1,1,326,0,0.692823," ","integrate((d*x+c)^4*sinh(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
2,1,222,0,0.394881," ","integrate((d*x+c)^3*sinh(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
3,1,134,0,0.470325," ","integrate((d*x+c)^2*sinh(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
4,1,68,0,0.433511," ","integrate((d*x+c)*sinh(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
5,1,57,0,0.567966," ","integrate(sinh(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
6,1,80,0,0.441733," ","integrate(sinh(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{\sinh\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 - sinh(b*x + a)/((d*x + c)*d)","A",0
7,1,94,0,0.508532," ","integrate(sinh(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{\sinh\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*sinh(b*x + a)/((d*x + c)^2*d)","A",0
8,1,382,0,0.465294," ","integrate((d*x+c)^4*sinh(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
9,1,263,0,0.642367," ","integrate((d*x+c)^3*sinh(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
10,1,165,0,0.478680," ","integrate((d*x+c)^2*sinh(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
11,1,88,0,0.446849," ","integrate((d*x+c)*sinh(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
12,1,72,0,0.471765," ","integrate(sinh(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
13,1,88,0,0.531616," ","integrate(sinh(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
14,1,99,0,0.705223," ","integrate(sinh(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
15,1,110,0,0.468108," ","integrate(sinh(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
16,1,639,0,0.408175," ","integrate((d*x+c)^4*sinh(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
17,1,435,0,0.496008," ","integrate((d*x+c)^3*sinh(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
18,1,269,0,0.433137," ","integrate((d*x+c)^2*sinh(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
19,1,141,0,0.447882," ","integrate((d*x+c)*sinh(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
20,1,117,0,0.464386," ","integrate(sinh(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
21,1,145,0,0.577921," ","integrate(sinh(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
22,1,145,0,0.467423," ","integrate(sinh(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
23,1,333,0,0.635566," ","integrate((d*x+c)^3*csch(b*x+a),x, algorithm=""maxima"")","-c^{3} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b}\right)} - \frac{3 \, {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c^{2} d}{b^{2}} + \frac{3 \, {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c^{2} d}{b^{2}} - \frac{3 \, {\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} c d^{2}}{b^{3}} + \frac{3 \, {\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} c d^{2}}{b^{3}} - \frac{{\left(b^{3} x^{3} \log\left(e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(-e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}} + \frac{{\left(b^{3} x^{3} \log\left(-e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}}"," ",0,"-c^3*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b) - 3*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c^2*d/b^2 + 3*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c^2*d/b^2 - 3*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*c*d^2/b^3 + 3*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*c*d^2/b^3 - (b^3*x^3*log(e^(b*x + a) + 1) + 3*b^2*x^2*dilog(-e^(b*x + a)) - 6*b*x*polylog(3, -e^(b*x + a)) + 6*polylog(4, -e^(b*x + a)))*d^3/b^4 + (b^3*x^3*log(-e^(b*x + a) + 1) + 3*b^2*x^2*dilog(e^(b*x + a)) - 6*b*x*polylog(3, e^(b*x + a)) + 6*polylog(4, e^(b*x + a)))*d^3/b^4","B",0
24,1,195,0,0.464733," ","integrate((d*x+c)^2*csch(b*x+a),x, algorithm=""maxima"")","-c^{2} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b}\right)} - \frac{2 \, {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} + \frac{2 \, {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} - \frac{{\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} d^{2}}{b^{3}} + \frac{{\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} d^{2}}{b^{3}}"," ",0,"-c^2*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b) - 2*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c*d/b^2 + 2*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c*d/b^2 - (b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*d^2/b^3 + (b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*d^2/b^3","B",0
25,0,0,0,0.000000," ","integrate((d*x+c)*csch(b*x+a),x, algorithm=""maxima"")","-c {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b}\right)} + 2 \, d {\left(\int \frac{x}{2 \, {\left(e^{\left(b x + a\right)} + 1\right)}}\,{d x} + \int \frac{x}{2 \, {\left(e^{\left(b x + a\right)} - 1\right)}}\,{d x}\right)}"," ",0,"-c*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b) + 2*d*(integrate(1/2*x/(e^(b*x + a) + 1), x) + integrate(1/2*x/(e^(b*x + a) - 1), x))","F",0
26,0,0,0,0.000000," ","integrate(csch(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(csch(b*x + a)/(d*x + c), x)","F",0
27,0,0,0,0.000000," ","integrate(csch(b*x+a)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)/(d*x + c)^2, x)","F",0
28,1,320,0,0.797995," ","integrate((d*x+c)^3*csch(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(b x + a\right)} + 1\right)} e^{\left(-a\right)}\right)}{b^{2}} - \frac{\log\left({\left(e^{\left(b x + a\right)} - 1\right)} e^{\left(-a\right)}\right)}{b^{2}}\right)} + \frac{6 \, {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c d^{2}}{b^{3}} + \frac{6 \, {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + 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(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} d^{3}}{b^{4}} + \frac{3 \, {\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} d^{3}}{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^(b*x + a) + 1)*e^(-a))/b^2 - log((e^(b*x + a) - 1)*e^(-a))/b^2) + 6*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c*d^2/b^3 + 6*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + 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*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*d^3/b^4 + 3*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*d^3/b^4 - 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2)/b^4","B",0
29,0,0,0,0.000000," ","integrate((d*x+c)^2*csch(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}{2 \, {\left(b e^{\left(b x + a\right)} + b\right)}}\,{d x} - 2 \, \int \frac{x}{2 \, {\left(b e^{\left(b x + a\right)} - b\right)}}\,{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(b x + a\right)} + 1\right)} e^{\left(-a\right)}\right)}{b^{2}} - \frac{\log\left({\left(e^{\left(b x + a\right)} - 1\right)} e^{\left(-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(1/2*x/(b*e^(b*x + a) + b), x) - 2*integrate(1/2*x/(b*e^(b*x + a) - b), x)) - 2*c*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) - b) - log((e^(b*x + a) + 1)*e^(-a))/b^2 - log((e^(b*x + a) - 1)*e^(-a))/b^2) + 2*c^2/(b*(e^(-2*b*x - 2*a) - 1))","F",0
30,1,91,0,0.424033," ","integrate((d*x+c)*csch(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(b x + a\right)} + 1\right)} e^{\left(-a\right)}\right)}{b^{2}} - \frac{\log\left({\left(e^{\left(b x + a\right)} - 1\right)} e^{\left(-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^(b*x + a) + 1)*e^(-a))/b^2 - log((e^(b*x + a) - 1)*e^(-a))/b^2) + 2*c/(b*(e^(-2*b*x - 2*a) - 1))","B",0
31,0,0,0,0.000000," ","integrate(csch(b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","4 \, d \int \frac{1}{4 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + {\left(b d^{2} x^{2} e^{a} + 2 \, b c d x e^{a} + b c^{2} e^{a}\right)} e^{\left(b x\right)}\right)}}\,{d x} - 4 \, d \int -\frac{1}{4 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} - {\left(b d^{2} x^{2} e^{a} + 2 \, b c d x e^{a} + b c^{2} e^{a}\right)} e^{\left(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(1/4/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + (b*d^2*x^2*e^a + 2*b*c*d*x*e^a + b*c^2*e^a)*e^(b*x)), x) - 4*d*integrate(-1/4/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 - (b*d^2*x^2*e^a + 2*b*c*d*x*e^a + b*c^2*e^a)*e^(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
32,0,0,0,0.000000," ","integrate(csch(b*x+a)^2/(d*x+c)^2,x, algorithm=""maxima"")","4 \, d \int \frac{1}{2 \, {\left(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^{a} + 3 \, b c d^{2} x^{2} e^{a} + 3 \, b c^{2} d x e^{a} + b c^{3} e^{a}\right)} e^{\left(b x\right)}\right)}}\,{d x} - 4 \, d \int -\frac{1}{2 \, {\left(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^{a} + 3 \, b c d^{2} x^{2} e^{a} + 3 \, b c^{2} d x e^{a} + b c^{3} e^{a}\right)} e^{\left(b x\right)}\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(1/2/(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^a + 3*b*c*d^2*x^2*e^a + 3*b*c^2*d*x*e^a + b*c^3*e^a)*e^(b*x)), x) - 4*d*integrate(-1/2/(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^a + 3*b*c*d^2*x^2*e^a + 3*b*c^2*d*x*e^a + b*c^3*e^a)*e^(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
33,1,605,0,0.599917," ","integrate((d*x+c)^3*csch(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{3} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b} + \frac{2 \, {\left(e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} - 1\right)}}\right)} + \frac{3 \, {\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} c d^{2}}{2 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} c d^{2}}{2 \, b^{3}} - \frac{3 \, c d^{2} \log\left(e^{\left(b x + a\right)} + 1\right)}{b^{3}} + \frac{3 \, c d^{2} \log\left(e^{\left(b x + a\right)} - 1\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}} + \frac{{\left(b^{3} x^{3} \log\left(e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(-e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(b x + a\right)})\right)} d^{3}}{2 \, b^{4}} - \frac{{\left(b^{3} x^{3} \log\left(-e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(e^{\left(b x + a\right)})\right)} d^{3}}{2 \, b^{4}} + \frac{3 \, {\left(b^{2} c^{2} d - 2 \, d^{3}\right)} {\left(b x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)}}{2 \, b^{4}} - \frac{3 \, {\left(b^{2} c^{2} d - 2 \, d^{3}\right)} {\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)}}{2 \, b^{4}}"," ",0,"1/2*c^3*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b + 2*(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))) + 3/2*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*c*d^2/b^3 - 3/2*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*c*d^2/b^3 - 3*c*d^2*log(e^(b*x + a) + 1)/b^3 + 3*c*d^2*log(e^(b*x + a) - 1)/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) + 1/2*(b^3*x^3*log(e^(b*x + a) + 1) + 3*b^2*x^2*dilog(-e^(b*x + a)) - 6*b*x*polylog(3, -e^(b*x + a)) + 6*polylog(4, -e^(b*x + a)))*d^3/b^4 - 1/2*(b^3*x^3*log(-e^(b*x + a) + 1) + 3*b^2*x^2*dilog(e^(b*x + a)) - 6*b*x*polylog(3, e^(b*x + a)) + 6*polylog(4, e^(b*x + a)))*d^3/b^4 + 3/2*(b^2*c^2*d - 2*d^3)*(b*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))/b^4 - 3/2*(b^2*c^2*d - 2*d^3)*(b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))/b^4","B",0
34,1,393,0,1.040875," ","integrate((d*x+c)^2*csch(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{2} {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b} + \frac{2 \, {\left(e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}\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 x \log\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} - \frac{{\left(b x \log\left(-e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(e^{\left(b x + a\right)}\right)\right)} c d}{b^{2}} - \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{{\left(b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})\right)} d^{2}}{2 \, b^{3}} - \frac{{\left(b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})\right)} d^{2}}{2 \, b^{3}} - \frac{d^{2} \log\left(e^{\left(b x + a\right)} + 1\right)}{b^{3}} + \frac{d^{2} \log\left(e^{\left(b x + a\right)} - 1\right)}{b^{3}}"," ",0,"1/2*c^2*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b + 2*(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*x*log(e^(b*x + a) + 1) + dilog(-e^(b*x + a)))*c*d/b^2 - (b*x*log(-e^(b*x + a) + 1) + dilog(e^(b*x + a)))*c*d/b^2 - ((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) + 1/2*(b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))*d^2/b^3 - 1/2*(b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))*d^2/b^3 - d^2*log(e^(b*x + a) + 1)/b^3 + d^2*log(e^(b*x + a) - 1)/b^3","B",0
35,0,0,0,0.000000," ","integrate((d*x+c)*csch(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}{16 \, {\left(e^{\left(b x + a\right)} + 1\right)}}\,{d x} + 8 \, \int \frac{x}{16 \, {\left(e^{\left(b x + a\right)} - 1\right)}}\,{d x}\right)} + \frac{1}{2} \, c {\left(\frac{\log\left(e^{\left(-b x - a\right)} + 1\right)}{b} - \frac{\log\left(e^{\left(-b x - a\right)} - 1\right)}{b} + \frac{2 \, {\left(e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}\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(1/16*x/(e^(b*x + a) + 1), x) + 8*integrate(1/16*x/(e^(b*x + a) - 1), x)) + 1/2*c*(log(e^(-b*x - a) + 1)/b - log(e^(-b*x - a) - 1)/b + 2*(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
36,0,0,0,0.000000," ","integrate(csch(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{b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}}{16 \, {\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^{a} + 3 \, b^{2} c d^{2} x^{2} e^{a} + 3 \, b^{2} c^{2} d x e^{a} + b^{2} c^{3} e^{a}\right)} e^{\left(b x\right)}\right)}}\,{d x} - 8 \, \int -\frac{b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}}{16 \, {\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^{a} + 3 \, b^{2} c d^{2} x^{2} e^{a} + 3 \, b^{2} c^{2} d x e^{a} + b^{2} c^{3} e^{a}\right)} e^{\left(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(1/16*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)/(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^a + 3*b^2*c*d^2*x^2*e^a + 3*b^2*c^2*d*x*e^a + b^2*c^3*e^a)*e^(b*x)), x) - 8*integrate(-1/16*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)/(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^a + 3*b^2*c*d^2*x^2*e^a + 3*b^2*c^2*d*x*e^a + b^2*c^3*e^a)*e^(b*x)), x)","F",0
37,0,0,0,0.000000," ","integrate(csch(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{b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 6 \, d^{2}}{16 \, {\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^{a} + 4 \, b^{2} c d^{3} x^{3} e^{a} + 6 \, b^{2} c^{2} d^{2} x^{2} e^{a} + 4 \, b^{2} c^{3} d x e^{a} + b^{2} c^{4} e^{a}\right)} e^{\left(b x\right)}\right)}}\,{d x} - 8 \, \int -\frac{b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 6 \, d^{2}}{16 \, {\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^{a} + 4 \, b^{2} c d^{3} x^{3} e^{a} + 6 \, b^{2} c^{2} d^{2} x^{2} e^{a} + 4 \, b^{2} c^{3} d x e^{a} + b^{2} c^{4} e^{a}\right)} e^{\left(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(1/16*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 6*d^2)/(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^a + 4*b^2*c*d^3*x^3*e^a + 6*b^2*c^2*d^2*x^2*e^a + 4*b^2*c^3*d*x*e^a + b^2*c^4*e^a)*e^(b*x)), x) - 8*integrate(-1/16*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 6*d^2)/(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^a + 4*b^2*c*d^3*x^3*e^a + 6*b^2*c^2*d^2*x^2*e^a + 4*b^2*c^3*d*x*e^a + b^2*c^4*e^a)*e^(b*x)), x)","F",0
38,1,308,0,0.474459," ","integrate((d*x+c)^(5/2)*sinh(b*x+a),x, algorithm=""maxima"")","\frac{32 \, {\left(d x + c\right)}^{\frac{7}{2}} \sinh\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)*sinh(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
39,1,268,0,0.346105," ","integrate((d*x+c)^(3/2)*sinh(b*x+a),x, algorithm=""maxima"")","\frac{16 \, {\left(d x + c\right)}^{\frac{5}{2}} \sinh\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)*sinh(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
40,1,230,0,0.321922," ","integrate(sinh(b*x+a)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{8 \, {\left(d x + c\right)}^{\frac{3}{2}} \sinh\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)*sinh(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
41,1,181,0,0.441128," ","integrate(sinh(b*x+a)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{d x + c} \sinh\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)*sinh(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
42,1,103,0,0.617798," ","integrate(sinh(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 \, \sinh\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*sinh(b*x + a)/sqrt(d*x + c))/d","A",0
43,1,114,0,0.843773," ","integrate(sinh(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 \, \sinh\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*sinh(b*x + a)/(d*x + c)^(3/2))/d","A",0
44,1,114,0,0.783755," ","integrate(sinh(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 \, \sinh\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*sinh(b*x + a)/(d*x + c)^(5/2))/d","A",0
45,1,281,0,0.699598," ","integrate((d*x+c)^(5/2)*sinh(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
46,1,239,0,0.407929," ","integrate((d*x+c)^(3/2)*sinh(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
47,1,189,0,0.411977," ","integrate(sinh(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
48,1,107,0,0.496938," ","integrate(sinh(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
49,1,116,0,0.699497," ","integrate(sinh(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
50,1,118,0,0.465220," ","integrate(sinh(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
51,1,118,0,0.852026," ","integrate(sinh(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
52,1,118,0,0.519289," ","integrate(sinh(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
53,1,513,0,0.702332," ","integrate((d*x+c)^(5/2)*sinh(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
54,1,430,0,0.463109," ","integrate((d*x+c)^(3/2)*sinh(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
55,1,333,0,0.542617," ","integrate(sinh(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
56,1,178,0,0.453049," ","integrate(sinh(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
57,1,197,0,0.584906," ","integrate(sinh(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
58,1,196,0,0.632448," ","integrate(sinh(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
59,1,197,0,0.534907," ","integrate(sinh(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
60,1,175,0,0.337120," ","integrate((d*x)^(3/2)*sinh(f*x),x, algorithm=""maxima"")","\frac{16 \, \left(d x\right)^{\frac{5}{2}} \sinh\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)*sinh(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
61,1,149,0,0.619895," ","integrate(sinh(f*x)*(d*x)^(1/2),x, algorithm=""maxima"")","\frac{8 \, \left(d x\right)^{\frac{3}{2}} \sinh\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)*sinh(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
62,1,116,0,0.327871," ","integrate(sinh(f*x)/(d*x)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{d x} \sinh\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)*sinh(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
63,1,74,0,0.642706," ","integrate(sinh(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 \, \sinh\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*sinh(f*x)/sqrt(d*x))/d","A",0
64,1,57,0,0.582386," ","integrate(sinh(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 \, \sinh\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*sinh(f*x)/(d*x)^(3/2))/d","A",0
65,0,0,0,0.000000," ","integrate(csch(b*x+a)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\int \sqrt{d x + c} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(sqrt(d*x + c)*csch(b*x + a), x)","F",0
66,0,0,0,0.000000," ","integrate(csch(b*x+a)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(b x + a\right)}{\sqrt{d x + c}}\,{d x}"," ",0,"integrate(csch(b*x + a)/sqrt(d*x + c), x)","F",0
67,0,0,0,0.000000," ","integrate(sinh(x)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sinh\left(x\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(sinh(x)^(3/2)/x^3, x)","F",0
68,0,0,0,0.000000," ","integrate(x/sinh(x)^(3/2)-x*sinh(x)^(1/2),x, algorithm=""maxima"")","\int -x \sqrt{\sinh\left(x\right)} + \frac{x}{\sinh\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-x*sqrt(sinh(x)) + x/sinh(x)^(3/2), x)","F",0
69,0,0,0,0.000000," ","integrate(x/sinh(x)^(5/2)+1/3*x/sinh(x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{3 \, \sqrt{\sinh\left(x\right)}} + \frac{x}{\sinh\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/3*x/sqrt(sinh(x)) + x/sinh(x)^(5/2), x)","F",0
70,0,0,0,0.000000," ","integrate(x/sinh(x)^(7/2)+3/5*x*sinh(x)^(1/2),x, algorithm=""maxima"")","\int \frac{3}{5} \, x \sqrt{\sinh\left(x\right)} + \frac{x}{\sinh\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(3/5*x*sqrt(sinh(x)) + x/sinh(x)^(7/2), x)","F",0
71,0,0,0,0.000000," ","integrate(x^2/sinh(x)^(3/2)-x^2*sinh(x)^(1/2),x, algorithm=""maxima"")","\int -x^{2} \sqrt{\sinh\left(x\right)} + \frac{x^{2}}{\sinh\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-x^2*sqrt(sinh(x)) + x^2/sinh(x)^(3/2), x)","F",0
72,0,0,0,0.000000," ","integrate((d*x+c)^m*(b*sinh(f*x+e))^n,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} \left(b \sinh\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(b*sinh(f*x + e))^n, x)","F",0
73,1,161,0,0.475779," ","integrate((d*x+c)^m*sinh(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
74,1,102,0,0.394993," ","integrate((d*x+c)^m*sinh(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
75,1,79,0,0.420259," ","integrate((d*x+c)^m*sinh(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
76,0,0,0,0.000000," ","integrate((d*x+c)^m*csch(b*x+a),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*csch(b*x + a), x)","F",0
77,0,0,0,0.000000," ","integrate((d*x+c)^m*csch(b*x+a)^2,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*csch(b*x + a)^2, x)","F",0
78,1,55,0,0.389634," ","integrate(x^(3+m)*sinh(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
79,1,55,0,0.724030," ","integrate(x^(2+m)*sinh(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
80,1,55,0,0.476857," ","integrate(x^(1+m)*sinh(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
81,1,55,0,0.768816," ","integrate(x^m*sinh(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
82,1,43,0,0.505759," ","integrate(x^(-1+m)*sinh(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
83,1,55,0,0.468629," ","integrate(x^(-2+m)*sinh(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
84,1,55,0,0.845057," ","integrate(x^(-3+m)*sinh(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
85,1,71,0,0.735457," ","integrate(x^(3+m)*sinh(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
86,1,71,0,0.442034," ","integrate(x^(2+m)*sinh(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
87,1,71,0,0.701854," ","integrate(x^(1+m)*sinh(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
88,1,71,0,0.834444," ","integrate(x^m*sinh(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
89,1,55,0,0.791554," ","integrate(x^(-1+m)*sinh(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
90,-2,0,0,0.000000," ","integrate(x^(-2+m)*sinh(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
91,-2,0,0,0.000000," ","integrate(x^(-3+m)*sinh(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
92,0,0,0,0.000000," ","integrate(x/csch(x)^(3/2)+1/3*x*csch(x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{3} \, x \sqrt{\operatorname{csch}\left(x\right)} + \frac{x}{\operatorname{csch}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/3*x*sqrt(csch(x)) + x/csch(x)^(3/2), x)","F",0
93,0,0,0,0.000000," ","integrate(x/csch(x)^(5/2)+3/5*x/csch(x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x}{5 \, \sqrt{\operatorname{csch}\left(x\right)}} + \frac{x}{\operatorname{csch}\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(3/5*x/sqrt(csch(x)) + x/csch(x)^(5/2), x)","F",0
94,0,0,0,0.000000," ","integrate(x/csch(x)^(7/2)-5/21*x*csch(x)^(1/2),x, algorithm=""maxima"")","\int -\frac{5}{21} \, x \sqrt{\operatorname{csch}\left(x\right)} + \frac{x}{\operatorname{csch}\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(-5/21*x*sqrt(csch(x)) + x/csch(x)^(7/2), x)","F",0
95,0,0,0,0.000000," ","integrate(x^2/csch(x)^(3/2)+1/3*x^2*csch(x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{3} \, x^{2} \sqrt{\operatorname{csch}\left(x\right)} + \frac{x^{2}}{\operatorname{csch}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/3*x^2*sqrt(csch(x)) + x^2/csch(x)^(3/2), x)","F",0
96,1,235,0,0.367861," ","integrate((d*x+c)^3*(a+I*a*sinh(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} i \, 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} i \, 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} i \, 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{i \, a c^{3} \cosh\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*I*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*I*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*I*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) + I*a*c^3*cosh(f*x + e)/f","B",0
97,1,141,0,0.492879," ","integrate((d*x+c)^2*(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x + i \, 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} i \, 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{i \, a c^{2} \cosh\left(f x + e\right)}{f}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x + I*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*I*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) + I*a*c^2*cosh(f*x + e)/f","B",0
98,1,66,0,0.510036," ","integrate((d*x+c)*(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{1}{2} i \, 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{i \, a c \cosh\left(f x + e\right)}{f}"," ",0,"1/2*a*d*x^2 + a*c*x + 1/2*I*a*d*((f*x*e^e - e^e)*e^(f*x)/f^2 + (f*x + 1)*e^(-f*x - e)/f^2) + I*a*c*cosh(f*x + e)/f","A",0
99,1,71,0,0.385143," ","integrate((a+I*a*sinh(f*x+e))/(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} i \, 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*I*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
100,1,88,0,0.402663," ","integrate((a+I*a*sinh(f*x+e))/(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{2} i \, 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*I*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
101,1,99,0,0.420193," ","integrate((a+I*a*sinh(f*x+e))/(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{2} i \, 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*I*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
102,1,525,0,0.397409," ","integrate((d*x+c)^3*(a+I*a*sinh(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 i \, 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 i \, 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)} + i \, 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 i \, a^{2} c^{3} \cosh\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*I*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*I*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) + I*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*I*a^2*c^3*cosh(f*x + e)/f","B",0
103,1,326,0,0.403260," ","integrate((d*x+c)^2*(a+I*a*sinh(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 i \, 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)} + i \, 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 i \, a^{2} c^{2} \cosh\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*I*a^2*c*d*((f*x*e^e - e^e)*e^(f*x)/f^2 + (f*x + 1)*e^(-f*x - e)/f^2) + I*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*I*a^2*c^2*cosh(f*x + e)/f","B",0
104,1,167,0,0.389644," ","integrate((d*x+c)*(a+I*a*sinh(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 + i \, 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 i \, a^{2} c \cosh\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 + I*a^2*d*((f*x*e^e - e^e)*e^(f*x)/f^2 + (f*x + 1)*e^(-f*x - e)/f^2) + 2*I*a^2*c*cosh(f*x + e)/f","A",0
105,1,150,0,0.484916," ","integrate((a+I*a*sinh(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)} + i \, 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) + I*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
106,1,183,0,0.460083," ","integrate((a+I*a*sinh(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)} + i \, 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)) + I*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
107,1,205,0,0.456009," ","integrate((a+I*a*sinh(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)} + i \, 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)) + I*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
108,1,237,0,0.571211," ","integrate((d*x+c)^3/(a+I*a*sinh(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)} - i \, a f} - \frac{\log\left({\left(e^{\left(f x + e\right)} - i\right)} e^{\left(-e\right)}\right)}{a f^{2}}\right)} - \frac{2 \, c^{3}}{{\left(i \, a e^{\left(-f x - e\right)} - a\right)} f} + \frac{2 i \, d^{3} x^{3} + 6 i \, c d^{2} x^{2}}{a f e^{\left(f x + e\right)} - i \, a f} - \frac{12 \, {\left(f x \log\left(i \, e^{\left(f x + e\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(f x + e\right)}\right)\right)} c d^{2}}{a f^{3}} - \frac{6 \, {\left(f^{2} x^{2} \log\left(i \, e^{\left(f x + e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-i \, e^{\left(f x + e\right)}\right) - 2 \, {\rm Li}_{3}(-i \, 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) - I*a*f) - log((e^(f*x + e) - I)*e^(-e))/(a*f^2)) - 2*c^3/((I*a*e^(-f*x - e) - a)*f) + (2*I*d^3*x^3 + 6*I*c*d^2*x^2)/(a*f*e^(f*x + e) - I*a*f) - 12*(f*x*log(I*e^(f*x + e) + 1) + dilog(-I*e^(f*x + e)))*c*d^2/(a*f^3) - 6*(f^2*x^2*log(I*e^(f*x + e) + 1) + 2*f*x*dilog(-I*e^(f*x + e)) - 2*polylog(3, -I*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
109,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","d^{2} {\left(\frac{2 i \, x^{2}}{a f e^{\left(f x + e\right)} - i \, a f} - 4 i \, \int \frac{x}{a f e^{\left(f x + e\right)} - i \, 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)} - i \, a f} - \frac{\log\left({\left(e^{\left(f x + e\right)} - i\right)} e^{\left(-e\right)}\right)}{a f^{2}}\right)} - \frac{2 \, c^{2}}{{\left(i \, a e^{\left(-f x - e\right)} - a\right)} f}"," ",0,"d^2*(2*I*x^2/(a*f*e^(f*x + e) - I*a*f) - 4*I*integrate(x/(a*f*e^(f*x + e) - I*a*f), x)) + 4*c*d*(x*e^(f*x + e)/(a*f*e^(f*x + e) - I*a*f) - log((e^(f*x + e) - I)*e^(-e))/(a*f^2)) - 2*c^2/((I*a*e^(-f*x - e) - a)*f)","F",0
110,1,75,0,0.379913," ","integrate((d*x+c)/(a+I*a*sinh(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)} - i \, a f} - \frac{\log\left({\left(e^{\left(f x + e\right)} - i\right)} e^{\left(-e\right)}\right)}{a f^{2}}\right)} - \frac{2 \, c}{{\left(i \, a e^{\left(-f x - e\right)} - a\right)} f}"," ",0,"2*d*(x*e^(f*x + e)/(a*f*e^(f*x + e) - I*a*f) - log((e^(f*x + e) - I)*e^(-e))/(a*f^2)) - 2*c/((I*a*e^(-f*x - e) - a)*f)","A",0
111,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","2 i \, d \int \frac{1}{-i \, a d^{2} f x^{2} - 2 i \, a c d f x - i \, 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 i}{-i \, a d f x - i \, a c f + {\left(a d f x e^{e} + a c f e^{e}\right)} e^{\left(f x\right)}}"," ",0,"2*I*d*integrate(1/(-I*a*d^2*f*x^2 - 2*I*a*c*d*f*x - I*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*I/(-I*a*d*f*x - I*a*c*f + (a*d*f*x*e^e + a*c*f*e^e)*e^(f*x))","F",0
112,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","4 i \, d \int \frac{1}{-i \, a d^{3} f x^{3} - 3 i \, a c d^{2} f x^{2} - 3 i \, a c^{2} d f x - i \, 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 i}{-i \, a d^{2} f x^{2} - 2 i \, a c d f x - i \, 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*I*d*integrate(1/(-I*a*d^3*f*x^3 - 3*I*a*c*d^2*f*x^2 - 3*I*a*c^2*d*f*x - I*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*I/(-I*a*d^2*f*x^2 - 2*I*a*c*d*f*x - I*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
