1,1,326,0,0.542021," ","integrate((d*x+c)^4*cosh(b*x+a),x, algorithm=""maxima"")","\frac{c^{4} e^{\left(b x + a\right)}}{2 \, b} + \frac{2 \, {\left(b x e^{a} - e^{a}\right)} c^{3} d e^{\left(b x\right)}}{b^{2}} - \frac{c^{4} e^{\left(-b x - a\right)}}{2 \, b} - \frac{2 \, {\left(b x + 1\right)} c^{3} d e^{\left(-b x - a\right)}}{b^{2}} + \frac{3 \, {\left(b^{2} x^{2} e^{a} - 2 \, b x e^{a} + 2 \, e^{a}\right)} c^{2} d^{2} e^{\left(b x\right)}}{b^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, b x + 2\right)} c^{2} d^{2} e^{\left(-b x - a\right)}}{b^{3}} + \frac{2 \, {\left(b^{3} x^{3} e^{a} - 3 \, b^{2} x^{2} e^{a} + 6 \, b x e^{a} - 6 \, e^{a}\right)} c d^{3} e^{\left(b x\right)}}{b^{4}} - \frac{2 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} c d^{3} e^{\left(-b x - a\right)}}{b^{4}} + \frac{{\left(b^{4} x^{4} e^{a} - 4 \, b^{3} x^{3} e^{a} + 12 \, b^{2} x^{2} e^{a} - 24 \, b x e^{a} + 24 \, e^{a}\right)} d^{4} e^{\left(b x\right)}}{2 \, b^{5}} - \frac{{\left(b^{4} x^{4} + 4 \, b^{3} x^{3} + 12 \, b^{2} x^{2} + 24 \, b x + 24\right)} d^{4} e^{\left(-b x - a\right)}}{2 \, b^{5}}"," ",0,"1/2*c^4*e^(b*x + a)/b + 2*(b*x*e^a - e^a)*c^3*d*e^(b*x)/b^2 - 1/2*c^4*e^(-b*x - a)/b - 2*(b*x + 1)*c^3*d*e^(-b*x - a)/b^2 + 3*(b^2*x^2*e^a - 2*b*x*e^a + 2*e^a)*c^2*d^2*e^(b*x)/b^3 - 3*(b^2*x^2 + 2*b*x + 2)*c^2*d^2*e^(-b*x - a)/b^3 + 2*(b^3*x^3*e^a - 3*b^2*x^2*e^a + 6*b*x*e^a - 6*e^a)*c*d^3*e^(b*x)/b^4 - 2*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*c*d^3*e^(-b*x - a)/b^4 + 1/2*(b^4*x^4*e^a - 4*b^3*x^3*e^a + 12*b^2*x^2*e^a - 24*b*x*e^a + 24*e^a)*d^4*e^(b*x)/b^5 - 1/2*(b^4*x^4 + 4*b^3*x^3 + 12*b^2*x^2 + 24*b*x + 24)*d^4*e^(-b*x - a)/b^5","B",0
2,1,222,0,0.411423," ","integrate((d*x+c)^3*cosh(b*x+a),x, algorithm=""maxima"")","\frac{c^{3} e^{\left(b x + a\right)}}{2 \, b} + \frac{3 \, {\left(b x e^{a} - e^{a}\right)} c^{2} d e^{\left(b x\right)}}{2 \, b^{2}} - \frac{c^{3} e^{\left(-b x - a\right)}}{2 \, b} - \frac{3 \, {\left(b x + 1\right)} c^{2} d e^{\left(-b x - a\right)}}{2 \, b^{2}} + \frac{3 \, {\left(b^{2} x^{2} e^{a} - 2 \, b x e^{a} + 2 \, e^{a}\right)} c d^{2} e^{\left(b x\right)}}{2 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} + 2 \, b x + 2\right)} c d^{2} e^{\left(-b x - a\right)}}{2 \, b^{3}} + \frac{{\left(b^{3} x^{3} e^{a} - 3 \, b^{2} x^{2} e^{a} + 6 \, b x e^{a} - 6 \, e^{a}\right)} d^{3} e^{\left(b x\right)}}{2 \, b^{4}} - \frac{{\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} d^{3} e^{\left(-b x - a\right)}}{2 \, b^{4}}"," ",0,"1/2*c^3*e^(b*x + a)/b + 3/2*(b*x*e^a - e^a)*c^2*d*e^(b*x)/b^2 - 1/2*c^3*e^(-b*x - a)/b - 3/2*(b*x + 1)*c^2*d*e^(-b*x - a)/b^2 + 3/2*(b^2*x^2*e^a - 2*b*x*e^a + 2*e^a)*c*d^2*e^(b*x)/b^3 - 3/2*(b^2*x^2 + 2*b*x + 2)*c*d^2*e^(-b*x - a)/b^3 + 1/2*(b^3*x^3*e^a - 3*b^2*x^2*e^a + 6*b*x*e^a - 6*e^a)*d^3*e^(b*x)/b^4 - 1/2*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*d^3*e^(-b*x - a)/b^4","B",0
3,1,135,0,0.576836," ","integrate((d*x+c)^2*cosh(b*x+a),x, algorithm=""maxima"")","\frac{c^{2} e^{\left(b x + a\right)}}{2 \, b} + \frac{{\left(b x e^{a} - e^{a}\right)} c d e^{\left(b x\right)}}{b^{2}} - \frac{c^{2} e^{\left(-b x - a\right)}}{2 \, b} - \frac{{\left(b x + 1\right)} c d e^{\left(-b x - a\right)}}{b^{2}} + \frac{{\left(b^{2} x^{2} e^{a} - 2 \, b x e^{a} + 2 \, e^{a}\right)} d^{2} e^{\left(b x\right)}}{2 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, b x + 2\right)} d^{2} e^{\left(-b x - a\right)}}{2 \, b^{3}}"," ",0,"1/2*c^2*e^(b*x + a)/b + (b*x*e^a - e^a)*c*d*e^(b*x)/b^2 - 1/2*c^2*e^(-b*x - a)/b - (b*x + 1)*c*d*e^(-b*x - a)/b^2 + 1/2*(b^2*x^2*e^a - 2*b*x*e^a + 2*e^a)*d^2*e^(b*x)/b^3 - 1/2*(b^2*x^2 + 2*b*x + 2)*d^2*e^(-b*x - a)/b^3","B",0
4,1,68,0,0.373831," ","integrate((d*x+c)*cosh(b*x+a),x, algorithm=""maxima"")","\frac{c e^{\left(b x + a\right)}}{2 \, b} + \frac{{\left(b x e^{a} - e^{a}\right)} d e^{\left(b x\right)}}{2 \, b^{2}} - \frac{c e^{\left(-b x - a\right)}}{2 \, b} - \frac{{\left(b x + 1\right)} d e^{\left(-b x - a\right)}}{2 \, b^{2}}"," ",0,"1/2*c*e^(b*x + a)/b + 1/2*(b*x*e^a - e^a)*d*e^(b*x)/b^2 - 1/2*c*e^(-b*x - a)/b - 1/2*(b*x + 1)*d*e^(-b*x - a)/b^2","B",0
5,1,57,0,0.545206," ","integrate(cosh(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{e^{\left(-a + \frac{b c}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{2 \, d} - \frac{e^{\left(a - \frac{b c}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{2 \, d}"," ",0,"-1/2*e^(-a + b*c/d)*exp_integral_e(1, (d*x + c)*b/d)/d - 1/2*e^(a - b*c/d)*exp_integral_e(1, -(d*x + c)*b/d)/d","A",0
6,1,81,0,0.654056," ","integrate(cosh(b*x+a)/(d*x+c)^2,x, algorithm=""maxima"")","\frac{b {\left(\frac{e^{\left(-a + \frac{b c}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{d} - \frac{e^{\left(a - \frac{b c}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{d}\right)}}{2 \, d} - \frac{\cosh\left(b x + a\right)}{{\left(d x + c\right)} d}"," ",0,"1/2*b*(e^(-a + b*c/d)*exp_integral_e(1, (d*x + c)*b/d)/d - e^(a - b*c/d)*exp_integral_e(1, -(d*x + c)*b/d)/d)/d - cosh(b*x + a)/((d*x + c)*d)","A",0
7,1,95,0,0.477481," ","integrate(cosh(b*x+a)/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b {\left(\frac{e^{\left(-a + \frac{b c}{d}\right)} E_{2}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)} d} - \frac{e^{\left(a - \frac{b c}{d}\right)} E_{2}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)} d}\right)}}{4 \, d} - \frac{\cosh\left(b x + a\right)}{2 \, {\left(d x + c\right)}^{2} d}"," ",0,"1/4*b*(e^(-a + b*c/d)*exp_integral_e(2, (d*x + c)*b/d)/((d*x + c)*d) - e^(a - b*c/d)*exp_integral_e(2, -(d*x + c)*b/d)/((d*x + c)*d))/d - 1/2*cosh(b*x + a)/((d*x + c)^2*d)","A",0
8,1,382,0,0.490950," ","integrate((d*x+c)^4*cosh(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(4 \, x^{2} + \frac{{\left(2 \, b x e^{\left(2 \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{2}} - \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{2}}\right)} c^{3} d + \frac{1}{8} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, b^{2} x^{2} e^{\left(2 \, a\right)} - 2 \, b x e^{\left(2 \, a\right)} + e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{3}} - \frac{3 \, {\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{3}}\right)} c^{2} d^{2} + \frac{1}{8} \, {\left(4 \, x^{4} + \frac{{\left(4 \, b^{3} x^{3} e^{\left(2 \, a\right)} - 6 \, b^{2} x^{2} e^{\left(2 \, a\right)} + 6 \, b x e^{\left(2 \, a\right)} - 3 \, e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{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)}}{b^{4}}\right)} c d^{3} + \frac{1}{80} \, {\left(8 \, x^{5} + \frac{5 \, {\left(2 \, b^{4} x^{4} e^{\left(2 \, a\right)} - 4 \, b^{3} x^{3} e^{\left(2 \, a\right)} + 6 \, b^{2} x^{2} e^{\left(2 \, a\right)} - 6 \, b x e^{\left(2 \, a\right)} + 3 \, e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{5}} - \frac{5 \, {\left(2 \, b^{4} x^{4} + 4 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 6 \, b x + 3\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{5}}\right)} d^{4} + \frac{1}{8} \, c^{4} {\left(4 \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)}"," ",0,"1/4*(4*x^2 + (2*b*x*e^(2*a) - e^(2*a))*e^(2*b*x)/b^2 - (2*b*x + 1)*e^(-2*b*x - 2*a)/b^2)*c^3*d + 1/8*(8*x^3 + 3*(2*b^2*x^2*e^(2*a) - 2*b*x*e^(2*a) + e^(2*a))*e^(2*b*x)/b^3 - 3*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3)*c^2*d^2 + 1/8*(4*x^4 + (4*b^3*x^3*e^(2*a) - 6*b^2*x^2*e^(2*a) + 6*b*x*e^(2*a) - 3*e^(2*a))*e^(2*b*x)/b^4 - (4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4)*c*d^3 + 1/80*(8*x^5 + 5*(2*b^4*x^4*e^(2*a) - 4*b^3*x^3*e^(2*a) + 6*b^2*x^2*e^(2*a) - 6*b*x*e^(2*a) + 3*e^(2*a))*e^(2*b*x)/b^5 - 5*(2*b^4*x^4 + 4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^5)*d^4 + 1/8*c^4*(4*x + e^(2*b*x + 2*a)/b - e^(-2*b*x - 2*a)/b)","B",0
9,1,263,0,0.477004," ","integrate((d*x+c)^3*cosh(b*x+a)^2,x, algorithm=""maxima"")","\frac{3}{16} \, {\left(4 \, x^{2} + \frac{{\left(2 \, b x e^{\left(2 \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{2}} - \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{2}}\right)} c^{2} d + \frac{1}{16} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, b^{2} x^{2} e^{\left(2 \, a\right)} - 2 \, b x e^{\left(2 \, a\right)} + e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{3}} - \frac{3 \, {\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{3}}\right)} c d^{2} + \frac{1}{32} \, {\left(4 \, x^{4} + \frac{{\left(4 \, b^{3} x^{3} e^{\left(2 \, a\right)} - 6 \, b^{2} x^{2} e^{\left(2 \, a\right)} + 6 \, b x e^{\left(2 \, a\right)} - 3 \, e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{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)}}{b^{4}}\right)} d^{3} + \frac{1}{8} \, c^{3} {\left(4 \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)}"," ",0,"3/16*(4*x^2 + (2*b*x*e^(2*a) - e^(2*a))*e^(2*b*x)/b^2 - (2*b*x + 1)*e^(-2*b*x - 2*a)/b^2)*c^2*d + 1/16*(8*x^3 + 3*(2*b^2*x^2*e^(2*a) - 2*b*x*e^(2*a) + e^(2*a))*e^(2*b*x)/b^3 - 3*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3)*c*d^2 + 1/32*(4*x^4 + (4*b^3*x^3*e^(2*a) - 6*b^2*x^2*e^(2*a) + 6*b*x*e^(2*a) - 3*e^(2*a))*e^(2*b*x)/b^4 - (4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4)*d^3 + 1/8*c^3*(4*x + e^(2*b*x + 2*a)/b - e^(-2*b*x - 2*a)/b)","B",0
10,1,165,0,0.377822," ","integrate((d*x+c)^2*cosh(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(4 \, x^{2} + \frac{{\left(2 \, b x e^{\left(2 \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{2}} - \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{2}}\right)} c d + \frac{1}{48} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, b^{2} x^{2} e^{\left(2 \, a\right)} - 2 \, b x e^{\left(2 \, a\right)} + e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{3}} - \frac{3 \, {\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{3}}\right)} d^{2} + \frac{1}{8} \, c^{2} {\left(4 \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)}"," ",0,"1/8*(4*x^2 + (2*b*x*e^(2*a) - e^(2*a))*e^(2*b*x)/b^2 - (2*b*x + 1)*e^(-2*b*x - 2*a)/b^2)*c*d + 1/48*(8*x^3 + 3*(2*b^2*x^2*e^(2*a) - 2*b*x*e^(2*a) + e^(2*a))*e^(2*b*x)/b^3 - 3*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3)*d^2 + 1/8*c^2*(4*x + e^(2*b*x + 2*a)/b - e^(-2*b*x - 2*a)/b)","A",0
11,1,88,0,0.438015," ","integrate((d*x+c)*cosh(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{16} \, {\left(4 \, x^{2} + \frac{{\left(2 \, b x e^{\left(2 \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}{b^{2}} - \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{b^{2}}\right)} d + \frac{1}{8} \, c {\left(4 \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)}"," ",0,"1/16*(4*x^2 + (2*b*x*e^(2*a) - e^(2*a))*e^(2*b*x)/b^2 - (2*b*x + 1)*e^(-2*b*x - 2*a)/b^2)*d + 1/8*c*(4*x + e^(2*b*x + 2*a)/b - e^(-2*b*x - 2*a)/b)","A",0
12,1,72,0,0.532434," ","integrate(cosh(b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","-\frac{e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} E_{1}\left(\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, d} - \frac{e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} E_{1}\left(-\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, d} + \frac{\log\left(d x + c\right)}{2 \, d}"," ",0,"-1/4*e^(-2*a + 2*b*c/d)*exp_integral_e(1, 2*(d*x + c)*b/d)/d - 1/4*e^(2*a - 2*b*c/d)*exp_integral_e(1, -2*(d*x + c)*b/d)/d + 1/2*log(d*x + c)/d","A",0
13,1,88,0,0.381417," ","integrate(cosh(b*x+a)^2/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} E_{2}\left(\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, {\left(d x + c\right)} d} - \frac{e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} E_{2}\left(-\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, {\left(d x + c\right)} d} - \frac{1}{2 \, {\left(d^{2} x + c d\right)}}"," ",0,"-1/4*e^(-2*a + 2*b*c/d)*exp_integral_e(2, 2*(d*x + c)*b/d)/((d*x + c)*d) - 1/4*e^(2*a - 2*b*c/d)*exp_integral_e(2, -2*(d*x + c)*b/d)/((d*x + c)*d) - 1/2/(d^2*x + c*d)","A",0
14,1,99,0,0.600707," ","integrate(cosh(b*x+a)^2/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}} - \frac{e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} E_{3}\left(\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, {\left(d x + c\right)}^{2} d} - \frac{e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} E_{3}\left(-\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, {\left(d x + c\right)}^{2} d}"," ",0,"-1/4/(d^3*x^2 + 2*c*d^2*x + c^2*d) - 1/4*e^(-2*a + 2*b*c/d)*exp_integral_e(3, 2*(d*x + c)*b/d)/((d*x + c)^2*d) - 1/4*e^(2*a - 2*b*c/d)*exp_integral_e(3, -2*(d*x + c)*b/d)/((d*x + c)^2*d)","A",0
15,1,110,0,0.472447," ","integrate(cosh(b*x+a)^2/(d*x+c)^4,x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(d^{4} x^{3} + 3 \, c d^{3} x^{2} + 3 \, c^{2} d^{2} x + c^{3} d\right)}} - \frac{e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} E_{4}\left(\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, {\left(d x + c\right)}^{3} d} - \frac{e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} E_{4}\left(-\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, {\left(d x + c\right)}^{3} d}"," ",0,"-1/6/(d^4*x^3 + 3*c*d^3*x^2 + 3*c^2*d^2*x + c^3*d) - 1/4*e^(-2*a + 2*b*c/d)*exp_integral_e(4, 2*(d*x + c)*b/d)/((d*x + c)^3*d) - 1/4*e^(2*a - 2*b*c/d)*exp_integral_e(4, -2*(d*x + c)*b/d)/((d*x + c)^3*d)","A",0
16,1,644,0,0.400545," ","integrate((d*x+c)^4*cosh(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{18} \, c^{3} d {\left(\frac{{\left(3 \, b x e^{\left(3 \, a\right)} - e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{2}} + \frac{27 \, {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2}} - \frac{27 \, {\left(b x + 1\right)} e^{\left(-b x - a\right)}}{b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{2}}\right)} + \frac{1}{24} \, c^{4} {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} + \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} + \frac{1}{36} \, c^{2} d^{2} {\left(\frac{{\left(9 \, b^{2} x^{2} e^{\left(3 \, a\right)} - 6 \, b x e^{\left(3 \, a\right)} + 2 \, e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{3}} + \frac{81 \, {\left(b^{2} x^{2} e^{a} - 2 \, b x e^{a} + 2 \, e^{a}\right)} e^{\left(b x\right)}}{b^{3}} - \frac{81 \, {\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{b^{3}} - \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{3}}\right)} + \frac{1}{54} \, c d^{3} {\left(\frac{{\left(9 \, b^{3} x^{3} e^{\left(3 \, a\right)} - 9 \, b^{2} x^{2} e^{\left(3 \, a\right)} + 6 \, b x e^{\left(3 \, a\right)} - 2 \, e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{4}} + \frac{81 \, {\left(b^{3} x^{3} e^{a} - 3 \, b^{2} x^{2} e^{a} + 6 \, b x e^{a} - 6 \, e^{a}\right)} e^{\left(b x\right)}}{b^{4}} - \frac{81 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} e^{\left(-b x - a\right)}}{b^{4}} - \frac{{\left(9 \, b^{3} x^{3} + 9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{4}}\right)} + \frac{1}{648} \, d^{4} {\left(\frac{{\left(27 \, b^{4} x^{4} e^{\left(3 \, a\right)} - 36 \, b^{3} x^{3} e^{\left(3 \, a\right)} + 36 \, b^{2} x^{2} e^{\left(3 \, a\right)} - 24 \, b x e^{\left(3 \, a\right)} + 8 \, e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{5}} + \frac{243 \, {\left(b^{4} x^{4} e^{a} - 4 \, b^{3} x^{3} e^{a} + 12 \, b^{2} x^{2} e^{a} - 24 \, b x e^{a} + 24 \, e^{a}\right)} e^{\left(b x\right)}}{b^{5}} - \frac{243 \, {\left(b^{4} x^{4} + 4 \, b^{3} x^{3} + 12 \, b^{2} x^{2} + 24 \, b x + 24\right)} e^{\left(-b x - a\right)}}{b^{5}} - \frac{{\left(27 \, b^{4} x^{4} + 36 \, b^{3} x^{3} + 36 \, b^{2} x^{2} + 24 \, b x + 8\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{5}}\right)}"," ",0,"1/18*c^3*d*((3*b*x*e^(3*a) - e^(3*a))*e^(3*b*x)/b^2 + 27*(b*x*e^a - e^a)*e^(b*x)/b^2 - 27*(b*x + 1)*e^(-b*x - a)/b^2 - (3*b*x + 1)*e^(-3*b*x - 3*a)/b^2) + 1/24*c^4*(e^(3*b*x + 3*a)/b + 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b - e^(-3*b*x - 3*a)/b) + 1/36*c^2*d^2*((9*b^2*x^2*e^(3*a) - 6*b*x*e^(3*a) + 2*e^(3*a))*e^(3*b*x)/b^3 + 81*(b^2*x^2*e^a - 2*b*x*e^a + 2*e^a)*e^(b*x)/b^3 - 81*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 - (9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3) + 1/54*c*d^3*((9*b^3*x^3*e^(3*a) - 9*b^2*x^2*e^(3*a) + 6*b*x*e^(3*a) - 2*e^(3*a))*e^(3*b*x)/b^4 + 81*(b^3*x^3*e^a - 3*b^2*x^2*e^a + 6*b*x*e^a - 6*e^a)*e^(b*x)/b^4 - 81*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*e^(-b*x - a)/b^4 - (9*b^3*x^3 + 9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^4) + 1/648*d^4*((27*b^4*x^4*e^(3*a) - 36*b^3*x^3*e^(3*a) + 36*b^2*x^2*e^(3*a) - 24*b*x*e^(3*a) + 8*e^(3*a))*e^(3*b*x)/b^5 + 243*(b^4*x^4*e^a - 4*b^3*x^3*e^a + 12*b^2*x^2*e^a - 24*b*x*e^a + 24*e^a)*e^(b*x)/b^5 - 243*(b^4*x^4 + 4*b^3*x^3 + 12*b^2*x^2 + 24*b*x + 24)*e^(-b*x - a)/b^5 - (27*b^4*x^4 + 36*b^3*x^3 + 36*b^2*x^2 + 24*b*x + 8)*e^(-3*b*x - 3*a)/b^5)","B",0
