1,1,547,91,0.052000," ","int((d*x+c)^4*cosh(b*x+a),x)","\frac{c^{4} \sinh \left(b x +a \right)+\frac{d^{4} \left(\left(b x +a \right)^{4} \sinh \left(b x +a \right)-4 \left(b x +a \right)^{3} \cosh \left(b x +a \right)+12 \left(b x +a \right)^{2} \sinh \left(b x +a \right)-24 \left(b x +a \right) \cosh \left(b x +a \right)+24 \sinh \left(b x +a \right)\right)}{b^{4}}+\frac{d^{4} a^{4} \sinh \left(b x +a \right)}{b^{4}}-\frac{4 d^{3} a^{3} c \sinh \left(b x +a \right)}{b^{3}}+\frac{6 d^{2} a^{2} c^{2} \sinh \left(b x +a \right)}{b^{2}}-\frac{4 d a \,c^{3} \sinh \left(b x +a \right)}{b}-\frac{4 d^{4} a \left(\left(b x +a \right)^{3} \sinh \left(b x +a \right)-3 \left(b x +a \right)^{2} \cosh \left(b x +a \right)+6 \left(b x +a \right) \sinh \left(b x +a \right)-6 \cosh \left(b x +a \right)\right)}{b^{4}}+\frac{4 d^{3} c \left(\left(b x +a \right)^{3} \sinh \left(b x +a \right)-3 \left(b x +a \right)^{2} \cosh \left(b x +a \right)+6 \left(b x +a \right) \sinh \left(b x +a \right)-6 \cosh \left(b x +a \right)\right)}{b^{3}}+\frac{6 d^{4} a^{2} \left(\left(b x +a \right)^{2} \sinh \left(b x +a \right)-2 \left(b x +a \right) \cosh \left(b x +a \right)+2 \sinh \left(b x +a \right)\right)}{b^{4}}+\frac{6 d^{2} c^{2} \left(\left(b x +a \right)^{2} \sinh \left(b x +a \right)-2 \left(b x +a \right) \cosh \left(b x +a \right)+2 \sinh \left(b x +a \right)\right)}{b^{2}}-\frac{4 d^{4} a^{3} \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b^{4}}+\frac{4 d \,c^{3} \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b}-\frac{12 d^{2} a \,c^{2} \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b^{2}}-\frac{12 d^{3} a c \left(\left(b x +a \right)^{2} \sinh \left(b x +a \right)-2 \left(b x +a \right) \cosh \left(b x +a \right)+2 \sinh \left(b x +a \right)\right)}{b^{3}}+\frac{12 d^{3} a^{2} c \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b^{3}}}{b}"," ",0,"1/b*(c^4*sinh(b*x+a)+1/b^4*d^4*((b*x+a)^4*sinh(b*x+a)-4*(b*x+a)^3*cosh(b*x+a)+12*(b*x+a)^2*sinh(b*x+a)-24*(b*x+a)*cosh(b*x+a)+24*sinh(b*x+a))+1/b^4*d^4*a^4*sinh(b*x+a)-4/b^3*d^3*a^3*c*sinh(b*x+a)+6/b^2*d^2*a^2*c^2*sinh(b*x+a)-4/b*d*a*c^3*sinh(b*x+a)-4/b^4*d^4*a*((b*x+a)^3*sinh(b*x+a)-3*(b*x+a)^2*cosh(b*x+a)+6*(b*x+a)*sinh(b*x+a)-6*cosh(b*x+a))+4/b^3*d^3*c*((b*x+a)^3*sinh(b*x+a)-3*(b*x+a)^2*cosh(b*x+a)+6*(b*x+a)*sinh(b*x+a)-6*cosh(b*x+a))+6/b^4*d^4*a^2*((b*x+a)^2*sinh(b*x+a)-2*(b*x+a)*cosh(b*x+a)+2*sinh(b*x+a))+6/b^2*d^2*c^2*((b*x+a)^2*sinh(b*x+a)-2*(b*x+a)*cosh(b*x+a)+2*sinh(b*x+a))-4/b^4*d^4*a^3*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))+4/b*d*c^3*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))-12/b^2*d^2*a*c^2*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))-12/b^3*d^3*a*c*((b*x+a)^2*sinh(b*x+a)-2*(b*x+a)*cosh(b*x+a)+2*sinh(b*x+a))+12/b^3*d^3*a^2*c*((b*x+a)*sinh(b*x+a)-cosh(b*x+a)))","B"
2,1,308,70,0.058000," ","int((d*x+c)^3*cosh(b*x+a),x)","\frac{\frac{d^{3} \left(\left(b x +a \right)^{3} \sinh \left(b x +a \right)-3 \left(b x +a \right)^{2} \cosh \left(b x +a \right)+6 \left(b x +a \right) \sinh \left(b x +a \right)-6 \cosh \left(b x +a \right)\right)}{b^{3}}-\frac{3 d^{3} a \left(\left(b x +a \right)^{2} \sinh \left(b x +a \right)-2 \left(b x +a \right) \cosh \left(b x +a \right)+2 \sinh \left(b x +a \right)\right)}{b^{3}}+\frac{3 d^{2} c \left(\left(b x +a \right)^{2} \sinh \left(b x +a \right)-2 \left(b x +a \right) \cosh \left(b x +a \right)+2 \sinh \left(b x +a \right)\right)}{b^{2}}+\frac{3 d^{3} a^{2} \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b^{3}}-\frac{6 d^{2} a c \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b^{2}}+\frac{3 d \,c^{2} \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b}-\frac{d^{3} a^{3} \sinh \left(b x +a \right)}{b^{3}}+\frac{3 d^{2} a^{2} c \sinh \left(b x +a \right)}{b^{2}}-\frac{3 d a \,c^{2} \sinh \left(b x +a \right)}{b}+c^{3} \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^3*d^3*((b*x+a)^3*sinh(b*x+a)-3*(b*x+a)^2*cosh(b*x+a)+6*(b*x+a)*sinh(b*x+a)-6*cosh(b*x+a))-3/b^3*d^3*a*((b*x+a)^2*sinh(b*x+a)-2*(b*x+a)*cosh(b*x+a)+2*sinh(b*x+a))+3/b^2*d^2*c*((b*x+a)^2*sinh(b*x+a)-2*(b*x+a)*cosh(b*x+a)+2*sinh(b*x+a))+3/b^3*d^3*a^2*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))-6/b^2*d^2*a*c*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))+3/b*d*c^2*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))-1/b^3*d^3*a^3*sinh(b*x+a)+3/b^2*d^2*a^2*c*sinh(b*x+a)-3/b*d*a*c^2*sinh(b*x+a)+c^3*sinh(b*x+a))","B"
3,1,147,49,0.050000," ","int((d*x+c)^2*cosh(b*x+a),x)","\frac{\frac{d^{2} \left(\left(b x +a \right)^{2} \sinh \left(b x +a \right)-2 \left(b x +a \right) \cosh \left(b x +a \right)+2 \sinh \left(b x +a \right)\right)}{b^{2}}-\frac{2 d^{2} a \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b^{2}}+\frac{2 d c \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b}+\frac{d^{2} a^{2} \sinh \left(b x +a \right)}{b^{2}}-\frac{2 d a c \sinh \left(b x +a \right)}{b}+c^{2} \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^2*d^2*((b*x+a)^2*sinh(b*x+a)-2*(b*x+a)*cosh(b*x+a)+2*sinh(b*x+a))-2/b^2*d^2*a*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))+2/b*d*c*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))+1/b^2*d^2*a^2*sinh(b*x+a)-2/b*d*a*c*sinh(b*x+a)+c^2*sinh(b*x+a))","B"
4,1,53,28,0.048000," ","int((d*x+c)*cosh(b*x+a),x)","\frac{\frac{d \left(\left(b x +a \right) \sinh \left(b x +a \right)-\cosh \left(b x +a \right)\right)}{b}-\frac{d a \sinh \left(b x +a \right)}{b}+c \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b*d*((b*x+a)*sinh(b*x+a)-cosh(b*x+a))-1/b*d*a*sinh(b*x+a)+c*sinh(b*x+a))","A"
5,1,82,51,0.075000," ","int(cosh(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"
6,1,133,71,0.090000," ","int(cosh(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"
7,1,277,96,0.099000," ","int(cosh(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"
8,1,910,148,0.069000," ","int((d*x+c)^4*cosh(b*x+a)^2,x)","\frac{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^{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}}+\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}}-\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{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{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}}}{b}"," ",0,"1/b*(c^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)+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)-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)-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)+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))","B"
9,1,523,120,0.059000," ","int((d*x+c)^3*cosh(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"
10,1,262,85,0.052000," ","int((d*x+c)^2*cosh(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"
11,1,103,47,0.053000," ","int((d*x+c)*cosh(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"
12,1,97,72,0.254000," ","int(cosh(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"
13,1,152,81,0.238000," ","int(cosh(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"
14,1,299,110,0.249000," ","int(cosh(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"
15,1,555,150,0.250000," ","int(cosh(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"
16,1,1139,205,0.173000," ","int((d*x+c)^4*cosh(b*x+a)^3,x)","\frac{\frac{d^{4} \left(\frac{2 \left(b x +a \right)^{4} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{4} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{8 \left(b x +a \right)^{3} \cosh \left(b x +a \right)}{3}+\frac{80 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{9}-\frac{160 \left(b x +a \right) \cosh \left(b x +a \right)}{9}+\frac{1456 \sinh \left(b x +a \right)}{81}-\frac{4 \left(b x +a \right)^{3} \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{4 \left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{9}-\frac{8 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{27}+\frac{8 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{81}\right)}{b^{4}}-\frac{4 d^{4} a \left(\frac{2 \left(b x +a \right)^{3} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)+\frac{40 \left(b x +a \right) \sinh \left(b x +a \right)}{9}-\frac{40 \cosh \left(b x +a \right)}{9}-\frac{\left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{9}-\frac{2 \left(\cosh^{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} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{40 \sinh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}\right)}{b^{4}}-\frac{4 d^{4} a^{3} \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{4}}+\frac{d^{4} a^{4} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b^{4}}+\frac{4 c \,d^{3} \left(\frac{2 \left(b x +a \right)^{3} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)+\frac{40 \left(b x +a \right) \sinh \left(b x +a \right)}{9}-\frac{40 \cosh \left(b x +a \right)}{9}-\frac{\left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{9}-\frac{2 \left(\cosh^{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} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{40 \sinh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}\right)}{b^{3}}+\frac{12 c \,d^{3} a^{2} \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{3}}-\frac{4 c \,d^{3} a^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b^{3}}+\frac{6 c^{2} d^{2} \left(\frac{2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{40 \sinh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}\right)}{b^{2}}-\frac{12 c^{2} d^{2} a \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{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(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b^{2}}+\frac{4 c^{3} d \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{4 c^{3} d a \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}+c^{4} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^4*d^4*(2/3*(b*x+a)^4*sinh(b*x+a)+1/3*(b*x+a)^4*sinh(b*x+a)*cosh(b*x+a)^2-8/3*(b*x+a)^3*cosh(b*x+a)+80/9*(b*x+a)^2*sinh(b*x+a)-160/9*(b*x+a)*cosh(b*x+a)+1456/81*sinh(b*x+a)-4/9*(b*x+a)^3*cosh(b*x+a)^3+4/9*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-8/27*(b*x+a)*cosh(b*x+a)^3+8/81*cosh(b*x+a)^2*sinh(b*x+a))-4/b^4*d^4*a*(2/3*(b*x+a)^3*sinh(b*x+a)+1/3*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^2-2*(b*x+a)^2*cosh(b*x+a)+40/9*(b*x+a)*sinh(b*x+a)-40/9*cosh(b*x+a)-1/3*(b*x+a)^2*cosh(b*x+a)^3+2/9*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/27*cosh(b*x+a)^3)+6/b^4*d^4*a^2*(2/3*(b*x+a)^2*sinh(b*x+a)+1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-4/3*(b*x+a)*cosh(b*x+a)+40/27*sinh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)^3+2/27*cosh(b*x+a)^2*sinh(b*x+a))-4/b^4*d^4*a^3*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)+1/b^4*d^4*a^4*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+4/b^3*c*d^3*(2/3*(b*x+a)^3*sinh(b*x+a)+1/3*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^2-2*(b*x+a)^2*cosh(b*x+a)+40/9*(b*x+a)*sinh(b*x+a)-40/9*cosh(b*x+a)-1/3*(b*x+a)^2*cosh(b*x+a)^3+2/9*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/27*cosh(b*x+a)^3)-12/b^3*c*d^3*a*(2/3*(b*x+a)^2*sinh(b*x+a)+1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-4/3*(b*x+a)*cosh(b*x+a)+40/27*sinh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)^3+2/27*cosh(b*x+a)^2*sinh(b*x+a))+12/b^3*c*d^3*a^2*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)-4/b^3*c*d^3*a^3*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+6/b^2*c^2*d^2*(2/3*(b*x+a)^2*sinh(b*x+a)+1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-4/3*(b*x+a)*cosh(b*x+a)+40/27*sinh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)^3+2/27*cosh(b*x+a)^2*sinh(b*x+a))-12/b^2*c^2*d^2*a*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)+6/b^2*c^2*d^2*a^2*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+4/b*c^3*d*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)-4/b*c^3*d*a*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+c^4*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","B"
