1,1,152,0,0.135735," ","integrate(x^3*(b*x+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{4} x^{4} + a d^{4} x^{3} - 4 \, b d^{3} x^{3} - 3 \, a d^{3} x^{2} + 12 \, b d^{2} x^{2} + 6 \, a d^{2} x - 24 \, b d x - 6 \, a d + 24 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{5}} - \frac{{\left(b d^{4} x^{4} + a d^{4} x^{3} + 4 \, b d^{3} x^{3} + 3 \, a d^{3} x^{2} + 12 \, b d^{2} x^{2} + 6 \, a d^{2} x + 24 \, b d x + 6 \, a d + 24 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{5}}"," ",0,"1/2*(b*d^4*x^4 + a*d^4*x^3 - 4*b*d^3*x^3 - 3*a*d^3*x^2 + 12*b*d^2*x^2 + 6*a*d^2*x - 24*b*d*x - 6*a*d + 24*b)*e^(d*x + c)/d^5 - 1/2*(b*d^4*x^4 + a*d^4*x^3 + 4*b*d^3*x^3 + 3*a*d^3*x^2 + 12*b*d^2*x^2 + 6*a*d^2*x + 24*b*d*x + 6*a*d + 24*b)*e^(-d*x - c)/d^5","A",0
2,1,116,0,0.113490," ","integrate(x^2*(b*x+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{3} x^{3} + a d^{3} x^{2} - 3 \, b d^{2} x^{2} - 2 \, a d^{2} x + 6 \, b d x + 2 \, a d - 6 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{4}} - \frac{{\left(b d^{3} x^{3} + a d^{3} x^{2} + 3 \, b d^{2} x^{2} + 2 \, a d^{2} x + 6 \, b d x + 2 \, a d + 6 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{4}}"," ",0,"1/2*(b*d^3*x^3 + a*d^3*x^2 - 3*b*d^2*x^2 - 2*a*d^2*x + 6*b*d*x + 2*a*d - 6*b)*e^(d*x + c)/d^4 - 1/2*(b*d^3*x^3 + a*d^3*x^2 + 3*b*d^2*x^2 + 2*a*d^2*x + 6*b*d*x + 2*a*d + 6*b)*e^(-d*x - c)/d^4","A",0
3,1,79,0,0.117534," ","integrate(x*(b*x+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{2} x^{2} + a d^{2} x - 2 \, b d x - a d + 2 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{3}} - \frac{{\left(b d^{2} x^{2} + a d^{2} x + 2 \, b d x + a d + 2 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{3}}"," ",0,"1/2*(b*d^2*x^2 + a*d^2*x - 2*b*d*x - a*d + 2*b)*e^(d*x + c)/d^3 - 1/2*(b*d^2*x^2 + a*d^2*x + 2*b*d*x + a*d + 2*b)*e^(-d*x - c)/d^3","A",0
4,1,46,0,0.114743," ","integrate((b*x+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d x + a d - b\right)} e^{\left(d x + c\right)}}{2 \, d^{2}} - \frac{{\left(b d x + a d + b\right)} e^{\left(-d x - c\right)}}{2 \, d^{2}}"," ",0,"1/2*(b*d*x + a*d - b)*e^(d*x + c)/d^2 - 1/2*(b*d*x + a*d + b)*e^(-d*x - c)/d^2","A",0
5,1,47,0,0.137613," ","integrate((b*x+a)*cosh(d*x+c)/x,x, algorithm=""giac"")","\frac{a d {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d {\rm Ei}\left(d x\right) e^{c} + b e^{\left(d x + c\right)} - b e^{\left(-d x - c\right)}}{2 \, d}"," ",0,"1/2*(a*d*Ei(-d*x)*e^(-c) + a*d*Ei(d*x)*e^c + b*e^(d*x + c) - b*e^(-d*x - c))/d","A",0
6,1,72,0,0.117558," ","integrate((b*x+a)*cosh(d*x+c)/x^2,x, algorithm=""giac"")","-\frac{a d x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d x {\rm Ei}\left(d x\right) e^{c} - b x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - b x {\rm Ei}\left(d x\right) e^{c} + a e^{\left(d x + c\right)} + a e^{\left(-d x - c\right)}}{2 \, x}"," ",0,"-1/2*(a*d*x*Ei(-d*x)*e^(-c) - a*d*x*Ei(d*x)*e^c - b*x*Ei(-d*x)*e^(-c) - b*x*Ei(d*x)*e^c + a*e^(d*x + c) + a*e^(-d*x - c))/x","A",0
7,1,134,0,0.123076," ","integrate((b*x+a)*cosh(d*x+c)/x^3,x, algorithm=""giac"")","\frac{a d^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - 2 \, b d x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, b d x^{2} {\rm Ei}\left(d x\right) e^{c} - a d x e^{\left(d x + c\right)} + a d x e^{\left(-d x - c\right)} - 2 \, b x e^{\left(d x + c\right)} - 2 \, b x e^{\left(-d x - c\right)} - a e^{\left(d x + c\right)} - a e^{\left(-d x - c\right)}}{4 \, x^{2}}"," ",0,"1/4*(a*d^2*x^2*Ei(-d*x)*e^(-c) + a*d^2*x^2*Ei(d*x)*e^c - 2*b*d*x^2*Ei(-d*x)*e^(-c) + 2*b*d*x^2*Ei(d*x)*e^c - a*d*x*e^(d*x + c) + a*d*x*e^(-d*x - c) - 2*b*x*e^(d*x + c) - 2*b*x*e^(-d*x - c) - a*e^(d*x + c) - a*e^(-d*x - c))/x^2","A",0
8,1,199,0,0.146076," ","integrate((b*x+a)*cosh(d*x+c)/x^4,x, algorithm=""giac"")","-\frac{a d^{3} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d^{3} x^{3} {\rm Ei}\left(d x\right) e^{c} - 3 \, b d^{2} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 3 \, b d^{2} x^{3} {\rm Ei}\left(d x\right) e^{c} + a d^{2} x^{2} e^{\left(d x + c\right)} + a d^{2} x^{2} e^{\left(-d x - c\right)} + 3 \, b d x^{2} e^{\left(d x + c\right)} - 3 \, b d x^{2} e^{\left(-d x - c\right)} + a d x e^{\left(d x + c\right)} - a d x e^{\left(-d x - c\right)} + 3 \, b x e^{\left(d x + c\right)} + 3 \, b x e^{\left(-d x - c\right)} + 2 \, a e^{\left(d x + c\right)} + 2 \, a e^{\left(-d x - c\right)}}{12 \, x^{3}}"," ",0,"-1/12*(a*d^3*x^3*Ei(-d*x)*e^(-c) - a*d^3*x^3*Ei(d*x)*e^c - 3*b*d^2*x^3*Ei(-d*x)*e^(-c) - 3*b*d^2*x^3*Ei(d*x)*e^c + a*d^2*x^2*e^(d*x + c) + a*d^2*x^2*e^(-d*x - c) + 3*b*d*x^2*e^(d*x + c) - 3*b*d*x^2*e^(-d*x - c) + a*d*x*e^(d*x + c) - a*d*x*e^(-d*x - c) + 3*b*x*e^(d*x + c) + 3*b*x*e^(-d*x - c) + 2*a*e^(d*x + c) + 2*a*e^(-d*x - c))/x^3","A",0
9,1,266,0,0.143960," ","integrate((b*x+a)*cosh(d*x+c)/x^5,x, algorithm=""giac"")","\frac{a d^{4} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{4} x^{4} {\rm Ei}\left(d x\right) e^{c} - 4 \, b d^{3} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 4 \, b d^{3} x^{4} {\rm Ei}\left(d x\right) e^{c} - a d^{3} x^{3} e^{\left(d x + c\right)} + a d^{3} x^{3} e^{\left(-d x - c\right)} - 4 \, b d^{2} x^{3} e^{\left(d x + c\right)} - 4 \, b d^{2} x^{3} e^{\left(-d x - c\right)} - a d^{2} x^{2} e^{\left(d x + c\right)} - a d^{2} x^{2} e^{\left(-d x - c\right)} - 4 \, b d x^{2} e^{\left(d x + c\right)} + 4 \, b d x^{2} e^{\left(-d x - c\right)} - 2 \, a d x e^{\left(d x + c\right)} + 2 \, a d x e^{\left(-d x - c\right)} - 8 \, b x e^{\left(d x + c\right)} - 8 \, b x e^{\left(-d x - c\right)} - 6 \, a e^{\left(d x + c\right)} - 6 \, a e^{\left(-d x - c\right)}}{48 \, x^{4}}"," ",0,"1/48*(a*d^4*x^4*Ei(-d*x)*e^(-c) + a*d^4*x^4*Ei(d*x)*e^c - 4*b*d^3*x^4*Ei(-d*x)*e^(-c) + 4*b*d^3*x^4*Ei(d*x)*e^c - a*d^3*x^3*e^(d*x + c) + a*d^3*x^3*e^(-d*x - c) - 4*b*d^2*x^3*e^(d*x + c) - 4*b*d^2*x^3*e^(-d*x - c) - a*d^2*x^2*e^(d*x + c) - a*d^2*x^2*e^(-d*x - c) - 4*b*d*x^2*e^(d*x + c) + 4*b*d*x^2*e^(-d*x - c) - 2*a*d*x*e^(d*x + c) + 2*a*d*x*e^(-d*x - c) - 8*b*x*e^(d*x + c) - 8*b*x*e^(-d*x - c) - 6*a*e^(d*x + c) - 6*a*e^(-d*x - c))/x^4","A",0
10,1,236,0,0.136495," ","integrate(x^2*(b*x+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{4} x^{4} + 2 \, a b d^{4} x^{3} + a^{2} d^{4} x^{2} - 4 \, b^{2} d^{3} x^{3} - 6 \, a b d^{3} x^{2} - 2 \, a^{2} d^{3} x + 12 \, b^{2} d^{2} x^{2} + 12 \, a b d^{2} x + 2 \, a^{2} d^{2} - 24 \, b^{2} d x - 12 \, a b d + 24 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{5}} - \frac{{\left(b^{2} d^{4} x^{4} + 2 \, a b d^{4} x^{3} + a^{2} d^{4} x^{2} + 4 \, b^{2} d^{3} x^{3} + 6 \, a b d^{3} x^{2} + 2 \, a^{2} d^{3} x + 12 \, b^{2} d^{2} x^{2} + 12 \, a b d^{2} x + 2 \, a^{2} d^{2} + 24 \, b^{2} d x + 12 \, a b d + 24 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{5}}"," ",0,"1/2*(b^2*d^4*x^4 + 2*a*b*d^4*x^3 + a^2*d^4*x^2 - 4*b^2*d^3*x^3 - 6*a*b*d^3*x^2 - 2*a^2*d^3*x + 12*b^2*d^2*x^2 + 12*a*b*d^2*x + 2*a^2*d^2 - 24*b^2*d*x - 12*a*b*d + 24*b^2)*e^(d*x + c)/d^5 - 1/2*(b^2*d^4*x^4 + 2*a*b*d^4*x^3 + a^2*d^4*x^2 + 4*b^2*d^3*x^3 + 6*a*b*d^3*x^2 + 2*a^2*d^3*x + 12*b^2*d^2*x^2 + 12*a*b*d^2*x + 2*a^2*d^2 + 24*b^2*d*x + 12*a*b*d + 24*b^2)*e^(-d*x - c)/d^5","A",0
11,1,171,0,0.116793," ","integrate(x*(b*x+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{3} x^{3} + 2 \, a b d^{3} x^{2} + a^{2} d^{3} x - 3 \, b^{2} d^{2} x^{2} - 4 \, a b d^{2} x - a^{2} d^{2} + 6 \, b^{2} d x + 4 \, a b d - 6 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{4}} - \frac{{\left(b^{2} d^{3} x^{3} + 2 \, a b d^{3} x^{2} + a^{2} d^{3} x + 3 \, b^{2} d^{2} x^{2} + 4 \, a b d^{2} x + a^{2} d^{2} + 6 \, b^{2} d x + 4 \, a b d + 6 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{4}}"," ",0,"1/2*(b^2*d^3*x^3 + 2*a*b*d^3*x^2 + a^2*d^3*x - 3*b^2*d^2*x^2 - 4*a*b*d^2*x - a^2*d^2 + 6*b^2*d*x + 4*a*b*d - 6*b^2)*e^(d*x + c)/d^4 - 1/2*(b^2*d^3*x^3 + 2*a*b*d^3*x^2 + a^2*d^3*x + 3*b^2*d^2*x^2 + 4*a*b*d^2*x + a^2*d^2 + 6*b^2*d*x + 4*a*b*d + 6*b^2)*e^(-d*x - c)/d^4","A",0
12,1,112,0,0.133254," ","integrate((b*x+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2} - 2 \, b^{2} d x - 2 \, a b d + 2 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{3}} - \frac{{\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2} + 2 \, b^{2} d x + 2 \, a b d + 2 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{3}}"," ",0,"1/2*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2 - 2*b^2*d*x - 2*a*b*d + 2*b^2)*e^(d*x + c)/d^3 - 1/2*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2 + 2*b^2*d*x + 2*a*b*d + 2*b^2)*e^(-d*x - c)/d^3","B",0
13,1,113,0,0.143180," ","integrate((b*x+a)^2*cosh(d*x+c)/x,x, algorithm=""giac"")","\frac{a^{2} d^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{2} {\rm Ei}\left(d x\right) e^{c} + b^{2} d x e^{\left(d x + c\right)} - b^{2} d x e^{\left(-d x - c\right)} + 2 \, a b d e^{\left(d x + c\right)} - 2 \, a b d e^{\left(-d x - c\right)} - b^{2} e^{\left(d x + c\right)} - b^{2} e^{\left(-d x - c\right)}}{2 \, d^{2}}"," ",0,"1/2*(a^2*d^2*Ei(-d*x)*e^(-c) + a^2*d^2*Ei(d*x)*e^c + b^2*d*x*e^(d*x + c) - b^2*d*x*e^(-d*x - c) + 2*a*b*d*e^(d*x + c) - 2*a*b*d*e^(-d*x - c) - b^2*e^(d*x + c) - b^2*e^(-d*x - c))/d^2","A",0
14,1,119,0,0.134554," ","integrate((b*x+a)^2*cosh(d*x+c)/x^2,x, algorithm=""giac"")","-\frac{a^{2} d^{2} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{2} d^{2} x {\rm Ei}\left(d x\right) e^{c} - 2 \, a b d x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 2 \, a b d x {\rm Ei}\left(d x\right) e^{c} + a^{2} d e^{\left(d x + c\right)} - b^{2} x e^{\left(d x + c\right)} + a^{2} d e^{\left(-d x - c\right)} + b^{2} x e^{\left(-d x - c\right)}}{2 \, d x}"," ",0,"-1/2*(a^2*d^2*x*Ei(-d*x)*e^(-c) - a^2*d^2*x*Ei(d*x)*e^c - 2*a*b*d*x*Ei(-d*x)*e^(-c) - 2*a*b*d*x*Ei(d*x)*e^c + a^2*d*e^(d*x + c) - b^2*x*e^(d*x + c) + a^2*d*e^(-d*x - c) + b^2*x*e^(-d*x - c))/(d*x)","A",0
15,1,181,0,0.119111," ","integrate((b*x+a)^2*cosh(d*x+c)/x^3,x, algorithm=""giac"")","\frac{a^{2} d^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - 4 \, a b d x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 4 \, a b d x^{2} {\rm Ei}\left(d x\right) e^{c} + 2 \, b^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, b^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - a^{2} d x e^{\left(d x + c\right)} + a^{2} d x e^{\left(-d x - c\right)} - 4 \, a b x e^{\left(d x + c\right)} - 4 \, a b x e^{\left(-d x - c\right)} - a^{2} e^{\left(d x + c\right)} - a^{2} e^{\left(-d x - c\right)}}{4 \, x^{2}}"," ",0,"1/4*(a^2*d^2*x^2*Ei(-d*x)*e^(-c) + a^2*d^2*x^2*Ei(d*x)*e^c - 4*a*b*d*x^2*Ei(-d*x)*e^(-c) + 4*a*b*d*x^2*Ei(d*x)*e^c + 2*b^2*x^2*Ei(-d*x)*e^(-c) + 2*b^2*x^2*Ei(d*x)*e^c - a^2*d*x*e^(d*x + c) + a^2*d*x*e^(-d*x - c) - 4*a*b*x*e^(d*x + c) - 4*a*b*x*e^(-d*x - c) - a^2*e^(d*x + c) - a^2*e^(-d*x - c))/x^2","A",0
16,1,285,0,0.137796," ","integrate((b*x+a)^2*cosh(d*x+c)/x^4,x, algorithm=""giac"")","-\frac{a^{2} d^{3} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{2} d^{3} x^{3} {\rm Ei}\left(d x\right) e^{c} - 6 \, a b d^{2} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 6 \, a b d^{2} x^{3} {\rm Ei}\left(d x\right) e^{c} + 6 \, b^{2} d x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 6 \, b^{2} d x^{3} {\rm Ei}\left(d x\right) e^{c} + a^{2} d^{2} x^{2} e^{\left(d x + c\right)} + a^{2} d^{2} x^{2} e^{\left(-d x - c\right)} + 6 \, a b d x^{2} e^{\left(d x + c\right)} - 6 \, a b d x^{2} e^{\left(-d x - c\right)} + a^{2} d x e^{\left(d x + c\right)} + 6 \, b^{2} x^{2} e^{\left(d x + c\right)} - a^{2} d x e^{\left(-d x - c\right)} + 6 \, b^{2} x^{2} e^{\left(-d x - c\right)} + 6 \, a b x e^{\left(d x + c\right)} + 6 \, a b x e^{\left(-d x - c\right)} + 2 \, a^{2} e^{\left(d x + c\right)} + 2 \, a^{2} e^{\left(-d x - c\right)}}{12 \, x^{3}}"," ",0,"-1/12*(a^2*d^3*x^3*Ei(-d*x)*e^(-c) - a^2*d^3*x^3*Ei(d*x)*e^c - 6*a*b*d^2*x^3*Ei(-d*x)*e^(-c) - 6*a*b*d^2*x^3*Ei(d*x)*e^c + 6*b^2*d*x^3*Ei(-d*x)*e^(-c) - 6*b^2*d*x^3*Ei(d*x)*e^c + a^2*d^2*x^2*e^(d*x + c) + a^2*d^2*x^2*e^(-d*x - c) + 6*a*b*d*x^2*e^(d*x + c) - 6*a*b*d*x^2*e^(-d*x - c) + a^2*d*x*e^(d*x + c) + 6*b^2*x^2*e^(d*x + c) - a^2*d*x*e^(-d*x - c) + 6*b^2*x^2*e^(-d*x - c) + 6*a*b*x*e^(d*x + c) + 6*a*b*x*e^(-d*x - c) + 2*a^2*e^(d*x + c) + 2*a^2*e^(-d*x - c))/x^3","A",0
17,1,395,0,0.143035," ","integrate((b*x+a)^2*cosh(d*x+c)/x^5,x, algorithm=""giac"")","\frac{a^{2} d^{4} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{4} x^{4} {\rm Ei}\left(d x\right) e^{c} - 8 \, a b d^{3} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 8 \, a b d^{3} x^{4} {\rm Ei}\left(d x\right) e^{c} + 12 \, b^{2} d^{2} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 12 \, b^{2} d^{2} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{2} d^{3} x^{3} e^{\left(d x + c\right)} + a^{2} d^{3} x^{3} e^{\left(-d x - c\right)} - 8 \, a b d^{2} x^{3} e^{\left(d x + c\right)} - 8 \, a b d^{2} x^{3} e^{\left(-d x - c\right)} - a^{2} d^{2} x^{2} e^{\left(d x + c\right)} - 12 \, b^{2} d x^{3} e^{\left(d x + c\right)} - a^{2} d^{2} x^{2} e^{\left(-d x - c\right)} + 12 \, b^{2} d x^{3} e^{\left(-d x - c\right)} - 8 \, a b d x^{2} e^{\left(d x + c\right)} + 8 \, a b d x^{2} e^{\left(-d x - c\right)} - 2 \, a^{2} d x e^{\left(d x + c\right)} - 12 \, b^{2} x^{2} e^{\left(d x + c\right)} + 2 \, a^{2} d x e^{\left(-d x - c\right)} - 12 \, b^{2} x^{2} e^{\left(-d x - c\right)} - 16 \, a b x e^{\left(d x + c\right)} - 16 \, a b x e^{\left(-d x - c\right)} - 6 \, a^{2} e^{\left(d x + c\right)} - 6 \, a^{2} e^{\left(-d x - c\right)}}{48 \, x^{4}}"," ",0,"1/48*(a^2*d^4*x^4*Ei(-d*x)*e^(-c) + a^2*d^4*x^4*Ei(d*x)*e^c - 8*a*b*d^3*x^4*Ei(-d*x)*e^(-c) + 8*a*b*d^3*x^4*Ei(d*x)*e^c + 12*b^2*d^2*x^4*Ei(-d*x)*e^(-c) + 12*b^2*d^2*x^4*Ei(d*x)*e^c - a^2*d^3*x^3*e^(d*x + c) + a^2*d^3*x^3*e^(-d*x - c) - 8*a*b*d^2*x^3*e^(d*x + c) - 8*a*b*d^2*x^3*e^(-d*x - c) - a^2*d^2*x^2*e^(d*x + c) - 12*b^2*d*x^3*e^(d*x + c) - a^2*d^2*x^2*e^(-d*x - c) + 12*b^2*d*x^3*e^(-d*x - c) - 8*a*b*d*x^2*e^(d*x + c) + 8*a*b*d*x^2*e^(-d*x - c) - 2*a^2*d*x*e^(d*x + c) - 12*b^2*x^2*e^(d*x + c) + 2*a^2*d*x*e^(-d*x - c) - 12*b^2*x^2*e^(-d*x - c) - 16*a*b*x*e^(d*x + c) - 16*a*b*x*e^(-d*x - c) - 6*a^2*e^(d*x + c) - 6*a^2*e^(-d*x - c))/x^4","A",0
