1,1,324,0,0.139151," ","integrate((d*x+c)^4*cosh(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} - 4 \, b^{3} d^{4} x^{3} + 4 \, b^{4} c^{3} d x - 12 \, b^{3} c d^{3} x^{2} + b^{4} c^{4} - 12 \, b^{3} c^{2} d^{2} x + 12 \, b^{2} d^{4} x^{2} - 4 \, b^{3} c^{3} d + 24 \, b^{2} c d^{3} x + 12 \, b^{2} c^{2} d^{2} - 24 \, b d^{4} x - 24 \, b c d^{3} + 24 \, d^{4}\right)} e^{\left(b x + a\right)}}{2 \, b^{5}} - \frac{{\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} + 4 \, b^{3} d^{4} x^{3} + 4 \, b^{4} c^{3} d x + 12 \, b^{3} c d^{3} x^{2} + b^{4} c^{4} + 12 \, b^{3} c^{2} d^{2} x + 12 \, b^{2} d^{4} x^{2} + 4 \, b^{3} c^{3} d + 24 \, b^{2} c d^{3} x + 12 \, b^{2} c^{2} d^{2} + 24 \, b d^{4} x + 24 \, b c d^{3} + 24 \, d^{4}\right)} e^{\left(-b x - a\right)}}{2 \, b^{5}}"," ",0,"1/2*(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 - 4*b^3*d^4*x^3 + 4*b^4*c^3*d*x - 12*b^3*c*d^3*x^2 + b^4*c^4 - 12*b^3*c^2*d^2*x + 12*b^2*d^4*x^2 - 4*b^3*c^3*d + 24*b^2*c*d^3*x + 12*b^2*c^2*d^2 - 24*b*d^4*x - 24*b*c*d^3 + 24*d^4)*e^(b*x + a)/b^5 - 1/2*(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 + 4*b^3*d^4*x^3 + 4*b^4*c^3*d*x + 12*b^3*c*d^3*x^2 + b^4*c^4 + 12*b^3*c^2*d^2*x + 12*b^2*d^4*x^2 + 4*b^3*c^3*d + 24*b^2*c*d^3*x + 12*b^2*c^2*d^2 + 24*b*d^4*x + 24*b*c*d^3 + 24*d^4)*e^(-b*x - a)/b^5","B",0
2,1,204,0,0.140009," ","integrate((d*x+c)^3*cosh(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x - 3 \, b^{2} d^{3} x^{2} + b^{3} c^{3} - 6 \, b^{2} c d^{2} x - 3 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} - 6 \, d^{3}\right)} e^{\left(b x + a\right)}}{2 \, b^{4}} - \frac{{\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + 3 \, b^{2} d^{3} x^{2} + b^{3} c^{3} + 6 \, b^{2} c d^{2} x + 3 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} + 6 \, d^{3}\right)} e^{\left(-b x - a\right)}}{2 \, b^{4}}"," ",0,"1/2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x - 3*b^2*d^3*x^2 + b^3*c^3 - 6*b^2*c*d^2*x - 3*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 - 6*d^3)*e^(b*x + a)/b^4 - 1/2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + 3*b^2*d^3*x^2 + b^3*c^3 + 6*b^2*c*d^2*x + 3*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 + 6*d^3)*e^(-b*x - a)/b^4","B",0
3,1,112,0,0.134491," ","integrate((d*x+c)^2*cosh(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, b d^{2} x - 2 \, b c d + 2 \, d^{2}\right)} e^{\left(b x + a\right)}}{2 \, b^{3}} - \frac{{\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} + 2 \, b d^{2} x + 2 \, b c d + 2 \, d^{2}\right)} e^{\left(-b x - a\right)}}{2 \, b^{3}}"," ",0,"1/2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*b*d^2*x - 2*b*c*d + 2*d^2)*e^(b*x + a)/b^3 - 1/2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 + 2*b*d^2*x + 2*b*c*d + 2*d^2)*e^(-b*x - a)/b^3","B",0
4,1,46,0,0.120398," ","integrate((d*x+c)*cosh(b*x+a),x, algorithm=""giac"")","\frac{{\left(b d x + b c - d\right)} e^{\left(b x + a\right)}}{2 \, b^{2}} - \frac{{\left(b d x + b c + d\right)} e^{\left(-b x - a\right)}}{2 \, b^{2}}"," ",0,"1/2*(b*d*x + b*c - d)*e^(b*x + a)/b^2 - 1/2*(b*d*x + b*c + d)*e^(-b*x - a)/b^2","A",0
5,1,56,0,0.115839," ","integrate(cosh(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)}}{2 \, d}"," ",0,"1/2*(Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d))/d","A",0
6,1,615,0,0.167599," ","integrate(cosh(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + b^{3} c {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - a b^{2} d {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + b^{2} d e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b} + \frac{{\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)} + b^{3} c {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)} - a b^{2} d {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)} - b^{2} d e^{\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b}"," ",0,"-1/2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + b^3*c*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - a*b^2*d*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + b^2*d*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d))*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b) + 1/2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-(b*c - a*d)/d) + b^3*c*Ei(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-(b*c - a*d)/d) - a*b^2*d*Ei(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-(b*c - a*d)/d) - b^2*d*e^((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d))*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b)","B",0
7,1,298,0,0.140964," ","integrate(cosh(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 2 \, b^{2} c d x {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + 2 \, b^{2} c d x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{2} c^{2} {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + b^{2} c^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - b d^{2} x e^{\left(b x + a\right)} + b d^{2} x e^{\left(-b x - a\right)} - b c d e^{\left(b x + a\right)} + b c d e^{\left(-b x - a\right)} - d^{2} e^{\left(b x + a\right)} - d^{2} e^{\left(-b x - a\right)}}{4 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/4*(b^2*d^2*x^2*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + b^2*d^2*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 2*b^2*c*d*x*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + 2*b^2*c*d*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^2*c^2*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + b^2*c^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - b*d^2*x*e^(b*x + a) + b*d^2*x*e^(-b*x - a) - b*c*d*e^(b*x + a) + b*c*d*e^(-b*x - a) - d^2*e^(b*x + a) - d^2*e^(-b*x - a))/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
8,1,372,0,0.141750," ","integrate((d*x+c)^4*cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{10} \, d^{4} x^{5} + \frac{1}{2} \, c d^{3} x^{4} + c^{2} d^{2} x^{3} + c^{3} d x^{2} + \frac{1}{2} \, c^{4} x + \frac{{\left(2 \, b^{4} d^{4} x^{4} + 8 \, b^{4} c d^{3} x^{3} + 12 \, b^{4} c^{2} d^{2} x^{2} - 4 \, b^{3} d^{4} x^{3} + 8 \, b^{4} c^{3} d x - 12 \, b^{3} c d^{3} x^{2} + 2 \, b^{4} c^{4} - 12 \, b^{3} c^{2} d^{2} x + 6 \, b^{2} d^{4} x^{2} - 4 \, b^{3} c^{3} d + 12 \, b^{2} c d^{3} x + 6 \, b^{2} c^{2} d^{2} - 6 \, b d^{4} x - 6 \, b c d^{3} + 3 \, d^{4}\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{5}} - \frac{{\left(2 \, b^{4} d^{4} x^{4} + 8 \, b^{4} c d^{3} x^{3} + 12 \, b^{4} c^{2} d^{2} x^{2} + 4 \, b^{3} d^{4} x^{3} + 8 \, b^{4} c^{3} d x + 12 \, b^{3} c d^{3} x^{2} + 2 \, b^{4} c^{4} + 12 \, b^{3} c^{2} d^{2} x + 6 \, b^{2} d^{4} x^{2} + 4 \, b^{3} c^{3} d + 12 \, b^{2} c d^{3} x + 6 \, b^{2} c^{2} d^{2} + 6 \, b d^{4} x + 6 \, b c d^{3} + 3 \, d^{4}\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{5}}"," ",0,"1/10*d^4*x^5 + 1/2*c*d^3*x^4 + c^2*d^2*x^3 + c^3*d*x^2 + 1/2*c^4*x + 1/16*(2*b^4*d^4*x^4 + 8*b^4*c*d^3*x^3 + 12*b^4*c^2*d^2*x^2 - 4*b^3*d^4*x^3 + 8*b^4*c^3*d*x - 12*b^3*c*d^3*x^2 + 2*b^4*c^4 - 12*b^3*c^2*d^2*x + 6*b^2*d^4*x^2 - 4*b^3*c^3*d + 12*b^2*c*d^3*x + 6*b^2*c^2*d^2 - 6*b*d^4*x - 6*b*c*d^3 + 3*d^4)*e^(2*b*x + 2*a)/b^5 - 1/16*(2*b^4*d^4*x^4 + 8*b^4*c*d^3*x^3 + 12*b^4*c^2*d^2*x^2 + 4*b^3*d^4*x^3 + 8*b^4*c^3*d*x + 12*b^3*c*d^3*x^2 + 2*b^4*c^4 + 12*b^3*c^2*d^2*x + 6*b^2*d^4*x^2 + 4*b^3*c^3*d + 12*b^2*c*d^3*x + 6*b^2*c^2*d^2 + 6*b*d^4*x + 6*b*c*d^3 + 3*d^4)*e^(-2*b*x - 2*a)/b^5","B",0
9,1,243,0,0.125332," ","integrate((d*x+c)^3*cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{8} \, d^{3} x^{4} + \frac{1}{2} \, c d^{2} x^{3} + \frac{3}{4} \, c^{2} d x^{2} + \frac{1}{2} \, c^{3} x + \frac{{\left(4 \, b^{3} d^{3} x^{3} + 12 \, b^{3} c d^{2} x^{2} + 12 \, b^{3} c^{2} d x - 6 \, b^{2} d^{3} x^{2} + 4 \, b^{3} c^{3} - 12 \, b^{2} c d^{2} x - 6 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} - 3 \, d^{3}\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{4}} - \frac{{\left(4 \, b^{3} d^{3} x^{3} + 12 \, b^{3} c d^{2} x^{2} + 12 \, b^{3} c^{2} d x + 6 \, b^{2} d^{3} x^{2} + 4 \, b^{3} c^{3} + 12 \, b^{2} c d^{2} x + 6 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} + 3 \, d^{3}\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{4}}"," ",0,"1/8*d^3*x^4 + 1/2*c*d^2*x^3 + 3/4*c^2*d*x^2 + 1/2*c^3*x + 1/32*(4*b^3*d^3*x^3 + 12*b^3*c*d^2*x^2 + 12*b^3*c^2*d*x - 6*b^2*d^3*x^2 + 4*b^3*c^3 - 12*b^2*c*d^2*x - 6*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 - 3*d^3)*e^(2*b*x + 2*a)/b^4 - 1/32*(4*b^3*d^3*x^3 + 12*b^3*c*d^2*x^2 + 12*b^3*c^2*d*x + 6*b^2*d^3*x^2 + 4*b^3*c^3 + 12*b^2*c*d^2*x + 6*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 + 3*d^3)*e^(-2*b*x - 2*a)/b^4","B",0
10,1,136,0,0.121655," ","integrate((d*x+c)^2*cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, d^{2} x^{3} + \frac{1}{2} \, c d x^{2} + \frac{1}{2} \, c^{2} x + \frac{{\left(2 \, b^{2} d^{2} x^{2} + 4 \, b^{2} c d x + 2 \, b^{2} c^{2} - 2 \, b d^{2} x - 2 \, b c d + d^{2}\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{3}} - \frac{{\left(2 \, b^{2} d^{2} x^{2} + 4 \, b^{2} c d x + 2 \, b^{2} c^{2} + 2 \, b d^{2} x + 2 \, b c d + d^{2}\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{3}}"," ",0,"1/6*d^2*x^3 + 1/2*c*d*x^2 + 1/2*c^2*x + 1/16*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 - 2*b*d^2*x - 2*b*c*d + d^2)*e^(2*b*x + 2*a)/b^3 - 1/16*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 + 2*b*d^2*x + 2*b*c*d + d^2)*e^(-2*b*x - 2*a)/b^3","A",0
11,1,63,0,0.140430," ","integrate((d*x+c)*cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{4} \, d x^{2} + \frac{1}{2} \, c x + \frac{{\left(2 \, b d x + 2 \, b c - d\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{2}} - \frac{{\left(2 \, b d x + 2 \, b c + d\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{2}}"," ",0,"1/4*d*x^2 + 1/2*c*x + 1/16*(2*b*d*x + 2*b*c - d)*e^(2*b*x + 2*a)/b^2 - 1/16*(2*b*d*x + 2*b*c + d)*e^(-2*b*x - 2*a)/b^2","A",0
12,1,68,0,0.119535," ","integrate(cosh(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} + {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} + 2 \, \log\left(d x + c\right)}{4 \, d}"," ",0,"1/4*(Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) + Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) + 2*log(d*x + c))/d","A",0
13,1,574,0,0.188423," ","integrate(cosh(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} + 2 \, b^{3} c {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} - 2 \, a b^{2} d {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} - 2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} - 2 \, b^{3} c {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} + 2 \, a b^{2} d {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} + b^{2} d e^{\left(\frac{2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + b^{2} d e^{\left(-\frac{2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 2 \, b^{2} d\right)} d^{2}}{4 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b}"," ",0,"-1/4*(2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(-2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(2*(b*c - a*d)/d) + 2*b^3*c*Ei(-2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(2*(b*c - a*d)/d) - 2*a*b^2*d*Ei(-2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(2*(b*c - a*d)/d) - 2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-2*(b*c - a*d)/d) - 2*b^3*c*Ei(2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-2*(b*c - a*d)/d) + 2*a*b^2*d*Ei(2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-2*(b*c - a*d)/d) + b^2*d*e^(2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + b^2*d*e^(-2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 2*b^2*d)*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b)","B",0
14,1,330,0,0.128701," ","integrate(cosh(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{4 \, b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} + 4 \, b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} + 8 \, b^{2} c d x {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} + 8 \, b^{2} c d x {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} + 4 \, b^{2} c^{2} {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} + 4 \, b^{2} c^{2} {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} - 2 \, b d^{2} x e^{\left(2 \, b x + 2 \, a\right)} + 2 \, b d^{2} x e^{\left(-2 \, b x - 2 \, a\right)} - 2 \, b c d e^{\left(2 \, b x + 2 \, a\right)} + 2 \, b c d e^{\left(-2 \, b x - 2 \, a\right)} - d^{2} e^{\left(2 \, b x + 2 \, a\right)} - d^{2} e^{\left(-2 \, b x - 2 \, a\right)} - 2 \, d^{2}}{8 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/8*(4*b^2*d^2*x^2*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) + 4*b^2*d^2*x^2*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) + 8*b^2*c*d*x*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) + 8*b^2*c*d*x*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) + 4*b^2*c^2*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) + 4*b^2*c^2*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) - 2*b*d^2*x*e^(2*b*x + 2*a) + 2*b*d^2*x*e^(-2*b*x - 2*a) - 2*b*c*d*e^(2*b*x + 2*a) + 2*b*c*d*e^(-2*b*x - 2*a) - d^2*e^(2*b*x + 2*a) - d^2*e^(-2*b*x - 2*a) - 2*d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
