1,1,356,124,0.043000," ","int(x^3*(b*x+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d}-\frac{4 b c \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d}+\frac{6 b \,c^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d}-\frac{4 b \,c^{3} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}+\frac{b \,c^{4} \sinh \left(d x +c \right)}{d}+a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)-3 a c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)+3 a \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-a \,c^{3} \sinh \left(d x +c \right)}{d^{4}}"," ",0,"1/d^4*(b/d*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-4*b*c/d*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+6*b/d*c^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-4*b/d*c^3*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+b*c^4/d*sinh(d*x+c)+a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3*a*c*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3*a*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-a*c^3*sinh(d*x+c))","B"
2,1,224,94,0.041000," ","int(x^2*(b*x+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d}-\frac{3 b c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d}+\frac{3 b \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}-\frac{b \,c^{3} \sinh \left(d x +c \right)}{d}+a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)-2 a c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+a \,c^{2} \sinh \left(d x +c \right)}{d^{3}}"," ",0,"1/d^3*(b/d*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3*b*c/d*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3*b/d*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-b*c^3/d*sinh(d*x+c)+a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2*a*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a*c^2*sinh(d*x+c))","B"
3,1,122,64,0.050000," ","int(x*(b*x+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d}-\frac{2 b c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}+a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+\frac{b \,c^{2} \sinh \left(d x +c \right)}{d}-a c \sinh \left(d x +c \right)}{d^{2}}"," ",0,"1/d^2*(b/d*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2*b*c/d*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+b*c^2/d*sinh(d*x+c)-a*c*sinh(d*x+c))","A"
4,1,53,28,0.045000," ","int((b*x+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}-\frac{b c \sinh \left(d x +c \right)}{d}+a \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(b/d*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-b*c/d*sinh(d*x+c)+a*sinh(d*x+c))","A"
5,1,52,28,0.088000," ","int((b*x+a)*cosh(d*x+c)/x,x)","-\frac{a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b \,{\mathrm e}^{-d x -c}}{2 d}-\frac{a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b \,{\mathrm e}^{d x +c}}{2 d}"," ",0,"-1/2*a*exp(-c)*Ei(1,d*x)-1/2*b/d*exp(-d*x-c)-1/2*a*exp(c)*Ei(1,-d*x)+1/2*b/d*exp(d*x+c)","A"
6,1,77,47,0.097000," ","int((b*x+a)*cosh(d*x+c)/x^2,x)","-\frac{a \,{\mathrm e}^{-d x -c}}{2 x}+\frac{d a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{a \,{\mathrm e}^{d x +c}}{2 x}-\frac{d a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}"," ",0,"-1/2*a*exp(-d*x-c)/x+1/2*d*a*exp(-c)*Ei(1,d*x)-1/2*b*exp(-c)*Ei(1,d*x)-1/2*a/x*exp(d*x+c)-1/2*d*a*exp(c)*Ei(1,-d*x)-1/2*b*exp(c)*Ei(1,-d*x)","A"
7,1,139,80,0.098000," ","int((b*x+a)*cosh(d*x+c)/x^3,x)","\frac{d a \,{\mathrm e}^{-d x -c}}{4 x}-\frac{a \,{\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{b \,{\mathrm e}^{-d x -c}}{2 x}+\frac{d b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{a \,{\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d a \,{\mathrm e}^{d x +c}}{4 x}-\frac{d^{2} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}-\frac{b \,{\mathrm e}^{d x +c}}{2 x}-\frac{d b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}"," ",0,"1/4*d*a*exp(-d*x-c)/x-1/4*a*exp(-d*x-c)/x^2-1/4*d^2*a*exp(-c)*Ei(1,d*x)-1/2*b*exp(-d*x-c)/x+1/2*d*b*exp(-c)*Ei(1,d*x)-1/4*a/x^2*exp(d*x+c)-1/4*d*a/x*exp(d*x+c)-1/4*d^2*a*exp(c)*Ei(1,-d*x)-1/2*b/x*exp(d*x+c)-1/2*d*b*exp(c)*Ei(1,-d*x)","A"
8,1,205,114,0.116000," ","int((b*x+a)*cosh(d*x+c)/x^4,x)","-\frac{d^{2} a \,{\mathrm e}^{-d x -c}}{12 x}+\frac{d a \,{\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{a \,{\mathrm e}^{-d x -c}}{6 x^{3}}+\frac{d^{3} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}+\frac{d b \,{\mathrm e}^{-d x -c}}{4 x}-\frac{b \,{\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{a \,{\mathrm e}^{d x +c}}{6 x^{3}}-\frac{d a \,{\mathrm e}^{d x +c}}{12 x^{2}}-\frac{d^{2} a \,{\mathrm e}^{d x +c}}{12 x}-\frac{d^{3} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}-\frac{b \,{\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d b \,{\mathrm e}^{d x +c}}{4 x}-\frac{d^{2} b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}"," ",0,"-1/12*d^2*a*exp(-d*x-c)/x+1/12*d*a*exp(-d*x-c)/x^2-1/6*a*exp(-d*x-c)/x^3+1/12*d^3*a*exp(-c)*Ei(1,d*x)+1/4*d*b*exp(-d*x-c)/x-1/4*b*exp(-d*x-c)/x^2-1/4*d^2*b*exp(-c)*Ei(1,d*x)-1/6*a/x^3*exp(d*x+c)-1/12*d*a/x^2*exp(d*x+c)-1/12*d^2*a/x*exp(d*x+c)-1/12*d^3*a*exp(c)*Ei(1,-d*x)-1/4*b/x^2*exp(d*x+c)-1/4*d*b/x*exp(d*x+c)-1/4*d^2*b*exp(c)*Ei(1,-d*x)","A"
9,1,271,144,0.117000," ","int((b*x+a)*cosh(d*x+c)/x^5,x)","\frac{d^{3} a \,{\mathrm e}^{-d x -c}}{48 x}-\frac{d^{2} a \,{\mathrm e}^{-d x -c}}{48 x^{2}}+\frac{d a \,{\mathrm e}^{-d x -c}}{24 x^{3}}-\frac{a \,{\mathrm e}^{-d x -c}}{8 x^{4}}-\frac{d^{4} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{48}-\frac{d^{2} b \,{\mathrm e}^{-d x -c}}{12 x}+\frac{d b \,{\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{b \,{\mathrm e}^{-d x -c}}{6 x^{3}}+\frac{d^{3} b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}-\frac{a \,{\mathrm e}^{d x +c}}{8 x^{4}}-\frac{d a \,{\mathrm e}^{d x +c}}{24 x^{3}}-\frac{d^{2} a \,{\mathrm e}^{d x +c}}{48 x^{2}}-\frac{d^{3} a \,{\mathrm e}^{d x +c}}{48 x}-\frac{d^{4} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{48}-\frac{b \,{\mathrm e}^{d x +c}}{6 x^{3}}-\frac{d b \,{\mathrm e}^{d x +c}}{12 x^{2}}-\frac{d^{2} b \,{\mathrm e}^{d x +c}}{12 x}-\frac{d^{3} b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}"," ",0,"1/48*d^3*a*exp(-d*x-c)/x-1/48*d^2*a*exp(-d*x-c)/x^2+1/24*d*a*exp(-d*x-c)/x^3-1/8*a*exp(-d*x-c)/x^4-1/48*d^4*a*exp(-c)*Ei(1,d*x)-1/12*d^2*b*exp(-d*x-c)/x+1/12*d*b*exp(-d*x-c)/x^2-1/6*b*exp(-d*x-c)/x^3+1/12*d^3*b*exp(-c)*Ei(1,d*x)-1/8*a/x^4*exp(d*x+c)-1/24*d*a/x^3*exp(d*x+c)-1/48*d^2*a/x^2*exp(d*x+c)-1/48*d^3*a/x*exp(d*x+c)-1/48*d^4*a*exp(c)*Ei(1,-d*x)-1/6*b/x^3*exp(d*x+c)-1/12*d*b/x^2*exp(d*x+c)-1/12*d^2*b/x*exp(d*x+c)-1/12*d^3*b*exp(c)*Ei(1,-d*x)","A"
10,1,463,184,0.043000," ","int(x^2*(b*x+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{4 b^{2} c \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}+\frac{6 b^{2} c^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{4 b^{2} c^{3} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+\frac{2 b a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d}-\frac{6 b c a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d}+\frac{6 b a \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}+\frac{b^{2} c^{4} \sinh \left(d x +c \right)}{d^{2}}-\frac{2 b \,c^{3} a \sinh \left(d x +c \right)}{d}+a^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)-2 a^{2} c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+a^{2} c^{2} \sinh \left(d x +c \right)}{d^{3}}"," ",0,"1/d^3*(b^2/d^2*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-4*b^2/d^2*c*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+6*b^2*c^2/d^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-4*b^2/d^2*c^3*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+2*b/d*a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-6*b*c/d*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+6*b/d*a*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+b^2*c^4/d^2*sinh(d*x+c)-2*b*c^3/d*a*sinh(d*x+c)+a^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2*a^2*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a^2*c^2*sinh(d*x+c))","B"
11,1,283,134,0.041000," ","int(x*(b*x+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}-\frac{3 b^{2} c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}+\frac{2 b a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d}+\frac{3 b^{2} c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}-\frac{4 b c a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}+a^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-\frac{b^{2} c^{3} \sinh \left(d x +c \right)}{d^{2}}+\frac{2 b \,c^{2} a \sinh \left(d x +c \right)}{d}-c \,a^{2} \sinh \left(d x +c \right)}{d^{2}}"," ",0,"1/d^2*(b^2/d^2*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3*b^2/d^2*c*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+2*b/d*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3*b^2*c^2/d^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-4*b*c/d*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-b^2*c^3/d^2*sinh(d*x+c)+2*b*c^2/d*a*sinh(d*x+c)-c*a^2*sinh(d*x+c))","B"
12,1,147,49,0.041000," ","int((b*x+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{2 b^{2} c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+\frac{2 b a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}+\frac{b^{2} c^{2} \sinh \left(d x +c \right)}{d^{2}}-\frac{2 b c a \sinh \left(d x +c \right)}{d}+a^{2} \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2/d^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2*b^2/d^2*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+2*b/d*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+b^2*c^2/d^2*sinh(d*x+c)-2*b*c/d*a*sinh(d*x+c)+a^2*sinh(d*x+c))","B"
13,1,121,62,0.108000," ","int((b*x+a)^2*cosh(d*x+c)/x,x)","-\frac{a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b^{2} {\mathrm e}^{-d x -c} x}{2 d}-\frac{b^{2} {\mathrm e}^{-d x -c}}{2 d^{2}}-\frac{a b \,{\mathrm e}^{-d x -c}}{d}-\frac{a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b^{2} {\mathrm e}^{d x +c} x}{2 d}-\frac{b^{2} {\mathrm e}^{d x +c}}{2 d^{2}}+\frac{a b \,{\mathrm e}^{d x +c}}{d}"," ",0,"-1/2*a^2*exp(-c)*Ei(1,d*x)-1/2*b^2/d*exp(-d*x-c)*x-1/2*b^2/d^2*exp(-d*x-c)-a*b/d*exp(-d*x-c)-1/2*a^2*exp(c)*Ei(1,-d*x)+1/2*b^2/d*exp(d*x+c)*x-1/2*b^2/d^2*exp(d*x+c)+a*b/d*exp(d*x+c)","A"
14,1,118,70,0.117000," ","int((b*x+a)^2*cosh(d*x+c)/x^2,x)","-\frac{a^{2} {\mathrm e}^{-d x -c}}{2 x}+\frac{d \,a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b^{2} {\mathrm e}^{-d x -c}}{2 d}-a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)-\frac{a^{2} {\mathrm e}^{d x +c}}{2 x}-\frac{d \,a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b^{2} {\mathrm e}^{d x +c}}{2 d}-a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)"," ",0,"-1/2*a^2*exp(-d*x-c)/x+1/2*d*a^2*exp(-c)*Ei(1,d*x)-1/2*b^2/d*exp(-d*x-c)-a*b*exp(-c)*Ei(1,d*x)-1/2*a^2/x*exp(d*x+c)-1/2*d*a^2*exp(c)*Ei(1,-d*x)+1/2*b^2/d*exp(d*x+c)-a*b*exp(c)*Ei(1,-d*x)","A"
15,1,181,113,0.113000," ","int((b*x+a)^2*cosh(d*x+c)/x^3,x)","-\frac{b^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{a^{2} {\mathrm e}^{-d x -c}}{4 x^{2}}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{4 x}-\frac{a b \,{\mathrm e}^{-d x -c}}{x}+d a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)-\frac{d^{2} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{b^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{a^{2} {\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{4 x}-\frac{a b \,{\mathrm e}^{d x +c}}{x}-d a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)-\frac{d^{2} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}"," ",0,"-1/2*b^2*exp(-c)*Ei(1,d*x)-1/4*a^2*exp(-d*x-c)/x^2+1/4*d*a^2*exp(-d*x-c)/x-a*b*exp(-d*x-c)/x+d*a*b*exp(-c)*Ei(1,d*x)-1/4*d^2*a^2*exp(-c)*Ei(1,d*x)-1/2*b^2*exp(c)*Ei(1,-d*x)-1/4*a^2/x^2*exp(d*x+c)-1/4*d*a^2/x*exp(d*x+c)-a*b/x*exp(d*x+c)-d*a*b*exp(c)*Ei(1,-d*x)-1/4*d^2*a^2*exp(c)*Ei(1,-d*x)","A"
16,1,287,162,0.129000," ","int((b*x+a)^2*cosh(d*x+c)/x^4,x)","-\frac{d^{2} a^{2} {\mathrm e}^{-d x -c}}{12 x}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{a^{2} {\mathrm e}^{-d x -c}}{6 x^{3}}-\frac{b^{2} {\mathrm e}^{-d x -c}}{2 x}+\frac{d \,b^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}+\frac{d a b \,{\mathrm e}^{-d x -c}}{2 x}-\frac{a b \,{\mathrm e}^{-d x -c}}{2 x^{2}}-\frac{d^{2} a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}+\frac{d^{3} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}-\frac{a^{2} {\mathrm e}^{d x +c}}{6 x^{3}}-\frac{a b \,{\mathrm e}^{d x +c}}{2 x^{2}}-\frac{d a b \,{\mathrm e}^{d x +c}}{2 x}-\frac{d^{2} a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{d^{2} a^{2} {\mathrm e}^{d x +c}}{12 x}-\frac{d^{3} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{12 x^{2}}-\frac{b^{2} {\mathrm e}^{d x +c}}{2 x}-\frac{d \,b^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}"," ",0,"-1/12*d^2*a^2*exp(-d*x-c)/x+1/12*d*a^2*exp(-d*x-c)/x^2-1/6*a^2*exp(-d*x-c)/x^3-1/2*b^2*exp(-d*x-c)/x+1/2*d*b^2*exp(-c)*Ei(1,d*x)+1/2*d*a*b*exp(-d*x-c)/x-1/2*a*b*exp(-d*x-c)/x^2-1/2*d^2*a*b*exp(-c)*Ei(1,d*x)+1/12*d^3*a^2*exp(-c)*Ei(1,d*x)-1/6*a^2/x^3*exp(d*x+c)-1/2*a*b/x^2*exp(d*x+c)-1/2*d*a*b/x*exp(d*x+c)-1/2*d^2*a*b*exp(c)*Ei(1,-d*x)-1/12*d^2*a^2/x*exp(d*x+c)-1/12*d^3*a^2*exp(c)*Ei(1,-d*x)-1/12*d*a^2/x^2*exp(d*x+c)-1/2*b^2/x*exp(d*x+c)-1/2*d*b^2*exp(c)*Ei(1,-d*x)","A"
17,1,396,218,0.135000," ","int((b*x+a)^2*cosh(d*x+c)/x^5,x)","-\frac{a^{2} {\mathrm e}^{-d x -c}}{8 x^{4}}+\frac{d^{3} a^{2} {\mathrm e}^{-d x -c}}{48 x}-\frac{d^{2} a^{2} {\mathrm e}^{-d x -c}}{48 x^{2}}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{24 x^{3}}+\frac{d \,b^{2} {\mathrm e}^{-d x -c}}{4 x}-\frac{b^{2} {\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} b^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{d^{2} a b \,{\mathrm e}^{-d x -c}}{6 x}+\frac{d a b \,{\mathrm e}^{-d x -c}}{6 x^{2}}-\frac{a b \,{\mathrm e}^{-d x -c}}{3 x^{3}}+\frac{d^{3} a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{6}-\frac{d^{4} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{48}-\frac{a^{2} {\mathrm e}^{d x +c}}{8 x^{4}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{24 x^{3}}-\frac{d^{2} a^{2} {\mathrm e}^{d x +c}}{48 x^{2}}-\frac{d^{3} a^{2} {\mathrm e}^{d x +c}}{48 x}-\frac{b^{2} {\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d \,b^{2} {\mathrm e}^{d x +c}}{4 x}-\frac{d^{2} b^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}-\frac{d^{4} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{48}-\frac{a b \,{\mathrm e}^{d x +c}}{3 x^{3}}-\frac{d a b \,{\mathrm e}^{d x +c}}{6 x^{2}}-\frac{d^{2} a b \,{\mathrm e}^{d x +c}}{6 x}-\frac{d^{3} a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{6}"," ",0,"-1/8*a^2*exp(-d*x-c)/x^4+1/48*d^3*a^2*exp(-d*x-c)/x-1/48*d^2*a^2*exp(-d*x-c)/x^2+1/24*d*a^2*exp(-d*x-c)/x^3+1/4*d*b^2*exp(-d*x-c)/x-1/4*b^2*exp(-d*x-c)/x^2-1/4*d^2*b^2*exp(-c)*Ei(1,d*x)-1/6*d^2*a*b*exp(-d*x-c)/x+1/6*d*a*b*exp(-d*x-c)/x^2-1/3*a*b*exp(-d*x-c)/x^3+1/6*d^3*a*b*exp(-c)*Ei(1,d*x)-1/48*d^4*a^2*exp(-c)*Ei(1,d*x)-1/8*a^2/x^4*exp(d*x+c)-1/24*d*a^2/x^3*exp(d*x+c)-1/48*d^2*a^2/x^2*exp(d*x+c)-1/48*d^3*a^2/x*exp(d*x+c)-1/4*b^2/x^2*exp(d*x+c)-1/4*d*b^2/x*exp(d*x+c)-1/4*d^2*b^2*exp(c)*Ei(1,-d*x)-1/48*d^4*a^2*exp(c)*Ei(1,-d*x)-1/3*a*b/x^3*exp(d*x+c)-1/6*d*a*b/x^2*exp(d*x+c)-1/6*d^2*a*b/x*exp(d*x+c)-1/6*d^3*a*b*exp(c)*Ei(1,-d*x)","A"
18,1,442,222,0.194000," ","int(x^4*cosh(d*x+c)/(b*x+a),x)","-\frac{3 \,{\mathrm e}^{-d x -c}}{d^{4} b}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{4}}{2 b^{5}}-\frac{3 \,{\mathrm e}^{-d x -c} x^{2}}{2 d^{2} b}-\frac{{\mathrm e}^{-d x -c} a^{2}}{2 d^{2} b^{3}}-\frac{{\mathrm e}^{-d x -c} x^{3}}{2 d b}+\frac{{\mathrm e}^{-d x -c} a^{3}}{2 d \,b^{4}}-\frac{3 \,{\mathrm e}^{-d x -c} x}{d^{3} b}+\frac{{\mathrm e}^{-d x -c} a}{d^{3} b^{2}}+\frac{{\mathrm e}^{-d x -c} a x}{d^{2} b^{2}}+\frac{{\mathrm e}^{-d x -c} a \,x^{2}}{2 d \,b^{2}}-\frac{{\mathrm e}^{-d x -c} a^{2} x}{2 d \,b^{3}}+\frac{{\mathrm e}^{d x +c} x^{3}}{2 d b}-\frac{3 \,{\mathrm e}^{d x +c} x^{2}}{2 d^{2} b}+\frac{3 \,{\mathrm e}^{d x +c} x}{d^{3} b}-\frac{a^{3} {\mathrm e}^{d x +c}}{2 d \,b^{4}}-\frac{a \,{\mathrm e}^{d x +c}}{d^{3} b^{2}}-\frac{a \,{\mathrm e}^{d x +c} x^{2}}{2 d \,b^{2}}+\frac{a \,{\mathrm e}^{d x +c} x}{d^{2} b^{2}}+\frac{a^{2} {\mathrm e}^{d x +c} x}{2 d \,b^{3}}-\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{4}}{2 b^{5}}-\frac{a^{2} {\mathrm e}^{d x +c}}{2 d^{2} b^{3}}-\frac{3 \,{\mathrm e}^{d x +c}}{d^{4} b}"," ",0,"-3/d^4*exp(-d*x-c)/b-1/2/b^5*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^4-3/2/d^2*exp(-d*x-c)/b*x^2-1/2/d^2*exp(-d*x-c)/b^3*a^2-1/2/d*exp(-d*x-c)/b*x^3+1/2/d*exp(-d*x-c)/b^4*a^3-3/d^3*exp(-d*x-c)/b*x+1/d^3*exp(-d*x-c)/b^2*a+1/d^2*exp(-d*x-c)/b^2*a*x+1/2/d*exp(-d*x-c)/b^2*a*x^2-1/2/d*exp(-d*x-c)/b^3*a^2*x+1/2/d/b*exp(d*x+c)*x^3-3/2/d^2/b*exp(d*x+c)*x^2+3/d^3/b*exp(d*x+c)*x-1/2/d/b^4*a^3*exp(d*x+c)-1/d^3/b^2*a*exp(d*x+c)-1/2/d/b^2*a*exp(d*x+c)*x^2+1/d^2/b^2*a*exp(d*x+c)*x+1/2/d/b^3*a^2*exp(d*x+c)*x-1/2/b^5*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^4-1/2/d^2/b^3*a^2*exp(d*x+c)-3/d^4/b*exp(d*x+c)","A"
19,1,292,151,0.139000," ","int(x^3*cosh(d*x+c)/(b*x+a),x)","-\frac{{\mathrm e}^{-d x -c} x^{2}}{2 d b}+\frac{{\mathrm e}^{-d x -c} a x}{2 d \,b^{2}}-\frac{{\mathrm e}^{-d x -c} a^{2}}{2 d \,b^{3}}-\frac{{\mathrm e}^{-d x -c} x}{d^{2} b}+\frac{{\mathrm e}^{-d x -c} a}{2 d^{2} b^{2}}-\frac{{\mathrm e}^{-d x -c}}{d^{3} b}+\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{3}}{2 b^{4}}+\frac{a \,{\mathrm e}^{d x +c}}{2 d^{2} b^{2}}+\frac{{\mathrm e}^{d x +c} x^{2}}{2 d b}-\frac{{\mathrm e}^{d x +c} x}{d^{2} b}+\frac{a^{2} {\mathrm e}^{d x +c}}{2 d \,b^{3}}+\frac{{\mathrm e}^{d x +c}}{d^{3} b}-\frac{a \,{\mathrm e}^{d x +c} x}{2 d \,b^{2}}+\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{3}}{2 b^{4}}"," ",0,"-1/2/d*exp(-d*x-c)/b*x^2+1/2/d*exp(-d*x-c)/b^2*a*x-1/2/d*exp(-d*x-c)/b^3*a^2-1/d^2*exp(-d*x-c)/b*x+1/2/d^2*exp(-d*x-c)/b^2*a-1/d^3*exp(-d*x-c)/b+1/2/b^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^3+1/2/d^2/b^2*a*exp(d*x+c)+1/2/d/b*exp(d*x+c)*x^2-1/d^2/b*exp(d*x+c)*x+1/2/d/b^3*a^2*exp(d*x+c)+1/d^3/b*exp(d*x+c)-1/2/d/b^2*a*exp(d*x+c)*x+1/2/b^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^3","A"
20,1,184,103,0.110000," ","int(x^2*cosh(d*x+c)/(b*x+a),x)","-\frac{{\mathrm e}^{-d x -c} x}{2 d b}+\frac{{\mathrm e}^{-d x -c} a}{2 d \,b^{2}}-\frac{{\mathrm e}^{-d x -c}}{2 d^{2} b}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{2}}{2 b^{3}}+\frac{{\mathrm e}^{d x +c} x}{2 d b}-\frac{{\mathrm e}^{d x +c}}{2 d^{2} b}-\frac{a \,{\mathrm e}^{d x +c}}{2 d \,b^{2}}-\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{2}}{2 b^{3}}"," ",0,"-1/2/d*exp(-d*x-c)/b*x+1/2/d*exp(-d*x-c)/b^2*a-1/2/d^2*exp(-d*x-c)/b-1/2/b^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^2+1/2/d/b*exp(d*x+c)*x-1/2/d^2/b*exp(d*x+c)-1/2/d/b^2*a*exp(d*x+c)-1/2/b^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^2","A"