18,1,407,0,0.123838," ","integrate(x^4*cosh(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{b^{4} d^{3} x^{3} e^{\left(d x + c\right)} - b^{4} d^{3} x^{3} e^{\left(-d x - c\right)} - a b^{3} d^{3} x^{2} e^{\left(d x + c\right)} + a b^{3} d^{3} x^{2} e^{\left(-d x - c\right)} + a^{4} d^{4} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{4} d^{4} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a^{2} b^{2} d^{3} x e^{\left(d x + c\right)} - 3 \, b^{4} d^{2} x^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{3} x e^{\left(-d x - c\right)} - 3 \, b^{4} d^{2} x^{2} e^{\left(-d x - c\right)} - a^{3} b d^{3} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} x e^{\left(d x + c\right)} + a^{3} b d^{3} e^{\left(-d x - c\right)} + 2 \, a b^{3} d^{2} x e^{\left(-d x - c\right)} - a^{2} b^{2} d^{2} e^{\left(d x + c\right)} + 6 \, b^{4} d x e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} e^{\left(-d x - c\right)} - 6 \, b^{4} d x e^{\left(-d x - c\right)} - 2 \, a b^{3} d e^{\left(d x + c\right)} + 2 \, a b^{3} d e^{\left(-d x - c\right)} - 6 \, b^{4} e^{\left(d x + c\right)} - 6 \, b^{4} e^{\left(-d x - c\right)}}{2 \, b^{5} d^{4}}"," ",0,"1/2*(b^4*d^3*x^3*e^(d*x + c) - b^4*d^3*x^3*e^(-d*x - c) - a*b^3*d^3*x^2*e^(d*x + c) + a*b^3*d^3*x^2*e^(-d*x - c) + a^4*d^4*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^4*d^4*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a^2*b^2*d^3*x*e^(d*x + c) - 3*b^4*d^2*x^2*e^(d*x + c) - a^2*b^2*d^3*x*e^(-d*x - c) - 3*b^4*d^2*x^2*e^(-d*x - c) - a^3*b*d^3*e^(d*x + c) + 2*a*b^3*d^2*x*e^(d*x + c) + a^3*b*d^3*e^(-d*x - c) + 2*a*b^3*d^2*x*e^(-d*x - c) - a^2*b^2*d^2*e^(d*x + c) + 6*b^4*d*x*e^(d*x + c) - a^2*b^2*d^2*e^(-d*x - c) - 6*b^4*d*x*e^(-d*x - c) - 2*a*b^3*d*e^(d*x + c) + 2*a*b^3*d*e^(-d*x - c) - 6*b^4*e^(d*x + c) - 6*b^4*e^(-d*x - c))/(b^5*d^4)","A",0
19,1,256,0,0.146457," ","integrate(x^3*cosh(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{b^{3} d^{2} x^{2} e^{\left(d x + c\right)} - b^{3} d^{2} x^{2} e^{\left(-d x - c\right)} - a^{3} d^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - a^{3} d^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a b^{2} d^{2} x e^{\left(d x + c\right)} + a b^{2} d^{2} x e^{\left(-d x - c\right)} + a^{2} b d^{2} e^{\left(d x + c\right)} - 2 \, b^{3} d x e^{\left(d x + c\right)} - a^{2} b d^{2} e^{\left(-d x - c\right)} - 2 \, b^{3} d x e^{\left(-d x - c\right)} + a b^{2} d e^{\left(d x + c\right)} + a b^{2} d e^{\left(-d x - c\right)} + 2 \, b^{3} e^{\left(d x + c\right)} - 2 \, b^{3} e^{\left(-d x - c\right)}}{2 \, b^{4} d^{3}}"," ",0,"1/2*(b^3*d^2*x^2*e^(d*x + c) - b^3*d^2*x^2*e^(-d*x - c) - a^3*d^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - a^3*d^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a*b^2*d^2*x*e^(d*x + c) + a*b^2*d^2*x*e^(-d*x - c) + a^2*b*d^2*e^(d*x + c) - 2*b^3*d*x*e^(d*x + c) - a^2*b*d^2*e^(-d*x - c) - 2*b^3*d*x*e^(-d*x - c) + a*b^2*d*e^(d*x + c) + a*b^2*d*e^(-d*x - c) + 2*b^3*e^(d*x + c) - 2*b^3*e^(-d*x - c))/(b^4*d^3)","A",0
20,1,148,0,0.141878," ","integrate(x^2*cosh(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{a^{2} d^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{2} d^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + b^{2} d x e^{\left(d x + c\right)} - b^{2} d x e^{\left(-d x - c\right)} - a b d e^{\left(d x + c\right)} + a b d e^{\left(-d x - c\right)} - b^{2} e^{\left(d x + c\right)} - b^{2} e^{\left(-d x - c\right)}}{2 \, b^{3} d^{2}}"," ",0,"1/2*(a^2*d^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^2*d^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + b^2*d*x*e^(d*x + c) - b^2*d*x*e^(-d*x - c) - a*b*d*e^(d*x + c) + a*b*d*e^(-d*x - c) - b^2*e^(d*x + c) - b^2*e^(-d*x - c))/(b^3*d^2)","A",0
21,1,83,0,0.142599," ","integrate(x*cosh(d*x+c)/(b*x+a),x, algorithm=""giac"")","-\frac{a d {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a d {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - b e^{\left(d x + c\right)} + b e^{\left(-d x - c\right)}}{2 \, b^{2} d}"," ",0,"-1/2*(a*d*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a*d*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - b*e^(d*x + c) + b*e^(-d*x - c))/(b^2*d)","A",0
22,1,56,0,0.138712," ","integrate(cosh(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)}}{2 \, b}"," ",0,"1/2*(Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b))/b","A",0
23,1,75,0,0.141499," ","integrate(cosh(d*x+c)/x/(b*x+a),x, algorithm=""giac"")","\frac{{\rm Ei}\left(-d x\right) e^{\left(-c\right)} - {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + {\rm Ei}\left(d x\right) e^{c} - {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)}}{2 \, a}"," ",0,"1/2*(Ei(-d*x)*e^(-c) - Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + Ei(d*x)*e^c - Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b))/a","A",0
24,1,129,0,0.153120," ","integrate(cosh(d*x+c)/x^2/(b*x+a),x, algorithm=""giac"")","-\frac{a d x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d x {\rm Ei}\left(d x\right) e^{c} + b x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - b x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + b x {\rm Ei}\left(d x\right) e^{c} - b x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a e^{\left(d x + c\right)} + a e^{\left(-d x - c\right)}}{2 \, a^{2} x}"," ",0,"-1/2*(a*d*x*Ei(-d*x)*e^(-c) - a*d*x*Ei(d*x)*e^c + b*x*Ei(-d*x)*e^(-c) - b*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + b*x*Ei(d*x)*e^c - b*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a*e^(d*x + c) + a*e^(-d*x - c))/(a^2*x)","A",0
25,1,248,0,0.140815," ","integrate(cosh(d*x+c)/x^3/(b*x+a),x, algorithm=""giac"")","\frac{a^{2} d^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} + 2 \, a b d x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 2 \, a b d x^{2} {\rm Ei}\left(d x\right) e^{c} + 2 \, b^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 2 \, b^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, b^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - 2 \, b^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{2} d x e^{\left(d x + c\right)} + a^{2} d x e^{\left(-d x - c\right)} + 2 \, a b x e^{\left(d x + c\right)} + 2 \, a b x e^{\left(-d x - c\right)} - a^{2} e^{\left(d x + c\right)} - a^{2} e^{\left(-d x - c\right)}}{4 \, a^{3} x^{2}}"," ",0,"1/4*(a^2*d^2*x^2*Ei(-d*x)*e^(-c) + a^2*d^2*x^2*Ei(d*x)*e^c + 2*a*b*d*x^2*Ei(-d*x)*e^(-c) - 2*a*b*d*x^2*Ei(d*x)*e^c + 2*b^2*x^2*Ei(-d*x)*e^(-c) - 2*b^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*b^2*x^2*Ei(d*x)*e^c - 2*b^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^2*d*x*e^(d*x + c) + a^2*d*x*e^(-d*x - c) + 2*a*b*x*e^(d*x + c) + 2*a*b*x*e^(-d*x - c) - a^2*e^(d*x + c) - a^2*e^(-d*x - c))/(a^3*x^2)","A",0
26,1,2979,0,0.240588," ","integrate(x^4*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} a^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{4} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a^{4} b c d^{4} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a^{5} d^{5} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} a^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{4} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a^{4} b c d^{4} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{5} d^{5} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 4 \, {\left(b x + a\right)} a^{3} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + 4 \, a^{3} b^{2} c d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 4 \, a^{4} b d^{4} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 4 \, {\left(b x + a\right)} a^{3} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 4 \, a^{3} b^{2} c d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 4 \, a^{4} b d^{4} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{4} b d^{4} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a^{4} b d^{4} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)}^{3} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{3} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 3 \, {\left(b x + a\right)}^{2} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} c e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 3 \, {\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - b^{5} c^{3} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - {\left(b x + a\right)}^{2} a b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, {\left(b x + a\right)} a b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a b^{4} c^{2} d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)} a^{2} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a^{2} b^{3} c d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 3 \, a^{3} b^{2} d^{3} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - {\left(b x + a\right)}^{3} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{3} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 3 \, {\left(b x + a\right)}^{2} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} c e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 3 \, {\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + b^{5} c^{3} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)}^{2} a b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, {\left(b x + a\right)} a b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a b^{4} c^{2} d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - {\left(b x + a\right)} a^{2} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a^{2} b^{3} c d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 3 \, a^{3} b^{2} d^{3} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, {\left(b x + a\right)}^{2} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 4 \, {\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, b^{5} c^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, a^{2} b^{3} d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, {\left(b x + a\right)}^{2} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 4 \, {\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, b^{5} c^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, a^{2} b^{3} d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, {\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, b^{5} c e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, a b^{4} d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, {\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, b^{5} c e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, a b^{4} d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{2}}{2 \, {\left({\left(b x + a\right)} b^{8} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} - b^{9} c d^{2} + a b^{8} d^{3}\right)} d}"," ",0,"1/2*((b*x + a)*a^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^4*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a^4*b*c*d^4*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a^5*d^5*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*a^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^4*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a^4*b*c*d^4*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^5*d^5*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 4*(b*x + a)*a^3*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + 4*a^3*b^2*c*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 4*a^4*b*d^4*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 4*(b*x + a)*a^3*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 4*a^3*b^2*c*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 4*a^4*b*d^4*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^4*b*d^4*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a^4*b*d^4*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)^3*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^3*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 3*(b*x + a)^2*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*c*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 3*(b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - b^5*c^3*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - (b*x + a)^2*a*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*(b*x + a)*a*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a*b^4*c^2*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)*a^2*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a^2*b^3*c*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 3*a^3*b^2*d^3*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - (b*x + a)^3*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^3*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 3*(b*x + a)^2*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*c*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 3*(b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + b^5*c^3*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)^2*a*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*(b*x + a)*a*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a*b^4*c^2*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - (b*x + a)*a^2*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a^2*b^3*c*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 3*a^3*b^2*d^3*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*(b*x + a)^2*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 4*(b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*b^5*c^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*a^2*b^3*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*(b*x + a)^2*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 4*(b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*b^5*c^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*a^2*b^3*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*(b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*b^5*c*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*a*b^4*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*(b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*b^5*c*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*a*b^4*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^2/(((b*x + a)*b^8*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2 - b^9*c*d^2 + a*b^8*d^3)*d)","B",0