15,1,537,0,0.131733," ","integrate(cosh(b*x+a)^2/(d*x+c)^4,x, algorithm=""giac"")","\frac{4 \, b^{3} d^{3} x^{3} {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} - 4 \, b^{3} d^{3} x^{3} {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} + 12 \, b^{3} c d^{2} x^{2} {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} - 12 \, b^{3} c d^{2} x^{2} {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} + 12 \, b^{3} c^{2} d x {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} - 12 \, b^{3} c^{2} d x {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} - 2 \, b^{2} d^{3} x^{2} e^{\left(2 \, b x + 2 \, a\right)} - 2 \, b^{2} d^{3} x^{2} e^{\left(-2 \, b x - 2 \, a\right)} + 4 \, b^{3} c^{3} {\rm Ei}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} - 4 \, b^{3} c^{3} {\rm Ei}\left(-\frac{2 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} - 4 \, b^{2} c d^{2} x e^{\left(2 \, b x + 2 \, a\right)} - 4 \, b^{2} c d^{2} x e^{\left(-2 \, b x - 2 \, a\right)} - 2 \, b^{2} c^{2} d e^{\left(2 \, b x + 2 \, a\right)} - b d^{3} x e^{\left(2 \, b x + 2 \, a\right)} - 2 \, b^{2} c^{2} d e^{\left(-2 \, b x - 2 \, a\right)} + b d^{3} x e^{\left(-2 \, b x - 2 \, a\right)} - b c d^{2} e^{\left(2 \, b x + 2 \, a\right)} + b c d^{2} e^{\left(-2 \, b x - 2 \, a\right)} - d^{3} e^{\left(2 \, b x + 2 \, a\right)} - d^{3} e^{\left(-2 \, b x - 2 \, a\right)} - 2 \, d^{3}}{12 \, {\left(d^{7} x^{3} + 3 \, c d^{6} x^{2} + 3 \, c^{2} d^{5} x + c^{3} d^{4}\right)}}"," ",0,"1/12*(4*b^3*d^3*x^3*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) - 4*b^3*d^3*x^3*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) + 12*b^3*c*d^2*x^2*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) - 12*b^3*c*d^2*x^2*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) + 12*b^3*c^2*d*x*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) - 12*b^3*c^2*d*x*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) - 2*b^2*d^3*x^2*e^(2*b*x + 2*a) - 2*b^2*d^3*x^2*e^(-2*b*x - 2*a) + 4*b^3*c^3*Ei(2*(b*d*x + b*c)/d)*e^(2*a - 2*b*c/d) - 4*b^3*c^3*Ei(-2*(b*d*x + b*c)/d)*e^(-2*a + 2*b*c/d) - 4*b^2*c*d^2*x*e^(2*b*x + 2*a) - 4*b^2*c*d^2*x*e^(-2*b*x - 2*a) - 2*b^2*c^2*d*e^(2*b*x + 2*a) - b*d^3*x*e^(2*b*x + 2*a) - 2*b^2*c^2*d*e^(-2*b*x - 2*a) + b*d^3*x*e^(-2*b*x - 2*a) - b*c*d^2*e^(2*b*x + 2*a) + b*c*d^2*e^(-2*b*x - 2*a) - d^3*e^(2*b*x + 2*a) - d^3*e^(-2*b*x - 2*a) - 2*d^3)/(d^7*x^3 + 3*c*d^6*x^2 + 3*c^2*d^5*x + c^3*d^4)","B",0
16,1,654,0,0.133875," ","integrate((d*x+c)^4*cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(27 \, b^{4} d^{4} x^{4} + 108 \, b^{4} c d^{3} x^{3} + 162 \, b^{4} c^{2} d^{2} x^{2} - 36 \, b^{3} d^{4} x^{3} + 108 \, b^{4} c^{3} d x - 108 \, b^{3} c d^{3} x^{2} + 27 \, b^{4} c^{4} - 108 \, b^{3} c^{2} d^{2} x + 36 \, b^{2} d^{4} x^{2} - 36 \, b^{3} c^{3} d + 72 \, b^{2} c d^{3} x + 36 \, b^{2} c^{2} d^{2} - 24 \, b d^{4} x - 24 \, b c d^{3} + 8 \, d^{4}\right)} e^{\left(3 \, b x + 3 \, a\right)}}{648 \, b^{5}} + \frac{3 \, {\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} - 4 \, b^{3} d^{4} x^{3} + 4 \, b^{4} c^{3} d x - 12 \, b^{3} c d^{3} x^{2} + b^{4} c^{4} - 12 \, b^{3} c^{2} d^{2} x + 12 \, b^{2} d^{4} x^{2} - 4 \, b^{3} c^{3} d + 24 \, b^{2} c d^{3} x + 12 \, b^{2} c^{2} d^{2} - 24 \, b d^{4} x - 24 \, b c d^{3} + 24 \, d^{4}\right)} e^{\left(b x + a\right)}}{8 \, b^{5}} - \frac{3 \, {\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} + 4 \, b^{3} d^{4} x^{3} + 4 \, b^{4} c^{3} d x + 12 \, b^{3} c d^{3} x^{2} + b^{4} c^{4} + 12 \, b^{3} c^{2} d^{2} x + 12 \, b^{2} d^{4} x^{2} + 4 \, b^{3} c^{3} d + 24 \, b^{2} c d^{3} x + 12 \, b^{2} c^{2} d^{2} + 24 \, b d^{4} x + 24 \, b c d^{3} + 24 \, d^{4}\right)} e^{\left(-b x - a\right)}}{8 \, b^{5}} - \frac{{\left(27 \, b^{4} d^{4} x^{4} + 108 \, b^{4} c d^{3} x^{3} + 162 \, b^{4} c^{2} d^{2} x^{2} + 36 \, b^{3} d^{4} x^{3} + 108 \, b^{4} c^{3} d x + 108 \, b^{3} c d^{3} x^{2} + 27 \, b^{4} c^{4} + 108 \, b^{3} c^{2} d^{2} x + 36 \, b^{2} d^{4} x^{2} + 36 \, b^{3} c^{3} d + 72 \, b^{2} c d^{3} x + 36 \, b^{2} c^{2} d^{2} + 24 \, b d^{4} x + 24 \, b c d^{3} + 8 \, d^{4}\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{648 \, b^{5}}"," ",0,"1/648*(27*b^4*d^4*x^4 + 108*b^4*c*d^3*x^3 + 162*b^4*c^2*d^2*x^2 - 36*b^3*d^4*x^3 + 108*b^4*c^3*d*x - 108*b^3*c*d^3*x^2 + 27*b^4*c^4 - 108*b^3*c^2*d^2*x + 36*b^2*d^4*x^2 - 36*b^3*c^3*d + 72*b^2*c*d^3*x + 36*b^2*c^2*d^2 - 24*b*d^4*x - 24*b*c*d^3 + 8*d^4)*e^(3*b*x + 3*a)/b^5 + 3/8*(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 - 4*b^3*d^4*x^3 + 4*b^4*c^3*d*x - 12*b^3*c*d^3*x^2 + b^4*c^4 - 12*b^3*c^2*d^2*x + 12*b^2*d^4*x^2 - 4*b^3*c^3*d + 24*b^2*c*d^3*x + 12*b^2*c^2*d^2 - 24*b*d^4*x - 24*b*c*d^3 + 24*d^4)*e^(b*x + a)/b^5 - 3/8*(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 + 4*b^3*d^4*x^3 + 4*b^4*c^3*d*x + 12*b^3*c*d^3*x^2 + b^4*c^4 + 12*b^3*c^2*d^2*x + 12*b^2*d^4*x^2 + 4*b^3*c^3*d + 24*b^2*c*d^3*x + 12*b^2*c^2*d^2 + 24*b*d^4*x + 24*b*c*d^3 + 24*d^4)*e^(-b*x - a)/b^5 - 1/648*(27*b^4*d^4*x^4 + 108*b^4*c*d^3*x^3 + 162*b^4*c^2*d^2*x^2 + 36*b^3*d^4*x^3 + 108*b^4*c^3*d*x + 108*b^3*c*d^3*x^2 + 27*b^4*c^4 + 108*b^3*c^2*d^2*x + 36*b^2*d^4*x^2 + 36*b^3*c^3*d + 72*b^2*c*d^3*x + 36*b^2*c^2*d^2 + 24*b*d^4*x + 24*b*c*d^3 + 8*d^4)*e^(-3*b*x - 3*a)/b^5","B",0
17,1,414,0,0.127719," ","integrate((d*x+c)^3*cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(9 \, b^{3} d^{3} x^{3} + 27 \, b^{3} c d^{2} x^{2} + 27 \, b^{3} c^{2} d x - 9 \, b^{2} d^{3} x^{2} + 9 \, b^{3} c^{3} - 18 \, b^{2} c d^{2} x - 9 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} - 2 \, d^{3}\right)} e^{\left(3 \, b x + 3 \, a\right)}}{216 \, b^{4}} + \frac{3 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x - 3 \, b^{2} d^{3} x^{2} + b^{3} c^{3} - 6 \, b^{2} c d^{2} x - 3 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} - 6 \, d^{3}\right)} e^{\left(b x + a\right)}}{8 \, b^{4}} - \frac{3 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + 3 \, b^{2} d^{3} x^{2} + b^{3} c^{3} + 6 \, b^{2} c d^{2} x + 3 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} + 6 \, d^{3}\right)} e^{\left(-b x - a\right)}}{8 \, b^{4}} - \frac{{\left(9 \, b^{3} d^{3} x^{3} + 27 \, b^{3} c d^{2} x^{2} + 27 \, b^{3} c^{2} d x + 9 \, b^{2} d^{3} x^{2} + 9 \, b^{3} c^{3} + 18 \, b^{2} c d^{2} x + 9 \, b^{2} c^{2} d + 6 \, b d^{3} x + 6 \, b c d^{2} + 2 \, d^{3}\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{216 \, b^{4}}"," ",0,"1/216*(9*b^3*d^3*x^3 + 27*b^3*c*d^2*x^2 + 27*b^3*c^2*d*x - 9*b^2*d^3*x^2 + 9*b^3*c^3 - 18*b^2*c*d^2*x - 9*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 - 2*d^3)*e^(3*b*x + 3*a)/b^4 + 3/8*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x - 3*b^2*d^3*x^2 + b^3*c^3 - 6*b^2*c*d^2*x - 3*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 - 6*d^3)*e^(b*x + a)/b^4 - 3/8*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + 3*b^2*d^3*x^2 + b^3*c^3 + 6*b^2*c*d^2*x + 3*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 + 6*d^3)*e^(-b*x - a)/b^4 - 1/216*(9*b^3*d^3*x^3 + 27*b^3*c*d^2*x^2 + 27*b^3*c^2*d*x + 9*b^2*d^3*x^2 + 9*b^3*c^3 + 18*b^2*c*d^2*x + 9*b^2*c^2*d + 6*b*d^3*x + 6*b*c*d^2 + 2*d^3)*e^(-3*b*x - 3*a)/b^4","B",0
18,1,230,0,0.156477," ","integrate((d*x+c)^2*cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(9 \, b^{2} d^{2} x^{2} + 18 \, b^{2} c d x + 9 \, b^{2} c^{2} - 6 \, b d^{2} x - 6 \, b c d + 2 \, d^{2}\right)} e^{\left(3 \, b x + 3 \, a\right)}}{216 \, b^{3}} + \frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, b d^{2} x - 2 \, b c d + 2 \, d^{2}\right)} e^{\left(b x + a\right)}}{8 \, b^{3}} - \frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} + 2 \, b d^{2} x + 2 \, b c d + 2 \, d^{2}\right)} e^{\left(-b x - a\right)}}{8 \, b^{3}} - \frac{{\left(9 \, b^{2} d^{2} x^{2} + 18 \, b^{2} c d x + 9 \, b^{2} c^{2} + 6 \, b d^{2} x + 6 \, b c d + 2 \, d^{2}\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{216 \, b^{3}}"," ",0,"1/216*(9*b^2*d^2*x^2 + 18*b^2*c*d*x + 9*b^2*c^2 - 6*b*d^2*x - 6*b*c*d + 2*d^2)*e^(3*b*x + 3*a)/b^3 + 3/8*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*b*d^2*x - 2*b*c*d + 2*d^2)*e^(b*x + a)/b^3 - 3/8*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 + 2*b*d^2*x + 2*b*c*d + 2*d^2)*e^(-b*x - a)/b^3 - 1/216*(9*b^2*d^2*x^2 + 18*b^2*c*d*x + 9*b^2*c^2 + 6*b*d^2*x + 6*b*c*d + 2*d^2)*e^(-3*b*x - 3*a)/b^3","B",0
19,1,98,0,0.120372," ","integrate((d*x+c)*cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(3 \, b d x + 3 \, b c - d\right)} e^{\left(3 \, b x + 3 \, a\right)}}{72 \, b^{2}} + \frac{3 \, {\left(b d x + b c - d\right)} e^{\left(b x + a\right)}}{8 \, b^{2}} - \frac{3 \, {\left(b d x + b c + d\right)} e^{\left(-b x - a\right)}}{8 \, b^{2}} - \frac{{\left(3 \, b d x + 3 \, b c + d\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{72 \, b^{2}}"," ",0,"1/72*(3*b*d*x + 3*b*c - d)*e^(3*b*x + 3*a)/b^2 + 3/8*(b*d*x + b*c - d)*e^(b*x + a)/b^2 - 3/8*(b*d*x + b*c + d)*e^(-b*x - a)/b^2 - 1/72*(3*b*d*x + 3*b*c + d)*e^(-3*b*x - 3*a)/b^2","A",0
20,1,112,0,0.135121," ","integrate(cosh(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} + 3 \, {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + 3 \, {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + {\rm Ei}\left(-\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)}}{8 \, d}"," ",0,"1/8*(Ei(3*(b*d*x + b*c)/d)*e^(3*a - 3*b*c/d) + 3*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + 3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + Ei(-3*(b*d*x + b*c)/d)*e^(-3*a + 3*b*c/d))/d","A",0
21,1,1075,0,0.211144," ","integrate(cosh(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(-\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b c - a d\right)}}{d}\right)} + 3 \, b^{3} c {\rm Ei}\left(-\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b c - a d\right)}}{d}\right)} - 3 \, a b^{2} d {\rm Ei}\left(-\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b c - a d\right)}}{d}\right)} + 3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 3 \, b^{3} c {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 3 \, a b^{2} d {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)} - 3 \, b^{3} c {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)} + 3 \, a b^{2} d {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)} - 3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} {\rm Ei}\left(\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right)} - 3 \, b^{3} c {\rm Ei}\left(\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right)} + 3 \, a b^{2} d {\rm Ei}\left(\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right)} + b^{2} d e^{\left(\frac{3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 3 \, b^{2} d e^{\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 3 \, b^{2} d e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + b^{2} d e^{\left(-\frac{3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{8 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b}"," ",0,"-1/8*(3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(-3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(3*(b*c - a*d)/d) + 3*b^3*c*Ei(-3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(3*(b*c - a*d)/d) - 3*a*b^2*d*Ei(-3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(3*(b*c - a*d)/d) + 3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 3*b^3*c*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 3*a*b^2*d*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-(b*c - a*d)/d) - 3*b^3*c*Ei(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-(b*c - a*d)/d) + 3*a*b^2*d*Ei(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-(b*c - a*d)/d) - 3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*Ei(3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-3*(b*c - a*d)/d) - 3*b^3*c*Ei(3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-3*(b*c - a*d)/d) + 3*a*b^2*d*Ei(3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^(-3*(b*c - a*d)/d) + b^2*d*e^(3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 3*b^2*d*e^((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 3*b^2*d*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + b^2*d*e^(-3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d))*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b)","B",0
