1,1,232,0,0.368847," ","integrate(x^3*(b*x+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{40} \, d {\left(\frac{5 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{5}} + \frac{5 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} a e^{\left(-d x - c\right)}}{d^{5}} + \frac{4 \, {\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{6}} + \frac{4 \, {\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} b e^{\left(-d x - c\right)}}{d^{6}}\right)} + \frac{1}{20} \, {\left(4 \, b x^{5} + 5 \, a x^{4}\right)} \cosh\left(d x + c\right)"," ",0,"-1/40*d*(5*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*a*e^(d*x)/d^5 + 5*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*a*e^(-d*x - c)/d^5 + 4*(d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*b*e^(d*x)/d^6 + 4*(d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*b*e^(-d*x - c)/d^6) + 1/20*(4*b*x^5 + 5*a*x^4)*cosh(d*x + c)","A",0
2,1,196,0,0.409455," ","integrate(x^2*(b*x+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{24} \, d {\left(\frac{4 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{4}} + \frac{4 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a e^{\left(-d x - c\right)}}{d^{4}} + \frac{3 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{5}} + \frac{3 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} b e^{\left(-d x - c\right)}}{d^{5}}\right)} + \frac{1}{12} \, {\left(3 \, b x^{4} + 4 \, a x^{3}\right)} \cosh\left(d x + c\right)"," ",0,"-1/24*d*(4*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a*e^(d*x)/d^4 + 4*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a*e^(-d*x - c)/d^4 + 3*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*b*e^(d*x)/d^5 + 3*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*b*e^(-d*x - c)/d^5) + 1/12*(3*b*x^4 + 4*a*x^3)*cosh(d*x + c)","B",0
3,1,160,0,0.394580," ","integrate(x*(b*x+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{12} \, d {\left(\frac{3 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{3}} + \frac{3 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a e^{\left(-d x - c\right)}}{d^{3}} + \frac{2 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{4}} + \frac{2 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} b e^{\left(-d x - c\right)}}{d^{4}}\right)} + \frac{1}{6} \, {\left(2 \, b x^{3} + 3 \, a x^{2}\right)} \cosh\left(d x + c\right)"," ",0,"-1/12*d*(3*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a*e^(d*x)/d^3 + 3*(d^2*x^2 + 2*d*x + 2)*a*e^(-d*x - c)/d^3 + 2*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*b*e^(d*x)/d^4 + 2*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*b*e^(-d*x - c)/d^4) + 1/6*(2*b*x^3 + 3*a*x^2)*cosh(d*x + c)","B",0
4,1,68,0,0.316363," ","integrate((b*x+a)*cosh(d*x+c),x, algorithm=""maxima"")","\frac{a e^{\left(d x + c\right)}}{2 \, d} + \frac{{\left(d x e^{c} - e^{c}\right)} b e^{\left(d x\right)}}{2 \, d^{2}} - \frac{{\left(d x + 1\right)} b e^{\left(-d x - c\right)}}{2 \, d^{2}} - \frac{a e^{\left(-d x - c\right)}}{2 \, d}"," ",0,"1/2*a*e^(d*x + c)/d + 1/2*(d*x*e^c - e^c)*b*e^(d*x)/d^2 - 1/2*(d*x + 1)*b*e^(-d*x - c)/d^2 - 1/2*a*e^(-d*x - c)/d","B",0
5,1,97,0,0.531740," ","integrate((b*x+a)*cosh(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)} + \frac{2 \, a \cosh\left(d x + c\right) \log\left(x\right)}{d} - \frac{{\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a}{d}\right)} d + {\left(b x + a \log\left(x\right)\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*(b*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2) + 2*a*cosh(d*x + c)*log(x)/d - (Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a/d)*d + (b*x + a*log(x))*cosh(d*x + c)","B",0
6,1,82,0,0.410083," ","integrate((b*x+a)*cosh(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left({\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} - {\rm Ei}\left(d x\right) e^{c}\right)} a + \frac{2 \, b \cosh\left(d x + c\right) \log\left(x\right)}{d} - \frac{{\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b}{d}\right)} d + {\left(b \log\left(x\right) - \frac{a}{x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*((Ei(-d*x)*e^(-c) - Ei(d*x)*e^c)*a + 2*b*cosh(d*x + c)*log(x)/d - (Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b/d)*d + (b*log(x) - a/x)*cosh(d*x + c)","A",0
7,1,66,0,0.429431," ","integrate((b*x+a)*cosh(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(a d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + a d e^{c} \Gamma\left(-1, -d x\right) - 2 \, b {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 2 \, b {\rm Ei}\left(d x\right) e^{c}\right)} d - \frac{{\left(2 \, b x + a\right)} \cosh\left(d x + c\right)}{2 \, x^{2}}"," ",0,"1/4*(a*d*e^(-c)*gamma(-1, d*x) + a*d*e^c*gamma(-1, -d*x) - 2*b*Ei(-d*x)*e^(-c) + 2*b*Ei(d*x)*e^c)*d - 1/2*(2*b*x + a)*cosh(d*x + c)/x^2","A",0
8,1,78,0,0.413579," ","integrate((b*x+a)*cosh(d*x+c)/x^4,x, algorithm=""maxima"")","\frac{1}{12} \, {\left(2 \, a d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - 2 \, a d^{2} e^{c} \Gamma\left(-2, -d x\right) + 3 \, b d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + 3 \, b d e^{c} \Gamma\left(-1, -d x\right)\right)} d - \frac{{\left(3 \, b x + 2 \, a\right)} \cosh\left(d x + c\right)}{6 \, x^{3}}"," ",0,"1/12*(2*a*d^2*e^(-c)*gamma(-2, d*x) - 2*a*d^2*e^c*gamma(-2, -d*x) + 3*b*d*e^(-c)*gamma(-1, d*x) + 3*b*d*e^c*gamma(-1, -d*x))*d - 1/6*(3*b*x + 2*a)*cosh(d*x + c)/x^3","A",0
9,1,82,0,0.408495," ","integrate((b*x+a)*cosh(d*x+c)/x^5,x, algorithm=""maxima"")","\frac{1}{24} \, {\left(3 \, a d^{3} e^{\left(-c\right)} \Gamma\left(-3, d x\right) + 3 \, a d^{3} e^{c} \Gamma\left(-3, -d x\right) + 4 \, b d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - 4 \, b d^{2} e^{c} \Gamma\left(-2, -d x\right)\right)} d - \frac{{\left(4 \, b x + 3 \, a\right)} \cosh\left(d x + c\right)}{12 \, x^{4}}"," ",0,"1/24*(3*a*d^3*e^(-c)*gamma(-3, d*x) + 3*a*d^3*e^c*gamma(-3, -d*x) + 4*b*d^2*e^(-c)*gamma(-2, d*x) - 4*b*d^2*e^c*gamma(-2, -d*x))*d - 1/12*(4*b*x + 3*a)*cosh(d*x + c)/x^4","A",0
10,1,329,0,0.338568," ","integrate(x^2*(b*x+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{60} \, d {\left(\frac{10 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a^{2} e^{\left(d x\right)}}{d^{4}} + \frac{10 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a^{2} e^{\left(-d x - c\right)}}{d^{4}} + \frac{15 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{5}} + \frac{15 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} a b e^{\left(-d x - c\right)}}{d^{5}} + \frac{6 \, {\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{6}} + \frac{6 \, {\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} b^{2} e^{\left(-d x - c\right)}}{d^{6}}\right)} + \frac{1}{30} \, {\left(6 \, b^{2} x^{5} + 15 \, a b x^{4} + 10 \, a^{2} x^{3}\right)} \cosh\left(d x + c\right)"," ",0,"-1/60*d*(10*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a^2*e^(d*x)/d^4 + 10*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a^2*e^(-d*x - c)/d^4 + 15*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*a*b*e^(d*x)/d^5 + 15*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*a*b*e^(-d*x - c)/d^5 + 6*(d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*b^2*e^(d*x)/d^6 + 6*(d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*b^2*e^(-d*x - c)/d^6) + 1/30*(6*b^2*x^5 + 15*a*b*x^4 + 10*a^2*x^3)*cosh(d*x + c)","A",0
11,1,275,0,0.333489," ","integrate(x*(b*x+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{24} \, d {\left(\frac{6 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a^{2} e^{\left(d x\right)}}{d^{3}} + \frac{6 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a^{2} e^{\left(-d x - c\right)}}{d^{3}} + \frac{8 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{4}} + \frac{8 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a b e^{\left(-d x - c\right)}}{d^{4}} + \frac{3 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{5}} + \frac{3 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} b^{2} e^{\left(-d x - c\right)}}{d^{5}}\right)} + \frac{1}{12} \, {\left(3 \, b^{2} x^{4} + 8 \, a b x^{3} + 6 \, a^{2} x^{2}\right)} \cosh\left(d x + c\right)"," ",0,"-1/24*d*(6*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a^2*e^(d*x)/d^3 + 6*(d^2*x^2 + 2*d*x + 2)*a^2*e^(-d*x - c)/d^3 + 8*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a*b*e^(d*x)/d^4 + 8*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a*b*e^(-d*x - c)/d^4 + 3*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*b^2*e^(d*x)/d^5 + 3*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*b^2*e^(-d*x - c)/d^5) + 1/12*(3*b^2*x^4 + 8*a*b*x^3 + 6*a^2*x^2)*cosh(d*x + c)","B",0
12,1,135,0,0.338694," ","integrate((b*x+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} e^{\left(d x + c\right)}}{2 \, d} + \frac{{\left(d x e^{c} - e^{c}\right)} a b e^{\left(d x\right)}}{d^{2}} - \frac{{\left(d x + 1\right)} a b e^{\left(-d x - c\right)}}{d^{2}} - \frac{a^{2} e^{\left(-d x - c\right)}}{2 \, d} + \frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{2 \, d^{3}} - \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} b^{2} e^{\left(-d x - c\right)}}{2 \, d^{3}}"," ",0,"1/2*a^2*e^(d*x + c)/d + (d*x*e^c - e^c)*a*b*e^(d*x)/d^2 - (d*x + 1)*a*b*e^(-d*x - c)/d^2 - 1/2*a^2*e^(-d*x - c)/d + 1/2*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*b^2*e^(d*x)/d^3 - 1/2*(d^2*x^2 + 2*d*x + 2)*b^2*e^(-d*x - c)/d^3","B",0
13,1,175,0,0.399734," ","integrate((b*x+a)^2*cosh(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(4 \, a b {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)} + b^{2} {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)} + \frac{4 \, a^{2} \cosh\left(d x + c\right) \log\left(x\right)}{d} - \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a^{2}}{d}\right)} d + \frac{1}{2} \, {\left(b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} \log\left(x\right)\right)} \cosh\left(d x + c\right)"," ",0,"-1/4*(4*a*b*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2) + b^2*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3) + 4*a^2*cosh(d*x + c)*log(x)/d - 2*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a^2/d)*d + 1/2*(b^2*x^2 + 4*a*b*x + 2*a^2*log(x))*cosh(d*x + c)","B",0
14,1,136,0,0.417102," ","integrate((b*x+a)^2*cosh(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left({\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} - {\rm Ei}\left(d x\right) e^{c}\right)} a^{2} + b^{2} {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)} + \frac{4 \, a b \cosh\left(d x + c\right) \log\left(x\right)}{d} - \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a b}{d}\right)} d + {\left(b^{2} x + 2 \, a b \log\left(x\right) - \frac{a^{2}}{x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*((Ei(-d*x)*e^(-c) - Ei(d*x)*e^c)*a^2 + b^2*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2) + 4*a*b*cosh(d*x + c)*log(x)/d - 2*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a*b/d)*d + (b^2*x + 2*a*b*log(x) - a^2/x)*cosh(d*x + c)","A",0