17,1,439,0,0.467235," ","integrate((d*x+c)^3*cosh(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{24} \, c^{2} d {\left(\frac{{\left(3 \, b x e^{\left(3 \, a\right)} - e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{2}} + \frac{27 \, {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2}} - \frac{27 \, {\left(b x + 1\right)} e^{\left(-b x - a\right)}}{b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{2}}\right)} + \frac{1}{24} \, c^{3} {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} + \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} + \frac{1}{72} \, c d^{2} {\left(\frac{{\left(9 \, b^{2} x^{2} e^{\left(3 \, a\right)} - 6 \, b x e^{\left(3 \, a\right)} + 2 \, e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{3}} + \frac{81 \, {\left(b^{2} x^{2} e^{a} - 2 \, b x e^{a} + 2 \, e^{a}\right)} e^{\left(b x\right)}}{b^{3}} - \frac{81 \, {\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{b^{3}} - \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{3}}\right)} + \frac{1}{216} \, d^{3} {\left(\frac{{\left(9 \, b^{3} x^{3} e^{\left(3 \, a\right)} - 9 \, b^{2} x^{2} e^{\left(3 \, a\right)} + 6 \, b x e^{\left(3 \, a\right)} - 2 \, e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{4}} + \frac{81 \, {\left(b^{3} x^{3} e^{a} - 3 \, b^{2} x^{2} e^{a} + 6 \, b x e^{a} - 6 \, e^{a}\right)} e^{\left(b x\right)}}{b^{4}} - \frac{81 \, {\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} e^{\left(-b x - a\right)}}{b^{4}} - \frac{{\left(9 \, b^{3} x^{3} + 9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{4}}\right)}"," ",0,"1/24*c^2*d*((3*b*x*e^(3*a) - e^(3*a))*e^(3*b*x)/b^2 + 27*(b*x*e^a - e^a)*e^(b*x)/b^2 - 27*(b*x + 1)*e^(-b*x - a)/b^2 - (3*b*x + 1)*e^(-3*b*x - 3*a)/b^2) + 1/24*c^3*(e^(3*b*x + 3*a)/b + 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b - e^(-3*b*x - 3*a)/b) + 1/72*c*d^2*((9*b^2*x^2*e^(3*a) - 6*b*x*e^(3*a) + 2*e^(3*a))*e^(3*b*x)/b^3 + 81*(b^2*x^2*e^a - 2*b*x*e^a + 2*e^a)*e^(b*x)/b^3 - 81*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 - (9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3) + 1/216*d^3*((9*b^3*x^3*e^(3*a) - 9*b^2*x^2*e^(3*a) + 6*b*x*e^(3*a) - 2*e^(3*a))*e^(3*b*x)/b^4 + 81*(b^3*x^3*e^a - 3*b^2*x^2*e^a + 6*b*x*e^a - 6*e^a)*e^(b*x)/b^4 - 81*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*e^(-b*x - a)/b^4 - (9*b^3*x^3 + 9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^4)","B",0
18,1,272,0,0.415224," ","integrate((d*x+c)^2*cosh(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{36} \, c d {\left(\frac{{\left(3 \, b x e^{\left(3 \, a\right)} - e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{2}} + \frac{27 \, {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2}} - \frac{27 \, {\left(b x + 1\right)} e^{\left(-b x - a\right)}}{b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{2}}\right)} + \frac{1}{24} \, c^{2} {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} + \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} + \frac{1}{216} \, d^{2} {\left(\frac{{\left(9 \, b^{2} x^{2} e^{\left(3 \, a\right)} - 6 \, b x e^{\left(3 \, a\right)} + 2 \, e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{3}} + \frac{81 \, {\left(b^{2} x^{2} e^{a} - 2 \, b x e^{a} + 2 \, e^{a}\right)} e^{\left(b x\right)}}{b^{3}} - \frac{81 \, {\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{b^{3}} - \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{3}}\right)}"," ",0,"1/36*c*d*((3*b*x*e^(3*a) - e^(3*a))*e^(3*b*x)/b^2 + 27*(b*x*e^a - e^a)*e^(b*x)/b^2 - 27*(b*x + 1)*e^(-b*x - a)/b^2 - (3*b*x + 1)*e^(-3*b*x - 3*a)/b^2) + 1/24*c^2*(e^(3*b*x + 3*a)/b + 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b - e^(-3*b*x - 3*a)/b) + 1/216*d^2*((9*b^2*x^2*e^(3*a) - 6*b*x*e^(3*a) + 2*e^(3*a))*e^(3*b*x)/b^3 + 81*(b^2*x^2*e^a - 2*b*x*e^a + 2*e^a)*e^(b*x)/b^3 - 81*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 - (9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3)","B",0
19,1,143,0,0.384168," ","integrate((d*x+c)*cosh(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{72} \, d {\left(\frac{{\left(3 \, b x e^{\left(3 \, a\right)} - e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)}}{b^{2}} + \frac{27 \, {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2}} - \frac{27 \, {\left(b x + 1\right)} e^{\left(-b x - a\right)}}{b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{b^{2}}\right)} + \frac{1}{24} \, c {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} + \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)}"," ",0,"1/72*d*((3*b*x*e^(3*a) - e^(3*a))*e^(3*b*x)/b^2 + 27*(b*x*e^a - e^a)*e^(b*x)/b^2 - 27*(b*x + 1)*e^(-b*x - a)/b^2 - (3*b*x + 1)*e^(-3*b*x - 3*a)/b^2) + 1/24*c*(e^(3*b*x + 3*a)/b + 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b - e^(-3*b*x - 3*a)/b)","B",0
20,1,117,0,0.411409," ","integrate(cosh(b*x+a)^3/(d*x+c),x, algorithm=""maxima"")","-\frac{e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} E_{1}\left(\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, d} - \frac{3 \, e^{\left(-a + \frac{b c}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, d} - \frac{3 \, e^{\left(a - \frac{b c}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, d} - \frac{e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} E_{1}\left(-\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, d}"," ",0,"-1/8*e^(-3*a + 3*b*c/d)*exp_integral_e(1, 3*(d*x + c)*b/d)/d - 3/8*e^(-a + b*c/d)*exp_integral_e(1, (d*x + c)*b/d)/d - 3/8*e^(a - b*c/d)*exp_integral_e(1, -(d*x + c)*b/d)/d - 1/8*e^(3*a - 3*b*c/d)*exp_integral_e(1, -3*(d*x + c)*b/d)/d","A",0
21,1,145,0,0.460672," ","integrate(cosh(b*x+a)^3/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} E_{2}\left(\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)} d} - \frac{3 \, e^{\left(-a + \frac{b c}{d}\right)} E_{2}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)} d} - \frac{3 \, e^{\left(a - \frac{b c}{d}\right)} E_{2}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)} d} - \frac{e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} E_{2}\left(-\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)} d}"," ",0,"-1/8*e^(-3*a + 3*b*c/d)*exp_integral_e(2, 3*(d*x + c)*b/d)/((d*x + c)*d) - 3/8*e^(-a + b*c/d)*exp_integral_e(2, (d*x + c)*b/d)/((d*x + c)*d) - 3/8*e^(a - b*c/d)*exp_integral_e(2, -(d*x + c)*b/d)/((d*x + c)*d) - 1/8*e^(3*a - 3*b*c/d)*exp_integral_e(2, -3*(d*x + c)*b/d)/((d*x + c)*d)","A",0
22,1,145,0,0.449766," ","integrate(cosh(b*x+a)^3/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} E_{3}\left(\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)}^{2} d} - \frac{3 \, e^{\left(-a + \frac{b c}{d}\right)} E_{3}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)}^{2} d} - \frac{3 \, e^{\left(a - \frac{b c}{d}\right)} E_{3}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)}^{2} d} - \frac{e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} E_{3}\left(-\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, {\left(d x + c\right)}^{2} d}"," ",0,"-1/8*e^(-3*a + 3*b*c/d)*exp_integral_e(3, 3*(d*x + c)*b/d)/((d*x + c)^2*d) - 3/8*e^(-a + b*c/d)*exp_integral_e(3, (d*x + c)*b/d)/((d*x + c)^2*d) - 3/8*e^(a - b*c/d)*exp_integral_e(3, -(d*x + c)*b/d)/((d*x + c)^2*d) - 1/8*e^(3*a - 3*b*c/d)*exp_integral_e(3, -3*(d*x + c)*b/d)/((d*x + c)^2*d)","A",0
23,1,176,0,0.363493," ","integrate(x^3*cosh(b*x+a)^4,x, algorithm=""maxima"")","\frac{3}{32} \, x^{4} + \frac{{\left(32 \, b^{3} x^{3} e^{\left(4 \, a\right)} - 24 \, b^{2} x^{2} e^{\left(4 \, a\right)} + 12 \, b x e^{\left(4 \, a\right)} - 3 \, e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)}}{2048 \, b^{4}} + \frac{{\left(4 \, b^{3} x^{3} e^{\left(2 \, a\right)} - 6 \, b^{2} x^{2} e^{\left(2 \, a\right)} + 6 \, b x e^{\left(2 \, a\right)} - 3 \, e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\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*e^(4*a) - 24*b^2*x^2*e^(4*a) + 12*b*x*e^(4*a) - 3*e^(4*a))*e^(4*b*x)/b^4 + 1/32*(4*b^3*x^3*e^(2*a) - 6*b^2*x^2*e^(2*a) + 6*b*x*e^(2*a) - 3*e^(2*a))*e^(2*b*x)/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
24,1,132,0,0.379941," ","integrate(x^2*cosh(b*x+a)^4,x, algorithm=""maxima"")","\frac{1}{8} \, x^{3} + \frac{{\left(8 \, b^{2} x^{2} e^{\left(4 \, a\right)} - 4 \, b x e^{\left(4 \, a\right)} + e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)}}{512 \, b^{3}} + \frac{{\left(2 \, b^{2} x^{2} e^{\left(2 \, a\right)} - 2 \, b x e^{\left(2 \, a\right)} + e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\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*e^(4*a) - 4*b*x*e^(4*a) + e^(4*a))*e^(4*b*x)/b^3 + 1/16*(2*b^2*x^2*e^(2*a) - 2*b*x*e^(2*a) + e^(2*a))*e^(2*b*x)/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
25,1,96,0,0.388624," ","integrate(x*cosh(b*x+a)^4,x, algorithm=""maxima"")","\frac{3}{16} \, x^{2} + \frac{{\left(4 \, b x e^{\left(4 \, a\right)} - e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)}}{256 \, b^{2}} + \frac{{\left(2 \, b x e^{\left(2 \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\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*e^(4*a) - e^(4*a))*e^(4*b*x)/b^2 + 1/16*(2*b*x*e^(2*a) - e^(2*a))*e^(2*b*x)/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=""maxima"")","-\frac{2 \, c^{3} \arctan\left(e^{\left(-b x - a\right)}\right)}{b} + 2 \, \int \frac{{\left(d^{3} x^{3} e^{a} + 3 \, c d^{2} x^{2} e^{a} + 3 \, c^{2} d x e^{a}\right)} e^{\left(b x\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\,{d x}"," ",0,"-2*c^3*arctan(e^(-b*x - a))/b + 2*integrate((d^3*x^3*e^a + 3*c*d^2*x^2*e^a + 3*c^2*d*x*e^a)*e^(b*x)/(e^(2*b*x + 2*a) + 1), x)","F",0
27,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, c^{2} \arctan\left(e^{\left(-b x - a\right)}\right)}{b} + 2 \, \int \frac{{\left(d^{2} x^{2} e^{a} + 2 \, c d x e^{a}\right)} e^{\left(b x\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\,{d x}"," ",0,"-2*c^2*arctan(e^(-b*x - a))/b + 2*integrate((d^2*x^2*e^a + 2*c*d*x*e^a)*e^(b*x)/(e^(2*b*x + 2*a) + 1), x)","F",0
28,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a),x, algorithm=""maxima"")","2 \, d \int \frac{x e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\,{d x} - \frac{2 \, c \arctan\left(e^{\left(-b x - a\right)}\right)}{b}"," ",0,"2*d*integrate(x*e^(b*x + a)/(e^(2*b*x + 2*a) + 1), x) - 2*c*arctan(e^(-b*x - a))/b","F",0
29,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\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=""maxima"")","\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
31,1,238,0,0.855999," ","integrate((d*x+c)^3*sech(b*x+a)^2,x, algorithm=""maxima"")","3 \, c^{2} d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{\log\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, a\right)}\right)}{b^{2}}\right)} - \frac{3 \, {\left(2 \, b x \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, b x + 2 \, a\right)}\right)\right)} c d^{2}}{b^{3}} + \frac{2 \, c^{3}}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} + 1\right)}} - \frac{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2}\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{3 \, {\left(2 \, b^{2} x^{2} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(2 \, b x + 2 \, a\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, b x + 2 \, a\right)})\right)} d^{3}}{2 \, b^{4}} + \frac{2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2}\right)}}{b^{4}}"," ",0,"3*c^2*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) + b) - log((e^(2*b*x + 2*a) + 1)*e^(-2*a))/b^2) - 3*(2*b*x*log(e^(2*b*x + 2*a) + 1) + dilog(-e^(2*b*x + 2*a)))*c*d^2/b^3 + 2*c^3/(b*(e^(-2*b*x - 2*a) + 1)) - 2*(d^3*x^3 + 3*c*d^2*x^2)/(b*e^(2*b*x + 2*a) + b) - 3/2*(2*b^2*x^2*log(e^(2*b*x + 2*a) + 1) + 2*b*x*dilog(-e^(2*b*x + 2*a)) - polylog(3, -e^(2*b*x + 2*a)))*d^3/b^4 + 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2)/b^4","B",0
32,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a)^2,x, algorithm=""maxima"")","-2 \, d^{2} {\left(\frac{x^{2}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - 2 \, \int \frac{x}{b e^{\left(2 \, b x + 2 \, a\right)} + b}\,{d x}\right)} + 2 \, c d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{\log\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, a\right)}\right)}{b^{2}}\right)} + \frac{2 \, c^{2}}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} + 1\right)}}"," ",0,"-2*d^2*(x^2/(b*e^(2*b*x + 2*a) + b) - 2*integrate(x/(b*e^(2*b*x + 2*a) + b), x)) + 2*c*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) + b) - log((e^(2*b*x + 2*a) + 1)*e^(-2*a))/b^2) + 2*c^2/(b*(e^(-2*b*x - 2*a) + 1))","F",0
33,1,72,0,0.584568," ","integrate((d*x+c)*sech(b*x+a)^2,x, algorithm=""maxima"")","d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{\log\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, a\right)}\right)}{b^{2}}\right)} + \frac{2 \, c}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} + 1\right)}}"," ",0,"d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) + b) - log((e^(2*b*x + 2*a) + 1)*e^(-2*a))/b^2) + 2*c/(b*(e^(-2*b*x - 2*a) + 1))","B",0
34,0,0,0,0.000000," ","integrate(sech(b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","-4 \, d \int \frac{1}{2 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + {\left(b d^{2} x^{2} e^{\left(2 \, a\right)} + 2 \, b c d x e^{\left(2 \, a\right)} + b c^{2} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}\right)}}\,{d x} - \frac{2}{b d x + b c + {\left(b d x e^{\left(2 \, a\right)} + b c e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}"," ",0,"-4*d*integrate(1/2/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + (b*d^2*x^2*e^(2*a) + 2*b*c*d*x*e^(2*a) + b*c^2*e^(2*a))*e^(2*b*x)), x) - 2/(b*d*x + b*c + (b*d*x*e^(2*a) + b*c*e^(2*a))*e^(2*b*x))","F",0
35,0,0,0,0.000000," ","integrate(sech(b*x+a)^2/(d*x+c)^2,x, algorithm=""maxima"")","-4 \, d \int \frac{1}{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + {\left(b d^{3} x^{3} e^{\left(2 \, a\right)} + 3 \, b c d^{2} x^{2} e^{\left(2 \, a\right)} + 3 \, b c^{2} d x e^{\left(2 \, a\right)} + b c^{3} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}\,{d x} - \frac{2}{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + {\left(b d^{2} x^{2} e^{\left(2 \, a\right)} + 2 \, b c d x e^{\left(2 \, a\right)} + b c^{2} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}"," ",0,"-4*d*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + (b*d^3*x^3*e^(2*a) + 3*b*c*d^2*x^2*e^(2*a) + 3*b*c^2*d*x*e^(2*a) + b*c^3*e^(2*a))*e^(2*b*x)), x) - 2/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + (b*d^2*x^2*e^(2*a) + 2*b*c*d*x*e^(2*a) + b*c^2*e^(2*a))*e^(2*b*x))","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)^3*sech(b*x+a)^3,x, algorithm=""maxima"")","b^{2} d^{3} \int \frac{x^{3} e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} + 3 \, b^{2} c d^{2} \int \frac{x^{2} e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} + 3 \, b^{2} c^{2} d \int \frac{x e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} - c^{3} {\left(\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} - \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}\right)} - 6 \, d^{3} \int \frac{x e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} - \frac{6 \, c d^{2} \arctan\left(e^{\left(b x + a\right)}\right)}{b^{3}} + \frac{{\left(b d^{3} x^{3} e^{\left(3 \, a\right)} + 3 \, c^{2} d e^{\left(3 \, a\right)} + 3 \, {\left(b c d^{2} + d^{3}\right)} x^{2} e^{\left(3 \, a\right)} + 3 \, {\left(b c^{2} d + 2 \, c d^{2}\right)} x e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d^{3} x^{3} e^{a} - 3 \, c^{2} d e^{a} + 3 \, {\left(b c d^{2} - d^{3}\right)} x^{2} e^{a} + 3 \, {\left(b c^{2} d - 2 \, c d^{2}\right)} x e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}"," ",0,"b^2*d^3*integrate(x^3*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) + 3*b^2*c*d^2*integrate(x^2*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) + 3*b^2*c^2*d*integrate(x*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) - c^3*(arctan(e^(-b*x - a))/b - (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1))) - 6*d^3*integrate(x*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) - 6*c*d^2*arctan(e^(b*x + a))/b^3 + ((b*d^3*x^3*e^(3*a) + 3*c^2*d*e^(3*a) + 3*(b*c*d^2 + d^3)*x^2*e^(3*a) + 3*(b*c^2*d + 2*c*d^2)*x*e^(3*a))*e^(3*b*x) - (b*d^3*x^3*e^a - 3*c^2*d*e^a + 3*(b*c*d^2 - d^3)*x^2*e^a + 3*(b*c^2*d - 2*c*d^2)*x*e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2)","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a)^3,x, algorithm=""maxima"")","b^{2} d^{2} \int \frac{x^{2} e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} + 2 \, b^{2} c d \int \frac{x e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} - c^{2} {\left(\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} - \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}\right)} + \frac{{\left(b d^{2} x^{2} e^{\left(3 \, a\right)} + 2 \, c d e^{\left(3 \, a\right)} + 2 \, {\left(b c d + d^{2}\right)} x e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d^{2} x^{2} e^{a} - 2 \, c d e^{a} + 2 \, {\left(b c d - d^{2}\right)} x e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} - \frac{2 \, d^{2} \arctan\left(e^{\left(b x + a\right)}\right)}{b^{3}}"," ",0,"b^2*d^2*integrate(x^2*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) + 2*b^2*c*d*integrate(x*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) - c^2*(arctan(e^(-b*x - a))/b - (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1))) + ((b*d^2*x^2*e^(3*a) + 2*c*d*e^(3*a) + 2*(b*c*d + d^2)*x*e^(3*a))*e^(3*b*x) - (b*d^2*x^2*e^a - 2*c*d*e^a + 2*(b*c*d - d^2)*x*e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2) - 2*d^2*arctan(e^(b*x + a))/b^3","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a)^3,x, algorithm=""maxima"")","d {\left(\frac{{\left(b x e^{\left(3 \, a\right)} + e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} + 8 \, \int \frac{x e^{\left(b x + a\right)}}{8 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}\,{d x}\right)} - c {\left(\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} - \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}\right)}"," ",0,"d*(((b*x*e^(3*a) + e^(3*a))*e^(3*b*x) - (b*x*e^a - e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2) + 8*integrate(1/8*x*e^(b*x + a)/(e^(2*b*x + 2*a) + 1), x)) - c*(arctan(e^(-b*x - a))/b - (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1)))","F",0