113,1,635,0,0.694857," ","integrate((d*x+c)^3/(a+I*a*sinh(f*x+e))^2,x, algorithm=""maxima"")","c^{2} d {\left(\frac{3 \, {\left(2 \, f x e^{\left(3 \, f x + 3 \, e\right)} + {\left(-6 i \, f x e^{\left(2 \, e\right)} - 2 i \, e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 2 \, e^{\left(f x + e\right)}\right)}}{3 \, a^{2} f^{2} e^{\left(3 \, f x + 3 \, e\right)} - 9 i \, a^{2} f^{2} e^{\left(2 \, f x + 2 \, e\right)} - 9 \, a^{2} f^{2} e^{\left(f x + e\right)} + 3 i \, a^{2} f^{2}} - \frac{2 \, \log\left(-i \, {\left(i \, e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a^{2} f^{2}}\right)} + 2 \, c^{3} {\left(\frac{3 \, e^{\left(-f x - e\right)}}{{\left(9 \, a^{2} e^{\left(-f x - e\right)} - 9 i \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + 3 i \, a^{2}\right)} f} + \frac{i}{{\left(9 \, a^{2} e^{\left(-f x - e\right)} - 9 i \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + 3 i \, a^{2}\right)} f}\right)} + \frac{-2 i \, d^{3} f^{2} x^{3} - 6 i \, c d^{2} f^{2} x^{2} + 12 i \, d^{3} x + 12 i \, c d^{2} - {\left(6 i \, d^{3} f x^{2} e^{\left(2 \, e\right)} + 12 i \, c d^{2} e^{\left(2 \, e\right)} + {\left(12 i \, c d^{2} f e^{\left(2 \, e\right)} + 12 i \, d^{3} e^{\left(2 \, e\right)}\right)} x\right)} e^{\left(2 \, f x\right)} + 6 \, {\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)}}{3 \, a^{2} f^{3} e^{\left(3 \, f x + 3 \, e\right)} - 9 i \, a^{2} f^{3} e^{\left(2 \, f x + 2 \, e\right)} - 9 \, a^{2} f^{3} e^{\left(f x + e\right)} + 3 i \, a^{2} f^{3}} - \frac{4 \, {\left(f x \log\left(i \, e^{\left(f x + e\right)} + 1\right) + {\rm Li}_2\left(-i \, 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(i \, e^{\left(f x + e\right)} + 1\right) + 2 \, f x {\rm Li}_2\left(-i \, e^{\left(f x + e\right)}\right) - 2 \, {\rm Li}_{3}(-i \, 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)} - i\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,"c^2*d*(3*(2*f*x*e^(3*f*x + 3*e) + (-6*I*f*x*e^(2*e) - 2*I*e^(2*e))*e^(2*f*x) - 2*e^(f*x + e))/(3*a^2*f^2*e^(3*f*x + 3*e) - 9*I*a^2*f^2*e^(2*f*x + 2*e) - 9*a^2*f^2*e^(f*x + e) + 3*I*a^2*f^2) - 2*log(-I*(I*e^(f*x + e) + 1)*e^(-e))/(a^2*f^2)) + 2*c^3*(3*e^(-f*x - e)/((9*a^2*e^(-f*x - e) - 9*I*a^2*e^(-2*f*x - 2*e) - 3*a^2*e^(-3*f*x - 3*e) + 3*I*a^2)*f) + I/((9*a^2*e^(-f*x - e) - 9*I*a^2*e^(-2*f*x - 2*e) - 3*a^2*e^(-3*f*x - 3*e) + 3*I*a^2)*f)) + (-2*I*d^3*f^2*x^3 - 6*I*c*d^2*f^2*x^2 + 12*I*d^3*x + 12*I*c*d^2 - (6*I*d^3*f*x^2*e^(2*e) + 12*I*c*d^2*e^(2*e) + (12*I*c*d^2*f*e^(2*e) + 12*I*d^3*e^(2*e))*x)*e^(2*f*x) + 6*(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))/(3*a^2*f^3*e^(3*f*x + 3*e) - 9*I*a^2*f^3*e^(2*f*x + 2*e) - 9*a^2*f^3*e^(f*x + e) + 3*I*a^2*f^3) - 4*(f*x*log(I*e^(f*x + e) + 1) + dilog(-I*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(I*e^(f*x + e) + 1) + 2*f*x*dilog(-I*e^(f*x + e)) - 2*polylog(3, -I*e^(f*x + e)))*d^3/(a^2*f^4) + 4*d^3*log(e^(f*x + e) - I)/(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
114,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+I*a*sinh(f*x+e))^2,x, algorithm=""maxima"")","d^{2} {\left(\frac{-2 i \, f^{2} x^{2} - {\left(4 i \, f x e^{\left(2 \, e\right)} + 4 i \, e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + 2 \, {\left(3 \, f^{2} x^{2} e^{e} - 2 \, f x e^{e} - 4 \, e^{e}\right)} e^{\left(f x\right)} + 4 i}{3 \, a^{2} f^{3} e^{\left(3 \, f x + 3 \, e\right)} - 9 i \, a^{2} f^{3} e^{\left(2 \, f x + 2 \, e\right)} - 9 \, a^{2} f^{3} e^{\left(f x + e\right)} + 3 i \, a^{2} f^{3}} - 4 i \, \int \frac{x}{3 \, a^{2} f e^{\left(f x + e\right)} - 3 i \, a^{2} f}\,{d x}\right)} + \frac{2}{3} \, c d {\left(\frac{3 \, {\left(2 \, f x e^{\left(3 \, f x + 3 \, e\right)} + {\left(-6 i \, f x e^{\left(2 \, e\right)} - 2 i \, e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 2 \, e^{\left(f x + e\right)}\right)}}{3 \, a^{2} f^{2} e^{\left(3 \, f x + 3 \, e\right)} - 9 i \, a^{2} f^{2} e^{\left(2 \, f x + 2 \, e\right)} - 9 \, a^{2} f^{2} e^{\left(f x + e\right)} + 3 i \, a^{2} f^{2}} - \frac{2 \, \log\left(-i \, {\left(i \, e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a^{2} f^{2}}\right)} + 2 \, c^{2} {\left(\frac{3 \, e^{\left(-f x - e\right)}}{{\left(9 \, a^{2} e^{\left(-f x - e\right)} - 9 i \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + 3 i \, a^{2}\right)} f} + \frac{i}{{\left(9 \, a^{2} e^{\left(-f x - e\right)} - 9 i \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + 3 i \, a^{2}\right)} f}\right)}"," ",0,"d^2*((-2*I*f^2*x^2 - (4*I*f*x*e^(2*e) + 4*I*e^(2*e))*e^(2*f*x) + 2*(3*f^2*x^2*e^e - 2*f*x*e^e - 4*e^e)*e^(f*x) + 4*I)/(3*a^2*f^3*e^(3*f*x + 3*e) - 9*I*a^2*f^3*e^(2*f*x + 2*e) - 9*a^2*f^3*e^(f*x + e) + 3*I*a^2*f^3) - 4*I*integrate(x/(3*a^2*f*e^(f*x + e) - 3*I*a^2*f), x)) + 2/3*c*d*(3*(2*f*x*e^(3*f*x + 3*e) + (-6*I*f*x*e^(2*e) - 2*I*e^(2*e))*e^(2*f*x) - 2*e^(f*x + e))/(3*a^2*f^2*e^(3*f*x + 3*e) - 9*I*a^2*f^2*e^(2*f*x + 2*e) - 9*a^2*f^2*e^(f*x + e) + 3*I*a^2*f^2) - 2*log(-I*(I*e^(f*x + e) + 1)*e^(-e))/(a^2*f^2)) + 2*c^2*(3*e^(-f*x - e)/((9*a^2*e^(-f*x - e) - 9*I*a^2*e^(-2*f*x - 2*e) - 3*a^2*e^(-3*f*x - 3*e) + 3*I*a^2)*f) + I/((9*a^2*e^(-f*x - e) - 9*I*a^2*e^(-2*f*x - 2*e) - 3*a^2*e^(-3*f*x - 3*e) + 3*I*a^2)*f))","F",0
115,1,257,0,0.352624," ","integrate((d*x+c)/(a+I*a*sinh(f*x+e))^2,x, algorithm=""maxima"")","\frac{1}{3} \, d {\left(\frac{3 \, {\left(2 \, f x e^{\left(3 \, f x + 3 \, e\right)} + {\left(-6 i \, f x e^{\left(2 \, e\right)} - 2 i \, e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 2 \, e^{\left(f x + e\right)}\right)}}{3 \, a^{2} f^{2} e^{\left(3 \, f x + 3 \, e\right)} - 9 i \, a^{2} f^{2} e^{\left(2 \, f x + 2 \, e\right)} - 9 \, a^{2} f^{2} e^{\left(f x + e\right)} + 3 i \, a^{2} f^{2}} - \frac{2 \, \log\left(-i \, {\left(i \, e^{\left(f x + e\right)} + 1\right)} e^{\left(-e\right)}\right)}{a^{2} f^{2}}\right)} + 2 \, c {\left(\frac{3 \, e^{\left(-f x - e\right)}}{{\left(9 \, a^{2} e^{\left(-f x - e\right)} - 9 i \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + 3 i \, a^{2}\right)} f} + \frac{i}{{\left(9 \, a^{2} e^{\left(-f x - e\right)} - 9 i \, a^{2} e^{\left(-2 \, f x - 2 \, e\right)} - 3 \, a^{2} e^{\left(-3 \, f x - 3 \, e\right)} + 3 i \, a^{2}\right)} f}\right)}"," ",0,"1/3*d*(3*(2*f*x*e^(3*f*x + 3*e) + (-6*I*f*x*e^(2*e) - 2*I*e^(2*e))*e^(2*f*x) - 2*e^(f*x + e))/(3*a^2*f^2*e^(3*f*x + 3*e) - 9*I*a^2*f^2*e^(2*f*x + 2*e) - 9*a^2*f^2*e^(f*x + e) + 3*I*a^2*f^2) - 2*log(-I*(I*e^(f*x + e) + 1)*e^(-e))/(a^2*f^2)) + 2*c*(3*e^(-f*x - e)/((9*a^2*e^(-f*x - e) - 9*I*a^2*e^(-2*f*x - 2*e) - 3*a^2*e^(-3*f*x - 3*e) + 3*I*a^2)*f) + I/((9*a^2*e^(-f*x - e) - 9*I*a^2*e^(-2*f*x - 2*e) - 3*a^2*e^(-3*f*x - 3*e) + 3*I*a^2)*f))","B",0
116,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+I*a*sinh(f*x+e))^2,x, algorithm=""maxima"")","\frac{-2 i \, d^{2} f^{2} x^{2} - 4 i \, c d f^{2} x - 2 i \, c^{2} f^{2} + 4 i \, d^{2} + {\left(2 i \, d^{2} f x e^{\left(2 \, e\right)} + 2 i \, c d f e^{\left(2 \, e\right)} - 4 i \, d^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + 2 \, {\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)}}{3 i \, a^{2} d^{3} f^{3} x^{3} + 9 i \, a^{2} c d^{2} f^{3} x^{2} + 9 i \, a^{2} c^{2} d f^{3} x + 3 i \, a^{2} c^{3} f^{3} + 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)} + {\left(-9 i \, a^{2} d^{3} f^{3} x^{3} e^{\left(2 \, e\right)} - 27 i \, a^{2} c d^{2} f^{3} x^{2} e^{\left(2 \, e\right)} - 27 i \, a^{2} c^{2} d f^{3} x e^{\left(2 \, e\right)} - 9 i \, a^{2} c^{3} f^{3} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 9 \, {\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)}} - \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 \, a^{2} d^{4} f^{3} x^{4} + 12 \, a^{2} c d^{3} f^{3} x^{3} + 18 \, a^{2} c^{2} d^{2} f^{3} x^{2} + 12 \, a^{2} c^{3} d f^{3} x + 3 \, a^{2} c^{4} f^{3} + {\left(3 i \, a^{2} d^{4} f^{3} x^{4} e^{e} + 12 i \, a^{2} c d^{3} f^{3} x^{3} e^{e} + 18 i \, a^{2} c^{2} d^{2} f^{3} x^{2} e^{e} + 12 i \, a^{2} c^{3} d f^{3} x e^{e} + 3 i \, a^{2} c^{4} f^{3} e^{e}\right)} e^{\left(f x\right)}}\,{d x}"," ",0,"(-2*I*d^2*f^2*x^2 - 4*I*c*d*f^2*x - 2*I*c^2*f^2 + 4*I*d^2 + (2*I*d^2*f*x*e^(2*e) + 2*I*c*d*f*e^(2*e) - 4*I*d^2*e^(2*e))*e^(2*f*x) + 2*(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))/(3*I*a^2*d^3*f^3*x^3 + 9*I*a^2*c*d^2*f^3*x^2 + 9*I*a^2*c^2*d*f^3*x + 3*I*a^2*c^3*f^3 + 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) + (-9*I*a^2*d^3*f^3*x^3*e^(2*e) - 27*I*a^2*c*d^2*f^3*x^2*e^(2*e) - 27*I*a^2*c^2*d*f^3*x*e^(2*e) - 9*I*a^2*c^3*f^3*e^(2*e))*e^(2*f*x) - 9*(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*(d^3*f^2*x^2 + 2*c*d^2*f^2*x + c^2*d*f^2 - 6*d^3)/(3*a^2*d^4*f^3*x^4 + 12*a^2*c*d^3*f^3*x^3 + 18*a^2*c^2*d^2*f^3*x^2 + 12*a^2*c^3*d*f^3*x + 3*a^2*c^4*f^3 + (3*I*a^2*d^4*f^3*x^4*e^e + 12*I*a^2*c*d^3*f^3*x^3*e^e + 18*I*a^2*c^2*d^2*f^3*x^2*e^e + 12*I*a^2*c^3*d*f^3*x*e^e + 3*I*a^2*c^4*f^3*e^e)*e^(f*x)), x)","F",0
117,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+I*a*sinh(f*x+e))^2,x, algorithm=""maxima"")","\frac{-2 i \, d^{2} f^{2} x^{2} - 4 i \, c d f^{2} x - 2 i \, c^{2} f^{2} + 12 i \, d^{2} + {\left(4 i \, d^{2} f x e^{\left(2 \, e\right)} + 4 i \, c d f e^{\left(2 \, e\right)} - 12 i \, d^{2} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} + 2 \, {\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)}}{3 i \, a^{2} d^{4} f^{3} x^{4} + 12 i \, a^{2} c d^{3} f^{3} x^{3} + 18 i \, a^{2} c^{2} d^{2} f^{3} x^{2} + 12 i \, a^{2} c^{3} d f^{3} x + 3 i \, a^{2} c^{4} f^{3} + 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)} + {\left(-9 i \, a^{2} d^{4} f^{3} x^{4} e^{\left(2 \, e\right)} - 36 i \, a^{2} c d^{3} f^{3} x^{3} e^{\left(2 \, e\right)} - 54 i \, a^{2} c^{2} d^{2} f^{3} x^{2} e^{\left(2 \, e\right)} - 36 i \, a^{2} c^{3} d f^{3} x e^{\left(2 \, e\right)} - 9 i \, a^{2} c^{4} f^{3} e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 9 \, {\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)}} - \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 \, a^{2} d^{5} f^{3} x^{5} + 15 \, a^{2} c d^{4} f^{3} x^{4} + 30 \, a^{2} c^{2} d^{3} f^{3} x^{3} + 30 \, a^{2} c^{3} d^{2} f^{3} x^{2} + 15 \, a^{2} c^{4} d f^{3} x + 3 \, a^{2} c^{5} f^{3} + {\left(3 i \, a^{2} d^{5} f^{3} x^{5} e^{e} + 15 i \, a^{2} c d^{4} f^{3} x^{4} e^{e} + 30 i \, a^{2} c^{2} d^{3} f^{3} x^{3} e^{e} + 30 i \, a^{2} c^{3} d^{2} f^{3} x^{2} e^{e} + 15 i \, a^{2} c^{4} d f^{3} x e^{e} + 3 i \, a^{2} c^{5} f^{3} e^{e}\right)} e^{\left(f x\right)}}\,{d x}"," ",0,"(-2*I*d^2*f^2*x^2 - 4*I*c*d*f^2*x - 2*I*c^2*f^2 + 12*I*d^2 + (4*I*d^2*f*x*e^(2*e) + 4*I*c*d*f*e^(2*e) - 12*I*d^2*e^(2*e))*e^(2*f*x) + 2*(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))/(3*I*a^2*d^4*f^3*x^4 + 12*I*a^2*c*d^3*f^3*x^3 + 18*I*a^2*c^2*d^2*f^3*x^2 + 12*I*a^2*c^3*d*f^3*x + 3*I*a^2*c^4*f^3 + 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) + (-9*I*a^2*d^4*f^3*x^4*e^(2*e) - 36*I*a^2*c*d^3*f^3*x^3*e^(2*e) - 54*I*a^2*c^2*d^2*f^3*x^2*e^(2*e) - 36*I*a^2*c^3*d*f^3*x*e^(2*e) - 9*I*a^2*c^4*f^3*e^(2*e))*e^(2*f*x) - 9*(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*(d^3*f^2*x^2 + 2*c*d^2*f^2*x + c^2*d*f^2 - 12*d^3)/(3*a^2*d^5*f^3*x^5 + 15*a^2*c*d^4*f^3*x^4 + 30*a^2*c^2*d^3*f^3*x^3 + 30*a^2*c^3*d^2*f^3*x^2 + 15*a^2*c^4*d*f^3*x + 3*a^2*c^5*f^3 + (3*I*a^2*d^5*f^3*x^5*e^e + 15*I*a^2*c*d^4*f^3*x^4*e^e + 30*I*a^2*c^2*d^3*f^3*x^3*e^e + 30*I*a^2*c^3*d^2*f^3*x^2*e^e + 15*I*a^2*c^4*d*f^3*x*e^e + 3*I*a^2*c^5*f^3*e^e)*e^(f*x)), x)","F",0
118,0,0,0,0.000000," ","integrate(x^4*(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{i \, a \sinh\left(f x + e\right) + a} x^{4}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)*x^4, x)","F",0
119,0,0,0,0.000000," ","integrate(x^3*(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{i \, a \sinh\left(f x + e\right) + a} x^{3}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)*x^3, x)","F",0
120,0,0,0,0.000000," ","integrate(x^2*(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{i \, a \sinh\left(f x + e\right) + a} x^{2}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)*x^2, x)","F",0
121,0,0,0,0.000000," ","integrate(x*(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{i \, a \sinh\left(f x + e\right) + a} x\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)*x, x)","F",0
122,0,0,0,0.000000," ","integrate((a+I*a*sinh(f*x+e))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{i \, a \sinh\left(f x + e\right) + a}}{x}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)/x, x)","F",0
123,0,0,0,0.000000," ","integrate((a+I*a*sinh(f*x+e))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{i \, a \sinh\left(f x + e\right) + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)/x^2, x)","F",0
124,0,0,0,0.000000," ","integrate((a+I*a*sinh(f*x+e))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{i \, a \sinh\left(f x + e\right) + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(f*x + e) + a)/x^3, x)","F",0
125,0,0,0,0.000000," ","integrate(x^3*(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}} x^{3}\,{d x}"," ",0,"integrate((I*a*sinh(f*x + e) + a)^(3/2)*x^3, x)","F",0
126,0,0,0,0.000000," ","integrate(x^2*(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((I*a*sinh(f*x + e) + a)^(3/2)*x^2, x)","F",0
127,0,0,0,0.000000," ","integrate(x*(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((I*a*sinh(f*x + e) + a)^(3/2)*x, x)","F",0
128,0,0,0,0.000000," ","integrate((a+I*a*sinh(f*x+e))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((I*a*sinh(f*x + e) + a)^(3/2)/x, x)","F",0
129,0,0,0,0.000000," ","integrate((a+I*a*sinh(f*x+e))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((I*a*sinh(f*x + e) + a)^(3/2)/x^2, x)","F",0
130,0,0,0,0.000000," ","integrate(x^3*(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}} x^{3}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2)*x^3, x)","F",0
131,0,0,0,0.000000," ","integrate(x^2*(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}} x^{2}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2)*x^2, x)","F",0
132,0,0,0,0.000000," ","integrate(x*(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}} x\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2)*x, x)","F",0
133,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2)/x, x)","F",0
134,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))^(5/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2)/x^2, x)","F",0
135,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))^(5/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2)/x^3, x)","F",0
136,0,0,0,0.000000," ","integrate(x^3/(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{i \, a \sinh\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate(x^3/sqrt(I*a*sinh(f*x + e) + a), x)","F",0
137,0,0,0,0.000000," ","integrate(x^2/(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{i \, a \sinh\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(I*a*sinh(f*x + e) + a), x)","F",0
138,0,0,0,0.000000," ","integrate(x/(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{i \, a \sinh\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate(x/sqrt(I*a*sinh(f*x + e) + a), x)","F",0
139,0,0,0,0.000000," ","integrate(1/x/(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{i \, a \sinh\left(f x + e\right) + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(I*a*sinh(f*x + e) + a)*x), x)","F",0
140,0,0,0,0.000000," ","integrate(1/x^2/(a+I*a*sinh(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{i \, a \sinh\left(f x + e\right) + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(I*a*sinh(f*x + e) + a)*x^2), x)","F",0
141,0,0,0,0.000000," ","integrate(x^3/(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(I*a*sinh(f*x + e) + a)^(3/2), x)","F",0
142,0,0,0,0.000000," ","integrate(x^2/(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(I*a*sinh(f*x + e) + a)^(3/2), x)","F",0
143,0,0,0,0.000000," ","integrate(x/(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(I*a*sinh(f*x + e) + a)^(3/2), x)","F",0
144,0,0,0,0.000000," ","integrate(1/x/(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((I*a*sinh(f*x + e) + a)^(3/2)*x), x)","F",0
145,0,0,0,0.000000," ","integrate(1/x^2/(a+I*a*sinh(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((I*a*sinh(f*x + e) + a)^(3/2)*x^2), x)","F",0
146,0,0,0,0.000000," ","integrate(x^3/(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^3/(I*a*sinh(d*x + c) + a)^(5/2), x)","F",0
147,0,0,0,0.000000," ","integrate(x^2/(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/(I*a*sinh(d*x + c) + a)^(5/2), x)","F",0
148,0,0,0,0.000000," ","integrate(x/(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/(I*a*sinh(d*x + c) + a)^(5/2), x)","F",0
149,0,0,0,0.000000," ","integrate(1/x/(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate(1/((I*a*sinh(d*x + c) + a)^(5/2)*x), x)","F",0
150,0,0,0,0.000000," ","integrate((a+I*a*sinh(f*x+e))^(1/3)/x,x, algorithm=""maxima"")","\int \frac{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((I*a*sinh(f*x + e) + a)^(1/3)/x, x)","F",0
151,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+I*a*sinh(f*x+e))^n,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} {\left(i \, a \sinh\left(f x + e\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(I*a*sinh(f*x + e) + a)^n, x)","F",0
152,1,375,0,0.495473," ","integrate((d*x+c)^m*(a+I*a*sinh(f*x+e))^3,x, algorithm=""maxima"")","-\frac{1}{8} i \, {\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} i \, {\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*I*((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*I*((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
153,1,210,0,0.405931," ","integrate((d*x+c)^m*(a+I*a*sinh(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} + i \, {\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 + I*((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
154,1,101,0,0.410187," ","integrate((d*x+c)^m*(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","\frac{1}{2} i \, {\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*I*((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
155,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+I*a*sinh(f*x+e)),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{i \, a \sinh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(I*a*sinh(f*x + e) + a), x)","F",0
156,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+I*a*sinh(f*x+e))^2,x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(i \, a \sinh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(I*a*sinh(f*x + e) + a)^2, x)","F",0
157,1,234,0,0.325862," ","integrate((d*x+c)^3*(a+b*sinh(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} \cosh\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*cosh(f*x + e)/f","B",0
158,1,139,0,0.328311," ","integrate((d*x+c)^2*(a+b*sinh(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} \cosh\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*cosh(f*x + e)/f","B",0
159,1,65,0,0.318761," ","integrate((d*x+c)*(a+b*sinh(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 \cosh\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*cosh(f*x + e)/f","A",0
160,1,71,0,0.366261," ","integrate((a+b*sinh(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
161,1,88,0,0.448499," ","integrate((a+b*sinh(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
162,1,99,0,0.415099," ","integrate((a+b*sinh(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
163,1,520,0,0.442644," ","integrate((d*x+c)^3*(a+b*sinh(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} \cosh\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*cosh(f*x + e)/f","B",0
164,1,322,0,0.417963," ","integrate((d*x+c)^2*(a+b*sinh(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} \cosh\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*cosh(f*x + e)/f","A",0
165,1,164,0,0.357497," ","integrate((d*x+c)*(a+b*sinh(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 \cosh\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*cosh(f*x + e)/f","A",0
166,1,148,0,0.404969," ","integrate((a+b*sinh(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
167,1,181,0,0.444737," ","integrate((a+b*sinh(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
168,1,203,0,0.456772," ","integrate((a+b*sinh(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
169,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*sinh(f*x+e)),x, algorithm=""maxima"")","\frac{c^{3} \log\left(\frac{b e^{\left(-f x - e\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-f x - e\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} f} + \int \frac{2 \, d^{3} x^{3}}{b {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)} + 2 \, a} + \frac{6 \, c d^{2} x^{2}}{b {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)} + 2 \, a} + \frac{6 \, c^{2} d x}{b {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)} + 2 \, a}\,{d x}"," ",0,"c^3*log((b*e^(-f*x - e) - a - sqrt(a^2 + b^2))/(b*e^(-f*x - e) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*f) + integrate(2*d^3*x^3/(b*(e^(f*x + e) - e^(-f*x - e)) + 2*a) + 6*c*d^2*x^2/(b*(e^(f*x + e) - e^(-f*x - e)) + 2*a) + 6*c^2*d*x/(b*(e^(f*x + e) - e^(-f*x - e)) + 2*a), x)","F",0
170,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*sinh(f*x+e)),x, algorithm=""maxima"")","\frac{c^{2} \log\left(\frac{b e^{\left(-f x - e\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-f x - e\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} f} + \int \frac{2 \, d^{2} x^{2}}{b {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)} + 2 \, a} + \frac{4 \, c d x}{b {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)} + 2 \, a}\,{d x}"," ",0,"c^2*log((b*e^(-f*x - e) - a - sqrt(a^2 + b^2))/(b*e^(-f*x - e) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*f) + integrate(2*d^2*x^2/(b*(e^(f*x + e) - e^(-f*x - e)) + 2*a) + 4*c*d*x/(b*(e^(f*x + e) - e^(-f*x - e)) + 2*a), x)","F",0
171,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*sinh(f*x+e)),x, algorithm=""maxima"")","d \int \frac{2 \, x}{b {\left(e^{\left(f x + e\right)} - e^{\left(-f x - e\right)}\right)} + 2 \, a}\,{d x} + \frac{c \log\left(\frac{b e^{\left(-f x - e\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-f x - e\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} f}"," ",0,"d*integrate(2*x/(b*(e^(f*x + e) - e^(-f*x - e)) + 2*a), x) + c*log((b*e^(-f*x - e) - a - sqrt(a^2 + b^2))/(b*e^(-f*x - e) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*f)","F",0
172,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*sinh(f*x+e)),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \sinh\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*sinh(f*x + e) + a)), x)","F",0
173,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*sinh(f*x+e)),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(b \sinh\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(b*sinh(f*x + e) + a)), x)","F",0
174,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*sinh(f*x+e))^2,x, algorithm=""maxima"")","2 \, a d^{2} f \int \frac{x^{2} e^{\left(f x + e\right)}}{a^{2} b f e^{\left(2 \, f x + 2 \, e\right)} + b^{3} f e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a^{3} f e^{\left(f x + e\right)} + 2 \, a b^{2} f e^{\left(f x + e\right)} - a^{2} b f - b^{3} f}\,{d x} + 4 \, a c d f \int \frac{x e^{\left(f x + e\right)}}{a^{2} b f e^{\left(2 \, f x + 2 \, e\right)} + b^{3} f e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a^{3} f e^{\left(f x + e\right)} + 2 \, a b^{2} f e^{\left(f x + e\right)} - a^{2} b f - b^{3} f}\,{d x} + 2 \, b c d {\left(\frac{a \log\left(\frac{b e^{\left(f x + e\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(f x + e\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} f^{2}} - \frac{2 \, {\left(f x + e\right)}}{{\left(a^{2} b + b^{3}\right)} f^{2}} + \frac{\log\left(b e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a e^{\left(f x + e\right)} - b\right)}{{\left(a^{2} b + b^{3}\right)} f^{2}}\right)} - 4 \, a d^{2} \int \frac{x e^{\left(f x + e\right)}}{a^{2} b f e^{\left(2 \, f x + 2 \, e\right)} + b^{3} f e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a^{3} f e^{\left(f x + e\right)} + 2 \, a b^{2} f e^{\left(f x + e\right)} - a^{2} b f - b^{3} f}\,{d x} + 4 \, b d^{2} \int \frac{x}{a^{2} b f e^{\left(2 \, f x + 2 \, e\right)} + b^{3} f e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a^{3} f e^{\left(f x + e\right)} + 2 \, a b^{2} f e^{\left(f x + e\right)} - a^{2} b f - b^{3} f}\,{d x} + c^{2} {\left(\frac{a \log\left(\frac{b e^{\left(-f x - e\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-f x - e\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} f} - \frac{2 \, {\left(a e^{\left(-f x - e\right)} + b\right)}}{{\left(a^{2} b + b^{3} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-f x - e\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, f x - 2 \, e\right)}\right)} f}\right)} - \frac{2 \, a c d \log\left(\frac{b e^{\left(f x + e\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(f x + e\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} f^{2}} + \frac{2 \, {\left(b d^{2} x^{2} + 2 \, b c d x - {\left(a d^{2} x^{2} e^{e} + 2 \, a c d x e^{e}\right)} e^{\left(f x\right)}\right)}}{a^{2} b f + b^{3} f - {\left(a^{2} b f e^{\left(2 \, e\right)} + b^{3} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 2 \, {\left(a^{3} f e^{e} + a b^{2} f e^{e}\right)} e^{\left(f x\right)}}"," ",0,"2*a*d^2*f*integrate(x^2*e^(f*x + e)/(a^2*b*f*e^(2*f*x + 2*e) + b^3*f*e^(2*f*x + 2*e) + 2*a^3*f*e^(f*x + e) + 2*a*b^2*f*e^(f*x + e) - a^2*b*f - b^3*f), x) + 4*a*c*d*f*integrate(x*e^(f*x + e)/(a^2*b*f*e^(2*f*x + 2*e) + b^3*f*e^(2*f*x + 2*e) + 2*a^3*f*e^(f*x + e) + 2*a*b^2*f*e^(f*x + e) - a^2*b*f - b^3*f), x) + 2*b*c*d*(a*log((b*e^(f*x + e) + a - sqrt(a^2 + b^2))/(b*e^(f*x + e) + a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*f^2) - 2*(f*x + e)/((a^2*b + b^3)*f^2) + log(b*e^(2*f*x + 2*e) + 2*a*e^(f*x + e) - b)/((a^2*b + b^3)*f^2)) - 4*a*d^2*integrate(x*e^(f*x + e)/(a^2*b*f*e^(2*f*x + 2*e) + b^3*f*e^(2*f*x + 2*e) + 2*a^3*f*e^(f*x + e) + 2*a*b^2*f*e^(f*x + e) - a^2*b*f - b^3*f), x) + 4*b*d^2*integrate(x/(a^2*b*f*e^(2*f*x + 2*e) + b^3*f*e^(2*f*x + 2*e) + 2*a^3*f*e^(f*x + e) + 2*a*b^2*f*e^(f*x + e) - a^2*b*f - b^3*f), x) + c^2*(a*log((b*e^(-f*x - e) - a - sqrt(a^2 + b^2))/(b*e^(-f*x - e) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*f) - 2*(a*e^(-f*x - e) + b)/((a^2*b + b^3 + 2*(a^3 + a*b^2)*e^(-f*x - e) - (a^2*b + b^3)*e^(-2*f*x - 2*e))*f)) - 2*a*c*d*log((b*e^(f*x + e) + a - sqrt(a^2 + b^2))/(b*e^(f*x + e) + a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*f^2) + 2*(b*d^2*x^2 + 2*b*c*d*x - (a*d^2*x^2*e^e + 2*a*c*d*x*e^e)*e^(f*x))/(a^2*b*f + b^3*f - (a^2*b*f*e^(2*e) + b^3*f*e^(2*e))*e^(2*f*x) - 2*(a^3*f*e^e + a*b^2*f*e^e)*e^(f*x))","F",0
175,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*sinh(f*x+e))^2,x, algorithm=""maxima"")","{\left(2 \, a f \int \frac{x e^{\left(f x + e\right)}}{a^{2} b f e^{\left(2 \, f x + 2 \, e\right)} + b^{3} f e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a^{3} f e^{\left(f x + e\right)} + 2 \, a b^{2} f e^{\left(f x + e\right)} - a^{2} b f - b^{3} f}\,{d x} + b {\left(\frac{a \log\left(\frac{b e^{\left(f x + e\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(f x + e\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} f^{2}} - \frac{2 \, {\left(f x + e\right)}}{{\left(a^{2} b + b^{3}\right)} f^{2}} + \frac{\log\left(b e^{\left(2 \, f x + 2 \, e\right)} + 2 \, a e^{\left(f x + e\right)} - b\right)}{{\left(a^{2} b + b^{3}\right)} f^{2}}\right)} - \frac{2 \, {\left(a x e^{\left(f x + e\right)} - b x\right)}}{a^{2} b f + b^{3} f - {\left(a^{2} b f e^{\left(2 \, e\right)} + b^{3} f e^{\left(2 \, e\right)}\right)} e^{\left(2 \, f x\right)} - 2 \, {\left(a^{3} f e^{e} + a b^{2} f e^{e}\right)} e^{\left(f x\right)}} - \frac{a \log\left(\frac{b e^{\left(f x + e\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(f x + e\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} f^{2}}\right)} d + c {\left(\frac{a \log\left(\frac{b e^{\left(-f x - e\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-f x - e\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} f} - \frac{2 \, {\left(a e^{\left(-f x - e\right)} + b\right)}}{{\left(a^{2} b + b^{3} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-f x - e\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, f x - 2 \, e\right)}\right)} f}\right)}"," ",0,"(2*a*f*integrate(x*e^(f*x + e)/(a^2*b*f*e^(2*f*x + 2*e) + b^3*f*e^(2*f*x + 2*e) + 2*a^3*f*e^(f*x + e) + 2*a*b^2*f*e^(f*x + e) - a^2*b*f - b^3*f), x) + b*(a*log((b*e^(f*x + e) + a - sqrt(a^2 + b^2))/(b*e^(f*x + e) + a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*f^2) - 2*(f*x + e)/((a^2*b + b^3)*f^2) + log(b*e^(2*f*x + 2*e) + 2*a*e^(f*x + e) - b)/((a^2*b + b^3)*f^2)) - 2*(a*x*e^(f*x + e) - b*x)/(a^2*b*f + b^3*f - (a^2*b*f*e^(2*e) + b^3*f*e^(2*e))*e^(2*f*x) - 2*(a^3*f*e^e + a*b^2*f*e^e)*e^(f*x)) - a*log((b*e^(f*x + e) + a - sqrt(a^2 + b^2))/(b*e^(f*x + e) + a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*f^2))*d + c*(a*log((b*e^(-f*x - e) - a - sqrt(a^2 + b^2))/(b*e^(-f*x - e) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*f) - 2*(a*e^(-f*x - e) + b)/((a^2*b + b^3 + 2*(a^3 + a*b^2)*e^(-f*x - e) - (a^2*b + b^3)*e^(-2*f*x - 2*e))*f))","F",0
176,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*sinh(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*sinh(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((f*x+e)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(4 \, a^{2} d \int \frac{x e^{\left(d x + c\right)}}{a^{4} b d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{3} d e^{\left(2 \, d x + 2 \, c\right)} + b^{5} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{5} d e^{\left(d x + c\right)} + 4 \, a^{3} b^{2} d e^{\left(d x + c\right)} + 2 \, a b^{4} d e^{\left(d x + c\right)} - a^{4} b d - 2 \, a^{2} b^{3} d - b^{5} d}\,{d x} - 2 \, b^{2} d \int \frac{x e^{\left(d x + c\right)}}{a^{4} b d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{3} d e^{\left(2 \, d x + 2 \, c\right)} + b^{5} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{5} d e^{\left(d x + c\right)} + 4 \, a^{3} b^{2} d e^{\left(d x + c\right)} + 2 \, a b^{4} d e^{\left(d x + c\right)} - a^{4} b d - 2 \, a^{2} b^{3} d - b^{5} d}\,{d x} + 3 \, a b {\left(\frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \sqrt{a^{2} + b^{2}} d^{2}} - \frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d^{2}} + \frac{\log\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d^{2}}\right)} + \frac{2 \, {\left(3 \, a b^{2} d x - {\left(a^{2} b e^{\left(3 \, c\right)} + b^{3} e^{\left(3 \, c\right)} - {\left(2 \, a^{2} b d e^{\left(3 \, c\right)} - b^{3} d e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a^{3} e^{\left(2 \, c\right)} + 2 \, a b^{2} e^{\left(2 \, c\right)} - 3 \, {\left(2 \, a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + {\left(a^{2} b e^{c} + b^{3} e^{c} - {\left(10 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{4} b^{2} d^{2} + 2 \, a^{2} b^{4} d^{2} + b^{6} d^{2} + {\left(a^{4} b^{2} d^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} e^{\left(4 \, c\right)} + b^{6} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{5} b d^{2} e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} e^{\left(3 \, c\right)} + a b^{5} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{6} d^{2} e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} e^{\left(2 \, c\right)} - b^{6} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{5} b d^{2} e^{c} + 2 \, a^{3} b^{3} d^{2} e^{c} + a b^{5} d^{2} e^{c}\right)} e^{\left(d x\right)}} - \frac{3 \, a^{2} \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} f + \frac{1}{2} \, e {\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(3 \, a b^{2} + {\left(10 \, a^{2} b + b^{3}\right)} e^{\left(-d x - c\right)} + 3 \, {\left(2 \, a^{3} - a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} e^{\left(-d x - c\right)} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2} - b^{6}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - 4 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)}"," ",0,"1/2*(4*a^2*d*integrate(x*e^(d*x + c)/(a^4*b*d*e^(2*d*x + 2*c) + 2*a^2*b^3*d*e^(2*d*x + 2*c) + b^5*d*e^(2*d*x + 2*c) + 2*a^5*d*e^(d*x + c) + 4*a^3*b^2*d*e^(d*x + c) + 2*a*b^4*d*e^(d*x + c) - a^4*b*d - 2*a^2*b^3*d - b^5*d), x) - 2*b^2*d*integrate(x*e^(d*x + c)/(a^4*b*d*e^(2*d*x + 2*c) + 2*a^2*b^3*d*e^(2*d*x + 2*c) + b^5*d*e^(2*d*x + 2*c) + 2*a^5*d*e^(d*x + c) + 4*a^3*b^2*d*e^(d*x + c) + 2*a*b^4*d*e^(d*x + c) - a^4*b*d - 2*a^2*b^3*d - b^5*d), x) + 3*a*b*(a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^4*b + 2*a^2*b^3 + b^5)*sqrt(a^2 + b^2)*d^2) - 2*(d*x + c)/((a^4*b + 2*a^2*b^3 + b^5)*d^2) + log(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)/((a^4*b + 2*a^2*b^3 + b^5)*d^2)) + 2*(3*a*b^2*d*x - (a^2*b*e^(3*c) + b^3*e^(3*c) - (2*a^2*b*d*e^(3*c) - b^3*d*e^(3*c))*x)*e^(3*d*x) - (2*a^3*e^(2*c) + 2*a*b^2*e^(2*c) - 3*(2*a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*x)*e^(2*d*x) + (a^2*b*e^c + b^3*e^c - (10*a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*x))/(a^4*b^2*d^2 + 2*a^2*b^4*d^2 + b^6*d^2 + (a^4*b^2*d^2*e^(4*c) + 2*a^2*b^4*d^2*e^(4*c) + b^6*d^2*e^(4*c))*e^(4*d*x) + 4*(a^5*b*d^2*e^(3*c) + 2*a^3*b^3*d^2*e^(3*c) + a*b^5*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^6*d^2*e^(2*c) + 3*a^4*b^2*d^2*e^(2*c) - b^6*d^2*e^(2*c))*e^(2*d*x) - 4*(a^5*b*d^2*e^c + 2*a^3*b^3*d^2*e^c + a*b^5*d^2*e^c)*e^(d*x)) - 3*a^2*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d^2))*f + 1/2*e*((2*a^2 - b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d) - 2*(3*a*b^2 + (10*a^2*b + b^3)*e^(-d*x - c) + 3*(2*a^3 - a*b^2)*e^(-2*d*x - 2*c) - (2*a^2*b - b^3)*e^(-3*d*x - 3*c))/((a^4*b^2 + 2*a^2*b^4 + b^6 + 4*(a^5*b + 2*a^3*b^3 + a*b^5)*e^(-d*x - c) + 2*(2*a^6 + 3*a^4*b^2 - b^6)*e^(-2*d*x - 2*c) - 4*(a^5*b + 2*a^3*b^3 + a*b^5)*e^(-3*d*x - 3*c) + (a^4*b^2 + 2*a^2*b^4 + b^6)*e^(-4*d*x - 4*c))*d))","F",0