15,1,126,0,0.441919," ","integrate((b*x+a)^2*cosh(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left({\left(d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + d e^{c} \Gamma\left(-1, -d x\right)\right)} a^{2} - 4 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} - {\rm Ei}\left(d x\right) e^{c}\right)} a b - \frac{4 \, b^{2} \cosh\left(d x + c\right) \log\left(x\right)}{d} + \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b^{2}}{d}\right)} d + \frac{1}{2} \, {\left(2 \, b^{2} \log\left(x\right) - \frac{4 \, a b x + a^{2}}{x^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/4*((d*e^(-c)*gamma(-1, d*x) + d*e^c*gamma(-1, -d*x))*a^2 - 4*(Ei(-d*x)*e^(-c) - Ei(d*x)*e^c)*a*b - 4*b^2*cosh(d*x + c)*log(x)/d + 2*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b^2/d)*d + 1/2*(2*b^2*log(x) - (4*a*b*x + a^2)/x^2)*cosh(d*x + c)","A",0
16,1,117,0,0.437862," ","integrate((b*x+a)^2*cosh(d*x+c)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(a^{2} d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - a^{2} d^{2} e^{c} \Gamma\left(-2, -d x\right) + 3 \, a b d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + 3 \, a b d e^{c} \Gamma\left(-1, -d x\right) - 3 \, b^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 3 \, b^{2} {\rm Ei}\left(d x\right) e^{c}\right)} d - \frac{{\left(3 \, b^{2} x^{2} + 3 \, a b x + a^{2}\right)} \cosh\left(d x + c\right)}{3 \, x^{3}}"," ",0,"1/6*(a^2*d^2*e^(-c)*gamma(-2, d*x) - a^2*d^2*e^c*gamma(-2, -d*x) + 3*a*b*d*e^(-c)*gamma(-1, d*x) + 3*a*b*d*e^c*gamma(-1, -d*x) - 3*b^2*Ei(-d*x)*e^(-c) + 3*b^2*Ei(d*x)*e^c)*d - 1/3*(3*b^2*x^2 + 3*a*b*x + a^2)*cosh(d*x + c)/x^3","A",0
17,1,128,0,0.437502," ","integrate((b*x+a)^2*cosh(d*x+c)/x^5,x, algorithm=""maxima"")","\frac{1}{24} \, {\left(3 \, a^{2} d^{3} e^{\left(-c\right)} \Gamma\left(-3, d x\right) + 3 \, a^{2} d^{3} e^{c} \Gamma\left(-3, -d x\right) + 8 \, a b d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - 8 \, a b d^{2} e^{c} \Gamma\left(-2, -d x\right) + 6 \, b^{2} d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + 6 \, b^{2} d e^{c} \Gamma\left(-1, -d x\right)\right)} d - \frac{{\left(6 \, b^{2} x^{2} + 8 \, a b x + 3 \, a^{2}\right)} \cosh\left(d x + c\right)}{12 \, x^{4}}"," ",0,"1/24*(3*a^2*d^3*e^(-c)*gamma(-3, d*x) + 3*a^2*d^3*e^c*gamma(-3, -d*x) + 8*a*b*d^2*e^(-c)*gamma(-2, d*x) - 8*a*b*d^2*e^c*gamma(-2, -d*x) + 6*b^2*d*e^(-c)*gamma(-1, d*x) + 6*b^2*d*e^c*gamma(-1, -d*x))*d - 1/12*(6*b^2*x^2 + 8*a*b*x + 3*a^2)*cosh(d*x + c)/x^4","A",0
18,1,437,0,0.405271," ","integrate(x^4*cosh(d*x+c)/(b*x+a),x, algorithm=""maxima"")","-\frac{1}{24} \, d {\left(\frac{12 \, a^{4} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b^{4} d} - \frac{12 \, a^{3} {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)}}{b^{4}} + \frac{6 \, a^{2} {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)}}{b^{3}} - \frac{4 \, a {\left(\frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} e^{\left(-d x - c\right)}}{d^{4}}\right)}}{b^{2}} + \frac{3 \, {\left(\frac{{\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} e^{\left(d x\right)}}{d^{5}} + \frac{{\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} e^{\left(-d x - c\right)}}{d^{5}}\right)}}{b} + \frac{24 \, a^{4} \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{5} d}\right)} + \frac{1}{12} \, {\left(\frac{12 \, a^{4} \log\left(b x + a\right)}{b^{5}} + \frac{3 \, b^{3} x^{4} - 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} - 12 \, a^{3} x}{b^{4}}\right)} \cosh\left(d x + c\right)"," ",0,"-1/24*d*(12*a^4*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b^4*d) - 12*a^3*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b^4 + 6*a^2*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3)/b^3 - 4*a*((d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*e^(-d*x - c)/d^4)/b^2 + 3*((d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*e^(d*x)/d^5 + (d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*e^(-d*x - c)/d^5)/b + 24*a^4*cosh(d*x + c)*log(b*x + a)/(b^5*d)) + 1/12*(12*a^4*log(b*x + a)/b^5 + (3*b^3*x^4 - 4*a*b^2*x^3 + 6*a^2*b*x^2 - 12*a^3*x)/b^4)*cosh(d*x + c)","A",0
19,1,328,0,0.412665," ","integrate(x^3*cosh(d*x+c)/(b*x+a),x, algorithm=""maxima"")","\frac{1}{12} \, d {\left(\frac{6 \, a^{3} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b^{3} d} - \frac{6 \, a^{2} {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)}}{b^{3}} + \frac{3 \, a {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)}}{b^{2}} - \frac{2 \, {\left(\frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} e^{\left(-d x - c\right)}}{d^{4}}\right)}}{b} + \frac{12 \, a^{3} \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{4} d}\right)} - \frac{1}{6} \, {\left(\frac{6 \, a^{3} \log\left(b x + a\right)}{b^{4}} - \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{b^{3}}\right)} \cosh\left(d x + c\right)"," ",0,"1/12*d*(6*a^3*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b^3*d) - 6*a^2*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b^3 + 3*a*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3)/b^2 - 2*((d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*e^(-d*x - c)/d^4)/b + 12*a^3*cosh(d*x + c)*log(b*x + a)/(b^4*d)) - 1/6*(6*a^3*log(b*x + a)/b^4 - (2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3)*cosh(d*x + c)","B",0
20,1,233,0,0.392020," ","integrate(x^2*cosh(d*x+c)/(b*x+a),x, algorithm=""maxima"")","-\frac{1}{4} \, d {\left(\frac{2 \, a^{2} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b^{2} d} - \frac{2 \, a {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)}}{b^{2}} + \frac{\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}}{b} + \frac{4 \, a^{2} \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{3} d}\right)} + \frac{1}{2} \, {\left(\frac{2 \, a^{2} \log\left(b x + a\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{b^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"-1/4*d*(2*a^2*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b^2*d) - 2*a*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b^2 + ((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3)/b + 4*a^2*cosh(d*x + c)*log(b*x + a)/(b^3*d)) + 1/2*(2*a^2*log(b*x + a)/b^3 + (b*x^2 - 2*a*x)/b^2)*cosh(d*x + c)","B",0
21,1,156,0,0.380081," ","integrate(x*cosh(d*x+c)/(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, d {\left(\frac{a {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b d} - \frac{\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}}{b} + \frac{2 \, a \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{2} d}\right)} + {\left(\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/2*d*(a*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b*d) - ((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b + 2*a*cosh(d*x + c)*log(b*x + a)/(b^2*d)) + (x/b - a*log(b*x + a)/b^2)*cosh(d*x + c)","B",0
22,1,57,0,0.362152," ","integrate(cosh(d*x+c)/(b*x+a),x, algorithm=""maxima"")","-\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, b} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, b}"," ",0,"-1/2*e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b - 1/2*e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b","A",0
23,1,155,0,0.413409," ","integrate(cosh(d*x+c)/x/(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, d {\left(\frac{b {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{a d} + \frac{2 \, \cosh\left(d x + c\right) \log\left(b x + a\right)}{a d} - \frac{2 \, \cosh\left(d x + c\right) \log\left(x\right)}{a d} + \frac{{\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}}{a d}\right)} - {\left(\frac{\log\left(b x + a\right)}{a} - \frac{\log\left(x\right)}{a}\right)} \cosh\left(d x + c\right)"," ",0,"1/2*d*(b*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(a*d) + 2*cosh(d*x + c)*log(b*x + a)/(a*d) - 2*cosh(d*x + c)*log(x)/(a*d) + (Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)/(a*d)) - (log(b*x + a)/a - log(x)/a)*cosh(d*x + c)","B",0
24,1,192,0,0.455065," ","integrate(cosh(d*x+c)/x^2/(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, d {\left(\frac{{\rm Ei}\left(-d x\right) e^{\left(-c\right)} - {\rm Ei}\left(d x\right) e^{c}}{a} + \frac{b^{2} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{a^{2} d} + \frac{2 \, b \cosh\left(d x + c\right) \log\left(b x + a\right)}{a^{2} d} - \frac{2 \, b \cosh\left(d x + c\right) \log\left(x\right)}{a^{2} d} + \frac{{\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b}{a^{2} d}\right)} + {\left(\frac{b \log\left(b x + a\right)}{a^{2}} - \frac{b \log\left(x\right)}{a^{2}} - \frac{1}{a x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*d*((Ei(-d*x)*e^(-c) - Ei(d*x)*e^c)/a + b^2*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(a^2*d) + 2*b*cosh(d*x + c)*log(b*x + a)/(a^2*d) - 2*b*cosh(d*x + c)*log(x)/(a^2*d) + (Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b/(a^2*d)) + (b*log(b*x + a)/a^2 - b*log(x)/a^2 - 1/(a*x))*cosh(d*x + c)","A",0
25,1,242,0,0.484600," ","integrate(cosh(d*x+c)/x^3/(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, d {\left(\frac{d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + d e^{c} \Gamma\left(-1, -d x\right)}{a} + \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} - {\rm Ei}\left(d x\right) e^{c}\right)} b}{a^{2}} + \frac{2 \, b^{3} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{a^{3} d} + \frac{4 \, b^{2} \cosh\left(d x + c\right) \log\left(b x + a\right)}{a^{3} d} - \frac{4 \, b^{2} \cosh\left(d x + c\right) \log\left(x\right)}{a^{3} d} + \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b^{2}}{a^{3} d}\right)} - \frac{1}{2} \, {\left(\frac{2 \, b^{2} \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b^{2} \log\left(x\right)}{a^{3}} - \frac{2 \, b x - a}{a^{2} x^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/4*d*((d*e^(-c)*gamma(-1, d*x) + d*e^c*gamma(-1, -d*x))/a + 2*(Ei(-d*x)*e^(-c) - Ei(d*x)*e^c)*b/a^2 + 2*b^3*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(a^3*d) + 4*b^2*cosh(d*x + c)*log(b*x + a)/(a^3*d) - 4*b^2*cosh(d*x + c)*log(x)/(a^3*d) + 2*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b^2/(a^3*d)) - 1/2*(2*b^2*log(b*x + a)/a^3 - 2*b^2*log(x)/a^3 - (2*b*x - a)/(a^2*x^2))*cosh(d*x + c)","A",0
26,1,406,0,0.421156," ","integrate(x^4*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(3 \, a^{4} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b^{6}} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b^{6}}\right)} + \frac{12 \, a^{3} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b^{4} d} - \frac{9 \, a^{2} {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)}}{b^{4}} + \frac{3 \, a {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)}}{b^{3}} - \frac{\frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} e^{\left(-d x - c\right)}}{d^{4}}}{b^{2}} + \frac{24 \, a^{3} \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{5} d}\right)} d - \frac{1}{3} \, {\left(\frac{3 \, a^{4}}{b^{6} x + a b^{5}} + \frac{12 \, a^{3} \log\left(b x + a\right)}{b^{5}} - \frac{b^{2} x^{3} - 3 \, a b x^{2} + 9 \, a^{2} x}{b^{4}}\right)} \cosh\left(d x + c\right)"," ",0,"1/6*(3*a^4*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b^6 - e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b^6) + 12*a^3*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b^4*d) - 9*a^2*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b^4 + 3*a*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3)/b^3 - ((d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*e^(-d*x - c)/d^4)/b^2 + 24*a^3*cosh(d*x + c)*log(b*x + a)/(b^5*d))*d - 1/3*(3*a^4/(b^6*x + a*b^5) + 12*a^3*log(b*x + a)/b^5 - (b^2*x^3 - 3*a*b*x^2 + 9*a^2*x)/b^4)*cosh(d*x + c)","A",0