21,1,114,69,0.089000," ","int(x*cosh(d*x+c)/(b*x+a),x)","-\frac{{\mathrm e}^{-d x -c}}{2 d b}+\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a}{2 b^{2}}+\frac{{\mathrm e}^{d x +c}}{2 d b}+\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a}{2 b^{2}}"," ",0,"-1/2/d*exp(-d*x-c)/b+1/2/b^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a+1/2/d/b*exp(d*x+c)+1/2/b^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a","A"
22,1,81,54,0.066000," ","int(cosh(d*x+c)/(b*x+a),x)","-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 b}-\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 b}"," ",0,"-1/2/b*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2/b*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)","A"
23,1,108,74,0.082000," ","int(cosh(d*x+c)/x/(b*x+a),x)","\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a}+\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a}"," ",0,"1/2/a*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2/a*exp(-c)*Ei(1,d*x)+1/2/a*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2/a*exp(c)*Ei(1,-d*x)","A"
24,1,172,116,0.098000," ","int(cosh(d*x+c)/x^2/(b*x+a),x)","-\frac{{\mathrm e}^{-d x -c}}{2 a x}-\frac{b \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a^{2}}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a}+\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{2 a^{2}}-\frac{b \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{2}}-\frac{{\mathrm e}^{d x +c}}{2 a x}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a}+\frac{b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}"," ",0,"-1/2*exp(-d*x-c)/a/x-1/2*b/a^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)+1/2*d/a*exp(-c)*Ei(1,d*x)+1/2/a^2*exp(-c)*Ei(1,d*x)*b-1/2/a^2*b*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2/a/x*exp(d*x+c)-1/2*d/a*exp(c)*Ei(1,-d*x)+1/2*b/a^2*exp(c)*Ei(1,-d*x)","A"
25,1,281,183,0.104000," ","int(cosh(d*x+c)/x^3/(b*x+a),x)","\frac{d \,{\mathrm e}^{-d x -c}}{4 a x}+\frac{{\mathrm e}^{-d x -c} b}{2 a^{2} x}-\frac{{\mathrm e}^{-d x -c}}{4 a \,x^{2}}+\frac{b^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a^{3}}-\frac{d^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4 a}-\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{2 a^{2}}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right) b^{2}}{2 a^{3}}+\frac{b^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{3}}+\frac{b \,{\mathrm e}^{d x +c}}{2 a^{2} x}+\frac{d b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}-\frac{{\mathrm e}^{d x +c}}{4 a \,x^{2}}-\frac{d \,{\mathrm e}^{d x +c}}{4 a x}-\frac{d^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4 a}-\frac{b^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{3}}"," ",0,"1/4*d*exp(-d*x-c)/a/x+1/2*exp(-d*x-c)/a^2/x*b-1/4*exp(-d*x-c)/a/x^2+1/2*b^2/a^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/4*d^2/a*exp(-c)*Ei(1,d*x)-1/2*d/a^2*exp(-c)*Ei(1,d*x)*b-1/2/a^3*exp(-c)*Ei(1,d*x)*b^2+1/2/a^3*b^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+1/2*b/a^2/x*exp(d*x+c)+1/2*d*b/a^2*exp(c)*Ei(1,-d*x)-1/4/a/x^2*exp(d*x+c)-1/4*d/a/x*exp(d*x+c)-1/4*d^2/a*exp(c)*Ei(1,-d*x)-1/2*b^2/a^3*exp(c)*Ei(1,-d*x)","A"
26,1,431,236,0.210000," ","int(x^4*cosh(d*x+c)/(b*x+a)^2,x)","-\frac{{\mathrm e}^{-d x -c} x}{d^{2} b^{2}}+\frac{{\mathrm e}^{-d x -c} a}{d^{2} b^{3}}-\frac{{\mathrm e}^{-d x -c}}{d^{3} b^{2}}-\frac{{\mathrm e}^{-d x -c} x^{2}}{2 d \,b^{2}}-\frac{3 \,{\mathrm e}^{-d x -c} a^{2}}{2 d \,b^{4}}+\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{4}}{2 b^{6}}+\frac{2 \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{3}}{b^{5}}-\frac{d \,{\mathrm e}^{-d x -c} a^{4}}{2 b^{5} \left(b d x +d a \right)}+\frac{{\mathrm e}^{-d x -c} a x}{d \,b^{3}}-\frac{a \,{\mathrm e}^{d x +c} x}{d \,b^{3}}+\frac{2 \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{3}}{b^{5}}-\frac{d \,{\mathrm e}^{d x +c} a^{4}}{2 b^{6} \left(\frac{a d}{b}+d x \right)}-\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{4}}{2 b^{6}}+\frac{a \,{\mathrm e}^{d x +c}}{d^{2} b^{3}}+\frac{{\mathrm e}^{d x +c} x^{2}}{2 d \,b^{2}}-\frac{{\mathrm e}^{d x +c} x}{d^{2} b^{2}}+\frac{{\mathrm e}^{d x +c}}{d^{3} b^{2}}+\frac{3 a^{2} {\mathrm e}^{d x +c}}{2 d \,b^{4}}"," ",0,"-1/d^2*exp(-d*x-c)/b^2*x+1/d^2*exp(-d*x-c)/b^3*a-1/d^3*exp(-d*x-c)/b^2-1/2/d*exp(-d*x-c)/b^2*x^2-3/2/d*exp(-d*x-c)/b^4*a^2+1/2*d/b^6*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^4+2/b^5*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^3-1/2*d*exp(-d*x-c)/b^5/(b*d*x+a*d)*a^4+1/d*exp(-d*x-c)/b^3*a*x-1/d/b^3*a*exp(d*x+c)*x+2/b^5*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^3-1/2*d/b^6*exp(d*x+c)/(a*d/b+d*x)*a^4-1/2*d/b^6*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^4+1/d^2/b^3*a*exp(d*x+c)+1/2/d/b^2*exp(d*x+c)*x^2-1/d^2/b^2*exp(d*x+c)*x+1/d^3/b^2*exp(d*x+c)+3/2/d/b^4*a^2*exp(d*x+c)","A"
27,1,325,185,0.149000," ","int(x^3*cosh(d*x+c)/(b*x+a)^2,x)","-\frac{{\mathrm e}^{-d x -c} x}{2 d \,b^{2}}+\frac{{\mathrm e}^{-d x -c} a}{d \,b^{3}}-\frac{{\mathrm e}^{-d x -c}}{2 d^{2} b^{2}}-\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{3}}{2 b^{5}}-\frac{3 \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{2}}{2 b^{4}}+\frac{d \,{\mathrm e}^{-d x -c} a^{3}}{2 b^{4} \left(b d x +d a \right)}+\frac{{\mathrm e}^{d x +c} x}{2 d \,b^{2}}-\frac{3 \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{2}}{2 b^{4}}-\frac{a \,{\mathrm e}^{d x +c}}{d \,b^{3}}-\frac{{\mathrm e}^{d x +c}}{2 d^{2} b^{2}}+\frac{d \,{\mathrm e}^{d x +c} a^{3}}{2 b^{5} \left(\frac{a d}{b}+d x \right)}+\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{3}}{2 b^{5}}"," ",0,"-1/2/d*exp(-d*x-c)/b^2*x+1/d*exp(-d*x-c)/b^3*a-1/2/d^2*exp(-d*x-c)/b^2-1/2*d/b^5*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^3-3/2/b^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^2+1/2*d*exp(-d*x-c)/b^4/(b*d*x+a*d)*a^3+1/2/d/b^2*exp(d*x+c)*x-3/2/b^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^2-1/d/b^3*a*exp(d*x+c)-1/2/d^2/b^2*exp(d*x+c)+1/2*d/b^5*exp(d*x+c)/(a*d/b+d*x)*a^3+1/2*d/b^5*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^3","A"
28,1,254,152,0.120000," ","int(x^2*cosh(d*x+c)/(b*x+a)^2,x)","-\frac{{\mathrm e}^{-d x -c}}{2 d \,b^{2}}-\frac{d \,{\mathrm e}^{-d x -c} a^{2}}{2 b^{3} \left(b d x +d a \right)}+\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{2}}{2 b^{4}}+\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a}{b^{3}}+\frac{{\mathrm e}^{d x +c}}{2 d \,b^{2}}+\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a}{b^{3}}-\frac{d \,{\mathrm e}^{d x +c} a^{2}}{2 b^{4} \left(\frac{a d}{b}+d x \right)}-\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{2}}{2 b^{4}}"," ",0,"-1/2/d*exp(-d*x-c)/b^2-1/2*d*exp(-d*x-c)/b^3/(b*d*x+a*d)*a^2+1/2*d/b^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^2+1/b^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a+1/2/d/b^2*exp(d*x+c)+1/b^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a-1/2*d/b^4*exp(d*x+c)/(a*d/b+d*x)*a^2-1/2*d/b^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^2","A"
29,1,215,129,0.102000," ","int(x*cosh(d*x+c)/(b*x+a)^2,x)","\frac{d \,{\mathrm e}^{-d x -c} a}{2 b^{2} \left(b d x +d a \right)}-\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a}{2 b^{3}}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 b^{2}}-\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 b^{2}}+\frac{d \,{\mathrm e}^{d x +c} a}{2 b^{3} \left(\frac{a d}{b}+d x \right)}+\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a}{2 b^{3}}"," ",0,"1/2*d*exp(-d*x-c)/b^2/(b*d*x+a*d)*a-1/2*d/b^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a-1/2/b^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2/b^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+1/2*d/b^3*exp(d*x+c)/(a*d/b+d*x)*a+1/2*d/b^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a","A"
30,1,132,74,0.079000," ","int(cosh(d*x+c)/(b*x+a)^2,x)","-\frac{d \,{\mathrm e}^{-d x -c}}{2 b \left(b d x +d a \right)}+\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 b^{2}}-\frac{d \,{\mathrm e}^{d x +c}}{2 b^{2} \left(\frac{a d}{b}+d x \right)}-\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 b^{2}}"," ",0,"-1/2*d*exp(-d*x-c)/b/(b*d*x+a*d)+1/2*d/b^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2*d/b^2*exp(d*x+c)/(a*d/b+d*x)-1/2*d/b^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)","A"
31,1,254,152,0.098000," ","int(cosh(d*x+c)/x/(b*x+a)^2,x)","\frac{{\mathrm e}^{-d x -c} d}{2 a \left(\left(d x +c \right) b +d a -c b \right)}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) d}{2 a b}+\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a^{2}}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{2}}+\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{2}}+\frac{d \,{\mathrm e}^{d x +c}}{2 a b \left(\frac{a d}{b}+d x \right)}+\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a b}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}"," ",0,"1/2*exp(-d*x-c)*d/a/((d*x+c)*b+d*a-c*b)-1/2/a/b*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*d+1/2/a^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2/a^2*exp(-c)*Ei(1,d*x)+1/2/a^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+1/2/a*d/b*exp(d*x+c)/(a*d/b+d*x)+1/2/a*d/b*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2/a^2*exp(c)*Ei(1,-d*x)","A"
32,1,312,191,0.106000," ","int(cosh(d*x+c)/x^2/(b*x+a)^2,x)","-\frac{d \,{\mathrm e}^{-d x -c} b}{a^{2} \left(b d x +d a \right)}-\frac{d \,{\mathrm e}^{-d x -c}}{2 a \left(b d x +d a \right) x}+\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a^{2}}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) b}{a^{3}}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{2}}+\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{a^{3}}-\frac{b \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{a^{3}}-\frac{d \,{\mathrm e}^{d x +c}}{2 a^{2} \left(\frac{a d}{b}+d x \right)}-\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{2}}-\frac{{\mathrm e}^{d x +c}}{2 a^{2} x}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}+\frac{b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{a^{3}}"," ",0,"-d*exp(-d*x-c)/a^2/(b*d*x+a*d)*b-1/2*d*exp(-d*x-c)/a/(b*d*x+a*d)/x+1/2*d/a^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/a^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*b+1/2*d/a^2*exp(-c)*Ei(1,d*x)+1/a^3*exp(-c)*Ei(1,d*x)*b-b/a^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2*d/a^2*exp(d*x+c)/(a*d/b+d*x)-1/2*d/a^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2/a^2/x*exp(d*x+c)-1/2*d/a^2*exp(c)*Ei(1,-d*x)+1/a^3*b*exp(c)*Ei(1,-d*x)","A"
33,1,571,262,0.195000," ","int(x^3*cosh(d*x+c)/(b*x+a)^3,x)","\frac{d^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{3}}{4 b^{6}}+\frac{3 d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{2}}{2 b^{5}}+\frac{3 \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a}{2 b^{4}}-\frac{{\mathrm e}^{-d x -c}}{2 d \,b^{3}}-\frac{5 d^{2} {\mathrm e}^{-d x -c} a^{3}}{4 b^{4} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{3} {\mathrm e}^{-d x -c} a^{4}}{4 b^{5} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{3} {\mathrm e}^{-d x -c} a^{3} x}{4 b^{4} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{3 d^{2} {\mathrm e}^{-d x -c} a^{2} x}{2 b^{3} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{3 d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{2}}{2 b^{5}}-\frac{3 d \,{\mathrm e}^{d x +c} a^{2}}{2 b^{5} \left(\frac{a d}{b}+d x \right)}+\frac{{\mathrm e}^{d x +c}}{2 d \,b^{3}}+\frac{3 \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a}{2 b^{4}}+\frac{d^{2} {\mathrm e}^{d x +c} a^{3}}{4 b^{6} \left(\frac{a d}{b}+d x \right)}+\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{3}}{4 b^{6}}+\frac{d^{2} {\mathrm e}^{d x +c} a^{3}}{4 b^{6} \left(\frac{a d}{b}+d x \right)^{2}}"," ",0,"1/4*d^2/b^6*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^3+3/2*d/b^5*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^2+3/2/b^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a-1/2/d*exp(-d*x-c)/b^3-5/4*d^2*exp(-d*x-c)/b^4/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^3-1/4*d^3*exp(-d*x-c)/b^5/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^4-1/4*d^3*exp(-d*x-c)/b^4/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^3*x-3/2*d^2*exp(-d*x-c)/b^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^2*x-3/2*d/b^5*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^2-3/2*d/b^5*exp(d*x+c)/(a*d/b+d*x)*a^2+1/2/d/b^3*exp(d*x+c)+3/2/b^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a+1/4*d^2/b^6*exp(d*x+c)/(a*d/b+d*x)*a^3+1/4*d^2/b^6*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^3+1/4*d^2/b^6*exp(d*x+c)/(a*d/b+d*x)^2*a^3","B"
34,1,527,240,0.132000," ","int(x^2*cosh(d*x+c)/(b*x+a)^3,x)","\frac{d^{3} {\mathrm e}^{-d x -c} a^{2} x}{4 b^{3} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{3} {\mathrm e}^{-d x -c} a^{3}}{4 b^{4} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{2} {\mathrm e}^{-d x -c} a x}{b^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{3 d^{2} {\mathrm e}^{-d x -c} a^{2}}{4 b^{3} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a^{2}}{4 b^{5}}-\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a}{b^{4}}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 b^{3}}-\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 b^{3}}-\frac{d^{2} {\mathrm e}^{d x +c} a^{2}}{4 b^{5} \left(\frac{a d}{b}+d x \right)^{2}}-\frac{d^{2} {\mathrm e}^{d x +c} a^{2}}{4 b^{5} \left(\frac{a d}{b}+d x \right)}-\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a^{2}}{4 b^{5}}+\frac{d \,{\mathrm e}^{d x +c} a}{b^{4} \left(\frac{a d}{b}+d x \right)}+\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a}{b^{4}}"," ",0,"1/4*d^3*exp(-d*x-c)/b^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^2*x+1/4*d^3*exp(-d*x-c)/b^4/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^3+d^2*exp(-d*x-c)/b^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a*x+3/4*d^2*exp(-d*x-c)/b^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^2-1/4*d^2/b^5*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a^2-d/b^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a-1/2/b^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2/b^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/4*d^2/b^5*exp(d*x+c)/(a*d/b+d*x)^2*a^2-1/4*d^2/b^5*exp(d*x+c)/(a*d/b+d*x)*a^2-1/4*d^2/b^5*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a^2+d/b^4*exp(d*x+c)/(a*d/b+d*x)*a+d/b^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a","B"
35,1,435,175,0.107000," ","int(x*cosh(d*x+c)/(b*x+a)^3,x)","-\frac{d^{3} {\mathrm e}^{-d x -c} a x}{4 b^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{3} {\mathrm e}^{-d x -c} a^{2}}{4 b^{3} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{-d x -c} x}{2 b \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{-d x -c} a}{4 b^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) a}{4 b^{4}}+\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 b^{3}}+\frac{d^{2} {\mathrm e}^{d x +c} a}{4 b^{4} \left(\frac{a d}{b}+d x \right)^{2}}+\frac{d^{2} {\mathrm e}^{d x +c} a}{4 b^{4} \left(\frac{a d}{b}+d x \right)}+\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right) a}{4 b^{4}}-\frac{d \,{\mathrm e}^{d x +c}}{2 b^{3} \left(\frac{a d}{b}+d x \right)}-\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 b^{3}}"," ",0,"-1/4*d^3*exp(-d*x-c)/b^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a*x-1/4*d^3*exp(-d*x-c)/b^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a^2-1/2*d^2*exp(-d*x-c)/b/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*x-1/4*d^2*exp(-d*x-c)/b^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a+1/4*d^2/b^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*a+1/2*d/b^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)+1/4*d^2/b^4*exp(d*x+c)/(a*d/b+d*x)^2*a+1/4*d^2/b^4*exp(d*x+c)/(a*d/b+d*x)*a+1/4*d^2/b^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)*a-1/2*d/b^3*exp(d*x+c)/(a*d/b+d*x)-1/2*d/b^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)","B"
36,1,276,98,0.087000," ","int(cosh(d*x+c)/(b*x+a)^3,x)","\frac{d^{3} {\mathrm e}^{-d x -c} x}{4 b \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{3} {\mathrm e}^{-d x -c} a}{4 b^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{-d x -c}}{4 b \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{4 b^{3}}-\frac{d^{2} {\mathrm e}^{d x +c}}{4 b^{3} \left(\frac{a d}{b}+d x \right)^{2}}-\frac{d^{2} {\mathrm e}^{d x +c}}{4 b^{3} \left(\frac{a d}{b}+d x \right)}-\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{4 b^{3}}"," ",0,"1/4*d^3*exp(-d*x-c)/b/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*x+1/4*d^3*exp(-d*x-c)/b^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*a-1/4*d^2*exp(-d*x-c)/b/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)-1/4*d^2/b^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/4*d^2/b^3*exp(d*x+c)/(a*d/b+d*x)^2-1/4*d^2/b^3*exp(d*x+c)/(a*d/b+d*x)-1/4*d^2/b^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)","B"
37,1,488,258,0.110000," ","int(cosh(d*x+c)/x/(b*x+a)^3,x)","-\frac{{\mathrm e}^{-d x -c} d \left(\left(d x +c \right) a b d +a^{2} d^{2}-c d b a -2 b^{2} \left(d x +c \right)-3 b d a +2 c \,b^{2}\right)}{4 a^{2} b \left(b^{2} \left(d x +c \right)^{2}+2 \left(d x +c \right) a b d -2 \left(d x +c \right) b^{2} c +a^{2} d^{2}-2 c d b a +c^{2} b^{2}\right)}+\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) d^{2}}{4 a \,b^{2}}-\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) d}{2 a^{2} b}+\frac{{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a^{3}}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{3}}+\frac{{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{3}}+\frac{d^{2} {\mathrm e}^{d x +c}}{4 a \,b^{2} \left(\frac{a d}{b}+d x \right)^{2}}+\frac{d^{2} {\mathrm e}^{d x +c}}{4 a \,b^{2} \left(\frac{a d}{b}+d x \right)}+\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{4 a \,b^{2}}+\frac{d \,{\mathrm e}^{d x +c}}{2 b \,a^{2} \left(\frac{a d}{b}+d x \right)}+\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 b \,a^{2}}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{3}}"," ",0,"-1/4*exp(-d*x-c)*d*((d*x+c)*a*b*d+a^2*d^2-c*d*b*a-2*b^2*(d*x+c)-3*b*d*a+2*c*b^2)/a^2/b/(b^2*(d*x+c)^2+2*(d*x+c)*a*b*d-2*(d*x+c)*b^2*c+a^2*d^2-2*c*d*b*a+c^2*b^2)+1/4/a/b^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*d^2-1/2/a^2/b*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*d+1/2/a^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-1/2/a^3*exp(-c)*Ei(1,d*x)+1/2/a^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+1/4/a*d^2/b^2*exp(d*x+c)/(a*d/b+d*x)^2+1/4/a*d^2/b^2*exp(d*x+c)/(a*d/b+d*x)+1/4/a*d^2/b^2*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+1/2/b/a^2*d*exp(d*x+c)/(a*d/b+d*x)+1/2/b/a^2*d*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2/a^3*exp(c)*Ei(1,-d*x)","A"