27,1,1991,0,0.212286," ","integrate(x^3*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left({\left(b x + a\right)} a^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a^{3} b c d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a^{4} d^{4} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} a^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a^{3} b c d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{4} d^{4} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 3 \, {\left(b x + a\right)} a^{2} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + 3 \, a^{2} b^{2} c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 3 \, a^{3} b d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 3 \, {\left(b x + a\right)} a^{2} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 3 \, a^{2} b^{2} c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 3 \, a^{3} b d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{3} b d^{3} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a^{3} b d^{3} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - {\left(b x + a\right)}^{2} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, {\left(b x + a\right)} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - b^{4} c^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)} a b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a b^{3} c d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)}^{2} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, {\left(b x + a\right)} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + b^{4} c^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - {\left(b x + a\right)} a b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a b^{3} c d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, a^{2} b^{2} d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - b^{4} c e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a b^{3} d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - b^{4} c e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a b^{3} d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{2}}{2 \, {\left({\left(b x + a\right)} b^{7} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d - b^{8} c d + a b^{7} d^{2}\right)} d}"," ",0,"-1/2*((b*x + a)*a^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a^3*b*c*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a^4*d^4*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*a^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a^3*b*c*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^4*d^4*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 3*(b*x + a)*a^2*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + 3*a^2*b^2*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 3*a^3*b*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 3*(b*x + a)*a^2*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 3*a^2*b^2*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 3*a^3*b*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^3*b*d^3*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a^3*b*d^3*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - (b*x + a)^2*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*(b*x + a)*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - b^4*c^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)*a*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a*b^3*c*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*a^2*b^2*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)^2*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*(b*x + a)*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + b^4*c^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - (b*x + a)*a*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a*b^3*c*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*a^2*b^2*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - b^4*c*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a*b^3*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - b^4*c*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a*b^3*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^2/(((b*x + a)*b^7*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d - b^8*c*d + a*b^7*d^2)*d)","B",0
28,1,1308,0,0.179200," ","integrate(x^2*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} a^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a^{2} b c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a^{3} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} a^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a^{2} b c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{3} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 2 \, {\left(b x + a\right)} a b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + 2 \, a b^{2} c d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 2 \, a^{2} b d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 2 \, {\left(b x + a\right)} a b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 2 \, a b^{2} c d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 2 \, a^{2} b d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{2} b d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a^{2} b d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + {\left(b x + a\right)} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - b^{3} c e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a b^{2} d e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - {\left(b x + a\right)} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + b^{3} c e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a b^{2} d e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{2}}{2 \, {\left({\left(b x + a\right)} b^{6} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b^{7} c + a b^{6} d\right)} d}"," ",0,"1/2*((b*x + a)*a^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a^2*b*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a^3*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*a^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a^2*b*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^3*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 2*(b*x + a)*a*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + 2*a*b^2*c*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 2*a^2*b*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 2*(b*x + a)*a*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 2*a*b^2*c*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 2*a^2*b*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^2*b*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a^2*b*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + (b*x + a)*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - b^3*c*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a*b^2*d*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - (b*x + a)*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + b^3*c*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a*b^2*d*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^2/(((b*x + a)*b^6*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b^7*c + a*b^6*d)*d)","B",0
29,1,994,0,0.188513," ","integrate(x*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left({\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a b c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a^{2} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a b c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{2} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + b^{2} c d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a b d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + b^{2} c d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a b d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a b d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a b d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b}{2 \, {\left({\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b^{5} c + a b^{4} d\right)} d}"," ",0,"-1/2*((b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a*b*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a^2*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a*b*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^2*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - (b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + b^2*c*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a*b*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + b^2*c*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a*b*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a*b*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a*b*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b/(((b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b^5*c + a*b^4*d)*d)","B",0
30,1,615,0,0.171235," ","integrate(cosh(d*x+c)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - b c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - b d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{2}}{2 \, {\left({\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b^{5} c + a b^{4} d\right)} d} - \frac{{\left({\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - b c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + b d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{2}}{2 \, {\left({\left(b x + a\right)} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b^{5} c + a b^{4} d\right)} d}"," ",0,"1/2*((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - b*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - b*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^2/(((b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b^5*c + a*b^4*d)*d) - 1/2*((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - b*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + b*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^2/(((b*x + a)*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b^5*c + a*b^4*d)*d)","B",0
31,1,1329,0,0.196394," ","integrate(cosh(d*x+c)/x/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left({\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a b c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a^{2} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a b c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a^{2} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} + b^{2} c d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} - a b d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} - {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} + b^{2} c d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - a b d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} + {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - b^{2} c d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + a b d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - b^{2} c d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a b d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - a b d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - a b d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{3}}{2 \, {\left({\left(b x + a\right)} a^{2} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - a^{2} b^{5} c + a^{3} b^{4} d\right)} d}"," ",0,"-1/2*((b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a*b*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a^2*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a*b*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a^2*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - (b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) + b^2*c*d*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) - a*b*d^2*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) - (b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c + b^2*c*d*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - a*b*d^2*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c + (b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - b^2*c*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + a*b*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + (b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - b^2*c*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a*b*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - a*b*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - a*b*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^3/(((b*x + a)*a^2*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d) - a^2*b^5*c + a^3*b^4*d)*d)","B",0