39,0,0,0,0.000000," ","integrate(sech(b*x+a)^3/(d*x+c),x, algorithm=""maxima"")","\frac{{\left(b d x e^{\left(3 \, a\right)} + {\left(b c - d\right)} e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d x e^{a} + {\left(b c + d\right)} e^{a}\right)} e^{\left(b x\right)}}{b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} + {\left(b^{2} d^{2} x^{2} e^{\left(4 \, a\right)} + 2 \, b^{2} c d x e^{\left(4 \, a\right)} + b^{2} c^{2} e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)} + 2 \, {\left(b^{2} d^{2} x^{2} e^{\left(2 \, a\right)} + 2 \, b^{2} c d x e^{\left(2 \, a\right)} + b^{2} c^{2} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}} + 8 \, \int \frac{{\left(b^{2} d^{2} x^{2} e^{a} + 2 \, b^{2} c d x e^{a} + {\left(b^{2} c^{2} - 2 \, d^{2}\right)} e^{a}\right)} e^{\left(b x\right)}}{8 \, {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3} + {\left(b^{2} d^{3} x^{3} e^{\left(2 \, a\right)} + 3 \, b^{2} c d^{2} x^{2} e^{\left(2 \, a\right)} + 3 \, b^{2} c^{2} d x e^{\left(2 \, a\right)} + b^{2} c^{3} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}\right)}}\,{d x}"," ",0,"((b*d*x*e^(3*a) + (b*c - d)*e^(3*a))*e^(3*b*x) - (b*d*x*e^a + (b*c + d)*e^a)*e^(b*x))/(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 + (b^2*d^2*x^2*e^(4*a) + 2*b^2*c*d*x*e^(4*a) + b^2*c^2*e^(4*a))*e^(4*b*x) + 2*(b^2*d^2*x^2*e^(2*a) + 2*b^2*c*d*x*e^(2*a) + b^2*c^2*e^(2*a))*e^(2*b*x)) + 8*integrate(1/8*(b^2*d^2*x^2*e^a + 2*b^2*c*d*x*e^a + (b^2*c^2 - 2*d^2)*e^a)*e^(b*x)/(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3 + (b^2*d^3*x^3*e^(2*a) + 3*b^2*c*d^2*x^2*e^(2*a) + 3*b^2*c^2*d*x*e^(2*a) + b^2*c^3*e^(2*a))*e^(2*b*x)), x)","F",0
40,0,0,0,0.000000," ","integrate(sech(b*x+a)^3/(d*x+c)^2,x, algorithm=""maxima"")","\frac{{\left(b d x e^{\left(3 \, a\right)} + {\left(b c - 2 \, d\right)} e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d x e^{a} + {\left(b c + 2 \, d\right)} e^{a}\right)} e^{\left(b x\right)}}{b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3} + {\left(b^{2} d^{3} x^{3} e^{\left(4 \, a\right)} + 3 \, b^{2} c d^{2} x^{2} e^{\left(4 \, a\right)} + 3 \, b^{2} c^{2} d x e^{\left(4 \, a\right)} + b^{2} c^{3} e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)} + 2 \, {\left(b^{2} d^{3} x^{3} e^{\left(2 \, a\right)} + 3 \, b^{2} c d^{2} x^{2} e^{\left(2 \, a\right)} + 3 \, b^{2} c^{2} d x e^{\left(2 \, a\right)} + b^{2} c^{3} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}} + 8 \, \int \frac{{\left(b^{2} d^{2} x^{2} e^{a} + 2 \, b^{2} c d x e^{a} + {\left(b^{2} c^{2} - 6 \, d^{2}\right)} e^{a}\right)} e^{\left(b x\right)}}{8 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4} + {\left(b^{2} d^{4} x^{4} e^{\left(2 \, a\right)} + 4 \, b^{2} c d^{3} x^{3} e^{\left(2 \, a\right)} + 6 \, b^{2} c^{2} d^{2} x^{2} e^{\left(2 \, a\right)} + 4 \, b^{2} c^{3} d x e^{\left(2 \, a\right)} + b^{2} c^{4} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}\right)}}\,{d x}"," ",0,"((b*d*x*e^(3*a) + (b*c - 2*d)*e^(3*a))*e^(3*b*x) - (b*d*x*e^a + (b*c + 2*d)*e^a)*e^(b*x))/(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3 + (b^2*d^3*x^3*e^(4*a) + 3*b^2*c*d^2*x^2*e^(4*a) + 3*b^2*c^2*d*x*e^(4*a) + b^2*c^3*e^(4*a))*e^(4*b*x) + 2*(b^2*d^3*x^3*e^(2*a) + 3*b^2*c*d^2*x^2*e^(2*a) + 3*b^2*c^2*d*x*e^(2*a) + b^2*c^3*e^(2*a))*e^(2*b*x)) + 8*integrate(1/8*(b^2*d^2*x^2*e^a + 2*b^2*c*d*x*e^a + (b^2*c^2 - 6*d^2)*e^a)*e^(b*x)/(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4 + (b^2*d^4*x^4*e^(2*a) + 4*b^2*c*d^3*x^3*e^(2*a) + 6*b^2*c^2*d^2*x^2*e^(2*a) + 4*b^2*c^3*d*x*e^(2*a) + b^2*c^4*e^(2*a))*e^(2*b*x)), x)","F",0
41,1,308,0,0.452243," ","integrate((d*x+c)^(5/2)*cosh(b*x+a),x, algorithm=""maxima"")","\frac{32 \, {\left(d x + c\right)}^{\frac{7}{2}} \cosh\left(b x + a\right) - \frac{{\left(\frac{105 \, \sqrt{\pi} d^{4} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b^{4} \sqrt{-\frac{b}{d}}} - \frac{105 \, \sqrt{\pi} d^{4} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b^{4} \sqrt{\frac{b}{d}}} + \frac{2 \, {\left(8 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d e^{\left(\frac{b c}{d}\right)} + 28 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{2} e^{\left(\frac{b c}{d}\right)} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{3} e^{\left(\frac{b c}{d}\right)} + 105 \, \sqrt{d x + c} d^{4} e^{\left(\frac{b c}{d}\right)}\right)} e^{\left(-a - \frac{{\left(d x + c\right)} b}{d}\right)}}{b^{4}} + \frac{2 \, {\left(8 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d e^{a} - 28 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{2} e^{a} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{3} e^{a} - 105 \, \sqrt{d x + c} d^{4} e^{a}\right)} e^{\left(\frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b^{4}}\right)} b}{d}}{112 \, d}"," ",0,"1/112*(32*(d*x + c)^(7/2)*cosh(b*x + a) - (105*sqrt(pi)*d^4*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b^4*sqrt(-b/d)) - 105*sqrt(pi)*d^4*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b^4*sqrt(b/d)) + 2*(8*(d*x + c)^(7/2)*b^3*d*e^(b*c/d) + 28*(d*x + c)^(5/2)*b^2*d^2*e^(b*c/d) + 70*(d*x + c)^(3/2)*b*d^3*e^(b*c/d) + 105*sqrt(d*x + c)*d^4*e^(b*c/d))*e^(-a - (d*x + c)*b/d)/b^4 + 2*(8*(d*x + c)^(7/2)*b^3*d*e^a - 28*(d*x + c)^(5/2)*b^2*d^2*e^a + 70*(d*x + c)^(3/2)*b*d^3*e^a - 105*sqrt(d*x + c)*d^4*e^a)*e^((d*x + c)*b/d - b*c/d)/b^4)*b/d)/d","B",0
42,1,268,0,0.355705," ","integrate((d*x+c)^(3/2)*cosh(b*x+a),x, algorithm=""maxima"")","\frac{16 \, {\left(d x + c\right)}^{\frac{5}{2}} \cosh\left(b x + a\right) + \frac{{\left(\frac{15 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b^{3} \sqrt{-\frac{b}{d}}} + \frac{15 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b^{3} \sqrt{\frac{b}{d}}} - \frac{2 \, {\left(4 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{\left(\frac{b c}{d}\right)} + 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{\left(\frac{b c}{d}\right)} + 15 \, \sqrt{d x + c} d^{3} e^{\left(\frac{b c}{d}\right)}\right)} e^{\left(-a - \frac{{\left(d x + c\right)} b}{d}\right)}}{b^{3}} - \frac{2 \, {\left(4 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{a} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{a} + 15 \, \sqrt{d x + c} d^{3} e^{a}\right)} e^{\left(\frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b^{3}}\right)} b}{d}}{40 \, d}"," ",0,"1/40*(16*(d*x + c)^(5/2)*cosh(b*x + a) + (15*sqrt(pi)*d^3*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b^3*sqrt(-b/d)) + 15*sqrt(pi)*d^3*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b^3*sqrt(b/d)) - 2*(4*(d*x + c)^(5/2)*b^2*d*e^(b*c/d) + 10*(d*x + c)^(3/2)*b*d^2*e^(b*c/d) + 15*sqrt(d*x + c)*d^3*e^(b*c/d))*e^(-a - (d*x + c)*b/d)/b^3 - 2*(4*(d*x + c)^(5/2)*b^2*d*e^a - 10*(d*x + c)^(3/2)*b*d^2*e^a + 15*sqrt(d*x + c)*d^3*e^a)*e^((d*x + c)*b/d - b*c/d)/b^3)*b/d)/d","B",0
43,1,230,0,0.337838," ","integrate(cosh(b*x+a)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{8 \, {\left(d x + c\right)}^{\frac{3}{2}} \cosh\left(b x + a\right) - \frac{{\left(\frac{3 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b^{2} \sqrt{-\frac{b}{d}}} - \frac{3 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b^{2} \sqrt{\frac{b}{d}}} + \frac{2 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{\left(\frac{b c}{d}\right)} + 3 \, \sqrt{d x + c} d^{2} e^{\left(\frac{b c}{d}\right)}\right)} e^{\left(-a - \frac{{\left(d x + c\right)} b}{d}\right)}}{b^{2}} + \frac{2 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{a} - 3 \, \sqrt{d x + c} d^{2} e^{a}\right)} e^{\left(\frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b^{2}}\right)} b}{d}}{12 \, d}"," ",0,"1/12*(8*(d*x + c)^(3/2)*cosh(b*x + a) - (3*sqrt(pi)*d^2*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b^2*sqrt(-b/d)) - 3*sqrt(pi)*d^2*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b^2*sqrt(b/d)) + 2*(2*(d*x + c)^(3/2)*b*d*e^(b*c/d) + 3*sqrt(d*x + c)*d^2*e^(b*c/d))*e^(-a - (d*x + c)*b/d)/b^2 + 2*(2*(d*x + c)^(3/2)*b*d*e^a - 3*sqrt(d*x + c)*d^2*e^a)*e^((d*x + c)*b/d - b*c/d)/b^2)*b/d)/d","B",0
44,1,180,0,0.329175," ","integrate(cosh(b*x+a)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{d x + c} \cosh\left(b x + a\right) + \frac{{\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b \sqrt{-\frac{b}{d}}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b \sqrt{\frac{b}{d}}} - \frac{2 \, \sqrt{d x + c} d e^{\left(a + \frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b} - \frac{2 \, \sqrt{d x + c} d e^{\left(-a - \frac{{\left(d x + c\right)} b}{d} + \frac{b c}{d}\right)}}{b}\right)} b}{d}}{2 \, d}"," ",0,"1/2*(4*sqrt(d*x + c)*cosh(b*x + a) + (sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b*sqrt(-b/d)) + sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b*sqrt(b/d)) - 2*sqrt(d*x + c)*d*e^(a + (d*x + c)*b/d - b*c/d)/b - 2*sqrt(d*x + c)*d*e^(-a - (d*x + c)*b/d + b*c/d)/b)*b/d)/d","B",0
45,1,104,0,0.329469," ","integrate(cosh(b*x+a)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{\frac{{\left(\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{\sqrt{-\frac{b}{d}}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{\sqrt{\frac{b}{d}}}\right)} b}{d} - \frac{2 \, \cosh\left(b x + a\right)}{\sqrt{d x + c}}}{d}"," ",0,"((sqrt(pi)*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/sqrt(-b/d) - sqrt(pi)*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/sqrt(b/d))*b/d - 2*cosh(b*x + a)/sqrt(d*x + c))/d","A",0
46,1,115,0,0.540340," ","integrate(cosh(b*x+a)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{\frac{{\left(\frac{\sqrt{\frac{{\left(d x + c\right)} b}{d}} e^{\left(-a + \frac{b c}{d}\right)} \Gamma\left(-\frac{1}{2}, \frac{{\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}} - \frac{\sqrt{-\frac{{\left(d x + c\right)} b}{d}} e^{\left(a - \frac{b c}{d}\right)} \Gamma\left(-\frac{1}{2}, -\frac{{\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}}\right)} b}{d} - \frac{2 \, \cosh\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}}}{3 \, d}"," ",0,"1/3*((sqrt((d*x + c)*b/d)*e^(-a + b*c/d)*gamma(-1/2, (d*x + c)*b/d)/sqrt(d*x + c) - sqrt(-(d*x + c)*b/d)*e^(a - b*c/d)*gamma(-1/2, -(d*x + c)*b/d)/sqrt(d*x + c))*b/d - 2*cosh(b*x + a)/(d*x + c)^(3/2))/d","A",0
47,1,115,0,0.409119," ","integrate(cosh(b*x+a)/(d*x+c)^(7/2),x, algorithm=""maxima"")","\frac{\frac{{\left(\frac{\left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(-a + \frac{b c}{d}\right)} \Gamma\left(-\frac{3}{2}, \frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{\left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(a - \frac{b c}{d}\right)} \Gamma\left(-\frac{3}{2}, -\frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)} b}{d} - \frac{2 \, \cosh\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{5}{2}}}}{5 \, d}"," ",0,"1/5*((((d*x + c)*b/d)^(3/2)*e^(-a + b*c/d)*gamma(-3/2, (d*x + c)*b/d)/(d*x + c)^(3/2) - (-(d*x + c)*b/d)^(3/2)*e^(a - b*c/d)*gamma(-3/2, -(d*x + c)*b/d)/(d*x + c)^(3/2))*b/d - 2*cosh(b*x + a)/(d*x + c)^(5/2))/d","A",0
48,1,281,0,0.462565," ","integrate((d*x+c)^(5/2)*cosh(b*x+a)^2,x, algorithm=""maxima"")","\frac{512 \, {\left(d x + c\right)}^{\frac{7}{2}} - \frac{105 \, \sqrt{2} \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)}}{b^{3} \sqrt{-\frac{b}{d}}} + \frac{105 \, \sqrt{2} \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)}}{b^{3} \sqrt{\frac{b}{d}}} - \frac{28 \, {\left(16 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{\left(\frac{2 \, b c}{d}\right)} + 20 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{\left(\frac{2 \, b c}{d}\right)} + 15 \, \sqrt{d x + c} d^{3} e^{\left(\frac{2 \, b c}{d}\right)}\right)} e^{\left(-2 \, a - \frac{2 \, {\left(d x + c\right)} b}{d}\right)}}{b^{3}} + \frac{28 \, {\left(16 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{\left(2 \, a\right)} - 20 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{\left(2 \, a\right)} + 15 \, \sqrt{d x + c} d^{3} e^{\left(2 \, a\right)}\right)} e^{\left(\frac{2 \, {\left(d x + c\right)} b}{d} - \frac{2 \, b c}{d}\right)}}{b^{3}}}{3584 \, d}"," ",0,"1/3584*(512*(d*x + c)^(7/2) - 105*sqrt(2)*sqrt(pi)*d^3*erf(sqrt(2)*sqrt(d*x + c)*sqrt(-b/d))*e^(2*a - 2*b*c/d)/(b^3*sqrt(-b/d)) + 105*sqrt(2)*sqrt(pi)*d^3*erf(sqrt(2)*sqrt(d*x + c)*sqrt(b/d))*e^(-2*a + 2*b*c/d)/(b^3*sqrt(b/d)) - 28*(16*(d*x + c)^(5/2)*b^2*d*e^(2*b*c/d) + 20*(d*x + c)^(3/2)*b*d^2*e^(2*b*c/d) + 15*sqrt(d*x + c)*d^3*e^(2*b*c/d))*e^(-2*a - 2*(d*x + c)*b/d)/b^3 + 28*(16*(d*x + c)^(5/2)*b^2*d*e^(2*a) - 20*(d*x + c)^(3/2)*b*d^2*e^(2*a) + 15*sqrt(d*x + c)*d^3*e^(2*a))*e^(2*(d*x + c)*b/d - 2*b*c/d)/b^3)/d","A",0
49,1,239,0,0.587473," ","integrate((d*x+c)^(3/2)*cosh(b*x+a)^2,x, algorithm=""maxima"")","\frac{128 \, {\left(d x + c\right)}^{\frac{5}{2}} + \frac{15 \, \sqrt{2} \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)}}{b^{2} \sqrt{-\frac{b}{d}}} + \frac{15 \, \sqrt{2} \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)}}{b^{2} \sqrt{\frac{b}{d}}} - \frac{20 \, {\left(4 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{\left(\frac{2 \, b c}{d}\right)} + 3 \, \sqrt{d x + c} d^{2} e^{\left(\frac{2 \, b c}{d}\right)}\right)} e^{\left(-2 \, a - \frac{2 \, {\left(d x + c\right)} b}{d}\right)}}{b^{2}} + \frac{20 \, {\left(4 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{\left(2 \, a\right)} - 3 \, \sqrt{d x + c} d^{2} e^{\left(2 \, a\right)}\right)} e^{\left(\frac{2 \, {\left(d x + c\right)} b}{d} - \frac{2 \, b c}{d}\right)}}{b^{2}}}{640 \, d}"," ",0,"1/640*(128*(d*x + c)^(5/2) + 15*sqrt(2)*sqrt(pi)*d^2*erf(sqrt(2)*sqrt(d*x + c)*sqrt(-b/d))*e^(2*a - 2*b*c/d)/(b^2*sqrt(-b/d)) + 15*sqrt(2)*sqrt(pi)*d^2*erf(sqrt(2)*sqrt(d*x + c)*sqrt(b/d))*e^(-2*a + 2*b*c/d)/(b^2*sqrt(b/d)) - 20*(4*(d*x + c)^(3/2)*b*d*e^(2*b*c/d) + 3*sqrt(d*x + c)*d^2*e^(2*b*c/d))*e^(-2*a - 2*(d*x + c)*b/d)/b^2 + 20*(4*(d*x + c)^(3/2)*b*d*e^(2*a) - 3*sqrt(d*x + c)*d^2*e^(2*a))*e^(2*(d*x + c)*b/d - 2*b*c/d)/b^2)/d","A",0
50,1,189,0,0.416333," ","integrate(cosh(b*x+a)^2*(d*x+c)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)}}{b \sqrt{-\frac{b}{d}}} - \frac{3 \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)}}{b \sqrt{\frac{b}{d}}} - 32 \, {\left(d x + c\right)}^{\frac{3}{2}} - \frac{12 \, \sqrt{d x + c} d e^{\left(2 \, a + \frac{2 \, {\left(d x + c\right)} b}{d} - \frac{2 \, b c}{d}\right)}}{b} + \frac{12 \, \sqrt{d x + c} d e^{\left(-2 \, a - \frac{2 \, {\left(d x + c\right)} b}{d} + \frac{2 \, b c}{d}\right)}}{b}}{96 \, d}"," ",0,"-1/96*(3*sqrt(2)*sqrt(pi)*d*erf(sqrt(2)*sqrt(d*x + c)*sqrt(-b/d))*e^(2*a - 2*b*c/d)/(b*sqrt(-b/d)) - 3*sqrt(2)*sqrt(pi)*d*erf(sqrt(2)*sqrt(d*x + c)*sqrt(b/d))*e^(-2*a + 2*b*c/d)/(b*sqrt(b/d)) - 32*(d*x + c)^(3/2) - 12*sqrt(d*x + c)*d*e^(2*a + 2*(d*x + c)*b/d - 2*b*c/d)/b + 12*sqrt(d*x + c)*d*e^(-2*a - 2*(d*x + c)*b/d + 2*b*c/d)/b)/d","A",0
51,1,107,0,0.495649," ","integrate(cosh(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(2 \, a - \frac{2 \, b c}{d}\right)}}{\sqrt{-\frac{b}{d}}} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)}}{\sqrt{\frac{b}{d}}} + 8 \, \sqrt{d x + c}}{8 \, d}"," ",0,"1/8*(sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(d*x + c)*sqrt(-b/d))*e^(2*a - 2*b*c/d)/sqrt(-b/d) + sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(d*x + c)*sqrt(b/d))*e^(-2*a + 2*b*c/d)/sqrt(b/d) + 8*sqrt(d*x + c))/d","A",0
52,1,116,0,1.284515," ","integrate(cosh(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{\sqrt{2} \sqrt{\frac{{\left(d x + c\right)} b}{d}} e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{1}{2}, \frac{2 \, {\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}} + \frac{\sqrt{2} \sqrt{-\frac{{\left(d x + c\right)} b}{d}} e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{1}{2}, -\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}} + \frac{4}{\sqrt{d x + c}}}{4 \, d}"," ",0,"-1/4*(sqrt(2)*sqrt((d*x + c)*b/d)*e^(2*(b*c - a*d)/d)*gamma(-1/2, 2*(d*x + c)*b/d)/sqrt(d*x + c) + sqrt(2)*sqrt(-(d*x + c)*b/d)*e^(-2*(b*c - a*d)/d)*gamma(-1/2, -2*(d*x + c)*b/d)/sqrt(d*x + c) + 4/sqrt(d*x + c))/d","A",0
53,1,118,0,0.405279," ","integrate(cosh(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{2} \left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{3}{2}, \frac{2 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{3 \, \sqrt{2} \left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{3}{2}, -\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{2}{{\left(d x + c\right)}^{\frac{3}{2}}}}{6 \, d}"," ",0,"-1/6*(3*sqrt(2)*((d*x + c)*b/d)^(3/2)*e^(2*(b*c - a*d)/d)*gamma(-3/2, 2*(d*x + c)*b/d)/(d*x + c)^(3/2) + 3*sqrt(2)*(-(d*x + c)*b/d)^(3/2)*e^(-2*(b*c - a*d)/d)*gamma(-3/2, -2*(d*x + c)*b/d)/(d*x + c)^(3/2) + 2/(d*x + c)^(3/2))/d","A",0
54,1,116,0,0.445923," ","integrate(cosh(b*x+a)^2/(d*x+c)^(7/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{2} \left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{5}{2}} e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{5}{2}, \frac{2 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{5 \, \sqrt{2} \left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{5}{2}} e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{5}{2}, -\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{1}{{\left(d x + c\right)}^{\frac{5}{2}}}}{5 \, d}"," ",0,"-1/5*(5*sqrt(2)*((d*x + c)*b/d)^(5/2)*e^(2*(b*c - a*d)/d)*gamma(-5/2, 2*(d*x + c)*b/d)/(d*x + c)^(5/2) + 5*sqrt(2)*(-(d*x + c)*b/d)^(5/2)*e^(-2*(b*c - a*d)/d)*gamma(-5/2, -2*(d*x + c)*b/d)/(d*x + c)^(5/2) + 1/(d*x + c)^(5/2))/d","A",0
55,1,116,0,1.036513," ","integrate(cosh(b*x+a)^2/(d*x+c)^(9/2),x, algorithm=""maxima"")","-\frac{\frac{14 \, \sqrt{2} \left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{7}{2}} e^{\left(\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{7}{2}, \frac{2 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{7}{2}}} + \frac{14 \, \sqrt{2} \left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{7}{2}} e^{\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{7}{2}, -\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{7}{2}}} + \frac{1}{{\left(d x + c\right)}^{\frac{7}{2}}}}{7 \, d}"," ",0,"-1/7*(14*sqrt(2)*((d*x + c)*b/d)^(7/2)*e^(2*(b*c - a*d)/d)*gamma(-7/2, 2*(d*x + c)*b/d)/(d*x + c)^(7/2) + 14*sqrt(2)*(-(d*x + c)*b/d)^(7/2)*e^(-2*(b*c - a*d)/d)*gamma(-7/2, -2*(d*x + c)*b/d)/(d*x + c)^(7/2) + 1/(d*x + c)^(7/2))/d","A",0