22,1,602,0,0.133878," ","integrate(cosh(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{9 \, b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} + 3 \, b^{2} d^{2} x^{2} {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + 3 \, b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 9 \, b^{2} d^{2} x^{2} {\rm Ei}\left(-\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} + 18 \, b^{2} c d x {\rm Ei}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} + 6 \, b^{2} c d x {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + 6 \, b^{2} c d x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 18 \, b^{2} c d x {\rm Ei}\left(-\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} + 9 \, b^{2} c^{2} {\rm Ei}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} + 3 \, b^{2} c^{2} {\rm Ei}\left(\frac{b d x + b c}{d}\right) e^{\left(a - \frac{b c}{d}\right)} + 3 \, b^{2} c^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 9 \, b^{2} c^{2} {\rm Ei}\left(-\frac{3 \, {\left(b d x + b c\right)}}{d}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} - 3 \, b d^{2} x e^{\left(3 \, b x + 3 \, a\right)} - 3 \, b d^{2} x e^{\left(b x + a\right)} + 3 \, b d^{2} x e^{\left(-b x - a\right)} + 3 \, b d^{2} x e^{\left(-3 \, b x - 3 \, a\right)} - 3 \, b c d e^{\left(3 \, b x + 3 \, a\right)} - 3 \, b c d e^{\left(b x + a\right)} + 3 \, b c d e^{\left(-b x - a\right)} + 3 \, b c d e^{\left(-3 \, b x - 3 \, a\right)} - d^{2} e^{\left(3 \, b x + 3 \, a\right)} - 3 \, d^{2} e^{\left(b x + a\right)} - 3 \, d^{2} e^{\left(-b x - a\right)} - d^{2} e^{\left(-3 \, b x - 3 \, a\right)}}{16 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/16*(9*b^2*d^2*x^2*Ei(3*(b*d*x + b*c)/d)*e^(3*a - 3*b*c/d) + 3*b^2*d^2*x^2*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + 3*b^2*d^2*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 9*b^2*d^2*x^2*Ei(-3*(b*d*x + b*c)/d)*e^(-3*a + 3*b*c/d) + 18*b^2*c*d*x*Ei(3*(b*d*x + b*c)/d)*e^(3*a - 3*b*c/d) + 6*b^2*c*d*x*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + 6*b^2*c*d*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 18*b^2*c*d*x*Ei(-3*(b*d*x + b*c)/d)*e^(-3*a + 3*b*c/d) + 9*b^2*c^2*Ei(3*(b*d*x + b*c)/d)*e^(3*a - 3*b*c/d) + 3*b^2*c^2*Ei((b*d*x + b*c)/d)*e^(a - b*c/d) + 3*b^2*c^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 9*b^2*c^2*Ei(-3*(b*d*x + b*c)/d)*e^(-3*a + 3*b*c/d) - 3*b*d^2*x*e^(3*b*x + 3*a) - 3*b*d^2*x*e^(b*x + a) + 3*b*d^2*x*e^(-b*x - a) + 3*b*d^2*x*e^(-3*b*x - 3*a) - 3*b*c*d*e^(3*b*x + 3*a) - 3*b*c*d*e^(b*x + a) + 3*b*c*d*e^(-b*x - a) + 3*b*c*d*e^(-3*b*x - 3*a) - d^2*e^(3*b*x + 3*a) - 3*d^2*e^(b*x + a) - 3*d^2*e^(-b*x - a) - d^2*e^(-3*b*x - 3*a))/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
23,1,150,0,0.120367," ","integrate(x^3*cosh(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{32} \, x^{4} + \frac{{\left(32 \, b^{3} x^{3} - 24 \, b^{2} x^{2} + 12 \, b x - 3\right)} e^{\left(4 \, b x + 4 \, a\right)}}{2048 \, b^{4}} + \frac{{\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{4}} - \frac{{\left(4 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 6 \, b x + 3\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{4}} - \frac{{\left(32 \, b^{3} x^{3} + 24 \, b^{2} x^{2} + 12 \, b x + 3\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{2048 \, b^{4}}"," ",0,"3/32*x^4 + 1/2048*(32*b^3*x^3 - 24*b^2*x^2 + 12*b*x - 3)*e^(4*b*x + 4*a)/b^4 + 1/32*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*e^(2*b*x + 2*a)/b^4 - 1/32*(4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4 - 1/2048*(32*b^3*x^3 + 24*b^2*x^2 + 12*b*x + 3)*e^(-4*b*x - 4*a)/b^4","A",0
24,1,118,0,0.120787," ","integrate(x^2*cosh(b*x+a)^4,x, algorithm=""giac"")","\frac{1}{8} \, x^{3} + \frac{{\left(8 \, b^{2} x^{2} - 4 \, b x + 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{512 \, b^{3}} + \frac{{\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{3}} - \frac{{\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{3}} - \frac{{\left(8 \, b^{2} x^{2} + 4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{512 \, b^{3}}"," ",0,"1/8*x^3 + 1/512*(8*b^2*x^2 - 4*b*x + 1)*e^(4*b*x + 4*a)/b^3 + 1/16*(2*b^2*x^2 - 2*b*x + 1)*e^(2*b*x + 2*a)/b^3 - 1/16*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3 - 1/512*(8*b^2*x^2 + 4*b*x + 1)*e^(-4*b*x - 4*a)/b^3","A",0
25,1,86,0,0.122725," ","integrate(x*cosh(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{16} \, x^{2} + \frac{{\left(4 \, b x - 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b^{2}} + \frac{{\left(2 \, b x - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{2}} - \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{2}} - \frac{{\left(4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b^{2}}"," ",0,"3/16*x^2 + 1/256*(4*b*x - 1)*e^(4*b*x + 4*a)/b^2 + 1/16*(2*b*x - 1)*e^(2*b*x + 2*a)/b^2 - 1/16*(2*b*x + 1)*e^(-2*b*x - 2*a)/b^2 - 1/256*(4*b*x + 1)*e^(-4*b*x - 4*a)/b^2","A",0
26,0,0,0,0.000000," ","integrate((d*x+c)^3*sech(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*sech(b*x + a), x)","F",0
27,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*sech(b*x + a), x)","F",0
28,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*sech(b*x + a), x)","F",0
29,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(sech(b*x + a)/(d*x + c), x)","F",0
30,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)/(d*x + c)^2, x)","F",0
31,0,0,0,0.000000," ","integrate((d*x+c)^3*sech(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*sech(b*x + a)^2, x)","F",0
32,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*sech(b*x + a)^2, x)","F",0
33,1,78,0,0.140565," ","integrate((d*x+c)*sech(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, b d x e^{\left(2 \, b x + 2 \, a\right)} - d e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) - 2 \, b c - d \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}"," ",0,"(2*b*d*x*e^(2*b*x + 2*a) - d*e^(2*b*x + 2*a)*log(e^(2*b*x + 2*a) + 1) - 2*b*c - d*log(e^(2*b*x + 2*a) + 1))/(b^2*e^(2*b*x + 2*a) + b^2)","B",0
34,0,0,0,0.000000," ","integrate(sech(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(sech(b*x + a)^2/(d*x + c), x)","F",0
35,0,0,0,0.000000," ","integrate(sech(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^2/(d*x + c)^2, x)","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)^3*sech(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*sech(b*x + a)^3, x)","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*sech(b*x + a)^3, x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*sech(b*x + a)^3, x)","F",0
39,0,0,0,0.000000," ","integrate(sech(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(sech(b*x + a)^3/(d*x + c), x)","F",0
40,0,0,0,0.000000," ","integrate(sech(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^3/(d*x + c)^2, x)","F",0
41,1,232,0,0.219530," ","integrate((d*x+c)^(5/2)*cosh(b*x+a),x, algorithm=""giac"")","-\frac{\frac{15 \, \sqrt{\pi} d^{4} \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c}}{d}\right) e^{\left(\frac{b c - a d}{d}\right)}}{\sqrt{b d} b^{3}} - \frac{15 \, \sqrt{\pi} d^{4} \operatorname{erf}\left(-\frac{\sqrt{-b d} \sqrt{d x + c}}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)}}{\sqrt{-b d} b^{3}} - \frac{2 \, {\left(4 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 15 \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{{\left(d x + c\right)} b - b c + a d}{d}\right)}}{b^{3}} + \frac{2 \, {\left(4 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 15 \, \sqrt{d x + c} d^{3}\right)} e^{\left(-\frac{{\left(d x + c\right)} b - b c + a d}{d}\right)}}{b^{3}}}{16 \, d}"," ",0,"-1/16*(15*sqrt(pi)*d^4*erf(-sqrt(b*d)*sqrt(d*x + c)/d)*e^((b*c - a*d)/d)/(sqrt(b*d)*b^3) - 15*sqrt(pi)*d^4*erf(-sqrt(-b*d)*sqrt(d*x + c)/d)*e^(-(b*c - a*d)/d)/(sqrt(-b*d)*b^3) - 2*(4*(d*x + c)^(5/2)*b^2*d - 10*(d*x + c)^(3/2)*b*d^2 + 15*sqrt(d*x + c)*d^3)*e^(((d*x + c)*b - b*c + a*d)/d)/b^3 + 2*(4*(d*x + c)^(5/2)*b^2*d + 10*(d*x + c)^(3/2)*b*d^2 + 15*sqrt(d*x + c)*d^3)*e^(-((d*x + c)*b - b*c + a*d)/d)/b^3)/d","A",0
42,1,202,0,0.181161," ","integrate((d*x+c)^(3/2)*cosh(b*x+a),x, algorithm=""giac"")","-\frac{\frac{3 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c}}{d}\right) e^{\left(\frac{b c - a d}{d}\right)}}{\sqrt{b d} b^{2}} + \frac{3 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{\sqrt{-b d} \sqrt{d x + c}}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)}}{\sqrt{-b d} b^{2}} - \frac{2 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{{\left(d x + c\right)} b - b c + a d}{d}\right)}}{b^{2}} + \frac{2 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(-\frac{{\left(d x + c\right)} b - b c + a d}{d}\right)}}{b^{2}}}{8 \, d}"," ",0,"-1/8*(3*sqrt(pi)*d^3*erf(-sqrt(b*d)*sqrt(d*x + c)/d)*e^((b*c - a*d)/d)/(sqrt(b*d)*b^2) + 3*sqrt(pi)*d^3*erf(-sqrt(-b*d)*sqrt(d*x + c)/d)*e^(-(b*c - a*d)/d)/(sqrt(-b*d)*b^2) - 2*(2*(d*x + c)^(3/2)*b*d - 3*sqrt(d*x + c)*d^2)*e^(((d*x + c)*b - b*c + a*d)/d)/b^2 + 2*(2*(d*x + c)^(3/2)*b*d + 3*sqrt(d*x + c)*d^2)*e^(-((d*x + c)*b - b*c + a*d)/d)/b^2)/d","A",0
43,1,169,0,0.161732," ","integrate(cosh(b*x+a)*(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c}}{d}\right) e^{\left(\frac{b c - a d}{d}\right)}}{\sqrt{b d} b} - \frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{\sqrt{-b d} \sqrt{d x + c}}{d}\right) e^{\left(-\frac{b c - a d}{d}\right)}}{\sqrt{-b d} b} - \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{{\left(d x + c\right)} b - b c + a d}{d}\right)}}{b} + \frac{2 \, \sqrt{d x + c} d e^{\left(-\frac{{\left(d x + c\right)} b - b c + a d}{d}\right)}}{b}}{4 \, d}"," ",0,"-1/4*(sqrt(pi)*d^2*erf(-sqrt(b*d)*sqrt(d*x + c)/d)*e^((b*c - a*d)/d)/(sqrt(b*d)*b) - sqrt(pi)*d^2*erf(-sqrt(-b*d)*sqrt(d*x + c)/d)*e^(-(b*c - a*d)/d)/(sqrt(-b*d)*b) - 2*sqrt(d*x + c)*d*e^(((d*x + c)*b - b*c + a*d)/d)/b + 2*sqrt(d*x + c)*d*e^(-((d*x + c)*b - b*c + a*d)/d)/b)/d","A",0
44,1,89,0,0.131089," ","integrate(cosh(b*x+a)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c}}{d}\right) e^{\left(\frac{b c}{d}\right)}}{\sqrt{b d}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{-b d} \sqrt{d x + c}}{d}\right) e^{\left(-\frac{b c - 2 \, a d}{d}\right)}}{\sqrt{-b d}}\right)} e^{\left(-a\right)}}{2 \, d}"," ",0,"-1/2*(sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)/d)*e^(b*c/d)/sqrt(b*d) + sqrt(pi)*d*erf(-sqrt(-b*d)*sqrt(d*x + c)/d)*e^(-(b*c - 2*a*d)/d)/sqrt(-b*d))*e^(-a)/d","A",0
45,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)/(d*x + c)^(3/2), x)","F",0
46,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)/(d*x + c)^(5/2), x)","F",0
47,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)/(d*x + c)^(7/2), x)","F",0
48,0,0,0,0.000000," ","integrate((d*x+c)^(5/2)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{\frac{5}{2}} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^(5/2)*cosh(b*x + a)^2, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)^(3/2)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{\frac{3}{2}} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^(3/2)*cosh(b*x + a)^2, x)","F",0
50,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*(d*x+c)^(1/2),x, algorithm=""giac"")","\int \sqrt{d x + c} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(sqrt(d*x + c)*cosh(b*x + a)^2, x)","F",0
51,1,115,0,0.171710," ","integrate(cosh(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{\sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c}}{d}\right) e^{\left(\frac{2 \, b c}{d}\right)}}{\sqrt{b d}} + \frac{\sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{-b d} \sqrt{d x + c}}{d}\right) e^{\left(-\frac{2 \, {\left(b c - 2 \, a d\right)}}{d}\right)}}{\sqrt{-b d}} - 8 \, \sqrt{d x + c} e^{\left(2 \, a\right)}\right)} e^{\left(-2 \, a\right)}}{8 \, d}"," ",0,"-1/8*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)/d)*e^(2*b*c/d)/sqrt(b*d) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(-b*d)*sqrt(d*x + c)/d)*e^(-2*(b*c - 2*a*d)/d)/sqrt(-b*d) - 8*sqrt(d*x + c)*e^(2*a))*e^(-2*a)/d","A",0
52,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2/(d*x + c)^(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2/(d*x + c)^(5/2), x)","F",0
54,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2/(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2/(d*x + c)^(7/2), x)","F",0
55,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2/(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2/(d*x + c)^(9/2), x)","F",0
56,0,0,0,0.000000," ","integrate((d*x+c)^(5/2)*cosh(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{\frac{5}{2}} \cosh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^(5/2)*cosh(b*x + a)^3, x)","F",0
57,0,0,0,0.000000," ","integrate((d*x+c)^(3/2)*cosh(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{\frac{3}{2}} \cosh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^(3/2)*cosh(b*x + a)^3, x)","F",0
58,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*(d*x+c)^(1/2),x, algorithm=""giac"")","\int \sqrt{d x + c} \cosh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*x + c)*cosh(b*x + a)^3, x)","F",0