27,1,312,0,0.421472," ","integrate(x^3*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(2 \, a^{3} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b^{5}} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b^{5}}\right)} + \frac{6 \, a^{2} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b^{3} d} - \frac{4 \, a {\left(\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}\right)}}{b^{3}} + \frac{\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}}{b^{2}} + \frac{12 \, a^{2} \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{4} d}\right)} d + \frac{1}{2} \, {\left(\frac{2 \, a^{3}}{b^{5} x + a b^{4}} + \frac{6 \, a^{2} \log\left(b x + a\right)}{b^{4}} + \frac{b x^{2} - 4 \, a x}{b^{3}}\right)} \cosh\left(d x + c\right)"," ",0,"-1/4*(2*a^3*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b^5 - e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b^5) + 6*a^2*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b^3*d) - 4*a*((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b^3 + ((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3)/b^2 + 12*a^2*cosh(d*x + c)*log(b*x + a)/(b^4*d))*d + 1/2*(2*a^3/(b^5*x + a*b^4) + 6*a^2*log(b*x + a)/b^4 + (b*x^2 - 4*a*x)/b^3)*cosh(d*x + c)","A",0
28,1,236,0,0.411601," ","integrate(x^2*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(a^{2} {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b^{4}} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b^{4}}\right)} + \frac{2 \, a {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{b^{2} d} - \frac{\frac{{\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} e^{\left(-d x - c\right)}}{d^{2}}}{b^{2}} + \frac{4 \, a \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{3} d}\right)} d - {\left(\frac{a^{2}}{b^{4} x + a b^{3}} - \frac{x}{b^{2}} + \frac{2 \, a \log\left(b x + a\right)}{b^{3}}\right)} \cosh\left(d x + c\right)"," ",0,"1/2*(a^2*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b^4 - e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b^4) + 2*a*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b^2*d) - ((d*x*e^c - e^c)*e^(d*x)/d^2 + (d*x + 1)*e^(-d*x - c)/d^2)/b^2 + 4*a*cosh(d*x + c)*log(b*x + a)/(b^3*d))*d - (a^2/(b^4*x + a*b^3) - x/b^2 + 2*a*log(b*x + a)/b^3)*cosh(d*x + c)","A",0
29,1,178,0,0.405520," ","integrate(x*cosh(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(a {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b^{3}} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b^{3}}\right)} + \frac{\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}}{b d} + \frac{2 \, \cosh\left(d x + c\right) \log\left(b x + a\right)}{b^{2} d}\right)} d + {\left(\frac{a}{b^{3} x + a b^{2}} + \frac{\log\left(b x + a\right)}{b^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*(a*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b^3 - e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b^3) + (e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(b*d) + 2*cosh(d*x + c)*log(b*x + a)/(b^2*d))*d + (a/(b^3*x + a*b^2) + log(b*x + a)/b^2)*cosh(d*x + c)","A",0
30,1,81,0,0.360558," ","integrate(cosh(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{d {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{2 \, b} - \frac{\cosh\left(d x + c\right)}{{\left(b x + a\right)} b}"," ",0,"1/2*d*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b - e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/b - cosh(d*x + c)/((b*x + a)*b)","A",0
31,1,227,0,0.464932," ","integrate(cosh(d*x+c)/x/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, d {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{a b} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{a b} - \frac{b {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{1}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{b} + \frac{e^{\left(c - \frac{a d}{b}\right)} E_{1}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{b}\right)}}{a^{2} d} - \frac{2 \, \cosh\left(d x + c\right) \log\left(b x + a\right)}{a^{2} d} + \frac{2 \, \cosh\left(d x + c\right) \log\left(x\right)}{a^{2} d} - \frac{{\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}}{a^{2} d}\right)} + {\left(\frac{1}{a b x + a^{2}} - \frac{\log\left(b x + a\right)}{a^{2}} + \frac{\log\left(x\right)}{a^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*d*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/(a*b) - e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/(a*b) - b*(e^(-c + a*d/b)*exp_integral_e(1, (b*x + a)*d/b)/b + e^(c - a*d/b)*exp_integral_e(1, -(b*x + a)*d/b)/b)/(a^2*d) - 2*cosh(d*x + c)*log(b*x + a)/(a^2*d) + 2*cosh(d*x + c)*log(x)/(a^2*d) - (Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)/(a^2*d)) + (1/(a*b*x + a^2) - log(b*x + a)/a^2 + log(x)/a^2)*cosh(d*x + c)","A",0
32,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x + a)^2*x^2), x)","F",0
33,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{3}{2} \, a^{2} d \int \frac{x e^{\left(d x + c\right)}}{b^{5} d^{2} x^{4} + 4 \, a b^{4} d^{2} x^{3} + 6 \, a^{2} b^{3} d^{2} x^{2} + 4 \, a^{3} b^{2} d^{2} x + a^{4} b d^{2}}\,{d x} - \frac{3}{2} \, a^{2} d \int \frac{x}{b^{5} d^{2} x^{4} e^{\left(d x + c\right)} + 4 \, a b^{4} d^{2} x^{3} e^{\left(d x + c\right)} + 6 \, a^{2} b^{3} d^{2} x^{2} e^{\left(d x + c\right)} + 4 \, a^{3} b^{2} d^{2} x e^{\left(d x + c\right)} + a^{4} b d^{2} e^{\left(d x + c\right)}}\,{d x} - 3 \, a b \int \frac{x e^{\left(d x + c\right)}}{b^{5} d^{2} x^{4} + 4 \, a b^{4} d^{2} x^{3} + 6 \, a^{2} b^{3} d^{2} x^{2} + 4 \, a^{3} b^{2} d^{2} x + a^{4} b d^{2}}\,{d x} - 3 \, a b \int \frac{x}{b^{5} d^{2} x^{4} e^{\left(d x + c\right)} + 4 \, a b^{4} d^{2} x^{3} e^{\left(d x + c\right)} + 6 \, a^{2} b^{3} d^{2} x^{2} e^{\left(d x + c\right)} + 4 \, a^{3} b^{2} d^{2} x e^{\left(d x + c\right)} + a^{4} b d^{2} e^{\left(d x + c\right)}}\,{d x} + \frac{{\left(b d x^{3} e^{\left(2 \, c\right)} - 3 \, a x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(b d x^{3} + 3 \, a x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{4} d^{2} x^{3} e^{c} + 3 \, a b^{3} d^{2} x^{2} e^{c} + 3 \, a^{2} b^{2} d^{2} x e^{c} + a^{3} b d^{2} e^{c}\right)}} - \frac{3 \, a^{2} e^{\left(-c + \frac{a d}{b}\right)} E_{4}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, {\left(b x + a\right)}^{3} b^{2} d^{2}} - \frac{3 \, a^{2} e^{\left(c - \frac{a d}{b}\right)} E_{4}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, {\left(b x + a\right)}^{3} b^{2} d^{2}}"," ",0,"3/2*a^2*d*integrate(x*e^(d*x + c)/(b^5*d^2*x^4 + 4*a*b^4*d^2*x^3 + 6*a^2*b^3*d^2*x^2 + 4*a^3*b^2*d^2*x + a^4*b*d^2), x) - 3/2*a^2*d*integrate(x/(b^5*d^2*x^4*e^(d*x + c) + 4*a*b^4*d^2*x^3*e^(d*x + c) + 6*a^2*b^3*d^2*x^2*e^(d*x + c) + 4*a^3*b^2*d^2*x*e^(d*x + c) + a^4*b*d^2*e^(d*x + c)), x) - 3*a*b*integrate(x*e^(d*x + c)/(b^5*d^2*x^4 + 4*a*b^4*d^2*x^3 + 6*a^2*b^3*d^2*x^2 + 4*a^3*b^2*d^2*x + a^4*b*d^2), x) - 3*a*b*integrate(x/(b^5*d^2*x^4*e^(d*x + c) + 4*a*b^4*d^2*x^3*e^(d*x + c) + 6*a^2*b^3*d^2*x^2*e^(d*x + c) + 4*a^3*b^2*d^2*x*e^(d*x + c) + a^4*b*d^2*e^(d*x + c)), x) + 1/2*((b*d*x^3*e^(2*c) - 3*a*x*e^(2*c))*e^(d*x) - (b*d*x^3 + 3*a*x)*e^(-d*x))/(b^4*d^2*x^3*e^c + 3*a*b^3*d^2*x^2*e^c + 3*a^2*b^2*d^2*x*e^c + a^3*b*d^2*e^c) - 3/2*a^2*e^(-c + a*d/b)*exp_integral_e(4, (b*x + a)*d/b)/((b*x + a)^3*b^2*d^2) - 3/2*a^2*e^(c - a*d/b)*exp_integral_e(4, -(b*x + a)*d/b)/((b*x + a)^3*b^2*d^2)","F",0
34,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{3}{2} \, a d \int \frac{x e^{\left(d x + c\right)}}{b^{4} d^{2} x^{4} + 4 \, a b^{3} d^{2} x^{3} + 6 \, a^{2} b^{2} d^{2} x^{2} + 4 \, a^{3} b d^{2} x + a^{4} d^{2}}\,{d x} + \frac{3}{2} \, a d \int \frac{x}{b^{4} d^{2} x^{4} e^{\left(d x + c\right)} + 4 \, a b^{3} d^{2} x^{3} e^{\left(d x + c\right)} + 6 \, a^{2} b^{2} d^{2} x^{2} e^{\left(d x + c\right)} + 4 \, a^{3} b d^{2} x e^{\left(d x + c\right)} + a^{4} d^{2} e^{\left(d x + c\right)}}\,{d x} + b \int \frac{x e^{\left(d x + c\right)}}{b^{4} d^{2} x^{4} + 4 \, a b^{3} d^{2} x^{3} + 6 \, a^{2} b^{2} d^{2} x^{2} + 4 \, a^{3} b d^{2} x + a^{4} d^{2}}\,{d x} + b \int \frac{x}{b^{4} d^{2} x^{4} e^{\left(d x + c\right)} + 4 \, a b^{3} d^{2} x^{3} e^{\left(d x + c\right)} + 6 \, a^{2} b^{2} d^{2} x^{2} e^{\left(d x + c\right)} + 4 \, a^{3} b d^{2} x e^{\left(d x + c\right)} + a^{4} d^{2} e^{\left(d x + c\right)}}\,{d x} + \frac{{\left(d x^{2} e^{\left(2 \, c\right)} + x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{2} - x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{2} x^{3} e^{c} + 3 \, a b^{2} d^{2} x^{2} e^{c} + 3 \, a^{2} b d^{2} x e^{c} + a^{3} d^{2} e^{c}\right)}} + \frac{a e^{\left(-c + \frac{a d}{b}\right)} E_{4}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, {\left(b x + a\right)}^{3} b d^{2}} + \frac{a e^{\left(c - \frac{a d}{b}\right)} E_{4}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, {\left(b x + a\right)}^{3} b d^{2}}"," ",0,"-3/2*a*d*integrate(x*e^(d*x + c)/(b^4*d^2*x^4 + 4*a*b^3*d^2*x^3 + 6*a^2*b^2*d^2*x^2 + 4*a^3*b*d^2*x + a^4*d^2), x) + 3/2*a*d*integrate(x/(b^4*d^2*x^4*e^(d*x + c) + 4*a*b^3*d^2*x^3*e^(d*x + c) + 6*a^2*b^2*d^2*x^2*e^(d*x + c) + 4*a^3*b*d^2*x*e^(d*x + c) + a^4*d^2*e^(d*x + c)), x) + b*integrate(x*e^(d*x + c)/(b^4*d^2*x^4 + 4*a*b^3*d^2*x^3 + 6*a^2*b^2*d^2*x^2 + 4*a^3*b*d^2*x + a^4*d^2), x) + b*integrate(x/(b^4*d^2*x^4*e^(d*x + c) + 4*a*b^3*d^2*x^3*e^(d*x + c) + 6*a^2*b^2*d^2*x^2*e^(d*x + c) + 4*a^3*b*d^2*x*e^(d*x + c) + a^4*d^2*e^(d*x + c)), x) + 1/2*((d*x^2*e^(2*c) + x*e^(2*c))*e^(d*x) - (d*x^2 - x)*e^(-d*x))/(b^3*d^2*x^3*e^c + 3*a*b^2*d^2*x^2*e^c + 3*a^2*b*d^2*x*e^c + a^3*d^2*e^c) + 1/2*a*e^(-c + a*d/b)*exp_integral_e(4, (b*x + a)*d/b)/((b*x + a)^3*b*d^2) + 1/2*a*e^(c - a*d/b)*exp_integral_e(4, -(b*x + a)*d/b)/((b*x + a)^3*b*d^2)","F",0
35,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","b \int \frac{x e^{\left(d x + c\right)}}{b^{4} d x^{4} + 4 \, a b^{3} d x^{3} + 6 \, a^{2} b^{2} d x^{2} + 4 \, a^{3} b d x + a^{4} d}\,{d x} - b \int \frac{x}{b^{4} d x^{4} e^{\left(d x + c\right)} + 4 \, a b^{3} d x^{3} e^{\left(d x + c\right)} + 6 \, a^{2} b^{2} d x^{2} e^{\left(d x + c\right)} + 4 \, a^{3} b d x e^{\left(d x + c\right)} + a^{4} d e^{\left(d x + c\right)}}\,{d x} + \frac{x e^{\left(d x + 2 \, c\right)} - x e^{\left(-d x\right)}}{2 \, {\left(b^{3} d x^{3} e^{c} + 3 \, a b^{2} d x^{2} e^{c} + 3 \, a^{2} b d x e^{c} + a^{3} d e^{c}\right)}} - \frac{a e^{\left(-c + \frac{a d}{b}\right)} E_{4}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, {\left(b x + a\right)}^{3} b d} + \frac{a e^{\left(c - \frac{a d}{b}\right)} E_{4}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{2 \, {\left(b x + a\right)}^{3} b d}"," ",0,"b*integrate(x*e^(d*x + c)/(b^4*d*x^4 + 4*a*b^3*d*x^3 + 6*a^2*b^2*d*x^2 + 4*a^3*b*d*x + a^4*d), x) - b*integrate(x/(b^4*d*x^4*e^(d*x + c) + 4*a*b^3*d*x^3*e^(d*x + c) + 6*a^2*b^2*d*x^2*e^(d*x + c) + 4*a^3*b*d*x*e^(d*x + c) + a^4*d*e^(d*x + c)), x) + 1/2*(x*e^(d*x + 2*c) - x*e^(-d*x))/(b^3*d*x^3*e^c + 3*a*b^2*d*x^2*e^c + 3*a^2*b*d*x*e^c + a^3*d*e^c) - 1/2*a*e^(-c + a*d/b)*exp_integral_e(4, (b*x + a)*d/b)/((b*x + a)^3*b*d) + 1/2*a*e^(c - a*d/b)*exp_integral_e(4, -(b*x + a)*d/b)/((b*x + a)^3*b*d)","F",0
36,1,95,0,0.363130," ","integrate(cosh(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{d {\left(\frac{e^{\left(-c + \frac{a d}{b}\right)} E_{2}\left(\frac{{\left(b x + a\right)} d}{b}\right)}{{\left(b x + a\right)} b} - \frac{e^{\left(c - \frac{a d}{b}\right)} E_{2}\left(-\frac{{\left(b x + a\right)} d}{b}\right)}{{\left(b x + a\right)} b}\right)}}{4 \, b} - \frac{\cosh\left(d x + c\right)}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"1/4*d*(e^(-c + a*d/b)*exp_integral_e(2, (b*x + a)*d/b)/((b*x + a)*b) - e^(c - a*d/b)*exp_integral_e(2, -(b*x + a)*d/b)/((b*x + a)*b))/b - 1/2*cosh(d*x + c)/((b*x + a)^2*b)","A",0
