left[1+\frac{m}{2}\right], \left[\frac{3}{2}, 2+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{2+m}"," ",0,"1/(1+m)*x^(1+m)*hypergeom([1/2+1/2*m],[1/2,3/2+1/2*m],1/4*x^2*b^2)*sinh(a)+b/(2+m)*x^(2+m)*hypergeom([1+1/2*m],[3/2,2+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
82,1,67,43,0.065000," ","int(x^(-1+m)*sinh(b*x+a),x)","\frac{x^{m} \hypergeom \left(\left[\frac{m}{2}\right], \left[\frac{1}{2}, 1+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{m}+\frac{b \,x^{1+m} \hypergeom \left(\left[\frac{1}{2}+\frac{m}{2}\right], \left[\frac{3}{2}, \frac{3}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{1+m}"," ",0,"1/m*x^m*hypergeom([1/2*m],[1/2,1+1/2*m],1/4*x^2*b^2)*sinh(a)+b/(1+m)*x^(1+m)*hypergeom([1/2+1/2*m],[3/2,3/2+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
83,1,67,49,0.067000," ","int(x^(-2+m)*sinh(b*x+a),x)","\frac{x^{-1+m} \hypergeom \left(\left[-\frac{1}{2}+\frac{m}{2}\right], \left[\frac{1}{2}, \frac{1}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{-1+m}+\frac{b \,x^{m} \hypergeom \left(\left[\frac{m}{2}\right], \left[\frac{3}{2}, 1+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{m}"," ",0,"1/(-1+m)*x^(-1+m)*hypergeom([-1/2+1/2*m],[1/2,1/2+1/2*m],1/4*x^2*b^2)*sinh(a)+b/m*x^m*hypergeom([1/2*m],[3/2,1+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
84,1,71,53,0.046000," ","int(x^(-3+m)*sinh(b*x+a),x)","\frac{x^{-2+m} \hypergeom \left(\left[-1+\frac{m}{2}\right], \left[\frac{1}{2}, \frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \sinh \left(a \right)}{-2+m}+\frac{b \,x^{-1+m} \hypergeom \left(\left[-\frac{1}{2}+\frac{m}{2}\right], \left[\frac{3}{2}, \frac{1}{2}+\frac{m}{2}\right], \frac{x^{2} b^{2}}{4}\right) \cosh \left(a \right)}{-1+m}"," ",0,"1/(-2+m)*x^(-2+m)*hypergeom([-1+1/2*m],[1/2,1/2*m],1/4*x^2*b^2)*sinh(a)+b/(-1+m)*x^(-1+m)*hypergeom([-1/2+1/2*m],[3/2,1/2+1/2*m],1/4*x^2*b^2)*cosh(a)","C"
85,0,0,84,0.092000," ","int(x^(3+m)*sinh(b*x+a)^2,x)","\int x^{3+m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(3+m)*sinh(b*x+a)^2,x)","F"
86,0,0,83,0.080000," ","int(x^(2+m)*sinh(b*x+a)^2,x)","\int x^{2+m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(2+m)*sinh(b*x+a)^2,x)","F"
87,0,0,84,0.131000," ","int(x^(1+m)*sinh(b*x+a)^2,x)","\int x^{1+m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(1+m)*sinh(b*x+a)^2,x)","F"
88,0,0,83,0.087000," ","int(x^m*sinh(b*x+a)^2,x)","\int x^{m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sinh(b*x+a)^2,x)","F"
89,0,0,70,0.118000," ","int(x^(-1+m)*sinh(b*x+a)^2,x)","\int x^{-1+m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(-1+m)*sinh(b*x+a)^2,x)","F"
90,0,0,81,0.090000," ","int(x^(-2+m)*sinh(b*x+a)^2,x)","\int x^{-2+m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(-2+m)*sinh(b*x+a)^2,x)","F"
91,0,0,82,0.086000," ","int(x^(-3+m)*sinh(b*x+a)^2,x)","\int x^{-3+m} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(-3+m)*sinh(b*x+a)^2,x)","F"
92,0,0,16,0.145000," ","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"
93,0,0,16,0.153000," ","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"
94,0,0,31,0.169000," ","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"
95,0,0,78,0.151000," ","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"
96,1,494,92,0.024000," ","int((d*x+c)^3*(a+I*a*sinh(f*x+e)),x)","\frac{\frac{d^{3} a \left(f x +e \right)^{4}}{4 f^{3}}-\frac{3 i d e \,c^{2} a \cosh \left(f x +e \right)}{f}-\frac{d^{3} e a \left(f x +e \right)^{3}}{f^{3}}+\frac{3 i d \,c^{2} a \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}+\frac{d^{2} c a \left(f x +e \right)^{3}}{f^{2}}+i c^{3} a \cosh \left(f x +e \right)+\frac{3 d^{3} e^{2} a \left(f x +e \right)^{2}}{2 f^{3}}+\frac{3 i d^{3} e^{2} a \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{3}}-\frac{3 d^{2} e c a \left(f x +e \right)^{2}}{f^{2}}+\frac{i d^{3} a \left(\left(f x +e \right)^{3} \cosh \left(f x +e \right)-3 \left(f x +e \right)^{2} \sinh \left(f x +e \right)+6 \left(f x +e \right) \cosh \left(f x +e \right)-6 \sinh \left(f x +e \right)\right)}{f^{3}}+\frac{3 d \,c^{2} a \left(f x +e \right)^{2}}{2 f}-\frac{3 i d^{3} e a \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{3}}-\frac{d^{3} e^{3} a \left(f x +e \right)}{f^{3}}+\frac{3 i d^{2} c a \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}+\frac{3 d^{2} e^{2} c a \left(f x +e \right)}{f^{2}}-\frac{6 i d^{2} e c a \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}-\frac{3 d e \,c^{2} a \left(f x +e \right)}{f}-\frac{i d^{3} e^{3} a \cosh \left(f x +e \right)}{f^{3}}+c^{3} a \left(f x +e \right)+\frac{3 i d^{2} e^{2} c a \cosh \left(f x +e \right)}{f^{2}}}{f}"," ",0,"1/f*(1/4/f^3*d^3*a*(f*x+e)^4-3*I*d*e/f*c^2*a*cosh(f*x+e)-1/f^3*d^3*e*a*(f*x+e)^3+3*I/f*d*c^2*a*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+1/f^2*d^2*c*a*(f*x+e)^3+I*c^3*a*cosh(f*x+e)+3/2/f^3*d^3*e^2*a*(f*x+e)^2+3*I/f^3*d^3*e^2*a*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-3/f^2*d^2*e*c*a*(f*x+e)^2+I/f^3*d^3*a*((f*x+e)^3*cosh(f*x+e)-3*(f*x+e)^2*sinh(f*x+e)+6*(f*x+e)*cosh(f*x+e)-6*sinh(f*x+e))+3/2/f*d*c^2*a*(f*x+e)^2-3*I/f^3*d^3*e*a*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))-d^3*e^3/f^3*a*(f*x+e)+3*I/f^2*d^2*c*a*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+3*d^2*e^2/f^2*c*a*(f*x+e)-6*I/f^2*d^2*e*c*a*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-3*d*e/f*c^2*a*(f*x+e)-I*d^3*e^3/f^3*a*cosh(f*x+e)+c^3*a*(f*x+e)+3*I*d^2*e^2/f^2*c*a*cosh(f*x+e))","B"
97,1,249,69,0.021000," ","int((d*x+c)^2*(a+I*a*sinh(f*x+e)),x)","\frac{\frac{d^{2} a \left(f x +e \right)^{3}}{3 f^{2}}+\frac{i d^{2} a \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}-\frac{d^{2} e a \left(f x +e \right)^{2}}{f^{2}}-\frac{2 i d^{2} e a \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}+\frac{d c a \left(f x +e \right)^{2}}{f}+\frac{2 i d c a \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}+\frac{d^{2} e^{2} a \left(f x +e \right)}{f^{2}}+\frac{i d^{2} e^{2} a \cosh \left(f x +e \right)}{f^{2}}-\frac{2 d e c a \left(f x +e \right)}{f}-\frac{2 i d e c a \cosh \left(f x +e \right)}{f}+c^{2} a \left(f x +e \right)+i c^{2} a \cosh \left(f x +e \right)}{f}"," ",0,"1/f*(1/3/f^2*d^2*a*(f*x+e)^3+I/f^2*d^2*a*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))-1/f^2*d^2*e*a*(f*x+e)^2-2*I/f^2*d^2*e*a*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+1/f*d*c*a*(f*x+e)^2+2*I/f*d*c*a*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+d^2*e^2/f^2*a*(f*x+e)+I*d^2*e^2/f^2*a*cosh(f*x+e)-2*d*e/f*c*a*(f*x+e)-2*I*d*e/f*c*a*cosh(f*x+e)+c^2*a*(f*x+e)+I*c^2*a*cosh(f*x+e))","B"
98,1,96,46,0.022000," ","int((d*x+c)*(a+I*a*sinh(f*x+e)),x)","\frac{\frac{d a \left(f x +e \right)^{2}}{2 f}+\frac{i d a \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}-\frac{d e a \left(f x +e \right)}{f}-\frac{i d e a \cosh \left(f x +e \right)}{f}+c a \left(f x +e \right)+i c a \cosh \left(f x +e \right)}{f}"," ",0,"1/f*(1/2/f*d*a*(f*x+e)^2+I/f*d*a*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-d*e/f*a*(f*x+e)-I*d*e/f*a*cosh(f*x+e)+c*a*(f*x+e)+I*c*a*cosh(f*x+e))","B"
99,1,96,70,0.085000," ","int((a+I*a*sinh(f*x+e))/(d*x+c),x)","\frac{a \ln \left(d x +c \right)}{d}+\frac{i a \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{2 d}-\frac{i a \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{2 d}"," ",0,"a*ln(d*x+c)/d+1/2*I*a/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*I*a/d*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","A"
100,1,153,94,0.100000," ","int((a+I*a*sinh(f*x+e))/(d*x+c)^2,x)","-\frac{a}{d \left(d x +c \right)}+\frac{i a f \,{\mathrm e}^{-f x -e}}{2 d \left(d f x +c f \right)}-\frac{i a f \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{2 d^{2}}-\frac{i a f \,{\mathrm e}^{f x +e}}{2 d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{i a f \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{2 d^{2}}"," ",0,"-a/d/(d*x+c)+1/2*I*a*f*exp(-f*x-e)/d/(d*f*x+c*f)-1/2*I*a*f/d^2*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*I*a*f/d^2*exp(f*x+e)/(c*f/d+f*x)-1/2*I*a*f/d^2*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","A"
101,1,303,119,0.096000," ","int((a+I*a*sinh(f*x+e))/(d*x+c)^3,x)","-\frac{a}{2 d \left(d x +c \right)^{2}}-\frac{i a \,f^{3} {\mathrm e}^{-f x -e} x}{4 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{i a \,f^{3} {\mathrm e}^{-f x -e} c}{4 d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{i a \,f^{2} {\mathrm e}^{-f x -e}}{4 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{i a \,f^{2} {\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{4 d^{3}}-\frac{i a \,f^{2} {\mathrm e}^{f x +e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{i a \,f^{2} {\mathrm e}^{f x +e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{i a \,f^{2} {\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{4 d^{3}}"," ",0,"-1/2*a/d/(d*x+c)^2-1/4*I*a*f^3*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x-1/4*I*a*f^3*exp(-f*x-e)/d^2/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*c+1/4*I*a*f^2*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)+1/4*I*a*f^2/d^3*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/4*I*a*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)^2-1/4*I*a*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)-1/4*I*a*f^2/d^3*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","B"
102,1,1082,227,0.032000," ","int((d*x+c)^3*(a+I*a*sinh(f*x+e))^2,x)","\frac{\frac{3 c \,d^{2} e^{2} a^{2} \left(f x +e \right)}{f^{2}}-\frac{6 i c^{2} d e \,a^{2} \cosh \left(f x +e \right)}{f}-\frac{12 i c \,d^{2} e \,a^{2} \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}+\frac{6 i c \,d^{2} e^{2} a^{2} \cosh \left(f x +e \right)}{f^{2}}+\frac{6 c \,d^{2} e \,a^{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)}{f^{2}}-\frac{3 c^{2} d e \,a^{2} \left(f x +e \right)}{f}+\frac{3 c^{2} d e \,a^{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}-\frac{3 c \,d^{2} e \,a^{2} \left(f x +e \right)^{2}}{f^{2}}-\frac{3 c \,d^{2} e^{2} a^{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^{2}}+\frac{6 i d^{3} e^{2} a^{2} \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{3}}+\frac{6 i c \,d^{2} a^{2} \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}+\frac{6 i c^{2} d \,a^{2} \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}-\frac{6 i d^{3} e \,a^{2} \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{3}}-\frac{2 i d^{3} e^{3} a^{2} \cosh \left(f x +e \right)}{f^{3}}+2 i c^{3} a^{2} \cosh \left(f x +e \right)-\frac{d^{3} a^{2} \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)}{f^{3}}+\frac{d^{3} a^{2} \left(f x +e \right)^{4}}{4 f^{3}}+\frac{c \,d^{2} a^{2} \left(f x +e \right)^{3}}{f^{2}}-\frac{d^{3} e^{3} a^{2} \left(f x +e \right)}{f^{3}}-\frac{d^{3} e \,a^{2} \left(f x +e \right)^{3}}{f^{3}}+\frac{3 c^{2} d \,a^{2} \left(f x +e \right)^{2}}{2 f}+\frac{d^{3} e^{3} a^{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}}+\frac{3 d^{3} e^{2} a^{2} \left(f x +e \right)^{2}}{2 f^{3}}+\frac{2 i d^{3} a^{2} \left(\left(f x +e \right)^{3} \cosh \left(f x +e \right)-3 \left(f x +e \right)^{2} \sinh \left(f x +e \right)+6 \left(f x +e \right) \cosh \left(f x +e \right)-6 \sinh \left(f x +e \right)\right)}{f^{3}}+c^{3} a^{2} \left(f x +e \right)-c^{3} a^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}-\frac{f x}{2}-\frac{e}{2}\right)+\frac{3 d^{3} e \,a^{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)}{f^{3}}-\frac{3 d^{3} e^{2} a^{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)}{f^{3}}-\frac{3 c \,d^{2} a^{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)}{f^{2}}-\frac{3 c^{2} d \,a^{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)}{f}}{f}"," ",0,"1/f*(3/f^2*c*d^2*e^2*a^2*(f*x+e)-6*I/f*c^2*d*e*a^2*cosh(f*x+e)-12*I/f^2*c*d^2*e*a^2*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+6*I/f^2*c*d^2*e^2*a^2*cosh(f*x+e)-3/f*c^2*d*e*a^2*(f*x+e)+6*I/f^3*d^3*e^2*a^2*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+6*I/f^2*c*d^2*a^2*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+6*I/f*c^2*d*a^2*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+6/f^2*c*d^2*e*a^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*I/f^3*d^3*e*a^2*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+3/f*c^2*d*e*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)-2*I/f^3*d^3*e^3*a^2*cosh(f*x+e)-3/f^2*c*d^2*e*a^2*(f*x+e)^2-3/f^2*c*d^2*e^2*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+2*I*c^3*a^2*cosh(f*x+e)+1/4/f^3*d^3*a^2*(f*x+e)^4-1/f^3*d^3*a^2*(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)+1/f^2*c*d^2*a^2*(f*x+e)^3+2*I/f^3*d^3*a^2*((f*x+e)^3*cosh(f*x+e)-3*(f*x+e)^2*sinh(f*x+e)+6*(f*x+e)*cosh(f*x+e)-6*sinh(f*x+e))+3/f^3*d^3*e*a^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)-3/f^3*d^3*e^2*a^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)-1/f^3*d^3*e^3*a^2*(f*x+e)-1/f^3*d^3*e*a^2*(f*x+e)^3+3/2/f*c^2*d*a^2*(f*x+e)^2-3/f^2*c*d^2*a^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)-3/f*c^2*d*a^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)+1/f^3*d^3*e^3*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+3/2/f^3*d^3*e^2*a^2*(f*x+e)^2+c^3*a^2*(f*x+e)-c^3*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e))","B"
103,1,550,161,0.029000," ","int((d*x+c)^2*(a+I*a*sinh(f*x+e))^2,x)","\frac{\frac{d^{2} a^{2} \left(f x +e \right)^{3}}{3 f^{2}}+\frac{2 i d^{2} e^{2} a^{2} \cosh \left(f x +e \right)}{f^{2}}-\frac{d^{2} a^{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)}{f^{2}}-\frac{d^{2} e \,a^{2} \left(f x +e \right)^{2}}{f^{2}}+\frac{2 i d^{2} a^{2} \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}+\frac{2 d^{2} e \,a^{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)}{f^{2}}+\frac{d^{2} e^{2} a^{2} \left(f x +e \right)}{f^{2}}-\frac{4 i d^{2} e \,a^{2} \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}-\frac{d^{2} e^{2} a^{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^{2}}+\frac{c d \,a^{2} \left(f x +e \right)^{2}}{f}-\frac{4 i c d e \,a^{2} \cosh \left(f x +e \right)}{f}-\frac{2 c d \,a^{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)}{f}-\frac{2 c d e \,a^{2} \left(f x +e \right)}{f}+\frac{4 i c d \,a^{2} \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}+\frac{2 c d e \,a^{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}+c^{2} a^{2} \left(f x +e \right)+2 i c^{2} a^{2} \cosh \left(f x +e \right)-c^{2} a^{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}"," ",0,"1/f*(1/3/f^2*d^2*a^2*(f*x+e)^3+2*I/f^2*d^2*e^2*a^2*cosh(f*x+e)-1/f^2*d^2*a^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)-1/f^2*d^2*e*a^2*(f*x+e)^2+2*I/f^2*d^2*a^2*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+2/f^2*d^2*e*a^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)+1/f^2*d^2*e^2*a^2*(f*x+e)-4*I/f^2*d^2*e*a^2*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-1/f^2*d^2*e^2*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+1/f*c*d*a^2*(f*x+e)^2-4*I/f*c*d*e*a^2*cosh(f*x+e)-2/f*c*d*a^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/f*c*d*e*a^2*(f*x+e)+4*I/f*c*d*a^2*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+2/f*c*d*e*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+c^2*a^2*(f*x+e)+2*I*c^2*a^2*cosh(f*x+e)-c^2*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e))","B"
104,1,215,110,0.029000," ","int((d*x+c)*(a+I*a*sinh(f*x+e))^2,x)","\frac{\frac{d \,a^{2} \left(f x +e \right)^{2}}{2 f}+\frac{2 i d \,a^{2} \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}-\frac{d \,a^{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)}{f}-\frac{d e \,a^{2} \left(f x +e \right)}{f}-\frac{2 i d e \,a^{2} \cosh \left(f x +e \right)}{f}+\frac{d e \,a^{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}+c \,a^{2} \left(f x +e \right)+2 i c \,a^{2} \cosh \left(f x +e \right)-c \,a^{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}"," ",0,"1/f*(1/2/f*d*a^2*(f*x+e)^2+2*I/f*d*a^2*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-1/f*d*a^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)-d*e/f*a^2*(f*x+e)-2*I*d*e/f*a^2*cosh(f*x+e)+d*e/f*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+c*a^2*(f*x+e)+2*I*c*a^2*cosh(f*x+e)-c*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e))","A"
105,1,193,143,0.220000," ","int((a+I*a*sinh(f*x+e))^2/(d*x+c),x)","-\frac{i a^{2} {\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{d}+\frac{3 a^{2} \ln \left(d x +c \right)}{2 d}+\frac{a^{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)}{4 d}+\frac{a^{2} {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{d}} \Ei \left(1, -2 f x -2 e -\frac{2 \left(c f -d e \right)}{d}\right)}{4 d}+\frac{i a^{2} {\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{d}"," ",0,"-I*a^2/d*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)+3/2*a^2*ln(d*x+c)/d+1/4*a^2/d*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)+1/4*a^2/d*exp(-2*(c*f-d*e)/d)*Ei(1,-2*f*x-2*e-2*(c*f-d*e)/d)+I*a^2/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)","A"
106,1,313,162,0.239000," ","int((a+I*a*sinh(f*x+e))^2/(d*x+c)^2,x)","-\frac{i a^{2} f \,{\mathrm e}^{f x +e}}{d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{i a^{2} f \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{d^{2}}-\frac{3 a^{2}}{2 d \left(d x +c \right)}+\frac{f \,a^{2} {\mathrm e}^{-2 f x -2 e}}{4 d \left(d f x +c f \right)}-\frac{f \,a^{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)}{2 d^{2}}+\frac{f \,a^{2} {\mathrm e}^{2 f x +2 e}}{4 d^{2} \left(\frac{c f}{d}+f x \right)}+\frac{f \,a^{2} {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{d}} \Ei \left(1, -2 f x -2 e -\frac{2 \left(c f -d e \right)}{d}\right)}{2 d^{2}}+\frac{i a^{2} f \,{\mathrm e}^{-f x -e}}{d \left(d f x +c f \right)}-\frac{i a^{2} f \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{d^{2}}"," ",0,"-I*a^2*f/d^2*exp(f*x+e)/(c*f/d+f*x)-I*a^2*f/d^2*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)-3/2*a^2/d/(d*x+c)+1/4*f*a^2*exp(-2*f*x-2*e)/d/(d*f*x+c*f)-1/2*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)+1/4*f*a^2/d^2*exp(2*f*x+2*e)/(c*f/d+f*x)+1/2*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)+I*a^2*f*exp(-f*x-e)/d/(d*f*x+c*f)-I*a^2*f/d^2*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)","A"
107,1,625,214,0.252000," ","int((a+I*a*sinh(f*x+e))^2/(d*x+c)^3,x)","-\frac{i a^{2} f^{2} {\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{i a^{2} f^{2} {\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{i a^{2} f^{2} {\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{2 d^{3}}-\frac{3 a^{2}}{4 d \left(d x +c \right)^{2}}-\frac{f^{3} a^{2} {\mathrm e}^{-2 f x -2 e} x}{4 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{3} a^{2} {\mathrm e}^{-2 f x -2 e} c}{4 d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{2} a^{2} {\mathrm e}^{-2 f x -2 e}}{8 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{2} a^{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)}{2 d^{3}}+\frac{f^{2} a^{2} {\mathrm e}^{2 f x +2 e}}{8 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}+\frac{f^{2} a^{2} {\mathrm e}^{2 f x +2 e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)}+\frac{f^{2} a^{2} {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{d}} \Ei \left(1, -2 f x -2 e -\frac{2 \left(c f -d e \right)}{d}\right)}{2 d^{3}}-\frac{i a^{2} f^{3} {\mathrm e}^{-f x -e} x}{2 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{i a^{2} f^{3} {\mathrm e}^{-f x -e} c}{2 d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{i a^{2} f^{2} {\mathrm e}^{-f x -e}}{2 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{i a^{2} f^{2} {\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{2 d^{3}}"," ",0,"-1/2*I*a^2*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)^2-1/2*I*a^2*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)-1/2*I*a^2*f^2/d^3*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)-3/4*a^2/d/(d*x+c)^2-1/4*f^3*a^2*exp(-2*f*x-2*e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x-1/4*f^3*a^2*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+1/8*f^2*a^2*exp(-2*f*x-2*e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)+1/2*f^2*a^2/d^3*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)+1/8*f^2*a^2/d^3*exp(2*f*x+2*e)/(c*f/d+f*x)^2+1/4*f^2*a^2/d^3*exp(2*f*x+2*e)/(c*f/d+f*x)+1/2*f^2*a^2/d^3*exp(-2*(c*f-d*e)/d)*Ei(1,-2*f*x-2*e-2*(c*f-d*e)/d)-1/2*I*a^2*f^3*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x-1/2*I*a^2*f^3*exp(-f*x-e)/d^2/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*c+1/2*I*a^2*f^2*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)+1/2*I*a^2*f^2/d^3*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)","B"
108,1,435,119,0.168000," ","int((d*x+c)^3/(a+I*a*sinh(f*x+e)),x)","\frac{2 i \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right)}{f a \left({\mathrm e}^{f x +e}-i\right)}-\frac{4 d^{3} e^{3}}{a \,f^{4}}-\frac{6 d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}-i\right)}{a \,f^{4}}+\frac{2 d^{3} x^{3}}{a f}-\frac{6 d^{3} \ln \left(1+i {\mathrm e}^{f x +e}\right) x^{2}}{a \,f^{2}}+\frac{6 d^{3} \ln \left(1+i {\mathrm e}^{f x +e}\right) e^{2}}{a \,f^{4}}-\frac{6 d \ln \left({\mathrm e}^{f x +e}-i\right) c^{2}}{a \,f^{2}}+\frac{12 d^{2} c e x}{a \,f^{2}}-\frac{12 d^{2} c \ln \left(1+i {\mathrm e}^{f x +e}\right) x}{a \,f^{2}}-\frac{12 d^{2} c \ln \left(1+i {\mathrm e}^{f x +e}\right) e}{a \,f^{3}}-\frac{12 d^{2} c e \ln \left({\mathrm e}^{f x +e}\right)}{a \,f^{3}}+\frac{6 d \ln \left({\mathrm e}^{f x +e}\right) c^{2}}{a \,f^{2}}+\frac{6 d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{a \,f^{4}}-\frac{12 d^{3} \polylog \left(2, -i {\mathrm e}^{f x +e}\right) x}{a \,f^{3}}+\frac{12 d^{2} c e \ln \left({\mathrm e}^{f x +e}-i\right)}{a \,f^{3}}+\frac{6 d^{2} c \,e^{2}}{a \,f^{3}}-\frac{12 d^{2} c \polylog \left(2, -i {\mathrm e}^{f x +e}\right)}{a \,f^{3}}+\frac{6 d^{2} c \,x^{2}}{a f}-\frac{6 d^{3} e^{2} x}{a \,f^{3}}+\frac{12 d^{3} \polylog \left(3, -i {\mathrm e}^{f x +e}\right)}{a \,f^{4}}"," ",0,"2*I*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/f/a/(exp(f*x+e)-I)-4/a/f^4*d^3*e^3-6/a/f^4*d^3*e^2*ln(exp(f*x+e)-I)+2/a/f*d^3*x^3-6/a/f^2*d^3*ln(1+I*exp(f*x+e))*x^2+6/a/f^4*d^3*ln(1+I*exp(f*x+e))*e^2-6/a/f^2*d*ln(exp(f*x+e)-I)*c^2+12/a/f^2*d^2*c*e*x-12/a/f^2*d^2*c*ln(1+I*exp(f*x+e))*x-12/a/f^3*d^2*c*ln(1+I*exp(f*x+e))*e-12/a/f^3*d^2*c*e*ln(exp(f*x+e))+6/a/f^2*d*ln(exp(f*x+e))*c^2+6/a/f^4*d^3*e^2*ln(exp(f*x+e))-12/a/f^3*d^3*polylog(2,-I*exp(f*x+e))*x+12/a/f^3*d^2*c*e*ln(exp(f*x+e)-I)+6/a/f^3*d^2*c*e^2-12/a/f^3*d^2*c*polylog(2,-I*exp(f*x+e))+6/a/f*d^2*c*x^2-6/a/f^3*d^3*e^2*x+12*d^3*polylog(3,-I*exp(f*x+e))/a/f^4","B"
109,1,227,90,0.100000," ","int((d*x+c)^2/(a+I*a*sinh(f*x+e)),x)","\frac{2 i \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{f a \left({\mathrm e}^{f x +e}-i\right)}-\frac{4 d \ln \left({\mathrm e}^{f x +e}-i\right) c}{a \,f^{2}}+\frac{4 d \ln \left({\mathrm e}^{f x +e}\right) c}{a \,f^{2}}+\frac{2 d^{2} x^{2}}{a f}+\frac{4 d^{2} e x}{a \,f^{2}}+\frac{2 d^{2} e^{2}}{a \,f^{3}}-\frac{4 d^{2} \ln \left(1+i {\mathrm e}^{f x +e}\right) x}{a \,f^{2}}-\frac{4 d^{2} \ln \left(1+i {\mathrm e}^{f x +e}\right) e}{a \,f^{3}}-\frac{4 d^{2} \polylog \left(2, -i {\mathrm e}^{f x +e}\right)}{a \,f^{3}}+\frac{4 d^{2} e \ln \left({\mathrm e}^{f x +e}-i\right)}{a \,f^{3}}-\frac{4 d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{a \,f^{3}}"," ",0,"2*I*(d^2*x^2+2*c*d*x+c^2)/f/a/(exp(f*x+e)-I)-4/a/f^2*d*ln(exp(f*x+e)-I)*c+4/a/f^2*d*ln(exp(f*x+e))*c+2/a/f*d^2*x^2+4/a/f^2*d^2*e*x+2/a/f^3*d^2*e^2-4/a/f^2*d^2*ln(1+I*exp(f*x+e))*x-4/a/f^3*d^2*ln(1+I*exp(f*x+e))*e-4*d^2*polylog(2,-I*exp(f*x+e))/a/f^3+4/a/f^3*d^2*e*ln(exp(f*x+e)-I)-4/a/f^3*d^2*e*ln(exp(f*x+e))","B"
110,1,66,49,0.099000," ","int((d*x+c)/(a+I*a*sinh(f*x+e)),x)","\frac{2 d x}{a f}+\frac{2 d e}{a \,f^{2}}+\frac{2 i \left(d x +c \right)}{f a \left({\mathrm e}^{f x +e}-i\right)}-\frac{2 d \ln \left({\mathrm e}^{f x +e}-i\right)}{a \,f^{2}}"," ",0,"2*d/a/f*x+2*d/a/f^2*e+2*I*(d*x+c)/f/a/(exp(f*x+e)-I)-2*d/a/f^2*ln(exp(f*x+e)-I)","A"
111,0,0,24,0.129000," ","int(1/(d*x+c)/(a+I*a*sinh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right) \left(a +i a \sinh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)/(a+I*a*sinh(f*x+e)),x)","F"
112,0,0,24,0.201000," ","int(1/(d*x+c)^2/(a+I*a*sinh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +i a \sinh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)^2/(a+I*a*sinh(f*x+e)),x)","F"
113,1,723,249,0.241000," ","int((d*x+c)^3/(a+I*a*sinh(f*x+e))^2,x)","\frac{-4 i f c \,d^{2} x \,{\mathrm e}^{2 f x +2 e}+4 i d^{3} x -4 i d^{3} x \,{\mathrm e}^{2 f x +2 e}+2 f^{2} d^{3} x^{3} {\mathrm e}^{f x +e}-2 f \,d^{3} x^{2} {\mathrm e}^{f x +e}-2 f \,c^{2} d \,{\mathrm e}^{f x +e}-2 i f \,d^{3} x^{2} {\mathrm e}^{2 f x +2 e}-4 f c \,d^{2} x \,{\mathrm e}^{f x +e}+6 f^{2} c \,d^{2} x^{2} {\mathrm e}^{f x +e}+6 f^{2} c^{2} d x \,{\mathrm e}^{f x +e}-2 i f^{2} c \,d^{2} x^{2}-2 i f^{2} c^{2} d x -2 i f \,c^{2} d \,{\mathrm e}^{2 f x +2 e}-\frac{2 i f^{2} d^{3} x^{3}}{3}+2 f^{2} c^{3} {\mathrm e}^{f x +e}-\frac{2 i f^{2} c^{3}}{3}-4 i c \,d^{2} {\mathrm e}^{2 f x +2 e}+4 i c \,d^{2}-8 d^{3} x \,{\mathrm e}^{f x +e}-8 c \,d^{2} {\mathrm e}^{f x +e}}{\left({\mathrm e}^{f x +e}-i\right)^{3} f^{3} a^{2}}-\frac{4 d^{2} \ln \left(1+i {\mathrm e}^{f x +e}\right) c x}{a^{2} f^{2}}-\frac{4 d^{2} \ln \left(1+i {\mathrm e}^{f x +e}\right) c e}{a^{2} f^{3}}+\frac{4 d^{2} c e x}{a^{2} f^{2}}+\frac{4 d^{2} \ln \left({\mathrm e}^{f x +e}-i\right) c e}{a^{2} f^{3}}-\frac{4 d^{2} \ln \left({\mathrm e}^{f x +e}\right) c e}{a^{2} f^{3}}+\frac{2 d^{3} x^{3}}{3 a^{2} f}+\frac{2 d \ln \left({\mathrm e}^{f x +e}\right) c^{2}}{a^{2} f^{2}}-\frac{2 d \ln \left({\mathrm e}^{f x +e}-i\right) c^{2}}{a^{2} f^{2}}+\frac{2 d^{3} \ln \left({\mathrm e}^{f x +e}\right) e^{2}}{a^{2} f^{4}}-\frac{2 d^{3} \ln \left({\mathrm e}^{f x +e}-i\right) e^{2}}{a^{2} f^{4}}+\frac{2 d^{3} \ln \left(1+i {\mathrm e}^{f x +e}\right) e^{2}}{a^{2} f^{4}}-\frac{4 d^{2} c \polylog \left(2, -i {\mathrm e}^{f x +e}\right)}{a^{2} f^{3}}+\frac{2 d^{2} c \,x^{2}}{a^{2} f}+\frac{2 d^{2} c \,e^{2}}{a^{2} f^{3}}-\frac{2 d^{3} e^{2} x}{a^{2} f^{3}}-\frac{2 d^{3} \ln \left(1+i {\mathrm e}^{f x +e}\right) x^{2}}{a^{2} f^{2}}-\frac{4 d^{3} \polylog \left(2, -i {\mathrm e}^{f x +e}\right) x}{a^{2} f^{3}}-\frac{4 d^{3} e^{3}}{3 a^{2} f^{4}}+\frac{4 d^{3} \ln \left({\mathrm e}^{f x +e}-i\right)}{a^{2} f^{4}}+\frac{4 d^{3} \polylog \left(3, -i {\mathrm e}^{f x +e}\right)}{a^{2} f^{4}}-\frac{4 d^{3} \ln \left({\mathrm e}^{f x +e}\right)}{a^{2} f^{4}}"," ",0,"2/3*(-6*I*f*c*d^2*x*exp(2*f*x+2*e)+6*I*d^3*x-6*I*d^3*x*exp(2*f*x+2*e)+3*f^2*d^3*x^3*exp(f*x+e)-3*f*d^3*x^2*exp(f*x+e)-3*f*c^2*d*exp(f*x+e)-3*I*f*d^3*x^2*exp(2*f*x+2*e)-6*f*c*d^2*x*exp(f*x+e)+9*f^2*c*d^2*x^2*exp(f*x+e)+9*f^2*c^2*d*x*exp(f*x+e)-3*I*f^2*c*d^2*x^2-3*I*f^2*c^2*d*x-3*I*f*c^2*d*exp(2*f*x+2*e)-I*f^2*d^3*x^3+3*f^2*c^3*exp(f*x+e)-I*f^2*c^3-6*I*c*d^2*exp(2*f*x+2*e)+6*I*c*d^2-12*d^3*x*exp(f*x+e)-12*c*d^2*exp(f*x+e))/(exp(f*x+e)-I)^3/f^3/a^2-4/a^2/f^2*d^2*ln(1+I*exp(f*x+e))*c*x-4/a^2/f^3*d^2*ln(1+I*exp(f*x+e))*c*e+4/a^2/f^2*d^2*c*e*x+4/a^2/f^3*d^2*ln(exp(f*x+e)-I)*c*e-4/a^2/f^3*d^2*ln(exp(f*x+e))*c*e+2/3/a^2/f*d^3*x^3+2/a^2/f^2*d*ln(exp(f*x+e))*c^2-2/a^2/f^2*d*ln(exp(f*x+e)-I)*c^2+2/a^2/f^4*d^3*ln(exp(f*x+e))*e^2-2/a^2/f^4*d^3*ln(exp(f*x+e)-I)*e^2+2/a^2/f^4*d^3*ln(1+I*exp(f*x+e))*e^2-4/a^2/f^3*d^2*c*polylog(2,-I*exp(f*x+e))+2/a^2/f*d^2*c*x^2+2/a^2/f^3*d^2*c*e^2-2/a^2/f^3*d^3*e^2*x-2/a^2/f^2*d^3*ln(1+I*exp(f*x+e))*x^2-4/a^2/f^3*d^3*polylog(2,-I*exp(f*x+e))*x-4/3/a^2/f^4*d^3*e^3+4/a^2/f^4*d^3*ln(exp(f*x+e)-I)+4*d^3*polylog(3,-I*exp(f*x+e))/a^2/f^4-4/a^2/f^4*d^3*ln(exp(f*x+e))","B"
114,1,374,188,0.219000," ","int((d*x+c)^2/(a+I*a*sinh(f*x+e))^2,x)","\frac{\frac{4 i d^{2}}{3}-\frac{2 i f^{2} d^{2} x^{2}}{3}-\frac{4 f \,d^{2} x \,{\mathrm e}^{f x +e}}{3}-\frac{4 f c d \,{\mathrm e}^{f x +e}}{3}-\frac{8 d^{2} {\mathrm e}^{f x +e}}{3}-\frac{2 i f^{2} c^{2}}{3}-\frac{4 i d^{2} {\mathrm e}^{2 f x +2 e}}{3}-\frac{4 i f^{2} c d x}{3}-\frac{4 i f \,d^{2} x \,{\mathrm e}^{2 f x +2 e}}{3}-\frac{4 i f c d \,{\mathrm e}^{2 f x +2 e}}{3}+2 f^{2} d^{2} x^{2} {\mathrm e}^{f x +e}+4 f^{2} c d x \,{\mathrm e}^{f x +e}+2 f^{2} c^{2} {\mathrm e}^{f x +e}}{\left({\mathrm e}^{f x +e}-i\right)^{3} f^{3} a^{2}}-\frac{4 d \ln \left({\mathrm e}^{f x +e}-i\right) c}{3 a^{2} f^{2}}+\frac{4 d \ln \left({\mathrm e}^{f x +e}\right) c}{3 a^{2} f^{2}}+\frac{2 d^{2} x^{2}}{3 a^{2} f}+\frac{4 d^{2} e x}{3 a^{2} f^{2}}+\frac{2 d^{2} e^{2}}{3 a^{2} f^{3}}-\frac{4 d^{2} \ln \left(1+i {\mathrm e}^{f x +e}\right) x}{3 a^{2} f^{2}}-\frac{4 d^{2} \ln \left(1+i {\mathrm e}^{f x +e}\right) e}{3 a^{2} f^{3}}-\frac{4 d^{2} \polylog \left(2, -i {\mathrm e}^{f x +e}\right)}{3 a^{2} f^{3}}+\frac{4 d^{2} e \ln \left({\mathrm e}^{f x +e}-i\right)}{3 a^{2} f^{3}}-\frac{4 d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{3 a^{2} f^{3}}"," ",0,"2/3*(2*I*d^2-I*f^2*d^2*x^2-2*f*d^2*x*exp(f*x+e)-2*f*c*d*exp(f*x+e)-4*d^2*exp(f*x+e)-I*f^2*c^2-2*I*d^2*exp(2*f*x+2*e)-2*I*f^2*c*d*x-2*I*f*d^2*x*exp(2*f*x+2*e)-2*I*f*c*d*exp(2*f*x+2*e)+3*f^2*d^2*x^2*exp(f*x+e)+6*f^2*c*d*x*exp(f*x+e)+3*f^2*c^2*exp(f*x+e))/(exp(f*x+e)-I)^3/f^3/a^2-4/3/a^2/f^2*d*ln(exp(f*x+e)-I)*c+4/3/a^2/f^2*d*ln(exp(f*x+e))*c+2/3/a^2/f*d^2*x^2+4/3/a^2/f^2*d^2*e*x+2/3/a^2/f^3*d^2*e^2-4/3/a^2/f^2*d^2*ln(1+I*exp(f*x+e))*x-4/3/a^2/f^3*d^2*ln(1+I*exp(f*x+e))*e-4/3*d^2*polylog(2,-I*exp(f*x+e))/a^2/f^3+4/3/a^2/f^3*d^2*e*ln(exp(f*x+e)-I)-4/3/a^2/f^3*d^2*e*ln(exp(f*x+e))","A"
115,1,113,115,0.230000," ","int((d*x+c)/(a+I*a*sinh(f*x+e))^2,x)","\frac{2 d x}{3 f \,a^{2}}+\frac{2 d e}{3 f^{2} a^{2}}-\frac{2 i \left(3 i f d x \,{\mathrm e}^{f x +e}+3 i f c \,{\mathrm e}^{f x +e}-i d \,{\mathrm e}^{f x +e}+d f x +{\mathrm e}^{2 f x +2 e} d +c f \right)}{3 \left({\mathrm e}^{f x +e}-i\right)^{3} f^{2} a^{2}}-\frac{2 d \ln \left({\mathrm e}^{f x +e}-i\right)}{3 f^{2} a^{2}}"," ",0,"2/3*d/f/a^2*x+2/3*d/f^2/a^2*e-2/3*I*(3*I*f*d*x*exp(f*x+e)+3*I*f*c*exp(f*x+e)-I*d*exp(f*x+e)+d*f*x+exp(2*f*x+2*e)*d+c*f)/(exp(f*x+e)-I)^3/f^2/a^2-2/3*d/f^2/a^2*ln(exp(f*x+e)-I)","A"
116,0,0,24,0.924000," ","int(1/(d*x+c)/(a+I*a*sinh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right) \left(a +i a \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)/(a+I*a*sinh(f*x+e))^2,x)","F"
117,0,0,24,1.377000," ","int(1/(d*x+c)^2/(a+I*a*sinh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +i a \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)^2/(a+I*a*sinh(f*x+e))^2,x)","F"
118,1,174,145,0.105000," ","int(x^4*(a+I*a*sinh(f*x+e))^(1/2),x)","\frac{i \sqrt{2}\, \sqrt{a \left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) {\mathrm e}^{-f x -e}}\, \left(i x^{4} f^{4}+f^{4} x^{4} {\mathrm e}^{f x +e}+8 i x^{3} f^{3}-8 f^{3} x^{3} {\mathrm e}^{f x +e}+48 i x^{2} f^{2}+48 f^{2} x^{2} {\mathrm e}^{f x +e}+192 i x f -192 f x \,{\mathrm e}^{f x +e}+384 i+384 \,{\mathrm e}^{f x +e}\right) \left({\mathrm e}^{f x +e}-i\right)}{\left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) f^{5}}"," ",0,"I*2^(1/2)*(a*(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*exp(-f*x-e))^(1/2)/(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*(I*x^4*f^4+f^4*x^4*exp(f*x+e)+8*I*x^3*f^3-8*f^3*x^3*exp(f*x+e)+48*I*x^2*f^2+48*f^2*x^2*exp(f*x+e)+192*I*x*f-192*f*x*exp(f*x+e)+384*I+384*exp(f*x+e))*(exp(f*x+e)-I)/f^5","A"
119,1,151,110,0.069000," ","int(x^3*(a+I*a*sinh(f*x+e))^(1/2),x)","\frac{i \sqrt{2}\, \sqrt{a \left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) {\mathrm e}^{-f x -e}}\, \left(i x^{3} f^{3}+f^{3} x^{3} {\mathrm e}^{f x +e}+6 i x^{2} f^{2}-6 f^{2} x^{2} {\mathrm e}^{f x +e}+24 i x f +24 f x \,{\mathrm e}^{f x +e}+48 i-48 \,{\mathrm e}^{f x +e}\right) \left({\mathrm e}^{f x +e}-i\right)}{\left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) f^{4}}"," ",0,"I*2^(1/2)*(a*(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*exp(-f*x-e))^(1/2)/(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*(I*x^3*f^3+f^3*x^3*exp(f*x+e)+6*I*x^2*f^2-6*f^2*x^2*exp(f*x+e)+24*I*x*f+24*f*x*exp(f*x+e)+48*I-48*exp(f*x+e))*(exp(f*x+e)-I)/f^4","A"
120,1,128,88,0.066000," ","int(x^2*(a+I*a*sinh(f*x+e))^(1/2),x)","\frac{i \sqrt{2}\, \sqrt{a \left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) {\mathrm e}^{-f x -e}}\, \left(i x^{2} f^{2}+f^{2} x^{2} {\mathrm e}^{f x +e}+4 i x f -4 f x \,{\mathrm e}^{f x +e}+8 i+8 \,{\mathrm e}^{f x +e}\right) \left({\mathrm e}^{f x +e}-i\right)}{\left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) f^{3}}"," ",0,"I*2^(1/2)*(a*(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*exp(-f*x-e))^(1/2)/(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*(I*x^2*f^2+f^2*x^2*exp(f*x+e)+4*I*x*f-4*f*x*exp(f*x+e)+8*I+8*exp(f*x+e))*(exp(f*x+e)-I)/f^3","A"
121,1,105,53,0.060000," ","int(x*(a+I*a*sinh(f*x+e))^(1/2),x)","\frac{i \sqrt{2}\, \sqrt{a \left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) {\mathrm e}^{-f x -e}}\, \left(i x f +f x \,{\mathrm e}^{f x +e}+2 i-2 \,{\mathrm e}^{f x +e}\right) \left({\mathrm e}^{f x +e}-i\right)}{\left(i {\mathrm e}^{2 f x +2 e}+2 \,{\mathrm e}^{f x +e}-i\right) f^{2}}"," ",0,"I*2^(1/2)*(a*(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*exp(-f*x-e))^(1/2)/(I*exp(2*f*x+2*e)+2*exp(f*x+e)-I)*(I*x*f+f*x*exp(f*x+e)+2*I-2*exp(f*x+e))*(exp(f*x+e)-I)/f^2","A"
122,0,0,85,0.361000," ","int((a+I*a*sinh(f*x+e))^(1/2)/x,x)","\int \frac{\sqrt{a +i a \sinh \left(f x +e \right)}}{x}\, dx"," ",0,"int((a+I*a*sinh(f*x+e))^(1/2)/x,x)","F"
123,0,0,108,0.059000," ","int((a+I*a*sinh(f*x+e))^(1/2)/x^2,x)","\int \frac{\sqrt{a +i a \sinh \left(f x +e \right)}}{x^{2}}\, dx"," ",0,"int((a+I*a*sinh(f*x+e))^(1/2)/x^2,x)","F"
124,0,0,145,0.056000," ","int((a+I*a*sinh(f*x+e))^(1/2)/x^3,x)","\int \frac{\sqrt{a +i a \sinh \left(f x +e \right)}}{x^{3}}\, dx"," ",0,"int((a+I*a*sinh(f*x+e))^(1/2)/x^3,x)","F"
125,0,0,283,0.049000," ","int(x^3*(a+I*a*sinh(f*x+e))^(3/2),x)","\int x^{3} \left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^3*(a+I*a*sinh(f*x+e))^(3/2),x)","F"
126,0,0,224,0.039000," ","int(x^2*(a+I*a*sinh(f*x+e))^(3/2),x)","\int x^{2} \left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*(a+I*a*sinh(f*x+e))^(3/2),x)","F"
127,0,0,137,0.041000," ","int(x*(a+I*a*sinh(f*x+e))^(3/2),x)","\int x \left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x*(a+I*a*sinh(f*x+e))^(3/2),x)","F"
128,0,0,179,0.042000," ","int((a+I*a*sinh(f*x+e))^(3/2)/x,x)","\int \frac{\left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int((a+I*a*sinh(f*x+e))^(3/2)/x,x)","F"
129,0,0,218,0.046000," ","int((a+I*a*sinh(f*x+e))^(3/2)/x^2,x)","\int \frac{\left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int((a+I*a*sinh(f*x+e))^(3/2)/x^2,x)","F"
130,0,0,480,0.066000," ","int(x^3*(a+I*a*sinh(d*x+c))^(5/2),x)","\int x^{3} \left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x^3*(a+I*a*sinh(d*x+c))^(5/2),x)","F"
131,0,0,377,0.040000," ","int(x^2*(a+I*a*sinh(d*x+c))^(5/2),x)","\int x^{2} \left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x^2*(a+I*a*sinh(d*x+c))^(5/2),x)","F"
132,0,0,233,0.041000," ","int(x*(a+I*a*sinh(d*x+c))^(5/2),x)","\int x \left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x*(a+I*a*sinh(d*x+c))^(5/2),x)","F"
133,0,0,279,0.042000," ","int((a+I*a*sinh(d*x+c))^(5/2)/x,x)","\int \frac{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int((a+I*a*sinh(d*x+c))^(5/2)/x,x)","F"
134,0,0,322,0.046000," ","int((a+I*a*sinh(d*x+c))^(5/2)/x^2,x)","\int \frac{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"int((a+I*a*sinh(d*x+c))^(5/2)/x^2,x)","F"
135,0,0,385,0.043000," ","int((a+I*a*sinh(d*x+c))^(5/2)/x^3,x)","\int \frac{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}{x^{3}}\, dx"," ",0,"int((a+I*a*sinh(d*x+c))^(5/2)/x^3,x)","F"
136,0,0,353,0.215000," ","int(x^3/(a+I*a*sinh(f*x+e))^(1/2),x)","\int \frac{x^{3}}{\sqrt{a +i a \sinh \left(f x +e \right)}}\, dx"," ",0,"int(x^3/(a+I*a*sinh(f*x+e))^(1/2),x)","F"
137,0,0,249,0.078000," ","int(x^2/(a+I*a*sinh(f*x+e))^(1/2),x)","\int \frac{x^{2}}{\sqrt{a +i a \sinh \left(f x +e \right)}}\, dx"," ",0,"int(x^2/(a+I*a*sinh(f*x+e))^(1/2),x)","F"
138,0,0,147,0.069000," ","int(x/(a+I*a*sinh(f*x+e))^(1/2),x)","\int \frac{x}{\sqrt{a +i a \sinh \left(f x +e \right)}}\, dx"," ",0,"int(x/(a+I*a*sinh(f*x+e))^(1/2),x)","F"
139,0,0,20,0.059000," ","int(1/x/(a+I*a*sinh(f*x+e))^(1/2),x)","\int \frac{1}{x \sqrt{a +i a \sinh \left(f x +e \right)}}\, dx"," ",0,"int(1/x/(a+I*a*sinh(f*x+e))^(1/2),x)","F"
140,0,0,20,0.058000," ","int(1/x^2/(a+I*a*sinh(f*x+e))^(1/2),x)","\int \frac{1}{x^{2} \sqrt{a +i a \sinh \left(f x +e \right)}}\, dx"," ",0,"int(1/x^2/(a+I*a*sinh(f*x+e))^(1/2),x)","F"
141,0,0,592,0.048000," ","int(x^3/(a+I*a*sinh(f*x+e))^(3/2),x)","\int \frac{x^{3}}{\left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3/(a+I*a*sinh(f*x+e))^(3/2),x)","F"
142,0,0,374,0.048000," ","int(x^2/(a+I*a*sinh(f*x+e))^(3/2),x)","\int \frac{x^{2}}{\left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/(a+I*a*sinh(f*x+e))^(3/2),x)","F"
143,0,0,213,0.050000," ","int(x/(a+I*a*sinh(f*x+e))^(3/2),x)","\int \frac{x}{\left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x/(a+I*a*sinh(f*x+e))^(3/2),x)","F"
144,0,0,20,0.048000," ","int(1/x/(a+I*a*sinh(f*x+e))^(3/2),x)","\int \frac{1}{x \left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/(a+I*a*sinh(f*x+e))^(3/2),x)","F"
145,0,0,20,0.053000," ","int(1/x^2/(a+I*a*sinh(f*x+e))^(3/2),x)","\int \frac{1}{x^{2} \left(a +i a \sinh \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x^2/(a+I*a*sinh(f*x+e))^(3/2),x)","F"
146,0,0,743,0.046000," ","int(x^3/(a+I*a*sinh(d*x+c))^(5/2),x)","\int \frac{x^{3}}{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^3/(a+I*a*sinh(d*x+c))^(5/2),x)","F"
147,0,0,500,0.047000," ","int(x^2/(a+I*a*sinh(d*x+c))^(5/2),x)","\int \frac{x^{2}}{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2/(a+I*a*sinh(d*x+c))^(5/2),x)","F"
148,0,0,302,0.046000," ","int(x/(a+I*a*sinh(d*x+c))^(5/2),x)","\int \frac{x}{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x/(a+I*a*sinh(d*x+c))^(5/2),x)","F"
149,0,0,20,0.048000," ","int(1/x/(a+I*a*sinh(d*x+c))^(5/2),x)","\int \frac{1}{x \left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/(a+I*a*sinh(d*x+c))^(5/2),x)","F"
150,0,0,20,0.109000," ","int((a+I*a*sinh(f*x+e))^(1/3)/x,x)","\int \frac{\left(a +i a \sinh \left(f x +e \right)\right)^{\frac{1}{3}}}{x}\, dx"," ",0,"int((a+I*a*sinh(f*x+e))^(1/3)/x,x)","F"
151,0,0,24,0.085000," ","int((d*x+c)^m*(a+I*a*sinh(f*x+e))^n,x)","\int \left(d x +c \right)^{m} \left(a +i a \sinh \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((d*x+c)^m*(a+I*a*sinh(f*x+e))^n,x)","F"
152,0,0,390,0.194000," ","int((d*x+c)^m*(a+I*a*sinh(f*x+e))^3,x)","\int \left(d x +c \right)^{m} \left(a +i a \sinh \left(f x +e \right)\right)^{3}\, dx"," ",0,"int((d*x+c)^m*(a+I*a*sinh(f*x+e))^3,x)","F"
153,0,0,260,0.185000," ","int((d*x+c)^m*(a+I*a*sinh(f*x+e))^2,x)","\int \left(d x +c \right)^{m} \left(a +i a \sinh \left(f x +e \right)\right)^{2}\, dx"," ",0,"int((d*x+c)^m*(a+I*a*sinh(f*x+e))^2,x)","F"
154,0,0,127,0.092000," ","int((d*x+c)^m*(a+I*a*sinh(f*x+e)),x)","\int \left(d x +c \right)^{m} \left(a +i a \sinh \left(f x +e \right)\right)\, dx"," ",0,"int((d*x+c)^m*(a+I*a*sinh(f*x+e)),x)","F"
155,0,0,24,0.089000," ","int((d*x+c)^m/(a+I*a*sinh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{m}}{a +i a \sinh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^m/(a+I*a*sinh(f*x+e)),x)","F"
156,0,0,24,0.108000," ","int((d*x+c)^m/(a+I*a*sinh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +i a \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(a+I*a*sinh(f*x+e))^2,x)","F"
157,1,482,87,0.022000," ","int((d*x+c)^3*(a+b*sinh(f*x+e)),x)","\frac{\frac{d^{3} a \left(f x +e \right)^{4}}{4 f^{3}}+\frac{d^{3} b \left(\left(f x +e \right)^{3} \cosh \left(f x +e \right)-3 \left(f x +e \right)^{2} \sinh \left(f x +e \right)+6 \left(f x +e \right) \cosh \left(f x +e \right)-6 \sinh \left(f x +e \right)\right)}{f^{3}}-\frac{d^{3} e a \left(f x +e \right)^{3}}{f^{3}}-\frac{3 d^{3} e b \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{3}}+\frac{3 d^{3} e^{2} a \left(f x +e \right)^{2}}{2 f^{3}}+\frac{3 d^{3} e^{2} b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{3}}-\frac{d^{3} e^{3} a \left(f x +e \right)}{f^{3}}-\frac{d^{3} e^{3} b \cosh \left(f x +e \right)}{f^{3}}+\frac{d^{2} c a \left(f x +e \right)^{3}}{f^{2}}+\frac{3 c \,d^{2} b \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}-\frac{3 d^{2} e c a \left(f x +e \right)^{2}}{f^{2}}-\frac{6 c \,d^{2} e b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}+\frac{3 d^{2} e^{2} c a \left(f x +e \right)}{f^{2}}+\frac{3 c \,d^{2} e^{2} b \cosh \left(f x +e \right)}{f^{2}}+\frac{3 d \,c^{2} a \left(f x +e \right)^{2}}{2 f}+\frac{3 c^{2} d b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}-\frac{3 d e \,c^{2} a \left(f x +e \right)}{f}-\frac{3 c^{2} d e b \cosh \left(f x +e \right)}{f}+c^{3} a \left(f x +e \right)+b \,c^{3} \cosh \left(f x +e \right)}{f}"," ",0,"1/f*(1/4/f^3*d^3*a*(f*x+e)^4+1/f^3*d^3*b*((f*x+e)^3*cosh(f*x+e)-3*(f*x+e)^2*sinh(f*x+e)+6*(f*x+e)*cosh(f*x+e)-6*sinh(f*x+e))-1/f^3*d^3*e*a*(f*x+e)^3-3/f^3*d^3*e*b*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+3/2/f^3*d^3*e^2*a*(f*x+e)^2+3/f^3*d^3*e^2*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-d^3*e^3/f^3*a*(f*x+e)-1/f^3*d^3*e^3*b*cosh(f*x+e)+1/f^2*d^2*c*a*(f*x+e)^3+3/f^2*c*d^2*b*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))-3/f^2*d^2*e*c*a*(f*x+e)^2-6/f^2*c*d^2*e*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+3*d^2*e^2/f^2*c*a*(f*x+e)+3/f^2*c*d^2*e^2*b*cosh(f*x+e)+3/2/f*d*c^2*a*(f*x+e)^2+3/f*c^2*d*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-3*d*e/f*c^2*a*(f*x+e)-3/f*c^2*d*e*b*cosh(f*x+e)+c^3*a*(f*x+e)+b*c^3*cosh(f*x+e))","B"
158,1,240,65,0.016000," ","int((d*x+c)^2*(a+b*sinh(f*x+e)),x)","\frac{\frac{d^{2} a \left(f x +e \right)^{3}}{3 f^{2}}+\frac{d^{2} b \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}-\frac{d^{2} e a \left(f x +e \right)^{2}}{f^{2}}-\frac{2 d^{2} e b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}+\frac{d^{2} e^{2} a \left(f x +e \right)}{f^{2}}+\frac{d^{2} e^{2} b \cosh \left(f x +e \right)}{f^{2}}+\frac{d c a \left(f x +e \right)^{2}}{f}+\frac{2 c d b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}-\frac{2 d e c a \left(f x +e \right)}{f}-\frac{2 c d e b \cosh \left(f x +e \right)}{f}+c^{2} a \left(f x +e \right)+b \,c^{2} \cosh \left(f x +e \right)}{f}"," ",0,"1/f*(1/3/f^2*d^2*a*(f*x+e)^3+1/f^2*d^2*b*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))-1/f^2*d^2*e*a*(f*x+e)^2-2/f^2*d^2*e*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+d^2*e^2/f^2*a*(f*x+e)+1/f^2*d^2*e^2*b*cosh(f*x+e)+1/f*d*c*a*(f*x+e)^2+2/f*c*d*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-2*d*e/f*c*a*(f*x+e)-2/f*c*d*e*b*cosh(f*x+e)+c^2*a*(f*x+e)+b*c^2*cosh(f*x+e))","B"
159,1,91,43,0.016000," ","int((d*x+c)*(a+b*sinh(f*x+e)),x)","\frac{\frac{d a \left(f x +e \right)^{2}}{2 f}+\frac{d b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}-\frac{d e a \left(f x +e \right)}{f}-\frac{d e b \cosh \left(f x +e \right)}{f}+c a \left(f x +e \right)+c b \cosh \left(f x +e \right)}{f}"," ",0,"1/f*(1/2/f*d*a*(f*x+e)^2+1/f*d*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-d*e/f*a*(f*x+e)-d*e/f*b*cosh(f*x+e)+c*a*(f*x+e)+c*b*cosh(f*x+e))","B"
160,1,94,67,0.038000," ","int((a+b*sinh(f*x+e))/(d*x+c),x)","\frac{a \ln \left(d x +c \right)}{d}+\frac{b \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{2 d}-\frac{b \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{2 d}"," ",0,"a*ln(d*x+c)/d+1/2*b/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*b/d*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","A"
161,1,149,90,0.039000," ","int((a+b*sinh(f*x+e))/(d*x+c)^2,x)","-\frac{a}{d \left(d x +c \right)}+\frac{f b \,{\mathrm e}^{-f x -e}}{2 d \left(d f x +c f \right)}-\frac{f b \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{2 d^{2}}-\frac{f b \,{\mathrm e}^{f x +e}}{2 d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{f b \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{2 d^{2}}"," ",0,"-a/d/(d*x+c)+1/2*f*b*exp(-f*x-e)/d/(d*f*x+c*f)-1/2*f*b/d^2*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*f*b/d^2*exp(f*x+e)/(c*f/d+f*x)-1/2*f*b/d^2*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","A"
162,1,296,115,0.042000," ","int((a+b*sinh(f*x+e))/(d*x+c)^3,x)","-\frac{a}{2 d \left(d x +c \right)^{2}}-\frac{f^{3} b \,{\mathrm e}^{-f x -e} x}{4 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{3} b \,{\mathrm e}^{-f x -e} c}{4 d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{2} b \,{\mathrm e}^{-f x -e}}{4 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{2} b \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{4 d^{3}}-\frac{f^{2} b \,{\mathrm e}^{f x +e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{f^{2} b \,{\mathrm e}^{f x +e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{f^{2} b \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{4 d^{3}}"," ",0,"-1/2*a/d/(d*x+c)^2-1/4*f^3*b*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x-1/4*f^3*b*exp(-f*x-e)/d^2/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*c+1/4*f^2*b*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)+1/4*f^2*b/d^3*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/4*f^2*b/d^3*exp(f*x+e)/(c*f/d+f*x)^2-1/4*f^2*b/d^3*exp(f*x+e)/(c*f/d+f*x)-1/4*f^2*b/d^3*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","B"
163,1,1061,234,0.032000," ","int((d*x+c)^3*(a+b*sinh(f*x+e))^2,x)","\frac{\frac{6 c^{2} d a b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}+\frac{3 c \,d^{2} e^{2} a^{2} \left(f x +e \right)}{f^{2}}-\frac{6 c^{2} d e a b \cosh \left(f x +e \right)}{f}-\frac{12 c \,d^{2} e a b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}+\frac{6 c \,d^{2} e^{2} a b \cosh \left(f x +e \right)}{f^{2}}-\frac{6 c \,d^{2} e \,b^{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)}{f^{2}}-\frac{6 d^{3} e a b \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{3}}+\frac{6 d^{3} e^{2} a b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{3}}+\frac{6 c \,d^{2} a b \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}-\frac{3 c^{2} d e \,b^{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}-\frac{2 d^{3} e^{3} a b \cosh \left(f x +e \right)}{f^{3}}+\frac{3 c \,d^{2} e^{2} b^{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^{2}}-\frac{3 c^{2} d e \,a^{2} \left(f x +e \right)}{f}-\frac{3 c \,d^{2} e \,a^{2} \left(f x +e \right)^{2}}{f^{2}}+\frac{d^{3} b^{2} \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)}{f^{3}}+2 c^{3} a b \cosh \left(f x +e \right)+c^{3} b^{2} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}-\frac{f x}{2}-\frac{e}{2}\right)+\frac{d^{3} a^{2} \left(f x +e \right)^{4}}{4 f^{3}}-\frac{3 d^{3} e \,b^{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)}{f^{3}}+\frac{3 d^{3} e^{2} b^{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)}{f^{3}}+\frac{3 c \,d^{2} b^{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)}{f^{2}}+\frac{3 c^{2} d \,b^{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)}{f}-\frac{d^{3} e^{3} b^{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}}+\frac{2 d^{3} a b \left(\left(f x +e \right)^{3} \cosh \left(f x +e \right)-3 \left(f x +e \right)^{2} \sinh \left(f x +e \right)+6 \left(f x +e \right) \cosh \left(f x +e \right)-6 \sinh \left(f x +e \right)\right)}{f^{3}}+\frac{c \,d^{2} a^{2} \left(f x +e \right)^{3}}{f^{2}}-\frac{d^{3} e^{3} a^{2} \left(f x +e \right)}{f^{3}}-\frac{d^{3} e \,a^{2} \left(f x +e \right)^{3}}{f^{3}}+\frac{3 c^{2} d \,a^{2} \left(f x +e \right)^{2}}{2 f}+\frac{3 d^{3} e^{2} a^{2} \left(f x +e \right)^{2}}{2 f^{3}}+c^{3} a^{2} \left(f x +e \right)}{f}"," ",0,"1/f*(6/f*c^2*d*a*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+3/f^2*c*d^2*e^2*a^2*(f*x+e)-6/f*c^2*d*e*a*b*cosh(f*x+e)-12/f^2*c*d^2*e*a*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+6/f^2*c*d^2*e^2*a*b*cosh(f*x+e)-6/f^3*d^3*e*a*b*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+6/f^3*d^3*e^2*a*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+6/f^2*c*d^2*a*b*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))-6/f^2*c*d^2*e*b^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/f*c^2*d*e*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)-2/f^3*d^3*e^3*a*b*cosh(f*x+e)+3/f^2*c*d^2*e^2*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)-3/f*c^2*d*e*a^2*(f*x+e)-3/f^2*c*d^2*e*a^2*(f*x+e)^2+2*c^3*a*b*cosh(f*x+e)+1/f^3*d^3*b^2*(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)+c^3*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+1/4/f^3*d^3*a^2*(f*x+e)^4-1/f^3*d^3*e^3*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+2/f^3*d^3*a*b*((f*x+e)^3*cosh(f*x+e)-3*(f*x+e)^2*sinh(f*x+e)+6*(f*x+e)*cosh(f*x+e)-6*sinh(f*x+e))-3/f^3*d^3*e*b^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)+3/f^3*d^3*e^2*b^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/f^2*c*d^2*b^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)+3/f*c^2*d*b^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)+1/f^2*c*d^2*a^2*(f*x+e)^3-1/f^3*d^3*e^3*a^2*(f*x+e)-1/f^3*d^3*e*a^2*(f*x+e)^3+3/2/f*c^2*d*a^2*(f*x+e)^2+3/2/f^3*d^3*e^2*a^2*(f*x+e)^2+c^3*a^2*(f*x+e))","B"