32,1,3353,0,0.222505," ","integrate(cosh(d*x+c)/x^2/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(b x + a\right)}^{2} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)}}{b} - 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} + a b c^{2} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} + \frac{{\left(b x + a\right)} a^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)}}{b} - a^{2} c d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} - \frac{{\left(b x + a\right)}^{2} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c}}{b} + 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - a b c^{2} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - \frac{{\left(b x + a\right)} a^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c}}{b} + a^{2} c d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - \frac{{\left(b x + a\right)}^{2} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)}}{b} + 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - a b c^{2} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - \frac{{\left(b x + a\right)} a^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)}}{b} + a^{2} c d^{3} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + \frac{{\left(b x + a\right)}^{2} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)}}{b} - 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + a b c^{2} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + \frac{{\left(b x + a\right)} a^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)}}{b} - a^{2} c d^{3} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 2 \, {\left(b x + a\right)}^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} - 4 \, {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} + 2 \, b^{2} c^{2} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} + 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} - 2 \, a b c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} + c\right) e^{\left(-c\right)} + 2 \, {\left(b x + a\right)}^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - 4 \, {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} + 2 \, b^{2} c^{2} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} + 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - 2 \, a b c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b} - c\right) e^{c} - 2 \, {\left(b x + a\right)}^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + 4 \, {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 2 \, b^{2} c^{2} d {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} + 2 \, a b c d^{2} {\rm Ei}\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(\frac{b c - a d}{b}\right)} - 2 \, {\left(b x + a\right)}^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 4 \, {\left(b x + a\right)} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 2 \, b^{2} c^{2} d {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} - 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 2 \, a b c d^{2} {\rm Ei}\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} - b c + a d}{b}\right) e^{\left(-\frac{b c - a d}{b}\right)} + 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, a b c d^{2} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a^{2} d^{3} e^{\left(\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + 2 \, {\left(b x + a\right)} a {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} - 2 \, a b c d^{2} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)} + a^{2} d^{3} e^{\left(-\frac{{\left(b x + a\right)} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}{b}\right)}\right)} b^{2}}{2 \, {\left({\left(b x + a\right)}^{2} a^{3} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} - 2 \, {\left(b x + a\right)} a^{3} b^{2} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c + a^{3} b^{3} c^{2} + {\left(b x + a\right)} a^{4} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d - a^{4} b^{2} c d\right)} d}"," ",0,"-1/2*((b*x + a)^2*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^2*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c)/b - 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d^2*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) + a*b*c^2*d^2*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) + (b*x + a)*a^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c)/b - a^2*c*d^3*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) - (b*x + a)^2*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^2*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c/b + 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d^2*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - a*b*c^2*d^2*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - (b*x + a)*a^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c/b + a^2*c*d^3*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - (b*x + a)^2*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b)/b + 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - a*b*c^2*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - (b*x + a)*a^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b)/b + a^2*c*d^3*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + (b*x + a)^2*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b)/b - 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + a*b*c^2*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + (b*x + a)*a^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b)/b - a^2*c*d^3*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 2*(b*x + a)^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) - 4*(b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) + 2*b^2*c^2*d*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) + 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) - 2*a*b*c*d^2*Ei(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b + c)*e^(-c) + 2*(b*x + a)^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - 4*(b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c + 2*b^2*c^2*d*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c + 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - 2*a*b*c*d^2*Ei((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b - c)*e^c - 2*(b*x + a)^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + 4*(b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 2*b^2*c^2*d*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) + 2*a*b*c*d^2*Ei(((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^((b*c - a*d)/b) - 2*(b*x + a)^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 4*(b*x + a)*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 2*b^2*c^2*d*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) - 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 2*a*b*c*d^2*Ei(-((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d) - b*c + a*d)/b)*e^(-(b*c - a*d)/b) + 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*a*b*c*d^2*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a^2*d^3*e^((b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + 2*(b*x + a)*a*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) - 2*a*b*c*d^2*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b) + a^2*d^3*e^(-(b*x + a)*(b*c/(b*x + a) - a*d/(b*x + a) + d)/b))*b^2/(((b*x + a)^2*a^3*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2 - 2*(b*x + a)*a^3*b^2*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c + a^3*b^3*c^2 + (b*x + a)*a^4*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d - a^4*b^2*c*d)*d)","B",0
33,1,879,0,0.145120," ","integrate(x^3*cosh(d*x+c)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{a^{3} b^{2} d^{3} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{3} b^{2} d^{3} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, a^{4} b d^{3} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 6 \, a^{2} b^{3} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{4} b d^{3} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 6 \, a^{2} b^{3} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a^{5} d^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 12 \, a^{3} b^{2} d^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 6 \, a b^{4} d x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{5} d^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 12 \, a^{3} b^{2} d^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 6 \, a b^{4} d x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{3} b^{2} d^{2} x e^{\left(d x + c\right)} + a^{3} b^{2} d^{2} x e^{\left(-d x - c\right)} - 6 \, a^{4} b d^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 12 \, a^{2} b^{3} d x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 6 \, a^{4} b d^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 12 \, a^{2} b^{3} d x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{4} b d^{2} e^{\left(d x + c\right)} + 6 \, a^{2} b^{3} d x e^{\left(d x + c\right)} - 2 \, b^{5} x^{2} e^{\left(d x + c\right)} + a^{4} b d^{2} e^{\left(-d x - c\right)} + 6 \, a^{2} b^{3} d x e^{\left(-d x - c\right)} + 2 \, b^{5} x^{2} e^{\left(-d x - c\right)} + 6 \, a^{3} b^{2} d {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 6 \, a^{3} b^{2} d {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 5 \, a^{3} b^{2} d e^{\left(d x + c\right)} - 4 \, a b^{4} x e^{\left(d x + c\right)} + 5 \, a^{3} b^{2} d e^{\left(-d x - c\right)} + 4 \, a b^{4} x e^{\left(-d x - c\right)} - 2 \, a^{2} b^{3} e^{\left(d x + c\right)} + 2 \, a^{2} b^{3} e^{\left(-d x - c\right)}}{4 \, {\left(b^{8} d x^{2} + 2 \, a b^{7} d x + a^{2} b^{6} d\right)}}"," ",0,"-1/4*(a^3*b^2*d^3*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^3*b^2*d^3*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*a^4*b*d^3*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 6*a^2*b^3*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^4*b*d^3*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 6*a^2*b^3*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a^5*d^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 12*a^3*b^2*d^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 6*a*b^4*d*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^5*d^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 12*a^3*b^2*d^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 6*a*b^4*d*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^3*b^2*d^2*x*e^(d*x + c) + a^3*b^2*d^2*x*e^(-d*x - c) - 6*a^4*b*d^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 12*a^2*b^3*d*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 6*a^4*b*d^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 12*a^2*b^3*d*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^4*b*d^2*e^(d*x + c) + 6*a^2*b^3*d*x*e^(d*x + c) - 2*b^5*x^2*e^(d*x + c) + a^4*b*d^2*e^(-d*x - c) + 6*a^2*b^3*d*x*e^(-d*x - c) + 2*b^5*x^2*e^(-d*x - c) + 6*a^3*b^2*d*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 6*a^3*b^2*d*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 5*a^3*b^2*d*e^(d*x + c) - 4*a*b^4*x*e^(d*x + c) + 5*a^3*b^2*d*e^(-d*x - c) + 4*a*b^4*x*e^(-d*x - c) - 2*a^2*b^3*e^(d*x + c) + 2*a^2*b^3*e^(-d*x - c))/(b^8*d*x^2 + 2*a*b^7*d*x + a^2*b^6*d)","B",0
34,1,741,0,0.130735," ","integrate(x^2*cosh(d*x+c)/(b*x+a)^3,x, algorithm=""giac"")","\frac{a^{2} b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{2} b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, a^{3} b d^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 4 \, a b^{3} d x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{3} b d^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 4 \, a b^{3} d x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a^{4} d^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 8 \, a^{2} b^{2} d x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, b^{4} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{4} d^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 8 \, a^{2} b^{2} d x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, b^{4} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{2} b^{2} d x e^{\left(d x + c\right)} + a^{2} b^{2} d x e^{\left(-d x - c\right)} - 4 \, a^{3} b d {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 4 \, a b^{3} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 4 \, a^{3} b d {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 4 \, a b^{3} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{3} b d e^{\left(d x + c\right)} + 4 \, a b^{3} x e^{\left(d x + c\right)} + a^{3} b d e^{\left(-d x - c\right)} + 4 \, a b^{3} x e^{\left(-d x - c\right)} + 2 \, a^{2} b^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{2} b^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 3 \, a^{2} b^{2} e^{\left(d x + c\right)} + 3 \, a^{2} b^{2} e^{\left(-d x - c\right)}}{4 \, {\left(b^{7} x^{2} + 2 \, a b^{6} x + a^{2} b^{5}\right)}}"," ",0,"1/4*(a^2*b^2*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^2*b^2*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*a^3*b*d^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 4*a*b^3*d*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^3*b*d^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 4*a*b^3*d*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a^4*d^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 8*a^2*b^2*d*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*b^4*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^4*d^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 8*a^2*b^2*d*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*b^4*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^2*b^2*d*x*e^(d*x + c) + a^2*b^2*d*x*e^(-d*x - c) - 4*a^3*b*d*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 4*a*b^3*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 4*a^3*b*d*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 4*a*b^3*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^3*b*d*e^(d*x + c) + 4*a*b^3*x*e^(d*x + c) + a^3*b*d*e^(-d*x - c) + 4*a*b^3*x*e^(-d*x - c) + 2*a^2*b^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^2*b^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 3*a^2*b^2*e^(d*x + c) + 3*a^2*b^2*e^(-d*x - c))/(b^7*x^2 + 2*a*b^6*x + a^2*b^5)","B",0