38,1,643,296,0.131000," ","int(cosh(d*x+c)/x^2/(b*x+a)^3,x)","\frac{{\mathrm e}^{-d x -c} x \,d^{3} b}{4 a^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{{\mathrm e}^{-d x -c} d^{3}}{4 a \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{3 \,{\mathrm e}^{-d x -c} x \,d^{2} b^{2}}{2 a^{3} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{9 \,{\mathrm e}^{-d x -c} d^{2} b}{4 a^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{{\mathrm e}^{-d x -c} d^{2}}{2 a x \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{4 b \,a^{2}}+\frac{d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{a^{3}}-\frac{3 b \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{2 a^{4}}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{3}}+\frac{3 \,{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{2 a^{4}}-\frac{3 b \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{4}}-\frac{d^{2} {\mathrm e}^{d x +c}}{4 a^{2} b \left(\frac{a d}{b}+d x \right)^{2}}-\frac{d^{2} {\mathrm e}^{d x +c}}{4 a^{2} b \left(\frac{a d}{b}+d x \right)}-\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{4 a^{2} b}-\frac{d \,{\mathrm e}^{d x +c}}{a^{3} \left(\frac{a d}{b}+d x \right)}-\frac{d \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{a^{3}}-\frac{{\mathrm e}^{d x +c}}{2 a^{3} x}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{3}}+\frac{3 b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{4}}"," ",0,"1/4*exp(-d*x-c)/a^2*x*d^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b+1/4*exp(-d*x-c)/a*d^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)-3/2*exp(-d*x-c)/a^3*x*d^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b^2-9/4*exp(-d*x-c)/a^2*d^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b-1/2*exp(-d*x-c)/a/x*d^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)-1/4/b/a^2*d^2*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)+d/a^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-3/2*b/a^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)+1/2*d/a^3*exp(-c)*Ei(1,d*x)+3/2/a^4*exp(-c)*Ei(1,d*x)*b-3/2*b/a^4*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/4/a^2*d^2/b*exp(d*x+c)/(a*d/b+d*x)^2-1/4/a^2*d^2/b*exp(d*x+c)/(a*d/b+d*x)-1/4/a^2*d^2/b*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-d/a^3*exp(d*x+c)/(a*d/b+d*x)-d/a^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)-1/2/a^3/x*exp(d*x+c)-1/2*d/a^3*exp(c)*Ei(1,-d*x)+3/2/a^4*b*exp(c)*Ei(1,-d*x)","B"
39,1,760,367,0.143000," ","int(cosh(d*x+c)/x^3/(b*x+a)^3,x)","\frac{d^{3} {\mathrm e}^{-d x -c} b}{4 a^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{3 d^{2} {\mathrm e}^{-d x -c} x \,b^{3}}{a^{4} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{3} {\mathrm e}^{-d x -c}}{4 a x \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{9 d^{2} {\mathrm e}^{-d x -c} b^{2}}{2 a^{3} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{2} {\mathrm e}^{-d x -c} b}{a^{2} x \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}-\frac{d^{2} {\mathrm e}^{-d x -c}}{4 a \,x^{2} \left(b^{2} d^{2} x^{2}+2 a b \,d^{2} x +a^{2} d^{2}\right)}+\frac{d^{2} {\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right)}{4 a^{3}}-\frac{3 d \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) b}{2 a^{4}}+\frac{3 \,{\mathrm e}^{\frac{d a -c b}{b}} \Ei \left(1, d x +c +\frac{d a -c b}{b}\right) b^{2}}{a^{5}}-\frac{d^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4 a^{3}}-\frac{3 d \,{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{2 a^{4}}-\frac{3 \,{\mathrm e}^{-c} \Ei \left(1, d x \right) b^{2}}{a^{5}}+\frac{3 b^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{a^{5}}+\frac{d^{2} {\mathrm e}^{d x +c}}{4 a^{3} \left(\frac{a d}{b}+d x \right)^{2}}+\frac{d^{2} {\mathrm e}^{d x +c}}{4 a^{3} \left(\frac{a d}{b}+d x \right)}+\frac{d^{2} {\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{4 a^{3}}+\frac{3 d b \,{\mathrm e}^{d x +c}}{2 a^{4} \left(\frac{a d}{b}+d x \right)}+\frac{3 d b \,{\mathrm e}^{-\frac{d a -c b}{b}} \Ei \left(1, -d x -c -\frac{d a -c b}{b}\right)}{2 a^{4}}+\frac{3 b \,{\mathrm e}^{d x +c}}{2 a^{4} x}+\frac{3 d b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{4}}-\frac{{\mathrm e}^{d x +c}}{4 a^{3} x^{2}}-\frac{d \,{\mathrm e}^{d x +c}}{4 a^{3} x}-\frac{d^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4 a^{3}}-\frac{3 b^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{a^{5}}"," ",0,"1/4*d^3*exp(-d*x-c)/a^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b+3*d^2*exp(-d*x-c)/a^4*x/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b^3+1/4*d^3*exp(-d*x-c)/a/x/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)+9/2*d^2*exp(-d*x-c)/a^3/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b^2+d^2*exp(-d*x-c)/a^2/x/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)*b-1/4*d^2*exp(-d*x-c)/a/x^2/(b^2*d^2*x^2+2*a*b*d^2*x+a^2*d^2)+1/4*d^2/a^3*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)-3/2*d/a^4*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*b+3/a^5*exp((a*d-b*c)/b)*Ei(1,d*x+c+(a*d-b*c)/b)*b^2-1/4*d^2/a^3*exp(-c)*Ei(1,d*x)-3/2*d/a^4*exp(-c)*Ei(1,d*x)*b-3/a^5*exp(-c)*Ei(1,d*x)*b^2+3*b^2/a^5*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+1/4*d^2/a^3*exp(d*x+c)/(a*d/b+d*x)^2+1/4*d^2/a^3*exp(d*x+c)/(a*d/b+d*x)+1/4*d^2/a^3*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+3/2*d/a^4*b*exp(d*x+c)/(a*d/b+d*x)+3/2*d/a^4*b*exp(-(a*d-b*c)/b)*Ei(1,-d*x-c-(a*d-b*c)/b)+3/2/a^4*b/x*exp(d*x+c)+3/2*d/a^4*b*exp(c)*Ei(1,-d*x)-1/4/a^3/x^2*exp(d*x+c)-1/4*d/a^3/x*exp(d*x+c)-1/4*d^2/a^3*exp(c)*Ei(1,-d*x)-3/a^5*b^2*exp(c)*Ei(1,-d*x)","B"
40,1,447,139,0.042000," ","int(x^3*(b*x^2+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{2}}-\frac{5 b c \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{2}}+\frac{10 b \,c^{2} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}-\frac{10 b \,c^{3} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}+\frac{5 b \,c^{4} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}-\frac{b \,c^{5} \sinh \left(d x +c \right)}{d^{2}}+a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)-3 a c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)+3 a \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-a \,c^{3} \sinh \left(d x +c \right)}{d^{4}}"," ",0,"1/d^4*(1/d^2*b*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))-5/d^2*b*c*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))+10/d^2*b*c^2*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-10/d^2*b*c^3*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+5/d^2*b*c^4*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-1/d^2*b*c^5*sinh(d*x+c)+a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3*a*c*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3*a*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-a*c^3*sinh(d*x+c))","B"
41,1,298,109,0.044000," ","int(x^2*(b*x^2+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{4 b c \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}+\frac{6 b \,c^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{4 b \,c^{3} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+\frac{b \,c^{4} \sinh \left(d x +c \right)}{d^{2}}+a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)-2 a c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+a \,c^{2} \sinh \left(d x +c \right)}{d^{3}}"," ",0,"1/d^3*(1/d^2*b*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-4/d^2*b*c*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+6/d^2*b*c^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-4/d^2*b*c^3*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+1/d^2*b*c^4*sinh(d*x+c)+a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2*a*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a*c^2*sinh(d*x+c))","B"
42,1,183,79,0.041000," ","int(x*(b*x^2+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}-\frac{3 b c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}+\frac{3 b \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-\frac{b \,c^{3} \sinh \left(d x +c \right)}{d^{2}}-a c \sinh \left(d x +c \right)}{d^{2}}"," ",0,"1/d^2*(1/d^2*b*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3/d^2*b*c*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3/d^2*b*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-1/d^2*b*c^3*sinh(d*x+c)-a*c*sinh(d*x+c))","B"
43,1,97,51,0.044000," ","int((b*x^2+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{2 b c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+\frac{b \,c^{2} \sinh \left(d x +c \right)}{d^{2}}+a \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(1/d^2*b*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2/d^2*b*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+1/d^2*b*c^2*sinh(d*x+c)+a*sinh(d*x+c))","A"
44,1,81,41,0.101000," ","int((b*x^2+a)*cosh(d*x+c)/x,x)","-\frac{a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b \,{\mathrm e}^{-d x -c} x}{2 d}-\frac{b \,{\mathrm e}^{-d x -c}}{2 d^{2}}-\frac{a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b \,{\mathrm e}^{d x +c} x}{2 d}-\frac{b \,{\mathrm e}^{d x +c}}{2 d^{2}}"," ",0,"-1/2*a*exp(-c)*Ei(1,d*x)-1/2/d*b*exp(-d*x-c)*x-1/2/d^2*b*exp(-d*x-c)-1/2*a*exp(c)*Ei(1,-d*x)+1/2/d*b*exp(d*x+c)*x-1/2/d^2*b*exp(d*x+c)","A"
45,1,81,42,0.110000," ","int((b*x^2+a)*cosh(d*x+c)/x^2,x)","-\frac{a \,{\mathrm e}^{-d x -c}}{2 x}+\frac{d a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b \,{\mathrm e}^{-d x -c}}{2 d}-\frac{a \,{\mathrm e}^{d x +c}}{2 x}-\frac{d a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b \,{\mathrm e}^{d x +c}}{2 d}"," ",0,"-1/2*a*exp(-d*x-c)/x+1/2*d*a*exp(-c)*Ei(1,d*x)-1/2/d*b*exp(-d*x-c)-1/2*a/x*exp(d*x+c)-1/2*d*a*exp(c)*Ei(1,-d*x)+1/2/d*b*exp(d*x+c)","A"
46,1,110,66,0.112000," ","int((b*x^2+a)*cosh(d*x+c)/x^3,x)","\frac{d a \,{\mathrm e}^{-d x -c}}{4 x}-\frac{a \,{\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{a \,{\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d a \,{\mathrm e}^{d x +c}}{4 x}-\frac{d^{2} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}-\frac{b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}"," ",0,"1/4*d*a*exp(-d*x-c)/x-1/4*a*exp(-d*x-c)/x^2-1/4*d^2*a*exp(-c)*Ei(1,d*x)-1/2*b*exp(-c)*Ei(1,d*x)-1/4*a/x^2*exp(d*x+c)-1/4*d*a/x*exp(d*x+c)-1/4*d^2*a*exp(c)*Ei(1,-d*x)-1/2*b*exp(c)*Ei(1,-d*x)","A"
47,1,172,95,0.120000," ","int((b*x^2+a)*cosh(d*x+c)/x^4,x)","-\frac{d^{2} a \,{\mathrm e}^{-d x -c}}{12 x}+\frac{d a \,{\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{a \,{\mathrm e}^{-d x -c}}{6 x^{3}}+\frac{d^{3} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}-\frac{b \,{\mathrm e}^{-d x -c}}{2 x}+\frac{d b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{a \,{\mathrm e}^{d x +c}}{6 x^{3}}-\frac{d a \,{\mathrm e}^{d x +c}}{12 x^{2}}-\frac{d^{2} a \,{\mathrm e}^{d x +c}}{12 x}-\frac{d^{3} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}-\frac{b \,{\mathrm e}^{d x +c}}{2 x}-\frac{d b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}"," ",0,"-1/12*d^2*a*exp(-d*x-c)/x+1/12*d*a*exp(-d*x-c)/x^2-1/6*a*exp(-d*x-c)/x^3+1/12*d^3*a*exp(-c)*Ei(1,d*x)-1/2*b*exp(-d*x-c)/x+1/2*d*b*exp(-c)*Ei(1,d*x)-1/6*a/x^3*exp(d*x+c)-1/12*d*a/x^2*exp(d*x+c)-1/12*d^2*a/x*exp(d*x+c)-1/12*d^3*a*exp(c)*Ei(1,-d*x)-1/2*b/x*exp(d*x+c)-1/2*d*b*exp(c)*Ei(1,-d*x)","A"
48,1,238,129,0.122000," ","int((b*x^2+a)*cosh(d*x+c)/x^5,x)","\frac{d b \,{\mathrm e}^{-d x -c}}{4 x}-\frac{b \,{\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}+\frac{d^{3} a \,{\mathrm e}^{-d x -c}}{48 x}-\frac{d^{2} a \,{\mathrm e}^{-d x -c}}{48 x^{2}}+\frac{d a \,{\mathrm e}^{-d x -c}}{24 x^{3}}-\frac{a \,{\mathrm e}^{-d x -c}}{8 x^{4}}-\frac{d^{4} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{48}-\frac{b \,{\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d b \,{\mathrm e}^{d x +c}}{4 x}-\frac{d^{2} b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}-\frac{a \,{\mathrm e}^{d x +c}}{8 x^{4}}-\frac{d a \,{\mathrm e}^{d x +c}}{24 x^{3}}-\frac{d^{2} a \,{\mathrm e}^{d x +c}}{48 x^{2}}-\frac{d^{3} a \,{\mathrm e}^{d x +c}}{48 x}-\frac{d^{4} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{48}"," ",0,"1/4*d*b*exp(-d*x-c)/x-1/4*b*exp(-d*x-c)/x^2-1/4*d^2*b*exp(-c)*Ei(1,d*x)+1/48*d^3*a*exp(-d*x-c)/x-1/48*d^2*a*exp(-d*x-c)/x^2+1/24*d*a*exp(-d*x-c)/x^3-1/8*a*exp(-d*x-c)/x^4-1/48*d^4*a*exp(-c)*Ei(1,d*x)-1/4*b/x^2*exp(d*x+c)-1/4*d*b/x*exp(d*x+c)-1/4*d^2*b*exp(c)*Ei(1,-d*x)-1/8*a/x^4*exp(d*x+c)-1/24*d*a/x^3*exp(d*x+c)-1/48*d^2*a/x^2*exp(d*x+c)-1/48*d^3*a/x*exp(d*x+c)-1/48*d^4*a*exp(c)*Ei(1,-d*x)","A"
49,1,738,234,0.046000," ","int(x^2*(b*x^2+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{6} \sinh \left(d x +c \right)-6 \left(d x +c \right)^{5} \cosh \left(d x +c \right)+30 \left(d x +c \right)^{4} \sinh \left(d x +c \right)-120 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+360 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-720 \left(d x +c \right) \cosh \left(d x +c \right)+720 \sinh \left(d x +c \right)\right)}{d^{4}}+\frac{15 b^{2} c^{4} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{4}}+\frac{2 b a \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{20 b^{2} c^{3} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{4}}-\frac{6 b^{2} c \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{4}}+\frac{15 b^{2} c^{2} \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{4}}+\frac{b^{2} c^{6} \sinh \left(d x +c \right)}{d^{4}}-2 a^{2} c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+a^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)+\frac{2 b \,c^{4} a \sinh \left(d x +c \right)}{d^{2}}-\frac{6 b^{2} c^{5} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{4}}+a^{2} c^{2} \sinh \left(d x +c \right)-\frac{8 b \,c^{3} a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}-\frac{8 b a c \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}+\frac{12 b \,c^{2} a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}}{d^{3}}"," ",0,"1/d^3*(1/d^4*b^2*((d*x+c)^6*sinh(d*x+c)-6*(d*x+c)^5*cosh(d*x+c)+30*(d*x+c)^4*sinh(d*x+c)-120*(d*x+c)^3*cosh(d*x+c)+360*(d*x+c)^2*sinh(d*x+c)-720*(d*x+c)*cosh(d*x+c)+720*sinh(d*x+c))+15/d^4*b^2*c^4*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+2/d^2*b*a*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-20/d^4*b^2*c^3*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-6/d^4*b^2*c*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))+15/d^4*b^2*c^2*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))+1/d^4*b^2*c^6*sinh(d*x+c)-2*a^2*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+2/d^2*b*c^4*a*sinh(d*x+c)-6/d^4*b^2*c^5*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a^2*c^2*sinh(d*x+c)-8/d^2*b*c^3*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-8/d^2*b*a*c*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+12/d^2*b*c^2*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c)))","B"
50,1,513,184,0.045000," ","int(x*(b*x^2+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{4}}-\frac{5 b^{2} c \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{4}}+\frac{10 b^{2} c^{2} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{4}}+\frac{2 b a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{2}}-\frac{10 b^{2} c^{3} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{4}}-\frac{6 b c a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}+\frac{5 b^{2} c^{4} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{4}}+\frac{6 b \,c^{2} a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+a^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-\frac{b^{2} c^{5} \sinh \left(d x +c \right)}{d^{4}}-\frac{2 b \,c^{3} a \sinh \left(d x +c \right)}{d^{2}}-c \,a^{2} \sinh \left(d x +c \right)}{d^{2}}"," ",0,"1/d^2*(1/d^4*b^2*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))-5/d^4*b^2*c*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))+10/d^4*b^2*c^2*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+2/d^2*b*a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-10/d^4*b^2*c^3*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-6/d^2*b*c*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+5/d^4*b^2*c^4*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+6/d^2*b*c^2*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-1/d^4*b^2*c^5*sinh(d*x+c)-2/d^2*b*c^3*a*sinh(d*x+c)-c*a^2*sinh(d*x+c))","B"
51,1,332,136,0.046000," ","int((b*x^2+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{4}}-\frac{4 b^{2} c \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{4}}+\frac{6 b^{2} c^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{4}}+\frac{2 b a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{2}}-\frac{4 b^{2} c^{3} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{4}}-\frac{4 b c a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{2}}+\frac{b^{2} c^{4} \sinh \left(d x +c \right)}{d^{4}}+\frac{2 b \,c^{2} a \sinh \left(d x +c \right)}{d^{2}}+a^{2} \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(1/d^4*b^2*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-4/d^4*b^2*c*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+6/d^4*b^2*c^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+2/d^2*b*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-4/d^4*b^2*c^3*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-4/d^2*b*c*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+1/d^4*b^2*c^4*sinh(d*x+c)+2/d^2*b*c^2*a*sinh(d*x+c)+a^2*sinh(d*x+c))","B"
52,1,226,110,0.147000," ","int((b*x^2+a)^2*cosh(d*x+c)/x,x)","-\frac{3 b^{2} {\mathrm e}^{d x +c} x^{2}}{2 d^{2}}+\frac{3 b^{2} {\mathrm e}^{d x +c} x}{d^{3}}+\frac{b^{2} {\mathrm e}^{d x +c} x^{3}}{2 d}-\frac{3 b^{2} {\mathrm e}^{-d x -c} x}{d^{3}}-\frac{b^{2} {\mathrm e}^{-d x -c} x^{3}}{2 d}-\frac{3 b^{2} {\mathrm e}^{-d x -c} x^{2}}{2 d^{2}}-\frac{a b \,{\mathrm e}^{-d x -c}}{d^{2}}-\frac{a b \,{\mathrm e}^{d x +c}}{d^{2}}-\frac{a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{3 b^{2} {\mathrm e}^{d x +c}}{d^{4}}-\frac{3 b^{2} {\mathrm e}^{-d x -c}}{d^{4}}-\frac{a b \,{\mathrm e}^{-d x -c} x}{d}+\frac{a b \,{\mathrm e}^{d x +c} x}{d}"," ",0,"-3/2/d^2*b^2*exp(d*x+c)*x^2+3/d^3*b^2*exp(d*x+c)*x+1/2/d*b^2*exp(d*x+c)*x^3-3/d^3*b^2*exp(-d*x-c)*x-1/2/d*b^2*exp(-d*x-c)*x^3-3/2/d^2*b^2*exp(-d*x-c)*x^2-a/d^2*b*exp(-d*x-c)-a/d^2*b*exp(d*x+c)-1/2*a^2*exp(-c)*Ei(1,d*x)-1/2*a^2*exp(c)*Ei(1,-d*x)-3/d^4*b^2*exp(d*x+c)-3/d^4*b^2*exp(-d*x-c)-a/d*b*exp(-d*x-c)*x+a/d*b*exp(d*x+c)*x","B"
53,1,190,95,0.164000," ","int((b*x^2+a)^2*cosh(d*x+c)/x^2,x)","-\frac{b^{2} {\mathrm e}^{-d x -c} x}{d^{2}}-\frac{b^{2} {\mathrm e}^{-d x -c} x^{2}}{2 d}-\frac{a b \,{\mathrm e}^{-d x -c}}{d}-\frac{a^{2} {\mathrm e}^{-d x -c}}{2 x}+\frac{d \,a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b^{2} {\mathrm e}^{-d x -c}}{d^{3}}+\frac{b^{2} {\mathrm e}^{d x +c} x^{2}}{2 d}-\frac{b^{2} {\mathrm e}^{d x +c} x}{d^{2}}+\frac{a b \,{\mathrm e}^{d x +c}}{d}-\frac{a^{2} {\mathrm e}^{d x +c}}{2 x}-\frac{d \,a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b^{2} {\mathrm e}^{d x +c}}{d^{3}}"," ",0,"-1/d^2*b^2*exp(-d*x-c)*x-1/2/d*b^2*exp(-d*x-c)*x^2-a/d*b*exp(-d*x-c)-1/2*a^2*exp(-d*x-c)/x+1/2*d*a^2*exp(-c)*Ei(1,d*x)-1/d^3*b^2*exp(-d*x-c)+1/2/d*b^2*exp(d*x+c)*x^2-1/d^2*b^2*exp(d*x+c)*x+a/d*b*exp(d*x+c)-1/2*a^2/x*exp(d*x+c)-1/2*d*a^2*exp(c)*Ei(1,-d*x)+1/d^3*b^2*exp(d*x+c)","A"