164,1,535,170,0.029000," ","int((d*x+c)^2*(a+b*sinh(f*x+e))^2,x)","\frac{\frac{d^{2} a^{2} \left(f x +e \right)^{3}}{3 f^{2}}+\frac{2 d^{2} a b \left(\left(f x +e \right)^{2} \cosh \left(f x +e \right)-2 \left(f x +e \right) \sinh \left(f x +e \right)+2 \cosh \left(f x +e \right)\right)}{f^{2}}+\frac{d^{2} b^{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)}{f^{2}}-\frac{d^{2} e \,a^{2} \left(f x +e \right)^{2}}{f^{2}}-\frac{4 d^{2} e a b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f^{2}}-\frac{2 d^{2} e \,b^{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)}{f^{2}}+\frac{d^{2} e^{2} a^{2} \left(f x +e \right)}{f^{2}}+\frac{2 d^{2} e^{2} a b \cosh \left(f x +e \right)}{f^{2}}+\frac{d^{2} e^{2} b^{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^{2}}+\frac{c d \,a^{2} \left(f x +e \right)^{2}}{f}+\frac{4 c d a b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}+\frac{2 c d \,b^{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)}{f}-\frac{2 c d e \,a^{2} \left(f x +e \right)}{f}-\frac{4 c d e a b \cosh \left(f x +e \right)}{f}-\frac{2 c d e \,b^{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}+c^{2} a^{2} \left(f x +e \right)+2 c^{2} a b \cosh \left(f x +e \right)+c^{2} b^{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}"," ",0,"1/f*(1/3/f^2*d^2*a^2*(f*x+e)^3+2/f^2*d^2*a*b*((f*x+e)^2*cosh(f*x+e)-2*(f*x+e)*sinh(f*x+e)+2*cosh(f*x+e))+1/f^2*d^2*b^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)-1/f^2*d^2*e*a^2*(f*x+e)^2-4/f^2*d^2*e*a*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))-2/f^2*d^2*e*b^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)+1/f^2*d^2*e^2*a^2*(f*x+e)+2/f^2*d^2*e^2*a*b*cosh(f*x+e)+1/f^2*d^2*e^2*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+1/f*c*d*a^2*(f*x+e)^2+4/f*c*d*a*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+2/f*c*d*b^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/f*c*d*e*a^2*(f*x+e)-4/f*c*d*e*a*b*cosh(f*x+e)-2/f*c*d*e*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+c^2*a^2*(f*x+e)+2*c^2*a*b*cosh(f*x+e)+c^2*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e))","B"
165,1,208,106,0.028000," ","int((d*x+c)*(a+b*sinh(f*x+e))^2,x)","\frac{\frac{d \,a^{2} \left(f x +e \right)^{2}}{2 f}+\frac{2 d a b \left(\left(f x +e \right) \cosh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{f}+\frac{d \,b^{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)}{f}-\frac{d e \,a^{2} \left(f x +e \right)}{f}-\frac{2 d e a b \cosh \left(f x +e \right)}{f}-\frac{d e \,b^{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}+c \,a^{2} \left(f x +e \right)+2 c a b \cosh \left(f x +e \right)+c \,b^{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}"," ",0,"1/f*(1/2/f*d*a^2*(f*x+e)^2+2/f*d*a*b*((f*x+e)*cosh(f*x+e)-sinh(f*x+e))+1/f*d*b^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)-d*e/f*a^2*(f*x+e)-2*d*e/f*a*b*cosh(f*x+e)-d*e/f*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e)+c*a^2*(f*x+e)+2*c*a*b*cosh(f*x+e)+c*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)-1/2*f*x-1/2*e))","A"
166,1,201,152,0.192000," ","int((a+b*sinh(f*x+e))^2/(d*x+c),x)","-\frac{a b \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{d}+\frac{a^{2} \ln \left(d x +c \right)}{d}-\frac{b^{2} \ln \left(d x +c \right)}{2 d}-\frac{b^{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)}{4 d}-\frac{b^{2} {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{d}} \Ei \left(1, -2 f x -2 e -\frac{2 \left(c f -d e \right)}{d}\right)}{4 d}+\frac{a b \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{d}"," ",0,"-a*b/d*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)+a^2*ln(d*x+c)/d-1/2*b^2*ln(d*x+c)/d-1/4*b^2/d*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)-1/4*b^2/d*exp(-2*(c*f-d*e)/d)*Ei(1,-2*f*x-2*e-2*(c*f-d*e)/d)+a*b/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)","A"
167,1,319,186,0.218000," ","int((a+b*sinh(f*x+e))^2/(d*x+c)^2,x)","-\frac{f a b \,{\mathrm e}^{f x +e}}{d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{f a b \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{d^{2}}-\frac{a^{2}}{d \left(d x +c \right)}+\frac{b^{2}}{2 d \left(d x +c \right)}-\frac{f \,b^{2} {\mathrm e}^{-2 f x -2 e}}{4 d \left(d f x +c f \right)}+\frac{f \,b^{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)}{2 d^{2}}-\frac{f \,b^{2} {\mathrm e}^{2 f x +2 e}}{4 d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{f \,b^{2} {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{d}} \Ei \left(1, -2 f x -2 e -\frac{2 \left(c f -d e \right)}{d}\right)}{2 d^{2}}+\frac{f a b \,{\mathrm e}^{-f x -e}}{d \left(d f x +c f \right)}-\frac{f a b \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{d^{2}}"," ",0,"-1/d^2*f*a*b*exp(f*x+e)/(c*f/d+f*x)-1/d^2*f*a*b*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)-a^2/d/(d*x+c)+1/2*b^2/d/(d*x+c)-1/4*f*b^2*exp(-2*f*x-2*e)/d/(d*f*x+c*f)+1/2*f*b^2/d^2*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)-1/4*f*b^2/d^2*exp(2*f*x+2*e)/(c*f/d+f*x)-1/2*f*b^2/d^2*exp(-2*(c*f-d*e)/d)*Ei(1,-2*f*x-2*e-2*(c*f-d*e)/d)+f*a*b*exp(-f*x-e)/d/(d*f*x+c*f)-f*a*b/d^2*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)","A"
168,1,626,242,0.227000," ","int((a+b*sinh(f*x+e))^2/(d*x+c)^3,x)","-\frac{f^{2} a b \,{\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{f^{2} a b \,{\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{f^{2} a b \,{\mathrm e}^{-\frac{c f -d e}{d}} \Ei \left(1, -f x -e -\frac{c f -d e}{d}\right)}{2 d^{3}}-\frac{a^{2}}{2 d \left(d x +c \right)^{2}}+\frac{b^{2}}{4 d \left(d x +c \right)^{2}}+\frac{f^{3} b^{2} {\mathrm e}^{-2 f x -2 e} x}{4 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{3} b^{2} {\mathrm e}^{-2 f x -2 e} c}{4 d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{2} b^{2} {\mathrm e}^{-2 f x -2 e}}{8 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{2} b^{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)}{2 d^{3}}-\frac{f^{2} b^{2} {\mathrm e}^{2 f x +2 e}}{8 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{f^{2} b^{2} {\mathrm e}^{2 f x +2 e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{f^{2} b^{2} {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{d}} \Ei \left(1, -2 f x -2 e -\frac{2 \left(c f -d e \right)}{d}\right)}{2 d^{3}}-\frac{f^{3} a b \,{\mathrm e}^{-f x -e} x}{2 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}-\frac{f^{3} a b \,{\mathrm e}^{-f x -e} c}{2 d^{2} \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{2} a b \,{\mathrm e}^{-f x -e}}{2 d \left(d^{2} f^{2} x^{2}+2 c d \,f^{2} x +c^{2} f^{2}\right)}+\frac{f^{2} a b \,{\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{2 d^{3}}"," ",0,"-1/2/d^3*f^2*a*b*exp(f*x+e)/(c*f/d+f*x)^2-1/2/d^3*f^2*a*b*exp(f*x+e)/(c*f/d+f*x)-1/2/d^3*f^2*a*b*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)-1/2*a^2/d/(d*x+c)^2+1/4*b^2/d/(d*x+c)^2+1/4*f^3*b^2*exp(-2*f*x-2*e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x+1/4*f^3*b^2*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-1/8*f^2*b^2*exp(-2*f*x-2*e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)-1/2*f^2*b^2/d^3*exp(2*(c*f-d*e)/d)*Ei(1,2*f*x+2*e+2*(c*f-d*e)/d)-1/8*f^2*b^2/d^3*exp(2*f*x+2*e)/(c*f/d+f*x)^2-1/4*f^2*b^2/d^3*exp(2*f*x+2*e)/(c*f/d+f*x)-1/2*f^2*b^2/d^3*exp(-2*(c*f-d*e)/d)*Ei(1,-2*f*x-2*e-2*(c*f-d*e)/d)-1/2*f^3*a*b*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*x-1/2*f^3*a*b*exp(-f*x-e)/d^2/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)*c+1/2*f^2*a*b*exp(-f*x-e)/d/(d^2*f^2*x^2+2*c*d*f^2*x+c^2*f^2)+1/2*f^2*a*b/d^3*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)","B"
169,0,0,364,0.274000," ","int((d*x+c)^3/(a+b*sinh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{3}}{a +b \sinh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^3/(a+b*sinh(f*x+e)),x)","F"
170,0,0,266,0.185000," ","int((d*x+c)^2/(a+b*sinh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{2}}{a +b \sinh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^2/(a+b*sinh(f*x+e)),x)","F"
171,1,393,167,0.086000," ","int((d*x+c)/(a+b*sinh(f*x+e)),x)","-\frac{2 c \arctanh \left(\frac{2 b \,{\mathrm e}^{f x +e}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{f \sqrt{a^{2}+b^{2}}}+\frac{d \ln \left(\frac{-b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{f \sqrt{a^{2}+b^{2}}}+\frac{d \ln \left(\frac{-b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) e}{f^{2} \sqrt{a^{2}+b^{2}}}-\frac{d \ln \left(\frac{b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{f \sqrt{a^{2}+b^{2}}}-\frac{d \ln \left(\frac{b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) e}{f^{2} \sqrt{a^{2}+b^{2}}}+\frac{d \dilog \left(\frac{-b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{f^{2} \sqrt{a^{2}+b^{2}}}-\frac{d \dilog \left(\frac{b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{f^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 d e \arctanh \left(\frac{2 b \,{\mathrm e}^{f x +e}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{f^{2} \sqrt{a^{2}+b^{2}}}"," ",0,"-2/f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(f*x+e)+2*a)/(a^2+b^2)^(1/2))+1/f*d/(a^2+b^2)^(1/2)*ln((-b*exp(f*x+e)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/f^2*d/(a^2+b^2)^(1/2)*ln((-b*exp(f*x+e)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*e-1/f*d/(a^2+b^2)^(1/2)*ln((b*exp(f*x+e)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/f^2*d/(a^2+b^2)^(1/2)*ln((b*exp(f*x+e)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*e+1/f^2*d/(a^2+b^2)^(1/2)*dilog((-b*exp(f*x+e)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/f^2*d/(a^2+b^2)^(1/2)*dilog((b*exp(f*x+e)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/f^2*d*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(f*x+e)+2*a)/(a^2+b^2)^(1/2))","B"
172,0,0,22,0.089000," ","int(1/(d*x+c)/(a+b*sinh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right) \left(a +b \sinh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)/(a+b*sinh(f*x+e)),x)","F"
173,0,0,22,0.092000," ","int(1/(d*x+c)^2/(a+b*sinh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \sinh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*sinh(f*x+e)),x)","F"
174,0,0,507,0.443000," ","int((d*x+c)^2/(a+b*sinh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{2}}{\left(a +b \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^2/(a+b*sinh(f*x+e))^2,x)","F"
175,1,519,234,0.164000," ","int((d*x+c)/(a+b*sinh(f*x+e))^2,x)","\frac{2 \left(d x +c \right) \left(a \,{\mathrm e}^{f x +e}-b \right)}{f \left(a^{2}+b^{2}\right) \left(b \,{\mathrm e}^{2 f x +2 e}+2 a \,{\mathrm e}^{f x +e}-b \right)}-\frac{2 d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a^{2}+b^{2}\right)}+\frac{d \ln \left(b \,{\mathrm e}^{2 f x +2 e}+2 a \,{\mathrm e}^{f x +e}-b \right)}{f^{2} \left(a^{2}+b^{2}\right)}-\frac{2 a c \arctanh \left(\frac{2 b \,{\mathrm e}^{f x +e}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{f \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{d a \ln \left(\frac{-b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{f \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{d a \ln \left(\frac{-b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) e}{f^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{d a \ln \left(\frac{b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{f \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{d a \ln \left(\frac{b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) e}{f^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{d a \dilog \left(\frac{-b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{f^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{d a \dilog \left(\frac{b \,{\mathrm e}^{f x +e}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{f^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{2 a d e \arctanh \left(\frac{2 b \,{\mathrm e}^{f x +e}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{f^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(d*x+c)*(a*exp(f*x+e)-b)/f/(a^2+b^2)/(b*exp(2*f*x+2*e)+2*a*exp(f*x+e)-b)-2/f^2/(a^2+b^2)*d*ln(exp(f*x+e))+1/f^2/(a^2+b^2)*d*ln(b*exp(2*f*x+2*e)+2*a*exp(f*x+e)-b)-2/f/(a^2+b^2)^(3/2)*a*c*arctanh(1/2*(2*b*exp(f*x+e)+2*a)/(a^2+b^2)^(1/2))+1/f/(a^2+b^2)^(3/2)*d*a*ln((-b*exp(f*x+e)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/f^2/(a^2+b^2)^(3/2)*d*a*ln((-b*exp(f*x+e)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*e-1/f/(a^2+b^2)^(3/2)*d*a*ln((b*exp(f*x+e)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/f^2/(a^2+b^2)^(3/2)*d*a*ln((b*exp(f*x+e)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*e+1/f^2/(a^2+b^2)^(3/2)*d*a*dilog((-b*exp(f*x+e)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/f^2/(a^2+b^2)^(3/2)*d*a*dilog((b*exp(f*x+e)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/f^2/(a^2+b^2)^(3/2)*a*d*e*arctanh(1/2*(2*b*exp(f*x+e)+2*a)/(a^2+b^2)^(1/2))","B"
176,0,0,22,0.418000," ","int(1/(d*x+c)/(a+b*sinh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right) \left(a +b \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)/(a+b*sinh(f*x+e))^2,x)","F"
177,0,0,22,0.608000," ","int(1/(d*x+c)^2/(a+b*sinh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*sinh(f*x+e))^2,x)","F"
178,1,1232,480,0.282000," ","int((f*x+e)/(a+b*sinh(d*x+c))^3,x)","\frac{2 a^{2} b d f x \,{\mathrm e}^{3 d x +3 c}-b^{3} d f x \,{\mathrm e}^{3 d x +3 c}+6 a^{3} d f x \,{\mathrm e}^{2 d x +2 c}+2 a^{2} b d e \,{\mathrm e}^{3 d x +3 c}-3 a \,b^{2} d f x \,{\mathrm e}^{2 d x +2 c}-b^{3} d e \,{\mathrm e}^{3 d x +3 c}+6 a^{3} d e \,{\mathrm e}^{2 d x +2 c}-10 a^{2} b d f x \,{\mathrm e}^{d x +c}-a^{2} b f \,{\mathrm e}^{3 d x +3 c}-3 a \,b^{2} d e \,{\mathrm e}^{2 d x +2 c}-b^{3} d f x \,{\mathrm e}^{d x +c}-b^{3} f \,{\mathrm e}^{3 d x +3 c}-2 a^{3} f \,{\mathrm e}^{2 d x +2 c}-10 a^{2} b d e \,{\mathrm e}^{d x +c}+3 a \,b^{2} d f x -2 a \,b^{2} f \,{\mathrm e}^{2 d x +2 c}-b^{3} d e \,{\mathrm e}^{d x +c}+a^{2} b f \,{\mathrm e}^{d x +c}+3 a \,b^{2} d e +b^{3} f \,{\mathrm e}^{d x +c}}{d^{2} \left(a^{2}+b^{2}\right)^{2} \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)^{2}}-\frac{b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{3 a f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{2 \left(a^{2}+b^{2}\right)^{2} d^{2}}-\frac{3 a f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right)^{2} d^{2}}-\frac{2 a^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}+\frac{2 a^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}-\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{2 \left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}-\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{2 \left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{2 \left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}+\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{2 \left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{2 \left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{2 \left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}"," ",0,"(2*a^2*b*d*f*x*exp(3*d*x+3*c)-b^3*d*f*x*exp(3*d*x+3*c)+6*a^3*d*f*x*exp(2*d*x+2*c)+2*a^2*b*d*e*exp(3*d*x+3*c)-3*a*b^2*d*f*x*exp(2*d*x+2*c)-b^3*d*e*exp(3*d*x+3*c)+6*a^3*d*e*exp(2*d*x+2*c)-10*a^2*b*d*f*x*exp(d*x+c)-a^2*b*f*exp(3*d*x+3*c)-3*a*b^2*d*e*exp(2*d*x+2*c)-b^3*d*f*x*exp(d*x+c)-b^3*f*exp(3*d*x+3*c)-2*a^3*f*exp(2*d*x+2*c)-10*a^2*b*d*e*exp(d*x+c)+3*a*b^2*d*f*x-2*a*b^2*f*exp(2*d*x+2*c)-b^3*d*e*exp(d*x+c)+a^2*b*f*exp(d*x+c)+3*a*b^2*d*e+b^3*f*exp(d*x+c))/d^2/(a^2+b^2)^2/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)^2-1/(a^2+b^2)^(5/2)/d^2*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3/2/(a^2+b^2)^2/d^2*a*f*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-3/(a^2+b^2)^2/d^2*a*f*ln(exp(d*x+c))-2/(a^2+b^2)^(5/2)/d*a^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(5/2)/d^2*a^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)^(5/2)/d*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/(a^2+b^2)^(5/2)/d^2*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/(a^2+b^2)^(5/2)/d*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^(5/2)/d^2*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^(5/2)/d^2*a^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/(a^2+b^2)^(5/2)/d^2*a^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/(a^2+b^2)^(5/2)/d*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/(a^2+b^2)^(5/2)/d*b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/2/(a^2+b^2)^(5/2)/d^2*b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/2/(a^2+b^2)^(5/2)/d*b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/2/(a^2+b^2)^(5/2)/d^2*b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/2/(a^2+b^2)^(5/2)/d^2*b^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/2/(a^2+b^2)^(5/2)/d^2*b^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))","B"
179,0,0,22,0.721000," ","int(1/(f*x+e)/(a+b*sinh(d*x+c))^3,x)","\int \frac{1}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)^{3}}\, dx"," ",0,"int(1/(f*x+e)/(a+b*sinh(d*x+c))^3,x)","F"
180,0,0,22,1.078000," ","int(1/(f*x+e)^2/(a+b*sinh(d*x+c))^3,x)","\int \frac{1}{\left(f x +e \right)^{2} \left(a +b \sinh \left(d x +c \right)\right)^{3}}\, dx"," ",0,"int(1/(f*x+e)^2/(a+b*sinh(d*x+c))^3,x)","F"
181,0,0,22,0.086000," ","int((d*x+c)^m*(a+b*sinh(f*x+e))^n,x)","\int \left(d x +c \right)^{m} \left(a +b \sinh \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((d*x+c)^m*(a+b*sinh(f*x+e))^n,x)","F"
182,0,0,521,0.243000," ","int((d*x+c)^m*(a+b*sinh(f*x+e))^3,x)","\int \left(d x +c \right)^{m} \left(a +b \sinh \left(f x +e \right)\right)^{3}\, dx"," ",0,"int((d*x+c)^m*(a+b*sinh(f*x+e))^3,x)","F"
183,0,0,275,0.146000," ","int((d*x+c)^m*(a+b*sinh(f*x+e))^2,x)","\int \left(d x +c \right)^{m} \left(a +b \sinh \left(f x +e \right)\right)^{2}\, dx"," ",0,"int((d*x+c)^m*(a+b*sinh(f*x+e))^2,x)","F"
184,0,0,125,0.086000," ","int((d*x+c)^m*(a+b*sinh(f*x+e)),x)","\int \left(d x +c \right)^{m} \left(a +b \sinh \left(f x +e \right)\right)\, dx"," ",0,"int((d*x+c)^m*(a+b*sinh(f*x+e)),x)","F"
185,0,0,22,0.088000," ","int((d*x+c)^m/(a+b*sinh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{m}}{a +b \sinh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^m/(a+b*sinh(f*x+e)),x)","F"
186,0,0,22,0.114000," ","int((d*x+c)^m/(a+b*sinh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +b \sinh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(a+b*sinh(f*x+e))^2,x)","F"
187,1,501,142,0.169000," ","int((f*x+e)^3*sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{12 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{6 i f^{3} c^{2} x}{a \,d^{3}}-\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{3 i e^{2} f \,x^{2}}{2 a}-\frac{2 \left(x^{3} f^{3}+3 e \,f^{2} x^{2}+3 e^{2} f x +e^{3}\right)}{d a \left({\mathrm e}^{d x +c}-i\right)}+\frac{6 i e \,f^{2} c^{2}}{a \,d^{3}}-\frac{i e \,f^{2} x^{3}}{a}-\frac{i e^{3} x}{a}+\frac{6 i e \,f^{2} x^{2}}{a d}-\frac{i x^{4} f^{3}}{4 a}-\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{12 i e \,f^{2} c x}{a \,d^{2}}+\frac{2 i f^{3} x^{3}}{a d}-\frac{12 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}+\frac{6 i \ln \left({\mathrm e}^{d x +c}\right) e^{2} f}{a \,d^{2}}-\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}+\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{4 i f^{3} c^{3}}{a \,d^{4}}+\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}-\frac{6 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2} f}{a \,d^{2}}+\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{12 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}"," ",0,"-12*I/a/d^3*e*f^2*polylog(2,-I*exp(d*x+c))-6*I/a/d^3*f^3*c^2*x-12*I/a/d^3*e*f^2*c*ln(exp(d*x+c))-3/2*I/a*e^2*f*x^2-2*(f^3*x^3+3*e*f^2*x^2+3*e^2*f*x+e^3)/d/a/(exp(d*x+c)-I)+6*I/a/d^3*e*f^2*c^2-I/a*e*f^2*x^3-I/a*e^3*x+6*I/a/d*e*f^2*x^2-1/4*I/a*x^4*f^3-12*I/a/d^2*e*f^2*ln(1+I*exp(d*x+c))*x+12*I/a/d^2*e*f^2*c*x+2*I/a/d*f^3*x^3-6*I/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)-12*I/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x+6*I/a/d^2*ln(exp(d*x+c))*e^2*f-6*I/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2+12*I/a/d^3*e*f^2*c*ln(exp(d*x+c)-I)-4*I/a/d^4*f^3*c^3+6*I/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^2+12*I*f^3*polylog(3,-I*exp(d*x+c))/a/d^4-6*I/a/d^2*ln(exp(d*x+c)-I)*e^2*f+6*I/a/d^4*f^3*c^2*ln(exp(d*x+c))-12*I/a/d^3*e*f^2*ln(1+I*exp(d*x+c))*c","B"
188,1,269,112,0.130000," ","int((f*x+e)^2*sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{i x^{3} f^{2}}{3 a}-\frac{i e f \,x^{2}}{a}-\frac{i e^{2} x}{a}-\frac{2 \left(x^{2} f^{2}+2 e f x +e^{2}\right)}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{4 i \ln \left({\mathrm e}^{d x +c}-i\right) e f}{a \,d^{2}}+\frac{4 i \ln \left({\mathrm e}^{d x +c}\right) e f}{a \,d^{2}}+\frac{2 i f^{2} x^{2}}{a d}+\frac{4 i f^{2} c x}{a \,d^{2}}+\frac{2 i f^{2} c^{2}}{a \,d^{3}}-\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{4 i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}"," ",0,"-1/3*I/a*x^3*f^2-I/a*e*f*x^2-I/a*e^2*x-2*(f^2*x^2+2*e*f*x+e^2)/d/a/(exp(d*x+c)-I)-4*I/a/d^2*ln(exp(d*x+c)-I)*e*f+4*I/a/d^2*ln(exp(d*x+c))*e*f+2*I/a/d*f^2*x^2+4*I/a/d^2*f^2*c*x+2*I/a/d^3*f^2*c^2-4*I/a/d^2*f^2*ln(1+I*exp(d*x+c))*x-4*I/a/d^3*f^2*ln(1+I*exp(d*x+c))*c-4*I*f^2*polylog(2,-I*exp(d*x+c))/a/d^3+4*I/a/d^3*f^2*c*ln(exp(d*x+c)-I)-4*I/a/d^3*f^2*c*ln(exp(d*x+c))","B"
189,1,86,70,0.150000," ","int((f*x+e)*sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{i f \,x^{2}}{2 a}-\frac{i e x}{a}+\frac{2 i f x}{a d}+\frac{2 i f c}{a \,d^{2}}-\frac{2 \left(f x +e \right)}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{2 i f \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{2}}"," ",0,"-1/2*I*f*x^2/a-I*e*x/a+2*I*f/a/d*x+2*I*f/a/d^2*c-2*(f*x+e)/d/a/(exp(d*x+c)-I)-2*I*f/a/d^2*ln(exp(d*x+c)-I)","A"
190,1,67,33,0.052000," ","int(sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}-\frac{i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{2 i}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}"," ",0,"I/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-I/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+2*I/d/a/(-I+tanh(1/2*d*x+1/2*c))","A"
191,0,0,30,0.140000," ","int(sinh(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\sinh \left(d x +c \right)}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
192,0,0,30,0.153000," ","int(sinh(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\sinh \left(d x +c \right)}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
193,1,688,222,0.291000," ","int((f*x+e)^3*sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{12 f^{2} e \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{12 f^{2} e \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{12 f^{2} e c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{12 f^{2} e c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{12 f^{2} e c x}{a \,d^{2}}-\frac{2 f^{3} x^{3}}{a d}+\frac{4 f^{3} c^{3}}{a \,d^{4}}-\frac{12 f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{e \,f^{2} x^{3}}{a}+\frac{3 e^{2} f \,x^{2}}{2 a}-\frac{6 f \ln \left({\mathrm e}^{d x +c}\right) e^{2}}{a \,d^{2}}+\frac{6 f^{3} c^{2} x}{a \,d^{3}}-\frac{i \left(f^{3} x^{3} d^{3}+3 d^{3} e \,f^{2} x^{2}+3 d^{3} e^{2} f x -3 d^{2} f^{3} x^{2}+d^{3} e^{3}-6 d^{2} e \,f^{2} x -3 d^{2} e^{2} f +6 d \,f^{3} x +6 d e \,f^{2}-6 f^{3}\right) {\mathrm e}^{d x +c}}{2 a \,d^{4}}-\frac{2 i \left(x^{3} f^{3}+3 e \,f^{2} x^{2}+3 e^{2} f x +e^{3}\right)}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{i \left(f^{3} x^{3} d^{3}+3 d^{3} e \,f^{2} x^{2}+3 d^{3} e^{2} f x +3 d^{2} f^{3} x^{2}+d^{3} e^{3}+6 d^{2} e \,f^{2} x +3 d^{2} e^{2} f +6 d \,f^{3} x +6 d e \,f^{2}+6 f^{3}\right) {\mathrm e}^{-d x -c}}{2 a \,d^{4}}+\frac{6 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}+\frac{6 f \ln \left({\mathrm e}^{d x +c}-i\right) e^{2}}{a \,d^{2}}+\frac{12 f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{12 f^{2} e \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{6 f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}-\frac{6 f^{2} e \,c^{2}}{a \,d^{3}}-\frac{6 f^{2} e \,x^{2}}{a d}-\frac{6 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{x^{4} f^{3}}{4 a}+\frac{e^{3} x}{a}"," ",0,"12/a/d^3*f^2*e*c*ln(exp(d*x+c))+12/a/d^2*f^2*e*ln(1+I*exp(d*x+c))*x+12/a/d^3*f^2*e*ln(1+I*exp(d*x+c))*c-12/a/d^2*f^2*e*c*x-12/a/d^3*f^2*e*c*ln(exp(d*x+c)-I)-12*f^3*polylog(3,-I*exp(d*x+c))/a/d^4-1/2*I*(d^3*f^3*x^3+3*d^3*e*f^2*x^2+3*d^3*e^2*f*x-3*d^2*f^3*x^2+d^3*e^3-6*d^2*e*f^2*x-3*d^2*e^2*f+6*d*f^3*x+6*d*e*f^2-6*f^3)/a/d^4*exp(d*x+c)-2*I*(f^3*x^3+3*e*f^2*x^2+3*e^2*f*x+e^3)/d/a/(exp(d*x+c)-I)-2/a/d*f^3*x^3+4/a/d^4*f^3*c^3-1/2*I*(d^3*f^3*x^3+3*d^3*e*f^2*x^2+3*d^3*e^2*f*x+3*d^2*f^3*x^2+d^3*e^3+6*d^2*e*f^2*x+3*d^2*e^2*f+6*d*f^3*x+6*d*e*f^2+6*f^3)/a/d^4*exp(-d*x-c)+1/a*e*f^2*x^3+3/2/a*e^2*f*x^2+12/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x+6/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)-6/a/d^2*f*ln(exp(d*x+c))*e^2+6/a/d^3*f^3*c^2*x+6/a/d^2*f*ln(exp(d*x+c)-I)*e^2-6/a/d^3*f^2*e*c^2-6/a/d*f^2*e*x^2+12/a/d^3*f^2*e*polylog(2,-I*exp(d*x+c))-6/a/d^4*f^3*c^2*ln(exp(d*x+c))+6/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2-6/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^2+1/4/a*x^4*f^3+1/a*e^3*x","B"
194,1,374,168,0.224000," ","int((f*x+e)^2*sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{x^{3} f^{2}}{3 a}+\frac{e f \,x^{2}}{a}+\frac{e^{2} x}{a}-\frac{i \left(d^{2} f^{2} x^{2}+2 d^{2} e f x +d^{2} e^{2}+2 d \,f^{2} x +2 d e f +2 f^{2}\right) {\mathrm e}^{-d x -c}}{2 a \,d^{3}}-\frac{i \left(d^{2} f^{2} x^{2}+2 d^{2} e f x +d^{2} e^{2}-2 d \,f^{2} x -2 d e f +2 f^{2}\right) {\mathrm e}^{d x +c}}{2 a \,d^{3}}-\frac{2 i \left(x^{2} f^{2}+2 e f x +e^{2}\right)}{d a \left({\mathrm e}^{d x +c}-i\right)}+\frac{4 f \ln \left({\mathrm e}^{d x +c}-i\right) e}{a \,d^{2}}-\frac{4 f \ln \left({\mathrm e}^{d x +c}\right) e}{a \,d^{2}}-\frac{2 f^{2} x^{2}}{a d}-\frac{4 f^{2} c x}{a \,d^{2}}-\frac{2 f^{2} c^{2}}{a \,d^{3}}+\frac{4 f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{4 f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}+\frac{4 f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{4 f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{4 f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}"," ",0,"1/3/a*x^3*f^2+1/a*e*f*x^2+1/a*e^2*x-1/2*I*(d^2*f^2*x^2+2*d^2*e*f*x+d^2*e^2+2*d*f^2*x+2*d*e*f+2*f^2)/a/d^3*exp(-d*x-c)-1/2*I*(d^2*f^2*x^2+2*d^2*e*f*x+d^2*e^2-2*d*f^2*x-2*d*e*f+2*f^2)/a/d^3*exp(d*x+c)-2*I*(f^2*x^2+2*e*f*x+e^2)/d/a/(exp(d*x+c)-I)+4/a/d^2*f*ln(exp(d*x+c)-I)*e-4/a/d^2*f*ln(exp(d*x+c))*e-2*f^2*x^2/a/d-4/a/d^2*f^2*c*x-2/a/d^3*f^2*c^2+4/a/d^2*f^2*ln(1+I*exp(d*x+c))*x+4/a/d^3*f^2*ln(1+I*exp(d*x+c))*c+4*f^2*polylog(2,-I*exp(d*x+c))/a/d^3-4/a/d^3*f^2*c*ln(exp(d*x+c)-I)+4/a/d^3*f^2*c*ln(exp(d*x+c))","B"
195,1,134,101,0.187000," ","int((f*x+e)*sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{f \,x^{2}}{2 a}+\frac{e x}{a}-\frac{i \left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 a \,d^{2}}-\frac{i \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 a \,d^{2}}-\frac{2 f x}{a d}-\frac{2 f c}{a \,d^{2}}-\frac{2 i \left(f x +e \right)}{d a \left({\mathrm e}^{d x +c}-i\right)}+\frac{2 f \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{2}}"," ",0,"1/2*f*x^2/a+e*x/a-1/2*I*(d*f*x+d*e-f)/a/d^2*exp(d*x+c)-1/2*I*(d*f*x+d*e+f)/a/d^2*exp(-d*x-c)-2*f*x/a/d-2*f/a/d^2*c-2*I*(f*x+e)/d/a/(exp(d*x+c)-I)+2*f/a/d^2*ln(exp(d*x+c)-I)","A"
196,1,107,49,0.069000," ","int(sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{i}{d a \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)}{d a}-\frac{i}{d a \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)}{d a}-\frac{2}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}"," ",0,"I/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-I/d/a/(tanh(1/2*d*x+1/2*c)+1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/a/(-I+tanh(1/2*d*x+1/2*c))","B"
197,0,0,32,0.198000," ","int(sinh(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\sinh^{2}\left(d x +c \right)}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
198,0,0,32,0.294000," ","int(sinh(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\sinh^{2}\left(d x +c \right)}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
199,1,928,354,0.267000," ","int((f*x+e)^3*sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{12 i e \,f^{2} c x}{a \,d^{2}}-\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}+\frac{3 i e^{3} x}{2 a}+\frac{3 i x^{4} f^{3}}{8 a}+\frac{6 i f^{3} c^{2} x}{a \,d^{3}}-\frac{6 i e \,f^{2} c^{2}}{a \,d^{3}}-\frac{6 i e \,f^{2} x^{2}}{a d}+\frac{12 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}-\frac{6 i \ln \left({\mathrm e}^{d x +c}\right) e^{2} f}{a \,d^{2}}+\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}+\frac{6 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2} f}{a \,d^{2}}-\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{12 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{\left(f^{3} x^{3} d^{3}+3 d^{3} e \,f^{2} x^{2}+3 d^{3} e^{2} f x -3 d^{2} f^{3} x^{2}+d^{3} e^{3}-6 d^{2} e \,f^{2} x -3 d^{2} e^{2} f +6 d \,f^{3} x +6 d e \,f^{2}-6 f^{3}\right) {\mathrm e}^{d x +c}}{2 a \,d^{4}}+\frac{\left(f^{3} x^{3} d^{3}+3 d^{3} e \,f^{2} x^{2}+3 d^{3} e^{2} f x +3 d^{2} f^{3} x^{2}+d^{3} e^{3}+6 d^{2} e \,f^{2} x +3 d^{2} e^{2} f +6 d \,f^{3} x +6 d e \,f^{2}+6 f^{3}\right) {\mathrm e}^{-d x -c}}{2 a \,d^{4}}+\frac{2 x^{3} f^{3}+6 e \,f^{2} x^{2}+6 e^{2} f x +2 e^{3}}{d a \left({\mathrm e}^{d x +c}-i\right)}+\frac{i \left(4 f^{3} x^{3} d^{3}+12 d^{3} e \,f^{2} x^{2}+12 d^{3} e^{2} f x +6 d^{2} f^{3} x^{2}+4 d^{3} e^{3}+12 d^{2} e \,f^{2} x +6 d^{2} e^{2} f +6 d \,f^{3} x +6 d e \,f^{2}+3 f^{3}\right) {\mathrm e}^{-2 d x -2 c}}{32 a \,d^{4}}-\frac{i \left(4 f^{3} x^{3} d^{3}+12 d^{3} e \,f^{2} x^{2}+12 d^{3} e^{2} f x -6 d^{2} f^{3} x^{2}+4 d^{3} e^{3}-12 d^{2} e \,f^{2} x -6 d^{2} e^{2} f +6 d \,f^{3} x +6 d e \,f^{2}-3 f^{3}\right) {\mathrm e}^{2 d x +2 c}}{32 a \,d^{4}}-\frac{12 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{9 i e^{2} f \,x^{2}}{4 a}+\frac{3 i e \,f^{2} x^{3}}{2 a}-\frac{2 i f^{3} x^{3}}{a d}+\frac{4 i f^{3} c^{3}}{a \,d^{4}}"," ",0,"-12*I/a/d^3*e*f^2*c*ln(exp(d*x+c)-I)-12*I/a/d^2*e*f^2*c*x+2*(f^3*x^3+3*e*f^2*x^2+3*e^2*f*x+e^3)/d/a/(exp(d*x+c)-I)-6*I/a/d^4*f^3*c^2*ln(exp(d*x+c))+6*I/a/d^2*ln(exp(d*x+c)-I)*e^2*f-6*I/a/d^4*f^3*c^2*ln(1+I*exp(d*x+c))+6*I/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2-6*I/a/d^2*ln(exp(d*x+c))*e^2*f+6*I/a/d^3*f^3*c^2*x-6*I/a/d*e*f^2*x^2+12*I/a/d^3*e*f^2*polylog(2,-I*exp(d*x+c))-6*I/a/d^3*e*f^2*c^2+12*I/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x+6*I/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)-12*I*f^3*polylog(3,-I*exp(d*x+c))/a/d^4+12*I/a/d^2*e*f^2*ln(1+I*exp(d*x+c))*x+12*I/a/d^3*e*f^2*ln(1+I*exp(d*x+c))*c+12*I/a/d^3*e*f^2*c*ln(exp(d*x+c))-2*I/a/d*f^3*x^3+4*I/a/d^4*f^3*c^3+1/32*I*(4*d^3*f^3*x^3+12*d^3*e*f^2*x^2+12*d^3*e^2*f*x+6*d^2*f^3*x^2+4*d^3*e^3+12*d^2*e*f^2*x+6*d^2*e^2*f+6*d*f^3*x+6*d*e*f^2+3*f^3)/a/d^4*exp(-2*d*x-2*c)+3/2*I/a*e*f^2*x^3+9/4*I/a*e^2*f*x^2+3/8*I/a*x^4*f^3+3/2*I/a*e^3*x-1/32*I*(4*d^3*f^3*x^3+12*d^3*e*f^2*x^2+12*d^3*e^2*f*x-6*d^2*f^3*x^2+4*d^3*e^3-12*d^2*e*f^2*x-6*d^2*e^2*f+6*d*f^3*x+6*d*e*f^2-3*f^3)/a/d^4*exp(2*d*x+2*c)+1/2*(d^3*f^3*x^3+3*d^3*e*f^2*x^2+3*d^3*e^2*f*x-3*d^2*f^3*x^2+d^3*e^3-6*d^2*e*f^2*x-3*d^2*e^2*f+6*d*f^3*x+6*d*e*f^2-6*f^3)/a/d^4*exp(d*x+c)+1/2*(d^3*f^3*x^3+3*d^3*e*f^2*x^2+3*d^3*e^2*f*x+3*d^2*f^3*x^2+d^3*e^3+6*d^2*e*f^2*x+3*d^2*e^2*f+6*d*f^3*x+6*d*e*f^2+6*f^3)/a/d^4*exp(-d*x-c)","B"
200,1,508,257,0.222000," ","int((f*x+e)^2*sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{4 i \ln \left({\mathrm e}^{d x +c}-i\right) e f}{a \,d^{2}}+\frac{3 i e^{2} x}{2 a}+\frac{\left(d^{2} f^{2} x^{2}+2 d^{2} e f x +d^{2} e^{2}-2 d \,f^{2} x -2 d e f +2 f^{2}\right) {\mathrm e}^{d x +c}}{2 a \,d^{3}}+\frac{\left(d^{2} f^{2} x^{2}+2 d^{2} e f x +d^{2} e^{2}+2 d \,f^{2} x +2 d e f +2 f^{2}\right) {\mathrm e}^{-d x -c}}{2 a \,d^{3}}+\frac{i x^{3} f^{2}}{2 a}+\frac{2 x^{2} f^{2}+4 e f x +2 e^{2}}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{4 i f^{2} c x}{a \,d^{2}}+\frac{4 i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{4 i \ln \left({\mathrm e}^{d x +c}\right) e f}{a \,d^{2}}-\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{3 i e f \,x^{2}}{2 a}-\frac{2 i f^{2} c^{2}}{a \,d^{3}}+\frac{i \left(2 d^{2} f^{2} x^{2}+4 d^{2} e f x +2 d^{2} e^{2}+2 d \,f^{2} x +2 d e f +f^{2}\right) {\mathrm e}^{-2 d x -2 c}}{16 a \,d^{3}}-\frac{2 i f^{2} x^{2}}{a d}+\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{i \left(2 d^{2} f^{2} x^{2}+4 d^{2} e f x +2 d^{2} e^{2}-2 d \,f^{2} x -2 d e f +f^{2}\right) {\mathrm e}^{2 d x +2 c}}{16 a \,d^{3}}"," ",0,"4*I/a/d^3*f^2*c*ln(exp(d*x+c))+4*I/a/d^2*f^2*ln(1+I*exp(d*x+c))*x+4*I/a/d^2*ln(exp(d*x+c)-I)*e*f+3/2*I/a*e^2*x+1/2*(d^2*f^2*x^2+2*d^2*e*f*x+d^2*e^2-2*d*f^2*x-2*d*e*f+2*f^2)/a/d^3*exp(d*x+c)+1/2*(d^2*f^2*x^2+2*d^2*e*f*x+d^2*e^2+2*d*f^2*x+2*d*e*f+2*f^2)/a/d^3*exp(-d*x-c)+1/2*I/a*x^3*f^2+2*(f^2*x^2+2*e*f*x+e^2)/d/a/(exp(d*x+c)-I)-4*I/a/d^2*f^2*c*x-4*I/a/d^2*ln(exp(d*x+c))*e*f-4*I/a/d^3*f^2*c*ln(exp(d*x+c)-I)+3/2*I/a*e*f*x^2-2*I/a/d^3*f^2*c^2+1/16*I*(2*d^2*f^2*x^2+4*d^2*e*f*x+2*d^2*e^2+2*d*f^2*x+2*d*e*f+f^2)/a/d^3*exp(-2*d*x-2*c)-2*I/a/d*f^2*x^2+4*I*f^2*polylog(2,-I*exp(d*x+c))/a/d^3+4*I/a/d^3*f^2*ln(1+I*exp(d*x+c))*c-1/16*I*(2*d^2*f^2*x^2+4*d^2*e*f*x+2*d^2*e^2-2*d*f^2*x-2*d*e*f+f^2)/a/d^3*exp(2*d*x+2*c)","A"
201,1,197,147,0.185000," ","int((f*x+e)*sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{3 i f \,x^{2}}{4 a}+\frac{3 i e x}{2 a}-\frac{i \left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 a \,d^{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{i \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 a \,d^{2}}-\frac{2 i f x}{a d}-\frac{2 i f c}{a \,d^{2}}+\frac{2 f x +2 e}{d a \left({\mathrm e}^{d x +c}-i\right)}+\frac{2 i f \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{2}}"," ",0,"3/4*I*f*x^2/a+3/2*I*e*x/a-1/16*I*(2*d*f*x+2*d*e-f)/a/d^2*exp(2*d*x+2*c)+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)+1/16*I*(2*d*f*x+2*d*e+f)/a/d^2*exp(-2*d*x-2*c)-2*I*f/a/d*x-2*I*f/a/d^2*c+2*(f*x+e)/d/a/(exp(d*x+c)-I)+2*I*f/a/d^2*ln(exp(d*x+c)-I)","A"
202,1,196,76,0.066000," ","int(sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{3 i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d a}-\frac{i}{2 d a \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{i}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{i}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{3 i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d a}+\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{i}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{2 i}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}"," ",0,"-3/2*I/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-1/2*I/d/a/(tanh(1/2*d*x+1/2*c)-1)^2-1/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/2*I/d/a/(tanh(1/2*d*x+1/2*c)-1)+1/2*I/d/a/(tanh(1/2*d*x+1/2*c)+1)^2+3/2*I/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/2*I/d/a/(tanh(1/2*d*x+1/2*c)+1)-2*I/d/a/(-I+tanh(1/2*d*x+1/2*c))","B"
203,0,0,32,0.199000," ","int(sinh(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\sinh^{3}\left(d x +c \right)}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
204,0,0,32,0.227000," ","int(sinh(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\sinh^{3}\left(d x +c \right)}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
205,1,1034,288,0.358000," ","int((f*x+e)^3*csch(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{12 i e \,f^{2} c x}{a \,d^{2}}-\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}+\frac{6 i f^{3} c^{2} x}{a \,d^{3}}-\frac{6 i e \,f^{2} c^{2}}{a \,d^{3}}-\frac{6 i e \,f^{2} x^{2}}{a d}+\frac{12 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}-\frac{6 i \ln \left({\mathrm e}^{d x +c}\right) e^{2} f}{a \,d^{2}}+\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}+\frac{6 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2} f}{a \,d^{2}}-\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{12 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{e^{3} \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}-\frac{e^{3} \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}-\frac{6 f^{3} \polylog \left(4, -{\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{6 f^{3} \polylog \left(4, {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{3 e^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{3 \ln \left(1-{\mathrm e}^{d x +c}\right) c \,e^{2} f}{a \,d^{2}}+\frac{3 e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}+\frac{2 x^{3} f^{3}+6 e \,f^{2} x^{2}+6 e^{2} f x +2 e^{3}}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{12 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{2 i f^{3} x^{3}}{a d}+\frac{4 i f^{3} c^{3}}{a \,d^{4}}-\frac{3 e \,f^{2} c^{2} \ln \left(1-{\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{3 e \,f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{a d}+\frac{3 e \,f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{a d}-\frac{3 \ln \left({\mathrm e}^{d x +c}+1\right) e^{2} f x}{a d}+\frac{3 \ln \left(1-{\mathrm e}^{d x +c}\right) e^{2} f x}{a d}-\frac{6 e \,f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{6 e \,f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{f^{3} \ln \left({\mathrm e}^{d x +c}+1\right) x^{3}}{a d}-\frac{f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{4}}+\frac{f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{3}}{a d}+\frac{f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) c^{3}}{a \,d^{4}}+\frac{6 e \,f^{2} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{6 e \,f^{2} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{3 f^{3} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}+\frac{6 f^{3} \polylog \left(3, -{\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{3 f^{3} \polylog \left(2, {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{6 f^{3} \polylog \left(3, {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{3 e^{2} f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{3 e^{2} f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}"," ",0,"-12*I/a/d^3*e*f^2*c*ln(exp(d*x+c)-I)-12*I/a/d^2*e*f^2*c*x-6*f^3*polylog(4,-exp(d*x+c))/a/d^4+6*f^3*polylog(4,exp(d*x+c))/a/d^4+2*(f^3*x^3+3*e*f^2*x^2+3*e^2*f*x+e^3)/d/a/(exp(d*x+c)-I)-6*I/a/d^4*f^3*c^2*ln(exp(d*x+c))+6*I/a/d^2*ln(exp(d*x+c)-I)*e^2*f-6*I/a/d^4*f^3*c^2*ln(1+I*exp(d*x+c))+6*I/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2-6*I/a/d^2*ln(exp(d*x+c))*e^2*f+6*I/a/d^3*f^3*c^2*x-6*I/a/d*e*f^2*x^2+12*I/a/d^3*e*f^2*polylog(2,-I*exp(d*x+c))-6*I/a/d^3*e*f^2*c^2+12*I/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x+6*I/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)-12*I*f^3*polylog(3,-I*exp(d*x+c))/a/d^4+12*I/a/d^2*e*f^2*ln(1+I*exp(d*x+c))*x+12*I/a/d^3*e*f^2*ln(1+I*exp(d*x+c))*c+12*I/a/d^3*e*f^2*c*ln(exp(d*x+c))-2*I/a/d*f^3*x^3+4*I/a/d^4*f^3*c^3+1/a/d*e^3*ln(exp(d*x+c)-1)-1/a/d*e^3*ln(exp(d*x+c)+1)-3/a/d^2*e^2*f*c*ln(exp(d*x+c)-1)+3/a/d^2*ln(1-exp(d*x+c))*c*e^2*f+3/a/d^3*e*f^2*c^2*ln(exp(d*x+c)-1)-3/a/d^3*e*f^2*c^2*ln(1-exp(d*x+c))-3/a/d*e*f^2*ln(exp(d*x+c)+1)*x^2-6/a/d^2*e*f^2*polylog(2,-exp(d*x+c))*x+3/a/d*e*f^2*ln(1-exp(d*x+c))*x^2+6/a/d^2*e*f^2*polylog(2,exp(d*x+c))*x-3/a/d*ln(exp(d*x+c)+1)*e^2*f*x+3/a/d*ln(1-exp(d*x+c))*e^2*f*x-1/a/d*f^3*ln(exp(d*x+c)+1)*x^3+6/a/d^3*e*f^2*polylog(3,-exp(d*x+c))-6/a/d^3*e*f^2*polylog(3,exp(d*x+c))-1/a/d^4*f^3*c^3*ln(exp(d*x+c)-1)-3/a/d^2*f^3*polylog(2,-exp(d*x+c))*x^2+6/a/d^3*f^3*polylog(3,-exp(d*x+c))*x+1/a/d*f^3*ln(1-exp(d*x+c))*x^3+1/a/d^4*f^3*ln(1-exp(d*x+c))*c^3+3/a/d^2*f^3*polylog(2,exp(d*x+c))*x^2-6/a/d^3*f^3*polylog(3,exp(d*x+c))*x-3/a/d^2*e^2*f*polylog(2,-exp(d*x+c))+3/a/d^2*e^2*f*polylog(2,exp(d*x+c))","B"
206,1,573,204,0.213000," ","int((f*x+e)^2*csch(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{4 i \ln \left({\mathrm e}^{d x +c}-i\right) e f}{a \,d^{2}}-\frac{4 i \ln \left({\mathrm e}^{d x +c}\right) e f}{a \,d^{2}}-\frac{4 i f^{2} c x}{a \,d^{2}}+\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{2 \ln \left(1-{\mathrm e}^{d x +c}\right) e f x}{a d}+\frac{2 \ln \left(1-{\mathrm e}^{d x +c}\right) c e f}{a \,d^{2}}-\frac{2 e f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{2 \ln \left({\mathrm e}^{d x +c}+1\right) e f x}{a d}+\frac{2 f^{2} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{2 f^{2} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{f^{2} c^{2} \ln \left(1-{\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{a d}+\frac{f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{a d}-\frac{e^{2} \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{e^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{2 e f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}-\frac{2 f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{2 f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{2 e f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{2 x^{2} f^{2}+4 e f x +2 e^{2}}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{2 i f^{2} x^{2}}{a d}-\frac{2 i f^{2} c^{2}}{a \,d^{3}}+\frac{4 i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}"," ",0,"2/a/d*ln(1-exp(d*x+c))*e*f*x+2/a/d^2*ln(1-exp(d*x+c))*c*e*f-2/a/d^2*e*f*c*ln(exp(d*x+c)-1)+4*I/a/d^2*ln(exp(d*x+c)-I)*e*f-4*I/a/d^2*ln(exp(d*x+c))*e*f-4*I/a/d^2*f^2*c*x+4*I/a/d^2*f^2*ln(1+I*exp(d*x+c))*x+4*I/a/d^3*f^2*ln(1+I*exp(d*x+c))*c-4*I/a/d^3*f^2*c*ln(exp(d*x+c)-I)+4*I/a/d^3*f^2*c*ln(exp(d*x+c))-2/a/d*ln(exp(d*x+c)+1)*e*f*x+2*f^2*polylog(3,-exp(d*x+c))/a/d^3-2*f^2*polylog(3,exp(d*x+c))/a/d^3+4*I*f^2*polylog(2,-I*exp(d*x+c))/a/d^3+2*(f^2*x^2+2*e*f*x+e^2)/d/a/(exp(d*x+c)-I)-1/a/d^3*f^2*c^2*ln(1-exp(d*x+c))-1/a/d*f^2*ln(exp(d*x+c)+1)*x^2-2/a/d^2*f^2*polylog(2,-exp(d*x+c))*x+1/a/d*f^2*ln(1-exp(d*x+c))*x^2+2/a/d^2*f^2*polylog(2,exp(d*x+c))*x-1/a/d*e^2*ln(exp(d*x+c)+1)+1/a/d*e^2*ln(exp(d*x+c)-1)-2*I/a/d*f^2*x^2-2*I/a/d^3*f^2*c^2+1/a/d^3*f^2*c^2*ln(exp(d*x+c)-1)-2/a/d^2*e*f*polylog(2,-exp(d*x+c))+2/a/d^2*e*f*polylog(2,exp(d*x+c))","B"
207,1,211,107,0.228000," ","int((f*x+e)*csch(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{2 f x +2 e}{d a \left({\mathrm e}^{d x +c}-i\right)}-\frac{2 i f \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}-\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}+\frac{\ln \left(1-{\mathrm e}^{d x +c}\right) f x}{a d}+\frac{\ln \left(1-{\mathrm e}^{d x +c}\right) c f}{a \,d^{2}}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{2 i f \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{2}}"," ",0,"2*(f*x+e)/d/a/(exp(d*x+c)-I)-2*I/a/d^2*f*ln(exp(d*x+c))-1/a/d*e*ln(exp(d*x+c)+1)+1/a/d*e*ln(exp(d*x+c)-1)-1/a/d*ln(exp(d*x+c)+1)*f*x+1/a/d*ln(1-exp(d*x+c))*f*x+1/a/d^2*ln(1-exp(d*x+c))*c*f-1/a/d^2*f*c*ln(exp(d*x+c)-1)-f*polylog(2,-exp(d*x+c))/a/d^2+f*polylog(2,exp(d*x+c))/a/d^2+2*I*f/a/d^2*ln(exp(d*x+c)-I)","A"
208,1,42,40,0.075000," ","int(csch(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{2 i}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-2*I/d/a/(-I+tanh(1/2*d*x+1/2*c))+1/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
209,0,0,30,0.972000," ","int(csch(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
210,0,0,30,1.862000," ","int(csch(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
211,1,1535,390,0.372000," ","int((f*x+e)^3*csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{6 e \,f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x}{a \,d^{2}}+\frac{12 f^{2} e \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{12 f^{2} e \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{12 f^{2} e c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}+\frac{24 f^{2} e c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{24 f^{2} e c x}{a \,d^{2}}+\frac{i f^{3} \ln \left({\mathrm e}^{d x +c}+1\right) x^{3}}{a d}+\frac{i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{4}}-\frac{2 i \left(f^{3} x^{3} {\mathrm e}^{2 d x +2 c}+3 e \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+3 e^{2} f x \,{\mathrm e}^{2 d x +2 c}-2 x^{3} f^{3}-i {\mathrm e}^{d x +c} f^{3} x^{3}+e^{3} {\mathrm e}^{2 d x +2 c}-6 e \,f^{2} x^{2}-3 i {\mathrm e}^{d x +c} e \,f^{2} x^{2}-6 e^{2} f x -3 i {\mathrm e}^{d x +c} e^{2} f x -2 e^{3}-i {\mathrm e}^{d x +c} e^{3}\right)}{\left({\mathrm e}^{2 d x +2 c}-1\right) \left({\mathrm e}^{d x +c}-i\right) d a}-\frac{i f^{3} c^{3} \ln \left(1-{\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{i f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{3}}{a d}+\frac{3 i e^{2} f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{3 i e^{2} f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{3 i f^{3} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{6 i f^{3} \polylog \left(3, -{\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{3 i f^{3} \polylog \left(2, {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}+\frac{6 i f^{3} \polylog \left(3, {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{6 i e \,f^{2} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 i e \,f^{2} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{4 f^{3} x^{3}}{a d}+\frac{8 f^{3} c^{3}}{a \,d^{4}}-\frac{12 f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{6 f^{3} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{6 f^{3} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{3 i e \,f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{a d}+\frac{3 i e \,f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{3}}+\frac{3 i \ln \left({\mathrm e}^{d x +c}+1\right) e^{2} f x}{a d}-\frac{3 i \ln \left(1-{\mathrm e}^{d x +c}\right) e^{2} f x}{a d}-\frac{3 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}-\frac{3 i \ln \left(1-{\mathrm e}^{d x +c}\right) c \,e^{2} f}{a \,d^{2}}+\frac{3 i e^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{6 i e \,f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{6 i e \,f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{3 i e \,f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{a d}-\frac{6 e \,f^{2} c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}+\frac{6 e \,f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{6 e \,f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{12 f \ln \left({\mathrm e}^{d x +c}\right) e^{2}}{a \,d^{2}}+\frac{12 f^{3} c^{2} x}{a \,d^{3}}+\frac{6 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}+\frac{6 f \ln \left({\mathrm e}^{d x +c}-i\right) e^{2}}{a \,d^{2}}+\frac{12 f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{12 f^{2} e \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{6 f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}-\frac{12 f^{2} e \,c^{2}}{a \,d^{3}}-\frac{12 f^{2} e \,x^{2}}{a d}-\frac{12 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{6 e \,f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 e \,f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{6 f^{3} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{6 f^{3} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{6 i f^{3} \polylog \left(4, -{\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{6 i f^{3} \polylog \left(4, {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{i e^{3} \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}-\frac{i e^{3} \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{3 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{4}}+\frac{3 e^{2} f \ln \left({\mathrm e}^{d x +c}+1\right)}{a \,d^{2}}+\frac{3 e^{2} f \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{3 f^{3} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{a \,d^{2}}+\frac{3 f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}-\frac{3 f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}"," ",0,"6/a/d^2*e*f^2*ln(exp(d*x+c)+1)*x+I/a/d*f^3*ln(exp(d*x+c)+1)*x^3+I/a/d^4*f^3*c^3*ln(exp(d*x+c)-1)+6*I*f^3*polylog(4,-exp(d*x+c))/a/d^4-6*I*f^3*polylog(4,exp(d*x+c))/a/d^4+24/a/d^3*f^2*e*c*ln(exp(d*x+c))+12/a/d^2*f^2*e*ln(1+I*exp(d*x+c))*x+12/a/d^3*f^2*e*ln(1+I*exp(d*x+c))*c-24/a/d^2*f^2*e*c*x-12/a/d^3*f^2*e*c*ln(exp(d*x+c)-I)-12*f^3*polylog(3,-I*exp(d*x+c))/a/d^4-6*f^3*polylog(3,-exp(d*x+c))/a/d^4-6*f^3*polylog(3,exp(d*x+c))/a/d^4-2*I*(f^3*x^3*exp(2*d*x+2*c)+3*e*f^2*x^2*exp(2*d*x+2*c)+3*e^2*f*x*exp(2*d*x+2*c)-2*x^3*f^3-I*exp(d*x+c)*f^3*x^3+e^3*exp(2*d*x+2*c)-6*e*f^2*x^2-3*I*exp(d*x+c)*e*f^2*x^2-6*e^2*f*x-3*I*exp(d*x+c)*e^2*f*x-2*e^3-I*exp(d*x+c)*e^3)/(exp(2*d*x+2*c)-1)/(exp(d*x+c)-I)/d/a-4/a/d*f^3*x^3+8/a/d^4*f^3*c^3+3*I/a/d*e*f^2*ln(exp(d*x+c)+1)*x^2+6*I/a/d^2*e*f^2*polylog(2,-exp(d*x+c))*x-3*I/a/d*e*f^2*ln(1-exp(d*x+c))*x^2+3*I/a/d^3*e*f^2*ln(1-exp(d*x+c))*c^2-6*I/a/d^2*e*f^2*polylog(2,exp(d*x+c))*x+3*I/a/d*ln(exp(d*x+c)+1)*e^2*f*x-3*I/a/d*ln(1-exp(d*x+c))*e^2*f*x-3*I/a/d^3*e*f^2*c^2*ln(exp(d*x+c)-1)-3*I/a/d^2*ln(1-exp(d*x+c))*c*e^2*f+3*I/a/d^2*e^2*f*c*ln(exp(d*x+c)-1)-6/a/d^3*e*f^2*c*ln(exp(d*x+c)-1)+6/a/d^2*e*f^2*ln(1-exp(d*x+c))*x+6/a/d^3*e*f^2*ln(1-exp(d*x+c))*c+3*I/a/d^2*e^2*f*polylog(2,-exp(d*x+c))-3*I/a/d^2*e^2*f*polylog(2,exp(d*x+c))-I/a/d^4*f^3*c^3*ln(1-exp(d*x+c))+3*I/a/d^2*f^3*polylog(2,-exp(d*x+c))*x^2-6*I/a/d^3*f^3*polylog(3,-exp(d*x+c))*x-I/a/d*f^3*ln(1-exp(d*x+c))*x^3-3*I/a/d^2*f^3*polylog(2,exp(d*x+c))*x^2+6*I/a/d^3*f^3*polylog(3,exp(d*x+c))*x-6*I/a/d^3*e*f^2*polylog(3,-exp(d*x+c))+6*I/a/d^3*e*f^2*polylog(3,exp(d*x+c))+12/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x+6/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)-12/a/d^2*f*ln(exp(d*x+c))*e^2+12/a/d^3*f^3*c^2*x+6/a/d^2*f*ln(exp(d*x+c)-I)*e^2-12/a/d^3*f^2*e*c^2-12/a/d*f^2*e*x^2+12/a/d^3*f^2*e*polylog(2,-I*exp(d*x+c))-12/a/d^4*f^3*c^2*ln(exp(d*x+c))+6/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2-6/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^2+3/a/d^4*f^3*c^2*ln(exp(d*x+c)-1)+6/a/d^3*e*f^2*polylog(2,-exp(d*x+c))+6/a/d^3*e*f^2*polylog(2,exp(d*x+c))+3/a/d^2*e^2*f*ln(exp(d*x+c)+1)+3/a/d^2*e^2*f*ln(exp(d*x+c)-1)+3/a/d^2*f^3*ln(exp(d*x+c)+1)*x^2+3/a/d^2*f^3*ln(1-exp(d*x+c))*x^2-3/a/d^4*f^3*ln(1-exp(d*x+c))*c^2+6/a/d^3*f^3*polylog(2,exp(d*x+c))*x+6/a/d^3*f^3*polylog(2,-exp(d*x+c))*x+I/a/d*e^3*ln(exp(d*x+c)+1)-I/a/d*e^3*ln(exp(d*x+c)-1)","B"