56,1,513,0,1.539669," ","integrate((d*x+c)^(5/2)*cosh(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{3} \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)}}{b^{3} \sqrt{-\frac{b}{d}}} - \frac{5 \, \sqrt{3} \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)}}{b^{3} \sqrt{\frac{b}{d}}} + \frac{1215 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b^{3} \sqrt{-\frac{b}{d}}} - \frac{1215 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b^{3} \sqrt{\frac{b}{d}}} + \frac{162 \, {\left(4 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{\left(\frac{b c}{d}\right)} + 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{\left(\frac{b c}{d}\right)} + 15 \, \sqrt{d x + c} d^{3} e^{\left(\frac{b c}{d}\right)}\right)} e^{\left(-a - \frac{{\left(d x + c\right)} b}{d}\right)}}{b^{3}} + \frac{6 \, {\left(12 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{\left(\frac{3 \, b c}{d}\right)} + 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{\left(\frac{3 \, b c}{d}\right)} + 5 \, \sqrt{d x + c} d^{3} e^{\left(\frac{3 \, b c}{d}\right)}\right)} e^{\left(-3 \, a - \frac{3 \, {\left(d x + c\right)} b}{d}\right)}}{b^{3}} - \frac{6 \, {\left(12 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{\left(3 \, a\right)} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{\left(3 \, a\right)} + 5 \, \sqrt{d x + c} d^{3} e^{\left(3 \, a\right)}\right)} e^{\left(\frac{3 \, {\left(d x + c\right)} b}{d} - \frac{3 \, b c}{d}\right)}}{b^{3}} - \frac{162 \, {\left(4 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d e^{a} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} e^{a} + 15 \, \sqrt{d x + c} d^{3} e^{a}\right)} e^{\left(\frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b^{3}}}{1728 \, d}"," ",0,"-1/1728*(5*sqrt(3)*sqrt(pi)*d^3*erf(sqrt(3)*sqrt(d*x + c)*sqrt(-b/d))*e^(3*a - 3*b*c/d)/(b^3*sqrt(-b/d)) - 5*sqrt(3)*sqrt(pi)*d^3*erf(sqrt(3)*sqrt(d*x + c)*sqrt(b/d))*e^(-3*a + 3*b*c/d)/(b^3*sqrt(b/d)) + 1215*sqrt(pi)*d^3*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b^3*sqrt(-b/d)) - 1215*sqrt(pi)*d^3*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b^3*sqrt(b/d)) + 162*(4*(d*x + c)^(5/2)*b^2*d*e^(b*c/d) + 10*(d*x + c)^(3/2)*b*d^2*e^(b*c/d) + 15*sqrt(d*x + c)*d^3*e^(b*c/d))*e^(-a - (d*x + c)*b/d)/b^3 + 6*(12*(d*x + c)^(5/2)*b^2*d*e^(3*b*c/d) + 10*(d*x + c)^(3/2)*b*d^2*e^(3*b*c/d) + 5*sqrt(d*x + c)*d^3*e^(3*b*c/d))*e^(-3*a - 3*(d*x + c)*b/d)/b^3 - 6*(12*(d*x + c)^(5/2)*b^2*d*e^(3*a) - 10*(d*x + c)^(3/2)*b*d^2*e^(3*a) + 5*sqrt(d*x + c)*d^3*e^(3*a))*e^(3*(d*x + c)*b/d - 3*b*c/d)/b^3 - 162*(4*(d*x + c)^(5/2)*b^2*d*e^a - 10*(d*x + c)^(3/2)*b*d^2*e^a + 15*sqrt(d*x + c)*d^3*e^a)*e^((d*x + c)*b/d - b*c/d)/b^3)/d","A",0
57,1,429,0,0.438789," ","integrate((d*x+c)^(3/2)*cosh(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{\sqrt{3} \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)}}{b^{2} \sqrt{-\frac{b}{d}}} + \frac{\sqrt{3} \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)}}{b^{2} \sqrt{\frac{b}{d}}} + \frac{81 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b^{2} \sqrt{-\frac{b}{d}}} + \frac{81 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b^{2} \sqrt{\frac{b}{d}}} - \frac{54 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{\left(\frac{b c}{d}\right)} + 3 \, \sqrt{d x + c} d^{2} e^{\left(\frac{b c}{d}\right)}\right)} e^{\left(-a - \frac{{\left(d x + c\right)} b}{d}\right)}}{b^{2}} - \frac{6 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{\left(\frac{3 \, b c}{d}\right)} + \sqrt{d x + c} d^{2} e^{\left(\frac{3 \, b c}{d}\right)}\right)} e^{\left(-3 \, a - \frac{3 \, {\left(d x + c\right)} b}{d}\right)}}{b^{2}} + \frac{6 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{\left(3 \, a\right)} - \sqrt{d x + c} d^{2} e^{\left(3 \, a\right)}\right)} e^{\left(\frac{3 \, {\left(d x + c\right)} b}{d} - \frac{3 \, b c}{d}\right)}}{b^{2}} + \frac{54 \, {\left(2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d e^{a} - 3 \, \sqrt{d x + c} d^{2} e^{a}\right)} e^{\left(\frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b^{2}}}{288 \, d}"," ",0,"1/288*(sqrt(3)*sqrt(pi)*d^2*erf(sqrt(3)*sqrt(d*x + c)*sqrt(-b/d))*e^(3*a - 3*b*c/d)/(b^2*sqrt(-b/d)) + sqrt(3)*sqrt(pi)*d^2*erf(sqrt(3)*sqrt(d*x + c)*sqrt(b/d))*e^(-3*a + 3*b*c/d)/(b^2*sqrt(b/d)) + 81*sqrt(pi)*d^2*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b^2*sqrt(-b/d)) + 81*sqrt(pi)*d^2*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b^2*sqrt(b/d)) - 54*(2*(d*x + c)^(3/2)*b*d*e^(b*c/d) + 3*sqrt(d*x + c)*d^2*e^(b*c/d))*e^(-a - (d*x + c)*b/d)/b^2 - 6*(2*(d*x + c)^(3/2)*b*d*e^(3*b*c/d) + sqrt(d*x + c)*d^2*e^(3*b*c/d))*e^(-3*a - 3*(d*x + c)*b/d)/b^2 + 6*(2*(d*x + c)^(3/2)*b*d*e^(3*a) - sqrt(d*x + c)*d^2*e^(3*a))*e^(3*(d*x + c)*b/d - 3*b*c/d)/b^2 + 54*(2*(d*x + c)^(3/2)*b*d*e^a - 3*sqrt(d*x + c)*d^2*e^a)*e^((d*x + c)*b/d - b*c/d)/b^2)/d","A",0
58,1,334,0,0.436504," ","integrate(cosh(b*x+a)^3*(d*x+c)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{\sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)}}{b \sqrt{-\frac{b}{d}}} - \frac{\sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)}}{b \sqrt{\frac{b}{d}}} + \frac{27 \, \sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{b \sqrt{-\frac{b}{d}}} - \frac{27 \, \sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{b \sqrt{\frac{b}{d}}} - \frac{6 \, \sqrt{d x + c} d e^{\left(3 \, a + \frac{3 \, {\left(d x + c\right)} b}{d} - \frac{3 \, b c}{d}\right)}}{b} - \frac{54 \, \sqrt{d x + c} d e^{\left(a + \frac{{\left(d x + c\right)} b}{d} - \frac{b c}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(-a - \frac{{\left(d x + c\right)} b}{d} + \frac{b c}{d}\right)}}{b} + \frac{6 \, \sqrt{d x + c} d e^{\left(-3 \, a - \frac{3 \, {\left(d x + c\right)} b}{d} + \frac{3 \, b c}{d}\right)}}{b}}{144 \, d}"," ",0,"-1/144*(sqrt(3)*sqrt(pi)*d*erf(sqrt(3)*sqrt(d*x + c)*sqrt(-b/d))*e^(3*a - 3*b*c/d)/(b*sqrt(-b/d)) - sqrt(3)*sqrt(pi)*d*erf(sqrt(3)*sqrt(d*x + c)*sqrt(b/d))*e^(-3*a + 3*b*c/d)/(b*sqrt(b/d)) + 27*sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/(b*sqrt(-b/d)) - 27*sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/(b*sqrt(b/d)) - 6*sqrt(d*x + c)*d*e^(3*a + 3*(d*x + c)*b/d - 3*b*c/d)/b - 54*sqrt(d*x + c)*d*e^(a + (d*x + c)*b/d - b*c/d)/b + 54*sqrt(d*x + c)*d*e^(-a - (d*x + c)*b/d + b*c/d)/b + 6*sqrt(d*x + c)*d*e^(-3*a - 3*(d*x + c)*b/d + 3*b*c/d)/b)/d","A",0
59,1,177,0,0.436783," ","integrate(cosh(b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(3 \, a - \frac{3 \, b c}{d}\right)}}{\sqrt{-\frac{b}{d}}} + \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)}}{\sqrt{\frac{b}{d}}} + \frac{9 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{b}{d}}\right) e^{\left(a - \frac{b c}{d}\right)}}{\sqrt{-\frac{b}{d}}} + \frac{9 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{d x + c} \sqrt{\frac{b}{d}}\right) e^{\left(-a + \frac{b c}{d}\right)}}{\sqrt{\frac{b}{d}}}}{24 \, d}"," ",0,"1/24*(sqrt(3)*sqrt(pi)*erf(sqrt(3)*sqrt(d*x + c)*sqrt(-b/d))*e^(3*a - 3*b*c/d)/sqrt(-b/d) + sqrt(3)*sqrt(pi)*erf(sqrt(3)*sqrt(d*x + c)*sqrt(b/d))*e^(-3*a + 3*b*c/d)/sqrt(b/d) + 9*sqrt(pi)*erf(sqrt(d*x + c)*sqrt(-b/d))*e^(a - b*c/d)/sqrt(-b/d) + 9*sqrt(pi)*erf(sqrt(d*x + c)*sqrt(b/d))*e^(-a + b*c/d)/sqrt(b/d))/d","A",0
60,1,196,0,0.474323," ","integrate(cosh(b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{\sqrt{3} \sqrt{\frac{{\left(d x + c\right)} b}{d}} e^{\left(\frac{3 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{1}{2}, \frac{3 \, {\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}} + \frac{\sqrt{3} \sqrt{-\frac{{\left(d x + c\right)} b}{d}} e^{\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{1}{2}, -\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}} + \frac{3 \, \sqrt{\frac{{\left(d x + c\right)} b}{d}} e^{\left(-a + \frac{b c}{d}\right)} \Gamma\left(-\frac{1}{2}, \frac{{\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}} + \frac{3 \, \sqrt{-\frac{{\left(d x + c\right)} b}{d}} e^{\left(a - \frac{b c}{d}\right)} \Gamma\left(-\frac{1}{2}, -\frac{{\left(d x + c\right)} b}{d}\right)}{\sqrt{d x + c}}}{8 \, d}"," ",0,"-1/8*(sqrt(3)*sqrt((d*x + c)*b/d)*e^(3*(b*c - a*d)/d)*gamma(-1/2, 3*(d*x + c)*b/d)/sqrt(d*x + c) + sqrt(3)*sqrt(-(d*x + c)*b/d)*e^(-3*(b*c - a*d)/d)*gamma(-1/2, -3*(d*x + c)*b/d)/sqrt(d*x + c) + 3*sqrt((d*x + c)*b/d)*e^(-a + b*c/d)*gamma(-1/2, (d*x + c)*b/d)/sqrt(d*x + c) + 3*sqrt(-(d*x + c)*b/d)*e^(a - b*c/d)*gamma(-1/2, -(d*x + c)*b/d)/sqrt(d*x + c))/d","A",0
61,1,194,0,0.470366," ","integrate(cosh(b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{\sqrt{3} \left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(\frac{3 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{3}{2}, \frac{3 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{\sqrt{3} \left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{3}{2}, -\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{\left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(-a + \frac{b c}{d}\right)} \Gamma\left(-\frac{3}{2}, \frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{\left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{3}{2}} e^{\left(a - \frac{b c}{d}\right)} \Gamma\left(-\frac{3}{2}, -\frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)}}{8 \, d}"," ",0,"-3/8*(sqrt(3)*((d*x + c)*b/d)^(3/2)*e^(3*(b*c - a*d)/d)*gamma(-3/2, 3*(d*x + c)*b/d)/(d*x + c)^(3/2) + sqrt(3)*(-(d*x + c)*b/d)^(3/2)*e^(-3*(b*c - a*d)/d)*gamma(-3/2, -3*(d*x + c)*b/d)/(d*x + c)^(3/2) + ((d*x + c)*b/d)^(3/2)*e^(-a + b*c/d)*gamma(-3/2, (d*x + c)*b/d)/(d*x + c)^(3/2) + (-(d*x + c)*b/d)^(3/2)*e^(a - b*c/d)*gamma(-3/2, -(d*x + c)*b/d)/(d*x + c)^(3/2))/d","A",0
62,1,196,0,0.731748," ","integrate(cosh(b*x+a)^3/(d*x+c)^(7/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{3 \, \sqrt{3} \left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{5}{2}} e^{\left(\frac{3 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{5}{2}, \frac{3 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{3 \, \sqrt{3} \left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{5}{2}} e^{\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right)} \Gamma\left(-\frac{5}{2}, -\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{\left(\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{5}{2}} e^{\left(-a + \frac{b c}{d}\right)} \Gamma\left(-\frac{5}{2}, \frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{\left(-\frac{{\left(d x + c\right)} b}{d}\right)^{\frac{5}{2}} e^{\left(a - \frac{b c}{d}\right)} \Gamma\left(-\frac{5}{2}, -\frac{{\left(d x + c\right)} b}{d}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}}\right)}}{8 \, d}"," ",0,"-3/8*(3*sqrt(3)*((d*x + c)*b/d)^(5/2)*e^(3*(b*c - a*d)/d)*gamma(-5/2, 3*(d*x + c)*b/d)/(d*x + c)^(5/2) + 3*sqrt(3)*(-(d*x + c)*b/d)^(5/2)*e^(-3*(b*c - a*d)/d)*gamma(-5/2, -3*(d*x + c)*b/d)/(d*x + c)^(5/2) + ((d*x + c)*b/d)^(5/2)*e^(-a + b*c/d)*gamma(-5/2, (d*x + c)*b/d)/(d*x + c)^(5/2) + (-(d*x + c)*b/d)^(5/2)*e^(a - b*c/d)*gamma(-5/2, -(d*x + c)*b/d)/(d*x + c)^(5/2))/d","A",0
63,1,174,0,0.324373," ","integrate((d*x)^(3/2)*cosh(f*x),x, algorithm=""maxima"")","\frac{16 \, \left(d x\right)^{\frac{5}{2}} \cosh\left(f x\right) + \frac{f {\left(\frac{15 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{d x} \sqrt{\frac{f}{d}}\right)}{f^{3} \sqrt{\frac{f}{d}}} + \frac{15 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(\sqrt{d x} \sqrt{-\frac{f}{d}}\right)}{f^{3} \sqrt{-\frac{f}{d}}} - \frac{2 \, {\left(4 \, \left(d x\right)^{\frac{5}{2}} d f^{2} - 10 \, \left(d x\right)^{\frac{3}{2}} d^{2} f + 15 \, \sqrt{d x} d^{3}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{2 \, {\left(4 \, \left(d x\right)^{\frac{5}{2}} d f^{2} + 10 \, \left(d x\right)^{\frac{3}{2}} d^{2} f + 15 \, \sqrt{d x} d^{3}\right)} e^{\left(-f x\right)}}{f^{3}}\right)}}{d}}{40 \, d}"," ",0,"1/40*(16*(d*x)^(5/2)*cosh(f*x) + f*(15*sqrt(pi)*d^3*erf(sqrt(d*x)*sqrt(f/d))/(f^3*sqrt(f/d)) + 15*sqrt(pi)*d^3*erf(sqrt(d*x)*sqrt(-f/d))/(f^3*sqrt(-f/d)) - 2*(4*(d*x)^(5/2)*d*f^2 - 10*(d*x)^(3/2)*d^2*f + 15*sqrt(d*x)*d^3)*e^(f*x)/f^3 - 2*(4*(d*x)^(5/2)*d*f^2 + 10*(d*x)^(3/2)*d^2*f + 15*sqrt(d*x)*d^3)*e^(-f*x)/f^3)/d)/d","B",0
64,1,148,0,0.553115," ","integrate(cosh(f*x)*(d*x)^(1/2),x, algorithm=""maxima"")","\frac{8 \, \left(d x\right)^{\frac{3}{2}} \cosh\left(f x\right) + \frac{f {\left(\frac{3 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{d x} \sqrt{\frac{f}{d}}\right)}{f^{2} \sqrt{\frac{f}{d}}} - \frac{3 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(\sqrt{d x} \sqrt{-\frac{f}{d}}\right)}{f^{2} \sqrt{-\frac{f}{d}}} - \frac{2 \, {\left(2 \, \left(d x\right)^{\frac{3}{2}} d f - 3 \, \sqrt{d x} d^{2}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{2 \, {\left(2 \, \left(d x\right)^{\frac{3}{2}} d f + 3 \, \sqrt{d x} d^{2}\right)} e^{\left(-f x\right)}}{f^{2}}\right)}}{d}}{12 \, d}"," ",0,"1/12*(8*(d*x)^(3/2)*cosh(f*x) + f*(3*sqrt(pi)*d^2*erf(sqrt(d*x)*sqrt(f/d))/(f^2*sqrt(f/d)) - 3*sqrt(pi)*d^2*erf(sqrt(d*x)*sqrt(-f/d))/(f^2*sqrt(-f/d)) - 2*(2*(d*x)^(3/2)*d*f - 3*sqrt(d*x)*d^2)*e^(f*x)/f^2 - 2*(2*(d*x)^(3/2)*d*f + 3*sqrt(d*x)*d^2)*e^(-f*x)/f^2)/d)/d","B",0
65,1,117,0,0.500387," ","integrate(cosh(f*x)/(d*x)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{d x} \cosh\left(f x\right) - \frac{{\left(\frac{2 \, \sqrt{d x} d e^{\left(f x\right)}}{f} + \frac{2 \, \sqrt{d x} d e^{\left(-f x\right)}}{f} - \frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x} \sqrt{\frac{f}{d}}\right)}{f \sqrt{\frac{f}{d}}} - \frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x} \sqrt{-\frac{f}{d}}\right)}{f \sqrt{-\frac{f}{d}}}\right)} f}{d}}{2 \, d}"," ",0,"1/2*(4*sqrt(d*x)*cosh(f*x) - (2*sqrt(d*x)*d*e^(f*x)/f + 2*sqrt(d*x)*d*e^(-f*x)/f - sqrt(pi)*d*erf(sqrt(d*x)*sqrt(f/d))/(f*sqrt(f/d)) - sqrt(pi)*d*erf(sqrt(d*x)*sqrt(-f/d))/(f*sqrt(-f/d)))*f/d)/d","B",0
66,1,76,0,1.000746," ","integrate(cosh(f*x)/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{f {\left(\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{d x} \sqrt{\frac{f}{d}}\right)}{\sqrt{\frac{f}{d}}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{d x} \sqrt{-\frac{f}{d}}\right)}{\sqrt{-\frac{f}{d}}}\right)}}{d} + \frac{2 \, \cosh\left(f x\right)}{\sqrt{d x}}}{d}"," ",0,"-(f*(sqrt(pi)*erf(sqrt(d*x)*sqrt(f/d))/sqrt(f/d) - sqrt(pi)*erf(sqrt(d*x)*sqrt(-f/d))/sqrt(-f/d))/d + 2*cosh(f*x)/sqrt(d*x))/d","A",0
67,1,58,0,3.609757," ","integrate(cosh(f*x)/(d*x)^(5/2),x, algorithm=""maxima"")","\frac{\frac{f {\left(\frac{\sqrt{f x} \Gamma\left(-\frac{1}{2}, f x\right)}{\sqrt{d x}} - \frac{\sqrt{-f x} \Gamma\left(-\frac{1}{2}, -f x\right)}{\sqrt{d x}}\right)}}{d} - \frac{2 \, \cosh\left(f x\right)}{\left(d x\right)^{\frac{3}{2}}}}{3 \, d}"," ",0,"1/3*(f*(sqrt(f*x)*gamma(-1/2, f*x)/sqrt(d*x) - sqrt(-f*x)*gamma(-1/2, -f*x)/sqrt(d*x))/d - 2*cosh(f*x)/(d*x)^(3/2))/d","A",0
68,0,0,0,0.000000," ","integrate(sech(b*x+a)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
76,1,161,0,0.564479," ","integrate((d*x+c)^m*cosh(b*x+a)^3,x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-3 \, a + \frac{3 \, b c}{d}\right)} E_{-m}\left(\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, d} - \frac{3 \, {\left(d x + c\right)}^{m + 1} e^{\left(-a + \frac{b c}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, d} - \frac{3 \, {\left(d x + c\right)}^{m + 1} e^{\left(a - \frac{b c}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{8 \, d} - \frac{{\left(d x + c\right)}^{m + 1} e^{\left(3 \, a - \frac{3 \, b c}{d}\right)} E_{-m}\left(-\frac{3 \, {\left(d x + c\right)} b}{d}\right)}{8 \, d}"," ",0,"-1/8*(d*x + c)^(m + 1)*e^(-3*a + 3*b*c/d)*exp_integral_e(-m, 3*(d*x + c)*b/d)/d - 3/8*(d*x + c)^(m + 1)*e^(-a + b*c/d)*exp_integral_e(-m, (d*x + c)*b/d)/d - 3/8*(d*x + c)^(m + 1)*e^(a - b*c/d)*exp_integral_e(-m, -(d*x + c)*b/d)/d - 1/8*(d*x + c)^(m + 1)*e^(3*a - 3*b*c/d)*exp_integral_e(-m, -3*(d*x + c)*b/d)/d","A",0
77,1,102,0,1.173129," ","integrate((d*x+c)^m*cosh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-2 \, a + \frac{2 \, b c}{d}\right)} E_{-m}\left(\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, d} - \frac{{\left(d x + c\right)}^{m + 1} e^{\left(2 \, a - \frac{2 \, b c}{d}\right)} E_{-m}\left(-\frac{2 \, {\left(d x + c\right)} b}{d}\right)}{4 \, d} + \frac{{\left(d x + c\right)}^{m + 1}}{2 \, d {\left(m + 1\right)}}"," ",0,"-1/4*(d*x + c)^(m + 1)*e^(-2*a + 2*b*c/d)*exp_integral_e(-m, 2*(d*x + c)*b/d)/d - 1/4*(d*x + c)^(m + 1)*e^(2*a - 2*b*c/d)*exp_integral_e(-m, -2*(d*x + c)*b/d)/d + 1/2*(d*x + c)^(m + 1)/(d*(m + 1))","A",0
78,1,79,0,2.573975," ","integrate((d*x+c)^m*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-a + \frac{b c}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} b}{d}\right)}{2 \, d} - \frac{{\left(d x + c\right)}^{m + 1} e^{\left(a - \frac{b c}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} b}{d}\right)}{2 \, d}"," ",0,"-1/2*(d*x + c)^(m + 1)*e^(-a + b*c/d)*exp_integral_e(-m, (d*x + c)*b/d)/d - 1/2*(d*x + c)^(m + 1)*e^(a - b*c/d)*exp_integral_e(-m, -(d*x + c)*b/d)/d","A",0
79,0,0,0,0.000000," ","integrate((d*x+c)^m*sech(b*x+a),x, algorithm=""maxima"")","\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=""maxima"")","\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
81,1,55,0,1.378415," ","integrate(x^(3+m)*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(b x\right)^{-m - 4} x^{m + 4} e^{\left(-a\right)} \Gamma\left(m + 4, b x\right) - \frac{1}{2} \, \left(-b x\right)^{-m - 4} x^{m + 4} e^{a} \Gamma\left(m + 4, -b x\right)"," ",0,"-1/2*(b*x)^(-m - 4)*x^(m + 4)*e^(-a)*gamma(m + 4, b*x) - 1/2*(-b*x)^(-m - 4)*x^(m + 4)*e^a*gamma(m + 4, -b*x)","A",0