17,1,634,161,0.157000," ","int((d*x+c)^3*cosh(b*x+a)^3,x)","\frac{\frac{d^{3} \left(\frac{2 \left(b x +a \right)^{3} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)+\frac{40 \left(b x +a \right) \sinh \left(b x +a \right)}{9}-\frac{40 \cosh \left(b x +a \right)}{9}-\frac{\left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{9}-\frac{2 \left(\cosh^{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} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{40 \sinh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}\right)}{b^{3}}+\frac{3 d^{3} a^{2} \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{3}}-\frac{d^{3} a^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b^{3}}+\frac{3 c \,d^{2} \left(\frac{2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{40 \sinh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}\right)}{b^{2}}-\frac{6 c \,d^{2} a \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{2}}+\frac{3 c \,d^{2} a^{2} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b^{2}}+\frac{3 c^{2} d \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{3 c^{2} d a \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}+c^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^3*d^3*(2/3*(b*x+a)^3*sinh(b*x+a)+1/3*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^2-2*(b*x+a)^2*cosh(b*x+a)+40/9*(b*x+a)*sinh(b*x+a)-40/9*cosh(b*x+a)-1/3*(b*x+a)^2*cosh(b*x+a)^3+2/9*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/27*cosh(b*x+a)^3)-3/b^3*d^3*a*(2/3*(b*x+a)^2*sinh(b*x+a)+1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-4/3*(b*x+a)*cosh(b*x+a)+40/27*sinh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)^3+2/27*cosh(b*x+a)^2*sinh(b*x+a))+3/b^3*d^3*a^2*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)-1/b^3*d^3*a^3*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+3/b^2*c*d^2*(2/3*(b*x+a)^2*sinh(b*x+a)+1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-4/3*(b*x+a)*cosh(b*x+a)+40/27*sinh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)^3+2/27*cosh(b*x+a)^2*sinh(b*x+a))-6/b^2*c*d^2*a*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)+3/b^2*c*d^2*a^2*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+3/b*c^2*d*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)-3/b*c^2*d*a*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+c^3*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","B"
18,1,302,111,0.157000," ","int((d*x+c)^2*cosh(b*x+a)^3,x)","\frac{\frac{d^{2} \left(\frac{2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}+\frac{40 \sinh \left(b x +a \right)}{27}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}\right)}{b^{2}}-\frac{2 d^{2} a \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b^{2}}+\frac{d^{2} a^{2} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b^{2}}+\frac{2 c d \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{2 c d a \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}+c^{2} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b^2*d^2*(2/3*(b*x+a)^2*sinh(b*x+a)+1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-4/3*(b*x+a)*cosh(b*x+a)+40/27*sinh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)^3+2/27*cosh(b*x+a)^2*sinh(b*x+a))-2/b^2*d^2*a*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)+1/b^2*d^2*a^2*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+2/b*c*d*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)-2/b*c*d*a*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+c^2*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","B"
19,1,109,67,0.154000," ","int((d*x+c)*cosh(b*x+a)^3,x)","\frac{\frac{d \left(\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}-\frac{2 \cosh \left(b x +a \right)}{3}-\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{9}\right)}{b}-\frac{d a \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}+c \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/b*d*(2/3*(b*x+a)*sinh(b*x+a)+1/3*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-2/3*cosh(b*x+a)-1/9*cosh(b*x+a)^3)-1/b*d*a*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+c*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","A"
20,1,166,113,0.300000," ","int(cosh(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"
21,1,271,137,0.303000," ","int(cosh(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"
22,1,562,172,0.323000," ","int(cosh(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"
23,1,400,152,0.170000," ","int(x^3*cosh(b*x+a)^4,x)","\frac{\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \left(b x +a \right)^{3} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}+\frac{3 \left(b x +a \right)^{4}}{32}-\frac{3 \left(b x +a \right)^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{16}+\frac{3 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{32}+\frac{45 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{64}+\frac{45 \left(b x +a \right)^{2}}{128}-\frac{3 \left(\cosh^{4}\left(b x +a \right)\right)}{128}-\frac{45 \left(\cosh^{2}\left(b x +a \right)\right)}{128}-\frac{9 \left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{16}-3 a \left(\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}+\frac{\left(b x +a \right)^{3}}{8}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{8}+\frac{\sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{32}+\frac{15 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{64}+\frac{15 b x}{64}+\frac{15 a}{64}-\frac{3 \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{8}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\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)}{8}+\frac{3 \left(b x +a \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{16}\right)-a^{3} \left(\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}\right)}{b^{4}}"," ",0,"1/b^4*(1/4*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^3+3/8*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)+3/32*(b*x+a)^4-3/16*(b*x+a)^2*cosh(b*x+a)^4+3/32*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3+45/64*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+45/128*(b*x+a)^2-3/128*cosh(b*x+a)^4-45/128*cosh(b*x+a)^2-9/16*(b*x+a)^2*cosh(b*x+a)^2-3*a*(1/4*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^3+3/8*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)+1/8*(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)^4+1/32*sinh(b*x+a)*cosh(b*x+a)^3+15/64*cosh(b*x+a)*sinh(b*x+a)+15/64*b*x+15/64*a-3/8*(b*x+a)*cosh(b*x+a)^2)+3*a^2*(1/4*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3+3/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+3/16*(b*x+a)^2-1/16*cosh(b*x+a)^4-3/16*cosh(b*x+a)^2)-a^3*((1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)+3/8*b*x+3/8*a))","B"
24,1,237,118,0.164000," ","int(x^2*cosh(b*x+a)^4,x)","\frac{\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}+\frac{\left(b x +a \right)^{3}}{8}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{8}+\frac{\sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{32}+\frac{15 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{64}+\frac{15 b x}{64}+\frac{15 a}{64}-\frac{3 \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{8}-2 a \left(\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\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)}{8}+\frac{3 \left(b x +a \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{16}\right)+a^{2} \left(\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}\right)}{b^{3}}"," ",0,"1/b^3*(1/4*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^3+3/8*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)+1/8*(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)^4+1/32*sinh(b*x+a)*cosh(b*x+a)^3+15/64*cosh(b*x+a)*sinh(b*x+a)+15/64*b*x+15/64*a-3/8*(b*x+a)*cosh(b*x+a)^2-2*a*(1/4*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3+3/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+3/16*(b*x+a)^2-1/16*cosh(b*x+a)^4-3/16*cosh(b*x+a)^2)+a^2*((1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)+3/8*b*x+3/8*a))","A"
25,1,112,70,0.157000," ","int(x*cosh(b*x+a)^4,x)","\frac{\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\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)}{8}+\frac{3 \left(b x +a \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{16}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{16}-a \left(\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}\right)}{b^{2}}"," ",0,"1/b^2*(1/4*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3+3/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+3/16*(b*x+a)^2-1/16*cosh(b*x+a)^4-3/16*cosh(b*x+a)^2-a*((1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)+3/8*b*x+3/8*a))","A"
26,0,0,160,0.461000," ","int((d*x+c)^3*sech(b*x+a),x)","\int \left(d x +c \right)^{3} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int((d*x+c)^3*sech(b*x+a),x)","F"