54,1,188,106,0.171000," ","int((b*x^2+a)^2*cosh(d*x+c)/x^3,x)","-\frac{b^{2} {\mathrm e}^{-d x -c} x}{2 d}-a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{4 x}-\frac{a^{2} {\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{b^{2} {\mathrm e}^{-d x -c}}{2 d^{2}}+\frac{b^{2} {\mathrm e}^{d x +c} x}{2 d}-\frac{d^{2} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}-a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)-\frac{a^{2} {\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{4 x}-\frac{b^{2} {\mathrm e}^{d x +c}}{2 d^{2}}"," ",0,"-1/2/d*b^2*exp(-d*x-c)*x-a*b*exp(-c)*Ei(1,d*x)+1/4*d*a^2*exp(-d*x-c)/x-1/4*a^2*exp(-d*x-c)/x^2-1/4*d^2*a^2*exp(-c)*Ei(1,d*x)-1/2/d^2*b^2*exp(-d*x-c)+1/2/d*b^2*exp(d*x+c)*x-1/4*d^2*a^2*exp(c)*Ei(1,-d*x)-a*b*exp(c)*Ei(1,-d*x)-1/4*a^2/x^2*exp(d*x+c)-1/4*d*a^2/x*exp(d*x+c)-1/2/d^2*b^2*exp(d*x+c)","A"
55,1,222,123,0.183000," ","int((b*x^2+a)^2*cosh(d*x+c)/x^4,x)","\frac{d^{3} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}-\frac{d^{2} a^{2} {\mathrm e}^{-d x -c}}{12 x}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{a^{2} {\mathrm e}^{-d x -c}}{6 x^{3}}-\frac{b^{2} {\mathrm e}^{-d x -c}}{2 d}-\frac{a b \,{\mathrm e}^{-d x -c}}{x}+d a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)-\frac{a^{2} {\mathrm e}^{d x +c}}{6 x^{3}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{12 x^{2}}-\frac{d^{3} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}-\frac{d^{2} a^{2} {\mathrm e}^{d x +c}}{12 x}-\frac{a b \,{\mathrm e}^{d x +c}}{x}-d a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)+\frac{b^{2} {\mathrm e}^{d x +c}}{2 d}"," ",0,"1/12*d^3*a^2*exp(-c)*Ei(1,d*x)-1/12*d^2*a^2*exp(-d*x-c)/x+1/12*d*a^2*exp(-d*x-c)/x^2-1/6*a^2*exp(-d*x-c)/x^3-1/2/d*b^2*exp(-d*x-c)-a*b*exp(-d*x-c)/x+d*a*b*exp(-c)*Ei(1,d*x)-1/6*a^2/x^3*exp(d*x+c)-1/12*d*a^2/x^2*exp(d*x+c)-1/12*d^3*a^2*exp(c)*Ei(1,-d*x)-1/12*d^2*a^2/x*exp(d*x+c)-a*b/x*exp(d*x+c)-d*a*b*exp(c)*Ei(1,-d*x)+1/2/d*b^2*exp(d*x+c)","A"
56,1,291,163,0.196000," ","int((b*x^2+a)^2*cosh(d*x+c)/x^5,x)","-\frac{b^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}+\frac{d^{3} a^{2} {\mathrm e}^{-d x -c}}{48 x}-\frac{d^{2} a^{2} {\mathrm e}^{-d x -c}}{48 x^{2}}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{24 x^{3}}-\frac{a^{2} {\mathrm e}^{-d x -c}}{8 x^{4}}+\frac{d a b \,{\mathrm e}^{-d x -c}}{2 x}-\frac{a b \,{\mathrm e}^{-d x -c}}{2 x^{2}}-\frac{d^{2} a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{d^{4} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{48}-\frac{a b \,{\mathrm e}^{d x +c}}{2 x^{2}}-\frac{d a b \,{\mathrm e}^{d x +c}}{2 x}-\frac{d^{2} a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{a^{2} {\mathrm e}^{d x +c}}{8 x^{4}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{24 x^{3}}-\frac{d^{2} a^{2} {\mathrm e}^{d x +c}}{48 x^{2}}-\frac{d^{3} a^{2} {\mathrm e}^{d x +c}}{48 x}-\frac{b^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{d^{4} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{48}"," ",0,"-1/2*b^2*exp(-c)*Ei(1,d*x)+1/48*d^3*a^2*exp(-d*x-c)/x-1/48*d^2*a^2*exp(-d*x-c)/x^2+1/24*d*a^2*exp(-d*x-c)/x^3-1/8*a^2*exp(-d*x-c)/x^4+1/2*d*a*b*exp(-d*x-c)/x-1/2*a*b*exp(-d*x-c)/x^2-1/2*d^2*a*b*exp(-c)*Ei(1,d*x)-1/48*d^4*a^2*exp(-c)*Ei(1,d*x)-1/2*a*b/x^2*exp(d*x+c)-1/2*d*a*b/x*exp(d*x+c)-1/2*d^2*a*b*exp(c)*Ei(1,-d*x)-1/8*a^2/x^4*exp(d*x+c)-1/24*d*a^2/x^3*exp(d*x+c)-1/48*d^2*a^2/x^2*exp(d*x+c)-1/48*d^3*a^2/x*exp(d*x+c)-1/2*b^2*exp(c)*Ei(1,-d*x)-1/48*d^4*a^2*exp(c)*Ei(1,-d*x)","A"
57,1,369,217,0.293000," ","int(x^4*cosh(d*x+c)/(b*x^2+a),x)","\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) a^{2}}{4 b^{2} \sqrt{-a b}}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) a^{2}}{4 b^{2} \sqrt{-a b}}-\frac{{\mathrm e}^{-d x -c} x^{2}}{2 d b}+\frac{{\mathrm e}^{-d x -c} a}{2 d \,b^{2}}-\frac{{\mathrm e}^{-d x -c} x}{d^{2} b}-\frac{{\mathrm e}^{-d x -c}}{d^{3} b}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) a^{2}}{4 b^{2} \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) a^{2}}{4 b^{2} \sqrt{-a b}}+\frac{{\mathrm e}^{d x +c} x^{2}}{2 d b}-\frac{a \,{\mathrm e}^{d x +c}}{2 d \,b^{2}}-\frac{{\mathrm e}^{d x +c} x}{d^{2} b}+\frac{{\mathrm e}^{d x +c}}{d^{3} b}"," ",0,"1/4/b^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*a^2-1/4/b^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*a^2-1/2/d*exp(-d*x-c)/b*x^2+1/2/d*exp(-d*x-c)/b^2*a-1/d^2*exp(-d*x-c)/b*x-1/d^3*exp(-d*x-c)/b-1/4/b^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*a^2+1/4/b^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*a^2+1/2/d*exp(d*x+c)/b*x^2-1/2/d/b^2*a*exp(d*x+c)-1/d^2/b*exp(d*x+c)*x+1/d^3/b*exp(d*x+c)","A"
58,1,268,169,0.214000," ","int(x^3*cosh(d*x+c)/(b*x^2+a),x)","-\frac{{\mathrm e}^{-d x -c} x}{2 d b}-\frac{{\mathrm e}^{-d x -c}}{2 d^{2} b}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) a}{4 b^{2}}+\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) a}{4 b^{2}}+\frac{{\mathrm e}^{d x +c} x}{2 d b}-\frac{{\mathrm e}^{d x +c}}{2 d^{2} b}+\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) a}{4 b^{2}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) a}{4 b^{2}}"," ",0,"-1/2/d*exp(-d*x-c)/b*x-1/2/d^2*exp(-d*x-c)/b+1/4/b^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*a+1/4/b^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*a+1/2/d/b*exp(d*x+c)*x-1/2/d^2/b*exp(d*x+c)+1/4/b^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*a+1/4/b^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*a","A"
59,1,259,170,0.148000," ","int(x^2*cosh(d*x+c)/(b*x^2+a),x)","-\frac{{\mathrm e}^{-d x -c}}{2 d b}-\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) a}{4 b \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) a}{4 b \sqrt{-a b}}+\frac{{\mathrm e}^{d x +c}}{2 d b}+\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) a}{4 b \sqrt{-a b}}-\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) a}{4 b \sqrt{-a b}}"," ",0,"-1/2/d*exp(-d*x-c)/b-1/4/b/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*a+1/4/b/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*a+1/2/d/b*exp(d*x+c)+1/4/b/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*a-1/4/b/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*a","A"
60,1,200,137,0.110000," ","int(x*cosh(d*x+c)/(b*x^2+a),x)","-\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 b}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 b}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 b}-\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 b}"," ",0,"-1/4/b*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/4/b*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4/b*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4/b*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
61,1,212,157,0.102000," ","int(cosh(d*x+c)/(b*x^2+a),x)","-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 \sqrt{-a b}}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 \sqrt{-a b}}"," ",0,"-1/4/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/4/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
62,1,227,157,0.103000," ","int(cosh(d*x+c)/x/(b*x^2+a),x)","-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a}+\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a}+\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a}"," ",0,"-1/2/a*exp(-c)*Ei(1,d*x)+1/4/a*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/a*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/2/a*exp(c)*Ei(1,-d*x)+1/4/a*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/a*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
63,1,288,193,0.122000," ","int(cosh(d*x+c)/x^2/(b*x^2+a),x)","-\frac{{\mathrm e}^{-d x -c}}{2 a x}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a}+\frac{b \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a \sqrt{-a b}}-\frac{b \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a \sqrt{-a b}}-\frac{{\mathrm e}^{d x +c}}{2 a x}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a}-\frac{b \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a \sqrt{-a b}}+\frac{b \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a \sqrt{-a b}}"," ",0,"-1/2*exp(-d*x-c)/a/x+1/2*d/a*exp(-c)*Ei(1,d*x)+1/4*b/a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4*b/a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/2*exp(d*x+c)/a/x-1/2*d/a*exp(c)*Ei(1,-d*x)-1/4*b/a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/4*b/a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)","A"
64,1,330,222,0.115000," ","int(cosh(d*x+c)/x^3/(b*x^2+a),x)","\frac{d \,{\mathrm e}^{-d x -c}}{4 a x}-\frac{{\mathrm e}^{-d x -c}}{4 a \,x^{2}}-\frac{d^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4 a}+\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{2 a^{2}}-\frac{b \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a^{2}}-\frac{b \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a^{2}}-\frac{d \,{\mathrm e}^{d x +c}}{4 a x}-\frac{{\mathrm e}^{d x +c}}{4 a \,x^{2}}-\frac{d^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4 a}+\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right) b}{2 a^{2}}-\frac{b \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a^{2}}-\frac{b \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a^{2}}"," ",0,"1/4*d*exp(-d*x-c)/a/x-1/4*exp(-d*x-c)/a/x^2-1/4*d^2/a*exp(-c)*Ei(1,d*x)+1/2/a^2*exp(-c)*Ei(1,d*x)*b-1/4*b/a^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4*b/a^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/4*d*exp(d*x+c)/a/x-1/4*exp(d*x+c)/a/x^2-1/4*d^2/a*exp(c)*Ei(1,-d*x)+1/2/a^2*exp(c)*Ei(1,-d*x)*b-1/4*b/a^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4*b/a^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
65,1,532,349,0.406000," ","int(x^4*cosh(d*x+c)/(b*x^2+a)^2,x)","\frac{d^{2} {\mathrm e}^{-d x -c} a x}{4 b^{2} \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{{\mathrm e}^{-d x -c}}{2 d \,b^{2}}-\frac{d a \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{3}}-\frac{d a \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{3}}+\frac{3 a \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{2} \sqrt{-a b}}-\frac{3 a \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{2} \sqrt{-a b}}+\frac{{\mathrm e}^{d x +c}}{2 d \,b^{2}}+\frac{d^{2} {\mathrm e}^{d x +c} a x}{4 b^{2} \left(b \,d^{2} x^{2}+a \,d^{2}\right)}+\frac{d a \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{3}}+\frac{d a \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{3}}-\frac{3 a \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{2} \sqrt{-a b}}+\frac{3 a \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{2} \sqrt{-a b}}"," ",0,"1/4*d^2*exp(-d*x-c)*a/b^2/(b*d^2*x^2+a*d^2)*x-1/2/d*exp(-d*x-c)/b^2-1/8*d/b^3*a*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/8*d/b^3*a*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+3/8/b^2*a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-3/8/b^2*a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/2/d/b^2*exp(d*x+c)+1/4*d^2*exp(d*x+c)*a/b^2/(b*d^2*x^2+a*d^2)*x+1/8*d/b^3*a*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/8*d/b^3*a*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-3/8/b^2*a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+3/8/b^2*a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)","A"
66,1,495,331,0.278000," ","int(x^3*cosh(d*x+c)/(b*x^2+a)^2,x)","\frac{d^{2} {\mathrm e}^{-d x -c} a}{4 b^{2} \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{d a \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{2} \sqrt{-a b}}+\frac{d a \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{2} \sqrt{-a b}}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 b^{2}}-\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 b^{2}}+\frac{d^{2} {\mathrm e}^{d x +c} a}{4 b^{2} \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 b^{2}}-\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 b^{2}}+\frac{d a \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{2} \sqrt{-a b}}-\frac{d a \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{2} \sqrt{-a b}}"," ",0,"1/4*d^2*exp(-d*x-c)*a/b^2/(b*d^2*x^2+a*d^2)-1/8*d/b^2*a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8*d/b^2*a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/4/b^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4/b^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/4*d^2*exp(d*x+c)*a/b^2/(b*d^2*x^2+a*d^2)-1/4/b^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4/b^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/8*d/b^2*a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/8*d/b^2*a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
67,1,491,318,0.226000," ","int(x^2*cosh(d*x+c)/(b*x^2+a)^2,x)","-\frac{d^{2} {\mathrm e}^{-d x -c} x}{4 b \left(b \,d^{2} x^{2}+a \,d^{2}\right)}+\frac{d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{2}}+\frac{d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{2}}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b \sqrt{-a b}}-\frac{d^{2} {\mathrm e}^{d x +c} x}{4 b \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b^{2}}-\frac{d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b^{2}}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b \sqrt{-a b}}"," ",0,"-1/4*d^2*exp(-d*x-c)/b/(b*d^2*x^2+a*d^2)*x+1/8*d/b^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8*d/b^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/8/b/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8/b/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/4*d^2*exp(d*x+c)/b/(b*d^2*x^2+a*d^2)*x-1/8*d/b^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/8*d/b^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/8/b/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8/b/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
68,1,291,181,0.182000," ","int(x*cosh(d*x+c)/(b*x^2+a)^2,x)","-\frac{d^{2} {\mathrm e}^{-d x -c}}{4 b \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b \sqrt{-a b}}+\frac{d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b \sqrt{-a b}}-\frac{d^{2} {\mathrm e}^{d x +c}}{4 b \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b \sqrt{-a b}}+\frac{d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b \sqrt{-a b}}"," ",0,"-1/4*d^2*exp(-d*x-c)/b/(b*d^2*x^2+a*d^2)-1/8*d/b/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/8*d/b/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/4*d^2*exp(d*x+c)/b/(b*d^2*x^2+a*d^2)-1/8*d/b/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8*d/b/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
69,1,503,364,0.111000," ","int(cosh(d*x+c)/(b*x^2+a)^2,x)","\frac{d^{2} {\mathrm e}^{-d x -c} x}{4 a \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b a}-\frac{d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b a}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 a \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 a \sqrt{-a b}}+\frac{d^{2} {\mathrm e}^{d x +c} x}{4 a \left(b \,d^{2} x^{2}+a \,d^{2}\right)}+\frac{d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 b a}+\frac{d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 b a}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 a \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 a \sqrt{-a b}}"," ",0,"1/4*d^2*exp(-d*x-c)*x/a/(b*d^2*x^2+a*d^2)-1/8*d/b/a*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/8*d/b/a*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/8/a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8/a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/4*d^2*exp(d*x+c)*x/a/(b*d^2*x^2+a*d^2)+1/8*d/b/a*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8*d/b/a*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/8/a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8/a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
70,1,546,337,0.157000," ","int(cosh(d*x+c)/x/(b*x^2+a)^2,x)","\frac{{\mathrm e}^{-d x -c} d^{2}}{4 a \left(\left(d x +c \right)^{2} b -2 \left(d x +c \right) b c +a \,d^{2}+b \,c^{2}\right)}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{2}}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) d}{8 a \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) d}{8 a \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a^{2}}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a^{2}}+\frac{{\mathrm e}^{d x +c} d^{2}}{4 a \left(\left(d x +c \right)^{2} b -2 \left(d x +c \right) b c +a \,d^{2}+b \,c^{2}\right)}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}+\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) d}{8 a \sqrt{-a b}}-\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) d}{8 a \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a^{2}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a^{2}}"," ",0,"1/4*exp(-d*x-c)*d^2/a/((d*x+c)^2*b-2*(d*x+c)*b*c+a*d^2+b*c^2)-1/2/a^2*exp(-c)*Ei(1,d*x)-1/8/a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*d+1/8/a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*d+1/4/a^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/a^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/4*exp(d*x+c)*d^2/a/((d*x+c)^2*b-2*(d*x+c)*b*c+a*d^2+b*c^2)-1/2/a^2*exp(c)*Ei(1,-d*x)+1/8/a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*d-1/8/a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*d+1/4/a^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/a^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
71,1,595,388,0.174000," ","int(cosh(d*x+c)/x^2/(b*x^2+a)^2,x)","-\frac{3 \,{\mathrm e}^{-d x -c} x \,d^{2} b}{4 a^{2} \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{{\mathrm e}^{-d x -c} d^{2}}{2 a x \left(b \,d^{2} x^{2}+a \,d^{2}\right)}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{2}}+\frac{d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 a^{2}}+\frac{d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 a^{2}}+\frac{3 \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{8 a^{2} \sqrt{-a b}}-\frac{3 \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{8 a^{2} \sqrt{-a b}}-\frac{3 \,{\mathrm e}^{d x +c} x \,d^{2} b}{4 a^{2} \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{{\mathrm e}^{d x +c} d^{2}}{2 a x \left(b \,d^{2} x^{2}+a \,d^{2}\right)}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}-\frac{d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{8 a^{2}}-\frac{d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{8 a^{2}}+\frac{3 \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{8 a^{2} \sqrt{-a b}}-\frac{3 \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{8 a^{2} \sqrt{-a b}}"," ",0,"-3/4*exp(-d*x-c)/a^2*x*d^2/(b*d^2*x^2+a*d^2)*b-1/2*exp(-d*x-c)/a/x*d^2/(b*d^2*x^2+a*d^2)+1/2*d/a^2*exp(-c)*Ei(1,d*x)+1/8*d/a^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/8*d/a^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+3/8/a^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-3/8/a^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b-3/4*exp(d*x+c)/a^2*x*d^2/(b*d^2*x^2+a*d^2)*b-1/2*exp(d*x+c)/a/x*d^2/(b*d^2*x^2+a*d^2)-1/2*d/a^2*exp(c)*Ei(1,-d*x)-1/8*d/a^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/8*d/a^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+3/8/a^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-3/8/a^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b","A"