179,0,0,0,0.000000," ","integrate(1/(f*x+e)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{3 \, a b^{2} d f x + 3 \, a b^{2} d e + {\left({\left(2 \, d e + f\right)} a^{2} b e^{\left(3 \, c\right)} - {\left(d e - f\right)} b^{3} e^{\left(3 \, c\right)} + {\left(2 \, a^{2} b d f e^{\left(3 \, c\right)} - b^{3} d f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} + {\left(2 \, {\left(3 \, d e + f\right)} a^{3} e^{\left(2 \, c\right)} - {\left(3 \, d e - 2 \, f\right)} a b^{2} e^{\left(2 \, c\right)} + 3 \, {\left(2 \, a^{3} d f e^{\left(2 \, c\right)} - a b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - {\left({\left(10 \, d e + f\right)} a^{2} b e^{c} + {\left(d e + f\right)} b^{3} e^{c} + {\left(10 \, a^{2} b d f e^{c} + b^{3} d f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} b^{2} d^{2} e^{2} + 2 \, a^{2} b^{4} d^{2} e^{2} + b^{6} d^{2} e^{2} + {\left(a^{4} b^{2} d^{2} f^{2} + 2 \, a^{2} b^{4} d^{2} f^{2} + b^{6} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{4} b^{2} d^{2} e f + 2 \, a^{2} b^{4} d^{2} e f + b^{6} d^{2} e f\right)} x + {\left(a^{4} b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} e^{2} e^{\left(4 \, c\right)} + b^{6} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{4} b^{2} d^{2} f^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} f^{2} e^{\left(4 \, c\right)} + b^{6} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{4} b^{2} d^{2} e f e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} e f e^{\left(4 \, c\right)} + b^{6} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{5} b d^{2} e^{2} e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} e^{2} e^{\left(3 \, c\right)} + a b^{5} d^{2} e^{2} e^{\left(3 \, c\right)} + {\left(a^{5} b d^{2} f^{2} e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} f^{2} e^{\left(3 \, c\right)} + a b^{5} d^{2} f^{2} e^{\left(3 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{5} b d^{2} e f e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} e f e^{\left(3 \, c\right)} + a b^{5} d^{2} e f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{6} d^{2} e^{2} e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} - b^{6} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(2 \, a^{6} d^{2} f^{2} e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} f^{2} e^{\left(2 \, c\right)} - b^{6} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(2 \, a^{6} d^{2} e f e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} e f e^{\left(2 \, c\right)} - b^{6} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{5} b d^{2} e^{2} e^{c} + 2 \, a^{3} b^{3} d^{2} e^{2} e^{c} + a b^{5} d^{2} e^{2} e^{c} + {\left(a^{5} b d^{2} f^{2} e^{c} + 2 \, a^{3} b^{3} d^{2} f^{2} e^{c} + a b^{5} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{5} b d^{2} e f e^{c} + 2 \, a^{3} b^{3} d^{2} e f e^{c} + a b^{5} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}} + \int \frac{3 \, a b d f^{2} x + 3 \, a b d e f - {\left({\left(2 \, d^{2} e^{2} + 3 \, d e f + 2 \, f^{2}\right)} a^{2} e^{c} - {\left(d^{2} e^{2} - 2 \, f^{2}\right)} b^{2} e^{c} + {\left(2 \, a^{2} d^{2} f^{2} e^{c} - b^{2} d^{2} f^{2} e^{c}\right)} x^{2} - {\left(2 \, b^{2} d^{2} e f e^{c} - {\left(4 \, d^{2} e f + 3 \, d f^{2}\right)} a^{2} e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} b d^{2} e^{3} + 2 \, a^{2} b^{3} d^{2} e^{3} + b^{5} d^{2} e^{3} + {\left(a^{4} b d^{2} f^{3} + 2 \, a^{2} b^{3} d^{2} f^{3} + b^{5} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} b d^{2} e f^{2} + 2 \, a^{2} b^{3} d^{2} e f^{2} + b^{5} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} b d^{2} e^{2} f + 2 \, a^{2} b^{3} d^{2} e^{2} f + b^{5} d^{2} e^{2} f\right)} x - {\left(a^{4} b d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{5} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} b d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{5} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} b d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{5} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} b d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{5} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} d^{2} e^{3} e^{c} + 2 \, a^{3} b^{2} d^{2} e^{3} e^{c} + a b^{4} d^{2} e^{3} e^{c} + {\left(a^{5} d^{2} f^{3} e^{c} + 2 \, a^{3} b^{2} d^{2} f^{3} e^{c} + a b^{4} d^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{5} d^{2} e f^{2} e^{c} + 2 \, a^{3} b^{2} d^{2} e f^{2} e^{c} + a b^{4} d^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{5} d^{2} e^{2} f e^{c} + 2 \, a^{3} b^{2} d^{2} e^{2} f e^{c} + a b^{4} d^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"(3*a*b^2*d*f*x + 3*a*b^2*d*e + ((2*d*e + f)*a^2*b*e^(3*c) - (d*e - f)*b^3*e^(3*c) + (2*a^2*b*d*f*e^(3*c) - b^3*d*f*e^(3*c))*x)*e^(3*d*x) + (2*(3*d*e + f)*a^3*e^(2*c) - (3*d*e - 2*f)*a*b^2*e^(2*c) + 3*(2*a^3*d*f*e^(2*c) - a*b^2*d*f*e^(2*c))*x)*e^(2*d*x) - ((10*d*e + f)*a^2*b*e^c + (d*e + f)*b^3*e^c + (10*a^2*b*d*f*e^c + b^3*d*f*e^c)*x)*e^(d*x))/(a^4*b^2*d^2*e^2 + 2*a^2*b^4*d^2*e^2 + b^6*d^2*e^2 + (a^4*b^2*d^2*f^2 + 2*a^2*b^4*d^2*f^2 + b^6*d^2*f^2)*x^2 + 2*(a^4*b^2*d^2*e*f + 2*a^2*b^4*d^2*e*f + b^6*d^2*e*f)*x + (a^4*b^2*d^2*e^2*e^(4*c) + 2*a^2*b^4*d^2*e^2*e^(4*c) + b^6*d^2*e^2*e^(4*c) + (a^4*b^2*d^2*f^2*e^(4*c) + 2*a^2*b^4*d^2*f^2*e^(4*c) + b^6*d^2*f^2*e^(4*c))*x^2 + 2*(a^4*b^2*d^2*e*f*e^(4*c) + 2*a^2*b^4*d^2*e*f*e^(4*c) + b^6*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + 4*(a^5*b*d^2*e^2*e^(3*c) + 2*a^3*b^3*d^2*e^2*e^(3*c) + a*b^5*d^2*e^2*e^(3*c) + (a^5*b*d^2*f^2*e^(3*c) + 2*a^3*b^3*d^2*f^2*e^(3*c) + a*b^5*d^2*f^2*e^(3*c))*x^2 + 2*(a^5*b*d^2*e*f*e^(3*c) + 2*a^3*b^3*d^2*e*f*e^(3*c) + a*b^5*d^2*e*f*e^(3*c))*x)*e^(3*d*x) + 2*(2*a^6*d^2*e^2*e^(2*c) + 3*a^4*b^2*d^2*e^2*e^(2*c) - b^6*d^2*e^2*e^(2*c) + (2*a^6*d^2*f^2*e^(2*c) + 3*a^4*b^2*d^2*f^2*e^(2*c) - b^6*d^2*f^2*e^(2*c))*x^2 + 2*(2*a^6*d^2*e*f*e^(2*c) + 3*a^4*b^2*d^2*e*f*e^(2*c) - b^6*d^2*e*f*e^(2*c))*x)*e^(2*d*x) - 4*(a^5*b*d^2*e^2*e^c + 2*a^3*b^3*d^2*e^2*e^c + a*b^5*d^2*e^2*e^c + (a^5*b*d^2*f^2*e^c + 2*a^3*b^3*d^2*f^2*e^c + a*b^5*d^2*f^2*e^c)*x^2 + 2*(a^5*b*d^2*e*f*e^c + 2*a^3*b^3*d^2*e*f*e^c + a*b^5*d^2*e*f*e^c)*x)*e^(d*x)) + integrate((3*a*b*d*f^2*x + 3*a*b*d*e*f - ((2*d^2*e^2 + 3*d*e*f + 2*f^2)*a^2*e^c - (d^2*e^2 - 2*f^2)*b^2*e^c + (2*a^2*d^2*f^2*e^c - b^2*d^2*f^2*e^c)*x^2 - (2*b^2*d^2*e*f*e^c - (4*d^2*e*f + 3*d*f^2)*a^2*e^c)*x)*e^(d*x))/(a^4*b*d^2*e^3 + 2*a^2*b^3*d^2*e^3 + b^5*d^2*e^3 + (a^4*b*d^2*f^3 + 2*a^2*b^3*d^2*f^3 + b^5*d^2*f^3)*x^3 + 3*(a^4*b*d^2*e*f^2 + 2*a^2*b^3*d^2*e*f^2 + b^5*d^2*e*f^2)*x^2 + 3*(a^4*b*d^2*e^2*f + 2*a^2*b^3*d^2*e^2*f + b^5*d^2*e^2*f)*x - (a^4*b*d^2*e^3*e^(2*c) + 2*a^2*b^3*d^2*e^3*e^(2*c) + b^5*d^2*e^3*e^(2*c) + (a^4*b*d^2*f^3*e^(2*c) + 2*a^2*b^3*d^2*f^3*e^(2*c) + b^5*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*b*d^2*e*f^2*e^(2*c) + 2*a^2*b^3*d^2*e*f^2*e^(2*c) + b^5*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*b*d^2*e^2*f*e^(2*c) + 2*a^2*b^3*d^2*e^2*f*e^(2*c) + b^5*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*d^2*e^3*e^c + 2*a^3*b^2*d^2*e^3*e^c + a*b^4*d^2*e^3*e^c + (a^5*d^2*f^3*e^c + 2*a^3*b^2*d^2*f^3*e^c + a*b^4*d^2*f^3*e^c)*x^3 + 3*(a^5*d^2*e*f^2*e^c + 2*a^3*b^2*d^2*e*f^2*e^c + a*b^4*d^2*e*f^2*e^c)*x^2 + 3*(a^5*d^2*e^2*f*e^c + 2*a^3*b^2*d^2*e^2*f*e^c + a*b^4*d^2*e^2*f*e^c)*x)*e^(d*x)), x)","F",0
180,0,0,0,0.000000," ","integrate(1/(f*x+e)^2/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{3 \, a b^{2} d f x + 3 \, a b^{2} d e + {\left(2 \, {\left(d e + f\right)} a^{2} b e^{\left(3 \, c\right)} - {\left(d e - 2 \, f\right)} b^{3} e^{\left(3 \, c\right)} + {\left(2 \, a^{2} b d f e^{\left(3 \, c\right)} - b^{3} d f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} + {\left(2 \, {\left(3 \, d e + 2 \, f\right)} a^{3} e^{\left(2 \, c\right)} - {\left(3 \, d e - 4 \, f\right)} a b^{2} e^{\left(2 \, c\right)} + 3 \, {\left(2 \, a^{3} d f e^{\left(2 \, c\right)} - a b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - {\left(2 \, {\left(5 \, d e + f\right)} a^{2} b e^{c} + {\left(d e + 2 \, f\right)} b^{3} e^{c} + {\left(10 \, a^{2} b d f e^{c} + b^{3} d f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} b^{2} d^{2} e^{3} + 2 \, a^{2} b^{4} d^{2} e^{3} + b^{6} d^{2} e^{3} + {\left(a^{4} b^{2} d^{2} f^{3} + 2 \, a^{2} b^{4} d^{2} f^{3} + b^{6} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} b^{2} d^{2} e f^{2} + 2 \, a^{2} b^{4} d^{2} e f^{2} + b^{6} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} b^{2} d^{2} e^{2} f + 2 \, a^{2} b^{4} d^{2} e^{2} f + b^{6} d^{2} e^{2} f\right)} x + {\left(a^{4} b^{2} d^{2} e^{3} e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} e^{3} e^{\left(4 \, c\right)} + b^{6} d^{2} e^{3} e^{\left(4 \, c\right)} + {\left(a^{4} b^{2} d^{2} f^{3} e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} f^{3} e^{\left(4 \, c\right)} + b^{6} d^{2} f^{3} e^{\left(4 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} b^{2} d^{2} e f^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} e f^{2} e^{\left(4 \, c\right)} + b^{6} d^{2} e f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} b^{2} d^{2} e^{2} f e^{\left(4 \, c\right)} + 2 \, a^{2} b^{4} d^{2} e^{2} f e^{\left(4 \, c\right)} + b^{6} d^{2} e^{2} f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{5} b d^{2} e^{3} e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} e^{3} e^{\left(3 \, c\right)} + a b^{5} d^{2} e^{3} e^{\left(3 \, c\right)} + {\left(a^{5} b d^{2} f^{3} e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} f^{3} e^{\left(3 \, c\right)} + a b^{5} d^{2} f^{3} e^{\left(3 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{5} b d^{2} e f^{2} e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} e f^{2} e^{\left(3 \, c\right)} + a b^{5} d^{2} e f^{2} e^{\left(3 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{5} b d^{2} e^{2} f e^{\left(3 \, c\right)} + 2 \, a^{3} b^{3} d^{2} e^{2} f e^{\left(3 \, c\right)} + a b^{5} d^{2} e^{2} f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{6} d^{2} e^{3} e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} - b^{6} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(2 \, a^{6} d^{2} f^{3} e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} - b^{6} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(2 \, a^{6} d^{2} e f^{2} e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} - b^{6} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(2 \, a^{6} d^{2} e^{2} f e^{\left(2 \, c\right)} + 3 \, a^{4} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} - b^{6} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{5} b d^{2} e^{3} e^{c} + 2 \, a^{3} b^{3} d^{2} e^{3} e^{c} + a b^{5} d^{2} e^{3} e^{c} + {\left(a^{5} b d^{2} f^{3} e^{c} + 2 \, a^{3} b^{3} d^{2} f^{3} e^{c} + a b^{5} d^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{5} b d^{2} e f^{2} e^{c} + 2 \, a^{3} b^{3} d^{2} e f^{2} e^{c} + a b^{5} d^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{5} b d^{2} e^{2} f e^{c} + 2 \, a^{3} b^{3} d^{2} e^{2} f e^{c} + a b^{5} d^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}} + \int \frac{6 \, a b d f^{2} x + 6 \, a b d e f - {\left(2 \, {\left(d^{2} e^{2} + 3 \, d e f + 3 \, f^{2}\right)} a^{2} e^{c} - {\left(d^{2} e^{2} - 6 \, f^{2}\right)} b^{2} e^{c} + {\left(2 \, a^{2} d^{2} f^{2} e^{c} - b^{2} d^{2} f^{2} e^{c}\right)} x^{2} - 2 \, {\left(b^{2} d^{2} e f e^{c} - {\left(2 \, d^{2} e f + 3 \, d f^{2}\right)} a^{2} e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} b d^{2} e^{4} + 2 \, a^{2} b^{3} d^{2} e^{4} + b^{5} d^{2} e^{4} + {\left(a^{4} b d^{2} f^{4} + 2 \, a^{2} b^{3} d^{2} f^{4} + b^{5} d^{2} f^{4}\right)} x^{4} + 4 \, {\left(a^{4} b d^{2} e f^{3} + 2 \, a^{2} b^{3} d^{2} e f^{3} + b^{5} d^{2} e f^{3}\right)} x^{3} + 6 \, {\left(a^{4} b d^{2} e^{2} f^{2} + 2 \, a^{2} b^{3} d^{2} e^{2} f^{2} + b^{5} d^{2} e^{2} f^{2}\right)} x^{2} + 4 \, {\left(a^{4} b d^{2} e^{3} f + 2 \, a^{2} b^{3} d^{2} e^{3} f + b^{5} d^{2} e^{3} f\right)} x - {\left(a^{4} b d^{2} e^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e^{4} e^{\left(2 \, c\right)} + b^{5} d^{2} e^{4} e^{\left(2 \, c\right)} + {\left(a^{4} b d^{2} f^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} f^{4} e^{\left(2 \, c\right)} + b^{5} d^{2} f^{4} e^{\left(2 \, c\right)}\right)} x^{4} + 4 \, {\left(a^{4} b d^{2} e f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e f^{3} e^{\left(2 \, c\right)} + b^{5} d^{2} e f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 6 \, {\left(a^{4} b d^{2} e^{2} f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e^{2} f^{2} e^{\left(2 \, c\right)} + b^{5} d^{2} e^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 4 \, {\left(a^{4} b d^{2} e^{3} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} d^{2} e^{3} f e^{\left(2 \, c\right)} + b^{5} d^{2} e^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} d^{2} e^{4} e^{c} + 2 \, a^{3} b^{2} d^{2} e^{4} e^{c} + a b^{4} d^{2} e^{4} e^{c} + {\left(a^{5} d^{2} f^{4} e^{c} + 2 \, a^{3} b^{2} d^{2} f^{4} e^{c} + a b^{4} d^{2} f^{4} e^{c}\right)} x^{4} + 4 \, {\left(a^{5} d^{2} e f^{3} e^{c} + 2 \, a^{3} b^{2} d^{2} e f^{3} e^{c} + a b^{4} d^{2} e f^{3} e^{c}\right)} x^{3} + 6 \, {\left(a^{5} d^{2} e^{2} f^{2} e^{c} + 2 \, a^{3} b^{2} d^{2} e^{2} f^{2} e^{c} + a b^{4} d^{2} e^{2} f^{2} e^{c}\right)} x^{2} + 4 \, {\left(a^{5} d^{2} e^{3} f e^{c} + 2 \, a^{3} b^{2} d^{2} e^{3} f e^{c} + a b^{4} d^{2} e^{3} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"(3*a*b^2*d*f*x + 3*a*b^2*d*e + (2*(d*e + f)*a^2*b*e^(3*c) - (d*e - 2*f)*b^3*e^(3*c) + (2*a^2*b*d*f*e^(3*c) - b^3*d*f*e^(3*c))*x)*e^(3*d*x) + (2*(3*d*e + 2*f)*a^3*e^(2*c) - (3*d*e - 4*f)*a*b^2*e^(2*c) + 3*(2*a^3*d*f*e^(2*c) - a*b^2*d*f*e^(2*c))*x)*e^(2*d*x) - (2*(5*d*e + f)*a^2*b*e^c + (d*e + 2*f)*b^3*e^c + (10*a^2*b*d*f*e^c + b^3*d*f*e^c)*x)*e^(d*x))/(a^4*b^2*d^2*e^3 + 2*a^2*b^4*d^2*e^3 + b^6*d^2*e^3 + (a^4*b^2*d^2*f^3 + 2*a^2*b^4*d^2*f^3 + b^6*d^2*f^3)*x^3 + 3*(a^4*b^2*d^2*e*f^2 + 2*a^2*b^4*d^2*e*f^2 + b^6*d^2*e*f^2)*x^2 + 3*(a^4*b^2*d^2*e^2*f + 2*a^2*b^4*d^2*e^2*f + b^6*d^2*e^2*f)*x + (a^4*b^2*d^2*e^3*e^(4*c) + 2*a^2*b^4*d^2*e^3*e^(4*c) + b^6*d^2*e^3*e^(4*c) + (a^4*b^2*d^2*f^3*e^(4*c) + 2*a^2*b^4*d^2*f^3*e^(4*c) + b^6*d^2*f^3*e^(4*c))*x^3 + 3*(a^4*b^2*d^2*e*f^2*e^(4*c) + 2*a^2*b^4*d^2*e*f^2*e^(4*c) + b^6*d^2*e*f^2*e^(4*c))*x^2 + 3*(a^4*b^2*d^2*e^2*f*e^(4*c) + 2*a^2*b^4*d^2*e^2*f*e^(4*c) + b^6*d^2*e^2*f*e^(4*c))*x)*e^(4*d*x) + 4*(a^5*b*d^2*e^3*e^(3*c) + 2*a^3*b^3*d^2*e^3*e^(3*c) + a*b^5*d^2*e^3*e^(3*c) + (a^5*b*d^2*f^3*e^(3*c) + 2*a^3*b^3*d^2*f^3*e^(3*c) + a*b^5*d^2*f^3*e^(3*c))*x^3 + 3*(a^5*b*d^2*e*f^2*e^(3*c) + 2*a^3*b^3*d^2*e*f^2*e^(3*c) + a*b^5*d^2*e*f^2*e^(3*c))*x^2 + 3*(a^5*b*d^2*e^2*f*e^(3*c) + 2*a^3*b^3*d^2*e^2*f*e^(3*c) + a*b^5*d^2*e^2*f*e^(3*c))*x)*e^(3*d*x) + 2*(2*a^6*d^2*e^3*e^(2*c) + 3*a^4*b^2*d^2*e^3*e^(2*c) - b^6*d^2*e^3*e^(2*c) + (2*a^6*d^2*f^3*e^(2*c) + 3*a^4*b^2*d^2*f^3*e^(2*c) - b^6*d^2*f^3*e^(2*c))*x^3 + 3*(2*a^6*d^2*e*f^2*e^(2*c) + 3*a^4*b^2*d^2*e*f^2*e^(2*c) - b^6*d^2*e*f^2*e^(2*c))*x^2 + 3*(2*a^6*d^2*e^2*f*e^(2*c) + 3*a^4*b^2*d^2*e^2*f*e^(2*c) - b^6*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x) - 4*(a^5*b*d^2*e^3*e^c + 2*a^3*b^3*d^2*e^3*e^c + a*b^5*d^2*e^3*e^c + (a^5*b*d^2*f^3*e^c + 2*a^3*b^3*d^2*f^3*e^c + a*b^5*d^2*f^3*e^c)*x^3 + 3*(a^5*b*d^2*e*f^2*e^c + 2*a^3*b^3*d^2*e*f^2*e^c + a*b^5*d^2*e*f^2*e^c)*x^2 + 3*(a^5*b*d^2*e^2*f*e^c + 2*a^3*b^3*d^2*e^2*f*e^c + a*b^5*d^2*e^2*f*e^c)*x)*e^(d*x)) + integrate((6*a*b*d*f^2*x + 6*a*b*d*e*f - (2*(d^2*e^2 + 3*d*e*f + 3*f^2)*a^2*e^c - (d^2*e^2 - 6*f^2)*b^2*e^c + (2*a^2*d^2*f^2*e^c - b^2*d^2*f^2*e^c)*x^2 - 2*(b^2*d^2*e*f*e^c - (2*d^2*e*f + 3*d*f^2)*a^2*e^c)*x)*e^(d*x))/(a^4*b*d^2*e^4 + 2*a^2*b^3*d^2*e^4 + b^5*d^2*e^4 + (a^4*b*d^2*f^4 + 2*a^2*b^3*d^2*f^4 + b^5*d^2*f^4)*x^4 + 4*(a^4*b*d^2*e*f^3 + 2*a^2*b^3*d^2*e*f^3 + b^5*d^2*e*f^3)*x^3 + 6*(a^4*b*d^2*e^2*f^2 + 2*a^2*b^3*d^2*e^2*f^2 + b^5*d^2*e^2*f^2)*x^2 + 4*(a^4*b*d^2*e^3*f + 2*a^2*b^3*d^2*e^3*f + b^5*d^2*e^3*f)*x - (a^4*b*d^2*e^4*e^(2*c) + 2*a^2*b^3*d^2*e^4*e^(2*c) + b^5*d^2*e^4*e^(2*c) + (a^4*b*d^2*f^4*e^(2*c) + 2*a^2*b^3*d^2*f^4*e^(2*c) + b^5*d^2*f^4*e^(2*c))*x^4 + 4*(a^4*b*d^2*e*f^3*e^(2*c) + 2*a^2*b^3*d^2*e*f^3*e^(2*c) + b^5*d^2*e*f^3*e^(2*c))*x^3 + 6*(a^4*b*d^2*e^2*f^2*e^(2*c) + 2*a^2*b^3*d^2*e^2*f^2*e^(2*c) + b^5*d^2*e^2*f^2*e^(2*c))*x^2 + 4*(a^4*b*d^2*e^3*f*e^(2*c) + 2*a^2*b^3*d^2*e^3*f*e^(2*c) + b^5*d^2*e^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*d^2*e^4*e^c + 2*a^3*b^2*d^2*e^4*e^c + a*b^4*d^2*e^4*e^c + (a^5*d^2*f^4*e^c + 2*a^3*b^2*d^2*f^4*e^c + a*b^4*d^2*f^4*e^c)*x^4 + 4*(a^5*d^2*e*f^3*e^c + 2*a^3*b^2*d^2*e*f^3*e^c + a*b^4*d^2*e*f^3*e^c)*x^3 + 6*(a^5*d^2*e^2*f^2*e^c + 2*a^3*b^2*d^2*e^2*f^2*e^c + a*b^4*d^2*e^2*f^2*e^c)*x^2 + 4*(a^5*d^2*e^3*f*e^c + 2*a^3*b^2*d^2*e^3*f*e^c + a*b^4*d^2*e^3*f*e^c)*x)*e^(d*x)), x)","F",0
181,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*sinh(f*x+e))^n,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} {\left(b \sinh\left(f x + e\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(b*sinh(f*x + e) + a)^n, x)","F",0
182,1,377,0,0.469362," ","integrate((d*x+c)^m*(a+b*sinh(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
183,1,208,0,0.406451," ","integrate((d*x+c)^m*(a+b*sinh(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
184,1,101,0,0.382309," ","integrate((d*x+c)^m*(a+b*sinh(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
185,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*sinh(f*x+e)),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{b \sinh\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(b*sinh(f*x + e) + a), x)","F",0
186,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*sinh(f*x+e))^2,x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(b \sinh\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(b*sinh(f*x + e) + a)^2, x)","F",0
187,1,317,0,0.651978," ","integrate((f*x+e)^3*sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{3}{2} \, e^{2} f {\left(\frac{-i \, d x^{2} + {\left(d x^{2} e^{c} - 4 \, x e^{c}\right)} e^{\left(d x\right)}}{i \, a d e^{\left(d x + c\right)} + a d} - \frac{4 i \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + \frac{1}{2} \, e^{3} {\left(-\frac{2 i \, {\left(d x + c\right)}}{a d} - \frac{4}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}\right)} - \frac{d f^{3} x^{4} + 24 \, e f^{2} x^{2} + 4 \, {\left(d e f^{2} + 2 \, f^{3}\right)} x^{3} + {\left(i \, d f^{3} x^{4} e^{c} + 4 i \, d e f^{2} x^{3} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a d e^{\left(d x + c\right)} - i \, a d\right)}} - \frac{12 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} - \frac{6 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{2 i \, d^{3} f^{3} x^{3} + 6 i \, d^{3} e f^{2} x^{2}}{a d^{4}}"," ",0,"3/2*e^2*f*((-I*d*x^2 + (d*x^2*e^c - 4*x*e^c)*e^(d*x))/(I*a*d*e^(d*x + c) + a*d) - 4*I*log((e^(d*x + c) - I)*e^(-c))/(a*d^2)) + 1/2*e^3*(-2*I*(d*x + c)/(a*d) - 4/((a*e^(-d*x - c) + I*a)*d)) - 1/4*(d*f^3*x^4 + 24*e*f^2*x^2 + 4*(d*e*f^2 + 2*f^3)*x^3 + (I*d*f^3*x^4*e^c + 4*I*d*e*f^2*x^3*e^c)*e^(d*x))/(a*d*e^(d*x + c) - I*a*d) - 12*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f^2/(a*d^3) - 6*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^3/(a*d^4) + (2*I*d^3*f^3*x^3 + 6*I*d^3*e*f^2*x^2)/(a*d^4)","B",0
188,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{6} \, f^{2} {\left(\frac{2 i \, d x^{3} e^{\left(d x + c\right)} + 2 \, d x^{3} + 12 \, x^{2}}{a d e^{\left(d x + c\right)} - i \, a d} - 24 \, \int \frac{x}{a d e^{\left(d x + c\right)} - i \, a d}\,{d x}\right)} + e f {\left(\frac{-i \, d x^{2} + {\left(d x^{2} e^{c} - 4 \, x e^{c}\right)} e^{\left(d x\right)}}{i \, a d e^{\left(d x + c\right)} + a d} - \frac{4 i \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + \frac{1}{2} \, e^{2} {\left(-\frac{2 i \, {\left(d x + c\right)}}{a d} - \frac{4}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}\right)}"," ",0,"-1/6*f^2*((2*I*d*x^3*e^(d*x + c) + 2*d*x^3 + 12*x^2)/(a*d*e^(d*x + c) - I*a*d) - 24*integrate(x/(a*d*e^(d*x + c) - I*a*d), x)) + e*f*((-I*d*x^2 + (d*x^2*e^c - 4*x*e^c)*e^(d*x))/(I*a*d*e^(d*x + c) + a*d) - 4*I*log((e^(d*x + c) - I)*e^(-c))/(a*d^2)) + 1/2*e^2*(-2*I*(d*x + c)/(a*d) - 4/((a*e^(-d*x - c) + I*a)*d))","F",0
189,1,108,0,0.610566," ","integrate((f*x+e)*sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, f {\left(\frac{-i \, d x^{2} + {\left(d x^{2} e^{c} - 4 \, x e^{c}\right)} e^{\left(d x\right)}}{i \, a d e^{\left(d x + c\right)} + a d} - \frac{4 i \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + \frac{1}{2} \, e {\left(-\frac{2 i \, {\left(d x + c\right)}}{a d} - \frac{4}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}\right)}"," ",0,"1/2*f*((-I*d*x^2 + (d*x^2*e^c - 4*x*e^c)*e^(d*x))/(I*a*d*e^(d*x + c) + a*d) - 4*I*log((e^(d*x + c) - I)*e^(-c))/(a*d^2)) + 1/2*e*(-2*I*(d*x + c)/(a*d) - 4/((a*e^(-d*x - c) + I*a)*d))","A",0
190,1,36,0,0.306381," ","integrate(sinh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, {\left(d x + c\right)}}{a d} - \frac{2}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}"," ",0,"-I*(d*x + c)/(a*d) - 2/((a*e^(-d*x - c) + I*a)*d)","A",0
191,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, f \int \frac{1}{-i \, a d f^{2} x^{2} - 2 i \, a d e f x - i \, a d e^{2} + {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{2}{-i \, a d f x - i \, a d e + {\left(a d f x e^{c} + a d e e^{c}\right)} e^{\left(d x\right)}} - \frac{i \, \log\left(f x + e\right)}{a f}"," ",0,"-2*f*integrate(1/(-I*a*d*f^2*x^2 - 2*I*a*d*e*f*x - I*a*d*e^2 + (a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) - 2/(-I*a*d*f*x - I*a*d*e + (a*d*f*x*e^c + a*d*e*e^c)*e^(d*x)) - I*log(f*x + e)/(a*f)","F",0
192,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-4 \, f \int \frac{1}{-i \, a d f^{3} x^{3} - 3 i \, a d e f^{2} x^{2} - 3 i \, a d e^{2} f x - i \, a d e^{3} + {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{2 \, d f x + 2 \, d e + {\left(2 i \, d f x e^{c} + 2 i \, d e e^{c}\right)} e^{\left(d x\right)} - 4 \, f}{2 \, {\left(-i \, a d f^{3} x^{2} - 2 i \, a d e f^{2} x - i \, a d e^{2} f + {\left(a d f^{3} x^{2} e^{c} + 2 \, a d e f^{2} x e^{c} + a d e^{2} f e^{c}\right)} e^{\left(d x\right)}\right)}}"," ",0,"-4*f*integrate(1/(-I*a*d*f^3*x^3 - 3*I*a*d*e*f^2*x^2 - 3*I*a*d*e^2*f*x - I*a*d*e^3 + (a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) + 1/2*(2*d*f*x + 2*d*e + (2*I*d*f*x*e^c + 2*I*d*e*e^c)*e^(d*x) - 4*f)/(-I*a*d*f^3*x^2 - 2*I*a*d*e*f^2*x - I*a*d*e^2*f + (a*d*f^3*x^2*e^c + 2*a*d*e*f^2*x*e^c + a*d*e^2*f*e^c)*e^(d*x))","F",0
193,1,670,0,0.707767," ","integrate((f*x+e)^3*sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{3}{4} \, e^{2} f {\left(\frac{4 \, x e^{\left(d x + c\right)}}{a d e^{\left(d x + c\right)} - i \, a d} - \frac{-2 i \, d^{2} x^{2} e^{c} - 2 i \, d x e^{c} - {\left(2 i \, d x e^{\left(3 \, c\right)} - 2 i \, e^{\left(3 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(d^{2} x^{2} e^{\left(2 \, c\right)} - 3 \, d x e^{\left(2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(d x + 1\right)} e^{\left(-d x\right)} - 2 i \, e^{c}}{a d^{2} e^{\left(d x + 2 \, c\right)} - i \, a d^{2} e^{c}} - \frac{8 \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + \frac{1}{2} \, e^{3} {\left(\frac{2 \, {\left(d x + c\right)}}{a d} + \frac{-5 i \, e^{\left(-d x - c\right)} + 1}{{\left(i \, a e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{i \, e^{\left(-d x - c\right)}}{a d}\right)} + \frac{-i \, d^{4} f^{3} x^{4} - 12 i \, d e f^{2} - {\left(4 i \, d^{4} e f^{2} + 10 i \, d^{3} f^{3}\right)} x^{3} - 12 i \, f^{3} - {\left(30 i \, d^{3} e f^{2} + 6 i \, d^{2} f^{3}\right)} x^{2} - {\left(12 i \, d^{2} e f^{2} + 12 i \, d f^{3}\right)} x - {\left(2 i \, d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + {\left(6 i \, d^{3} e f^{2} - 6 i \, d^{2} f^{3}\right)} x^{2} e^{\left(2 \, c\right)} + {\left(-12 i \, d^{2} e f^{2} + 12 i \, d f^{3}\right)} x e^{\left(2 \, c\right)} + {\left(12 i \, d e f^{2} - 12 i \, f^{3}\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(d^{4} f^{3} x^{4} e^{c} + 2 \, {\left(2 \, d^{4} e f^{2} - d^{3} f^{3}\right)} x^{3} e^{c} - 6 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} x^{2} e^{c} + 12 \, {\left(d^{2} e f^{2} - d f^{3}\right)} x e^{c} - 12 \, {\left(d e f^{2} - f^{3}\right)} e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a d^{4} e^{\left(d x + c\right)} - i \, a d^{4}\right)}} + \frac{12 \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} + \frac{6 \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \frac{2 \, {\left(d^{3} f^{3} x^{3} + 3 \, d^{3} e f^{2} x^{2}\right)}}{a d^{4}}"," ",0,"-3/4*e^2*f*(4*x*e^(d*x + c)/(a*d*e^(d*x + c) - I*a*d) - (-2*I*d^2*x^2*e^c - 2*I*d*x*e^c - (2*I*d*x*e^(3*c) - 2*I*e^(3*c))*e^(2*d*x) + 2*(d^2*x^2*e^(2*c) - 3*d*x*e^(2*c) + e^(2*c))*e^(d*x) - 2*(d*x + 1)*e^(-d*x) - 2*I*e^c)/(a*d^2*e^(d*x + 2*c) - I*a*d^2*e^c) - 8*log((e^(d*x + c) - I)*e^(-c))/(a*d^2)) + 1/2*e^3*(2*(d*x + c)/(a*d) + (-5*I*e^(-d*x - c) + 1)/((I*a*e^(-d*x - c) + a*e^(-2*d*x - 2*c))*d) - I*e^(-d*x - c)/(a*d)) + 1/4*(-I*d^4*f^3*x^4 - 12*I*d*e*f^2 - (4*I*d^4*e*f^2 + 10*I*d^3*f^3)*x^3 - 12*I*f^3 - (30*I*d^3*e*f^2 + 6*I*d^2*f^3)*x^2 - (12*I*d^2*e*f^2 + 12*I*d*f^3)*x - (2*I*d^3*f^3*x^3*e^(2*c) + (6*I*d^3*e*f^2 - 6*I*d^2*f^3)*x^2*e^(2*c) + (-12*I*d^2*e*f^2 + 12*I*d*f^3)*x*e^(2*c) + (12*I*d*e*f^2 - 12*I*f^3)*e^(2*c))*e^(2*d*x) + (d^4*f^3*x^4*e^c + 2*(2*d^4*e*f^2 - d^3*f^3)*x^3*e^c - 6*(d^3*e*f^2 - d^2*f^3)*x^2*e^c + 12*(d^2*e*f^2 - d*f^3)*x*e^c - 12*(d*e*f^2 - f^3)*e^c)*e^(d*x))/(a*d^4*e^(d*x + c) - I*a*d^4) + 12*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f^2/(a*d^3) + 6*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^3/(a*d^4) - 2*(d^3*f^3*x^3 + 3*d^3*e*f^2*x^2)/(a*d^4)","B",0
194,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e f {\left(\frac{4 \, x e^{\left(d x + c\right)}}{a d e^{\left(d x + c\right)} - i \, a d} - \frac{-2 i \, d^{2} x^{2} e^{c} - 2 i \, d x e^{c} - {\left(2 i \, d x e^{\left(3 \, c\right)} - 2 i \, e^{\left(3 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(d^{2} x^{2} e^{\left(2 \, c\right)} - 3 \, d x e^{\left(2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(d x + 1\right)} e^{\left(-d x\right)} - 2 i \, e^{c}}{a d^{2} e^{\left(d x + 2 \, c\right)} - i \, a d^{2} e^{c}} - \frac{8 \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + \frac{1}{12} \, f^{2} {\left(\frac{-4 i \, d^{3} x^{3} - 30 i \, d^{2} x^{2} - 12 i \, d x - {\left(6 i \, d^{2} x^{2} e^{\left(2 \, c\right)} - 12 i \, d x e^{\left(2 \, c\right)} + 12 i \, e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(2 \, d^{3} x^{3} e^{c} - 3 \, d^{2} x^{2} e^{c} + 6 \, d x e^{c} - 6 \, e^{c}\right)} e^{\left(d x\right)} - 12 i}{a d^{3} e^{\left(d x + c\right)} - i \, a d^{3}} + 48 i \, \int \frac{x}{a d e^{\left(d x + c\right)} - i \, a d}\,{d x}\right)} + \frac{1}{2} \, e^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{a d} + \frac{-5 i \, e^{\left(-d x - c\right)} + 1}{{\left(i \, a e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{i \, e^{\left(-d x - c\right)}}{a d}\right)}"," ",0,"-1/2*e*f*(4*x*e^(d*x + c)/(a*d*e^(d*x + c) - I*a*d) - (-2*I*d^2*x^2*e^c - 2*I*d*x*e^c - (2*I*d*x*e^(3*c) - 2*I*e^(3*c))*e^(2*d*x) + 2*(d^2*x^2*e^(2*c) - 3*d*x*e^(2*c) + e^(2*c))*e^(d*x) - 2*(d*x + 1)*e^(-d*x) - 2*I*e^c)/(a*d^2*e^(d*x + 2*c) - I*a*d^2*e^c) - 8*log((e^(d*x + c) - I)*e^(-c))/(a*d^2)) + 1/12*f^2*((-4*I*d^3*x^3 - 30*I*d^2*x^2 - 12*I*d*x - (6*I*d^2*x^2*e^(2*c) - 12*I*d*x*e^(2*c) + 12*I*e^(2*c))*e^(2*d*x) + 2*(2*d^3*x^3*e^c - 3*d^2*x^2*e^c + 6*d*x*e^c - 6*e^c)*e^(d*x) - 12*I)/(a*d^3*e^(d*x + c) - I*a*d^3) + 48*I*integrate(x/(a*d*e^(d*x + c) - I*a*d), x)) + 1/2*e^2*(2*(d*x + c)/(a*d) + (-5*I*e^(-d*x - c) + 1)/((I*a*e^(-d*x - c) + a*e^(-2*d*x - 2*c))*d) - I*e^(-d*x - c)/(a*d))","F",0
195,1,240,0,0.465779," ","integrate((f*x+e)*sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{4} \, f {\left(\frac{4 \, x e^{\left(d x + c\right)}}{a d e^{\left(d x + c\right)} - i \, a d} - \frac{-2 i \, d^{2} x^{2} e^{c} - 2 i \, d x e^{c} - {\left(2 i \, d x e^{\left(3 \, c\right)} - 2 i \, e^{\left(3 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(d^{2} x^{2} e^{\left(2 \, c\right)} - 3 \, d x e^{\left(2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(d x + 1\right)} e^{\left(-d x\right)} - 2 i \, e^{c}}{a d^{2} e^{\left(d x + 2 \, c\right)} - i \, a d^{2} e^{c}} - \frac{8 \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + \frac{1}{2} \, e {\left(\frac{2 \, {\left(d x + c\right)}}{a d} + \frac{-5 i \, e^{\left(-d x - c\right)} + 1}{{\left(i \, a e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{i \, e^{\left(-d x - c\right)}}{a d}\right)}"," ",0,"-1/4*f*(4*x*e^(d*x + c)/(a*d*e^(d*x + c) - I*a*d) - (-2*I*d^2*x^2*e^c - 2*I*d*x*e^c - (2*I*d*x*e^(3*c) - 2*I*e^(3*c))*e^(2*d*x) + 2*(d^2*x^2*e^(2*c) - 3*d*x*e^(2*c) + e^(2*c))*e^(d*x) - 2*(d*x + 1)*e^(-d*x) - 2*I*e^c)/(a*d^2*e^(d*x + 2*c) - I*a*d^2*e^c) - 8*log((e^(d*x + c) - I)*e^(-c))/(a*d^2)) + 1/2*e*(2*(d*x + c)/(a*d) + (-5*I*e^(-d*x - c) + 1)/((I*a*e^(-d*x - c) + a*e^(-2*d*x - 2*c))*d) - I*e^(-d*x - c)/(a*d))","B",0
196,1,74,0,0.456470," ","integrate(sinh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{a d} + \frac{-5 i \, e^{\left(-d x - c\right)} + 1}{2 \, {\left(i \, a e^{\left(-d x - c\right)} + a e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{i \, e^{\left(-d x - c\right)}}{2 \, a d}"," ",0,"(d*x + c)/(a*d) + 1/2*(-5*I*e^(-d*x - c) + 1)/((I*a*e^(-d*x - c) + a*e^(-2*d*x - 2*c))*d) - 1/2*I*e^(-d*x - c)/(a*d)","A",0
197,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-2 i \, f \int \frac{1}{-i \, a d f^{2} x^{2} - 2 i \, a d e f x - i \, a d e^{2} + {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{i \, e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, a f} + \frac{i \, e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, a f} - \frac{2 i}{-i \, a d f x - i \, a d e + {\left(a d f x e^{c} + a d e e^{c}\right)} e^{\left(d x\right)}} + \frac{\log\left(f x + e\right)}{a f}"," ",0,"-2*I*f*integrate(1/(-I*a*d*f^2*x^2 - 2*I*a*d*e*f*x - I*a*d*e^2 + (a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) - 1/2*I*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(a*f) + 1/2*I*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(a*f) - 2*I/(-I*a*d*f*x - I*a*d*e + (a*d*f*x*e^c + a*d*e*e^c)*e^(d*x)) + log(f*x + e)/(a*f)","F",0
198,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-4 i \, f \int \frac{1}{-i \, a d f^{3} x^{3} - 3 i \, a d e f^{2} x^{2} - 3 i \, a d e^{2} f x - i \, a d e^{3} + {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{4 i \, d f x + 4 i \, d e - 4 \, {\left(d f x e^{c} + d e e^{c}\right)} e^{\left(d x\right)} - 8 i \, f}{4 \, {\left(-i \, a d f^{3} x^{2} - 2 i \, a d e f^{2} x - i \, a d e^{2} f + {\left(a d f^{3} x^{2} e^{c} + 2 \, a d e f^{2} x e^{c} + a d e^{2} f e^{c}\right)} e^{\left(d x\right)}\right)}} - \frac{i \, e^{\left(-c + \frac{d e}{f}\right)} E_{2}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, {\left(f x + e\right)} a f} + \frac{i \, e^{\left(c - \frac{d e}{f}\right)} E_{2}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, {\left(f x + e\right)} a f}"," ",0,"-4*I*f*integrate(1/(-I*a*d*f^3*x^3 - 3*I*a*d*e*f^2*x^2 - 3*I*a*d*e^2*f*x - I*a*d*e^3 + (a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) + 1/4*(4*I*d*f*x + 4*I*d*e - 4*(d*f*x*e^c + d*e*e^c)*e^(d*x) - 8*I*f)/(-I*a*d*f^3*x^2 - 2*I*a*d*e*f^2*x - I*a*d*e^2*f + (a*d*f^3*x^2*e^c + 2*a*d*e*f^2*x*e^c + a*d*e^2*f*e^c)*e^(d*x)) - 1/2*I*e^(-c + d*e/f)*exp_integral_e(2, (f*x + e)*d/f)/((f*x + e)*a*f) + 1/2*I*e^(c - d*e/f)*exp_integral_e(2, -(f*x + e)*d/f)/((f*x + e)*a*f)","F",0
199,-2,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
200,-2,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
201,-2,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
202,1,98,0,0.396974," ","integrate(sinh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{3 i \, {\left(d x + c\right)}}{2 \, a d} + \frac{3 i \, e^{\left(-d x - c\right)} + 20 \, e^{\left(-2 \, d x - 2 \, c\right)} + 1}{8 \, {\left(i \, a e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)}\right)} d} + \frac{i \, {\left(-4 i \, e^{\left(-d x - c\right)} + e^{\left(-2 \, d x - 2 \, c\right)}\right)}}{8 \, a d}"," ",0,"3/2*I*(d*x + c)/(a*d) + 1/8*(3*I*e^(-d*x - c) + 20*e^(-2*d*x - 2*c) + 1)/((I*a*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c))*d) + 1/8*I*(-4*I*e^(-d*x - c) + e^(-2*d*x - 2*c))/(a*d)","A",0
203,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
204,-2,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