27,0,0,106,0.399000," ","int((d*x+c)^2*sech(b*x+a),x)","\int \left(d x +c \right)^{2} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int((d*x+c)^2*sech(b*x+a),x)","F"
28,1,147,54,0.020000," ","int((d*x+c)*sech(b*x+a),x)","\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{b}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{b}+\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{i d \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{i d \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 d a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 c \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"I/b*d*ln(1-I*exp(b*x+a))*x-I/b*d*ln(1+I*exp(b*x+a))*x+I/b^2*d*ln(1-I*exp(b*x+a))*a-I/b^2*d*ln(1+I*exp(b*x+a))*a+I/b^2*d*dilog(1-I*exp(b*x+a))-I/b^2*d*dilog(1+I*exp(b*x+a))-2/b^2*d*a*arctan(exp(b*x+a))+2/b*c*arctan(exp(b*x+a))","B"
29,0,0,16,0.158000," ","int(sech(b*x+a)/(d*x+c),x)","\int \frac{\mathrm{sech}\left(b x +a \right)}{d x +c}\, dx"," ",0,"int(sech(b*x+a)/(d*x+c),x)","F"
30,0,0,16,0.161000," ","int(sech(b*x+a)/(d*x+c)^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(sech(b*x+a)/(d*x+c)^2,x)","F"
31,1,298,101,0.291000," ","int((d*x+c)^3*sech(b*x+a)^2,x)","-\frac{2 \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right)}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{3 d \,c^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{6 d \,c^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{6 d^{3} a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{2 d^{3} x^{3}}{b}-\frac{6 d^{3} a^{2} x}{b^{3}}-\frac{4 d^{3} a^{3}}{b^{4}}-\frac{3 d^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) x^{2}}{b^{2}}-\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right) x}{b^{3}}+\frac{3 d^{3} \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}-\frac{12 d^{2} c a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 d^{2} c \,x^{2}}{b}+\frac{12 d^{2} c a x}{b^{2}}+\frac{6 d^{2} c \,a^{2}}{b^{3}}-\frac{6 d^{2} c \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) x}{b^{2}}-\frac{3 d^{2} c \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}"," ",0,"-2*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/b/(1+exp(2*b*x+2*a))-3*d/b^2*c^2*ln(1+exp(2*b*x+2*a))+6*d/b^2*c^2*ln(exp(b*x+a))+6*d^3/b^4*a^2*ln(exp(b*x+a))+2*d^3/b*x^3-6*d^3/b^3*a^2*x-4*d^3/b^4*a^3-3*d^3/b^2*ln(1+exp(2*b*x+2*a))*x^2-3*d^3/b^3*polylog(2,-exp(2*b*x+2*a))*x+3/2*d^3*polylog(3,-exp(2*b*x+2*a))/b^4-12*d^2/b^3*c*a*ln(exp(b*x+a))+6*d^2/b*c*x^2+12*d^2/b^2*c*a*x+6*d^2/b^3*c*a^2-6*d^2/b^2*c*ln(1+exp(2*b*x+2*a))*x-3*d^2/b^3*c*polylog(2,-exp(2*b*x+2*a))","B"
32,1,159,73,0.261000," ","int((d*x+c)^2*sech(b*x+a)^2,x)","-\frac{2 \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{2 d c \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{4 d c \ln \left({\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}^{2 b x +2 a}\right) x}{b^{2}}-\frac{d^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{4 d^{2} a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-2*(d^2*x^2+2*c*d*x+c^2)/b/(1+exp(2*b*x+2*a))-2*d/b^2*c*ln(1+exp(2*b*x+2*a))+4*d/b^2*c*ln(exp(b*x+a))+2*d^2/b*x^2+4*d^2/b^2*a*x+2*d^2/b^3*a^2-2*d^2/b^2*ln(1+exp(2*b*x+2*a))*x-d^2*polylog(2,-exp(2*b*x+2*a))/b^3-4*d^2/b^3*a*ln(exp(b*x+a))","B"
33,1,57,29,0.184000," ","int((d*x+c)*sech(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(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{d \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}"," ",0,"2*d/b*x+2*d/b^2*a-2*(d*x+c)/b/(1+exp(2*b*x+2*a))-d/b^2*ln(1+exp(2*b*x+2*a))","A"
34,0,0,18,0.196000," ","int(sech(b*x+a)^2/(d*x+c),x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2}}{d x +c}\, dx"," ",0,"int(sech(b*x+a)^2/(d*x+c),x)","F"
35,0,0,18,0.192000," ","int(sech(b*x+a)^2/(d*x+c)^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(sech(b*x+a)^2/(d*x+c)^2,x)","F"
36,0,0,262,0.675000," ","int((d*x+c)^3*sech(b*x+a)^3,x)","\int \left(d x +c \right)^{3} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int((d*x+c)^3*sech(b*x+a)^3,x)","F"
37,0,0,160,0.571000," ","int((d*x+c)^2*sech(b*x+a)^3,x)","\int \left(d x +c \right)^{2} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int((d*x+c)^2*sech(b*x+a)^3,x)","F"
38,1,216,87,0.279000," ","int((d*x+c)*sech(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(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}+\frac{c \arctan \left({\mathrm e}^{b x +a}\right)}{b}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{2 b}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{2 b}+\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{i d \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{i d \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{d a \arctan \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/(1+exp(2*b*x+2*a))^2+1/b*c*arctan(exp(b*x+a))-1/2*I/b*d*ln(1+I*exp(b*x+a))*x-1/2*I/b^2*d*ln(1+I*exp(b*x+a))*a+1/2*I/b*d*ln(1-I*exp(b*x+a))*x+1/2*I/b^2*d*ln(1-I*exp(b*x+a))*a-1/2*I/b^2*d*dilog(1+I*exp(b*x+a))+1/2*I/b^2*d*dilog(1-I*exp(b*x+a))-1/b^2*d*a*arctan(exp(b*x+a))","B"
39,0,0,18,0.523000," ","int(sech(b*x+a)^3/(d*x+c),x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3}}{d x +c}\, dx"," ",0,"int(sech(b*x+a)^3/(d*x+c),x)","F"
40,0,0,18,0.676000," ","int(sech(b*x+a)^3/(d*x+c)^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(sech(b*x+a)^3/(d*x+c)^2,x)","F"
41,0,0,131,0.148000," ","int((d*x+c)^(5/2)*cosh(b*x+a),x)","\int \left(d x +c \right)^{\frac{5}{2}} \cosh \left(b x +a \right)\, dx"," ",0,"int((d*x+c)^(5/2)*cosh(b*x+a),x)","F"
42,0,0,110,0.155000," ","int((d*x+c)^(3/2)*cosh(b*x+a),x)","\int \left(d x +c \right)^{\frac{3}{2}} \cosh \left(b x +a \right)\, dx"," ",0,"int((d*x+c)^(3/2)*cosh(b*x+a),x)","F"
43,0,0,91,0.147000," ","int(cosh(b*x+a)*(d*x+c)^(1/2),x)","\int \cosh \left(b x +a \right) \sqrt{d x +c}\, dx"," ",0,"int(cosh(b*x+a)*(d*x+c)^(1/2),x)","F"
44,0,0,74,0.146000," ","int(cosh(b*x+a)/(d*x+c)^(1/2),x)","\int \frac{\cosh \left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(cosh(b*x+a)/(d*x+c)^(1/2),x)","F"
45,0,0,91,0.139000," ","int(cosh(b*x+a)/(d*x+c)^(3/2),x)","\int \frac{\cosh \left(b x +a \right)}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(cosh(b*x+a)/(d*x+c)^(3/2),x)","F"
46,0,0,111,0.139000," ","int(cosh(b*x+a)/(d*x+c)^(5/2),x)","\int \frac{\cosh \left(b x +a \right)}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(cosh(b*x+a)/(d*x+c)^(5/2),x)","F"
47,0,0,132,0.146000," ","int(cosh(b*x+a)/(d*x+c)^(7/2),x)","\int \frac{\cosh \left(b x +a \right)}{\left(d x +c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(cosh(b*x+a)/(d*x+c)^(7/2),x)","F"
48,0,0,183,0.298000," ","int((d*x+c)^(5/2)*cosh(b*x+a)^2,x)","\int \left(d x +c \right)^{\frac{5}{2}} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(5/2)*cosh(b*x+a)^2,x)","F"
49,0,0,159,0.292000," ","int((d*x+c)^(3/2)*cosh(b*x+a)^2,x)","\int \left(d x +c \right)^{\frac{3}{2}} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(3/2)*cosh(b*x+a)^2,x)","F"
50,0,0,122,0.280000," ","int(cosh(b*x+a)^2*(d*x+c)^(1/2),x)","\int \left(\cosh^{2}\left(b x +a \right)\right) \sqrt{d x +c}\, dx"," ",0,"int(cosh(b*x+a)^2*(d*x+c)^(1/2),x)","F"
51,0,0,100,0.278000," ","int(cosh(b*x+a)^2/(d*x+c)^(1/2),x)","\int \frac{\cosh^{2}\left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(cosh(b*x+a)^2/(d*x+c)^(1/2),x)","F"
52,0,0,109,0.273000," ","int(cosh(b*x+a)^2/(d*x+c)^(3/2),x)","\int \frac{\cosh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^2/(d*x+c)^(3/2),x)","F"
53,0,0,134,0.286000," ","int(cosh(b*x+a)^2/(d*x+c)^(5/2),x)","\int \frac{\cosh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^2/(d*x+c)^(5/2),x)","F"
54,0,0,172,0.291000," ","int(cosh(b*x+a)^2/(d*x+c)^(7/2),x)","\int \frac{\cosh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^2/(d*x+c)^(7/2),x)","F"
55,0,0,199,0.281000," ","int(cosh(b*x+a)^2/(d*x+c)^(9/2),x)","\int \frac{\cosh^{2}\left(b x +a \right)}{\left(d x +c \right)^{\frac{9}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^2/(d*x+c)^(9/2),x)","F"
56,0,0,291,0.506000," ","int((d*x+c)^(5/2)*cosh(b*x+a)^3,x)","\int \left(d x +c \right)^{\frac{5}{2}} \left(\cosh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(5/2)*cosh(b*x+a)^3,x)","F"
57,0,0,246,0.497000," ","int((d*x+c)^(3/2)*cosh(b*x+a)^3,x)","\int \left(d x +c \right)^{\frac{3}{2}} \left(\cosh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^(3/2)*cosh(b*x+a)^3,x)","F"
58,0,0,201,0.491000," ","int(cosh(b*x+a)^3*(d*x+c)^(1/2),x)","\int \left(\cosh^{3}\left(b x +a \right)\right) \sqrt{d x +c}\, dx"," ",0,"int(cosh(b*x+a)^3*(d*x+c)^(1/2),x)","F"
59,0,0,162,0.471000," ","int(cosh(b*x+a)^3/(d*x+c)^(1/2),x)","\int \frac{\cosh^{3}\left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(cosh(b*x+a)^3/(d*x+c)^(1/2),x)","F"
60,0,0,182,0.469000," ","int(cosh(b*x+a)^3/(d*x+c)^(3/2),x)","\int \frac{\cosh^{3}\left(b x +a \right)}{\left(d x +c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^3/(d*x+c)^(3/2),x)","F"
61,0,0,209,0.473000," ","int(cosh(b*x+a)^3/(d*x+c)^(5/2),x)","\int \frac{\cosh^{3}\left(b x +a \right)}{\left(d x +c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^3/(d*x+c)^(5/2),x)","F"
62,0,0,253,0.458000," ","int(cosh(b*x+a)^3/(d*x+c)^(7/2),x)","\int \frac{\cosh^{3}\left(b x +a \right)}{\left(d x +c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^3/(d*x+c)^(7/2),x)","F"
63,1,133,77,0.087000," ","int((d*x)^(3/2)*cosh(f*x),x)","-\frac{2 i \left(d x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \left(-\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{5}{2}} \left(10 f x +15\right) {\mathrm e}^{-f x}}{80 \sqrt{\pi}\, f^{2}}-\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{5}{2}} \left(-10 f x +15\right) {\mathrm e}^{f x}}{80 \sqrt{\pi}\, f^{2}}+\frac{3 \left(i f \right)^{\frac{5}{2}} \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{32 f^{\frac{5}{2}}}+\frac{3 \left(i f \right)^{\frac{5}{2}} \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{32 f^{\frac{5}{2}}}\right)}{x^{\frac{3}{2}} \left(i f \right)^{\frac{3}{2}} f}"," ",0,"-2*I*(d*x)^(3/2)/x^(3/2)*2^(1/2)/(I*f)^(3/2)*Pi^(1/2)/f*(-1/80/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(5/2)*(10*f*x+15)/f^2*exp(-f*x)-1/80/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(5/2)*(-10*f*x+15)/f^2*exp(f*x)+3/32*(I*f)^(5/2)*2^(1/2)/f^(5/2)*erf(x^(1/2)*f^(1/2))+3/32*(I*f)^(5/2)*2^(1/2)/f^(5/2)*erfi(x^(1/2)*f^(1/2)))","C"