82,1,55,0,1.225716," ","integrate(x^(2+m)*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(b x\right)^{-m - 3} x^{m + 3} e^{\left(-a\right)} \Gamma\left(m + 3, b x\right) - \frac{1}{2} \, \left(-b x\right)^{-m - 3} x^{m + 3} e^{a} \Gamma\left(m + 3, -b x\right)"," ",0,"-1/2*(b*x)^(-m - 3)*x^(m + 3)*e^(-a)*gamma(m + 3, b*x) - 1/2*(-b*x)^(-m - 3)*x^(m + 3)*e^a*gamma(m + 3, -b*x)","A",0
83,1,55,0,0.744616," ","integrate(x^(1+m)*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(b x\right)^{-m - 2} x^{m + 2} e^{\left(-a\right)} \Gamma\left(m + 2, b x\right) - \frac{1}{2} \, \left(-b x\right)^{-m - 2} x^{m + 2} e^{a} \Gamma\left(m + 2, -b x\right)"," ",0,"-1/2*(b*x)^(-m - 2)*x^(m + 2)*e^(-a)*gamma(m + 2, b*x) - 1/2*(-b*x)^(-m - 2)*x^(m + 2)*e^a*gamma(m + 2, -b*x)","A",0
84,1,55,0,1.214319," ","integrate(x^m*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(b x\right)^{-m - 1} x^{m + 1} e^{\left(-a\right)} \Gamma\left(m + 1, b x\right) - \frac{1}{2} \, \left(-b x\right)^{-m - 1} x^{m + 1} e^{a} \Gamma\left(m + 1, -b x\right)"," ",0,"-1/2*(b*x)^(-m - 1)*x^(m + 1)*e^(-a)*gamma(m + 1, b*x) - 1/2*(-b*x)^(-m - 1)*x^(m + 1)*e^a*gamma(m + 1, -b*x)","A",0
85,1,43,0,0.768117," ","integrate(x^(-1+m)*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{x^{m} e^{\left(-a\right)} \Gamma\left(m, b x\right)}{2 \, \left(b x\right)^{m}} - \frac{x^{m} e^{a} \Gamma\left(m, -b x\right)}{2 \, \left(-b x\right)^{m}}"," ",0,"-1/2*x^m*e^(-a)*gamma(m, b*x)/(b*x)^m - 1/2*x^m*e^a*gamma(m, -b*x)/(-b*x)^m","A",0
86,1,55,0,1.193781," ","integrate(x^(-2+m)*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(b x\right)^{-m + 1} x^{m - 1} e^{\left(-a\right)} \Gamma\left(m - 1, b x\right) - \frac{1}{2} \, \left(-b x\right)^{-m + 1} x^{m - 1} e^{a} \Gamma\left(m - 1, -b x\right)"," ",0,"-1/2*(b*x)^(-m + 1)*x^(m - 1)*e^(-a)*gamma(m - 1, b*x) - 1/2*(-b*x)^(-m + 1)*x^(m - 1)*e^a*gamma(m - 1, -b*x)","A",0
87,1,55,0,2.311229," ","integrate(x^(-3+m)*cosh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, \left(b x\right)^{-m + 2} x^{m - 2} e^{\left(-a\right)} \Gamma\left(m - 2, b x\right) - \frac{1}{2} \, \left(-b x\right)^{-m + 2} x^{m - 2} e^{a} \Gamma\left(m - 2, -b x\right)"," ",0,"-1/2*(b*x)^(-m + 2)*x^(m - 2)*e^(-a)*gamma(m - 2, b*x) - 1/2*(-b*x)^(-m + 2)*x^(m - 2)*e^a*gamma(m - 2, -b*x)","A",0
88,1,71,0,1.341260," ","integrate(x^(3+m)*cosh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, \left(2 \, b x\right)^{-m - 4} x^{m + 4} e^{\left(-2 \, a\right)} \Gamma\left(m + 4, 2 \, b x\right) - \frac{1}{4} \, \left(-2 \, b x\right)^{-m - 4} x^{m + 4} e^{\left(2 \, a\right)} \Gamma\left(m + 4, -2 \, b x\right) + \frac{x^{m + 4}}{2 \, {\left(m + 4\right)}}"," ",0,"-1/4*(2*b*x)^(-m - 4)*x^(m + 4)*e^(-2*a)*gamma(m + 4, 2*b*x) - 1/4*(-2*b*x)^(-m - 4)*x^(m + 4)*e^(2*a)*gamma(m + 4, -2*b*x) + 1/2*x^(m + 4)/(m + 4)","A",0
89,1,71,0,1.412944," ","integrate(x^(2+m)*cosh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, \left(2 \, b x\right)^{-m - 3} x^{m + 3} e^{\left(-2 \, a\right)} \Gamma\left(m + 3, 2 \, b x\right) - \frac{1}{4} \, \left(-2 \, b x\right)^{-m - 3} x^{m + 3} e^{\left(2 \, a\right)} \Gamma\left(m + 3, -2 \, b x\right) + \frac{x^{m + 3}}{2 \, {\left(m + 3\right)}}"," ",0,"-1/4*(2*b*x)^(-m - 3)*x^(m + 3)*e^(-2*a)*gamma(m + 3, 2*b*x) - 1/4*(-2*b*x)^(-m - 3)*x^(m + 3)*e^(2*a)*gamma(m + 3, -2*b*x) + 1/2*x^(m + 3)/(m + 3)","A",0
90,1,71,0,2.770618," ","integrate(x^(1+m)*cosh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, \left(2 \, b x\right)^{-m - 2} x^{m + 2} e^{\left(-2 \, a\right)} \Gamma\left(m + 2, 2 \, b x\right) - \frac{1}{4} \, \left(-2 \, b x\right)^{-m - 2} x^{m + 2} e^{\left(2 \, a\right)} \Gamma\left(m + 2, -2 \, b x\right) + \frac{x^{m + 2}}{2 \, {\left(m + 2\right)}}"," ",0,"-1/4*(2*b*x)^(-m - 2)*x^(m + 2)*e^(-2*a)*gamma(m + 2, 2*b*x) - 1/4*(-2*b*x)^(-m - 2)*x^(m + 2)*e^(2*a)*gamma(m + 2, -2*b*x) + 1/2*x^(m + 2)/(m + 2)","A",0
91,1,71,0,0.903084," ","integrate(x^m*cosh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, \left(2 \, b x\right)^{-m - 1} x^{m + 1} e^{\left(-2 \, a\right)} \Gamma\left(m + 1, 2 \, b x\right) - \frac{1}{4} \, \left(-2 \, b x\right)^{-m - 1} x^{m + 1} e^{\left(2 \, a\right)} \Gamma\left(m + 1, -2 \, b x\right) + \frac{x^{m + 1}}{2 \, {\left(m + 1\right)}}"," ",0,"-1/4*(2*b*x)^(-m - 1)*x^(m + 1)*e^(-2*a)*gamma(m + 1, 2*b*x) - 1/4*(-2*b*x)^(-m - 1)*x^(m + 1)*e^(2*a)*gamma(m + 1, -2*b*x) + 1/2*x^(m + 1)/(m + 1)","A",0
92,1,55,0,0.643617," ","integrate(x^(-1+m)*cosh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{x^{m} e^{\left(-2 \, a\right)} \Gamma\left(m, 2 \, b x\right)}{4 \, \left(2 \, b x\right)^{m}} - \frac{x^{m} e^{\left(2 \, a\right)} \Gamma\left(m, -2 \, b x\right)}{4 \, \left(-2 \, b x\right)^{m}} + \frac{x^{m}}{2 \, m}"," ",0,"-1/4*x^m*e^(-2*a)*gamma(m, 2*b*x)/(2*b*x)^m - 1/4*x^m*e^(2*a)*gamma(m, -2*b*x)/(-2*b*x)^m + 1/2*x^m/m","A",0
93,-2,0,0,0.000000," ","integrate(x^(-2+m)*cosh(b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(m-2>0)', see `assume?` for more details)Is m-2 equal to -1?","F(-2)",0
94,-2,0,0,0.000000," ","integrate(x^(-3+m)*cosh(b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(m-3>0)', see `assume?` for more details)Is m-3 equal to -1?","F(-2)",0
95,0,0,0,0.000000," ","integrate(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
99,1,237,0,2.311635," ","integrate((d*x+c)^3*(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","\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{3}{2} \, a c^{2} d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{3}{2} \, a c d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + \frac{1}{2} \, a d^{3} {\left(\frac{{\left(f^{3} x^{3} e^{e} - 3 \, f^{2} x^{2} e^{e} + 6 \, f x e^{e} - 6 \, e^{e}\right)} e^{\left(f x\right)}}{f^{4}} - \frac{{\left(f^{3} x^{3} + 3 \, f^{2} x^{2} + 6 \, f x + 6\right)} e^{\left(-f x - e\right)}}{f^{4}}\right)} + \frac{a c^{3} \sinh\left(f x + e\right)}{f}"," ",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 + 3/2*a*c^2*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 3/2*a*c*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + 1/2*a*d^3*((f^3*x^3*e^e - 3*f^2*x^2*e^e + 6*f*x*e^e - 6*e^e)*e^(f*x)/f^4 - (f^3*x^3 + 3*f^2*x^2 + 6*f*x + 6)*e^(-f*x - e)/f^4) + a*c^3*sinh(f*x + e)/f","B",0
100,1,141,0,1.047827," ","integrate((d*x+c)^2*(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x + a c d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{1}{2} \, a d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + \frac{a c^{2} \sinh\left(f x + e\right)}{f}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x + a*c*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 1/2*a*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + a*c^2*sinh(f*x + e)/f","B",0
101,1,66,0,0.440668," ","integrate((d*x+c)*(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{1}{2} \, a d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{a c \sinh\left(f x + e\right)}{f}"," ",0,"1/2*a*d*x^2 + a*c*x + 1/2*a*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + a*c*sinh(f*x + e)/f","A",0
102,1,70,0,0.445615," ","integrate((a+a*cosh(f*x+e))/(d*x+c),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} + \frac{a \log\left(d x + c\right)}{d}"," ",0,"-1/2*a*(e^(-e + c*f/d)*exp_integral_e(1, (d*x + c)*f/d)/d + e^(e - c*f/d)*exp_integral_e(1, -(d*x + c)*f/d)/d) + a*log(d*x + c)/d","A",0
103,1,87,0,0.419878," ","integrate((a+a*cosh(f*x+e))/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{2}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{2}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d}\right)} - \frac{a}{d^{2} x + c d}"," ",0,"-1/2*a*(e^(-e + c*f/d)*exp_integral_e(2, (d*x + c)*f/d)/((d*x + c)*d) + e^(e - c*f/d)*exp_integral_e(2, -(d*x + c)*f/d)/((d*x + c)*d)) - a/(d^2*x + c*d)","A",0
104,1,98,0,0.572027," ","integrate((a+a*cosh(f*x+e))/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{3}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{3}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d}\right)} - \frac{a}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-1/2*a*(e^(-e + c*f/d)*exp_integral_e(3, (d*x + c)*f/d)/((d*x + c)^2*d) + e^(e - c*f/d)*exp_integral_e(3, -(d*x + c)*f/d)/((d*x + c)^2*d)) - 1/2*a/(d^3*x^2 + 2*c*d^2*x + c^2*d)","A",0
105,1,527,0,0.388071," ","integrate((d*x+c)^3*(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} d^{3} x^{4} + a^{2} c d^{2} x^{3} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + \frac{3}{16} \, {\left(4 \, x^{2} + \frac{{\left(2 \, f x e^{\left(2 \, e\right)} - e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{2}} - \frac{{\left(2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{2}}\right)} a^{2} c^{2} d + \frac{1}{16} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{3}} - \frac{3 \, {\left(2 \, f^{2} x^{2} + 2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{3}}\right)} a^{2} c d^{2} + \frac{1}{32} \, {\left(4 \, x^{4} + \frac{{\left(4 \, f^{3} x^{3} e^{\left(2 \, e\right)} - 6 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 6 \, f x e^{\left(2 \, e\right)} - 3 \, e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{4}} - \frac{{\left(4 \, f^{3} x^{3} + 6 \, f^{2} x^{2} + 6 \, f x + 3\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{4}}\right)} a^{2} d^{3} + \frac{1}{8} \, a^{2} c^{3} {\left(4 \, x + \frac{e^{\left(2 \, f x + 2 \, e\right)}}{f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{f}\right)} + a^{2} c^{3} x + 3 \, a^{2} c^{2} d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + 3 \, a^{2} c d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + a^{2} d^{3} {\left(\frac{{\left(f^{3} x^{3} e^{e} - 3 \, f^{2} x^{2} e^{e} + 6 \, f x e^{e} - 6 \, e^{e}\right)} e^{\left(f x\right)}}{f^{4}} - \frac{{\left(f^{3} x^{3} + 3 \, f^{2} x^{2} + 6 \, f x + 6\right)} e^{\left(-f x - e\right)}}{f^{4}}\right)} + \frac{2 \, a^{2} c^{3} \sinh\left(f x + e\right)}{f}"," ",0,"1/4*a^2*d^3*x^4 + a^2*c*d^2*x^3 + 3/2*a^2*c^2*d*x^2 + 3/16*(4*x^2 + (2*f*x*e^(2*e) - e^(2*e))*e^(2*f*x)/f^2 - (2*f*x + 1)*e^(-2*f*x - 2*e)/f^2)*a^2*c^2*d + 1/16*(8*x^3 + 3*(2*f^2*x^2*e^(2*e) - 2*f*x*e^(2*e) + e^(2*e))*e^(2*f*x)/f^3 - 3*(2*f^2*x^2 + 2*f*x + 1)*e^(-2*f*x - 2*e)/f^3)*a^2*c*d^2 + 1/32*(4*x^4 + (4*f^3*x^3*e^(2*e) - 6*f^2*x^2*e^(2*e) + 6*f*x*e^(2*e) - 3*e^(2*e))*e^(2*f*x)/f^4 - (4*f^3*x^3 + 6*f^2*x^2 + 6*f*x + 3)*e^(-2*f*x - 2*e)/f^4)*a^2*d^3 + 1/8*a^2*c^3*(4*x + e^(2*f*x + 2*e)/f - e^(-2*f*x - 2*e)/f) + a^2*c^3*x + 3*a^2*c^2*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 3*a^2*c*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + a^2*d^3*((f^3*x^3*e^e - 3*f^2*x^2*e^e + 6*f*x*e^e - 6*e^e)*e^(f*x)/f^4 - (f^3*x^3 + 3*f^2*x^2 + 6*f*x + 6)*e^(-f*x - e)/f^4) + 2*a^2*c^3*sinh(f*x + e)/f","B",0
106,1,327,0,0.353646," ","integrate((d*x+c)^2*(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + a^{2} c d x^{2} + \frac{1}{8} \, {\left(4 \, x^{2} + \frac{{\left(2 \, f x e^{\left(2 \, e\right)} - e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{2}} - \frac{{\left(2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{2}}\right)} a^{2} c d + \frac{1}{48} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{3}} - \frac{3 \, {\left(2 \, f^{2} x^{2} + 2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{3}}\right)} a^{2} d^{2} + \frac{1}{8} \, a^{2} c^{2} {\left(4 \, x + \frac{e^{\left(2 \, f x + 2 \, e\right)}}{f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{f}\right)} + a^{2} c^{2} x + 2 \, a^{2} c d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + a^{2} d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + \frac{2 \, a^{2} c^{2} \sinh\left(f x + e\right)}{f}"," ",0,"1/3*a^2*d^2*x^3 + a^2*c*d*x^2 + 1/8*(4*x^2 + (2*f*x*e^(2*e) - e^(2*e))*e^(2*f*x)/f^2 - (2*f*x + 1)*e^(-2*f*x - 2*e)/f^2)*a^2*c*d + 1/48*(8*x^3 + 3*(2*f^2*x^2*e^(2*e) - 2*f*x*e^(2*e) + e^(2*e))*e^(2*f*x)/f^3 - 3*(2*f^2*x^2 + 2*f*x + 1)*e^(-2*f*x - 2*e)/f^3)*a^2*d^2 + 1/8*a^2*c^2*(4*x + e^(2*f*x + 2*e)/f - e^(-2*f*x - 2*e)/f) + a^2*c^2*x + 2*a^2*c*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + a^2*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + 2*a^2*c^2*sinh(f*x + e)/f","B",0
107,1,167,0,0.487605," ","integrate((d*x+c)*(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} d x^{2} + \frac{1}{16} \, {\left(4 \, x^{2} + \frac{{\left(2 \, f x e^{\left(2 \, e\right)} - e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{2}} - \frac{{\left(2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{2}}\right)} a^{2} d + \frac{1}{8} \, a^{2} c {\left(4 \, x + \frac{e^{\left(2 \, f x + 2 \, e\right)}}{f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{f}\right)} + a^{2} c x + a^{2} d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{2 \, a^{2} c \sinh\left(f x + e\right)}{f}"," ",0,"1/2*a^2*d*x^2 + 1/16*(4*x^2 + (2*f*x*e^(2*e) - e^(2*e))*e^(2*f*x)/f^2 - (2*f*x + 1)*e^(-2*f*x - 2*e)/f^2)*a^2*d + 1/8*a^2*c*(4*x + e^(2*f*x + 2*e)/f - e^(-2*f*x - 2*e)/f) + a^2*c*x + a^2*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 2*a^2*c*sinh(f*x + e)/f","A",0
108,1,149,0,0.525211," ","integrate((a+a*cosh(f*x+e))^2/(d*x+c),x, algorithm=""maxima"")","-\frac{1}{4} \, a^{2} {\left(\frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{1}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{1}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} - \frac{2 \, \log\left(d x + c\right)}{d}\right)} - a^{2} {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} + \frac{a^{2} \log\left(d x + c\right)}{d}"," ",0,"-1/4*a^2*(e^(-2*e + 2*c*f/d)*exp_integral_e(1, 2*(d*x + c)*f/d)/d + e^(2*e - 2*c*f/d)*exp_integral_e(1, -2*(d*x + c)*f/d)/d - 2*log(d*x + c)/d) - a^2*(e^(-e + c*f/d)*exp_integral_e(1, (d*x + c)*f/d)/d + e^(e - c*f/d)*exp_integral_e(1, -(d*x + c)*f/d)/d) + a^2*log(d*x + c)/d","A",0
109,1,182,0,0.581000," ","integrate((a+a*cosh(f*x+e))^2/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, a^{2} {\left(\frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{2}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{2}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{2}{d^{2} x + c d}\right)} - a^{2} {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{2}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{2}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d}\right)} - \frac{a^{2}}{d^{2} x + c d}"," ",0,"-1/4*a^2*(e^(-2*e + 2*c*f/d)*exp_integral_e(2, 2*(d*x + c)*f/d)/((d*x + c)*d) + e^(2*e - 2*c*f/d)*exp_integral_e(2, -2*(d*x + c)*f/d)/((d*x + c)*d) + 2/(d^2*x + c*d)) - a^2*(e^(-e + c*f/d)*exp_integral_e(2, (d*x + c)*f/d)/((d*x + c)*d) + e^(e - c*f/d)*exp_integral_e(2, -(d*x + c)*f/d)/((d*x + c)*d)) - a^2/(d^2*x + c*d)","A",0
110,1,202,0,0.516737," ","integrate((a+a*cosh(f*x+e))^2/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{4} \, a^{2} {\left(\frac{1}{d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d} + \frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{3}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d} + \frac{e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{3}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d}\right)} - a^{2} {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{3}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{3}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d}\right)} - \frac{a^{2}}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-1/4*a^2*(1/(d^3*x^2 + 2*c*d^2*x + c^2*d) + e^(-2*e + 2*c*f/d)*exp_integral_e(3, 2*(d*x + c)*f/d)/((d*x + c)^2*d) + e^(2*e - 2*c*f/d)*exp_integral_e(3, -2*(d*x + c)*f/d)/((d*x + c)^2*d)) - a^2*(e^(-e + c*f/d)*exp_integral_e(3, (d*x + c)*f/d)/((d*x + c)^2*d) + e^(e - c*f/d)*exp_integral_e(3, -(d*x + c)*f/d)/((d*x + c)^2*d)) - 1/2*a^2/(d^3*x^2 + 2*c*d^2*x + c^2*d)","A",0
111,1,228,0,0.694695," ","integrate((d*x+c)^3/(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","6 \, c^{2} d {\left(\frac{x e^{\left(f x + e\right)}}{a f e^{\left(f x + e\right)} + a f} - \frac{\log\left({\left(e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a f^{2}}\right)} + \frac{2 \, c^{3}}{{\left(a e^{\left(-f x - e\right)} + a\right)} f} - \frac{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2}\right)}}{a f e^{\left(f x + e\right)} + a f} - \frac{12 \, {\left(f x \log\left(e^{\left(f x + e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(f x + e\right)}\right)\right)} c d^{2}}{a f^{3}} - \frac{6 \, {\left(f^{2} x^{2} \log\left(e^{\left(f x + e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(f x + e\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(f x + e\right)})\right)} d^{3}}{a f^{4}} + \frac{2 \, {\left(d^{3} f^{3} x^{3} + 3 \, c d^{2} f^{3} x^{2}\right)}}{a f^{4}}"," ",0,"6*c^2*d*(x*e^(f*x + e)/(a*f*e^(f*x + e) + a*f) - log((e^(f*x + e) + 1)*e^(-e))/(a*f^2)) + 2*c^3/((a*e^(-f*x - e) + a)*f) - 2*(d^3*x^3 + 3*c*d^2*x^2)/(a*f*e^(f*x + e) + a*f) - 12*(f*x*log(e^(f*x + e) + 1) + dilog(-e^(f*x + e)))*c*d^2/(a*f^3) - 6*(f^2*x^2*log(e^(f*x + e) + 1) + 2*f*x*dilog(-e^(f*x + e)) - 2*polylog(3, -e^(f*x + e)))*d^3/(a*f^4) + 2*(d^3*f^3*x^3 + 3*c*d^2*f^3*x^2)/(a*f^4)","B",0
112,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","-2 \, d^{2} {\left(\frac{x^{2}}{a f e^{\left(f x + e\right)} + a f} - 2 \, \int \frac{x}{a f e^{\left(f x + e\right)} + a f}\,{d x}\right)} + 4 \, c d {\left(\frac{x e^{\left(f x + e\right)}}{a f e^{\left(f x + e\right)} + a f} - \frac{\log\left({\left(e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a f^{2}}\right)} + \frac{2 \, c^{2}}{{\left(a e^{\left(-f x - e\right)} + a\right)} f}"," ",0,"-2*d^2*(x^2/(a*f*e^(f*x + e) + a*f) - 2*integrate(x/(a*f*e^(f*x + e) + a*f), x)) + 4*c*d*(x*e^(f*x + e)/(a*f*e^(f*x + e) + a*f) - log((e^(f*x + e) + 1)*e^(-e))/(a*f^2)) + 2*c^2/((a*e^(-f*x - e) + a)*f)","F",0