37,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x + a\right)}^{3} x}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x + a)^3*x), x)","F",0
38,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x + a)^3*x^2), x)","F",0
39,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^3/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x + a\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x + a)^3*x^3), x)","F",0
40,1,250,0,0.324463," ","integrate(x^3*(b*x^2+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{24} \, d {\left(\frac{3 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{5}} + \frac{3 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} a e^{\left(-d x - c\right)}}{d^{5}} + \frac{2 \, {\left(d^{6} x^{6} e^{c} - 6 \, d^{5} x^{5} e^{c} + 30 \, d^{4} x^{4} e^{c} - 120 \, d^{3} x^{3} e^{c} + 360 \, d^{2} x^{2} e^{c} - 720 \, d x e^{c} + 720 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{7}} + \frac{2 \, {\left(d^{6} x^{6} + 6 \, d^{5} x^{5} + 30 \, d^{4} x^{4} + 120 \, d^{3} x^{3} + 360 \, d^{2} x^{2} + 720 \, d x + 720\right)} b e^{\left(-d x - c\right)}}{d^{7}}\right)} + \frac{1}{12} \, {\left(2 \, b x^{6} + 3 \, a x^{4}\right)} \cosh\left(d x + c\right)"," ",0,"-1/24*d*(3*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*a*e^(d*x)/d^5 + 3*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*a*e^(-d*x - c)/d^5 + 2*(d^6*x^6*e^c - 6*d^5*x^5*e^c + 30*d^4*x^4*e^c - 120*d^3*x^3*e^c + 360*d^2*x^2*e^c - 720*d*x*e^c + 720*e^c)*b*e^(d*x)/d^7 + 2*(d^6*x^6 + 6*d^5*x^5 + 30*d^4*x^4 + 120*d^3*x^3 + 360*d^2*x^2 + 720*d*x + 720)*b*e^(-d*x - c)/d^7) + 1/12*(2*b*x^6 + 3*a*x^4)*cosh(d*x + c)","A",0
41,1,214,0,0.328952," ","integrate(x^2*(b*x^2+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{30} \, d {\left(\frac{5 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{4}} + \frac{5 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a e^{\left(-d x - c\right)}}{d^{4}} + \frac{3 \, {\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{6}} + \frac{3 \, {\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} b e^{\left(-d x - c\right)}}{d^{6}}\right)} + \frac{1}{15} \, {\left(3 \, b x^{5} + 5 \, a x^{3}\right)} \cosh\left(d x + c\right)"," ",0,"-1/30*d*(5*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a*e^(d*x)/d^4 + 5*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a*e^(-d*x - c)/d^4 + 3*(d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*b*e^(d*x)/d^6 + 3*(d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*b*e^(-d*x - c)/d^6) + 1/15*(3*b*x^5 + 5*a*x^3)*cosh(d*x + c)","A",0
42,1,213,0,0.325359," ","integrate(x*(b*x^2+a)*cosh(d*x+c),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{2} \cosh\left(d x + c\right)}{4 \, b} - \frac{{\left(\frac{a^{2} e^{\left(d x + c\right)}}{d} + \frac{a^{2} e^{\left(-d x - c\right)}}{d} + \frac{2 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{3}} + \frac{2 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a b e^{\left(-d x - c\right)}}{d^{3}} + \frac{{\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{5}} + \frac{{\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} b^{2} e^{\left(-d x - c\right)}}{d^{5}}\right)} d}{8 \, b}"," ",0,"1/4*(b*x^2 + a)^2*cosh(d*x + c)/b - 1/8*(a^2*e^(d*x + c)/d + a^2*e^(-d*x - c)/d + 2*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a*b*e^(d*x)/d^3 + 2*(d^2*x^2 + 2*d*x + 2)*a*b*e^(-d*x - c)/d^3 + (d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*b^2*e^(d*x)/d^5 + (d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*b^2*e^(-d*x - c)/d^5)*d/b","B",0
43,1,86,0,0.326111," ","integrate((b*x^2+a)*cosh(d*x+c),x, algorithm=""maxima"")","\frac{a e^{\left(d x + c\right)}}{2 \, d} - \frac{a e^{\left(-d x - c\right)}}{2 \, d} + \frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} b e^{\left(d x\right)}}{2 \, d^{3}} - \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} b e^{\left(-d x - c\right)}}{2 \, d^{3}}"," ",0,"1/2*a*e^(d*x + c)/d - 1/2*a*e^(-d*x - c)/d + 1/2*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*b*e^(d*x)/d^3 - 1/2*(d^2*x^2 + 2*d*x + 2)*b*e^(-d*x - c)/d^3","A",0
44,1,122,0,0.390860," ","integrate((b*x^2+a)*cosh(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)} + \frac{2 \, a \cosh\left(d x + c\right) \log\left(x^{2}\right)}{d} - \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a}{d}\right)} d + \frac{1}{2} \, {\left(b x^{2} + a \log\left(x^{2}\right)\right)} \cosh\left(d x + c\right)"," ",0,"-1/4*(b*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3) + 2*a*cosh(d*x + c)*log(x^2)/d - 2*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a/d)*d + 1/2*(b*x^2 + a*log(x^2))*cosh(d*x + c)","B",0
45,1,80,0,0.383378," ","integrate((b*x^2+a)*cosh(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(a {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - a {\rm Ei}\left(d x\right) e^{c} + \frac{{\left(d x e^{c} - e^{c}\right)} b e^{\left(d x\right)}}{d^{2}} + \frac{{\left(d x + 1\right)} b e^{\left(-d x - c\right)}}{d^{2}}\right)} d + {\left(b x - \frac{a}{x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/2*(a*Ei(-d*x)*e^(-c) - a*Ei(d*x)*e^c + (d*x*e^c - e^c)*b*e^(d*x)/d^2 + (d*x + 1)*b*e^(-d*x - c)/d^2)*d + (b*x - a/x)*cosh(d*x + c)","A",0
46,1,90,0,0.409725," ","integrate((b*x^2+a)*cosh(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left({\left(d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + d e^{c} \Gamma\left(-1, -d x\right)\right)} a - \frac{2 \, b \cosh\left(d x + c\right) \log\left(x^{2}\right)}{d} + \frac{2 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b}{d}\right)} d + \frac{1}{2} \, {\left(b \log\left(x^{2}\right) - \frac{a}{x^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/4*((d*e^(-c)*gamma(-1, d*x) + d*e^c*gamma(-1, -d*x))*a - 2*b*cosh(d*x + c)*log(x^2)/d + 2*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b/d)*d + 1/2*(b*log(x^2) - a/x^2)*cosh(d*x + c)","A",0
47,1,73,0,0.410383," ","integrate((b*x^2+a)*cosh(d*x+c)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(a d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - a d^{2} e^{c} \Gamma\left(-2, -d x\right) - 3 \, b {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 3 \, b {\rm Ei}\left(d x\right) e^{c}\right)} d - \frac{{\left(3 \, b x^{2} + a\right)} \cosh\left(d x + c\right)}{3 \, x^{3}}"," ",0,"1/6*(a*d^2*e^(-c)*gamma(-2, d*x) - a*d^2*e^c*gamma(-2, -d*x) - 3*b*Ei(-d*x)*e^(-c) + 3*b*Ei(d*x)*e^c)*d - 1/3*(3*b*x^2 + a)*cosh(d*x + c)/x^3","A",0
48,1,76,0,0.413863," ","integrate((b*x^2+a)*cosh(d*x+c)/x^5,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(a d^{3} e^{\left(-c\right)} \Gamma\left(-3, d x\right) + a d^{3} e^{c} \Gamma\left(-3, -d x\right) + 2 \, b d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + 2 \, b d e^{c} \Gamma\left(-1, -d x\right)\right)} d - \frac{{\left(2 \, b x^{2} + a\right)} \cosh\left(d x + c\right)}{4 \, x^{4}}"," ",0,"1/8*(a*d^3*e^(-c)*gamma(-3, d*x) + a*d^3*e^c*gamma(-3, -d*x) + 2*b*d*e^(-c)*gamma(-1, d*x) + 2*b*d*e^c*gamma(-1, -d*x))*d - 1/4*(2*b*x^2 + a)*cosh(d*x + c)/x^4","A",0
49,1,383,0,0.339477," ","integrate(x^2*(b*x^2+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{210} \, d {\left(\frac{35 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a^{2} e^{\left(d x\right)}}{d^{4}} + \frac{35 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a^{2} e^{\left(-d x - c\right)}}{d^{4}} + \frac{42 \, {\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{6}} + \frac{42 \, {\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} a b e^{\left(-d x - c\right)}}{d^{6}} + \frac{15 \, {\left(d^{7} x^{7} e^{c} - 7 \, d^{6} x^{6} e^{c} + 42 \, d^{5} x^{5} e^{c} - 210 \, d^{4} x^{4} e^{c} + 840 \, d^{3} x^{3} e^{c} - 2520 \, d^{2} x^{2} e^{c} + 5040 \, d x e^{c} - 5040 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{8}} + \frac{15 \, {\left(d^{7} x^{7} + 7 \, d^{6} x^{6} + 42 \, d^{5} x^{5} + 210 \, d^{4} x^{4} + 840 \, d^{3} x^{3} + 2520 \, d^{2} x^{2} + 5040 \, d x + 5040\right)} b^{2} e^{\left(-d x - c\right)}}{d^{8}}\right)} + \frac{1}{105} \, {\left(15 \, b^{2} x^{7} + 42 \, a b x^{5} + 35 \, a^{2} x^{3}\right)} \cosh\left(d x + c\right)"," ",0,"-1/210*d*(35*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a^2*e^(d*x)/d^4 + 35*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a^2*e^(-d*x - c)/d^4 + 42*(d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*a*b*e^(d*x)/d^6 + 42*(d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*a*b*e^(-d*x - c)/d^6 + 15*(d^7*x^7*e^c - 7*d^6*x^6*e^c + 42*d^5*x^5*e^c - 210*d^4*x^4*e^c + 840*d^3*x^3*e^c - 2520*d^2*x^2*e^c + 5040*d*x*e^c - 5040*e^c)*b^2*e^(d*x)/d^8 + 15*(d^7*x^7 + 7*d^6*x^6 + 42*d^5*x^5 + 210*d^4*x^4 + 840*d^3*x^3 + 2520*d^2*x^2 + 5040*d*x + 5040)*b^2*e^(-d*x - c)/d^8) + 1/105*(15*b^2*x^7 + 42*a*b*x^5 + 35*a^2*x^3)*cosh(d*x + c)","A",0
50,1,353,0,0.332470," ","integrate(x*(b*x^2+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{3} \cosh\left(d x + c\right)}{6 \, b} - \frac{{\left(\frac{a^{3} e^{\left(d x + c\right)}}{d} + \frac{a^{3} e^{\left(-d x - c\right)}}{d} + \frac{3 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a^{2} b e^{\left(d x\right)}}{d^{3}} + \frac{3 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a^{2} b e^{\left(-d x - c\right)}}{d^{3}} + \frac{3 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} a b^{2} e^{\left(d x\right)}}{d^{5}} + \frac{3 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} a b^{2} e^{\left(-d x - c\right)}}{d^{5}} + \frac{{\left(d^{6} x^{6} e^{c} - 6 \, d^{5} x^{5} e^{c} + 30 \, d^{4} x^{4} e^{c} - 120 \, d^{3} x^{3} e^{c} + 360 \, d^{2} x^{2} e^{c} - 720 \, d x e^{c} + 720 \, e^{c}\right)} b^{3} e^{\left(d x\right)}}{d^{7}} + \frac{{\left(d^{6} x^{6} + 6 \, d^{5} x^{5} + 30 \, d^{4} x^{4} + 120 \, d^{3} x^{3} + 360 \, d^{2} x^{2} + 720 \, d x + 720\right)} b^{3} e^{\left(-d x - c\right)}}{d^{7}}\right)} d}{12 \, b}"," ",0,"1/6*(b*x^2 + a)^3*cosh(d*x + c)/b - 1/12*(a^3*e^(d*x + c)/d + a^3*e^(-d*x - c)/d + 3*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a^2*b*e^(d*x)/d^3 + 3*(d^2*x^2 + 2*d*x + 2)*a^2*b*e^(-d*x - c)/d^3 + 3*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*a*b^2*e^(d*x)/d^5 + 3*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*a*b^2*e^(-d*x - c)/d^5 + (d^6*x^6*e^c - 6*d^5*x^5*e^c + 30*d^4*x^4*e^c - 120*d^3*x^3*e^c + 360*d^2*x^2*e^c - 720*d*x*e^c + 720*e^c)*b^3*e^(d*x)/d^7 + (d^6*x^6 + 6*d^5*x^5 + 30*d^4*x^4 + 120*d^3*x^3 + 360*d^2*x^2 + 720*d*x + 720)*b^3*e^(-d*x - c)/d^7)*d/b","A",0
51,1,189,0,0.335759," ","integrate((b*x^2+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} e^{\left(d x + c\right)}}{2 \, d} - \frac{a^{2} e^{\left(-d x - c\right)}}{2 \, d} + \frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{3}} - \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} a b e^{\left(-d x - c\right)}}{d^{3}} + \frac{{\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{2 \, d^{5}} - \frac{{\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} b^{2} e^{\left(-d x - c\right)}}{2 \, d^{5}}"," ",0,"1/2*a^2*e^(d*x + c)/d - 1/2*a^2*e^(-d*x - c)/d + (d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a*b*e^(d*x)/d^3 - (d^2*x^2 + 2*d*x + 2)*a*b*e^(-d*x - c)/d^3 + 1/2*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*b^2*e^(d*x)/d^5 - 1/2*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*b^2*e^(-d*x - c)/d^5","A",0