64,1,121,62,0.082000," ","int(cosh(f*x)*(d*x)^(1/2),x)","-\frac{i \sqrt{\pi}\, \sqrt{d x}\, \sqrt{2}\, \left(\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{3}{2}} {\mathrm e}^{f x}}{4 \sqrt{\pi}\, f}-\frac{\sqrt{x}\, \sqrt{2}\, \left(i f \right)^{\frac{3}{2}} {\mathrm e}^{-f x}}{4 \sqrt{\pi}\, f}+\frac{\left(i f \right)^{\frac{3}{2}} \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{8 f^{\frac{3}{2}}}-\frac{\left(i f \right)^{\frac{3}{2}} \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{8 f^{\frac{3}{2}}}\right)}{\sqrt{x}\, \sqrt{i f}\, f}"," ",0,"-I*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)^(3/2)/f*exp(f*x)-1/4/Pi^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(3/2)/f*exp(-f*x)+1/8*(I*f)^(3/2)*2^(1/2)/f^(3/2)*erf(x^(1/2)*f^(1/2))-1/8*(I*f)^(3/2)*2^(1/2)/f^(3/2)*erfi(x^(1/2)*f^(1/2)))","C"
65,1,72,49,0.088000," ","int(cosh(f*x)/(d*x)^(1/2),x)","-\frac{i \sqrt{\pi}\, \sqrt{x}\, \sqrt{2}\, \sqrt{i f}\, \left(\frac{\sqrt{i f}\, \sqrt{2}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{2 \sqrt{f}}+\frac{\sqrt{i f}\, \sqrt{2}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{2 \sqrt{f}}\right)}{2 \sqrt{d x}\, f}"," ",0,"-1/2*I*Pi^(1/2)/(d*x)^(1/2)*x^(1/2)*2^(1/2)*(I*f)^(1/2)/f*(1/2*(I*f)^(1/2)*2^(1/2)/f^(1/2)*erf(x^(1/2)*f^(1/2))+1/2*(I*f)^(1/2)*2^(1/2)/f^(1/2)*erfi(x^(1/2)*f^(1/2)))","C"
66,1,115,62,0.083000," ","int(cosh(f*x)/(d*x)^(3/2),x)","-\frac{i \sqrt{\pi}\, x^{\frac{3}{2}} \sqrt{2}\, \left(i f \right)^{\frac{3}{2}} \left(-\frac{2 \sqrt{2}\, {\mathrm e}^{f x}}{\sqrt{\pi}\, \sqrt{x}\, \sqrt{i f}}-\frac{2 \sqrt{2}\, {\mathrm e}^{-f x}}{\sqrt{\pi}\, \sqrt{x}\, \sqrt{i f}}-\frac{2 \sqrt{2}\, \sqrt{f}\, \erf \left(\sqrt{x}\, \sqrt{f}\right)}{\sqrt{i f}}+\frac{2 \sqrt{2}\, \sqrt{f}\, \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{\sqrt{i f}}\right)}{4 \left(d x \right)^{\frac{3}{2}} f}"," ",0,"-1/4*I*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)*exp(f*x)-2/Pi^(1/2)/x^(1/2)*2^(1/2)/(I*f)^(1/2)*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"
67,1,126,78,0.085000," ","int(cosh(f*x)/(d*x)^(5/2),x)","-\frac{i \sqrt{\pi}\, x^{\frac{5}{2}} \sqrt{2}\, \left(i f \right)^{\frac{5}{2}} \left(-\frac{8 \sqrt{2}\, \left(-f x +\frac{1}{2}\right) {\mathrm e}^{-f x}}{3 \sqrt{\pi}\, x^{\frac{3}{2}} \left(i f \right)^{\frac{3}{2}}}-\frac{8 \sqrt{2}\, \left(f x +\frac{1}{2}\right) {\mathrm e}^{f x}}{3 \sqrt{\pi}\, x^{\frac{3}{2}} \left(i f \right)^{\frac{3}{2}}}+\frac{8 \sqrt{2}\, f^{\frac{3}{2}} \erf \left(\sqrt{x}\, \sqrt{f}\right)}{3 \left(i f \right)^{\frac{3}{2}}}+\frac{8 \sqrt{2}\, f^{\frac{3}{2}} \erfi \left(\sqrt{x}\, \sqrt{f}\right)}{3 \left(i f \right)^{\frac{3}{2}}}\right)}{8 \left(d x \right)^{\frac{5}{2}} f}"," ",0,"-1/8*I*Pi^(1/2)/(d*x)^(5/2)*x^(5/2)*2^(1/2)*(I*f)^(5/2)/f*(-8/3/Pi^(1/2)/x^(3/2)*2^(1/2)/(I*f)^(3/2)*(-f*x+1/2)*exp(-f*x)-8/3/Pi^(1/2)/x^(3/2)*2^(1/2)/(I*f)^(3/2)*(f*x+1/2)*exp(f*x)+8/3/(I*f)^(3/2)*2^(1/2)*f^(3/2)*erf(x^(1/2)*f^(1/2))+8/3/(I*f)^(3/2)*2^(1/2)*f^(3/2)*erfi(x^(1/2)*f^(1/2)))","C"
68,0,0,16,0.163000," ","int(sech(b*x+a)*(d*x+c)^(1/2),x)","\int \mathrm{sech}\left(b x +a \right) \sqrt{d x +c}\, dx"," ",0,"int(sech(b*x+a)*(d*x+c)^(1/2),x)","F"
69,0,0,16,0.163000," ","int(sech(b*x+a)/(d*x+c)^(1/2),x)","\int \frac{\mathrm{sech}\left(b x +a \right)}{\sqrt{d x +c}}\, dx"," ",0,"int(sech(b*x+a)/(d*x+c)^(1/2),x)","F"
70,-2,0,45,180.000000," ","int(cosh(x)^(3/2)/x^3,x)","\int \frac{\cosh^{\frac{3}{2}}\left(x \right)}{x^{3}}\, dx"," ",0,"int(cosh(x)^(3/2)/x^3,x)","F"
71,-2,0,16,180.000000," ","int(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x)","\int \frac{x}{\cosh \left(x \right)^{\frac{3}{2}}}+x \left(\sqrt{\cosh}\left(x \right)\right)\, dx"," ",0,"int(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x)","F"
72,0,0,16,0.245000," ","int(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x)","\int \frac{x}{\cosh \left(x \right)^{\frac{5}{2}}}-\frac{x}{3 \sqrt{\cosh \left(x \right)}}\, dx"," ",0,"int(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x)","F"
73,-2,0,31,180.000000," ","int(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x)","\int \frac{x}{\cosh \left(x \right)^{\frac{7}{2}}}+\frac{3 x \left(\sqrt{\cosh}\left(x \right)\right)}{5}\, dx"," ",0,"int(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x)","F"
74,-2,0,47,180.000000," ","int(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x)","\int \frac{x^{2}}{\cosh \left(x \right)^{\frac{3}{2}}}+x^{2} \left(\sqrt{\cosh}\left(x \right)\right)\, dx"," ",0,"int(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x)","F"
75,0,0,20,0.141000," ","int((d*x+c)^m*(b*cosh(f*x+e))^n,x)","\int \left(d x +c \right)^{m} \left(b \cosh \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((d*x+c)^m*(b*cosh(f*x+e))^n,x)","F"
76,0,0,225,0.316000," ","int((d*x+c)^m*cosh(b*x+a)^3,x)","\int \left(d x +c \right)^{m} \left(\cosh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^m*cosh(b*x+a)^3,x)","F"
77,0,0,140,0.217000," ","int((d*x+c)^m*cosh(b*x+a)^2,x)","\int \left(d x +c \right)^{m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int((d*x+c)^m*cosh(b*x+a)^2,x)","F"
78,0,0,104,0.147000," ","int((d*x+c)^m*cosh(b*x+a),x)","\int \left(d x +c \right)^{m} \cosh \left(b x +a \right)\, dx"," ",0,"int((d*x+c)^m*cosh(b*x+a),x)","F"
79,0,0,16,0.140000," ","int((d*x+c)^m*sech(b*x+a),x)","\int \left(d x +c \right)^{m} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int((d*x+c)^m*sech(b*x+a),x)","F"
80,0,0,18,0.143000," ","int((d*x+c)^m*sech(b*x+a)^2,x)","\int \left(d x +c \right)^{m} \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int((d*x+c)^m*sech(b*x+a)^2,x)","F"
81,1,73,53,0.102000," ","int(x^(3+m)*cosh(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) \cosh \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) \sinh \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)*cosh(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)*sinh(a)","C"
82,1,73,53,0.129000," ","int(x^(2+m)*cosh(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) \cosh \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) \sinh \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)*cosh(a)+b/(4+m)*x^(4+m)*hypergeom([2+1/2*m],[3/2,3+1/2*m],1/4*x^2*b^2)*sinh(a)","C"
83,1,73,53,0.120000," ","int(x^(1+m)*cosh(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) \cosh \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) \sinh \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)*cosh(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)*sinh(a)","C"
84,1,73,53,0.107000," ","int(x^m*cosh(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) \cosh \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) \sinh \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)*cosh(a)+b/(2+m)*x^(2+m)*hypergeom([1+1/2*m],[3/2,2+1/2*m],1/4*x^2*b^2)*sinh(a)","C"
85,1,67,43,0.119000," ","int(x^(-1+m)*cosh(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) \cosh \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) \sinh \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)*cosh(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)*sinh(a)","C"
86,1,67,49,0.129000," ","int(x^(-2+m)*cosh(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) \cosh \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) \sinh \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)*cosh(a)+b/m*x^m*hypergeom([1/2*m],[3/2,1+1/2*m],1/4*x^2*b^2)*sinh(a)","C"
87,1,71,53,0.097000," ","int(x^(-3+m)*cosh(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) \cosh \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) \sinh \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)*cosh(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)*sinh(a)","C"
88,0,0,84,0.191000," ","int(x^(3+m)*cosh(b*x+a)^2,x)","\int x^{3+m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(3+m)*cosh(b*x+a)^2,x)","F"
89,0,0,83,0.195000," ","int(x^(2+m)*cosh(b*x+a)^2,x)","\int x^{2+m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(2+m)*cosh(b*x+a)^2,x)","F"
90,0,0,84,0.230000," ","int(x^(1+m)*cosh(b*x+a)^2,x)","\int x^{1+m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(1+m)*cosh(b*x+a)^2,x)","F"
91,0,0,83,0.206000," ","int(x^m*cosh(b*x+a)^2,x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^2,x)","F"
92,0,0,70,0.251000," ","int(x^(-1+m)*cosh(b*x+a)^2,x)","\int x^{-1+m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(-1+m)*cosh(b*x+a)^2,x)","F"
93,0,0,81,0.202000," ","int(x^(-2+m)*cosh(b*x+a)^2,x)","\int x^{-2+m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(-2+m)*cosh(b*x+a)^2,x)","F"
94,0,0,82,0.204000," ","int(x^(-3+m)*cosh(b*x+a)^2,x)","\int x^{-3+m} \left(\cosh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^(-3+m)*cosh(b*x+a)^2,x)","F"
95,0,0,16,0.230000," ","int(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x)","\int \frac{x}{\mathrm{sech}\left(x \right)^{\frac{3}{2}}}-\frac{x \sqrt{\mathrm{sech}\left(x \right)}}{3}\, dx"," ",0,"int(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x)","F"
96,0,0,16,0.216000," ","int(x/sech(x)^(5/2)-3/5*x/sech(x)^(1/2),x)","\int \frac{x}{\mathrm{sech}\left(x \right)^{\frac{5}{2}}}-\frac{3 x}{5 \sqrt{\mathrm{sech}\left(x \right)}}\, dx"," ",0,"int(x/sech(x)^(5/2)-3/5*x/sech(x)^(1/2),x)","F"
97,0,0,31,0.229000," ","int(x/sech(x)^(7/2)-5/21*x*sech(x)^(1/2),x)","\int \frac{x}{\mathrm{sech}\left(x \right)^{\frac{7}{2}}}-\frac{5 x \sqrt{\mathrm{sech}\left(x \right)}}{21}\, dx"," ",0,"int(x/sech(x)^(7/2)-5/21*x*sech(x)^(1/2),x)","F"
98,0,0,63,0.223000," ","int(x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2),x)","\int \frac{x^{2}}{\mathrm{sech}\left(x \right)^{\frac{3}{2}}}-\frac{x^{2} \sqrt{\mathrm{sech}\left(x \right)}}{3}\, dx"," ",0,"int(x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2),x)","F"