212,1,847,275,0.250000," ","int((f*x+e)^2*csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{4 f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{4 f^{2} c^{2}}{a \,d^{3}}-\frac{2 i \ln \left(1-{\mathrm e}^{d x +c}\right) e f x}{a d}+\frac{2 i e f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{2 i \ln \left({\mathrm e}^{d x +c}+1\right) e f x}{a d}-\frac{2 i \ln \left(1-{\mathrm e}^{d x +c}\right) c e f}{a \,d^{2}}-\frac{2 i \left(f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+2 e f x \,{\mathrm e}^{2 d x +2 c}+e^{2} {\mathrm e}^{2 d x +2 c}-2 x^{2} f^{2}-i f^{2} x^{2} {\mathrm e}^{d x +c}-4 e f x -2 i {\mathrm e}^{d x +c} e f x -2 e^{2}-i {\mathrm e}^{d x +c} e^{2}\right)}{\left({\mathrm e}^{2 d x +2 c}-1\right) \left({\mathrm e}^{d x +c}-i\right) d a}-\frac{i f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}+\frac{i f^{2} c^{2} \ln \left(1-{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{i f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{a d}-\frac{2 i e f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{i f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{a d}+\frac{2 i f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{2 i f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{2 i e f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{4 f^{2} x^{2}}{a d}+\frac{2 e f \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{2 i f^{2} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{2 i f^{2} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{i e^{2} \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}-\frac{i e^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{2 f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x}{a \,d^{2}}+\frac{2 f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{2 f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{2 f^{2} c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}+\frac{2 e f \ln \left({\mathrm e}^{d x +c}+1\right)}{a \,d^{2}}+\frac{4 f \ln \left({\mathrm e}^{d x +c}-i\right) e}{a \,d^{2}}+\frac{4 f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{4 f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{4 f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{8 f \ln \left({\mathrm e}^{d x +c}\right) e}{a \,d^{2}}-\frac{8 f^{2} c x}{a \,d^{2}}+\frac{8 f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{2 f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{2 f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}"," ",0,"2*I*f^2*polylog(3,exp(d*x+c))/a/d^3-4/a/d^3*f^2*c^2-2*I/a/d^2*ln(1-exp(d*x+c))*c*e*f+2*I/a/d*ln(exp(d*x+c)+1)*e*f*x-2*I/a/d*ln(1-exp(d*x+c))*e*f*x+2*I/a/d^2*e*f*c*ln(exp(d*x+c)-1)-2*I*f^2*polylog(3,-exp(d*x+c))/a/d^3+2*I/a/d^2*f^2*polylog(2,-exp(d*x+c))*x-I/a/d*f^2*ln(1-exp(d*x+c))*x^2-2*I/a/d^2*f^2*polylog(2,exp(d*x+c))*x-I/a/d^3*f^2*c^2*ln(exp(d*x+c)-1)+2*I/a/d^2*e*f*polylog(2,-exp(d*x+c))-2*I/a/d^2*e*f*polylog(2,exp(d*x+c))+4*f^2*polylog(2,-I*exp(d*x+c))/a/d^3+2*f^2*polylog(2,-exp(d*x+c))/a/d^3+2*f^2*polylog(2,exp(d*x+c))/a/d^3-4*f^2*x^2/a/d+I/a/d^3*f^2*c^2*ln(1-exp(d*x+c))+I/a/d*f^2*ln(exp(d*x+c)+1)*x^2-2*I*(f^2*x^2*exp(2*d*x+2*c)+2*e*f*x*exp(2*d*x+2*c)+e^2*exp(2*d*x+2*c)-2*x^2*f^2-I*f^2*x^2*exp(d*x+c)-4*e*f*x-2*I*exp(d*x+c)*e*f*x-2*e^2-I*exp(d*x+c)*e^2)/(exp(2*d*x+2*c)-1)/(exp(d*x+c)-I)/d/a+2/a/d^2*e*f*ln(exp(d*x+c)-1)+2/a/d^2*f^2*ln(exp(d*x+c)+1)*x+2/a/d^2*f^2*ln(1-exp(d*x+c))*x+2/a/d^3*f^2*ln(1-exp(d*x+c))*c-2/a/d^3*f^2*c*ln(exp(d*x+c)-1)+2/a/d^2*e*f*ln(exp(d*x+c)+1)+I/a/d*e^2*ln(exp(d*x+c)+1)-I/a/d*e^2*ln(exp(d*x+c)-1)+4/a/d^2*f*ln(exp(d*x+c)-I)*e-8/a/d^2*f*ln(exp(d*x+c))*e-8/a/d^2*f^2*c*x+4/a/d^2*f^2*ln(1+I*exp(d*x+c))*x+4/a/d^3*f^2*ln(1+I*exp(d*x+c))*c-4/a/d^3*f^2*c*ln(exp(d*x+c)-I)+8/a/d^3*f^2*c*ln(exp(d*x+c))","B"
213,1,316,143,0.249000," ","int((f*x+e)*csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","-\frac{2 i \left(f x \,{\mathrm e}^{2 d x +2 c}+e \,{\mathrm e}^{2 d x +2 c}-2 f x -i {\mathrm e}^{d x +c} f x -2 e -i {\mathrm e}^{d x +c} e \right)}{\left({\mathrm e}^{2 d x +2 c}-1\right) \left({\mathrm e}^{d x +c}-i\right) d a}+\frac{i e \ln \left({\mathrm e}^{d x +c}+1\right)}{d a}-\frac{i e \ln \left({\mathrm e}^{d x +c}-1\right)}{d a}+\frac{i \ln \left({\mathrm e}^{d x +c}+1\right) f x}{d a}-\frac{i \ln \left(1-{\mathrm e}^{d x +c}\right) f x}{d a}-\frac{i \ln \left(1-{\mathrm e}^{d x +c}\right) c f}{d^{2} a}+\frac{i f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{i f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{2 f \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{2}}+\frac{f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{4 f \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{i f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}"," ",0,"-2*I*(f*x*exp(2*d*x+2*c)+e*exp(2*d*x+2*c)-2*f*x-I*exp(d*x+c)*f*x-2*e-I*exp(d*x+c)*e)/(exp(2*d*x+2*c)-1)/(exp(d*x+c)-I)/d/a+I/d/a*e*ln(exp(d*x+c)+1)-I/d/a*e*ln(exp(d*x+c)-1)+I/d/a*ln(exp(d*x+c)+1)*f*x-I/d/a*ln(1-exp(d*x+c))*f*x-I/d^2/a*ln(1-exp(d*x+c))*c*f+I*f*polylog(2,-exp(d*x+c))/a/d^2-I*f*polylog(2,exp(d*x+c))/a/d^2+2*f/a/d^2*ln(exp(d*x+c)-I)+1/d^2/a*f*ln(exp(d*x+c)+1)-4/d^2/a*f*ln(exp(d*x+c))+1/d^2/a*f*ln(exp(d*x+c)-1)+I/d^2/a*f*c*ln(exp(d*x+c)-1)","B"
214,1,79,55,0.075000," ","int(csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}-\frac{2}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)-2/d/a/(-I+tanh(1/2*d*x+1/2*c))-1/2/d/a/tanh(1/2*d*x+1/2*c)-I/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
215,0,0,32,0.649000," ","int(csch(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
216,0,0,32,1.672000," ","int(csch(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{2}}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
217,1,2058,504,0.387000," ","int((f*x+e)^3*csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{24 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{24 i e \,f^{2} c x}{a \,d^{2}}+\frac{12 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{12 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{12 i f^{3} c^{2} x}{a \,d^{3}}+\frac{12 i e \,f^{2} c^{2}}{a \,d^{3}}+\frac{12 i e \,f^{2} x^{2}}{a d}-\frac{12 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{6 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}+\frac{12 i \ln \left({\mathrm e}^{d x +c}\right) e^{2} f}{a \,d^{2}}-\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}+\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}-\frac{6 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2} f}{a \,d^{2}}+\frac{12 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{12 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{-6 i e \,f^{2} x \,{\mathrm e}^{3 d x +3 c}+4 d \,e^{3}-5 d \,e^{3} {\mathrm e}^{2 d x +2 c}-3 f^{3} x^{2} {\mathrm e}^{2 d x +2 c}-3 e^{2} f \,{\mathrm e}^{2 d x +2 c}+12 d e \,f^{2} x^{2}+12 d \,e^{2} f x +4 d \,f^{3} x^{3}+3 i d e \,f^{2} x^{2} {\mathrm e}^{d x +c}-9 i d \,e^{2} f x \,{\mathrm e}^{3 d x +3 c}-9 i d e \,f^{2} x^{2} {\mathrm e}^{3 d x +3 c}+3 i d \,e^{2} f x \,{\mathrm e}^{d x +c}+3 d \,f^{3} x^{3} {\mathrm e}^{4 d x +4 c}+6 e \,f^{2} x \,{\mathrm e}^{4 d x +4 c}+3 d \,e^{3} {\mathrm e}^{4 d x +4 c}+3 e^{2} f \,{\mathrm e}^{4 d x +4 c}+3 f^{3} x^{2} {\mathrm e}^{4 d x +4 c}-5 d \,f^{3} x^{3} {\mathrm e}^{2 d x +2 c}-6 e \,f^{2} x \,{\mathrm e}^{2 d x +2 c}+3 i {\mathrm e}^{d x +c} e^{2} f -3 i f^{3} x^{2} {\mathrm e}^{3 d x +3 c}-3 i d \,e^{3} {\mathrm e}^{3 d x +3 c}+3 i f^{3} x^{2} {\mathrm e}^{d x +c}+i d \,e^{3} {\mathrm e}^{d x +c}-3 i e^{2} f \,{\mathrm e}^{3 d x +3 c}+9 d e \,f^{2} x^{2} {\mathrm e}^{4 d x +4 c}+9 d \,e^{2} f x \,{\mathrm e}^{4 d x +4 c}-15 d e \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}-15 d \,e^{2} f x \,{\mathrm e}^{2 d x +2 c}+i d \,f^{3} x^{3} {\mathrm e}^{d x +c}+6 i e \,f^{2} x \,{\mathrm e}^{d x +c}-3 i d \,f^{3} x^{3} {\mathrm e}^{3 d x +3 c}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{2} d^{2} \left({\mathrm e}^{d x +c}-i\right) a}+\frac{6 i f^{3} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{6 i f^{3} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{3 e^{3} \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a d}+\frac{3 e^{3} \ln \left({\mathrm e}^{d x +c}+1\right)}{2 a d}+\frac{9 f^{3} \polylog \left(4, -{\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{9 f^{3} \polylog \left(4, {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{9 e^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{2}}-\frac{9 \ln \left(1-{\mathrm e}^{d x +c}\right) c \,e^{2} f}{2 a \,d^{2}}-\frac{9 e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{3}}-\frac{6 i \ln \left({\mathrm e}^{d x +c}+1\right) e \,f^{2} x}{a \,d^{2}}-\frac{6 i \ln \left(1-{\mathrm e}^{d x +c}\right) c e \,f^{2}}{a \,d^{3}}+\frac{6 i e \,f^{2} c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}-\frac{6 i \ln \left(1-{\mathrm e}^{d x +c}\right) e \,f^{2} x}{a \,d^{2}}-\frac{3 i e^{2} f \ln \left({\mathrm e}^{d x +c}+1\right)}{a \,d^{2}}-\frac{3 i e^{2} f \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{3 i f^{3} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{a \,d^{2}}-\frac{3 i f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{a \,d^{2}}+\frac{3 i f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) c^{2}}{a \,d^{4}}-\frac{6 i e \,f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{6 i e \,f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{6 i f^{3} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{6 i f^{3} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{3 i f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{4}}+\frac{12 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{4 i f^{3} x^{3}}{a d}-\frac{8 i f^{3} c^{3}}{a \,d^{4}}+\frac{9 e \,f^{2} c^{2} \ln \left(1-{\mathrm e}^{d x +c}\right)}{2 a \,d^{3}}+\frac{9 e \,f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{2 a d}-\frac{9 e \,f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{2 a d}+\frac{9 \ln \left({\mathrm e}^{d x +c}+1\right) e^{2} f x}{2 a d}-\frac{9 \ln \left(1-{\mathrm e}^{d x +c}\right) e^{2} f x}{2 a d}+\frac{9 e \,f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{9 e \,f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{3 f^{3} \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{3 f^{3} \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{3 f^{3} c \ln \left(1-{\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{3 e \,f^{2} \ln \left({\mathrm e}^{d x +c}+1\right)}{a \,d^{3}}+\frac{3 e \,f^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{3}}-\frac{3 f^{3} \ln \left({\mathrm e}^{d x +c}+1\right) x}{a \,d^{3}}+\frac{3 f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{3 f^{3} \ln \left({\mathrm e}^{d x +c}+1\right) x^{3}}{2 a d}+\frac{3 f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{4}}-\frac{3 f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{3}}{2 a d}-\frac{3 f^{3} \ln \left(1-{\mathrm e}^{d x +c}\right) c^{3}}{2 a \,d^{4}}-\frac{9 e \,f^{2} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{9 e \,f^{2} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{9 f^{3} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x^{2}}{2 a \,d^{2}}-\frac{9 f^{3} \polylog \left(3, -{\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{9 f^{3} \polylog \left(2, {\mathrm e}^{d x +c}\right) x^{2}}{2 a \,d^{2}}+\frac{9 f^{3} \polylog \left(3, {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{9 e^{2} f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}-\frac{9 e^{2} f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}-\frac{3 f^{3} c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{4}}"," ",0,"-12*I/a/d^2*e*f^2*ln(1+I*exp(d*x+c))*x-12*I/a/d^3*e*f^2*ln(1+I*exp(d*x+c))*c+12*I/a/d^3*e*f^2*c*ln(exp(d*x+c)-I)-12*I/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x-6*I/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2+6*I/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^2-6*I/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)-12*I/a/d^3*e*f^2*polylog(2,-I*exp(d*x+c))-6*I/a/d^2*ln(exp(d*x+c)-I)*e^2*f-3*f^3*polylog(2,-exp(d*x+c))/a/d^4+3*f^3*polylog(2,exp(d*x+c))/a/d^4+9*f^3*polylog(4,-exp(d*x+c))/a/d^4-9*f^3*polylog(4,exp(d*x+c))/a/d^4+12*I*f^3*polylog(3,-I*exp(d*x+c))/a/d^4-3/2/a/d*e^3*ln(exp(d*x+c)-1)+3/2/a/d*e^3*ln(exp(d*x+c)+1)+9/2/a/d^2*e^2*f*c*ln(exp(d*x+c)-1)-9/2/a/d^2*ln(1-exp(d*x+c))*c*e^2*f-9/2/a/d^3*e*f^2*c^2*ln(exp(d*x+c)-1)+6*I/a/d^3*e*f^2*c*ln(exp(d*x+c)-1)-24*I/a/d^3*e*f^2*c*ln(exp(d*x+c))+24*I/a/d^2*c*e*f^2*x-6*I/a/d^2*ln(1-exp(d*x+c))*e*f^2*x-6*I/a/d^2*ln(exp(d*x+c)+1)*e*f^2*x+12*I/a/d^2*e^2*f*ln(exp(d*x+c))+12*I/a/d^4*f^3*c^2*ln(exp(d*x+c))-3*I/a/d^4*f^3*c^2*ln(exp(d*x+c)-1)-3*I/a/d^2*e^2*f*ln(exp(d*x+c)+1)-3*I/a/d^2*e^2*f*ln(exp(d*x+c)-1)-12*I/a/d^3*f^3*c^2*x+12*I/a/d*e*f^2*x^2-6*I/a/d^3*e*f^2*polylog(2,exp(d*x+c))-6*I/a/d^3*e*f^2*polylog(2,-exp(d*x+c))+12*I/a/d^3*c^2*e*f^2-3*I/a/d^2*f^3*ln(exp(d*x+c)+1)*x^2-3*I/a/d^2*f^3*ln(1-exp(d*x+c))*x^2+3*I/a/d^4*f^3*ln(1-exp(d*x+c))*c^2-6*I/a/d^3*f^3*polylog(2,exp(d*x+c))*x-6*I/a/d^3*f^3*polylog(2,-exp(d*x+c))*x-(4*d*e^3+3*I*exp(d*x+c)*e^2*f-3*I*f^3*x^2*exp(3*d*x+3*c)-3*I*d*e^3*exp(3*d*x+3*c)+I*d*f^3*x^3*exp(d*x+c)-5*d*e^3*exp(2*d*x+2*c)-3*f^3*x^2*exp(2*d*x+2*c)-3*e^2*f*exp(2*d*x+2*c)+3*I*d*e*f^2*x^2*exp(d*x+c)-9*I*d*e^2*f*x*exp(3*d*x+3*c)-9*I*d*e*f^2*x^2*exp(3*d*x+3*c)+3*I*d*e^2*f*x*exp(d*x+c)+12*d*e*f^2*x^2+12*d*e^2*f*x+3*I*f^3*x^2*exp(d*x+c)+4*d*f^3*x^3+6*I*e*f^2*x*exp(d*x+c)+I*d*e^3*exp(d*x+c)-3*I*e^2*f*exp(3*d*x+3*c)+3*d*f^3*x^3*exp(4*d*x+4*c)+6*e*f^2*x*exp(4*d*x+4*c)+3*d*e^3*exp(4*d*x+4*c)+3*e^2*f*exp(4*d*x+4*c)+3*f^3*x^2*exp(4*d*x+4*c)-5*d*f^3*x^3*exp(2*d*x+2*c)-6*e*f^2*x*exp(2*d*x+2*c)-3*I*d*f^3*x^3*exp(3*d*x+3*c)-6*I*e*f^2*x*exp(3*d*x+3*c)+9*d*e*f^2*x^2*exp(4*d*x+4*c)+9*d*e^2*f*x*exp(4*d*x+4*c)-15*d*e*f^2*x^2*exp(2*d*x+2*c)-15*d*e^2*f*x*exp(2*d*x+2*c))/(exp(2*d*x+2*c)-1)^2/d^2/(exp(d*x+c)-I)/a+9/2/a/d^3*e*f^2*c^2*ln(1-exp(d*x+c))+9/2/a/d*e*f^2*ln(exp(d*x+c)+1)*x^2+9/a/d^2*e*f^2*polylog(2,-exp(d*x+c))*x-9/2/a/d*e*f^2*ln(1-exp(d*x+c))*x^2-9/a/d^2*e*f^2*polylog(2,exp(d*x+c))*x+9/2/a/d*ln(exp(d*x+c)+1)*e^2*f*x-9/2/a/d*ln(1-exp(d*x+c))*e^2*f*x-6*I/a/d^3*ln(1-exp(d*x+c))*c*e*f^2+3/a/d^4*f^3*c*ln(1-exp(d*x+c))-3/a/d^3*e*f^2*ln(exp(d*x+c)+1)+3/a/d^3*e*f^2*ln(exp(d*x+c)-1)-3/a/d^3*f^3*ln(exp(d*x+c)+1)*x+3/a/d^3*f^3*ln(1-exp(d*x+c))*x+3/2/a/d*f^3*ln(exp(d*x+c)+1)*x^3-9/a/d^3*e*f^2*polylog(3,-exp(d*x+c))+9/a/d^3*e*f^2*polylog(3,exp(d*x+c))+3/2/a/d^4*f^3*c^3*ln(exp(d*x+c)-1)+9/2/a/d^2*f^3*polylog(2,-exp(d*x+c))*x^2-9/a/d^3*f^3*polylog(3,-exp(d*x+c))*x-3/2/a/d*f^3*ln(1-exp(d*x+c))*x^3-3/2/a/d^4*f^3*ln(1-exp(d*x+c))*c^3-9/2/a/d^2*f^3*polylog(2,exp(d*x+c))*x^2+9/a/d^3*f^3*polylog(3,exp(d*x+c))*x+9/2/a/d^2*e^2*f*polylog(2,-exp(d*x+c))-9/2/a/d^2*e^2*f*polylog(2,exp(d*x+c))-3/a/d^4*f^3*c*ln(exp(d*x+c)-1)+4*I/a/d*f^3*x^3+6*I/a/d^4*f^3*polylog(3,exp(d*x+c))+6*I/a/d^4*f^3*polylog(3,-exp(d*x+c))-8*I/a/d^4*f^3*c^3","B"
218,1,1107,343,0.315000," ","int((f*x+e)^2*csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{4 i \ln \left({\mathrm e}^{d x +c}-i\right) e f}{a \,d^{2}}+\frac{8 i \ln \left({\mathrm e}^{d x +c}\right) e f}{a \,d^{2}}+\frac{8 i f^{2} c x}{a \,d^{2}}-\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{4 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}+\frac{4 i f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{8 i f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{3 \ln \left(1-{\mathrm e}^{d x +c}\right) e f x}{a d}-\frac{3 \ln \left(1-{\mathrm e}^{d x +c}\right) c e f}{a \,d^{2}}+\frac{3 e f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{3 \ln \left({\mathrm e}^{d x +c}+1\right) e f x}{a d}-\frac{3 f^{2} \polylog \left(3, -{\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{3 f^{2} \polylog \left(3, {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{3 f^{2} c^{2} \ln \left(1-{\mathrm e}^{d x +c}\right)}{2 a \,d^{3}}+\frac{3 f^{2} \ln \left({\mathrm e}^{d x +c}+1\right) x^{2}}{2 a d}-\frac{3 f^{2} \ln \left(1-{\mathrm e}^{d x +c}\right) x^{2}}{2 a d}+\frac{3 e^{2} \ln \left({\mathrm e}^{d x +c}+1\right)}{2 a d}-\frac{3 e^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a d}-\frac{3 e f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{3 f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{3}}+\frac{3 f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{3 f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}+\frac{3 e f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{4 i f^{2} x^{2}}{a d}+\frac{4 i f^{2} c^{2}}{a \,d^{3}}-\frac{4 i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{2 i f e \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{2 i f e \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{2 i f^{2} c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{3} a}-\frac{2 i \ln \left(1-{\mathrm e}^{d x +c}\right) c \,f^{2}}{d^{3} a}-\frac{2 i \ln \left({\mathrm e}^{d x +c}+1\right) f^{2} x}{d^{2} a}-\frac{2 i \ln \left(1-{\mathrm e}^{d x +c}\right) f^{2} x}{d^{2} a}-\frac{f^{2} \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{3} a}+\frac{f^{2} \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{3} a}-\frac{2 i f^{2} x \,{\mathrm e}^{d x +c}-2 i e f \,{\mathrm e}^{3 d x +3 c}-10 d e f x \,{\mathrm e}^{2 d x +2 c}+6 d e f x \,{\mathrm e}^{4 d x +4 c}+2 i d e f x \,{\mathrm e}^{d x +c}+i d \,e^{2} {\mathrm e}^{d x +c}+4 d \,e^{2}-5 d \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}-6 i d e f x \,{\mathrm e}^{3 d x +3 c}+2 i {\mathrm e}^{d x +c} e f +i d \,f^{2} x^{2} {\mathrm e}^{d x +c}-3 i d \,f^{2} x^{2} {\mathrm e}^{3 d x +3 c}-3 i d \,e^{2} {\mathrm e}^{3 d x +3 c}+3 d \,f^{2} x^{2} {\mathrm e}^{4 d x +4 c}-2 i f^{2} x \,{\mathrm e}^{3 d x +3 c}-5 d \,e^{2} {\mathrm e}^{2 d x +2 c}+8 d e f x +3 d \,e^{2} {\mathrm e}^{4 d x +4 c}+2 f^{2} x \,{\mathrm e}^{4 d x +4 c}+2 e f \,{\mathrm e}^{4 d x +4 c}-2 f^{2} x \,{\mathrm e}^{2 d x +2 c}-2 e f \,{\mathrm e}^{2 d x +2 c}+4 d \,f^{2} x^{2}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{2} d^{2} \left({\mathrm e}^{d x +c}-i\right) a}-\frac{2 i f^{2} \polylog \left(2, {\mathrm e}^{d x +c}\right)}{d^{3} a}-\frac{2 i f^{2} \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{d^{3} a}"," ",0,"-4*I/a/d^2*ln(exp(d*x+c)-I)*e*f-4*I/a/d^2*f^2*ln(1+I*exp(d*x+c))*x-4*I/a/d^3*f^2*ln(1+I*exp(d*x+c))*c+4*I/a/d^3*f^2*c*ln(exp(d*x+c)-I)-3/a/d*ln(1-exp(d*x+c))*e*f*x-3/a/d^2*ln(1-exp(d*x+c))*c*e*f+3/a/d^2*e*f*c*ln(exp(d*x+c)-1)+3/a/d*ln(exp(d*x+c)+1)*e*f*x-3*f^2*polylog(3,-exp(d*x+c))/a/d^3+3*f^2*polylog(3,exp(d*x+c))/a/d^3-4*I*f^2*polylog(2,-I*exp(d*x+c))/a/d^3+3/2/a/d^3*f^2*c^2*ln(1-exp(d*x+c))+3/2/a/d*f^2*ln(exp(d*x+c)+1)*x^2+3/a/d^2*f^2*polylog(2,-exp(d*x+c))*x-3/2/a/d*f^2*ln(1-exp(d*x+c))*x^2-3/a/d^2*f^2*polylog(2,exp(d*x+c))*x+3/2/a/d*e^2*ln(exp(d*x+c)+1)-3/2/a/d*e^2*ln(exp(d*x+c)-1)-3/2/a/d^3*f^2*c^2*ln(exp(d*x+c)-1)+3/a/d^2*e*f*polylog(2,-exp(d*x+c))-3/a/d^2*e*f*polylog(2,exp(d*x+c))-2*I/d^2/a*f*e*ln(exp(d*x+c)+1)-2*I/d^2/a*f*e*ln(exp(d*x+c)-1)+8*I/d^2/a*e*f*ln(exp(d*x+c))+2*I/d^3/a*f^2*c*ln(exp(d*x+c)-1)-8*I/d^3/a*f^2*c*ln(exp(d*x+c))+8*I/d^2/a*c*f^2*x-2*I/d^3/a*ln(1-exp(d*x+c))*c*f^2-2*I/d^2/a*ln(exp(d*x+c)+1)*f^2*x-2*I/d^2/a*ln(1-exp(d*x+c))*f^2*x-(2*I*f^2*x*exp(d*x+c)-2*I*e*f*exp(3*d*x+3*c)-10*d*e*f*x*exp(2*d*x+2*c)+6*d*e*f*x*exp(4*d*x+4*c)+2*I*d*e*f*x*exp(d*x+c)+I*d*e^2*exp(d*x+c)+4*d*e^2-5*d*f^2*x^2*exp(2*d*x+2*c)-6*I*d*e*f*x*exp(3*d*x+3*c)+2*I*exp(d*x+c)*e*f+I*d*f^2*x^2*exp(d*x+c)-3*I*d*f^2*x^2*exp(3*d*x+3*c)-3*I*d*e^2*exp(3*d*x+3*c)+3*d*f^2*x^2*exp(4*d*x+4*c)-2*I*f^2*x*exp(3*d*x+3*c)-5*d*e^2*exp(2*d*x+2*c)+8*d*e*f*x+3*d*e^2*exp(4*d*x+4*c)+2*f^2*x*exp(4*d*x+4*c)+2*e*f*exp(4*d*x+4*c)-2*f^2*x*exp(2*d*x+2*c)-2*e*f*exp(2*d*x+2*c)+4*d*f^2*x^2)/(exp(2*d*x+2*c)-1)^2/d^2/(exp(d*x+c)-I)/a-1/d^3/a*f^2*ln(exp(d*x+c)+1)+1/d^3/a*f^2*ln(exp(d*x+c)-1)+4*I/d^3/a*c^2*f^2+4*I/d/a*f^2*x^2-2*I/d^3/a*f^2*polylog(2,exp(d*x+c))-2*I/d^3/a*f^2*polylog(2,-exp(d*x+c))","B"
219,1,423,185,0.302000," ","int((f*x+e)*csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{i d e \,{\mathrm e}^{d x +c}-5 d f x \,{\mathrm e}^{2 d x +2 c}+3 d f x \,{\mathrm e}^{4 d x +4 c}+i {\mathrm e}^{d x +c} f -5 d e \,{\mathrm e}^{2 d x +2 c}+3 d e \,{\mathrm e}^{4 d x +4 c}+i d f x \,{\mathrm e}^{d x +c}+4 d f x +f \,{\mathrm e}^{4 d x +4 c}-3 i d e \,{\mathrm e}^{3 d x +3 c}-i {\mathrm e}^{3 d x +3 c} f +4 d e -f \,{\mathrm e}^{2 d x +2 c}-3 i d f x \,{\mathrm e}^{3 d x +3 c}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{2} d^{2} \left({\mathrm e}^{d x +c}-i\right) a}-\frac{i f \ln \left({\mathrm e}^{d x +c}+1\right)}{a \,d^{2}}-\frac{i f \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{3 e \ln \left({\mathrm e}^{d x +c}+1\right)}{2 a d}-\frac{3 e \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a d}+\frac{3 \ln \left({\mathrm e}^{d x +c}+1\right) f x}{2 a d}-\frac{3 \ln \left(1-{\mathrm e}^{d x +c}\right) f x}{2 a d}-\frac{3 \ln \left(1-{\mathrm e}^{d x +c}\right) c f}{2 a \,d^{2}}+\frac{3 f c \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{2}}+\frac{4 i f \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{2 i f \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{2}}+\frac{3 f \polylog \left(2, -{\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}-\frac{3 f \polylog \left(2, {\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}"," ",0,"-(I*d*e*exp(d*x+c)-5*d*f*x*exp(2*d*x+2*c)+3*d*f*x*exp(4*d*x+4*c)+I*exp(d*x+c)*f-5*d*e*exp(2*d*x+2*c)+3*d*e*exp(4*d*x+4*c)+I*d*f*x*exp(d*x+c)+4*d*f*x+f*exp(4*d*x+4*c)-3*I*d*e*exp(3*d*x+3*c)-I*exp(3*d*x+3*c)*f+4*d*e-f*exp(2*d*x+2*c)-3*I*d*f*x*exp(3*d*x+3*c))/(exp(2*d*x+2*c)-1)^2/d^2/(exp(d*x+c)-I)/a-I/a/d^2*f*ln(exp(d*x+c)+1)-I/a/d^2*f*ln(exp(d*x+c)-1)+3/2/a/d*e*ln(exp(d*x+c)+1)-3/2/a/d*e*ln(exp(d*x+c)-1)+3/2/a/d*ln(exp(d*x+c)+1)*f*x-3/2/a/d*ln(1-exp(d*x+c))*f*x-3/2/a/d^2*ln(1-exp(d*x+c))*c*f+3/2/a/d^2*f*c*ln(exp(d*x+c)-1)+4*I/a/d^2*f*ln(exp(d*x+c))-2*I*f/a/d^2*ln(exp(d*x+c)-I)+3/2*f*polylog(2,-exp(d*x+c))/a/d^2-3/2*f*polylog(2,exp(d*x+c))/a/d^2","B"
220,1,119,81,0.111000," ","int(csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{i \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{2 i}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{i}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d a}"," ",0,"1/2*I/d/a*tanh(1/2*d*x+1/2*c)+1/8/d/a*tanh(1/2*d*x+1/2*c)^2+2*I/d/a/(-I+tanh(1/2*d*x+1/2*c))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2+1/2*I/d/a/tanh(1/2*d*x+1/2*c)-3/2/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
221,0,0,32,1.701000," ","int(csch(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
222,0,0,32,2.826000," ","int(csch(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{3}}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
223,0,0,411,0.383000," ","int((f*x+e)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
224,0,0,305,0.278000," ","int((f*x+e)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
225,1,440,198,0.124000," ","int((f*x+e)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{f \,x^{2}}{2 b}+\frac{e x}{b}+\frac{2 a e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d b \sqrt{a^{2}+b^{2}}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d b \sqrt{a^{2}+b^{2}}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d b \sqrt{a^{2}+b^{2}}}+\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{a f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{a f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{2 a f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}"," ",0,"1/2*f*x^2/b+e*x/b+2/d*a/b*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d*a/b*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a/b*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a/b*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*a/b*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a/b*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d^2*a/b*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
226,1,87,49,0.003000," ","int(sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}-\frac{2 a \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d b \sqrt{a^{2}+b^{2}}}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-2/d*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","A"
227,0,0,28,0.105000," ","int(sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\sinh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
228,0,0,509,0.189000," ","int((f*x+e)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
229,0,0,375,0.168000," ","int((f*x+e)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
230,1,510,242,0.137000," ","int((f*x+e)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{a f \,x^{2}}{2 b^{2}}-\frac{a e x}{b^{2}}+\frac{\left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 d^{2} b}+\frac{\left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 d^{2} b}-\frac{2 a^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 a^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}"," ",0,"-1/2*a*f*x^2/b^2-a*e*x/b^2+1/2*(d*f*x+d*e-f)/d^2/b*exp(d*x+c)+1/2*(d*f*x+d*e+f)/d^2/b*exp(-d*x-c)-2/d*a^2/b^2*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d^2*a^2/b^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
231,1,132,66,0.048000," ","int(sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}+\frac{2 a^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{2} \sqrt{a^{2}+b^{2}}}"," ",0,"-1/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+2/d*a^2/b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","A"
232,0,0,30,0.144000," ","int(sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\sinh^{2}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
233,0,0,656,0.186000," ","int((f*x+e)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
234,0,0,480,0.163000," ","int((f*x+e)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
235,1,589,305,0.125000," ","int((f*x+e)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{a^{2} f \,x^{2}}{2 b^{3}}-\frac{f \,x^{2}}{4 b}+\frac{a^{2} e x}{b^{3}}-\frac{e x}{2 b}+\frac{\left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 d^{2} b}-\frac{a \left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 b^{2} d^{2}}-\frac{a \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 b^{2} d^{2}}-\frac{\left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 d^{2} b}+\frac{2 a^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{2 a^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}"," ",0,"1/2*a^2*f*x^2/b^3-1/4*f*x^2/b+a^2*e*x/b^3-1/2*e*x/b+1/16*(2*d*f*x+2*d*e-f)/d^2/b*exp(2*d*x+2*c)-1/2*a*(d*f*x+d*e-f)/b^2/d^2*exp(d*x+c)-1/2*a*(d*f*x+d*e+f)/b^2/d^2*exp(-d*x-c)-1/16*(2*d*f*x+2*d*e+f)/d^2/b*exp(-2*d*x-2*c)+2/d*a^3/b^3*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d^2*a^3/b^3*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","A"
236,1,262,98,0.053000," ","int(sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d b}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d b}-\frac{2 a^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{3} \sqrt{a^{2}+b^{2}}}"," ",0,"1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2+1/2/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2-1/2/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-2/d*a^3/b^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","B"
237,0,0,30,0.171000," ","int(sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\sinh^{3}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
238,0,0,558,0.683000," ","int((f*x+e)^3*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
239,0,0,398,0.470000," ","int((f*x+e)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
240,1,532,238,0.185000," ","int((f*x+e)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{2 e b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}-\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}-\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}-\frac{f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}+\frac{f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{f b \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{f b \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{2 f c b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}"," ",0,"-1/a/d*e*ln(exp(d*x+c)+1)+2/d*e*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/a/d*e*ln(exp(d*x+c)-1)-1/a/d*ln(exp(d*x+c)+1)*f*x-1/d^2*f/a*dilog(exp(d*x+c)+1)-1/d*f*b/a/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b/a/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*f*b/a/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*f*b/a/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*f*b/a/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*f*b/a/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*f*dilog(exp(d*x+c))/a-2/d^2*f*c*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/a/d^2*f*c*ln(exp(d*x+c)-1)","B"
241,1,65,59,0.003000," ","int(csch(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{2 b \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-2/d*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+1/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
242,0,0,28,0.123000," ","int(csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
243,0,0,696,1.484000," ","int((f*x+e)^3*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
244,0,0,500,1.231000," ","int((f*x+e)^2*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
245,1,626,283,0.217000," ","int((f*x+e)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{2 \left(f x +e \right)}{d a \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{2 f \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{b e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{2}}-\frac{2 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{2}}+\frac{2 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}+\frac{b f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}+\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}+\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2} \sqrt{a^{2}+b^{2}}}+\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}+\frac{b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}"," ",0,"-2/d*(f*x+e)/a/(exp(2*d*x+2*c)-1)-2/d^2/a*f*ln(exp(d*x+c))+1/d^2/a*f*ln(exp(d*x+c)+1)+1/d^2/a*f*ln(exp(d*x+c)-1)+1/d/a^2*b*e*ln(exp(d*x+c)+1)-2/d/a^2*b^2*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/a^2*b*e*ln(exp(d*x+c)-1)+2/d^2/a^2*b^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/a^2*b*f*c*ln(exp(d*x+c)-1)+1/d/a^2*b*f*ln(exp(d*x+c)+1)*x+1/d^2/a^2*b*f*dilog(exp(d*x+c)+1)+1/d/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/a^2*b*f*dilog(exp(d*x+c))","B"
246,1,105,75,0.003000," ","int(csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{2 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{2} \sqrt{a^{2}+b^{2}}}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)+2/d/a^2*b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-1/2/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))","A"
247,0,0,30,1.425000," ","int(csch(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
248,0,0,986,2.676000," ","int((f*x+e)^3*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right)^{3}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
249,0,0,683,1.515000," ","int((f*x+e)^2*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)^{3}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
250,1,861,386,0.260000," ","int((f*x+e)*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{a d f x \,{\mathrm e}^{3 d x +3 c}+a d e \,{\mathrm e}^{3 d x +3 c}-2 b d f x \,{\mathrm e}^{2 d x +2 c}+a d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{3 d x +3 c}-2 b d e \,{\mathrm e}^{2 d x +2 c}+a d e \,{\mathrm e}^{d x +c}+2 b d f x -a f \,{\mathrm e}^{d x +c}+2 b d e}{d^{2} a^{2} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2}}-\frac{b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{3}}-\frac{2 b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{2 b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{3}}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{3}}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{3}}-\frac{b^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{2 a d}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{3}}+\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{2 a d}-\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a d}+\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{2}}+\frac{2 b f \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}+\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{2 d^{2} a}+\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{2 d^{2} a}"," ",0,"-(a*d*f*x*exp(3*d*x+3*c)+a*d*e*exp(3*d*x+3*c)-2*b*d*f*x*exp(2*d*x+2*c)+a*d*f*x*exp(d*x+c)+a*f*exp(3*d*x+3*c)-2*b*d*e*exp(2*d*x+2*c)+a*d*e*exp(d*x+c)+2*b*d*f*x-a*f*exp(d*x+c)+2*b*d*e)/d^2/a^2/(exp(2*d*x+2*c)-1)^2-1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d/a^3*b^2*f*ln(exp(d*x+c)+1)*x-2/d^2/a^3*b^3*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d/a^3*b^3*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d/a^3*b^2*e*ln(exp(d*x+c)+1)+1/d/a^3*b^2*e*ln(exp(d*x+c)-1)-1/d^2/a^3*b^2*f*c*ln(exp(d*x+c)-1)-1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/2/a/d*ln(exp(d*x+c)+1)*f*x-1/d^2/a^3*b^2*f*dilog(exp(d*x+c)+1)-1/d^2/a^3*b^2*f*dilog(exp(d*x+c))+1/2/a/d*e*ln(exp(d*x+c)+1)-1/2/a/d*e*ln(exp(d*x+c)-1)+1/2/a/d^2*f*c*ln(exp(d*x+c)-1)+2/d^2/a^2*b*f*ln(exp(d*x+c))-1/d^2/a^2*b*f*ln(exp(d*x+c)+1)-1/d^2/a^2*b*f*ln(exp(d*x+c)-1)+1/2/d^2*f/a*dilog(exp(d*x+c)+1)+1/2/d^2*f*dilog(exp(d*x+c))/a","B"
251,1,164,104,0.003000," ","int(csch(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{2 b^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3} \sqrt{a^{2}+b^{2}}}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"1/8/d/a*tanh(1/2*d*x+1/2*c)^2+1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-2/d/a^3*b^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-1/2/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)","A"
252,0,0,30,2.614000," ","int(csch(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
253,1,635,124,0.214000," ","int((f*x+e)^3*cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{i e^{3} x}{a}+\frac{i x^{4} f^{3}}{4 a}+\frac{6 i e^{2} f c x}{d a}+\frac{6 i e^{2} f c \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{2} a}-\frac{6 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{3} a}-\frac{6 i e^{2} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{6 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{d^{3} a}+\frac{6 i e \,f^{2} c^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right)}{d^{3} a}-\frac{6 i e^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d a}-\frac{6 i e^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} a}-\frac{6 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{d a}-\frac{12 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{d^{2} a}-\frac{6 i e \,f^{2} c^{2} x}{d^{2} a}-\frac{2 i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}\right)}{d^{4} a}+\frac{2 i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{4} a}-\frac{2 i f^{3} c^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right)}{d^{4} a}-\frac{6 i e^{2} f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{12 i e \,f^{2} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{d^{3} a}-\frac{6 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x^{2}}{d^{2} a}+\frac{12 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right) x}{d^{3} a}+\frac{3 i f^{3} c^{4}}{2 d^{4} a}+\frac{2 i \ln \left({\mathrm e}^{d x +c}\right) e^{3}}{d a}-\frac{2 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{3}}{d a}-\frac{12 i f^{3} \polylog \left(4, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{3 i e^{2} f \,x^{2}}{2 a}+\frac{i e \,f^{2} x^{3}}{a}-\frac{2 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{3}}{d a}+\frac{3 i e^{2} f \,c^{2}}{d^{2} a}-\frac{4 i e \,f^{2} c^{3}}{d^{3} a}+\frac{2 i f^{3} c^{3} x}{d^{3} a}"," ",0,"-12*I*f^3*polylog(4,-I*exp(d*x+c))/a/d^4-I/a*e^3*x+1/4*I/a*x^4*f^3+3/2*I/a*e^2*f*x^2-2*I/d/a*f^3*ln(1+I*exp(d*x+c))*x^3+3*I/d^2/a*e^2*f*c^2-4*I/d^3/a*e*f^2*c^3+2*I/d^3/a*f^3*c^3*x-2*I/d^4/a*f^3*c^3*ln(exp(d*x+c))-6*I/d^2/a*e^2*f*polylog(2,-I*exp(d*x+c))+12*I/d^3/a*e*f^2*polylog(3,-I*exp(d*x+c))+2*I/d^4/a*f^3*c^3*ln(exp(d*x+c)-I)-2*I/d^4/a*f^3*c^3*ln(1+I*exp(d*x+c))-6*I/d^2/a*f^3*polylog(2,-I*exp(d*x+c))*x^2+12*I/d^3/a*f^3*polylog(3,-I*exp(d*x+c))*x+3/2*I/d^4/a*f^3*c^4+2*I/d/a*ln(exp(d*x+c))*e^3-2*I/d/a*ln(exp(d*x+c)-I)*e^3+I/a*e*f^2*x^3+6*I/d/a*e^2*f*c*x+6*I/d^2/a*e^2*f*c*ln(exp(d*x+c)-I)-6*I/d^3/a*e*f^2*c^2*ln(exp(d*x+c)-I)-6*I/d^2/a*e^2*f*c*ln(exp(d*x+c))+6*I/d^3/a*e*f^2*c^2*ln(exp(d*x+c))+6*I/d^3/a*e*f^2*c^2*ln(1+I*exp(d*x+c))-6*I/d/a*e^2*f*ln(1+I*exp(d*x+c))*x-6*I/d^2/a*e^2*f*ln(1+I*exp(d*x+c))*c-6*I/d/a*e*f^2*ln(1+I*exp(d*x+c))*x^2-12*I/d^2/a*e*f^2*polylog(2,-I*exp(d*x+c))*x-6*I/d^2/a*e*f^2*c^2*x","B"
254,1,393,94,0.142000," ","int((f*x+e)^2*cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{2 i f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{3} a}-\frac{2 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2}}{d a}-\frac{4 i e f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d a}+\frac{2 i \ln \left({\mathrm e}^{d x +c}\right) e^{2}}{d a}-\frac{i e^{2} x}{a}-\frac{4 i f^{2} c^{3}}{3 d^{3} a}+\frac{i x^{3} f^{2}}{3 a}+\frac{4 i e f c x}{d a}+\frac{2 i e f \,c^{2}}{d^{2} a}+\frac{4 i f^{2} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{2 i f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{d^{3} a}+\frac{4 i e f c \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{2} a}-\frac{4 i e f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} a}-\frac{2 i f^{2} c^{2} x}{d^{2} a}-\frac{4 i e f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{4 i e f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{2 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{d a}+\frac{i e f \,x^{2}}{a}+\frac{2 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{d^{3} a}-\frac{4 i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{d^{2} a}"," ",0,"-2*I/d^3/a*f^2*c^2*ln(exp(d*x+c)-I)-2*I/d/a*ln(exp(d*x+c)-I)*e^2-4*I/d/a*e*f*ln(1+I*exp(d*x+c))*x+4*I*f^2*polylog(3,-I*exp(d*x+c))/a/d^3+2*I/d/a*ln(exp(d*x+c))*e^2-I/a*e^2*x-4/3*I/d^3/a*f^2*c^3+1/3*I/a*x^3*f^2+4*I/d/a*e*f*c*x+2*I/d^2/a*e*f*c^2+2*I/d^3/a*f^2*c^2*ln(exp(d*x+c))+4*I/d^2/a*e*f*c*ln(exp(d*x+c)-I)-4*I/d^2/a*e*f*ln(1+I*exp(d*x+c))*c-2*I/d^2/a*f^2*c^2*x-4*I/d^2/a*e*f*c*ln(exp(d*x+c))-4*I/d^2/a*e*f*polylog(2,-I*exp(d*x+c))-2*I/d/a*f^2*ln(1+I*exp(d*x+c))*x^2+I/a*e*f*x^2+2*I/d^3/a*f^2*ln(1+I*exp(d*x+c))*c^2-4*I/d^2/a*f^2*polylog(2,-I*exp(d*x+c))*x","B"
255,1,188,64,0.147000," ","int((f*x+e)*cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{i f \,x^{2}}{2 a}-\frac{i e x}{a}-\frac{2 i \ln \left({\mathrm e}^{d x +c}-i\right) e}{d a}+\frac{2 i \ln \left({\mathrm e}^{d x +c}\right) e}{d a}+\frac{2 i f c x}{d a}+\frac{i f \,c^{2}}{d^{2} a}-\frac{2 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d a}-\frac{2 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} a}-\frac{2 i f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{2}}+\frac{2 i f c \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{2} a}-\frac{2 i f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a}"," ",0,"1/2*I*f*x^2/a-I*e*x/a-2*I/d/a*ln(exp(d*x+c)-I)*e+2*I/d/a*ln(exp(d*x+c))*e+2*I/d/a*f*c*x+I/d^2/a*f*c^2-2*I/d/a*f*ln(1+I*exp(d*x+c))*x-2*I/d^2/a*f*ln(1+I*exp(d*x+c))*c-2*I*f*polylog(2,-I*exp(d*x+c))/a/d^2+2*I/d^2/a*f*c*ln(exp(d*x+c)-I)-2*I/d^2/a*f*c*ln(exp(d*x+c))","B"
256,1,23,21,0.033000," ","int(cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{i \ln \left(a +i a \sinh \left(d x +c \right)\right)}{d a}"," ",0,"-I/d*ln(a+I*a*sinh(d*x+c))/a","A"
257,0,0,30,0.145000," ","int(cosh(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right)}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
258,0,0,30,0.152000," ","int(cosh(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right)}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
259,1,447,102,0.091000," ","int((f*x+e)^3*cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{3 i c \,f^{3} \left(\left(d x +c \right)^{2} \cosh \left(d x +c \right)-2 \left(d x +c \right) \sinh \left(d x +c \right)+2 \cosh \left(d x +c \right)\right)-3 i f^{2} e d \left(\left(d x +c \right)^{2} \cosh \left(d x +c \right)-2 \left(d x +c \right) \sinh \left(d x +c \right)+2 \cosh \left(d x +c \right)\right)+6 i f^{2} c e d \left(\left(d x +c \right) \cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)+3 i c f \,e^{2} d^{2} \cosh \left(d x +c \right)-3 i c^{2} f^{2} e d \cosh \left(d x +c \right)-i f^{3} \left(\left(d x +c \right)^{3} \cosh \left(d x +c \right)-3 \left(d x +c \right)^{2} \sinh \left(d x +c \right)+6 \left(d x +c \right) \cosh \left(d x +c \right)-6 \sinh \left(d x +c \right)\right)-i d^{3} e^{3} \cosh \left(d x +c \right)-3 i c^{2} f^{3} \left(\left(d x +c \right) \cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)-3 i f \,e^{2} d^{2} \left(\left(d x +c \right) \cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)+i f^{3} c^{3} \cosh \left(d x +c \right)+\frac{f^{3} \left(d x +c \right)^{4}}{4}-c \,f^{3} \left(d x +c \right)^{3}+d e \,f^{2} \left(d x +c \right)^{3}+\frac{3 c^{2} f^{3} \left(d x +c \right)^{2}}{2}-3 f^{2} c e d \left(d x +c \right)^{2}+\frac{3 d^{2} e^{2} f \left(d x +c \right)^{2}}{2}-f^{3} c^{3} \left(d x +c \right)+3 c^{2} f^{2} e d \left(d x +c \right)-3 c f \,e^{2} d^{2} \left(d x +c \right)+d^{3} e^{3} \left(d x +c \right)}{d^{4} a}"," ",0,"1/d^4/a*(3*I*c*f^3*((d*x+c)^2*cosh(d*x+c)-2*(d*x+c)*sinh(d*x+c)+2*cosh(d*x+c))-3*I*f^2*e*d*((d*x+c)^2*cosh(d*x+c)-2*(d*x+c)*sinh(d*x+c)+2*cosh(d*x+c))+6*I*f^2*c*e*d*((d*x+c)*cosh(d*x+c)-sinh(d*x+c))+3*I*c*f*e^2*d^2*cosh(d*x+c)-3*I*c^2*f^2*e*d*cosh(d*x+c)-I*f^3*((d*x+c)^3*cosh(d*x+c)-3*(d*x+c)^2*sinh(d*x+c)+6*(d*x+c)*cosh(d*x+c)-6*sinh(d*x+c))-I*d^3*e^3*cosh(d*x+c)-3*I*c^2*f^3*((d*x+c)*cosh(d*x+c)-sinh(d*x+c))-3*I*f*e^2*d^2*((d*x+c)*cosh(d*x+c)-sinh(d*x+c))+I*f^3*c^3*cosh(d*x+c)+1/4*f^3*(d*x+c)^4-c*f^3*(d*x+c)^3+d*e*f^2*(d*x+c)^3+3/2*c^2*f^3*(d*x+c)^2-3*f^2*c*e*d*(d*x+c)^2+3/2*d^2*e^2*f*(d*x+c)^2-f^3*c^3*(d*x+c)+3*c^2*f^2*e*d*(d*x+c)-3*c*f*e^2*d^2*(d*x+c)+d^3*e^3*(d*x+c))","B"
260,1,223,77,0.083000," ","int((f*x+e)^2*cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","-\frac{i f^{2} \left(\left(d x +c \right)^{2} \cosh \left(d x +c \right)-2 \left(d x +c \right) \sinh \left(d x +c \right)+2 \cosh \left(d x +c \right)\right)-2 i c \,f^{2} \left(\left(d x +c \right) \cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)+2 i f e d \left(\left(d x +c \right) \cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)+i c^{2} f^{2} \cosh \left(d x +c \right)-2 i c d f e \cosh \left(d x +c \right)+i d^{2} e^{2} \cosh \left(d x +c \right)-\frac{f^{2} \left(d x +c \right)^{3}}{3}+c \,f^{2} \left(d x +c \right)^{2}-d e f \left(d x +c \right)^{2}-c^{2} f^{2} \left(d x +c \right)+2 c d f e \left(d x +c \right)-d^{2} e^{2} \left(d x +c \right)}{d^{3} a}"," ",0,"-1/d^3/a*(I*f^2*((d*x+c)^2*cosh(d*x+c)-2*(d*x+c)*sinh(d*x+c)+2*cosh(d*x+c))-2*I*c*f^2*((d*x+c)*cosh(d*x+c)-sinh(d*x+c))+2*I*f*e*d*((d*x+c)*cosh(d*x+c)-sinh(d*x+c))+I*c^2*f^2*cosh(d*x+c)-2*I*c*d*f*e*cosh(d*x+c)+I*d^2*e^2*cosh(d*x+c)-1/3*f^2*(d*x+c)^3+c*f^2*(d*x+c)^2-d*e*f*(d*x+c)^2-c^2*f^2*(d*x+c)+2*c*d*f*e*(d*x+c)-d^2*e^2*(d*x+c))","B"
261,1,83,52,0.079000," ","int((f*x+e)*cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{-i f \left(\left(d x +c \right) \cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)+i c f \cosh \left(d x +c \right)-i d e \cosh \left(d x +c \right)+\frac{f \left(d x +c \right)^{2}}{2}-c f \left(d x +c \right)+d e \left(d x +c \right)}{d^{2} a}"," ",0,"1/d^2/a*(-I*f*((d*x+c)*cosh(d*x+c)-sinh(d*x+c))+I*c*f*cosh(d*x+c)-I*d*e*cosh(d*x+c)+1/2*f*(d*x+c)^2-c*f*(d*x+c)+d*e*(d*x+c))","A"
262,1,85,21,0.082000," ","int(cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{i}{d a \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)}{d a}-\frac{i}{d a \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)}{d a}"," ",0,"I/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-I/d/a/(tanh(1/2*d*x+1/2*c)+1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)","B"
263,1,103,74,0.175000," ","int(cosh(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\frac{\ln \left(f x +e \right)}{a f}+\frac{i {\mathrm e}^{\frac{c f -d e}{f}} \Ei \left(1, -d x -c -\frac{-c f +d e}{f}\right)}{2 a f}-\frac{i {\mathrm e}^{-\frac{c f -d e}{f}} \Ei \left(1, d x +c -\frac{c f -d e}{f}\right)}{2 a f}"," ",0,"ln(f*x+e)/a/f+1/2*I/a/f*exp((c*f-d*e)/f)*Ei(1,-d*x-c-(-c*f+d*e)/f)-1/2*I/a/f*exp(-(c*f-d*e)/f)*Ei(1,d*x+c-(c*f-d*e)/f)","A"
264,1,164,100,0.179000," ","int(cosh(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","-\frac{1}{a f \left(f x +e \right)}+\frac{i d \,{\mathrm e}^{d x +c}}{2 a \,f^{2} \left(\frac{d e}{f}+d x \right)}+\frac{i d \,{\mathrm e}^{\frac{c f -d e}{f}} \Ei \left(1, -d x -c -\frac{-c f +d e}{f}\right)}{2 a \,f^{2}}-\frac{i d \,{\mathrm e}^{-d x -c}}{2 a f \left(d f x +d e \right)}+\frac{i d \,{\mathrm e}^{-\frac{c f -d e}{f}} \Ei \left(1, d x +c -\frac{c f -d e}{f}\right)}{2 a \,f^{2}}"," ",0,"-1/a/f/(f*x+e)+1/2*I*d/a/f^2*exp(d*x+c)/(d*e/f+d*x)+1/2*I*d/a/f^2*exp((c*f-d*e)/f)*Ei(1,-d*x-c-(-c*f+d*e)/f)-1/2*I/a*d*exp(-d*x-c)/f/(d*f*x+d*e)+1/2*I/a*d/f^2*exp(-(c*f-d*e)/f)*Ei(1,d*x+c-(c*f-d*e)/f)","A"
265,1,726,213,0.142000," ","int((f*x+e)^3*cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{\frac{3 i c^{2} f^{2} e d \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{i f^{3} c^{3} \left(\cosh^{2}\left(d x +c \right)\right)}{2}+3 i f \,e^{2} d^{2} \left(\frac{\left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{4}-\frac{d x}{4}-\frac{c}{4}\right)-3 i c \,f^{3} \left(\frac{\left(d x +c \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{\left(d x +c \right) \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{\left(d x +c \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{4}\right)+3 i c^{2} f^{3} \left(\frac{\left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{4}-\frac{d x}{4}-\frac{c}{4}\right)-6 i f^{2} e c d \left(\frac{\left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{4}-\frac{d x}{4}-\frac{c}{4}\right)+\frac{i e^{3} d^{3} \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{3 i c f \,e^{2} d^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{2}+i f^{3} \left(\frac{\left(d x +c \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{3 \left(d x +c \right)^{2} \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{4}-\frac{\left(d x +c \right)^{3}}{4}+\frac{3 \left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{4}-\frac{3 \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{8}-\frac{3 d x}{8}-\frac{3 c}{8}\right)+3 i f^{2} e d \left(\frac{\left(d x +c \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{\left(d x +c \right) \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{\left(d x +c \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{4}\right)-f^{3} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)+3 c \,f^{3} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)-3 d e \,f^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)-3 c^{2} f^{3} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+6 c d e \,f^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-3 d^{2} e^{2} f \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+f^{3} c^{3} \sinh \left(d x +c \right)-3 c^{2} f^{2} e d \sinh \left(d x +c \right)+3 c f \,e^{2} d^{2} \sinh \left(d x +c \right)-e^{3} d^{3} \sinh \left(d x +c \right)}{d^{4} a}"," ",0,"-1/d^4/a*(3/2*I*c^2*f^2*e*d*cosh(d*x+c)^2-1/2*I*f^3*c^3*cosh(d*x+c)^2+3*I*f*e^2*d^2*(1/2*(d*x+c)*cosh(d*x+c)^2-1/4*cosh(d*x+c)*sinh(d*x+c)-1/4*d*x-1/4*c)-3*I*c*f^3*(1/2*(d*x+c)^2*cosh(d*x+c)^2-1/2*(d*x+c)*cosh(d*x+c)*sinh(d*x+c)-1/4*(d*x+c)^2+1/4*cosh(d*x+c)^2)+3*I*c^2*f^3*(1/2*(d*x+c)*cosh(d*x+c)^2-1/4*cosh(d*x+c)*sinh(d*x+c)-1/4*d*x-1/4*c)-6*I*f^2*e*c*d*(1/2*(d*x+c)*cosh(d*x+c)^2-1/4*cosh(d*x+c)*sinh(d*x+c)-1/4*d*x-1/4*c)+1/2*I*e^3*d^3*cosh(d*x+c)^2-3/2*I*c*f*e^2*d^2*cosh(d*x+c)^2+I*f^3*(1/2*(d*x+c)^3*cosh(d*x+c)^2-3/4*(d*x+c)^2*cosh(d*x+c)*sinh(d*x+c)-1/4*(d*x+c)^3+3/4*(d*x+c)*cosh(d*x+c)^2-3/8*cosh(d*x+c)*sinh(d*x+c)-3/8*d*x-3/8*c)+3*I*f^2*e*d*(1/2*(d*x+c)^2*cosh(d*x+c)^2-1/2*(d*x+c)*cosh(d*x+c)*sinh(d*x+c)-1/4*(d*x+c)^2+1/4*cosh(d*x+c)^2)-f^3*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+3*c*f^3*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-3*d*e*f^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-3*c^2*f^3*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+6*c*d*e*f^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-3*d^2*e^2*f*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+f^3*c^3*sinh(d*x+c)-3*c^2*f^2*e*d*sinh(d*x+c)+3*c*f*e^2*d^2*sinh(d*x+c)-e^3*d^3*sinh(d*x+c))","B"
266,1,241,156,0.243000," ","int((f*x+e)^2*cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{i \left(2 x^{2} f^{2} d^{2}+4 d^{2} e f x +2 d^{2} e^{2}-2 d \,f^{2} x -2 d e f +f^{2}\right) {\mathrm e}^{2 d x +2 c}}{16 a \,d^{3}}+\frac{\left(x^{2} f^{2} d^{2}+2 d^{2} e f x +d^{2} e^{2}-2 d \,f^{2} x -2 d e f +2 f^{2}\right) {\mathrm e}^{d x +c}}{2 a \,d^{3}}-\frac{\left(x^{2} f^{2} d^{2}+2 d^{2} e f x +d^{2} e^{2}+2 d \,f^{2} x +2 d e f +2 f^{2}\right) {\mathrm e}^{-d x -c}}{2 a \,d^{3}}-\frac{i \left(2 x^{2} f^{2} d^{2}+4 d^{2} e f x +2 d^{2} e^{2}+2 d \,f^{2} x +2 d e f +f^{2}\right) {\mathrm e}^{-2 d x -2 c}}{16 a \,d^{3}}"," ",0,"-1/16*I*(2*d^2*f^2*x^2+4*d^2*e*f*x+2*d^2*e^2-2*d*f^2*x-2*d*e*f+f^2)/a/d^3*exp(2*d*x+2*c)+1/2*(d^2*f^2*x^2+2*d^2*e*f*x+d^2*e^2-2*d*f^2*x-2*d*e*f+2*f^2)/a/d^3*exp(d*x+c)-1/2*(d^2*f^2*x^2+2*d^2*e*f*x+d^2*e^2+2*d*f^2*x+2*d*e*f+2*f^2)/a/d^3*exp(-d*x-c)-1/16*I*(2*d^2*f^2*x^2+4*d^2*e*f*x+2*d^2*e^2+2*d*f^2*x+2*d*e*f+f^2)/a/d^3*exp(-2*d*x-2*c)","A"