59,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3}}{\sqrt{d x + c}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3/sqrt(d*x + c), x)","F",0
60,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3/(d*x + c)^(3/2), x)","F",0
61,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3/(d*x + c)^(5/2), x)","F",0
62,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3/(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3/(d*x + c)^(7/2), x)","F",0
63,1,145,0,0.149595," ","integrate((d*x)^(3/2)*cosh(f*x),x, algorithm=""giac"")","-\frac{1}{8} \, d {\left(\frac{\frac{3 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{\sqrt{d f} \sqrt{d x}}{d}\right)}{\sqrt{d f} f^{2}} + \frac{2 \, {\left(2 \, \sqrt{d x} d^{2} f x + 3 \, \sqrt{d x} d^{2}\right)} e^{\left(-f x\right)}}{f^{2}}}{d^{2}} + \frac{\frac{3 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{\sqrt{-d f} \sqrt{d x}}{d}\right)}{\sqrt{-d f} f^{2}} - \frac{2 \, {\left(2 \, \sqrt{d x} d^{2} f x - 3 \, \sqrt{d x} d^{2}\right)} e^{\left(f x\right)}}{f^{2}}}{d^{2}}\right)}"," ",0,"-1/8*d*((3*sqrt(pi)*d^3*erf(-sqrt(d*f)*sqrt(d*x)/d)/(sqrt(d*f)*f^2) + 2*(2*sqrt(d*x)*d^2*f*x + 3*sqrt(d*x)*d^2)*e^(-f*x)/f^2)/d^2 + (3*sqrt(pi)*d^3*erf(-sqrt(-d*f)*sqrt(d*x)/d)/(sqrt(-d*f)*f^2) - 2*(2*sqrt(d*x)*d^2*f*x - 3*sqrt(d*x)*d^2)*e^(f*x)/f^2)/d^2)","A",0
64,1,108,0,0.150041," ","integrate(cosh(f*x)*(d*x)^(1/2),x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{\sqrt{d f} \sqrt{d x}}{d}\right)}{\sqrt{d f} f} + \frac{2 \, \sqrt{d x} d e^{\left(-f x\right)}}{f}}{4 \, d} + \frac{\frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{\sqrt{-d f} \sqrt{d x}}{d}\right)}{\sqrt{-d f} f} + \frac{2 \, \sqrt{d x} d e^{\left(f x\right)}}{f}}{4 \, d}"," ",0,"-1/4*(sqrt(pi)*d^2*erf(-sqrt(d*f)*sqrt(d*x)/d)/(sqrt(d*f)*f) + 2*sqrt(d*x)*d*e^(-f*x)/f)/d + 1/4*(sqrt(pi)*d^2*erf(-sqrt(-d*f)*sqrt(d*x)/d)/(sqrt(-d*f)*f) + 2*sqrt(d*x)*d*e^(f*x)/f)/d","A",0
65,1,60,0,0.118978," ","integrate(cosh(f*x)/(d*x)^(1/2),x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{d f} \sqrt{d x}}{d}\right)}{\sqrt{d f}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{-d f} \sqrt{d x}}{d}\right)}{\sqrt{-d f}}}{2 \, d}"," ",0,"-1/2*(sqrt(pi)*d*erf(-sqrt(d*f)*sqrt(d*x)/d)/sqrt(d*f) + sqrt(pi)*d*erf(-sqrt(-d*f)*sqrt(d*x)/d)/sqrt(-d*f))/d","A",0
66,0,0,0,0.000000," ","integrate(cosh(f*x)/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{\cosh\left(f x\right)}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x)/(d*x)^(3/2), x)","F",0
67,0,0,0,0.000000," ","integrate(cosh(f*x)/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{\cosh\left(f x\right)}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(f*x)/(d*x)^(5/2), x)","F",0
68,0,0,0,0.000000," ","integrate(sech(b*x+a)*(d*x+c)^(1/2),x, algorithm=""giac"")","\int \sqrt{d x + c} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(sqrt(d*x + c)*sech(b*x + a), x)","F",0
69,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)}{\sqrt{d x + c}}\,{d x}"," ",0,"integrate(sech(b*x + a)/sqrt(d*x + c), x)","F",0
70,0,0,0,0.000000," ","integrate(cosh(x)^(3/2)/x^3,x, algorithm=""giac"")","\int \frac{\cosh\left(x\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(cosh(x)^(3/2)/x^3, x)","F",0
71,0,0,0,0.000000," ","integrate(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\cosh\left(x\right)} + \frac{x}{\cosh\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sqrt(cosh(x)) + x/cosh(x)^(3/2), x)","F",0
72,0,0,0,0.000000," ","integrate(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x, algorithm=""giac"")","\int -\frac{x}{3 \, \sqrt{\cosh\left(x\right)}} + \frac{x}{\cosh\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(-1/3*x/sqrt(cosh(x)) + x/cosh(x)^(5/2), x)","F",0
73,0,0,0,0.000000," ","integrate(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x, algorithm=""giac"")","\int \frac{3}{5} \, x \sqrt{\cosh\left(x\right)} + \frac{x}{\cosh\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(3/5*x*sqrt(cosh(x)) + x/cosh(x)^(7/2), x)","F",0
74,0,0,0,0.000000," ","integrate(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x, algorithm=""giac"")","\int x^{2} \sqrt{\cosh\left(x\right)} + \frac{x^{2}}{\cosh\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2*sqrt(cosh(x)) + x^2/cosh(x)^(3/2), x)","F",0
75,0,0,0,0.000000," ","integrate((d*x+c)^m*(b*cosh(f*x+e))^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \left(b \cosh\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(b*cosh(f*x + e))^n, x)","F",0
76,0,0,0,0.000000," ","integrate((d*x+c)^m*cosh(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cosh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*cosh(b*x + a)^3, x)","F",0
77,0,0,0,0.000000," ","integrate((d*x+c)^m*cosh(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cosh(b*x + a)^2, x)","F",0
78,0,0,0,0.000000," ","integrate((d*x+c)^m*cosh(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cosh(b*x + a), x)","F",0
79,0,0,0,0.000000," ","integrate((d*x+c)^m*sech(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*sech(b*x + a), x)","F",0
80,0,0,0,0.000000," ","integrate((d*x+c)^m*sech(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*sech(b*x + a)^2, x)","F",0
81,0,0,0,0.000000," ","integrate(x^(3+m)*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m + 3} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m + 3)*cosh(b*x + a), x)","F",0
82,0,0,0,0.000000," ","integrate(x^(2+m)*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m + 2} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m + 2)*cosh(b*x + a), x)","F",0
83,0,0,0,0.000000," ","integrate(x^(1+m)*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m + 1} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m + 1)*cosh(b*x + a), x)","F",0
84,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a), x)","F",0
85,0,0,0,0.000000," ","integrate(x^(-1+m)*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m - 1} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m - 1)*cosh(b*x + a), x)","F",0
86,0,0,0,0.000000," ","integrate(x^(-2+m)*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m - 2} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m - 2)*cosh(b*x + a), x)","F",0
87,0,0,0,0.000000," ","integrate(x^(-3+m)*cosh(b*x+a),x, algorithm=""giac"")","\int x^{m - 3} \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m - 3)*cosh(b*x + a), x)","F",0
88,0,0,0,0.000000," ","integrate(x^(3+m)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m + 3} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m + 3)*cosh(b*x + a)^2, x)","F",0
89,0,0,0,0.000000," ","integrate(x^(2+m)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m + 2} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m + 2)*cosh(b*x + a)^2, x)","F",0
90,0,0,0,0.000000," ","integrate(x^(1+m)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m + 1} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m + 1)*cosh(b*x + a)^2, x)","F",0
91,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2, x)","F",0
92,0,0,0,0.000000," ","integrate(x^(-1+m)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m - 1} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m - 1)*cosh(b*x + a)^2, x)","F",0
93,0,0,0,0.000000," ","integrate(x^(-2+m)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m - 2} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m - 2)*cosh(b*x + a)^2, x)","F",0
94,0,0,0,0.000000," ","integrate(x^(-3+m)*cosh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m - 3} \cosh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m - 3)*cosh(b*x + a)^2, x)","F",0
95,0,0,0,0.000000," ","integrate(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x, algorithm=""giac"")","\int -\frac{1}{3} \, x \sqrt{\operatorname{sech}\left(x\right)} + \frac{x}{\operatorname{sech}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-1/3*x*sqrt(sech(x)) + x/sech(x)^(3/2), x)","F",0
96,0,0,0,0.000000," ","integrate(x/sech(x)^(5/2)-3/5*x/sech(x)^(1/2),x, algorithm=""giac"")","\int -\frac{3 \, x}{5 \, \sqrt{\operatorname{sech}\left(x\right)}} + \frac{x}{\operatorname{sech}\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(-3/5*x/sqrt(sech(x)) + x/sech(x)^(5/2), x)","F",0
97,0,0,0,0.000000," ","integrate(x/sech(x)^(7/2)-5/21*x*sech(x)^(1/2),x, algorithm=""giac"")","\int -\frac{5}{21} \, x \sqrt{\operatorname{sech}\left(x\right)} + \frac{x}{\operatorname{sech}\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(-5/21*x*sqrt(sech(x)) + x/sech(x)^(7/2), x)","F",0
98,0,0,0,0.000000," ","integrate(x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2),x, algorithm=""giac"")","\int -\frac{1}{3} \, x^{2} \sqrt{\operatorname{sech}\left(x\right)} + \frac{x^{2}}{\operatorname{sech}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-1/3*x^2*sqrt(sech(x)) + x^2/sech(x)^(3/2), x)","F",0
99,1,260,0,0.124790," ","integrate((d*x+c)^3*(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\frac{1}{4} \, a d^{3} x^{4} + a c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x + \frac{{\left(a d^{3} f^{3} x^{3} + 3 \, a c d^{2} f^{3} x^{2} + 3 \, a c^{2} d f^{3} x - 3 \, a d^{3} f^{2} x^{2} + a c^{3} f^{3} - 6 \, a c d^{2} f^{2} x - 3 \, a c^{2} d f^{2} + 6 \, a d^{3} f x + 6 \, a c d^{2} f - 6 \, a d^{3}\right)} e^{\left(f x + e\right)}}{2 \, f^{4}} - \frac{{\left(a d^{3} f^{3} x^{3} + 3 \, a c d^{2} f^{3} x^{2} + 3 \, a c^{2} d f^{3} x + 3 \, a d^{3} f^{2} x^{2} + a c^{3} f^{3} + 6 \, a c d^{2} f^{2} x + 3 \, a c^{2} d f^{2} + 6 \, a d^{3} f x + 6 \, a c d^{2} f + 6 \, a d^{3}\right)} e^{\left(-f x - e\right)}}{2 \, f^{4}}"," ",0,"1/4*a*d^3*x^4 + a*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + a*c^3*x + 1/2*(a*d^3*f^3*x^3 + 3*a*c*d^2*f^3*x^2 + 3*a*c^2*d*f^3*x - 3*a*d^3*f^2*x^2 + a*c^3*f^3 - 6*a*c*d^2*f^2*x - 3*a*c^2*d*f^2 + 6*a*d^3*f*x + 6*a*c*d^2*f - 6*a*d^3)*e^(f*x + e)/f^4 - 1/2*(a*d^3*f^3*x^3 + 3*a*c*d^2*f^3*x^2 + 3*a*c^2*d*f^3*x + 3*a*d^3*f^2*x^2 + a*c^3*f^3 + 6*a*c*d^2*f^2*x + 3*a*c^2*d*f^2 + 6*a*d^3*f*x + 6*a*c*d^2*f + 6*a*d^3)*e^(-f*x - e)/f^4","B",0
100,1,148,0,0.116328," ","integrate((d*x+c)^2*(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x + \frac{{\left(a d^{2} f^{2} x^{2} + 2 \, a c d f^{2} x + a c^{2} f^{2} - 2 \, a d^{2} f x - 2 \, a c d f + 2 \, a d^{2}\right)} e^{\left(f x + e\right)}}{2 \, f^{3}} - \frac{{\left(a d^{2} f^{2} x^{2} + 2 \, a c d f^{2} x + a c^{2} f^{2} + 2 \, a d^{2} f x + 2 \, a c d f + 2 \, a d^{2}\right)} e^{\left(-f x - e\right)}}{2 \, f^{3}}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x + 1/2*(a*d^2*f^2*x^2 + 2*a*c*d*f^2*x + a*c^2*f^2 - 2*a*d^2*f*x - 2*a*c*d*f + 2*a*d^2)*e^(f*x + e)/f^3 - 1/2*(a*d^2*f^2*x^2 + 2*a*c*d*f^2*x + a*c^2*f^2 + 2*a*d^2*f*x + 2*a*c*d*f + 2*a*d^2)*e^(-f*x - e)/f^3","B",0
101,1,66,0,0.115590," ","integrate((d*x+c)*(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{{\left(a d f x + a c f - a d\right)} e^{\left(f x + e\right)}}{2 \, f^{2}} - \frac{{\left(a d f x + a c f + a d\right)} e^{\left(-f x - e\right)}}{2 \, f^{2}}"," ",0,"1/2*a*d*x^2 + a*c*x + 1/2*(a*d*f*x + a*c*f - a*d)*e^(f*x + e)/f^2 - 1/2*(a*d*f*x + a*c*f + a*d)*e^(-f*x - e)/f^2","A",0
102,1,69,0,0.136628," ","integrate((a+a*cosh(f*x+e))/(d*x+c),x, algorithm=""giac"")","\frac{a {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + a {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 2 \, a \log\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(a*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + a*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 2*a*log(d*x + c))/d","A",0
103,1,683,0,0.161655," ","integrate((a+a*cosh(f*x+e))/(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{2} \, a {\left(\frac{{\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} - c f^{3} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} + d f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d} + 1\right)} - d f^{2} e^{\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{{\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f} - \frac{{\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} - c f^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} + d f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d} + 1\right)} + d f^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{{\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f}\right)} - \frac{a}{{\left(d x + c\right)} d}"," ",0,"-1/2*a*(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) - c*f^3*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) + d*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d + 1) - d*f^2*e^((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d))*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f) - ((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) - c*f^3*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) + d*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d + 1) + d*f^2*e^(-(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d))*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f)) - a/((d*x + c)*d)","B",0