99,1,482,87,0.064000," ","int((d*x+c)^3*(a+a*cosh(f*x+e)),x)","\frac{\frac{d^{3} a \left(f x +e \right)^{4}}{4 f^{3}}+\frac{d^{3} a \left(\left(f x +e \right)^{3} \sinh \left(f x +e \right)-3 \left(f x +e \right)^{2} \cosh \left(f x +e \right)+6 \left(f x +e \right) \sinh \left(f x +e \right)-6 \cosh \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 a \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{3}}+\frac{d^{2} c a \left(f x +e \right)^{3}}{f^{2}}+\frac{3 d^{2} c a \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{2}}+\frac{3 d^{3} e^{2} a \left(f x +e \right)^{2}}{2 f^{3}}+\frac{3 d^{3} e^{2} a \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{3}}-\frac{3 d^{2} e c a \left(f x +e \right)^{2}}{f^{2}}-\frac{6 d^{2} e c a \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{2}}+\frac{3 d \,c^{2} a \left(f x +e \right)^{2}}{2 f}+\frac{3 d \,c^{2} a \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}-\frac{d^{3} e^{3} a \left(f x +e \right)}{f^{3}}-\frac{d^{3} e^{3} a \sinh \left(f x +e \right)}{f^{3}}+\frac{3 d^{2} e^{2} c a \left(f x +e \right)}{f^{2}}+\frac{3 d^{2} e^{2} c a \sinh \left(f x +e \right)}{f^{2}}-\frac{3 d e \,c^{2} a \left(f x +e \right)}{f}-\frac{3 d e \,c^{2} a \sinh \left(f x +e \right)}{f}+c^{3} a \left(f x +e \right)+c^{3} a \sinh \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*a*((f*x+e)^3*sinh(f*x+e)-3*(f*x+e)^2*cosh(f*x+e)+6*(f*x+e)*sinh(f*x+e)-6*cosh(f*x+e))-1/f^3*d^3*e*a*(f*x+e)^3-3/f^3*d^3*e*a*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))+1/f^2*d^2*c*a*(f*x+e)^3+3/f^2*d^2*c*a*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))+3/2/f^3*d^3*e^2*a*(f*x+e)^2+3/f^3*d^3*e^2*a*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))-3/f^2*d^2*e*c*a*(f*x+e)^2-6/f^2*d^2*e*c*a*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+3/2/f*d*c^2*a*(f*x+e)^2+3/f*d*c^2*a*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))-d^3*e^3/f^3*a*(f*x+e)-d^3*e^3/f^3*a*sinh(f*x+e)+3*d^2*e^2/f^2*c*a*(f*x+e)+3*d^2*e^2/f^2*c*a*sinh(f*x+e)-3*d*e/f*c^2*a*(f*x+e)-3*d*e/f*c^2*a*sinh(f*x+e)+c^3*a*(f*x+e)+c^3*a*sinh(f*x+e))","B"
100,1,240,65,0.069000," ","int((d*x+c)^2*(a+a*cosh(f*x+e)),x)","\frac{\frac{d^{2} a \left(f x +e \right)^{3}}{3 f^{2}}+\frac{d^{2} a \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \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 a \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{2}}+\frac{d c a \left(f x +e \right)^{2}}{f}+\frac{2 d c a \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}+\frac{d^{2} e^{2} a \left(f x +e \right)}{f^{2}}+\frac{d^{2} e^{2} a \sinh \left(f x +e \right)}{f^{2}}-\frac{2 d e c a \left(f x +e \right)}{f}-\frac{2 d e c a \sinh \left(f x +e \right)}{f}+a \,c^{2} \left(f x +e \right)+a \,c^{2} \sinh \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*a*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))-1/f^2*d^2*e*a*(f*x+e)^2-2/f^2*d^2*e*a*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+1/f*d*c*a*(f*x+e)^2+2/f*d*c*a*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+d^2*e^2/f^2*a*(f*x+e)+d^2*e^2/f^2*a*sinh(f*x+e)-2*d*e/f*c*a*(f*x+e)-2*d*e/f*c*a*sinh(f*x+e)+a*c^2*(f*x+e)+a*c^2*sinh(f*x+e))","B"
101,1,91,43,0.069000," ","int((d*x+c)*(a+a*cosh(f*x+e)),x)","\frac{\frac{d a \left(f x +e \right)^{2}}{2 f}+\frac{d a \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}-\frac{d e a \left(f x +e \right)}{f}-\frac{d e a \sinh \left(f x +e \right)}{f}+c a \left(f x +e \right)+a c \sinh \left(f x +e \right)}{f}"," ",0,"1/f*(1/2/f*d*a*(f*x+e)^2+1/f*d*a*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))-d*e/f*a*(f*x+e)-d*e/f*a*sinh(f*x+e)+c*a*(f*x+e)+a*c*sinh(f*x+e))","B"
102,1,94,67,0.139000," ","int((a+a*cosh(f*x+e))/(d*x+c),x)","\frac{a \ln \left(d x +c \right)}{d}-\frac{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{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*a/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*a/d*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","A"
103,1,149,90,0.141000," ","int((a+a*cosh(f*x+e))/(d*x+c)^2,x)","-\frac{a}{d \left(d x +c \right)}-\frac{f a \,{\mathrm e}^{-f x -e}}{2 d \left(d f x +c f \right)}+\frac{f a \,{\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{a f \,{\mathrm e}^{f x +e}}{2 d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{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*f*a*exp(-f*x-e)/d/(d*f*x+c*f)+1/2*f*a/d^2*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*a*f/d^2*exp(f*x+e)/(c*f/d+f*x)-1/2*a*f/d^2*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","A"
104,1,296,115,0.147000," ","int((a+a*cosh(f*x+e))/(d*x+c)^3,x)","-\frac{a}{2 d \left(d x +c \right)^{2}}+\frac{f^{3} a \,{\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} a \,{\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} a \,{\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} a \,{\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} a \,{\mathrm e}^{f x +e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{f^{2} a \,{\mathrm e}^{f x +e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{f^{2} a \,{\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*a*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*a*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*a*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*a/d^3*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/4*f^2*a/d^3*exp(f*x+e)/(c*f/d+f*x)^2-1/4*f^2*a/d^3*exp(f*x+e)/(c*f/d+f*x)-1/4*f^2*a/d^3*exp(-(c*f-d*e)/d)*Ei(1,-f*x-e-(c*f-d*e)/d)","B"
105,1,1071,223,0.077000," ","int((d*x+c)^3*(a+a*cosh(f*x+e))^2,x)","\frac{\frac{d^{3} a^{2} \left(f x +e \right)^{4}}{4 f^{3}}+\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{2 d^{3} a^{2} \left(\left(f x +e \right)^{3} \sinh \left(f x +e \right)-3 \left(f x +e \right)^{2} \cosh \left(f x +e \right)+6 \left(f x +e \right) \sinh \left(f x +e \right)-6 \cosh \left(f x +e \right)\right)}{f^{3}}+c^{3} a^{2} \left(f x +e \right)+2 c^{3} a^{2} \sinh \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{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 \,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 c^{2} d e \,a^{2} \sinh \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{6 c \,d^{2} e^{2} a^{2} \sinh \left(f x +e \right)}{f^{2}}+\frac{3 c \,d^{2} e^{2} a^{2} \left(f x +e \right)}{f^{2}}-\frac{3 c \,d^{2} e \,a^{2} \left(f x +e \right)^{2}}{f^{2}}-\frac{12 c \,d^{2} e \,a^{2} \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{2}}-\frac{3 c^{2} d e \,a^{2} \left(f x +e \right)}{f}+\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 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 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}+\frac{c \,d^{2} a^{2} \left(f x +e \right)^{3}}{f^{2}}+\frac{6 c \,d^{2} a^{2} \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{2}}-\frac{6 d^{3} e \,a^{2} \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{3}}+\frac{6 d^{3} e^{2} a^{2} \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{3}}+\frac{6 c^{2} d \,a^{2} \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}-\frac{d^{3} e^{3} a^{2} \left(f x +e \right)}{f^{3}}+\frac{3 d^{3} e^{2} a^{2} \left(f x +e \right)^{2}}{2 f^{3}}+\frac{3 c^{2} d \,a^{2} \left(f x +e \right)^{2}}{2 f}-\frac{d^{3} e \,a^{2} \left(f x +e \right)^{3}}{f^{3}}-\frac{2 d^{3} e^{3} a^{2} \sinh \left(f x +e \right)}{f^{3}}-\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}}}{f}"," ",0,"1/f*(1/4/f^3*d^3*a^2*(f*x+e)^4+2/f^3*d^3*a^2*((f*x+e)^3*sinh(f*x+e)-3*(f*x+e)^2*cosh(f*x+e)+6*(f*x+e)*sinh(f*x+e)-6*cosh(f*x+e))+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)+c^3*a^2*(f*x+e)+2*c^3*a^2*sinh(f*x+e)+c^3*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+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)-6/f*c^2*d*e*a^2*sinh(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)+6/f^2*c*d^2*e^2*a^2*sinh(f*x+e)+3/f^2*c*d^2*e^2*a^2*(f*x+e)-3/f^2*c*d^2*e*a^2*(f*x+e)^2-6/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)-12/f^2*c*d^2*e*a^2*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))-3/f*c^2*d*e*a^2*(f*x+e)+1/f^2*c*d^2*a^2*(f*x+e)^3+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)+6/f^2*c*d^2*a^2*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))-6/f^3*d^3*e*a^2*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))+6/f^3*d^3*e^2*a^2*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+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^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)+6/f*c^2*d*a^2*((f*x+e)*sinh(f*x+e)-cosh(f*x+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*(f*x+e)+3/2/f^3*d^3*e^2*a^2*(f*x+e)^2+3/2/f*c^2*d*a^2*(f*x+e)^2-1/f^3*d^3*e*a^2*(f*x+e)^3-2/f^3*d^3*e^3*a^2*sinh(f*x+e)-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))","B"
106,1,541,158,0.079000," ","int((d*x+c)^2*(a+a*cosh(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^{2} \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\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{4 d^{2} e \,a^{2} \left(\left(f x +e \right) \sinh \left(f x +e \right)-\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{2 d^{2} e^{2} a^{2} \sinh \left(f x +e \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 c d \,a^{2} \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\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 c d e \,a^{2} \sinh \left(f x +e \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 c^{2} a^{2} \sinh \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/f^2*d^2*a^2*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(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)^2-4/f^2*d^2*e*a^2*((f*x+e)*sinh(f*x+e)-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)+2/f^2*d^2*e^2*a^2*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/f*c*d*a^2*((f*x+e)*sinh(f*x+e)-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/f*c*d*e*a^2*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*c^2*a^2*sinh(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"
107,1,211,108,0.074000," ","int((d*x+c)*(a+a*cosh(f*x+e))^2,x)","\frac{\frac{d \,a^{2} \left(f x +e \right)^{2}}{2 f}+\frac{2 d \,a^{2} \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \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 d e \,a^{2} \sinh \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 c \,a^{2} \sinh \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/f*d*a^2*((f*x+e)*sinh(f*x+e)-cosh(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*d*e/f*a^2*sinh(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*c*a^2*sinh(f*x+e)+c*a^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","A"
108,1,191,141,0.367000," ","int((a+a*cosh(f*x+e))^2/(d*x+c),x)","-\frac{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{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}"," ",0,"-a^2/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-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)","A"