267,1,120,89,0.112000," ","int((f*x+e)*cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{i f \left(\frac{\left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{2}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{4}-\frac{d x}{4}-\frac{c}{4}\right)-\frac{i c f \left(\cosh^{2}\left(d x +c \right)\right)}{2}+\frac{i d e \left(\cosh^{2}\left(d x +c \right)\right)}{2}-f \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+c f \sinh \left(d x +c \right)-\sinh \left(d x +c \right) d e}{d^{2} a}"," ",0,"-1/d^2/a*(I*f*(1/2*(d*x+c)*cosh(d*x+c)^2-1/4*cosh(d*x+c)*sinh(d*x+c)-1/4*d*x-1/4*c)-1/2*I*c*f*cosh(d*x+c)^2+1/2*I*d*e*cosh(d*x+c)^2-f*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+c*f*sinh(d*x+c)-sinh(d*x+c)*d*e)","A"
268,1,29,31,0.036000," ","int(cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{\frac{i \left(\sinh^{2}\left(d x +c \right)\right)}{2}-\sinh \left(d x +c \right)}{a d}"," ",0,"-1/a/d*(1/2*I*sinh(d*x+c)^2-sinh(d*x+c))","A"
269,1,180,125,0.194000," ","int(cosh(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","-\frac{{\mathrm e}^{-\frac{c f -d e}{f}} \Ei \left(1, d x +c -\frac{c f -d e}{f}\right)}{2 a f}-\frac{{\mathrm e}^{\frac{c f -d e}{f}} \Ei \left(1, -d x -c -\frac{-c f +d e}{f}\right)}{2 a f}+\frac{i {\mathrm e}^{\frac{2 c f -2 d e}{f}} \Ei \left(1, -2 d x -2 c -\frac{2 \left(-c f +d e \right)}{f}\right)}{4 a f}-\frac{i {\mathrm e}^{-\frac{2 \left(c f -d e \right)}{f}} \Ei \left(1, 2 d x +2 c -\frac{2 \left(c f -d e \right)}{f}\right)}{4 a f}"," ",0,"-1/2/a/f*exp(-(c*f-d*e)/f)*Ei(1,d*x+c-(c*f-d*e)/f)-1/2/a/f*exp((c*f-d*e)/f)*Ei(1,-d*x-c-(-c*f+d*e)/f)+1/4*I/a/f*exp(2*(c*f-d*e)/f)*Ei(1,-2*d*x-2*c-2*(-c*f+d*e)/f)-1/4*I/a/f*exp(-2*(c*f-d*e)/f)*Ei(1,2*d*x+2*c-2*(c*f-d*e)/f)","A"
270,1,299,175,0.210000," ","int(cosh(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","-\frac{d \,{\mathrm e}^{-d x -c}}{2 a f \left(d f x +d e \right)}+\frac{d \,{\mathrm e}^{-\frac{c f -d e}{f}} \Ei \left(1, d x +c -\frac{c f -d e}{f}\right)}{2 a \,f^{2}}-\frac{d \,{\mathrm e}^{d x +c}}{2 a \,f^{2} \left(\frac{d e}{f}+d x \right)}-\frac{d \,{\mathrm e}^{\frac{c f -d e}{f}} \Ei \left(1, -d x -c -\frac{-c f +d e}{f}\right)}{2 a \,f^{2}}+\frac{i d \,{\mathrm e}^{2 d x +2 c}}{4 a \,f^{2} \left(\frac{d e}{f}+d x \right)}+\frac{i d \,{\mathrm e}^{\frac{2 c f -2 d e}{f}} \Ei \left(1, -2 d x -2 c -\frac{2 \left(-c f +d e \right)}{f}\right)}{2 a \,f^{2}}-\frac{i d \,{\mathrm e}^{-2 d x -2 c}}{4 a f \left(d f x +d e \right)}+\frac{i d \,{\mathrm e}^{-\frac{2 \left(c f -d e \right)}{f}} \Ei \left(1, 2 d x +2 c -\frac{2 \left(c f -d e \right)}{f}\right)}{2 a \,f^{2}}"," ",0,"-1/2*d/a*exp(-d*x-c)/f/(d*f*x+d*e)+1/2*d/a/f^2*exp(-(c*f-d*e)/f)*Ei(1,d*x+c-(c*f-d*e)/f)-1/2*d/a/f^2*exp(d*x+c)/(d*e/f+d*x)-1/2*d/a/f^2*exp((c*f-d*e)/f)*Ei(1,-d*x-c-(-c*f+d*e)/f)+1/4*I*d/a/f^2*exp(2*d*x+2*c)/(d*e/f+d*x)+1/2*I*d/a/f^2*exp(2*(c*f-d*e)/f)*Ei(1,-2*d*x-2*c-2*(-c*f+d*e)/f)-1/4*I/a*d*exp(-2*d*x-2*c)/f/(d*f*x+d*e)+1/2*I/a*d/f^2*exp(-2*(c*f-d*e)/f)*Ei(1,2*d*x+2*c-2*(c*f-d*e)/f)","A"
271,1,1152,416,0.361000," ","int((f*x+e)^3*sech(d*x+c)/(a+I*a*sinh(d*x+c)),x)","-\frac{3 i \ln \left(1+i {\mathrm e}^{d x +c}\right) c \,e^{2} f}{2 a \,d^{2}}+\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) e \,f^{2} x^{2}}{2 a d}-\frac{3 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{2 a \,d^{3}}+\frac{3 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{3}}-\frac{3 i e^{2} f c \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{2}}-\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{2} e \,f^{2}}{2 a \,d^{3}}+\frac{3 i \polylog \left(2, i {\mathrm e}^{d x +c}\right) e \,f^{2} x}{a \,d^{2}}+\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) e^{2} f x}{2 a d}+\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) c \,e^{2} f}{2 a \,d^{2}}+\frac{d \,x^{3} f^{3} {\mathrm e}^{d x +c}+3 d e \,f^{2} x^{2} {\mathrm e}^{d x +c}+3 d \,e^{2} f x \,{\mathrm e}^{d x +c}+d \,e^{3} {\mathrm e}^{d x +c}+3 f^{3} x^{2} {\mathrm e}^{d x +c}-3 i f^{3} x^{2}+6 e \,f^{2} x \,{\mathrm e}^{d x +c}-6 i e \,f^{2} x +3 e^{2} f \,{\mathrm e}^{d x +c}-3 i e^{2} f}{\left({\mathrm e}^{d x +c}-i\right)^{2} d^{2} a}+\frac{3 i e^{2} f c \ln \left({\mathrm e}^{d x +c}-i\right)}{2 d^{2} a}+\frac{3 i e \,f^{2} c^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right)}{2 d^{3} a}-\frac{3 i e^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{2 d a}-\frac{3 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{2 d a}-\frac{3 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{d^{2} a}+\frac{i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}-i\right)}{2 d^{4} a}+\frac{3 i e \,f^{2} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{d^{3} a}-\frac{3 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x^{2}}{2 d^{2} a}-\frac{i \ln \left({\mathrm e}^{d x +c}-i\right) e^{3}}{2 d a}-\frac{3 i f^{3} \polylog \left(4, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{6 i f^{3} c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}-\frac{3 i e \,f^{2} \polylog \left(3, i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{3 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{3 i f^{3} \polylog \left(2, i {\mathrm e}^{d x +c}\right) x^{2}}{2 a \,d^{2}}-\frac{3 i f^{3} \polylog \left(3, i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{3 i e^{2} f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}+\frac{3 i e^{2} f \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}+\frac{6 i f^{3} c \ln \left(1+i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{6 i e \,f^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{6 i f^{3} c x}{a \,d^{3}}-\frac{i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{4}}+\frac{6 i f^{3} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{6 i e \,f^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{3}}{2 a d}-\frac{i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{3}}{2 a \,d^{4}}+\frac{i f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) x^{3}}{2 a d}+\frac{i f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{3}}{2 a \,d^{4}}+\frac{6 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}+\frac{i e^{3} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a d}-\frac{3 i f^{3} x^{2}}{a \,d^{2}}-\frac{3 i f^{3} c^{2}}{a \,d^{4}}+\frac{3 i f^{3} \polylog \left(4, i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{6 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}"," ",0,"-3*I*f^3*polylog(4,-I*exp(d*x+c))/a/d^4+3*I*f^3*polylog(4,I*exp(d*x+c))/a/d^4-3/2*I/a/d*ln(1+I*exp(d*x+c))*e*f^2*x^2-3*I/a/d^2*polylog(2,-I*exp(d*x+c))*e*f^2*x+3/2*I/a/d*ln(1-I*exp(d*x+c))*e^2*f*x+3/2*I/a/d^2*ln(1-I*exp(d*x+c))*c*e^2*f-3/2*I/a/d*ln(1+I*exp(d*x+c))*e^2*f*x-3/2*I/a/d^2*ln(1+I*exp(d*x+c))*c*e^2*f+3/2*I/a/d*ln(1-I*exp(d*x+c))*e*f^2*x^2+3*I/a/d^2*polylog(2,I*exp(d*x+c))*e*f^2*x-3/2*I/a/d^3*e*f^2*c^2*ln(exp(d*x+c)-I)+3/2*I/a/d^3*e*f^2*c^2*ln(exp(d*x+c)+I)+3/2*I/a/d^2*e^2*f*c*ln(exp(d*x+c)-I)-3/2*I/a/d^2*e^2*f*c*ln(exp(d*x+c)+I)+3/2*I/a/d^3*ln(1+I*exp(d*x+c))*c^2*e*f^2-3/2*I/a/d^3*ln(1-I*exp(d*x+c))*c^2*e*f^2-6*I/a/d^3*e*f^2*ln(exp(d*x+c))-6*I/a/d^3*f^3*c*x-1/2*I/a/d^4*f^3*c^3*ln(exp(d*x+c)+I)+6*I/a/d^4*f^3*c*ln(exp(d*x+c))+1/2*I/a/d^4*f^3*c^3*ln(exp(d*x+c)-I)+3*I/a/d^3*e*f^2*polylog(3,-I*exp(d*x+c))-3*I/a/d^3*e*f^2*polylog(3,I*exp(d*x+c))+6*I/a/d^3*e*f^2*ln(exp(d*x+c)-I)-1/2*I/a/d*f^3*ln(1+I*exp(d*x+c))*x^3-1/2*I/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^3-3/2*I/a/d^2*f^3*polylog(2,-I*exp(d*x+c))*x^2+3*I/a/d^3*f^3*polylog(3,-I*exp(d*x+c))*x+1/2*I/a/d*f^3*ln(1-I*exp(d*x+c))*x^3+1/2*I/a/d^4*f^3*ln(1-I*exp(d*x+c))*c^3+3/2*I/a/d^2*f^3*polylog(2,I*exp(d*x+c))*x^2-3*I/a/d^3*f^3*polylog(3,I*exp(d*x+c))*x+6*I/a/d^3*f^3*ln(1+I*exp(d*x+c))*x-6*I/a/d^4*f^3*c*ln(exp(d*x+c)-I)-1/2*I/a/d*e^3*ln(exp(d*x+c)-I)+1/2*I/a/d*e^3*ln(exp(d*x+c)+I)-3*I/a/d^2*f^3*x^2-3*I/a/d^4*f^3*c^2+6*I/a/d^4*f^3*polylog(2,-I*exp(d*x+c))+(d*x^3*f^3*exp(d*x+c)+3*d*e*f^2*x^2*exp(d*x+c)+3*d*e^2*f*x*exp(d*x+c)+d*e^3*exp(d*x+c)+3*f^3*x^2*exp(d*x+c)-3*I*f^3*x^2+6*e*f^2*x*exp(d*x+c)-6*I*e*f^2*x+3*e^2*f*exp(d*x+c)-3*I*e^2*f)/(exp(d*x+c)-I)^2/d^2/a-3/2*I/a/d^2*e^2*f*polylog(2,-I*exp(d*x+c))+3/2*I/a/d^2*e^2*f*polylog(2,I*exp(d*x+c))+6*I/a/d^4*f^3*c*ln(1+I*exp(d*x+c))","B"
272,1,613,248,0.228000," ","int((f*x+e)^2*sech(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{d \,f^{2} x^{2} {\mathrm e}^{d x +c}+2 d e f x \,{\mathrm e}^{d x +c}+d \,e^{2} {\mathrm e}^{d x +c}-2 i f^{2} x +2 f^{2} x \,{\mathrm e}^{d x +c}-2 i e f +2 e f \,{\mathrm e}^{d x +c}}{\left({\mathrm e}^{d x +c}-i\right)^{2} d^{2} a}-\frac{i f^{2} \polylog \left(3, i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{i \ln \left(1-i {\mathrm e}^{d x +c}\right) f^{2} x^{2}}{2 d a}-\frac{i f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{2 d^{3} a}+\frac{i c^{2} f^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 d^{3} a}+\frac{i e f c \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{2} a}+\frac{i \polylog \left(2, i {\mathrm e}^{d x +c}\right) f^{2} x}{d^{2} a}-\frac{i e f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} a}+\frac{2 i f^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{d^{3} a}+\frac{i \ln \left(1-i {\mathrm e}^{d x +c}\right) c e f}{d^{2} a}-\frac{2 i f^{2} \ln \left({\mathrm e}^{d x +c}\right)}{d^{3} a}-\frac{i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2}}{2 d a}+\frac{i e^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 d a}-\frac{i \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{2} f^{2}}{2 d^{3} a}+\frac{i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{2 d^{3} a}-\frac{i e f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{d^{2} a}+\frac{i f^{2} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{i e f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d a}-\frac{i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{2 d a}+\frac{i \ln \left(1-i {\mathrm e}^{d x +c}\right) e f x}{d a}+\frac{i e f \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{i e f c \ln \left({\mathrm e}^{d x +c}+i\right)}{d^{2} a}"," ",0,"(d*f^2*x^2*exp(d*x+c)+2*d*e*f*x*exp(d*x+c)+d*e^2*exp(d*x+c)-2*I*f^2*x+2*f^2*x*exp(d*x+c)-2*I*e*f+2*e*f*exp(d*x+c))/(exp(d*x+c)-I)^2/d^2/a+1/2*I/d/a*ln(1-I*exp(d*x+c))*f^2*x^2-1/2*I/d^3/a*c^2*f^2*ln(exp(d*x+c)-I)+1/2*I/d^3/a*c^2*f^2*ln(exp(d*x+c)+I)+I/d^2/a*e*f*c*ln(exp(d*x+c)-I)-I*f^2*polylog(3,I*exp(d*x+c))/a/d^3+I/d^2/a*polylog(2,I*exp(d*x+c))*f^2*x-I/d^2/a*ln(1+I*exp(d*x+c))*c*e*f+2*I/d^3/a*f^2*ln(exp(d*x+c)-I)+I/d^2/a*ln(1-I*exp(d*x+c))*c*e*f-2*I/d^3/a*f^2*ln(exp(d*x+c))-I/d^2/a*polylog(2,-I*exp(d*x+c))*f^2*x+I*f^2*polylog(3,-I*exp(d*x+c))/a/d^3-1/2*I/d/a*e^2*ln(exp(d*x+c)-I)+I/d^2/a*e*f*polylog(2,I*exp(d*x+c))+1/2*I/d/a*e^2*ln(exp(d*x+c)+I)-1/2*I/d^3/a*ln(1-I*exp(d*x+c))*c^2*f^2+1/2*I/d^3/a*ln(1+I*exp(d*x+c))*c^2*f^2-I/d^2/a*e*f*polylog(2,-I*exp(d*x+c))-I/d/a*ln(1+I*exp(d*x+c))*e*f*x-1/2*I/d/a*ln(1+I*exp(d*x+c))*f^2*x^2+I/d/a*ln(1-I*exp(d*x+c))*e*f*x-I/d^2/a*e*f*c*ln(exp(d*x+c)+I)","B"
273,1,268,140,0.257000," ","int((f*x+e)*sech(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{d f x \,{\mathrm e}^{d x +c}+d e \,{\mathrm e}^{d x +c}+f \,{\mathrm e}^{d x +c}-i f}{\left({\mathrm e}^{d x +c}-i\right)^{2} d^{2} a}-\frac{i \ln \left({\mathrm e}^{d x +c}-i\right) e}{2 d a}+\frac{i e \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a d}-\frac{i f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{2 d a}-\frac{i f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{2 d^{2} a}-\frac{i f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}+\frac{i f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{2 a d}+\frac{i f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{2 a \,d^{2}}+\frac{i f \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{2 a \,d^{2}}+\frac{i f c \ln \left({\mathrm e}^{d x +c}-i\right)}{2 d^{2} a}-\frac{i f c \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{2}}"," ",0,"(d*f*x*exp(d*x+c)+d*e*exp(d*x+c)+f*exp(d*x+c)-I*f)/(exp(d*x+c)-I)^2/d^2/a-1/2*I/a/d*e*ln(exp(d*x+c)-I)+1/2*I/a/d*e*ln(exp(d*x+c)+I)-1/2*I/a/d*f*ln(1+I*exp(d*x+c))*x-1/2*I/a/d^2*f*ln(1+I*exp(d*x+c))*c-1/2*I*f*polylog(2,-I*exp(d*x+c))/a/d^2+1/2*I/a/d*f*ln(1-I*exp(d*x+c))*x+1/2*I/a/d^2*f*ln(1-I*exp(d*x+c))*c+1/2*I*f*polylog(2,I*exp(d*x+c))/a/d^2+1/2*I/a/d^2*f*c*ln(exp(d*x+c)-I)-1/2*I/a/d^2*f*c*ln(exp(d*x+c)+I)","A"
274,1,91,36,0.085000," ","int(sech(d*x+c)/(a+I*a*sinh(d*x+c)),x)","\frac{i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)}{2 d a}-\frac{i}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{2}}-\frac{i \ln \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d a}-\frac{1}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}"," ",0,"1/2*I/d/a*ln(tanh(1/2*d*x+1/2*c)+I)-I/d/a/(-I+tanh(1/2*d*x+1/2*c))^2-1/2*I/d/a*ln(-I+tanh(1/2*d*x+1/2*c))-1/d/a/(-I+tanh(1/2*d*x+1/2*c))","B"
275,0,0,30,0.918000," ","int(sech(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
276,0,0,30,1.350000," ","int(sech(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
277,1,1001,424,0.353000," ","int((f*x+e)^3*sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","-\frac{5 f^{2} e \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{5 f^{2} e \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}+\frac{5 f^{2} e c \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{3}}-\frac{8 f^{2} e c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}+\frac{8 f^{2} e c x}{a \,d^{2}}-\frac{3 f^{2} \ln \left(1-i {\mathrm e}^{d x +c}\right) e x}{a \,d^{2}}-\frac{3 f^{2} \ln \left(1-i {\mathrm e}^{d x +c}\right) c e}{a \,d^{3}}+\frac{3 f^{2} e c \ln \left({\mathrm e}^{d x +c}+i\right)}{a \,d^{3}}+\frac{i \left(6 i f^{3} x +8 d^{2} x^{3} f^{3} {\mathrm e}^{d x +c}-3 d \,f^{3} x^{2} {\mathrm e}^{3 d x +3 c}+6 i e \,f^{2}+24 d^{2} e \,f^{2} x^{2} {\mathrm e}^{d x +c}-6 d e \,f^{2} x \,{\mathrm e}^{3 d x +3 c}-12 i d^{2} e \,f^{2} x^{2}+6 i f^{3} x \,{\mathrm e}^{2 d x +2 c}+24 d^{2} e^{2} f x \,{\mathrm e}^{d x +c}-3 d \,e^{2} f \,{\mathrm e}^{3 d x +3 c}-3 d \,f^{3} x^{2} {\mathrm e}^{d x +c}-6 f^{3} x \,{\mathrm e}^{3 d x +3 c}-4 i d^{2} e^{3}-4 i d^{2} f^{3} x^{3}+8 d^{2} e^{3} {\mathrm e}^{d x +c}-6 d e \,f^{2} x \,{\mathrm e}^{d x +c}-6 e \,f^{2} {\mathrm e}^{3 d x +3 c}-12 i d^{2} e^{2} f x -3 d \,e^{2} f \,{\mathrm e}^{d x +c}-6 f^{3} x \,{\mathrm e}^{d x +c}+6 i e \,f^{2} {\mathrm e}^{2 d x +2 c}-6 e \,f^{2} {\mathrm e}^{d x +c}\right)}{3 \left({\mathrm e}^{d x +c}+i\right) \left({\mathrm e}^{d x +c}-i\right)^{3} d^{3} a}+\frac{4 f^{3} x^{3}}{3 a d}-\frac{8 f^{3} c^{3}}{3 a \,d^{4}}+\frac{5 f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{2 f^{3} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{2 f^{3} \ln \left({\mathrm e}^{d x +c}-i\right)}{a \,d^{4}}+\frac{3 f^{3} \polylog \left(3, i {\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{4 f \ln \left({\mathrm e}^{d x +c}\right) e^{2}}{a \,d^{2}}-\frac{4 f^{3} c^{2} x}{a \,d^{3}}-\frac{5 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{2 a \,d^{4}}-\frac{5 f \ln \left({\mathrm e}^{d x +c}-i\right) e^{2}}{2 a \,d^{2}}-\frac{5 f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{5 f^{2} e \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{5 f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{2 a \,d^{2}}+\frac{5 f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{2 a \,d^{4}}+\frac{4 f^{2} e \,c^{2}}{a \,d^{3}}+\frac{4 f^{2} e \,x^{2}}{a d}+\frac{4 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}-\frac{3 f^{3} c^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{4}}-\frac{3 f \,e^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{2}}-\frac{3 f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) x^{2}}{2 a \,d^{2}}+\frac{3 f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{2}}{2 a \,d^{4}}-\frac{3 f^{3} \polylog \left(2, i {\mathrm e}^{d x +c}\right) x}{a \,d^{3}}-\frac{3 f^{2} e \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}"," ",0,"-8/a/d^3*f^2*e*c*ln(exp(d*x+c))-5/a/d^2*f^2*e*ln(1+I*exp(d*x+c))*x-5/a/d^3*f^2*e*ln(1+I*exp(d*x+c))*c+8/a/d^2*f^2*e*c*x+5/a/d^3*f^2*e*c*ln(exp(d*x+c)-I)+5*f^3*polylog(3,-I*exp(d*x+c))/a/d^4+3*f^3*polylog(3,I*exp(d*x+c))/a/d^4-3/a/d^2*f^2*ln(1-I*exp(d*x+c))*e*x-3/a/d^3*f^2*ln(1-I*exp(d*x+c))*c*e+3/a/d^3*f^2*e*c*ln(exp(d*x+c)+I)+4/3/a/d*f^3*x^3-8/3/a/d^4*f^3*c^3-3/2/a/d^4*f^3*c^2*ln(exp(d*x+c)+I)-3/2/a/d^2*f*e^2*ln(exp(d*x+c)+I)-3/2/a/d^2*f^3*ln(1-I*exp(d*x+c))*x^2-3/a/d^3*f^3*polylog(2,I*exp(d*x+c))*x+3/2/a/d^4*f^3*ln(1-I*exp(d*x+c))*c^2-3/a/d^3*f^2*e*polylog(2,I*exp(d*x+c))+2/a/d^4*f^3*ln(exp(d*x+c)-I)-2/a/d^4*f^3*ln(exp(d*x+c))-5/a/d^3*f^3*polylog(2,-I*exp(d*x+c))*x-5/2/a/d^4*f^3*c^2*ln(exp(d*x+c)-I)+4/a/d^2*f*ln(exp(d*x+c))*e^2-4/a/d^3*f^3*c^2*x-5/2/a/d^2*f*ln(exp(d*x+c)-I)*e^2+4/a/d^3*f^2*e*c^2+4/a/d*f^2*e*x^2-5/a/d^3*f^2*e*polylog(2,-I*exp(d*x+c))+4/a/d^4*f^3*c^2*ln(exp(d*x+c))-5/2/a/d^2*f^3*ln(1+I*exp(d*x+c))*x^2+5/2/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^2+1/3*I*(6*I*f^3*x+8*d^2*x^3*f^3*exp(d*x+c)-3*d*f^3*x^2*exp(3*d*x+3*c)+6*I*e*f^2+24*d^2*e*f^2*x^2*exp(d*x+c)-6*d*e*f^2*x*exp(3*d*x+3*c)-12*I*d^2*e*f^2*x^2+6*I*f^3*x*exp(2*d*x+2*c)+24*d^2*e^2*f*x*exp(d*x+c)-3*d*e^2*f*exp(3*d*x+3*c)-3*d*f^3*x^2*exp(d*x+c)-6*f^3*x*exp(3*d*x+3*c)-4*I*d^2*e^3-4*I*d^2*f^3*x^3+8*d^2*e^3*exp(d*x+c)-6*d*e*f^2*x*exp(d*x+c)-6*e*f^2*exp(3*d*x+3*c)-12*I*d^2*e^2*f*x-3*d*e^2*f*exp(d*x+c)-6*f^3*x*exp(d*x+c)+6*I*e*f^2*exp(2*d*x+2*c)-6*e*f^2*exp(d*x+c))/(exp(d*x+c)+I)/(exp(d*x+c)-I)^3/d^3/a","B"
278,1,509,290,0.257000," ","int((f*x+e)^2*sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{2 i \left(-2 i d^{2} f^{2} x^{2}+4 d^{2} f^{2} x^{2} {\mathrm e}^{d x +c}-d \,f^{2} x \,{\mathrm e}^{3 d x +3 c}-4 i d^{2} e f x +8 d^{2} e f x \,{\mathrm e}^{d x +c}-d e f \,{\mathrm e}^{3 d x +3 c}-2 i d^{2} e^{2}+i f^{2} {\mathrm e}^{2 d x +2 c}+4 d^{2} e^{2} {\mathrm e}^{d x +c}-d \,f^{2} x \,{\mathrm e}^{d x +c}-f^{2} {\mathrm e}^{3 d x +3 c}-d e f \,{\mathrm e}^{d x +c}+i f^{2}-f^{2} {\mathrm e}^{d x +c}\right)}{3 \left({\mathrm e}^{d x +c}+i\right) \left({\mathrm e}^{d x +c}-i\right)^{3} d^{3} a}-\frac{5 f \ln \left({\mathrm e}^{d x +c}-i\right) e}{3 a \,d^{2}}-\frac{f e \ln \left({\mathrm e}^{d x +c}+i\right)}{a \,d^{2}}+\frac{8 f \ln \left({\mathrm e}^{d x +c}\right) e}{3 a \,d^{2}}+\frac{5 f^{2} c \ln \left({\mathrm e}^{d x +c}-i\right)}{3 a \,d^{3}}+\frac{f^{2} c \ln \left({\mathrm e}^{d x +c}+i\right)}{a \,d^{3}}-\frac{8 f^{2} c \ln \left({\mathrm e}^{d x +c}\right)}{3 a \,d^{3}}+\frac{4 f^{2} x^{2}}{3 a d}+\frac{8 f^{2} c x}{3 a \,d^{2}}+\frac{4 f^{2} c^{2}}{3 a \,d^{3}}-\frac{5 f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{3 a \,d^{2}}-\frac{5 f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{3 a \,d^{3}}-\frac{5 f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{3 a \,d^{3}}-\frac{f^{2} \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{a \,d^{2}}-\frac{f^{2} \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{a \,d^{3}}-\frac{f^{2} \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{a \,d^{3}}"," ",0,"2/3*I*(-2*I*d^2*f^2*x^2+4*d^2*f^2*x^2*exp(d*x+c)-d*f^2*x*exp(3*d*x+3*c)-4*I*d^2*e*f*x+8*d^2*e*f*x*exp(d*x+c)-d*e*f*exp(3*d*x+3*c)-2*I*d^2*e^2+I*f^2*exp(2*d*x+2*c)+4*d^2*e^2*exp(d*x+c)-d*f^2*x*exp(d*x+c)-f^2*exp(3*d*x+3*c)-d*e*f*exp(d*x+c)+I*f^2-f^2*exp(d*x+c))/(exp(d*x+c)+I)/(exp(d*x+c)-I)^3/d^3/a-5/3/a/d^2*f*ln(exp(d*x+c)-I)*e-1/a/d^2*f*e*ln(exp(d*x+c)+I)+8/3/a/d^2*f*ln(exp(d*x+c))*e+5/3/a/d^3*f^2*c*ln(exp(d*x+c)-I)+1/a/d^3*f^2*c*ln(exp(d*x+c)+I)-8/3/a/d^3*f^2*c*ln(exp(d*x+c))+4/3*f^2*x^2/a/d+8/3/a/d^2*f^2*c*x+4/3/a/d^3*f^2*c^2-5/3/a/d^2*f^2*ln(1+I*exp(d*x+c))*x-5/3/a/d^3*f^2*ln(1+I*exp(d*x+c))*c-5/3*f^2*polylog(2,-I*exp(d*x+c))/a/d^3-1/a/d^2*f^2*ln(1-I*exp(d*x+c))*x-1/a/d^3*f^2*ln(1-I*exp(d*x+c))*c-f^2*polylog(2,I*exp(d*x+c))/a/d^3","A"
279,1,143,141,0.267000," ","int((f*x+e)*sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{4 f x}{3 a d}+\frac{4 f c}{3 a \,d^{2}}-\frac{i \left(-8 d f x \,{\mathrm e}^{d x +c}+f \,{\mathrm e}^{3 d x +3 c}-8 d e \,{\mathrm e}^{d x +c}+f \,{\mathrm e}^{d x +c}+4 i d f x +4 i d e \right)}{3 \left({\mathrm e}^{d x +c}+i\right) \left({\mathrm e}^{d x +c}-i\right)^{3} d^{2} a}-\frac{f \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{2}}-\frac{5 f \ln \left({\mathrm e}^{d x +c}-i\right)}{6 a \,d^{2}}"," ",0,"4/3*f*x/a/d+4/3*f/a/d^2*c-1/3*I*(-8*d*f*x*exp(d*x+c)+f*exp(3*d*x+3*c)-8*d*e*exp(d*x+c)+f*exp(d*x+c)+4*I*d*f*x+4*I*d*e)/(exp(d*x+c)+I)/(exp(d*x+c)-I)^3/d^2/a-1/2*f/a/d^2*ln(exp(d*x+c)+I)-5/6*f/a/d^2*ln(exp(d*x+c)-I)","A"
280,1,75,41,0.093000," ","int(sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x)","\frac{\frac{2}{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4 i}-\frac{2}{3 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{3}}+\frac{i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{2}}+\frac{3}{2 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}}{d a}"," ",0,"2/d/a*(1/4/(tanh(1/2*d*x+1/2*c)+I)-1/3/(-I+tanh(1/2*d*x+1/2*c))^3+1/2*I/(-I+tanh(1/2*d*x+1/2*c))^2+3/4/(-I+tanh(1/2*d*x+1/2*c)))","A"
281,0,0,32,0.394000," ","int(sech(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
282,0,0,32,1.980000," ","int(sech(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{2}}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
283,1,2026,589,0.500000," ","int((f*x+e)^3*sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","-\frac{9 i \ln \left(1+i {\mathrm e}^{d x +c}\right) c \,e^{2} f}{8 a \,d^{2}}+\frac{9 i \ln \left(1-i {\mathrm e}^{d x +c}\right) e \,f^{2} x^{2}}{8 a d}-\frac{9 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{8 a \,d^{3}}+\frac{9 i e \,f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{8 a \,d^{3}}-\frac{9 i e^{2} f c \ln \left({\mathrm e}^{d x +c}+i\right)}{8 a \,d^{2}}-\frac{9 i \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{2} e \,f^{2}}{8 a \,d^{3}}+\frac{9 i \polylog \left(2, i {\mathrm e}^{d x +c}\right) e \,f^{2} x}{4 a \,d^{2}}+\frac{9 i \ln \left(1-i {\mathrm e}^{d x +c}\right) e^{2} f x}{8 a d}+\frac{9 i \ln \left(1-i {\mathrm e}^{d x +c}\right) c \,e^{2} f}{8 a \,d^{2}}+\frac{9 i e^{2} f c \ln \left({\mathrm e}^{d x +c}-i\right)}{8 d^{2} a}+\frac{9 i e \,f^{2} c^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right)}{8 d^{3} a}-\frac{9 i e^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{8 d a}-\frac{9 i e \,f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{8 d a}-\frac{9 i e \,f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{4 d^{2} a}+\frac{3 i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}-i\right)}{8 d^{4} a}+\frac{9 i e \,f^{2} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{4 d^{3} a}-\frac{9 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x^{2}}{8 d^{2} a}-\frac{3 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{3}}{8 d a}-\frac{9 i f^{3} \polylog \left(4, -i {\mathrm e}^{d x +c}\right)}{4 a \,d^{4}}+\frac{3 d^{3} e^{3} {\mathrm e}^{d x +c}+2 d^{3} e^{3} {\mathrm e}^{3 d x +3 c}+3 d^{3} e^{3} {\mathrm e}^{5 d x +5 c}-8 i d^{2} e \,f^{2} x -22 i d^{2} e^{2} f \,{\mathrm e}^{2 d x +2 c}+6 i d^{3} f^{3} x^{3} {\mathrm e}^{2 d x +2 c}-6 i d^{3} f^{3} x^{3} {\mathrm e}^{4 d x +4 c}-18 i d^{2} f^{3} x^{2} {\mathrm e}^{4 d x +4 c}-18 i d^{2} e^{2} f \,{\mathrm e}^{4 d x +4 c}-22 i d^{2} f^{3} x^{2} {\mathrm e}^{2 d x +2 c}+9 d^{3} e \,f^{2} x^{2} {\mathrm e}^{d x +c}+9 d^{3} e^{2} f x \,{\mathrm e}^{d x +c}-2 d^{2} e \,f^{2} x \,{\mathrm e}^{d x +c}+2 i f^{3}-2 f^{3} {\mathrm e}^{d x +c}+2 i f^{3} {\mathrm e}^{4 d x +4 c}+4 i f^{3} {\mathrm e}^{2 d x +2 c}-44 i d^{2} e \,f^{2} x \,{\mathrm e}^{2 d x +2 c}-18 i d^{3} e \,f^{2} x^{2} {\mathrm e}^{4 d x +4 c}+6 d^{3} e \,f^{2} x^{2} {\mathrm e}^{3 d x +3 c}+6 d^{3} e^{2} f x \,{\mathrm e}^{3 d x +3 c}+9 d^{3} e \,f^{2} x^{2} {\mathrm e}^{5 d x +5 c}+9 d^{3} e^{2} f x \,{\mathrm e}^{5 d x +5 c}+18 d^{2} e \,f^{2} x \,{\mathrm e}^{5 d x +5 c}+16 d^{2} e \,f^{2} x \,{\mathrm e}^{3 d x +3 c}-6 i d^{3} e^{3} {\mathrm e}^{4 d x +4 c}+6 i d^{3} e^{3} {\mathrm e}^{2 d x +2 c}-2 f^{3} {\mathrm e}^{5 d x +5 c}-4 f^{3} {\mathrm e}^{3 d x +3 c}-d^{2} f^{3} x^{2} {\mathrm e}^{d x +c}-d^{2} e^{2} f \,{\mathrm e}^{d x +c}-2 d \,f^{3} x \,{\mathrm e}^{d x +c}-2 d e \,f^{2} {\mathrm e}^{d x +c}+3 d^{3} f^{3} x^{3} {\mathrm e}^{d x +c}-18 i d^{3} e^{2} f x \,{\mathrm e}^{4 d x +4 c}+18 i d^{3} e^{2} f x \,{\mathrm e}^{2 d x +2 c}-36 i d^{2} e \,f^{2} x \,{\mathrm e}^{4 d x +4 c}+18 i d^{3} e \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}-4 d e \,f^{2} {\mathrm e}^{3 d x +3 c}+3 d^{3} f^{3} x^{3} {\mathrm e}^{5 d x +5 c}+9 d^{2} f^{3} x^{2} {\mathrm e}^{5 d x +5 c}+8 d^{2} f^{3} x^{2} {\mathrm e}^{3 d x +3 c}+9 d^{2} e^{2} f \,{\mathrm e}^{5 d x +5 c}+8 d^{2} e^{2} f \,{\mathrm e}^{3 d x +3 c}-2 d \,f^{3} x \,{\mathrm e}^{5 d x +5 c}-4 d \,f^{3} x \,{\mathrm e}^{3 d x +3 c}-2 d e \,f^{2} {\mathrm e}^{5 d x +5 c}+2 d^{3} f^{3} x^{3} {\mathrm e}^{3 d x +3 c}-4 i d^{2} e^{2} f -4 i d^{2} f^{3} x^{2}}{4 \left({\mathrm e}^{d x +c}+i\right)^{2} \left({\mathrm e}^{d x +c}-i\right)^{4} d^{4} a}-\frac{7 i f^{3} c \ln \left({\mathrm e}^{d x +c}-i\right)}{2 a \,d^{4}}-\frac{9 i e \,f^{2} \polylog \left(3, i {\mathrm e}^{d x +c}\right)}{4 a \,d^{3}}+\frac{9 i f^{3} \polylog \left(3, -i {\mathrm e}^{d x +c}\right) x}{4 a \,d^{3}}+\frac{9 i f^{3} \polylog \left(2, i {\mathrm e}^{d x +c}\right) x^{2}}{8 a \,d^{2}}-\frac{9 i f^{3} \polylog \left(3, i {\mathrm e}^{d x +c}\right) x}{4 a \,d^{3}}-\frac{9 i e^{2} f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{8 a \,d^{2}}+\frac{9 i e^{2} f \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{8 a \,d^{2}}+\frac{7 i f^{3} c \ln \left(1+i {\mathrm e}^{d x +c}\right)}{2 a \,d^{4}}-\frac{2 i e \,f^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{2 i f^{3} c x}{a \,d^{3}}-\frac{3 i f^{3} c^{3} \ln \left({\mathrm e}^{d x +c}+i\right)}{8 a \,d^{4}}+\frac{2 i f^{3} c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{7 i e \,f^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{2 a \,d^{3}}-\frac{3 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{3}}{8 a d}-\frac{3 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{3}}{8 a \,d^{4}}+\frac{3 i f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) x^{3}}{8 a d}+\frac{3 i f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{3}}{8 a \,d^{4}}+\frac{7 i f^{3} \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{2 a \,d^{3}}+\frac{3 i e^{3} \ln \left({\mathrm e}^{d x +c}+i\right)}{8 a d}-\frac{i f^{3} x^{2}}{a \,d^{2}}-\frac{i f^{3} c^{2}}{a \,d^{4}}+\frac{9 i f^{3} \polylog \left(4, i {\mathrm e}^{d x +c}\right)}{4 a \,d^{4}}+\frac{7 i f^{3} \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{2 a \,d^{4}}+\frac{3 i f^{3} c \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{4}}-\frac{3 i e \,f^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 a \,d^{3}}-\frac{3 i f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{2 a \,d^{3}}-\frac{3 i f^{3} \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{2 a \,d^{4}}-\frac{3 i f^{3} \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{2 a \,d^{4}}"," ",0,"-9/4*I*f^3*polylog(4,-I*exp(d*x+c))/a/d^4+9/4*I*f^3*polylog(4,I*exp(d*x+c))/a/d^4+1/4*(2*I*f^3-44*I*d^2*e*f^2*x*exp(2*d*x+2*c)-18*I*d^3*e*f^2*x^2*exp(4*d*x+4*c)-18*I*d^3*e^2*f*x*exp(4*d*x+4*c)+18*I*d^3*e^2*f*x*exp(2*d*x+2*c)-36*I*d^2*e*f^2*x*exp(4*d*x+4*c)-4*I*d^2*e^2*f-4*I*d^2*f^3*x^2-8*I*d^2*e*f^2*x+3*d^3*e^3*exp(d*x+c)+2*d^3*e^3*exp(3*d*x+3*c)+3*d^3*e^3*exp(5*d*x+5*c)+2*I*f^3*exp(4*d*x+4*c)+4*I*f^3*exp(2*d*x+2*c)+9*d^3*e*f^2*x^2*exp(d*x+c)+9*d^3*e^2*f*x*exp(d*x+c)-2*d^2*e*f^2*x*exp(d*x+c)-2*f^3*exp(d*x+c)-22*I*d^2*e^2*f*exp(2*d*x+2*c)+6*I*d^3*f^3*x^3*exp(2*d*x+2*c)-6*I*d^3*f^3*x^3*exp(4*d*x+4*c)-18*I*d^2*f^3*x^2*exp(4*d*x+4*c)-18*I*d^2*e^2*f*exp(4*d*x+4*c)+18*I*d^3*e*f^2*x^2*exp(2*d*x+2*c)-22*I*d^2*f^3*x^2*exp(2*d*x+2*c)+6*d^3*e*f^2*x^2*exp(3*d*x+3*c)+6*d^3*e^2*f*x*exp(3*d*x+3*c)+9*d^3*e*f^2*x^2*exp(5*d*x+5*c)+9*d^3*e^2*f*x*exp(5*d*x+5*c)+18*d^2*e*f^2*x*exp(5*d*x+5*c)+16*d^2*e*f^2*x*exp(3*d*x+3*c)-2*f^3*exp(5*d*x+5*c)-4*f^3*exp(3*d*x+3*c)-d^2*f^3*x^2*exp(d*x+c)-d^2*e^2*f*exp(d*x+c)-2*d*f^3*x*exp(d*x+c)-2*d*e*f^2*exp(d*x+c)+3*d^3*f^3*x^3*exp(d*x+c)-4*d*e*f^2*exp(3*d*x+3*c)+3*d^3*f^3*x^3*exp(5*d*x+5*c)+9*d^2*f^3*x^2*exp(5*d*x+5*c)+8*d^2*f^3*x^2*exp(3*d*x+3*c)+9*d^2*e^2*f*exp(5*d*x+5*c)+8*d^2*e^2*f*exp(3*d*x+3*c)-2*d*f^3*x*exp(5*d*x+5*c)-4*d*f^3*x*exp(3*d*x+3*c)-2*d*e*f^2*exp(5*d*x+5*c)-6*I*d^3*e^3*exp(4*d*x+4*c)+6*I*d^3*e^3*exp(2*d*x+2*c)+2*d^3*f^3*x^3*exp(3*d*x+3*c))/(exp(d*x+c)+I)^2/(exp(d*x+c)-I)^4/d^4/a+9/8*I/a/d^3*ln(1+I*exp(d*x+c))*c^2*e*f^2-9/8*I/a/d^3*e*f^2*c^2*ln(exp(d*x+c)-I)+9/8*I/a/d^3*e*f^2*c^2*ln(exp(d*x+c)+I)+9/8*I/a/d^2*e^2*f*c*ln(exp(d*x+c)-I)-9/8*I/a/d^2*e^2*f*c*ln(exp(d*x+c)+I)-9/8*I/a/d^3*ln(1-I*exp(d*x+c))*c^2*e*f^2-9/8*I/a/d*ln(1+I*exp(d*x+c))*e*f^2*x^2-9/4*I/a/d^2*polylog(2,-I*exp(d*x+c))*e*f^2*x+9/8*I/a/d*ln(1-I*exp(d*x+c))*e*f^2*x^2+9/4*I/a/d^2*polylog(2,I*exp(d*x+c))*e*f^2*x-9/8*I/a/d*ln(1+I*exp(d*x+c))*e^2*f*x-9/8*I/a/d^2*ln(1+I*exp(d*x+c))*c*e^2*f+9/8*I/a/d*ln(1-I*exp(d*x+c))*e^2*f*x+9/8*I/a/d^2*ln(1-I*exp(d*x+c))*c*e^2*f-I/a/d^2*f^3*x^2-I/a/d^4*f^3*c^2+7/2*I/a/d^4*f^3*polylog(2,-I*exp(d*x+c))-3/2*I/a/d^4*f^3*polylog(2,I*exp(d*x+c))-3/8*I/a/d*e^3*ln(exp(d*x+c)-I)+3/8*I/a/d*e^3*ln(exp(d*x+c)+I)-9/8*I/a/d^2*e^2*f*polylog(2,-I*exp(d*x+c))+9/8*I/a/d^2*e^2*f*polylog(2,I*exp(d*x+c))+2*I/a/d^4*f^3*c*ln(exp(d*x+c))-7/2*I/a/d^4*f^3*c*ln(exp(d*x+c)-I)+3/2*I/a/d^4*f^3*c*ln(exp(d*x+c)+I)+3/8*I/a/d^4*f^3*c^3*ln(exp(d*x+c)-I)-2*I/a/d^3*f^3*c*x-3/2*I/a/d^3*e*f^2*ln(exp(d*x+c)+I)+9/4*I/a/d^3*e*f^2*polylog(3,-I*exp(d*x+c))-9/4*I/a/d^3*e*f^2*polylog(3,I*exp(d*x+c))-2*I/a/d^3*e*f^2*ln(exp(d*x+c))+7/2*I/a/d^3*e*f^2*ln(exp(d*x+c)-I)+7/2*I/a/d^3*f^3*ln(1+I*exp(d*x+c))*x+7/2*I/a/d^4*f^3*ln(1+I*exp(d*x+c))*c-3/2*I/a/d^3*f^3*ln(1-I*exp(d*x+c))*x-3/2*I/a/d^4*f^3*ln(1-I*exp(d*x+c))*c-3/8*I/a/d*f^3*ln(1+I*exp(d*x+c))*x^3-3/8*I/a/d^4*f^3*ln(1+I*exp(d*x+c))*c^3-9/8*I/a/d^2*f^3*polylog(2,-I*exp(d*x+c))*x^2+9/4*I/a/d^3*f^3*polylog(3,-I*exp(d*x+c))*x+3/8*I/a/d*f^3*ln(1-I*exp(d*x+c))*x^3+3/8*I/a/d^4*f^3*ln(1-I*exp(d*x+c))*c^3+9/8*I/a/d^2*f^3*polylog(2,I*exp(d*x+c))*x^2-9/4*I/a/d^3*f^3*polylog(3,I*exp(d*x+c))*x-3/8*I/a/d^4*f^3*c^3*ln(exp(d*x+c)+I)","B"
284,1,1044,373,0.361000," ","int((f*x+e)^2*sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{9 d^{2} f^{2} x^{2} {\mathrm e}^{d x +c}+9 d^{2} e^{2} {\mathrm e}^{d x +c}+6 d^{2} f^{2} x^{2} {\mathrm e}^{3 d x +3 c}+18 d \,f^{2} x \,{\mathrm e}^{5 d x +5 c}+18 d e f \,{\mathrm e}^{5 d x +5 c}+9 d^{2} f^{2} x^{2} {\mathrm e}^{5 d x +5 c}-4 f^{2} {\mathrm e}^{3 d x +3 c}-2 d \,f^{2} x \,{\mathrm e}^{d x +c}-2 d e f \,{\mathrm e}^{d x +c}+16 d \,f^{2} x \,{\mathrm e}^{3 d x +3 c}+16 d e f \,{\mathrm e}^{3 d x +3 c}+18 d^{2} e f x \,{\mathrm e}^{d x +c}-2 f^{2} {\mathrm e}^{d x +c}+6 d^{2} e^{2} {\mathrm e}^{3 d x +3 c}+9 d^{2} e^{2} {\mathrm e}^{5 d x +5 c}-44 i d e f \,{\mathrm e}^{2 d x +2 c}-18 i d^{2} f^{2} x^{2} {\mathrm e}^{4 d x +4 c}-36 i d \,f^{2} x \,{\mathrm e}^{4 d x +4 c}-36 i d e f \,{\mathrm e}^{4 d x +4 c}-44 i d \,f^{2} x \,{\mathrm e}^{2 d x +2 c}+18 i d^{2} f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+36 i d^{2} e f x \,{\mathrm e}^{2 d x +2 c}-36 i d^{2} e f x \,{\mathrm e}^{4 d x +4 c}-2 f^{2} {\mathrm e}^{5 d x +5 c}+12 d^{2} e f x \,{\mathrm e}^{3 d x +3 c}+18 d^{2} e f x \,{\mathrm e}^{5 d x +5 c}-18 i d^{2} e^{2} {\mathrm e}^{4 d x +4 c}+18 i d^{2} e^{2} {\mathrm e}^{2 d x +2 c}-8 i d \,f^{2} x -8 i d f e}{12 \left({\mathrm e}^{d x +c}+i\right)^{2} \left({\mathrm e}^{d x +c}-i\right)^{4} d^{3} a}-\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) c^{2} f^{2}}{8 d^{3} a}+\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) c e f}{4 d^{2} a}+\frac{3 i e f \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{4 d^{2} a}+\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) e f x}{4 d a}+\frac{3 i c^{2} f^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{8 d^{3} a}-\frac{3 i e f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{4 d a}+\frac{3 i e f c \ln \left({\mathrm e}^{d x +c}-i\right)}{4 d^{2} a}-\frac{2 i f^{2} \ln \left({\mathrm e}^{d x +c}\right)}{3 d^{3} a}-\frac{i f^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{2 d^{3} a}-\frac{3 i f^{2} \polylog \left(2, -i {\mathrm e}^{d x +c}\right) x}{4 d^{2} a}-\frac{3 i e f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{4 d^{2} a}-\frac{3 i e f c \ln \left({\mathrm e}^{d x +c}+i\right)}{4 d^{2} a}-\frac{3 i f^{2} \polylog \left(3, i {\mathrm e}^{d x +c}\right)}{4 a \,d^{3}}+\frac{3 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) c^{2}}{8 d^{3} a}-\frac{3 i \ln \left({\mathrm e}^{d x +c}-i\right) e^{2}}{8 d a}-\frac{3 i f^{2} c^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{8 d^{3} a}+\frac{3 i e^{2} \ln \left({\mathrm e}^{d x +c}+i\right)}{8 d a}-\frac{3 i e f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{4 d^{2} a}+\frac{3 i f^{2} \polylog \left(3, -i {\mathrm e}^{d x +c}\right)}{4 a \,d^{3}}+\frac{7 i f^{2} \ln \left({\mathrm e}^{d x +c}-i\right)}{6 d^{3} a}-\frac{3 i f^{2} \ln \left(1+i {\mathrm e}^{d x +c}\right) x^{2}}{8 d a}+\frac{3 i \ln \left(1-i {\mathrm e}^{d x +c}\right) f^{2} x^{2}}{8 d a}+\frac{3 i \polylog \left(2, i {\mathrm e}^{d x +c}\right) f^{2} x}{4 d^{2} a}"," ",0,"1/12*(9*d^2*f^2*x^2*exp(d*x+c)+9*d^2*e^2*exp(d*x+c)+6*d^2*f^2*x^2*exp(3*d*x+3*c)+18*d*f^2*x*exp(5*d*x+5*c)+18*d*e*f*exp(5*d*x+5*c)+9*d^2*f^2*x^2*exp(5*d*x+5*c)-18*I*d^2*e^2*exp(4*d*x+4*c)+18*I*d^2*e^2*exp(2*d*x+2*c)-4*f^2*exp(3*d*x+3*c)-2*d*f^2*x*exp(d*x+c)-2*d*e*f*exp(d*x+c)+16*d*f^2*x*exp(3*d*x+3*c)+16*d*e*f*exp(3*d*x+3*c)+18*d^2*e*f*x*exp(d*x+c)-2*f^2*exp(d*x+c)-44*I*d*e*f*exp(2*d*x+2*c)+6*d^2*e^2*exp(3*d*x+3*c)+9*d^2*e^2*exp(5*d*x+5*c)-2*f^2*exp(5*d*x+5*c)+36*I*d^2*e*f*x*exp(2*d*x+2*c)-36*I*d^2*e*f*x*exp(4*d*x+4*c)-18*I*d^2*f^2*x^2*exp(4*d*x+4*c)-36*I*d*f^2*x*exp(4*d*x+4*c)-36*I*d*e*f*exp(4*d*x+4*c)-44*I*d*f^2*x*exp(2*d*x+2*c)+12*d^2*e*f*x*exp(3*d*x+3*c)+18*d^2*e*f*x*exp(5*d*x+5*c)+18*I*d^2*f^2*x^2*exp(2*d*x+2*c)-8*I*d*f^2*x-8*I*d*f*e)/(exp(d*x+c)+I)^2/(exp(d*x+c)-I)^4/d^3/a-3/8*I/d^3/a*ln(1-I*exp(d*x+c))*c^2*f^2+3/4*I/d^2/a*ln(1-I*exp(d*x+c))*c*e*f+3/4*I/d/a*ln(1-I*exp(d*x+c))*e*f*x+3/8*I/d^3/a*c^2*f^2*ln(exp(d*x+c)+I)-3/4*I/d^2/a*e*f*polylog(2,-I*exp(d*x+c))-3/4*I/d/a*ln(1+I*exp(d*x+c))*e*f*x+3/4*I*f^2*polylog(3,-I*exp(d*x+c))/a/d^3+3/4*I/d^2/a*e*f*polylog(2,I*exp(d*x+c))+3/4*I/d^2/a*e*f*c*ln(exp(d*x+c)-I)-2/3*I/d^3/a*f^2*ln(exp(d*x+c))-1/2*I/d^3/a*f^2*ln(exp(d*x+c)+I)-3/4*I/d^2/a*ln(1+I*exp(d*x+c))*c*e*f-3/4*I/d^2/a*e*f*c*ln(exp(d*x+c)+I)-3/4*I/d^2/a*polylog(2,-I*exp(d*x+c))*f^2*x+3/8*I/d^3/a*ln(1+I*exp(d*x+c))*c^2*f^2-3/8*I/d/a*e^2*ln(exp(d*x+c)-I)-3/8*I/d^3/a*c^2*f^2*ln(exp(d*x+c)-I)+3/8*I/d/a*e^2*ln(exp(d*x+c)+I)-3/4*I*f^2*polylog(3,I*exp(d*x+c))/a/d^3+7/6*I/d^3/a*f^2*ln(exp(d*x+c)-I)-3/8*I/d/a*ln(1+I*exp(d*x+c))*f^2*x^2+3/8*I/d/a*ln(1-I*exp(d*x+c))*f^2*x^2+3/4*I/d^2/a*polylog(2,I*exp(d*x+c))*f^2*x","B"
285,1,445,203,0.355000," ","int((f*x+e)*sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{-18 i f \,{\mathrm e}^{4 d x +4 c}+6 d f x \,{\mathrm e}^{3 d x +3 c}-18 i d f x \,{\mathrm e}^{4 d x +4 c}+18 i d e \,{\mathrm e}^{2 d x +2 c}+9 d f x \,{\mathrm e}^{5 d x +5 c}+9 f \,{\mathrm e}^{5 d x +5 c}+8 f \,{\mathrm e}^{3 d x +3 c}-f \,{\mathrm e}^{d x +c}+9 d e \,{\mathrm e}^{5 d x +5 c}+18 i d f x \,{\mathrm e}^{2 d x +2 c}-4 i f +9 d f x \,{\mathrm e}^{d x +c}+9 d e \,{\mathrm e}^{d x +c}-22 i f \,{\mathrm e}^{2 d x +2 c}-18 i d e \,{\mathrm e}^{4 d x +4 c}+6 d e \,{\mathrm e}^{3 d x +3 c}}{12 \left({\mathrm e}^{d x +c}+i\right)^{2} \left({\mathrm e}^{d x +c}-i\right)^{4} d^{2} a}-\frac{3 i \ln \left({\mathrm e}^{d x +c}-i\right) e}{8 d a}+\frac{3 i e \ln \left({\mathrm e}^{d x +c}+i\right)}{8 a d}-\frac{3 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{8 d a}-\frac{3 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{8 d^{2} a}-\frac{3 i f \polylog \left(2, -i {\mathrm e}^{d x +c}\right)}{8 a \,d^{2}}+\frac{3 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{8 a d}+\frac{3 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{8 a \,d^{2}}+\frac{3 i f \polylog \left(2, i {\mathrm e}^{d x +c}\right)}{8 a \,d^{2}}+\frac{3 i f c \ln \left({\mathrm e}^{d x +c}-i\right)}{8 d^{2} a}-\frac{3 i f c \ln \left({\mathrm e}^{d x +c}+i\right)}{8 a \,d^{2}}"," ",0,"1/12*(-18*I*f*exp(4*d*x+4*c)+6*d*f*x*exp(3*d*x+3*c)-18*I*d*f*x*exp(4*d*x+4*c)+18*I*d*e*exp(2*d*x+2*c)+9*d*f*x*exp(5*d*x+5*c)+9*f*exp(5*d*x+5*c)+8*f*exp(3*d*x+3*c)-f*exp(d*x+c)+9*d*e*exp(5*d*x+5*c)+18*I*d*f*x*exp(2*d*x+2*c)-4*I*f+9*d*f*x*exp(d*x+c)+9*d*e*exp(d*x+c)-22*I*f*exp(2*d*x+2*c)-18*I*d*e*exp(4*d*x+4*c)+6*d*e*exp(3*d*x+3*c))/(exp(d*x+c)+I)^2/(exp(d*x+c)-I)^4/d^2/a-3/8*I/a/d*e*ln(exp(d*x+c)-I)+3/8*I/a/d*e*ln(exp(d*x+c)+I)-3/8*I/a/d*f*ln(1+I*exp(d*x+c))*x-3/8*I/a/d^2*f*ln(1+I*exp(d*x+c))*c-3/8*I*f*polylog(2,-I*exp(d*x+c))/a/d^2+3/8*I/a/d*f*ln(1-I*exp(d*x+c))*x+3/8*I/a/d^2*f*ln(1-I*exp(d*x+c))*c+3/8*I*f*polylog(2,I*exp(d*x+c))/a/d^2+3/8*I/a/d^2*f*c*ln(exp(d*x+c)-I)-3/8*I/a/d^2*f*c*ln(exp(d*x+c)+I)","B"
286,1,180,77,0.112000," ","int(sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x)","\frac{i}{4 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{2}}+\frac{3 i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)}{8 d a}-\frac{1}{4 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)}+\frac{i}{2 d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{4}}-\frac{3 i \ln \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{8 d a}-\frac{3 i}{2 d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{2}}+\frac{1}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{3}}-\frac{1}{d a \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}"," ",0,"1/4*I/d/a/(tanh(1/2*d*x+1/2*c)+I)^2+3/8*I/d/a*ln(tanh(1/2*d*x+1/2*c)+I)-1/4/d/a/(tanh(1/2*d*x+1/2*c)+I)+1/2*I/d/a/(-I+tanh(1/2*d*x+1/2*c))^4-3/8*I/d/a*ln(-I+tanh(1/2*d*x+1/2*c))-3/2*I/d/a/(-I+tanh(1/2*d*x+1/2*c))^2+1/d/a/(-I+tanh(1/2*d*x+1/2*c))^3-1/d/a/(-I+tanh(1/2*d*x+1/2*c))","B"
287,0,0,32,2.025000," ","int(sech(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x)","F"
288,0,0,32,2.967000," ","int(sech(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{3}}{\left(f x +e \right)^{2} \left(a +i a \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x)","F"
289,0,0,330,0.543000," ","int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
290,0,0,244,0.367000," ","int((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
291,1,412,156,0.136000," ","int((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{f \,x^{2}}{2 b}+\frac{e x}{b}-\frac{f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b}+\frac{2 f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b}+\frac{e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d b}-\frac{2 e \ln \left({\mathrm e}^{d x +c}\right)}{d b}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d b}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b}+\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d b}+\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b}+\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b}+\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b}-\frac{2 f c x}{d b}-\frac{f \,c^{2}}{d^{2} b}"," ",0,"-1/2*f*x^2/b+e*x/b-1/d^2/b*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/b*f*c*ln(exp(d*x+c))+1/d/b*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/b*e*ln(exp(d*x+c))+1/d/b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d/b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2/b*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/b*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d/b*f*c*x-1/d^2/b*f*c^2","B"
292,1,19,18,0.003000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{\ln \left(a +b \sinh \left(d x +c \right)\right)}{b d}"," ",0,"ln(a+b*sinh(d*x+c))/b/d","A"
293,0,0,28,0.287000," ","int(cosh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
294,0,0,485,0.506000," ","int((f*x+e)^3*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
295,0,0,357,0.396000," ","int((f*x+e)^2*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
296,1,901,230,0.170000," ","int((f*x+e)*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{a f \,x^{2}}{2 b^{2}}-\frac{a e x}{b^{2}}+\frac{\left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 d^{2} b}+\frac{\left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 d^{2} b}-\frac{2 a^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{2} \sqrt{a^{2}+b^{2}}}-\frac{2 e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \sqrt{a^{2}+b^{2}}}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \sqrt{a^{2}+b^{2}}}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \sqrt{a^{2}+b^{2}}}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \sqrt{a^{2}+b^{2}}}+\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}}-\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 a^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}}"," ",0,"-1/2*a*f*x^2/b^2-a*e*x/b^2+1/2*(d*f*x+d*e-f)/d^2/b*exp(d*x+c)+1/2*(d*f*x+d*e+f)/d^2/b*exp(-d*x-c)-2/d*a^2/b^2*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d^2*a^2/b^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
297,1,174,63,0.071000," ","int(cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}+\frac{2 a^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}}"," ",0,"-1/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+2/d*a^2/b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+2/d/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","B"
298,0,0,30,0.183000," ","int(cosh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh^{2}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
299,0,0,604,0.717000," ","int((f*x+e)^3*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
300,0,0,447,0.533000," ","int((f*x+e)^2*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
301,1,975,278,0.211000," ","int((f*x+e)*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{f \,x^{2}}{2 b}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3}}-\frac{2 f \,a^{2} c x}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3}}-\frac{a^{2} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{3}}+\frac{2 a^{2} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{3}}+\frac{a^{2} e x}{b^{3}}+\frac{e x}{b}-\frac{a^{2} f \,x^{2}}{2 b^{3}}+\frac{\left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 d^{2} b}+\frac{\left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 d^{2} b}-\frac{f \,c^{2}}{d^{2} b}+\frac{e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d b}-\frac{2 e \ln \left({\mathrm e}^{d x +c}\right)}{d b}+\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b}+\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b}+\frac{a \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 b^{2} d^{2}}-\frac{2 f c x}{d b}-\frac{f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b}+\frac{2 f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d b}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b}+\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d b}+\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b}-\frac{a \left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 b^{2} d^{2}}-\frac{f \,a^{2} c^{2}}{d^{2} b^{3}}+\frac{a^{2} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{3}}-\frac{2 a^{2} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{3}}+\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3}}"," ",0,"-1/2*f*x^2/b+1/d^2/b^3*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/d/b^3*f*a^2*c*x+1/d/b^3*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b^3*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d/b^3*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/b^3*a^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/b^3*a^2*f*c*ln(exp(d*x+c))+a^2*e*x/b^3+e*x/b-1/2*a^2*f*x^2/b^3+1/16*(2*d*f*x+2*d*e-f)/d^2/b*exp(2*d*x+2*c)+1/16*(2*d*f*x+2*d*e+f)/d^2/b*exp(-2*d*x-2*c)-1/d^2/b*f*c^2+1/d/b*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/b*e*ln(exp(d*x+c))+1/d^2/b*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/b*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/2*a*(d*f*x+d*e+f)/b^2/d^2*exp(-d*x-c)-2/d/b*f*c*x-1/d^2/b*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/b*f*c*ln(exp(d*x+c))+1/d/b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d/b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/2*a*(d*f*x+d*e-f)/b^2/d^2*exp(d*x+c)-1/d^2/b^3*f*a^2*c^2+1/d^2/b^3*a^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/b^3*a^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d/b^3*a^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/b^3*a^2*e*ln(exp(d*x+c))","B"
302,1,291,57,0.073000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right) a^{2}}{d \,b^{3}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d b}"," ",0,"1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2-1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/b^3*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)*a^2+1/d/b*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)","B"
303,0,0,30,0.355000," ","int(cosh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh^{3}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
304,0,0,737,0.566000," ","int((f*x+e)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
305,0,0,525,0.463000," ","int((f*x+e)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
306,1,954,313,0.276000," ","int((f*x+e)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{2 e b \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 e b \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{4 e a \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f b \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f b \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(1+i {\mathrm e}^{d x +c}\right) b x}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(1+i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) a x}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(1-i {\mathrm e}^{d x +c}\right) b x}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(1-i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) a x}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 i f \dilog \left(1-i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \dilog \left(1+i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 i f \dilog \left(1+i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \dilog \left(1-i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f c b \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f c b \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{4 f c a \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}"," ",0,"2/d*e*b/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d*e/(2*a^2+2*b^2)*b*ln(1+exp(2*d*x+2*c))+4/d*e/(2*a^2+2*b^2)*a*arctan(exp(d*x+c))+2/d*f*b/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d^2*f*b/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/d*f*b/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/d^2*f*b/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2*f*b/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d^2*f*b/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*b*x-2/d^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*b*c-2*I/d*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*x-2/d*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*x-2/d^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*c+2*I/d*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*x-2*I/d^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*a-2/d^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*b-2*I/d^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*c-2/d^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*b+2*I/d^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*a+2*I/d^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*c-2/d^2*f*c*b/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2*f*c/(2*a^2+2*b^2)*b*ln(1+exp(2*d*x+2*c))-4/d^2*f*c/(2*a^2+2*b^2)*a*arctan(exp(d*x+c))","B"
307,1,100,69,0.003000," ","int(sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{b \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(a^{2}+b^{2}\right)}-\frac{b \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{2}+b^{2}\right)}+\frac{2 a \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a^{2}+b^{2}\right)}"," ",0,"1/d*b/(a^2+b^2)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/d/(a^2+b^2)*b*ln(tanh(1/2*d*x+1/2*c)^2+1)+2/d/(a^2+b^2)*a*arctan(tanh(1/2*d*x+1/2*c))","A"
308,0,0,28,0.178000," ","int(sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
309,0,0,725,1.926000," ","int((f*x+e)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{sech}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
310,0,0,511,1.244000," ","int((f*x+e)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{sech}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