52,1,235,0,0.400334," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(4 \, a b {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)} + b^{2} {\left(\frac{{\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} e^{\left(d x\right)}}{d^{5}} + \frac{{\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} e^{\left(-d x - c\right)}}{d^{5}}\right)} + \frac{4 \, a^{2} \cosh\left(d x + c\right) \log\left(x^{2}\right)}{d} - \frac{4 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a^{2}}{d}\right)} d + \frac{1}{4} \, {\left(b^{2} x^{4} + 4 \, a b x^{2} + 2 \, a^{2} \log\left(x^{2}\right)\right)} \cosh\left(d x + c\right)"," ",0,"-1/8*(4*a*b*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3) + b^2*((d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*e^(d*x)/d^5 + (d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*e^(-d*x - c)/d^5) + 4*a^2*cosh(d*x + c)*log(x^2)/d - 4*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a^2/d)*d + 1/4*(b^2*x^4 + 4*a*b*x^2 + 2*a^2*log(x^2))*cosh(d*x + c)","B",0
53,1,179,0,0.501578," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(3 \, a^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 3 \, a^{2} {\rm Ei}\left(d x\right) e^{c} + \frac{6 \, {\left(d x e^{c} - e^{c}\right)} a b e^{\left(d x\right)}}{d^{2}} + \frac{6 \, {\left(d x + 1\right)} a b e^{\left(-d x - c\right)}}{d^{2}} + \frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} b^{2} e^{\left(-d x - c\right)}}{d^{4}}\right)} d + \frac{1}{3} \, {\left(b^{2} x^{3} + 6 \, a b x - \frac{3 \, a^{2}}{x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/6*(3*a^2*Ei(-d*x)*e^(-c) - 3*a^2*Ei(d*x)*e^c + 6*(d*x*e^c - e^c)*a*b*e^(d*x)/d^2 + 6*(d*x + 1)*a*b*e^(-d*x - c)/d^2 + (d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*b^2*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*b^2*e^(-d*x - c)/d^4)*d + 1/3*(b^2*x^3 + 6*a*b*x - 3*a^2/x)*cosh(d*x + c)","A",0
54,1,165,0,0.426848," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left({\left(d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + d e^{c} \Gamma\left(-1, -d x\right)\right)} a^{2} - b^{2} {\left(\frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} e^{\left(-d x - c\right)}}{d^{3}}\right)} - \frac{4 \, a b \cosh\left(d x + c\right) \log\left(x^{2}\right)}{d} + \frac{4 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a b}{d}\right)} d + \frac{1}{2} \, {\left(b^{2} x^{2} + 2 \, a b \log\left(x^{2}\right) - \frac{a^{2}}{x^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/4*((d*e^(-c)*gamma(-1, d*x) + d*e^c*gamma(-1, -d*x))*a^2 - b^2*((d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*e^(-d*x - c)/d^3) - 4*a*b*cosh(d*x + c)*log(x^2)/d + 4*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a*b/d)*d + 1/2*(b^2*x^2 + 2*a*b*log(x^2) - a^2/x^2)*cosh(d*x + c)","A",0
55,1,135,0,0.421459," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(a^{2} d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - a^{2} d^{2} e^{c} \Gamma\left(-2, -d x\right) - 6 \, a b {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 6 \, a b {\rm Ei}\left(d x\right) e^{c} - \frac{3 \, {\left(d x e^{c} - e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{2}} - \frac{3 \, {\left(d x + 1\right)} b^{2} e^{\left(-d x - c\right)}}{d^{2}}\right)} d + \frac{1}{3} \, {\left(3 \, b^{2} x - \frac{6 \, a b x^{2} + a^{2}}{x^{3}}\right)} \cosh\left(d x + c\right)"," ",0,"1/6*(a^2*d^2*e^(-c)*gamma(-2, d*x) - a^2*d^2*e^c*gamma(-2, -d*x) - 6*a*b*Ei(-d*x)*e^(-c) + 6*a*b*Ei(d*x)*e^c - 3*(d*x*e^c - e^c)*b^2*e^(d*x)/d^2 - 3*(d*x + 1)*b^2*e^(-d*x - c)/d^2)*d + 1/3*(3*b^2*x - (6*a*b*x^2 + a^2)/x^3)*cosh(d*x + c)","A",0
56,1,139,0,0.451842," ","integrate((b*x^2+a)^2*cosh(d*x+c)/x^5,x, algorithm=""maxima"")","\frac{1}{8} \, {\left({\left(d^{3} e^{\left(-c\right)} \Gamma\left(-3, d x\right) + d^{3} e^{c} \Gamma\left(-3, -d x\right)\right)} a^{2} + 4 \, {\left(d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + d e^{c} \Gamma\left(-1, -d x\right)\right)} a b - \frac{4 \, b^{2} \cosh\left(d x + c\right) \log\left(x^{2}\right)}{d} + \frac{4 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b^{2}}{d}\right)} d + \frac{1}{4} \, {\left(2 \, b^{2} \log\left(x^{2}\right) - \frac{4 \, a b x^{2} + a^{2}}{x^{4}}\right)} \cosh\left(d x + c\right)"," ",0,"1/8*((d^3*e^(-c)*gamma(-3, d*x) + d^3*e^c*gamma(-3, -d*x))*a^2 + 4*(d*e^(-c)*gamma(-1, d*x) + d*e^c*gamma(-1, -d*x))*a*b - 4*b^2*cosh(d*x + c)*log(x^2)/d + 4*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b^2/d)*d + 1/4*(2*b^2*log(x^2) - (4*a*b*x^2 + a^2)/x^4)*cosh(d*x + c)","A",0
57,0,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\frac{{\left(b d^{2} x^{4} e^{\left(2 \, c\right)} - 2 \, b d x^{3} e^{\left(2 \, c\right)} - 2 \, a d x e^{\left(2 \, c\right)} + 2 \, b x^{2} e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(b d^{2} x^{4} + 2 \, b d x^{3} + 2 \, a d x + 2 \, b x^{2}\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{2} d^{3} x^{2} e^{c} + a b d^{3} e^{c}\right)}} + \frac{1}{2} \, \int \frac{2 \, {\left(a b d x^{2} e^{c} + a^{2} d e^{c} + {\left(a^{2} d^{2} e^{c} - 2 \, a b e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{3} d^{3} x^{4} + 2 \, a b^{2} d^{3} x^{2} + a^{2} b d^{3}}\,{d x} + \frac{1}{2} \, \int \frac{2 \, {\left(a b d x^{2} + a^{2} d - {\left(a^{2} d^{2} - 2 \, a b\right)} x\right)} e^{\left(-d x\right)}}{b^{3} d^{3} x^{4} e^{c} + 2 \, a b^{2} d^{3} x^{2} e^{c} + a^{2} b d^{3} e^{c}}\,{d x}"," ",0,"1/2*((b*d^2*x^4*e^(2*c) - 2*b*d*x^3*e^(2*c) - 2*a*d*x*e^(2*c) + 2*b*x^2*e^(2*c))*e^(d*x) - (b*d^2*x^4 + 2*b*d*x^3 + 2*a*d*x + 2*b*x^2)*e^(-d*x))/(b^2*d^3*x^2*e^c + a*b*d^3*e^c) + 1/2*integrate(2*(a*b*d*x^2*e^c + a^2*d*e^c + (a^2*d^2*e^c - 2*a*b*e^c)*x)*e^(d*x)/(b^3*d^3*x^4 + 2*a*b^2*d^3*x^2 + a^2*b*d^3), x) + 1/2*integrate(2*(a*b*d*x^2 + a^2*d - (a^2*d^2 - 2*a*b)*x)*e^(-d*x)/(b^3*d^3*x^4*e^c + 2*a*b^2*d^3*x^2*e^c + a^2*b*d^3*e^c), x)","F",0
58,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\frac{{\left(d x^{3} e^{\left(2 \, c\right)} - x^{2} e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{3} + x^{2}\right)} e^{\left(-d x\right)}}{2 \, {\left(b d^{2} x^{2} e^{c} + a d^{2} e^{c}\right)}} - \frac{1}{2} \, \int \frac{2 \, {\left(a d x^{2} e^{c} - a x e^{c}\right)} e^{\left(d x\right)}}{b^{2} d^{2} x^{4} + 2 \, a b d^{2} x^{2} + a^{2} d^{2}}\,{d x} + \frac{1}{2} \, \int \frac{2 \, {\left(a d x^{2} + a x\right)} e^{\left(-d x\right)}}{b^{2} d^{2} x^{4} e^{c} + 2 \, a b d^{2} x^{2} e^{c} + a^{2} d^{2} e^{c}}\,{d x}"," ",0,"1/2*((d*x^3*e^(2*c) - x^2*e^(2*c))*e^(d*x) - (d*x^3 + x^2)*e^(-d*x))/(b*d^2*x^2*e^c + a*d^2*e^c) - 1/2*integrate(2*(a*d*x^2*e^c - a*x*e^c)*e^(d*x)/(b^2*d^2*x^4 + 2*a*b*d^2*x^2 + a^2*d^2), x) + 1/2*integrate(2*(a*d*x^2 + a*x)*e^(-d*x)/(b^2*d^2*x^4*e^c + 2*a*b*d^2*x^2*e^c + a^2*d^2*e^c), x)","F",0
59,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","-a \int \frac{x e^{\left(d x + c\right)}}{b^{2} d x^{4} + 2 \, a b d x^{2} + a^{2} d}\,{d x} + a \int \frac{x e^{\left(-d x\right)}}{b^{2} d x^{4} e^{c} + 2 \, a b d x^{2} e^{c} + a^{2} d e^{c}}\,{d x} + \frac{x^{2} e^{\left(d x + 2 \, c\right)} - x^{2} e^{\left(-d x\right)}}{2 \, {\left(b d x^{2} e^{c} + a d e^{c}\right)}}"," ",0,"-a*integrate(x*e^(d*x + c)/(b^2*d*x^4 + 2*a*b*d*x^2 + a^2*d), x) + a*integrate(x*e^(-d*x)/(b^2*d*x^4*e^c + 2*a*b*d*x^2*e^c + a^2*d*e^c), x) + 1/2*(x^2*e^(d*x + 2*c) - x^2*e^(-d*x))/(b*d*x^2*e^c + a*d*e^c)","F",0
60,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\frac{x e^{\left(d x + 2 \, c\right)} - x e^{\left(-d x\right)}}{2 \, {\left(b d x^{2} e^{c} + a d e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(b x^{2} e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{b^{2} d x^{4} + 2 \, a b d x^{2} + a^{2} d}\,{d x} - \frac{1}{2} \, \int \frac{{\left(b x^{2} - a\right)} e^{\left(-d x\right)}}{b^{2} d x^{4} e^{c} + 2 \, a b d x^{2} e^{c} + a^{2} d e^{c}}\,{d x}"," ",0,"1/2*(x*e^(d*x + 2*c) - x*e^(-d*x))/(b*d*x^2*e^c + a*d*e^c) + 1/2*integrate((b*x^2*e^c - a*e^c)*e^(d*x)/(b^2*d*x^4 + 2*a*b*d*x^2 + a^2*d), x) - 1/2*integrate((b*x^2 - a)*e^(-d*x)/(b^2*d*x^4*e^c + 2*a*b*d*x^2*e^c + a^2*d*e^c), x)","F",0
61,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\frac{{\left(b d x^{4} e^{\left(2 \, c\right)} - 4 \, a x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(b d x^{4} + 4 \, a x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{2} x^{4} e^{c} + 2 \, a b^{2} d^{2} x^{2} e^{c} + a^{2} b d^{2} e^{c}\right)}} - \frac{1}{2} \, \int -\frac{4 \, {\left(a^{2} d x e^{c} - 3 \, a b x^{2} e^{c} + a^{2} e^{c}\right)} e^{\left(d x\right)}}{b^{4} d^{2} x^{6} + 3 \, a b^{3} d^{2} x^{4} + 3 \, a^{2} b^{2} d^{2} x^{2} + a^{3} b d^{2}}\,{d x} - \frac{1}{2} \, \int \frac{4 \, {\left(a^{2} d x + 3 \, a b x^{2} - a^{2}\right)} e^{\left(-d x\right)}}{b^{4} d^{2} x^{6} e^{c} + 3 \, a b^{3} d^{2} x^{4} e^{c} + 3 \, a^{2} b^{2} d^{2} x^{2} e^{c} + a^{3} b d^{2} e^{c}}\,{d x}"," ",0,"1/2*((b*d*x^4*e^(2*c) - 4*a*x*e^(2*c))*e^(d*x) - (b*d*x^4 + 4*a*x)*e^(-d*x))/(b^3*d^2*x^4*e^c + 2*a*b^2*d^2*x^2*e^c + a^2*b*d^2*e^c) - 1/2*integrate(-4*(a^2*d*x*e^c - 3*a*b*x^2*e^c + a^2*e^c)*e^(d*x)/(b^4*d^2*x^6 + 3*a*b^3*d^2*x^4 + 3*a^2*b^2*d^2*x^2 + a^3*b*d^2), x) - 1/2*integrate(4*(a^2*d*x + 3*a*b*x^2 - a^2)*e^(-d*x)/(b^4*d^2*x^6*e^c + 3*a*b^3*d^2*x^4*e^c + 3*a^2*b^2*d^2*x^2*e^c + a^3*b*d^2*e^c), x)","F",0
66,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(d^{2} x^{3} e^{\left(2 \, c\right)} + d x^{2} e^{\left(2 \, c\right)} + 2 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d^{2} x^{3} - d x^{2} + 2 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{2} d^{3} x^{4} e^{c} + 2 \, a b d^{3} x^{2} e^{c} + a^{2} d^{3} e^{c}\right)}} - \frac{1}{2} \, \int \frac{2 \, {\left(2 \, a d x e^{c} + {\left(2 \, a d^{2} e^{c} - 3 \, b e^{c}\right)} x^{2} + a e^{c}\right)} e^{\left(d x\right)}}{b^{3} d^{3} x^{6} + 3 \, a b^{2} d^{3} x^{4} + 3 \, a^{2} b d^{3} x^{2} + a^{3} d^{3}}\,{d x} + \frac{1}{2} \, \int -\frac{2 \, {\left(2 \, a d x - {\left(2 \, a d^{2} - 3 \, b\right)} x^{2} - a\right)} e^{\left(-d x\right)}}{b^{3} d^{3} x^{6} e^{c} + 3 \, a b^{2} d^{3} x^{4} e^{c} + 3 \, a^{2} b d^{3} x^{2} e^{c} + a^{3} d^{3} e^{c}}\,{d x}"," ",0,"1/2*((d^2*x^3*e^(2*c) + d*x^2*e^(2*c) + 2*x*e^(2*c))*e^(d*x) - (d^2*x^3 - d*x^2 + 2*x)*e^(-d*x))/(b^2*d^3*x^4*e^c + 2*a*b*d^3*x^2*e^c + a^2*d^3*e^c) - 1/2*integrate(2*(2*a*d*x*e^c + (2*a*d^2*e^c - 3*b*e^c)*x^2 + a*e^c)*e^(d*x)/(b^3*d^3*x^6 + 3*a*b^2*d^3*x^4 + 3*a^2*b*d^3*x^2 + a^3*d^3), x) + 1/2*integrate(-2*(2*a*d*x - (2*a*d^2 - 3*b)*x^2 - a)*e^(-d*x)/(b^3*d^3*x^6*e^c + 3*a*b^2*d^3*x^4*e^c + 3*a^2*b*d^3*x^2*e^c + a^3*d^3*e^c), x)","F",0
67,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(d x^{2} e^{\left(2 \, c\right)} + 2 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{2} - 2 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{2} d^{2} x^{4} e^{c} + 2 \, a b d^{2} x^{2} e^{c} + a^{2} d^{2} e^{c}\right)}} + \frac{1}{2} \, \int -\frac{2 \, {\left(2 \, a d x e^{c} - 3 \, b x^{2} e^{c} + a e^{c}\right)} e^{\left(d x\right)}}{b^{3} d^{2} x^{6} + 3 \, a b^{2} d^{2} x^{4} + 3 \, a^{2} b d^{2} x^{2} + a^{3} d^{2}}\,{d x} + \frac{1}{2} \, \int \frac{2 \, {\left(2 \, a d x + 3 \, b x^{2} - a\right)} e^{\left(-d x\right)}}{b^{3} d^{2} x^{6} e^{c} + 3 \, a b^{2} d^{2} x^{4} e^{c} + 3 \, a^{2} b d^{2} x^{2} e^{c} + a^{3} d^{2} e^{c}}\,{d x}"," ",0,"1/2*((d*x^2*e^(2*c) + 2*x*e^(2*c))*e^(d*x) - (d*x^2 - 2*x)*e^(-d*x))/(b^2*d^2*x^4*e^c + 2*a*b*d^2*x^2*e^c + a^2*d^2*e^c) + 1/2*integrate(-2*(2*a*d*x*e^c - 3*b*x^2*e^c + a*e^c)*e^(d*x)/(b^3*d^2*x^6 + 3*a*b^2*d^2*x^4 + 3*a^2*b*d^2*x^2 + a^3*d^2), x) + 1/2*integrate(2*(2*a*d*x + 3*b*x^2 - a)*e^(-d*x)/(b^3*d^2*x^6*e^c + 3*a*b^2*d^2*x^4*e^c + 3*a^2*b*d^2*x^2*e^c + a^3*d^2*e^c), x)","F",0