35,1,529,0,0.138088," ","integrate(x*cosh(d*x+c)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{a b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, a^{2} b d^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 2 \, b^{3} d x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{2} b d^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, b^{3} d x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a^{3} d^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 4 \, a b^{2} d x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{3} d^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 4 \, a b^{2} d x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a b^{2} d x e^{\left(d x + c\right)} + a b^{2} d x e^{\left(-d x - c\right)} - 2 \, a^{2} b d {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{2} b d {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{2} b d e^{\left(d x + c\right)} + 2 \, b^{3} x e^{\left(d x + c\right)} + a^{2} b d e^{\left(-d x - c\right)} + 2 \, b^{3} x e^{\left(-d x - c\right)} + a b^{2} e^{\left(d x + c\right)} + a b^{2} e^{\left(-d x - c\right)}}{4 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}"," ",0,"-1/4*(a*b^2*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a*b^2*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*a^2*b*d^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 2*b^3*d*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^2*b*d^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*b^3*d*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a^3*d^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 4*a*b^2*d*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^3*d^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 4*a*b^2*d*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a*b^2*d*x*e^(d*x + c) + a*b^2*d*x*e^(-d*x - c) - 2*a^2*b*d*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^2*b*d*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^2*b*d*e^(d*x + c) + 2*b^3*x*e^(d*x + c) + a^2*b*d*e^(-d*x - c) + 2*b^3*x*e^(-d*x - c) + a*b^2*e^(d*x + c) + a*b^2*e^(-d*x - c))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4)","B",0
36,1,298,0,0.125350," ","integrate(cosh(d*x+c)/(b*x+a)^3,x, algorithm=""giac"")","\frac{b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, a b d^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a b d^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a^{2} d^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{2} d^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - b^{2} d x e^{\left(d x + c\right)} + b^{2} d x e^{\left(-d x - c\right)} - a b d e^{\left(d x + c\right)} + a b d e^{\left(-d x - c\right)} - b^{2} e^{\left(d x + c\right)} - b^{2} e^{\left(-d x - c\right)}}{4 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}"," ",0,"1/4*(b^2*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + b^2*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*a*b*d^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a*b*d^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a^2*d^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^2*d^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - b^2*d*x*e^(d*x + c) + b^2*d*x*e^(-d*x - c) - a*b*d*e^(d*x + c) + a*b*d*e^(-d*x - c) - b^2*e^(d*x + c) - b^2*e^(-d*x - c))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)","B",0
37,1,837,0,0.143036," ","integrate(cosh(d*x+c)/x/(b*x+a)^3,x, algorithm=""giac"")","-\frac{a^{2} b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{2} b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, a^{3} b d^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a b^{3} d x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{3} b d^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 2 \, a b^{3} d x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 2 \, b^{4} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{4} d^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 4 \, a^{2} b^{2} d x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, b^{4} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 2 \, b^{4} x^{2} {\rm Ei}\left(d x\right) e^{c} + a^{4} d^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 4 \, a^{2} b^{2} d x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, b^{4} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{2} b^{2} d x e^{\left(d x + c\right)} + a^{2} b^{2} d x e^{\left(-d x - c\right)} - 4 \, a b^{3} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, a^{3} b d {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 4 \, a b^{3} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 4 \, a b^{3} x {\rm Ei}\left(d x\right) e^{c} - 2 \, a^{3} b d {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 4 \, a b^{3} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{3} b d e^{\left(d x + c\right)} - 2 \, a b^{3} x e^{\left(d x + c\right)} + a^{3} b d e^{\left(-d x - c\right)} - 2 \, a b^{3} x e^{\left(-d x - c\right)} - 2 \, a^{2} b^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, a^{2} b^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 2 \, a^{2} b^{2} {\rm Ei}\left(d x\right) e^{c} + 2 \, a^{2} b^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 3 \, a^{2} b^{2} e^{\left(d x + c\right)} - 3 \, a^{2} b^{2} e^{\left(-d x - c\right)}}{4 \, {\left(a^{3} b^{4} x^{2} + 2 \, a^{4} b^{3} x + a^{5} b^{2}\right)}}"," ",0,"-1/4*(a^2*b^2*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^2*b^2*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*a^3*b*d^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a*b^3*d*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^3*b*d^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 2*a*b^3*d*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 2*b^4*x^2*Ei(-d*x)*e^(-c) + a^4*d^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 4*a^2*b^2*d*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*b^4*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 2*b^4*x^2*Ei(d*x)*e^c + a^4*d^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 4*a^2*b^2*d*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*b^4*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^2*b^2*d*x*e^(d*x + c) + a^2*b^2*d*x*e^(-d*x - c) - 4*a*b^3*x*Ei(-d*x)*e^(-c) + 2*a^3*b*d*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 4*a*b^3*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 4*a*b^3*x*Ei(d*x)*e^c - 2*a^3*b*d*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 4*a*b^3*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^3*b*d*e^(d*x + c) - 2*a*b^3*x*e^(d*x + c) + a^3*b*d*e^(-d*x - c) - 2*a*b^3*x*e^(-d*x - c) - 2*a^2*b^2*Ei(-d*x)*e^(-c) + 2*a^2*b^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 2*a^2*b^2*Ei(d*x)*e^c + 2*a^2*b^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 3*a^2*b^2*e^(d*x + c) - 3*a^2*b^2*e^(-d*x - c))/(a^3*b^4*x^2 + 2*a^4*b^3*x + a^5*b^2)","B",0
38,1,1006,0,0.145756," ","integrate(cosh(d*x+c)/x^2/(b*x+a)^3,x, algorithm=""giac"")","\frac{a^{2} b^{2} d^{2} x^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{2} b^{2} d^{2} x^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 2 \, a b^{3} d x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, a^{3} b d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 4 \, a b^{3} d x^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a b^{3} d x^{3} {\rm Ei}\left(d x\right) e^{c} + 2 \, a^{3} b d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 4 \, a b^{3} d x^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 4 \, a^{2} b^{2} d x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 6 \, b^{4} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{4} d^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 8 \, a^{2} b^{2} d x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 6 \, b^{4} x^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 4 \, a^{2} b^{2} d x^{2} {\rm Ei}\left(d x\right) e^{c} - 6 \, b^{4} x^{3} {\rm Ei}\left(d x\right) e^{c} + a^{4} d^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 8 \, a^{2} b^{2} d x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 6 \, b^{4} x^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{2} b^{2} d x^{2} e^{\left(d x + c\right)} + a^{2} b^{2} d x^{2} e^{\left(-d x - c\right)} - 2 \, a^{3} b d x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 12 \, a b^{3} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 4 \, a^{3} b d x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 12 \, a b^{3} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{3} b d x {\rm Ei}\left(d x\right) e^{c} - 12 \, a b^{3} x^{2} {\rm Ei}\left(d x\right) e^{c} - 4 \, a^{3} b d x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 12 \, a b^{3} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{3} b d x e^{\left(d x + c\right)} - 6 \, a b^{3} x^{2} e^{\left(d x + c\right)} + a^{3} b d x e^{\left(-d x - c\right)} - 6 \, a b^{3} x^{2} e^{\left(-d x - c\right)} - 6 \, a^{2} b^{2} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 6 \, a^{2} b^{2} x {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 6 \, a^{2} b^{2} x {\rm Ei}\left(d x\right) e^{c} + 6 \, a^{2} b^{2} x {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 9 \, a^{2} b^{2} x e^{\left(d x + c\right)} - 9 \, a^{2} b^{2} x e^{\left(-d x - c\right)} - 2 \, a^{3} b e^{\left(d x + c\right)} - 2 \, a^{3} b e^{\left(-d x - c\right)}}{4 \, {\left(a^{4} b^{3} x^{3} + 2 \, a^{5} b^{2} x^{2} + a^{6} b x\right)}}"," ",0,"1/4*(a^2*b^2*d^2*x^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^2*b^2*d^2*x^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 2*a*b^3*d*x^3*Ei(-d*x)*e^(-c) + 2*a^3*b*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 4*a*b^3*d*x^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a*b^3*d*x^3*Ei(d*x)*e^c + 2*a^3*b*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 4*a*b^3*d*x^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 4*a^2*b^2*d*x^2*Ei(-d*x)*e^(-c) - 6*b^4*x^3*Ei(-d*x)*e^(-c) + a^4*d^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 8*a^2*b^2*d*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 6*b^4*x^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 4*a^2*b^2*d*x^2*Ei(d*x)*e^c - 6*b^4*x^3*Ei(d*x)*e^c + a^4*d^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 8*a^2*b^2*d*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 6*b^4*x^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^2*b^2*d*x^2*e^(d*x + c) + a^2*b^2*d*x^2*e^(-d*x - c) - 2*a^3*b*d*x*Ei(-d*x)*e^(-c) - 12*a*b^3*x^2*Ei(-d*x)*e^(-c) + 4*a^3*b*d*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 12*a*b^3*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^3*b*d*x*Ei(d*x)*e^c - 12*a*b^3*x^2*Ei(d*x)*e^c - 4*a^3*b*d*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 12*a*b^3*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^3*b*d*x*e^(d*x + c) - 6*a*b^3*x^2*e^(d*x + c) + a^3*b*d*x*e^(-d*x - c) - 6*a*b^3*x^2*e^(-d*x - c) - 6*a^2*b^2*x*Ei(-d*x)*e^(-c) + 6*a^2*b^2*x*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 6*a^2*b^2*x*Ei(d*x)*e^c + 6*a^2*b^2*x*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 9*a^2*b^2*x*e^(d*x + c) - 9*a^2*b^2*x*e^(-d*x - c) - 2*a^3*b*e^(d*x + c) - 2*a^3*b*e^(-d*x - c))/(a^4*b^3*x^3 + 2*a^5*b^2*x^2 + a^6*b*x)","B",0