311,1,1928,275,0.274000," ","int((f*x+e)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{2 b^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{4 a^{2} b f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{b^{2} f a \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a^{2} c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a^{2} c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a^{2} x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a^{2} x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{a \,b^{2} f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{2 \left(a^{2}+b^{2}\right)^{2} d^{2}}-\frac{4 b^{3} f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{4 a^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{4} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{4} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{4} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 \left(f x +e \right) \left(-b \,{\mathrm e}^{d x +c}+a \right)}{d \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)}+\frac{2 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}-\frac{a^{3} f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right)^{2} d^{2}}+\frac{2 a^{4} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}"," ",0,"-2/(a^2+b^2)^(3/2)/d*b^4*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)^(1/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(5/2)/d^2*a^2*b^2*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-4/(a^2+b^2)/d^2*a^2*b*f/(2*a^2+2*b^2)*arctan(exp(d*x+c))-4/(a^2+b^2)^(1/2)/d^2*a^2*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(3/2)/d^2*b^4*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)^(1/2)/d^2*b^2*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(3/2)/d^2*b^4*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d^2*b^4*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)/d^2*b^2*f/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))+1/(a^2+b^2)/d^2*b^2*f/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2*c+2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2*c+2/(a^2+b^2)^(3/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-2/(a^2+b^2)^(3/2)/d*b^2*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2*x+2/(a^2+b^2)^(3/2)/d*b^2*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2*x-2/(a^2+b^2)/d^2*a^3*f/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))-1/2/(a^2+b^2)^2/d^2*a*b^2*f*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-4/(a^2+b^2)/d^2*b^3*f/(2*a^2+2*b^2)*arctan(exp(d*x+c))+2/(a^2+b^2)^(5/2)/d^2*a^4*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)/d^2*a^3*f/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2*(f*x+e)*(-b*exp(d*x+c)+a)/d/(a^2+b^2)/(1+exp(2*d*x+2*c))+2/(a^2+b^2)^(3/2)/d^2*b^4*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2-2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2-2/(a^2+b^2)^(3/2)/d^2*b^4*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/(a^2+b^2)^(3/2)/d^2*b^4*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/(a^2+b^2)^(3/2)/d*b^4*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/(a^2+b^2)^(3/2)/d*b^4*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-2/(a^2+b^2)^(3/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2/(a^2+b^2)^(1/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c))-1/(a^2+b^2)^2/d^2*a^3*f*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)","B"
312,1,90,72,0.003000," ","int(sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{\frac{2 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{2 \left(-a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}}{d}"," ",0,"1/d*(2*b^2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-2/(a^2+b^2)*(-a*tanh(1/2*d*x+1/2*c)-b)/(tanh(1/2*d*x+1/2*c)^2+1))","A"
313,0,0,30,0.802000," ","int(sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
314,0,0,878,1.304000," ","int((f*x+e)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{sech}\left(d x +c \right)^{3}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
315,1,2051,520,0.272000," ","int((f*x+e)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{2 b^{3} f c \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{6 a \,b^{2} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{a b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}\, \left(2 a^{2}+2 b^{2}\right)}-\frac{a \,b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{a^{3} b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{3 i a \,b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} e \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{3 i a \,b^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{a b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}\, \left(2 a^{2}+2 b^{2}\right)}+\frac{a \,b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}+\frac{a^{3} b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{i a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{6 a \,b^{2} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{3 i a \,b^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{3 i a \,b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{3 i a \,b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{3 i a \,b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{a d f x \,{\mathrm e}^{3 d x +3 c}+a d e \,{\mathrm e}^{3 d x +3 c}+2 b d f x \,{\mathrm e}^{2 d x +2 c}-a d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{3 d x +3 c}+2 b d e \,{\mathrm e}^{2 d x +2 c}-a d e \,{\mathrm e}^{d x +c}+b f \,{\mathrm e}^{2 d x +2 c}+a f \,{\mathrm e}^{d x +c}+b f}{d^{2} \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)^{2}}"," ",0,"2/d^2/(a^2+b^2)*b^3*f*c/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))-2/d^2/(a^2+b^2)*b^3*f*c/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/d/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-2/d/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c+2/d/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+6/d/(a^2+b^2)*a*b^2*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-2/d^2/(a^2+b^2)*a^3*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))-I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))+2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-2/d^2/(a^2+b^2)*b^3*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))+2/d/(a^2+b^2)*b^3*e/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/(a^2+b^2)*b^3*e/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))+2/d/(a^2+b^2)*a^3*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-6/d^2/(a^2+b^2)*a*b^2*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x+I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c+1/d/(a^2+b^2)^(1/2)*a*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/(a^2+b^2)^(3/2)*a*b^3*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/(a^2+b^2)^(3/2)*a^3*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3*I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))-3*I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-I/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-1/d^2/(a^2+b^2)^(1/2)*a*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/(a^2+b^2)^(3/2)*a*b^3*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/(a^2+b^2)^(3/2)*a^3*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3*I/d/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x+3*I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-3*I/d/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-3*I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c+(a*d*f*x*exp(3*d*x+3*c)+a*d*e*exp(3*d*x+3*c)+2*b*d*f*x*exp(2*d*x+2*c)-a*d*f*x*exp(d*x+c)+a*f*exp(3*d*x+3*c)+2*b*d*e*exp(2*d*x+2*c)-a*d*e*exp(d*x+c)+b*f*exp(2*d*x+2*c)+a*f*exp(d*x+c)+b*f)/d^2/(a^2+b^2)/(1+exp(2*d*x+2*c))^2","B"
316,1,468,115,0.001000," ","int(sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{b^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{b^{3} \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}"," ",0,"1/d*b^3/(a^4+2*a^2*b^2+b^4)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^3-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a*b^2-2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^2*b-2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*b^3+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^3+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a*b^2-1/d/(a^4+2*a^2*b^2+b^4)*b^3*ln(tanh(1/2*d*x+1/2*c)^2+1)+1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a^3+3/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a*b^2","B"
317,0,0,30,1.456000," ","int(sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
318,0,0,26,0.141000," ","int(x^m*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{x^{m} \left(\cosh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int(x^m*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
319,0,0,26,0.187000," ","int(x^m*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{x^{m} \left(\cosh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int(x^m*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
320,0,0,24,0.112000," ","int(x^m*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{x^{m} \cosh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int(x^m*cosh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
321,1,164,71,0.370000," ","int((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","-\frac{2 \left(f x +e \right) {\mathrm e}^{d x +c}}{b d \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}+\frac{f \ln \left({\mathrm e}^{d x +c}+\frac{a \sqrt{a^{2}+b^{2}}-a^{2}-b^{2}}{\sqrt{a^{2}+b^{2}}\, b}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} b}-\frac{f \ln \left({\mathrm e}^{d x +c}+\frac{a \sqrt{a^{2}+b^{2}}+a^{2}+b^{2}}{\sqrt{a^{2}+b^{2}}\, b}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} b}"," ",0,"-2*(f*x+e)/b/d*exp(d*x+c)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/(a^2+b^2)^(1/2)*f/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(1/2)-a^2-b^2)/(a^2+b^2)^(1/2)/b)-1/(a^2+b^2)^(1/2)*f/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(1/2)+a^2+b^2)/(a^2+b^2)^(1/2)/b)","B"
322,1,491,214,0.325000," ","int((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","-\frac{2 \left(x^{2} f^{2}+2 e f x +e^{2}\right) {\mathrm e}^{d x +c}}{b d \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}-\frac{4 f e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{2 f^{2} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{2 f^{2} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{3} b \sqrt{a^{2}+b^{2}}}-\frac{2 f^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{2 f^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{3} b \sqrt{a^{2}+b^{2}}}+\frac{2 f^{2} \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{3} b \sqrt{a^{2}+b^{2}}}-\frac{2 f^{2} \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{3} b \sqrt{a^{2}+b^{2}}}+\frac{4 f^{2} c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{3} b \sqrt{a^{2}+b^{2}}}"," ",0,"-2*(f^2*x^2+2*e*f*x+e^2)/b/d*exp(d*x+c)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-4/d^2/b*f*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d^2/b*f^2/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d^3/b*f^2/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/d^2/b*f^2/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-2/d^3/b*f^2/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^3/b*f^2/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d^3/b*f^2/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+4/d^3/b*f^2*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
323,0,0,318,0.543000," ","int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right)}{\left(a +b \sinh \left(d x +c \right)\right)^{2}}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","F"
324,1,164,71,0.000000," ","int((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","-\frac{2 \left(f x +e \right) {\mathrm e}^{d x +c}}{b d \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}+\frac{f \ln \left({\mathrm e}^{d x +c}+\frac{a \sqrt{a^{2}+b^{2}}-a^{2}-b^{2}}{\sqrt{a^{2}+b^{2}}\, b}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} b}-\frac{f \ln \left({\mathrm e}^{d x +c}+\frac{a \sqrt{a^{2}+b^{2}}+a^{2}+b^{2}}{\sqrt{a^{2}+b^{2}}\, b}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} b}"," ",0,"-2*(f*x+e)/b/d*exp(d*x+c)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/(a^2+b^2)^(1/2)*f/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(1/2)-a^2-b^2)/(a^2+b^2)^(1/2)/b)-1/(a^2+b^2)^(1/2)*f/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(1/2)+a^2+b^2)/(a^2+b^2)^(1/2)/b)","B"
325,1,491,214,0.000000," ","int((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","-\frac{2 \left(x^{2} f^{2}+2 e f x +e^{2}\right) {\mathrm e}^{d x +c}}{b d \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}-\frac{4 f e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{2 f^{2} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{2 f^{2} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{3} b \sqrt{a^{2}+b^{2}}}-\frac{2 f^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{2 f^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{3} b \sqrt{a^{2}+b^{2}}}+\frac{2 f^{2} \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{3} b \sqrt{a^{2}+b^{2}}}-\frac{2 f^{2} \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{3} b \sqrt{a^{2}+b^{2}}}+\frac{4 f^{2} c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{3} b \sqrt{a^{2}+b^{2}}}"," ",0,"-2*(f^2*x^2+2*e*f*x+e^2)/b/d*exp(d*x+c)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-4/d^2/b*f*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d^2/b*f^2/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d^3/b*f^2/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/d^2/b*f^2/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-2/d^3/b*f^2/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^3/b*f^2/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d^3/b*f^2/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+4/d^3/b*f^2*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
326,0,0,318,0.000000," ","int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right)}{\left(a +b \sinh \left(d x +c \right)\right)^{2}}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x)","F"
327,1,308,106,0.510000," ","int((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","-\frac{2 a^{2} d f x \,{\mathrm e}^{2 d x +2 c}+2 b^{2} d f x \,{\mathrm e}^{2 d x +2 c}+2 a^{2} d e \,{\mathrm e}^{2 d x +2 c}-a b f \,{\mathrm e}^{3 d x +3 c}+2 b^{2} d e \,{\mathrm e}^{2 d x +2 c}-2 a^{2} f \,{\mathrm e}^{2 d x +2 c}+b^{2} f \,{\mathrm e}^{2 d x +2 c}+3 a f \,{\mathrm e}^{d x +c} b -f \,b^{2}}{b \,d^{2} \left(a^{2}+b^{2}\right) \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)^{2}}+\frac{f a \ln \left({\mathrm e}^{d x +c}+\frac{a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}-a^{4}-2 a^{2} b^{2}-b^{4}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} b}\right)}{2 \left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}-\frac{f a \ln \left({\mathrm e}^{d x +c}+\frac{a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}+a^{4}+2 a^{2} b^{2}+b^{4}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} b}\right)}{2 \left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}"," ",0,"-1/b*(2*a^2*d*f*x*exp(2*d*x+2*c)+2*b^2*d*f*x*exp(2*d*x+2*c)+2*a^2*d*e*exp(2*d*x+2*c)-a*b*f*exp(3*d*x+3*c)+2*b^2*d*e*exp(2*d*x+2*c)-2*a^2*f*exp(2*d*x+2*c)+b^2*f*exp(2*d*x+2*c)+3*a*f*exp(d*x+c)*b-f*b^2)/d^2/(a^2+b^2)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)^2+1/2/(a^2+b^2)^(3/2)*f*a/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(3/2)-a^4-2*a^2*b^2-b^4)/(a^2+b^2)^(3/2)/b)-1/2/(a^2+b^2)^(3/2)*f*a/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(3/2)+a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(3/2)/b)","B"
328,1,805,284,0.480000," ","int((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","-\frac{2 \left(a^{2} d \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+b^{2} d \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+2 a^{2} d e f x \,{\mathrm e}^{2 d x +2 c}-a b \,f^{2} x \,{\mathrm e}^{3 d x +3 c}+2 b^{2} d e f x \,{\mathrm e}^{2 d x +2 c}+a^{2} d \,e^{2} {\mathrm e}^{2 d x +2 c}-2 a^{2} f^{2} x \,{\mathrm e}^{2 d x +2 c}-a b e f \,{\mathrm e}^{3 d x +3 c}+b^{2} d \,e^{2} {\mathrm e}^{2 d x +2 c}+b^{2} f^{2} x \,{\mathrm e}^{2 d x +2 c}-2 a^{2} e f \,{\mathrm e}^{2 d x +2 c}+3 a b \,f^{2} x \,{\mathrm e}^{d x +c}+b^{2} e f \,{\mathrm e}^{2 d x +2 c}+3 a b e f \,{\mathrm e}^{d x +c}-b^{2} f^{2} x -b^{2} e f \right)}{b \,d^{2} \left(a^{2}+b^{2}\right) \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)^{2}}+\frac{f^{2} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{3} b}-\frac{2 f^{2} \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{3} b}-\frac{2 f a e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}+\frac{f^{2} a \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}+\frac{f^{2} a \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}-\frac{f^{2} a \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}-\frac{f^{2} a \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}+\frac{f^{2} a \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}-\frac{f^{2} a \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}+\frac{2 f^{2} a c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}"," ",0,"-2/b*(a^2*d*f^2*x^2*exp(2*d*x+2*c)+b^2*d*f^2*x^2*exp(2*d*x+2*c)+2*a^2*d*e*f*x*exp(2*d*x+2*c)-a*b*f^2*x*exp(3*d*x+3*c)+2*b^2*d*e*f*x*exp(2*d*x+2*c)+a^2*d*e^2*exp(2*d*x+2*c)-2*a^2*f^2*x*exp(2*d*x+2*c)-a*b*e*f*exp(3*d*x+3*c)+b^2*d*e^2*exp(2*d*x+2*c)+b^2*f^2*x*exp(2*d*x+2*c)-2*a^2*e*f*exp(2*d*x+2*c)+3*a*b*f^2*x*exp(d*x+c)+b^2*e*f*exp(2*d*x+2*c)+3*a*b*e*f*exp(d*x+c)-b^2*f^2*x-b^2*e*f)/d^2/(a^2+b^2)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)^2+1/(a^2+b^2)/d^3*f^2/b*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/(a^2+b^2)/d^3*f^2/b*ln(exp(d*x+c))-2/(a^2+b^2)^(3/2)/d^2*f/b*a*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)^(3/2)/d^2*f^2/b*a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/(a^2+b^2)^(3/2)/d^2*f^2/b*a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/(a^2+b^2)^(3/2)/d^3*f^2/b*a*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
329,0,0,579,0.717000," ","int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right)}{\left(a +b \sinh \left(d x +c \right)\right)^{3}}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","F"
330,1,308,106,0.000000," ","int((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","-\frac{2 a^{2} d f x \,{\mathrm e}^{2 d x +2 c}+2 b^{2} d f x \,{\mathrm e}^{2 d x +2 c}+2 a^{2} d e \,{\mathrm e}^{2 d x +2 c}-a b f \,{\mathrm e}^{3 d x +3 c}+2 b^{2} d e \,{\mathrm e}^{2 d x +2 c}-2 a^{2} f \,{\mathrm e}^{2 d x +2 c}+b^{2} f \,{\mathrm e}^{2 d x +2 c}+3 a f \,{\mathrm e}^{d x +c} b -f \,b^{2}}{b \,d^{2} \left(a^{2}+b^{2}\right) \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)^{2}}+\frac{f a \ln \left({\mathrm e}^{d x +c}+\frac{a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}-a^{4}-2 a^{2} b^{2}-b^{4}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} b}\right)}{2 \left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}-\frac{f a \ln \left({\mathrm e}^{d x +c}+\frac{a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}+a^{4}+2 a^{2} b^{2}+b^{4}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} b}\right)}{2 \left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}"," ",0,"-1/b*(2*a^2*d*f*x*exp(2*d*x+2*c)+2*b^2*d*f*x*exp(2*d*x+2*c)+2*a^2*d*e*exp(2*d*x+2*c)-a*b*f*exp(3*d*x+3*c)+2*b^2*d*e*exp(2*d*x+2*c)-2*a^2*f*exp(2*d*x+2*c)+b^2*f*exp(2*d*x+2*c)+3*a*f*exp(d*x+c)*b-f*b^2)/d^2/(a^2+b^2)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)^2+1/2/(a^2+b^2)^(3/2)*f*a/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(3/2)-a^4-2*a^2*b^2-b^4)/(a^2+b^2)^(3/2)/b)-1/2/(a^2+b^2)^(3/2)*f*a/d^2/b*ln(exp(d*x+c)+(a*(a^2+b^2)^(3/2)+a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(3/2)/b)","B"
331,1,805,284,0.000000," ","int((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","-\frac{2 \left(a^{2} d \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+b^{2} d \,f^{2} x^{2} {\mathrm e}^{2 d x +2 c}+2 a^{2} d e f x \,{\mathrm e}^{2 d x +2 c}-a b \,f^{2} x \,{\mathrm e}^{3 d x +3 c}+2 b^{2} d e f x \,{\mathrm e}^{2 d x +2 c}+a^{2} d \,e^{2} {\mathrm e}^{2 d x +2 c}-2 a^{2} f^{2} x \,{\mathrm e}^{2 d x +2 c}-a b e f \,{\mathrm e}^{3 d x +3 c}+b^{2} d \,e^{2} {\mathrm e}^{2 d x +2 c}+b^{2} f^{2} x \,{\mathrm e}^{2 d x +2 c}-2 a^{2} e f \,{\mathrm e}^{2 d x +2 c}+3 a b \,f^{2} x \,{\mathrm e}^{d x +c}+b^{2} e f \,{\mathrm e}^{2 d x +2 c}+3 a b e f \,{\mathrm e}^{d x +c}-b^{2} f^{2} x -b^{2} e f \right)}{b \,d^{2} \left(a^{2}+b^{2}\right) \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)^{2}}+\frac{f^{2} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{3} b}-\frac{2 f^{2} \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{3} b}-\frac{2 f a e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}+\frac{f^{2} a \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}+\frac{f^{2} a \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}-\frac{f^{2} a \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} b}-\frac{f^{2} a \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}+\frac{f^{2} a \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}-\frac{f^{2} a \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}+\frac{2 f^{2} a c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{3} b}"," ",0,"-2/b*(a^2*d*f^2*x^2*exp(2*d*x+2*c)+b^2*d*f^2*x^2*exp(2*d*x+2*c)+2*a^2*d*e*f*x*exp(2*d*x+2*c)-a*b*f^2*x*exp(3*d*x+3*c)+2*b^2*d*e*f*x*exp(2*d*x+2*c)+a^2*d*e^2*exp(2*d*x+2*c)-2*a^2*f^2*x*exp(2*d*x+2*c)-a*b*e*f*exp(3*d*x+3*c)+b^2*d*e^2*exp(2*d*x+2*c)+b^2*f^2*x*exp(2*d*x+2*c)-2*a^2*e*f*exp(2*d*x+2*c)+3*a*b*f^2*x*exp(d*x+c)+b^2*e*f*exp(2*d*x+2*c)+3*a*b*e*f*exp(d*x+c)-b^2*f^2*x-b^2*e*f)/d^2/(a^2+b^2)/(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)^2+1/(a^2+b^2)/d^3*f^2/b*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/(a^2+b^2)/d^3*f^2/b*ln(exp(d*x+c))-2/(a^2+b^2)^(3/2)/d^2*f/b*a*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)^(3/2)/d^2*f^2/b*a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/(a^2+b^2)^(3/2)/d^2*f^2/b*a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/(a^2+b^2)^(3/2)/d^3*f^2/b*a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/(a^2+b^2)^(3/2)/d^3*f^2/b*a*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
332,0,0,579,0.000000," ","int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right)}{\left(a +b \sinh \left(d x +c \right)\right)^{3}}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x)","F"
333,0,0,422,0.421000," ","int((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
334,0,0,310,0.336000," ","int((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
335,1,483,198,0.121000," ","int((f*x+e)*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{a f \,x^{2}}{2 b^{2}}-\frac{a e x}{b^{2}}+\frac{\left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 d^{2} b}-\frac{\left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 d^{2} b}+\frac{a f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{2}}-\frac{2 a f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{2}}-\frac{a e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{2}}+\frac{2 a e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{2}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2}}-\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2}}-\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2}}-\frac{a f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2}}-\frac{a f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2}}+\frac{2 a f c x}{d \,b^{2}}+\frac{a f \,c^{2}}{d^{2} b^{2}}"," ",0,"1/2*a*f*x^2/b^2-a*e*x/b^2+1/2*(d*f*x+d*e-f)/d^2/b*exp(d*x+c)-1/2*(d*f*x+d*e+f)/d^2/b*exp(-d*x-c)+1/d^2*a/b^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a/b^2*f*c*ln(exp(d*x+c))-1/d*a/b^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a/b^2*e*ln(exp(d*x+c))-1/d*a/b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a/b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*a/b^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a/b^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d*a/b^2*f*c*x+1/d^2*a/b^2*f*c^2","B"
336,1,35,34,0.026000," ","int(cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{a \ln \left(a +b \sinh \left(d x +c \right)\right)}{b^{2} d}+\frac{\sinh \left(d x +c \right)}{b d}"," ",0,"-a*ln(a+b*sinh(d*x+c))/b^2/d+sinh(d*x+c)/b/d","A"
337,0,0,34,0.262000," ","int(cosh(d*x+c)*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
338,0,0,640,0.406000," ","int((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
339,0,0,468,0.307000," ","int((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
340,1,1012,297,0.156000," ","int((f*x+e)*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{a^{2} f \,x^{2}}{2 b^{3}}+\frac{f \,x^{2}}{4 b}+\frac{a^{2} e x}{b^{3}}+\frac{e x}{2 b}+\frac{\left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 d^{2} b}-\frac{a \left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 b^{2} d^{2}}-\frac{a \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 b^{2} d^{2}}-\frac{\left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 d^{2} b}+\frac{2 a^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{3} \sqrt{a^{2}+b^{2}}}+\frac{2 a e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d b \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d b \sqrt{a^{2}+b^{2}}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d b \sqrt{a^{2}+b^{2}}}+\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{a f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{a f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{2 a^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{2 a f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}"," ",0,"1/2*a^2*f*x^2/b^3+1/4*f*x^2/b+a^2*e*x/b^3+1/2*e*x/b+1/16*(2*d*f*x+2*d*e-f)/d^2/b*exp(2*d*x+2*c)-1/2*a*(d*f*x+d*e-f)/b^2/d^2*exp(d*x+c)-1/2*a*(d*f*x+d*e+f)/b^2/d^2*exp(-d*x-c)-1/16*(2*d*f*x+2*d*e+f)/d^2/b*exp(-2*d*x-2*c)+2/d*a^3/b^3*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d*a/b*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d*a/b*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a/b*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a/b*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*a/b*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a/b*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d^2*a^3/b^3*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2*a/b*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
341,1,260,86,0.062000," ","int(cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d b}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d b}-\frac{2 a \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{3}}"," ",0,"1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2+1/2/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-2/d*a*(a^2+b^2)^(1/2)/b^3*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","B"
342,0,0,36,0.182000," ","int(cosh(d*x+c)^2*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^2*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
343,0,0,812,0.617000," ","int((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{3}\left(d x +c \right)\right) \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
344,0,0,594,0.547000," ","int((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{3}\left(d x +c \right)\right) \sinh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
345,1,1102,372,0.184000," ","int((f*x+e)*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{a^{3} e x}{b^{4}}-\frac{a e x}{b^{2}}+\frac{a^{3} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{4}}-\frac{2 a^{3} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{4}}+\frac{2 a^{3} f c x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4}}-\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4}}+\frac{a f \,x^{2}}{2 b^{2}}+\frac{\left(3 d f x +3 d e -f \right) {\mathrm e}^{3 d x +3 c}}{72 b \,d^{2}}-\frac{\left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{72 b \,d^{2}}+\frac{\left(4 a^{2} d f x +3 b^{2} d f x +4 a^{2} d e +3 b^{2} d e -4 a^{2} f -3 f \,b^{2}\right) {\mathrm e}^{d x +c}}{8 b^{3} d^{2}}+\frac{2 a f c x}{d \,b^{2}}+\frac{a f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{2}}-\frac{2 a f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{2}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2}}-\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2}}-\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2}}+\frac{a^{3} f \,x^{2}}{2 b^{4}}+\frac{a f \,c^{2}}{d^{2} b^{2}}-\frac{a e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{2}}+\frac{2 a e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{2}}-\frac{a f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2}}-\frac{a f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2}}-\frac{a \left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 b^{2} d^{2}}-\frac{\left(4 a^{2}+3 b^{2}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{8 b^{3} d^{2}}-\frac{a \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 b^{2} d^{2}}-\frac{a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4}}-\frac{a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4}}+\frac{a^{3} f \,c^{2}}{d^{2} b^{4}}-\frac{a^{3} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{4}}+\frac{2 a^{3} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{4}}"," ",0,"-a^3*e*x/b^4-a*e*x/b^2+1/d^2*a^3/b^4*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a^3/b^4*f*c*ln(exp(d*x+c))+2/d*a^3/b^4*f*c*x-1/d*a^3/b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^3/b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/2*a*f*x^2/b^2+1/72*(3*d*f*x+3*d*e-f)/b/d^2*exp(3*d*x+3*c)-1/72*(3*d*f*x+3*d*e+f)/b/d^2*exp(-3*d*x-3*c)+1/8*(4*a^2*d*f*x+3*b^2*d*f*x+4*a^2*d*e+3*b^2*d*e-4*a^2*f-3*b^2*f)/b^3/d^2*exp(d*x+c)+2/d*a/b^2*f*c*x+1/d^2*a/b^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a/b^2*f*c*ln(exp(d*x+c))-1/d*a/b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a/b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/2*a^3*f*x^2/b^4+1/d^2*a/b^2*f*c^2-1/d*a/b^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a/b^2*e*ln(exp(d*x+c))-1/d^2*a/b^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a/b^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/16*a*(2*d*f*x+2*d*e-f)/b^2/d^2*exp(2*d*x+2*c)-1/8*(4*a^2+3*b^2)*(d*f*x+d*e+f)/b^3/d^2*exp(-d*x-c)-1/16*a*(2*d*f*x+2*d*e+f)/b^2/d^2*exp(-2*d*x-2*c)+1/d^2*a^3/b^4*f*c^2-1/d^2*a^3/b^4*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a^3/b^4*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d*a^3/b^4*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a^3/b^4*e*ln(exp(d*x+c))","B"
346,1,428,81,0.068000," ","int(cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{4}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{4}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{a^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{4}}-\frac{a \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{2}}"," ",0,"-1/3/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-1/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/3/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a-1/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-1/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)","B"
347,0,0,36,0.277000," ","int(cosh(d*x+c)^3*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{3}\left(d x +c \right)\right) \sinh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^3*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
348,0,0,953,0.697000," ","int((f*x+e)^3*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
349,0,0,670,0.484000," ","int((f*x+e)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
350,1,1287,393,0.226000," ","int((f*x+e)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{2 f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{d^{2} \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}+\frac{2 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) b x}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) b x}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d \left(2 a^{2}+2 b^{2}\right)}-\frac{4 f c b \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f c a \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f c a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a x}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a x}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{d \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 f c \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \ln \left(1-i {\mathrm e}^{d x +c}\right) a x}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \ln \left(1-i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \ln \left(1+i {\mathrm e}^{d x +c}\right) a x}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \ln \left(1+i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 i f \dilog \left(1-i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 i f \dilog \left(1+i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \dilog \left(1+i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \dilog \left(1-i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 e a \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 e a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{4 e b \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 e \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a}{d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a}{d^{2} \left(2 a^{2}+2 b^{2}\right)}"," ",0,"2*I/d^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*c-2*I/d*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*b*x-2/(a^2+b^2)^(1/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2*I/d^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*b*c+2*I/d*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*x+2/d^2*f*c/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-4/d^2*f*c/(2*a^2+2*b^2)*b*arctan(exp(d*x+c))-2/d*e/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2/d^2*f*c/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*f*c/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2*f*c/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))-2/d^2*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*c+2/d*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*x+2/d^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*c-2/d*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*x-2/d^2*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*c-2/d*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*x+2/d*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*x+2/d^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*c+2*I/d^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*b-2*I/d^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*b+2/d*e/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d*e/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*e/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))+4/d*e/(2*a^2+2*b^2)*b*arctan(exp(d*x+c))+2/(a^2+b^2)^(1/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a-2/d^2*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a+2/d^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*a+2/d^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*a","B"
351,1,113,69,0.002000," ","int(tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{2 a \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(2 a^{2}+2 b^{2}\right)}+\frac{4 b \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(2 a^{2}+2 b^{2}\right)}"," ",0,"-2/d*a/(2*a^2+2*b^2)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+2/d/(2*a^2+2*b^2)*a*ln(tanh(1/2*d*x+1/2*c)^2+1)+4/d/(2*a^2+2*b^2)*b*arctan(tanh(1/2*d*x+1/2*c))","A"
352,0,0,28,0.356000," ","int(tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\tanh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
353,0,0,860,1.816000," ","int((f*x+e)^3*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
354,0,0,611,1.439000," ","int((f*x+e)^2*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
355,1,1858,315,0.252000," ","int((f*x+e)*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{2 a \,b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a \,b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a \,b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a \,b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{f \,b^{3} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f \,b^{3} \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{4 a^{3} f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{f b \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right) a^{2}}{\left(a^{2}+b^{2}\right)^{2} d^{2}}+\frac{2 f b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{3}}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{2 f \,b^{3} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{2 a b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}\, \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a \,b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a \,b^{3} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a \,b^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a \,b^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a b f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{4 f \,b^{2} a \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 \left(f x +e \right) \left(a \,{\mathrm e}^{d x +c}+b \right)}{d \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)}+\frac{2 b f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}-\frac{f \,b^{3} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{2 \left(a^{2}+b^{2}\right)^{2} d^{2}}-\frac{2 a b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}\, \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a \,b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}"," ",0,"2/(a^2+b^2)^(3/2)/d*a*b^3*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/(a^2+b^2)^(3/2)/d^2*a*b^3*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/(a^2+b^2)^(3/2)/d^2*a*b^3*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/(a^2+b^2)^(3/2)/d*a^3*b*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-2/(a^2+b^2)^(3/2)/d*a*b^3*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/(a^2+b^2)^(3/2)/d*a^3*b*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/(a^2+b^2)/d^2*f*b^3/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/(a^2+b^2)/d^2*f*b^3/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))+4/(a^2+b^2)/d^2*a^3*f/(2*a^2+2*b^2)*arctan(exp(d*x+c))-1/(a^2+b^2)^2/d^2*f*b*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)*a^2-2/(a^2+b^2)^(3/2)/d^2*a*b^3*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(1/2)/d^2*a*b*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d^2*a*b^3*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)/d^2*a^2*b*f/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/(a^2+b^2)/d^2*a^2*b*f/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))+2/(a^2+b^2)^(5/2)/d^2*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3+2/(a^2+b^2)^(5/2)/d^2*f*b^3*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+4/(a^2+b^2)/d^2*f*b^2/(2*a^2+2*b^2)*a*arctan(exp(d*x+c))-2*(f*x+e)*(a*exp(d*x+c)+b)/d/(a^2+b^2)/(1+exp(2*d*x+2*c))+2/(a^2+b^2)/d^2*b*f*ln(exp(d*x+c))-1/2/(a^2+b^2)^2/d^2*f*b^3*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/(a^2+b^2)^(3/2)/d^2*a*b^3*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d/(a^2+b^2)^(1/2)*a*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d/(a^2+b^2)^(3/2)*a*b^3*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d/(a^2+b^2)^(3/2)*a^3*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)^(1/2)*a*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)^(3/2)*a*b^3*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)^(3/2)*a^3*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
356,1,100,73,0.001000," ","int(sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{-\frac{4 a b \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 \left(-\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right)}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}}{d}"," ",0,"1/d*(-4*a*b/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-2/(a^2+b^2)*(-tanh(1/2*d*x+1/2*c)*b+a)/(tanh(1/2*d*x+1/2*c)^2+1))","A"
357,0,0,34,0.793000," ","int(sech(d*x+c)*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
358,0,0,1111,1.021000," ","int((f*x+e)^2*sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{sech}\left(d x +c \right)^{2} \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
359,1,2074,656,0.278000," ","int((f*x+e)*sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{b^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{b^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b \,a^{2} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b \,a^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b \,a^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b \,a^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b \,a^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{-b d f x \,{\mathrm e}^{3 d x +3 c}+2 a d f x \,{\mathrm e}^{2 d x +2 c}-b d e \,{\mathrm e}^{3 d x +3 c}+2 a d e \,{\mathrm e}^{2 d x +2 c}+b d f x \,{\mathrm e}^{d x +c}-b f \,{\mathrm e}^{3 d x +3 c}+a f \,{\mathrm e}^{2 d x +2 c}+b d e \,{\mathrm e}^{d x +c}-f b \,{\mathrm e}^{d x +c}+a f}{d^{2} \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)^{2}}-\frac{i b \,a^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b \,a^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) a x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) a x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f c a \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f c a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b \,a^{2} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} e a \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} e a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}"," ",0,"-1/(a^2+b^2)^(3/2)/d*b^4*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)^(1/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+I/d*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x+I/d^2*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c+1/(a^2+b^2)^(3/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-2/d*b/(a^2+b^2)*a^2*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))+2/d*b^3/(a^2+b^2)*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-I/d*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-I/d^2*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-(-b*d*f*x*exp(3*d*x+3*c)+2*a*d*f*x*exp(2*d*x+2*c)-b*d*e*exp(3*d*x+3*c)+2*a*d*e*exp(2*d*x+2*c)+b*d*f*x*exp(d*x+c)-b*f*exp(3*d*x+3*c)+a*f*exp(2*d*x+2*c)+b*d*e*exp(d*x+c)-f*b*exp(d*x+c)+a*f)/d^2/(a^2+b^2)/(1+exp(2*d*x+2*c))^2+1/(a^2+b^2)^(3/2)/d^2*b^4*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/(a^2+b^2)^(3/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-1/(a^2+b^2)^(1/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*x+2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*c+I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c+2/d*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*x-2/d*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*x-2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*c-2/d*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*x-2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*c+2/d^2*b^2/(a^2+b^2)*f*c/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*b^2/(a^2+b^2)*f*c/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))-I/d*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-I/d^2*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))+2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*c+I/d^2*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))+2/d^2*b/(a^2+b^2)*a^2*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-2/d^2*b^3/(a^2+b^2)*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))-2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a-2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a+2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*a+2/d^2*b^2/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*a+I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))-2/d*b^2/(a^2+b^2)*e/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*b^2/(a^2+b^2)*e/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))","B"
360,1,474,118,0.004000," ","int(sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{2 a \,b^{2} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(2 a^{4}+4 a^{2} b^{2}+2 b^{4}\right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}"," ",0,"-2/d*a*b^2/(2*a^4+4*a^2*b^2+2*b^4)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^2*b-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b^3+2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^3+2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a*b^2+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^2*b+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b^3-1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a^2*b+1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*b^3+1/d/(a^4+2*a^2*b^2+b^4)*ln(tanh(1/2*d*x+1/2*c)^2+1)*a*b^2","B"
361,0,0,36,1.391000," ","int(sech(d*x+c)^2*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right)^{2} \tanh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)^2*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
362,0,0,568,0.602000," ","int((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right) \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
363,0,0,419,0.423000," ","int((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right) \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
364,1,565,258,0.173000," ","int((f*x+e)*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{a^{2} f \,x^{2}}{2 b^{3}}+\frac{a^{2} e x}{b^{3}}+\frac{\left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 d^{2} b}-\frac{a \left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 b^{2} d^{2}}+\frac{a \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 b^{2} d^{2}}+\frac{\left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 d^{2} b}-\frac{a^{2} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{3}}+\frac{2 a^{2} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{3}}+\frac{a^{2} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{3}}-\frac{2 a^{2} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3}}+\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3}}+\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3}}-\frac{2 f \,a^{2} c x}{d \,b^{3}}-\frac{f \,a^{2} c^{2}}{d^{2} b^{3}}"," ",0,"-1/2*a^2*f*x^2/b^3+a^2*e*x/b^3+1/16*(2*d*f*x+2*d*e-f)/d^2/b*exp(2*d*x+2*c)-1/2*a*(d*f*x+d*e-f)/b^2/d^2*exp(d*x+c)+1/2*a*(d*f*x+d*e+f)/b^2/d^2*exp(-d*x-c)+1/16*(2*d*f*x+2*d*e+f)/d^2/b*exp(-2*d*x-2*c)-1/d^2/b^3*a^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/b^3*a^2*f*c*ln(exp(d*x+c))+1/d/b^3*a^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/b^3*a^2*e*ln(exp(d*x+c))+1/d/b^3*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/b^3*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d/b^3*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b^3*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2/b^3*a^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/b^3*a^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d/b^3*f*a^2*c*x-1/d^2/b^3*f*a^2*c^2","B"
365,1,54,53,0.029000," ","int(cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{a^{2} \ln \left(a +b \sinh \left(d x +c \right)\right)}{b^{3} d}-\frac{a \sinh \left(d x +c \right)}{b^{2} d}+\frac{\sinh^{2}\left(d x +c \right)}{2 b d}"," ",0,"a^2*ln(a+b*sinh(d*x+c))/b^3/d-a*sinh(d*x+c)/b^2/d+1/2*sinh(d*x+c)^2/b/d","A"
366,0,0,36,0.362000," ","int(cosh(d*x+c)*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right) \left(\sinh^{2}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
367,0,0,827,0.441000," ","int((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right) \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
368,0,0,597,0.381000," ","int((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right) \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
369,1,1128,367,0.174000," ","int((f*x+e)*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{a^{3} e x}{b^{4}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 a^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4} \sqrt{a^{2}+b^{2}}}+\frac{a^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4} \sqrt{a^{2}+b^{2}}}-\frac{a^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4} \sqrt{a^{2}+b^{2}}}-\frac{a^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4} \sqrt{a^{2}+b^{2}}}+\frac{2 a^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4} \sqrt{a^{2}+b^{2}}}-\frac{2 a^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{2} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2} \sqrt{a^{2}+b^{2}}}-\frac{a e x}{2 b^{2}}-\frac{a^{4} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4} \sqrt{a^{2}+b^{2}}}-\frac{2 a^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{4} \sqrt{a^{2}+b^{2}}}+\frac{a^{4} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4} \sqrt{a^{2}+b^{2}}}-\frac{a f \,x^{2}}{4 b^{2}}+\frac{\left(3 d f x +3 d e -f \right) {\mathrm e}^{3 d x +3 c}}{72 b \,d^{2}}+\frac{\left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{72 b \,d^{2}}+\frac{\left(4 a^{2} d f x +b^{2} d f x +4 a^{2} d e +b^{2} d e -4 a^{2} f -f \,b^{2}\right) {\mathrm e}^{d x +c}}{8 b^{3} d^{2}}-\frac{a^{3} f \,x^{2}}{2 b^{4}}+\frac{\left(4 a^{2}+b^{2}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{8 b^{3} d^{2}}-\frac{a \left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 b^{2} d^{2}}+\frac{a \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 b^{2} d^{2}}"," ",0,"-a^3*e*x/b^4+1/d*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2*a^2/b^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d*a^4/b^4*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*a^4/b^4*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^4/b^4*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^4/b^4*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2*a^4/b^4*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d*a^2/b^2*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*a^2/b^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/2*a*e*x/b^2+1/d^2*a^4/b^4*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*a^4/b^4*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d*a^4/b^4*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/4*a*f*x^2/b^2+1/72*(3*d*f*x+3*d*e-f)/b/d^2*exp(3*d*x+3*c)+1/72*(3*d*f*x+3*d*e+f)/b/d^2*exp(-3*d*x-3*c)+1/8*(4*a^2*d*f*x+b^2*d*f*x+4*a^2*d*e+b^2*d*e-4*a^2*f-b^2*f)/b^3/d^2*exp(d*x+c)-1/2*a^3*f*x^2/b^4+1/8*(4*a^2+b^2)*(d*f*x+d*e+f)/b^3/d^2*exp(-d*x-c)-1/16*a*(2*d*f*x+2*d*e-f)/b^2/d^2*exp(2*d*x+2*c)+1/16*a*(2*d*f*x+2*d*e+f)/b^2/d^2*exp(-2*d*x-2*c)","B"