68,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{x e^{\left(d x + 2 \, c\right)} - x e^{\left(-d x\right)}}{2 \, {\left(b^{2} d x^{4} e^{c} + 2 \, a b d x^{2} e^{c} + a^{2} d e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(3 \, b x^{2} e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{b^{3} d x^{6} + 3 \, a b^{2} d x^{4} + 3 \, a^{2} b d x^{2} + a^{3} d}\,{d x} - \frac{1}{2} \, \int \frac{{\left(3 \, b x^{2} - a\right)} e^{\left(-d x\right)}}{b^{3} d x^{6} e^{c} + 3 \, a b^{2} d x^{4} e^{c} + 3 \, a^{2} b d x^{2} e^{c} + a^{3} d e^{c}}\,{d x}"," ",0,"1/2*(x*e^(d*x + 2*c) - x*e^(-d*x))/(b^2*d*x^4*e^c + 2*a*b*d*x^2*e^c + a^2*d*e^c) + 1/2*integrate((3*b*x^2*e^c - a*e^c)*e^(d*x)/(b^3*d*x^6 + 3*a*b^2*d*x^4 + 3*a^2*b*d*x^2 + a^3*d), x) - 1/2*integrate((3*b*x^2 - a)*e^(-d*x)/(b^3*d*x^6*e^c + 3*a*b^2*d*x^4*e^c + 3*a^2*b*d*x^2*e^c + a^3*d*e^c), x)","F",0
69,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\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=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2} x}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^2 + a)^2*x), x)","F",0
71,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x^2+a)^2,x, algorithm=""maxima"")","\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=""maxima"")","\frac{{\left(d^{2} x^{3} e^{\left(2 \, c\right)} + 3 \, d x^{2} e^{\left(2 \, c\right)} + 12 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d^{2} x^{3} - 3 \, d x^{2} + 12 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{3} x^{6} e^{c} + 3 \, a b^{2} d^{3} x^{4} e^{c} + 3 \, a^{2} b d^{3} x^{2} e^{c} + a^{3} d^{3} e^{c}\right)}} - \frac{1}{2} \, \int \frac{6 \, {\left(3 \, a d x e^{c} + {\left(a d^{2} e^{c} - 10 \, b e^{c}\right)} x^{2} + 2 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d^{3} x^{8} + 4 \, a b^{3} d^{3} x^{6} + 6 \, a^{2} b^{2} d^{3} x^{4} + 4 \, a^{3} b d^{3} x^{2} + a^{4} d^{3}}\,{d x} + \frac{1}{2} \, \int -\frac{6 \, {\left(3 \, a d x - {\left(a d^{2} - 10 \, b\right)} x^{2} - 2 \, a\right)} e^{\left(-d x\right)}}{b^{4} d^{3} x^{8} e^{c} + 4 \, a b^{3} d^{3} x^{6} e^{c} + 6 \, a^{2} b^{2} d^{3} x^{4} e^{c} + 4 \, a^{3} b d^{3} x^{2} e^{c} + a^{4} d^{3} e^{c}}\,{d x}"," ",0,"1/2*((d^2*x^3*e^(2*c) + 3*d*x^2*e^(2*c) + 12*x*e^(2*c))*e^(d*x) - (d^2*x^3 - 3*d*x^2 + 12*x)*e^(-d*x))/(b^3*d^3*x^6*e^c + 3*a*b^2*d^3*x^4*e^c + 3*a^2*b*d^3*x^2*e^c + a^3*d^3*e^c) - 1/2*integrate(6*(3*a*d*x*e^c + (a*d^2*e^c - 10*b*e^c)*x^2 + 2*a*e^c)*e^(d*x)/(b^4*d^3*x^8 + 4*a*b^3*d^3*x^6 + 6*a^2*b^2*d^3*x^4 + 4*a^3*b*d^3*x^2 + a^4*d^3), x) + 1/2*integrate(-6*(3*a*d*x - (a*d^2 - 10*b)*x^2 - 2*a)*e^(-d*x)/(b^4*d^3*x^8*e^c + 4*a*b^3*d^3*x^6*e^c + 6*a^2*b^2*d^3*x^4*e^c + 4*a^3*b*d^3*x^2*e^c + a^4*d^3*e^c), x)","F",0
73,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(d x^{2} e^{\left(2 \, c\right)} + 4 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{2} - 4 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{2} x^{6} e^{c} + 3 \, a b^{2} d^{2} x^{4} e^{c} + 3 \, a^{2} b d^{2} x^{2} e^{c} + a^{3} d^{2} e^{c}\right)}} + \frac{1}{2} \, \int -\frac{2 \, {\left(3 \, a d x e^{c} - 10 \, b x^{2} e^{c} + 2 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d^{2} x^{8} + 4 \, a b^{3} d^{2} x^{6} + 6 \, a^{2} b^{2} d^{2} x^{4} + 4 \, a^{3} b d^{2} x^{2} + a^{4} d^{2}}\,{d x} + \frac{1}{2} \, \int \frac{2 \, {\left(3 \, a d x + 10 \, b x^{2} - 2 \, a\right)} e^{\left(-d x\right)}}{b^{4} d^{2} x^{8} e^{c} + 4 \, a b^{3} d^{2} x^{6} e^{c} + 6 \, a^{2} b^{2} d^{2} x^{4} e^{c} + 4 \, a^{3} b d^{2} x^{2} e^{c} + a^{4} d^{2} e^{c}}\,{d x}"," ",0,"1/2*((d*x^2*e^(2*c) + 4*x*e^(2*c))*e^(d*x) - (d*x^2 - 4*x)*e^(-d*x))/(b^3*d^2*x^6*e^c + 3*a*b^2*d^2*x^4*e^c + 3*a^2*b*d^2*x^2*e^c + a^3*d^2*e^c) + 1/2*integrate(-2*(3*a*d*x*e^c - 10*b*x^2*e^c + 2*a*e^c)*e^(d*x)/(b^4*d^2*x^8 + 4*a*b^3*d^2*x^6 + 6*a^2*b^2*d^2*x^4 + 4*a^3*b*d^2*x^2 + a^4*d^2), x) + 1/2*integrate(2*(3*a*d*x + 10*b*x^2 - 2*a)*e^(-d*x)/(b^4*d^2*x^8*e^c + 4*a*b^3*d^2*x^6*e^c + 6*a^2*b^2*d^2*x^4*e^c + 4*a^3*b*d^2*x^2*e^c + a^4*d^2*e^c), x)","F",0
74,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{x e^{\left(d x + 2 \, c\right)} - x e^{\left(-d x\right)}}{2 \, {\left(b^{3} d x^{6} e^{c} + 3 \, a b^{2} d x^{4} e^{c} + 3 \, a^{2} b d x^{2} e^{c} + a^{3} d e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(5 \, b x^{2} e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d x^{8} + 4 \, a b^{3} d x^{6} + 6 \, a^{2} b^{2} d x^{4} + 4 \, a^{3} b d x^{2} + a^{4} d}\,{d x} - \frac{1}{2} \, \int \frac{{\left(5 \, b x^{2} - a\right)} e^{\left(-d x\right)}}{b^{4} d x^{8} e^{c} + 4 \, a b^{3} d x^{6} e^{c} + 6 \, a^{2} b^{2} d x^{4} e^{c} + 4 \, a^{3} b d x^{2} e^{c} + a^{4} d e^{c}}\,{d x}"," ",0,"1/2*(x*e^(d*x + 2*c) - x*e^(-d*x))/(b^3*d*x^6*e^c + 3*a*b^2*d*x^4*e^c + 3*a^2*b*d*x^2*e^c + a^3*d*e^c) + 1/2*integrate((5*b*x^2*e^c - a*e^c)*e^(d*x)/(b^4*d*x^8 + 4*a*b^3*d*x^6 + 6*a^2*b^2*d*x^4 + 4*a^3*b*d*x^2 + a^4*d), x) - 1/2*integrate((5*b*x^2 - a)*e^(-d*x)/(b^4*d*x^8*e^c + 4*a*b^3*d*x^6*e^c + 6*a^2*b^2*d*x^4*e^c + 4*a^3*b*d*x^2*e^c + a^4*d*e^c), x)","F",0
75,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^2+a)^3,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
79,1,268,0,1.089728," ","integrate(x^3*(b*x^3+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{56} \, d {\left(\frac{7 \, {\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{5}} + \frac{7 \, {\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} a e^{\left(-d x - c\right)}}{d^{5}} + \frac{4 \, {\left(d^{7} x^{7} e^{c} - 7 \, d^{6} x^{6} e^{c} + 42 \, d^{5} x^{5} e^{c} - 210 \, d^{4} x^{4} e^{c} + 840 \, d^{3} x^{3} e^{c} - 2520 \, d^{2} x^{2} e^{c} + 5040 \, d x e^{c} - 5040 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{8}} + \frac{4 \, {\left(d^{7} x^{7} + 7 \, d^{6} x^{6} + 42 \, d^{5} x^{5} + 210 \, d^{4} x^{4} + 840 \, d^{3} x^{3} + 2520 \, d^{2} x^{2} + 5040 \, d x + 5040\right)} b e^{\left(-d x - c\right)}}{d^{8}}\right)} + \frac{1}{28} \, {\left(4 \, b x^{7} + 7 \, a x^{4}\right)} \cosh\left(d x + c\right)"," ",0,"-1/56*d*(7*(d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*a*e^(d*x)/d^5 + 7*(d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*a*e^(-d*x - c)/d^5 + 4*(d^7*x^7*e^c - 7*d^6*x^6*e^c + 42*d^5*x^5*e^c - 210*d^4*x^4*e^c + 840*d^3*x^3*e^c - 2520*d^2*x^2*e^c + 5040*d*x*e^c - 5040*e^c)*b*e^(d*x)/d^8 + 4*(d^7*x^7 + 7*d^6*x^6 + 42*d^5*x^5 + 210*d^4*x^4 + 840*d^3*x^3 + 2520*d^2*x^2 + 5040*d*x + 5040)*b*e^(-d*x - c)/d^8) + 1/28*(4*b*x^7 + 7*a*x^4)*cosh(d*x + c)","A",0
80,1,267,0,0.340124," ","integrate(x^2*(b*x^3+a)*cosh(d*x+c),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{2} \cosh\left(d x + c\right)}{6 \, b} - \frac{{\left(\frac{a^{2} e^{\left(d x + c\right)}}{d} + \frac{a^{2} e^{\left(-d x - c\right)}}{d} + \frac{2 \, {\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{4}} + \frac{2 \, {\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a b e^{\left(-d x - c\right)}}{d^{4}} + \frac{{\left(d^{6} x^{6} e^{c} - 6 \, d^{5} x^{5} e^{c} + 30 \, d^{4} x^{4} e^{c} - 120 \, d^{3} x^{3} e^{c} + 360 \, d^{2} x^{2} e^{c} - 720 \, d x e^{c} + 720 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{7}} + \frac{{\left(d^{6} x^{6} + 6 \, d^{5} x^{5} + 30 \, d^{4} x^{4} + 120 \, d^{3} x^{3} + 360 \, d^{2} x^{2} + 720 \, d x + 720\right)} b^{2} e^{\left(-d x - c\right)}}{d^{7}}\right)} d}{12 \, b}"," ",0,"1/6*(b*x^3 + a)^2*cosh(d*x + c)/b - 1/12*(a^2*e^(d*x + c)/d + a^2*e^(-d*x - c)/d + 2*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a*b*e^(d*x)/d^4 + 2*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a*b*e^(-d*x - c)/d^4 + (d^6*x^6*e^c - 6*d^5*x^5*e^c + 30*d^4*x^4*e^c - 120*d^3*x^3*e^c + 360*d^2*x^2*e^c - 720*d*x*e^c + 720*e^c)*b^2*e^(d*x)/d^7 + (d^6*x^6 + 6*d^5*x^5 + 30*d^4*x^4 + 120*d^3*x^3 + 360*d^2*x^2 + 720*d*x + 720)*b^2*e^(-d*x - c)/d^7)*d/b","B",0
81,1,196,0,0.345528," ","integrate(x*(b*x^3+a)*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{20} \, d {\left(\frac{5 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a e^{\left(d x\right)}}{d^{3}} + \frac{5 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a e^{\left(-d x - c\right)}}{d^{3}} + \frac{2 \, {\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{6}} + \frac{2 \, {\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} b e^{\left(-d x - c\right)}}{d^{6}}\right)} + \frac{1}{10} \, {\left(2 \, b x^{5} + 5 \, a x^{2}\right)} \cosh\left(d x + c\right)"," ",0,"-1/20*d*(5*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a*e^(d*x)/d^3 + 5*(d^2*x^2 + 2*d*x + 2)*a*e^(-d*x - c)/d^3 + 2*(d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*b*e^(d*x)/d^6 + 2*(d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*b*e^(-d*x - c)/d^6) + 1/10*(2*b*x^5 + 5*a*x^2)*cosh(d*x + c)","B",0
82,1,104,0,0.340893," ","integrate((b*x^3+a)*cosh(d*x+c),x, algorithm=""maxima"")","\frac{a e^{\left(d x + c\right)}}{2 \, d} - \frac{a e^{\left(-d x - c\right)}}{2 \, d} + \frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} b e^{\left(d x\right)}}{2 \, d^{4}} - \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} b e^{\left(-d x - c\right)}}{2 \, d^{4}}"," ",0,"1/2*a*e^(d*x + c)/d - 1/2*a*e^(-d*x - c)/d + 1/2*(d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*b*e^(d*x)/d^4 - 1/2*(d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*b*e^(-d*x - c)/d^4","A",0
83,1,140,0,0.396856," ","integrate((b*x^3+a)*cosh(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(b {\left(\frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} e^{\left(-d x - c\right)}}{d^{4}}\right)} + \frac{2 \, a \cosh\left(d x + c\right) \log\left(x^{3}\right)}{d} - \frac{3 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a}{d}\right)} d + \frac{1}{3} \, {\left(b x^{3} + a \log\left(x^{3}\right)\right)} \cosh\left(d x + c\right)"," ",0,"-1/6*(b*((d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*e^(-d*x - c)/d^4) + 2*a*cosh(d*x + c)*log(x^3)/d - 3*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a/d)*d + 1/3*(b*x^3 + a*log(x^3))*cosh(d*x + c)","B",0
84,1,102,0,0.398429," ","integrate((b*x^3+a)*cosh(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(2 \, a {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 2 \, a {\rm Ei}\left(d x\right) e^{c} + \frac{{\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} b e^{\left(d x\right)}}{d^{3}} + \frac{{\left(d^{2} x^{2} + 2 \, d x + 2\right)} b e^{\left(-d x - c\right)}}{d^{3}}\right)} d + \frac{1}{2} \, {\left(b x^{2} - \frac{2 \, a}{x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/4*(2*a*Ei(-d*x)*e^(-c) - 2*a*Ei(d*x)*e^c + (d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*b*e^(d*x)/d^3 + (d^2*x^2 + 2*d*x + 2)*b*e^(-d*x - c)/d^3)*d + 1/2*(b*x^2 - 2*a/x)*cosh(d*x + c)","A",0