39,1,1169,0,0.138536," ","integrate(cosh(d*x+c)/x^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{a^{2} b^{2} d^{2} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{2} b^{2} d^{2} x^{4} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{2} b^{2} d^{2} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{2} b^{2} d^{2} x^{4} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 2 \, a^{3} b d^{2} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 6 \, a b^{3} d x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 2 \, a^{3} b d^{2} x^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 6 \, a b^{3} d x^{4} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 2 \, a^{3} b d^{2} x^{3} {\rm Ei}\left(d x\right) e^{c} - 6 \, a b^{3} d x^{4} {\rm Ei}\left(d x\right) e^{c} - 2 \, a^{3} b d^{2} x^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 6 \, a b^{3} d x^{4} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + a^{4} d^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 12 \, a^{2} b^{2} d x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 12 \, b^{4} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{4} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 12 \, a^{2} b^{2} d x^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 12 \, b^{4} x^{4} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + a^{4} d^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - 12 \, a^{2} b^{2} d x^{3} {\rm Ei}\left(d x\right) e^{c} + 12 \, b^{4} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{4} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 12 \, a^{2} b^{2} d x^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 12 \, b^{4} x^{4} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} + 6 \, a^{3} b d x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 24 \, a b^{3} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 6 \, a^{3} b d x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 24 \, a b^{3} x^{3} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} - 6 \, a^{3} b d x^{2} {\rm Ei}\left(d x\right) e^{c} + 24 \, a b^{3} x^{3} {\rm Ei}\left(d x\right) e^{c} + 6 \, a^{3} b d x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - 24 \, a b^{3} x^{3} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{3} b d x^{2} e^{\left(d x + c\right)} + 12 \, a b^{3} x^{3} e^{\left(d x + c\right)} + a^{3} b d x^{2} e^{\left(-d x - c\right)} + 12 \, a b^{3} x^{3} e^{\left(-d x - c\right)} + 12 \, a^{2} b^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 12 \, a^{2} b^{2} x^{2} {\rm Ei}\left(\frac{b d x + a d}{b}\right) e^{\left(c - \frac{a d}{b}\right)} + 12 \, a^{2} b^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - 12 \, a^{2} b^{2} x^{2} {\rm Ei}\left(-\frac{b d x + a d}{b}\right) e^{\left(-c + \frac{a d}{b}\right)} - a^{4} d x e^{\left(d x + c\right)} + 18 \, a^{2} b^{2} x^{2} e^{\left(d x + c\right)} + a^{4} d x e^{\left(-d x - c\right)} + 18 \, a^{2} b^{2} x^{2} e^{\left(-d x - c\right)} + 4 \, a^{3} b x e^{\left(d x + c\right)} + 4 \, a^{3} b x e^{\left(-d x - c\right)} - a^{4} e^{\left(d x + c\right)} - a^{4} e^{\left(-d x - c\right)}}{4 \, {\left(a^{5} b^{2} x^{4} + 2 \, a^{6} b x^{3} + a^{7} x^{2}\right)}}"," ",0,"1/4*(a^2*b^2*d^2*x^4*Ei(-d*x)*e^(-c) - a^2*b^2*d^2*x^4*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^2*b^2*d^2*x^4*Ei(d*x)*e^c - a^2*b^2*d^2*x^4*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 2*a^3*b*d^2*x^3*Ei(-d*x)*e^(-c) + 6*a*b^3*d*x^4*Ei(-d*x)*e^(-c) - 2*a^3*b*d^2*x^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 6*a*b^3*d*x^4*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 2*a^3*b*d^2*x^3*Ei(d*x)*e^c - 6*a*b^3*d*x^4*Ei(d*x)*e^c - 2*a^3*b*d^2*x^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 6*a*b^3*d*x^4*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + a^4*d^2*x^2*Ei(-d*x)*e^(-c) + 12*a^2*b^2*d*x^3*Ei(-d*x)*e^(-c) + 12*b^4*x^4*Ei(-d*x)*e^(-c) - a^4*d^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 12*a^2*b^2*d*x^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 12*b^4*x^4*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + a^4*d^2*x^2*Ei(d*x)*e^c - 12*a^2*b^2*d*x^3*Ei(d*x)*e^c + 12*b^4*x^4*Ei(d*x)*e^c - a^4*d^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 12*a^2*b^2*d*x^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 12*b^4*x^4*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) + 6*a^3*b*d*x^2*Ei(-d*x)*e^(-c) + 24*a*b^3*x^3*Ei(-d*x)*e^(-c) - 6*a^3*b*d*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 24*a*b^3*x^3*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) - 6*a^3*b*d*x^2*Ei(d*x)*e^c + 24*a*b^3*x^3*Ei(d*x)*e^c + 6*a^3*b*d*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - 24*a*b^3*x^3*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^3*b*d*x^2*e^(d*x + c) + 12*a*b^3*x^3*e^(d*x + c) + a^3*b*d*x^2*e^(-d*x - c) + 12*a*b^3*x^3*e^(-d*x - c) + 12*a^2*b^2*x^2*Ei(-d*x)*e^(-c) - 12*a^2*b^2*x^2*Ei((b*d*x + a*d)/b)*e^(c - a*d/b) + 12*a^2*b^2*x^2*Ei(d*x)*e^c - 12*a^2*b^2*x^2*Ei(-(b*d*x + a*d)/b)*e^(-c + a*d/b) - a^4*d*x*e^(d*x + c) + 18*a^2*b^2*x^2*e^(d*x + c) + a^4*d*x*e^(-d*x - c) + 18*a^2*b^2*x^2*e^(-d*x - c) + 4*a^3*b*x*e^(d*x + c) + 4*a^3*b*x*e^(-d*x - c) - a^4*e^(d*x + c) - a^4*e^(-d*x - c))/(a^5*b^2*x^4 + 2*a^6*b*x^3 + a^7*x^2)","B",0
40,1,174,0,0.123156," ","integrate(x^3*(b*x^2+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{5} x^{5} + a d^{5} x^{3} - 5 \, b d^{4} x^{4} - 3 \, a d^{4} x^{2} + 20 \, b d^{3} x^{3} + 6 \, a d^{3} x - 60 \, b d^{2} x^{2} - 6 \, a d^{2} + 120 \, b d x - 120 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{6}} - \frac{{\left(b d^{5} x^{5} + a d^{5} x^{3} + 5 \, b d^{4} x^{4} + 3 \, a d^{4} x^{2} + 20 \, b d^{3} x^{3} + 6 \, a d^{3} x + 60 \, b d^{2} x^{2} + 6 \, a d^{2} + 120 \, b d x + 120 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{6}}"," ",0,"1/2*(b*d^5*x^5 + a*d^5*x^3 - 5*b*d^4*x^4 - 3*a*d^4*x^2 + 20*b*d^3*x^3 + 6*a*d^3*x - 60*b*d^2*x^2 - 6*a*d^2 + 120*b*d*x - 120*b)*e^(d*x + c)/d^6 - 1/2*(b*d^5*x^5 + a*d^5*x^3 + 5*b*d^4*x^4 + 3*a*d^4*x^2 + 20*b*d^3*x^3 + 6*a*d^3*x + 60*b*d^2*x^2 + 6*a*d^2 + 120*b*d*x + 120*b)*e^(-d*x - c)/d^6","A",0
41,1,138,0,0.119796," ","integrate(x^2*(b*x^2+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{4} x^{4} + a d^{4} x^{2} - 4 \, b d^{3} x^{3} - 2 \, a d^{3} x + 12 \, b d^{2} x^{2} + 2 \, a d^{2} - 24 \, b d x + 24 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{5}} - \frac{{\left(b d^{4} x^{4} + a d^{4} x^{2} + 4 \, b d^{3} x^{3} + 2 \, a d^{3} x + 12 \, b d^{2} x^{2} + 2 \, a d^{2} + 24 \, b d x + 24 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{5}}"," ",0,"1/2*(b*d^4*x^4 + a*d^4*x^2 - 4*b*d^3*x^3 - 2*a*d^3*x + 12*b*d^2*x^2 + 2*a*d^2 - 24*b*d*x + 24*b)*e^(d*x + c)/d^5 - 1/2*(b*d^4*x^4 + a*d^4*x^2 + 4*b*d^3*x^3 + 2*a*d^3*x + 12*b*d^2*x^2 + 2*a*d^2 + 24*b*d*x + 24*b)*e^(-d*x - c)/d^5","A",0
42,1,101,0,0.113852," ","integrate(x*(b*x^2+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{3} x^{3} + a d^{3} x - 3 \, b d^{2} x^{2} - a d^{2} + 6 \, b d x - 6 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{4}} - \frac{{\left(b d^{3} x^{3} + a d^{3} x + 3 \, b d^{2} x^{2} + a d^{2} + 6 \, b d x + 6 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{4}}"," ",0,"1/2*(b*d^3*x^3 + a*d^3*x - 3*b*d^2*x^2 - a*d^2 + 6*b*d*x - 6*b)*e^(d*x + c)/d^4 - 1/2*(b*d^3*x^3 + a*d^3*x + 3*b*d^2*x^2 + a*d^2 + 6*b*d*x + 6*b)*e^(-d*x - c)/d^4","A",0
43,1,70,0,0.146306," ","integrate((b*x^2+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{2} x^{2} + a d^{2} - 2 \, b d x + 2 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{3}} - \frac{{\left(b d^{2} x^{2} + a d^{2} + 2 \, b d x + 2 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{3}}"," ",0,"1/2*(b*d^2*x^2 + a*d^2 - 2*b*d*x + 2*b)*e^(d*x + c)/d^3 - 1/2*(b*d^2*x^2 + a*d^2 + 2*b*d*x + 2*b)*e^(-d*x - c)/d^3","A",0
44,1,76,0,0.120650," ","integrate((b*x^2+a)*cosh(d*x+c)/x,x, algorithm=""giac"")","\frac{a d^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{2} {\rm Ei}\left(d x\right) e^{c} + b d x e^{\left(d x + c\right)} - b d x e^{\left(-d x - c\right)} - b e^{\left(d x + c\right)} - b e^{\left(-d x - c\right)}}{2 \, d^{2}}"," ",0,"1/2*(a*d^2*Ei(-d*x)*e^(-c) + a*d^2*Ei(d*x)*e^c + b*d*x*e^(d*x + c) - b*d*x*e^(-d*x - c) - b*e^(d*x + c) - b*e^(-d*x - c))/d^2","A",0
45,1,80,0,0.121058," ","integrate((b*x^2+a)*cosh(d*x+c)/x^2,x, algorithm=""giac"")","-\frac{a d^{2} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d^{2} x {\rm Ei}\left(d x\right) e^{c} + a d e^{\left(d x + c\right)} - b x e^{\left(d x + c\right)} + a d e^{\left(-d x - c\right)} + b x e^{\left(-d x - c\right)}}{2 \, d x}"," ",0,"-1/2*(a*d^2*x*Ei(-d*x)*e^(-c) - a*d^2*x*Ei(d*x)*e^c + a*d*e^(d*x + c) - b*x*e^(d*x + c) + a*d*e^(-d*x - c) + b*x*e^(-d*x - c))/(d*x)","A",0
46,1,109,0,0.119155," ","integrate((b*x^2+a)*cosh(d*x+c)/x^3,x, algorithm=""giac"")","\frac{a d^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} + 2 \, b x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, b x^{2} {\rm Ei}\left(d x\right) e^{c} - a d x e^{\left(d x + c\right)} + a d x e^{\left(-d x - c\right)} - a e^{\left(d x + c\right)} - a e^{\left(-d x - c\right)}}{4 \, x^{2}}"," ",0,"1/4*(a*d^2*x^2*Ei(-d*x)*e^(-c) + a*d^2*x^2*Ei(d*x)*e^c + 2*b*x^2*Ei(-d*x)*e^(-c) + 2*b*x^2*Ei(d*x)*e^c - a*d*x*e^(d*x + c) + a*d*x*e^(-d*x - c) - a*e^(d*x + c) - a*e^(-d*x - c))/x^2","A",0
47,1,170,0,0.119978," ","integrate((b*x^2+a)*cosh(d*x+c)/x^4,x, algorithm=""giac"")","-\frac{a d^{3} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d^{3} x^{3} {\rm Ei}\left(d x\right) e^{c} + 6 \, b d x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 6 \, b d x^{3} {\rm Ei}\left(d x\right) e^{c} + a d^{2} x^{2} e^{\left(d x + c\right)} + a d^{2} x^{2} e^{\left(-d x - c\right)} + a d x e^{\left(d x + c\right)} + 6 \, b x^{2} e^{\left(d x + c\right)} - a d x e^{\left(-d x - c\right)} + 6 \, b x^{2} e^{\left(-d x - c\right)} + 2 \, a e^{\left(d x + c\right)} + 2 \, a e^{\left(-d x - c\right)}}{12 \, x^{3}}"," ",0,"-1/12*(a*d^3*x^3*Ei(-d*x)*e^(-c) - a*d^3*x^3*Ei(d*x)*e^c + 6*b*d*x^3*Ei(-d*x)*e^(-c) - 6*b*d*x^3*Ei(d*x)*e^c + a*d^2*x^2*e^(d*x + c) + a*d^2*x^2*e^(-d*x - c) + a*d*x*e^(d*x + c) + 6*b*x^2*e^(d*x + c) - a*d*x*e^(-d*x - c) + 6*b*x^2*e^(-d*x - c) + 2*a*e^(d*x + c) + 2*a*e^(-d*x - c))/x^3","A",0
48,1,237,0,0.143720," ","integrate((b*x^2+a)*cosh(d*x+c)/x^5,x, algorithm=""giac"")","\frac{a d^{4} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{4} x^{4} {\rm Ei}\left(d x\right) e^{c} + 12 \, b d^{2} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 12 \, b d^{2} x^{4} {\rm Ei}\left(d x\right) e^{c} - a d^{3} x^{3} e^{\left(d x + c\right)} + a d^{3} x^{3} e^{\left(-d x - c\right)} - a d^{2} x^{2} e^{\left(d x + c\right)} - 12 \, b d x^{3} e^{\left(d x + c\right)} - a d^{2} x^{2} e^{\left(-d x - c\right)} + 12 \, b d x^{3} e^{\left(-d x - c\right)} - 2 \, a d x e^{\left(d x + c\right)} - 12 \, b x^{2} e^{\left(d x + c\right)} + 2 \, a d x e^{\left(-d x - c\right)} - 12 \, b x^{2} e^{\left(-d x - c\right)} - 6 \, a e^{\left(d x + c\right)} - 6 \, a e^{\left(-d x - c\right)}}{48 \, x^{4}}"," ",0,"1/48*(a*d^4*x^4*Ei(-d*x)*e^(-c) + a*d^4*x^4*Ei(d*x)*e^c + 12*b*d^2*x^4*Ei(-d*x)*e^(-c) + 12*b*d^2*x^4*Ei(d*x)*e^c - a*d^3*x^3*e^(d*x + c) + a*d^3*x^3*e^(-d*x - c) - a*d^2*x^2*e^(d*x + c) - 12*b*d*x^3*e^(d*x + c) - a*d^2*x^2*e^(-d*x - c) + 12*b*d*x^3*e^(-d*x - c) - 2*a*d*x*e^(d*x + c) - 12*b*x^2*e^(d*x + c) + 2*a*d*x*e^(-d*x - c) - 12*b*x^2*e^(-d*x - c) - 6*a*e^(d*x + c) - 6*a*e^(-d*x - c))/x^4","A",0
49,1,304,0,0.143495," ","integrate(x^2*(b*x^2+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{6} x^{6} + 2 \, a b d^{6} x^{4} - 6 \, b^{2} d^{5} x^{5} + a^{2} d^{6} x^{2} - 8 \, a b d^{5} x^{3} + 30 \, b^{2} d^{4} x^{4} - 2 \, a^{2} d^{5} x + 24 \, a b d^{4} x^{2} - 120 \, b^{2} d^{3} x^{3} + 2 \, a^{2} d^{4} - 48 \, a b d^{3} x + 360 \, b^{2} d^{2} x^{2} + 48 \, a b d^{2} - 720 \, b^{2} d x + 720 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{7}} - \frac{{\left(b^{2} d^{6} x^{6} + 2 \, a b d^{6} x^{4} + 6 \, b^{2} d^{5} x^{5} + a^{2} d^{6} x^{2} + 8 \, a b d^{5} x^{3} + 30 \, b^{2} d^{4} x^{4} + 2 \, a^{2} d^{5} x + 24 \, a b d^{4} x^{2} + 120 \, b^{2} d^{3} x^{3} + 2 \, a^{2} d^{4} + 48 \, a b d^{3} x + 360 \, b^{2} d^{2} x^{2} + 48 \, a b d^{2} + 720 \, b^{2} d x + 720 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{7}}"," ",0,"1/2*(b^2*d^6*x^6 + 2*a*b*d^6*x^4 - 6*b^2*d^5*x^5 + a^2*d^6*x^2 - 8*a*b*d^5*x^3 + 30*b^2*d^4*x^4 - 2*a^2*d^5*x + 24*a*b*d^4*x^2 - 120*b^2*d^3*x^3 + 2*a^2*d^4 - 48*a*b*d^3*x + 360*b^2*d^2*x^2 + 48*a*b*d^2 - 720*b^2*d*x + 720*b^2)*e^(d*x + c)/d^7 - 1/2*(b^2*d^6*x^6 + 2*a*b*d^6*x^4 + 6*b^2*d^5*x^5 + a^2*d^6*x^2 + 8*a*b*d^5*x^3 + 30*b^2*d^4*x^4 + 2*a^2*d^5*x + 24*a*b*d^4*x^2 + 120*b^2*d^3*x^3 + 2*a^2*d^4 + 48*a*b*d^3*x + 360*b^2*d^2*x^2 + 48*a*b*d^2 + 720*b^2*d*x + 720*b^2)*e^(-d*x - c)/d^7","A",0
50,1,239,0,0.143815," ","integrate(x*(b*x^2+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{5} x^{5} + 2 \, a b d^{5} x^{3} - 5 \, b^{2} d^{4} x^{4} + a^{2} d^{5} x - 6 \, a b d^{4} x^{2} + 20 \, b^{2} d^{3} x^{3} - a^{2} d^{4} + 12 \, a b d^{3} x - 60 \, b^{2} d^{2} x^{2} - 12 \, a b d^{2} + 120 \, b^{2} d x - 120 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{6}} - \frac{{\left(b^{2} d^{5} x^{5} + 2 \, a b d^{5} x^{3} + 5 \, b^{2} d^{4} x^{4} + a^{2} d^{5} x + 6 \, a b d^{4} x^{2} + 20 \, b^{2} d^{3} x^{3} + a^{2} d^{4} + 12 \, a b d^{3} x + 60 \, b^{2} d^{2} x^{2} + 12 \, a b d^{2} + 120 \, b^{2} d x + 120 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{6}}"," ",0,"1/2*(b^2*d^5*x^5 + 2*a*b*d^5*x^3 - 5*b^2*d^4*x^4 + a^2*d^5*x - 6*a*b*d^4*x^2 + 20*b^2*d^3*x^3 - a^2*d^4 + 12*a*b*d^3*x - 60*b^2*d^2*x^2 - 12*a*b*d^2 + 120*b^2*d*x - 120*b^2)*e^(d*x + c)/d^6 - 1/2*(b^2*d^5*x^5 + 2*a*b*d^5*x^3 + 5*b^2*d^4*x^4 + a^2*d^5*x + 6*a*b*d^4*x^2 + 20*b^2*d^3*x^3 + a^2*d^4 + 12*a*b*d^3*x + 60*b^2*d^2*x^2 + 12*a*b*d^2 + 120*b^2*d*x + 120*b^2)*e^(-d*x - c)/d^6","A",0
51,1,180,0,0.137317," ","integrate((b*x^2+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{4} x^{4} + 2 \, a b d^{4} x^{2} - 4 \, b^{2} d^{3} x^{3} + a^{2} d^{4} - 4 \, a b d^{3} x + 12 \, b^{2} d^{2} x^{2} + 4 \, a b d^{2} - 24 \, b^{2} d x + 24 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{5}} - \frac{{\left(b^{2} d^{4} x^{4} + 2 \, a b d^{4} x^{2} + 4 \, b^{2} d^{3} x^{3} + a^{2} d^{4} + 4 \, a b d^{3} x + 12 \, b^{2} d^{2} x^{2} + 4 \, a b d^{2} + 24 \, b^{2} d x + 24 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{5}}"," ",0,"1/2*(b^2*d^4*x^4 + 2*a*b*d^4*x^2 - 4*b^2*d^3*x^3 + a^2*d^4 - 4*a*b*d^3*x + 12*b^2*d^2*x^2 + 4*a*b*d^2 - 24*b^2*d*x + 24*b^2)*e^(d*x + c)/d^5 - 1/2*(b^2*d^4*x^4 + 2*a*b*d^4*x^2 + 4*b^2*d^3*x^3 + a^2*d^4 + 4*a*b*d^3*x + 12*b^2*d^2*x^2 + 4*a*b*d^2 + 24*b^2*d*x + 24*b^2)*e^(-d*x - c)/d^5","A",0