370,1,398,128,0.070000," ","int(cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{4}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d \,b^{2}}+\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{4}}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d \,b^{2}}+\frac{2 a^{2} \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{4}}"," ",0,"-1/3/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-1/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/3/d/b/(tanh(1/2*d*x+1/2*c)+1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a+1/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)+1)-1/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+2/d*a^2*(a^2+b^2)^(1/2)/b^4*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","B"
371,0,0,38,0.201000," ","int(cosh(d*x+c)^2*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{2}\left(d x +c \right)\right) \left(\sinh^{2}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^2*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
372,0,0,1053,0.720000," ","int((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{3}\left(d x +c \right)\right) \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
373,0,0,763,0.542000," ","int((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{3}\left(d x +c \right)\right) \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
374,1,1217,463,0.259000," ","int((f*x+e)*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3}}-\frac{2 f \,a^{2} c x}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3}}+\frac{a^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3}}+\frac{a^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3}}-\frac{a^{2} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{3}}+\frac{2 a^{2} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{3}}+\frac{a^{2} e x}{b^{3}}-\frac{a^{2} f \,x^{2}}{2 b^{3}}-\frac{a^{4} f \,x^{2}}{2 b^{5}}+\frac{a^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{5}}+\frac{a^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{5}}+\frac{a^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{5}}+\frac{a^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{5}}-\frac{a^{4} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{5}}+\frac{2 a^{4} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{5}}-\frac{2 a^{4} f c x}{d \,b^{5}}+\frac{a \left(4 a^{2}+3 b^{2}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{8 b^{4} d^{2}}+\frac{a^{4} e x}{b^{5}}-\frac{a \left(3 d f x +3 d e -f \right) {\mathrm e}^{3 d x +3 c}}{72 b^{2} d^{2}}-\frac{a^{4} f \,c^{2}}{d^{2} b^{5}}+\frac{a^{4} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{5}}-\frac{2 a^{4} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{5}}+\frac{a^{4} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{5}}+\frac{a^{4} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{5}}+\frac{\left(2 a^{2}+b^{2}\right) \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{32 b^{3} d^{2}}+\frac{a \left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{72 b^{2} d^{2}}+\frac{\left(4 d f x +4 d e -f \right) {\mathrm e}^{4 d x +4 c}}{256 b \,d^{2}}+\frac{\left(4 a^{2} d f x +2 b^{2} d f x +4 a^{2} d e +2 b^{2} d e -2 a^{2} f -f \,b^{2}\right) {\mathrm e}^{2 d x +2 c}}{32 b^{3} d^{2}}+\frac{\left(4 d f x +4 d e +f \right) {\mathrm e}^{-4 d x -4 c}}{256 b \,d^{2}}-\frac{a \left(4 a^{2} d f x +3 b^{2} d f x +4 a^{2} d e +3 b^{2} d e -4 a^{2} f -3 f \,b^{2}\right) {\mathrm e}^{d x +c}}{8 b^{4} d^{2}}-\frac{f \,a^{2} c^{2}}{d^{2} b^{3}}+\frac{a^{2} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{3}}-\frac{2 a^{2} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{3}}+\frac{a^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3}}+\frac{a^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3}}"," ",0,"1/d^2/b^3*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/d/b^3*f*a^2*c*x+1/d/b^3*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b^3*a^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d/b^3*a^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/b^3*a^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/b^3*a^2*f*c*ln(exp(d*x+c))+a^2*e*x/b^3-1/2*a^2*f*x^2/b^3-1/2*a^4*f*x^2/b^5+1/d*a^4/b^5*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a^4/b^5*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d*a^4/b^5*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*a^4/b^5*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d^2*a^4/b^5*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2*a^4/b^5*f*c*ln(exp(d*x+c))-2/d*a^4/b^5*f*c*x+1/8*a*(4*a^2+3*b^2)*(d*f*x+d*e+f)/b^4/d^2*exp(-d*x-c)+a^4*e*x/b^5-1/72*a*(3*d*f*x+3*d*e-f)/b^2/d^2*exp(3*d*x+3*c)-1/d^2*a^4/b^5*f*c^2+1/d^2*a^4/b^5*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2*a^4/b^5*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d*a^4/b^5*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d*a^4/b^5*e*ln(exp(d*x+c))+1/32*(2*a^2+b^2)*(2*d*f*x+2*d*e+f)/b^3/d^2*exp(-2*d*x-2*c)+1/72*a*(3*d*f*x+3*d*e+f)/b^2/d^2*exp(-3*d*x-3*c)+1/256*(4*d*f*x+4*d*e-f)/b/d^2*exp(4*d*x+4*c)+1/32*(4*a^2*d*f*x+2*b^2*d*f*x+4*a^2*d*e+2*b^2*d*e-2*a^2*f-b^2*f)/b^3/d^2*exp(2*d*x+2*c)+1/256*(4*d*f*x+4*d*e+f)/b/d^2*exp(-4*d*x-4*c)-1/8*a*(4*a^2*d*f*x+3*b^2*d*f*x+4*a^2*d*e+3*b^2*d*e-4*a^2*f-3*b^2*f)/b^4/d^2*exp(d*x+c)-1/d^2/b^3*f*a^2*c^2+1/d^2/b^3*a^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/b^3*a^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d/b^3*a^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/b^3*a^2*e*ln(exp(d*x+c))","B"
375,1,614,107,0.081000," ","int(cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right) a^{2}}{d \,b^{3}}+\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}+\frac{a}{d \,b^{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) a^{2}}{d \,b^{3}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a^{4} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{5}}+\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a^{4} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{5}}+\frac{a^{4} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{5}}+\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{5}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{5}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/d/b^3*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)*a^2+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2+1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a-1/2/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2+1/3/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)-1)^2*a^2+1/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^3-1/d*a^4/b^5*ln(tanh(1/2*d*x+1/2*c)-1)+1/3/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)+1)^2*a^2+1/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^3-1/d*a^4/b^5*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*a^4/b^5*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/4/d/b/(tanh(1/2*d*x+1/2*c)-1)^4+1/4/d/b/(tanh(1/2*d*x+1/2*c)+1)^4+5/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+5/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+3/8/d/b/(tanh(1/2*d*x+1/2*c)-1)-3/8/d/b/(tanh(1/2*d*x+1/2*c)+1)","B"
376,0,0,38,0.346000," ","int(cosh(d*x+c)^3*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{3}\left(d x +c \right)\right) \left(\sinh^{2}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^3*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
377,0,0,1142,1.786000," ","int((f*x+e)^3*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \sinh \left(d x +c \right) \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
378,0,0,811,1.098000," ","int((f*x+e)^2*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \sinh \left(d x +c \right) \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
379,1,3882,484,0.329000," ","int((f*x+e)*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\text{output too large to display}"," ",0,"-1/2*f*x^2/b+e*x/b+2/d^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*b*c+2/d*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*x+2/d^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*c+1/d^2*f*c*b/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*f*c/(2*a^2+2*b^2)*b*ln(1+exp(2*d*x+2*c))+4/d^2*f*c/(2*a^2+2*b^2)*a*arctan(exp(d*x+c))-1/d*f*b/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*f*b/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*b*x-1/d^2/b*f*c^2-2/d/b*e*ln(exp(d*x+c))+b/d*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*x+b/d^2*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*c+2*I/d^2*a*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-2*I/d*a*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-2*I/d^2*a*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c+2*I/d*a*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x+1/2*b/d^2*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/2*b/d*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/2*b/d^2*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2*b/d*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+1/b/d*e/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)*a^2-2/b/d*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3-1/2*b/d^2*f*c/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/b/d^2*f/(a^2+b^2)^(3/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^3-2/d/b*f*c*x+2/d^2/b*f*c*ln(exp(d*x+c))-1/d*e*b/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*e/(2*a^2+2*b^2)*b*ln(1+exp(2*d*x+2*c))-4/d*e/(2*a^2+2*b^2)*a*arctan(exp(d*x+c))-1/d^2*f*b/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f*b/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*b+2/d^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*b+2/d/(a^2+b^2)^(1/2)*a*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/b/d^2*a*f*c/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/b/d^2*a^3*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/b/d*a^3*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2*b/d*a*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2*b/d^2*a*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/b/d*a^3*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/b/d^2*a^3*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/b/d^2*a^3*f*c/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2*b/d*a*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-2*b/d^2*a*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/b/d^2*f/(a^2+b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2+1/b/d^2*f/(a^2+b^2)^(3/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^3+1/b/d^2*f/(a^2+b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2-b/d^2*f/(a^2+b^2)^(3/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a+b/d^2*f/(a^2+b^2)^(3/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a+1/2*b/d*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2*I/d^2*a*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-2*I/d^2*a*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))-2/d^2/(a^2+b^2)^(1/2)*a*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/2*b/d^2*f/(a^2+b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/2*b/d^2*f/(a^2+b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/2*b/d*e/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/b/d^2*f*c/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)*a^2-2/b/d^2*a^3*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/b/d^2*a^3*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/b/d^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3+2*b/d^2*a*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2*b/d^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a-2*b/d^2*a*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/b/d*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^3*x-1/b/d^2*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^3*c+1/b/d*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^3*x+1/b/d^2*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^3*c+1/b/d*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2*x+1/b/d^2*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2*c+1/b/d*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2*x+1/b/d^2*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2*c+2/b/d*a*e/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/b/d*a^3*e/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-b/d*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*x-b/d^2*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*c","B"
380,1,153,74,0.003000," ","int(sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}+\frac{a^{2} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d b \left(a^{2}+b^{2}\right)}+\frac{4 b \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{8 a \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(4 a^{2}+4 b^{2}\right)}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*a^2/b/(a^2+b^2)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+4/d/(4*a^2+4*b^2)*b*ln(tanh(1/2*d*x+1/2*c)^2+1)-8/d/(4*a^2+4*b^2)*a*arctan(tanh(1/2*d*x+1/2*c))","B"
381,0,0,34,0.576000," ","int(sinh(d*x+c)*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\sinh \left(d x +c \right) \tanh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
382,0,0,1048,1.740000," ","int((f*x+e)^3*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\tanh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
383,0,0,728,1.233000," ","int((f*x+e)^2*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\tanh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
384,1,1928,365,0.260000," ","int((f*x+e)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{2 f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{d^{2} \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}+\frac{4 a^{2} b f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{b^{2} f a \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a^{2} c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a^{2} c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a^{2} x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a^{2} x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{a \,b^{2} f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{2 \left(a^{2}+b^{2}\right)^{2} d^{2}}+\frac{4 b^{3} f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{d \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 a^{4} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{2 b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{4} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{4} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{4 a^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{4} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 \left(f x +e \right) \left(-b \,{\mathrm e}^{d x +c}+a \right)}{d \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)}-\frac{2 a f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}+\frac{a^{3} f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right)^{2} d^{2}}"," ",0,"-2/(a^2+b^2)^(5/2)/d^2*a^2*b^2*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+4/(a^2+b^2)/d^2*a^2*b*f/(2*a^2+2*b^2)*arctan(exp(d*x+c))+4/(a^2+b^2)^(1/2)/d^2*a^2*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)^(3/2)/d^2*b^4*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(1/2)/d^2*b^2*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)/d^2*b^2*f/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))-1/(a^2+b^2)/d^2*b^2*f/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2*f*c/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2/(a^2+b^2)^(3/2)/d^2*a^4*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d^2*a^4*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d*a^4*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2*c+2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2*c+2/(a^2+b^2)^(3/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-2/(a^2+b^2)^(3/2)/d*b^2*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2*x+2/(a^2+b^2)^(3/2)/d*b^2*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2*x+2/(a^2+b^2)/d^2*a^3*f/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))+1/2/(a^2+b^2)^2/d^2*a*b^2*f*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+4/(a^2+b^2)/d^2*b^3*f/(2*a^2+2*b^2)*arctan(exp(d*x+c))-2/(a^2+b^2)^(5/2)/d^2*a^4*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)/d^2*a^3*f/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/(a^2+b^2)^(3/2)/d*a^4*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/(a^2+b^2)^(3/2)/d*a^4*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-2/(a^2+b^2)^(3/2)/d^2*a^4*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/(a^2+b^2)^(3/2)/d^2*a^4*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/(a^2+b^2)^(3/2)/d^2*a^4*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d*e/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2*(f*x+e)*(-b*exp(d*x+c)+a)/d/(a^2+b^2)/(1+exp(2*d*x+2*c))-2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a^2-2/(a^2+b^2)^(3/2)/d^2*b^2*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a^2-2/(a^2+b^2)^(3/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-2/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c))+1/(a^2+b^2)^2/d^2*a^3*f*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)","B"
385,1,103,85,0.003000," ","int(tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{\frac{8 a^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(4 a^{2}+4 b^{2}\right) \sqrt{a^{2}+b^{2}}}+\frac{-2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}}{d}"," ",0,"1/d*(8*a^2/(4*a^2+4*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+2/(a^2+b^2)*(-a*tanh(1/2*d*x+1/2*c)-b)/(tanh(1/2*d*x+1/2*c)^2+1))","A"
386,0,0,30,0.676000," ","int(tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\tanh^{2}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
387,0,0,1189,1.070000," ","int((f*x+e)^2*sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{sech}\left(d x +c \right) \left(\tanh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
388,1,2068,701,0.272000," ","int((f*x+e)*sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{2 a^{2} b f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f c \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a \,b^{2} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{a b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}\, \left(2 a^{2}+2 b^{2}\right)}+\frac{a \,b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}+\frac{a^{3} b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}+\frac{i a \,b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a \,b^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{a b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}\, \left(2 a^{2}+2 b^{2}\right)}-\frac{a \,b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{a^{3} b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{i a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a \,b^{2} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a \,b^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a \,b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a \,b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a \,b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i a^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i a^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{a d f x \,{\mathrm e}^{3 d x +3 c}+a d e \,{\mathrm e}^{3 d x +3 c}+2 b d f x \,{\mathrm e}^{2 d x +2 c}-a d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{3 d x +3 c}+2 b d e \,{\mathrm e}^{2 d x +2 c}-a d e \,{\mathrm e}^{d x +c}+b f \,{\mathrm e}^{2 d x +2 c}+a f \,{\mathrm e}^{d x +c}+b f}{d^{2} \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)^{2}}+\frac{2 a^{2} b f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b e \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}"," ",0,"-2/d^2/(a^2+b^2)*a^2*b*f*c/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/(a^2+b^2)*a^2*b*f*c/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))-2/d/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-2/d/(a^2+b^2)*a*b^2*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-2/d^2/(a^2+b^2)*a^3*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))-I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))+2/d/(a^2+b^2)*a^3*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x+I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-2/d/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))+2/d^2/(a^2+b^2)*a*b^2*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x+I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-1/d/(a^2+b^2)^(1/2)*a*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(3/2)*a*b^3*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))+2/d/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/d/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d/(a^2+b^2)^(3/2)*a^3*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-I/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-I/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-I/d/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x+1/d^2/(a^2+b^2)^(1/2)*a*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(3/2)*a*b^3*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(3/2)*a^3*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-I/d^2/(a^2+b^2)*a*b^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-(a*d*f*x*exp(3*d*x+3*c)+a*d*e*exp(3*d*x+3*c)+2*b*d*f*x*exp(2*d*x+2*c)-a*d*f*x*exp(d*x+c)+a*f*exp(3*d*x+3*c)+2*b*d*e*exp(2*d*x+2*c)-a*d*e*exp(d*x+c)+b*f*exp(2*d*x+2*c)+a*f*exp(d*x+c)+b*f)/d^2/(a^2+b^2)/(1+exp(2*d*x+2*c))^2+2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-2/d^2/(a^2+b^2)*a^2*b*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))+2/d/(a^2+b^2)*a^2*b*e/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/(a^2+b^2)*a^2*b*e/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))","B"
389,1,475,117,0.003000," ","int(sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{4 a^{2} b \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(4 a^{4}+8 a^{2} b^{2}+4 b^{4}\right)}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}"," ",0,"4/d*a^2*b/(4*a^4+8*a^2*b^2+4*b^4)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^3+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a*b^2+2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^2*b+2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*b^3-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^3-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a*b^2-1/d/(a^4+2*a^2*b^2+b^4)*ln(tanh(1/2*d*x+1/2*c)^2+1)*a^2*b+1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a^3-1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a*b^2","B"
390,0,0,36,1.441000," ","int(sech(d*x+c)*tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{sech}\left(d x +c \right) \left(\tanh^{2}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sech(d*x+c)*tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
391,0,0,740,0.576000," ","int((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right) \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
392,0,0,538,0.420000," ","int((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right) \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
393,1,671,322,0.207000," ","int((f*x+e)*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{a^{3} f \,x^{2}}{2 b^{4}}-\frac{a^{3} e x}{b^{4}}+\frac{\left(3 d f x +3 d e -f \right) {\mathrm e}^{3 d x +3 c}}{72 b \,d^{2}}-\frac{a \left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 b^{2} d^{2}}+\frac{\left(4 a^{2} d f x -b^{2} d f x +4 a^{2} d e -b^{2} d e -4 a^{2} f +f \,b^{2}\right) {\mathrm e}^{d x +c}}{8 b^{3} d^{2}}-\frac{\left(4 a^{2}-b^{2}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{8 b^{3} d^{2}}-\frac{a \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 b^{2} d^{2}}-\frac{\left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{72 b \,d^{2}}+\frac{a^{3} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{4}}-\frac{2 a^{3} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{4}}-\frac{a^{3} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{4}}+\frac{2 a^{3} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4}}-\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4}}-\frac{a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4}}-\frac{a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4}}+\frac{2 a^{3} f c x}{d \,b^{4}}+\frac{a^{3} f \,c^{2}}{d^{2} b^{4}}"," ",0,"1/2*a^3*f*x^2/b^4-a^3*e*x/b^4+1/72*(3*d*f*x+3*d*e-f)/b/d^2*exp(3*d*x+3*c)-1/16*a*(2*d*f*x+2*d*e-f)/b^2/d^2*exp(2*d*x+2*c)+1/8*(4*a^2*d*f*x-b^2*d*f*x+4*a^2*d*e-b^2*d*e-4*a^2*f+b^2*f)/b^3/d^2*exp(d*x+c)-1/8*(4*a^2-b^2)*(d*f*x+d*e+f)/b^3/d^2*exp(-d*x-c)-1/16*a*(2*d*f*x+2*d*e+f)/b^2/d^2*exp(-2*d*x-2*c)-1/72*(3*d*f*x+3*d*e+f)/b/d^2*exp(-3*d*x-3*c)+1/d^2*a^3/b^4*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a^3/b^4*f*c*ln(exp(d*x+c))-1/d*a^3/b^4*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a^3/b^4*e*ln(exp(d*x+c))-1/d*a^3/b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^3/b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*a^3/b^4*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a^3/b^4*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d*a^3/b^4*f*c*x+1/d^2*a^3/b^4*f*c^2","B"
394,1,73,72,0.041000," ","int(cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{a^{3} \ln \left(a +b \sinh \left(d x +c \right)\right)}{b^{4} d}+\frac{a^{2} \sinh \left(d x +c \right)}{b^{3} d}-\frac{a \left(\sinh^{2}\left(d x +c \right)\right)}{2 b^{2} d}+\frac{\sinh^{3}\left(d x +c \right)}{3 b d}"," ",0,"-a^3*ln(a+b*sinh(d*x+c))/b^4/d+a^2*sinh(d*x+c)/b^3/d-1/2*a*sinh(d*x+c)^2/b^2/d+1/3*sinh(d*x+c)^3/b/d","A"
395,0,0,36,0.250000," ","int(cosh(d*x+c)*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right) \left(\sinh^{3}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
396,0,0,958,0.559000," ","int((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right) \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
397,0,0,695,0.476000," ","int((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right) \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
398,1,1213,432,0.204000," ","int((f*x+e)*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{f \,x^{2}}{16 b}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{2 a^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{5} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{5} \sqrt{a^{2}+b^{2}}}-\frac{a^{5} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{5} \sqrt{a^{2}+b^{2}}}+\frac{a^{5} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{5} \sqrt{a^{2}+b^{2}}}+\frac{a^{5} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{5} \sqrt{a^{2}+b^{2}}}-\frac{2 a^{5} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{5} \sqrt{a^{2}+b^{2}}}+\frac{2 a^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{3} \sqrt{a^{2}+b^{2}}}-\frac{a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{3} \sqrt{a^{2}+b^{2}}}+\frac{a^{2} e x}{2 b^{3}}-\frac{e x}{8 b}-\frac{a \left(4 a^{2}+b^{2}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{8 b^{4} d^{2}}+\frac{a^{2} f \,x^{2}}{4 b^{3}}+\frac{a^{4} f \,x^{2}}{2 b^{5}}+\frac{a^{5} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{5} \sqrt{a^{2}+b^{2}}}+\frac{2 a^{5} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{5} \sqrt{a^{2}+b^{2}}}-\frac{a^{5} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{5} \sqrt{a^{2}+b^{2}}}+\frac{a^{4} e x}{b^{5}}-\frac{a \left(3 d f x +3 d e -f \right) {\mathrm e}^{3 d x +3 c}}{72 b^{2} d^{2}}-\frac{a \left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{72 b^{2} d^{2}}+\frac{\left(4 d f x +4 d e -f \right) {\mathrm e}^{4 d x +4 c}}{256 b \,d^{2}}-\frac{\left(4 d f x +4 d e +f \right) {\mathrm e}^{-4 d x -4 c}}{256 b \,d^{2}}-\frac{a \left(4 a^{2} d f x +b^{2} d f x +4 a^{2} d e +b^{2} d e -4 a^{2} f -f \,b^{2}\right) {\mathrm e}^{d x +c}}{8 b^{4} d^{2}}+\frac{a^{2} \left(2 d f x +2 d e -f \right) {\mathrm e}^{2 d x +2 c}}{16 b^{3} d^{2}}-\frac{a^{2} \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{16 b^{3} d^{2}}"," ",0,"-1/16*f*x^2/b-1/d*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/d^2*a^3/b^3*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d*a^5/b^5*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^5/b^5*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a^5/b^5*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a^5/b^5*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/d^2*a^5/b^5*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d*a^3/b^3*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a^3/b^3*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/2*a^2*e*x/b^3-1/8*e*x/b-1/8*a*(4*a^2+b^2)*(d*f*x+d*e+f)/b^4/d^2*exp(-d*x-c)+1/4*a^2*f*x^2/b^3+1/2*a^4*f*x^2/b^5+2/d*a^5/b^5*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2*a^5/b^5*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a^5/b^5*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+a^4*e*x/b^5-1/72*a*(3*d*f*x+3*d*e-f)/b^2/d^2*exp(3*d*x+3*c)-1/72*a*(3*d*f*x+3*d*e+f)/b^2/d^2*exp(-3*d*x-3*c)+1/256*(4*d*f*x+4*d*e-f)/b/d^2*exp(4*d*x+4*c)-1/256*(4*d*f*x+4*d*e+f)/b/d^2*exp(-4*d*x-4*c)-1/8*a*(4*a^2*d*f*x+b^2*d*f*x+4*a^2*d*e+b^2*d*e-4*a^2*f-b^2*f)/b^4/d^2*exp(d*x+c)+1/16*a^2*(2*d*f*x+2*d*e-f)/b^3/d^2*exp(2*d*x+2*c)-1/16*a^2*(2*d*f*x+2*d*e+f)/b^3/d^2*exp(-2*d*x-2*c)","B"
399,1,624,169,0.082000," ","int(cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{a}{2 d \,b^{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) a^{2}}{2 d \,b^{3}}-\frac{a}{2 d \,b^{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) a^{2}}{2 d \,b^{3}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a^{4} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{5}}-\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{4} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{5}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d b}-\frac{2 a^{3} \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,b^{5}}+\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}-\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/2/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/2/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2+1/3/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)-1)^2*a^2+1/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^3-1/d*a^4/b^5*ln(tanh(1/2*d*x+1/2*c)-1)-1/3/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3*a-1/2/d/b^3/(tanh(1/2*d*x+1/2*c)+1)^2*a^2-1/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^3+1/d*a^4/b^5*ln(tanh(1/2*d*x+1/2*c)+1)-1/8/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/8/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-2/d*a^3*(a^2+b^2)^(1/2)/b^5*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+1/4/d/b/(tanh(1/2*d*x+1/2*c)-1)^4-1/4/d/b/(tanh(1/2*d*x+1/2*c)+1)^4+3/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-3/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^3+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+1/8/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/8/d/b/(tanh(1/2*d*x+1/2*c)+1)","B"
400,0,0,38,0.202000," ","int(cosh(d*x+c)^2*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{2}\left(d x +c \right)\right) \left(\sinh^{3}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^2*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
401,0,0,1349,0.681000," ","int((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{3}\left(d x +c \right)\right) \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
402,0,0,975,0.510000," ","int((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{3}\left(d x +c \right)\right) \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
403,1,1363,593,0.234000," ","int((f*x+e)*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{a^{3} e x}{b^{4}}+\frac{\left(5 d f x +5 d e -f \right) {\mathrm e}^{5 d x +5 c}}{800 b \,d^{2}}+\frac{\left(8 a^{4} d f x +6 a^{2} b^{2} d f x -b^{4} d f x +8 a^{4} d e +6 a^{2} b^{2} d e -b^{4} d e -8 a^{4} f -6 a^{2} b^{2} f +b^{4} f \right) {\mathrm e}^{d x +c}}{16 b^{5} d^{2}}-\frac{a \left(2 a^{2}+b^{2}\right) \left(2 d f x +2 d e +f \right) {\mathrm e}^{-2 d x -2 c}}{32 b^{4} d^{2}}+\frac{a^{3} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{4}}-\frac{2 a^{3} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{4}}+\frac{2 a^{3} f c x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4}}-\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{4}}-\frac{a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{4}}-\frac{\left(5 d f x +5 d e +f \right) {\mathrm e}^{-5 d x -5 c}}{800 b \,d^{2}}+\frac{\left(12 a^{2} d f x +3 b^{2} d f x +12 a^{2} d e +3 b^{2} d e -4 a^{2} f -f \,b^{2}\right) {\mathrm e}^{3 d x +3 c}}{288 b^{3} d^{2}}+\frac{a^{3} f \,x^{2}}{2 b^{4}}-\frac{a^{5} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{6}}+\frac{a^{5} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{6}}-\frac{2 a^{5} f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{6}}-\frac{a^{5} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{6}}-\frac{a^{5} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{6}}-\frac{a^{5} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{6}}+\frac{2 a^{5} f c x}{d \,b^{6}}+\frac{a^{5} f \,c^{2}}{d^{2} b^{6}}-\frac{a^{5} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{6}}+\frac{2 a^{5} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{6}}-\frac{a^{5} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{6}}-\frac{a^{5} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{6}}+\frac{a^{5} f \,x^{2}}{2 b^{6}}-\frac{a^{5} e x}{b^{6}}-\frac{a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4}}-\frac{a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{4}}-\frac{a \left(4 d f x +4 d e -f \right) {\mathrm e}^{4 d x +4 c}}{256 b^{2} d^{2}}-\frac{a \left(4 a^{2} d f x +2 b^{2} d f x +4 a^{2} d e +2 b^{2} d e -2 a^{2} f -f \,b^{2}\right) {\mathrm e}^{2 d x +2 c}}{32 b^{4} d^{2}}-\frac{\left(8 a^{4}+6 a^{2} b^{2}-b^{4}\right) \left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{16 b^{5} d^{2}}-\frac{\left(4 a^{2}+b^{2}\right) \left(3 d f x +3 d e +f \right) {\mathrm e}^{-3 d x -3 c}}{288 b^{3} d^{2}}-\frac{a \left(4 d f x +4 d e +f \right) {\mathrm e}^{-4 d x -4 c}}{256 b^{2} d^{2}}+\frac{a^{3} f \,c^{2}}{d^{2} b^{4}}-\frac{a^{3} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{4}}+\frac{2 a^{3} e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{4}}"," ",0,"-a^3*e*x/b^4+1/800*(5*d*f*x+5*d*e-f)/b/d^2*exp(5*d*x+5*c)+1/16*(8*a^4*d*f*x+6*a^2*b^2*d*f*x-b^4*d*f*x+8*a^4*d*e+6*a^2*b^2*d*e-b^4*d*e-8*a^4*f-6*a^2*b^2*f+b^4*f)/b^5/d^2*exp(d*x+c)-1/32*a*(2*a^2+b^2)*(2*d*f*x+2*d*e+f)/b^4/d^2*exp(-2*d*x-2*c)+1/d^2*a^3/b^4*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a^3/b^4*f*c*ln(exp(d*x+c))+2/d*a^3/b^4*f*c*x-1/d*a^3/b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^3/b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a^3/b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/800*(5*d*f*x+5*d*e+f)/b/d^2*exp(-5*d*x-5*c)+1/288*(12*a^2*d*f*x+3*b^2*d*f*x+12*a^2*d*e+3*b^2*d*e-4*a^2*f-b^2*f)/b^3/d^2*exp(3*d*x+3*c)+1/2*a^3*f*x^2/b^4-1/d^2*a^5/b^6*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*a^5/b^6*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a^5/b^6*f*c*ln(exp(d*x+c))-1/d*a^5/b^6*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^5/b^6*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a^5/b^6*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2/d*a^5/b^6*f*c*x+1/d^2*a^5/b^6*f*c^2-1/d*a^5/b^6*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a^5/b^6*e*ln(exp(d*x+c))-1/d^2*a^5/b^6*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a^5/b^6*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/2*a^5/b^6*f*x^2-a^5/b^6*e*x-1/256*a*(4*d*f*x+4*d*e-f)/b^2/d^2*exp(4*d*x+4*c)-1/32*a*(4*a^2*d*f*x+2*b^2*d*f*x+4*a^2*d*e+2*b^2*d*e-2*a^2*f-b^2*f)/b^4/d^2*exp(2*d*x+2*c)-1/16*(8*a^4+6*a^2*b^2-b^4)*(d*f*x+d*e+f)/b^5/d^2*exp(-d*x-c)-1/288*(4*a^2+b^2)*(3*d*f*x+3*d*e+f)/b^3/d^2*exp(-3*d*x-3*c)-1/256*a*(4*d*f*x+4*d*e+f)/b^2/d^2*exp(-4*d*x-4*c)+1/d^2*a^3/b^4*f*c^2-1/d^2*a^3/b^4*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a^3/b^4*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d*a^3/b^4*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a^3/b^4*e*ln(exp(d*x+c))","B"
404,1,804,133,0.137000," ","int(cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{a^{3}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{4}}{d \,b^{5} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a}{4 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}-\frac{a^{2}}{3 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a^{3}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a^{4}}{d \,b^{5} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{4}}-\frac{a^{5} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{6}}-\frac{3 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{3 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{4}}-\frac{5 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{4}}-\frac{5 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{5} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{6}}+\frac{a^{5} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{6}}-\frac{a}{4 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{a^{2}}{3 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a^{3}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{a^{2}}{2 d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{3}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{5 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{5}}-\frac{1}{5 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{7}{12 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{7}{12 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}"," ",0,"-1/2/d/b^4/(tanh(1/2*d*x+1/2*c)+1)^2*a^3-1/d*a^4/b^5/(tanh(1/2*d*x+1/2*c)+1)-1/4/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^4*a-1/3/d/b^3/(tanh(1/2*d*x+1/2*c)-1)^3*a^2-1/2/d/b^4/(tanh(1/2*d*x+1/2*c)-1)^2*a^3-1/d*a^4/b^5/(tanh(1/2*d*x+1/2*c)-1)-3/8/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a+3/8/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-5/8/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a-1/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2+1/d*a^3/b^4*ln(tanh(1/2*d*x+1/2*c)-1)-5/8/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a-1/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2+1/d*a^5/b^6*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a^5/b^6*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d*a^5/b^6*ln(tanh(1/2*d*x+1/2*c)-1)-1/4/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^4*a-1/3/d/b^3/(tanh(1/2*d*x+1/2*c)+1)^3*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3*a-1/2/d/b^3/(tanh(1/2*d*x+1/2*c)-1)^2*a^2-1/2/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^3+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3*a+1/2/d/b^3/(tanh(1/2*d*x+1/2*c)+1)^2*a^2+1/2/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^3-1/5/d/b/(tanh(1/2*d*x+1/2*c)-1)^5-1/5/d/b/(tanh(1/2*d*x+1/2*c)+1)^5-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^4-3/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+3/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-7/12/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-7/12/d/b/(tanh(1/2*d*x+1/2*c)+1)^3","B"
405,0,0,38,0.344000," ","int(cosh(d*x+c)^3*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{3}\left(d x +c \right)\right) \left(\sinh^{3}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^3*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
406,0,0,1424,2.372000," ","int((f*x+e)^3*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\sinh^{2}\left(d x +c \right)\right) \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
407,0,0,1004,1.553000," ","int((f*x+e)^2*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\sinh^{2}\left(d x +c \right)\right) \tanh \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
408,1,4066,592,0.433000," ","int((f*x+e)*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","\text{output too large to display}"," ",0,"2/(a^2+b^2)^(1/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-a*e*x/b^2+1/2*(d*f*x+d*e-f)/d^2/b*exp(d*x+c)-1/2*(d*f*x+d*e+f)/d^2/b*exp(-d*x-c)+1/2*a*f*x^2/b^2+2/d*a/b^2*f*c*x-2/d^2*a/b^2*f*c*ln(exp(d*x+c))+4/d^2*f*c/(2*a^2+2*b^2)*b*arctan(exp(d*x+c))-1/d^2*f*c/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2*f*c/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d^2*f*c/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))+1/d^2*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*c-2/d*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*x-2/d^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*a*c+1/d*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*x+1/d^2*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a*c+1/d*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a*x-2/d*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*x-2/d^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*a*c-1/2/d^2*a*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d*a^2*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a^2*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a^2*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a^2*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2*a^2*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d^2*a^2*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d/b^2*a^4*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/b^2*a^3*e/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d^2/b^2*a^4*f/(a^2+b^2)^(3/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2/b^2*a^3*f/(a^2+b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2/b^2*a^3*f/(a^2+b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d/b^2*a^2*e/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d/b^2*a^4*e/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2*a^2*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d*a^2*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*a/b^2*f*c^2+2/d*a/b^2*e*ln(exp(d*x+c))-2/d*e/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d*e/(2*a^2+2*b^2)*a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d*e/(2*a^2+2*b^2)*a*ln(1+exp(2*d*x+2*c))-4/d*e/(2*a^2+2*b^2)*b*arctan(exp(d*x+c))+2/d/b^2*a^4*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d^2/b^2*a^4*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/d^2/b^2*a^2*f*c/(2*a^2+2*b^2)*(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d^2/b^2*a^4*f*c/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d/b^2*a^4*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-2/d^2/b^2*a^4*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/(a^2+b^2)^(1/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*a+1/d^2*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*a-2/d^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))*a-2/d^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*a-1/d^2/b^2*a^4*f/(a^2+b^2)^(3/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/2/d^2*a*f*c/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/d*a*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/2/d^2*a*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/2/d*a*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+2*I/d^2*b*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-2*I/d^2*b*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))+2/d^2*a^2*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/d*a^2*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d/b^2*a^4*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b^2*a^4*f/(a^2+b^2)^(3/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d/b^2*a^4*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/b^2*a^4*f/(a^2+b^2)^(3/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d/b^2*a^3*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/b^2*a^3*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d/b^2*a^3*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/b^2*a^3*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2/b^2*a^4*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d^2/b^2*a^4*f/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d^2/b^2*a^4*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/b^2*a^3*f*c/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2*I/d*b*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x+2*I/d^2*b*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-2*I/d*b*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-2*I/d^2*b*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c+1/d^2*a^2*f/(a^2+b^2)^(3/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/2/d^2*a*f/(a^2+b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/2/d^2*a*f/(a^2+b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a^2*f/(a^2+b^2)^(3/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d*a^2*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/d*a*e/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)","B"
409,1,196,89,0.114000," ","int(sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{a^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{2} \left(a^{2}+b^{2}\right)}-\frac{8 a \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(8 a^{2}+8 b^{2}\right)}-\frac{16 b \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(8 a^{2}+8 b^{2}\right)}"," ",0,"-1/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a^3/b^2/(a^2+b^2)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-8/d/(8*a^2+8*b^2)*a*ln(tanh(1/2*d*x+1/2*c)^2+1)-16/d/(8*a^2+8*b^2)*b*arctan(tanh(1/2*d*x+1/2*c))","B"
410,0,0,36,1.231000," ","int(sinh(d*x+c)^2*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\sinh^{2}\left(d x +c \right)\right) \tanh \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^2*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
411,0,0,1220,2.382000," ","int((f*x+e)^3*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \sinh \left(d x +c \right) \left(\tanh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
412,0,0,858,1.288000," ","int((f*x+e)^2*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \sinh \left(d x +c \right) \left(\tanh^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
413,1,1897,432,0.315000," ","int((f*x+e)*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{f \,x^{2}}{2 b}+\frac{e x}{b}-\frac{2 a^{5} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \,d^{2} \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 a^{3} b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{f \,b^{3} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 f \,b^{3} \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{4 a^{3} f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{f b \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right) a^{2}}{\left(a^{2}+b^{2}\right)^{2} d^{2}}+\frac{2 a^{3} b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{2} b f \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{2} b f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{4 f \,b^{2} a \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{5} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{5} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{5} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a b f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} b f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} b f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a \,b^{3} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 \left(f x +e \right) \left(a \,{\mathrm e}^{d x +c}+b \right)}{d \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)}-\frac{2 b f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}+\frac{f \,b^{3} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{2 \left(a^{2}+b^{2}\right)^{2} d^{2}}-\frac{2 a^{3} b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{5} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{5} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{5} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{5} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} b \left(2 a^{2}+2 b^{2}\right)}-\frac{2 f b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{3}}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{2 f \,b^{3} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{2 a^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b d \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}"," ",0,"1/2*f*x^2/b+e*x/b+2/d/(a^2+b^2)^(3/2)/b*a^5*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)^(3/2)/b*a^5*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/d^2/(a^2+b^2)^(3/2)/b*a^5*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/(a^2+b^2)^(3/2)/d*a^3*b*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/(a^2+b^2)^(3/2)/d*a^3*b*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)/d^2*f*b^3/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/(a^2+b^2)/d^2*f*b^3/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))-4/(a^2+b^2)/d^2*a^3*f/(2*a^2+2*b^2)*arctan(exp(d*x+c))+1/(a^2+b^2)^2/d^2*f*b*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)*a^2+2/(a^2+b^2)^(1/2)/d^2*a*b*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/(a^2+b^2)^(3/2)/d^2*a^3*b*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+2/(a^2+b^2)^(3/2)/d^2*a*b^3*f/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)/d^2*a^2*b*f/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/(a^2+b^2)/d^2*a^2*b*f/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))-2/(a^2+b^2)^(5/2)/d^2*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3-2/(a^2+b^2)^(5/2)/d^2*f*b^3*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a-4/(a^2+b^2)/d^2*f*b^2/(2*a^2+2*b^2)*a*arctan(exp(d*x+c))-2/d^2/(a^2+b^2)^(3/2)/b*a^5*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2*(f*x+e)*(a*exp(d*x+c)+b)/d/(a^2+b^2)/(1+exp(2*d*x+2*c))-2/(a^2+b^2)/d^2*b*f*ln(exp(d*x+c))+1/2/(a^2+b^2)^2/d^2*f*b^3*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/b/d^2*a^3*f*c/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d/(a^2+b^2)^(3/2)*a^3*b*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)^(3/2)*a^3*b*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d/(a^2+b^2)^(3/2)/b*a^5*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2/d/(a^2+b^2)^(3/2)/b*a^5*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-2/d^2/(a^2+b^2)^(3/2)/b*a^5*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/d^2/(a^2+b^2)^(3/2)/b*a^5*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/b/d*a^3*e/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