72,1,820,374,0.477000," ","int(x^3*cosh(d*x+c)/(b*x^2+a)^3,x)","-\frac{d^{2} {\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{3}}-\frac{d^{2} {\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{3}}-\frac{3 d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} \sqrt{-a b}}+\frac{3 d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} \sqrt{-a b}}-\frac{d^{4} {\mathrm e}^{-d x -c} a}{8 b^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{5} {\mathrm e}^{-d x -c} x^{3}}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{5} {\mathrm e}^{-d x -c} a x}{16 b^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{-d x -c} x^{2}}{4 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{2} {\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{3}}-\frac{d^{2} {\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{3}}-\frac{3 d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} \sqrt{-a b}}+\frac{3 d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} \sqrt{-a b}}-\frac{d^{4} {\mathrm e}^{d x +c} a}{8 b^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{d x +c} x^{2}}{4 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{5} {\mathrm e}^{d x +c} x^{3}}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{5} {\mathrm e}^{d x +c} a x}{16 b^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}"," ",0,"-1/32*d^2/b^3*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32*d^2/b^3*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-3/32*d/b^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+3/32*d/b^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/8*d^4*exp(-d*x-c)*a/b^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+1/16*d^5*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3+1/16*d^5*exp(-d*x-c)*a/b^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x-1/4*d^4*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^2-1/32*d^2/b^3*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/32*d^2/b^3*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-3/32*d/b^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+3/32*d/b^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/8*d^4*exp(d*x+c)*a/b^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-1/4*d^4*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^2-1/16*d^5*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3-1/16*d^5*exp(d*x+c)*a/b^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x","B"
73,1,1064,574,0.327000," ","int(x^2*cosh(d*x+c)/(b*x^2+a)^3,x)","\frac{d^{5} {\mathrm e}^{-d x -c} x^{2}}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{4} {\mathrm e}^{-d x -c} x^{3}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{5} {\mathrm e}^{-d x -c} a}{16 b^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{-d x -c} x}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b a \sqrt{-a b}}+\frac{d^{2} {\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} \sqrt{-a b}}-\frac{d^{2} {\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} \sqrt{-a b}}-\frac{d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} a}-\frac{d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} a}-\frac{d^{2} {\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} \sqrt{-a b}}+\frac{d^{2} {\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} \sqrt{-a b}}+\frac{d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} a}+\frac{d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} a}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b a \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{d^{5} {\mathrm e}^{d x +c} x^{2}}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{4} {\mathrm e}^{d x +c} x^{3}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{5} {\mathrm e}^{d x +c} a}{16 b^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{d x +c} x}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}"," ",0,"1/16*d^5*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^2+1/16*d^4*exp(-d*x-c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3+1/16*d^5*exp(-d*x-c)*a/b^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-1/16*d^4*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x+1/32/b/a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32/b/a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d^2/b^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32*d^2/b^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/32*d/b^2/a*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32*d/b^2/a*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/32*d^2/b^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d^2/b^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/32*d/b^2/a*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d/b^2/a*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32/b/a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32/b/a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/16*d^5*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^2+1/16*d^4*exp(d*x+c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3-1/16*d^5*exp(d*x+c)*a/b^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-1/16*d^4*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x","A"
74,1,743,398,0.227000," ","int(x*cosh(d*x+c)/(b*x^2+a)^3,x)","-\frac{d^{5} {\mathrm e}^{-d x -c} x^{3}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{5} {\mathrm e}^{-d x -c} x}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{-d x -c}}{8 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{2} {\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} a}+\frac{d^{2} {\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} a}+\frac{d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b a \sqrt{-a b}}+\frac{d^{5} {\mathrm e}^{d x +c} x^{3}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{5} {\mathrm e}^{d x +c} x}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{d x +c}}{8 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{2} {\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b^{2} a}+\frac{d^{2} {\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b^{2} a}+\frac{d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b a \sqrt{-a b}}"," ",0,"-1/16*d^5*exp(-d*x-c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3-1/16*d^5*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x-1/8*d^4*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+1/32*d^2/b^2/a*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d^2/b^2/a*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/32*d/b/a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/32*d/b/a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/16*d^5*exp(d*x+c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3+1/16*d^5*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x-1/8*d^4*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+1/32*d^2/b^2/a*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/32*d^2/b^2/a*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d/b/a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32*d/b/a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)","A"
75,1,1064,652,0.146000," ","int(cosh(d*x+c)/(b*x^2+a)^3,x)","-\frac{d^{5} {\mathrm e}^{-d x -c} x^{2}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{3 d^{4} {\mathrm e}^{-d x -c} b \,x^{3}}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{5} {\mathrm e}^{-d x -c}}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{5 d^{4} {\mathrm e}^{-d x -c} x}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{2} {\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{d^{2} {\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{3 d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b \,a^{2}}-\frac{3 d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b \,a^{2}}-\frac{3 \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{2} \sqrt{-a b}}+\frac{3 \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{2} \sqrt{-a b}}+\frac{d^{5} {\mathrm e}^{d x +c} x^{2}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{3 d^{4} {\mathrm e}^{d x +c} b \,x^{3}}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{5} {\mathrm e}^{d x +c}}{16 b \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{5 d^{4} {\mathrm e}^{d x +c} x}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{2} {\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b a \sqrt{-a b}}-\frac{d^{2} {\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b a \sqrt{-a b}}+\frac{3 d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 b \,a^{2}}+\frac{3 d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 b \,a^{2}}-\frac{3 \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{2} \sqrt{-a b}}+\frac{3 \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{2} \sqrt{-a b}}"," ",0,"-1/16*d^5*exp(-d*x-c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^2+3/16*d^4*exp(-d*x-c)/a^2*b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3-1/16*d^5*exp(-d*x-c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+5/16*d^4*exp(-d*x-c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x+1/32*d^2/b/a/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/32*d^2/b/a/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-3/32*d/b/a^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-3/32*d/b/a^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-3/32/a^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+3/32/a^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/16*d^5*exp(d*x+c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^2+3/16*d^4*exp(d*x+c)/a^2*b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x^3+1/16*d^5*exp(d*x+c)/b/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+5/16*d^4*exp(d*x+c)/a/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*x+1/32*d^2/b/a/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-1/32*d^2/b/a/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+3/32*d/b/a^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+3/32*d/b/a^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-3/32/a^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+3/32/a^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)","A"
76,1,1090,574,0.178000," ","int(cosh(d*x+c)/x/(b*x^2+a)^3,x)","\frac{{\mathrm e}^{-d x -c} d^{2} \left(\left(d x +c \right)^{3} b -3 \left(d x +c \right)^{2} b c +\left(d x +c \right) a \,d^{2}+3 \left(d x +c \right) b \,c^{2}-a c \,d^{2}-b \,c^{3}+4 \left(d x +c \right)^{2} b -8 \left(d x +c \right) b c +6 a \,d^{2}+4 b \,c^{2}\right)}{16 a^{2} \left(\left(d x +c \right)^{4} b^{2}-4 \left(d x +c \right)^{3} c \,b^{2}+2 \left(d x +c \right)^{2} a b \,d^{2}+6 \left(d x +c \right)^{2} c^{2} b^{2}-4 a b \left(d x +c \right) c \,d^{2}-4 b^{2} \left(d x +c \right) c^{3}+a^{2} d^{4}+2 a b \,c^{2} d^{2}+b^{2} c^{4}\right)}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{3}}-\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) d^{2}}{32 b \,a^{2}}-\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) d^{2}}{32 b \,a^{2}}-\frac{5 \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) d}{32 a^{2} \sqrt{-a b}}+\frac{5 \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) d}{32 a^{2} \sqrt{-a b}}+\frac{{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a^{3}}+\frac{{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a^{3}}-\frac{{\mathrm e}^{d x +c} d^{2} \left(\left(d x +c \right)^{3} b -3 \left(d x +c \right)^{2} b c +\left(d x +c \right) a \,d^{2}+3 \left(d x +c \right) b \,c^{2}-a c \,d^{2}-b \,c^{3}-4 \left(d x +c \right)^{2} b +8 \left(d x +c \right) b c -6 a \,d^{2}-4 b \,c^{2}\right)}{16 a^{2} \left(\left(d x +c \right)^{4} b^{2}-4 \left(d x +c \right)^{3} c \,b^{2}+2 \left(d x +c \right)^{2} a b \,d^{2}+6 \left(d x +c \right)^{2} c^{2} b^{2}-4 a b \left(d x +c \right) c \,d^{2}-4 b^{2} \left(d x +c \right) c^{3}+a^{2} d^{4}+2 a b \,c^{2} d^{2}+b^{2} c^{4}\right)}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{3}}-\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) d^{2}}{32 b \,a^{2}}-\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) d^{2}}{32 b \,a^{2}}-\frac{5 \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) d}{32 a^{2} \sqrt{-a b}}+\frac{5 \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) d}{32 a^{2} \sqrt{-a b}}+\frac{{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{4 a^{3}}+\frac{{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{4 a^{3}}"," ",0,"1/16*exp(-d*x-c)*d^2*((d*x+c)^3*b-3*(d*x+c)^2*b*c+(d*x+c)*a*d^2+3*(d*x+c)*b*c^2-a*c*d^2-b*c^3+4*(d*x+c)^2*b-8*(d*x+c)*b*c+6*a*d^2+4*b*c^2)/a^2/((d*x+c)^4*b^2-4*(d*x+c)^3*c*b^2+2*(d*x+c)^2*a*b*d^2+6*(d*x+c)^2*c^2*b^2-4*a*b*(d*x+c)*c*d^2-4*b^2*(d*x+c)*c^3+a^2*d^4+2*a*b*c^2*d^2+b^2*c^4)-1/2/a^3*exp(-c)*Ei(1,d*x)-1/32/b/a^2*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*d^2-1/32/b/a^2*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*d^2-5/32/a^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*d+5/32/a^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*d+1/4/a^3*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/4/a^3*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/16*exp(d*x+c)*d^2*((d*x+c)^3*b-3*(d*x+c)^2*b*c+(d*x+c)*a*d^2+3*(d*x+c)*b*c^2-a*c*d^2-b*c^3-4*(d*x+c)^2*b+8*(d*x+c)*b*c-6*a*d^2-4*b*c^2)/a^2/((d*x+c)^4*b^2-4*(d*x+c)^3*c*b^2+2*(d*x+c)^2*a*b*d^2+6*(d*x+c)^2*c^2*b^2-4*a*b*(d*x+c)*c*d^2-4*b^2*(d*x+c)*c^3+a^2*d^4+2*a*b*c^2*d^2+b^2*c^4)-1/2/a^3*exp(c)*Ei(1,-d*x)-1/32/b/a^2*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*d^2-1/32/b/a^2*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*d^2-5/32/a^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*d+5/32/a^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*d+1/4/a^3*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+1/4/a^3*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)","A"
77,1,1178,670,0.201000," ","int(cosh(d*x+c)/x^2/(b*x^2+a)^3,x)","\frac{{\mathrm e}^{-d x -c} x^{2} d^{5} b}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{15 \,{\mathrm e}^{-d x -c} x^{3} d^{4} b^{2}}{16 a^{3} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{{\mathrm e}^{-d x -c} d^{5}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{25 \,{\mathrm e}^{-d x -c} x \,d^{4} b}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{{\mathrm e}^{-d x -c} d^{4}}{2 a x \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{3}}+\frac{d^{2} {\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{2} \sqrt{-a b}}-\frac{d^{2} {\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{2} \sqrt{-a b}}+\frac{7 d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{3}}+\frac{7 d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{3}}-\frac{15 \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}+\frac{15 \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}-\frac{{\mathrm e}^{d x +c} x^{2} d^{5} b}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{15 \,{\mathrm e}^{d x +c} x^{3} d^{4} b^{2}}{16 a^{3} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{{\mathrm e}^{d x +c} d^{5}}{16 a \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{25 \,{\mathrm e}^{d x +c} x \,d^{4} b}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{{\mathrm e}^{d x +c} d^{4}}{2 a x \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{3}}-\frac{d^{2} {\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{2} \sqrt{-a b}}+\frac{d^{2} {\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{2} \sqrt{-a b}}-\frac{7 d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{3}}-\frac{7 d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{3}}+\frac{15 \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}-\frac{15 \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}"," ",0,"1/16*exp(-d*x-c)/a^2*x^2*d^5/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-15/16*exp(-d*x-c)/a^3*x^3*d^4/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b^2+1/16*exp(-d*x-c)/a*d^5/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-25/16*exp(-d*x-c)/a^2*x*d^4/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-1/2*exp(-d*x-c)/a/x*d^4/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+1/2*d/a^3*exp(-c)*Ei(1,d*x)+1/32/a^2*d^2/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-1/32/a^2*d^2/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+7/32*d/a^3*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+7/32*d/a^3*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-15/32/a^3/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b+15/32/a^3/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-1/16*exp(d*x+c)/a^2*x^2*d^5/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-15/16*exp(d*x+c)/a^3*x^3*d^4/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b^2-1/16*exp(d*x+c)/a*d^5/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-25/16*exp(d*x+c)/a^2*x*d^4/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-1/2*exp(d*x+c)/a/x*d^4/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-1/2*d/a^3*exp(c)*Ei(1,-d*x)-1/32/a^2*d^2/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32/a^2*d^2/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-7/32*d/a^3*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)-7/32*d/a^3*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)+15/32/a^3/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-15/32/a^3/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b","A"