109,1,308,156,0.375000," ","int((a+a*cosh(f*x+e))^2/(d*x+c)^2,x)","-\frac{f \,a^{2} {\mathrm e}^{-f x -e}}{d \left(d f x +c f \right)}+\frac{f \,a^{2} {\mathrm e}^{\frac{c f -d e}{d}} \Ei \left(1, f x +e +\frac{c f -d e}{d}\right)}{d^{2}}-\frac{f \,a^{2} {\mathrm e}^{f x +e}}{d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{f \,a^{2} {\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}}"," ",0,"-f*a^2*exp(-f*x-e)/d/(d*f*x+c*f)+f*a^2/d^2*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-f*a^2/d^2*exp(f*x+e)/(c*f/d+f*x)-f*a^2/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)","A"
110,1,618,199,0.391000," ","int((a+a*cosh(f*x+e))^2/(d*x+c)^3,x)","\frac{f^{3} a^{2} {\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^{2} {\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^{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{f^{2} a^{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{a^{2} f^{2} {\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{a^{2} f^{2} {\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{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}}"," ",0,"1/2*f^3*a^2*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^2*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^2*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^2/d^3*exp((c*f-d*e)/d)*Ei(1,f*x+e+(c*f-d*e)/d)-1/2*a^2*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)^2-1/2*a^2*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)-1/2*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)","B"
111,1,325,110,0.244000," ","int((d*x+c)^3/(a+a*cosh(f*x+e)),x)","-\frac{2 \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}+1\right)}-\frac{6 d \,c^{2} \ln \left({\mathrm e}^{f x +e}+1\right)}{a \,f^{2}}+\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{2 d^{3} x^{3}}{a f}-\frac{6 d^{3} e^{2} x}{a \,f^{3}}-\frac{4 d^{3} e^{3}}{a \,f^{4}}-\frac{6 d^{3} \ln \left({\mathrm e}^{f x +e}+1\right) x^{2}}{a \,f^{2}}-\frac{12 d^{3} \polylog \left(2, -{\mathrm e}^{f x +e}\right) x}{a \,f^{3}}+\frac{12 d^{3} \polylog \left(3, -{\mathrm e}^{f x +e}\right)}{a \,f^{4}}-\frac{12 d^{2} c e \ln \left({\mathrm e}^{f x +e}\right)}{a \,f^{3}}+\frac{6 d^{2} c \,x^{2}}{a f}+\frac{12 d^{2} c e x}{a \,f^{2}}+\frac{6 d^{2} c \,e^{2}}{a \,f^{3}}-\frac{12 d^{2} c \ln \left({\mathrm e}^{f x +e}+1\right) x}{a \,f^{2}}-\frac{12 d^{2} c \polylog \left(2, -{\mathrm e}^{f x +e}\right)}{a \,f^{3}}"," ",0,"-2/f*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/a/(exp(f*x+e)+1)-6/a/f^2*d*c^2*ln(exp(f*x+e)+1)+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))+2/a/f*d^3*x^3-6/a/f^3*d^3*e^2*x-4/a/f^4*d^3*e^3-6/a/f^2*d^3*ln(exp(f*x+e)+1)*x^2-12/a/f^3*d^3*polylog(2,-exp(f*x+e))*x+12*d^3*polylog(3,-exp(f*x+e))/a/f^4-12/a/f^3*d^2*c*e*ln(exp(f*x+e))+6/a/f*d^2*c*x^2+12/a/f^2*d^2*c*e*x+6/a/f^3*d^2*c*e^2-12/a/f^2*d^2*c*ln(exp(f*x+e)+1)*x-12/a/f^3*d^2*c*polylog(2,-exp(f*x+e))","B"
112,1,174,82,0.213000," ","int((d*x+c)^2/(a+a*cosh(f*x+e)),x)","-\frac{2 \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{f a \left({\mathrm e}^{f x +e}+1\right)}-\frac{4 d c \ln \left({\mathrm e}^{f x +e}+1\right)}{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({\mathrm e}^{f x +e}+1\right) x}{a \,f^{2}}-\frac{4 d^{2} \polylog \left(2, -{\mathrm e}^{f x +e}\right)}{a \,f^{3}}-\frac{4 d^{2} e \ln \left({\mathrm e}^{f x +e}\right)}{a \,f^{3}}"," ",0,"-2/f*(d^2*x^2+2*c*d*x+c^2)/a/(exp(f*x+e)+1)-4/a/f^2*d*c*ln(exp(f*x+e)+1)+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(exp(f*x+e)+1)*x-4*d^2*polylog(2,-exp(f*x+e))/a/f^3-4/a/f^3*d^2*e*ln(exp(f*x+e))","B"
113,1,63,41,0.129000," ","int((d*x+c)/(a+a*cosh(f*x+e)),x)","\frac{2 d x}{a f}+\frac{2 d e}{a \,f^{2}}-\frac{2 \left(d x +c \right)}{f a \left({\mathrm e}^{f x +e}+1\right)}-\frac{2 d \ln \left({\mathrm e}^{f x +e}+1\right)}{a \,f^{2}}"," ",0,"2*d/a/f*x+2*d/a/f^2*e-2/f*(d*x+c)/a/(exp(f*x+e)+1)-2*d/a/f^2*ln(exp(f*x+e)+1)","A"
114,0,0,22,0.201000," ","int(1/(d*x+c)/(a+a*cosh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right) \left(a +a \cosh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)/(a+a*cosh(f*x+e)),x)","F"
115,0,0,22,0.221000," ","int(1/(d*x+c)^2/(a+a*cosh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +a \cosh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)^2/(a+a*cosh(f*x+e)),x)","F"
116,1,600,220,0.295000," ","int((d*x+c)^3/(a+a*cosh(f*x+e))^2,x)","-\frac{2 \left(3 f^{2} d^{3} x^{3} {\mathrm e}^{f x +e}+9 f^{2} c \,d^{2} x^{2} {\mathrm e}^{f x +e}+d^{3} f^{2} x^{3}-3 d^{3} f \,x^{2} {\mathrm e}^{2 f x +2 e}+9 f^{2} c^{2} d x \,{\mathrm e}^{f x +e}+3 c \,d^{2} f^{2} x^{2}-6 c \,d^{2} f x \,{\mathrm e}^{2 f x +2 e}-3 f \,d^{3} x^{2} {\mathrm e}^{f x +e}+3 f^{2} c^{3} {\mathrm e}^{f x +e}+3 c^{2} d \,f^{2} x -3 c^{2} d f \,{\mathrm e}^{2 f x +2 e}-6 f c \,d^{2} x \,{\mathrm e}^{f x +e}-6 d^{3} x \,{\mathrm e}^{2 f x +2 e}+c^{3} f^{2}-3 f \,c^{2} d \,{\mathrm e}^{f x +e}-6 c \,d^{2} {\mathrm e}^{2 f x +2 e}-12 d^{3} x \,{\mathrm e}^{f x +e}-12 c \,d^{2} {\mathrm e}^{f x +e}-6 d^{3} x -6 c \,d^{2}\right)}{3 f^{3} a^{2} \left({\mathrm e}^{f x +e}+1\right)^{3}}-\frac{4 d^{2} \ln \left({\mathrm e}^{f x +e}+1\right) c x}{a^{2} f^{2}}-\frac{4 d^{3} e^{3}}{3 a^{2} f^{4}}-\frac{2 d^{3} \ln \left({\mathrm e}^{f x +e}+1\right) x^{2}}{a^{2} f^{2}}-\frac{4 d^{3} \polylog \left(2, -{\mathrm e}^{f x +e}\right) x}{a^{2} f^{3}}+\frac{2 d^{3} x^{3}}{3 a^{2} f}-\frac{2 d \,c^{2} \ln \left({\mathrm e}^{f x +e}+1\right)}{a^{2} f^{2}}+\frac{2 d \,c^{2} \ln \left({\mathrm e}^{f x +e}\right)}{a^{2} f^{2}}+\frac{2 d^{3} e^{2} \ln \left({\mathrm e}^{f x +e}\right)}{a^{2} f^{4}}-\frac{4 d^{2} c \polylog \left(2, -{\mathrm e}^{f x +e}\right)}{a^{2} f^{3}}-\frac{4 d^{2} c e \ln \left({\mathrm e}^{f x +e}\right)}{a^{2} f^{3}}+\frac{4 d^{2} c e x}{a^{2} f^{2}}+\frac{4 d^{3} \polylog \left(3, -{\mathrm e}^{f x +e}\right)}{a^{2} f^{4}}+\frac{4 d^{3} \ln \left({\mathrm e}^{f x +e}+1\right)}{a^{2} f^{4}}-\frac{4 d^{3} \ln \left({\mathrm e}^{f x +e}\right)}{a^{2} f^{4}}-\frac{2 d^{3} e^{2} x}{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}}"," ",0,"-2/3*(3*f^2*d^3*x^3*exp(f*x+e)+9*f^2*c*d^2*x^2*exp(f*x+e)+d^3*f^2*x^3-3*d^3*f*x^2*exp(2*f*x+2*e)+9*f^2*c^2*d*x*exp(f*x+e)+3*c*d^2*f^2*x^2-6*c*d^2*f*x*exp(2*f*x+2*e)-3*f*d^3*x^2*exp(f*x+e)+3*f^2*c^3*exp(f*x+e)+3*c^2*d*f^2*x-3*c^2*d*f*exp(2*f*x+2*e)-6*f*c*d^2*x*exp(f*x+e)-6*d^3*x*exp(2*f*x+2*e)+c^3*f^2-3*f*c^2*d*exp(f*x+e)-6*c*d^2*exp(2*f*x+2*e)-12*d^3*x*exp(f*x+e)-12*c*d^2*exp(f*x+e)-6*d^3*x-6*c*d^2)/f^3/a^2/(exp(f*x+e)+1)^3-4/a^2/f^2*d^2*ln(exp(f*x+e)+1)*c*x-4/3/a^2/f^4*d^3*e^3-2/a^2/f^2*d^3*ln(exp(f*x+e)+1)*x^2-4/a^2/f^3*d^3*polylog(2,-exp(f*x+e))*x+2/3/a^2/f*d^3*x^3-2/a^2/f^2*d*c^2*ln(exp(f*x+e)+1)+2/a^2/f^2*d*c^2*ln(exp(f*x+e))+2/a^2/f^4*d^3*e^2*ln(exp(f*x+e))-4/a^2/f^3*d^2*c*polylog(2,-exp(f*x+e))-4/a^2/f^3*d^2*c*e*ln(exp(f*x+e))+4/a^2/f^2*d^2*c*e*x+4*d^3*polylog(3,-exp(f*x+e))/a^2/f^4+4/a^2/f^4*d^3*ln(exp(f*x+e)+1)-4/a^2/f^4*d^3*ln(exp(f*x+e))-2/a^2/f^3*d^3*e^2*x+2/a^2/f*d^2*c*x^2+2/a^2/f^3*d^2*c*e^2","B"
117,1,313,164,0.236000," ","int((d*x+c)^2/(a+a*cosh(f*x+e))^2,x)","-\frac{2 \left(3 f^{2} d^{2} x^{2} {\mathrm e}^{f x +e}+6 f^{2} c d x \,{\mathrm e}^{f x +e}+d^{2} f^{2} x^{2}-2 d^{2} f x \,{\mathrm e}^{2 f x +2 e}+3 f^{2} c^{2} {\mathrm e}^{f x +e}+2 c d \,f^{2} x -2 c d f \,{\mathrm e}^{2 f x +2 e}-2 f \,d^{2} x \,{\mathrm e}^{f x +e}+c^{2} f^{2}-2 f c d \,{\mathrm e}^{f x +e}-2 d^{2} {\mathrm e}^{2 f x +2 e}-4 d^{2} {\mathrm e}^{f x +e}-2 d^{2}\right)}{3 f^{3} a^{2} \left({\mathrm e}^{f x +e}+1\right)^{3}}-\frac{4 d c \ln \left({\mathrm e}^{f x +e}+1\right)}{3 a^{2} f^{2}}+\frac{4 d c \ln \left({\mathrm e}^{f x +e}\right)}{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({\mathrm e}^{f x +e}+1\right) x}{3 a^{2} f^{2}}-\frac{4 d^{2} \polylog \left(2, -{\mathrm e}^{f x +e}\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*(3*f^2*d^2*x^2*exp(f*x+e)+6*f^2*c*d*x*exp(f*x+e)+d^2*f^2*x^2-2*d^2*f*x*exp(2*f*x+2*e)+3*f^2*c^2*exp(f*x+e)+2*c*d*f^2*x-2*c*d*f*exp(2*f*x+2*e)-2*f*d^2*x*exp(f*x+e)+c^2*f^2-2*f*c*d*exp(f*x+e)-2*d^2*exp(2*f*x+2*e)-4*d^2*exp(f*x+e)-2*d^2)/f^3/a^2/(exp(f*x+e)+1)^3-4/3/a^2*d/f^2*c*ln(exp(f*x+e)+1)+4/3/a^2*d/f^2*c*ln(exp(f*x+e))+2/3/a^2*d^2/f*x^2+4/3/a^2*d^2/f^2*e*x+2/3/a^2*d^2/f^3*e^2-4/3/a^2*d^2/f^2*ln(exp(f*x+e)+1)*x-4/3*d^2*polylog(2,-exp(f*x+e))/a^2/f^3-4/3/a^2*d^2/f^3*e*ln(exp(f*x+e))","A"
118,1,108,95,0.205000," ","int((d*x+c)/(a+a*cosh(f*x+e))^2,x)","\frac{2 d x}{3 f \,a^{2}}+\frac{2 d e}{3 f^{2} a^{2}}-\frac{2 \left(3 d f x \,{\mathrm e}^{f x +e}+3 c f \,{\mathrm e}^{f x +e}+d f x -{\mathrm e}^{2 f x +2 e} d +c f -d \,{\mathrm e}^{f x +e}\right)}{3 f^{2} a^{2} \left({\mathrm e}^{f x +e}+1\right)^{3}}-\frac{2 d \ln \left({\mathrm e}^{f x +e}+1\right)}{3 a^{2} f^{2}}"," ",0,"2/3*d/f/a^2*x+2/3*d/f^2/a^2*e-2/3*(3*d*f*x*exp(f*x+e)+3*c*f*exp(f*x+e)+d*f*x-exp(2*f*x+2*e)*d+c*f-d*exp(f*x+e))/f^2/a^2/(exp(f*x+e)+1)^3-2/3*d/a^2/f^2*ln(exp(f*x+e)+1)","A"
119,0,0,22,0.655000," ","int(1/(d*x+c)/(a+a*cosh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right) \left(a +a \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)/(a+a*cosh(f*x+e))^2,x)","F"
120,0,0,22,0.808000," ","int(1/(d*x+c)^2/(a+a*cosh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +a \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)^2/(a+a*cosh(f*x+e))^2,x)","F"
121,1,108,94,0.139000," ","int(x^3*(a+a*cosh(d*x+c))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{a \left({\mathrm e}^{d x +c}+1\right)^{2} {\mathrm e}^{-d x -c}}\, \left(d^{3} x^{3} {\mathrm e}^{d x +c}-d^{3} x^{3}-6 d^{2} x^{2} {\mathrm e}^{d x +c}-6 d^{2} x^{2}+24 d x \,{\mathrm e}^{d x +c}-24 d x -48 \,{\mathrm e}^{d x +c}-48\right)}{\left({\mathrm e}^{d x +c}+1\right) d^{4}}"," ",0,"2^(1/2)*(a*(exp(d*x+c)+1)^2*exp(-d*x-c))^(1/2)/(exp(d*x+c)+1)*(d^3*x^3*exp(d*x+c)-d^3*x^3-6*d^2*x^2*exp(d*x+c)-6*d^2*x^2+24*d*x*exp(d*x+c)-24*d*x-48*exp(d*x+c)-48)/d^4","A"
122,1,86,74,0.094000," ","int(x^2*(a+a*cosh(d*x+c))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{a \left({\mathrm e}^{d x +c}+1\right)^{2} {\mathrm e}^{-d x -c}}\, \left(d^{2} x^{2} {\mathrm e}^{d x +c}-d^{2} x^{2}-4 d x \,{\mathrm e}^{d x +c}-4 d x +8 \,{\mathrm e}^{d x +c}-8\right)}{\left({\mathrm e}^{d x +c}+1\right) d^{3}}"," ",0,"2^(1/2)*(a*(exp(d*x+c)+1)^2*exp(-d*x-c))^(1/2)/(exp(d*x+c)+1)*(d^2*x^2*exp(d*x+c)-d^2*x^2-4*d*x*exp(d*x+c)-4*d*x+8*exp(d*x+c)-8)/d^3","A"