113,1,71,0,0.367233," ","integrate((d*x+c)/(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","2 \, d {\left(\frac{x e^{\left(f x + e\right)}}{a f e^{\left(f x + e\right)} + a f} - \frac{\log\left({\left(e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a f^{2}}\right)} + \frac{2 \, c}{{\left(a e^{\left(-f x - e\right)} + a\right)} f}"," ",0,"2*d*(x*e^(f*x + e)/(a*f*e^(f*x + e) + a*f) - log((e^(f*x + e) + 1)*e^(-e))/(a*f^2)) + 2*c/((a*e^(-f*x - e) + a)*f)","A",0
114,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","-2 \, d \int \frac{1}{a d^{2} f x^{2} + 2 \, a c d f x + a c^{2} f + {\left(a d^{2} f x^{2} e^{e} + 2 \, a c d f x e^{e} + a c^{2} f e^{e}\right)} e^{\left(f x\right)}}\,{d x} - \frac{2}{a d f x + a c f + {\left(a d f x e^{e} + a c f e^{e}\right)} e^{\left(f x\right)}}"," ",0,"-2*d*integrate(1/(a*d^2*f*x^2 + 2*a*c*d*f*x + a*c^2*f + (a*d^2*f*x^2*e^e + 2*a*c*d*f*x*e^e + a*c^2*f*e^e)*e^(f*x)), x) - 2/(a*d*f*x + a*c*f + (a*d*f*x*e^e + a*c*f*e^e)*e^(f*x))","F",0
115,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","-4 \, d \int \frac{1}{a d^{3} f x^{3} + 3 \, a c d^{2} f x^{2} + 3 \, a c^{2} d f x + a c^{3} f + {\left(a d^{3} f x^{3} e^{e} + 3 \, a c d^{2} f x^{2} e^{e} + 3 \, a c^{2} d f x e^{e} + a c^{3} f e^{e}\right)} e^{\left(f x\right)}}\,{d x} - \frac{2}{a d^{2} f x^{2} + 2 \, a c d f x + a c^{2} f + {\left(a d^{2} f x^{2} e^{e} + 2 \, a c d f x e^{e} + a c^{2} f e^{e}\right)} e^{\left(f x\right)}}"," ",0,"-4*d*integrate(1/(a*d^3*f*x^3 + 3*a*c*d^2*f*x^2 + 3*a*c^2*d*f*x + a*c^3*f + (a*d^3*f*x^3*e^e + 3*a*c*d^2*f*x^2*e^e + 3*a*c^2*d*f*x*e^e + a*c^3*f*e^e)*e^(f*x)), x) - 2/(a*d^2*f*x^2 + 2*a*c*d*f*x + a*c^2*f + (a*d^2*f*x^2*e^e + 2*a*c*d*f*x*e^e + a*c^2*f*e^e)*e^(f*x))","F",0
116,1,610,0,0.617399," ","integrate((d*x+c)^3/(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","2 \, c^{2} d {\left(\frac{f x e^{\left(3 \, f x + 3 \, e\right)} + {\left(3 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + e^{\left(f x + e\right)}}{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}} - \frac{\log\left({\left(e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a^{2} f^{2}}\right)} + \frac{2}{3} \, c^{3} {\left(\frac{3 \, e^{\left(-f x - e\right)}}{{\left(3 \, a^{2} e^{\left(-f x - e\right)} + 3 \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + a^{2}\right)} f} + \frac{1}{{\left(3 \, a^{2} e^{\left(-f x - e\right)} + 3 \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + a^{2}\right)} f}\right)} - \frac{2 \, {\left(d^{3} f^{2} x^{3} + 3 \, c d^{2} f^{2} x^{2} - 6 \, d^{3} x - 6 \, c d^{2} - 3 \, {\left(d^{3} f x^{2} e^{\left(2 \, e\right)} + 2 \, c d^{2} e^{\left(2 \, e\right)} + 2 \, {\left(c d^{2} f e^{\left(2 \, e\right)} + d^{3} e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)} + 3 \, {\left(d^{3} f^{2} x^{3} e^{e} - 4 \, c d^{2} e^{e} + {\left(3 \, c d^{2} f^{2} e^{e} - d^{3} f e^{e}\right)} x^{2} - 2 \, {\left(c d^{2} f e^{e} + 2 \, d^{3} e^{e}\right)} x\right)} e^{\left(f x\right)}\right)}}{3 \, {\left(a^{2} f^{3} e^{\left(3 \, f x + 3 \, e\right)} + 3 \, a^{2} f^{3} e^{\left(2 \, f x + 2 \, e\right)} + 3 \, a^{2} f^{3} e^{\left(f x + e\right)} + a^{2} f^{3}\right)}} - \frac{4 \, {\left(f x \log\left(e^{\left(f x + e\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(f x + e\right)}\right)\right)} c d^{2}}{a^{2} f^{3}} - \frac{4 \, d^{3} x}{a^{2} f^{3}} - \frac{2 \, {\left(f^{2} x^{2} \log\left(e^{\left(f x + e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-e^{\left(f x + e\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(f x + e\right)})\right)} d^{3}}{a^{2} f^{4}} + \frac{4 \, d^{3} \log\left(e^{\left(f x + e\right)} + 1\right)}{a^{2} f^{4}} + \frac{2 \, {\left(d^{3} f^{3} x^{3} + 3 \, c d^{2} f^{3} x^{2}\right)}}{3 \, a^{2} f^{4}}"," ",0,"2*c^2*d*((f*x*e^(3*f*x + 3*e) + (3*f*x*e^(2*e) + e^(2*e))*e^(2*f*x) + e^(f*x + e))/(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) - log((e^(f*x + e) + 1)*e^(-e))/(a^2*f^2)) + 2/3*c^3*(3*e^(-f*x - e)/((3*a^2*e^(-f*x - e) + 3*a^2*e^(-2*f*x - 2*e) + a^2*e^(-3*f*x - 3*e) + a^2)*f) + 1/((3*a^2*e^(-f*x - e) + 3*a^2*e^(-2*f*x - 2*e) + a^2*e^(-3*f*x - 3*e) + a^2)*f)) - 2/3*(d^3*f^2*x^3 + 3*c*d^2*f^2*x^2 - 6*d^3*x - 6*c*d^2 - 3*(d^3*f*x^2*e^(2*e) + 2*c*d^2*e^(2*e) + 2*(c*d^2*f*e^(2*e) + d^3*e^(2*e))*x)*e^(2*f*x) + 3*(d^3*f^2*x^3*e^e - 4*c*d^2*e^e + (3*c*d^2*f^2*e^e - d^3*f*e^e)*x^2 - 2*(c*d^2*f*e^e + 2*d^3*e^e)*x)*e^(f*x))/(a^2*f^3*e^(3*f*x + 3*e) + 3*a^2*f^3*e^(2*f*x + 2*e) + 3*a^2*f^3*e^(f*x + e) + a^2*f^3) - 4*(f*x*log(e^(f*x + e) + 1) + dilog(-e^(f*x + e)))*c*d^2/(a^2*f^3) - 4*d^3*x/(a^2*f^3) - 2*(f^2*x^2*log(e^(f*x + e) + 1) + 2*f*x*dilog(-e^(f*x + e)) - 2*polylog(3, -e^(f*x + e)))*d^3/(a^2*f^4) + 4*d^3*log(e^(f*x + e) + 1)/(a^2*f^4) + 2/3*(d^3*f^3*x^3 + 3*c*d^2*f^3*x^2)/(a^2*f^4)","B",0
117,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{2}{3} \, d^{2} {\left(\frac{f^{2} x^{2} - 2 \, {\left(f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + {\left(3 \, f^{2} x^{2} e^{e} - 2 \, f x e^{e} - 4 \, e^{e}\right)} e^{\left(f x\right)} - 2}{a^{2} f^{3} e^{\left(3 \, f x + 3 \, e\right)} + 3 \, a^{2} f^{3} e^{\left(2 \, f x + 2 \, e\right)} + 3 \, a^{2} f^{3} e^{\left(f x + e\right)} + a^{2} f^{3}} - 6 \, \int \frac{x}{3 \, {\left(a^{2} f e^{\left(f x + e\right)} + a^{2} f\right)}}\,{d x}\right)} + \frac{4}{3} \, c d {\left(\frac{f x e^{\left(3 \, f x + 3 \, e\right)} + {\left(3 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + e^{\left(f x + e\right)}}{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}} - \frac{\log\left({\left(e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a^{2} f^{2}}\right)} + \frac{2}{3} \, c^{2} {\left(\frac{3 \, e^{\left(-f x - e\right)}}{{\left(3 \, a^{2} e^{\left(-f x - e\right)} + 3 \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + a^{2}\right)} f} + \frac{1}{{\left(3 \, a^{2} e^{\left(-f x - e\right)} + 3 \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + a^{2}\right)} f}\right)}"," ",0,"-2/3*d^2*((f^2*x^2 - 2*(f*x*e^(2*e) + e^(2*e))*e^(2*f*x) + (3*f^2*x^2*e^e - 2*f*x*e^e - 4*e^e)*e^(f*x) - 2)/(a^2*f^3*e^(3*f*x + 3*e) + 3*a^2*f^3*e^(2*f*x + 2*e) + 3*a^2*f^3*e^(f*x + e) + a^2*f^3) - 6*integrate(1/3*x/(a^2*f*e^(f*x + e) + a^2*f), x)) + 4/3*c*d*((f*x*e^(3*f*x + 3*e) + (3*f*x*e^(2*e) + e^(2*e))*e^(2*f*x) + e^(f*x + e))/(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) - log((e^(f*x + e) + 1)*e^(-e))/(a^2*f^2)) + 2/3*c^2*(3*e^(-f*x - e)/((3*a^2*e^(-f*x - e) + 3*a^2*e^(-2*f*x - 2*e) + a^2*e^(-3*f*x - 3*e) + a^2)*f) + 1/((3*a^2*e^(-f*x - e) + 3*a^2*e^(-2*f*x - 2*e) + a^2*e^(-3*f*x - 3*e) + a^2)*f))","F",0
118,1,239,0,0.365957," ","integrate((d*x+c)/(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{2}{3} \, d {\left(\frac{f x e^{\left(3 \, f x + 3 \, e\right)} + {\left(3 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + e^{\left(f x + e\right)}}{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}} - \frac{\log\left({\left(e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a^{2} f^{2}}\right)} + \frac{2}{3} \, c {\left(\frac{3 \, e^{\left(-f x - e\right)}}{{\left(3 \, a^{2} e^{\left(-f x - e\right)} + 3 \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + a^{2}\right)} f} + \frac{1}{{\left(3 \, a^{2} e^{\left(-f x - e\right)} + 3 \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} + a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + a^{2}\right)} f}\right)}"," ",0,"2/3*d*((f*x*e^(3*f*x + 3*e) + (3*f*x*e^(2*e) + e^(2*e))*e^(2*f*x) + e^(f*x + e))/(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) - log((e^(f*x + e) + 1)*e^(-e))/(a^2*f^2)) + 2/3*c*(3*e^(-f*x - e)/((3*a^2*e^(-f*x - e) + 3*a^2*e^(-2*f*x - 2*e) + a^2*e^(-3*f*x - 3*e) + a^2)*f) + 1/((3*a^2*e^(-f*x - e) + 3*a^2*e^(-2*f*x - 2*e) + a^2*e^(-3*f*x - 3*e) + a^2)*f))","B",0
119,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} - 2 \, d^{2} + {\left(d^{2} f x e^{\left(2 \, e\right)} + c d f e^{\left(2 \, e\right)} - 2 \, d^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + {\left(3 \, d^{2} f^{2} x^{2} e^{e} + 3 \, c^{2} f^{2} e^{e} + c d f e^{e} - 4 \, d^{2} e^{e} + {\left(6 \, c d f^{2} e^{e} + d^{2} f e^{e}\right)} x\right)} e^{\left(f x\right)}\right)}}{3 \, {\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 + a^{2} c^{3} f^{3} + {\left(a^{2} d^{3} f^{3} x^{3} e^{\left(3 \, e\right)} + 3 \, a^{2} c d^{2} f^{3} x^{2} e^{\left(3 \, e\right)} + 3 \, a^{2} c^{2} d f^{3} x e^{\left(3 \, e\right)} + a^{2} c^{3} f^{3} e^{\left(3 \, e\right)}\right)} e^{\left(3 \, f x\right)} + 3 \, {\left(a^{2} d^{3} f^{3} x^{3} e^{\left(2 \, e\right)} + 3 \, a^{2} c d^{2} f^{3} x^{2} e^{\left(2 \, e\right)} + 3 \, a^{2} c^{2} d f^{3} x e^{\left(2 \, e\right)} + a^{2} c^{3} f^{3} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + 3 \, {\left(a^{2} d^{3} f^{3} x^{3} e^{e} + 3 \, a^{2} c d^{2} f^{3} x^{2} e^{e} + 3 \, a^{2} c^{2} d f^{3} x e^{e} + a^{2} c^{3} f^{3} e^{e}\right)} e^{\left(f x\right)}\right)}} - \int \frac{2 \, {\left(d^{3} f^{2} x^{2} + 2 \, c d^{2} f^{2} x + c^{2} d f^{2} - 6 \, d^{3}\right)}}{3 \, {\left(a^{2} d^{4} f^{3} x^{4} + 4 \, a^{2} c d^{3} f^{3} x^{3} + 6 \, a^{2} c^{2} d^{2} f^{3} x^{2} + 4 \, a^{2} c^{3} d f^{3} x + a^{2} c^{4} f^{3} + {\left(a^{2} d^{4} f^{3} x^{4} e^{e} + 4 \, a^{2} c d^{3} f^{3} x^{3} e^{e} + 6 \, a^{2} c^{2} d^{2} f^{3} x^{2} e^{e} + 4 \, a^{2} c^{3} d f^{3} x e^{e} + a^{2} c^{4} f^{3} e^{e}\right)} e^{\left(f x\right)}\right)}}\,{d x}"," ",0,"-2/3*(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 - 2*d^2 + (d^2*f*x*e^(2*e) + c*d*f*e^(2*e) - 2*d^2*e^(2*e))*e^(2*f*x) + (3*d^2*f^2*x^2*e^e + 3*c^2*f^2*e^e + c*d*f*e^e - 4*d^2*e^e + (6*c*d*f^2*e^e + d^2*f*e^e)*x)*e^(f*x))/(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 + a^2*c^3*f^3 + (a^2*d^3*f^3*x^3*e^(3*e) + 3*a^2*c*d^2*f^3*x^2*e^(3*e) + 3*a^2*c^2*d*f^3*x*e^(3*e) + a^2*c^3*f^3*e^(3*e))*e^(3*f*x) + 3*(a^2*d^3*f^3*x^3*e^(2*e) + 3*a^2*c*d^2*f^3*x^2*e^(2*e) + 3*a^2*c^2*d*f^3*x*e^(2*e) + a^2*c^3*f^3*e^(2*e))*e^(2*f*x) + 3*(a^2*d^3*f^3*x^3*e^e + 3*a^2*c*d^2*f^3*x^2*e^e + 3*a^2*c^2*d*f^3*x*e^e + a^2*c^3*f^3*e^e)*e^(f*x)) - integrate(2/3*(d^3*f^2*x^2 + 2*c*d^2*f^2*x + c^2*d*f^2 - 6*d^3)/(a^2*d^4*f^3*x^4 + 4*a^2*c*d^3*f^3*x^3 + 6*a^2*c^2*d^2*f^3*x^2 + 4*a^2*c^3*d*f^3*x + a^2*c^4*f^3 + (a^2*d^4*f^3*x^4*e^e + 4*a^2*c*d^3*f^3*x^3*e^e + 6*a^2*c^2*d^2*f^3*x^2*e^e + 4*a^2*c^3*d*f^3*x*e^e + a^2*c^4*f^3*e^e)*e^(f*x)), x)","F",0
120,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(d^{2} f^{2} x^{2} + 2 \, c d f^{2} x + c^{2} f^{2} - 6 \, d^{2} + 2 \, {\left(d^{2} f x e^{\left(2 \, e\right)} + c d f e^{\left(2 \, e\right)} - 3 \, d^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + {\left(3 \, d^{2} f^{2} x^{2} e^{e} + 3 \, c^{2} f^{2} e^{e} + 2 \, c d f e^{e} - 12 \, d^{2} e^{e} + 2 \, {\left(3 \, c d f^{2} e^{e} + d^{2} f e^{e}\right)} x\right)} e^{\left(f x\right)}\right)}}{3 \, {\left(a^{2} d^{4} f^{3} x^{4} + 4 \, a^{2} c d^{3} f^{3} x^{3} + 6 \, a^{2} c^{2} d^{2} f^{3} x^{2} + 4 \, a^{2} c^{3} d f^{3} x + a^{2} c^{4} f^{3} + {\left(a^{2} d^{4} f^{3} x^{4} e^{\left(3 \, e\right)} + 4 \, a^{2} c d^{3} f^{3} x^{3} e^{\left(3 \, e\right)} + 6 \, a^{2} c^{2} d^{2} f^{3} x^{2} e^{\left(3 \, e\right)} + 4 \, a^{2} c^{3} d f^{3} x e^{\left(3 \, e\right)} + a^{2} c^{4} f^{3} e^{\left(3 \, e\right)}\right)} e^{\left(3 \, f x\right)} + 3 \, {\left(a^{2} d^{4} f^{3} x^{4} e^{\left(2 \, e\right)} + 4 \, a^{2} c d^{3} f^{3} x^{3} e^{\left(2 \, e\right)} + 6 \, a^{2} c^{2} d^{2} f^{3} x^{2} e^{\left(2 \, e\right)} + 4 \, a^{2} c^{3} d f^{3} x e^{\left(2 \, e\right)} + a^{2} c^{4} f^{3} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + 3 \, {\left(a^{2} d^{4} f^{3} x^{4} e^{e} + 4 \, a^{2} c d^{3} f^{3} x^{3} e^{e} + 6 \, a^{2} c^{2} d^{2} f^{3} x^{2} e^{e} + 4 \, a^{2} c^{3} d f^{3} x e^{e} + a^{2} c^{4} f^{3} e^{e}\right)} e^{\left(f x\right)}\right)}} - \int \frac{4 \, {\left(d^{3} f^{2} x^{2} + 2 \, c d^{2} f^{2} x + c^{2} d f^{2} - 12 \, d^{3}\right)}}{3 \, {\left(a^{2} d^{5} f^{3} x^{5} + 5 \, a^{2} c d^{4} f^{3} x^{4} + 10 \, a^{2} c^{2} d^{3} f^{3} x^{3} + 10 \, a^{2} c^{3} d^{2} f^{3} x^{2} + 5 \, a^{2} c^{4} d f^{3} x + a^{2} c^{5} f^{3} + {\left(a^{2} d^{5} f^{3} x^{5} e^{e} + 5 \, a^{2} c d^{4} f^{3} x^{4} e^{e} + 10 \, a^{2} c^{2} d^{3} f^{3} x^{3} e^{e} + 10 \, a^{2} c^{3} d^{2} f^{3} x^{2} e^{e} + 5 \, a^{2} c^{4} d f^{3} x e^{e} + a^{2} c^{5} f^{3} e^{e}\right)} e^{\left(f x\right)}\right)}}\,{d x}"," ",0,"-2/3*(d^2*f^2*x^2 + 2*c*d*f^2*x + c^2*f^2 - 6*d^2 + 2*(d^2*f*x*e^(2*e) + c*d*f*e^(2*e) - 3*d^2*e^(2*e))*e^(2*f*x) + (3*d^2*f^2*x^2*e^e + 3*c^2*f^2*e^e + 2*c*d*f*e^e - 12*d^2*e^e + 2*(3*c*d*f^2*e^e + d^2*f*e^e)*x)*e^(f*x))/(a^2*d^4*f^3*x^4 + 4*a^2*c*d^3*f^3*x^3 + 6*a^2*c^2*d^2*f^3*x^2 + 4*a^2*c^3*d*f^3*x + a^2*c^4*f^3 + (a^2*d^4*f^3*x^4*e^(3*e) + 4*a^2*c*d^3*f^3*x^3*e^(3*e) + 6*a^2*c^2*d^2*f^3*x^2*e^(3*e) + 4*a^2*c^3*d*f^3*x*e^(3*e) + a^2*c^4*f^3*e^(3*e))*e^(3*f*x) + 3*(a^2*d^4*f^3*x^4*e^(2*e) + 4*a^2*c*d^3*f^3*x^3*e^(2*e) + 6*a^2*c^2*d^2*f^3*x^2*e^(2*e) + 4*a^2*c^3*d*f^3*x*e^(2*e) + a^2*c^4*f^3*e^(2*e))*e^(2*f*x) + 3*(a^2*d^4*f^3*x^4*e^e + 4*a^2*c*d^3*f^3*x^3*e^e + 6*a^2*c^2*d^2*f^3*x^2*e^e + 4*a^2*c^3*d*f^3*x*e^e + a^2*c^4*f^3*e^e)*e^(f*x)) - integrate(4/3*(d^3*f^2*x^2 + 2*c*d^2*f^2*x + c^2*d*f^2 - 12*d^3)/(a^2*d^5*f^3*x^5 + 5*a^2*c*d^4*f^3*x^4 + 10*a^2*c^2*d^3*f^3*x^3 + 10*a^2*c^3*d^2*f^3*x^2 + 5*a^2*c^4*d*f^3*x + a^2*c^5*f^3 + (a^2*d^5*f^3*x^5*e^e + 5*a^2*c*d^4*f^3*x^4*e^e + 10*a^2*c^2*d^3*f^3*x^3*e^e + 10*a^2*c^3*d^2*f^3*x^2*e^e + 5*a^2*c^4*d*f^3*x*e^e + a^2*c^5*f^3*e^e)*e^(f*x)), x)","F",0
121,1,120,0,0.450031," ","integrate(x^3*(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","-\frac{{\left(\sqrt{2} \sqrt{a} d^{3} x^{3} + 6 \, \sqrt{2} \sqrt{a} d^{2} x^{2} + 24 \, \sqrt{2} \sqrt{a} d x - {\left(\sqrt{2} \sqrt{a} d^{3} x^{3} e^{c} - 6 \, \sqrt{2} \sqrt{a} d^{2} x^{2} e^{c} + 24 \, \sqrt{2} \sqrt{a} d x e^{c} - 48 \, \sqrt{2} \sqrt{a} e^{c}\right)} e^{\left(d x\right)} + 48 \, \sqrt{2} \sqrt{a}\right)} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{d^{4}}"," ",0,"-(sqrt(2)*sqrt(a)*d^3*x^3 + 6*sqrt(2)*sqrt(a)*d^2*x^2 + 24*sqrt(2)*sqrt(a)*d*x - (sqrt(2)*sqrt(a)*d^3*x^3*e^c - 6*sqrt(2)*sqrt(a)*d^2*x^2*e^c + 24*sqrt(2)*sqrt(a)*d*x*e^c - 48*sqrt(2)*sqrt(a)*e^c)*e^(d*x) + 48*sqrt(2)*sqrt(a))*e^(-1/2*d*x - 1/2*c)/d^4","A",0
122,1,90,0,0.451922," ","integrate(x^2*(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","-\frac{{\left(\sqrt{2} \sqrt{a} d^{2} x^{2} + 4 \, \sqrt{2} \sqrt{a} d x - {\left(\sqrt{2} \sqrt{a} d^{2} x^{2} e^{c} - 4 \, \sqrt{2} \sqrt{a} d x e^{c} + 8 \, \sqrt{2} \sqrt{a} e^{c}\right)} e^{\left(d x\right)} + 8 \, \sqrt{2} \sqrt{a}\right)} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{d^{3}}"," ",0,"-(sqrt(2)*sqrt(a)*d^2*x^2 + 4*sqrt(2)*sqrt(a)*d*x - (sqrt(2)*sqrt(a)*d^2*x^2*e^c - 4*sqrt(2)*sqrt(a)*d*x*e^c + 8*sqrt(2)*sqrt(a)*e^c)*e^(d*x) + 8*sqrt(2)*sqrt(a))*e^(-1/2*d*x - 1/2*c)/d^3","A",0
123,1,60,0,0.445162," ","integrate(x*(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","-\frac{{\left(\sqrt{2} \sqrt{a} d x - {\left(\sqrt{2} \sqrt{a} d x e^{c} - 2 \, \sqrt{2} \sqrt{a} e^{c}\right)} e^{\left(d x\right)} + 2 \, \sqrt{2} \sqrt{a}\right)} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{d^{2}}"," ",0,"-(sqrt(2)*sqrt(a)*d*x - (sqrt(2)*sqrt(a)*d*x*e^c - 2*sqrt(2)*sqrt(a)*e^c)*e^(d*x) + 2*sqrt(2)*sqrt(a))*e^(-1/2*d*x - 1/2*c)/d^2","A",0
124,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{a \cosh\left(d x + c\right) + a}}{x}\,{d x}"," ",0,"integrate(sqrt(a*cosh(d*x + c) + a)/x, x)","F",0
125,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a \cosh\left(d x + c\right) + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*cosh(d*x + c) + a)/x^2, x)","F",0
126,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{a \cosh\left(d x + c\right) + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(a*cosh(d*x + c) + a)/x^3, x)","F",0
127,1,88,0,0.408903," ","integrate(x^3*(a+a*cosh(x))^(1/2),x, algorithm=""maxima"")","-{\left(\sqrt{2} \sqrt{a} x^{3} + 6 \, \sqrt{2} \sqrt{a} x^{2} + 24 \, \sqrt{2} \sqrt{a} x - {\left(\sqrt{2} \sqrt{a} x^{3} - 6 \, \sqrt{2} \sqrt{a} x^{2} + 24 \, \sqrt{2} \sqrt{a} x - 48 \, \sqrt{2} \sqrt{a}\right)} e^{x} + 48 \, \sqrt{2} \sqrt{a}\right)} e^{\left(-\frac{1}{2} \, x\right)}"," ",0,"-(sqrt(2)*sqrt(a)*x^3 + 6*sqrt(2)*sqrt(a)*x^2 + 24*sqrt(2)*sqrt(a)*x - (sqrt(2)*sqrt(a)*x^3 - 6*sqrt(2)*sqrt(a)*x^2 + 24*sqrt(2)*sqrt(a)*x - 48*sqrt(2)*sqrt(a))*e^x + 48*sqrt(2)*sqrt(a))*e^(-1/2*x)","A",0
128,1,66,0,0.423592," ","integrate(x^2*(a+a*cosh(x))^(1/2),x, algorithm=""maxima"")","-{\left(\sqrt{2} \sqrt{a} x^{2} + 4 \, \sqrt{2} \sqrt{a} x - {\left(\sqrt{2} \sqrt{a} x^{2} - 4 \, \sqrt{2} \sqrt{a} x + 8 \, \sqrt{2} \sqrt{a}\right)} e^{x} + 8 \, \sqrt{2} \sqrt{a}\right)} e^{\left(-\frac{1}{2} \, x\right)}"," ",0,"-(sqrt(2)*sqrt(a)*x^2 + 4*sqrt(2)*sqrt(a)*x - (sqrt(2)*sqrt(a)*x^2 - 4*sqrt(2)*sqrt(a)*x + 8*sqrt(2)*sqrt(a))*e^x + 8*sqrt(2)*sqrt(a))*e^(-1/2*x)","A",0
129,1,44,0,0.407787," ","integrate(x*(a+a*cosh(x))^(1/2),x, algorithm=""maxima"")","-{\left(\sqrt{2} \sqrt{a} x - {\left(\sqrt{2} \sqrt{a} x - 2 \, \sqrt{2} \sqrt{a}\right)} e^{x} + 2 \, \sqrt{2} \sqrt{a}\right)} e^{\left(-\frac{1}{2} \, x\right)}"," ",0,"-(sqrt(2)*sqrt(a)*x - (sqrt(2)*sqrt(a)*x - 2*sqrt(2)*sqrt(a))*e^x + 2*sqrt(2)*sqrt(a))*e^(-1/2*x)","A",0
130,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(1/2)/x,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