104,1,328,0,0.122852," ","integrate((a+a*cosh(f*x+e))/(d*x+c)^3,x, algorithm=""giac"")","\frac{a d^{2} f^{2} x^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + a d^{2} f^{2} x^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 2 \, a c d f^{2} x {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 2 \, a c d f^{2} x {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + a c^{2} f^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + a c^{2} f^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} - a d^{2} f x e^{\left(f x + e\right)} + a d^{2} f x e^{\left(-f x - e\right)} - a c d f e^{\left(f x + e\right)} + a c d f e^{\left(-f x - e\right)} - a d^{2} e^{\left(f x + e\right)} - a d^{2} e^{\left(-f x - e\right)} - 2 \, a d^{2}}{4 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/4*(a*d^2*f^2*x^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + a*d^2*f^2*x^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 2*a*c*d*f^2*x*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 2*a*c*d*f^2*x*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + a*c^2*f^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + a*c^2*f^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) - a*d^2*f*x*e^(f*x + e) + a*d^2*f*x*e^(-f*x - e) - a*c*d*f*e^(f*x + e) + a*c*d*f*e^(-f*x - e) - a*d^2*e^(f*x + e) - a*d^2*e^(-f*x - e) - 2*a*d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
105,1,581,0,0.131209," ","integrate((d*x+c)^3*(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{3}{8} \, a^{2} d^{3} x^{4} + \frac{3}{2} \, a^{2} c d^{2} x^{3} + \frac{9}{4} \, a^{2} c^{2} d x^{2} + \frac{3}{2} \, a^{2} c^{3} x + \frac{{\left(4 \, a^{2} d^{3} f^{3} x^{3} + 12 \, a^{2} c d^{2} f^{3} x^{2} + 12 \, a^{2} c^{2} d f^{3} x - 6 \, a^{2} d^{3} f^{2} x^{2} + 4 \, a^{2} c^{3} f^{3} - 12 \, a^{2} c d^{2} f^{2} x - 6 \, a^{2} c^{2} d f^{2} + 6 \, a^{2} d^{3} f x + 6 \, a^{2} c d^{2} f - 3 \, a^{2} d^{3}\right)} e^{\left(2 \, f x + 2 \, e\right)}}{32 \, f^{4}} + \frac{{\left(a^{2} d^{3} f^{3} x^{3} + 3 \, a^{2} c d^{2} f^{3} x^{2} + 3 \, a^{2} c^{2} d f^{3} x - 3 \, a^{2} d^{3} f^{2} x^{2} + a^{2} c^{3} f^{3} - 6 \, a^{2} c d^{2} f^{2} x - 3 \, a^{2} c^{2} d f^{2} + 6 \, a^{2} d^{3} f x + 6 \, a^{2} c d^{2} f - 6 \, a^{2} d^{3}\right)} e^{\left(f x + e\right)}}{f^{4}} - \frac{{\left(a^{2} d^{3} f^{3} x^{3} + 3 \, a^{2} c d^{2} f^{3} x^{2} + 3 \, a^{2} c^{2} d f^{3} x + 3 \, a^{2} d^{3} f^{2} x^{2} + a^{2} c^{3} f^{3} + 6 \, a^{2} c d^{2} f^{2} x + 3 \, a^{2} c^{2} d f^{2} + 6 \, a^{2} d^{3} f x + 6 \, a^{2} c d^{2} f + 6 \, a^{2} d^{3}\right)} e^{\left(-f x - e\right)}}{f^{4}} - \frac{{\left(4 \, a^{2} d^{3} f^{3} x^{3} + 12 \, a^{2} c d^{2} f^{3} x^{2} + 12 \, a^{2} c^{2} d f^{3} x + 6 \, a^{2} d^{3} f^{2} x^{2} + 4 \, a^{2} c^{3} f^{3} + 12 \, a^{2} c d^{2} f^{2} x + 6 \, a^{2} c^{2} d f^{2} + 6 \, a^{2} d^{3} f x + 6 \, a^{2} c d^{2} f + 3 \, a^{2} d^{3}\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{32 \, f^{4}}"," ",0,"3/8*a^2*d^3*x^4 + 3/2*a^2*c*d^2*x^3 + 9/4*a^2*c^2*d*x^2 + 3/2*a^2*c^3*x + 1/32*(4*a^2*d^3*f^3*x^3 + 12*a^2*c*d^2*f^3*x^2 + 12*a^2*c^2*d*f^3*x - 6*a^2*d^3*f^2*x^2 + 4*a^2*c^3*f^3 - 12*a^2*c*d^2*f^2*x - 6*a^2*c^2*d*f^2 + 6*a^2*d^3*f*x + 6*a^2*c*d^2*f - 3*a^2*d^3)*e^(2*f*x + 2*e)/f^4 + (a^2*d^3*f^3*x^3 + 3*a^2*c*d^2*f^3*x^2 + 3*a^2*c^2*d*f^3*x - 3*a^2*d^3*f^2*x^2 + a^2*c^3*f^3 - 6*a^2*c*d^2*f^2*x - 3*a^2*c^2*d*f^2 + 6*a^2*d^3*f*x + 6*a^2*c*d^2*f - 6*a^2*d^3)*e^(f*x + e)/f^4 - (a^2*d^3*f^3*x^3 + 3*a^2*c*d^2*f^3*x^2 + 3*a^2*c^2*d*f^3*x + 3*a^2*d^3*f^2*x^2 + a^2*c^3*f^3 + 6*a^2*c*d^2*f^2*x + 3*a^2*c^2*d*f^2 + 6*a^2*d^3*f*x + 6*a^2*c*d^2*f + 6*a^2*d^3)*e^(-f*x - e)/f^4 - 1/32*(4*a^2*d^3*f^3*x^3 + 12*a^2*c*d^2*f^3*x^2 + 12*a^2*c^2*d*f^3*x + 6*a^2*d^3*f^2*x^2 + 4*a^2*c^3*f^3 + 12*a^2*c*d^2*f^2*x + 6*a^2*c^2*d*f^2 + 6*a^2*d^3*f*x + 6*a^2*c*d^2*f + 3*a^2*d^3)*e^(-2*f*x - 2*e)/f^4","B",0
106,1,333,0,0.129060," ","integrate((d*x+c)^2*(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{2} \, a^{2} d^{2} x^{3} + \frac{3}{2} \, a^{2} c d x^{2} + \frac{3}{2} \, a^{2} c^{2} x + \frac{{\left(2 \, a^{2} d^{2} f^{2} x^{2} + 4 \, a^{2} c d f^{2} x + 2 \, a^{2} c^{2} f^{2} - 2 \, a^{2} d^{2} f x - 2 \, a^{2} c d f + a^{2} d^{2}\right)} e^{\left(2 \, f x + 2 \, e\right)}}{16 \, f^{3}} + \frac{{\left(a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} c d f^{2} x + a^{2} c^{2} f^{2} - 2 \, a^{2} d^{2} f x - 2 \, a^{2} c d f + 2 \, a^{2} d^{2}\right)} e^{\left(f x + e\right)}}{f^{3}} - \frac{{\left(a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} c d f^{2} x + a^{2} c^{2} f^{2} + 2 \, a^{2} d^{2} f x + 2 \, a^{2} c d f + 2 \, a^{2} d^{2}\right)} e^{\left(-f x - e\right)}}{f^{3}} - \frac{{\left(2 \, a^{2} d^{2} f^{2} x^{2} + 4 \, a^{2} c d f^{2} x + 2 \, a^{2} c^{2} f^{2} + 2 \, a^{2} d^{2} f x + 2 \, a^{2} c d f + a^{2} d^{2}\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{16 \, f^{3}}"," ",0,"1/2*a^2*d^2*x^3 + 3/2*a^2*c*d*x^2 + 3/2*a^2*c^2*x + 1/16*(2*a^2*d^2*f^2*x^2 + 4*a^2*c*d*f^2*x + 2*a^2*c^2*f^2 - 2*a^2*d^2*f*x - 2*a^2*c*d*f + a^2*d^2)*e^(2*f*x + 2*e)/f^3 + (a^2*d^2*f^2*x^2 + 2*a^2*c*d*f^2*x + a^2*c^2*f^2 - 2*a^2*d^2*f*x - 2*a^2*c*d*f + 2*a^2*d^2)*e^(f*x + e)/f^3 - (a^2*d^2*f^2*x^2 + 2*a^2*c*d*f^2*x + a^2*c^2*f^2 + 2*a^2*d^2*f*x + 2*a^2*c*d*f + 2*a^2*d^2)*e^(-f*x - e)/f^3 - 1/16*(2*a^2*d^2*f^2*x^2 + 4*a^2*c*d*f^2*x + 2*a^2*c^2*f^2 + 2*a^2*d^2*f*x + 2*a^2*c*d*f + a^2*d^2)*e^(-2*f*x - 2*e)/f^3","B",0
107,1,155,0,0.134620," ","integrate((d*x+c)*(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{3}{4} \, a^{2} d x^{2} + \frac{3}{2} \, a^{2} c x + \frac{{\left(2 \, a^{2} d f x + 2 \, a^{2} c f - a^{2} d\right)} e^{\left(2 \, f x + 2 \, e\right)}}{16 \, f^{2}} + \frac{{\left(a^{2} d f x + a^{2} c f - a^{2} d\right)} e^{\left(f x + e\right)}}{f^{2}} - \frac{{\left(a^{2} d f x + a^{2} c f + a^{2} d\right)} e^{\left(-f x - e\right)}}{f^{2}} - \frac{{\left(2 \, a^{2} d f x + 2 \, a^{2} c f + a^{2} d\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{16 \, f^{2}}"," ",0,"3/4*a^2*d*x^2 + 3/2*a^2*c*x + 1/16*(2*a^2*d*f*x + 2*a^2*c*f - a^2*d)*e^(2*f*x + 2*e)/f^2 + (a^2*d*f*x + a^2*c*f - a^2*d)*e^(f*x + e)/f^2 - (a^2*d*f*x + a^2*c*f + a^2*d)*e^(-f*x - e)/f^2 - 1/16*(2*a^2*d*f*x + 2*a^2*c*f + a^2*d)*e^(-2*f*x - 2*e)/f^2","A",0
108,1,139,0,0.150358," ","integrate((a+a*cosh(f*x+e))^2/(d*x+c),x, algorithm=""giac"")","\frac{a^{2} {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 4 \, a^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 4 \, a^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + a^{2} {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} + 6 \, a^{2} \log\left(d x + c\right)}{4 \, d}"," ",0,"1/4*(a^2*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 4*a^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 4*a^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + a^2*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) + 6*a^2*log(d*x + c))/d","A",0
109,1,1226,0,0.243789," ","integrate((a+a*cosh(f*x+e))^2/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(d x + c\right)} a^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right)} - 2 \, a^{2} c f^{3} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right)} + 4 \, {\left(d x + c\right)} a^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} - 4 \, a^{2} c f^{3} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} - 4 \, {\left(d x + c\right)} a^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} + 4 \, a^{2} c f^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} - 2 \, {\left(d x + c\right)} a^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(c f - d e\right)}}{d}\right)} + 2 \, a^{2} c f^{3} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(c f - d e\right)}}{d}\right)} + 2 \, a^{2} d f^{2} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(\frac{2 \, {\left(c f - d e\right)}}{d} + 1\right)} + 4 \, a^{2} d f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d} + 1\right)} - 4 \, a^{2} d f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d} + 1\right)} - 2 \, a^{2} d f^{2} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(c f - d e\right)}}{d} + 1\right)} - a^{2} d f^{2} e^{\left(\frac{2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - 4 \, a^{2} d f^{2} e^{\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - 4 \, a^{2} d f^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - a^{2} d f^{2} e^{\left(-\frac{2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - 6 \, a^{2} d f^{2}\right)} d^{2}}{4 \, {\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f}"," ",0,"-1/4*(2*(d*x + c)*a^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(2*(c*f - d*e)/d) - 2*a^2*c*f^3*Ei(2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(2*(c*f - d*e)/d) + 4*(d*x + c)*a^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) - 4*a^2*c*f^3*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) - 4*(d*x + c)*a^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) + 4*a^2*c*f^3*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) - 2*(d*x + c)*a^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-2*(c*f - d*e)/d) + 2*a^2*c*f^3*Ei(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-2*(c*f - d*e)/d) + 2*a^2*d*f^2*Ei(2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(2*(c*f - d*e)/d + 1) + 4*a^2*d*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d + 1) - 4*a^2*d*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d + 1) - 2*a^2*d*f^2*Ei(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-2*(c*f - d*e)/d + 1) - a^2*d*f^2*e^(2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a^2*d*f^2*e^((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a^2*d*f^2*e^(-(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - a^2*d*f^2*e^(-2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 6*a^2*d*f^2)*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f)","B",0
110,1,706,0,0.138065," ","integrate((a+a*cosh(f*x+e))^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{4 \, a^{2} d^{2} f^{2} x^{2} {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 4 \, a^{2} d^{2} f^{2} x^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 4 \, a^{2} d^{2} f^{2} x^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 4 \, a^{2} d^{2} f^{2} x^{2} {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} + 8 \, a^{2} c d f^{2} x {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 8 \, a^{2} c d f^{2} x {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 8 \, a^{2} c d f^{2} x {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 8 \, a^{2} c d f^{2} x {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} + 4 \, a^{2} c^{2} f^{2} {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 4 \, a^{2} c^{2} f^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 4 \, a^{2} c^{2} f^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 4 \, a^{2} c^{2} f^{2} {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} - 2 \, a^{2} d^{2} f x e^{\left(2 \, f x + 2 \, e\right)} - 4 \, a^{2} d^{2} f x e^{\left(f x + e\right)} + 4 \, a^{2} d^{2} f x e^{\left(-f x - e\right)} + 2 \, a^{2} d^{2} f x e^{\left(-2 \, f x - 2 \, e\right)} - 2 \, a^{2} c d f e^{\left(2 \, f x + 2 \, e\right)} - 4 \, a^{2} c d f e^{\left(f x + e\right)} + 4 \, a^{2} c d f e^{\left(-f x - e\right)} + 2 \, a^{2} c d f e^{\left(-2 \, f x - 2 \, e\right)} - a^{2} d^{2} e^{\left(2 \, f x + 2 \, e\right)} - 4 \, a^{2} d^{2} e^{\left(f x + e\right)} - 4 \, a^{2} d^{2} e^{\left(-f x - e\right)} - a^{2} d^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 6 \, a^{2} d^{2}}{8 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/8*(4*a^2*d^2*f^2*x^2*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 4*a^2*d^2*f^2*x^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 4*a^2*d^2*f^2*x^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 4*a^2*d^2*f^2*x^2*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) + 8*a^2*c*d*f^2*x*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 8*a^2*c*d*f^2*x*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 8*a^2*c*d*f^2*x*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 8*a^2*c*d*f^2*x*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) + 4*a^2*c^2*f^2*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 4*a^2*c^2*f^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 4*a^2*c^2*f^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 4*a^2*c^2*f^2*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) - 2*a^2*d^2*f*x*e^(2*f*x + 2*e) - 4*a^2*d^2*f*x*e^(f*x + e) + 4*a^2*d^2*f*x*e^(-f*x - e) + 2*a^2*d^2*f*x*e^(-2*f*x - 2*e) - 2*a^2*c*d*f*e^(2*f*x + 2*e) - 4*a^2*c*d*f*e^(f*x + e) + 4*a^2*c*d*f*e^(-f*x - e) + 2*a^2*c*d*f*e^(-2*f*x - 2*e) - a^2*d^2*e^(2*f*x + 2*e) - 4*a^2*d^2*e^(f*x + e) - 4*a^2*d^2*e^(-f*x - e) - a^2*d^2*e^(-2*f*x - 2*e) - 6*a^2*d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