123,1,64,45,0.097000," ","int(x*(a+a*cosh(d*x+c))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{a \left({\mathrm e}^{d x +c}+1\right)^{2} {\mathrm e}^{-d x -c}}\, \left(d x \,{\mathrm e}^{d x +c}-d x -2 \,{\mathrm e}^{d x +c}-2\right)}{\left({\mathrm e}^{d x +c}+1\right) d^{2}}"," ",0,"2^(1/2)*(a*(exp(d*x+c)+1)^2*exp(-d*x-c))^(1/2)/(exp(d*x+c)+1)*(d*x*exp(d*x+c)-d*x-2*exp(d*x+c)-2)/d^2","A"
124,0,0,63,0.126000," ","int((a+a*cosh(d*x+c))^(1/2)/x,x)","\int \frac{\sqrt{a +a \cosh \left(d x +c \right)}}{x}\, dx"," ",0,"int((a+a*cosh(d*x+c))^(1/2)/x,x)","F"
125,0,0,84,0.138000," ","int((a+a*cosh(d*x+c))^(1/2)/x^2,x)","\int \frac{\sqrt{a +a \cosh \left(d x +c \right)}}{x^{2}}\, dx"," ",0,"int((a+a*cosh(d*x+c))^(1/2)/x^2,x)","F"
126,0,0,115,0.099000," ","int((a+a*cosh(d*x+c))^(1/2)/x^3,x)","\int \frac{\sqrt{a +a \cosh \left(d x +c \right)}}{x^{3}}\, dx"," ",0,"int((a+a*cosh(d*x+c))^(1/2)/x^3,x)","F"
127,1,62,56,0.098000," ","int(x^3*(a+a*cosh(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{a \left({\mathrm e}^{x}+1\right)^{2} {\mathrm e}^{-x}}\, \left(x^{3} {\mathrm e}^{x}-x^{3}-6 x^{2} {\mathrm e}^{x}-6 x^{2}+24 x \,{\mathrm e}^{x}-24 x -48 \,{\mathrm e}^{x}-48\right)}{{\mathrm e}^{x}+1}"," ",0,"2^(1/2)*(a*(exp(x)+1)^2*exp(-x))^(1/2)/(exp(x)+1)*(x^3*exp(x)-x^3-6*x^2*exp(x)-6*x^2+24*x*exp(x)-24*x-48*exp(x)-48)","A"
128,1,50,43,0.085000," ","int(x^2*(a+a*cosh(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{a \left({\mathrm e}^{x}+1\right)^{2} {\mathrm e}^{-x}}\, \left(x^{2} {\mathrm e}^{x}-x^{2}-4 x \,{\mathrm e}^{x}-4 x +8 \,{\mathrm e}^{x}-8\right)}{{\mathrm e}^{x}+1}"," ",0,"2^(1/2)*(a*(exp(x)+1)^2*exp(-x))^(1/2)/(exp(x)+1)*(x^2*exp(x)-x^2-4*x*exp(x)-4*x+8*exp(x)-8)","A"
129,1,38,26,0.084000," ","int(x*(a+a*cosh(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{a \left({\mathrm e}^{x}+1\right)^{2} {\mathrm e}^{-x}}\, \left(x \,{\mathrm e}^{x}-x -2 \,{\mathrm e}^{x}-2\right)}{{\mathrm e}^{x}+1}"," ",0,"2^(1/2)*(a*(exp(x)+1)^2*exp(-x))^(1/2)/(exp(x)+1)*(x*exp(x)-x-2*exp(x)-2)","A"
130,0,0,17,0.108000," ","int((a+a*cosh(x))^(1/2)/x,x)","\int \frac{\sqrt{a +a \cosh \left(x \right)}}{x}\, dx"," ",0,"int((a+a*cosh(x))^(1/2)/x,x)","F"
131,0,0,32,0.088000," ","int((a+a*cosh(x))^(1/2)/x^2,x)","\int \frac{\sqrt{a +a \cosh \left(x \right)}}{x^{2}}\, dx"," ",0,"int((a+a*cosh(x))^(1/2)/x^2,x)","F"
132,0,0,49,0.092000," ","int((a+a*cosh(x))^(1/2)/x^3,x)","\int \frac{\sqrt{a +a \cosh \left(x \right)}}{x^{3}}\, dx"," ",0,"int((a+a*cosh(x))^(1/2)/x^3,x)","F"
133,0,0,139,0.069000," ","int(x^3*(a+a*cosh(x))^(3/2),x)","\int x^{3} \left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^3*(a+a*cosh(x))^(3/2),x)","F"
134,0,0,107,0.069000," ","int(x^2*(a+a*cosh(x))^(3/2),x)","\int x^{2} \left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*(a+a*cosh(x))^(3/2),x)","F"
135,0,0,65,0.069000," ","int(x*(a+a*cosh(x))^(3/2),x)","\int x \left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x*(a+a*cosh(x))^(3/2),x)","F"
136,0,0,39,0.072000," ","int((a+a*cosh(x))^(3/2)/x,x)","\int \frac{\left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int((a+a*cosh(x))^(3/2)/x,x)","F"
137,0,0,59,0.068000," ","int((a+a*cosh(x))^(3/2)/x^2,x)","\int \frac{\left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int((a+a*cosh(x))^(3/2)/x^2,x)","F"
138,0,0,81,0.076000," ","int((a+a*cosh(x))^(3/2)/x^3,x)","\int \frac{\left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"int((a+a*cosh(x))^(3/2)/x^3,x)","F"
139,0,0,294,0.100000," ","int(x^3/(a+a*cosh(d*x+c))^(1/2),x)","\int \frac{x^{3}}{\sqrt{a +a \cosh \left(d x +c \right)}}\, dx"," ",0,"int(x^3/(a+a*cosh(d*x+c))^(1/2),x)","F"
140,0,0,206,0.099000," ","int(x^2/(a+a*cosh(d*x+c))^(1/2),x)","\int \frac{x^{2}}{\sqrt{a +a \cosh \left(d x +c \right)}}\, dx"," ",0,"int(x^2/(a+a*cosh(d*x+c))^(1/2),x)","F"
141,0,0,120,0.093000," ","int(x/(a+a*cosh(d*x+c))^(1/2),x)","\int \frac{x}{\sqrt{a +a \cosh \left(d x +c \right)}}\, dx"," ",0,"int(x/(a+a*cosh(d*x+c))^(1/2),x)","F"
142,0,0,18,0.093000," ","int(1/x/(a+a*cosh(d*x+c))^(1/2),x)","\int \frac{1}{x \sqrt{a +a \cosh \left(d x +c \right)}}\, dx"," ",0,"int(1/x/(a+a*cosh(d*x+c))^(1/2),x)","F"
143,0,0,18,0.096000," ","int(1/x^2/(a+a*cosh(d*x+c))^(1/2),x)","\int \frac{1}{x^{2} \sqrt{a +a \cosh \left(d x +c \right)}}\, dx"," ",0,"int(1/x^2/(a+a*cosh(d*x+c))^(1/2),x)","F"
144,0,0,308,0.069000," ","int(x^3/(a+a*cosh(x))^(3/2),x)","\int \frac{x^{3}}{\left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3/(a+a*cosh(x))^(3/2),x)","F"
145,0,0,191,0.072000," ","int(x^2/(a+a*cosh(x))^(3/2),x)","\int \frac{x^{2}}{\left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/(a+a*cosh(x))^(3/2),x)","F"
146,0,0,107,0.069000," ","int(x/(a+a*cosh(x))^(3/2),x)","\int \frac{x}{\left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x/(a+a*cosh(x))^(3/2),x)","F"
147,0,0,14,0.072000," ","int(1/x/(a+a*cosh(x))^(3/2),x)","\int \frac{1}{x \left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/(a+a*cosh(x))^(3/2),x)","F"
148,0,0,14,0.070000," ","int(1/x^2/(a+a*cosh(x))^(3/2),x)","\int \frac{1}{x^{2} \left(a +a \cosh \left(x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x^2/(a+a*cosh(x))^(3/2),x)","F"
149,0,0,18,0.105000," ","int((a+a*cosh(d*x+c))^(1/3)/x,x)","\int \frac{\left(a +a \cosh \left(d x +c \right)\right)^{\frac{1}{3}}}{x}\, dx"," ",0,"int((a+a*cosh(d*x+c))^(1/3)/x,x)","F"
150,0,0,22,0.171000," ","int((d*x+c)^m*(a+a*cosh(f*x+e))^n,x)","\int \left(d x +c \right)^{m} \left(a +a \cosh \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((d*x+c)^m*(a+a*cosh(f*x+e))^n,x)","F"
151,0,0,386,0.287000," ","int((d*x+c)^m*(a+a*cosh(f*x+e))^3,x)","\int \left(d x +c \right)^{m} \left(a +a \cosh \left(f x +e \right)\right)^{3}\, dx"," ",0,"int((d*x+c)^m*(a+a*cosh(f*x+e))^3,x)","F"
152,0,0,257,0.317000," ","int((d*x+c)^m*(a+a*cosh(f*x+e))^2,x)","\int \left(d x +c \right)^{m} \left(a +a \cosh \left(f x +e \right)\right)^{2}\, dx"," ",0,"int((d*x+c)^m*(a+a*cosh(f*x+e))^2,x)","F"
153,0,0,125,0.148000," ","int((d*x+c)^m*(a+a*cosh(f*x+e)),x)","\int \left(d x +c \right)^{m} \left(a +a \cosh \left(f x +e \right)\right)\, dx"," ",0,"int((d*x+c)^m*(a+a*cosh(f*x+e)),x)","F"
154,0,0,22,0.147000," ","int((d*x+c)^m/(a+a*cosh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{m}}{a +a \cosh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^m/(a+a*cosh(f*x+e)),x)","F"
155,0,0,22,0.189000," ","int((d*x+c)^m/(a+a*cosh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +a \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(a+a*cosh(f*x+e))^2,x)","F"
156,1,482,87,0.066000," ","int((d*x+c)^3*(a+b*cosh(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} \sinh \left(f x +e \right)-3 \left(f x +e \right)^{2} \cosh \left(f x +e \right)+6 \left(f x +e \right) \sinh \left(f x +e \right)-6 \cosh \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} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{3}}+\frac{d^{2} c a \left(f x +e \right)^{3}}{f^{2}}+\frac{3 d^{2} c b \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{2}}+\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) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{3}}-\frac{3 d^{2} e c a \left(f x +e \right)^{2}}{f^{2}}-\frac{6 d^{2} e c b \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{2}}+\frac{3 d \,c^{2} a \left(f x +e \right)^{2}}{2 f}+\frac{3 d \,c^{2} b \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}-\frac{d^{3} e^{3} a \left(f x +e \right)}{f^{3}}-\frac{d^{3} e^{3} b \sinh \left(f x +e \right)}{f^{3}}+\frac{3 d^{2} e^{2} c a \left(f x +e \right)}{f^{2}}+\frac{3 d^{2} e^{2} c b \sinh \left(f x +e \right)}{f^{2}}-\frac{3 d e \,c^{2} a \left(f x +e \right)}{f}-\frac{3 d e \,c^{2} b \sinh \left(f x +e \right)}{f}+c^{3} a \left(f x +e \right)+b \,c^{3} \sinh \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*sinh(f*x+e)-3*(f*x+e)^2*cosh(f*x+e)+6*(f*x+e)*sinh(f*x+e)-6*cosh(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*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))+1/f^2*d^2*c*a*(f*x+e)^3+3/f^2*d^2*c*b*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(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)*sinh(f*x+e)-cosh(f*x+e))-3/f^2*d^2*e*c*a*(f*x+e)^2-6/f^2*d^2*e*c*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+3/2/f*d*c^2*a*(f*x+e)^2+3/f*d*c^2*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))-d^3*e^3/f^3*a*(f*x+e)-d^3*e^3/f^3*b*sinh(f*x+e)+3*d^2*e^2/f^2*c*a*(f*x+e)+3*d^2*e^2/f^2*c*b*sinh(f*x+e)-3*d*e/f*c^2*a*(f*x+e)-3*d*e/f*c^2*b*sinh(f*x+e)+c^3*a*(f*x+e)+b*c^3*sinh(f*x+e))","B"
157,1,240,65,0.059000," ","int((d*x+c)^2*(a+b*cosh(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} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \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) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{2}}+\frac{d c a \left(f x +e \right)^{2}}{f}+\frac{2 d c b \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}+\frac{d^{2} e^{2} a \left(f x +e \right)}{f^{2}}+\frac{d^{2} e^{2} b \sinh \left(f x +e \right)}{f^{2}}-\frac{2 d e c a \left(f x +e \right)}{f}-\frac{2 d e c b \sinh \left(f x +e \right)}{f}+a \,c^{2} \left(f x +e \right)+b \,c^{2} \sinh \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*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))-1/f^2*d^2*e*a*(f*x+e)^2-2/f^2*d^2*e*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+1/f*d*c*a*(f*x+e)^2+2/f*d*c*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+d^2*e^2/f^2*a*(f*x+e)+d^2*e^2/f^2*b*sinh(f*x+e)-2*d*e/f*c*a*(f*x+e)-2*d*e/f*c*b*sinh(f*x+e)+a*c^2*(f*x+e)+b*c^2*sinh(f*x+e))","B"
158,1,91,43,0.054000," ","int((d*x+c)*(a+b*cosh(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) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}-\frac{d e a \left(f x +e \right)}{f}-\frac{d e b \sinh \left(f x +e \right)}{f}+c a \left(f x +e \right)+c b \sinh \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)*sinh(f*x+e)-cosh(f*x+e))-d*e/f*a*(f*x+e)-d*e/f*b*sinh(f*x+e)+c*a*(f*x+e)+c*b*sinh(f*x+e))","B"
159,1,94,67,0.101000," ","int((a+b*cosh(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"
160,1,149,90,0.114000," ","int((a+b*cosh(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"
161,1,296,115,0.119000," ","int((a+b*cosh(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"