133,1,180,0,0.446198," ","integrate(x^3*(a+a*cosh(x))^(3/2),x, algorithm=""maxima"")","-\frac{1}{54} \, {\left(9 \, \sqrt{2} a^{\frac{3}{2}} x^{3} + 18 \, \sqrt{2} a^{\frac{3}{2}} x^{2} + 24 \, \sqrt{2} a^{\frac{3}{2}} x + 16 \, \sqrt{2} a^{\frac{3}{2}} - {\left(9 \, \sqrt{2} a^{\frac{3}{2}} x^{3} - 18 \, \sqrt{2} a^{\frac{3}{2}} x^{2} + 24 \, \sqrt{2} a^{\frac{3}{2}} x - 16 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{\left(3 \, x\right)} - 81 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} - 6 \, \sqrt{2} a^{\frac{3}{2}} x^{2} + 24 \, \sqrt{2} a^{\frac{3}{2}} x - 48 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{\left(2 \, x\right)} + 81 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{3} + 6 \, \sqrt{2} a^{\frac{3}{2}} x^{2} + 24 \, \sqrt{2} a^{\frac{3}{2}} x + 48 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{x}\right)} e^{\left(-\frac{3}{2} \, x\right)}"," ",0,"-1/54*(9*sqrt(2)*a^(3/2)*x^3 + 18*sqrt(2)*a^(3/2)*x^2 + 24*sqrt(2)*a^(3/2)*x + 16*sqrt(2)*a^(3/2) - (9*sqrt(2)*a^(3/2)*x^3 - 18*sqrt(2)*a^(3/2)*x^2 + 24*sqrt(2)*a^(3/2)*x - 16*sqrt(2)*a^(3/2))*e^(3*x) - 81*(sqrt(2)*a^(3/2)*x^3 - 6*sqrt(2)*a^(3/2)*x^2 + 24*sqrt(2)*a^(3/2)*x - 48*sqrt(2)*a^(3/2))*e^(2*x) + 81*(sqrt(2)*a^(3/2)*x^3 + 6*sqrt(2)*a^(3/2)*x^2 + 24*sqrt(2)*a^(3/2)*x + 48*sqrt(2)*a^(3/2))*e^x)*e^(-3/2*x)","A",0
134,1,136,0,0.413972," ","integrate(x^2*(a+a*cosh(x))^(3/2),x, algorithm=""maxima"")","-\frac{1}{54} \, {\left(9 \, \sqrt{2} a^{\frac{3}{2}} x^{2} + 12 \, \sqrt{2} a^{\frac{3}{2}} x + 8 \, \sqrt{2} a^{\frac{3}{2}} - {\left(9 \, \sqrt{2} a^{\frac{3}{2}} x^{2} - 12 \, \sqrt{2} a^{\frac{3}{2}} x + 8 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{\left(3 \, x\right)} - 81 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{2} - 4 \, \sqrt{2} a^{\frac{3}{2}} x + 8 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{\left(2 \, x\right)} + 81 \, {\left(\sqrt{2} a^{\frac{3}{2}} x^{2} + 4 \, \sqrt{2} a^{\frac{3}{2}} x + 8 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{x}\right)} e^{\left(-\frac{3}{2} \, x\right)}"," ",0,"-1/54*(9*sqrt(2)*a^(3/2)*x^2 + 12*sqrt(2)*a^(3/2)*x + 8*sqrt(2)*a^(3/2) - (9*sqrt(2)*a^(3/2)*x^2 - 12*sqrt(2)*a^(3/2)*x + 8*sqrt(2)*a^(3/2))*e^(3*x) - 81*(sqrt(2)*a^(3/2)*x^2 - 4*sqrt(2)*a^(3/2)*x + 8*sqrt(2)*a^(3/2))*e^(2*x) + 81*(sqrt(2)*a^(3/2)*x^2 + 4*sqrt(2)*a^(3/2)*x + 8*sqrt(2)*a^(3/2))*e^x)*e^(-3/2*x)","A",0
135,1,92,0,0.417810," ","integrate(x*(a+a*cosh(x))^(3/2),x, algorithm=""maxima"")","-\frac{1}{18} \, {\left(3 \, \sqrt{2} a^{\frac{3}{2}} x + 2 \, \sqrt{2} a^{\frac{3}{2}} - {\left(3 \, \sqrt{2} a^{\frac{3}{2}} x - 2 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{\left(3 \, x\right)} - 27 \, {\left(\sqrt{2} a^{\frac{3}{2}} x - 2 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{\left(2 \, x\right)} + 27 \, {\left(\sqrt{2} a^{\frac{3}{2}} x + 2 \, \sqrt{2} a^{\frac{3}{2}}\right)} e^{x}\right)} e^{\left(-\frac{3}{2} \, x\right)}"," ",0,"-1/18*(3*sqrt(2)*a^(3/2)*x + 2*sqrt(2)*a^(3/2) - (3*sqrt(2)*a^(3/2)*x - 2*sqrt(2)*a^(3/2))*e^(3*x) - 27*(sqrt(2)*a^(3/2)*x - 2*sqrt(2)*a^(3/2))*e^(2*x) + 27*(sqrt(2)*a^(3/2)*x + 2*sqrt(2)*a^(3/2))*e^x)*e^(-3/2*x)","A",0
136,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((a*cosh(x) + a)^(3/2)/x, x)","F",0
137,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((a*cosh(x) + a)^(3/2)/x^2, x)","F",0
138,0,0,0,0.000000," ","integrate((a+a*cosh(x))^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(a \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((a*cosh(x) + a)^(3/2)/x^3, x)","F",0
139,0,0,0,0.000000," ","integrate(x^3/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{2} d^{3} \int \frac{x^{3} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, \sqrt{a} d^{3} e^{\left(d x + c\right)} + \sqrt{a} d^{3}}\,{d x} + 12 \, \sqrt{2} d^{2} \int \frac{x^{2} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, \sqrt{a} d^{3} e^{\left(d x + c\right)} + \sqrt{a} d^{3}}\,{d x} + 48 \, \sqrt{2} d \int \frac{x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, \sqrt{a} d^{3} e^{\left(d x + c\right)} + \sqrt{a} d^{3}}\,{d x} + 96 \, \sqrt{2} {\left(\frac{e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{{\left(\sqrt{a} d^{3} e^{\left(d x + c\right)} + \sqrt{a} d^{3}\right)} d} + \frac{\arctan\left(e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}\right)}{\sqrt{a} d^{4}}\right)} - \frac{2 \, {\left(\sqrt{2} \sqrt{a} d^{3} x^{3} e^{\left(\frac{1}{2} \, c\right)} + 6 \, \sqrt{2} \sqrt{a} d^{2} x^{2} e^{\left(\frac{1}{2} \, c\right)} + 24 \, \sqrt{2} \sqrt{a} d x e^{\left(\frac{1}{2} \, c\right)} + 48 \, \sqrt{2} \sqrt{a} e^{\left(\frac{1}{2} \, c\right)}\right)} e^{\left(\frac{1}{2} \, d x\right)}}{a d^{4} e^{\left(d x + c\right)} + a d^{4}}"," ",0,"2*sqrt(2)*d^3*integrate(x^3*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d^3*e^(2*d*x + 2*c) + 2*sqrt(a)*d^3*e^(d*x + c) + sqrt(a)*d^3), x) + 12*sqrt(2)*d^2*integrate(x^2*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d^3*e^(2*d*x + 2*c) + 2*sqrt(a)*d^3*e^(d*x + c) + sqrt(a)*d^3), x) + 48*sqrt(2)*d*integrate(x*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d^3*e^(2*d*x + 2*c) + 2*sqrt(a)*d^3*e^(d*x + c) + sqrt(a)*d^3), x) + 96*sqrt(2)*(e^(1/2*d*x + 1/2*c)/((sqrt(a)*d^3*e^(d*x + c) + sqrt(a)*d^3)*d) + arctan(e^(1/2*d*x + 1/2*c))/(sqrt(a)*d^4)) - 2*(sqrt(2)*sqrt(a)*d^3*x^3*e^(1/2*c) + 6*sqrt(2)*sqrt(a)*d^2*x^2*e^(1/2*c) + 24*sqrt(2)*sqrt(a)*d*x*e^(1/2*c) + 48*sqrt(2)*sqrt(a)*e^(1/2*c))*e^(1/2*d*x)/(a*d^4*e^(d*x + c) + a*d^4)","F",0
140,0,0,0,0.000000," ","integrate(x^2/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{2} d^{2} \int \frac{x^{2} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, \sqrt{a} d^{2} e^{\left(d x + c\right)} + \sqrt{a} d^{2}}\,{d x} + 8 \, \sqrt{2} d \int \frac{x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, \sqrt{a} d^{2} e^{\left(d x + c\right)} + \sqrt{a} d^{2}}\,{d x} + 16 \, \sqrt{2} {\left(\frac{e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{{\left(\sqrt{a} d^{2} e^{\left(d x + c\right)} + \sqrt{a} d^{2}\right)} d} + \frac{\arctan\left(e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}\right)}{\sqrt{a} d^{3}}\right)} - \frac{2 \, {\left(\sqrt{2} d^{2} x^{2} e^{\left(\frac{1}{2} \, c\right)} + 4 \, \sqrt{2} d x e^{\left(\frac{1}{2} \, c\right)} + 8 \, \sqrt{2} e^{\left(\frac{1}{2} \, c\right)}\right)} e^{\left(\frac{1}{2} \, d x\right)}}{\sqrt{a} d^{3} e^{\left(d x + c\right)} + \sqrt{a} d^{3}}"," ",0,"2*sqrt(2)*d^2*integrate(x^2*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d^2*e^(2*d*x + 2*c) + 2*sqrt(a)*d^2*e^(d*x + c) + sqrt(a)*d^2), x) + 8*sqrt(2)*d*integrate(x*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d^2*e^(2*d*x + 2*c) + 2*sqrt(a)*d^2*e^(d*x + c) + sqrt(a)*d^2), x) + 16*sqrt(2)*(e^(1/2*d*x + 1/2*c)/((sqrt(a)*d^2*e^(d*x + c) + sqrt(a)*d^2)*d) + arctan(e^(1/2*d*x + 1/2*c))/(sqrt(a)*d^3)) - 2*(sqrt(2)*d^2*x^2*e^(1/2*c) + 4*sqrt(2)*d*x*e^(1/2*c) + 8*sqrt(2)*e^(1/2*c))*e^(1/2*d*x)/(sqrt(a)*d^3*e^(d*x + c) + sqrt(a)*d^3)","F",0
141,0,0,0,0.000000," ","integrate(x/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{2} d \int \frac{x e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, \sqrt{a} d e^{\left(d x + c\right)} + \sqrt{a} d}\,{d x} + 4 \, \sqrt{2} {\left(\frac{e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{{\left(\sqrt{a} d e^{\left(d x + c\right)} + \sqrt{a} d\right)} d} + \frac{\arctan\left(e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}\right)}{\sqrt{a} d^{2}}\right)} - \frac{2 \, {\left(\sqrt{2} \sqrt{a} d x e^{\left(\frac{1}{2} \, c\right)} + 2 \, \sqrt{2} \sqrt{a} e^{\left(\frac{1}{2} \, c\right)}\right)} e^{\left(\frac{1}{2} \, d x\right)}}{a d^{2} e^{\left(d x + c\right)} + a d^{2}}"," ",0,"2*sqrt(2)*d*integrate(x*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d*e^(2*d*x + 2*c) + 2*sqrt(a)*d*e^(d*x + c) + sqrt(a)*d), x) + 4*sqrt(2)*(e^(1/2*d*x + 1/2*c)/((sqrt(a)*d*e^(d*x + c) + sqrt(a)*d)*d) + arctan(e^(1/2*d*x + 1/2*c))/(sqrt(a)*d^2)) - 2*(sqrt(2)*sqrt(a)*d*x*e^(1/2*c) + 2*sqrt(2)*sqrt(a)*e^(1/2*c))*e^(1/2*d*x)/(a*d^2*e^(d*x + c) + a*d^2)","F",0
142,0,0,0,0.000000," ","integrate(1/x/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\frac{8}{27} \, \sqrt{2} {\left(\frac{3 \, e^{\left(\frac{5}{2} \, x\right)} + 8 \, e^{\left(\frac{3}{2} \, x\right)} - 3 \, e^{\left(\frac{1}{2} \, x\right)}}{a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}} + \frac{3 \, \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{a^{\frac{3}{2}}}\right)} + 36 \, \sqrt{2} \int \frac{x^{3} e^{\left(\frac{3}{2} \, x\right)}}{9 \, {\left(a^{\frac{3}{2}} e^{\left(4 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 6 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}\,{d x} + 72 \, \sqrt{2} \int \frac{x^{2} e^{\left(\frac{3}{2} \, x\right)}}{9 \, {\left(a^{\frac{3}{2}} e^{\left(4 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 6 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}\,{d x} + 96 \, \sqrt{2} \int \frac{x e^{\left(\frac{3}{2} \, x\right)}}{9 \, {\left(a^{\frac{3}{2}} e^{\left(4 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 6 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}\,{d x} - \frac{4 \, {\left(9 \, \sqrt{2} \sqrt{a} x^{3} + 18 \, \sqrt{2} \sqrt{a} x^{2} + 24 \, \sqrt{2} \sqrt{a} x + 16 \, \sqrt{2} \sqrt{a}\right)} e^{\left(\frac{3}{2} \, x\right)}}{27 \, {\left(a^{2} e^{\left(3 \, x\right)} + 3 \, a^{2} e^{\left(2 \, x\right)} + 3 \, a^{2} e^{x} + a^{2}\right)}}"," ",0,"8/27*sqrt(2)*((3*e^(5/2*x) + 8*e^(3/2*x) - 3*e^(1/2*x))/(a^(3/2)*e^(3*x) + 3*a^(3/2)*e^(2*x) + 3*a^(3/2)*e^x + a^(3/2)) + 3*arctan(e^(1/2*x))/a^(3/2)) + 36*sqrt(2)*integrate(1/9*x^3*e^(3/2*x)/(a^(3/2)*e^(4*x) + 4*a^(3/2)*e^(3*x) + 6*a^(3/2)*e^(2*x) + 4*a^(3/2)*e^x + a^(3/2)), x) + 72*sqrt(2)*integrate(1/9*x^2*e^(3/2*x)/(a^(3/2)*e^(4*x) + 4*a^(3/2)*e^(3*x) + 6*a^(3/2)*e^(2*x) + 4*a^(3/2)*e^x + a^(3/2)), x) + 96*sqrt(2)*integrate(1/9*x*e^(3/2*x)/(a^(3/2)*e^(4*x) + 4*a^(3/2)*e^(3*x) + 6*a^(3/2)*e^(2*x) + 4*a^(3/2)*e^x + a^(3/2)), x) - 4/27*(9*sqrt(2)*sqrt(a)*x^3 + 18*sqrt(2)*sqrt(a)*x^2 + 24*sqrt(2)*sqrt(a)*x + 16*sqrt(2)*sqrt(a))*e^(3/2*x)/(a^2*e^(3*x) + 3*a^2*e^(2*x) + 3*a^2*e^x + a^2)","F",0
145,0,0,0,0.000000," ","integrate(x^2/(a+a*cosh(x))^(3/2),x, algorithm=""maxima"")","\frac{4}{27} \, \sqrt{2} {\left(\frac{3 \, e^{\left(\frac{5}{2} \, x\right)} + 8 \, e^{\left(\frac{3}{2} \, x\right)} - 3 \, e^{\left(\frac{1}{2} \, x\right)}}{a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}} + \frac{3 \, \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{a^{\frac{3}{2}}}\right)} + 36 \, \sqrt{2} \int \frac{x^{2} e^{\left(\frac{3}{2} \, x\right)}}{9 \, {\left(a^{\frac{3}{2}} e^{\left(4 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 6 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}\,{d x} + 48 \, \sqrt{2} \int \frac{x e^{\left(\frac{3}{2} \, x\right)}}{9 \, {\left(a^{\frac{3}{2}} e^{\left(4 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 6 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}\,{d x} - \frac{4 \, {\left(9 \, \sqrt{2} x^{2} + 12 \, \sqrt{2} x + 8 \, \sqrt{2}\right)} e^{\left(\frac{3}{2} \, x\right)}}{27 \, {\left(a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}"," ",0,"4/27*sqrt(2)*((3*e^(5/2*x) + 8*e^(3/2*x) - 3*e^(1/2*x))/(a^(3/2)*e^(3*x) + 3*a^(3/2)*e^(2*x) + 3*a^(3/2)*e^x + a^(3/2)) + 3*arctan(e^(1/2*x))/a^(3/2)) + 36*sqrt(2)*integrate(1/9*x^2*e^(3/2*x)/(a^(3/2)*e^(4*x) + 4*a^(3/2)*e^(3*x) + 6*a^(3/2)*e^(2*x) + 4*a^(3/2)*e^x + a^(3/2)), x) + 48*sqrt(2)*integrate(1/9*x*e^(3/2*x)/(a^(3/2)*e^(4*x) + 4*a^(3/2)*e^(3*x) + 6*a^(3/2)*e^(2*x) + 4*a^(3/2)*e^x + a^(3/2)), x) - 4/27*(9*sqrt(2)*x^2 + 12*sqrt(2)*x + 8*sqrt(2))*e^(3/2*x)/(a^(3/2)*e^(3*x) + 3*a^(3/2)*e^(2*x) + 3*a^(3/2)*e^x + a^(3/2))","F",0
146,0,0,0,0.000000," ","integrate(x/(a+a*cosh(x))^(3/2),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{2} {\left(\frac{3 \, e^{\left(\frac{5}{2} \, x\right)} + 8 \, e^{\left(\frac{3}{2} \, x\right)} - 3 \, e^{\left(\frac{1}{2} \, x\right)}}{a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 3 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}} + \frac{3 \, \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{a^{\frac{3}{2}}}\right)} + 12 \, \sqrt{2} \int \frac{x e^{\left(\frac{3}{2} \, x\right)}}{3 \, {\left(a^{\frac{3}{2}} e^{\left(4 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + 6 \, a^{\frac{3}{2}} e^{\left(2 \, x\right)} + 4 \, a^{\frac{3}{2}} e^{x} + a^{\frac{3}{2}}\right)}}\,{d x} - \frac{4 \, {\left(3 \, \sqrt{2} \sqrt{a} x + 2 \, \sqrt{2} \sqrt{a}\right)} e^{\left(\frac{3}{2} \, x\right)}}{9 \, {\left(a^{2} e^{\left(3 \, x\right)} + 3 \, a^{2} e^{\left(2 \, x\right)} + 3 \, a^{2} e^{x} + a^{2}\right)}}"," ",0,"1/9*sqrt(2)*((3*e^(5/2*x) + 8*e^(3/2*x) - 3*e^(1/2*x))/(a^(3/2)*e^(3*x) + 3*a^(3/2)*e^(2*x) + 3*a^(3/2)*e^x + a^(3/2)) + 3*arctan(e^(1/2*x))/a^(3/2)) + 12*sqrt(2)*integrate(1/3*x*e^(3/2*x)/(a^(3/2)*e^(4*x) + 4*a^(3/2)*e^(3*x) + 6*a^(3/2)*e^(2*x) + 4*a^(3/2)*e^x + a^(3/2)), x) - 4/9*(3*sqrt(2)*sqrt(a)*x + 2*sqrt(2)*sqrt(a))*e^(3/2*x)/(a^2*e^(3*x) + 3*a^2*e^(2*x) + 3*a^2*e^x + a^2)","F",0
147,0,0,0,0.000000," ","integrate(1/x/(a+a*cosh(x))^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
151,1,373,0,0.477300," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e))^3,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-3 \, e + \frac{3 \, c f}{d}\right)} E_{-m}\left(\frac{3 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{3 \, {\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{3 \, {\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(3 \, e - \frac{3 \, c f}{d}\right)} E_{-m}\left(-\frac{3 \, {\left(d x + c\right)} f}{d}\right)}{d}\right)} a^{3} - \frac{3}{4} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{-m}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{-m}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} - \frac{2 \, {\left(d x + c\right)}^{m + 1}}{d {\left(m + 1\right)}}\right)} a^{3} - \frac{3}{2} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} a^{3} + \frac{{\left(d x + c\right)}^{m + 1} a^{3}}{d {\left(m + 1\right)}}"," ",0,"-1/8*((d*x + c)^(m + 1)*e^(-3*e + 3*c*f/d)*exp_integral_e(-m, 3*(d*x + c)*f/d)/d + 3*(d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + 3*(d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(3*e - 3*c*f/d)*exp_integral_e(-m, -3*(d*x + c)*f/d)/d)*a^3 - 3/4*((d*x + c)^(m + 1)*e^(-2*e + 2*c*f/d)*exp_integral_e(-m, 2*(d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(2*e - 2*c*f/d)*exp_integral_e(-m, -2*(d*x + c)*f/d)/d - 2*(d*x + c)^(m + 1)/(d*(m + 1)))*a^3 - 3/2*((d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d)*a^3 + (d*x + c)^(m + 1)*a^3/(d*(m + 1))","A",0
152,1,209,0,0.425812," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e))^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{-m}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{-m}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} - \frac{2 \, {\left(d x + c\right)}^{m + 1}}{d {\left(m + 1\right)}}\right)} a^{2} - {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} a^{2} + \frac{{\left(d x + c\right)}^{m + 1} a^{2}}{d {\left(m + 1\right)}}"," ",0,"-1/4*((d*x + c)^(m + 1)*e^(-2*e + 2*c*f/d)*exp_integral_e(-m, 2*(d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(2*e - 2*c*f/d)*exp_integral_e(-m, -2*(d*x + c)*f/d)/d - 2*(d*x + c)^(m + 1)/(d*(m + 1)))*a^2 - ((d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d)*a^2 + (d*x + c)^(m + 1)*a^2/(d*(m + 1))","A",0
153,1,100,0,0.410745," ","integrate((d*x+c)^m*(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} a + \frac{{\left(d x + c\right)}^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"-1/2*((d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d)*a + (d*x + c)^(m + 1)*a/(d*(m + 1))","A",0
154,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*cosh(f*x+e)),x, algorithm=""maxima"")","\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=""maxima"")","\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
156,1,237,0,0.349875," ","integrate((d*x+c)^3*(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\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{3}{2} \, b c^{2} d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{3}{2} \, b c d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + \frac{1}{2} \, b d^{3} {\left(\frac{{\left(f^{3} x^{3} e^{e} - 3 \, f^{2} x^{2} e^{e} + 6 \, f x e^{e} - 6 \, e^{e}\right)} e^{\left(f x\right)}}{f^{4}} - \frac{{\left(f^{3} x^{3} + 3 \, f^{2} x^{2} + 6 \, f x + 6\right)} e^{\left(-f x - e\right)}}{f^{4}}\right)} + \frac{b c^{3} \sinh\left(f x + e\right)}{f}"," ",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 + 3/2*b*c^2*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 3/2*b*c*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + 1/2*b*d^3*((f^3*x^3*e^e - 3*f^2*x^2*e^e + 6*f*x*e^e - 6*e^e)*e^(f*x)/f^4 - (f^3*x^3 + 3*f^2*x^2 + 6*f*x + 6)*e^(-f*x - e)/f^4) + b*c^3*sinh(f*x + e)/f","B",0
157,1,141,0,0.333857," ","integrate((d*x+c)^2*(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x + b c d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{1}{2} \, b d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + \frac{b c^{2} \sinh\left(f x + e\right)}{f}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x + b*c*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 1/2*b*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + b*c^2*sinh(f*x + e)/f","B",0
158,1,66,0,0.352363," ","integrate((d*x+c)*(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{1}{2} \, b d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{b c \sinh\left(f x + e\right)}{f}"," ",0,"1/2*a*d*x^2 + a*c*x + 1/2*b*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + b*c*sinh(f*x + e)/f","A",0
159,1,70,0,0.389476," ","integrate((a+b*cosh(f*x+e))/(d*x+c),x, algorithm=""maxima"")","-\frac{1}{2} \, b {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} + \frac{a \log\left(d x + c\right)}{d}"," ",0,"-1/2*b*(e^(-e + c*f/d)*exp_integral_e(1, (d*x + c)*f/d)/d + e^(e - c*f/d)*exp_integral_e(1, -(d*x + c)*f/d)/d) + a*log(d*x + c)/d","A",0