78,1,1294,629,0.233000," ","int(cosh(d*x+c)/x^3/(b*x^2+a)^3,x)","\frac{3 d^{5} {\mathrm e}^{-d x -c} x^{3} b^{2}}{16 a^{3} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{7 d^{5} {\mathrm e}^{-d x -c} x b}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{3 d^{4} {\mathrm e}^{-d x -c} x^{2} b^{2}}{4 a^{3} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{5} {\mathrm e}^{d x +c}}{4 a x \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{9 d^{4} {\mathrm e}^{d x +c} b}{8 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{4} {\mathrm e}^{d x +c}}{4 a \,x^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{3 d^{5} {\mathrm e}^{d x +c} x^{3} b^{2}}{16 a^{3} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{d^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4 a^{3}}+\frac{3 \,{\mathrm e}^{c} \Ei \left(1, -d x \right) b}{2 a^{4}}+\frac{d^{2} {\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{3}}+\frac{d^{2} {\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{3}}-\frac{3 \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{4 a^{4}}-\frac{3 \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{4 a^{4}}-\frac{d^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4 a^{3}}+\frac{3 \,{\mathrm e}^{-c} \Ei \left(1, d x \right) b}{2 a^{4}}+\frac{d^{2} {\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right)}{32 a^{3}}+\frac{d^{2} {\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right)}{32 a^{3}}-\frac{3 \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{4 a^{4}}-\frac{3 \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{4 a^{4}}-\frac{d^{4} {\mathrm e}^{-d x -c}}{4 a \,x^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{d^{5} {\mathrm e}^{-d x -c}}{4 a x \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{9 d^{4} {\mathrm e}^{-d x -c} b}{8 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{7 d^{5} {\mathrm e}^{d x +c} x b}{16 a^{2} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}-\frac{3 d^{4} {\mathrm e}^{d x +c} x^{2} b^{2}}{4 a^{3} \left(b^{2} d^{4} x^{4}+2 a b \,d^{4} x^{2}+a^{2} d^{4}\right)}+\frac{9 d \,{\mathrm e}^{-\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}-\frac{9 d \,{\mathrm e}^{-\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}-\frac{9 d \,{\mathrm e}^{\frac{d \sqrt{-a b}+c b}{b}} \Ei \left(1, \frac{d \sqrt{-a b}-\left(d x +c \right) b +c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}+\frac{9 d \,{\mathrm e}^{\frac{-d \sqrt{-a b}+c b}{b}} \Ei \left(1, -\frac{d \sqrt{-a b}+\left(d x +c \right) b -c b}{b}\right) b}{32 a^{3} \sqrt{-a b}}"," ",0,"3/16*d^5*exp(-d*x-c)/a^3*x^3/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b^2+7/16*d^5*exp(-d*x-c)/a^2*x/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-3/4*d^4*exp(-d*x-c)/a^3*x^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b^2+9/32*d/a^3/(-a*b)^(1/2)*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-9/32*d/a^3/(-a*b)^(1/2)*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b-1/4*d^5*exp(d*x+c)/a/x/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-9/8*d^4*exp(d*x+c)/a^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-1/4*d^4*exp(d*x+c)/a/x^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-3/16*d^5*exp(d*x+c)/a^3*x^3/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b^2-1/4*d^2/a^3*exp(c)*Ei(1,-d*x)+3/2/a^4*exp(c)*Ei(1,-d*x)*b+1/32*d^2/a^3*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d^2/a^3*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-3/4/a^4*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-3/4/a^4*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b-1/4*d^2/a^3*exp(-c)*Ei(1,d*x)+3/2/a^4*exp(-c)*Ei(1,d*x)*b+1/32*d^2/a^3*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)+1/32*d^2/a^3*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)-3/4/a^4*exp(-(d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b-3/4/a^4*exp(-(-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b-1/4*d^4*exp(-d*x-c)/a/x^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)+1/4*d^5*exp(-d*x-c)/a/x/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)-9/8*d^4*exp(-d*x-c)/a^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-7/16*d^5*exp(d*x+c)/a^2*x/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b-3/4*d^4*exp(d*x+c)/a^3*x^2/(b^2*d^4*x^4+2*a*b*d^4*x^2+a^2*d^4)*b^2-9/32*d/a^3/(-a*b)^(1/2)*exp((d*(-a*b)^(1/2)+c*b)/b)*Ei(1,(d*(-a*b)^(1/2)-(d*x+c)*b+c*b)/b)*b+9/32*d/a^3/(-a*b)^(1/2)*exp((-d*(-a*b)^(1/2)+c*b)/b)*Ei(1,-(d*(-a*b)^(1/2)+(d*x+c)*b-c*b)/b)*b","B"
79,1,551,154,0.042000," ","int(x^3*(b*x^3+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{6} \sinh \left(d x +c \right)-6 \left(d x +c \right)^{5} \cosh \left(d x +c \right)+30 \left(d x +c \right)^{4} \sinh \left(d x +c \right)-120 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+360 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-720 \left(d x +c \right) \cosh \left(d x +c \right)+720 \sinh \left(d x +c \right)\right)}{d^{3}}-\frac{6 b c \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{3}}+\frac{15 b \,c^{2} \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{3}}-\frac{20 b \,c^{3} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{3}}+\frac{15 b \,c^{4} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{3}}-\frac{6 b \,c^{5} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{3}}+\frac{b \,c^{6} \sinh \left(d x +c \right)}{d^{3}}+a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)-3 a c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)+3 a \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)-a \,c^{3} \sinh \left(d x +c \right)}{d^{4}}"," ",0,"1/d^4*(1/d^3*b*((d*x+c)^6*sinh(d*x+c)-6*(d*x+c)^5*cosh(d*x+c)+30*(d*x+c)^4*sinh(d*x+c)-120*(d*x+c)^3*cosh(d*x+c)+360*(d*x+c)^2*sinh(d*x+c)-720*(d*x+c)*cosh(d*x+c)+720*sinh(d*x+c))-6/d^3*b*c*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))+15/d^3*b*c^2*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-20/d^3*b*c^3*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+15/d^3*b*c^4*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-6/d^3*b*c^5*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+1/d^3*b*c^6*sinh(d*x+c)+a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3*a*c*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3*a*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-a*c^3*sinh(d*x+c))","B"
80,1,389,124,0.046000," ","int(x^2*(b*x^3+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{3}}-\frac{5 b c \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{3}}+\frac{10 b \,c^{2} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{3}}-\frac{10 b \,c^{3} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{3}}+\frac{5 b \,c^{4} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{3}}-\frac{b \,c^{5} \sinh \left(d x +c \right)}{d^{3}}+a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)-2 a c \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+a \,c^{2} \sinh \left(d x +c \right)}{d^{3}}"," ",0,"1/d^3*(1/d^3*b*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))-5/d^3*b*c*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))+10/d^3*b*c^2*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-10/d^3*b*c^3*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+5/d^3*b*c^4*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-1/d^3*b*c^5*sinh(d*x+c)+a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-2*a*c*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a*c^2*sinh(d*x+c))","B"
81,1,257,94,0.041000," ","int(x*(b*x^3+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{3}}-\frac{4 b c \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{3}}+\frac{6 b \,c^{2} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{3}}-\frac{4 b \,c^{3} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{3}}+a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+\frac{b \,c^{4} \sinh \left(d x +c \right)}{d^{3}}-a c \sinh \left(d x +c \right)}{d^{2}}"," ",0,"1/d^2*(1/d^3*b*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-4/d^3*b*c*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+6/d^3*b*c^2*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-4/d^3*b*c^3*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+1/d^3*b*c^4*sinh(d*x+c)-a*c*sinh(d*x+c))","B"
82,1,158,66,0.043000," ","int((b*x^3+a)*cosh(d*x+c),x)","\frac{\frac{b \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{3}}-\frac{3 b c \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{3}}+\frac{3 b \,c^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{3}}-\frac{b \,c^{3} \sinh \left(d x +c \right)}{d^{3}}+a \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(1/d^3*b*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-3/d^3*b*c*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+3/d^3*b*c^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-1/d^3*b*c^3*sinh(d*x+c)+a*sinh(d*x+c))","B"
83,1,113,56,0.116000," ","int((b*x^3+a)*cosh(d*x+c)/x,x)","-\frac{b \,{\mathrm e}^{d x +c} x}{d^{2}}+\frac{b \,{\mathrm e}^{d x +c} x^{2}}{2 d}-\frac{b \,{\mathrm e}^{-d x -c} x^{2}}{2 d}-\frac{b \,{\mathrm e}^{-d x -c} x}{d^{2}}-\frac{a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{b \,{\mathrm e}^{-d x -c}}{d^{3}}-\frac{a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}+\frac{b \,{\mathrm e}^{d x +c}}{d^{3}}"," ",0,"-1/d^2*b*exp(d*x+c)*x+1/2/d*b*exp(d*x+c)*x^2-1/2/d*b*exp(-d*x-c)*x^2-1/d^2*b*exp(-d*x-c)*x-1/2*a*exp(c)*Ei(1,-d*x)-1/d^3*b*exp(-d*x-c)-1/2*a*exp(-c)*Ei(1,d*x)+1/d^3*b*exp(d*x+c)","A"
84,1,110,55,0.139000," ","int((b*x^3+a)*cosh(d*x+c)/x^2,x)","-\frac{a \,{\mathrm e}^{-d x -c}}{2 x}+\frac{d a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b \,{\mathrm e}^{-d x -c} x}{2 d}-\frac{b \,{\mathrm e}^{-d x -c}}{2 d^{2}}-\frac{a \,{\mathrm e}^{d x +c}}{2 x}-\frac{d a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{b \,{\mathrm e}^{d x +c} x}{2 d}-\frac{b \,{\mathrm e}^{d x +c}}{2 d^{2}}"," ",0,"-1/2*a*exp(-d*x-c)/x+1/2*d*a*exp(-c)*Ei(1,d*x)-1/2/d*b*exp(-d*x-c)*x-1/2/d^2*b*exp(-d*x-c)-1/2*a/x*exp(d*x+c)-1/2*d*a*exp(c)*Ei(1,-d*x)+1/2/d*b*exp(d*x+c)*x-1/2/d^2*b*exp(d*x+c)","A"
85,1,114,61,0.129000," ","int((b*x^3+a)*cosh(d*x+c)/x^3,x)","\frac{d a \,{\mathrm e}^{-d x -c}}{4 x}-\frac{a \,{\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{d^{2} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{b \,{\mathrm e}^{-d x -c}}{2 d}-\frac{a \,{\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d a \,{\mathrm e}^{d x +c}}{4 x}-\frac{d^{2} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}+\frac{b \,{\mathrm e}^{d x +c}}{2 d}"," ",0,"1/4*d*a*exp(-d*x-c)/x-1/4*a*exp(-d*x-c)/x^2-1/4*d^2*a*exp(-c)*Ei(1,d*x)-1/2/d*b*exp(-d*x-c)-1/4*a/x^2*exp(d*x+c)-1/4*d*a/x*exp(d*x+c)-1/4*d^2*a*exp(c)*Ei(1,-d*x)+1/2/d*b*exp(d*x+c)","A"
86,1,143,81,0.132000," ","int((b*x^3+a)*cosh(d*x+c)/x^4,x)","-\frac{d^{2} a \,{\mathrm e}^{-d x -c}}{12 x}+\frac{d a \,{\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{a \,{\mathrm e}^{-d x -c}}{6 x^{3}}+\frac{d^{3} a \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}-\frac{b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{a \,{\mathrm e}^{d x +c}}{6 x^{3}}-\frac{d a \,{\mathrm e}^{d x +c}}{12 x^{2}}-\frac{d^{2} a \,{\mathrm e}^{d x +c}}{12 x}-\frac{d^{3} a \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}"," ",0,"-1/12*d^2*a*exp(-d*x-c)/x+1/12*d*a*exp(-d*x-c)/x^2-1/6*a*exp(-d*x-c)/x^3+1/12*d^3*a*exp(-c)*Ei(1,d*x)-1/2*b*exp(-c)*Ei(1,d*x)-1/2*b*exp(c)*Ei(1,-d*x)-1/6*a/x^3*exp(d*x+c)-1/12*d*a/x^2*exp(d*x+c)-1/12*d^2*a/x*exp(d*x+c)-1/12*d^3*a*exp(c)*Ei(1,-d*x)","A"
87,1,818,234,0.045000," ","int(x*(b*x^3+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{7} \sinh \left(d x +c \right)-7 \left(d x +c \right)^{6} \cosh \left(d x +c \right)+42 \left(d x +c \right)^{5} \sinh \left(d x +c \right)-210 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+840 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-2520 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+5040 \left(d x +c \right) \sinh \left(d x +c \right)-5040 \cosh \left(d x +c \right)\right)}{d^{6}}+\frac{7 b^{2} c^{6} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{6}}-\frac{8 b \,c^{3} a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{3}}-\frac{35 b^{2} c^{3} \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{6}}+\frac{2 b a \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{3}}+\frac{35 b^{2} c^{4} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{6}}-\frac{21 b^{2} c^{5} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{6}}-\frac{7 b^{2} c \left(\left(d x +c \right)^{6} \sinh \left(d x +c \right)-6 \left(d x +c \right)^{5} \cosh \left(d x +c \right)+30 \left(d x +c \right)^{4} \sinh \left(d x +c \right)-120 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+360 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-720 \left(d x +c \right) \cosh \left(d x +c \right)+720 \sinh \left(d x +c \right)\right)}{d^{6}}+\frac{21 b^{2} c^{2} \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{6}}+a^{2} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)+\frac{12 b \,c^{2} a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{3}}-\frac{8 b c a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{3}}-\frac{b^{2} c^{7} \sinh \left(d x +c \right)}{d^{6}}+\frac{2 b \,c^{4} a \sinh \left(d x +c \right)}{d^{3}}-c \,a^{2} \sinh \left(d x +c \right)}{d^{2}}"," ",0,"1/d^2*(1/d^6*b^2*((d*x+c)^7*sinh(d*x+c)-7*(d*x+c)^6*cosh(d*x+c)+42*(d*x+c)^5*sinh(d*x+c)-210*(d*x+c)^4*cosh(d*x+c)+840*(d*x+c)^3*sinh(d*x+c)-2520*(d*x+c)^2*cosh(d*x+c)+5040*(d*x+c)*sinh(d*x+c)-5040*cosh(d*x+c))+7/d^6*b^2*c^6*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-8/d^3*b*c^3*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))-35/d^6*b^2*c^3*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))+2/d^3*b*a*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))+35/d^6*b^2*c^4*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-21/d^6*b^2*c^5*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-7/d^6*b^2*c*((d*x+c)^6*sinh(d*x+c)-6*(d*x+c)^5*cosh(d*x+c)+30*(d*x+c)^4*sinh(d*x+c)-120*(d*x+c)^3*cosh(d*x+c)+360*(d*x+c)^2*sinh(d*x+c)-720*(d*x+c)*cosh(d*x+c)+720*sinh(d*x+c))+21/d^6*b^2*c^2*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))+a^2*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+12/d^3*b*c^2*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-8/d^3*b*c*a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-1/d^6*b^2*c^7*sinh(d*x+c)+2/d^3*b*c^4*a*sinh(d*x+c)-c*a^2*sinh(d*x+c))","B"
88,1,592,186,0.042000," ","int((b*x^3+a)^2*cosh(d*x+c),x)","\frac{\frac{b^{2} \left(\left(d x +c \right)^{6} \sinh \left(d x +c \right)-6 \left(d x +c \right)^{5} \cosh \left(d x +c \right)+30 \left(d x +c \right)^{4} \sinh \left(d x +c \right)-120 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+360 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-720 \left(d x +c \right) \cosh \left(d x +c \right)+720 \sinh \left(d x +c \right)\right)}{d^{6}}+\frac{b^{2} c^{6} \sinh \left(d x +c \right)}{d^{6}}+a^{2} \sinh \left(d x +c \right)-\frac{2 b \,c^{3} a \sinh \left(d x +c \right)}{d^{3}}-\frac{6 b^{2} c^{5} \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{6}}+\frac{15 b^{2} c^{4} \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{6}}-\frac{6 b^{2} c \left(\left(d x +c \right)^{5} \sinh \left(d x +c \right)-5 \left(d x +c \right)^{4} \cosh \left(d x +c \right)+20 \left(d x +c \right)^{3} \sinh \left(d x +c \right)-60 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+120 \left(d x +c \right) \sinh \left(d x +c \right)-120 \cosh \left(d x +c \right)\right)}{d^{6}}+\frac{15 b^{2} c^{2} \left(\left(d x +c \right)^{4} \sinh \left(d x +c \right)-4 \left(d x +c \right)^{3} \cosh \left(d x +c \right)+12 \left(d x +c \right)^{2} \sinh \left(d x +c \right)-24 \left(d x +c \right) \cosh \left(d x +c \right)+24 \sinh \left(d x +c \right)\right)}{d^{6}}-\frac{20 b^{2} c^{3} \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{6}}+\frac{2 b a \left(\left(d x +c \right)^{3} \sinh \left(d x +c \right)-3 \left(d x +c \right)^{2} \cosh \left(d x +c \right)+6 \left(d x +c \right) \sinh \left(d x +c \right)-6 \cosh \left(d x +c \right)\right)}{d^{3}}-\frac{6 b c a \left(\left(d x +c \right)^{2} \sinh \left(d x +c \right)-2 \left(d x +c \right) \cosh \left(d x +c \right)+2 \sinh \left(d x +c \right)\right)}{d^{3}}+\frac{6 b \,c^{2} a \left(\left(d x +c \right) \sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d^{3}}}{d}"," ",0,"1/d*(1/d^6*b^2*((d*x+c)^6*sinh(d*x+c)-6*(d*x+c)^5*cosh(d*x+c)+30*(d*x+c)^4*sinh(d*x+c)-120*(d*x+c)^3*cosh(d*x+c)+360*(d*x+c)^2*sinh(d*x+c)-720*(d*x+c)*cosh(d*x+c)+720*sinh(d*x+c))+1/d^6*b^2*c^6*sinh(d*x+c)+a^2*sinh(d*x+c)-2/d^3*b*c^3*a*sinh(d*x+c)-6/d^6*b^2*c^5*((d*x+c)*sinh(d*x+c)-cosh(d*x+c))+15/d^6*b^2*c^4*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))-6/d^6*b^2*c*((d*x+c)^5*sinh(d*x+c)-5*(d*x+c)^4*cosh(d*x+c)+20*(d*x+c)^3*sinh(d*x+c)-60*(d*x+c)^2*cosh(d*x+c)+120*(d*x+c)*sinh(d*x+c)-120*cosh(d*x+c))+15/d^6*b^2*c^2*((d*x+c)^4*sinh(d*x+c)-4*(d*x+c)^3*cosh(d*x+c)+12*(d*x+c)^2*sinh(d*x+c)-24*(d*x+c)*cosh(d*x+c)+24*sinh(d*x+c))-20/d^6*b^2*c^3*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))+2/d^3*b*a*((d*x+c)^3*sinh(d*x+c)-3*(d*x+c)^2*cosh(d*x+c)+6*(d*x+c)*sinh(d*x+c)-6*cosh(d*x+c))-6/d^3*b*c*a*((d*x+c)^2*sinh(d*x+c)-2*(d*x+c)*cosh(d*x+c)+2*sinh(d*x+c))+6/d^3*b*c^2*a*((d*x+c)*sinh(d*x+c)-cosh(d*x+c)))","B"
89,1,335,160,0.188000," ","int((b*x^3+a)^2*cosh(d*x+c)/x,x)","-\frac{30 b^{2} {\mathrm e}^{-d x -c} x^{2}}{d^{4}}-\frac{60 b^{2} {\mathrm e}^{-d x -c} x}{d^{5}}-\frac{2 a b \,{\mathrm e}^{-d x -c} x}{d^{2}}-\frac{a b \,{\mathrm e}^{-d x -c} x^{2}}{d}-\frac{b^{2} {\mathrm e}^{-d x -c} x^{5}}{2 d}-\frac{5 b^{2} {\mathrm e}^{-d x -c} x^{4}}{2 d^{2}}-\frac{10 b^{2} {\mathrm e}^{-d x -c} x^{3}}{d^{3}}+\frac{a b \,{\mathrm e}^{d x +c} x^{2}}{d}-\frac{2 a b \,{\mathrm e}^{d x +c} x}{d^{2}}-\frac{a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{30 b^{2} {\mathrm e}^{d x +c} x^{2}}{d^{4}}+\frac{60 b^{2} {\mathrm e}^{d x +c} x}{d^{5}}-\frac{a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}-\frac{60 b^{2} {\mathrm e}^{d x +c}}{d^{6}}-\frac{60 b^{2} {\mathrm e}^{-d x -c}}{d^{6}}-\frac{2 a b \,{\mathrm e}^{-d x -c}}{d^{3}}+\frac{2 a b \,{\mathrm e}^{d x +c}}{d^{3}}+\frac{b^{2} {\mathrm e}^{d x +c} x^{5}}{2 d}-\frac{5 b^{2} {\mathrm e}^{d x +c} x^{4}}{2 d^{2}}+\frac{10 b^{2} {\mathrm e}^{d x +c} x^{3}}{d^{3}}"," ",0,"-30/d^4*b^2*exp(-d*x-c)*x^2-60/d^5*b^2*exp(-d*x-c)*x-2/d^2*a*b*exp(-d*x-c)*x-1/d*a*b*exp(-d*x-c)*x^2-1/2/d*b^2*exp(-d*x-c)*x^5-5/2/d^2*b^2*exp(-d*x-c)*x^4-10/d^3*b^2*exp(-d*x-c)*x^3+1/d*a*b*exp(d*x+c)*x^2-2/d^2*a*b*exp(d*x+c)*x-1/2*a^2*exp(-c)*Ei(1,d*x)-30/d^4*b^2*exp(d*x+c)*x^2+60/d^5*b^2*exp(d*x+c)*x-1/2*a^2*exp(c)*Ei(1,-d*x)-60/d^6*b^2*exp(d*x+c)-60/d^6*b^2*exp(-d*x-c)-2/d^3*a*b*exp(-d*x-c)+2/d^3*a*b*exp(d*x+c)+1/2/d*b^2*exp(d*x+c)*x^5-5/2/d^2*b^2*exp(d*x+c)*x^4+10/d^3*b^2*exp(d*x+c)*x^3","B"
90,1,296,143,0.207000," ","int((b*x^3+a)^2*cosh(d*x+c)/x^2,x)","-\frac{6 b^{2} {\mathrm e}^{-d x -c} x^{2}}{d^{3}}-\frac{12 b^{2} {\mathrm e}^{-d x -c} x}{d^{4}}-\frac{a b \,{\mathrm e}^{-d x -c} x}{d}-\frac{b^{2} {\mathrm e}^{-d x -c} x^{4}}{2 d}-\frac{2 b^{2} {\mathrm e}^{-d x -c} x^{3}}{d^{2}}+\frac{d \,a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{2}-\frac{12 b^{2} {\mathrm e}^{-d x -c}}{d^{5}}-\frac{a b \,{\mathrm e}^{-d x -c}}{d^{2}}-\frac{a^{2} {\mathrm e}^{-d x -c}}{2 x}-\frac{a^{2} {\mathrm e}^{d x +c}}{2 x}+\frac{a b \,{\mathrm e}^{d x +c} x}{d}+\frac{6 b^{2} {\mathrm e}^{d x +c} x^{2}}{d^{3}}-\frac{12 b^{2} {\mathrm e}^{d x +c} x}{d^{4}}-\frac{d \,a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{2}+\frac{12 b^{2} {\mathrm e}^{d x +c}}{d^{5}}-\frac{a b \,{\mathrm e}^{d x +c}}{d^{2}}+\frac{b^{2} {\mathrm e}^{d x +c} x^{4}}{2 d}-\frac{2 b^{2} {\mathrm e}^{d x +c} x^{3}}{d^{2}}"," ",0,"-6/d^3*b^2*exp(-d*x-c)*x^2-12/d^4*b^2*exp(-d*x-c)*x-1/d*a*b*exp(-d*x-c)*x-1/2/d*b^2*exp(-d*x-c)*x^4-2/d^2*b^2*exp(-d*x-c)*x^3+1/2*d*a^2*exp(-c)*Ei(1,d*x)-12/d^5*b^2*exp(-d*x-c)-1/d^2*a*b*exp(-d*x-c)-1/2*a^2*exp(-d*x-c)/x-1/2*a^2/x*exp(d*x+c)+1/d*a*b*exp(d*x+c)*x+6/d^3*b^2*exp(d*x+c)*x^2-12/d^4*b^2*exp(d*x+c)*x-1/2*d*a^2*exp(c)*Ei(1,-d*x)+12/d^5*b^2*exp(d*x+c)-1/d^2*a*b*exp(d*x+c)+1/2/d*b^2*exp(d*x+c)*x^4-2/d^2*b^2*exp(d*x+c)*x^3","B"