162,1,1061,234,0.081000," ","int((d*x+c)^3*(a+b*cosh(f*x+e))^2,x)","\frac{-\frac{12 c \,d^{2} e a b \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{2}}-\frac{6 c^{2} d e a b \sinh \left(f x +e \right)}{f}+\frac{6 c \,d^{2} e^{2} a b \sinh \left(f x +e \right)}{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}}+\frac{d^{3} a^{2} \left(f x +e \right)^{4}}{4 f^{3}}+2 c^{3} a b \sinh \left(f x +e \right)-\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{6 c \,d^{2} a b \left(\left(f x +e \right)^{2} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{2}}-\frac{2 d^{3} e^{3} a b \sinh \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}}+b^{2} c^{3} \left(\frac{\cosh \left(f x +e \right) \sinh \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+c^{3} a^{2} \left(f x +e \right)+\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 \,d^{2} e^{2} a^{2} \left(f x +e \right)}{f^{2}}-\frac{3 c \,d^{2} e \,a^{2} \left(f x +e \right)^{2}}{f^{2}}-\frac{3 c^{2} d e \,a^{2} \left(f x +e \right)}{f}+\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{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 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{c \,d^{2} a^{2} \left(f x +e \right)^{3}}{f^{2}}+\frac{2 d^{3} a b \left(\left(f x +e \right)^{3} \sinh \left(f x +e \right)-3 \left(f x +e \right)^{2} \cosh \left(f x +e \right)+6 \left(f x +e \right) \sinh \left(f x +e \right)-6 \cosh \left(f x +e \right)\right)}{f^{3}}-\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{d^{3} e^{3} a^{2} \left(f x +e \right)}{f^{3}}+\frac{3 d^{3} e^{2} a^{2} \left(f x +e \right)^{2}}{2 f^{3}}+\frac{3 c^{2} d \,a^{2} \left(f x +e \right)^{2}}{2 f}-\frac{d^{3} e \,a^{2} \left(f x +e \right)^{3}}{f^{3}}-\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} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{f^{3}}+\frac{6 c^{2} d a b \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f}+\frac{6 d^{3} e^{2} a b \left(\left(f x +e \right) \sinh \left(f x +e \right)-\cosh \left(f x +e \right)\right)}{f^{3}}}{f}"," ",0,"1/f*(-12/f^2*c*d^2*e*a*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))-6/f*c^2*d*e*a*b*sinh(f*x+e)+6/f^2*c*d^2*e^2*a*b*sinh(f*x+e)+1/4/f^3*d^3*a^2*(f*x+e)^4+2*c^3*a*b*sinh(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)-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)+6/f^2*c*d^2*a*b*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))-2/f^3*d^3*e^3*a*b*sinh(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)-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)+b^2*c^3*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e)+c^3*a^2*(f*x+e)+3/f^2*c*d^2*e^2*a^2*(f*x+e)-3/f^2*c*d^2*e*a^2*(f*x+e)^2-3/f*c^2*d*e*a^2*(f*x+e)+1/f^2*c*d^2*a^2*(f*x+e)^3+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)+2/f^3*d^3*a*b*((f*x+e)^3*sinh(f*x+e)-3*(f*x+e)^2*cosh(f*x+e)+6*(f*x+e)*sinh(f*x+e)-6*cosh(f*x+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)+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)-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)-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)-1/f^3*d^3*e^3*a^2*(f*x+e)+3/2/f^3*d^3*e^2*a^2*(f*x+e)^2+3/2/f*c^2*d*a^2*(f*x+e)^2-1/f^3*d^3*e*a^2*(f*x+e)^3-6/f^3*d^3*e*a*b*((f*x+e)^2*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(f*x+e))+6/f*c^2*d*a*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e))+6/f^3*d^3*e^2*a*b*((f*x+e)*sinh(f*x+e)-cosh(f*x+e)))","B"
163,1,535,170,0.073000," ","int((d*x+c)^2*(a+b*cosh(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} \sinh \left(f x +e \right)-2 \left(f x +e \right) \cosh \left(f x +e \right)+2 \sinh \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) \sinh \left(f x +e \right)-\cosh \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 \sinh \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) \sinh \left(f x +e \right)-\cosh \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 \sinh \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 \sinh \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*sinh(f*x+e)-2*(f*x+e)*cosh(f*x+e)+2*sinh(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)*sinh(f*x+e)-cosh(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*sinh(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)*sinh(f*x+e)-cosh(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*sinh(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*sinh(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"
164,1,208,106,0.071000," ","int((d*x+c)*(a+b*cosh(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) \sinh \left(f x +e \right)-\cosh \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 \sinh \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 \sinh \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)*sinh(f*x+e)-cosh(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*sinh(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*sinh(f*x+e)+c*b^2*(1/2*cosh(f*x+e)*sinh(f*x+e)+1/2*f*x+1/2*e))","A"
165,1,202,152,0.328000," ","int((a+b*cosh(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 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}"," ",0,"-a*b/d*exp((c*f-d*e)/d)*Ei(1,f*x+e+(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^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"
166,1,319,186,0.358000," ","int((a+b*cosh(f*x+e))^2/(d*x+c)^2,x)","-\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}}-\frac{a b f \,{\mathrm e}^{f x +e}}{d^{2} \left(\frac{c f}{d}+f x \right)}-\frac{a b 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{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}}"," ",0,"-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*b*f/d^2*exp(f*x+e)/(c*f/d+f*x)-a*b*f/d^2*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)","A"
167,1,626,242,0.380000," ","int((a+b*cosh(f*x+e))^2/(d*x+c)^3,x)","\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}}-\frac{a b \,f^{2} {\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{a b \,f^{2} {\mathrm e}^{f x +e}}{2 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{a b \,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{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{b^{2} f^{2} {\mathrm e}^{2 f x +2 e}}{8 d^{3} \left(\frac{c f}{d}+f x \right)^{2}}-\frac{b^{2} f^{2} {\mathrm e}^{2 f x +2 e}}{4 d^{3} \left(\frac{c f}{d}+f x \right)}-\frac{b^{2} f^{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}}"," ",0,"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)-1/2*a*b*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)^2-1/2*a*b*f^2/d^3*exp(f*x+e)/(c*f/d+f*x)-1/2*a*b*f^2/d^3*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*b^2*f^2/d^3*exp(2*f*x+2*e)/(c*f/d+f*x)^2-1/4*b^2*f^2/d^3*exp(2*f*x+2*e)/(c*f/d+f*x)-1/2*b^2*f^2/d^3*exp(-2*(c*f-d*e)/d)*Ei(1,-2*f*x-2*e-2*(c*f-d*e)/d)","B"
168,0,0,396,0.482000," ","int((d*x+c)^3/(a+b*cosh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{3}}{a +b \cosh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^3/(a+b*cosh(f*x+e)),x)","F"
169,0,0,290,0.442000," ","int((d*x+c)^2/(a+b*cosh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{2}}{a +b \cosh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^2/(a+b*cosh(f*x+e)),x)","F"
170,1,437,183,0.216000," ","int((d*x+c)/(a+b*cosh(f*x+e)),x)","\frac{2 c \arctan \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 \arctan \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)*arctan(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)*arctan(1/2*(2*b*exp(f*x+e)+2*a)/(-a^2+b^2)^(1/2))","B"
171,0,0,22,0.171000," ","int(1/(d*x+c)/(a+b*cosh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right) \left(a +b \cosh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)/(a+b*cosh(f*x+e)),x)","F"
172,0,0,22,0.167000," ","int(1/(d*x+c)^2/(a+b*cosh(f*x+e)),x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \cosh \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*cosh(f*x+e)),x)","F"
173,0,0,765,0.816000," ","int((d*x+c)^3/(a+b*cosh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{3}}{\left(a +b \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^3/(a+b*cosh(f*x+e))^2,x)","F"
174,0,0,551,0.700000," ","int((d*x+c)^2/(a+b*cosh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{2}}{\left(a +b \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^2/(a+b*cosh(f*x+e))^2,x)","F"
175,1,585,254,0.297000," ","int((d*x+c)/(a+b*cosh(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 a c \arctan \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) \sqrt{-a^{2}+b^{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{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 d \ln \left({\mathrm e}^{f x +e}\right)}{f^{2} \left(a^{2}-b^{2}\right)}-\frac{2 a d e \arctan \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) \sqrt{-a^{2}+b^{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/(a^2-b^2)*a*c/(-a^2+b^2)^(1/2)*arctan(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)))+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^2/(a^2-b^2)*d*ln(exp(f*x+e))-2/f^2/(a^2-b^2)*a*d*e/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*exp(f*x+e)+2*a)/(-a^2+b^2)^(1/2))","B"
176,0,0,22,0.587000," ","int(1/(d*x+c)/(a+b*cosh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right) \left(a +b \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)/(a+b*cosh(f*x+e))^2,x)","F"
177,0,0,22,0.785000," ","int(1/(d*x+c)^2/(a+b*cosh(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*cosh(f*x+e))^2,x)","F"
178,0,0,22,0.148000," ","int((d*x+c)^m*(a+b*cosh(f*x+e))^n,x)","\int \left(d x +c \right)^{m} \left(a +b \cosh \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((d*x+c)^m*(a+b*cosh(f*x+e))^n,x)","F"
179,0,0,521,0.364000," ","int((d*x+c)^m*(a+b*cosh(f*x+e))^3,x)","\int \left(d x +c \right)^{m} \left(a +b \cosh \left(f x +e \right)\right)^{3}\, dx"," ",0,"int((d*x+c)^m*(a+b*cosh(f*x+e))^3,x)","F"
180,0,0,276,0.281000," ","int((d*x+c)^m*(a+b*cosh(f*x+e))^2,x)","\int \left(d x +c \right)^{m} \left(a +b \cosh \left(f x +e \right)\right)^{2}\, dx"," ",0,"int((d*x+c)^m*(a+b*cosh(f*x+e))^2,x)","F"
181,0,0,125,0.154000," ","int((d*x+c)^m*(a+b*cosh(f*x+e)),x)","\int \left(d x +c \right)^{m} \left(a +b \cosh \left(f x +e \right)\right)\, dx"," ",0,"int((d*x+c)^m*(a+b*cosh(f*x+e)),x)","F"
182,0,0,22,0.146000," ","int((d*x+c)^m/(a+b*cosh(f*x+e)),x)","\int \frac{\left(d x +c \right)^{m}}{a +b \cosh \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^m/(a+b*cosh(f*x+e)),x)","F"
183,0,0,22,0.175000," ","int((d*x+c)^m/(a+b*cosh(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +b \cosh \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(a+b*cosh(f*x+e))^2,x)","F"