205,1,580,0,0.701231," ","integrate((f*x+e)^3*csch(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{2}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}\right)} - \frac{6 i \, e^{2} f x}{a d} - \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{6 i \, e^{2} f \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, {\left(f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x\right)}}{a d e^{\left(d x + c\right)} - i \, a d} - \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{12 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{6 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \frac{2 i \, d^{3} f^{3} x^{3} + 6 i \, d^{3} e f^{2} x^{2}}{a d^{4}}"," ",0,"-e^3*(log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d) - 2/((a*e^(-d*x - c) + I*a)*d)) - 6*I*e^2*f*x/(a*d) - 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) + 6*I*e^2*f*log(I*e^(d*x + c) + 1)/(a*d^2) + 2*(f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x)/(a*d*e^(d*x + c) - I*a*d) - 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) + 12*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f^2/(a*d^3) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) + 6*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^3/(a*d^4) - (2*I*d^3*f^3*x^3 + 6*I*d^3*e*f^2*x^2)/(a*d^4)","B",0
206,1,347,0,0.762496," ","integrate((f*x+e)^2*csch(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{2}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}\right)} - \frac{2 i \, f^{2} x^{2}}{a d} - \frac{4 i \, e f x}{a d} + \frac{2 \, {\left(f^{2} x^{2} + 2 \, e f x\right)}}{a d e^{\left(d x + c\right)} - i \, a d} - \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{4 i \, e f \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{4 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} f^{2}}{a d^{3}}"," ",0,"-e^2*(log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d) - 2/((a*e^(-d*x - c) + I*a)*d)) - 2*I*f^2*x^2/(a*d) - 4*I*e*f*x/(a*d) + 2*(f^2*x^2 + 2*e*f*x)/(a*d*e^(d*x + c) - I*a*d) - 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) + 4*I*e*f*log(I*e^(d*x + c) + 1)/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) + 4*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*f^2/(a*d^3)","A",0
207,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, f {\left(\frac{x e^{\left(d x + c\right)}}{i \, a d e^{\left(d x + c\right)} + a d} + \frac{i \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}} + \int \frac{x}{2 \, {\left(a e^{\left(d x + c\right)} + a\right)}}\,{d x} + \int \frac{x}{2 \, {\left(a e^{\left(d x + c\right)} - a\right)}}\,{d x}\right)} - e {\left(\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{2}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}\right)}"," ",0,"2*f*(x*e^(d*x + c)/(I*a*d*e^(d*x + c) + a*d) + I*log((e^(d*x + c) - I)*e^(-c))/(a*d^2) + integrate(1/2*x/(a*e^(d*x + c) + a), x) + integrate(1/2*x/(a*e^(d*x + c) - a), x)) - e*(log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d) - 2/((a*e^(-d*x - c) + I*a)*d))","F",0
208,1,62,0,0.497540," ","integrate(csch(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} + \frac{2}{{\left(a e^{\left(-d x - c\right)} + i \, a\right)} d}"," ",0,"-log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d) + 2/((a*e^(-d*x - c) + I*a)*d)","A",0
209,0,0,0,0.000000," ","integrate(csch(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, f \int \frac{1}{-i \, a d f^{2} x^{2} - 2 i \, a d e f x - i \, a d e^{2} + {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{2}{-i \, a d f x - i \, a d e + {\left(a d f x e^{c} + a d e e^{c}\right)} e^{\left(d x\right)}} + 2 \, \int \frac{1}{2 \, {\left(a f x + a e + {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 2 \, \int -\frac{1}{2 \, {\left(a f x + a e - {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"2*f*integrate(1/(-I*a*d*f^2*x^2 - 2*I*a*d*e*f*x - I*a*d*e^2 + (a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) + 2/(-I*a*d*f*x - I*a*d*e + (a*d*f*x*e^c + a*d*e*e^c)*e^(d*x)) + 2*integrate(1/2/(a*f*x + a*e + (a*f*x*e^c + a*e*e^c)*e^(d*x)), x) + 2*integrate(-1/2/(a*f*x + a*e - (a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
210,0,0,0,0.000000," ","integrate(csch(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","4 \, f \int \frac{1}{-i \, a d f^{3} x^{3} - 3 i \, a d e f^{2} x^{2} - 3 i \, a d e^{2} f x - i \, a d e^{3} + {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{2}{-i \, a d f^{2} x^{2} - 2 i \, a d e f x - i \, a d e^{2} + {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}} + 2 \, \int \frac{1}{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x + a e^{2} + {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c} + a e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 2 \, \int -\frac{1}{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x + a e^{2} - {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c} + a e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"4*f*integrate(1/(-I*a*d*f^3*x^3 - 3*I*a*d*e*f^2*x^2 - 3*I*a*d*e^2*f*x - I*a*d*e^3 + (a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) + 2/(-I*a*d*f^2*x^2 - 2*I*a*d*e*f*x - I*a*d*e^2 + (a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)) + 2*integrate(1/2/(a*f^2*x^2 + 2*a*e*f*x + a*e^2 + (a*f^2*x^2*e^c + 2*a*e*f*x*e^c + a*e^2*e^c)*e^(d*x)), x) + 2*integrate(-1/2/(a*f^2*x^2 + 2*a*e*f*x + a*e^2 - (a*f^2*x^2*e^c + 2*a*e*f*x*e^c + a*e^2*e^c)*e^(d*x)), x)","F",0
211,1,938,0,1.070532," ","integrate((f*x+e)^3*csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{4 \, {\left(e^{\left(-d x - c\right)} - i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 i\right)}}{{\left(2 \, a e^{\left(-d x - c\right)} - 2 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 2 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 2 i \, a\right)} d} - \frac{i \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} - \frac{12 \, e^{2} f x}{a d} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{6 \, e^{2} f \log\left(e^{\left(d x + c\right)} - i\right)}{a d^{2}} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} + \frac{4 i \, f^{3} x^{3} + 12 i \, e f^{2} x^{2} + 12 i \, e^{2} f x - {\left(2 i \, f^{3} x^{3} e^{\left(2 \, c\right)} + 6 i \, e f^{2} x^{2} e^{\left(2 \, c\right)} + 6 i \, e^{2} f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(f^{3} x^{3} e^{c} + 3 \, e f^{2} x^{2} e^{c} + 3 \, e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a d e^{\left(3 \, d x + 3 \, c\right)} - i \, a d e^{\left(2 \, d x + 2 \, c\right)} - a d e^{\left(d x + c\right)} + i \, a d} + \frac{12 \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} + \frac{i \, {\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \frac{i \, {\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{6 \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(3 i \, d e^{2} f + 6 \, e f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a d^{3}} - \frac{{\left(3 i \, d e^{2} f - 6 \, e f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(3 i \, d e f^{2} + 3 \, f^{3}\right)}}{a d^{4}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(3 i \, d e f^{2} - 3 \, f^{3}\right)}}{a d^{4}} - \frac{i \, d^{4} f^{3} x^{4} + {\left(4 i \, d e f^{2} + 4 \, f^{3}\right)} d^{3} x^{3} + {\left(6 i \, d^{2} e^{2} f + 12 \, d e f^{2}\right)} d^{2} x^{2}}{4 \, a d^{4}} + \frac{i \, d^{4} f^{3} x^{4} + {\left(4 i \, d e f^{2} - 4 \, f^{3}\right)} d^{3} x^{3} + {\left(6 i \, d^{2} e^{2} f - 12 \, d e f^{2}\right)} d^{2} x^{2}}{4 \, a d^{4}} - \frac{2 \, {\left(d^{3} f^{3} x^{3} + 3 \, d^{3} e f^{2} x^{2}\right)}}{a d^{4}}"," ",0,"-e^3*(4*(e^(-d*x - c) - I*e^(-2*d*x - 2*c) + 2*I)/((2*a*e^(-d*x - c) - 2*I*a*e^(-2*d*x - 2*c) - 2*a*e^(-3*d*x - 3*c) + 2*I*a)*d) - I*log(e^(-d*x - c) + 1)/(a*d) + I*log(e^(-d*x - c) - 1)/(a*d)) - 12*e^2*f*x/(a*d) + 3*e^2*f*log(e^(d*x + c) + 1)/(a*d^2) + 6*e^2*f*log(e^(d*x + c) - I)/(a*d^2) + 3*e^2*f*log(e^(d*x + c) - 1)/(a*d^2) + (4*I*f^3*x^3 + 12*I*e*f^2*x^2 + 12*I*e^2*f*x - (2*I*f^3*x^3*e^(2*c) + 6*I*e*f^2*x^2*e^(2*c) + 6*I*e^2*f*x*e^(2*c))*e^(2*d*x) - 2*(f^3*x^3*e^c + 3*e*f^2*x^2*e^c + 3*e^2*f*x*e^c)*e^(d*x))/(a*d*e^(3*d*x + 3*c) - I*a*d*e^(2*d*x + 2*c) - a*d*e^(d*x + c) + I*a*d) + 12*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f^2/(a*d^3) + I*(d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) - I*(d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) + 6*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^3/(a*d^4) + (3*I*d*e^2*f + 6*e*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a*d^3) - (3*I*d*e^2*f - 6*e*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a*d^3) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(3*I*d*e*f^2 + 3*f^3)/(a*d^4) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(3*I*d*e*f^2 - 3*f^3)/(a*d^4) - 1/4*(I*d^4*f^3*x^4 + (4*I*d*e*f^2 + 4*f^3)*d^3*x^3 + (6*I*d^2*e^2*f + 12*d*e*f^2)*d^2*x^2)/(a*d^4) + 1/4*(I*d^4*f^3*x^4 + (4*I*d*e*f^2 - 4*f^3)*d^3*x^3 + (6*I*d^2*e^2*f - 12*d*e*f^2)*d^2*x^2)/(a*d^4) - 2*(d^3*f^3*x^3 + 3*d^3*e*f^2*x^2)/(a*d^4)","B",0
212,1,603,0,0.654482," ","integrate((f*x+e)^2*csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{4 \, {\left(e^{\left(-d x - c\right)} - i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 i\right)}}{{\left(2 \, a e^{\left(-d x - c\right)} - 2 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 2 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 2 i \, a\right)} d} - \frac{i \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} - \frac{2 \, f^{2} x^{2}}{a d} - \frac{8 \, e f x}{a d} + \frac{4 i \, f^{2} x^{2} + 8 i \, e f x - {\left(2 i \, f^{2} x^{2} e^{\left(2 \, c\right)} + 4 i \, e f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(f^{2} x^{2} e^{c} + 2 \, e f x e^{c}\right)} e^{\left(d x\right)}}{a d e^{\left(3 \, d x + 3 \, c\right)} - i \, a d e^{\left(2 \, d x + 2 \, c\right)} - a d e^{\left(d x + c\right)} + i \, a d} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{4 \, e f \log\left(e^{\left(d x + c\right)} - i\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} + \frac{i \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \frac{i \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{4 \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} f^{2}}{a d^{3}} + \frac{{\left(2 i \, d e f + 2 \, f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a d^{3}} - \frac{{\left(2 i \, d e f - 2 \, f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a d^{3}} - \frac{i \, d^{3} f^{2} x^{3} + {\left(3 i \, d e f + 3 \, f^{2}\right)} d^{2} x^{2}}{3 \, a d^{3}} + \frac{i \, d^{3} f^{2} x^{3} + {\left(3 i \, d e f - 3 \, f^{2}\right)} d^{2} x^{2}}{3 \, a d^{3}}"," ",0,"-e^2*(4*(e^(-d*x - c) - I*e^(-2*d*x - 2*c) + 2*I)/((2*a*e^(-d*x - c) - 2*I*a*e^(-2*d*x - 2*c) - 2*a*e^(-3*d*x - 3*c) + 2*I*a)*d) - I*log(e^(-d*x - c) + 1)/(a*d) + I*log(e^(-d*x - c) - 1)/(a*d)) - 2*f^2*x^2/(a*d) - 8*e*f*x/(a*d) + (4*I*f^2*x^2 + 8*I*e*f*x - (2*I*f^2*x^2*e^(2*c) + 4*I*e*f*x*e^(2*c))*e^(2*d*x) - 2*(f^2*x^2*e^c + 2*e*f*x*e^c)*e^(d*x))/(a*d*e^(3*d*x + 3*c) - I*a*d*e^(2*d*x + 2*c) - a*d*e^(d*x + c) + I*a*d) + 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 4*e*f*log(e^(d*x + c) - I)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) + I*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) - I*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) + 4*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*f^2/(a*d^3) + (2*I*d*e*f + 2*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a*d^3) - (2*I*d*e*f - 2*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a*d^3) - 1/3*(I*d^3*f^2*x^3 + (3*I*d*e*f + 3*f^2)*d^2*x^2)/(a*d^3) + 1/3*(I*d^3*f^2*x^3 + (3*I*d*e*f - 3*f^2)*d^2*x^2)/(a*d^3)","B",0
213,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(4 i \, d \int \frac{x}{4 \, {\left(a d e^{\left(d x + c\right)} + a d\right)}}\,{d x} + 4 i \, d \int \frac{x}{4 \, {\left(a d e^{\left(d x + c\right)} - a d\right)}}\,{d x} + \frac{4 \, {\left(x e^{\left(3 \, d x + 3 \, c\right)} - i \, x\right)}}{2 \, a d e^{\left(3 \, d x + 3 \, c\right)} - 2 i \, a d e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a d e^{\left(d x + c\right)} + 2 i \, a d} + \frac{2 \, {\left(d x + c\right)}}{a d^{2}} - \frac{2 \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}}\right)} f - e {\left(\frac{4 \, {\left(e^{\left(-d x - c\right)} - i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 i\right)}}{{\left(2 \, a e^{\left(-d x - c\right)} - 2 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 2 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 2 i \, a\right)} d} - \frac{i \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)}"," ",0,"-(4*I*d*integrate(1/4*x/(a*d*e^(d*x + c) + a*d), x) + 4*I*d*integrate(1/4*x/(a*d*e^(d*x + c) - a*d), x) + 4*(x*e^(3*d*x + 3*c) - I*x)/(2*a*d*e^(3*d*x + 3*c) - 2*I*a*d*e^(2*d*x + 2*c) - 2*a*d*e^(d*x + c) + 2*I*a*d) + 2*(d*x + c)/(a*d^2) - 2*log((e^(d*x + c) - I)*e^(-c))/(a*d^2) - log(e^(d*x + c) + 1)/(a*d^2) - log(e^(d*x + c) - 1)/(a*d^2))*f - e*(4*(e^(-d*x - c) - I*e^(-2*d*x - 2*c) + 2*I)/((2*a*e^(-d*x - c) - 2*I*a*e^(-2*d*x - 2*c) - 2*a*e^(-3*d*x - 3*c) + 2*I*a)*d) - I*log(e^(-d*x - c) + 1)/(a*d) + I*log(e^(-d*x - c) - 1)/(a*d))","F",0
214,1,110,0,0.610377," ","integrate(csch(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{4 \, {\left(e^{\left(-d x - c\right)} - i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 i\right)}}{{\left(2 \, a e^{\left(-d x - c\right)} - 2 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 2 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 2 i \, a\right)} d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{i \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}"," ",0,"-4*(e^(-d*x - c) - I*e^(-2*d*x - 2*c) + 2*I)/((2*a*e^(-d*x - c) - 2*I*a*e^(-2*d*x - 2*c) - 2*a*e^(-3*d*x - 3*c) + 2*I*a)*d) + I*log(e^(-d*x - c) + 1)/(a*d) - I*log(e^(-d*x - c) - 1)/(a*d)","B",0
215,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-4 i \, f \int \frac{1}{-2 i \, a d f^{2} x^{2} - 4 i \, a d e f x - 2 i \, a d e^{2} + 2 \, {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{4 \, {\left(i \, e^{\left(2 \, d x + 2 \, c\right)} + e^{\left(d x + c\right)} - 2 i\right)}}{2 i \, a d f x + 2 i \, a d e + 2 \, {\left(a d f x e^{\left(3 \, c\right)} + a d e e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(-2 i \, a d f x e^{\left(2 \, c\right)} - 2 i \, a d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a d f x e^{c} + a d e e^{c}\right)} e^{\left(d x\right)}} - 4 \, \int -\frac{i \, d f x + i \, d e + f}{4 \, {\left(a d f^{2} x^{2} + 2 \, a d e f x + a d e^{2} - {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 4 \, \int \frac{i \, d f x + i \, d e - f}{4 \, {\left(a d f^{2} x^{2} + 2 \, a d e f x + a d e^{2} + {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-4*I*f*integrate(1/(-2*I*a*d*f^2*x^2 - 4*I*a*d*e*f*x - 2*I*a*d*e^2 + 2*(a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) - 4*(I*e^(2*d*x + 2*c) + e^(d*x + c) - 2*I)/(2*I*a*d*f*x + 2*I*a*d*e + 2*(a*d*f*x*e^(3*c) + a*d*e*e^(3*c))*e^(3*d*x) + (-2*I*a*d*f*x*e^(2*c) - 2*I*a*d*e*e^(2*c))*e^(2*d*x) - 2*(a*d*f*x*e^c + a*d*e*e^c)*e^(d*x)) - 4*integrate(-1/4*(I*d*f*x + I*d*e + f)/(a*d*f^2*x^2 + 2*a*d*e*f*x + a*d*e^2 - (a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) - 4*integrate(1/4*(I*d*f*x + I*d*e - f)/(a*d*f^2*x^2 + 2*a*d*e*f*x + a*d*e^2 + (a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x)","F",0
216,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-4 i \, f \int \frac{1}{-i \, a d f^{3} x^{3} - 3 i \, a d e f^{2} x^{2} - 3 i \, a d e^{2} f x - i \, a d e^{3} + {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{4 \, {\left(i \, e^{\left(2 \, d x + 2 \, c\right)} + e^{\left(d x + c\right)} - 2 i\right)}}{2 i \, a d f^{2} x^{2} + 4 i \, a d e f x + 2 i \, a d e^{2} + 2 \, {\left(a d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a d e f x e^{\left(3 \, c\right)} + a d e^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(-2 i \, a d f^{2} x^{2} e^{\left(2 \, c\right)} - 4 i \, a d e f x e^{\left(2 \, c\right)} - 2 i \, a d e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}} - 4 \, \int -\frac{i \, d f x + i \, d e + 2 \, f}{4 \, {\left(a d f^{3} x^{3} + 3 \, a d e f^{2} x^{2} + 3 \, a d e^{2} f x + a d e^{3} - {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 4 \, \int \frac{i \, d f x + i \, d e - 2 \, f}{4 \, {\left(a d f^{3} x^{3} + 3 \, a d e f^{2} x^{2} + 3 \, a d e^{2} f x + a d e^{3} + {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-4*I*f*integrate(1/(-I*a*d*f^3*x^3 - 3*I*a*d*e*f^2*x^2 - 3*I*a*d*e^2*f*x - I*a*d*e^3 + (a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) - 4*(I*e^(2*d*x + 2*c) + e^(d*x + c) - 2*I)/(2*I*a*d*f^2*x^2 + 4*I*a*d*e*f*x + 2*I*a*d*e^2 + 2*(a*d*f^2*x^2*e^(3*c) + 2*a*d*e*f*x*e^(3*c) + a*d*e^2*e^(3*c))*e^(3*d*x) + (-2*I*a*d*f^2*x^2*e^(2*c) - 4*I*a*d*e*f*x*e^(2*c) - 2*I*a*d*e^2*e^(2*c))*e^(2*d*x) - 2*(a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)) - 4*integrate(-1/4*(I*d*f*x + I*d*e + 2*f)/(a*d*f^3*x^3 + 3*a*d*e*f^2*x^2 + 3*a*d*e^2*f*x + a*d*e^3 - (a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) - 4*integrate(1/4*(I*d*f*x + I*d*e - 2*f)/(a*d*f^3*x^3 + 3*a*d*e*f^2*x^2 + 3*a*d*e^2*f*x + a*d*e^3 + (a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x)","F",0
217,1,1316,0,0.928874," ","integrate((f*x+e)^3*csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{16 \, {\left(-i \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4\right)}}{{\left(8 \, a e^{\left(-d x - c\right)} - 16 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 16 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 8 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 8 \, a e^{\left(-5 \, d x - 5 \, c\right)} + 8 i \, a\right)} d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + \frac{6 i \, e^{2} f x}{a d} - \frac{6 i \, e^{2} f \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{a d^{2}} - \frac{4 \, d f^{3} x^{3} + 12 \, d e f^{2} x^{2} + 12 \, d e^{2} f x + 3 \, {\left(d f^{3} x^{3} e^{\left(4 \, c\right)} + e^{2} f e^{\left(4 \, c\right)} + {\left(3 \, d e f^{2} + f^{3}\right)} x^{2} e^{\left(4 \, c\right)} + {\left(3 \, d e^{2} f + 2 \, e f^{2}\right)} x e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(-3 i \, d f^{3} x^{3} e^{\left(3 \, c\right)} - 3 i \, e^{2} f e^{\left(3 \, c\right)} + {\left(-9 i \, d e f^{2} - 3 i \, f^{3}\right)} x^{2} e^{\left(3 \, c\right)} + {\left(-9 i \, d e^{2} f - 6 i \, e f^{2}\right)} x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, d f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, e^{2} f e^{\left(2 \, c\right)} + 3 \, {\left(5 \, d e f^{2} + f^{3}\right)} x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(5 \, d e^{2} f + 2 \, e f^{2}\right)} x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(i \, d f^{3} x^{3} e^{c} + 3 i \, e^{2} f e^{c} + {\left(3 i \, d e f^{2} + 3 i \, f^{3}\right)} x^{2} e^{c} + {\left(3 i \, d e^{2} f + 6 i \, e f^{2}\right)} x e^{c}\right)} e^{\left(d x\right)}}{a d^{2} e^{\left(5 \, d x + 5 \, c\right)} - i \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} + 2 i \, a d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a d^{2} e^{\left(d x + c\right)} - i \, a d^{2}} - \frac{12 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{2 \, a d^{4}} - \frac{3 \, {\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{2 \, a d^{4}} - \frac{6 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(3 i \, d e^{2} f + 3 \, e f^{2}\right)} x}{a d^{2}} + \frac{{\left(3 i \, d e^{2} f - 3 \, e f^{2}\right)} x}{a d^{2}} - \frac{{\left(3 i \, d e^{2} f + 3 \, e f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{3}} - \frac{{\left(3 i \, d e^{2} f - 3 \, e f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{3}} - \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(3 \, d e f^{2} + 2 i \, f^{3}\right)}}{2 \, a d^{4}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(3 \, d e f^{2} - 2 i \, f^{3}\right)}}{2 \, a d^{4}} + \frac{{\left(9 \, d^{2} e^{2} f - 12 i \, d e f^{2} - 6 \, f^{3}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{2 \, a d^{4}} - \frac{{\left(9 \, d^{2} e^{2} f + 12 i \, d e f^{2} - 6 \, f^{3}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{2 \, a d^{4}} + \frac{3 \, d^{4} f^{3} x^{4} + 4 \, {\left(3 \, d e f^{2} + 2 i \, f^{3}\right)} d^{3} x^{3} + {\left(18 \, d^{2} e^{2} f + 24 i \, d e f^{2} - 12 \, f^{3}\right)} d^{2} x^{2}}{8 \, a d^{4}} - \frac{3 \, d^{4} f^{3} x^{4} + 4 \, {\left(3 \, d e f^{2} - 2 i \, f^{3}\right)} d^{3} x^{3} + {\left(18 \, d^{2} e^{2} f - 24 i \, d e f^{2} - 12 \, f^{3}\right)} d^{2} x^{2}}{8 \, a d^{4}} + \frac{2 i \, d^{3} f^{3} x^{3} + 6 i \, d^{3} e f^{2} x^{2}}{a d^{4}}"," ",0,"-1/2*e^3*(16*(-I*e^(-d*x - c) - 5*e^(-2*d*x - 2*c) + 3*I*e^(-3*d*x - 3*c) + 3*e^(-4*d*x - 4*c) + 4)/((8*a*e^(-d*x - c) - 16*I*a*e^(-2*d*x - 2*c) - 16*a*e^(-3*d*x - 3*c) + 8*I*a*e^(-4*d*x - 4*c) + 8*a*e^(-5*d*x - 5*c) + 8*I*a)*d) - 3*log(e^(-d*x - c) + 1)/(a*d) + 3*log(e^(-d*x - c) - 1)/(a*d)) + 6*I*e^2*f*x/(a*d) - 6*I*e^2*f*log(I*e^(d*x + c) + 1)/(a*d^2) - (4*d*f^3*x^3 + 12*d*e*f^2*x^2 + 12*d*e^2*f*x + 3*(d*f^3*x^3*e^(4*c) + e^2*f*e^(4*c) + (3*d*e*f^2 + f^3)*x^2*e^(4*c) + (3*d*e^2*f + 2*e*f^2)*x*e^(4*c))*e^(4*d*x) + (-3*I*d*f^3*x^3*e^(3*c) - 3*I*e^2*f*e^(3*c) + (-9*I*d*e*f^2 - 3*I*f^3)*x^2*e^(3*c) + (-9*I*d*e^2*f - 6*I*e*f^2)*x*e^(3*c))*e^(3*d*x) - (5*d*f^3*x^3*e^(2*c) + 3*e^2*f*e^(2*c) + 3*(5*d*e*f^2 + f^3)*x^2*e^(2*c) + 3*(5*d*e^2*f + 2*e*f^2)*x*e^(2*c))*e^(2*d*x) + (I*d*f^3*x^3*e^c + 3*I*e^2*f*e^c + (3*I*d*e*f^2 + 3*I*f^3)*x^2*e^c + (3*I*d*e^2*f + 6*I*e*f^2)*x*e^c)*e^(d*x))/(a*d^2*e^(5*d*x + 5*c) - I*a*d^2*e^(4*d*x + 4*c) - 2*a*d^2*e^(3*d*x + 3*c) + 2*I*a*d^2*e^(2*d*x + 2*c) + a*d^2*e^(d*x + c) - I*a*d^2) - 12*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f^2/(a*d^3) + 3/2*(d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) - 3/2*(d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - 6*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^3/(a*d^4) + (3*I*d*e^2*f + 3*e*f^2)*x/(a*d^2) + (3*I*d*e^2*f - 3*e*f^2)*x/(a*d^2) - (3*I*d*e^2*f + 3*e*f^2)*log(e^(d*x + c) + 1)/(a*d^3) - (3*I*d*e^2*f - 3*e*f^2)*log(e^(d*x + c) - 1)/(a*d^3) - 3/2*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(3*d*e*f^2 + 2*I*f^3)/(a*d^4) + 3/2*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(3*d*e*f^2 - 2*I*f^3)/(a*d^4) + 1/2*(9*d^2*e^2*f - 12*I*d*e*f^2 - 6*f^3)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a*d^4) - 1/2*(9*d^2*e^2*f + 12*I*d*e*f^2 - 6*f^3)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a*d^4) + 1/8*(3*d^4*f^3*x^4 + 4*(3*d*e*f^2 + 2*I*f^3)*d^3*x^3 + (18*d^2*e^2*f + 24*I*d*e*f^2 - 12*f^3)*d^2*x^2)/(a*d^4) - 1/8*(3*d^4*f^3*x^4 + 4*(3*d*e*f^2 - 2*I*f^3)*d^3*x^3 + (18*d^2*e^2*f - 24*I*d*e*f^2 - 12*f^3)*d^2*x^2)/(a*d^4) + (2*I*d^3*f^3*x^3 + 6*I*d^3*e*f^2*x^2)/(a*d^4)","B",0
218,1,863,0,1.020908," ","integrate((f*x+e)^2*csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{16 \, {\left(-i \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4\right)}}{{\left(8 \, a e^{\left(-d x - c\right)} - 16 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 16 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 8 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 8 \, a e^{\left(-5 \, d x - 5 \, c\right)} + 8 i \, a\right)} d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + \frac{2 i \, f^{2} x^{2}}{a d} + \frac{4 i \, e f x}{a d} - \frac{4 \, d f^{2} x^{2} + 8 \, d e f x + {\left(3 \, d f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, e f e^{\left(4 \, c\right)} + 2 \, {\left(3 \, d e f + f^{2}\right)} x e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(-3 i \, d f^{2} x^{2} e^{\left(3 \, c\right)} - 2 i \, e f e^{\left(3 \, c\right)} + {\left(-6 i \, d e f - 2 i \, f^{2}\right)} x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, d f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, e f e^{\left(2 \, c\right)} + 2 \, {\left(5 \, d e f + f^{2}\right)} x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(i \, d f^{2} x^{2} e^{c} + 2 i \, e f e^{c} + {\left(2 i \, d e f + 2 i \, f^{2}\right)} x e^{c}\right)} e^{\left(d x\right)}}{a d^{2} e^{\left(5 \, d x + 5 \, c\right)} - i \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} + 2 i \, a d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a d^{2} e^{\left(d x + c\right)} - i \, a d^{2}} - \frac{4 i \, e f \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{2 \, a d^{3}} - \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{2 \, a d^{3}} - \frac{4 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} f^{2}}{a d^{3}} + \frac{{\left(2 i \, d e f + f^{2}\right)} x}{a d^{2}} + \frac{{\left(2 i \, d e f - f^{2}\right)} x}{a d^{2}} + \frac{{\left(3 \, d e f - 2 i \, f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a d^{3}} - \frac{{\left(3 \, d e f + 2 i \, f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a d^{3}} - \frac{{\left(2 i \, d e f + f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{3}} - \frac{{\left(2 i \, d e f - f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{3}} + \frac{d^{3} f^{2} x^{3} + {\left(3 \, d e f + 2 i \, f^{2}\right)} d^{2} x^{2}}{2 \, a d^{3}} - \frac{d^{3} f^{2} x^{3} + {\left(3 \, d e f - 2 i \, f^{2}\right)} d^{2} x^{2}}{2 \, a d^{3}}"," ",0,"-1/2*e^2*(16*(-I*e^(-d*x - c) - 5*e^(-2*d*x - 2*c) + 3*I*e^(-3*d*x - 3*c) + 3*e^(-4*d*x - 4*c) + 4)/((8*a*e^(-d*x - c) - 16*I*a*e^(-2*d*x - 2*c) - 16*a*e^(-3*d*x - 3*c) + 8*I*a*e^(-4*d*x - 4*c) + 8*a*e^(-5*d*x - 5*c) + 8*I*a)*d) - 3*log(e^(-d*x - c) + 1)/(a*d) + 3*log(e^(-d*x - c) - 1)/(a*d)) + 2*I*f^2*x^2/(a*d) + 4*I*e*f*x/(a*d) - (4*d*f^2*x^2 + 8*d*e*f*x + (3*d*f^2*x^2*e^(4*c) + 2*e*f*e^(4*c) + 2*(3*d*e*f + f^2)*x*e^(4*c))*e^(4*d*x) + (-3*I*d*f^2*x^2*e^(3*c) - 2*I*e*f*e^(3*c) + (-6*I*d*e*f - 2*I*f^2)*x*e^(3*c))*e^(3*d*x) - (5*d*f^2*x^2*e^(2*c) + 2*e*f*e^(2*c) + 2*(5*d*e*f + f^2)*x*e^(2*c))*e^(2*d*x) + (I*d*f^2*x^2*e^c + 2*I*e*f*e^c + (2*I*d*e*f + 2*I*f^2)*x*e^c)*e^(d*x))/(a*d^2*e^(5*d*x + 5*c) - I*a*d^2*e^(4*d*x + 4*c) - 2*a*d^2*e^(3*d*x + 3*c) + 2*I*a*d^2*e^(2*d*x + 2*c) + a*d^2*e^(d*x + c) - I*a*d^2) - 4*I*e*f*log(I*e^(d*x + c) + 1)/(a*d^2) + 3/2*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) - 3/2*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - 4*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*f^2/(a*d^3) + (2*I*d*e*f + f^2)*x/(a*d^2) + (2*I*d*e*f - f^2)*x/(a*d^2) + (3*d*e*f - 2*I*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a*d^3) - (3*d*e*f + 2*I*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a*d^3) - (2*I*d*e*f + f^2)*log(e^(d*x + c) + 1)/(a*d^3) - (2*I*d*e*f - f^2)*log(e^(d*x + c) - 1)/(a*d^3) + 1/2*(d^3*f^2*x^3 + (3*d*e*f + 2*I*f^2)*d^2*x^2)/(a*d^3) - 1/2*(d^3*f^2*x^3 + (3*d*e*f - 2*I*f^2)*d^2*x^2)/(a*d^3)","B",0
219,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(24 \, d \int \frac{x}{16 \, {\left(a d e^{\left(d x + c\right)} + a d\right)}}\,{d x} + 24 \, d \int \frac{x}{16 \, {\left(a d e^{\left(d x + c\right)} - a d\right)}}\,{d x} + \frac{8 \, {\left(2 \, d x e^{\left(5 \, d x + 5 \, c\right)} + 2 i \, d x + {\left(i \, d x e^{\left(4 \, c\right)} + i \, e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(d x e^{\left(3 \, c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(-i \, d x e^{\left(2 \, c\right)} - i \, e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(d x e^{c} - e^{c}\right)} e^{\left(d x\right)}\right)}}{8 i \, a d^{2} e^{\left(5 \, d x + 5 \, c\right)} + 8 \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 16 i \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} - 16 \, a d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 8 i \, a d^{2} e^{\left(d x + c\right)} + 8 \, a d^{2}} - \frac{2 i \, {\left(d x + c\right)}}{a d^{2}} + \frac{2 i \, \log\left({\left(e^{\left(d x + c\right)} - i\right)} e^{\left(-c\right)}\right)}{a d^{2}} + \frac{i \, \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{i \, \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}}\right)} f - \frac{1}{2} \, e {\left(\frac{16 \, {\left(-i \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4\right)}}{{\left(8 \, a e^{\left(-d x - c\right)} - 16 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 16 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 8 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 8 \, a e^{\left(-5 \, d x - 5 \, c\right)} + 8 i \, a\right)} d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)}"," ",0,"-(24*d*integrate(1/16*x/(a*d*e^(d*x + c) + a*d), x) + 24*d*integrate(1/16*x/(a*d*e^(d*x + c) - a*d), x) + 8*(2*d*x*e^(5*d*x + 5*c) + 2*I*d*x + (I*d*x*e^(4*c) + I*e^(4*c))*e^(4*d*x) - (d*x*e^(3*c) - e^(3*c))*e^(3*d*x) + (-I*d*x*e^(2*c) - I*e^(2*c))*e^(2*d*x) + (d*x*e^c - e^c)*e^(d*x))/(8*I*a*d^2*e^(5*d*x + 5*c) + 8*a*d^2*e^(4*d*x + 4*c) - 16*I*a*d^2*e^(3*d*x + 3*c) - 16*a*d^2*e^(2*d*x + 2*c) + 8*I*a*d^2*e^(d*x + c) + 8*a*d^2) - 2*I*(d*x + c)/(a*d^2) + 2*I*log((e^(d*x + c) - I)*e^(-c))/(a*d^2) + I*log(e^(d*x + c) + 1)/(a*d^2) + I*log(e^(d*x + c) - 1)/(a*d^2))*f - 1/2*e*(16*(-I*e^(-d*x - c) - 5*e^(-2*d*x - 2*c) + 3*I*e^(-3*d*x - 3*c) + 3*e^(-4*d*x - 4*c) + 4)/((8*a*e^(-d*x - c) - 16*I*a*e^(-2*d*x - 2*c) - 16*a*e^(-3*d*x - 3*c) + 8*I*a*e^(-4*d*x - 4*c) + 8*a*e^(-5*d*x - 5*c) + 8*I*a)*d) - 3*log(e^(-d*x - c) + 1)/(a*d) + 3*log(e^(-d*x - c) - 1)/(a*d))","F",0
220,1,158,0,0.322584," ","integrate(csch(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{8 \, {\left(-i \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4\right)}}{{\left(8 \, a e^{\left(-d x - c\right)} - 16 i \, a e^{\left(-2 \, d x - 2 \, c\right)} - 16 \, a e^{\left(-3 \, d x - 3 \, c\right)} + 8 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 8 \, a e^{\left(-5 \, d x - 5 \, c\right)} + 8 i \, a\right)} d} + \frac{3 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{2 \, a d} - \frac{3 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{2 \, a d}"," ",0,"-8*(-I*e^(-d*x - c) - 5*e^(-2*d*x - 2*c) + 3*I*e^(-3*d*x - 3*c) + 3*e^(-4*d*x - 4*c) + 4)/((8*a*e^(-d*x - c) - 16*I*a*e^(-2*d*x - 2*c) - 16*a*e^(-3*d*x - 3*c) + 8*I*a*e^(-4*d*x - 4*c) + 8*a*e^(-5*d*x - 5*c) + 8*I*a)*d) + 3/2*log(e^(-d*x - c) + 1)/(a*d) - 3/2*log(e^(-d*x - c) - 1)/(a*d)","A",0
221,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-8 \, f \int \frac{1}{-4 i \, a d f^{2} x^{2} - 8 i \, a d e f x - 4 i \, a d e^{2} + 4 \, {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{8 \, {\left(4 \, d f x + 4 \, d e + {\left(3 \, d f x e^{\left(4 \, c\right)} + {\left(3 \, d e - f\right)} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(-3 i \, d f x e^{\left(3 \, c\right)} + {\left(-3 i \, d e + i \, f\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, d f x e^{\left(2 \, c\right)} + {\left(5 \, d e - f\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(i \, d f x e^{c} + {\left(i \, d e - i \, f\right)} e^{c}\right)} e^{\left(d x\right)}\right)}}{-8 i \, a d^{2} f^{2} x^{2} - 16 i \, a d^{2} e f x - 8 i \, a d^{2} e^{2} + 8 \, {\left(a d^{2} f^{2} x^{2} e^{\left(5 \, c\right)} + 2 \, a d^{2} e f x e^{\left(5 \, c\right)} + a d^{2} e^{2} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-8 i \, a d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} - 16 i \, a d^{2} e f x e^{\left(4 \, c\right)} - 8 i \, a d^{2} e^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 16 \, {\left(a d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a d^{2} e f x e^{\left(3 \, c\right)} + a d^{2} e^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(16 i \, a d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 32 i \, a d^{2} e f x e^{\left(2 \, c\right)} + 16 i \, a d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 8 \, {\left(a d^{2} f^{2} x^{2} e^{c} + 2 \, a d^{2} e f x e^{c} + a d^{2} e^{2} e^{c}\right)} e^{\left(d x\right)}} - 8 \, \int \frac{3 \, d^{2} f^{2} x^{2} + 3 \, d^{2} e^{2} + 2 i \, d e f - 2 \, f^{2} + 2 \, {\left(3 \, d^{2} e f + i \, d f^{2}\right)} x}{16 \, {\left(a d^{2} f^{3} x^{3} + 3 \, a d^{2} e f^{2} x^{2} + 3 \, a d^{2} e^{2} f x + a d^{2} e^{3} + {\left(a d^{2} f^{3} x^{3} e^{c} + 3 \, a d^{2} e f^{2} x^{2} e^{c} + 3 \, a d^{2} e^{2} f x e^{c} + a d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 8 \, \int -\frac{3 \, d^{2} f^{2} x^{2} + 3 \, d^{2} e^{2} - 2 i \, d e f - 2 \, f^{2} + 2 \, {\left(3 \, d^{2} e f - i \, d f^{2}\right)} x}{16 \, {\left(a d^{2} f^{3} x^{3} + 3 \, a d^{2} e f^{2} x^{2} + 3 \, a d^{2} e^{2} f x + a d^{2} e^{3} - {\left(a d^{2} f^{3} x^{3} e^{c} + 3 \, a d^{2} e f^{2} x^{2} e^{c} + 3 \, a d^{2} e^{2} f x e^{c} + a d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-8*f*integrate(1/(-4*I*a*d*f^2*x^2 - 8*I*a*d*e*f*x - 4*I*a*d*e^2 + 4*(a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) - 8*(4*d*f*x + 4*d*e + (3*d*f*x*e^(4*c) + (3*d*e - f)*e^(4*c))*e^(4*d*x) + (-3*I*d*f*x*e^(3*c) + (-3*I*d*e + I*f)*e^(3*c))*e^(3*d*x) - (5*d*f*x*e^(2*c) + (5*d*e - f)*e^(2*c))*e^(2*d*x) + (I*d*f*x*e^c + (I*d*e - I*f)*e^c)*e^(d*x))/(-8*I*a*d^2*f^2*x^2 - 16*I*a*d^2*e*f*x - 8*I*a*d^2*e^2 + 8*(a*d^2*f^2*x^2*e^(5*c) + 2*a*d^2*e*f*x*e^(5*c) + a*d^2*e^2*e^(5*c))*e^(5*d*x) + (-8*I*a*d^2*f^2*x^2*e^(4*c) - 16*I*a*d^2*e*f*x*e^(4*c) - 8*I*a*d^2*e^2*e^(4*c))*e^(4*d*x) - 16*(a*d^2*f^2*x^2*e^(3*c) + 2*a*d^2*e*f*x*e^(3*c) + a*d^2*e^2*e^(3*c))*e^(3*d*x) + (16*I*a*d^2*f^2*x^2*e^(2*c) + 32*I*a*d^2*e*f*x*e^(2*c) + 16*I*a*d^2*e^2*e^(2*c))*e^(2*d*x) + 8*(a*d^2*f^2*x^2*e^c + 2*a*d^2*e*f*x*e^c + a*d^2*e^2*e^c)*e^(d*x)) - 8*integrate(1/16*(3*d^2*f^2*x^2 + 3*d^2*e^2 + 2*I*d*e*f - 2*f^2 + 2*(3*d^2*e*f + I*d*f^2)*x)/(a*d^2*f^3*x^3 + 3*a*d^2*e*f^2*x^2 + 3*a*d^2*e^2*f*x + a*d^2*e^3 + (a*d^2*f^3*x^3*e^c + 3*a*d^2*e*f^2*x^2*e^c + 3*a*d^2*e^2*f*x*e^c + a*d^2*e^3*e^c)*e^(d*x)), x) - 8*integrate(-1/16*(3*d^2*f^2*x^2 + 3*d^2*e^2 - 2*I*d*e*f - 2*f^2 + 2*(3*d^2*e*f - I*d*f^2)*x)/(a*d^2*f^3*x^3 + 3*a*d^2*e*f^2*x^2 + 3*a*d^2*e^2*f*x + a*d^2*e^3 - (a*d^2*f^3*x^3*e^c + 3*a*d^2*e*f^2*x^2*e^c + 3*a*d^2*e^2*f*x*e^c + a*d^2*e^3*e^c)*e^(d*x)), x)","F",0