85,1,87,0,0.395547," ","integrate((b*x^3+a)*cosh(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(a d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + a d e^{c} \Gamma\left(-1, -d x\right) - \frac{2 \, {\left(d x e^{c} - e^{c}\right)} b e^{\left(d x\right)}}{d^{2}} - \frac{2 \, {\left(d x + 1\right)} b e^{\left(-d x - c\right)}}{d^{2}}\right)} d + \frac{1}{2} \, {\left(2 \, b x - \frac{a}{x^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/4*(a*d*e^(-c)*gamma(-1, d*x) + a*d*e^c*gamma(-1, -d*x) - 2*(d*x*e^c - e^c)*b*e^(d*x)/d^2 - 2*(d*x + 1)*b*e^(-d*x - c)/d^2)*d + 1/2*(2*b*x - a/x^2)*cosh(d*x + c)","A",0
86,1,95,0,0.419230," ","integrate((b*x^3+a)*cosh(d*x+c)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left({\left(d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - d^{2} e^{c} \Gamma\left(-2, -d x\right)\right)} a - \frac{2 \, b \cosh\left(d x + c\right) \log\left(x^{3}\right)}{d} + \frac{3 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} b}{d}\right)} d + \frac{1}{3} \, {\left(b \log\left(x^{3}\right) - \frac{a}{x^{3}}\right)} \cosh\left(d x + c\right)"," ",0,"1/6*((d^2*e^(-c)*gamma(-2, d*x) - d^2*e^c*gamma(-2, -d*x))*a - 2*b*cosh(d*x + c)*log(x^3)/d + 3*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*b/d)*d + 1/3*(b*log(x^3) - a/x^3)*cosh(d*x + c)","A",0
87,1,383,0,0.346431," ","integrate(x*(b*x^3+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","-\frac{1}{80} \, d {\left(\frac{20 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a^{2} e^{\left(d x\right)}}{d^{3}} + \frac{20 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a^{2} e^{\left(-d x - c\right)}}{d^{3}} + \frac{16 \, {\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{6}} + \frac{16 \, {\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} a b e^{\left(-d x - c\right)}}{d^{6}} + \frac{5 \, {\left(d^{8} x^{8} e^{c} - 8 \, d^{7} x^{7} e^{c} + 56 \, d^{6} x^{6} e^{c} - 336 \, d^{5} x^{5} e^{c} + 1680 \, d^{4} x^{4} e^{c} - 6720 \, d^{3} x^{3} e^{c} + 20160 \, d^{2} x^{2} e^{c} - 40320 \, d x e^{c} + 40320 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{9}} + \frac{5 \, {\left(d^{8} x^{8} + 8 \, d^{7} x^{7} + 56 \, d^{6} x^{6} + 336 \, d^{5} x^{5} + 1680 \, d^{4} x^{4} + 6720 \, d^{3} x^{3} + 20160 \, d^{2} x^{2} + 40320 \, d x + 40320\right)} b^{2} e^{\left(-d x - c\right)}}{d^{9}}\right)} + \frac{1}{40} \, {\left(5 \, b^{2} x^{8} + 16 \, a b x^{5} + 20 \, a^{2} x^{2}\right)} \cosh\left(d x + c\right)"," ",0,"-1/80*d*(20*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a^2*e^(d*x)/d^3 + 20*(d^2*x^2 + 2*d*x + 2)*a^2*e^(-d*x - c)/d^3 + 16*(d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*a*b*e^(d*x)/d^6 + 16*(d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*a*b*e^(-d*x - c)/d^6 + 5*(d^8*x^8*e^c - 8*d^7*x^7*e^c + 56*d^6*x^6*e^c - 336*d^5*x^5*e^c + 1680*d^4*x^4*e^c - 6720*d^3*x^3*e^c + 20160*d^2*x^2*e^c - 40320*d*x*e^c + 40320*e^c)*b^2*e^(d*x)/d^9 + 5*(d^8*x^8 + 8*d^7*x^7 + 56*d^6*x^6 + 336*d^5*x^5 + 1680*d^4*x^4 + 6720*d^3*x^3 + 20160*d^2*x^2 + 40320*d*x + 40320)*b^2*e^(-d*x - c)/d^9) + 1/40*(5*b^2*x^8 + 16*a*b*x^5 + 20*a^2*x^2)*cosh(d*x + c)","A",0
88,1,243,0,0.345087," ","integrate((b*x^3+a)^2*cosh(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} e^{\left(d x + c\right)}}{2 \, d} - \frac{a^{2} e^{\left(-d x - c\right)}}{2 \, d} + \frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{4}} - \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} a b e^{\left(-d x - c\right)}}{d^{4}} + \frac{{\left(d^{6} x^{6} e^{c} - 6 \, d^{5} x^{5} e^{c} + 30 \, d^{4} x^{4} e^{c} - 120 \, d^{3} x^{3} e^{c} + 360 \, d^{2} x^{2} e^{c} - 720 \, d x e^{c} + 720 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{2 \, d^{7}} - \frac{{\left(d^{6} x^{6} + 6 \, d^{5} x^{5} + 30 \, d^{4} x^{4} + 120 \, d^{3} x^{3} + 360 \, d^{2} x^{2} + 720 \, d x + 720\right)} b^{2} e^{\left(-d x - c\right)}}{2 \, d^{7}}"," ",0,"1/2*a^2*e^(d*x + c)/d - 1/2*a^2*e^(-d*x - c)/d + (d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*a*b*e^(d*x)/d^4 - (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*a*b*e^(-d*x - c)/d^4 + 1/2*(d^6*x^6*e^c - 6*d^5*x^5*e^c + 30*d^4*x^4*e^c - 120*d^3*x^3*e^c + 360*d^2*x^2*e^c - 720*d*x*e^c + 720*e^c)*b^2*e^(d*x)/d^7 - 1/2*(d^6*x^6 + 6*d^5*x^5 + 30*d^4*x^4 + 120*d^3*x^3 + 360*d^2*x^2 + 720*d*x + 720)*b^2*e^(-d*x - c)/d^7","A",0
89,1,289,0,0.410374," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(4 \, a b {\left(\frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} e^{\left(-d x - c\right)}}{d^{4}}\right)} + b^{2} {\left(\frac{{\left(d^{6} x^{6} e^{c} - 6 \, d^{5} x^{5} e^{c} + 30 \, d^{4} x^{4} e^{c} - 120 \, d^{3} x^{3} e^{c} + 360 \, d^{2} x^{2} e^{c} - 720 \, d x e^{c} + 720 \, e^{c}\right)} e^{\left(d x\right)}}{d^{7}} + \frac{{\left(d^{6} x^{6} + 6 \, d^{5} x^{5} + 30 \, d^{4} x^{4} + 120 \, d^{3} x^{3} + 360 \, d^{2} x^{2} + 720 \, d x + 720\right)} e^{\left(-d x - c\right)}}{d^{7}}\right)} + \frac{4 \, a^{2} \cosh\left(d x + c\right) \log\left(x^{3}\right)}{d} - \frac{6 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a^{2}}{d}\right)} d + \frac{1}{6} \, {\left(b^{2} x^{6} + 4 \, a b x^{3} + 2 \, a^{2} \log\left(x^{3}\right)\right)} \cosh\left(d x + c\right)"," ",0,"-1/12*(4*a*b*((d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*e^(-d*x - c)/d^4) + b^2*((d^6*x^6*e^c - 6*d^5*x^5*e^c + 30*d^4*x^4*e^c - 120*d^3*x^3*e^c + 360*d^2*x^2*e^c - 720*d*x*e^c + 720*e^c)*e^(d*x)/d^7 + (d^6*x^6 + 6*d^5*x^5 + 30*d^4*x^4 + 120*d^3*x^3 + 360*d^2*x^2 + 720*d*x + 720)*e^(-d*x - c)/d^7) + 4*a^2*cosh(d*x + c)*log(x^3)/d - 6*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a^2/d)*d + 1/6*(b^2*x^6 + 4*a*b*x^3 + 2*a^2*log(x^3))*cosh(d*x + c)","A",0
90,1,235,0,0.402507," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{10} \, {\left(5 \, a^{2} {\rm Ei}\left(-d x\right) e^{\left(-c\right)} - 5 \, a^{2} {\rm Ei}\left(d x\right) e^{c} + \frac{5 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} a b e^{\left(d x\right)}}{d^{3}} + \frac{5 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} a b e^{\left(-d x - c\right)}}{d^{3}} + \frac{{\left(d^{5} x^{5} e^{c} - 5 \, d^{4} x^{4} e^{c} + 20 \, d^{3} x^{3} e^{c} - 60 \, d^{2} x^{2} e^{c} + 120 \, d x e^{c} - 120 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{6}} + \frac{{\left(d^{5} x^{5} + 5 \, d^{4} x^{4} + 20 \, d^{3} x^{3} + 60 \, d^{2} x^{2} + 120 \, d x + 120\right)} b^{2} e^{\left(-d x - c\right)}}{d^{6}}\right)} d + \frac{1}{5} \, {\left(b^{2} x^{5} + 5 \, a b x^{2} - \frac{5 \, a^{2}}{x}\right)} \cosh\left(d x + c\right)"," ",0,"-1/10*(5*a^2*Ei(-d*x)*e^(-c) - 5*a^2*Ei(d*x)*e^c + 5*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*a*b*e^(d*x)/d^3 + 5*(d^2*x^2 + 2*d*x + 2)*a*b*e^(-d*x - c)/d^3 + (d^5*x^5*e^c - 5*d^4*x^4*e^c + 20*d^3*x^3*e^c - 60*d^2*x^2*e^c + 120*d*x*e^c - 120*e^c)*b^2*e^(d*x)/d^6 + (d^5*x^5 + 5*d^4*x^4 + 20*d^3*x^3 + 60*d^2*x^2 + 120*d*x + 120)*b^2*e^(-d*x - c)/d^6)*d + 1/5*(b^2*x^5 + 5*a*b*x^2 - 5*a^2/x)*cosh(d*x + c)","A",0
91,1,203,0,0.393866," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(2 \, a^{2} d e^{\left(-c\right)} \Gamma\left(-1, d x\right) + 2 \, a^{2} d e^{c} \Gamma\left(-1, -d x\right) - \frac{8 \, {\left(d x e^{c} - e^{c}\right)} a b e^{\left(d x\right)}}{d^{2}} - \frac{8 \, {\left(d x + 1\right)} a b e^{\left(-d x - c\right)}}{d^{2}} - \frac{{\left(d^{4} x^{4} e^{c} - 4 \, d^{3} x^{3} e^{c} + 12 \, d^{2} x^{2} e^{c} - 24 \, d x e^{c} + 24 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{5}} - \frac{{\left(d^{4} x^{4} + 4 \, d^{3} x^{3} + 12 \, d^{2} x^{2} + 24 \, d x + 24\right)} b^{2} e^{\left(-d x - c\right)}}{d^{5}}\right)} d + \frac{1}{4} \, {\left(b^{2} x^{4} + 8 \, a b x - \frac{2 \, a^{2}}{x^{2}}\right)} \cosh\left(d x + c\right)"," ",0,"1/8*(2*a^2*d*e^(-c)*gamma(-1, d*x) + 2*a^2*d*e^c*gamma(-1, -d*x) - 8*(d*x*e^c - e^c)*a*b*e^(d*x)/d^2 - 8*(d*x + 1)*a*b*e^(-d*x - c)/d^2 - (d^4*x^4*e^c - 4*d^3*x^3*e^c + 12*d^2*x^2*e^c - 24*d*x*e^c + 24*e^c)*b^2*e^(d*x)/d^5 - (d^4*x^4 + 4*d^3*x^3 + 12*d^2*x^2 + 24*d*x + 24)*b^2*e^(-d*x - c)/d^5)*d + 1/4*(b^2*x^4 + 8*a*b*x - 2*a^2/x^2)*cosh(d*x + c)","A",0
92,1,188,0,0.438588," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left({\left(d^{2} e^{\left(-c\right)} \Gamma\left(-2, d x\right) - d^{2} e^{c} \Gamma\left(-2, -d x\right)\right)} a^{2} - b^{2} {\left(\frac{{\left(d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)}}{d^{4}} + \frac{{\left(d^{3} x^{3} + 3 \, d^{2} x^{2} + 6 \, d x + 6\right)} e^{\left(-d x - c\right)}}{d^{4}}\right)} - \frac{4 \, a b \cosh\left(d x + c\right) \log\left(x^{3}\right)}{d} + \frac{6 \, {\left({\rm Ei}\left(-d x\right) e^{\left(-c\right)} + {\rm Ei}\left(d x\right) e^{c}\right)} a b}{d}\right)} d + \frac{1}{3} \, {\left(b^{2} x^{3} + 2 \, a b \log\left(x^{3}\right) - \frac{a^{2}}{x^{3}}\right)} \cosh\left(d x + c\right)"," ",0,"1/6*((d^2*e^(-c)*gamma(-2, d*x) - d^2*e^c*gamma(-2, -d*x))*a^2 - b^2*((d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x)/d^4 + (d^3*x^3 + 3*d^2*x^2 + 6*d*x + 6)*e^(-d*x - c)/d^4) - 4*a*b*cosh(d*x + c)*log(x^3)/d + 6*(Ei(-d*x)*e^(-c) + Ei(d*x)*e^c)*a*b/d)*d + 1/3*(b^2*x^3 + 2*a*b*log(x^3) - a^2/x^3)*cosh(d*x + c)","A",0
93,1,154,0,0.459107," ","integrate((b*x^3+a)^2*cosh(d*x+c)/x^5,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(a^{2} d^{3} e^{\left(-c\right)} \Gamma\left(-3, d x\right) + a^{2} d^{3} e^{c} \Gamma\left(-3, -d x\right) - 8 \, a b {\rm Ei}\left(-d x\right) e^{\left(-c\right)} + 8 \, a b {\rm Ei}\left(d x\right) e^{c} - \frac{2 \, {\left(d^{2} x^{2} e^{c} - 2 \, d x e^{c} + 2 \, e^{c}\right)} b^{2} e^{\left(d x\right)}}{d^{3}} - \frac{2 \, {\left(d^{2} x^{2} + 2 \, d x + 2\right)} b^{2} e^{\left(-d x - c\right)}}{d^{3}}\right)} d + \frac{1}{4} \, {\left(2 \, b^{2} x^{2} - \frac{8 \, a b x^{3} + a^{2}}{x^{4}}\right)} \cosh\left(d x + c\right)"," ",0,"1/8*(a^2*d^3*e^(-c)*gamma(-3, d*x) + a^2*d^3*e^c*gamma(-3, -d*x) - 8*a*b*Ei(-d*x)*e^(-c) + 8*a*b*Ei(d*x)*e^c - 2*(d^2*x^2*e^c - 2*d*x*e^c + 2*e^c)*b^2*e^(d*x)/d^3 - 2*(d^2*x^2 + 2*d*x + 2)*b^2*e^(-d*x - c)/d^3)*d + 1/4*(2*b^2*x^2 - (8*a*b*x^3 + a^2)/x^4)*cosh(d*x + c)","A",0
94,-1,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\frac{{\left(d x^{2} e^{\left(2 \, c\right)} + x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{2} - x\right)} e^{\left(-d x\right)}}{2 \, {\left(b d^{2} x^{3} e^{c} + a d^{2} e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(2 \, b x^{3} e^{c} - 3 \, a d x e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{b^{2} d^{2} x^{6} + 2 \, a b d^{2} x^{3} + a^{2} d^{2}}\,{d x} + \frac{1}{2} \, \int \frac{{\left(2 \, b x^{3} + 3 \, a d x - a\right)} e^{\left(-d x\right)}}{b^{2} d^{2} x^{6} e^{c} + 2 \, a b d^{2} x^{3} e^{c} + a^{2} d^{2} e^{c}}\,{d x}"," ",0,"1/2*((d*x^2*e^(2*c) + x*e^(2*c))*e^(d*x) - (d*x^2 - x)*e^(-d*x))/(b*d^2*x^3*e^c + a*d^2*e^c) + 1/2*integrate((2*b*x^3*e^c - 3*a*d*x*e^c - a*e^c)*e^(d*x)/(b^2*d^2*x^6 + 2*a*b*d^2*x^3 + a^2*d^2), x) + 1/2*integrate((2*b*x^3 + 3*a*d*x - a)*e^(-d*x)/(b^2*d^2*x^6*e^c + 2*a*b*d^2*x^3*e^c + a^2*d^2*e^c), x)","F",0