52,1,222,0,0.126803," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x,x, algorithm=""giac"")","\frac{b^{2} d^{3} x^{3} e^{\left(d x + c\right)} - b^{2} d^{3} x^{3} e^{\left(-d x - c\right)} + a^{2} d^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{4} {\rm Ei}\left(d x\right) e^{c} + 2 \, a b d^{3} x e^{\left(d x + c\right)} - 3 \, b^{2} d^{2} x^{2} e^{\left(d x + c\right)} - 2 \, a b d^{3} x e^{\left(-d x - c\right)} - 3 \, b^{2} d^{2} x^{2} e^{\left(-d x - c\right)} - 2 \, a b d^{2} e^{\left(d x + c\right)} + 6 \, b^{2} d x e^{\left(d x + c\right)} - 2 \, a b d^{2} e^{\left(-d x - c\right)} - 6 \, b^{2} d x e^{\left(-d x - c\right)} - 6 \, b^{2} e^{\left(d x + c\right)} - 6 \, b^{2} e^{\left(-d x - c\right)}}{2 \, d^{4}}"," ",0,"1/2*(b^2*d^3*x^3*e^(d*x + c) - b^2*d^3*x^3*e^(-d*x - c) + a^2*d^4*Ei(-d*x)*e^(-c) + a^2*d^4*Ei(d*x)*e^c + 2*a*b*d^3*x*e^(d*x + c) - 3*b^2*d^2*x^2*e^(d*x + c) - 2*a*b*d^3*x*e^(-d*x - c) - 3*b^2*d^2*x^2*e^(-d*x - c) - 2*a*b*d^2*e^(d*x + c) + 6*b^2*d*x*e^(d*x + c) - 2*a*b*d^2*e^(-d*x - c) - 6*b^2*d*x*e^(-d*x - c) - 6*b^2*e^(d*x + c) - 6*b^2*e^(-d*x - c))/d^4","B",0
53,1,197,0,0.125036," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^2,x, algorithm=""giac"")","-\frac{a^{2} d^{4} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{2} d^{4} x {\rm Ei}\left(d x\right) e^{c} - b^{2} d^{2} x^{3} e^{\left(d x + c\right)} + b^{2} d^{2} x^{3} e^{\left(-d x - c\right)} + a^{2} d^{3} e^{\left(d x + c\right)} - 2 \, a b d^{2} x e^{\left(d x + c\right)} + 2 \, b^{2} d x^{2} e^{\left(d x + c\right)} + a^{2} d^{3} e^{\left(-d x - c\right)} + 2 \, a b d^{2} x e^{\left(-d x - c\right)} + 2 \, b^{2} d x^{2} e^{\left(-d x - c\right)} - 2 \, b^{2} x e^{\left(d x + c\right)} + 2 \, b^{2} x e^{\left(-d x - c\right)}}{2 \, d^{3} x}"," ",0,"-1/2*(a^2*d^4*x*Ei(-d*x)*e^(-c) - a^2*d^4*x*Ei(d*x)*e^c - b^2*d^2*x^3*e^(d*x + c) + b^2*d^2*x^3*e^(-d*x - c) + a^2*d^3*e^(d*x + c) - 2*a*b*d^2*x*e^(d*x + c) + 2*b^2*d*x^2*e^(d*x + c) + a^2*d^3*e^(-d*x - c) + 2*a*b*d^2*x*e^(-d*x - c) + 2*b^2*d*x^2*e^(-d*x - c) - 2*b^2*x*e^(d*x + c) + 2*b^2*x*e^(-d*x - c))/(d^3*x)","B",0
54,1,206,0,0.127117," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^3,x, algorithm=""giac"")","\frac{a^{2} d^{4} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{4} x^{2} {\rm Ei}\left(d x\right) e^{c} + 4 \, a b d^{2} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 4 \, a b d^{2} x^{2} {\rm Ei}\left(d x\right) e^{c} - a^{2} d^{3} x e^{\left(d x + c\right)} + 2 \, b^{2} d x^{3} e^{\left(d x + c\right)} + a^{2} d^{3} x e^{\left(-d x - c\right)} - 2 \, b^{2} d x^{3} e^{\left(-d x - c\right)} - a^{2} d^{2} e^{\left(d x + c\right)} - 2 \, b^{2} x^{2} e^{\left(d x + c\right)} - a^{2} d^{2} e^{\left(-d x - c\right)} - 2 \, b^{2} x^{2} e^{\left(-d x - c\right)}}{4 \, d^{2} x^{2}}"," ",0,"1/4*(a^2*d^4*x^2*Ei(-d*x)*e^(-c) + a^2*d^4*x^2*Ei(d*x)*e^c + 4*a*b*d^2*x^2*Ei(-d*x)*e^(-c) + 4*a*b*d^2*x^2*Ei(d*x)*e^c - a^2*d^3*x*e^(d*x + c) + 2*b^2*d*x^3*e^(d*x + c) + a^2*d^3*x*e^(-d*x - c) - 2*b^2*d*x^3*e^(-d*x - c) - a^2*d^2*e^(d*x + c) - 2*b^2*x^2*e^(d*x + c) - a^2*d^2*e^(-d*x - c) - 2*b^2*x^2*e^(-d*x - c))/(d^2*x^2)","A",0
55,1,236,0,0.123545," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^4,x, algorithm=""giac"")","-\frac{a^{2} d^{4} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{2} d^{4} x^{3} {\rm Ei}\left(d x\right) e^{c} + 12 \, a b d^{2} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 12 \, a b d^{2} x^{3} {\rm Ei}\left(d x\right) e^{c} + a^{2} d^{3} x^{2} e^{\left(d x + c\right)} + a^{2} d^{3} x^{2} e^{\left(-d x - c\right)} + a^{2} d^{2} x e^{\left(d x + c\right)} + 12 \, a b d x^{2} e^{\left(d x + c\right)} - 6 \, b^{2} x^{3} e^{\left(d x + c\right)} - a^{2} d^{2} x e^{\left(-d x - c\right)} + 12 \, a b d x^{2} e^{\left(-d x - c\right)} + 6 \, b^{2} x^{3} e^{\left(-d x - c\right)} + 2 \, a^{2} d e^{\left(d x + c\right)} + 2 \, a^{2} d e^{\left(-d x - c\right)}}{12 \, d x^{3}}"," ",0,"-1/12*(a^2*d^4*x^3*Ei(-d*x)*e^(-c) - a^2*d^4*x^3*Ei(d*x)*e^c + 12*a*b*d^2*x^3*Ei(-d*x)*e^(-c) - 12*a*b*d^2*x^3*Ei(d*x)*e^c + a^2*d^3*x^2*e^(d*x + c) + a^2*d^3*x^2*e^(-d*x - c) + a^2*d^2*x*e^(d*x + c) + 12*a*b*d*x^2*e^(d*x + c) - 6*b^2*x^3*e^(d*x + c) - a^2*d^2*x*e^(-d*x - c) + 12*a*b*d*x^2*e^(-d*x - c) + 6*b^2*x^3*e^(-d*x - c) + 2*a^2*d*e^(d*x + c) + 2*a^2*d*e^(-d*x - c))/(d*x^3)","A",0
56,1,294,0,0.142220," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^5,x, algorithm=""giac"")","\frac{a^{2} d^{4} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{4} x^{4} {\rm Ei}\left(d x\right) e^{c} + 24 \, a b d^{2} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 24 \, a b d^{2} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{2} d^{3} x^{3} e^{\left(d x + c\right)} + a^{2} d^{3} x^{3} e^{\left(-d x - c\right)} + 24 \, b^{2} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 24 \, b^{2} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{2} d^{2} x^{2} e^{\left(d x + c\right)} - 24 \, a b d x^{3} e^{\left(d x + c\right)} - a^{2} d^{2} x^{2} e^{\left(-d x - c\right)} + 24 \, a b d x^{3} e^{\left(-d x - c\right)} - 2 \, a^{2} d x e^{\left(d x + c\right)} - 24 \, a b x^{2} e^{\left(d x + c\right)} + 2 \, a^{2} d x e^{\left(-d x - c\right)} - 24 \, a b x^{2} e^{\left(-d x - c\right)} - 6 \, a^{2} e^{\left(d x + c\right)} - 6 \, a^{2} e^{\left(-d x - c\right)}}{48 \, x^{4}}"," ",0,"1/48*(a^2*d^4*x^4*Ei(-d*x)*e^(-c) + a^2*d^4*x^4*Ei(d*x)*e^c + 24*a*b*d^2*x^4*Ei(-d*x)*e^(-c) + 24*a*b*d^2*x^4*Ei(d*x)*e^c - a^2*d^3*x^3*e^(d*x + c) + a^2*d^3*x^3*e^(-d*x - c) + 24*b^2*x^4*Ei(-d*x)*e^(-c) + 24*b^2*x^4*Ei(d*x)*e^c - a^2*d^2*x^2*e^(d*x + c) - 24*a*b*d*x^3*e^(d*x + c) - a^2*d^2*x^2*e^(-d*x - c) + 24*a*b*d*x^3*e^(-d*x - c) - 2*a^2*d*x*e^(d*x + c) - 24*a*b*x^2*e^(d*x + c) + 2*a^2*d*x*e^(-d*x - c) - 24*a*b*x^2*e^(-d*x - c) - 6*a^2*e^(d*x + c) - 6*a^2*e^(-d*x - c))/x^4","A",0
57,0,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{x^{4} \cosh\left(d x + c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(x^4*cosh(d*x + c)/(b*x^2 + a), x)","F",0
58,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{x^{3} \cosh\left(d x + c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(x^3*cosh(d*x + c)/(b*x^2 + a), x)","F",0
59,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{x^{2} \cosh\left(d x + c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(x^2*cosh(d*x + c)/(b*x^2 + a), x)","F",0
60,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{x \cosh\left(d x + c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(x*cosh(d*x + c)/(b*x^2 + a), x)","F",0
61,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*x^2 + a), x)","F",0
62,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)} x}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)*x), x)","F",0
63,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)*x^2), x)","F",0
64,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^3/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)*x^3), x)","F",0
65,0,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
66,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{x^{3} \cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^3*cosh(d*x + c)/(b*x^2 + a)^2, x)","F",0
67,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{x^{2} \cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2*cosh(d*x + c)/(b*x^2 + a)^2, x)","F",0
68,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{x \cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x*cosh(d*x + c)/(b*x^2 + a)^2, x)","F",0
69,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*x^2 + a)^2, x)","F",0
70,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x^2+a)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
71,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)^2*x^2), x)","F",0
72,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{x^{3} \cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^3*cosh(d*x + c)/(b*x^2 + a)^3, x)","F",0
73,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{x^{2} \cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^2*cosh(d*x + c)/(b*x^2 + a)^3, x)","F",0
74,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{x \cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x*cosh(d*x + c)/(b*x^2 + a)^3, x)","F",0
75,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*x^2 + a)^3, x)","F",0
76,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3} x}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)^3*x), x)","F",0
77,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)^3*x^2), x)","F",0
78,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^3/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)^3*x^3), x)","F",0
79,1,192,0,0.118748," ","integrate(x^3*(b*x^3+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{6} x^{6} - 6 \, b d^{5} x^{5} + a d^{6} x^{3} + 30 \, b d^{4} x^{4} - 3 \, a d^{5} x^{2} - 120 \, b d^{3} x^{3} + 6 \, a d^{4} x + 360 \, b d^{2} x^{2} - 6 \, a d^{3} - 720 \, b d x + 720 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{7}} - \frac{{\left(b d^{6} x^{6} + 6 \, b d^{5} x^{5} + a d^{6} x^{3} + 30 \, b d^{4} x^{4} + 3 \, a d^{5} x^{2} + 120 \, b d^{3} x^{3} + 6 \, a d^{4} x + 360 \, b d^{2} x^{2} + 6 \, a d^{3} + 720 \, b d x + 720 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{7}}"," ",0,"1/2*(b*d^6*x^6 - 6*b*d^5*x^5 + a*d^6*x^3 + 30*b*d^4*x^4 - 3*a*d^5*x^2 - 120*b*d^3*x^3 + 6*a*d^4*x + 360*b*d^2*x^2 - 6*a*d^3 - 720*b*d*x + 720*b)*e^(d*x + c)/d^7 - 1/2*(b*d^6*x^6 + 6*b*d^5*x^5 + a*d^6*x^3 + 30*b*d^4*x^4 + 3*a*d^5*x^2 + 120*b*d^3*x^3 + 6*a*d^4*x + 360*b*d^2*x^2 + 6*a*d^3 + 720*b*d*x + 720*b)*e^(-d*x - c)/d^7","A",0
80,1,156,0,0.124642," ","integrate(x^2*(b*x^3+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{5} x^{5} - 5 \, b d^{4} x^{4} + a d^{5} x^{2} + 20 \, b d^{3} x^{3} - 2 \, a d^{4} x - 60 \, b d^{2} x^{2} + 2 \, a d^{3} + 120 \, b d x - 120 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{6}} - \frac{{\left(b d^{5} x^{5} + 5 \, b d^{4} x^{4} + a d^{5} x^{2} + 20 \, b d^{3} x^{3} + 2 \, a d^{4} x + 60 \, b d^{2} x^{2} + 2 \, a d^{3} + 120 \, b d x + 120 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{6}}"," ",0,"1/2*(b*d^5*x^5 - 5*b*d^4*x^4 + a*d^5*x^2 + 20*b*d^3*x^3 - 2*a*d^4*x - 60*b*d^2*x^2 + 2*a*d^3 + 120*b*d*x - 120*b)*e^(d*x + c)/d^6 - 1/2*(b*d^5*x^5 + 5*b*d^4*x^4 + a*d^5*x^2 + 20*b*d^3*x^3 + 2*a*d^4*x + 60*b*d^2*x^2 + 2*a*d^3 + 120*b*d*x + 120*b)*e^(-d*x - c)/d^6","A",0
81,1,119,0,0.132194," ","integrate(x*(b*x^3+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{4} x^{4} - 4 \, b d^{3} x^{3} + a d^{4} x + 12 \, b d^{2} x^{2} - a d^{3} - 24 \, b d x + 24 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{5}} - \frac{{\left(b d^{4} x^{4} + 4 \, b d^{3} x^{3} + a d^{4} x + 12 \, b d^{2} x^{2} + a d^{3} + 24 \, b d x + 24 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{5}}"," ",0,"1/2*(b*d^4*x^4 - 4*b*d^3*x^3 + a*d^4*x + 12*b*d^2*x^2 - a*d^3 - 24*b*d*x + 24*b)*e^(d*x + c)/d^5 - 1/2*(b*d^4*x^4 + 4*b*d^3*x^3 + a*d^4*x + 12*b*d^2*x^2 + a*d^3 + 24*b*d*x + 24*b)*e^(-d*x - c)/d^5","A",0
82,1,88,0,0.123602," ","integrate((b*x^3+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b d^{3} x^{3} - 3 \, b d^{2} x^{2} + a d^{3} + 6 \, b d x - 6 \, b\right)} e^{\left(d x + c\right)}}{2 \, d^{4}} - \frac{{\left(b d^{3} x^{3} + 3 \, b d^{2} x^{2} + a d^{3} + 6 \, b d x + 6 \, b\right)} e^{\left(-d x - c\right)}}{2 \, d^{4}}"," ",0,"1/2*(b*d^3*x^3 - 3*b*d^2*x^2 + a*d^3 + 6*b*d*x - 6*b)*e^(d*x + c)/d^4 - 1/2*(b*d^3*x^3 + 3*b*d^2*x^2 + a*d^3 + 6*b*d*x + 6*b)*e^(-d*x - c)/d^4","A",0
83,1,109,0,0.145672," ","integrate((b*x^3+a)*cosh(d*x+c)/x,x, algorithm=""giac"")","\frac{b d^{2} x^{2} e^{\left(d x + c\right)} - b d^{2} x^{2} e^{\left(-d x - c\right)} + a d^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{3} {\rm Ei}\left(d x\right) e^{c} - 2 \, b d x e^{\left(d x + c\right)} - 2 \, b d x e^{\left(-d x - c\right)} + 2 \, b e^{\left(d x + c\right)} - 2 \, b e^{\left(-d x - c\right)}}{2 \, d^{3}}"," ",0,"1/2*(b*d^2*x^2*e^(d*x + c) - b*d^2*x^2*e^(-d*x - c) + a*d^3*Ei(-d*x)*e^(-c) + a*d^3*Ei(d*x)*e^c - 2*b*d*x*e^(d*x + c) - 2*b*d*x*e^(-d*x - c) + 2*b*e^(d*x + c) - 2*b*e^(-d*x - c))/d^3","A",0
84,1,111,0,0.139759," ","integrate((b*x^3+a)*cosh(d*x+c)/x^2,x, algorithm=""giac"")","-\frac{a d^{3} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d^{3} x {\rm Ei}\left(d x\right) e^{c} - b d x^{2} e^{\left(d x + c\right)} + b d x^{2} e^{\left(-d x - c\right)} + a d^{2} e^{\left(d x + c\right)} + a d^{2} e^{\left(-d x - c\right)} + b x e^{\left(d x + c\right)} + b x e^{\left(-d x - c\right)}}{2 \, d^{2} x}"," ",0,"-1/2*(a*d^3*x*Ei(-d*x)*e^(-c) - a*d^3*x*Ei(d*x)*e^c - b*d*x^2*e^(d*x + c) + b*d*x^2*e^(-d*x - c) + a*d^2*e^(d*x + c) + a*d^2*e^(-d*x - c) + b*x*e^(d*x + c) + b*x*e^(-d*x - c))/(d^2*x)","B",0
85,1,118,0,0.121267," ","integrate((b*x^3+a)*cosh(d*x+c)/x^3,x, algorithm=""giac"")","\frac{a d^{3} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a d^{3} x^{2} {\rm Ei}\left(d x\right) e^{c} - a d^{2} x e^{\left(d x + c\right)} + a d^{2} x e^{\left(-d x - c\right)} + 2 \, b x^{2} e^{\left(d x + c\right)} - 2 \, b x^{2} e^{\left(-d x - c\right)} - a d e^{\left(d x + c\right)} - a d e^{\left(-d x - c\right)}}{4 \, d x^{2}}"," ",0,"1/4*(a*d^3*x^2*Ei(-d*x)*e^(-c) + a*d^3*x^2*Ei(d*x)*e^c - a*d^2*x*e^(d*x + c) + a*d^2*x*e^(-d*x - c) + 2*b*x^2*e^(d*x + c) - 2*b*x^2*e^(-d*x - c) - a*d*e^(d*x + c) - a*d*e^(-d*x - c))/(d*x^2)","A",0