222,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-8 \, f \int \frac{1}{-2 i \, a d f^{3} x^{3} - 6 i \, a d e f^{2} x^{2} - 6 i \, a d e^{2} f x - 2 i \, a d e^{3} + 2 \, {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{8 \, {\left(4 \, d f x + 4 \, d e + {\left(3 \, d f x e^{\left(4 \, c\right)} + {\left(3 \, d e - 2 \, f\right)} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(-3 i \, d f x e^{\left(3 \, c\right)} + {\left(-3 i \, d e + 2 i \, f\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(5 \, d f x e^{\left(2 \, c\right)} + {\left(5 \, d e - 2 \, f\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(i \, d f x e^{c} + {\left(i \, d e - 2 i \, f\right)} e^{c}\right)} e^{\left(d x\right)}\right)}}{-8 i \, a d^{2} f^{3} x^{3} - 24 i \, a d^{2} e f^{2} x^{2} - 24 i \, a d^{2} e^{2} f x - 8 i \, a d^{2} e^{3} + 8 \, {\left(a d^{2} f^{3} x^{3} e^{\left(5 \, c\right)} + 3 \, a d^{2} e f^{2} x^{2} e^{\left(5 \, c\right)} + 3 \, a d^{2} e^{2} f x e^{\left(5 \, c\right)} + a d^{2} e^{3} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-8 i \, a d^{2} f^{3} x^{3} e^{\left(4 \, c\right)} - 24 i \, a d^{2} e f^{2} x^{2} e^{\left(4 \, c\right)} - 24 i \, a d^{2} e^{2} f x e^{\left(4 \, c\right)} - 8 i \, a d^{2} e^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 16 \, {\left(a d^{2} f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, a d^{2} e f^{2} x^{2} e^{\left(3 \, c\right)} + 3 \, a d^{2} e^{2} f x e^{\left(3 \, c\right)} + a d^{2} e^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(16 i \, a d^{2} f^{3} x^{3} e^{\left(2 \, c\right)} + 48 i \, a d^{2} e f^{2} x^{2} e^{\left(2 \, c\right)} + 48 i \, a d^{2} e^{2} f x e^{\left(2 \, c\right)} + 16 i \, a d^{2} e^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 8 \, {\left(a d^{2} f^{3} x^{3} e^{c} + 3 \, a d^{2} e f^{2} x^{2} e^{c} + 3 \, a d^{2} e^{2} f x e^{c} + a d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}} - 8 \, \int \frac{3 \, d^{2} f^{2} x^{2} + 3 \, d^{2} e^{2} + 4 i \, d e f - 6 \, f^{2} + 2 \, {\left(3 \, d^{2} e f + 2 i \, d f^{2}\right)} x}{16 \, {\left(a d^{2} f^{4} x^{4} + 4 \, a d^{2} e f^{3} x^{3} + 6 \, a d^{2} e^{2} f^{2} x^{2} + 4 \, a d^{2} e^{3} f x + a d^{2} e^{4} + {\left(a d^{2} f^{4} x^{4} e^{c} + 4 \, a d^{2} e f^{3} x^{3} e^{c} + 6 \, a d^{2} e^{2} f^{2} x^{2} e^{c} + 4 \, a d^{2} e^{3} f x e^{c} + a d^{2} e^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 8 \, \int -\frac{3 \, d^{2} f^{2} x^{2} + 3 \, d^{2} e^{2} - 4 i \, d e f - 6 \, f^{2} + 2 \, {\left(3 \, d^{2} e f - 2 i \, d f^{2}\right)} x}{16 \, {\left(a d^{2} f^{4} x^{4} + 4 \, a d^{2} e f^{3} x^{3} + 6 \, a d^{2} e^{2} f^{2} x^{2} + 4 \, a d^{2} e^{3} f x + a d^{2} e^{4} - {\left(a d^{2} f^{4} x^{4} e^{c} + 4 \, a d^{2} e f^{3} x^{3} e^{c} + 6 \, a d^{2} e^{2} f^{2} x^{2} e^{c} + 4 \, a d^{2} e^{3} f x e^{c} + a d^{2} e^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-8*f*integrate(1/(-2*I*a*d*f^3*x^3 - 6*I*a*d*e*f^2*x^2 - 6*I*a*d*e^2*f*x - 2*I*a*d*e^3 + 2*(a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) - 8*(4*d*f*x + 4*d*e + (3*d*f*x*e^(4*c) + (3*d*e - 2*f)*e^(4*c))*e^(4*d*x) + (-3*I*d*f*x*e^(3*c) + (-3*I*d*e + 2*I*f)*e^(3*c))*e^(3*d*x) - (5*d*f*x*e^(2*c) + (5*d*e - 2*f)*e^(2*c))*e^(2*d*x) + (I*d*f*x*e^c + (I*d*e - 2*I*f)*e^c)*e^(d*x))/(-8*I*a*d^2*f^3*x^3 - 24*I*a*d^2*e*f^2*x^2 - 24*I*a*d^2*e^2*f*x - 8*I*a*d^2*e^3 + 8*(a*d^2*f^3*x^3*e^(5*c) + 3*a*d^2*e*f^2*x^2*e^(5*c) + 3*a*d^2*e^2*f*x*e^(5*c) + a*d^2*e^3*e^(5*c))*e^(5*d*x) + (-8*I*a*d^2*f^3*x^3*e^(4*c) - 24*I*a*d^2*e*f^2*x^2*e^(4*c) - 24*I*a*d^2*e^2*f*x*e^(4*c) - 8*I*a*d^2*e^3*e^(4*c))*e^(4*d*x) - 16*(a*d^2*f^3*x^3*e^(3*c) + 3*a*d^2*e*f^2*x^2*e^(3*c) + 3*a*d^2*e^2*f*x*e^(3*c) + a*d^2*e^3*e^(3*c))*e^(3*d*x) + (16*I*a*d^2*f^3*x^3*e^(2*c) + 48*I*a*d^2*e*f^2*x^2*e^(2*c) + 48*I*a*d^2*e^2*f*x*e^(2*c) + 16*I*a*d^2*e^3*e^(2*c))*e^(2*d*x) + 8*(a*d^2*f^3*x^3*e^c + 3*a*d^2*e*f^2*x^2*e^c + 3*a*d^2*e^2*f*x*e^c + a*d^2*e^3*e^c)*e^(d*x)) - 8*integrate(1/16*(3*d^2*f^2*x^2 + 3*d^2*e^2 + 4*I*d*e*f - 6*f^2 + 2*(3*d^2*e*f + 2*I*d*f^2)*x)/(a*d^2*f^4*x^4 + 4*a*d^2*e*f^3*x^3 + 6*a*d^2*e^2*f^2*x^2 + 4*a*d^2*e^3*f*x + a*d^2*e^4 + (a*d^2*f^4*x^4*e^c + 4*a*d^2*e*f^3*x^3*e^c + 6*a*d^2*e^2*f^2*x^2*e^c + 4*a*d^2*e^3*f*x*e^c + a*d^2*e^4*e^c)*e^(d*x)), x) - 8*integrate(-1/16*(3*d^2*f^2*x^2 + 3*d^2*e^2 - 4*I*d*e*f - 6*f^2 + 2*(3*d^2*e*f - 2*I*d*f^2)*x)/(a*d^2*f^4*x^4 + 4*a*d^2*e*f^3*x^3 + 6*a*d^2*e^2*f^2*x^2 + 4*a*d^2*e^3*f*x + a*d^2*e^4 - (a*d^2*f^4*x^4*e^c + 4*a*d^2*e*f^3*x^3*e^c + 6*a*d^2*e^2*f^2*x^2*e^c + 4*a*d^2*e^3*f*x*e^c + a*d^2*e^4*e^c)*e^(d*x)), x)","F",0
223,0,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d} - \frac{d x + c}{b d}\right)} + \frac{f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2}}{4 \, b} - \int \frac{2 \, {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(d x + c\right)} - b^{2}}\,{d x}"," ",0,"-e^3*(a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d) - (d*x + c)/(b*d)) + 1/4*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2)/b - integrate(2*(a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x)/(b^2*e^(2*d*x + 2*c) + 2*a*b*e^(d*x + c) - b^2), x)","F",0
224,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d} - \frac{d x + c}{b d}\right)} + \frac{f^{2} x^{3} + 3 \, e f x^{2}}{3 \, b} - \int \frac{2 \, {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}}{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(d x + c\right)} - b^{2}}\,{d x}"," ",0,"-e^2*(a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d) - (d*x + c)/(b*d)) + 1/3*(f^2*x^3 + 3*e*f*x^2)/b - integrate(2*(a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x)/(b^2*e^(2*d*x + 2*c) + 2*a*b*e^(d*x + c) - b^2), x)","F",0
225,0,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(4 \, a \int \frac{x e^{\left(d x + c\right)}}{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(d x + c\right)} - b^{2}}\,{d x} - \frac{x^{2}}{b}\right)} f - e {\left(\frac{a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d} - \frac{d x + c}{b d}\right)}"," ",0,"-1/2*(4*a*integrate(x*e^(d*x + c)/(b^2*e^(2*d*x + 2*c) + 2*a*b*e^(d*x + c) - b^2), x) - x^2/b)*f - e*(a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d) - (d*x + c)/(b*d))","F",0
226,1,85,0,0.564764," ","integrate(sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d} + \frac{d x + c}{b d}"," ",0,"-a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d) + (d*x + c)/(b*d)","A",0
227,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, a \int -\frac{e^{\left(d x + c\right)}}{b^{2} f x + b^{2} e - {\left(b^{2} f x e^{\left(2 \, c\right)} + b^{2} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b f x e^{c} + a b e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{\log\left(f x + e\right)}{b f}"," ",0,"-2*a*integrate(-e^(d*x + c)/(b^2*f*x + b^2*e - (b^2*f*x*e^(2*c) + b^2*e*e^(2*c))*e^(2*d*x) - 2*(a*b*f*x*e^c + a*b*e*e^c)*e^(d*x)), x) + log(f*x + e)/(b*f)","F",0
228,0,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, e^{3} {\left(\frac{2 \, a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{2} d} - \frac{2 \, {\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d}\right)} - \frac{{\left(a d^{4} f^{3} x^{4} e^{c} + 4 \, a d^{4} e f^{2} x^{3} e^{c} + 6 \, a d^{4} e^{2} f x^{2} e^{c} - 2 \, {\left(b d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(b d^{3} f^{3} x^{3} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b x^{2} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{4 \, b^{2} d^{4}} + \int \frac{2 \, {\left(a^{2} f^{3} x^{3} e^{c} + 3 \, a^{2} e f^{2} x^{2} e^{c} + 3 \, a^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}"," ",0,"1/2*e^3*(2*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2*d) - 2*(d*x + c)*a/(b^2*d) + e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d)) - 1/4*(a*d^4*f^3*x^4*e^c + 4*a*d^4*e*f^2*x^3*e^c + 6*a*d^4*e^2*f*x^2*e^c - 2*(b*d^3*f^3*x^3*e^(2*c) + 3*(d^3*e*f^2 - d^2*f^3)*b*x^2*e^(2*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b*x*e^(2*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b*e^(2*c))*e^(d*x) - 2*(b*d^3*f^3*x^3 + 3*(d^3*e*f^2 + d^2*f^3)*b*x^2 + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b*x + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b)*e^(-d*x))*e^(-c)/(b^2*d^4) + integrate(2*(a^2*f^3*x^3*e^c + 3*a^2*e*f^2*x^2*e^c + 3*a^2*e^2*f*x*e^c)*e^(d*x)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x)","F",0
229,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, e^{2} {\left(\frac{2 \, a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{2} d} - \frac{2 \, {\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d}\right)} - \frac{{\left(2 \, a d^{3} f^{2} x^{3} e^{c} + 6 \, a d^{3} e f x^{2} e^{c} - 3 \, {\left(b d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} b x e^{\left(2 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 3 \, {\left(b d^{2} f^{2} x^{2} + 2 \, {\left(d^{2} e f + d f^{2}\right)} b x + 2 \, {\left(d e f + f^{2}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{6 \, b^{2} d^{3}} + \int \frac{2 \, {\left(a^{2} f^{2} x^{2} e^{c} + 2 \, a^{2} e f x e^{c}\right)} e^{\left(d x\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}"," ",0,"1/2*e^2*(2*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2*d) - 2*(d*x + c)*a/(b^2*d) + e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d)) - 1/6*(2*a*d^3*f^2*x^3*e^c + 6*a*d^3*e*f*x^2*e^c - 3*(b*d^2*f^2*x^2*e^(2*c) + 2*(d^2*e*f - d*f^2)*b*x*e^(2*c) - 2*(d*e*f - f^2)*b*e^(2*c))*e^(d*x) - 3*(b*d^2*f^2*x^2 + 2*(d^2*e*f + d*f^2)*b*x + 2*(d*e*f + f^2)*b)*e^(-d*x))*e^(-c)/(b^2*d^3) + integrate(2*(a^2*f^2*x^2*e^c + 2*a^2*e*f*x*e^c)*e^(d*x)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x)","F",0
230,0,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(4 \, a^{2} \int \frac{x e^{\left(d x + c\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x} - \frac{{\left(a d^{2} x^{2} e^{c} - {\left(b d x e^{\left(2 \, c\right)} - b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(b d x + b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{b^{2} d^{2}}\right)} f + \frac{1}{2} \, e {\left(\frac{2 \, a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{2} d} - \frac{2 \, {\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d}\right)}"," ",0,"1/2*(4*a^2*integrate(x*e^(d*x + c)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x) - (a*d^2*x^2*e^c - (b*d*x*e^(2*c) - b*e^(2*c))*e^(d*x) - (b*d*x + b)*e^(-d*x))*e^(-c)/(b^2*d^2))*f + 1/2*e*(2*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2*d) - 2*(d*x + c)*a/(b^2*d) + e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d))","F",0
231,1,119,0,0.611712," ","integrate(sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{2} d} - \frac{{\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{2 \, b d} + \frac{e^{\left(-d x - c\right)}}{2 \, b d}"," ",0,"a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2*d) - (d*x + c)*a/(b^2*d) + 1/2*e^(d*x + c)/(b*d) + 1/2*e^(-d*x - c)/(b*d)","A",0
232,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, a^{2} \int -\frac{e^{\left(d x + c\right)}}{b^{3} f x + b^{3} e - {\left(b^{3} f x e^{\left(2 \, c\right)} + b^{3} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{2} f x e^{c} + a b^{2} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{a \log\left(f x + e\right)}{b^{2} f}"," ",0,"2*a^2*integrate(-e^(d*x + c)/(b^3*f*x + b^3*e - (b^3*f*x*e^(2*c) + b^3*e*e^(2*c))*e^(2*d*x) - 2*(a*b^2*f*x*e^c + a*b^2*e*e^c)*e^(d*x)), x) + 1/2*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b*f) - 1/2*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b*f) - a*log(f*x + e)/(b^2*f)","F",0
233,0,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{3} {\left(\frac{8 \, a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{3} d} + \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} - \frac{4 \, {\left(2 \, a^{2} - b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{{\left(4 \, {\left(2 \, a^{2} d^{4} f^{3} e^{\left(2 \, c\right)} - b^{2} d^{4} f^{3} e^{\left(2 \, c\right)}\right)} x^{4} + 16 \, {\left(2 \, a^{2} d^{4} e f^{2} e^{\left(2 \, c\right)} - b^{2} d^{4} e f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 24 \, {\left(2 \, a^{2} d^{4} e^{2} f e^{\left(2 \, c\right)} - b^{2} d^{4} e^{2} f e^{\left(2 \, c\right)}\right)} x^{2} + {\left(4 \, b^{2} d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{2} x^{2} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x e^{\left(4 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{\left(3 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{c} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b x^{2} e^{c} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{c} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{c}\right)} e^{\left(-d x\right)} - {\left(4 \, b^{2} d^{3} f^{3} x^{3} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{2} x^{2} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{32 \, b^{3} d^{4}} - \int \frac{2 \, {\left(a^{3} f^{3} x^{3} e^{c} + 3 \, a^{3} e f^{2} x^{2} e^{c} + 3 \, a^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"-1/8*e^3*(8*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^3*d) + (4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - 4*(2*a^2 - b^2)*(d*x + c)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/32*(4*(2*a^2*d^4*f^3*e^(2*c) - b^2*d^4*f^3*e^(2*c))*x^4 + 16*(2*a^2*d^4*e*f^2*e^(2*c) - b^2*d^4*e*f^2*e^(2*c))*x^3 + 24*(2*a^2*d^4*e^2*f*e^(2*c) - b^2*d^4*e^2*f*e^(2*c))*x^2 + (4*b^2*d^3*f^3*x^3*e^(4*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*b^2*x^2*e^(4*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*b^2*x*e^(4*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*b^2*e^(4*c))*e^(2*d*x) - 16*(a*b*d^3*f^3*x^3*e^(3*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*b*x^2*e^(3*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^(3*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b*e^(3*c))*e^(d*x) - 16*(a*b*d^3*f^3*x^3*e^c + 3*(d^3*e*f^2 + d^2*f^3)*a*b*x^2*e^c + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^c + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b*e^c)*e^(-d*x) - (4*b^2*d^3*f^3*x^3 + 6*(2*d^3*e*f^2 + d^2*f^3)*b^2*x^2 + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*b^2*x + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^4) - integrate(2*(a^3*f^3*x^3*e^c + 3*a^3*e*f^2*x^2*e^c + 3*a^3*e^2*f*x*e^c)*e^(d*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
234,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{2} {\left(\frac{8 \, a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{3} d} + \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} - \frac{4 \, {\left(2 \, a^{2} - b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{{\left(8 \, {\left(2 \, a^{2} d^{3} f^{2} e^{\left(2 \, c\right)} - b^{2} d^{3} f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 24 \, {\left(2 \, a^{2} d^{3} e f e^{\left(2 \, c\right)} - b^{2} d^{3} e f e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} b^{2} x e^{\left(4 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} a b x e^{\left(3 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(d^{2} e f + d f^{2}\right)} a b x e^{c} + 2 \, {\left(d e f + f^{2}\right)} a b e^{c}\right)} e^{\left(-d x\right)} - 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} b^{2} x + {\left(2 \, d e f + f^{2}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{48 \, b^{3} d^{3}} - \int \frac{2 \, {\left(a^{3} f^{2} x^{2} e^{c} + 2 \, a^{3} e f x e^{c}\right)} e^{\left(d x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"-1/8*e^2*(8*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^3*d) + (4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - 4*(2*a^2 - b^2)*(d*x + c)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/48*(8*(2*a^2*d^3*f^2*e^(2*c) - b^2*d^3*f^2*e^(2*c))*x^3 + 24*(2*a^2*d^3*e*f*e^(2*c) - b^2*d^3*e*f*e^(2*c))*x^2 + 3*(2*b^2*d^2*f^2*x^2*e^(4*c) + 2*(2*d^2*e*f - d*f^2)*b^2*x*e^(4*c) - (2*d*e*f - f^2)*b^2*e^(4*c))*e^(2*d*x) - 24*(a*b*d^2*f^2*x^2*e^(3*c) + 2*(d^2*e*f - d*f^2)*a*b*x*e^(3*c) - 2*(d*e*f - f^2)*a*b*e^(3*c))*e^(d*x) - 24*(a*b*d^2*f^2*x^2*e^c + 2*(d^2*e*f + d*f^2)*a*b*x*e^c + 2*(d*e*f + f^2)*a*b*e^c)*e^(-d*x) - 3*(2*b^2*d^2*f^2*x^2 + 2*(2*d^2*e*f + d*f^2)*b^2*x + (2*d*e*f + f^2)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^3) - integrate(2*(a^3*f^2*x^2*e^c + 2*a^3*e*f*x*e^c)*e^(d*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
235,0,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(32 \, a^{3} \int \frac{x e^{\left(d x + c\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x} - \frac{{\left(4 \, {\left(2 \, a^{2} d^{2} e^{\left(2 \, c\right)} - b^{2} d^{2} e^{\left(2 \, c\right)}\right)} x^{2} + {\left(2 \, b^{2} d x e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 8 \, {\left(a b d x e^{\left(3 \, c\right)} - a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 8 \, {\left(a b d x e^{c} + a b e^{c}\right)} e^{\left(-d x\right)} - {\left(2 \, b^{2} d x + b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{b^{3} d^{2}}\right)} f - \frac{1}{8} \, e {\left(\frac{8 \, a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{3} d} + \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} - \frac{4 \, {\left(2 \, a^{2} - b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)}"," ",0,"-1/16*(32*a^3*integrate(x*e^(d*x + c)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x) - (4*(2*a^2*d^2*e^(2*c) - b^2*d^2*e^(2*c))*x^2 + (2*b^2*d*x*e^(4*c) - b^2*e^(4*c))*e^(2*d*x) - 8*(a*b*d*x*e^(3*c) - a*b*e^(3*c))*e^(d*x) - 8*(a*b*d*x*e^c + a*b*e^c)*e^(-d*x) - (2*b^2*d*x + b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^2))*f - 1/8*e*(8*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^3*d) + (4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - 4*(2*a^2 - b^2)*(d*x + c)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d))","F",0
236,1,164,0,0.499839," ","integrate(sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{3} d} - \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, b^{2} d} + \frac{{\left(2 \, a^{2} - b^{2}\right)} {\left(d x + c\right)}}{2 \, b^{3} d} - \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, b^{2} d}"," ",0,"-a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^3*d) - 1/8*(4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 1/2*(2*a^2 - b^2)*(d*x + c)/(b^3*d) - 1/8*(4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)","A",0
237,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, a^{3} \int -\frac{e^{\left(d x + c\right)}}{b^{4} f x + b^{4} e - {\left(b^{4} f x e^{\left(2 \, c\right)} + b^{4} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{3} f x e^{c} + a b^{3} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} - \frac{a e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} + \frac{a e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} - \frac{e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} + \frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(f x + e\right)}{2 \, b^{3} f}"," ",0,"-2*a^3*integrate(-e^(d*x + c)/(b^4*f*x + b^4*e - (b^4*f*x*e^(2*c) + b^4*e*e^(2*c))*e^(2*d*x) - 2*(a*b^3*f*x*e^c + a*b^3*e*e^c)*e^(d*x)), x) - 1/4*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b*f) - 1/2*a*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^2*f) + 1/2*a*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^2*f) - 1/4*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b*f) + 1/2*(2*a^2 - b^2)*log(f*x + e)/(b^3*f)","F",0
238,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} - \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} - \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \int \frac{2 \, {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} e^{\left(d x + c\right)} - a b}\,{d x}"," ",0,"-e^3*(b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*d) + log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) - 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) - 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - integrate(2*(b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x)/(a*b*e^(2*d*x + 2*c) + 2*a^2*e^(d*x + c) - a*b), x)","F",0
239,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} - \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \int \frac{2 \, {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}}{a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} e^{\left(d x + c\right)} - a b}\,{d x}"," ",0,"-e^2*(b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*d) + log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) - 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - integrate(2*(b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x)/(a*b*e^(2*d*x + 2*c) + 2*a^2*e^(d*x + c) - a*b), x)","F",0
240,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e {\left(\frac{b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + 2 \, f \int \frac{2 \, x}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e*(b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*d) + log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + 2*f*integrate(2*x/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) - e^(-d*x - c))), x)","F",0
241,1,112,0,0.429130," ","integrate(csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}"," ",0,"-b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*d) - log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d)","A",0
242,0,0,0,0.000000," ","integrate(csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(d x + c\right)}{{\left(f x + e\right)} {\left(b \sinh\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(csch(d*x + c)/((f*x + e)*(b*sinh(d*x + c) + a)), x)","F",0
243,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{3} {\left(\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{2} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}\right)} - \frac{6 \, e^{2} f x}{a d} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{2 \, {\left(f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} + \frac{3 \, {\left(b d e^{2} f + 2 \, a e f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - 2 \, a e f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} + \frac{3 \, {\left(b d e f^{2} + a f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e f^{2} - a f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} + a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f + 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} - a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f - 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \int \frac{2 \, {\left(b^{2} f^{3} x^{3} e^{c} + 3 \, b^{2} e f^{2} x^{2} e^{c} + 3 \, b^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}"," ",0,"e^3*(b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^2*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d)) - 6*e^2*f*x/(a*d) + 3*e^2*f*log(e^(d*x + c) + 1)/(a*d^2) + 3*e^2*f*log(e^(d*x + c) - 1)/(a*d^2) - 2*(f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x)/(a*d*e^(2*d*x + 2*c) - a*d) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*b*f^3/(a^2*d^4) - (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*b*f^3/(a^2*d^4) + 3*(b*d*e^2*f + 2*a*e*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e^2*f - 2*a*e*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) + 3*(b*d*e*f^2 + a*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^2*d^4) - 3*(b*d*e*f^2 - a*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^2*d^4) - 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 + a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f + 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 - a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f - 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + integrate(2*(b^2*f^3*x^3*e^c + 3*b^2*e*f^2*x^2*e^c + 3*b^2*e^2*f*x*e^c)*e^(d*x)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x)","F",0
244,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{2} {\left(\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{2} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}\right)} - \frac{4 \, e f x}{a d} - \frac{2 \, {\left(f^{2} x^{2} + 2 \, e f x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} + \frac{2 \, {\left(b d e f + a f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f - a f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f + a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f - a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \int \frac{2 \, {\left(b^{2} f^{2} x^{2} e^{c} + 2 \, b^{2} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}"," ",0,"e^2*(b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^2*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d)) - 4*e*f*x/(a*d) - 2*(f^2*x^2 + 2*e*f*x)/(a*d*e^(2*d*x + 2*c) - a*d) + 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b*f^2/(a^2*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b*f^2/(a^2*d^3) + 2*(b*d*e*f + a*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 2*(b*d*e*f - a*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) - 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f + a*f^2)*d^2*x^2)/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f - a*f^2)*d^2*x^2)/(a^2*d^3) + integrate(2*(b^2*f^2*x^2*e^c + 2*b^2*e*f*x*e^c)*e^(d*x)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x)","F",0
245,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(4 \, b^{2} \int \frac{x e^{\left(d x + c\right)}}{2 \, {\left(a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b\right)}}\,{d x} - 4 \, b d \int \frac{x}{4 \, {\left(a^{2} d e^{\left(d x + c\right)} + a^{2} d\right)}}\,{d x} - 4 \, b d \int \frac{x}{4 \, {\left(a^{2} d e^{\left(d x + c\right)} - a^{2} d\right)}}\,{d x} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} - \frac{2 \, x}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d}\right)} f + e {\left(\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{2} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}\right)}"," ",0,"(4*b^2*integrate(1/2*x*e^(d*x + c)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x) - 4*b*d*integrate(1/4*x/(a^2*d*e^(d*x + c) + a^2*d), x) - 4*b*d*integrate(1/4*x/(a^2*d*e^(d*x + c) - a^2*d), x) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) - 2*x/(a*d*e^(2*d*x + 2*c) - a*d))*f + e*(b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^2*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d))","F",0
246,1,137,0,0.519773," ","integrate(csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{2} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}"," ",0,"b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^2*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d)","A",0
247,0,0,0,0.000000," ","integrate(csch(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","4 \, b^{2} \int -\frac{e^{\left(d x + c\right)}}{2 \, {\left(a^{2} b f x + a^{2} b e - {\left(a^{2} b f x e^{\left(2 \, c\right)} + a^{2} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} f x e^{c} + a^{3} e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + \frac{2}{a d f x + a d e - {\left(a d f x e^{\left(2 \, c\right)} + a d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 4 \, \int -\frac{b d f x + b d e + a f}{4 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 4 \, \int \frac{b d f x + b d e - a f}{4 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"4*b^2*integrate(-1/2*e^(d*x + c)/(a^2*b*f*x + a^2*b*e - (a^2*b*f*x*e^(2*c) + a^2*b*e*e^(2*c))*e^(2*d*x) - 2*(a^3*f*x*e^c + a^3*e*e^c)*e^(d*x)), x) + 2/(a*d*f*x + a*d*e - (a*d*f*x*e^(2*c) + a*d*e*e^(2*c))*e^(2*d*x)) - 4*integrate(-1/4*(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - 4*integrate(1/4*(b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x)","F",0
248,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{2 \, b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} - \frac{2 \, b d f^{3} x^{3} + 6 \, b d e f^{2} x^{2} + 6 \, b d e^{2} f x + {\left(a d f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, a e^{2} f e^{\left(3 \, c\right)} + 3 \, {\left(d e f^{2} + f^{3}\right)} a x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d e^{2} f + 2 \, e f^{2}\right)} a x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(b d f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, b d e f^{2} x^{2} e^{\left(2 \, c\right)} + 3 \, b d e^{2} f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f^{3} x^{3} e^{c} - 3 \, a e^{2} f e^{c} + 3 \, {\left(d e f^{2} - f^{3}\right)} a x^{2} e^{c} + 3 \, {\left(d e^{2} f - 2 \, e f^{2}\right)} a x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} x}{a^{2} d^{2}} - \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} - 2 \, b^{2} f^{3}\right)}}{2 \, a^{3} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} - 2 \, b^{2} f^{3}\right)}}{2 \, a^{3} d^{4}} + \frac{3 \, {\left(a^{2} d e f^{2} - 2 \, b^{2} d e f^{2} - 2 \, a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{2 \, a^{3} d^{4}} - \frac{3 \, {\left(a^{2} d e f^{2} - 2 \, b^{2} d e f^{2} + 2 \, a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{2 \, a^{3} d^{4}} - \frac{3 \, {\left(2 \, b^{2} d^{2} e^{2} f + 4 \, a b d e f^{2} - {\left(d^{2} e^{2} f - 2 \, f^{3}\right)} a^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{2 \, a^{3} d^{4}} + \frac{3 \, {\left(2 \, b^{2} d^{2} e^{2} f - 4 \, a b d e f^{2} - {\left(d^{2} e^{2} f - 2 \, f^{3}\right)} a^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{2 \, a^{3} d^{4}} + \frac{{\left(a^{2} f^{3} - 2 \, b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} - 2 \, b^{2} d e f^{2} + 2 \, a b f^{3}\right)} d^{3} x^{3} - 6 \, {\left(2 \, b^{2} d^{2} e^{2} f - 4 \, a b d e f^{2} - {\left(d^{2} e^{2} f - 2 \, f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{8 \, a^{3} d^{4}} - \frac{{\left(a^{2} f^{3} - 2 \, b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} - 2 \, b^{2} d e f^{2} - 2 \, a b f^{3}\right)} d^{3} x^{3} - 6 \, {\left(2 \, b^{2} d^{2} e^{2} f + 4 \, a b d e f^{2} - {\left(d^{2} e^{2} f - 2 \, f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{8 \, a^{3} d^{4}} - \int \frac{2 \, {\left(b^{3} f^{3} x^{3} e^{c} + 3 \, b^{3} e f^{2} x^{2} e^{c} + 3 \, b^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"-1/2*e^3*(2*b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d) - 2*(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d)) - (2*b*d*f^3*x^3 + 6*b*d*e*f^2*x^2 + 6*b*d*e^2*f*x + (a*d*f^3*x^3*e^(3*c) + 3*a*e^2*f*e^(3*c) + 3*(d*e*f^2 + f^3)*a*x^2*e^(3*c) + 3*(d*e^2*f + 2*e*f^2)*a*x*e^(3*c))*e^(3*d*x) - 2*(b*d*f^3*x^3*e^(2*c) + 3*b*d*e*f^2*x^2*e^(2*c) + 3*b*d*e^2*f*x*e^(2*c))*e^(2*d*x) + (a*d*f^3*x^3*e^c - 3*a*e^2*f*e^c + 3*(d*e*f^2 - f^3)*a*x^2*e^c + 3*(d*e^2*f - 2*e*f^2)*a*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + 3*(b*d*e^2*f + a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f - a*e*f^2)*x/(a^2*d^2) - 3*(b*d*e^2*f + a*e*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - 3*(b*d*e^2*f - a*e*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + 1/2*(d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*(a^2*f^3 - 2*b^2*f^3)/(a^3*d^4) - 1/2*(d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*(a^2*f^3 - 2*b^2*f^3)/(a^3*d^4) + 3/2*(a^2*d*e*f^2 - 2*b^2*d*e*f^2 - 2*a*b*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^3*d^4) - 3/2*(a^2*d*e*f^2 - 2*b^2*d*e*f^2 + 2*a*b*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^3*d^4) - 3/2*(2*b^2*d^2*e^2*f + 4*a*b*d*e*f^2 - (d^2*e^2*f - 2*f^3)*a^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^4) + 3/2*(2*b^2*d^2*e^2*f - 4*a*b*d*e*f^2 - (d^2*e^2*f - 2*f^3)*a^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^4) + 1/8*((a^2*f^3 - 2*b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 - 2*b^2*d*e*f^2 + 2*a*b*f^3)*d^3*x^3 - 6*(2*b^2*d^2*e^2*f - 4*a*b*d*e*f^2 - (d^2*e^2*f - 2*f^3)*a^2)*d^2*x^2)/(a^3*d^4) - 1/8*((a^2*f^3 - 2*b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 - 2*b^2*d*e*f^2 - 2*a*b*f^3)*d^3*x^3 - 6*(2*b^2*d^2*e^2*f + 4*a*b*d*e*f^2 - (d^2*e^2*f - 2*f^3)*a^2)*d^2*x^2)/(a^3*d^4) - integrate(2*(b^3*f^3*x^3*e^c + 3*b^3*e*f^2*x^2*e^c + 3*b^3*e^2*f*x*e^c)*e^(d*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