111,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{a \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^3/(a*cosh(f*x + e) + a), x)","F",0
112,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{a \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^2/(a*cosh(f*x + e) + a), x)","F",0
113,1,71,0,0.123056," ","integrate((d*x+c)/(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\frac{2 \, {\left(d f x e^{\left(f x + e\right)} - d e^{\left(f x + e\right)} \log\left(e^{\left(f x + e\right)} + 1\right) - c f - d \log\left(e^{\left(f x + e\right)} + 1\right)\right)}}{a f^{2} e^{\left(f x + e\right)} + a f^{2}}"," ",0,"2*(d*f*x*e^(f*x + e) - d*e^(f*x + e)*log(e^(f*x + e) + 1) - c*f - d*log(e^(f*x + e) + 1))/(a*f^2*e^(f*x + e) + a*f^2)","A",0
114,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(a \cosh\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(a*cosh(f*x + e) + a)), x)","F",0
115,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(a \cosh\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(a*cosh(f*x + e) + a)), x)","F",0
116,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(a \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3/(a*cosh(f*x + e) + a)^2, x)","F",0
117,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(a \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2/(a*cosh(f*x + e) + a)^2, x)","F",0
118,1,207,0,0.125659," ","integrate((d*x+c)/(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{2 \, {\left(d f x e^{\left(3 \, f x + 3 \, e\right)} + 3 \, d f x e^{\left(2 \, f x + 2 \, e\right)} - 3 \, c f e^{\left(f x + e\right)} - d e^{\left(3 \, f x + 3 \, e\right)} \log\left(e^{\left(f x + e\right)} + 1\right) - 3 \, d e^{\left(2 \, f x + 2 \, e\right)} \log\left(e^{\left(f x + e\right)} + 1\right) - 3 \, d e^{\left(f x + e\right)} \log\left(e^{\left(f x + e\right)} + 1\right) - c f + d e^{\left(2 \, f x + 2 \, e\right)} + d e^{\left(f x + e\right)} - d \log\left(e^{\left(f x + e\right)} + 1\right)\right)}}{3 \, {\left(a^{2} f^{2} e^{\left(3 \, f x + 3 \, e\right)} + 3 \, a^{2} f^{2} e^{\left(2 \, f x + 2 \, e\right)} + 3 \, a^{2} f^{2} e^{\left(f x + e\right)} + a^{2} f^{2}\right)}}"," ",0,"2/3*(d*f*x*e^(3*f*x + 3*e) + 3*d*f*x*e^(2*f*x + 2*e) - 3*c*f*e^(f*x + e) - d*e^(3*f*x + 3*e)*log(e^(f*x + e) + 1) - 3*d*e^(2*f*x + 2*e)*log(e^(f*x + e) + 1) - 3*d*e^(f*x + e)*log(e^(f*x + e) + 1) - c*f + d*e^(2*f*x + 2*e) + d*e^(f*x + e) - d*log(e^(f*x + e) + 1))/(a^2*f^2*e^(3*f*x + 3*e) + 3*a^2*f^2*e^(2*f*x + 2*e) + 3*a^2*f^2*e^(f*x + e) + a^2*f^2)","B",0
119,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(a \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(a*cosh(f*x + e) + a)^2), x)","F",0
120,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(a \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(a*cosh(f*x + e) + a)^2), x)","F",0
121,1,147,0,0.124986," ","integrate(x^3*(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{a} d^{3} x^{3} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - \sqrt{a} d^{3} x^{3} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} - 6 \, \sqrt{a} d^{2} x^{2} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 6 \, \sqrt{a} d^{2} x^{2} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + 24 \, \sqrt{a} d x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 24 \, \sqrt{a} d x e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} - 48 \, \sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 48 \, \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}\right)}}{d^{4}}"," ",0,"sqrt(2)*(sqrt(a)*d^3*x^3*e^(1/2*d*x + 1/2*c) - sqrt(a)*d^3*x^3*e^(-1/2*d*x - 1/2*c) - 6*sqrt(a)*d^2*x^2*e^(1/2*d*x + 1/2*c) - 6*sqrt(a)*d^2*x^2*e^(-1/2*d*x - 1/2*c) + 24*sqrt(a)*d*x*e^(1/2*d*x + 1/2*c) - 24*sqrt(a)*d*x*e^(-1/2*d*x - 1/2*c) - 48*sqrt(a)*e^(1/2*d*x + 1/2*c) - 48*sqrt(a)*e^(-1/2*d*x - 1/2*c))/d^4","A",0
122,1,107,0,0.140593," ","integrate(x^2*(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{a} d^{2} x^{2} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - \sqrt{a} d^{2} x^{2} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} - 4 \, \sqrt{a} d x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 4 \, \sqrt{a} d x e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} + 8 \, \sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 8 \, \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}\right)}}{d^{3}}"," ",0,"sqrt(2)*(sqrt(a)*d^2*x^2*e^(1/2*d*x + 1/2*c) - sqrt(a)*d^2*x^2*e^(-1/2*d*x - 1/2*c) - 4*sqrt(a)*d*x*e^(1/2*d*x + 1/2*c) - 4*sqrt(a)*d*x*e^(-1/2*d*x - 1/2*c) + 8*sqrt(a)*e^(1/2*d*x + 1/2*c) - 8*sqrt(a)*e^(-1/2*d*x - 1/2*c))/d^3","A",0
123,1,67,0,0.133590," ","integrate(x*(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{a} d x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - \sqrt{a} d x e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} - 2 \, \sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 2 \, \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}\right)}}{d^{2}}"," ",0,"sqrt(2)*(sqrt(a)*d*x*e^(1/2*d*x + 1/2*c) - sqrt(a)*d*x*e^(-1/2*d*x - 1/2*c) - 2*sqrt(a)*e^(1/2*d*x + 1/2*c) - 2*sqrt(a)*e^(-1/2*d*x - 1/2*c))/d^2","A",0
124,1,32,0,0.117193," ","integrate((a+a*cosh(d*x+c))^(1/2)/x,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} {\left(\sqrt{a} {\rm Ei}\left(\frac{1}{2} \, d x\right) e^{\left(\frac{1}{2} \, c\right)} + \sqrt{a} {\rm Ei}\left(-\frac{1}{2} \, d x\right) e^{\left(-\frac{1}{2} \, c\right)}\right)}"," ",0,"1/2*sqrt(2)*(sqrt(a)*Ei(1/2*d*x)*e^(1/2*c) + sqrt(a)*Ei(-1/2*d*x)*e^(-1/2*c))","A",0
125,1,68,0,0.137476," ","integrate((a+a*cosh(d*x+c))^(1/2)/x^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{a} d x {\rm Ei}\left(\frac{1}{2} \, d x\right) e^{\left(\frac{1}{2} \, c\right)} - \sqrt{a} d x {\rm Ei}\left(-\frac{1}{2} \, d x\right) e^{\left(-\frac{1}{2} \, c\right)} - 2 \, \sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 2 \, \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}\right)}}{4 \, x}"," ",0,"1/4*sqrt(2)*(sqrt(a)*d*x*Ei(1/2*d*x)*e^(1/2*c) - sqrt(a)*d*x*Ei(-1/2*d*x)*e^(-1/2*c) - 2*sqrt(a)*e^(1/2*d*x + 1/2*c) - 2*sqrt(a)*e^(-1/2*d*x - 1/2*c))/x","A",0
126,1,107,0,0.130640," ","integrate((a+a*cosh(d*x+c))^(1/2)/x^3,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{a} d^{2} x^{2} {\rm Ei}\left(\frac{1}{2} \, d x\right) e^{\left(\frac{1}{2} \, c\right)} + \sqrt{a} d^{2} x^{2} {\rm Ei}\left(-\frac{1}{2} \, d x\right) e^{\left(-\frac{1}{2} \, c\right)} - 2 \, \sqrt{a} d x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + 2 \, \sqrt{a} d x e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} - 4 \, \sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - 4 \, \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}\right)}}{16 \, x^{2}}"," ",0,"1/16*sqrt(2)*(sqrt(a)*d^2*x^2*Ei(1/2*d*x)*e^(1/2*c) + sqrt(a)*d^2*x^2*Ei(-1/2*d*x)*e^(-1/2*c) - 2*sqrt(a)*d*x*e^(1/2*d*x + 1/2*c) + 2*sqrt(a)*d*x*e^(-1/2*d*x - 1/2*c) - 4*sqrt(a)*e^(1/2*d*x + 1/2*c) - 4*sqrt(a)*e^(-1/2*d*x - 1/2*c))/x^2","A",0
127,0,0,0,0.000000," ","integrate(x^3*(a+a*cosh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cosh\left(x\right) + a} x^{3}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + a)*x^3, x)","F",0
128,0,0,0,0.000000," ","integrate(x^2*(a+a*cosh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cosh\left(x\right) + a} x^{2}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + a)*x^2, x)","F",0
129,0,0,0,0.000000," ","integrate(x*(a+a*cosh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cosh\left(x\right) + a} x\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + a)*x, x)","F",0
130,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{a \cosh\left(x\right) + a}}{x}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + a)/x, x)","F",0
131,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{a \cosh\left(x\right) + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + a)/x^2, x)","F",0
132,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(1/2)/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{a \cosh\left(x\right) + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + a)/x^3, x)","F",0
133,1,192,0,0.135254," ","integrate(x^3*(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{54} \, \sqrt{2} {\left(54 \, a^{\frac{3}{2}} x^{3} e^{\left(-\frac{1}{2} \, x\right)} + 9 \, a^{\frac{3}{2}} x^{3} e^{\left(-\frac{3}{2} \, x\right)} + 324 \, a^{\frac{3}{2}} x^{2} e^{\left(-\frac{1}{2} \, x\right)} + 18 \, a^{\frac{3}{2}} x^{2} e^{\left(-\frac{3}{2} \, x\right)} + 1296 \, a^{\frac{3}{2}} x e^{\left(-\frac{1}{2} \, x\right)} + 24 \, a^{\frac{3}{2}} x e^{\left(-\frac{3}{2} \, x\right)} + 2592 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)} + 16 \, a^{\frac{3}{2}} e^{\left(-\frac{3}{2} \, x\right)} - {\left(9 \, a^{\frac{3}{2}} x^{3} - 18 \, a^{\frac{3}{2}} x^{2} + 24 \, a^{\frac{3}{2}} x - 16 \, a^{\frac{3}{2}}\right)} e^{\left(\frac{3}{2} \, x\right)} - 81 \, {\left(a^{\frac{3}{2}} x^{3} - 6 \, a^{\frac{3}{2}} x^{2} + 24 \, a^{\frac{3}{2}} x - 48 \, a^{\frac{3}{2}}\right)} e^{\left(\frac{1}{2} \, x\right)} + 27 \, {\left(a^{\frac{3}{2}} x^{3} + 6 \, a^{\frac{3}{2}} x^{2} + 24 \, a^{\frac{3}{2}} x + 48 \, a^{\frac{3}{2}}\right)} e^{\left(-\frac{1}{2} \, x\right)}\right)}"," ",0,"-1/54*sqrt(2)*(54*a^(3/2)*x^3*e^(-1/2*x) + 9*a^(3/2)*x^3*e^(-3/2*x) + 324*a^(3/2)*x^2*e^(-1/2*x) + 18*a^(3/2)*x^2*e^(-3/2*x) + 1296*a^(3/2)*x*e^(-1/2*x) + 24*a^(3/2)*x*e^(-3/2*x) + 2592*a^(3/2)*e^(-1/2*x) + 16*a^(3/2)*e^(-3/2*x) - (9*a^(3/2)*x^3 - 18*a^(3/2)*x^2 + 24*a^(3/2)*x - 16*a^(3/2))*e^(3/2*x) - 81*(a^(3/2)*x^3 - 6*a^(3/2)*x^2 + 24*a^(3/2)*x - 48*a^(3/2))*e^(1/2*x) + 27*(a^(3/2)*x^3 + 6*a^(3/2)*x^2 + 24*a^(3/2)*x + 48*a^(3/2))*e^(-1/2*x))","A",0
134,1,144,0,0.129672," ","integrate(x^2*(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{54} \, \sqrt{2} {\left(54 \, a^{\frac{3}{2}} x^{2} e^{\left(-\frac{1}{2} \, x\right)} + 9 \, a^{\frac{3}{2}} x^{2} e^{\left(-\frac{3}{2} \, x\right)} + 216 \, a^{\frac{3}{2}} x e^{\left(-\frac{1}{2} \, x\right)} + 12 \, a^{\frac{3}{2}} x e^{\left(-\frac{3}{2} \, x\right)} + 432 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)} + 8 \, a^{\frac{3}{2}} e^{\left(-\frac{3}{2} \, x\right)} - {\left(9 \, a^{\frac{3}{2}} x^{2} - 12 \, a^{\frac{3}{2}} x + 8 \, a^{\frac{3}{2}}\right)} e^{\left(\frac{3}{2} \, x\right)} - 81 \, {\left(a^{\frac{3}{2}} x^{2} - 4 \, a^{\frac{3}{2}} x + 8 \, a^{\frac{3}{2}}\right)} e^{\left(\frac{1}{2} \, x\right)} + 27 \, {\left(a^{\frac{3}{2}} x^{2} + 4 \, a^{\frac{3}{2}} x + 8 \, a^{\frac{3}{2}}\right)} e^{\left(-\frac{1}{2} \, x\right)}\right)}"," ",0,"-1/54*sqrt(2)*(54*a^(3/2)*x^2*e^(-1/2*x) + 9*a^(3/2)*x^2*e^(-3/2*x) + 216*a^(3/2)*x*e^(-1/2*x) + 12*a^(3/2)*x*e^(-3/2*x) + 432*a^(3/2)*e^(-1/2*x) + 8*a^(3/2)*e^(-3/2*x) - (9*a^(3/2)*x^2 - 12*a^(3/2)*x + 8*a^(3/2))*e^(3/2*x) - 81*(a^(3/2)*x^2 - 4*a^(3/2)*x + 8*a^(3/2))*e^(1/2*x) + 27*(a^(3/2)*x^2 + 4*a^(3/2)*x + 8*a^(3/2))*e^(-1/2*x))","A",0
135,1,96,0,0.141867," ","integrate(x*(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{18} \, \sqrt{2} {\left(18 \, a^{\frac{3}{2}} x e^{\left(-\frac{1}{2} \, x\right)} + 3 \, a^{\frac{3}{2}} x e^{\left(-\frac{3}{2} \, x\right)} + 36 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-\frac{3}{2} \, x\right)} - {\left(3 \, a^{\frac{3}{2}} x - 2 \, a^{\frac{3}{2}}\right)} e^{\left(\frac{3}{2} \, x\right)} - 27 \, {\left(a^{\frac{3}{2}} x - 2 \, a^{\frac{3}{2}}\right)} e^{\left(\frac{1}{2} \, x\right)} + 9 \, {\left(a^{\frac{3}{2}} x + 2 \, a^{\frac{3}{2}}\right)} e^{\left(-\frac{1}{2} \, x\right)}\right)}"," ",0,"-1/18*sqrt(2)*(18*a^(3/2)*x*e^(-1/2*x) + 3*a^(3/2)*x*e^(-3/2*x) + 36*a^(3/2)*e^(-1/2*x) + 2*a^(3/2)*e^(-3/2*x) - (3*a^(3/2)*x - 2*a^(3/2))*e^(3/2*x) - 27*(a^(3/2)*x - 2*a^(3/2))*e^(1/2*x) + 9*(a^(3/2)*x + 2*a^(3/2))*e^(-1/2*x))","A",0
136,1,40,0,0.149142," ","integrate((a+a*cosh(x))^(3/2)/x,x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} {\left(a^{\frac{3}{2}} {\rm Ei}\left(\frac{3}{2} \, x\right) + 3 \, a^{\frac{3}{2}} {\rm Ei}\left(\frac{1}{2} \, x\right) + 3 \, a^{\frac{3}{2}} {\rm Ei}\left(-\frac{1}{2} \, x\right) + a^{\frac{3}{2}} {\rm Ei}\left(-\frac{3}{2} \, x\right)\right)}"," ",0,"1/4*sqrt(2)*(a^(3/2)*Ei(3/2*x) + 3*a^(3/2)*Ei(1/2*x) + 3*a^(3/2)*Ei(-1/2*x) + a^(3/2)*Ei(-3/2*x))","A",0