97,-1,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,0,0,0,0.000000," ","integrate(cosh(d*x+c)/x/(b*x^3+a),x, algorithm=""maxima"")","\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,-1,0,0,0.000000," ","integrate(cosh(d*x+c)/x^2/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(cosh(d*x+c)/x^3/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(d^{2} x^{3} e^{\left(2 \, c\right)} + 3 \, d x^{2} e^{\left(2 \, c\right)} + 12 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d^{2} x^{3} - 3 \, d x^{2} + 12 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{2} d^{3} x^{6} e^{c} + 2 \, a b d^{3} x^{3} e^{c} + a^{2} d^{3} e^{c}\right)}} + \frac{1}{2} \, \int -\frac{6 \, {\left(a d^{2} x^{2} e^{c} - 10 \, b x^{3} e^{c} + 3 \, a d x e^{c} + 2 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{3} d^{3} x^{9} + 3 \, a b^{2} d^{3} x^{6} + 3 \, a^{2} b d^{3} x^{3} + a^{3} d^{3}}\,{d x} - \frac{1}{2} \, \int -\frac{6 \, {\left(a d^{2} x^{2} - 10 \, b x^{3} - 3 \, a d x + 2 \, a\right)} e^{\left(-d x\right)}}{b^{3} d^{3} x^{9} e^{c} + 3 \, a b^{2} d^{3} x^{6} e^{c} + 3 \, a^{2} b d^{3} x^{3} e^{c} + a^{3} d^{3} e^{c}}\,{d x}"," ",0,"1/2*((d^2*x^3*e^(2*c) + 3*d*x^2*e^(2*c) + 12*x*e^(2*c))*e^(d*x) - (d^2*x^3 - 3*d*x^2 + 12*x)*e^(-d*x))/(b^2*d^3*x^6*e^c + 2*a*b*d^3*x^3*e^c + a^2*d^3*e^c) + 1/2*integrate(-6*(a*d^2*x^2*e^c - 10*b*x^3*e^c + 3*a*d*x*e^c + 2*a*e^c)*e^(d*x)/(b^3*d^3*x^9 + 3*a*b^2*d^3*x^6 + 3*a^2*b*d^3*x^3 + a^3*d^3), x) - 1/2*integrate(-6*(a*d^2*x^2 - 10*b*x^3 - 3*a*d*x + 2*a)*e^(-d*x)/(b^3*d^3*x^9*e^c + 3*a*b^2*d^3*x^6*e^c + 3*a^2*b*d^3*x^3*e^c + a^3*d^3*e^c), x)","F",0
103,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(d x^{2} e^{\left(2 \, c\right)} + 4 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{2} - 4 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{2} d^{2} x^{6} e^{c} + 2 \, a b d^{2} x^{3} e^{c} + a^{2} d^{2} e^{c}\right)}} + \frac{1}{2} \, \int \frac{2 \, {\left(10 \, b x^{3} e^{c} - 3 \, a d x e^{c} - 2 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{3} d^{2} x^{9} + 3 \, a b^{2} d^{2} x^{6} + 3 \, a^{2} b d^{2} x^{3} + a^{3} d^{2}}\,{d x} + \frac{1}{2} \, \int \frac{2 \, {\left(10 \, b x^{3} + 3 \, a d x - 2 \, a\right)} e^{\left(-d x\right)}}{b^{3} d^{2} x^{9} e^{c} + 3 \, a b^{2} d^{2} x^{6} e^{c} + 3 \, a^{2} b d^{2} x^{3} e^{c} + a^{3} d^{2} e^{c}}\,{d x}"," ",0,"1/2*((d*x^2*e^(2*c) + 4*x*e^(2*c))*e^(d*x) - (d*x^2 - 4*x)*e^(-d*x))/(b^2*d^2*x^6*e^c + 2*a*b*d^2*x^3*e^c + a^2*d^2*e^c) + 1/2*integrate(2*(10*b*x^3*e^c - 3*a*d*x*e^c - 2*a*e^c)*e^(d*x)/(b^3*d^2*x^9 + 3*a*b^2*d^2*x^6 + 3*a^2*b*d^2*x^3 + a^3*d^2), x) + 1/2*integrate(2*(10*b*x^3 + 3*a*d*x - 2*a)*e^(-d*x)/(b^3*d^2*x^9*e^c + 3*a*b^2*d^2*x^6*e^c + 3*a^2*b*d^2*x^3*e^c + a^3*d^2*e^c), x)","F",0
104,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{x e^{\left(d x + 2 \, c\right)} - x e^{\left(-d x\right)}}{2 \, {\left(b^{2} d x^{6} e^{c} + 2 \, a b d x^{3} e^{c} + a^{2} d e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(5 \, b x^{3} e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{b^{3} d x^{9} + 3 \, a b^{2} d x^{6} + 3 \, a^{2} b d x^{3} + a^{3} d}\,{d x} - \frac{1}{2} \, \int \frac{{\left(5 \, b x^{3} - a\right)} e^{\left(-d x\right)}}{b^{3} d x^{9} e^{c} + 3 \, a b^{2} d x^{6} e^{c} + 3 \, a^{2} b d x^{3} e^{c} + a^{3} d e^{c}}\,{d x}"," ",0,"1/2*(x*e^(d*x + 2*c) - x*e^(-d*x))/(b^2*d*x^6*e^c + 2*a*b*d*x^3*e^c + a^2*d*e^c) + 1/2*integrate((5*b*x^3*e^c - a*e^c)*e^(d*x)/(b^3*d*x^9 + 3*a*b^2*d*x^6 + 3*a^2*b*d*x^3 + a^3*d), x) - 1/2*integrate((5*b*x^3 - a)*e^(-d*x)/(b^3*d*x^9*e^c + 3*a*b^2*d*x^6*e^c + 3*a^2*b*d*x^3*e^c + a^3*d*e^c), x)","F",0
105,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(b*x^3+a)^2,x, algorithm=""maxima"")","\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=""maxima"")","\int \frac{\cosh\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2} x}\,{d x}"," ",0,"integrate(cosh(d*x + c)/((b*x^3 + a)^2*x), x)","F",0
107,0,0,0,0.000000," ","integrate(x^5*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(b d^{4} x^{5} e^{\left(2 \, c\right)} + 4 \, b d^{3} x^{4} e^{\left(2 \, c\right)} + 20 \, b d^{2} x^{3} e^{\left(2 \, c\right)} + 120 \, b d x^{2} e^{\left(2 \, c\right)} - 3 \, {\left(3 \, a d^{3} e^{\left(2 \, c\right)} - 280 \, b e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - {\left(b d^{4} x^{5} - 4 \, b d^{3} x^{4} + 20 \, b d^{2} x^{3} - 120 \, b d x^{2} + 3 \, {\left(3 \, a d^{3} + 280 \, b\right)} x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{4} d^{5} x^{9} e^{c} + 3 \, a b^{3} d^{5} x^{6} e^{c} + 3 \, a^{2} b^{2} d^{5} x^{3} e^{c} + a^{3} b d^{5} e^{c}\right)}} - \frac{1}{2} \, \int \frac{3 \, {\left(60 \, a b d^{2} x^{2} e^{c} - 3 \, a^{2} d^{3} e^{c} + 4 \, {\left(9 \, a b d^{3} e^{c} - 560 \, b^{2} e^{c}\right)} x^{3} + 280 \, a b e^{c} - 3 \, {\left(a^{2} d^{4} e^{c} - 120 \, a b d e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{5} d^{5} x^{12} + 4 \, a b^{4} d^{5} x^{9} + 6 \, a^{2} b^{3} d^{5} x^{6} + 4 \, a^{3} b^{2} d^{5} x^{3} + a^{4} b d^{5}}\,{d x} - \frac{1}{2} \, \int -\frac{3 \, {\left(60 \, a b d^{2} x^{2} + 3 \, a^{2} d^{3} - 4 \, {\left(9 \, a b d^{3} + 560 \, b^{2}\right)} x^{3} + 280 \, a b - 3 \, {\left(a^{2} d^{4} + 120 \, a b d\right)} x\right)} e^{\left(-d x\right)}}{b^{5} d^{5} x^{12} e^{c} + 4 \, a b^{4} d^{5} x^{9} e^{c} + 6 \, a^{2} b^{3} d^{5} x^{6} e^{c} + 4 \, a^{3} b^{2} d^{5} x^{3} e^{c} + a^{4} b d^{5} e^{c}}\,{d x}"," ",0,"1/2*((b*d^4*x^5*e^(2*c) + 4*b*d^3*x^4*e^(2*c) + 20*b*d^2*x^3*e^(2*c) + 120*b*d*x^2*e^(2*c) - 3*(3*a*d^3*e^(2*c) - 280*b*e^(2*c))*x)*e^(d*x) - (b*d^4*x^5 - 4*b*d^3*x^4 + 20*b*d^2*x^3 - 120*b*d*x^2 + 3*(3*a*d^3 + 280*b)*x)*e^(-d*x))/(b^4*d^5*x^9*e^c + 3*a*b^3*d^5*x^6*e^c + 3*a^2*b^2*d^5*x^3*e^c + a^3*b*d^5*e^c) - 1/2*integrate(3*(60*a*b*d^2*x^2*e^c - 3*a^2*d^3*e^c + 4*(9*a*b*d^3*e^c - 560*b^2*e^c)*x^3 + 280*a*b*e^c - 3*(a^2*d^4*e^c - 120*a*b*d*e^c)*x)*e^(d*x)/(b^5*d^5*x^12 + 4*a*b^4*d^5*x^9 + 6*a^2*b^3*d^5*x^6 + 4*a^3*b^2*d^5*x^3 + a^4*b*d^5), x) - 1/2*integrate(-3*(60*a*b*d^2*x^2 + 3*a^2*d^3 - 4*(9*a*b*d^3 + 560*b^2)*x^3 + 280*a*b - 3*(a^2*d^4 + 120*a*b*d)*x)*e^(-d*x)/(b^5*d^5*x^12*e^c + 4*a*b^4*d^5*x^9*e^c + 6*a^2*b^3*d^5*x^6*e^c + 4*a^3*b^2*d^5*x^3*e^c + a^4*b*d^5*e^c), x)","F",0
108,0,0,0,0.000000," ","integrate(x^4*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(d^{3} x^{4} e^{\left(2 \, c\right)} + 5 \, d^{2} x^{3} e^{\left(2 \, c\right)} + 30 \, d x^{2} e^{\left(2 \, c\right)} + 210 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d^{3} x^{4} - 5 \, d^{2} x^{3} + 30 \, d x^{2} - 210 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{4} x^{9} e^{c} + 3 \, a b^{2} d^{4} x^{6} e^{c} + 3 \, a^{2} b d^{4} x^{3} e^{c} + a^{3} d^{4} e^{c}\right)}} - \frac{1}{2} \, \int \frac{3 \, {\left(15 \, a d^{2} x^{2} e^{c} + {\left(3 \, a d^{3} e^{c} - 560 \, b e^{c}\right)} x^{3} + 90 \, a d x e^{c} + 70 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d^{4} x^{12} + 4 \, a b^{3} d^{4} x^{9} + 6 \, a^{2} b^{2} d^{4} x^{6} + 4 \, a^{3} b d^{4} x^{3} + a^{4} d^{4}}\,{d x} + \frac{1}{2} \, \int -\frac{3 \, {\left(15 \, a d^{2} x^{2} - {\left(3 \, a d^{3} + 560 \, b\right)} x^{3} - 90 \, a d x + 70 \, a\right)} e^{\left(-d x\right)}}{b^{4} d^{4} x^{12} e^{c} + 4 \, a b^{3} d^{4} x^{9} e^{c} + 6 \, a^{2} b^{2} d^{4} x^{6} e^{c} + 4 \, a^{3} b d^{4} x^{3} e^{c} + a^{4} d^{4} e^{c}}\,{d x}"," ",0,"1/2*((d^3*x^4*e^(2*c) + 5*d^2*x^3*e^(2*c) + 30*d*x^2*e^(2*c) + 210*x*e^(2*c))*e^(d*x) - (d^3*x^4 - 5*d^2*x^3 + 30*d*x^2 - 210*x)*e^(-d*x))/(b^3*d^4*x^9*e^c + 3*a*b^2*d^4*x^6*e^c + 3*a^2*b*d^4*x^3*e^c + a^3*d^4*e^c) - 1/2*integrate(3*(15*a*d^2*x^2*e^c + (3*a*d^3*e^c - 560*b*e^c)*x^3 + 90*a*d*x*e^c + 70*a*e^c)*e^(d*x)/(b^4*d^4*x^12 + 4*a*b^3*d^4*x^9 + 6*a^2*b^2*d^4*x^6 + 4*a^3*b*d^4*x^3 + a^4*d^4), x) + 1/2*integrate(-3*(15*a*d^2*x^2 - (3*a*d^3 + 560*b)*x^3 - 90*a*d*x + 70*a)*e^(-d*x)/(b^4*d^4*x^12*e^c + 4*a*b^3*d^4*x^9*e^c + 6*a^2*b^2*d^4*x^6*e^c + 4*a^3*b*d^4*x^3*e^c + a^4*d^4*e^c), x)","F",0
109,0,0,0,0.000000," ","integrate(x^3*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(d^{2} x^{3} e^{\left(2 \, c\right)} + 6 \, d x^{2} e^{\left(2 \, c\right)} + 42 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d^{2} x^{3} - 6 \, d x^{2} + 42 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{3} x^{9} e^{c} + 3 \, a b^{2} d^{3} x^{6} e^{c} + 3 \, a^{2} b d^{3} x^{3} e^{c} + a^{3} d^{3} e^{c}\right)}} + \frac{1}{2} \, \int -\frac{3 \, {\left(3 \, a d^{2} x^{2} e^{c} - 112 \, b x^{3} e^{c} + 18 \, a d x e^{c} + 14 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d^{3} x^{12} + 4 \, a b^{3} d^{3} x^{9} + 6 \, a^{2} b^{2} d^{3} x^{6} + 4 \, a^{3} b d^{3} x^{3} + a^{4} d^{3}}\,{d x} - \frac{1}{2} \, \int -\frac{3 \, {\left(3 \, a d^{2} x^{2} - 112 \, b x^{3} - 18 \, a d x + 14 \, a\right)} e^{\left(-d x\right)}}{b^{4} d^{3} x^{12} e^{c} + 4 \, a b^{3} d^{3} x^{9} e^{c} + 6 \, a^{2} b^{2} d^{3} x^{6} e^{c} + 4 \, a^{3} b d^{3} x^{3} e^{c} + a^{4} d^{3} e^{c}}\,{d x}"," ",0,"1/2*((d^2*x^3*e^(2*c) + 6*d*x^2*e^(2*c) + 42*x*e^(2*c))*e^(d*x) - (d^2*x^3 - 6*d*x^2 + 42*x)*e^(-d*x))/(b^3*d^3*x^9*e^c + 3*a*b^2*d^3*x^6*e^c + 3*a^2*b*d^3*x^3*e^c + a^3*d^3*e^c) + 1/2*integrate(-3*(3*a*d^2*x^2*e^c - 112*b*x^3*e^c + 18*a*d*x*e^c + 14*a*e^c)*e^(d*x)/(b^4*d^3*x^12 + 4*a*b^3*d^3*x^9 + 6*a^2*b^2*d^3*x^6 + 4*a^3*b*d^3*x^3 + a^4*d^3), x) - 1/2*integrate(-3*(3*a*d^2*x^2 - 112*b*x^3 - 18*a*d*x + 14*a)*e^(-d*x)/(b^4*d^3*x^12*e^c + 4*a*b^3*d^3*x^9*e^c + 6*a^2*b^2*d^3*x^6*e^c + 4*a^3*b*d^3*x^3*e^c + a^4*d^3*e^c), x)","F",0
110,0,0,0,0.000000," ","integrate(x^2*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(d x^{2} e^{\left(2 \, c\right)} + 7 \, x e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(d x^{2} - 7 \, x\right)} e^{\left(-d x\right)}}{2 \, {\left(b^{3} d^{2} x^{9} e^{c} + 3 \, a b^{2} d^{2} x^{6} e^{c} + 3 \, a^{2} b d^{2} x^{3} e^{c} + a^{3} d^{2} e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(56 \, b x^{3} e^{c} - 9 \, a d x e^{c} - 7 \, a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d^{2} x^{12} + 4 \, a b^{3} d^{2} x^{9} + 6 \, a^{2} b^{2} d^{2} x^{6} + 4 \, a^{3} b d^{2} x^{3} + a^{4} d^{2}}\,{d x} + \frac{1}{2} \, \int \frac{{\left(56 \, b x^{3} + 9 \, a d x - 7 \, a\right)} e^{\left(-d x\right)}}{b^{4} d^{2} x^{12} e^{c} + 4 \, a b^{3} d^{2} x^{9} e^{c} + 6 \, a^{2} b^{2} d^{2} x^{6} e^{c} + 4 \, a^{3} b d^{2} x^{3} e^{c} + a^{4} d^{2} e^{c}}\,{d x}"," ",0,"1/2*((d*x^2*e^(2*c) + 7*x*e^(2*c))*e^(d*x) - (d*x^2 - 7*x)*e^(-d*x))/(b^3*d^2*x^9*e^c + 3*a*b^2*d^2*x^6*e^c + 3*a^2*b*d^2*x^3*e^c + a^3*d^2*e^c) + 1/2*integrate((56*b*x^3*e^c - 9*a*d*x*e^c - 7*a*e^c)*e^(d*x)/(b^4*d^2*x^12 + 4*a*b^3*d^2*x^9 + 6*a^2*b^2*d^2*x^6 + 4*a^3*b*d^2*x^3 + a^4*d^2), x) + 1/2*integrate((56*b*x^3 + 9*a*d*x - 7*a)*e^(-d*x)/(b^4*d^2*x^12*e^c + 4*a*b^3*d^2*x^9*e^c + 6*a^2*b^2*d^2*x^6*e^c + 4*a^3*b*d^2*x^3*e^c + a^4*d^2*e^c), x)","F",0
111,0,0,0,0.000000," ","integrate(x*cosh(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{x e^{\left(d x + 2 \, c\right)} - x e^{\left(-d x\right)}}{2 \, {\left(b^{3} d x^{9} e^{c} + 3 \, a b^{2} d x^{6} e^{c} + 3 \, a^{2} b d x^{3} e^{c} + a^{3} d e^{c}\right)}} + \frac{1}{2} \, \int \frac{{\left(8 \, b x^{3} e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{b^{4} d x^{12} + 4 \, a b^{3} d x^{9} + 6 \, a^{2} b^{2} d x^{6} + 4 \, a^{3} b d x^{3} + a^{4} d}\,{d x} - \frac{1}{2} \, \int \frac{{\left(8 \, b x^{3} - a\right)} e^{\left(-d x\right)}}{b^{4} d x^{12} e^{c} + 4 \, a b^{3} d x^{9} e^{c} + 6 \, a^{2} b^{2} d x^{6} e^{c} + 4 \, a^{3} b d x^{3} e^{c} + a^{4} d e^{c}}\,{d x}"," ",0,"1/2*(x*e^(d*x + 2*c) - x*e^(-d*x))/(b^3*d*x^9*e^c + 3*a*b^2*d*x^6*e^c + 3*a^2*b*d*x^3*e^c + a^3*d*e^c) + 1/2*integrate((8*b*x^3*e^c - a*e^c)*e^(d*x)/(b^4*d*x^12 + 4*a*b^3*d*x^9 + 6*a^2*b^2*d*x^6 + 4*a^3*b*d*x^3 + a^4*d), x) - 1/2*integrate((8*b*x^3 - a)*e^(-d*x)/(b^4*d*x^12*e^c + 4*a*b^3*d*x^9*e^c + 6*a^2*b^2*d*x^6*e^c + 4*a^3*b*d*x^3*e^c + a^4*d*e^c), x)","F",0