249,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{2 \, b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} - \frac{2 \, b d f^{2} x^{2} + 4 \, b d e f x + {\left(a d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} a x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(b d f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, b d e f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f^{2} x^{2} e^{c} - 2 \, a e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} a x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + \frac{{\left(2 \, b d e f + a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f - a f^{2}\right)} x}{a^{2} d^{2}} - \frac{{\left(2 \, b d e f + a f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{{\left(2 \, b d e f - a f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} - 2 \, b^{2} f^{2}\right)}}{2 \, a^{3} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} - 2 \, b^{2} f^{2}\right)}}{2 \, a^{3} d^{3}} + \frac{{\left(a^{2} d e f - 2 \, b^{2} d e f - 2 \, a b f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} - \frac{{\left(a^{2} d e f - 2 \, b^{2} d e f + 2 \, a b f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{{\left(a^{2} f^{2} - 2 \, b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f - 2 \, b^{2} d e f + 2 \, a b f^{2}\right)} d^{2} x^{2}}{6 \, a^{3} d^{3}} - \frac{{\left(a^{2} f^{2} - 2 \, b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f - 2 \, b^{2} d e f - 2 \, a b f^{2}\right)} d^{2} x^{2}}{6 \, a^{3} d^{3}} - \int \frac{2 \, {\left(b^{3} f^{2} x^{2} e^{c} + 2 \, b^{3} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"-1/2*e^2*(2*b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d) - 2*(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d)) - (2*b*d*f^2*x^2 + 4*b*d*e*f*x + (a*d*f^2*x^2*e^(3*c) + 2*a*e*f*e^(3*c) + 2*(d*e*f + f^2)*a*x*e^(3*c))*e^(3*d*x) - 2*(b*d*f^2*x^2*e^(2*c) + 2*b*d*e*f*x*e^(2*c))*e^(2*d*x) + (a*d*f^2*x^2*e^c - 2*a*e*f*e^c + 2*(d*e*f - f^2)*a*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + (2*b*d*e*f + a*f^2)*x/(a^2*d^2) + (2*b*d*e*f - a*f^2)*x/(a^2*d^2) - (2*b*d*e*f + a*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - (2*b*d*e*f - a*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + 1/2*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(a^2*f^2 - 2*b^2*f^2)/(a^3*d^3) - 1/2*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(a^2*f^2 - 2*b^2*f^2)/(a^3*d^3) + (a^2*d*e*f - 2*b^2*d*e*f - 2*a*b*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^3) - (a^2*d*e*f - 2*b^2*d*e*f + 2*a*b*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^3) + 1/6*((a^2*f^2 - 2*b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f - 2*b^2*d*e*f + 2*a*b*f^2)*d^2*x^2)/(a^3*d^3) - 1/6*((a^2*f^2 - 2*b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f - 2*b^2*d*e*f - 2*a*b*f^2)*d^2*x^2)/(a^3*d^3) - integrate(2*(b^3*f^2*x^2*e^c + 2*b^3*e*f*x*e^c)*e^(d*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
250,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(8 \, b^{3} \int \frac{x e^{\left(d x + c\right)}}{4 \, {\left(a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b\right)}}\,{d x} + 8 \, a^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 16 \, b^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} + 8 \, a^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} - 16 \, b^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} - \frac{2 \, b d x e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b d x - {\left(a d x e^{\left(3 \, c\right)} + a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a d x e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}}\right)} f - \frac{1}{2} \, e {\left(\frac{2 \, b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)}"," ",0,"-(8*b^3*integrate(1/4*x*e^(d*x + c)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x) + 8*a^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 16*b^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) + a^3*d), x) + 8*a^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) - a^3*d), x) - 16*b^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) - a^3*d), x) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) - (2*b*d*x*e^(2*d*x + 2*c) - 2*b*d*x - (a*d*x*e^(3*c) + a*e^(3*c))*e^(3*d*x) - (a*d*x*e^c - a*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2))*f - 1/2*e*(2*b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d) - 2*(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d))","F",0
251,1,211,0,0.533239," ","integrate(csch(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d} + \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{2 \, a^{3} d} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{2 \, a^{3} d}"," ",0,"-b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d) + (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + 1/2*(a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - 1/2*(a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d)","A",0
252,0,0,0,0.000000," ","integrate(csch(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-8 \, b^{3} \int -\frac{e^{\left(d x + c\right)}}{4 \, {\left(a^{3} b f x + a^{3} b e - {\left(a^{3} b f x e^{\left(2 \, c\right)} + a^{3} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} f x e^{c} + a^{4} e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - \frac{2 \, b d f x + 2 \, b d e + {\left(a d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(b d f x e^{\left(2 \, c\right)} + b d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f x e^{c} + {\left(d e + f\right)} a e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e f x + a^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(4 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(2 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 8 \, \int \frac{2 \, b^{2} d^{2} e^{2} + 2 \, a b d e f - {\left(d^{2} e^{2} - 2 \, f^{2}\right)} a^{2} - {\left(a^{2} d^{2} f^{2} - 2 \, b^{2} d^{2} f^{2}\right)} x^{2} - 2 \, {\left(a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{16 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 8 \, \int -\frac{2 \, b^{2} d^{2} e^{2} - 2 \, a b d e f - {\left(d^{2} e^{2} - 2 \, f^{2}\right)} a^{2} - {\left(a^{2} d^{2} f^{2} - 2 \, b^{2} d^{2} f^{2}\right)} x^{2} - 2 \, {\left(a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{16 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-8*b^3*integrate(-1/4*e^(d*x + c)/(a^3*b*f*x + a^3*b*e - (a^3*b*f*x*e^(2*c) + a^3*b*e*e^(2*c))*e^(2*d*x) - 2*(a^4*f*x*e^c + a^4*e*e^c)*e^(d*x)), x) - (2*b*d*f*x + 2*b*d*e + (a*d*f*x*e^(3*c) + (d*e - f)*a*e^(3*c))*e^(3*d*x) - 2*(b*d*f*x*e^(2*c) + b*d*e*e^(2*c))*e^(2*d*x) + (a*d*f*x*e^c + (d*e + f)*a*e^c)*e^(d*x))/(a^2*d^2*f^2*x^2 + 2*a^2*d^2*e*f*x + a^2*d^2*e^2 + (a^2*d^2*f^2*x^2*e^(4*c) + 2*a^2*d^2*e*f*x*e^(4*c) + a^2*d^2*e^2*e^(4*c))*e^(4*d*x) - 2*(a^2*d^2*f^2*x^2*e^(2*c) + 2*a^2*d^2*e*f*x*e^(2*c) + a^2*d^2*e^2*e^(2*c))*e^(2*d*x)) - 8*integrate(1/16*(2*b^2*d^2*e^2 + 2*a*b*d*e*f - (d^2*e^2 - 2*f^2)*a^2 - (a^2*d^2*f^2 - 2*b^2*d^2*f^2)*x^2 - 2*(a^2*d^2*e*f - 2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) - 8*integrate(-1/16*(2*b^2*d^2*e^2 - 2*a*b*d*e*f - (d^2*e^2 - 2*f^2)*a^2 - (a^2*d^2*f^2 - 2*b^2*d^2*f^2)*x^2 - 2*(a^2*d^2*e*f - 2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x)","F",0
253,1,264,0,0.541520," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, e^{3} \log\left(i \, a \sinh\left(d x + c\right) + a\right)}{a d} - \frac{6 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} - \frac{i \, {\left(f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2}\right)}}{4 \, a} - \frac{6 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} - \frac{2 i \, {\left(d^{3} x^{3} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-i \, e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{i \, d^{4} f^{3} x^{4} + 4 i \, d^{4} e f^{2} x^{3} + 6 i \, d^{4} e^{2} f x^{2}}{2 \, a d^{4}}"," ",0,"-I*e^3*log(I*a*sinh(d*x + c) + a)/(a*d) - 6*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e^2*f/(a*d^2) - 1/4*I*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2)/a - 6*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*e*f^2/(a*d^3) - 2*I*(d^3*x^3*log(I*e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-I*e^(d*x + c)) - 6*d*x*polylog(3, -I*e^(d*x + c)) + 6*polylog(4, -I*e^(d*x + c)))*f^3/(a*d^4) + 1/2*(I*d^4*f^3*x^4 + 4*I*d^4*e*f^2*x^3 + 6*I*d^4*e^2*f*x^2)/(a*d^4)","B",0
254,1,164,0,0.751968," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, e^{2} \log\left(i \, a \sinh\left(d x + c\right) + a\right)}{a d} - \frac{i \, f^{2} x^{3} + 3 i \, e f x^{2}}{3 \, a} - \frac{4 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} - \frac{2 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{2 i \, d^{3} f^{2} x^{3} + 6 i \, d^{3} e f x^{2}}{3 \, a d^{3}}"," ",0,"-I*e^2*log(I*a*sinh(d*x + c) + a)/(a*d) - 1/3*(I*f^2*x^3 + 3*I*e*f*x^2)/a - 4*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f/(a*d^2) - 2*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^2/(a*d^3) + 1/3*(2*I*d^3*f^2*x^3 + 6*I*d^3*e*f*x^2)/(a*d^3)","A",0
255,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, f {\left(-\frac{i \, x^{2}}{a} + 4 \, \int \frac{x}{a e^{\left(d x + c\right)} - i \, a}\,{d x}\right)} - \frac{i \, e \log\left(i \, a \sinh\left(d x + c\right) + a\right)}{a d}"," ",0,"1/2*f*(-I*x^2/a + 4*integrate(x/(a*e^(d*x + c) - I*a), x)) - I*e*log(I*a*sinh(d*x + c) + a)/(a*d)","F",0
256,1,20,0,0.393365," ","integrate(cosh(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, \log\left(i \, a \sinh\left(d x + c\right) + a\right)}{a d}"," ",0,"-I*log(I*a*sinh(d*x + c) + a)/(a*d)","A",0
257,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, \log\left(f x + e\right)}{a f} + 2 \, \int \frac{1}{-i \, a f x - i \, a e + {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-I*log(f*x + e)/(a*f) + 2*integrate(1/(-I*a*f*x - I*a*e + (a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
258,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{i}{a f^{2} x + a e f} + 2 \, \int \frac{1}{-i \, a f^{2} x^{2} - 2 i \, a e f x - i \, a e^{2} + {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c} + a e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"I/(a*f^2*x + a*e*f) + 2*integrate(1/(-I*a*f^2*x^2 - 2*I*a*e*f*x - I*a*e^2 + (a*f^2*x^2*e^c + 2*a*e*f*x*e^c + a*e^2*e^c)*e^(d*x)), x)","F",0
259,1,373,0,2.383224," ","integrate((f*x+e)^3*cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{3}{4} \, e^{2} f {\left(\frac{4 \, x e^{\left(d x + c\right)}}{a d e^{\left(d x + c\right)} - i \, a d} + \frac{-2 i \, d^{2} x^{2} e^{c} - 2 i \, d x e^{c} - {\left(2 i \, d x e^{\left(3 \, c\right)} - 2 i \, e^{\left(3 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(d^{2} x^{2} e^{\left(2 \, c\right)} - 3 \, d x e^{\left(2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(d x + 1\right)} e^{\left(-d x\right)} - 2 i \, e^{c}}{a d^{2} e^{\left(d x + 2 \, c\right)} - i \, a d^{2} e^{c}}\right)} + \frac{1}{4} \, e^{3} {\left(\frac{4 \, {\left(d x + c\right)}}{a d} - \frac{2 i \, e^{\left(d x + c\right)}}{a d} - \frac{2 i \, e^{\left(-d x - c\right)}}{a d}\right)} + \frac{{\left(4 \, d^{3} x^{3} e^{c} - {\left(6 i \, d^{2} x^{2} e^{\left(2 \, c\right)} - 12 i \, d x e^{\left(2 \, c\right)} + 12 i \, e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(6 i \, d^{2} x^{2} + 12 i \, d x + 12 i\right)} e^{\left(-d x\right)}\right)} e f^{2} e^{\left(-c\right)}}{4 \, a d^{3}} + \frac{{\left(d^{4} x^{4} e^{c} - {\left(2 i \, d^{3} x^{3} e^{\left(2 \, c\right)} - 6 i \, d^{2} x^{2} e^{\left(2 \, c\right)} + 12 i \, d x e^{\left(2 \, c\right)} - 12 i \, e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(2 i \, d^{3} x^{3} + 6 i \, d^{2} x^{2} + 12 i \, d x + 12 i\right)} e^{\left(-d x\right)}\right)} f^{3} e^{\left(-c\right)}}{4 \, a d^{4}}"," ",0,"3/4*e^2*f*(4*x*e^(d*x + c)/(a*d*e^(d*x + c) - I*a*d) + (-2*I*d^2*x^2*e^c - 2*I*d*x*e^c - (2*I*d*x*e^(3*c) - 2*I*e^(3*c))*e^(2*d*x) + 2*(d^2*x^2*e^(2*c) - 3*d*x*e^(2*c) + e^(2*c))*e^(d*x) - 2*(d*x + 1)*e^(-d*x) - 2*I*e^c)/(a*d^2*e^(d*x + 2*c) - I*a*d^2*e^c)) + 1/4*e^3*(4*(d*x + c)/(a*d) - 2*I*e^(d*x + c)/(a*d) - 2*I*e^(-d*x - c)/(a*d)) + 1/4*(4*d^3*x^3*e^c - (6*I*d^2*x^2*e^(2*c) - 12*I*d*x*e^(2*c) + 12*I*e^(2*c))*e^(d*x) - (6*I*d^2*x^2 + 12*I*d*x + 12*I)*e^(-d*x))*e*f^2*e^(-c)/(a*d^3) + 1/4*(d^4*x^4*e^c - (2*I*d^3*x^3*e^(2*c) - 6*I*d^2*x^2*e^(2*c) + 12*I*d*x*e^(2*c) - 12*I*e^(2*c))*e^(d*x) - (2*I*d^3*x^3 + 6*I*d^2*x^2 + 12*I*d*x + 12*I)*e^(-d*x))*f^3*e^(-c)/(a*d^4)","B",0
260,1,271,0,0.565024," ","integrate((f*x+e)^2*cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, e f {\left(\frac{4 \, x e^{\left(d x + c\right)}}{a d e^{\left(d x + c\right)} - i \, a d} + \frac{-2 i \, d^{2} x^{2} e^{c} - 2 i \, d x e^{c} - {\left(2 i \, d x e^{\left(3 \, c\right)} - 2 i \, e^{\left(3 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(d^{2} x^{2} e^{\left(2 \, c\right)} - 3 \, d x e^{\left(2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(d x + 1\right)} e^{\left(-d x\right)} - 2 i \, e^{c}}{a d^{2} e^{\left(d x + 2 \, c\right)} - i \, a d^{2} e^{c}}\right)} + \frac{1}{4} \, e^{2} {\left(\frac{4 \, {\left(d x + c\right)}}{a d} - \frac{2 i \, e^{\left(d x + c\right)}}{a d} - \frac{2 i \, e^{\left(-d x - c\right)}}{a d}\right)} + \frac{{\left(4 \, d^{3} x^{3} e^{c} - {\left(6 i \, d^{2} x^{2} e^{\left(2 \, c\right)} - 12 i \, d x e^{\left(2 \, c\right)} + 12 i \, e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(6 i \, d^{2} x^{2} + 12 i \, d x + 12 i\right)} e^{\left(-d x\right)}\right)} f^{2} e^{\left(-c\right)}}{12 \, a d^{3}}"," ",0,"1/2*e*f*(4*x*e^(d*x + c)/(a*d*e^(d*x + c) - I*a*d) + (-2*I*d^2*x^2*e^c - 2*I*d*x*e^c - (2*I*d*x*e^(3*c) - 2*I*e^(3*c))*e^(2*d*x) + 2*(d^2*x^2*e^(2*c) - 3*d*x*e^(2*c) + e^(2*c))*e^(d*x) - 2*(d*x + 1)*e^(-d*x) - 2*I*e^c)/(a*d^2*e^(d*x + 2*c) - I*a*d^2*e^c)) + 1/4*e^2*(4*(d*x + c)/(a*d) - 2*I*e^(d*x + c)/(a*d) - 2*I*e^(-d*x - c)/(a*d)) + 1/12*(4*d^3*x^3*e^c - (6*I*d^2*x^2*e^(2*c) - 12*I*d*x*e^(2*c) + 12*I*e^(2*c))*e^(d*x) - (6*I*d^2*x^2 + 12*I*d*x + 12*I)*e^(-d*x))*f^2*e^(-c)/(a*d^3)","B",0
261,1,188,0,0.509457," ","integrate((f*x+e)*cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{4} \, f {\left(\frac{4 \, x e^{\left(d x + c\right)}}{a d e^{\left(d x + c\right)} - i \, a d} + \frac{-2 i \, d^{2} x^{2} e^{c} - 2 i \, d x e^{c} - {\left(2 i \, d x e^{\left(3 \, c\right)} - 2 i \, e^{\left(3 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(d^{2} x^{2} e^{\left(2 \, c\right)} - 3 \, d x e^{\left(2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(d x + 1\right)} e^{\left(-d x\right)} - 2 i \, e^{c}}{a d^{2} e^{\left(d x + 2 \, c\right)} - i \, a d^{2} e^{c}}\right)} + \frac{1}{4} \, e {\left(\frac{4 \, {\left(d x + c\right)}}{a d} - \frac{2 i \, e^{\left(d x + c\right)}}{a d} - \frac{2 i \, e^{\left(-d x - c\right)}}{a d}\right)}"," ",0,"1/4*f*(4*x*e^(d*x + c)/(a*d*e^(d*x + c) - I*a*d) + (-2*I*d^2*x^2*e^c - 2*I*d*x*e^c - (2*I*d*x*e^(3*c) - 2*I*e^(3*c))*e^(2*d*x) + 2*(d^2*x^2*e^(2*c) - 3*d*x*e^(2*c) + e^(2*c))*e^(d*x) - 2*(d*x + 1)*e^(-d*x) - 2*I*e^c)/(a*d^2*e^(d*x + 2*c) - I*a*d^2*e^c)) + 1/4*e*(4*(d*x + c)/(a*d) - 2*I*e^(d*x + c)/(a*d) - 2*I*e^(-d*x - c)/(a*d))","B",0
262,1,44,0,0.393432," ","integrate(cosh(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{a d} - \frac{i \, e^{\left(d x + c\right)}}{2 \, a d} - \frac{i \, e^{\left(-d x - c\right)}}{2 \, a d}"," ",0,"(d*x + c)/(a*d) - 1/2*I*e^(d*x + c)/(a*d) - 1/2*I*e^(-d*x - c)/(a*d)","B",0
263,1,76,0,0.457114," ","integrate(cosh(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, a f} + \frac{i \, e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, a f} + \frac{\log\left(f x + e\right)}{a f}"," ",0,"-1/2*I*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(a*f) + 1/2*I*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(a*f) + log(f*x + e)/(a*f)","A",0
264,1,92,0,0.654230," ","integrate(cosh(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{a f^{2} x + a e f} - \frac{i \, e^{\left(-c + \frac{d e}{f}\right)} E_{2}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, {\left(f x + e\right)} a f} + \frac{i \, e^{\left(c - \frac{d e}{f}\right)} E_{2}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, {\left(f x + e\right)} a f}"," ",0,"-1/(a*f^2*x + a*e*f) - 1/2*I*e^(-c + d*e/f)*exp_integral_e(2, (f*x + e)*d/f)/((f*x + e)*a*f) + 1/2*I*e^(c - d*e/f)*exp_integral_e(2, -(f*x + e)*d/f)/((f*x + e)*a*f)","A",0
265,-2,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
266,-2,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
267,-2,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
268,1,60,0,0.312258," ","integrate(cosh(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{i \, {\left(4 i \, e^{\left(-d x - c\right)} + 1\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, a d} - \frac{i \, {\left(-4 i \, e^{\left(-d x - c\right)} + e^{\left(-2 \, d x - 2 \, c\right)}\right)}}{8 \, a d}"," ",0,"-1/8*I*(4*I*e^(-d*x - c) + 1)*e^(2*d*x + 2*c)/(a*d) - 1/8*I*(-4*I*e^(-d*x - c) + e^(-2*d*x - 2*c))/(a*d)","A",0
269,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
270,-2,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
271,1,684,0,0.630075," ","integrate((f*x+e)^3*sech(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{4 \, e^{\left(-d x - c\right)}}{-2 \, {\left(-2 i \, a e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} + a\right)} d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{a d} - \frac{i \, \log\left(i \, e^{\left(-d x - c\right)} + 1\right)}{a d}\right)} + \frac{3 i \, {\left(d x \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right)\right)} e^{2} f}{2 \, a d^{2}} - \frac{6 i \, e f^{2} x}{a d^{2}} + \frac{-3 i \, f^{3} x^{2} - 6 i \, e f^{2} x - 3 i \, e^{2} f + {\left(d f^{3} x^{3} e^{c} + 3 \, e^{2} f e^{c} + 3 \, {\left(d e f^{2} + f^{3}\right)} x^{2} e^{c} + 3 \, {\left(d e^{2} f + 2 \, e f^{2}\right)} x e^{c}\right)} e^{\left(d x\right)}}{a d^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 i \, a d^{2} e^{\left(d x + c\right)} - a d^{2}} - \frac{3 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} e f^{2}}{2 \, a d^{3}} + \frac{3 i \, {\left(d^{2} x^{2} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(i \, e^{\left(d x + c\right)})\right)} e f^{2}}{2 \, a d^{3}} + \frac{6 i \, e f^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{a d^{3}} - \frac{i \, {\left(d^{3} x^{3} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-i \, e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{2 \, a d^{4}} + \frac{i \, {\left(d^{3} x^{3} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(i \, e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(i \, e^{\left(d x + c\right)})\right)} f^{3}}{2 \, a d^{4}} - \frac{3 i \, {\left(d^{2} e^{2} f - 4 \, f^{3}\right)} {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)}}{2 \, a d^{4}} - \frac{i \, d^{4} f^{3} x^{4} + 4 i \, d^{4} e f^{2} x^{3} + 6 i \, d^{4} e^{2} f x^{2}}{8 \, a d^{4}} + \frac{i \, d^{4} f^{3} x^{4} + 4 i \, d^{4} e f^{2} x^{3} + {\left(6 i \, d^{2} e^{2} f - 24 i \, f^{3}\right)} d^{2} x^{2}}{8 \, a d^{4}}"," ",0,"-1/2*e^3*(4*e^(-d*x - c)/((4*I*a*e^(-d*x - c) + 2*a*e^(-2*d*x - 2*c) - 2*a)*d) + I*log(e^(-d*x - c) + I)/(a*d) - I*log(I*e^(-d*x - c) + 1)/(a*d)) + 3/2*I*(d*x*log(-I*e^(d*x + c) + 1) + dilog(I*e^(d*x + c)))*e^2*f/(a*d^2) - 6*I*e*f^2*x/(a*d^2) + (-3*I*f^3*x^2 - 6*I*e*f^2*x - 3*I*e^2*f + (d*f^3*x^3*e^c + 3*e^2*f*e^c + 3*(d*e*f^2 + f^3)*x^2*e^c + 3*(d*e^2*f + 2*e*f^2)*x*e^c)*e^(d*x))/(a*d^2*e^(2*d*x + 2*c) - 2*I*a*d^2*e^(d*x + c) - a*d^2) - 3/2*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*e*f^2/(a*d^3) + 3/2*I*(d^2*x^2*log(-I*e^(d*x + c) + 1) + 2*d*x*dilog(I*e^(d*x + c)) - 2*polylog(3, I*e^(d*x + c)))*e*f^2/(a*d^3) + 6*I*e*f^2*log(I*e^(d*x + c) + 1)/(a*d^3) - 1/2*I*(d^3*x^3*log(I*e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-I*e^(d*x + c)) - 6*d*x*polylog(3, -I*e^(d*x + c)) + 6*polylog(4, -I*e^(d*x + c)))*f^3/(a*d^4) + 1/2*I*(d^3*x^3*log(-I*e^(d*x + c) + 1) + 3*d^2*x^2*dilog(I*e^(d*x + c)) - 6*d*x*polylog(3, I*e^(d*x + c)) + 6*polylog(4, I*e^(d*x + c)))*f^3/(a*d^4) - 3/2*I*(d^2*e^2*f - 4*f^3)*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))/(a*d^4) - 1/8*(I*d^4*f^3*x^4 + 4*I*d^4*e*f^2*x^3 + 6*I*d^4*e^2*f*x^2)/(a*d^4) + 1/8*(I*d^4*f^3*x^4 + 4*I*d^4*e*f^2*x^3 + (6*I*d^2*e^2*f - 24*I*f^3)*d^2*x^2)/(a*d^4)","A",0
272,1,387,0,0.622880," ","integrate((f*x+e)^2*sech(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{4 \, e^{\left(-d x - c\right)}}{-2 \, {\left(-2 i \, a e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} + a\right)} d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{a d} - \frac{i \, \log\left(i \, e^{\left(-d x - c\right)} + 1\right)}{a d}\right)} + \frac{-2 i \, f^{2} x - 2 i \, e f + {\left(d f^{2} x^{2} e^{c} + 2 \, e f e^{c} + 2 \, {\left(d e f + f^{2}\right)} x e^{c}\right)} e^{\left(d x\right)}}{a d^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 i \, a d^{2} e^{\left(d x + c\right)} - a d^{2}} - \frac{i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{i \, {\left(d x \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} - \frac{2 i \, f^{2} x}{a d^{2}} - \frac{i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{2}}{2 \, a d^{3}} + \frac{i \, {\left(d^{2} x^{2} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(i \, e^{\left(d x + c\right)})\right)} f^{2}}{2 \, a d^{3}} + \frac{2 i \, f^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{a d^{3}}"," ",0,"-1/2*e^2*(4*e^(-d*x - c)/((4*I*a*e^(-d*x - c) + 2*a*e^(-2*d*x - 2*c) - 2*a)*d) + I*log(e^(-d*x - c) + I)/(a*d) - I*log(I*e^(-d*x - c) + 1)/(a*d)) + (-2*I*f^2*x - 2*I*e*f + (d*f^2*x^2*e^c + 2*e*f*e^c + 2*(d*e*f + f^2)*x*e^c)*e^(d*x))/(a*d^2*e^(2*d*x + 2*c) - 2*I*a*d^2*e^(d*x + c) - a*d^2) - I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f/(a*d^2) + I*(d*x*log(-I*e^(d*x + c) + 1) + dilog(I*e^(d*x + c)))*e*f/(a*d^2) - 2*I*f^2*x/(a*d^2) - 1/2*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^2/(a*d^3) + 1/2*I*(d^2*x^2*log(-I*e^(d*x + c) + 1) + 2*d*x*dilog(I*e^(d*x + c)) - 2*polylog(3, I*e^(d*x + c)))*f^2/(a*d^3) + 2*I*f^2*log(I*e^(d*x + c) + 1)/(a*d^3)","A",0
273,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, f {\left(\frac{{\left(d x e^{c} + e^{c}\right)} e^{\left(d x\right)} - i}{2 \, a d^{2} e^{\left(2 \, d x + 2 \, c\right)} - 4 i \, a d^{2} e^{\left(d x + c\right)} - 2 \, a d^{2}} + \int \frac{x}{4 \, a e^{\left(d x + c\right)} + 4 i \, a}\,{d x} + \int \frac{x}{4 \, a e^{\left(d x + c\right)} - 4 i \, a}\,{d x}\right)} - \frac{1}{2} \, e {\left(\frac{4 \, e^{\left(-d x - c\right)}}{-2 \, {\left(-2 i \, a e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} + a\right)} d} + \frac{i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{a d} - \frac{i \, \log\left(i \, e^{\left(-d x - c\right)} + 1\right)}{a d}\right)}"," ",0,"2*f*(((d*x*e^c + e^c)*e^(d*x) - I)/(2*a*d^2*e^(2*d*x + 2*c) - 4*I*a*d^2*e^(d*x + c) - 2*a*d^2) + integrate(x/(4*a*e^(d*x + c) + 4*I*a), x) + integrate(x/(4*a*e^(d*x + c) - 4*I*a), x)) - 1/2*e*(4*e^(-d*x - c)/((4*I*a*e^(-d*x - c) + 2*a*e^(-2*d*x - 2*c) - 2*a)*d) + I*log(e^(-d*x - c) + I)/(a*d) - I*log(I*e^(-d*x - c) + 1)/(a*d))","F",0
274,1,87,0,0.353171," ","integrate(sech(d*x+c)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, e^{\left(-d x - c\right)}}{-2 \, {\left(-2 i \, a e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} + a\right)} d} - \frac{i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{2 \, a d} + \frac{i \, \log\left(i \, e^{\left(-d x - c\right)} + 1\right)}{2 \, a d}"," ",0,"-2*e^(-d*x - c)/((4*I*a*e^(-d*x - c) + 2*a*e^(-2*d*x - 2*c) - 2*a)*d) - 1/2*I*log(e^(-d*x - c) + I)/(a*d) + 1/2*I*log(I*e^(-d*x - c) + 1)/(a*d)","B",0
275,0,0,0,0.000000," ","integrate(sech(d*x+c)/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, {\left({\left(d f x e^{c} + {\left(d e - f\right)} e^{c}\right)} e^{\left(d x\right)} + i \, f\right)}}{2 \, a d^{2} f^{2} x^{2} + 4 \, a d^{2} e f x + 2 \, a d^{2} e^{2} - 2 \, {\left(a d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a d^{2} e f x e^{\left(2 \, c\right)} + a d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(-4 i \, a d^{2} f^{2} x^{2} e^{c} - 8 i \, a d^{2} e f x e^{c} - 4 i \, a d^{2} e^{2} e^{c}\right)} e^{\left(d x\right)}} + 2 \, \int \frac{d^{2} f^{2} x^{2} + 2 \, d^{2} e f x + d^{2} e^{2} - 4 \, f^{2}}{-4 i \, a d^{2} f^{3} x^{3} - 12 i \, a d^{2} e f^{2} x^{2} - 12 i \, a d^{2} e^{2} f x - 4 i \, a d^{2} e^{3} + 4 \, {\left(a d^{2} f^{3} x^{3} e^{c} + 3 \, a d^{2} e f^{2} x^{2} e^{c} + 3 \, a d^{2} e^{2} f x e^{c} + a d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + 2 \, \int \frac{1}{4 i \, a f x + 4 i \, a e + 4 \, {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*((d*f*x*e^c + (d*e - f)*e^c)*e^(d*x) + I*f)/(2*a*d^2*f^2*x^2 + 4*a*d^2*e*f*x + 2*a*d^2*e^2 - 2*(a*d^2*f^2*x^2*e^(2*c) + 2*a*d^2*e*f*x*e^(2*c) + a*d^2*e^2*e^(2*c))*e^(2*d*x) - (-4*I*a*d^2*f^2*x^2*e^c - 8*I*a*d^2*e*f*x*e^c - 4*I*a*d^2*e^2*e^c)*e^(d*x)) + 2*integrate((d^2*f^2*x^2 + 2*d^2*e*f*x + d^2*e^2 - 4*f^2)/(-4*I*a*d^2*f^3*x^3 - 12*I*a*d^2*e*f^2*x^2 - 12*I*a*d^2*e^2*f*x - 4*I*a*d^2*e^3 + 4*(a*d^2*f^3*x^3*e^c + 3*a*d^2*e*f^2*x^2*e^c + 3*a*d^2*e^2*f*x*e^c + a*d^2*e^3*e^c)*e^(d*x)), x) + 2*integrate(1/(4*I*a*f*x + 4*I*a*e + 4*(a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
276,0,0,0,0.000000," ","integrate(sech(d*x+c)/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, {\left({\left(d f x e^{c} + {\left(d e - 2 \, f\right)} e^{c}\right)} e^{\left(d x\right)} + 2 i \, f\right)}}{2 \, a d^{2} f^{3} x^{3} + 6 \, a d^{2} e f^{2} x^{2} + 6 \, a d^{2} e^{2} f x + 2 \, a d^{2} e^{3} - 2 \, {\left(a d^{2} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, a d^{2} e f^{2} x^{2} e^{\left(2 \, c\right)} + 3 \, a d^{2} e^{2} f x e^{\left(2 \, c\right)} + a d^{2} e^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(-4 i \, a d^{2} f^{3} x^{3} e^{c} - 12 i \, a d^{2} e f^{2} x^{2} e^{c} - 12 i \, a d^{2} e^{2} f x e^{c} - 4 i \, a d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}} + 2 \, \int \frac{d^{2} f^{2} x^{2} + 2 \, d^{2} e f x + d^{2} e^{2} - 12 \, f^{2}}{-4 i \, a d^{2} f^{4} x^{4} - 16 i \, a d^{2} e f^{3} x^{3} - 24 i \, a d^{2} e^{2} f^{2} x^{2} - 16 i \, a d^{2} e^{3} f x - 4 i \, a d^{2} e^{4} + 4 \, {\left(a d^{2} f^{4} x^{4} e^{c} + 4 \, a d^{2} e f^{3} x^{3} e^{c} + 6 \, a d^{2} e^{2} f^{2} x^{2} e^{c} + 4 \, a d^{2} e^{3} f x e^{c} + a d^{2} e^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + 2 \, \int \frac{1}{4 i \, a f^{2} x^{2} + 8 i \, a e f x + 4 i \, a e^{2} + 4 \, {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c} + a e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*((d*f*x*e^c + (d*e - 2*f)*e^c)*e^(d*x) + 2*I*f)/(2*a*d^2*f^3*x^3 + 6*a*d^2*e*f^2*x^2 + 6*a*d^2*e^2*f*x + 2*a*d^2*e^3 - 2*(a*d^2*f^3*x^3*e^(2*c) + 3*a*d^2*e*f^2*x^2*e^(2*c) + 3*a*d^2*e^2*f*x*e^(2*c) + a*d^2*e^3*e^(2*c))*e^(2*d*x) - (-4*I*a*d^2*f^3*x^3*e^c - 12*I*a*d^2*e*f^2*x^2*e^c - 12*I*a*d^2*e^2*f*x*e^c - 4*I*a*d^2*e^3*e^c)*e^(d*x)) + 2*integrate((d^2*f^2*x^2 + 2*d^2*e*f*x + d^2*e^2 - 12*f^2)/(-4*I*a*d^2*f^4*x^4 - 16*I*a*d^2*e*f^3*x^3 - 24*I*a*d^2*e^2*f^2*x^2 - 16*I*a*d^2*e^3*f*x - 4*I*a*d^2*e^4 + 4*(a*d^2*f^4*x^4*e^c + 4*a*d^2*e*f^3*x^3*e^c + 6*a*d^2*e^2*f^2*x^2*e^c + 4*a*d^2*e^3*f*x*e^c + a*d^2*e^4*e^c)*e^(d*x)), x) + 2*integrate(1/(4*I*a*f^2*x^2 + 8*I*a*e*f*x + 4*I*a*e^2 + 4*(a*f^2*x^2*e^c + 2*a*e*f*x*e^c + a*e^2*e^c)*e^(d*x)), x)","F",0
277,1,729,0,0.774294," ","integrate((f*x+e)^3*sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, e^{2} f {\left(\frac{24 \, {\left(4 i \, d x e^{\left(4 \, d x + 4 \, c\right)} + {\left(8 \, d x e^{\left(3 \, c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + e^{\left(d x + c\right)}\right)}}{12 i \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a d^{2} e^{\left(d x + c\right)} - 12 i \, a d^{2}} - \frac{3 \, \log\left({\left(e^{\left(d x + c\right)} + i\right)} e^{\left(-c\right)}\right)}{a d^{2}} - \frac{5 \, \log\left(-i \, {\left(i \, e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + 4 \, e^{3} {\left(\frac{2 \, e^{\left(-d x - c\right)}}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d} + \frac{i}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d}\right)} + \frac{4 i \, d^{2} f^{3} x^{3} + 12 i \, d^{2} e f^{2} x^{2} - 6 i \, f^{3} x - 6 i \, e f^{2} + 3 \, {\left(d f^{3} x^{2} e^{\left(3 \, c\right)} + 2 \, e f^{2} e^{\left(3 \, c\right)} + 2 \, {\left(d e f^{2} + f^{3}\right)} x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(-6 i \, f^{3} x e^{\left(2 \, c\right)} - 6 i \, e f^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(8 \, d^{2} f^{3} x^{3} e^{c} - 6 \, e f^{2} e^{c} + 3 \, {\left(8 \, d^{2} e f^{2} - d f^{3}\right)} x^{2} e^{c} - 6 \, {\left(d e f^{2} + f^{3}\right)} x e^{c}\right)} e^{\left(d x\right)}}{3 i \, a d^{3} e^{\left(4 \, d x + 4 \, c\right)} + 6 \, a d^{3} e^{\left(3 \, d x + 3 \, c\right)} + 6 \, a d^{3} e^{\left(d x + c\right)} - 3 i \, a d^{3}} - \frac{5 \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} - \frac{3 \, {\left(d x \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right)\right)} e f^{2}}{a d^{3}} - \frac{2 \, f^{3} x}{a d^{3}} - \frac{5 \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{2 \, a d^{4}} - \frac{3 \, {\left(d^{2} x^{2} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(i \, e^{\left(d x + c\right)})\right)} f^{3}}{2 \, a d^{4}} + \frac{2 \, f^{3} \log\left(e^{\left(d x + c\right)} - i\right)}{a d^{4}} + \frac{4 \, {\left(d^{3} f^{3} x^{3} + 3 \, d^{3} e f^{2} x^{2}\right)}}{3 \, a d^{4}}"," ",0,"1/2*e^2*f*(24*(4*I*d*x*e^(4*d*x + 4*c) + (8*d*x*e^(3*c) + e^(3*c))*e^(3*d*x) + e^(d*x + c))/(12*I*a*d^2*e^(4*d*x + 4*c) + 24*a*d^2*e^(3*d*x + 3*c) + 24*a*d^2*e^(d*x + c) - 12*I*a*d^2) - 3*log((e^(d*x + c) + I)*e^(-c))/(a*d^2) - 5*log(-I*(I*e^(d*x + c) + 1)*e^(-c))/(a*d^2)) + 4*e^3*(2*e^(-d*x - c)/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d) + I/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d)) + (4*I*d^2*f^3*x^3 + 12*I*d^2*e*f^2*x^2 - 6*I*f^3*x - 6*I*e*f^2 + 3*(d*f^3*x^2*e^(3*c) + 2*e*f^2*e^(3*c) + 2*(d*e*f^2 + f^3)*x*e^(3*c))*e^(3*d*x) + (-6*I*f^3*x*e^(2*c) - 6*I*e*f^2*e^(2*c))*e^(2*d*x) - (8*d^2*f^3*x^3*e^c - 6*e*f^2*e^c + 3*(8*d^2*e*f^2 - d*f^3)*x^2*e^c - 6*(d*e*f^2 + f^3)*x*e^c)*e^(d*x))/(3*I*a*d^3*e^(4*d*x + 4*c) + 6*a*d^3*e^(3*d*x + 3*c) + 6*a*d^3*e^(d*x + c) - 3*I*a*d^3) - 5*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f^2/(a*d^3) - 3*(d*x*log(-I*e^(d*x + c) + 1) + dilog(I*e^(d*x + c)))*e*f^2/(a*d^3) - 2*f^3*x/(a*d^3) - 5/2*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^3/(a*d^4) - 3/2*(d^2*x^2*log(-I*e^(d*x + c) + 1) + 2*d*x*dilog(I*e^(d*x + c)) - 2*polylog(3, I*e^(d*x + c)))*f^3/(a*d^4) + 2*f^3*log(e^(d*x + c) - I)/(a*d^4) + 4/3*(d^3*f^3*x^3 + 3*d^3*e*f^2*x^2)/(a*d^4)","A",0
278,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","4 \, f^{2} {\left(\frac{2 i \, d^{2} x^{2} + {\left(d x e^{\left(3 \, c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(4 \, d^{2} x^{2} e^{c} - d x e^{c} - e^{c}\right)} e^{\left(d x\right)} - i \, e^{\left(2 \, d x + 2 \, c\right)} - i}{6 i \, a d^{3} e^{\left(4 \, d x + 4 \, c\right)} + 12 \, a d^{3} e^{\left(3 \, d x + 3 \, c\right)} + 12 \, a d^{3} e^{\left(d x + c\right)} - 6 i \, a d^{3}} + i \, \int \frac{x}{4 \, {\left(a d e^{\left(d x + c\right)} + i \, a d\right)}}\,{d x} - 5 i \, \int \frac{x}{12 \, {\left(a d e^{\left(d x + c\right)} - i \, a d\right)}}\,{d x}\right)} + \frac{1}{3} \, e f {\left(\frac{24 \, {\left(4 i \, d x e^{\left(4 \, d x + 4 \, c\right)} + {\left(8 \, d x e^{\left(3 \, c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + e^{\left(d x + c\right)}\right)}}{12 i \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a d^{2} e^{\left(d x + c\right)} - 12 i \, a d^{2}} - \frac{3 \, \log\left({\left(e^{\left(d x + c\right)} + i\right)} e^{\left(-c\right)}\right)}{a d^{2}} - \frac{5 \, \log\left(-i \, {\left(i \, e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + 4 \, e^{2} {\left(\frac{2 \, e^{\left(-d x - c\right)}}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d} + \frac{i}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d}\right)}"," ",0,"4*f^2*((2*I*d^2*x^2 + (d*x*e^(3*c) + e^(3*c))*e^(3*d*x) - (4*d^2*x^2*e^c - d*x*e^c - e^c)*e^(d*x) - I*e^(2*d*x + 2*c) - I)/(6*I*a*d^3*e^(4*d*x + 4*c) + 12*a*d^3*e^(3*d*x + 3*c) + 12*a*d^3*e^(d*x + c) - 6*I*a*d^3) + I*integrate(1/4*x/(a*d*e^(d*x + c) + I*a*d), x) - 5*I*integrate(1/12*x/(a*d*e^(d*x + c) - I*a*d), x)) + 1/3*e*f*(24*(4*I*d*x*e^(4*d*x + 4*c) + (8*d*x*e^(3*c) + e^(3*c))*e^(3*d*x) + e^(d*x + c))/(12*I*a*d^2*e^(4*d*x + 4*c) + 24*a*d^2*e^(3*d*x + 3*c) + 24*a*d^2*e^(d*x + c) - 12*I*a*d^2) - 3*log((e^(d*x + c) + I)*e^(-c))/(a*d^2) - 5*log(-I*(I*e^(d*x + c) + 1)*e^(-c))/(a*d^2)) + 4*e^2*(2*e^(-d*x - c)/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d) + I/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d))","F",0