91,1,265,133,0.219000," ","int((b*x^3+a)^2*cosh(d*x+c)/x^3,x)","\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{4 x}-\frac{a^{2} {\mathrm e}^{-d x -c}}{4 x^{2}}-\frac{3 b^{2} {\mathrm e}^{-d x -c} x^{2}}{2 d^{2}}-\frac{3 b^{2} {\mathrm e}^{-d x -c} x}{d^{3}}-\frac{b^{2} {\mathrm e}^{-d x -c} x^{3}}{2 d}-\frac{d^{2} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4}-\frac{3 b^{2} {\mathrm e}^{-d x -c}}{d^{4}}-\frac{a b \,{\mathrm e}^{-d x -c}}{d}-\frac{a^{2} {\mathrm e}^{d x +c}}{4 x^{2}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{4 x}-\frac{3 b^{2} {\mathrm e}^{d x +c} x^{2}}{2 d^{2}}+\frac{3 b^{2} {\mathrm e}^{d x +c} x}{d^{3}}-\frac{d^{2} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4}-\frac{3 b^{2} {\mathrm e}^{d x +c}}{d^{4}}+\frac{a b \,{\mathrm e}^{d x +c}}{d}+\frac{b^{2} {\mathrm e}^{d x +c} x^{3}}{2 d}"," ",0,"1/4*d*a^2*exp(-d*x-c)/x-1/4*a^2*exp(-d*x-c)/x^2-3/2/d^2*b^2*exp(-d*x-c)*x^2-3/d^3*b^2*exp(-d*x-c)*x-1/2/d*b^2*exp(-d*x-c)*x^3-1/4*d^2*a^2*exp(-c)*Ei(1,d*x)-3/d^4*b^2*exp(-d*x-c)-1/d*a*b*exp(-d*x-c)-1/4*a^2/x^2*exp(d*x+c)-1/4*d*a^2/x*exp(d*x+c)-3/2/d^2*b^2*exp(d*x+c)*x^2+3/d^3*b^2*exp(d*x+c)*x-1/4*d^2*a^2*exp(c)*Ei(1,-d*x)-3/d^4*b^2*exp(d*x+c)+1/d*a*b*exp(d*x+c)+1/2/d*b^2*exp(d*x+c)*x^3","A"
92,1,261,140,0.237000," ","int((b*x^3+a)^2*cosh(d*x+c)/x^4,x)","-\frac{b^{2} {\mathrm e}^{-d x -c} x^{2}}{2 d}-\frac{b^{2} {\mathrm e}^{-d x -c} x}{d^{2}}+\frac{d^{3} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{12}-\frac{b^{2} {\mathrm e}^{-d x -c}}{d^{3}}-\frac{d^{2} a^{2} {\mathrm e}^{-d x -c}}{12 x}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{12 x^{2}}-\frac{a^{2} {\mathrm e}^{-d x -c}}{6 x^{3}}-a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)-\frac{a^{2} {\mathrm e}^{d x +c}}{6 x^{3}}+\frac{b^{2} {\mathrm e}^{d x +c} x^{2}}{2 d}-\frac{b^{2} {\mathrm e}^{d x +c} x}{d^{2}}-\frac{d^{3} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{12}+\frac{b^{2} {\mathrm e}^{d x +c}}{d^{3}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{12 x^{2}}-\frac{d^{2} a^{2} {\mathrm e}^{d x +c}}{12 x}-a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)"," ",0,"-1/2/d*b^2*exp(-d*x-c)*x^2-1/d^2*b^2*exp(-d*x-c)*x+1/12*d^3*a^2*exp(-c)*Ei(1,d*x)-1/d^3*b^2*exp(-d*x-c)-1/12*d^2*a^2*exp(-d*x-c)/x+1/12*d*a^2*exp(-d*x-c)/x^2-1/6*a^2*exp(-d*x-c)/x^3-a*b*exp(-c)*Ei(1,d*x)-1/6*a^2/x^3*exp(d*x+c)+1/2/d*b^2*exp(d*x+c)*x^2-1/d^2*b^2*exp(d*x+c)*x-1/12*d^3*a^2*exp(c)*Ei(1,-d*x)+1/d^3*b^2*exp(d*x+c)-1/12*d*a^2/x^2*exp(d*x+c)-1/12*d^2*a^2/x*exp(d*x+c)-a*b*exp(c)*Ei(1,-d*x)","A"
93,1,292,155,0.257000," ","int((b*x^3+a)^2*cosh(d*x+c)/x^5,x)","-\frac{d^{2} a^{2} {\mathrm e}^{-d x -c}}{48 x^{2}}+\frac{d \,a^{2} {\mathrm e}^{-d x -c}}{24 x^{3}}-\frac{a^{2} {\mathrm e}^{-d x -c}}{8 x^{4}}-\frac{b^{2} {\mathrm e}^{-d x -c} x}{2 d}-\frac{b^{2} {\mathrm e}^{-d x -c}}{2 d^{2}}-\frac{d^{4} a^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{48}+\frac{d^{3} a^{2} {\mathrm e}^{-d x -c}}{48 x}-\frac{a b \,{\mathrm e}^{-d x -c}}{x}+d a b \,{\mathrm e}^{-c} \Ei \left(1, d x \right)+\frac{b^{2} {\mathrm e}^{d x +c} x}{2 d}-\frac{d^{4} a^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{48}-\frac{b^{2} {\mathrm e}^{d x +c}}{2 d^{2}}-\frac{d \,a^{2} {\mathrm e}^{d x +c}}{24 x^{3}}-\frac{d^{2} a^{2} {\mathrm e}^{d x +c}}{48 x^{2}}-\frac{d^{3} a^{2} {\mathrm e}^{d x +c}}{48 x}-\frac{a^{2} {\mathrm e}^{d x +c}}{8 x^{4}}-\frac{a b \,{\mathrm e}^{d x +c}}{x}-d a b \,{\mathrm e}^{c} \Ei \left(1, -d x \right)"," ",0,"-1/48*d^2*a^2*exp(-d*x-c)/x^2+1/24*d*a^2*exp(-d*x-c)/x^3-1/8*a^2*exp(-d*x-c)/x^4-1/2/d*b^2*exp(-d*x-c)*x-1/2/d^2*b^2*exp(-d*x-c)-1/48*d^4*a^2*exp(-c)*Ei(1,d*x)+1/48*d^3*a^2*exp(-d*x-c)/x-a*b*exp(-d*x-c)/x+d*a*b*exp(-c)*Ei(1,d*x)+1/2/d*b^2*exp(d*x+c)*x-1/48*d^4*a^2*exp(c)*Ei(1,-d*x)-1/2/d^2*b^2*exp(d*x+c)-1/24*d*a^2/x^3*exp(d*x+c)-1/48*d^2*a^2/x^2*exp(d*x+c)-1/48*d^3*a^2/x*exp(d*x+c)-1/8*a^2/x^4*exp(d*x+c)-a*b/x*exp(d*x+c)-d*a*b*exp(c)*Ei(1,-d*x)","A"
94,1,925,265,0.187000," ","int(x^4*cosh(d*x+c)/(b*x^3+a),x)","-\frac{{\mathrm e}^{-d x -c} x}{2 d b}-\frac{{\mathrm e}^{-d x -c}}{2 d^{2} b}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(6 \textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-8 \textit{\_R1} b \,c^{3}-3 a c \,d^{3}+3 b \,c^{4}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{6 d^{2} b^{2}}-\frac{c^{4} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d^{2} b}+\frac{2 c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{3 d^{2} b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{d^{2} b}+\frac{2 c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{3 d^{2} b^{2}}+\frac{{\mathrm e}^{d x +c} x}{2 d b}-\frac{{\mathrm e}^{d x +c}}{2 d^{2} b}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(6 \textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-8 \textit{\_R1} b \,c^{3}-3 a c \,d^{3}+3 b \,c^{4}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{6 d^{2} b^{2}}-\frac{c^{4} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d^{2} b}+\frac{2 c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{3 d^{2} b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{d^{2} b}+\frac{2 c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{3 d^{2} b^{2}}"," ",0,"-1/2/d*exp(-d*x-c)/b*x-1/2/d^2*exp(-d*x-c)/b-1/6/d^2/b^2*sum((6*_R1^2*b*c^2-_R1*a*d^3-8*_R1*b*c^3-3*a*c*d^3+3*b*c^4)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6/d^2*c^4/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+2/3/d^2*c^3/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/d^2*c^2/b*sum(_R1^2/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+2/3/d^2*c/b^2*sum((3*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/2/d/b*exp(d*x+c)*x-1/2/d^2/b*exp(d*x+c)-1/6/d^2/b^2*sum((6*_R1^2*b*c^2-_R1*a*d^3-8*_R1*b*c^3-3*a*c*d^3+3*b*c^4)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6/d^2*c^4/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+2/3/d^2*c^3/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/d^2*c^2/b*sum(_R1^2/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+2/3/d^2*c/b^2*sum((3*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
95,1,671,250,0.143000," ","int(x^3*cosh(d*x+c)/(b*x^3+a),x)","-\frac{{\mathrm e}^{-d x -c}}{2 d b}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{6 d \,b^{2}}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{2 d b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{2 d b}+\frac{{\mathrm e}^{d x +c}}{2 d b}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{6 d \,b^{2}}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{2 d b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{2 d b}"," ",0,"-1/2/d*exp(-d*x-c)/b-1/6/d/b^2*sum((3*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6/d*c^3/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2/d*c^2/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/2/d*c/b*sum(_R1^2/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/2/d/b*exp(d*x+c)-1/6/d/b^2*sum((3*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6/d*c^3/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2/d*c^2/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/2/d*c/b*sum(_R1^2/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
96,1,423,207,0.120000," ","int(x^2*cosh(d*x+c)/(b*x^3+a),x)","-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{6 b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{3 b}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{6 b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{3 b}"," ",0,"-1/6/b*sum(_R1^2/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*c^2/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/3*c/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6/b*sum(_R1^2/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*c^2/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/3*c/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
97,1,280,237,0.119000," ","int(x*cosh(d*x+c)/(b*x^3+a),x)","-\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}+\frac{d c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}-\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\textit{\_R1} \,{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}+\frac{d c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}"," ",0,"-1/6*d/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6*d*c/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*d/b*sum(_R1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6*d*c/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
98,1,143,237,0.094000," ","int(cosh(d*x+c)/(b*x^3+a),x)","-\frac{d^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}-\frac{d^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 b}"," ",0,"-1/6*d^2/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*d^2/b*sum(1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
99,1,138,227,0.111000," ","int(cosh(d*x+c)/x/(b*x^3+a),x)","\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{6 a}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{6 a}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a}"," ",0,"1/6/a*sum(exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2/a*exp(-c)*Ei(1,d*x)+1/6/a*sum(exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2/a*exp(c)*Ei(1,-d*x)","C"
100,1,187,273,0.132000," ","int(cosh(d*x+c)/x^2/(b*x^3+a),x)","-\frac{{\mathrm e}^{-d x -c}}{2 a x}+\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1} -c}\right)}{6 a}+\frac{d \,{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a}-\frac{{\mathrm e}^{d x +c}}{2 a x}+\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1} -c}\right)}{6 a}-\frac{d \,{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a}"," ",0,"-1/2*exp(-d*x-c)/a/x+1/6*d/a*sum(1/(_R1-c)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/2*d/a*exp(-c)*Ei(1,d*x)-1/2*exp(d*x+c)/a/x+1/6*d/a*sum(1/(_R1-c)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2*d/a*exp(c)*Ei(1,-d*x)","C"
101,1,240,294,0.135000," ","int(cosh(d*x+c)/x^3/(b*x^3+a),x)","\frac{d \,{\mathrm e}^{-d x -c}}{4 a x}-\frac{{\mathrm e}^{-d x -c}}{4 a \,x^{2}}+\frac{d^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 a}-\frac{d^{2} {\mathrm e}^{-c} \Ei \left(1, d x \right)}{4 a}-\frac{d \,{\mathrm e}^{d x +c}}{4 a x}-\frac{{\mathrm e}^{d x +c}}{4 a \,x^{2}}+\frac{d^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{{\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 a}-\frac{d^{2} {\mathrm e}^{c} \Ei \left(1, -d x \right)}{4 a}"," ",0,"1/4*d*exp(-d*x-c)/a/x-1/4*exp(-d*x-c)/a/x^2+1/6*d^2/a*sum(1/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/4*d^2/a*exp(-c)*Ei(1,d*x)-1/4*d*exp(d*x+c)/a/x-1/4*exp(d*x+c)/a/x^2+1/6*d^2/a*sum(1/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/4*d^2/a*exp(c)*Ei(1,-d*x)","C"
102,1,877,500,0.250000," ","int(x^3*cosh(d*x+c)/(b*x^3+a)^2,x)","-\frac{d^{3} {\mathrm e}^{-d x -c} x}{6 b \left(b \,d^{3} x^{3}+a \,d^{3}\right)}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-5 \textit{\_R1} b \,c^{3}-2 a c \,d^{3}+2 b \,c^{4}+3 \textit{\_R1} b \,c^{2}+a \,d^{3}-b \,c^{3}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{18 d a \,b^{2}}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c +2\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 d a b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-\textit{\_R1} c +\textit{\_R1} +c \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d a b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(2 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}+2 \textit{\_R1} b c \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d a \,b^{2}}-\frac{d^{3} {\mathrm e}^{d x +c} x}{6 b \left(b \,d^{3} x^{3}+a \,d^{3}\right)}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(3 \textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-5 \textit{\_R1} b \,c^{3}-2 a c \,d^{3}+2 b \,c^{4}-3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{18 d a \,b^{2}}-\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c -2\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 d a b}+\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-\textit{\_R1} c -\textit{\_R1} -c \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d a b}-\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(2 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}-2 \textit{\_R1} b c \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{6 d a \,b^{2}}"," ",0,"-1/6*d^3*exp(-d*x-c)/b/(b*d^3*x^3+a*d^3)*x-1/18/d/a/b^2*sum((3*_R1^2*b*c^2-_R1*a*d^3-5*_R1*b*c^3-2*a*c*d^3+2*b*c^4+3*_R1*b*c^2+a*d^3-b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/18/d*c^3/a/b*sum((_R1-c+2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6/d*c^2/a/b*sum((_R1^2-_R1*c+_R1+c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6/d*c/a/b^2*sum((2*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3+2*_R1*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*d^3*exp(d*x+c)/b/(b*d^3*x^3+a*d^3)*x+1/18/d/a/b^2*sum((3*_R1^2*b*c^2-_R1*a*d^3-5*_R1*b*c^3-2*a*c*d^3+2*b*c^4-3*_R1*b*c^2-a*d^3+b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/18/d*c^3/a/b*sum((_R1-c-2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6/d*c^2/a/b*sum((_R1^2-_R1*c-_R1-c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6/d*c/a/b^2*sum((2*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3-2*_R1*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
103,1,594,263,0.194000," ","int(x^2*cosh(d*x+c)/(b*x^3+a)^2,x)","-\frac{d^{3} {\mathrm e}^{-d x -c}}{6 b \left(b \,d^{3} x^{3}+a \,d^{3}\right)}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(2 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}+2 \textit{\_R1} b c \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{18 a \,b^{2}}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c +2\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-\textit{\_R1} c +\textit{\_R1} +c \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{9 a b}-\frac{d^{3} {\mathrm e}^{d x +c}}{6 b \left(b \,d^{3} x^{3}+a \,d^{3}\right)}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(2 \textit{\_R1}^{2} b c -3 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}-2 \textit{\_R1} b c \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{18 a \,b^{2}}+\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c -2\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}-\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-\textit{\_R1} c -\textit{\_R1} -c \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{9 a b}"," ",0,"-1/6*d^3*exp(-d*x-c)/b/(b*d^3*x^3+a*d^3)-1/18/a/b^2*sum((2*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3+2*_R1*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/18*c^2/a/b*sum((_R1-c+2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/9*c/a/b*sum((_R1^2-_R1*c+_R1+c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*d^3*exp(d*x+c)/b/(b*d^3*x^3+a*d^3)+1/18/a/b^2*sum((2*_R1^2*b*c-3*_R1*b*c^2-a*d^3+b*c^3-2*_R1*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/18*c^2/a/b*sum((_R1-c-2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/9*c/a/b*sum((_R1^2-_R1*c-_R1-c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
104,1,395,507,0.158000," ","int(x*cosh(d*x+c)/(b*x^3+a)^2,x)","\frac{d^{3} {\mathrm e}^{-d x -c} x^{2}}{6 a \left(b \,d^{3} x^{3}+a \,d^{3}\right)}-\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-\textit{\_R1} c +\textit{\_R1} +c \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}+\frac{d c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c +2\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}+\frac{d^{3} {\mathrm e}^{d x +c} x^{2}}{6 a \left(b \,d^{3} x^{3}+a \,d^{3}\right)}+\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-\textit{\_R1} c -\textit{\_R1} -c \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}-\frac{d c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c -2\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}"," ",0,"1/6*d^3*exp(-d*x-c)*x^2/a/(b*d^3*x^3+a*d^3)-1/18*d/a/b*sum((_R1^2-_R1*c+_R1+c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/18*d*c/a/b*sum((_R1-c+2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6*d^3*exp(d*x+c)*x^2/a/(b*d^3*x^3+a*d^3)+1/18*d/a/b*sum((_R1^2-_R1*c-_R1-c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/18*d*c/a/b*sum((_R1-c-2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
105,1,226,519,0.124000," ","int(cosh(d*x+c)/(b*x^3+a)^2,x)","\frac{d^{3} {\mathrm e}^{-d x -c} x}{6 a \left(b \,d^{3} x^{3}+a \,d^{3}\right)}-\frac{d^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c +2\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}+\frac{d^{3} {\mathrm e}^{d x +c} x}{6 a \left(b \,d^{3} x^{3}+a \,d^{3}\right)}+\frac{d^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1} -c -2\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 a b}"," ",0,"1/6*d^3*exp(-d*x-c)*x/a/(b*d^3*x^3+a*d^3)-1/18*d^2/a/b*sum((_R1-c+2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/6*d^3*exp(d*x+c)*x/a/(b*d^3*x^3+a*d^3)+1/18*d^2/a/b*sum((_R1-c-2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
106,1,338,509,0.147000," ","int(cosh(d*x+c)/x/(b*x^3+a)^2,x)","\frac{{\mathrm e}^{-d x -c} d^{3}}{6 a \left(\left(d x +c \right)^{3} b -3 \left(d x +c \right)^{2} b c +3 \left(d x +c \right) b \,c^{2}+a \,d^{3}-b \,c^{3}\right)}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(-a \,d^{3}+3 \textit{\_R1}^{2} b -6 \textit{\_R1} b c +3 b \,c^{2}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{18 a^{2} b}-\frac{{\mathrm e}^{-c} \Ei \left(1, d x \right)}{2 a^{2}}+\frac{{\mathrm e}^{d x +c} d^{3}}{6 a \left(\left(d x +c \right)^{3} b -3 \left(d x +c \right)^{2} b c +3 \left(d x +c \right) b \,c^{2}+a \,d^{3}-b \,c^{3}\right)}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(a \,d^{3}+3 \textit{\_R1}^{2} b -6 \textit{\_R1} b c +3 b \,c^{2}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{18 a^{2} b}-\frac{{\mathrm e}^{c} \Ei \left(1, -d x \right)}{2 a^{2}}"," ",0,"1/6*exp(-d*x-c)/a*d^3/((d*x+c)^3*b-3*(d*x+c)^2*b*c+3*(d*x+c)*b*c^2+a*d^3-b*c^3)+1/18/a^2/b*sum((-a*d^3+3*_R1^2*b-6*_R1*b*c+3*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2/a^2*exp(-c)*Ei(1,d*x)+1/6*exp(d*x+c)/a*d^3/((d*x+c)^3*b-3*(d*x+c)^2*b*c+3*(d*x+c)*b*c^2+a*d^3-b*c^3)+1/18/a^2/b*sum((a*d^3+3*_R1^2*b-6*_R1*b*c+3*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/2/a^2*exp(c)*Ei(1,-d*x)","C"