86,1,141,0,0.117391," ","integrate((b*x^3+a)*cosh(d*x+c)/x^4,x, algorithm=""giac"")","-\frac{a d^{3} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a d^{3} x^{3} {\rm Ei}\left(d x\right) e^{c} + a d^{2} x^{2} e^{\left(d x + c\right)} + a d^{2} x^{2} e^{\left(-d x - c\right)} - 6 \, b x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 6 \, b x^{3} {\rm Ei}\left(d x\right) e^{c} + a d x e^{\left(d x + c\right)} - a d x e^{\left(-d x - c\right)} + 2 \, a e^{\left(d x + c\right)} + 2 \, a e^{\left(-d x - c\right)}}{12 \, x^{3}}"," ",0,"-1/12*(a*d^3*x^3*Ei(-d*x)*e^(-c) - a*d^3*x^3*Ei(d*x)*e^c + a*d^2*x^2*e^(d*x + c) + a*d^2*x^2*e^(-d*x - c) - 6*b*x^3*Ei(-d*x)*e^(-c) - 6*b*x^3*Ei(d*x)*e^c + a*d*x*e^(d*x + c) - a*d*x*e^(-d*x - c) + 2*a*e^(d*x + c) + 2*a*e^(-d*x - c))/x^3","A",0
87,1,303,0,0.118382," ","integrate(x*(b*x^3+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{7} x^{7} - 7 \, b^{2} d^{6} x^{6} + 2 \, a b d^{7} x^{4} + 42 \, b^{2} d^{5} x^{5} - 8 \, a b d^{6} x^{3} + a^{2} d^{7} x - 210 \, b^{2} d^{4} x^{4} + 24 \, a b d^{5} x^{2} - a^{2} d^{6} + 840 \, b^{2} d^{3} x^{3} - 48 \, a b d^{4} x - 2520 \, b^{2} d^{2} x^{2} + 48 \, a b d^{3} + 5040 \, b^{2} d x - 5040 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{8}} - \frac{{\left(b^{2} d^{7} x^{7} + 7 \, b^{2} d^{6} x^{6} + 2 \, a b d^{7} x^{4} + 42 \, b^{2} d^{5} x^{5} + 8 \, a b d^{6} x^{3} + a^{2} d^{7} x + 210 \, b^{2} d^{4} x^{4} + 24 \, a b d^{5} x^{2} + a^{2} d^{6} + 840 \, b^{2} d^{3} x^{3} + 48 \, a b d^{4} x + 2520 \, b^{2} d^{2} x^{2} + 48 \, a b d^{3} + 5040 \, b^{2} d x + 5040 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{8}}"," ",0,"1/2*(b^2*d^7*x^7 - 7*b^2*d^6*x^6 + 2*a*b*d^7*x^4 + 42*b^2*d^5*x^5 - 8*a*b*d^6*x^3 + a^2*d^7*x - 210*b^2*d^4*x^4 + 24*a*b*d^5*x^2 - a^2*d^6 + 840*b^2*d^3*x^3 - 48*a*b*d^4*x - 2520*b^2*d^2*x^2 + 48*a*b*d^3 + 5040*b^2*d*x - 5040*b^2)*e^(d*x + c)/d^8 - 1/2*(b^2*d^7*x^7 + 7*b^2*d^6*x^6 + 2*a*b*d^7*x^4 + 42*b^2*d^5*x^5 + 8*a*b*d^6*x^3 + a^2*d^7*x + 210*b^2*d^4*x^4 + 24*a*b*d^5*x^2 + a^2*d^6 + 840*b^2*d^3*x^3 + 48*a*b*d^4*x + 2520*b^2*d^2*x^2 + 48*a*b*d^3 + 5040*b^2*d*x + 5040*b^2)*e^(-d*x - c)/d^8","A",0
88,1,244,0,0.135557," ","integrate((b*x^3+a)^2*cosh(d*x+c),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{6} x^{6} - 6 \, b^{2} d^{5} x^{5} + 2 \, a b d^{6} x^{3} + 30 \, b^{2} d^{4} x^{4} - 6 \, a b d^{5} x^{2} + a^{2} d^{6} - 120 \, b^{2} d^{3} x^{3} + 12 \, a b d^{4} x + 360 \, b^{2} d^{2} x^{2} - 12 \, a b d^{3} - 720 \, b^{2} d x + 720 \, b^{2}\right)} e^{\left(d x + c\right)}}{2 \, d^{7}} - \frac{{\left(b^{2} d^{6} x^{6} + 6 \, b^{2} d^{5} x^{5} + 2 \, a b d^{6} x^{3} + 30 \, b^{2} d^{4} x^{4} + 6 \, a b d^{5} x^{2} + a^{2} d^{6} + 120 \, b^{2} d^{3} x^{3} + 12 \, a b d^{4} x + 360 \, b^{2} d^{2} x^{2} + 12 \, a b d^{3} + 720 \, b^{2} d x + 720 \, b^{2}\right)} e^{\left(-d x - c\right)}}{2 \, d^{7}}"," ",0,"1/2*(b^2*d^6*x^6 - 6*b^2*d^5*x^5 + 2*a*b*d^6*x^3 + 30*b^2*d^4*x^4 - 6*a*b*d^5*x^2 + a^2*d^6 - 120*b^2*d^3*x^3 + 12*a*b*d^4*x + 360*b^2*d^2*x^2 - 12*a*b*d^3 - 720*b^2*d*x + 720*b^2)*e^(d*x + c)/d^7 - 1/2*(b^2*d^6*x^6 + 6*b^2*d^5*x^5 + 2*a*b*d^6*x^3 + 30*b^2*d^4*x^4 + 6*a*b*d^5*x^2 + a^2*d^6 + 120*b^2*d^3*x^3 + 12*a*b*d^4*x + 360*b^2*d^2*x^2 + 12*a*b*d^3 + 720*b^2*d*x + 720*b^2)*e^(-d*x - c)/d^7","A",0
89,1,331,0,0.151659," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x,x, algorithm=""giac"")","\frac{b^{2} d^{5} x^{5} e^{\left(d x + c\right)} - b^{2} d^{5} x^{5} e^{\left(-d x - c\right)} - 5 \, b^{2} d^{4} x^{4} e^{\left(d x + c\right)} - 5 \, b^{2} d^{4} x^{4} e^{\left(-d x - c\right)} + 2 \, a b d^{5} x^{2} e^{\left(d x + c\right)} - 2 \, a b d^{5} x^{2} e^{\left(-d x - c\right)} + a^{2} d^{6} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{6} {\rm Ei}\left(d x\right) e^{c} + 20 \, b^{2} d^{3} x^{3} e^{\left(d x + c\right)} - 20 \, b^{2} d^{3} x^{3} e^{\left(-d x - c\right)} - 4 \, a b d^{4} x e^{\left(d x + c\right)} - 4 \, a b d^{4} x e^{\left(-d x - c\right)} - 60 \, b^{2} d^{2} x^{2} e^{\left(d x + c\right)} - 60 \, b^{2} d^{2} x^{2} e^{\left(-d x - c\right)} + 4 \, a b d^{3} e^{\left(d x + c\right)} - 4 \, a b d^{3} e^{\left(-d x - c\right)} + 120 \, b^{2} d x e^{\left(d x + c\right)} - 120 \, b^{2} d x e^{\left(-d x - c\right)} - 120 \, b^{2} e^{\left(d x + c\right)} - 120 \, b^{2} e^{\left(-d x - c\right)}}{2 \, d^{6}}"," ",0,"1/2*(b^2*d^5*x^5*e^(d*x + c) - b^2*d^5*x^5*e^(-d*x - c) - 5*b^2*d^4*x^4*e^(d*x + c) - 5*b^2*d^4*x^4*e^(-d*x - c) + 2*a*b*d^5*x^2*e^(d*x + c) - 2*a*b*d^5*x^2*e^(-d*x - c) + a^2*d^6*Ei(-d*x)*e^(-c) + a^2*d^6*Ei(d*x)*e^c + 20*b^2*d^3*x^3*e^(d*x + c) - 20*b^2*d^3*x^3*e^(-d*x - c) - 4*a*b*d^4*x*e^(d*x + c) - 4*a*b*d^4*x*e^(-d*x - c) - 60*b^2*d^2*x^2*e^(d*x + c) - 60*b^2*d^2*x^2*e^(-d*x - c) + 4*a*b*d^3*e^(d*x + c) - 4*a*b*d^3*e^(-d*x - c) + 120*b^2*d*x*e^(d*x + c) - 120*b^2*d*x*e^(-d*x - c) - 120*b^2*e^(d*x + c) - 120*b^2*e^(-d*x - c))/d^6","B",0
90,1,308,0,0.124424," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^2,x, algorithm=""giac"")","\frac{b^{2} d^{4} x^{5} e^{\left(d x + c\right)} - b^{2} d^{4} x^{5} e^{\left(-d x - c\right)} - a^{2} d^{6} x {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{6} x {\rm Ei}\left(d x\right) e^{c} - 4 \, b^{2} d^{3} x^{4} e^{\left(d x + c\right)} - 4 \, b^{2} d^{3} x^{4} e^{\left(-d x - c\right)} + 2 \, a b d^{4} x^{2} e^{\left(d x + c\right)} - 2 \, a b d^{4} x^{2} e^{\left(-d x - c\right)} - a^{2} d^{5} e^{\left(d x + c\right)} + 12 \, b^{2} d^{2} x^{3} e^{\left(d x + c\right)} - a^{2} d^{5} e^{\left(-d x - c\right)} - 12 \, b^{2} d^{2} x^{3} e^{\left(-d x - c\right)} - 2 \, a b d^{3} x e^{\left(d x + c\right)} - 2 \, a b d^{3} x e^{\left(-d x - c\right)} - 24 \, b^{2} d x^{2} e^{\left(d x + c\right)} - 24 \, b^{2} d x^{2} e^{\left(-d x - c\right)} + 24 \, b^{2} x e^{\left(d x + c\right)} - 24 \, b^{2} x e^{\left(-d x - c\right)}}{2 \, d^{5} x}"," ",0,"1/2*(b^2*d^4*x^5*e^(d*x + c) - b^2*d^4*x^5*e^(-d*x - c) - a^2*d^6*x*Ei(-d*x)*e^(-c) + a^2*d^6*x*Ei(d*x)*e^c - 4*b^2*d^3*x^4*e^(d*x + c) - 4*b^2*d^3*x^4*e^(-d*x - c) + 2*a*b*d^4*x^2*e^(d*x + c) - 2*a*b*d^4*x^2*e^(-d*x - c) - a^2*d^5*e^(d*x + c) + 12*b^2*d^2*x^3*e^(d*x + c) - a^2*d^5*e^(-d*x - c) - 12*b^2*d^2*x^3*e^(-d*x - c) - 2*a*b*d^3*x*e^(d*x + c) - 2*a*b*d^3*x*e^(-d*x - c) - 24*b^2*d*x^2*e^(d*x + c) - 24*b^2*d*x^2*e^(-d*x - c) + 24*b^2*x*e^(d*x + c) - 24*b^2*x*e^(-d*x - c))/(d^5*x)","B",0
91,1,280,0,0.126690," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^3,x, algorithm=""giac"")","\frac{a^{2} d^{6} x^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{6} x^{2} {\rm Ei}\left(d x\right) e^{c} + 2 \, b^{2} d^{3} x^{5} e^{\left(d x + c\right)} - 2 \, b^{2} d^{3} x^{5} e^{\left(-d x - c\right)} - a^{2} d^{5} x e^{\left(d x + c\right)} - 6 \, b^{2} d^{2} x^{4} e^{\left(d x + c\right)} + a^{2} d^{5} x e^{\left(-d x - c\right)} - 6 \, b^{2} d^{2} x^{4} e^{\left(-d x - c\right)} + 4 \, a b d^{3} x^{2} e^{\left(d x + c\right)} - 4 \, a b d^{3} x^{2} e^{\left(-d x - c\right)} - a^{2} d^{4} e^{\left(d x + c\right)} + 12 \, b^{2} d x^{3} e^{\left(d x + c\right)} - a^{2} d^{4} e^{\left(-d x - c\right)} - 12 \, b^{2} d x^{3} e^{\left(-d x - c\right)} - 12 \, b^{2} x^{2} e^{\left(d x + c\right)} - 12 \, b^{2} x^{2} e^{\left(-d x - c\right)}}{4 \, d^{4} x^{2}}"," ",0,"1/4*(a^2*d^6*x^2*Ei(-d*x)*e^(-c) + a^2*d^6*x^2*Ei(d*x)*e^c + 2*b^2*d^3*x^5*e^(d*x + c) - 2*b^2*d^3*x^5*e^(-d*x - c) - a^2*d^5*x*e^(d*x + c) - 6*b^2*d^2*x^4*e^(d*x + c) + a^2*d^5*x*e^(-d*x - c) - 6*b^2*d^2*x^4*e^(-d*x - c) + 4*a*b*d^3*x^2*e^(d*x + c) - 4*a*b*d^3*x^2*e^(-d*x - c) - a^2*d^4*e^(d*x + c) + 12*b^2*d*x^3*e^(d*x + c) - a^2*d^4*e^(-d*x - c) - 12*b^2*d*x^3*e^(-d*x - c) - 12*b^2*x^2*e^(d*x + c) - 12*b^2*x^2*e^(-d*x - c))/(d^4*x^2)","B",0
92,1,279,0,0.128653," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^4,x, algorithm=""giac"")","-\frac{a^{2} d^{6} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a^{2} d^{6} x^{3} {\rm Ei}\left(d x\right) e^{c} + a^{2} d^{5} x^{2} e^{\left(d x + c\right)} - 6 \, b^{2} d^{2} x^{5} e^{\left(d x + c\right)} + a^{2} d^{5} x^{2} e^{\left(-d x - c\right)} + 6 \, b^{2} d^{2} x^{5} e^{\left(-d x - c\right)} - 12 \, a b d^{3} x^{3} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 12 \, a b d^{3} x^{3} {\rm Ei}\left(d x\right) e^{c} + a^{2} d^{4} x e^{\left(d x + c\right)} + 12 \, b^{2} d x^{4} e^{\left(d x + c\right)} - a^{2} d^{4} x e^{\left(-d x - c\right)} + 12 \, b^{2} d x^{4} e^{\left(-d x - c\right)} + 2 \, a^{2} d^{3} e^{\left(d x + c\right)} - 12 \, b^{2} x^{3} e^{\left(d x + c\right)} + 2 \, a^{2} d^{3} e^{\left(-d x - c\right)} + 12 \, b^{2} x^{3} e^{\left(-d x - c\right)}}{12 \, d^{3} x^{3}}"," ",0,"-1/12*(a^2*d^6*x^3*Ei(-d*x)*e^(-c) - a^2*d^6*x^3*Ei(d*x)*e^c + a^2*d^5*x^2*e^(d*x + c) - 6*b^2*d^2*x^5*e^(d*x + c) + a^2*d^5*x^2*e^(-d*x - c) + 6*b^2*d^2*x^5*e^(-d*x - c) - 12*a*b*d^3*x^3*Ei(-d*x)*e^(-c) - 12*a*b*d^3*x^3*Ei(d*x)*e^c + a^2*d^4*x*e^(d*x + c) + 12*b^2*d*x^4*e^(d*x + c) - a^2*d^4*x*e^(-d*x - c) + 12*b^2*d*x^4*e^(-d*x - c) + 2*a^2*d^3*e^(d*x + c) - 12*b^2*x^3*e^(d*x + c) + 2*a^2*d^3*e^(-d*x - c) + 12*b^2*x^3*e^(-d*x - c))/(d^3*x^3)","A",0
93,1,315,0,0.137846," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^5,x, algorithm=""giac"")","\frac{a^{2} d^{6} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + a^{2} d^{6} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{2} d^{5} x^{3} e^{\left(d x + c\right)} + a^{2} d^{5} x^{3} e^{\left(-d x - c\right)} - 48 \, a b d^{3} x^{4} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 48 \, a b d^{3} x^{4} {\rm Ei}\left(d x\right) e^{c} - a^{2} d^{4} x^{2} e^{\left(d x + c\right)} + 24 \, b^{2} d x^{5} e^{\left(d x + c\right)} - a^{2} d^{4} x^{2} e^{\left(-d x - c\right)} - 24 \, b^{2} d x^{5} e^{\left(-d x - c\right)} - 48 \, a b d^{2} x^{3} e^{\left(d x + c\right)} - 48 \, a b d^{2} x^{3} e^{\left(-d x - c\right)} - 2 \, a^{2} d^{3} x e^{\left(d x + c\right)} - 24 \, b^{2} x^{4} e^{\left(d x + c\right)} + 2 \, a^{2} d^{3} x e^{\left(-d x - c\right)} - 24 \, b^{2} x^{4} e^{\left(-d x - c\right)} - 6 \, a^{2} d^{2} e^{\left(d x + c\right)} - 6 \, a^{2} d^{2} e^{\left(-d x - c\right)}}{48 \, d^{2} x^{4}}"," ",0,"1/48*(a^2*d^6*x^4*Ei(-d*x)*e^(-c) + a^2*d^6*x^4*Ei(d*x)*e^c - a^2*d^5*x^3*e^(d*x + c) + a^2*d^5*x^3*e^(-d*x - c) - 48*a*b*d^3*x^4*Ei(-d*x)*e^(-c) + 48*a*b*d^3*x^4*Ei(d*x)*e^c - a^2*d^4*x^2*e^(d*x + c) + 24*b^2*d*x^5*e^(d*x + c) - a^2*d^4*x^2*e^(-d*x - c) - 24*b^2*d*x^5*e^(-d*x - c) - 48*a*b*d^2*x^3*e^(d*x + c) - 48*a*b*d^2*x^3*e^(-d*x - c) - 2*a^2*d^3*x*e^(d*x + c) - 24*b^2*x^4*e^(d*x + c) + 2*a^2*d^3*x*e^(-d*x - c) - 24*b^2*x^4*e^(-d*x - c) - 6*a^2*d^2*e^(d*x + c) - 6*a^2*d^2*e^(-d*x - c))/(d^2*x^4)","B",0
94,0,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{4} \cosh\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^4*cosh(d*x + c)/(b*x^3 + a), x)","F",0
95,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{3} \cosh\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^3*cosh(d*x + c)/(b*x^3 + a), x)","F",0
96,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{2} \cosh\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^2*cosh(d*x + c)/(b*x^3 + a), x)","F",0
97,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x \cosh\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x*cosh(d*x + c)/(b*x^3 + a), x)","F",0
98,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*x^3 + a), x)","F",0
99,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^3 + a)*x), x)","F",0
100,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^3 + a)*x^2), x)","F",0
101,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^3/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^3 + a)*x^3), x)","F",0
102,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""giac"")","\int \frac{x^{3} \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^3*cosh(d*x + c)/(b*x^3 + a)^2, x)","F",0
103,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""giac"")","\int \frac{x^{2} \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2*cosh(d*x + c)/(b*x^3 + a)^2, x)","F",0
104,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""giac"")","\int \frac{x \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x*cosh(d*x + c)/(b*x^3 + a)^2, x)","F",0
105,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""giac"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/(b*x^3 + a)^2, x)","F",0
106,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x^3+a)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
107,0,0,0,0.000000," ","integrate(x^5*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""giac"")","\int \frac{x^{5} \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^5*cosh(d*x + c)/(b*x^3 + a)^3, x)","F",0
108,0,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""giac"")","\int \frac{x^{4} \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^4*cosh(d*x + c)/(b*x^3 + a)^3, x)","F",0
109,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""giac"")","\int \frac{x^{3} \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^3*cosh(d*x + c)/(b*x^3 + a)^3, x)","F",0
110,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""giac"")","\int \frac{x^{2} \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^2*cosh(d*x + c)/(b*x^3 + a)^3, x)","F",0
111,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""giac"")","\int \frac{x \cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x*cosh(d*x + c)/(b*x^3 + a)^3, x)","F",0