279,1,251,0,0.390731," ","integrate((f*x+e)*sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{6} \, f {\left(\frac{24 \, {\left(4 i \, d x e^{\left(4 \, d x + 4 \, c\right)} + {\left(8 \, d x e^{\left(3 \, c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + e^{\left(d x + c\right)}\right)}}{12 i \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} + 24 \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a d^{2} e^{\left(d x + c\right)} - 12 i \, a d^{2}} - \frac{3 \, \log\left({\left(e^{\left(d x + c\right)} + i\right)} e^{\left(-c\right)}\right)}{a d^{2}} - \frac{5 \, \log\left(-i \, {\left(i \, e^{\left(d x + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{a d^{2}}\right)} + 4 \, e {\left(\frac{2 \, e^{\left(-d x - c\right)}}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d} + \frac{i}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d}\right)}"," ",0,"1/6*f*(24*(4*I*d*x*e^(4*d*x + 4*c) + (8*d*x*e^(3*c) + e^(3*c))*e^(3*d*x) + e^(d*x + c))/(12*I*a*d^2*e^(4*d*x + 4*c) + 24*a*d^2*e^(3*d*x + 3*c) + 24*a*d^2*e^(d*x + c) - 12*I*a*d^2) - 3*log((e^(d*x + c) + I)*e^(-c))/(a*d^2) - 5*log(-I*(I*e^(d*x + c) + 1)*e^(-c))/(a*d^2)) + 4*e*(2*e^(-d*x - c)/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d) + I/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d))","A",0
280,1,104,0,0.811499," ","integrate(sech(d*x+c)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{8 \, e^{\left(-d x - c\right)}}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d} + \frac{4 i}{{\left(6 \, a e^{\left(-d x - c\right)} + 6 \, a e^{\left(-3 \, d x - 3 \, c\right)} - 3 i \, a e^{\left(-4 \, d x - 4 \, c\right)} + 3 i \, a\right)} d}"," ",0,"8*e^(-d*x - c)/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d) + 4*I/((6*a*e^(-d*x - c) + 6*a*e^(-3*d*x - 3*c) - 3*I*a*e^(-4*d*x - 4*c) + 3*I*a)*d)","B",0
281,0,0,0,0.000000," ","integrate(sech(d*x+c)^2/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-4 i \, f \int \frac{1}{8 i \, a d f^{2} x^{2} + 16 i \, a d e f x + 8 i \, a d e^{2} + 8 \, {\left(a d f^{2} x^{2} e^{c} + 2 \, a d e f x e^{c} + a d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{4 \, {\left(4 \, d^{2} f^{2} x^{2} + 8 \, d^{2} e f x + 4 \, d^{2} e^{2} - 2 \, f^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, f^{2} + {\left(i \, d f^{2} x e^{\left(3 \, c\right)} + {\left(i \, d e f - 2 i \, f^{2}\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(8 i \, d^{2} f^{2} x^{2} e^{c} + {\left(16 i \, d^{2} e f + i \, d f^{2}\right)} x e^{c} + {\left(8 i \, d^{2} e^{2} + i \, d e f - 2 i \, f^{2}\right)} e^{c}\right)} e^{\left(d x\right)}\right)}}{12 \, a d^{3} f^{3} x^{3} + 36 \, a d^{3} e f^{2} x^{2} + 36 \, a d^{3} e^{2} f x + 12 \, a d^{3} e^{3} - 12 \, {\left(a d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + 3 \, a d^{3} e f^{2} x^{2} e^{\left(4 \, c\right)} + 3 \, a d^{3} e^{2} f x e^{\left(4 \, c\right)} + a d^{3} e^{3} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(-24 i \, a d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} - 72 i \, a d^{3} e f^{2} x^{2} e^{\left(3 \, c\right)} - 72 i \, a d^{3} e^{2} f x e^{\left(3 \, c\right)} - 24 i \, a d^{3} e^{3} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(-24 i \, a d^{3} f^{3} x^{3} e^{c} - 72 i \, a d^{3} e f^{2} x^{2} e^{c} - 72 i \, a d^{3} e^{2} f x e^{c} - 24 i \, a d^{3} e^{3} e^{c}\right)} e^{\left(d x\right)}} - 4 \, \int \frac{5 \, d^{2} f^{3} x^{2} + 10 \, d^{2} e f^{2} x + 5 \, d^{2} e^{2} f - 12 \, f^{3}}{24 \, a d^{3} f^{4} x^{4} + 96 \, a d^{3} e f^{3} x^{3} + 144 \, a d^{3} e^{2} f^{2} x^{2} + 96 \, a d^{3} e^{3} f x + 24 \, a d^{3} e^{4} + {\left(24 i \, a d^{3} f^{4} x^{4} e^{c} + 96 i \, a d^{3} e f^{3} x^{3} e^{c} + 144 i \, a d^{3} e^{2} f^{2} x^{2} e^{c} + 96 i \, a d^{3} e^{3} f x e^{c} + 24 i \, a d^{3} e^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-4*I*f*integrate(1/(8*I*a*d*f^2*x^2 + 16*I*a*d*e*f*x + 8*I*a*d*e^2 + 8*(a*d*f^2*x^2*e^c + 2*a*d*e*f*x*e^c + a*d*e^2*e^c)*e^(d*x)), x) - 4*(4*d^2*f^2*x^2 + 8*d^2*e*f*x + 4*d^2*e^2 - 2*f^2*e^(2*d*x + 2*c) - 2*f^2 + (I*d*f^2*x*e^(3*c) + (I*d*e*f - 2*I*f^2)*e^(3*c))*e^(3*d*x) + (8*I*d^2*f^2*x^2*e^c + (16*I*d^2*e*f + I*d*f^2)*x*e^c + (8*I*d^2*e^2 + I*d*e*f - 2*I*f^2)*e^c)*e^(d*x))/(12*a*d^3*f^3*x^3 + 36*a*d^3*e*f^2*x^2 + 36*a*d^3*e^2*f*x + 12*a*d^3*e^3 - 12*(a*d^3*f^3*x^3*e^(4*c) + 3*a*d^3*e*f^2*x^2*e^(4*c) + 3*a*d^3*e^2*f*x*e^(4*c) + a*d^3*e^3*e^(4*c))*e^(4*d*x) - (-24*I*a*d^3*f^3*x^3*e^(3*c) - 72*I*a*d^3*e*f^2*x^2*e^(3*c) - 72*I*a*d^3*e^2*f*x*e^(3*c) - 24*I*a*d^3*e^3*e^(3*c))*e^(3*d*x) - (-24*I*a*d^3*f^3*x^3*e^c - 72*I*a*d^3*e*f^2*x^2*e^c - 72*I*a*d^3*e^2*f*x*e^c - 24*I*a*d^3*e^3*e^c)*e^(d*x)) - 4*integrate((5*d^2*f^3*x^2 + 10*d^2*e*f^2*x + 5*d^2*e^2*f - 12*f^3)/(24*a*d^3*f^4*x^4 + 96*a*d^3*e*f^3*x^3 + 144*a*d^3*e^2*f^2*x^2 + 96*a*d^3*e^3*f*x + 24*a*d^3*e^4 + (24*I*a*d^3*f^4*x^4*e^c + 96*I*a*d^3*e*f^3*x^3*e^c + 144*I*a*d^3*e^2*f^2*x^2*e^c + 96*I*a*d^3*e^3*f*x*e^c + 24*I*a*d^3*e^4*e^c)*e^(d*x)), x)","F",0
282,0,0,0,0.000000," ","integrate(sech(d*x+c)^2/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-4 i \, f \int \frac{1}{4 i \, a d f^{3} x^{3} + 12 i \, a d e f^{2} x^{2} + 12 i \, a d e^{2} f x + 4 i \, a d e^{3} + 4 \, {\left(a d f^{3} x^{3} e^{c} + 3 \, a d e f^{2} x^{2} e^{c} + 3 \, a d e^{2} f x e^{c} + a d e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{4 \, {\left(2 \, d^{2} f^{2} x^{2} + 4 \, d^{2} e f x + 2 \, d^{2} e^{2} - 3 \, f^{2} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, f^{2} + {\left(i \, d f^{2} x e^{\left(3 \, c\right)} + {\left(i \, d e f - 3 i \, f^{2}\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(4 i \, d^{2} f^{2} x^{2} e^{c} + {\left(8 i \, d^{2} e f + i \, d f^{2}\right)} x e^{c} + {\left(4 i \, d^{2} e^{2} + i \, d e f - 3 i \, f^{2}\right)} e^{c}\right)} e^{\left(d x\right)}\right)}}{6 \, a d^{3} f^{4} x^{4} + 24 \, a d^{3} e f^{3} x^{3} + 36 \, a d^{3} e^{2} f^{2} x^{2} + 24 \, a d^{3} e^{3} f x + 6 \, a d^{3} e^{4} - 6 \, {\left(a d^{3} f^{4} x^{4} e^{\left(4 \, c\right)} + 4 \, a d^{3} e f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, a d^{3} e^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 4 \, a d^{3} e^{3} f x e^{\left(4 \, c\right)} + a d^{3} e^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(-12 i \, a d^{3} f^{4} x^{4} e^{\left(3 \, c\right)} - 48 i \, a d^{3} e f^{3} x^{3} e^{\left(3 \, c\right)} - 72 i \, a d^{3} e^{2} f^{2} x^{2} e^{\left(3 \, c\right)} - 48 i \, a d^{3} e^{3} f x e^{\left(3 \, c\right)} - 12 i \, a d^{3} e^{4} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(-12 i \, a d^{3} f^{4} x^{4} e^{c} - 48 i \, a d^{3} e f^{3} x^{3} e^{c} - 72 i \, a d^{3} e^{2} f^{2} x^{2} e^{c} - 48 i \, a d^{3} e^{3} f x e^{c} - 12 i \, a d^{3} e^{4} e^{c}\right)} e^{\left(d x\right)}} - 4 \, \int \frac{5 \, d^{2} f^{3} x^{2} + 10 \, d^{2} e f^{2} x + 5 \, d^{2} e^{2} f - 24 \, f^{3}}{12 \, a d^{3} f^{5} x^{5} + 60 \, a d^{3} e f^{4} x^{4} + 120 \, a d^{3} e^{2} f^{3} x^{3} + 120 \, a d^{3} e^{3} f^{2} x^{2} + 60 \, a d^{3} e^{4} f x + 12 \, a d^{3} e^{5} + {\left(12 i \, a d^{3} f^{5} x^{5} e^{c} + 60 i \, a d^{3} e f^{4} x^{4} e^{c} + 120 i \, a d^{3} e^{2} f^{3} x^{3} e^{c} + 120 i \, a d^{3} e^{3} f^{2} x^{2} e^{c} + 60 i \, a d^{3} e^{4} f x e^{c} + 12 i \, a d^{3} e^{5} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-4*I*f*integrate(1/(4*I*a*d*f^3*x^3 + 12*I*a*d*e*f^2*x^2 + 12*I*a*d*e^2*f*x + 4*I*a*d*e^3 + 4*(a*d*f^3*x^3*e^c + 3*a*d*e*f^2*x^2*e^c + 3*a*d*e^2*f*x*e^c + a*d*e^3*e^c)*e^(d*x)), x) - 4*(2*d^2*f^2*x^2 + 4*d^2*e*f*x + 2*d^2*e^2 - 3*f^2*e^(2*d*x + 2*c) - 3*f^2 + (I*d*f^2*x*e^(3*c) + (I*d*e*f - 3*I*f^2)*e^(3*c))*e^(3*d*x) + (4*I*d^2*f^2*x^2*e^c + (8*I*d^2*e*f + I*d*f^2)*x*e^c + (4*I*d^2*e^2 + I*d*e*f - 3*I*f^2)*e^c)*e^(d*x))/(6*a*d^3*f^4*x^4 + 24*a*d^3*e*f^3*x^3 + 36*a*d^3*e^2*f^2*x^2 + 24*a*d^3*e^3*f*x + 6*a*d^3*e^4 - 6*(a*d^3*f^4*x^4*e^(4*c) + 4*a*d^3*e*f^3*x^3*e^(4*c) + 6*a*d^3*e^2*f^2*x^2*e^(4*c) + 4*a*d^3*e^3*f*x*e^(4*c) + a*d^3*e^4*e^(4*c))*e^(4*d*x) - (-12*I*a*d^3*f^4*x^4*e^(3*c) - 48*I*a*d^3*e*f^3*x^3*e^(3*c) - 72*I*a*d^3*e^2*f^2*x^2*e^(3*c) - 48*I*a*d^3*e^3*f*x*e^(3*c) - 12*I*a*d^3*e^4*e^(3*c))*e^(3*d*x) - (-12*I*a*d^3*f^4*x^4*e^c - 48*I*a*d^3*e*f^3*x^3*e^c - 72*I*a*d^3*e^2*f^2*x^2*e^c - 48*I*a*d^3*e^3*f*x*e^c - 12*I*a*d^3*e^4*e^c)*e^(d*x)) - 4*integrate((5*d^2*f^3*x^2 + 10*d^2*e*f^2*x + 5*d^2*e^2*f - 24*f^3)/(12*a*d^3*f^5*x^5 + 60*a*d^3*e*f^4*x^4 + 120*a*d^3*e^2*f^3*x^3 + 120*a*d^3*e^3*f^2*x^2 + 60*a*d^3*e^4*f*x + 12*a*d^3*e^5 + (12*I*a*d^3*f^5*x^5*e^c + 60*I*a*d^3*e*f^4*x^4*e^c + 120*I*a*d^3*e^2*f^3*x^3*e^c + 120*I*a*d^3*e^3*f^2*x^2*e^c + 60*I*a*d^3*e^4*f*x*e^c + 12*I*a*d^3*e^5*e^c)*e^(d*x)), x)","F",0
283,1,1333,0,1.412440," ","integrate((f*x+e)^3*sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{3} {\left(\frac{64 \, {\left(3 \, e^{\left(-d x - c\right)} - 6 i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, e^{\left(-3 \, d x - 3 \, c\right)} + 6 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)}\right)}}{{\left(64 i \, a e^{\left(-d x - c\right)} - 32 \, a e^{\left(-2 \, d x - 2 \, c\right)} + 128 i \, a e^{\left(-3 \, d x - 3 \, c\right)} + 32 \, a e^{\left(-4 \, d x - 4 \, c\right)} + 64 i \, a e^{\left(-5 \, d x - 5 \, c\right)} + 32 \, a e^{\left(-6 \, d x - 6 \, c\right)} - 32 \, a\right)} d} + \frac{3 i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{a d} - \frac{3 i \, \log\left(e^{\left(-d x - c\right)} - i\right)}{a d}\right)} - \frac{2 i \, e f^{2} x}{a d^{2}} + \frac{-4 i \, d^{2} f^{3} x^{2} - 8 i \, d^{2} e f^{2} x - 4 i \, d^{2} e^{2} f + 2 i \, f^{3} + {\left(3 \, d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 9 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} x^{2} e^{\left(5 \, c\right)} + {\left(9 \, d^{3} e^{2} f + 18 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{\left(5 \, c\right)} + {\left(9 \, d^{2} e^{2} f - 2 \, d e f^{2} - 2 \, f^{3}\right)} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-6 i \, d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + {\left(-18 i \, d^{3} e f^{2} - 18 i \, d^{2} f^{3}\right)} x^{2} e^{\left(4 \, c\right)} + {\left(-18 i \, d^{3} e^{2} f - 36 i \, d^{2} e f^{2}\right)} x e^{\left(4 \, c\right)} + {\left(-18 i \, d^{2} e^{2} f + 2 i \, f^{3}\right)} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + {\left(3 \, d^{3} e f^{2} + 4 \, d^{2} f^{3}\right)} x^{2} e^{\left(3 \, c\right)} + {\left(3 \, d^{3} e^{2} f + 8 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{\left(3 \, c\right)} + 2 \, {\left(2 \, d^{2} e^{2} f - d e f^{2} - f^{3}\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(6 i \, d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + {\left(18 i \, d^{3} e f^{2} - 22 i \, d^{2} f^{3}\right)} x^{2} e^{\left(2 \, c\right)} + {\left(18 i \, d^{3} e^{2} f - 44 i \, d^{2} e f^{2}\right)} x e^{\left(2 \, c\right)} + {\left(-22 i \, d^{2} e^{2} f + 4 i \, f^{3}\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(3 \, d^{3} f^{3} x^{3} e^{c} + {\left(9 \, d^{3} e f^{2} - d^{2} f^{3}\right)} x^{2} e^{c} + {\left(9 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{c} - {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} e^{c}\right)} e^{\left(d x\right)}}{4 \, a d^{4} e^{\left(6 \, d x + 6 \, c\right)} - 8 i \, a d^{4} e^{\left(5 \, d x + 5 \, c\right)} + 4 \, a d^{4} e^{\left(4 \, d x + 4 \, c\right)} - 16 i \, a d^{4} e^{\left(3 \, d x + 3 \, c\right)} - 4 \, a d^{4} e^{\left(2 \, d x + 2 \, c\right)} - 8 i \, a d^{4} e^{\left(d x + c\right)} - 4 \, a d^{4}} - \frac{9 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} e f^{2}}{8 \, a d^{3}} + \frac{9 i \, {\left(d^{2} x^{2} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(i \, e^{\left(d x + c\right)})\right)} e f^{2}}{8 \, a d^{3}} + \frac{7 i \, e f^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{2 \, a d^{3}} - \frac{3 i \, e f^{2} \log\left(i \, e^{\left(d x + c\right)} - 1\right)}{2 \, a d^{3}} - \frac{3 i \, {\left(d^{3} x^{3} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-i \, e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-i \, e^{\left(d x + c\right)})\right)} f^{3}}{8 \, a d^{4}} + \frac{3 i \, {\left(d^{3} x^{3} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(i \, e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(i \, e^{\left(d x + c\right)})\right)} f^{3}}{8 \, a d^{4}} - \frac{i \, {\left(9 \, d^{2} e^{2} f - 28 \, f^{3}\right)} {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)}}{8 \, a d^{4}} + \frac{3 i \, {\left(3 \, d^{2} e^{2} f - 4 \, f^{3}\right)} {\left(d x \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right)\right)}}{8 \, a d^{4}} - \frac{3 i \, d^{4} f^{3} x^{4} + 12 i \, d^{4} e f^{2} x^{3} + {\left(18 i \, d^{2} e^{2} f - 24 i \, f^{3}\right)} d^{2} x^{2}}{32 \, a d^{4}} + \frac{3 i \, d^{4} f^{3} x^{4} + 12 i \, d^{4} e f^{2} x^{3} + {\left(18 i \, d^{2} e^{2} f - 56 i \, f^{3}\right)} d^{2} x^{2}}{32 \, a d^{4}}"," ",0,"-1/8*e^3*(64*(3*e^(-d*x - c) - 6*I*e^(-2*d*x - 2*c) + 2*e^(-3*d*x - 3*c) + 6*I*e^(-4*d*x - 4*c) + 3*e^(-5*d*x - 5*c))/((64*I*a*e^(-d*x - c) - 32*a*e^(-2*d*x - 2*c) + 128*I*a*e^(-3*d*x - 3*c) + 32*a*e^(-4*d*x - 4*c) + 64*I*a*e^(-5*d*x - 5*c) + 32*a*e^(-6*d*x - 6*c) - 32*a)*d) + 3*I*log(e^(-d*x - c) + I)/(a*d) - 3*I*log(e^(-d*x - c) - I)/(a*d)) - 2*I*e*f^2*x/(a*d^2) + (-4*I*d^2*f^3*x^2 - 8*I*d^2*e*f^2*x - 4*I*d^2*e^2*f + 2*I*f^3 + (3*d^3*f^3*x^3*e^(5*c) + 9*(d^3*e*f^2 + d^2*f^3)*x^2*e^(5*c) + (9*d^3*e^2*f + 18*d^2*e*f^2 - 2*d*f^3)*x*e^(5*c) + (9*d^2*e^2*f - 2*d*e*f^2 - 2*f^3)*e^(5*c))*e^(5*d*x) + (-6*I*d^3*f^3*x^3*e^(4*c) + (-18*I*d^3*e*f^2 - 18*I*d^2*f^3)*x^2*e^(4*c) + (-18*I*d^3*e^2*f - 36*I*d^2*e*f^2)*x*e^(4*c) + (-18*I*d^2*e^2*f + 2*I*f^3)*e^(4*c))*e^(4*d*x) + 2*(d^3*f^3*x^3*e^(3*c) + (3*d^3*e*f^2 + 4*d^2*f^3)*x^2*e^(3*c) + (3*d^3*e^2*f + 8*d^2*e*f^2 - 2*d*f^3)*x*e^(3*c) + 2*(2*d^2*e^2*f - d*e*f^2 - f^3)*e^(3*c))*e^(3*d*x) + (6*I*d^3*f^3*x^3*e^(2*c) + (18*I*d^3*e*f^2 - 22*I*d^2*f^3)*x^2*e^(2*c) + (18*I*d^3*e^2*f - 44*I*d^2*e*f^2)*x*e^(2*c) + (-22*I*d^2*e^2*f + 4*I*f^3)*e^(2*c))*e^(2*d*x) + (3*d^3*f^3*x^3*e^c + (9*d^3*e*f^2 - d^2*f^3)*x^2*e^c + (9*d^3*e^2*f - 2*d^2*e*f^2 - 2*d*f^3)*x*e^c - (d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*e^c)*e^(d*x))/(4*a*d^4*e^(6*d*x + 6*c) - 8*I*a*d^4*e^(5*d*x + 5*c) + 4*a*d^4*e^(4*d*x + 4*c) - 16*I*a*d^4*e^(3*d*x + 3*c) - 4*a*d^4*e^(2*d*x + 2*c) - 8*I*a*d^4*e^(d*x + c) - 4*a*d^4) - 9/8*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*e*f^2/(a*d^3) + 9/8*I*(d^2*x^2*log(-I*e^(d*x + c) + 1) + 2*d*x*dilog(I*e^(d*x + c)) - 2*polylog(3, I*e^(d*x + c)))*e*f^2/(a*d^3) + 7/2*I*e*f^2*log(I*e^(d*x + c) + 1)/(a*d^3) - 3/2*I*e*f^2*log(I*e^(d*x + c) - 1)/(a*d^3) - 3/8*I*(d^3*x^3*log(I*e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-I*e^(d*x + c)) - 6*d*x*polylog(3, -I*e^(d*x + c)) + 6*polylog(4, -I*e^(d*x + c)))*f^3/(a*d^4) + 3/8*I*(d^3*x^3*log(-I*e^(d*x + c) + 1) + 3*d^2*x^2*dilog(I*e^(d*x + c)) - 6*d*x*polylog(3, I*e^(d*x + c)) + 6*polylog(4, I*e^(d*x + c)))*f^3/(a*d^4) - 1/8*I*(9*d^2*e^2*f - 28*f^3)*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))/(a*d^4) + 3/8*I*(3*d^2*e^2*f - 4*f^3)*(d*x*log(-I*e^(d*x + c) + 1) + dilog(I*e^(d*x + c)))/(a*d^4) - 1/32*(3*I*d^4*f^3*x^4 + 12*I*d^4*e*f^2*x^3 + (18*I*d^2*e^2*f - 24*I*f^3)*d^2*x^2)/(a*d^4) + 1/32*(3*I*d^4*f^3*x^4 + 12*I*d^4*e*f^2*x^3 + (18*I*d^2*e^2*f - 56*I*f^3)*d^2*x^2)/(a*d^4)","B",0
284,1,801,0,0.935607," ","integrate((f*x+e)^2*sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{2} {\left(\frac{64 \, {\left(3 \, e^{\left(-d x - c\right)} - 6 i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, e^{\left(-3 \, d x - 3 \, c\right)} + 6 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)}\right)}}{{\left(64 i \, a e^{\left(-d x - c\right)} - 32 \, a e^{\left(-2 \, d x - 2 \, c\right)} + 128 i \, a e^{\left(-3 \, d x - 3 \, c\right)} + 32 \, a e^{\left(-4 \, d x - 4 \, c\right)} + 64 i \, a e^{\left(-5 \, d x - 5 \, c\right)} + 32 \, a e^{\left(-6 \, d x - 6 \, c\right)} - 32 \, a\right)} d} + \frac{3 i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{a d} - \frac{3 i \, \log\left(e^{\left(-d x - c\right)} - i\right)}{a d}\right)} + \frac{-8 i \, d f^{2} x - 8 i \, d e f + {\left(9 \, d^{2} f^{2} x^{2} e^{\left(5 \, c\right)} + 18 \, {\left(d^{2} e f + d f^{2}\right)} x e^{\left(5 \, c\right)} + 2 \, {\left(9 \, d e f - f^{2}\right)} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-18 i \, d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} - 36 i \, d e f e^{\left(4 \, c\right)} + {\left(-36 i \, d^{2} e f - 36 i \, d f^{2}\right)} x e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(3 \, d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, {\left(3 \, d^{2} e f + 4 \, d f^{2}\right)} x e^{\left(3 \, c\right)} + 2 \, {\left(4 \, d e f - f^{2}\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(18 i \, d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} - 44 i \, d e f e^{\left(2 \, c\right)} + {\left(36 i \, d^{2} e f - 44 i \, d f^{2}\right)} x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(9 \, d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(9 \, d^{2} e f - d f^{2}\right)} x e^{c} - 2 \, {\left(d e f + f^{2}\right)} e^{c}\right)} e^{\left(d x\right)}}{12 \, a d^{3} e^{\left(6 \, d x + 6 \, c\right)} - 24 i \, a d^{3} e^{\left(5 \, d x + 5 \, c\right)} + 12 \, a d^{3} e^{\left(4 \, d x + 4 \, c\right)} - 48 i \, a d^{3} e^{\left(3 \, d x + 3 \, c\right)} - 12 \, a d^{3} e^{\left(2 \, d x + 2 \, c\right)} - 24 i \, a d^{3} e^{\left(d x + c\right)} - 12 \, a d^{3}} - \frac{3 i \, {\left(d x \log\left(i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right)\right)} e f}{4 \, a d^{2}} + \frac{3 i \, {\left(d x \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right)\right)} e f}{4 \, a d^{2}} - \frac{2 i \, f^{2} x}{3 \, a d^{2}} - \frac{3 i \, {\left(d^{2} x^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-i \, e^{\left(d x + c\right)})\right)} f^{2}}{8 \, a d^{3}} + \frac{3 i \, {\left(d^{2} x^{2} \log\left(-i \, e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(i \, e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(i \, e^{\left(d x + c\right)})\right)} f^{2}}{8 \, a d^{3}} + \frac{7 i \, f^{2} \log\left(i \, e^{\left(d x + c\right)} + 1\right)}{6 \, a d^{3}} - \frac{i \, f^{2} \log\left(i \, e^{\left(d x + c\right)} - 1\right)}{2 \, a d^{3}}"," ",0,"-1/8*e^2*(64*(3*e^(-d*x - c) - 6*I*e^(-2*d*x - 2*c) + 2*e^(-3*d*x - 3*c) + 6*I*e^(-4*d*x - 4*c) + 3*e^(-5*d*x - 5*c))/((64*I*a*e^(-d*x - c) - 32*a*e^(-2*d*x - 2*c) + 128*I*a*e^(-3*d*x - 3*c) + 32*a*e^(-4*d*x - 4*c) + 64*I*a*e^(-5*d*x - 5*c) + 32*a*e^(-6*d*x - 6*c) - 32*a)*d) + 3*I*log(e^(-d*x - c) + I)/(a*d) - 3*I*log(e^(-d*x - c) - I)/(a*d)) + (-8*I*d*f^2*x - 8*I*d*e*f + (9*d^2*f^2*x^2*e^(5*c) + 18*(d^2*e*f + d*f^2)*x*e^(5*c) + 2*(9*d*e*f - f^2)*e^(5*c))*e^(5*d*x) + (-18*I*d^2*f^2*x^2*e^(4*c) - 36*I*d*e*f*e^(4*c) + (-36*I*d^2*e*f - 36*I*d*f^2)*x*e^(4*c))*e^(4*d*x) + 2*(3*d^2*f^2*x^2*e^(3*c) + 2*(3*d^2*e*f + 4*d*f^2)*x*e^(3*c) + 2*(4*d*e*f - f^2)*e^(3*c))*e^(3*d*x) + (18*I*d^2*f^2*x^2*e^(2*c) - 44*I*d*e*f*e^(2*c) + (36*I*d^2*e*f - 44*I*d*f^2)*x*e^(2*c))*e^(2*d*x) + (9*d^2*f^2*x^2*e^c + 2*(9*d^2*e*f - d*f^2)*x*e^c - 2*(d*e*f + f^2)*e^c)*e^(d*x))/(12*a*d^3*e^(6*d*x + 6*c) - 24*I*a*d^3*e^(5*d*x + 5*c) + 12*a*d^3*e^(4*d*x + 4*c) - 48*I*a*d^3*e^(3*d*x + 3*c) - 12*a*d^3*e^(2*d*x + 2*c) - 24*I*a*d^3*e^(d*x + c) - 12*a*d^3) - 3/4*I*(d*x*log(I*e^(d*x + c) + 1) + dilog(-I*e^(d*x + c)))*e*f/(a*d^2) + 3/4*I*(d*x*log(-I*e^(d*x + c) + 1) + dilog(I*e^(d*x + c)))*e*f/(a*d^2) - 2/3*I*f^2*x/(a*d^2) - 3/8*I*(d^2*x^2*log(I*e^(d*x + c) + 1) + 2*d*x*dilog(-I*e^(d*x + c)) - 2*polylog(3, -I*e^(d*x + c)))*f^2/(a*d^3) + 3/8*I*(d^2*x^2*log(-I*e^(d*x + c) + 1) + 2*d*x*dilog(I*e^(d*x + c)) - 2*polylog(3, I*e^(d*x + c)))*f^2/(a*d^3) + 7/6*I*f^2*log(I*e^(d*x + c) + 1)/(a*d^3) - 1/2*I*f^2*log(I*e^(d*x + c) - 1)/(a*d^3)","B",0
285,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","8 \, f {\left(\frac{9 \, {\left(d x e^{\left(5 \, c\right)} + e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-18 i \, d x e^{\left(4 \, c\right)} - 18 i \, e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(3 \, d x e^{\left(3 \, c\right)} + 4 \, e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(18 i \, d x e^{\left(2 \, c\right)} - 22 i \, e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(9 \, d x e^{c} - e^{c}\right)} e^{\left(d x\right)} - 4 i}{96 \, a d^{2} e^{\left(6 \, d x + 6 \, c\right)} - 192 i \, a d^{2} e^{\left(5 \, d x + 5 \, c\right)} + 96 \, a d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 384 i \, a d^{2} e^{\left(3 \, d x + 3 \, c\right)} - 96 \, a d^{2} e^{\left(2 \, d x + 2 \, c\right)} - 192 i \, a d^{2} e^{\left(d x + c\right)} - 96 \, a d^{2}} + 3 \, \int \frac{x}{64 \, a e^{\left(d x + c\right)} + 64 i \, a}\,{d x} + 3 \, \int \frac{x}{64 \, a e^{\left(d x + c\right)} - 64 i \, a}\,{d x}\right)} - \frac{1}{8} \, e {\left(\frac{64 \, {\left(3 \, e^{\left(-d x - c\right)} - 6 i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, e^{\left(-3 \, d x - 3 \, c\right)} + 6 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)}\right)}}{{\left(64 i \, a e^{\left(-d x - c\right)} - 32 \, a e^{\left(-2 \, d x - 2 \, c\right)} + 128 i \, a e^{\left(-3 \, d x - 3 \, c\right)} + 32 \, a e^{\left(-4 \, d x - 4 \, c\right)} + 64 i \, a e^{\left(-5 \, d x - 5 \, c\right)} + 32 \, a e^{\left(-6 \, d x - 6 \, c\right)} - 32 \, a\right)} d} + \frac{3 i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{a d} - \frac{3 i \, \log\left(e^{\left(-d x - c\right)} - i\right)}{a d}\right)}"," ",0,"8*f*((9*(d*x*e^(5*c) + e^(5*c))*e^(5*d*x) + (-18*I*d*x*e^(4*c) - 18*I*e^(4*c))*e^(4*d*x) + 2*(3*d*x*e^(3*c) + 4*e^(3*c))*e^(3*d*x) + (18*I*d*x*e^(2*c) - 22*I*e^(2*c))*e^(2*d*x) + (9*d*x*e^c - e^c)*e^(d*x) - 4*I)/(96*a*d^2*e^(6*d*x + 6*c) - 192*I*a*d^2*e^(5*d*x + 5*c) + 96*a*d^2*e^(4*d*x + 4*c) - 384*I*a*d^2*e^(3*d*x + 3*c) - 96*a*d^2*e^(2*d*x + 2*c) - 192*I*a*d^2*e^(d*x + c) - 96*a*d^2) + 3*integrate(x/(64*a*e^(d*x + c) + 64*I*a), x) + 3*integrate(x/(64*a*e^(d*x + c) - 64*I*a), x)) - 1/8*e*(64*(3*e^(-d*x - c) - 6*I*e^(-2*d*x - 2*c) + 2*e^(-3*d*x - 3*c) + 6*I*e^(-4*d*x - 4*c) + 3*e^(-5*d*x - 5*c))/((64*I*a*e^(-d*x - c) - 32*a*e^(-2*d*x - 2*c) + 128*I*a*e^(-3*d*x - 3*c) + 32*a*e^(-4*d*x - 4*c) + 64*I*a*e^(-5*d*x - 5*c) + 32*a*e^(-6*d*x - 6*c) - 32*a)*d) + 3*I*log(e^(-d*x - c) + I)/(a*d) - 3*I*log(e^(-d*x - c) - I)/(a*d))","F",0
286,1,180,0,0.330587," ","integrate(sech(d*x+c)^3/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{8 \, {\left(3 \, e^{\left(-d x - c\right)} - 6 i \, e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, e^{\left(-3 \, d x - 3 \, c\right)} + 6 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, e^{\left(-5 \, d x - 5 \, c\right)}\right)}}{{\left(64 i \, a e^{\left(-d x - c\right)} - 32 \, a e^{\left(-2 \, d x - 2 \, c\right)} + 128 i \, a e^{\left(-3 \, d x - 3 \, c\right)} + 32 \, a e^{\left(-4 \, d x - 4 \, c\right)} + 64 i \, a e^{\left(-5 \, d x - 5 \, c\right)} + 32 \, a e^{\left(-6 \, d x - 6 \, c\right)} - 32 \, a\right)} d} - \frac{3 i \, \log\left(e^{\left(-d x - c\right)} + i\right)}{8 \, a d} + \frac{3 i \, \log\left(e^{\left(-d x - c\right)} - i\right)}{8 \, a d}"," ",0,"-8*(3*e^(-d*x - c) - 6*I*e^(-2*d*x - 2*c) + 2*e^(-3*d*x - 3*c) + 6*I*e^(-4*d*x - 4*c) + 3*e^(-5*d*x - 5*c))/((64*I*a*e^(-d*x - c) - 32*a*e^(-2*d*x - 2*c) + 128*I*a*e^(-3*d*x - 3*c) + 32*a*e^(-4*d*x - 4*c) + 64*I*a*e^(-5*d*x - 5*c) + 32*a*e^(-6*d*x - 6*c) - 32*a)*d) - 3/8*I*log(e^(-d*x - c) + I)/(a*d) + 3/8*I*log(e^(-d*x - c) - I)/(a*d)","B",0
287,0,0,0,0.000000," ","integrate(sech(d*x+c)^3/(f*x+e)/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{8 \, {\left(4 i \, d^{2} f^{3} x^{2} + 8 i \, d^{2} e f^{2} x + 4 i \, d^{2} e^{2} f - 6 i \, f^{3} + {\left(9 \, d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} x^{2} e^{\left(5 \, c\right)} + {\left(27 \, d^{3} e^{2} f - 18 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{\left(5 \, c\right)} + {\left(9 \, d^{3} e^{3} - 9 \, d^{2} e^{2} f - 2 \, d e f^{2} + 6 \, f^{3}\right)} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-18 i \, d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + {\left(-54 i \, d^{3} e f^{2} + 18 i \, d^{2} f^{3}\right)} x^{2} e^{\left(4 \, c\right)} + {\left(-54 i \, d^{3} e^{2} f + 36 i \, d^{2} e f^{2}\right)} x e^{\left(4 \, c\right)} + {\left(-18 i \, d^{3} e^{3} + 18 i \, d^{2} e^{2} f - 6 i \, f^{3}\right)} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(3 \, d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + {\left(9 \, d^{3} e f^{2} - 4 \, d^{2} f^{3}\right)} x^{2} e^{\left(3 \, c\right)} + {\left(9 \, d^{3} e^{2} f - 8 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{\left(3 \, c\right)} + {\left(3 \, d^{3} e^{3} - 4 \, d^{2} e^{2} f - 2 \, d e f^{2} + 6 \, f^{3}\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(18 i \, d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + {\left(54 i \, d^{3} e f^{2} + 22 i \, d^{2} f^{3}\right)} x^{2} e^{\left(2 \, c\right)} + {\left(54 i \, d^{3} e^{2} f + 44 i \, d^{2} e f^{2}\right)} x e^{\left(2 \, c\right)} + {\left(18 i \, d^{3} e^{3} + 22 i \, d^{2} e^{2} f - 12 i \, f^{3}\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(9 \, d^{3} f^{3} x^{3} e^{c} + {\left(27 \, d^{3} e f^{2} + d^{2} f^{3}\right)} x^{2} e^{c} + {\left(27 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{c} + {\left(9 \, d^{3} e^{3} + d^{2} e^{2} f - 2 \, d e f^{2} + 6 \, f^{3}\right)} e^{c}\right)} e^{\left(d x\right)}\right)}}{96 \, a d^{4} f^{4} x^{4} + 384 \, a d^{4} e f^{3} x^{3} + 576 \, a d^{4} e^{2} f^{2} x^{2} + 384 \, a d^{4} e^{3} f x + 96 \, a d^{4} e^{4} - 96 \, {\left(a d^{4} f^{4} x^{4} e^{\left(6 \, c\right)} + 4 \, a d^{4} e f^{3} x^{3} e^{\left(6 \, c\right)} + 6 \, a d^{4} e^{2} f^{2} x^{2} e^{\left(6 \, c\right)} + 4 \, a d^{4} e^{3} f x e^{\left(6 \, c\right)} + a d^{4} e^{4} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(-192 i \, a d^{4} f^{4} x^{4} e^{\left(5 \, c\right)} - 768 i \, a d^{4} e f^{3} x^{3} e^{\left(5 \, c\right)} - 1152 i \, a d^{4} e^{2} f^{2} x^{2} e^{\left(5 \, c\right)} - 768 i \, a d^{4} e^{3} f x e^{\left(5 \, c\right)} - 192 i \, a d^{4} e^{4} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - 96 \, {\left(a d^{4} f^{4} x^{4} e^{\left(4 \, c\right)} + 4 \, a d^{4} e f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, a d^{4} e^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 4 \, a d^{4} e^{3} f x e^{\left(4 \, c\right)} + a d^{4} e^{4} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(-384 i \, a d^{4} f^{4} x^{4} e^{\left(3 \, c\right)} - 1536 i \, a d^{4} e f^{3} x^{3} e^{\left(3 \, c\right)} - 2304 i \, a d^{4} e^{2} f^{2} x^{2} e^{\left(3 \, c\right)} - 1536 i \, a d^{4} e^{3} f x e^{\left(3 \, c\right)} - 384 i \, a d^{4} e^{4} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 96 \, {\left(a d^{4} f^{4} x^{4} e^{\left(2 \, c\right)} + 4 \, a d^{4} e f^{3} x^{3} e^{\left(2 \, c\right)} + 6 \, a d^{4} e^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 4 \, a d^{4} e^{3} f x e^{\left(2 \, c\right)} + a d^{4} e^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(-192 i \, a d^{4} f^{4} x^{4} e^{c} - 768 i \, a d^{4} e f^{3} x^{3} e^{c} - 1152 i \, a d^{4} e^{2} f^{2} x^{2} e^{c} - 768 i \, a d^{4} e^{3} f x e^{c} - 192 i \, a d^{4} e^{4} e^{c}\right)} e^{\left(d x\right)}} + 8 \, \int \frac{9 \, d^{4} f^{4} x^{4} + 36 \, d^{4} e f^{3} x^{3} + 9 \, d^{4} e^{4} - 28 \, d^{2} e^{2} f^{2} + 48 \, f^{4} + 2 \, {\left(27 \, d^{4} e^{2} f^{2} - 14 \, d^{2} f^{4}\right)} x^{2} + 4 \, {\left(9 \, d^{4} e^{3} f - 14 \, d^{2} e f^{3}\right)} x}{-192 i \, a d^{4} f^{5} x^{5} - 960 i \, a d^{4} e f^{4} x^{4} - 1920 i \, a d^{4} e^{2} f^{3} x^{3} - 1920 i \, a d^{4} e^{3} f^{2} x^{2} - 960 i \, a d^{4} e^{4} f x - 192 i \, a d^{4} e^{5} + 192 \, {\left(a d^{4} f^{5} x^{5} e^{c} + 5 \, a d^{4} e f^{4} x^{4} e^{c} + 10 \, a d^{4} e^{2} f^{3} x^{3} e^{c} + 10 \, a d^{4} e^{3} f^{2} x^{2} e^{c} + 5 \, a d^{4} e^{4} f x e^{c} + a d^{4} e^{5} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + 8 \, \int \frac{3 \, d^{2} f^{2} x^{2} + 6 \, d^{2} e f x + 3 \, d^{2} e^{2} - 4 \, f^{2}}{64 i \, a d^{2} f^{3} x^{3} + 192 i \, a d^{2} e f^{2} x^{2} + 192 i \, a d^{2} e^{2} f x + 64 i \, a d^{2} e^{3} + 64 \, {\left(a d^{2} f^{3} x^{3} e^{c} + 3 \, a d^{2} e f^{2} x^{2} e^{c} + 3 \, a d^{2} e^{2} f x e^{c} + a d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-8*(4*I*d^2*f^3*x^2 + 8*I*d^2*e*f^2*x + 4*I*d^2*e^2*f - 6*I*f^3 + (9*d^3*f^3*x^3*e^(5*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*x^2*e^(5*c) + (27*d^3*e^2*f - 18*d^2*e*f^2 - 2*d*f^3)*x*e^(5*c) + (9*d^3*e^3 - 9*d^2*e^2*f - 2*d*e*f^2 + 6*f^3)*e^(5*c))*e^(5*d*x) + (-18*I*d^3*f^3*x^3*e^(4*c) + (-54*I*d^3*e*f^2 + 18*I*d^2*f^3)*x^2*e^(4*c) + (-54*I*d^3*e^2*f + 36*I*d^2*e*f^2)*x*e^(4*c) + (-18*I*d^3*e^3 + 18*I*d^2*e^2*f - 6*I*f^3)*e^(4*c))*e^(4*d*x) + 2*(3*d^3*f^3*x^3*e^(3*c) + (9*d^3*e*f^2 - 4*d^2*f^3)*x^2*e^(3*c) + (9*d^3*e^2*f - 8*d^2*e*f^2 - 2*d*f^3)*x*e^(3*c) + (3*d^3*e^3 - 4*d^2*e^2*f - 2*d*e*f^2 + 6*f^3)*e^(3*c))*e^(3*d*x) + (18*I*d^3*f^3*x^3*e^(2*c) + (54*I*d^3*e*f^2 + 22*I*d^2*f^3)*x^2*e^(2*c) + (54*I*d^3*e^2*f + 44*I*d^2*e*f^2)*x*e^(2*c) + (18*I*d^3*e^3 + 22*I*d^2*e^2*f - 12*I*f^3)*e^(2*c))*e^(2*d*x) + (9*d^3*f^3*x^3*e^c + (27*d^3*e*f^2 + d^2*f^3)*x^2*e^c + (27*d^3*e^2*f + 2*d^2*e*f^2 - 2*d*f^3)*x*e^c + (9*d^3*e^3 + d^2*e^2*f - 2*d*e*f^2 + 6*f^3)*e^c)*e^(d*x))/(96*a*d^4*f^4*x^4 + 384*a*d^4*e*f^3*x^3 + 576*a*d^4*e^2*f^2*x^2 + 384*a*d^4*e^3*f*x + 96*a*d^4*e^4 - 96*(a*d^4*f^4*x^4*e^(6*c) + 4*a*d^4*e*f^3*x^3*e^(6*c) + 6*a*d^4*e^2*f^2*x^2*e^(6*c) + 4*a*d^4*e^3*f*x*e^(6*c) + a*d^4*e^4*e^(6*c))*e^(6*d*x) - (-192*I*a*d^4*f^4*x^4*e^(5*c) - 768*I*a*d^4*e*f^3*x^3*e^(5*c) - 1152*I*a*d^4*e^2*f^2*x^2*e^(5*c) - 768*I*a*d^4*e^3*f*x*e^(5*c) - 192*I*a*d^4*e^4*e^(5*c))*e^(5*d*x) - 96*(a*d^4*f^4*x^4*e^(4*c) + 4*a*d^4*e*f^3*x^3*e^(4*c) + 6*a*d^4*e^2*f^2*x^2*e^(4*c) + 4*a*d^4*e^3*f*x*e^(4*c) + a*d^4*e^4*e^(4*c))*e^(4*d*x) - (-384*I*a*d^4*f^4*x^4*e^(3*c) - 1536*I*a*d^4*e*f^3*x^3*e^(3*c) - 2304*I*a*d^4*e^2*f^2*x^2*e^(3*c) - 1536*I*a*d^4*e^3*f*x*e^(3*c) - 384*I*a*d^4*e^4*e^(3*c))*e^(3*d*x) + 96*(a*d^4*f^4*x^4*e^(2*c) + 4*a*d^4*e*f^3*x^3*e^(2*c) + 6*a*d^4*e^2*f^2*x^2*e^(2*c) + 4*a*d^4*e^3*f*x*e^(2*c) + a*d^4*e^4*e^(2*c))*e^(2*d*x) - (-192*I*a*d^4*f^4*x^4*e^c - 768*I*a*d^4*e*f^3*x^3*e^c - 1152*I*a*d^4*e^2*f^2*x^2*e^c - 768*I*a*d^4*e^3*f*x*e^c - 192*I*a*d^4*e^4*e^c)*e^(d*x)) + 8*integrate((9*d^4*f^4*x^4 + 36*d^4*e*f^3*x^3 + 9*d^4*e^4 - 28*d^2*e^2*f^2 + 48*f^4 + 2*(27*d^4*e^2*f^2 - 14*d^2*f^4)*x^2 + 4*(9*d^4*e^3*f - 14*d^2*e*f^3)*x)/(-192*I*a*d^4*f^5*x^5 - 960*I*a*d^4*e*f^4*x^4 - 1920*I*a*d^4*e^2*f^3*x^3 - 1920*I*a*d^4*e^3*f^2*x^2 - 960*I*a*d^4*e^4*f*x - 192*I*a*d^4*e^5 + 192*(a*d^4*f^5*x^5*e^c + 5*a*d^4*e*f^4*x^4*e^c + 10*a*d^4*e^2*f^3*x^3*e^c + 10*a*d^4*e^3*f^2*x^2*e^c + 5*a*d^4*e^4*f*x*e^c + a*d^4*e^5*e^c)*e^(d*x)), x) + 8*integrate((3*d^2*f^2*x^2 + 6*d^2*e*f*x + 3*d^2*e^2 - 4*f^2)/(64*I*a*d^2*f^3*x^3 + 192*I*a*d^2*e*f^2*x^2 + 192*I*a*d^2*e^2*f*x + 64*I*a*d^2*e^3 + 64*(a*d^2*f^3*x^3*e^c + 3*a*d^2*e*f^2*x^2*e^c + 3*a*d^2*e^2*f*x*e^c + a*d^2*e^3*e^c)*e^(d*x)), x)","F",0