107,1,2448,562,0.683000," ","int(x^5*cosh(d*x+c)/(b*x^3+a)^3,x)","\text{Expression too large to display}"," ",0,"1/108/d^3*c^5/a^2/b*sum((_R1^2-2*_R1*c+c^2+6*_R1-6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-5/108/d^3*c^4/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3+4*_R1^2*b-2*_R1*b*c-2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+5/54/d^3*c^3/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4+8*_R1^2*b*c-10*_R1*b*c^2-2*a*d^3+2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/6*d^6*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^3+1/108/d^3/a^2/b^3*sum((10*_R1^2*a*b*c^2*d^3-_R1^2*b^2*c^5-_R1*a^2*d^6-10*_R1*a*b*c^3*d^3+2*_R1*b^2*c^6-4*a^2*c*d^6+5*a*b*c^4*d^3-b^2*c^7-10*_R1^2*a*b*c*d^3-20*_R1^2*b^2*c^4+20*_R1*a*b*c^2*d^3+34*_R1*b^2*c^5+4*a^2*d^6+10*a*b*c^3*d^3-14*b^2*c^6-10*_R1*a*b*c*d^3-20*_R1*b^2*c^4-10*a*b*c^2*d^3+10*b^2*c^5)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+5/54/d^3*c^2/a^2/b^2*sum((_R1^2*a*d^3-_R1^2*b*c^3+_R1*a*c*d^3+2*_R1*b*c^4+a*c^2*d^3-b*c^5-12*_R1^2*b*c^2+18*_R1*b*c^3+6*a*c*d^3-6*b*c^4-12*_R1*b*c^2-2*a*d^3+2*b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/12*d^6*exp(-d*x-c)*a/b^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)-5/108/d^3*c/a^2/b^3*sum((4*_R1^2*a*b*c*d^3-_R1^2*b^2*c^4-2*_R1*a*b*c^2*d^3+2*_R1*b^2*c^5-a^2*d^6+2*a*b*c^3*d^3-b^2*c^6-2*_R1^2*a*b*d^3-16*_R1^2*b^2*c^3+4*_R1*a*b*c*d^3+26*_R1*b^2*c^4+10*a*b*c^2*d^3-10*b^2*c^5-2*_R1*a*b*d^3-16*_R1*b^2*c^3-6*a*b*c*d^3+6*b^2*c^4)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/36*d^7*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^4+1/36*d^7*exp(-d*x-c)*a/b^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x-1/12*d^6*exp(d*x+c)*a/b^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)-5/108/d^3*c/a^2/b^3*sum((4*_R1^2*a*b*c*d^3-_R1^2*b^2*c^4-2*_R1*a*b*c^2*d^3+2*_R1*b^2*c^5-a^2*d^6+2*a*b*c^3*d^3-b^2*c^6+2*_R1^2*a*b*d^3+16*_R1^2*b^2*c^3-4*_R1*a*b*c*d^3-26*_R1*b^2*c^4-10*a*b*c^2*d^3+10*b^2*c^5-2*_R1*a*b*d^3-16*_R1*b^2*c^3-6*a*b*c*d^3+6*b^2*c^4)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108/d^3/a^2/b^3*sum((10*_R1^2*a*b*c^2*d^3-_R1^2*b^2*c^5-_R1*a^2*d^6-10*_R1*a*b*c^3*d^3+2*_R1*b^2*c^6-4*a^2*c*d^6+5*a*b*c^4*d^3-b^2*c^7+10*_R1^2*a*b*c*d^3+20*_R1^2*b^2*c^4-20*_R1*a*b*c^2*d^3-34*_R1*b^2*c^5-4*a^2*d^6-10*a*b*c^3*d^3+14*b^2*c^6-10*_R1*a*b*c*d^3-20*_R1*b^2*c^4-10*a*b*c^2*d^3+10*b^2*c^5)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108/d^3*c^5/a^2/b*sum((_R1^2-2*_R1*c+c^2-6*_R1+6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-5/108/d^3*c^4/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3-4*_R1^2*b+2*_R1*b*c+2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+5/54/d^3*c^3/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4-8*_R1^2*b*c+10*_R1*b*c^2+2*a*d^3-2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+5/54/d^3*c^2/a^2/b^2*sum((_R1^2*a*d^3-_R1^2*b*c^3+_R1*a*c*d^3+2*_R1*b*c^4+a*c^2*d^3-b*c^5+12*_R1^2*b*c^2-18*_R1*b*c^3-6*a*c*d^3+6*b*c^4-12*_R1*b*c^2-2*a*d^3+2*b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/36*d^7*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^4-1/36*d^7*exp(d*x+c)*a/b^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x-1/6*d^6*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^3","C"
108,1,1927,805,0.479000," ","int(x^4*cosh(d*x+c)/(b*x^3+a)^3,x)","-\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} a \,d^{3}-\textit{\_R1}^{2} b \,c^{3}+\textit{\_R1} a c \,d^{3}+2 \textit{\_R1} b \,c^{4}+a \,c^{2} d^{3}-c^{5} b -12 \textit{\_R1}^{2} b \,c^{2}+18 \textit{\_R1} b \,c^{3}+6 a c \,d^{3}-6 b \,c^{4}-12 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{27 d^{2} a^{2} b^{2}}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(4 \textit{\_R1}^{2} a b c \,d^{3}-\textit{\_R1}^{2} b^{2} c^{4}-2 \textit{\_R1} a b \,c^{2} d^{3}+2 \textit{\_R1} \,b^{2} c^{5}-a^{2} d^{6}+2 a b \,c^{3} d^{3}-c^{6} b^{2}-2 \textit{\_R1}^{2} a b \,d^{3}-16 \textit{\_R1}^{2} b^{2} c^{3}+4 \textit{\_R1} a b c \,d^{3}+26 \textit{\_R1} \,b^{2} c^{4}+10 a b \,c^{2} d^{3}-10 b^{2} c^{5}-2 \textit{\_R1} a b \,d^{3}-16 \textit{\_R1} \,b^{2} c^{3}-6 a b c \,d^{3}+6 b^{2} c^{4}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{108 d^{2} a^{2} b^{3}}+\frac{d^{7} {\mathrm e}^{-d x -c} a}{36 b^{2} \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{d^{7} {\mathrm e}^{-d x -c} x^{3}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{d^{6} {\mathrm e}^{-d x -c} x^{5}}{18 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{6} {\mathrm e}^{-d x -c} x^{2}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{c^{4} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}+6 \textit{\_R1} -6 c +10\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 d^{2} a^{2} b}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}+4 \textit{\_R1}^{2} b -2 \textit{\_R1} b c -2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{27 d^{2} a^{2} b^{2}}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-2 \textit{\_R1} b \,c^{3}-a c \,d^{3}+b \,c^{4}+8 \textit{\_R1}^{2} b c -10 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}+8 \textit{\_R1} b c +2 b \,c^{2}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 d^{2} a^{2} b^{2}}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-2 \textit{\_R1} b \,c^{3}-a c \,d^{3}+b \,c^{4}-8 \textit{\_R1}^{2} b c +10 \textit{\_R1} b \,c^{2}+2 a \,d^{3}-2 b \,c^{3}+8 \textit{\_R1} b c +2 b \,c^{2}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{18 d^{2} a^{2} b^{2}}-\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} a \,d^{3}-\textit{\_R1}^{2} b \,c^{3}+\textit{\_R1} a c \,d^{3}+2 \textit{\_R1} b \,c^{4}+a \,c^{2} d^{3}-c^{5} b +12 \textit{\_R1}^{2} b \,c^{2}-18 \textit{\_R1} b \,c^{3}-6 a c \,d^{3}+6 b \,c^{4}-12 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{27 d^{2} a^{2} b^{2}}-\frac{d^{7} {\mathrm e}^{d x +c} a}{36 b^{2} \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(4 \textit{\_R1}^{2} a b c \,d^{3}-\textit{\_R1}^{2} b^{2} c^{4}-2 \textit{\_R1} a b \,c^{2} d^{3}+2 \textit{\_R1} \,b^{2} c^{5}-a^{2} d^{6}+2 a b \,c^{3} d^{3}-c^{6} b^{2}+2 \textit{\_R1}^{2} a b \,d^{3}+16 \textit{\_R1}^{2} b^{2} c^{3}-4 \textit{\_R1} a b c \,d^{3}-26 \textit{\_R1} \,b^{2} c^{4}-10 a b \,c^{2} d^{3}+10 b^{2} c^{5}-2 \textit{\_R1} a b \,d^{3}-16 \textit{\_R1} \,b^{2} c^{3}-6 a b c \,d^{3}+6 b^{2} c^{4}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{108 d^{2} a^{2} b^{3}}-\frac{d^{7} {\mathrm e}^{d x +c} x^{3}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{c^{4} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}-6 \textit{\_R1} +6 c +10\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 d^{2} a^{2} b}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}-4 \textit{\_R1}^{2} b +2 \textit{\_R1} b c +2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{27 d^{2} a^{2} b^{2}}+\frac{d^{6} {\mathrm e}^{d x +c} x^{5}}{18 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{6} {\mathrm e}^{d x +c} x^{2}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}"," ",0,"-1/27/d^2*c/a^2/b^2*sum((_R1^2*a*d^3-_R1^2*b*c^3+_R1*a*c*d^3+2*_R1*b*c^4+a*c^2*d^3-b*c^5-12*_R1^2*b*c^2+18*_R1*b*c^3+6*a*c*d^3-6*b*c^4-12*_R1*b*c^2-2*a*d^3+2*b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108/d^2/a^2/b^3*sum((4*_R1^2*a*b*c*d^3-_R1^2*b^2*c^4-2*_R1*a*b*c^2*d^3+2*_R1*b^2*c^5-a^2*d^6+2*a*b*c^3*d^3-b^2*c^6-2*_R1^2*a*b*d^3-16*_R1^2*b^2*c^3+4*_R1*a*b*c*d^3+26*_R1*b^2*c^4+10*a*b*c^2*d^3-10*b^2*c^5-2*_R1*a*b*d^3-16*_R1*b^2*c^3-6*a*b*c*d^3+6*b^2*c^4)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/36*d^7*exp(-d*x-c)*a/b^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)+1/36*d^7*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^3+1/18*d^6*exp(-d*x-c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^5-1/36*d^6*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^2-1/108/d^2*c^4/a^2/b*sum((_R1^2-2*_R1*c+c^2+6*_R1-6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/27/d^2*c^3/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3+4*_R1^2*b-2*_R1*b*c-2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/18/d^2*c^2/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4+8*_R1^2*b*c-10*_R1*b*c^2-2*a*d^3+2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/18/d^2*c^2/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4-8*_R1^2*b*c+10*_R1*b*c^2+2*a*d^3-2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/27/d^2*c/a^2/b^2*sum((_R1^2*a*d^3-_R1^2*b*c^3+_R1*a*c*d^3+2*_R1*b*c^4+a*c^2*d^3-b*c^5+12*_R1^2*b*c^2-18*_R1*b*c^3-6*a*c*d^3+6*b*c^4-12*_R1*b*c^2-2*a*d^3+2*b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/36*d^7*exp(d*x+c)*a/b^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)+1/108/d^2/a^2/b^3*sum((4*_R1^2*a*b*c*d^3-_R1^2*b^2*c^4-2*_R1*a*b*c^2*d^3+2*_R1*b^2*c^5-a^2*d^6+2*a*b*c^3*d^3-b^2*c^6+2*_R1^2*a*b*d^3+16*_R1^2*b^2*c^3-4*_R1*a*b*c*d^3-26*_R1*b^2*c^4-10*a*b*c^2*d^3+10*b^2*c^5-2*_R1*a*b*d^3-16*_R1*b^2*c^3-6*a*b*c*d^3+6*b^2*c^4)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/36*d^7*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^3-1/108/d^2*c^4/a^2/b*sum((_R1^2-2*_R1*c+c^2-6*_R1+6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/27/d^2*c^3/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3-4*_R1^2*b+2*_R1*b*c+2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/18*d^6*exp(d*x+c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^5-1/36*d^6*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^2","C"
109,1,1456,582,0.405000," ","int(x^3*cosh(d*x+c)/(b*x^3+a)^3,x)","\frac{d^{6} {\mathrm e}^{-d x -c} x^{4}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{6} {\mathrm e}^{-d x -c} x}{18 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{7} {\mathrm e}^{-d x -c} x^{5}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{7} {\mathrm e}^{-d x -c} x^{2}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}+6 \textit{\_R1} -6 c +10\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 d \,a^{2} b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-2 \textit{\_R1} b \,c^{3}-a c \,d^{3}+b \,c^{4}+8 \textit{\_R1}^{2} b c -10 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}+8 \textit{\_R1} b c +2 b \,c^{2}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{36 d \,a^{2} b^{2}}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}+4 \textit{\_R1}^{2} b -2 \textit{\_R1} b c -2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{36 d \,a^{2} b^{2}}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} a \,d^{3}-\textit{\_R1}^{2} b \,c^{3}+\textit{\_R1} a c \,d^{3}+2 \textit{\_R1} b \,c^{4}+a \,c^{2} d^{3}-c^{5} b -12 \textit{\_R1}^{2} b \,c^{2}+18 \textit{\_R1} b \,c^{3}+6 a c \,d^{3}-6 b \,c^{4}-12 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{108 d \,a^{2} b^{2}}+\frac{d^{7} {\mathrm e}^{d x +c} x^{5}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{d^{7} {\mathrm e}^{d x +c} x^{2}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} a \,d^{3}-\textit{\_R1}^{2} b \,c^{3}+\textit{\_R1} a c \,d^{3}+2 \textit{\_R1} b \,c^{4}+a \,c^{2} d^{3}-c^{5} b +12 \textit{\_R1}^{2} b \,c^{2}-18 \textit{\_R1} b \,c^{3}-6 a c \,d^{3}+6 b \,c^{4}-12 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{108 d \,a^{2} b^{2}}+\frac{c^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}-6 \textit{\_R1} +6 c +10\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 d \,a^{2} b}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}-4 \textit{\_R1}^{2} b +2 \textit{\_R1} b c +2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{36 d \,a^{2} b^{2}}+\frac{d^{6} {\mathrm e}^{d x +c} x^{4}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{6} {\mathrm e}^{d x +c} x}{18 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-2 \textit{\_R1} b \,c^{3}-a c \,d^{3}+b \,c^{4}-8 \textit{\_R1}^{2} b c +10 \textit{\_R1} b \,c^{2}+2 a \,d^{3}-2 b \,c^{3}+8 \textit{\_R1} b c +2 b \,c^{2}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{36 d \,a^{2} b^{2}}"," ",0,"1/36*d^6*exp(-d*x-c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^4-1/18*d^6*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x-1/36*d^7*exp(-d*x-c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^5-1/36*d^7*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^2+1/108/d*c^3/a^2/b*sum((_R1^2-2*_R1*c+c^2+6*_R1-6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/36/d*c/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4+8*_R1^2*b*c-10*_R1*b*c^2-2*a*d^3+2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/36/d*c^2/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3+4*_R1^2*b-2*_R1*b*c-2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108/d/a^2/b^2*sum((_R1^2*a*d^3-_R1^2*b*c^3+_R1*a*c*d^3+2*_R1*b*c^4+a*c^2*d^3-b*c^5-12*_R1^2*b*c^2+18*_R1*b*c^3+6*a*c*d^3-6*b*c^4-12*_R1*b*c^2-2*a*d^3+2*b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/36*d^7*exp(d*x+c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^5+1/36*d^7*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^2+1/108/d/a^2/b^2*sum((_R1^2*a*d^3-_R1^2*b*c^3+_R1*a*c*d^3+2*_R1*b*c^4+a*c^2*d^3-b*c^5+12*_R1^2*b*c^2-18*_R1*b*c^3-6*a*c*d^3+6*b*c^4-12*_R1*b*c^2-2*a*d^3+2*b*c^3)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108/d*c^3/a^2/b*sum((_R1^2-2*_R1*c+c^2-6*_R1+6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/36/d*c^2/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3-4*_R1^2*b+2*_R1*b*c+2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/36*d^6*exp(d*x+c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^4-1/18*d^6*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x+1/36/d*c/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4-8*_R1^2*b*c+10*_R1*b*c^2+2*a*d^3-2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
110,1,994,559,0.346000," ","int(x^2*cosh(d*x+c)/(b*x^3+a)^3,x)","-\frac{d^{7} {\mathrm e}^{-d x -c} x^{4}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{7} {\mathrm e}^{-d x -c} x}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{6} {\mathrm e}^{-d x -c}}{12 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-2 \textit{\_R1} b \,c^{3}-a c \,d^{3}+b \,c^{4}+8 \textit{\_R1}^{2} b c -10 \textit{\_R1} b \,c^{2}-2 a \,d^{3}+2 b \,c^{3}+8 \textit{\_R1} b c +2 b \,c^{2}\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{108 a^{2} b^{2}}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}+6 \textit{\_R1} -6 c +10\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 a^{2} b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}+4 \textit{\_R1}^{2} b -2 \textit{\_R1} b c -2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{54 a^{2} b^{2}}+\frac{d^{7} {\mathrm e}^{d x +c} x^{4}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{d^{7} {\mathrm e}^{d x +c} x}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{6} {\mathrm e}^{d x +c}}{12 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b \,c^{2}-\textit{\_R1} a \,d^{3}-2 \textit{\_R1} b \,c^{3}-a c \,d^{3}+b \,c^{4}-8 \textit{\_R1}^{2} b c +10 \textit{\_R1} b \,c^{2}+2 a \,d^{3}-2 b \,c^{3}+8 \textit{\_R1} b c +2 b \,c^{2}\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}}{108 a^{2} b^{2}}-\frac{c^{2} \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}-6 \textit{\_R1} +6 c +10\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 a^{2} b}+\frac{c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}-4 \textit{\_R1}^{2} b +2 \textit{\_R1} b c +2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{54 a^{2} b^{2}}"," ",0,"-1/36*d^7*exp(-d*x-c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^4-1/36*d^7*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x-1/12*d^6*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)-1/108/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4+8*_R1^2*b*c-10*_R1*b*c^2-2*a*d^3+2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/108*c^2/a^2/b*sum((_R1^2-2*_R1*c+c^2+6*_R1-6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/54*c/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3+4*_R1^2*b-2*_R1*b*c-2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/36*d^7*exp(d*x+c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^4+1/36*d^7*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x-1/12*d^6*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)-1/108/a^2/b^2*sum((_R1^2*b*c^2-_R1*a*d^3-2*_R1*b*c^3-a*c*d^3+b*c^4-8*_R1^2*b*c+10*_R1*b*c^2+2*a*d^3-2*b*c^3+8*_R1*b*c+2*b*c^2)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))-1/108*c^2/a^2/b*sum((_R1^2-2*_R1*c+c^2-6*_R1+6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/54*c/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3-4*_R1^2*b+2*_R1*b*c+2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
111,1,810,843,0.258000," ","int(x*cosh(d*x+c)/(b*x^3+a)^3,x)","\frac{d^{6} {\mathrm e}^{-d x -c} b \,x^{5}}{9 a^{2} \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{7} {\mathrm e}^{-d x -c} x^{3}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{7 d^{6} {\mathrm e}^{-d x -c} x^{2}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d^{7} {\mathrm e}^{-d x -c}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}+4 \textit{\_R1}^{2} b -2 \textit{\_R1} b c -2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 a^{2} b^{2}}+\frac{d c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}+6 \textit{\_R1} -6 c +10\right) {\mathrm e}^{-\textit{\_R1}} \Ei \left(1, d x -\textit{\_R1} +c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 a^{2} b}+\frac{d^{6} {\mathrm e}^{d x +c} b \,x^{5}}{9 a^{2} \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{d^{7} {\mathrm e}^{d x +c} x^{3}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{7 d^{6} {\mathrm e}^{d x +c} x^{2}}{36 a \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}+\frac{d^{7} {\mathrm e}^{d x +c}}{36 b \left(b^{2} d^{6} x^{6}+2 a b \,d^{6} x^{3}+a^{2} d^{6}\right)}-\frac{d \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2} b c -2 \textit{\_R1} b \,c^{2}-a \,d^{3}+b \,c^{3}-4 \textit{\_R1}^{2} b +2 \textit{\_R1} b c +2 b \,c^{2}+4 \textit{\_R1} b +6 c b \right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 a^{2} b^{2}}+\frac{d c \left(\munderset{\textit{\_R1} =\RootOf \left(b \,\textit{\_Z}^{3}-3 c b \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}{\sum}\frac{\left(\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}-6 \textit{\_R1} +6 c +10\right) {\mathrm e}^{\textit{\_R1}} \Ei \left(1, -d x +\textit{\_R1} -c \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} c +c^{2}}\right)}{108 a^{2} b}"," ",0,"1/9*d^6*exp(-d*x-c)/a^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*b*x^5-1/36*d^7*exp(-d*x-c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^3+7/36*d^6*exp(-d*x-c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^2-1/36*d^7*exp(-d*x-c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)-1/108*d/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3+4*_R1^2*b-2*_R1*b*c-2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108*d*c/a^2/b*sum((_R1^2-2*_R1*c+c^2+6*_R1-6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(-_R1)*Ei(1,d*x-_R1+c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/9*d^6*exp(d*x+c)/a^2/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*b*x^5+1/36*d^7*exp(d*x+c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^3+7/36*d^6*exp(d*x+c)/a/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)*x^2+1/36*d^7*exp(d*x+c)/b/(b^2*d^6*x^6+2*a*b*d^6*x^3+a^2*d^6)-1/108*d/a^2/b^2*sum((_R1^2*b*c-2*_R1*b*c^2-a*d^3+b*c^3-4*_R1^2*b+2*_R1*b*c+2*b*c^2+4*_R1*b+6*b*c)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))+1/108*d*c/a^2/b*sum((_R1^2-2*_R1*c+c^2-6*_R1+6*c+10)/(_R1^2-2*_R1*c+c^2)*exp(_R1)*Ei(1,-d*x+_R1-c),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"