160,1,87,0,0.395083," ","integrate((a+b*cosh(f*x+e))/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, b {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{2}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{2}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d}\right)} - \frac{a}{d^{2} x + c d}"," ",0,"-1/2*b*(e^(-e + c*f/d)*exp_integral_e(2, (d*x + c)*f/d)/((d*x + c)*d) + e^(e - c*f/d)*exp_integral_e(2, -(d*x + c)*f/d)/((d*x + c)*d)) - a/(d^2*x + c*d)","A",0
161,1,98,0,0.413765," ","integrate((a+b*cosh(f*x+e))/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, b {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{3}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{3}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d}\right)} - \frac{a}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-1/2*b*(e^(-e + c*f/d)*exp_integral_e(3, (d*x + c)*f/d)/((d*x + c)^2*d) + e^(e - c*f/d)*exp_integral_e(3, -(d*x + c)*f/d)/((d*x + c)^2*d)) - 1/2*a/(d^3*x^2 + 2*c*d^2*x + c^2*d)","A",0
162,1,523,0,0.386389," ","integrate((d*x+c)^3*(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} d^{3} x^{4} + a^{2} c d^{2} x^{3} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + \frac{3}{16} \, {\left(4 \, x^{2} + \frac{{\left(2 \, f x e^{\left(2 \, e\right)} - e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{2}} - \frac{{\left(2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{2}}\right)} b^{2} c^{2} d + \frac{1}{16} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{3}} - \frac{3 \, {\left(2 \, f^{2} x^{2} + 2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{3}}\right)} b^{2} c d^{2} + \frac{1}{32} \, {\left(4 \, x^{4} + \frac{{\left(4 \, f^{3} x^{3} e^{\left(2 \, e\right)} - 6 \, f^{2} x^{2} e^{\left(2 \, e\right)} + 6 \, f x e^{\left(2 \, e\right)} - 3 \, e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{4}} - \frac{{\left(4 \, f^{3} x^{3} + 6 \, f^{2} x^{2} + 6 \, f x + 3\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{4}}\right)} b^{2} d^{3} + \frac{1}{8} \, b^{2} c^{3} {\left(4 \, x + \frac{e^{\left(2 \, f x + 2 \, e\right)}}{f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{f}\right)} + a^{2} c^{3} x + 3 \, a b c^{2} d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + 3 \, a b c d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + a b d^{3} {\left(\frac{{\left(f^{3} x^{3} e^{e} - 3 \, f^{2} x^{2} e^{e} + 6 \, f x e^{e} - 6 \, e^{e}\right)} e^{\left(f x\right)}}{f^{4}} - \frac{{\left(f^{3} x^{3} + 3 \, f^{2} x^{2} + 6 \, f x + 6\right)} e^{\left(-f x - e\right)}}{f^{4}}\right)} + \frac{2 \, a b c^{3} \sinh\left(f x + e\right)}{f}"," ",0,"1/4*a^2*d^3*x^4 + a^2*c*d^2*x^3 + 3/2*a^2*c^2*d*x^2 + 3/16*(4*x^2 + (2*f*x*e^(2*e) - e^(2*e))*e^(2*f*x)/f^2 - (2*f*x + 1)*e^(-2*f*x - 2*e)/f^2)*b^2*c^2*d + 1/16*(8*x^3 + 3*(2*f^2*x^2*e^(2*e) - 2*f*x*e^(2*e) + e^(2*e))*e^(2*f*x)/f^3 - 3*(2*f^2*x^2 + 2*f*x + 1)*e^(-2*f*x - 2*e)/f^3)*b^2*c*d^2 + 1/32*(4*x^4 + (4*f^3*x^3*e^(2*e) - 6*f^2*x^2*e^(2*e) + 6*f*x*e^(2*e) - 3*e^(2*e))*e^(2*f*x)/f^4 - (4*f^3*x^3 + 6*f^2*x^2 + 6*f*x + 3)*e^(-2*f*x - 2*e)/f^4)*b^2*d^3 + 1/8*b^2*c^3*(4*x + e^(2*f*x + 2*e)/f - e^(-2*f*x - 2*e)/f) + a^2*c^3*x + 3*a*b*c^2*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 3*a*b*c*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + a*b*d^3*((f^3*x^3*e^e - 3*f^2*x^2*e^e + 6*f*x*e^e - 6*e^e)*e^(f*x)/f^4 - (f^3*x^3 + 3*f^2*x^2 + 6*f*x + 6)*e^(-f*x - e)/f^4) + 2*a*b*c^3*sinh(f*x + e)/f","B",0
163,1,324,0,0.369375," ","integrate((d*x+c)^2*(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + a^{2} c d x^{2} + \frac{1}{8} \, {\left(4 \, x^{2} + \frac{{\left(2 \, f x e^{\left(2 \, e\right)} - e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{2}} - \frac{{\left(2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{2}}\right)} b^{2} c d + \frac{1}{48} \, {\left(8 \, x^{3} + \frac{3 \, {\left(2 \, f^{2} x^{2} e^{\left(2 \, e\right)} - 2 \, f x e^{\left(2 \, e\right)} + e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{3}} - \frac{3 \, {\left(2 \, f^{2} x^{2} + 2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{3}}\right)} b^{2} d^{2} + \frac{1}{8} \, b^{2} c^{2} {\left(4 \, x + \frac{e^{\left(2 \, f x + 2 \, e\right)}}{f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{f}\right)} + a^{2} c^{2} x + 2 \, a b c d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + a b d^{2} {\left(\frac{{\left(f^{2} x^{2} e^{e} - 2 \, f x e^{e} + 2 \, e^{e}\right)} e^{\left(f x\right)}}{f^{3}} - \frac{{\left(f^{2} x^{2} + 2 \, f x + 2\right)} e^{\left(-f x - e\right)}}{f^{3}}\right)} + \frac{2 \, a b c^{2} \sinh\left(f x + e\right)}{f}"," ",0,"1/3*a^2*d^2*x^3 + a^2*c*d*x^2 + 1/8*(4*x^2 + (2*f*x*e^(2*e) - e^(2*e))*e^(2*f*x)/f^2 - (2*f*x + 1)*e^(-2*f*x - 2*e)/f^2)*b^2*c*d + 1/48*(8*x^3 + 3*(2*f^2*x^2*e^(2*e) - 2*f*x*e^(2*e) + e^(2*e))*e^(2*f*x)/f^3 - 3*(2*f^2*x^2 + 2*f*x + 1)*e^(-2*f*x - 2*e)/f^3)*b^2*d^2 + 1/8*b^2*c^2*(4*x + e^(2*f*x + 2*e)/f - e^(-2*f*x - 2*e)/f) + a^2*c^2*x + 2*a*b*c*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + a*b*d^2*((f^2*x^2*e^e - 2*f*x*e^e + 2*e^e)*e^(f*x)/f^3 - (f^2*x^2 + 2*f*x + 2)*e^(-f*x - e)/f^3) + 2*a*b*c^2*sinh(f*x + e)/f","A",0
164,1,165,0,0.366013," ","integrate((d*x+c)*(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} d x^{2} + \frac{1}{16} \, {\left(4 \, x^{2} + \frac{{\left(2 \, f x e^{\left(2 \, e\right)} - e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)}}{f^{2}} - \frac{{\left(2 \, f x + 1\right)} e^{\left(-2 \, f x - 2 \, e\right)}}{f^{2}}\right)} b^{2} d + \frac{1}{8} \, b^{2} c {\left(4 \, x + \frac{e^{\left(2 \, f x + 2 \, e\right)}}{f} - \frac{e^{\left(-2 \, f x - 2 \, e\right)}}{f}\right)} + a^{2} c x + a b d {\left(\frac{{\left(f x e^{e} - e^{e}\right)} e^{\left(f x\right)}}{f^{2}} - \frac{{\left(f x + 1\right)} e^{\left(-f x - e\right)}}{f^{2}}\right)} + \frac{2 \, a b c \sinh\left(f x + e\right)}{f}"," ",0,"1/2*a^2*d*x^2 + 1/16*(4*x^2 + (2*f*x*e^(2*e) - e^(2*e))*e^(2*f*x)/f^2 - (2*f*x + 1)*e^(-2*f*x - 2*e)/f^2)*b^2*d + 1/8*b^2*c*(4*x + e^(2*f*x + 2*e)/f - e^(-2*f*x - 2*e)/f) + a^2*c*x + a*b*d*((f*x*e^e - e^e)*e^(f*x)/f^2 - (f*x + 1)*e^(-f*x - e)/f^2) + 2*a*b*c*sinh(f*x + e)/f","A",0
165,1,148,0,0.433948," ","integrate((a+b*cosh(f*x+e))^2/(d*x+c),x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} {\left(\frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{1}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{1}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} - \frac{2 \, \log\left(d x + c\right)}{d}\right)} - a b {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{1}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{1}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} + \frac{a^{2} \log\left(d x + c\right)}{d}"," ",0,"-1/4*b^2*(e^(-2*e + 2*c*f/d)*exp_integral_e(1, 2*(d*x + c)*f/d)/d + e^(2*e - 2*c*f/d)*exp_integral_e(1, -2*(d*x + c)*f/d)/d - 2*log(d*x + c)/d) - a*b*(e^(-e + c*f/d)*exp_integral_e(1, (d*x + c)*f/d)/d + e^(e - c*f/d)*exp_integral_e(1, -(d*x + c)*f/d)/d) + a^2*log(d*x + c)/d","A",0
166,1,181,0,0.440322," ","integrate((a+b*cosh(f*x+e))^2/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} {\left(\frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{2}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{2}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{2}{d^{2} x + c d}\right)} - a b {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{2}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{2}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)} d}\right)} - \frac{a^{2}}{d^{2} x + c d}"," ",0,"-1/4*b^2*(e^(-2*e + 2*c*f/d)*exp_integral_e(2, 2*(d*x + c)*f/d)/((d*x + c)*d) + e^(2*e - 2*c*f/d)*exp_integral_e(2, -2*(d*x + c)*f/d)/((d*x + c)*d) + 2/(d^2*x + c*d)) - a*b*(e^(-e + c*f/d)*exp_integral_e(2, (d*x + c)*f/d)/((d*x + c)*d) + e^(e - c*f/d)*exp_integral_e(2, -(d*x + c)*f/d)/((d*x + c)*d)) - a^2/(d^2*x + c*d)","A",0
167,1,201,0,0.452790," ","integrate((a+b*cosh(f*x+e))^2/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} {\left(\frac{1}{d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d} + \frac{e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{3}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d} + \frac{e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{3}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d}\right)} - a b {\left(\frac{e^{\left(-e + \frac{c f}{d}\right)} E_{3}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d} + \frac{e^{\left(e - \frac{c f}{d}\right)} E_{3}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{{\left(d x + c\right)}^{2} d}\right)} - \frac{a^{2}}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-1/4*b^2*(1/(d^3*x^2 + 2*c*d^2*x + c^2*d) + e^(-2*e + 2*c*f/d)*exp_integral_e(3, 2*(d*x + c)*f/d)/((d*x + c)^2*d) + e^(2*e - 2*c*f/d)*exp_integral_e(3, -2*(d*x + c)*f/d)/((d*x + c)^2*d)) - a*b*(e^(-e + c*f/d)*exp_integral_e(3, (d*x + c)*f/d)/((d*x + c)^2*d) + e^(e - c*f/d)*exp_integral_e(3, -(d*x + c)*f/d)/((d*x + c)^2*d)) - 1/2*a^2/(d^3*x^2 + 2*c*d^2*x + c^2*d)","A",0
168,-2,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
169,-2,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
170,-2,0,0,0.000000," ","integrate((d*x+c)/(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
171,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\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=""maxima"")","\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,-2,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
174,-2,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
175,-2,0,0,0.000000," ","integrate((d*x+c)/(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
176,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(a e^{\left(f x + e\right)} + b\right)}}{a^{2} b c f - b^{3} c f + {\left(a^{2} b d f - b^{3} d f\right)} x + {\left(a^{2} b c f e^{\left(2 \, e\right)} - b^{3} c f e^{\left(2 \, e\right)} + {\left(a^{2} b d f e^{\left(2 \, e\right)} - b^{3} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)} + 2 \, {\left(a^{3} c f e^{e} - a b^{2} c f e^{e} + {\left(a^{3} d f e^{e} - a b^{2} d f e^{e}\right)} x\right)} e^{\left(f x\right)}} + \int \frac{2 \, {\left(b d + {\left(a d f x e^{e} + {\left(c f e^{e} + d e^{e}\right)} a\right)} e^{\left(f x\right)}\right)}}{a^{2} b c^{2} f - b^{3} c^{2} f + {\left(a^{2} b d^{2} f - b^{3} d^{2} f\right)} x^{2} + 2 \, {\left(a^{2} b c d f - b^{3} c d f\right)} x + {\left(a^{2} b c^{2} f e^{\left(2 \, e\right)} - b^{3} c^{2} f e^{\left(2 \, e\right)} + {\left(a^{2} b d^{2} f e^{\left(2 \, e\right)} - b^{3} d^{2} f e^{\left(2 \, e\right)}\right)} x^{2} + 2 \, {\left(a^{2} b c d f e^{\left(2 \, e\right)} - b^{3} c d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)} + 2 \, {\left(a^{3} c^{2} f e^{e} - a b^{2} c^{2} f e^{e} + {\left(a^{3} d^{2} f e^{e} - a b^{2} d^{2} f e^{e}\right)} x^{2} + 2 \, {\left(a^{3} c d f e^{e} - a b^{2} c d f e^{e}\right)} x\right)} e^{\left(f x\right)}}\,{d x}"," ",0,"2*(a*e^(f*x + e) + b)/(a^2*b*c*f - b^3*c*f + (a^2*b*d*f - b^3*d*f)*x + (a^2*b*c*f*e^(2*e) - b^3*c*f*e^(2*e) + (a^2*b*d*f*e^(2*e) - b^3*d*f*e^(2*e))*x)*e^(2*f*x) + 2*(a^3*c*f*e^e - a*b^2*c*f*e^e + (a^3*d*f*e^e - a*b^2*d*f*e^e)*x)*e^(f*x)) + integrate(2*(b*d + (a*d*f*x*e^e + (c*f*e^e + d*e^e)*a)*e^(f*x))/(a^2*b*c^2*f - b^3*c^2*f + (a^2*b*d^2*f - b^3*d^2*f)*x^2 + 2*(a^2*b*c*d*f - b^3*c*d*f)*x + (a^2*b*c^2*f*e^(2*e) - b^3*c^2*f*e^(2*e) + (a^2*b*d^2*f*e^(2*e) - b^3*d^2*f*e^(2*e))*x^2 + 2*(a^2*b*c*d*f*e^(2*e) - b^3*c*d*f*e^(2*e))*x)*e^(2*f*x) + 2*(a^3*c^2*f*e^e - a*b^2*c^2*f*e^e + (a^3*d^2*f*e^e - a*b^2*d^2*f*e^e)*x^2 + 2*(a^3*c*d*f*e^e - a*b^2*c*d*f*e^e)*x)*e^(f*x)), x)","F",0
177,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(a e^{\left(f x + e\right)} + b\right)}}{a^{2} b c^{2} f - b^{3} c^{2} f + {\left(a^{2} b d^{2} f - b^{3} d^{2} f\right)} x^{2} + 2 \, {\left(a^{2} b c d f - b^{3} c d f\right)} x + {\left(a^{2} b c^{2} f e^{\left(2 \, e\right)} - b^{3} c^{2} f e^{\left(2 \, e\right)} + {\left(a^{2} b d^{2} f e^{\left(2 \, e\right)} - b^{3} d^{2} f e^{\left(2 \, e\right)}\right)} x^{2} + 2 \, {\left(a^{2} b c d f e^{\left(2 \, e\right)} - b^{3} c d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)} + 2 \, {\left(a^{3} c^{2} f e^{e} - a b^{2} c^{2} f e^{e} + {\left(a^{3} d^{2} f e^{e} - a b^{2} d^{2} f e^{e}\right)} x^{2} + 2 \, {\left(a^{3} c d f e^{e} - a b^{2} c d f e^{e}\right)} x\right)} e^{\left(f x\right)}} + \int \frac{2 \, {\left(2 \, b d + {\left(a d f x e^{e} + {\left(c f e^{e} + 2 \, d e^{e}\right)} a\right)} e^{\left(f x\right)}\right)}}{a^{2} b c^{3} f - b^{3} c^{3} f + {\left(a^{2} b d^{3} f - b^{3} d^{3} f\right)} x^{3} + 3 \, {\left(a^{2} b c d^{2} f - b^{3} c d^{2} f\right)} x^{2} + 3 \, {\left(a^{2} b c^{2} d f - b^{3} c^{2} d f\right)} x + {\left(a^{2} b c^{3} f e^{\left(2 \, e\right)} - b^{3} c^{3} f e^{\left(2 \, e\right)} + {\left(a^{2} b d^{3} f e^{\left(2 \, e\right)} - b^{3} d^{3} f e^{\left(2 \, e\right)}\right)} x^{3} + 3 \, {\left(a^{2} b c d^{2} f e^{\left(2 \, e\right)} - b^{3} c d^{2} f e^{\left(2 \, e\right)}\right)} x^{2} + 3 \, {\left(a^{2} b c^{2} d f e^{\left(2 \, e\right)} - b^{3} c^{2} d f e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)} + 2 \, {\left(a^{3} c^{3} f e^{e} - a b^{2} c^{3} f e^{e} + {\left(a^{3} d^{3} f e^{e} - a b^{2} d^{3} f e^{e}\right)} x^{3} + 3 \, {\left(a^{3} c d^{2} f e^{e} - a b^{2} c d^{2} f e^{e}\right)} x^{2} + 3 \, {\left(a^{3} c^{2} d f e^{e} - a b^{2} c^{2} d f e^{e}\right)} x\right)} e^{\left(f x\right)}}\,{d x}"," ",0,"2*(a*e^(f*x + e) + b)/(a^2*b*c^2*f - b^3*c^2*f + (a^2*b*d^2*f - b^3*d^2*f)*x^2 + 2*(a^2*b*c*d*f - b^3*c*d*f)*x + (a^2*b*c^2*f*e^(2*e) - b^3*c^2*f*e^(2*e) + (a^2*b*d^2*f*e^(2*e) - b^3*d^2*f*e^(2*e))*x^2 + 2*(a^2*b*c*d*f*e^(2*e) - b^3*c*d*f*e^(2*e))*x)*e^(2*f*x) + 2*(a^3*c^2*f*e^e - a*b^2*c^2*f*e^e + (a^3*d^2*f*e^e - a*b^2*d^2*f*e^e)*x^2 + 2*(a^3*c*d*f*e^e - a*b^2*c*d*f*e^e)*x)*e^(f*x)) + integrate(2*(2*b*d + (a*d*f*x*e^e + (c*f*e^e + 2*d*e^e)*a)*e^(f*x))/(a^2*b*c^3*f - b^3*c^3*f + (a^2*b*d^3*f - b^3*d^3*f)*x^3 + 3*(a^2*b*c*d^2*f - b^3*c*d^2*f)*x^2 + 3*(a^2*b*c^2*d*f - b^3*c^2*d*f)*x + (a^2*b*c^3*f*e^(2*e) - b^3*c^3*f*e^(2*e) + (a^2*b*d^3*f*e^(2*e) - b^3*d^3*f*e^(2*e))*x^3 + 3*(a^2*b*c*d^2*f*e^(2*e) - b^3*c*d^2*f*e^(2*e))*x^2 + 3*(a^2*b*c^2*d*f*e^(2*e) - b^3*c^2*d*f*e^(2*e))*x)*e^(2*f*x) + 2*(a^3*c^3*f*e^e - a*b^2*c^3*f*e^e + (a^3*d^3*f*e^e - a*b^2*d^3*f*e^e)*x^3 + 3*(a^3*c*d^2*f*e^e - a*b^2*c*d^2*f*e^e)*x^2 + 3*(a^3*c^2*d*f*e^e - a*b^2*c^2*d*f*e^e)*x)*e^(f*x)), x)","F",0
178,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e))^n,x, algorithm=""maxima"")","\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
179,1,375,0,0.510399," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e))^3,x, algorithm=""maxima"")","-\frac{3}{2} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} a^{2} b - \frac{3}{4} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{-m}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{-m}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} - \frac{2 \, {\left(d x + c\right)}^{m + 1}}{d {\left(m + 1\right)}}\right)} a b^{2} - \frac{1}{8} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-3 \, e + \frac{3 \, c f}{d}\right)} E_{-m}\left(\frac{3 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{3 \, {\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{3 \, {\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(3 \, e - \frac{3 \, c f}{d}\right)} E_{-m}\left(-\frac{3 \, {\left(d x + c\right)} f}{d}\right)}{d}\right)} b^{3} + \frac{{\left(d x + c\right)}^{m + 1} a^{3}}{d {\left(m + 1\right)}}"," ",0,"-3/2*((d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d)*a^2*b - 3/4*((d*x + c)^(m + 1)*e^(-2*e + 2*c*f/d)*exp_integral_e(-m, 2*(d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(2*e - 2*c*f/d)*exp_integral_e(-m, -2*(d*x + c)*f/d)/d - 2*(d*x + c)^(m + 1)/(d*(m + 1)))*a*b^2 - 1/8*((d*x + c)^(m + 1)*e^(-3*e + 3*c*f/d)*exp_integral_e(-m, 3*(d*x + c)*f/d)/d + 3*(d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + 3*(d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(3*e - 3*c*f/d)*exp_integral_e(-m, -3*(d*x + c)*f/d)/d)*b^3 + (d*x + c)^(m + 1)*a^3/(d*(m + 1))","A",0
180,1,208,0,0.420123," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e))^2,x, algorithm=""maxima"")","-{\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} a b - \frac{1}{4} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-2 \, e + \frac{2 \, c f}{d}\right)} E_{-m}\left(\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(2 \, e - \frac{2 \, c f}{d}\right)} E_{-m}\left(-\frac{2 \, {\left(d x + c\right)} f}{d}\right)}{d} - \frac{2 \, {\left(d x + c\right)}^{m + 1}}{d {\left(m + 1\right)}}\right)} b^{2} + \frac{{\left(d x + c\right)}^{m + 1} a^{2}}{d {\left(m + 1\right)}}"," ",0,"-((d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d)*a*b - 1/4*((d*x + c)^(m + 1)*e^(-2*e + 2*c*f/d)*exp_integral_e(-m, 2*(d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(2*e - 2*c*f/d)*exp_integral_e(-m, -2*(d*x + c)*f/d)/d - 2*(d*x + c)^(m + 1)/(d*(m + 1)))*b^2 + (d*x + c)^(m + 1)*a^2/(d*(m + 1))","A",0
181,1,100,0,0.411242," ","integrate((d*x+c)^m*(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{{\left(d x + c\right)}^{m + 1} e^{\left(-e + \frac{c f}{d}\right)} E_{-m}\left(\frac{{\left(d x + c\right)} f}{d}\right)}{d} + \frac{{\left(d x + c\right)}^{m + 1} e^{\left(e - \frac{c f}{d}\right)} E_{-m}\left(-\frac{{\left(d x + c\right)} f}{d}\right)}{d}\right)} b + \frac{{\left(d x + c\right)}^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"-1/2*((d*x + c)^(m + 1)*e^(-e + c*f/d)*exp_integral_e(-m, (d*x + c)*f/d)/d + (d*x + c)^(m + 1)*e^(e - c*f/d)*exp_integral_e(-m, -(d*x + c)*f/d)/d)*b + (d*x + c)^(m + 1)*a/(d*(m + 1))","A",0
182,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*cosh(f*x+e)),x, algorithm=""maxima"")","\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=""maxima"")","\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