137,1,112,0,0.151465," ","integrate((a+a*cosh(x))^(3/2)/x^2,x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{2} {\left(\frac{3 \, a^{\frac{3}{2}} x {\rm Ei}\left(\frac{3}{2} \, x\right) + 3 \, a^{\frac{3}{2}} x {\rm Ei}\left(\frac{1}{2} \, x\right) - a^{\frac{3}{2}} x {\rm Ei}\left(-\frac{1}{2} \, x\right) - 2 \, a^{\frac{3}{2}} e^{\left(\frac{3}{2} \, x\right)} - 6 \, a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, x\right)} - 2 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)}}{x} - \frac{2 \, a^{\frac{3}{2}} x {\rm Ei}\left(-\frac{1}{2} \, x\right) + 3 \, a^{\frac{3}{2}} x {\rm Ei}\left(-\frac{3}{2} \, x\right) + 4 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)} + 2 \, a^{\frac{3}{2}} e^{\left(-\frac{3}{2} \, x\right)}}{x}\right)}"," ",0,"1/8*sqrt(2)*((3*a^(3/2)*x*Ei(3/2*x) + 3*a^(3/2)*x*Ei(1/2*x) - a^(3/2)*x*Ei(-1/2*x) - 2*a^(3/2)*e^(3/2*x) - 6*a^(3/2)*e^(1/2*x) - 2*a^(3/2)*e^(-1/2*x))/x - (2*a^(3/2)*x*Ei(-1/2*x) + 3*a^(3/2)*x*Ei(-3/2*x) + 4*a^(3/2)*e^(-1/2*x) + 2*a^(3/2)*e^(-3/2*x))/x)","A",0
138,1,170,0,0.149820," ","integrate((a+a*cosh(x))^(3/2)/x^3,x, algorithm=""giac"")","\frac{1}{32} \, \sqrt{2} {\left(\frac{9 \, a^{\frac{3}{2}} x^{2} {\rm Ei}\left(\frac{3}{2} \, x\right) + 3 \, a^{\frac{3}{2}} x^{2} {\rm Ei}\left(\frac{1}{2} \, x\right) + a^{\frac{3}{2}} x^{2} {\rm Ei}\left(-\frac{1}{2} \, x\right) - 6 \, a^{\frac{3}{2}} x e^{\left(\frac{3}{2} \, x\right)} - 6 \, a^{\frac{3}{2}} x e^{\left(\frac{1}{2} \, x\right)} + 2 \, a^{\frac{3}{2}} x e^{\left(-\frac{1}{2} \, x\right)} - 4 \, a^{\frac{3}{2}} e^{\left(\frac{3}{2} \, x\right)} - 12 \, a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, x\right)} - 4 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)}}{x^{2}} + \frac{2 \, a^{\frac{3}{2}} x^{2} {\rm Ei}\left(-\frac{1}{2} \, x\right) + 9 \, a^{\frac{3}{2}} x^{2} {\rm Ei}\left(-\frac{3}{2} \, x\right) + 4 \, a^{\frac{3}{2}} x e^{\left(-\frac{1}{2} \, x\right)} + 6 \, a^{\frac{3}{2}} x e^{\left(-\frac{3}{2} \, x\right)} - 8 \, a^{\frac{3}{2}} e^{\left(-\frac{1}{2} \, x\right)} - 4 \, a^{\frac{3}{2}} e^{\left(-\frac{3}{2} \, x\right)}}{x^{2}}\right)}"," ",0,"1/32*sqrt(2)*((9*a^(3/2)*x^2*Ei(3/2*x) + 3*a^(3/2)*x^2*Ei(1/2*x) + a^(3/2)*x^2*Ei(-1/2*x) - 6*a^(3/2)*x*e^(3/2*x) - 6*a^(3/2)*x*e^(1/2*x) + 2*a^(3/2)*x*e^(-1/2*x) - 4*a^(3/2)*e^(3/2*x) - 12*a^(3/2)*e^(1/2*x) - 4*a^(3/2)*e^(-1/2*x))/x^2 + (2*a^(3/2)*x^2*Ei(-1/2*x) + 9*a^(3/2)*x^2*Ei(-3/2*x) + 4*a^(3/2)*x*e^(-1/2*x) + 6*a^(3/2)*x*e^(-3/2*x) - 8*a^(3/2)*e^(-1/2*x) - 4*a^(3/2)*e^(-3/2*x))/x^2)","B",0
139,0,0,0,0.000000," ","integrate(x^3/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{a \cosh\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(x^3/sqrt(a*cosh(d*x + c) + a), x)","F",0
140,0,0,0,0.000000," ","integrate(x^2/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{a \cosh\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(a*cosh(d*x + c) + a), x)","F",0
141,0,0,0,0.000000," ","integrate(x/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{a \cosh\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(x/sqrt(a*cosh(d*x + c) + a), x)","F",0
142,0,0,0,0.000000," ","integrate(1/x/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \cosh\left(d x + c\right) + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(a*cosh(d*x + c) + a)*x), x)","F",0
143,0,0,0,0.000000," ","integrate(1/x^2/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \cosh\left(d x + c\right) + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a*cosh(d*x + c) + a)*x^2), x)","F",0
144,0,0,0,0.000000," ","integrate(x^3/(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(a*cosh(x) + a)^(3/2), x)","F",0
145,0,0,0,0.000000," ","integrate(x^2/(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(a*cosh(x) + a)^(3/2), x)","F",0
146,0,0,0,0.000000," ","integrate(x/(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{x}{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(a*cosh(x) + a)^(3/2), x)","F",0
147,0,0,0,0.000000," ","integrate(1/x/(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((a*cosh(x) + a)^(3/2)*x), x)","F",0
148,0,0,0,0.000000," ","integrate(1/x^2/(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a*cosh(x) + a)^(3/2)*x^2), x)","F",0
149,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))^(1/3)/x,x, algorithm=""giac"")","\int \frac{{\left(a \cosh\left(d x + c\right) + a\right)}^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((a*cosh(d*x + c) + a)^(1/3)/x, x)","F",0
150,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e))^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} {\left(a \cosh\left(f x + e\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(a*cosh(f*x + e) + a)^n, x)","F",0
151,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e))^3,x, algorithm=""giac"")","\int {\left(a \cosh\left(f x + e\right) + a\right)}^{3} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*cosh(f*x + e) + a)^3*(d*x + c)^m, x)","F",0
152,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\int {\left(a \cosh\left(f x + e\right) + a\right)}^{2} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*cosh(f*x + e) + a)^2*(d*x + c)^m, x)","F",0
153,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\int {\left(a \cosh\left(f x + e\right) + a\right)} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*cosh(f*x + e) + a)*(d*x + c)^m, x)","F",0
154,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{a \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*cosh(f*x + e) + a), x)","F",0
155,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(a \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*cosh(f*x + e) + a)^2, x)","F",0
156,1,260,0,0.118942," ","integrate((d*x+c)^3*(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\frac{1}{4} \, a d^{3} x^{4} + a c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x + \frac{{\left(b d^{3} f^{3} x^{3} + 3 \, b c d^{2} f^{3} x^{2} + 3 \, b c^{2} d f^{3} x - 3 \, b d^{3} f^{2} x^{2} + b c^{3} f^{3} - 6 \, b c d^{2} f^{2} x - 3 \, b c^{2} d f^{2} + 6 \, b d^{3} f x + 6 \, b c d^{2} f - 6 \, b d^{3}\right)} e^{\left(f x + e\right)}}{2 \, f^{4}} - \frac{{\left(b d^{3} f^{3} x^{3} + 3 \, b c d^{2} f^{3} x^{2} + 3 \, b c^{2} d f^{3} x + 3 \, b d^{3} f^{2} x^{2} + b c^{3} f^{3} + 6 \, b c d^{2} f^{2} x + 3 \, b c^{2} d f^{2} + 6 \, b d^{3} f x + 6 \, b c d^{2} f + 6 \, b d^{3}\right)} e^{\left(-f x - e\right)}}{2 \, f^{4}}"," ",0,"1/4*a*d^3*x^4 + a*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + a*c^3*x + 1/2*(b*d^3*f^3*x^3 + 3*b*c*d^2*f^3*x^2 + 3*b*c^2*d*f^3*x - 3*b*d^3*f^2*x^2 + b*c^3*f^3 - 6*b*c*d^2*f^2*x - 3*b*c^2*d*f^2 + 6*b*d^3*f*x + 6*b*c*d^2*f - 6*b*d^3)*e^(f*x + e)/f^4 - 1/2*(b*d^3*f^3*x^3 + 3*b*c*d^2*f^3*x^2 + 3*b*c^2*d*f^3*x + 3*b*d^3*f^2*x^2 + b*c^3*f^3 + 6*b*c*d^2*f^2*x + 3*b*c^2*d*f^2 + 6*b*d^3*f*x + 6*b*c*d^2*f + 6*b*d^3)*e^(-f*x - e)/f^4","B",0
157,1,148,0,0.140978," ","integrate((d*x+c)^2*(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x + \frac{{\left(b d^{2} f^{2} x^{2} + 2 \, b c d f^{2} x + b c^{2} f^{2} - 2 \, b d^{2} f x - 2 \, b c d f + 2 \, b d^{2}\right)} e^{\left(f x + e\right)}}{2 \, f^{3}} - \frac{{\left(b d^{2} f^{2} x^{2} + 2 \, b c d f^{2} x + b c^{2} f^{2} + 2 \, b d^{2} f x + 2 \, b c d f + 2 \, b d^{2}\right)} e^{\left(-f x - e\right)}}{2 \, f^{3}}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x + 1/2*(b*d^2*f^2*x^2 + 2*b*c*d*f^2*x + b*c^2*f^2 - 2*b*d^2*f*x - 2*b*c*d*f + 2*b*d^2)*e^(f*x + e)/f^3 - 1/2*(b*d^2*f^2*x^2 + 2*b*c*d*f^2*x + b*c^2*f^2 + 2*b*d^2*f*x + 2*b*c*d*f + 2*b*d^2)*e^(-f*x - e)/f^3","B",0
158,1,66,0,0.118276," ","integrate((d*x+c)*(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{{\left(b d f x + b c f - b d\right)} e^{\left(f x + e\right)}}{2 \, f^{2}} - \frac{{\left(b d f x + b c f + b d\right)} e^{\left(-f x - e\right)}}{2 \, f^{2}}"," ",0,"1/2*a*d*x^2 + a*c*x + 1/2*(b*d*f*x + b*c*f - b*d)*e^(f*x + e)/f^2 - 1/2*(b*d*f*x + b*c*f + b*d)*e^(-f*x - e)/f^2","A",0
159,1,69,0,0.120276," ","integrate((a+b*cosh(f*x+e))/(d*x+c),x, algorithm=""giac"")","\frac{b {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + b {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 2 \, a \log\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(b*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + b*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 2*a*log(d*x + c))/d","A",0
160,1,683,0,0.160251," ","integrate((a+b*cosh(f*x+e))/(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{2} \, b {\left(\frac{{\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} - c f^{3} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} + d f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d} + 1\right)} - d f^{2} e^{\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{{\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f} - \frac{{\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} - c f^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} + d f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d} + 1\right)} + d f^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{{\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f}\right)} - \frac{a}{{\left(d x + c\right)} d}"," ",0,"-1/2*b*(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) - c*f^3*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) + d*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d + 1) - d*f^2*e^((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d))*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f) - ((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) - c*f^3*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) + d*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d + 1) + d*f^2*e^(-(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d))*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f)) - a/((d*x + c)*d)","B",0
161,1,328,0,0.127275," ","integrate((a+b*cosh(f*x+e))/(d*x+c)^3,x, algorithm=""giac"")","\frac{b d^{2} f^{2} x^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + b d^{2} f^{2} x^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 2 \, b c d f^{2} x {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 2 \, b c d f^{2} x {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + b c^{2} f^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + b c^{2} f^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} - b d^{2} f x e^{\left(f x + e\right)} + b d^{2} f x e^{\left(-f x - e\right)} - b c d f e^{\left(f x + e\right)} + b c d f e^{\left(-f x - e\right)} - b d^{2} e^{\left(f x + e\right)} - b d^{2} e^{\left(-f x - e\right)} - 2 \, a d^{2}}{4 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/4*(b*d^2*f^2*x^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + b*d^2*f^2*x^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 2*b*c*d*f^2*x*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 2*b*c*d*f^2*x*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + b*c^2*f^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + b*c^2*f^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) - b*d^2*f*x*e^(f*x + e) + b*d^2*f*x*e^(-f*x - e) - b*c*d*f*e^(f*x + e) + b*c*d*f*e^(-f*x - e) - b*d^2*e^(f*x + e) - b*d^2*e^(-f*x - e) - 2*a*d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
162,1,603,0,0.146230," ","integrate((d*x+c)^3*(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{4} \, a^{2} d^{3} x^{4} + \frac{1}{8} \, b^{2} d^{3} x^{4} + a^{2} c d^{2} x^{3} + \frac{1}{2} \, b^{2} c d^{2} x^{3} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + \frac{3}{4} \, b^{2} c^{2} d x^{2} + a^{2} c^{3} x + \frac{1}{2} \, b^{2} c^{3} x + \frac{{\left(4 \, b^{2} d^{3} f^{3} x^{3} + 12 \, b^{2} c d^{2} f^{3} x^{2} + 12 \, b^{2} c^{2} d f^{3} x - 6 \, b^{2} d^{3} f^{2} x^{2} + 4 \, b^{2} c^{3} f^{3} - 12 \, b^{2} c d^{2} f^{2} x - 6 \, b^{2} c^{2} d f^{2} + 6 \, b^{2} d^{3} f x + 6 \, b^{2} c d^{2} f - 3 \, b^{2} d^{3}\right)} e^{\left(2 \, f x + 2 \, e\right)}}{32 \, f^{4}} + \frac{{\left(a b d^{3} f^{3} x^{3} + 3 \, a b c d^{2} f^{3} x^{2} + 3 \, a b c^{2} d f^{3} x - 3 \, a b d^{3} f^{2} x^{2} + a b c^{3} f^{3} - 6 \, a b c d^{2} f^{2} x - 3 \, a b c^{2} d f^{2} + 6 \, a b d^{3} f x + 6 \, a b c d^{2} f - 6 \, a b d^{3}\right)} e^{\left(f x + e\right)}}{f^{4}} - \frac{{\left(a b d^{3} f^{3} x^{3} + 3 \, a b c d^{2} f^{3} x^{2} + 3 \, a b c^{2} d f^{3} x + 3 \, a b d^{3} f^{2} x^{2} + a b c^{3} f^{3} + 6 \, a b c d^{2} f^{2} x + 3 \, a b c^{2} d f^{2} + 6 \, a b d^{3} f x + 6 \, a b c d^{2} f + 6 \, a b d^{3}\right)} e^{\left(-f x - e\right)}}{f^{4}} - \frac{{\left(4 \, b^{2} d^{3} f^{3} x^{3} + 12 \, b^{2} c d^{2} f^{3} x^{2} + 12 \, b^{2} c^{2} d f^{3} x + 6 \, b^{2} d^{3} f^{2} x^{2} + 4 \, b^{2} c^{3} f^{3} + 12 \, b^{2} c d^{2} f^{2} x + 6 \, b^{2} c^{2} d f^{2} + 6 \, b^{2} d^{3} f x + 6 \, b^{2} c d^{2} f + 3 \, b^{2} d^{3}\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{32 \, f^{4}}"," ",0,"1/4*a^2*d^3*x^4 + 1/8*b^2*d^3*x^4 + a^2*c*d^2*x^3 + 1/2*b^2*c*d^2*x^3 + 3/2*a^2*c^2*d*x^2 + 3/4*b^2*c^2*d*x^2 + a^2*c^3*x + 1/2*b^2*c^3*x + 1/32*(4*b^2*d^3*f^3*x^3 + 12*b^2*c*d^2*f^3*x^2 + 12*b^2*c^2*d*f^3*x - 6*b^2*d^3*f^2*x^2 + 4*b^2*c^3*f^3 - 12*b^2*c*d^2*f^2*x - 6*b^2*c^2*d*f^2 + 6*b^2*d^3*f*x + 6*b^2*c*d^2*f - 3*b^2*d^3)*e^(2*f*x + 2*e)/f^4 + (a*b*d^3*f^3*x^3 + 3*a*b*c*d^2*f^3*x^2 + 3*a*b*c^2*d*f^3*x - 3*a*b*d^3*f^2*x^2 + a*b*c^3*f^3 - 6*a*b*c*d^2*f^2*x - 3*a*b*c^2*d*f^2 + 6*a*b*d^3*f*x + 6*a*b*c*d^2*f - 6*a*b*d^3)*e^(f*x + e)/f^4 - (a*b*d^3*f^3*x^3 + 3*a*b*c*d^2*f^3*x^2 + 3*a*b*c^2*d*f^3*x + 3*a*b*d^3*f^2*x^2 + a*b*c^3*f^3 + 6*a*b*c*d^2*f^2*x + 3*a*b*c^2*d*f^2 + 6*a*b*d^3*f*x + 6*a*b*c*d^2*f + 6*a*b*d^3)*e^(-f*x - e)/f^4 - 1/32*(4*b^2*d^3*f^3*x^3 + 12*b^2*c*d^2*f^3*x^2 + 12*b^2*c^2*d*f^3*x + 6*b^2*d^3*f^2*x^2 + 4*b^2*c^3*f^3 + 12*b^2*c*d^2*f^2*x + 6*b^2*c^2*d*f^2 + 6*b^2*d^3*f*x + 6*b^2*c*d^2*f + 3*b^2*d^3)*e^(-2*f*x - 2*e)/f^4","B",0