414,1,158,116,0.004000," ","int(sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}-\frac{2 a^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d b \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{2 a}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/b*a^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*tanh(1/2*d*x+1/2*c)*b+2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*a","A"
415,0,0,36,0.864000," ","int(sinh(d*x+c)*tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\sinh \left(d x +c \right) \left(\tanh^{2}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)*tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
416,0,0,1397,1.229000," ","int((f*x+e)^2*tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\tanh^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
417,1,2284,820,0.336000," ","int((f*x+e)*tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{2 f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{d^{2} \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}\, d \left(2 a^{2}+2 b^{2}\right)}+\frac{3 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}+\frac{2 e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{d \left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 a^{3} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} e \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{b^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{6 b \,a^{2} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{3 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \left(2 a^{2}+2 b^{2}\right)}-\frac{3 i b \,a^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{3 i a^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) b x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{3 i a^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{3 i b \,a^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 b^{3} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{3 i b \,a^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{3 i a^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{i b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{-b d f x \,{\mathrm e}^{3 d x +3 c}+2 a d f x \,{\mathrm e}^{2 d x +2 c}-b d e \,{\mathrm e}^{3 d x +3 c}+2 a d e \,{\mathrm e}^{2 d x +2 c}+b d f x \,{\mathrm e}^{d x +c}-b f \,{\mathrm e}^{3 d x +3 c}+a f \,{\mathrm e}^{2 d x +2 c}+b d e \,{\mathrm e}^{d x +c}-f b \,{\mathrm e}^{d x +c}+a f}{d^{2} \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)^{2}}-\frac{6 b \,a^{2} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{i b^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 b^{3} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{b^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f c \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}-\frac{2 a^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}+\frac{2 a^{3} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(a^{2}+b^{2}\right) \left(2 a^{2}+2 b^{2}\right)}"," ",0,"-1/(a^2+b^2)^(3/2)/d*b^4*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)^(1/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2*f*c/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-2/(a^2+b^2)^(3/2)/d*a^4*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3/(a^2+b^2)^(3/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2+2/(a^2+b^2)^(3/2)/d^2*a^4*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d*e/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-2/d/(a^2+b^2)*a^3*e/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d/(a^2+b^2)*a^3*e/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))+2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))+6/d*b/(a^2+b^2)*a^2*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))-3*I/d*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-3*I/d^2*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c+3*I/d/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*x+3*I/d^2/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*b*c+2/d*b^3/(a^2+b^2)*e/(2*a^2+2*b^2)*arctan(exp(d*x+c))-3*I/d^2*b/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*dilog(1+I*exp(d*x+c))+3*I/d^2/(a^2+b^2)*a^2*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))*b+(-b*d*f*x*exp(3*d*x+3*c)+2*a*d*f*x*exp(2*d*x+2*c)-b*d*e*exp(3*d*x+3*c)+2*a*d*e*exp(2*d*x+2*c)+b*d*f*x*exp(d*x+c)-b*f*exp(3*d*x+3*c)+a*f*exp(2*d*x+2*c)+b*d*e*exp(d*x+c)-f*b*exp(d*x+c)+a*f)/d^2/(a^2+b^2)/(1+exp(2*d*x+2*c))^2+1/(a^2+b^2)^(3/2)/d^2*b^4*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-3/(a^2+b^2)^(3/2)/d*b^2*e/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^2-1/(a^2+b^2)^(1/2)/d^2*b^2*f*c/(2*a^2+2*b^2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-I/d*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x-I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c-6/d^2*b/(a^2+b^2)*a^2*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x-2/d^2*b^3/(a^2+b^2)*f*c/(2*a^2+2*b^2)*arctan(exp(d*x+c))+I/d^2*b^3/(a^2+b^2)*f/(2*a^2+2*b^2)*dilog(1-I*exp(d*x+c))-2/d^2/(a^2+b^2)*a^3*f*c/(2*a^2+2*b^2)*ln(1+exp(2*d*x+2*c))+2/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*x+2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1+I*exp(d*x+c))*c+2/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*x+2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln(1-I*exp(d*x+c))*c-2/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-2/d/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-2/d^2/(a^2+b^2)*a^3*f/(2*a^2+2*b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2/(a^2+b^2)*a^3*f*c/(2*a^2+2*b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)","B"
418,1,472,116,0.003000," ","int(tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{8 a^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(8 a^{4}+16 a^{2} b^{2}+8 b^{4}\right)}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{3} \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}"," ",0,"-8/d*a^3/(8*a^4+16*a^2*b^2+8*b^4)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^2*b+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b^3-2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^3-2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a*b^2-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^2*b-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b^3+1/d/(a^4+2*a^2*b^2+b^4)*a^3*ln(tanh(1/2*d*x+1/2*c)^2+1)+3/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a^2*b+1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*b^3","B"
419,0,0,30,1.517000," ","int(tanh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\tanh^{3}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(tanh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
420,0,0,421,0.838000," ","int((f*x+e)^3*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \coth \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
421,0,0,305,0.578000," ","int((f*x+e)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \coth \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
422,1,451,191,0.210000," ","int((f*x+e)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a}-\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}-\frac{e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d a}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}-\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d a}-\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d a}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a}+\frac{f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}"," ",0,"1/d^2*f/a*dilog(exp(d*x+c)+1)-1/d^2*f/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*f*dilog(exp(d*x+c))/a+1/a/d*e*ln(exp(d*x+c)+1)-1/d*e/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/a/d*e*ln(exp(d*x+c)-1)+1/a/d*ln(exp(d*x+c)+1)*f*x-1/d*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*f*c/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/a/d^2*f*c*ln(exp(d*x+c)-1)","B"
423,1,35,34,0.003000," ","int(coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{\ln \left(\sinh \left(d x +c \right)\right)}{a d}-\frac{\ln \left(a +b \sinh \left(d x +c \right)\right)}{a d}"," ",0,"ln(sinh(d*x+c))/a/d-ln(a+b*sinh(d*x+c))/a/d","A"
424,0,0,28,0.572000," ","int(coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\coth \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
425,0,0,589,1.612000," ","int((f*x+e)^3*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right) \coth \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
426,0,0,425,1.086000," ","int((f*x+e)^2*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right) \coth \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
427,1,970,261,0.283000," ","int((f*x+e)*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{f \,x^{2}}{2 b}+\frac{e x}{b}-\frac{2 a f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d b \sqrt{a^{2}+b^{2}}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d b \sqrt{a^{2}+b^{2}}}+\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{2 a e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d b \sqrt{a^{2}+b^{2}}}-\frac{2 f c b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}-\frac{f b \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{f b \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}-\frac{f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{2 e b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}-\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}-\frac{a f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{a f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b \sqrt{a^{2}+b^{2}}}+\frac{f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}+\frac{f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}"," ",0,"1/2*f*x^2/b+e*x/b-2/d^2*a/b*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d*a/b*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*a/b*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*a/b*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d*a/b*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2*f*c*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/a/d*ln(exp(d*x+c)+1)*f*x-1/d^2*f*b/a/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*f*b/a/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/a/d^2*f*c*ln(exp(d*x+c)-1)-1/d*f*b/a/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b/a/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+2/d*e*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/a/d*e*ln(exp(d*x+c)+1)+1/a/d*e*ln(exp(d*x+c)-1)-1/d^2*a/b*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*a/b*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d*f*b/a/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*f*b/a/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2*f/a*dilog(exp(d*x+c)+1)-1/d^2*f*dilog(exp(d*x+c))/a","B"
428,1,150,66,0.003000," ","int(cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}-\frac{2 a \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d b \sqrt{a^{2}+b^{2}}}-\frac{2 b \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-2/d*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-2/d/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+1/d/a*ln(tanh(1/2*d*x+1/2*c))","B"
429,0,0,34,0.894000," ","int(cosh(d*x+c)*coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right) \coth \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)*coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
430,0,0,622,2.681000," ","int((f*x+e)^3*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\cosh^{2}\left(d x +c \right)\right) \coth \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
431,0,0,462,1.728000," ","int((f*x+e)^2*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\cosh^{2}\left(d x +c \right)\right) \coth \left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
432,1,932,304,0.370000," ","int((f*x+e)*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}-\frac{a e x}{b^{2}}+\frac{\left(d f x +d e -f \right) {\mathrm e}^{d x +c}}{2 d^{2} b}-\frac{\left(d f x +d e +f \right) {\mathrm e}^{-d x -c}}{2 d^{2} b}+\frac{a f \,x^{2}}{2 b^{2}}-\frac{e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d a}+\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a}-\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{2 a f c x}{d \,b^{2}}+\frac{a f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b^{2}}-\frac{2 a f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{2}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2}}-\frac{a f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2}}-\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,b^{2}}-\frac{a f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b^{2}}+\frac{a f \,c^{2}}{d^{2} b^{2}}-\frac{a e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,b^{2}}+\frac{2 a e \ln \left({\mathrm e}^{d x +c}\right)}{d \,b^{2}}-\frac{a f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2}}-\frac{a f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b^{2}}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d a}-\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d a}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a}+\frac{f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a}"," ",0,"1/a/d*e*ln(exp(d*x+c)+1)+1/a/d*e*ln(exp(d*x+c)-1)-a*e*x/b^2+1/2*(d*f*x+d*e-f)/d^2/b*exp(d*x+c)-1/2*(d*f*x+d*e+f)/d^2/b*exp(-d*x-c)+1/2*a*f*x^2/b^2+1/d^2*f/a*dilog(exp(d*x+c)+1)-1/d^2*f*dilog(exp(d*x+c))/a-1/d^2*f/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d*e/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a/b^2*f*c*x+1/d^2*a/b^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d^2*a/b^2*f*c*ln(exp(d*x+c))-1/d*a/b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*a/b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*a/b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*a/b^2*f*c^2-1/d*a/b^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d*a/b^2*e*ln(exp(d*x+c))-1/d^2*a/b^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2*a/b^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/a/d*ln(exp(d*x+c)+1)*f*x-1/a/d^2*f*c*ln(exp(d*x+c)-1)-1/d*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*f*c/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)","B"
433,1,178,57,0.139000," ","int(cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{a \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,b^{2}}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-1/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/d/a*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d/a*ln(tanh(1/2*d*x+1/2*c))","B"
434,0,0,36,1.436000," ","int(cosh(d*x+c)^2*coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\cosh^{2}\left(d x +c \right)\right) \coth \left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^2*coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
435,0,0,981,1.089000," ","int((f*x+e)^3*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
436,0,0,692,0.785000," ","int((f*x+e)^2*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
437,1,1065,411,0.265000," ","int((f*x+e)*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{f \,b^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) a}-\frac{f \,b^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{f \,b^{2} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right) a}-\frac{f \,b^{2} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right) a}+\frac{f c \,b^{2} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(a^{2}+b^{2}\right) a}+\frac{4 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) b x}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f \ln \left(1+i {\mathrm e}^{d x +c}\right) a x}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f \ln \left(1+i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f \ln \left(1-i {\mathrm e}^{d x +c}\right) a x}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f \ln \left(1-i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) b x}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{4 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{8 f c b \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{e \,b^{2} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(a^{2}+b^{2}\right) a}-\frac{f \,b^{2} \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{f \,b^{2} \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right) a}+\frac{4 i f \dilog \left(1+i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 i f \dilog \left(1-i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{4 e a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{8 e b \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f c a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f \dilog \left(1+i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f \dilog \left(1-i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(4 a^{2}+4 b^{2}\right)}"," ",0,"1/a/d*e*ln(exp(d*x+c)+1)+1/a/d*e*ln(exp(d*x+c)-1)+1/d^2*f/a*dilog(exp(d*x+c)+1)-1/d^2*f*dilog(exp(d*x+c))/a-1/d*f*b^2/(a^2+b^2)/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b^2/(a^2+b^2)/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d*f*b^2/(a^2+b^2)/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b^2/(a^2+b^2)/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2*f*c*b^2/(a^2+b^2)/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+4*I/d*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*x+4*I/d^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*c-4*I/d*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*x-4*I/d^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*c+8/d^2*f*c/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))-1/d^2*f*b^2/(a^2+b^2)/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f*b^2/(a^2+b^2)/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d*e*b^2/(a^2+b^2)/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+4*I/d^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*b-4*I/d^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*b+1/a/d*ln(exp(d*x+c)+1)*f*x-1/a/d^2*f*c*ln(exp(d*x+c)-1)-4/d*e/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))-8/d*e/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))-4/d^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*a-4/d^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*a-4/d*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*x-4/d^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*c-4/d*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*x-4/d^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*c+4/d^2*f*c/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))","B"
438,1,123,90,0.004000," ","int(csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{b^{2} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(a^{2}+b^{2}\right) a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}-\frac{a \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{2}+b^{2}\right)}-\frac{2 b \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a^{2}+b^{2}\right)}"," ",0,"-1/d*b^2/(a^2+b^2)/a*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d/a*ln(tanh(1/2*d*x+1/2*c))-1/d/(a^2+b^2)*a*ln(tanh(1/2*d*x+1/2*c)^2+1)-2/d/(a^2+b^2)*b*arctan(tanh(1/2*d*x+1/2*c))","A"
439,0,0,34,0.204000," ","int(csch(d*x+c)*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
440,0,0,1089,6.467000," ","int((f*x+e)^3*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
441,0,0,746,3.994000," ","int((f*x+e)^2*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
442,1,1815,419,0.381000," ","int((f*x+e)*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{a \,b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{f \,b^{5} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}-\frac{a \,b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{a \,b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}-\frac{f \,b^{5} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}+\frac{f \,b^{5} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}-\frac{a \,b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}-\frac{f \,b^{5} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}+\frac{2 \left(f x +e \right) \left(a \,{\mathrm e}^{d x +c}+b \right)}{d \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)}-\frac{2 b f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}-\frac{a e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \left(a^{2}+b^{2}\right)}+\frac{a e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \left(a^{2}+b^{2}\right)}-\frac{a f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} \left(a^{2}+b^{2}\right)}-\frac{a f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right)}-\frac{f \,b^{5} \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}+\frac{a f b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{f \,b^{5} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}-\frac{a^{3} b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{b^{5} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}+\frac{b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} a}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{f b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a^{3}}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{2 f \,b^{3} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{b^{5} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}+\frac{a^{3} f b c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}-\frac{b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} a}-\frac{b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{8 a \,b^{2} f \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \left(a^{2}+b^{2}\right) a}+\frac{4 a^{2} b f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \left(a^{2}+b^{2}\right) a}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \left(a^{2}+b^{2}\right) a}-\frac{a f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} \left(a^{2}+b^{2}\right)}-\frac{8 a^{3} f \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f \,b^{3} \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{\ln \left({\mathrm e}^{d x +c}+1\right) a f x}{d \left(a^{2}+b^{2}\right)}+\frac{a \,b^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}-\frac{a \,b^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{f \,b^{3} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} a}+\frac{b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{f \,b^{5} \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}} a}"," ",0,"-1/(a^2+b^2)^(5/2)/d^2*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3-2/(a^2+b^2)^(5/2)/d^2*f*b^3*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+1/d^2/(a^2+b^2)^(5/2)*a*b^3*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2/(a^2+b^2)^(5/2)*a*b^3*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/(a^2+b^2)^(3/2)*f*b^3/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+b/d*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+1/d^2/(a^2+b^2)^(5/2)*a*b^3*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/(a^2+b^2)^(5/2)*b^5*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/(a^2+b^2)^(5/2)*a^3*f*b*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(3/2)*b^3*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(5/2)*f*b^5/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d/(a^2+b^2)^(5/2)*a*b^3*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d/(a^2+b^2)^(5/2)*a*b^3*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/(a^2+b^2)^(5/2)*a*b^3*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d/(a^2+b^2)^(5/2)*f*b^5/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+2*(f*x+e)*(a*exp(d*x+c)+b)/d/(a^2+b^2)/(1+exp(2*d*x+2*c))-2/(a^2+b^2)/d^2*b*f*ln(exp(d*x+c))-1/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c)+1)-1/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c))-1/d/(a^2+b^2)*a*e*ln(exp(d*x+c)+1)+1/d/(a^2+b^2)*a*e*ln(exp(d*x+c)-1)-b/d^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/(a^2+b^2)^(3/2)*a*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-8/d^2/(a^2+b^2)*a*b^2*f/(4*a^2+4*b^2)*arctan(exp(d*x+c))-1/d^2/(a^2+b^2)*b^2*f*c/a*ln(exp(d*x+c)-1)-1/d/(a^2+b^2)*b^2*f/a*ln(exp(d*x+c)+1)*x-1/d/(a^2+b^2)^(5/2)*a^3*b*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(5/2)*b^5*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(3/2)*b^3*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+4/d^2/(a^2+b^2)*a^2*b*f/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))-1/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)+1)+1/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)-1)-1/d^2/(a^2+b^2)*b^2*f/a*dilog(exp(d*x+c)+1)-1/d^2/(a^2+b^2)*b^2*f*dilog(exp(d*x+c))/a-1/d^2/(a^2+b^2)*a*f*c*ln(exp(d*x+c)-1)-8/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*arctan(exp(d*x+c))+4/d^2/(a^2+b^2)*f*b^3/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))-1/d/(a^2+b^2)*ln(exp(d*x+c)+1)*a*f*x","B"
443,1,136,108,0.003000," ","int(csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{2 b^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{2 a}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-2/d/a*b^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+1/d/a*ln(tanh(1/2*d*x+1/2*c))-2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*tanh(1/2*d*x+1/2*c)*b+2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*a","A"
444,0,0,36,2.119000," ","int(csch(d*x+c)*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
445,0,0,1122,2.928000," ","int((f*x+e)^2*csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
446,1,2580,693,0.391000," ","int((f*x+e)*csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{8 b^{2} f c a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{4 a^{2} f c b \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{-b d f x \,{\mathrm e}^{3 d x +3 c}+2 a d f x \,{\mathrm e}^{2 d x +2 c}-b d e \,{\mathrm e}^{3 d x +3 c}+2 a d e \,{\mathrm e}^{2 d x +2 c}+b d f x \,{\mathrm e}^{d x +c}-b f \,{\mathrm e}^{3 d x +3 c}+a f \,{\mathrm e}^{2 d x +2 c}+b d e \,{\mathrm e}^{d x +c}-f b \,{\mathrm e}^{d x +c}+a f}{d^{2} \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right)^{2}}+\frac{2 i a^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{2 i a^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) a x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{6 i b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{6 i b^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{6 i b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{6 i b^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) a x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{a e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \left(a^{2}+b^{2}\right)}+\frac{a e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \left(a^{2}+b^{2}\right)}+\frac{a f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} \left(a^{2}+b^{2}\right)}-\frac{a f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right)}+\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) a}-\frac{4 a^{3} e \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{b^{4} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{4} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{4} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{2} a}+\frac{b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{b^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{a^{2} b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 d \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}-\frac{4 a^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{4 a^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{12 b^{3} e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{2 i a^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) b x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{2 i a^{2} f \ln \left(1+i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{2 i a^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) b x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{2 i a^{2} f \ln \left(1-i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 d \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{b^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 d \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{12 b^{3} f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{4 a^{3} f c \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} e a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{4 a^{2} e b \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{4} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \left(a^{2}+b^{2}\right)^{2} a}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} \left(a^{2}+b^{2}\right) a}+\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \left(a^{2}+b^{2}\right) a}-\frac{a^{2} b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}-\frac{4 a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{4 a^{3} f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{4 a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{4 a^{3} f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} f \dilog \left(1+i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{8 b^{2} f \dilog \left(1-i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{6 i b^{3} f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}-\frac{6 i b^{3} f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(a^{2}+b^{2}\right) \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \left(a^{2}+b^{2}\right) a}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \left(a^{2}+b^{2}\right) a}-\frac{a f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} \left(a^{2}+b^{2}\right)}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) a f x}{d \left(a^{2}+b^{2}\right)}"," ",0,"8/d^2/(a^2+b^2)*b^2*f*c/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))+4/d^2/(a^2+b^2)*a^2*f*c/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))-8/d/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*x+(-b*d*f*x*exp(3*d*x+3*c)+2*a*d*f*x*exp(2*d*x+2*c)-b*d*e*exp(3*d*x+3*c)+2*a*d*e*exp(2*d*x+2*c)+b*d*f*x*exp(d*x+c)-b*f*exp(3*d*x+3*c)+a*f*exp(2*d*x+2*c)+b*d*e*exp(d*x+c)-f*b*exp(d*x+c)+a*f)/d^2/(a^2+b^2)/(1+exp(2*d*x+2*c))^2-8/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*c-8/d/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*x-8/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*c-1/2/d^2/(a^2+b^2)^(5/2)*a^2*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2*I/d^2/(a^2+b^2)*a^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*b+6*I/d/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x+6*I/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c-6*I/d/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x-6*I/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c-2*I/d^2/(a^2+b^2)*a^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*b+1/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c)+1)-1/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c))+1/d/(a^2+b^2)*a*e*ln(exp(d*x+c)+1)+1/d/(a^2+b^2)*a*e*ln(exp(d*x+c)-1)-4/d/(a^2+b^2)*a^3*e/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))-1/d^2/(a^2+b^2)^2*b^4*f/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2/(a^2+b^2)^2*b^4*f/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d/(a^2+b^2)^2*b^4*e/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-4/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))-4/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))-1/2/d/(a^2+b^2)^(3/2)*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/2/d/(a^2+b^2)^(5/2)*b^4*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-12/d/(a^2+b^2)*b^3*e/(4*a^2+4*b^2)*arctan(exp(d*x+c))+2*I/d/(a^2+b^2)*a^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*x+2*I/d^2/(a^2+b^2)*a^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*c-2*I/d/(a^2+b^2)*a^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*x-2*I/d^2/(a^2+b^2)*a^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*c+1/2/d^2/(a^2+b^2)^(3/2)*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/d^2/(a^2+b^2)^(5/2)*b^4*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+12/d^2/(a^2+b^2)*b^3*f*c/(4*a^2+4*b^2)*arctan(exp(d*x+c))-8/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*a-8/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*a+4/d^2/(a^2+b^2)*a^3*f*c/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))-8/d/(a^2+b^2)*b^2*e/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))+1/2/d/(a^2+b^2)^(5/2)*a^2*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-4/d/(a^2+b^2)*a^2*e/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))-4/d/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x-4/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c-4/d/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x-4/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+1/d^2/(a^2+b^2)^2*b^4*f*c/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/d/(a^2+b^2)^2*b^4*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/(a^2+b^2)^2*b^4*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d/(a^2+b^2)^2*b^4*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/(a^2+b^2)^2*b^4*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/(a^2+b^2)*b^2*f*c/a*ln(exp(d*x+c)-1)+1/d/(a^2+b^2)*b^2*f/a*ln(exp(d*x+c)+1)*x+6*I/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))-6*I/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))+1/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)+1)+1/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)-1)+1/d^2/(a^2+b^2)*b^2*f/a*dilog(exp(d*x+c)+1)-1/d^2/(a^2+b^2)*b^2*f*dilog(exp(d*x+c))/a-1/d^2/(a^2+b^2)*a*f*c*ln(exp(d*x+c)-1)+1/d/(a^2+b^2)*ln(exp(d*x+c)+1)*a*f*x","B"
447,1,530,156,0.003000," ","int(csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{b^{4} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d a \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{3} \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{2 \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a \,b^{2}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}"," ",0,"-1/d*b^4/a/(a^4+2*a^2*b^2+b^4)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^2*b+1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b^3-2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^3-2/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a*b^2-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^2*b-1/d/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b^3-1/d/(a^4+2*a^2*b^2+b^4)*a^3*ln(tanh(1/2*d*x+1/2*c)^2+1)-2/d/(a^4+2*a^2*b^2+b^4)*ln(tanh(1/2*d*x+1/2*c)^2+1)*a*b^2-1/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*a^2*b-3/d/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*d*x+1/2*c))*b^3","B"
448,0,0,36,4.364000," ","int(csch(d*x+c)*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
449,0,0,566,1.760000," ","int((f*x+e)^3*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \coth \left(d x +c \right) \mathrm{csch}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
450,0,0,396,1.234000," ","int((f*x+e)^2*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \coth \left(d x +c \right) \mathrm{csch}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
451,1,528,229,0.216000," ","int((f*x+e)*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{2 \left(f x +e \right) {\mathrm e}^{d x +c}}{d a \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{b f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}+\frac{b f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}+\frac{b f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}-\frac{f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{b f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}+\frac{b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}+\frac{b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{2}}+\frac{b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}+\frac{b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{b f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a^{2}}-\frac{b e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{2}}+\frac{b e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,a^{2}}-\frac{b e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{2}}"," ",0,"-2/d*(f*x+e)/a*exp(d*x+c)/(exp(2*d*x+2*c)-1)-1/d^2/a^2*b*f*dilog(exp(d*x+c)+1)+1/d^2/a^2*b*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/a^2*b*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/a^2*b*f*dilog(exp(d*x+c))-1/d^2/a*f*ln(exp(d*x+c)+1)+1/d^2/a*f*ln(exp(d*x+c)-1)+1/d^2/a^2*b*f*c*ln(exp(d*x+c)-1)+1/d/a^2*b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/a^2*b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d/a^2*b*f*ln(exp(d*x+c)+1)*x+1/d/a^2*b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/a^2*b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d^2/a^2*b*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/d/a^2*b*e*ln(exp(d*x+c)+1)+1/d/a^2*b*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/d/a^2*b*e*ln(exp(d*x+c)-1)","B"
452,1,35,50,0.003000," ","int(coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{\mathrm{csch}\left(d x +c \right)}{a d}+\frac{b \ln \left(a \,\mathrm{csch}\left(d x +c \right)+b \right)}{d \,a^{2}}"," ",0,"-csch(d*x+c)/a/d+1/d*b/a^2*ln(a*csch(d*x+c)+b)","A"
453,0,0,34,1.251000," ","int(coth(d*x+c)*csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\coth \left(d x +c \right) \mathrm{csch}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(coth(d*x+c)*csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
454,0,0,672,2.053000," ","int((f*x+e)^3*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\coth^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
455,0,0,482,1.352000," ","int((f*x+e)^2*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\coth^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
456,1,1017,271,0.236000," ","int((f*x+e)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2} \sqrt{a^{2}+b^{2}}}+\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}+\frac{b f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}+\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{2}}+\frac{2 b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{2 \left(f x +e \right)}{d a \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{2 e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}}+\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}}-\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \sqrt{a^{2}+b^{2}}}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \sqrt{a^{2}+b^{2}}}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \sqrt{a^{2}+b^{2}}}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} \sqrt{a^{2}+b^{2}}}+\frac{b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{2 b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \sqrt{a^{2}+b^{2}}}+\frac{f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{2 f \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{b e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{2}}-\frac{b e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}"," ",0,"2/d^2/a^2*b^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-2/d/a^2*b^2*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/a^2*b*f*c*ln(exp(d*x+c)-1)+1/d/a^2*b*f*ln(exp(d*x+c)+1)*x+1/d^2/a^2*b^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d*(f*x+e)/a/(exp(2*d*x+2*c)-1)-2/d*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+2/d^2*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/a*f*ln(exp(d*x+c)+1)-2/d^2/a*f*ln(exp(d*x+c))+1/d^2/a*f*ln(exp(d*x+c)-1)+1/d/a^2*b*e*ln(exp(d*x+c)+1)-1/d/a^2*b*e*ln(exp(d*x+c)-1)+1/d^2/a^2*b*f*dilog(exp(d*x+c)+1)+1/d^2/a^2*b*f*dilog(exp(d*x+c))","B"
457,1,147,72,0.004000," ","int(coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}}+\frac{2 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{2} \sqrt{a^{2}+b^{2}}}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)+2/d/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))+2/d/a^2*b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-1/2/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))","B"
458,0,0,30,1.261000," ","int(coth(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\coth^{2}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(coth(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
459,0,0,679,2.750000," ","int((f*x+e)^3*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \cosh \left(d x +c \right) \left(\coth^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
460,0,0,491,1.780000," ","int((f*x+e)^2*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \cosh \left(d x +c \right) \left(\coth^{2}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
461,1,938,306,0.316000," ","int((f*x+e)*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{f \,x^{2}}{2 b}+\frac{b f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{2}}+\frac{e x}{b}+\frac{b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}-\frac{b f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a^{2}}+\frac{b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}+\frac{b f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2}}+\frac{b f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2}}-\frac{f \,c^{2}}{d^{2} b}+\frac{e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d b}-\frac{2 e \ln \left({\mathrm e}^{d x +c}\right)}{d b}+\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b}+\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} b}-\frac{2 \left(f x +e \right) {\mathrm e}^{d x +c}}{d a \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{2 f c x}{d b}-\frac{f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} b}+\frac{2 f c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d b}+\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b}+\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d b}+\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} b}-\frac{f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{b e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,a^{2}}+\frac{b f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}+\frac{b f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2}}-\frac{b e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{2}}-\frac{b e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{2}}-\frac{b f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}"," ",0,"-1/2*f*x^2/b+1/d^2/a^2*b*f*c*ln(exp(d*x+c)-1)-1/d/a^2*b*f*ln(exp(d*x+c)+1)*x+e*x/b+1/d^2/a^2*b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d^2/a^2*b*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d/a^2*b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/a^2*b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d/a^2*b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/b*f*c^2+1/d/b*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-2/d/b*e*ln(exp(d*x+c))+1/d^2/b*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/b*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-2/d*(f*x+e)/a*exp(d*x+c)/(exp(2*d*x+2*c)-1)-2/d/b*f*c*x-1/d^2/b*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+2/d^2/b*f*c*ln(exp(d*x+c))+1/d/b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d^2/b*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d/b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2/b*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/a*f*ln(exp(d*x+c)+1)+1/d^2/a*f*ln(exp(d*x+c)-1)+1/d^2/a^2*b*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/a^2*b*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d/a^2*b*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/d/a^2*b*e*ln(exp(d*x+c)+1)-1/d/a^2*b*e*ln(exp(d*x+c)-1)-1/d^2/a^2*b*f*dilog(exp(d*x+c)+1)+1/d^2/a^2*b*f*dilog(exp(d*x+c))","B"
462,1,172,59,0.003000," ","int(cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d b}+\frac{b \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,a^{2}}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"1/2/d/a*tanh(1/2*d*x+1/2*c)-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/b*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)+1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/2/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))","B"
463,0,0,36,1.255000," ","int(cosh(d*x+c)*coth(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\cosh \left(d x +c \right) \left(\coth^{2}\left(d x +c \right)\right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)*coth(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
464,0,0,1336,4.931000," ","int((f*x+e)^3*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right)^{2} \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
465,0,0,924,2.845000," ","int((f*x+e)^2*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)^{2} \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
466,1,1529,556,0.392000," ","int((f*x+e)*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{b f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{2}}+\frac{e b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}-\frac{8 a e \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 b e \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 b f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 b f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{2 \left(f x +e \right) {\mathrm e}^{d x +c}}{d a \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}+\frac{f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a}+\frac{4 b f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 b f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 b f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 b f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2} \left(a^{2}+b^{2}\right)}+\frac{b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{2} \left(a^{2}+b^{2}\right)}-\frac{b^{3} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a^{2} \left(a^{2}+b^{2}\right)}+\frac{b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2} \left(a^{2}+b^{2}\right)}+\frac{b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{2} \left(a^{2}+b^{2}\right)}+\frac{b^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \left(a^{2}+b^{2}\right)}+\frac{b^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \left(a^{2}+b^{2}\right)}+\frac{b f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{4 i a f \dilog \left(1-i {\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i a f \dilog \left(1+i {\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{a f b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}} a}-\frac{b e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{2}}-\frac{b e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{2}}-\frac{b f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}-\frac{4 b f c \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{8 a f c \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{3} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,a^{2} \left(a^{2}+b^{2}\right)}-\frac{f c b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{4 i a f \ln \left(1-i {\mathrm e}^{d x +c}\right) x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i a f \ln \left(1+i {\mathrm e}^{d x +c}\right) x}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{4 i a f \ln \left(1-i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i a f \ln \left(1+i {\mathrm e}^{d x +c}\right) c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} a}+\frac{b f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{f \,b^{3} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}} a}-\frac{b e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right) a}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}"," ",0,"1/d^2/a^2*b*f*c*ln(exp(d*x+c)-1)-1/d/a^2*b*f*ln(exp(d*x+c)+1)*x+1/d*e*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2*f*c*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-8/d*a*e/(4*a^2+4*b^2)*arctan(exp(d*x+c))+4/d^2*b*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))+4/d^2*b*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))+4/d*b*e/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))-2/d*(f*x+e)/a*exp(d*x+c)/(exp(2*d*x+2*c)-1)-1/d^2/(a^2+b^2)^(3/2)*f*b^3/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-b/d*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+1/d^2/(a^2+b^2)^(3/2)*b^3*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/a*f*ln(exp(d*x+c)+1)+1/d^2/a*f*ln(exp(d*x+c)-1)+1/d/a^2*b^3*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d/a^2*b^3*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/a^2*b^3*f*c/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d^2/a^2*b^3*f/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/a^2*b^3*f/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-4*I/d*a*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x-1/d/a^2*b*e*ln(exp(d*x+c)+1)-1/d/a^2*b*e*ln(exp(d*x+c)-1)-1/d^2/a^2*b*f*dilog(exp(d*x+c)+1)+1/d^2/a^2*b*f*dilog(exp(d*x+c))+4/d*b*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x+4/d*b*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x-4/d^2*b*f*c/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+4/d^2*b*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+4/d^2*b*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c+1/d^2/a^2*b^3*f/(a^2+b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/a^2*b^3*f/(a^2+b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+8/d^2*a*f*c/(4*a^2+4*b^2)*arctan(exp(d*x+c))+1/d^2/a*b*f/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/a^2*b^3*e/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-4*I/d^2*a*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))+4*I/d^2*a*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))+b/d^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+4*I/d*a*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x-4*I/d^2*a*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+4*I/d^2*a*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c-1/d^2/(a^2+b^2)^(3/2)*a*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/(a^2+b^2)^(3/2)*b^3*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))","B"
467,1,159,104,0.004000," ","int(csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{b^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,a^{2} \left(a^{2}+b^{2}\right)}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}+\frac{b \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{2}+b^{2}\right)}-\frac{2 a \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a^{2}+b^{2}\right)}"," ",0,"1/2/d/a*tanh(1/2*d*x+1/2*c)+1/d*b^3/a^2/(a^2+b^2)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/2/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))+1/d/(a^2+b^2)*b*ln(tanh(1/2*d*x+1/2*c)^2+1)-2/d/(a^2+b^2)*a*arctan(tanh(1/2*d*x+1/2*c))","A"
468,0,0,36,2.058000," ","int(csch(d*x+c)^2*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{2} \mathrm{sech}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^2*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
469,0,0,863,3.945000," ","int((f*x+e)^2*csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)^{2} \mathrm{sech}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
470,1,1771,476,0.365000," ","int((f*x+e)*csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{b^{4} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d^{2} a^{2}}+\frac{4 a^{3} f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}-1\right)}{\left(a^{2}+b^{2}\right) d^{2} a}-\frac{2 b^{2} f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} a}+\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right)}{\left(a^{2}+b^{2}\right) d^{2} a}+\frac{b^{3} e \ln \left({\mathrm e}^{d x +c}+1\right)}{\left(a^{2}+b^{2}\right) d \,a^{2}}-\frac{b^{3} e \ln \left({\mathrm e}^{d x +c}-1\right)}{\left(a^{2}+b^{2}\right) d \,a^{2}}+\frac{8 b^{3} f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b f c \ln \left({\mathrm e}^{d x +c}-1\right)}{\left(a^{2}+b^{2}\right) d^{2}}+\frac{b^{3} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{\left(a^{2}+b^{2}\right) d^{2} a^{2}}+\frac{8 a^{2} b f \arctan \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{a^{2} b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) b f x}{\left(a^{2}+b^{2}\right) d}+\frac{b^{3} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{\left(a^{2}+b^{2}\right) d^{2} a^{2}}+\frac{b^{3} f \dilog \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2} a^{2}}-\frac{b^{4} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}} d \,a^{2}}-\frac{b^{6} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d \,a^{2}}+\frac{b^{6} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2} a^{2}}-\frac{b^{6} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2} a^{2}}-\frac{4 a f \ln \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}-\frac{2 \left(f x +e \right) \left(a b \,{\mathrm e}^{3 d x +3 c}+b^{2} {\mathrm e}^{2 d x +2 c}-a b \,{\mathrm e}^{d x +c}+2 a^{2}+b^{2}\right)}{d \left(a^{2}+b^{2}\right) \left(1+{\mathrm e}^{2 d x +2 c}\right) a \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{b^{2} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{a^{2} b^{2} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{4 a \,b^{2} f \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(a^{2}+b^{2}\right) d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}-\frac{b^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d}-\frac{b^{4} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{b^{6} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2} a^{2}}+\frac{b^{4} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{b^{3} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{\left(a^{2}+b^{2}\right) d \,a^{2}}+\frac{b^{6} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2} a^{2}}-\frac{b^{6} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2} a^{2}}+\frac{b^{6} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d \,a^{2}}-\frac{b^{6} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d \,a^{2}}+\frac{b e \ln \left({\mathrm e}^{d x +c}+1\right)}{\left(a^{2}+b^{2}\right) d}-\frac{b e \ln \left({\mathrm e}^{d x +c}-1\right)}{\left(a^{2}+b^{2}\right) d}+\frac{a f \ln \left({\mathrm e}^{d x +c}+1\right)}{\left(a^{2}+b^{2}\right) d^{2}}+\frac{a f \ln \left({\mathrm e}^{d x +c}-1\right)}{\left(a^{2}+b^{2}\right) d^{2}}+\frac{b^{4} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}-\frac{b^{4} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{5}{2}} d^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}+1\right)}{\left(a^{2}+b^{2}\right) d^{2}}+\frac{b f \dilog \left({\mathrm e}^{d x +c}\right)}{\left(a^{2}+b^{2}\right) d^{2}}"," ",0,"1/(a^2+b^2)/d^2/a^2*b^3*f*dilog(exp(d*x+c)+1)+1/(a^2+b^2)/d^2/a^2*b^3*f*dilog(exp(d*x+c))+4/(a^2+b^2)/d^2*a^3*f/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+1/(a^2+b^2)/d^2/a*b^2*f*ln(exp(d*x+c)-1)-2/(a^2+b^2)/d^2/a*b^2*f*ln(exp(d*x+c))+1/(a^2+b^2)/d^2/a*b^2*f*ln(exp(d*x+c)+1)+1/(a^2+b^2)/d/a^2*b^3*e*ln(exp(d*x+c)+1)-1/(a^2+b^2)/d/a^2*b^3*e*ln(exp(d*x+c)-1)+8/(a^2+b^2)/d^2*b^3*f/(4*a^2+4*b^2)*arctan(exp(d*x+c))+1/(a^2+b^2)^(5/2)/d^2*b^4*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/(a^2+b^2)^(5/2)/d^2*b^4*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/(a^2+b^2)/d^2*b*f*c*ln(exp(d*x+c)-1)+1/(a^2+b^2)/d^2/a^2*b^3*f*c*ln(exp(d*x+c)-1)+8/(a^2+b^2)/d^2*a^2*b*f/(4*a^2+4*b^2)*arctan(exp(d*x+c))-1/d^2/(a^2+b^2)^(5/2)*a^2*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/(a^2+b^2)^(3/2)*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)/d*ln(exp(d*x+c)+1)*b*f*x-4/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c))-2*(f*x+e)*(a*b*exp(3*d*x+3*c)+b^2*exp(2*d*x+2*c)-a*b*exp(d*x+c)+2*a^2+b^2)/d/(a^2+b^2)/(1+exp(2*d*x+2*c))/a/(exp(2*d*x+2*c)-1)+1/d^2/(a^2+b^2)^(3/2)*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(5/2)*a^2*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/(a^2+b^2)^(3/2)/d/a^2*b^4*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/(a^2+b^2)^(5/2)/d/a^2*b^6*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+4/(a^2+b^2)/d^2*a*b^2*f/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+1/(a^2+b^2)^(5/2)/d*b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^(5/2)/d*b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^(5/2)/d^2*b^4*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^(5/2)/d^2*b^4*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^(5/2)/d^2/a^2*b^6*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/(a^2+b^2)^(5/2)/d^2/a^2*b^6*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/(a^2+b^2)/d/a^2*b^3*f*ln(exp(d*x+c)+1)*x+1/(a^2+b^2)^(5/2)/d^2/a^2*b^6*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/(a^2+b^2)^(5/2)/d^2/a^2*b^6*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^(5/2)/d/a^2*b^6*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^(5/2)/d/a^2*b^6*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/(a^2+b^2)^(5/2)/d^2/a^2*b^6*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)^(3/2)/d^2/a^2*b^4*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)/d^2*b*f*dilog(exp(d*x+c)+1)+1/(a^2+b^2)/d^2*b*f*dilog(exp(d*x+c))+1/(a^2+b^2)/d*b*e*ln(exp(d*x+c)+1)-1/(a^2+b^2)/d*b*e*ln(exp(d*x+c)-1)+1/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c)+1)+1/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c)-1)","B"
471,1,174,139,0.003000," ","int(csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{2 b^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}-\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{2 b}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)+2/d/a^2*b^4/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-1/2/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))-2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*a*tanh(1/2*d*x+1/2*c)-2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*b","A"
472,0,0,38,2.195000," ","int(csch(d*x+c)^2*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{2} \mathrm{sech}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^2*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
473,1,3280,904,0.413000," ","int((f*x+e)*csch(d*x+c)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\text{output too large to display}"," ",0,"1/d/a^2/(a^2+b^2)^2*b^5*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d^2/a^2/(a^2+b^2)^2*b^5*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/a^2/(a^2+b^2)^2*b^5*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-12/d*a^3/(a^2+b^2)*e/(4*a^2+4*b^2)*arctan(exp(d*x+c))-1/(a^2+b^2)^(5/2)/d^2*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3-2/(a^2+b^2)^(5/2)/d^2*f*b^3*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a-1/(a^2+b^2)/d^2/a^2*b^3*f*dilog(exp(d*x+c)+1)+1/(a^2+b^2)/d^2/a^2*b^3*f*dilog(exp(d*x+c))+1/(a^2+b^2)/d^2/a*b^2*f*ln(exp(d*x+c)-1)-1/(a^2+b^2)/d^2/a*b^2*f*ln(exp(d*x+c)+1)-1/(a^2+b^2)/d/a^2*b^3*e*ln(exp(d*x+c)+1)-1/(a^2+b^2)/d/a^2*b^3*e*ln(exp(d*x+c)-1)+1/(a^2+b^2)/d^2*b*f*c*ln(exp(d*x+c)-1)+6*I/d^2*a^3/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c-6*I/d^2*a^3/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+20/d^2*a/(a^2+b^2)*b^2*f*c/(4*a^2+4*b^2)*arctan(exp(d*x+c))+7/2/d^2*a/(a^2+b^2)^(5/2)*b^3*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+4/d*a^2/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*x+4/d*a^2/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*x-4/d^2*a^2/(a^2+b^2)*f*c/(4*a^2+4*b^2)*b*ln(1+exp(2*d*x+2*c))+4/d^2*a^2/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*c+4/d^2*a^2/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*c-10*I/d^2*a/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))+10*I/d^2*a/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))+6*I/d*a^3/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x-6*I/d*a^3/(a^2+b^2)*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x+1/d^2/(a^2+b^2)^(3/2)*f*b^3/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3/2*b/d*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+2/d^2/(a^2+b^2)^(5/2)*b^5*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3/2/d^2/(a^2+b^2)^(5/2)*a^3*f*b*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)^(3/2)*b^3*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/(a^2+b^2)/d^2/a^2*b^3*f*c*ln(exp(d*x+c)-1)-8/d^2/(a^2+b^2)*b^3*f*c/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+1/d/a^2/(a^2+b^2)^2*b^5*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d/a^2/(a^2+b^2)^2*b^5*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+4/d*a^2/(a^2+b^2)*e/(4*a^2+4*b^2)*b*ln(1+exp(2*d*x+2*c))+8/d/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x+8/d/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x+8/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+8/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c-1/(a^2+b^2)/d*ln(exp(d*x+c)+1)*b*f*x+8/d/(a^2+b^2)*b^3*e/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+8/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))+8/d^2/(a^2+b^2)*b^3*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))+10*I/d^2*a/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c-10*I/d^2*a/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+10*I/d*a/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x-10*I/d*a/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x-3/2*b/d^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a+1/d^2/(a^2+b^2)^(3/2)*a*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-3/2/d/(a^2+b^2)^(5/2)*a^3*b*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d/(a^2+b^2)^(5/2)*b^5*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+2/d/(a^2+b^2)^(3/2)*b^3*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+4/d^2*a^2/(a^2+b^2)*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*b+4/d^2*a^2/(a^2+b^2)*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*b+12/d^2*a^3/(a^2+b^2)*f*c/(4*a^2+4*b^2)*arctan(exp(d*x+c))+1/d^2/a^2/(a^2+b^2)^2*b^5*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/a^2/(a^2+b^2)^2*b^5*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/a^2/(a^2+b^2)^2*b^5*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-7/2/d*a/(a^2+b^2)^(5/2)*b^3*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-20/d*a/(a^2+b^2)*b^2*e/(4*a^2+4*b^2)*arctan(exp(d*x+c))+6*I/d^2*a^3/(a^2+b^2)*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))-6*I/d^2*a^3/(a^2+b^2)*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))-(3*a^2*d*f*x*exp(5*d*x+5*c)+2*b^2*d*f*x*exp(5*d*x+5*c)+3*a^2*d*e*exp(5*d*x+5*c)+2*a*b*d*f*x*exp(4*d*x+4*c)+2*b^2*d*e*exp(5*d*x+5*c)+2*a^2*d*f*x*exp(3*d*x+3*c)+a^2*f*exp(5*d*x+5*c)+2*a*b*d*e*exp(4*d*x+4*c)+4*b^2*d*f*x*exp(3*d*x+3*c)+2*a^2*d*e*exp(3*d*x+3*c)-2*a*b*d*f*x*exp(2*d*x+2*c)+a*b*f*exp(4*d*x+4*c)+4*b^2*d*e*exp(3*d*x+3*c)+3*a^2*d*f*x*exp(d*x+c)-2*a*b*d*e*exp(2*d*x+2*c)+2*b^2*d*f*x*exp(d*x+c)+3*a^2*d*e*exp(d*x+c)+2*b^2*d*e*exp(d*x+c)-a^2*f*exp(d*x+c)-a*b*f)/d^2/a/(exp(2*d*x+2*c)-1)/(a^2+b^2)/(1+exp(2*d*x+2*c))^2-1/(a^2+b^2)/d/a^2*b^3*f*ln(exp(d*x+c)+1)*x-1/(a^2+b^2)/d^2*b*f*dilog(exp(d*x+c)+1)+1/(a^2+b^2)/d^2*b*f*dilog(exp(d*x+c))-1/(a^2+b^2)/d*b*e*ln(exp(d*x+c)+1)-1/(a^2+b^2)/d*b*e*ln(exp(d*x+c)-1)-1/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c)+1)+1/(a^2+b^2)/d^2*a*f*ln(exp(d*x+c)-1)","B"
474,1,478,176,0.003000," ","int(csch(d*x+c)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{b^{5} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(a^{2}+b^{2}\right)^{2} a^{2}}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{3}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a \,b^{2}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{2} b}{d \left(a^{2}+b^{2}\right)^{2}}+\frac{2 \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{3}}{d \left(a^{2}+b^{2}\right)^{2}}-\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{2}+b^{2}\right)^{2}}-\frac{5 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{2}+b^{2}\right)^{2}}"," ",0,"1/2/d/a*tanh(1/2*d*x+1/2*c)+1/d*b^5/(a^2+b^2)^2/a^2*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/2/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))+1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^3+1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a*b^2+2/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^2*b+2/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*b^3-1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^3-1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a*b^2+1/d/(a^2+b^2)^2*ln(tanh(1/2*d*x+1/2*c)^2+1)*a^2*b+2/d/(a^2+b^2)^2*ln(tanh(1/2*d*x+1/2*c)^2+1)*b^3-3/d/(a^2+b^2)^2*arctan(tanh(1/2*d*x+1/2*c))*a^3-5/d/(a^2+b^2)^2*arctan(tanh(1/2*d*x+1/2*c))*a*b^2","B"
475,0,0,38,4.649000," ","int(csch(d*x+c)^2*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{2} \mathrm{sech}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^2*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
476,0,0,709,2.167000," ","int((f*x+e)^3*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \coth \left(d x +c \right) \mathrm{csch}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
477,0,0,477,1.247000," ","int((f*x+e)^2*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \coth \left(d x +c \right) \mathrm{csch}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
478,1,649,280,0.246000," ","int((f*x+e)*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{-2 b d f x \,{\mathrm e}^{3 d x +3 c}+2 a d f x \,{\mathrm e}^{2 d x +2 c}-2 b d e \,{\mathrm e}^{3 d x +3 c}+2 a d e \,{\mathrm e}^{2 d x +2 c}+2 b d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{2 d x +2 c}+2 b d e \,{\mathrm e}^{d x +c}-a f}{d^{2} a^{2} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2}}+\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{3}}+\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{3}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3}}+\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{3}}-\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3}}-\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3}}+\frac{b^{2} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a^{3}}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{3}}-\frac{b^{2} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,a^{3}}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{3}}"," ",0,"-(-2*b*d*f*x*exp(3*d*x+3*c)+2*a*d*f*x*exp(2*d*x+2*c)-2*b*d*e*exp(3*d*x+3*c)+2*a*d*e*exp(2*d*x+2*c)+2*b*d*f*x*exp(d*x+c)+a*f*exp(2*d*x+2*c)+2*b*d*e*exp(d*x+c)-a*f)/d^2/a^2/(exp(2*d*x+2*c)-1)^2+1/d^2/a^3*b^2*f*dilog(exp(d*x+c)+1)-1/d^2/a^3*b^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2/a^3*b^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2/a^3*b^2*f*dilog(exp(d*x+c))+1/d^2/a^2*b*f*ln(exp(d*x+c)+1)-1/d^2/a^2*b*f*ln(exp(d*x+c)-1)-1/d^2/a^3*b^2*f*c*ln(exp(d*x+c)-1)-1/d/a^3*b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/a^3*b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d/a^3*b^2*f*ln(exp(d*x+c)+1)*x-1/d/a^3*b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/a^3*b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/a^3*b^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d/a^3*b^2*e*ln(exp(d*x+c)+1)-1/d/a^3*b^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d/a^3*b^2*e*ln(exp(d*x+c)-1)","B"
479,1,73,70,0.006000," ","int(coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x)","-\frac{b^{2} \ln \left(a +b \sinh \left(d x +c \right)\right)}{a^{3} d}-\frac{1}{2 d a \sinh \left(d x +c \right)^{2}}+\frac{b^{2} \ln \left(\sinh \left(d x +c \right)\right)}{a^{3} d}+\frac{b}{d \,a^{2} \sinh \left(d x +c \right)}"," ",0,"-b^2*ln(a+b*sinh(d*x+c))/a^3/d-1/2/d/a/sinh(d*x+c)^2+b^2*ln(sinh(d*x+c))/a^3/d+1/d/a^2*b/sinh(d*x+c)","A"
480,0,0,36,2.456000," ","int(coth(d*x+c)*csch(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\coth \left(d x +c \right) \mathrm{csch}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(coth(d*x+c)*csch(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
481,0,0,971,2.500000," ","int((f*x+e)^3*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\coth^{2}\left(d x +c \right)\right) \mathrm{csch}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
482,0,0,672,1.548000," ","int((f*x+e)^2*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\coth^{2}\left(d x +c \right)\right) \mathrm{csch}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
483,1,1284,379,0.342000," ","int((f*x+e)*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{2 a d}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a d}-\frac{a d f x \,{\mathrm e}^{3 d x +3 c}+a d e \,{\mathrm e}^{3 d x +3 c}-2 b d f x \,{\mathrm e}^{2 d x +2 c}+a d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{3 d x +3 c}-2 b d e \,{\mathrm e}^{2 d x +2 c}+a d e \,{\mathrm e}^{d x +c}+2 b d f x -a f \,{\mathrm e}^{d x +c}+2 b d e}{d^{2} a^{2} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2}}-\frac{f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}-\frac{f b \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d a \sqrt{a^{2}+b^{2}}}+\frac{f b \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{3}}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{3}}-\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{2 d^{2} a}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{2 d^{2} a}+\frac{b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{2 b^{3} e \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{3} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{b^{3} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}+\frac{2 e b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}-\frac{f b \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}+\frac{f b \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}-\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{2 a d}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{2 a \,d^{2}}-\frac{2 b^{3} f c \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \sqrt{a^{2}+b^{2}}}-\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{3}}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{3}}+\frac{2 b f \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{3}}-\frac{2 f c b \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a \sqrt{a^{2}+b^{2}}}"," ",0,"-1/2/a/d*e*ln(exp(d*x+c)+1)+1/2/a/d*e*ln(exp(d*x+c)-1)-(a*d*f*x*exp(3*d*x+3*c)+a*d*e*exp(3*d*x+3*c)-2*b*d*f*x*exp(2*d*x+2*c)+a*d*f*x*exp(d*x+c)+a*f*exp(3*d*x+3*c)-2*b*d*e*exp(2*d*x+2*c)+a*d*e*exp(d*x+c)+2*b*d*f*x-a*f*exp(d*x+c)+2*b*d*e)/d^2/a^2/(exp(2*d*x+2*c)-1)^2+2/d*e*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2*f*b/a/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2*f*b/a/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d*f*b/a/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f*b/a/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d*f*b/a/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x+1/d^2*f*b/a/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/d^2*f*c*b/a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/a^3*b^2*f*ln(exp(d*x+c)+1)*x+2/d/a^3*b^3*e/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/a^3*b^2*f*c*ln(exp(d*x+c)-1)-1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/2/d^2*f/a*dilog(exp(d*x+c)+1)-1/2/d^2*f*dilog(exp(d*x+c))/a+1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-2/d^2/a^3*b^3*f*c/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/a^3*b^3*f/(a^2+b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/2/a/d*ln(exp(d*x+c)+1)*f*x-1/2/a/d^2*f*c*ln(exp(d*x+c)-1)-1/d/a^3*b^2*e*ln(exp(d*x+c)+1)+1/d/a^3*b^2*e*ln(exp(d*x+c)-1)-1/d^2/a^3*b^2*f*dilog(exp(d*x+c)+1)-1/d^2/a^3*b^2*f*dilog(exp(d*x+c))+2/d^2/a^2*b*f*ln(exp(d*x+c))-1/d^2/a^2*b*f*ln(exp(d*x+c)+1)-1/d^2/a^2*b*f*ln(exp(d*x+c)-1)","B"
484,1,162,102,0.005000," ","int(coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{2 b \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3}}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"1/8/d/a*tanh(1/2*d*x+1/2*c)^2+1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-2/d*b*(a^2+b^2)^(1/2)/a^3*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2+1/2/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)","A"
485,0,0,36,2.367000," ","int(coth(d*x+c)^2*csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(\coth^{2}\left(d x +c \right)\right) \mathrm{csch}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(coth(d*x+c)^2*csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
486,0,0,915,2.511000," ","int((f*x+e)^3*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \left(\coth^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
487,0,0,654,1.503000," ","int((f*x+e)^2*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \left(\coth^{3}\left(d x +c \right)\right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x)","F"
488,1,1098,407,0.263000," ","int((f*x+e)*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}+\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{3}}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{3}}-\frac{e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d a}+\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}-\frac{f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a}-\frac{f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a}-\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3}}-\frac{b^{2} f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3}}-\frac{-2 b d f x \,{\mathrm e}^{3 d x +3 c}+2 a d f x \,{\mathrm e}^{2 d x +2 c}-2 b d e \,{\mathrm e}^{3 d x +3 c}+2 a d e \,{\mathrm e}^{2 d x +2 c}+2 b d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{2 d x +2 c}+2 b d e \,{\mathrm e}^{d x +c}-a f}{d^{2} a^{2} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2}}-\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3}}-\frac{b^{2} f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3}}+\frac{b^{2} f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a^{3}}+\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}-\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}-\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d a}-\frac{f \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d a}-\frac{f \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a}+\frac{f c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{3}}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{3}}+\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}-\frac{b^{2} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,a^{3}}+\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{3}}"," ",0,"1/a/d*e*ln(exp(d*x+c)+1)+1/a/d*e*ln(exp(d*x+c)-1)+1/d/a^3*b^2*f*ln(exp(d*x+c)+1)*x-1/d^2/a^3*b^2*f*c*ln(exp(d*x+c)-1)+1/d^2*f/a*dilog(exp(d*x+c)+1)-1/d^2*f*dilog(exp(d*x+c))/a-1/d^2*f/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2*f/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d*e/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/d/a^3*b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/a^3*b^2*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-(-2*b*d*f*x*exp(3*d*x+3*c)+2*a*d*f*x*exp(2*d*x+2*c)-2*b*d*e*exp(3*d*x+3*c)+2*a*d*e*exp(2*d*x+2*c)+2*b*d*f*x*exp(d*x+c)+a*f*exp(2*d*x+2*c)+2*b*d*e*exp(d*x+c)-a*f)/d^2/a^2/(exp(2*d*x+2*c)-1)^2-1/d/a^3*b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2/a^3*b^2*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/a^3*b^2*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/a/d*ln(exp(d*x+c)+1)*f*x-1/a/d^2*f*c*ln(exp(d*x+c)-1)-1/d*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/d^2*f/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c-1/d*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2*f/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c+1/d^2*f*c/a*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d/a^3*b^2*e*ln(exp(d*x+c)+1)+1/d/a^3*b^2*e*ln(exp(d*x+c)-1)+1/d^2/a^3*b^2*f*dilog(exp(d*x+c)+1)-1/d^2/a^3*b^2*f*dilog(exp(d*x+c))+1/d^2/a^2*b*f*ln(exp(d*x+c)+1)-1/d^2/a^2*b*f*ln(exp(d*x+c)-1)-1/d^2/a^3*b^2*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2/a^3*b^2*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d/a^3*b^2*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)","B"
489,1,194,78,0.002000," ","int(coth(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d a}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right) b^{2}}{d \,a^{3}}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/8/d/a*tanh(1/2*d*x+1/2*c)^2-1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-1/d/a*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)*b^2-1/8/d/a/tanh(1/2*d*x+1/2*c)^2+1/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)","B"
490,0,0,30,1.175000," ","int(coth(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\coth^{3}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(coth(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
491,0,0,1674,5.412000," ","int((f*x+e)^3*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{3} \mathrm{csch}\left(d x +c \right)^{3} \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^3*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
492,0,0,1148,2.888000," ","int((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)^{3} \mathrm{sech}\left(d x +c \right)}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","F"
493,1,1478,714,0.346000," ","int((f*x+e)*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{e \ln \left({\mathrm e}^{d x +c}+1\right)}{a d}-\frac{e \ln \left({\mathrm e}^{d x +c}-1\right)}{a d}+\frac{b^{2} f \ln \left({\mathrm e}^{d x +c}+1\right) x}{d \,a^{3}}-\frac{b^{2} f c \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{3}}-\frac{f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a}+\frac{f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a}-\frac{-2 b d f x \,{\mathrm e}^{3 d x +3 c}+2 a d f x \,{\mathrm e}^{2 d x +2 c}-2 b d e \,{\mathrm e}^{3 d x +3 c}+2 a d e \,{\mathrm e}^{2 d x +2 c}+2 b d f x \,{\mathrm e}^{d x +c}+a f \,{\mathrm e}^{2 d x +2 c}+2 b d e \,{\mathrm e}^{d x +c}-a f}{d^{2} a^{2} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2}}-\frac{4 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) b x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f \ln \left(1+i {\mathrm e}^{d x +c}\right) a x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f \ln \left(1+i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f \ln \left(1-i {\mathrm e}^{d x +c}\right) a x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f \ln \left(1-i {\mathrm e}^{d x +c}\right) a c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 i f \ln \left(1+i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) b x}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i f \ln \left(1-i {\mathrm e}^{d x +c}\right) b c}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{2} f \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{f \,b^{4} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \left(a^{2}+b^{2}\right)}-\frac{f \,b^{4} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) c}{d^{2} a^{3} \left(a^{2}+b^{2}\right)}+\frac{f \,b^{4} c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d^{2} a^{3} \left(a^{2}+b^{2}\right)}-\frac{f \,b^{4} \ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \left(a^{2}+b^{2}\right)}-\frac{f \,b^{4} \ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right) x}{d \,a^{3} \left(a^{2}+b^{2}\right)}-\frac{8 f c b \arctan \left({\mathrm e}^{d x +c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{4 i f \dilog \left(1+i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 i f \dilog \left(1-i {\mathrm e}^{d x +c}\right) b}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{\ln \left({\mathrm e}^{d x +c}+1\right) f x}{a d}+\frac{f c \ln \left({\mathrm e}^{d x +c}-1\right)}{a \,d^{2}}+\frac{4 e a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d \left(4 a^{2}+4 b^{2}\right)}+\frac{8 e b \arctan \left({\mathrm e}^{d x +c}\right)}{d \left(4 a^{2}+4 b^{2}\right)}-\frac{4 f c a \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}+1\right)}{d \,a^{3}}+\frac{b^{2} e \ln \left({\mathrm e}^{d x +c}-1\right)}{d \,a^{3}}+\frac{b f \ln \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{2}}-\frac{b f \ln \left({\mathrm e}^{d x +c}-1\right)}{d^{2} a^{2}}+\frac{4 f \dilog \left(1+i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(4 a^{2}+4 b^{2}\right)}+\frac{4 f \dilog \left(1-i {\mathrm e}^{d x +c}\right) a}{d^{2} \left(4 a^{2}+4 b^{2}\right)}-\frac{f \,b^{4} \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}+a}{a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \left(a^{2}+b^{2}\right)}+\frac{f \,b^{4} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{f \,b^{2} \arctanh \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{2} \sqrt{a^{2}+b^{2}}}-\frac{f \,b^{4} \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}+b^{2}}-a}{-a +\sqrt{a^{2}+b^{2}}}\right)}{d^{2} a^{3} \left(a^{2}+b^{2}\right)}-\frac{b^{4} e \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}-b \right)}{d \,a^{3} \left(a^{2}+b^{2}\right)}+\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}+1\right)}{d^{2} a^{3}}-\frac{b^{2} f \dilog \left({\mathrm e}^{d x +c}\right)}{d^{2} a^{3}}"," ",0,"-1/a/d*e*ln(exp(d*x+c)+1)-1/a/d*e*ln(exp(d*x+c)-1)+1/d/a^3*b^2*f*ln(exp(d*x+c)+1)*x-1/d^2/a^3*b^2*f*c*ln(exp(d*x+c)-1)-1/d^2*f/a*dilog(exp(d*x+c)+1)+1/d^2*f*dilog(exp(d*x+c))/a-(-2*b*d*f*x*exp(3*d*x+3*c)+2*a*d*f*x*exp(2*d*x+2*c)-2*b*d*e*exp(3*d*x+3*c)+2*a*d*e*exp(2*d*x+2*c)+2*b*d*f*x*exp(d*x+c)+a*f*exp(2*d*x+2*c)+2*b*d*e*exp(d*x+c)-a*f)/d^2/a^2/(exp(2*d*x+2*c)-1)^2+1/d^2*b^2*f/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/a^3*f*b^4/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d^2/a^3*f*b^4/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/a^3*f*b^4*c/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-1/d/a^3*f*b^4/(a^2+b^2)*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d/a^3*f*b^4/(a^2+b^2)*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-4*I/d^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*c-4*I/d*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*x+4*I/d*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*x+4*I/d^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*c-8/d^2*f*c/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))-1/a/d*ln(exp(d*x+c)+1)*f*x+1/a/d^2*f*c*ln(exp(d*x+c)-1)+4/d*e/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))+8/d*e/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))+4/d^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*a+4/d^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*a+4/d*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*x+4/d^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*c+4/d*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*x+4/d^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*c-4/d^2*f*c/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))+1/d/a^3*b^2*e*ln(exp(d*x+c)+1)+1/d/a^3*b^2*e*ln(exp(d*x+c)-1)+1/d^2/a^3*b^2*f*dilog(exp(d*x+c)+1)-1/d^2/a^3*b^2*f*dilog(exp(d*x+c))+1/d^2/a^2*b*f*ln(exp(d*x+c)+1)-1/d^2/a^2*b*f*ln(exp(d*x+c)-1)-1/d^2/a^3*f*b^4/(a^2+b^2)*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+1/d^2/a^2*f*b^4/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/a^2*f*b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/a^3*f*b^4/(a^2+b^2)*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d/a^3*b^4*e/(a^2+b^2)*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)-4*I/d^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*b+4*I/d^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*b","B"
494,1,219,128,0.004000," ","int(csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{b^{4} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \,a^{3} \left(a^{2}+b^{2}\right)}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{a \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{2}+b^{2}\right)}+\frac{2 b \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a^{2}+b^{2}\right)}"," ",0,"-1/8/d/a*tanh(1/2*d*x+1/2*c)^2-1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-1/d*b^4/a^3/(a^2+b^2)*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-1/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)+1/d/(a^2+b^2)*a*ln(tanh(1/2*d*x+1/2*c)^2+1)+2/d/(a^2+b^2)*b*arctan(tanh(1/2*d*x+1/2*c))","A"
495,0,0,36,4.127000," ","int(csch(d*x+c)^3*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{3} \mathrm{sech}\left(d x +c \right)}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^3*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
496,0,0,1178,5.700000," ","int((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\int \frac{\left(f x +e \right)^{2} \mathrm{csch}\left(d x +c \right)^{3} \mathrm{sech}\left(d x +c \right)^{2}}{a +b \sinh \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","F"
497,1,2767,659,0.435000," ","int((f*x+e)*csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\text{Expression too large to display}"," ",0,"1/(a^2+b^2)^(5/2)/d^2*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a^3+2/(a^2+b^2)^(5/2)/d^2*f*b^3*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a-1/d^2/(a^2+b^2)*b*f*ln(exp(d*x+c)+1)-1/d^2/(a^2+b^2)*b*f*ln(exp(d*x+c)-1)-1/d^2/(a^2+b^2)^(5/2)/a^3*b^7*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(3/2)/a^3*b^5*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(5/2)/a^3*b^7*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/(a^2+b^2)^(5/2)/a^3*b^7*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d/(a^2+b^2)^(5/2)/a^3*b^7*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+1/d/(a^2+b^2)^(5/2)/a^3*b^7*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-2/d^2*a/(a^2+b^2)^(5/2)*b^3*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/d^2/(a^2+b^2)^(3/2)*f*b^3/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-3/2*b/d*e/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a-3/2/d^2/(a^2+b^2)^(5/2)*b^5*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-3/2/d^2/(a^2+b^2)^(5/2)*a^3*f*b*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/2/d^2/(a^2+b^2)^(3/2)*b^3*f*c/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(5/2)*f*b^5/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/d/(a^2+b^2)^(5/2)*f*b^5/a*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x+4/(a^2+b^2)/d^2*b*f*ln(exp(d*x+c))+3/2/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c)+1)+3/2/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c))+3/2/d/(a^2+b^2)*a*e*ln(exp(d*x+c)+1)-3/2/d/(a^2+b^2)*a*e*ln(exp(d*x+c)-1)+3/2*b/d^2*f*c/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))*a-1/d^2/(a^2+b^2)/a^2*b^3*f*ln(exp(d*x+c)+1)-1/d^2/(a^2+b^2)/a^2*b^3*f*ln(exp(d*x+c)-1)+2/d^2/(a^2+b^2)/a^2*b^3*f*ln(exp(d*x+c))-1/d/(a^2+b^2)/a^3*b^4*e*ln(exp(d*x+c)+1)+1/d/(a^2+b^2)/a^3*b^4*e*ln(exp(d*x+c)-1)-1/d^2/(a^2+b^2)/a^3*b^4*f*dilog(exp(d*x+c)+1)-1/d^2/(a^2+b^2)/a^3*b^4*f*dilog(exp(d*x+c))-1/d/(a^2+b^2)/a^3*b^4*f*ln(exp(d*x+c)+1)*x+1/d/(a^2+b^2)^(5/2)/a^3*b^7*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d/(a^2+b^2)^(3/2)/a^3*b^5*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))-1/d^2/(a^2+b^2)^(3/2)*a*f*b*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/(a^2+b^2)^(5/2)*f*b^5/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+8/d^2/(a^2+b^2)*a*b^2*f/(4*a^2+4*b^2)*arctan(exp(d*x+c))+1/2/d^2/(a^2+b^2)*b^2*f*c/a*ln(exp(d*x+c)-1)+1/2/d/(a^2+b^2)*b^2*f/a*ln(exp(d*x+c)+1)*x+3/2/d/(a^2+b^2)^(5/2)*a^3*b*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+3/2/d/(a^2+b^2)^(5/2)*b^5*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/d/(a^2+b^2)^(3/2)*b^3*e/a*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-4/d^2/(a^2+b^2)*a^2*b*f/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))-1/d^2/(a^2+b^2)/a^3*b^4*f*c*ln(exp(d*x+c)-1)-1/d^2/(a^2+b^2)^(5/2)/a^3*b^7*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/(a^2+b^2)^(5/2)/a^3*b^7*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))+2/d*a/(a^2+b^2)^(5/2)*b^3*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-(3*a^3*d*f*x*exp(5*d*x+5*c)+a*b^2*d*f*x*exp(5*d*x+5*c)+3*a^3*d*e*exp(5*d*x+5*c)+a*b^2*d*e*exp(5*d*x+5*c)-2*b^3*d*f*x*exp(4*d*x+4*c)-2*a^3*d*f*x*exp(3*d*x+3*c)+a^3*f*exp(5*d*x+5*c)+2*a*b^2*d*f*x*exp(3*d*x+3*c)+a*b^2*f*exp(5*d*x+5*c)-2*b^3*d*e*exp(4*d*x+4*c)-2*a^3*d*e*exp(3*d*x+3*c)-4*a^2*b*d*f*x*exp(2*d*x+2*c)+2*a*b^2*d*e*exp(3*d*x+3*c)+3*a^3*d*f*x*exp(d*x+c)-4*a^2*b*d*e*exp(2*d*x+2*c)+a*b^2*d*f*x*exp(d*x+c)+3*a^3*d*e*exp(d*x+c)+4*a^2*b*d*f*x+a*b^2*d*e*exp(d*x+c)+2*b^3*d*f*x-a^3*f*exp(d*x+c)+4*a^2*b*d*e-a*b^2*f*exp(d*x+c)+2*b^3*d*e)/d^2/a^2/(exp(2*d*x+2*c)-1)^2/(a^2+b^2)/(1+exp(2*d*x+2*c))+1/2/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)+1)-1/2/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)-1)+1/2/d^2/(a^2+b^2)*b^2*f/a*dilog(exp(d*x+c)+1)+1/2/d^2/(a^2+b^2)*b^2*f*dilog(exp(d*x+c))/a+3/2/d^2/(a^2+b^2)*a*f*c*ln(exp(d*x+c)-1)+8/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*arctan(exp(d*x+c))-4/d^2/(a^2+b^2)*f*b^3/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+3/2/d/(a^2+b^2)*ln(exp(d*x+c)+1)*a*f*x","B"
498,1,233,195,0.005000," ","int(csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{2 b^{5} \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{2 a}{d \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/8/d/a*tanh(1/2*d*x+1/2*c)^2+1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-2/d/a^3*b^5/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-3/2/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)+2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*tanh(1/2*d*x+1/2*c)*b-2/d/(a^2+b^2)/(tanh(1/2*d*x+1/2*c)^2+1)*a","A"
499,0,0,38,4.481000," ","int(csch(d*x+c)^3*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{3} \mathrm{sech}\left(d x +c \right)^{2}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^3*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"
500,1,3563,1045,0.431000," ","int((f*x+e)*csch(d*x+c)^3*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","\text{output too large to display}"," ",0,"1/(a^2+b^2)^(5/2)/d^2*a^2*b^2*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+10*I/(a^2+b^2)/d*b^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x-10*I/(a^2+b^2)/d^2*b^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c+10*I/(a^2+b^2)/d^2*b^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c-6*I/(a^2+b^2)/d^2*a^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*b+6*I/(a^2+b^2)/d^2*a^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*b-10*I/(a^2+b^2)/d*b^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x-1/(a^2+b^2)^2/d^2/a^3*b^6*f*dilog((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))-1/(a^2+b^2)^2/d^2/a^3*b^6*f*dilog((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))+1/d^2/(a^2+b^2)*b*f*ln(exp(d*x+c)+1)-1/d^2/(a^2+b^2)*b*f*ln(exp(d*x+c)-1)-1/d^2*b^2*f/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-12/d^2/(a^2+b^2)*b^2*f*c/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))-12/d^2/(a^2+b^2)*a^2*f*c/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))+12/d/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*x+12/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*a*c+12/d/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*x+12/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*a*c+1/2/d^2/(a^2+b^2)^(5/2)*a^2*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-2/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c)+1)+2/d^2/(a^2+b^2)*a*f*dilog(exp(d*x+c))-2/d/(a^2+b^2)*a*e*ln(exp(d*x+c)+1)-2/d/(a^2+b^2)*a*e*ln(exp(d*x+c)-1)+8/d/(a^2+b^2)*a^3*e/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+8/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))+8/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))+1/2/d/(a^2+b^2)^(3/2)*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/d/(a^2+b^2)^(5/2)*b^4*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+20/d/(a^2+b^2)*b^3*e/(4*a^2+4*b^2)*arctan(exp(d*x+c))-(-3*a^2*b*d*f*x*exp(7*d*x+7*c)+2*a*b^2*d*f*x*exp(6*d*x+6*c)+a^2*b*d*f*x*exp(5*d*x+5*c)-2*b^3*d*e*exp(7*d*x+7*c)+4*a^3*d*e*exp(6*d*x+6*c)-a^2*b*f*exp(7*d*x+7*c)+a*b^2*f*exp(6*d*x+6*c)-2*b^3*d*e*exp(5*d*x+5*c)+a^2*b*f*exp(5*d*x+5*c)+a*b^2*f*exp(4*d*x+4*c)+2*a*b^2*d*f*x*exp(2*d*x+2*c)-2*a^3*f*exp(2*d*x+2*c)+2*a^3*f*exp(6*d*x+6*c)+3*a^2*b*d*f*x*exp(d*x+c)-a^2*b*d*f*x*exp(3*d*x+3*c)-2*b^3*d*f*x*exp(7*d*x+7*c)+4*a^3*d*f*x*exp(6*d*x+6*c)-a*b^2*f*exp(2*d*x+2*c)+2*b^3*d*e*exp(3*d*x+3*c)+4*a^3*d*e*exp(2*d*x+2*c)+a^2*b*f*exp(3*d*x+3*c)-3*a^2*b*d*e*exp(7*d*x+7*c)+2*a*b^2*d*e*exp(6*d*x+6*c)-2*b^3*d*f*x*exp(5*d*x+5*c)+a^2*b*d*e*exp(5*d*x+5*c)+4*a*b^2*d*e*exp(4*d*x+4*c)+2*b^3*d*e*exp(d*x+c)-a^2*b*f*exp(d*x+c)-a*b^2*f+2*b^3*d*f*x*exp(3*d*x+3*c)+4*a^3*d*f*x*exp(2*d*x+2*c)-a^2*b*d*e*exp(3*d*x+3*c)+2*a*b^2*d*e*exp(2*d*x+2*c)+4*a*b^2*d*f*x*exp(4*d*x+4*c)+2*b^3*d*f*x*exp(d*x+c)+3*a^2*b*d*e*exp(d*x+c))/d^2/(a^2+b^2)/(1+exp(2*d*x+2*c))^2/a^2/(exp(2*d*x+2*c)-1)^2-1/d^2/a^2*f*b^4/(a^2+b^2)^(3/2)*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-6*I/(a^2+b^2)/d*a^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*x+6*I/(a^2+b^2)/d*a^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*x-6*I/(a^2+b^2)/d^2*a^2*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*b*c+6*I/(a^2+b^2)/d^2*a^2*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*b*c+2/(a^2+b^2)^(5/2)/d^2*b^4*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/d^2/(a^2+b^2)/a^2*b^3*f*ln(exp(d*x+c)+1)-1/d^2/(a^2+b^2)/a^2*b^3*f*ln(exp(d*x+c)-1)+1/d/(a^2+b^2)/a^3*b^4*e*ln(exp(d*x+c)+1)+1/d/(a^2+b^2)/a^3*b^4*e*ln(exp(d*x+c)-1)+1/d^2/(a^2+b^2)/a^3*b^4*f*dilog(exp(d*x+c)+1)-1/d^2/(a^2+b^2)/a^3*b^4*f*dilog(exp(d*x+c))-1/(a^2+b^2)^2/d/a^3*b^6*e*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/d/(a^2+b^2)/a^3*b^4*f*ln(exp(d*x+c)+1)*x+10*I/(a^2+b^2)/d^2*b^3*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))-10*I/(a^2+b^2)/d^2*b^3*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))-1/(a^2+b^2)^2/d/a^3*b^6*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^2/d/a^3*b^6*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*x-1/(a^2+b^2)^2/d^2/a^3*b^6*f*ln((b*exp(d*x+c)+(a^2+b^2)^(1/2)+a)/(a+(a^2+b^2)^(1/2)))*c-1/(a^2+b^2)^2/d^2/a^3*b^6*f*ln((-b*exp(d*x+c)+(a^2+b^2)^(1/2)-a)/(-a+(a^2+b^2)^(1/2)))*c+1/(a^2+b^2)^2/d^2/a^3*b^6*f*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)-b)+1/(a^2+b^2)^(5/2)/d^2/a^2*b^6*f*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-1/2/d^2/(a^2+b^2)^(3/2)*b^2*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+1/2/d^2/(a^2+b^2)^(5/2)*b^4*f*c*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))-20/d^2/(a^2+b^2)*b^3*f*c/(4*a^2+4*b^2)*arctan(exp(d*x+c))+12/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*dilog(1+I*exp(d*x+c))*a+12/d^2/(a^2+b^2)*b^2*f/(4*a^2+4*b^2)*dilog(1-I*exp(d*x+c))*a-8/d^2/(a^2+b^2)*a^3*f*c/(4*a^2+4*b^2)*ln(1+exp(2*d*x+2*c))+12/d/(a^2+b^2)*b^2*e/(4*a^2+4*b^2)*a*ln(1+exp(2*d*x+2*c))-1/2/d/(a^2+b^2)^(5/2)*a^2*b^2*e*arctanh(1/2*(2*b*exp(d*x+c)+2*a)/(a^2+b^2)^(1/2))+12/d/(a^2+b^2)*a^2*e/(4*a^2+4*b^2)*b*arctan(exp(d*x+c))+8/d/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*x+8/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1+I*exp(d*x+c))*c+8/d/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*x+8/d^2/(a^2+b^2)*a^3*f/(4*a^2+4*b^2)*ln(1-I*exp(d*x+c))*c+1/d^2/(a^2+b^2)*b^2*f*c/a*ln(exp(d*x+c)-1)-1/d/(a^2+b^2)*b^2*f/a*ln(exp(d*x+c)+1)*x-1/d^2/(a^2+b^2)/a^3*b^4*f*c*ln(exp(d*x+c)-1)-1/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)+1)-1/d/(a^2+b^2)*b^2*e/a*ln(exp(d*x+c)-1)-1/d^2/(a^2+b^2)*b^2*f/a*dilog(exp(d*x+c)+1)+1/d^2/(a^2+b^2)*b^2*f*dilog(exp(d*x+c))/a+2/d^2/(a^2+b^2)*a*f*c*ln(exp(d*x+c)-1)-2/d/(a^2+b^2)*ln(exp(d*x+c)+1)*a*f*x","B"
501,1,539,205,0.004000," ","int(csch(d*x+c)^3*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{b^{6} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(a^{2}+b^{2}\right)^{2} a^{3}}-\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{3}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a \,b^{2}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2} b}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b^{3}}{d \left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{2 \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{3}}{d \left(a^{2}+b^{2}\right)^{2}}+\frac{3 \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a \,b^{2}}{d \left(a^{2}+b^{2}\right)^{2}}+\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b}{d \left(a^{2}+b^{2}\right)^{2}}+\frac{5 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(a^{2}+b^{2}\right)^{2}}"," ",0,"-1/8/d/a*tanh(1/2*d*x+1/2*c)^2-1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-1/d*b^6/(a^2+b^2)^2/a^3*ln(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-2/d/a*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)-1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a^2*b-1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b^3+2/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a^3+2/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^2*a*b^2+1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a^2*b+1/d/(a^2+b^2)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b^3+2/d/(a^2+b^2)^2*ln(tanh(1/2*d*x+1/2*c)^2+1)*a^3+3/d/(a^2+b^2)^2*ln(tanh(1/2*d*x+1/2*c)^2+1)*a*b^2+3/d/(a^2+b^2)^2*arctan(tanh(1/2*d*x+1/2*c))*a^2*b+5/d/(a^2+b^2)^2*arctan(tanh(1/2*d*x+1/2*c))*b^3","B"
502,0,0,38,4.632000," ","int(csch(d*x+c)^3*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","\int \frac{\mathrm{csch}\left(d x +c \right)^{3} \mathrm{sech}\left(d x +c \right)^{3}}{\left(f x +e \right) \left(a +b \sinh \left(d x +c \right)\right)}\, dx"," ",0,"int(csch(d*x+c)^3*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x)","F"