163,1,349,0,0.153459," ","integrate((d*x+c)^2*(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + \frac{1}{6} \, b^{2} d^{2} x^{3} + a^{2} c d x^{2} + \frac{1}{2} \, b^{2} c d x^{2} + a^{2} c^{2} x + \frac{1}{2} \, b^{2} c^{2} x + \frac{{\left(2 \, b^{2} d^{2} f^{2} x^{2} + 4 \, b^{2} c d f^{2} x + 2 \, b^{2} c^{2} f^{2} - 2 \, b^{2} d^{2} f x - 2 \, b^{2} c d f + b^{2} d^{2}\right)} e^{\left(2 \, f x + 2 \, e\right)}}{16 \, f^{3}} + \frac{{\left(a b d^{2} f^{2} x^{2} + 2 \, a b c d f^{2} x + a b c^{2} f^{2} - 2 \, a b d^{2} f x - 2 \, a b c d f + 2 \, a b d^{2}\right)} e^{\left(f x + e\right)}}{f^{3}} - \frac{{\left(a b d^{2} f^{2} x^{2} + 2 \, a b c d f^{2} x + a b c^{2} f^{2} + 2 \, a b d^{2} f x + 2 \, a b c d f + 2 \, a b d^{2}\right)} e^{\left(-f x - e\right)}}{f^{3}} - \frac{{\left(2 \, b^{2} d^{2} f^{2} x^{2} + 4 \, b^{2} c d f^{2} x + 2 \, b^{2} c^{2} f^{2} + 2 \, b^{2} d^{2} f x + 2 \, b^{2} c d f + b^{2} d^{2}\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{16 \, f^{3}}"," ",0,"1/3*a^2*d^2*x^3 + 1/6*b^2*d^2*x^3 + a^2*c*d*x^2 + 1/2*b^2*c*d*x^2 + a^2*c^2*x + 1/2*b^2*c^2*x + 1/16*(2*b^2*d^2*f^2*x^2 + 4*b^2*c*d*f^2*x + 2*b^2*c^2*f^2 - 2*b^2*d^2*f*x - 2*b^2*c*d*f + b^2*d^2)*e^(2*f*x + 2*e)/f^3 + (a*b*d^2*f^2*x^2 + 2*a*b*c*d*f^2*x + a*b*c^2*f^2 - 2*a*b*d^2*f*x - 2*a*b*c*d*f + 2*a*b*d^2)*e^(f*x + e)/f^3 - (a*b*d^2*f^2*x^2 + 2*a*b*c*d*f^2*x + a*b*c^2*f^2 + 2*a*b*d^2*f*x + 2*a*b*c*d*f + 2*a*b*d^2)*e^(-f*x - e)/f^3 - 1/16*(2*b^2*d^2*f^2*x^2 + 4*b^2*c*d*f^2*x + 2*b^2*c^2*f^2 + 2*b^2*d^2*f*x + 2*b^2*c*d*f + b^2*d^2)*e^(-2*f*x - 2*e)/f^3","B",0
164,1,164,0,0.144619," ","integrate((d*x+c)*(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{2} \, a^{2} d x^{2} + \frac{1}{4} \, b^{2} d x^{2} + a^{2} c x + \frac{1}{2} \, b^{2} c x + \frac{{\left(2 \, b^{2} d f x + 2 \, b^{2} c f - b^{2} d\right)} e^{\left(2 \, f x + 2 \, e\right)}}{16 \, f^{2}} + \frac{{\left(a b d f x + a b c f - a b d\right)} e^{\left(f x + e\right)}}{f^{2}} - \frac{{\left(a b d f x + a b c f + a b d\right)} e^{\left(-f x - e\right)}}{f^{2}} - \frac{{\left(2 \, b^{2} d f x + 2 \, b^{2} c f + b^{2} d\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{16 \, f^{2}}"," ",0,"1/2*a^2*d*x^2 + 1/4*b^2*d*x^2 + a^2*c*x + 1/2*b^2*c*x + 1/16*(2*b^2*d*f*x + 2*b^2*c*f - b^2*d)*e^(2*f*x + 2*e)/f^2 + (a*b*d*f*x + a*b*c*f - a*b*d)*e^(f*x + e)/f^2 - (a*b*d*f*x + a*b*c*f + a*b*d)*e^(-f*x - e)/f^2 - 1/16*(2*b^2*d*f*x + 2*b^2*c*f + b^2*d)*e^(-2*f*x - 2*e)/f^2","A",0
165,1,148,0,0.133229," ","integrate((a+b*cosh(f*x+e))^2/(d*x+c),x, algorithm=""giac"")","\frac{b^{2} {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 4 \, a b {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 4 \, a b {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + b^{2} {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} + 4 \, a^{2} \log\left(d x + c\right) + 2 \, b^{2} \log\left(d x + c\right)}{4 \, d}"," ",0,"1/4*(b^2*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 4*a*b*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 4*a*b*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + b^2*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) + 4*a^2*log(d*x + c) + 2*b^2*log(d*x + c))/d","A",0
166,1,1227,0,0.253400," ","integrate((a+b*cosh(f*x+e))^2/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(d x + c\right)} b^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right)} - 2 \, b^{2} c f^{3} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right)} + 4 \, {\left(d x + c\right)} a b {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} - 4 \, a b c f^{3} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d}\right)} - 4 \, {\left(d x + c\right)} a b {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} + 4 \, a b c f^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d}\right)} - 2 \, {\left(d x + c\right)} b^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(c f - d e\right)}}{d}\right)} + 2 \, b^{2} c f^{3} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(c f - d e\right)}}{d}\right)} + 2 \, b^{2} d f^{2} {\rm Ei}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(\frac{2 \, {\left(c f - d e\right)}}{d} + 1\right)} + 4 \, a b d f^{2} {\rm Ei}\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(\frac{c f - d e}{d} + 1\right)} - 4 \, a b d f^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e^{\left(-\frac{c f - d e}{d} + 1\right)} - 2 \, b^{2} d f^{2} {\rm Ei}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(c f - d e\right)}}{d} + 1\right)} - b^{2} d f^{2} e^{\left(\frac{2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - 4 \, a b d f^{2} e^{\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - 4 \, a b d f^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - b^{2} d f^{2} e^{\left(-\frac{2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)} - 4 \, a^{2} d f^{2} - 2 \, b^{2} d f^{2}\right)} d^{2}}{4 \, {\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f}"," ",0,"-1/4*(2*(d*x + c)*b^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(2*(c*f - d*e)/d) - 2*b^2*c*f^3*Ei(2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(2*(c*f - d*e)/d) + 4*(d*x + c)*a*b*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) - 4*a*b*c*f^3*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d) - 4*(d*x + c)*a*b*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) + 4*a*b*c*f^3*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d) - 2*(d*x + c)*b^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*Ei(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-2*(c*f - d*e)/d) + 2*b^2*c*f^3*Ei(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-2*(c*f - d*e)/d) + 2*b^2*d*f^2*Ei(2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(2*(c*f - d*e)/d + 1) + 4*a*b*d*f^2*Ei(((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^((c*f - d*e)/d + 1) - 4*a*b*d*f^2*Ei(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-(c*f - d*e)/d + 1) - 2*b^2*d*f^2*Ei(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e^(-2*(c*f - d*e)/d + 1) - b^2*d*f^2*e^(2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a*b*d*f^2*e^((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a*b*d*f^2*e^(-(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - b^2*d*f^2*e^(-2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a^2*d*f^2 - 2*b^2*d*f^2)*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f)","B",0
167,1,702,0,0.149398," ","integrate((a+b*cosh(f*x+e))^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{4 \, b^{2} d^{2} f^{2} x^{2} {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 4 \, a b d^{2} f^{2} x^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 4 \, a b d^{2} f^{2} x^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 4 \, b^{2} d^{2} f^{2} x^{2} {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} + 8 \, b^{2} c d f^{2} x {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 8 \, a b c d f^{2} x {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 8 \, a b c d f^{2} x {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 8 \, b^{2} c d f^{2} x {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} + 4 \, b^{2} c^{2} f^{2} {\rm Ei}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(\frac{2 \, c f}{d} - 2 \, e\right)} + 4 \, a b c^{2} f^{2} {\rm Ei}\left(-\frac{d f x + c f}{d}\right) e^{\left(\frac{c f}{d} - e\right)} + 4 \, a b c^{2} f^{2} {\rm Ei}\left(\frac{d f x + c f}{d}\right) e^{\left(-\frac{c f}{d} + e\right)} + 4 \, b^{2} c^{2} f^{2} {\rm Ei}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) e^{\left(-\frac{2 \, c f}{d} + 2 \, e\right)} - 2 \, b^{2} d^{2} f x e^{\left(2 \, f x + 2 \, e\right)} - 4 \, a b d^{2} f x e^{\left(f x + e\right)} + 4 \, a b d^{2} f x e^{\left(-f x - e\right)} + 2 \, b^{2} d^{2} f x e^{\left(-2 \, f x - 2 \, e\right)} - 2 \, b^{2} c d f e^{\left(2 \, f x + 2 \, e\right)} - 4 \, a b c d f e^{\left(f x + e\right)} + 4 \, a b c d f e^{\left(-f x - e\right)} + 2 \, b^{2} c d f e^{\left(-2 \, f x - 2 \, e\right)} - b^{2} d^{2} e^{\left(2 \, f x + 2 \, e\right)} - 4 \, a b d^{2} e^{\left(f x + e\right)} - 4 \, a b d^{2} e^{\left(-f x - e\right)} - b^{2} d^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 4 \, a^{2} d^{2} - 2 \, b^{2} d^{2}}{8 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/8*(4*b^2*d^2*f^2*x^2*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 4*a*b*d^2*f^2*x^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 4*a*b*d^2*f^2*x^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 4*b^2*d^2*f^2*x^2*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) + 8*b^2*c*d*f^2*x*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 8*a*b*c*d*f^2*x*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 8*a*b*c*d*f^2*x*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 8*b^2*c*d*f^2*x*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) + 4*b^2*c^2*f^2*Ei(-2*(d*f*x + c*f)/d)*e^(2*c*f/d - 2*e) + 4*a*b*c^2*f^2*Ei(-(d*f*x + c*f)/d)*e^(c*f/d - e) + 4*a*b*c^2*f^2*Ei((d*f*x + c*f)/d)*e^(-c*f/d + e) + 4*b^2*c^2*f^2*Ei(2*(d*f*x + c*f)/d)*e^(-2*c*f/d + 2*e) - 2*b^2*d^2*f*x*e^(2*f*x + 2*e) - 4*a*b*d^2*f*x*e^(f*x + e) + 4*a*b*d^2*f*x*e^(-f*x - e) + 2*b^2*d^2*f*x*e^(-2*f*x - 2*e) - 2*b^2*c*d*f*e^(2*f*x + 2*e) - 4*a*b*c*d*f*e^(f*x + e) + 4*a*b*c*d*f*e^(-f*x - e) + 2*b^2*c*d*f*e^(-2*f*x - 2*e) - b^2*d^2*e^(2*f*x + 2*e) - 4*a*b*d^2*e^(f*x + e) - 4*a*b*d^2*e^(-f*x - e) - b^2*d^2*e^(-2*f*x - 2*e) - 4*a^2*d^2 - 2*b^2*d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
168,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{b \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*cosh(f*x + e) + a), x)","F",0
169,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{b \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*cosh(f*x + e) + a), x)","F",0
170,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{d x + c}{b \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)/(b*cosh(f*x + e) + a), x)","F",0
171,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \cosh\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*cosh(f*x + e) + a)), x)","F",0
172,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(b \cosh\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(b*cosh(f*x + e) + a)), x)","F",0
173,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(b \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*cosh(f*x + e) + a)^2, x)","F",0
174,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(b \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*cosh(f*x + e) + a)^2, x)","F",0
175,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{d x + c}{{\left(b \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)/(b*cosh(f*x + e) + a)^2, x)","F",0
176,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*cosh(f*x + e) + a)^2), x)","F",0
177,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(b \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(b*cosh(f*x + e) + a)^2), x)","F",0
178,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e))^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} {\left(b \cosh\left(f x + e\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(b*cosh(f*x + e) + a)^n, x)","F",0
179,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e))^3,x, algorithm=""giac"")","\int {\left(b \cosh\left(f x + e\right) + a\right)}^{3} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((b*cosh(f*x + e) + a)^3*(d*x + c)^m, x)","F",0
180,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int {\left(b \cosh\left(f x + e\right) + a\right)}^{2} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((b*cosh(f*x + e) + a)^2*(d*x + c)^m, x)","F",0
181,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int {\left(b \cosh\left(f x + e\right) + a\right)} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((b*cosh(f*x + e) + a)*(d*x + c)^m, x)","F",0
182,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*cosh(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{b \cosh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(b*cosh(f*x + e) + a), x)","F",0
183,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*cosh(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(b \cosh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(b*cosh(f*x + e) + a)^2, x)","F",0