288,0,0,0,0.000000," ","integrate(sech(d*x+c)^3/(f*x+e)^2/(a+I*a*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{8 \, {\left(8 i \, d^{2} f^{3} x^{2} + 16 i \, d^{2} e f^{2} x + 8 i \, d^{2} e^{2} f - 24 i \, f^{3} + 3 \, {\left(3 \, d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 3 \, {\left(3 \, d^{3} e f^{2} - 2 \, d^{2} f^{3}\right)} x^{2} e^{\left(5 \, c\right)} + {\left(9 \, d^{3} e^{2} f - 12 \, d^{2} e f^{2} - 2 \, d f^{3}\right)} x e^{\left(5 \, c\right)} + {\left(3 \, d^{3} e^{3} - 6 \, d^{2} e^{2} f - 2 \, d e f^{2} + 8 \, f^{3}\right)} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} + {\left(-18 i \, d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + {\left(-54 i \, d^{3} e f^{2} + 36 i \, d^{2} f^{3}\right)} x^{2} e^{\left(4 \, c\right)} + {\left(-54 i \, d^{3} e^{2} f + 72 i \, d^{2} e f^{2}\right)} x e^{\left(4 \, c\right)} + {\left(-18 i \, d^{3} e^{3} + 36 i \, d^{2} e^{2} f - 24 i \, f^{3}\right)} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(3 \, d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + {\left(9 \, d^{3} e f^{2} - 8 \, d^{2} f^{3}\right)} x^{2} e^{\left(3 \, c\right)} + {\left(9 \, d^{3} e^{2} f - 16 \, d^{2} e f^{2} - 6 \, d f^{3}\right)} x e^{\left(3 \, c\right)} + {\left(3 \, d^{3} e^{3} - 8 \, d^{2} e^{2} f - 6 \, d e f^{2} + 24 \, f^{3}\right)} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(18 i \, d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + {\left(54 i \, d^{3} e f^{2} + 44 i \, d^{2} f^{3}\right)} x^{2} e^{\left(2 \, c\right)} + {\left(54 i \, d^{3} e^{2} f + 88 i \, d^{2} e f^{2}\right)} x e^{\left(2 \, c\right)} + {\left(18 i \, d^{3} e^{3} + 44 i \, d^{2} e^{2} f - 48 i \, f^{3}\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(9 \, d^{3} f^{3} x^{3} e^{c} + {\left(27 \, d^{3} e f^{2} + 2 \, d^{2} f^{3}\right)} x^{2} e^{c} + {\left(27 \, d^{3} e^{2} f + 4 \, d^{2} e f^{2} - 6 \, d f^{3}\right)} x e^{c} + {\left(9 \, d^{3} e^{3} + 2 \, d^{2} e^{2} f - 6 \, d e f^{2} + 24 \, f^{3}\right)} e^{c}\right)} e^{\left(d x\right)}\right)}}{96 \, a d^{4} f^{5} x^{5} + 480 \, a d^{4} e f^{4} x^{4} + 960 \, a d^{4} e^{2} f^{3} x^{3} + 960 \, a d^{4} e^{3} f^{2} x^{2} + 480 \, a d^{4} e^{4} f x + 96 \, a d^{4} e^{5} - 96 \, {\left(a d^{4} f^{5} x^{5} e^{\left(6 \, c\right)} + 5 \, a d^{4} e f^{4} x^{4} e^{\left(6 \, c\right)} + 10 \, a d^{4} e^{2} f^{3} x^{3} e^{\left(6 \, c\right)} + 10 \, a d^{4} e^{3} f^{2} x^{2} e^{\left(6 \, c\right)} + 5 \, a d^{4} e^{4} f x e^{\left(6 \, c\right)} + a d^{4} e^{5} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(-192 i \, a d^{4} f^{5} x^{5} e^{\left(5 \, c\right)} - 960 i \, a d^{4} e f^{4} x^{4} e^{\left(5 \, c\right)} - 1920 i \, a d^{4} e^{2} f^{3} x^{3} e^{\left(5 \, c\right)} - 1920 i \, a d^{4} e^{3} f^{2} x^{2} e^{\left(5 \, c\right)} - 960 i \, a d^{4} e^{4} f x e^{\left(5 \, c\right)} - 192 i \, a d^{4} e^{5} e^{\left(5 \, c\right)}\right)} e^{\left(5 \, d x\right)} - 96 \, {\left(a d^{4} f^{5} x^{5} e^{\left(4 \, c\right)} + 5 \, a d^{4} e f^{4} x^{4} e^{\left(4 \, c\right)} + 10 \, a d^{4} e^{2} f^{3} x^{3} e^{\left(4 \, c\right)} + 10 \, a d^{4} e^{3} f^{2} x^{2} e^{\left(4 \, c\right)} + 5 \, a d^{4} e^{4} f x e^{\left(4 \, c\right)} + a d^{4} e^{5} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(-384 i \, a d^{4} f^{5} x^{5} e^{\left(3 \, c\right)} - 1920 i \, a d^{4} e f^{4} x^{4} e^{\left(3 \, c\right)} - 3840 i \, a d^{4} e^{2} f^{3} x^{3} e^{\left(3 \, c\right)} - 3840 i \, a d^{4} e^{3} f^{2} x^{2} e^{\left(3 \, c\right)} - 1920 i \, a d^{4} e^{4} f x e^{\left(3 \, c\right)} - 384 i \, a d^{4} e^{5} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 96 \, {\left(a d^{4} f^{5} x^{5} e^{\left(2 \, c\right)} + 5 \, a d^{4} e f^{4} x^{4} e^{\left(2 \, c\right)} + 10 \, a d^{4} e^{2} f^{3} x^{3} e^{\left(2 \, c\right)} + 10 \, a d^{4} e^{3} f^{2} x^{2} e^{\left(2 \, c\right)} + 5 \, a d^{4} e^{4} f x e^{\left(2 \, c\right)} + a d^{4} e^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(-192 i \, a d^{4} f^{5} x^{5} e^{c} - 960 i \, a d^{4} e f^{4} x^{4} e^{c} - 1920 i \, a d^{4} e^{2} f^{3} x^{3} e^{c} - 1920 i \, a d^{4} e^{3} f^{2} x^{2} e^{c} - 960 i \, a d^{4} e^{4} f x e^{c} - 192 i \, a d^{4} e^{5} e^{c}\right)} e^{\left(d x\right)}} + 8 \, \int \frac{3 \, d^{4} f^{4} x^{4} + 12 \, d^{4} e f^{3} x^{3} + 3 \, d^{4} e^{4} - 28 \, d^{2} e^{2} f^{2} + 80 \, f^{4} + 2 \, {\left(9 \, d^{4} e^{2} f^{2} - 14 \, d^{2} f^{4}\right)} x^{2} + 4 \, {\left(3 \, d^{4} e^{3} f - 14 \, d^{2} e f^{3}\right)} x}{-64 i \, a d^{4} f^{6} x^{6} - 384 i \, a d^{4} e f^{5} x^{5} - 960 i \, a d^{4} e^{2} f^{4} x^{4} - 1280 i \, a d^{4} e^{3} f^{3} x^{3} - 960 i \, a d^{4} e^{4} f^{2} x^{2} - 384 i \, a d^{4} e^{5} f x - 64 i \, a d^{4} e^{6} + 64 \, {\left(a d^{4} f^{6} x^{6} e^{c} + 6 \, a d^{4} e f^{5} x^{5} e^{c} + 15 \, a d^{4} e^{2} f^{4} x^{4} e^{c} + 20 \, a d^{4} e^{3} f^{3} x^{3} e^{c} + 15 \, a d^{4} e^{4} f^{2} x^{2} e^{c} + 6 \, a d^{4} e^{5} f x e^{c} + a d^{4} e^{6} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + 8 \, \int \frac{3 \, {\left(d^{2} f^{2} x^{2} + 2 \, d^{2} e f x + d^{2} e^{2} - 4 \, f^{2}\right)}}{64 i \, a d^{2} f^{4} x^{4} + 256 i \, a d^{2} e f^{3} x^{3} + 384 i \, a d^{2} e^{2} f^{2} x^{2} + 256 i \, a d^{2} e^{3} f x + 64 i \, a d^{2} e^{4} + 64 \, {\left(a d^{2} f^{4} x^{4} e^{c} + 4 \, a d^{2} e f^{3} x^{3} e^{c} + 6 \, a d^{2} e^{2} f^{2} x^{2} e^{c} + 4 \, a d^{2} e^{3} f x e^{c} + a d^{2} e^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-8*(8*I*d^2*f^3*x^2 + 16*I*d^2*e*f^2*x + 8*I*d^2*e^2*f - 24*I*f^3 + 3*(3*d^3*f^3*x^3*e^(5*c) + 3*(3*d^3*e*f^2 - 2*d^2*f^3)*x^2*e^(5*c) + (9*d^3*e^2*f - 12*d^2*e*f^2 - 2*d*f^3)*x*e^(5*c) + (3*d^3*e^3 - 6*d^2*e^2*f - 2*d*e*f^2 + 8*f^3)*e^(5*c))*e^(5*d*x) + (-18*I*d^3*f^3*x^3*e^(4*c) + (-54*I*d^3*e*f^2 + 36*I*d^2*f^3)*x^2*e^(4*c) + (-54*I*d^3*e^2*f + 72*I*d^2*e*f^2)*x*e^(4*c) + (-18*I*d^3*e^3 + 36*I*d^2*e^2*f - 24*I*f^3)*e^(4*c))*e^(4*d*x) + 2*(3*d^3*f^3*x^3*e^(3*c) + (9*d^3*e*f^2 - 8*d^2*f^3)*x^2*e^(3*c) + (9*d^3*e^2*f - 16*d^2*e*f^2 - 6*d*f^3)*x*e^(3*c) + (3*d^3*e^3 - 8*d^2*e^2*f - 6*d*e*f^2 + 24*f^3)*e^(3*c))*e^(3*d*x) + (18*I*d^3*f^3*x^3*e^(2*c) + (54*I*d^3*e*f^2 + 44*I*d^2*f^3)*x^2*e^(2*c) + (54*I*d^3*e^2*f + 88*I*d^2*e*f^2)*x*e^(2*c) + (18*I*d^3*e^3 + 44*I*d^2*e^2*f - 48*I*f^3)*e^(2*c))*e^(2*d*x) + (9*d^3*f^3*x^3*e^c + (27*d^3*e*f^2 + 2*d^2*f^3)*x^2*e^c + (27*d^3*e^2*f + 4*d^2*e*f^2 - 6*d*f^3)*x*e^c + (9*d^3*e^3 + 2*d^2*e^2*f - 6*d*e*f^2 + 24*f^3)*e^c)*e^(d*x))/(96*a*d^4*f^5*x^5 + 480*a*d^4*e*f^4*x^4 + 960*a*d^4*e^2*f^3*x^3 + 960*a*d^4*e^3*f^2*x^2 + 480*a*d^4*e^4*f*x + 96*a*d^4*e^5 - 96*(a*d^4*f^5*x^5*e^(6*c) + 5*a*d^4*e*f^4*x^4*e^(6*c) + 10*a*d^4*e^2*f^3*x^3*e^(6*c) + 10*a*d^4*e^3*f^2*x^2*e^(6*c) + 5*a*d^4*e^4*f*x*e^(6*c) + a*d^4*e^5*e^(6*c))*e^(6*d*x) - (-192*I*a*d^4*f^5*x^5*e^(5*c) - 960*I*a*d^4*e*f^4*x^4*e^(5*c) - 1920*I*a*d^4*e^2*f^3*x^3*e^(5*c) - 1920*I*a*d^4*e^3*f^2*x^2*e^(5*c) - 960*I*a*d^4*e^4*f*x*e^(5*c) - 192*I*a*d^4*e^5*e^(5*c))*e^(5*d*x) - 96*(a*d^4*f^5*x^5*e^(4*c) + 5*a*d^4*e*f^4*x^4*e^(4*c) + 10*a*d^4*e^2*f^3*x^3*e^(4*c) + 10*a*d^4*e^3*f^2*x^2*e^(4*c) + 5*a*d^4*e^4*f*x*e^(4*c) + a*d^4*e^5*e^(4*c))*e^(4*d*x) - (-384*I*a*d^4*f^5*x^5*e^(3*c) - 1920*I*a*d^4*e*f^4*x^4*e^(3*c) - 3840*I*a*d^4*e^2*f^3*x^3*e^(3*c) - 3840*I*a*d^4*e^3*f^2*x^2*e^(3*c) - 1920*I*a*d^4*e^4*f*x*e^(3*c) - 384*I*a*d^4*e^5*e^(3*c))*e^(3*d*x) + 96*(a*d^4*f^5*x^5*e^(2*c) + 5*a*d^4*e*f^4*x^4*e^(2*c) + 10*a*d^4*e^2*f^3*x^3*e^(2*c) + 10*a*d^4*e^3*f^2*x^2*e^(2*c) + 5*a*d^4*e^4*f*x*e^(2*c) + a*d^4*e^5*e^(2*c))*e^(2*d*x) - (-192*I*a*d^4*f^5*x^5*e^c - 960*I*a*d^4*e*f^4*x^4*e^c - 1920*I*a*d^4*e^2*f^3*x^3*e^c - 1920*I*a*d^4*e^3*f^2*x^2*e^c - 960*I*a*d^4*e^4*f*x*e^c - 192*I*a*d^4*e^5*e^c)*e^(d*x)) + 8*integrate((3*d^4*f^4*x^4 + 12*d^4*e*f^3*x^3 + 3*d^4*e^4 - 28*d^2*e^2*f^2 + 80*f^4 + 2*(9*d^4*e^2*f^2 - 14*d^2*f^4)*x^2 + 4*(3*d^4*e^3*f - 14*d^2*e*f^3)*x)/(-64*I*a*d^4*f^6*x^6 - 384*I*a*d^4*e*f^5*x^5 - 960*I*a*d^4*e^2*f^4*x^4 - 1280*I*a*d^4*e^3*f^3*x^3 - 960*I*a*d^4*e^4*f^2*x^2 - 384*I*a*d^4*e^5*f*x - 64*I*a*d^4*e^6 + 64*(a*d^4*f^6*x^6*e^c + 6*a*d^4*e*f^5*x^5*e^c + 15*a*d^4*e^2*f^4*x^4*e^c + 20*a*d^4*e^3*f^3*x^3*e^c + 15*a*d^4*e^4*f^2*x^2*e^c + 6*a*d^4*e^5*f*x*e^c + a*d^4*e^6*e^c)*e^(d*x)), x) + 8*integrate(3*(d^2*f^2*x^2 + 2*d^2*e*f*x + d^2*e^2 - 4*f^2)/(64*I*a*d^2*f^4*x^4 + 256*I*a*d^2*e*f^3*x^3 + 384*I*a*d^2*e^2*f^2*x^2 + 256*I*a*d^2*e^3*f*x + 64*I*a*d^2*e^4 + 64*(a*d^2*f^4*x^4*e^c + 4*a*d^2*e*f^3*x^3*e^c + 6*a*d^2*e^2*f^2*x^2*e^c + 4*a*d^2*e^3*f*x*e^c + a*d^2*e^4*e^c)*e^(d*x)), x)","F",0
289,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{e^{3} \log\left(b \sinh\left(d x + c\right) + a\right)}{b d} + \frac{f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2}}{4 \, b} - \int -\frac{2 \, {\left(b f^{3} x^{3} + 3 \, b e f^{2} x^{2} + 3 \, b e^{2} f x - {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(d x + c\right)} - b^{2}}\,{d x}"," ",0,"e^3*log(b*sinh(d*x + c) + a)/(b*d) + 1/4*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2)/b - integrate(-2*(b*f^3*x^3 + 3*b*e*f^2*x^2 + 3*b*e^2*f*x - (a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x))/(b^2*e^(2*d*x + 2*c) + 2*a*b*e^(d*x + c) - b^2), x)","F",0
290,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{e^{2} \log\left(b \sinh\left(d x + c\right) + a\right)}{b d} + \frac{f^{2} x^{3} + 3 \, e f x^{2}}{3 \, b} - \int -\frac{2 \, {\left(b f^{2} x^{2} + 2 \, b e f x - {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(d x + c\right)} - b^{2}}\,{d x}"," ",0,"e^2*log(b*sinh(d*x + c) + a)/(b*d) + 1/3*(f^2*x^3 + 3*e*f*x^2)/b - integrate(-2*(b*f^2*x^2 + 2*b*e*f*x - (a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x))/(b^2*e^(2*d*x + 2*c) + 2*a*b*e^(d*x + c) - b^2), x)","F",0
291,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, f {\left(\frac{x^{2}}{b} - \int \frac{4 \, {\left(a x e^{\left(d x + c\right)} - b x\right)}}{b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b e^{\left(d x + c\right)} - b^{2}}\,{d x}\right)} + \frac{e \log\left(b \sinh\left(d x + c\right) + a\right)}{b d}"," ",0,"1/2*f*(x^2/b - integrate(4*(a*x*e^(d*x + c) - b*x)/(b^2*e^(2*d*x + 2*c) + 2*a*b*e^(d*x + c) - b^2), x)) + e*log(b*sinh(d*x + c) + a)/(b*d)","F",0
292,1,18,0,0.308947," ","integrate(cosh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(b \sinh\left(d x + c\right) + a\right)}{b d}"," ",0,"log(b*sinh(d*x + c) + a)/(b*d)","A",0
293,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(f x + e\right)}{b f} - \frac{1}{2} \, \int -\frac{4 \, {\left(a e^{\left(d x + c\right)} - b\right)}}{b^{2} f x + b^{2} e - {\left(b^{2} f x e^{\left(2 \, c\right)} + b^{2} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b f x e^{c} + a b e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"log(f*x + e)/(b*f) - 1/2*integrate(-4*(a*e^(d*x + c) - b)/(b^2*f*x + b^2*e - (b^2*f*x*e^(2*c) + b^2*e*e^(2*c))*e^(2*d*x) - 2*(a*b*f*x*e^c + a*b*e*e^c)*e^(d*x)), x)","F",0
294,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} - \frac{e^{\left(-d x - c\right)}}{b d} - \frac{2 \, \sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{2} d}\right)} - \frac{{\left(a d^{4} f^{3} x^{4} e^{c} + 4 \, a d^{4} e f^{2} x^{3} e^{c} + 6 \, a d^{4} e^{2} f x^{2} e^{c} - 2 \, {\left(b d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 2 \, {\left(b d^{3} f^{3} x^{3} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b x^{2} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{4 \, b^{2} d^{4}} + \int \frac{2 \, {\left({\left(a^{2} f^{3} e^{c} + b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{2} e f^{2} e^{c} + b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{2} e^{2} f e^{c} + b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}"," ",0,"-1/2*e^3*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) - e^(-d*x - c)/(b*d) - 2*sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^2*d)) - 1/4*(a*d^4*f^3*x^4*e^c + 4*a*d^4*e*f^2*x^3*e^c + 6*a*d^4*e^2*f*x^2*e^c - 2*(b*d^3*f^3*x^3*e^(2*c) + 3*(d^3*e*f^2 - d^2*f^3)*b*x^2*e^(2*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b*x*e^(2*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b*e^(2*c))*e^(d*x) - 2*(b*d^3*f^3*x^3 + 3*(d^3*e*f^2 + d^2*f^3)*b*x^2 + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b*x + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b)*e^(-d*x))*e^(-c)/(b^2*d^4) + integrate(2*((a^2*f^3*e^c + b^2*f^3*e^c)*x^3 + 3*(a^2*e*f^2*e^c + b^2*e*f^2*e^c)*x^2 + 3*(a^2*e^2*f*e^c + b^2*e^2*f*e^c)*x)*e^(d*x)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x)","F",0
295,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} - \frac{e^{\left(-d x - c\right)}}{b d} - \frac{2 \, \sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{2} d}\right)} - \frac{{\left(2 \, a d^{3} f^{2} x^{3} e^{c} + 6 \, a d^{3} e f x^{2} e^{c} - 3 \, {\left(b d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} b x e^{\left(2 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - 3 \, {\left(b d^{2} f^{2} x^{2} + 2 \, {\left(d^{2} e f + d f^{2}\right)} b x + 2 \, {\left(d e f + f^{2}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{6 \, b^{2} d^{3}} + \int \frac{2 \, {\left({\left(a^{2} f^{2} e^{c} + b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} e f e^{c} + b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}"," ",0,"-1/2*e^2*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) - e^(-d*x - c)/(b*d) - 2*sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^2*d)) - 1/6*(2*a*d^3*f^2*x^3*e^c + 6*a*d^3*e*f*x^2*e^c - 3*(b*d^2*f^2*x^2*e^(2*c) + 2*(d^2*e*f - d*f^2)*b*x*e^(2*c) - 2*(d*e*f - f^2)*b*e^(2*c))*e^(d*x) - 3*(b*d^2*f^2*x^2 + 2*(d^2*e*f + d*f^2)*b*x + 2*(d*e*f + f^2)*b)*e^(-d*x))*e^(-c)/(b^2*d^3) + integrate(2*((a^2*f^2*e^c + b^2*f^2*e^c)*x^2 + 2*(a^2*e*f*e^c + b^2*e*f*e^c)*x)*e^(d*x)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x)","F",0
296,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(4 \, {\left(a^{2} e^{c} + b^{2} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x} - \frac{{\left(a d^{2} x^{2} e^{c} - {\left(b d x e^{\left(2 \, c\right)} - b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} - {\left(b d x + b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{b^{2} d^{2}}\right)} f - \frac{1}{2} \, e {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} - \frac{e^{\left(-d x - c\right)}}{b d} - \frac{2 \, \sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{2} d}\right)}"," ",0,"1/2*(4*(a^2*e^c + b^2*e^c)*integrate(x*e^(d*x)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x) - (a*d^2*x^2*e^c - (b*d*x*e^(2*c) - b*e^(2*c))*e^(d*x) - (b*d*x + b)*e^(-d*x))*e^(-c)/(b^2*d^2))*f - 1/2*e*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) - e^(-d*x - c)/(b*d) - 2*sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^2*d))","F",0
297,1,116,0,0.415545," ","integrate(cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{2 \, b d} + \frac{e^{\left(-d x - c\right)}}{2 \, b d} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{2} d}"," ",0,"-(d*x + c)*a/(b^2*d) + 1/2*e^(d*x + c)/(b*d) + 1/2*e^(-d*x - c)/(b*d) + sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^2*d)","A",0
298,0,0,0,0.000000," ","integrate(cosh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, {\left(a^{2} e^{c} + b^{2} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{b^{3} f x + b^{3} e - {\left(b^{3} f x e^{\left(2 \, c\right)} + b^{3} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{2} f x e^{c} + a b^{2} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{a \log\left(f x + e\right)}{b^{2} f}"," ",0,"2*(a^2*e^c + b^2*e^c)*integrate(-e^(d*x)/(b^3*f*x + b^3*e - (b^3*f*x*e^(2*c) + b^3*e*e^(2*c))*e^(2*d*x) - 2*(a*b^2*f*x*e^c + a*b^2*e*e^c)*e^(d*x)), x) + 1/2*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b*f) - 1/2*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b*f) - a*log(f*x + e)/(b^2*f)","F",0
299,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{3} {\left(\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} - \frac{8 \, {\left(a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} - \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d} - \frac{8 \, {\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d}\right)} + \frac{{\left(8 \, {\left(a^{2} d^{4} f^{3} e^{\left(2 \, c\right)} + b^{2} d^{4} f^{3} e^{\left(2 \, c\right)}\right)} x^{4} + 32 \, {\left(a^{2} d^{4} e f^{2} e^{\left(2 \, c\right)} + b^{2} d^{4} e f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 48 \, {\left(a^{2} d^{4} e^{2} f e^{\left(2 \, c\right)} + b^{2} d^{4} e^{2} f e^{\left(2 \, c\right)}\right)} x^{2} + {\left(4 \, b^{2} d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{2} x^{2} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x e^{\left(4 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{\left(3 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} + 16 \, {\left(a b d^{3} f^{3} x^{3} e^{c} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b x^{2} e^{c} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{c} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{c}\right)} e^{\left(-d x\right)} + {\left(4 \, b^{2} d^{3} f^{3} x^{3} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{2} x^{2} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{32 \, b^{3} d^{4}} - \int -\frac{2 \, {\left({\left(a^{2} b f^{3} + b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{2} b e f^{2} + b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{2} b e^{2} f + b^{3} e^{2} f\right)} x - {\left({\left(a^{3} f^{3} e^{c} + a b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{3} e f^{2} e^{c} + a b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{3} e^{2} f e^{c} + a b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"-1/8*e^3*((4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - 8*(a^2 + b^2)*(d*x + c)/(b^3*d) - (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d) - 8*(a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d)) + 1/32*(8*(a^2*d^4*f^3*e^(2*c) + b^2*d^4*f^3*e^(2*c))*x^4 + 32*(a^2*d^4*e*f^2*e^(2*c) + b^2*d^4*e*f^2*e^(2*c))*x^3 + 48*(a^2*d^4*e^2*f*e^(2*c) + b^2*d^4*e^2*f*e^(2*c))*x^2 + (4*b^2*d^3*f^3*x^3*e^(4*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*b^2*x^2*e^(4*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*b^2*x*e^(4*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*b^2*e^(4*c))*e^(2*d*x) - 16*(a*b*d^3*f^3*x^3*e^(3*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*b*x^2*e^(3*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^(3*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b*e^(3*c))*e^(d*x) + 16*(a*b*d^3*f^3*x^3*e^c + 3*(d^3*e*f^2 + d^2*f^3)*a*b*x^2*e^c + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^c + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b*e^c)*e^(-d*x) + (4*b^2*d^3*f^3*x^3 + 6*(2*d^3*e*f^2 + d^2*f^3)*b^2*x^2 + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*b^2*x + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^4) - integrate(-2*((a^2*b*f^3 + b^3*f^3)*x^3 + 3*(a^2*b*e*f^2 + b^3*e*f^2)*x^2 + 3*(a^2*b*e^2*f + b^3*e^2*f)*x - ((a^3*f^3*e^c + a*b^2*f^3*e^c)*x^3 + 3*(a^3*e*f^2*e^c + a*b^2*e*f^2*e^c)*x^2 + 3*(a^3*e^2*f*e^c + a*b^2*e^2*f*e^c)*x)*e^(d*x))/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
300,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{2} {\left(\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} - \frac{8 \, {\left(a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} - \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d} - \frac{8 \, {\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d}\right)} + \frac{{\left(16 \, {\left(a^{2} d^{3} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{3} f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 48 \, {\left(a^{2} d^{3} e f e^{\left(2 \, c\right)} + b^{2} d^{3} e f e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} b^{2} x e^{\left(4 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} a b x e^{\left(3 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} + 24 \, {\left(a b d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(d^{2} e f + d f^{2}\right)} a b x e^{c} + 2 \, {\left(d e f + f^{2}\right)} a b e^{c}\right)} e^{\left(-d x\right)} + 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} b^{2} x + {\left(2 \, d e f + f^{2}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{48 \, b^{3} d^{3}} - \int -\frac{2 \, {\left({\left(a^{2} b f^{2} + b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} b e f + b^{3} e f\right)} x - {\left({\left(a^{3} f^{2} e^{c} + a b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} e f e^{c} + a b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"-1/8*e^2*((4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - 8*(a^2 + b^2)*(d*x + c)/(b^3*d) - (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d) - 8*(a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d)) + 1/48*(16*(a^2*d^3*f^2*e^(2*c) + b^2*d^3*f^2*e^(2*c))*x^3 + 48*(a^2*d^3*e*f*e^(2*c) + b^2*d^3*e*f*e^(2*c))*x^2 + 3*(2*b^2*d^2*f^2*x^2*e^(4*c) + 2*(2*d^2*e*f - d*f^2)*b^2*x*e^(4*c) - (2*d*e*f - f^2)*b^2*e^(4*c))*e^(2*d*x) - 24*(a*b*d^2*f^2*x^2*e^(3*c) + 2*(d^2*e*f - d*f^2)*a*b*x*e^(3*c) - 2*(d*e*f - f^2)*a*b*e^(3*c))*e^(d*x) + 24*(a*b*d^2*f^2*x^2*e^c + 2*(d^2*e*f + d*f^2)*a*b*x*e^c + 2*(d*e*f + f^2)*a*b*e^c)*e^(-d*x) + 3*(2*b^2*d^2*f^2*x^2 + 2*(2*d^2*e*f + d*f^2)*b^2*x + (2*d*e*f + f^2)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^3) - integrate(-2*((a^2*b*f^2 + b^3*f^2)*x^2 + 2*(a^2*b*e*f + b^3*e*f)*x - ((a^3*f^2*e^c + a*b^2*f^2*e^c)*x^2 + 2*(a^3*e*f*e^c + a*b^2*e*f*e^c)*x)*e^(d*x))/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
301,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e {\left(\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} - \frac{8 \, {\left(a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} - \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d} - \frac{8 \, {\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d}\right)} + \frac{1}{16} \, f {\left(\frac{{\left(8 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} x^{2} + {\left(2 \, b^{2} d x e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 8 \, {\left(a b d x e^{\left(3 \, c\right)} - a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} + 8 \, {\left(a b d x e^{c} + a b e^{c}\right)} e^{\left(-d x\right)} + {\left(2 \, b^{2} d x + b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{b^{3} d^{2}} - 2 \, \int \frac{16 \, {\left({\left(a^{3} e^{c} + a b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{2} b + b^{3}\right)} x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}\right)}"," ",0,"-1/8*e*((4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - 8*(a^2 + b^2)*(d*x + c)/(b^3*d) - (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d) - 8*(a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d)) + 1/16*f*((8*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*x^2 + (2*b^2*d*x*e^(4*c) - b^2*e^(4*c))*e^(2*d*x) - 8*(a*b*d*x*e^(3*c) - a*b*e^(3*c))*e^(d*x) + 8*(a*b*d*x*e^c + a*b*e^c)*e^(-d*x) + (2*b^2*d*x + b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^2) - 2*integrate(16*((a^3*e^c + a*b^2*e^c)*x*e^(d*x) - (a^2*b + b^3)*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x))","F",0
302,1,127,0,0.319658," ","integrate(cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, b^{2} d} + \frac{{\left(a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, b^{2} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d}"," ",0,"-1/8*(4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + (a^2 + b^2)*(d*x + c)/(b^3*d) + 1/8*(4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d)","B",0
303,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} + \frac{a e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} + \frac{a e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} - \frac{e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(f x + e\right)}{b^{3} f} - \frac{1}{8} \, \int \frac{16 \, {\left(a^{2} b + b^{3} - {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{4} f x + b^{4} e - {\left(b^{4} f x e^{\left(2 \, c\right)} + b^{4} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{3} f x e^{c} + a b^{3} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"1/4*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b*f) + 1/2*a*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^2*f) + 1/2*a*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^2*f) - 1/4*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b*f) + (a^2 + b^2)*log(f*x + e)/(b^3*f) - 1/8*integrate(16*(a^2*b + b^3 - (a^3*e^c + a*b^2*e^c)*e^(d*x))/(b^4*f*x + b^4*e - (b^4*f*x*e^(2*c) + b^4*e*e^(2*c))*e^(2*d*x) - 2*(a*b^3*f*x*e^c + a*b^3*e*e^c)*e^(d*x)), x)","F",0
304,0,0,0,0.000000," ","integrate((f*x+e)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}\right)} + \int \frac{4 \, f^{3} x^{3}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}} + \frac{12 \, e f^{2} x^{2}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}} + \frac{12 \, e^{2} f x}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e^3*(2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)) + integrate(4*f^3*x^3/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))) + 12*e*f^2*x^2/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))) + 12*e^2*f*x/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))), x)","F",0
305,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}\right)} + \int \frac{4 \, f^{2} x^{2}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}} + \frac{8 \, e f x}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e^2*(2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)) + integrate(4*f^2*x^2/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))) + 8*e*f*x/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))), x)","F",0
306,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e {\left(\frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}\right)} + 2 \, f \int \frac{2 \, x}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e*(2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)) + 2*f*integrate(2*x/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))), x)","F",0
307,1,95,0,0.438267," ","integrate(sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}"," ",0,"-2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) - b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)","A",0
308,0,0,0,0.000000," ","integrate(sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(d x + c\right)}{{\left(f x + e\right)} {\left(b \sinh\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sech(d*x + c)/((f*x + e)*(b*sinh(d*x + c) + a)), x)","F",0
309,0,0,0,0.000000," ","integrate((f*x+e)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","3 \, a e^{2} f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} - 6 \, b f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 6 \, a f^{3} \int \frac{x^{2}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 12 \, b e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 12 \, a e f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + e^{3} {\left(\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)} - \frac{6 \, b e^{2} f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{2 \, {\left(a f^{3} x^{3} + 3 \, a e f^{2} x^{2} + 3 \, a e^{2} f x - {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int -\frac{2 \, {\left(b^{2} f^{3} x^{3} e^{c} + 3 \, b^{2} e f^{2} x^{2} e^{c} + 3 \, b^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"3*a*e^2*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) - 6*b*f^3*integrate(x^2*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 6*a*f^3*integrate(x^2/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 12*b*e*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 12*a*e*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + e^3*(b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)) - 6*b*e^2*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - 2*(a*f^3*x^3 + 3*a*e*f^2*x^2 + 3*a*e^2*f*x - (b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + integrate(-2*(b^2*f^3*x^3*e^c + 3*b^2*e*f^2*x^2*e^c + 3*b^2*e^2*f*x*e^c)*e^(d*x)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x)","F",0
310,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, a e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} - 4 \, b f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 4 \, a f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + e^{2} {\left(\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)} - \frac{4 \, b e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x - {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int -\frac{2 \, {\left(b^{2} f^{2} x^{2} e^{c} + 2 \, b^{2} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"2*a*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) - 4*b*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 4*a*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + e^2*(b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)) - 4*b*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - 2*(a*f^2*x^2 + 2*a*e*f*x - (b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + integrate(-2*(b^2*f^2*x^2*e^c + 2*b^2*e*f*x*e^c)*e^(d*x)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x)","F",0
311,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(4 \, b^{2} \int -\frac{x e^{\left(d x + c\right)}}{2 \, {\left(a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + \frac{2 \, {\left(b x e^{\left(d x + c\right)} - a x\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{2 \, a x}{{\left(a^{2} + b^{2}\right)} d} - \frac{2 \, b \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{a \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} f + e {\left(\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)}"," ",0,"(4*b^2*integrate(-1/2*x*e^(d*x + c)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x) + 2*(b*x*e^(d*x + c) - a*x)/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + 2*a*x/((a^2 + b^2)*d) - 2*b*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - a*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2))*f + e*(b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d))","F",0
312,1,115,0,0.417161," ","integrate(sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"b^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)","A",0
313,0,0,0,0.000000," ","integrate(sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","4 \, b^{2} \int -\frac{e^{\left(d x + c\right)}}{2 \, {\left(a^{2} b e + b^{3} e + {\left(a^{2} b f + b^{3} f\right)} x - {\left(a^{2} b e e^{\left(2 \, c\right)} + b^{3} e e^{\left(2 \, c\right)} + {\left(a^{2} b f e^{\left(2 \, c\right)} + b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e e^{c} + a b^{2} e e^{c} + {\left(a^{3} f e^{c} + a b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} + \frac{2 \, {\left(b e^{\left(d x + c\right)} - a\right)}}{a^{2} d e + b^{2} d e + {\left(a^{2} d f + b^{2} d f\right)} x + {\left(a^{2} d e e^{\left(2 \, c\right)} + b^{2} d e e^{\left(2 \, c\right)} + {\left(a^{2} d f e^{\left(2 \, c\right)} + b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + 4 \, \int \frac{b f e^{\left(d x + c\right)} - a f}{2 \, {\left(a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"4*b^2*integrate(-1/2*e^(d*x + c)/(a^2*b*e + b^3*e + (a^2*b*f + b^3*f)*x - (a^2*b*e*e^(2*c) + b^3*e*e^(2*c) + (a^2*b*f*e^(2*c) + b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^3*e*e^c + a*b^2*e*e^c + (a^3*f*e^c + a*b^2*f*e^c)*x)*e^(d*x)), x) + 2*(b*e^(d*x + c) - a)/(a^2*d*e + b^2*d*e + (a^2*d*f + b^2*d*f)*x + (a^2*d*e*e^(2*c) + b^2*d*e*e^(2*c) + (a^2*d*f*e^(2*c) + b^2*d*f*e^(2*c))*x)*e^(2*d*x)) + 4*integrate(1/2*(b*f*e^(d*x + c) - a*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
314,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","a^{3} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 3 \, a b^{2} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, b^{3} d^{2} f^{2} \int \frac{x^{2}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, a^{3} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 6 \, a b^{2} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 4 \, b^{3} d^{2} e f \int \frac{x}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - a^{2} b f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - b^{3} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} + {\left(\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b^{3} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} + 3 \, a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} - a e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e^{2} - \frac{2 \, a^{3} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{2 \, a b^{2} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{2 \, b f^{2} x + 2 \, b e f + {\left(a d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} a x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(b d f^{2} x^{2} e^{\left(2 \, c\right)} + b e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} b x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(a d f^{2} x^{2} e^{c} - 2 \, a e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} a x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \int \frac{2 \, {\left(b^{4} f^{2} x^{2} + 2 \, b^{4} e f x - {\left(a b^{3} f^{2} x^{2} e^{c} + 2 \, a b^{3} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"a^3*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 3*a*b^2*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*b^3*d^2*f^2*integrate(x^2/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*a^3*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 6*a*b^2*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 4*b^3*d^2*e*f*integrate(x/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - a^2*b*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) - b^3*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) + (b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - b^3*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 + 3*a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) - a*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e^2 - 2*a^3*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) - 2*a*b^2*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) + (2*b*f^2*x + 2*b*e*f + (a*d*f^2*x^2*e^(3*c) + 2*a*e*f*e^(3*c) + 2*(d*e*f + f^2)*a*x*e^(3*c))*e^(3*d*x) + 2*(b*d*f^2*x^2*e^(2*c) + b*e*f*e^(2*c) + (2*d*e*f + f^2)*b*x*e^(2*c))*e^(2*d*x) - (a*d*f^2*x^2*e^c - 2*a*e*f*e^c + 2*(d*e*f - f^2)*a*x*e^c)*e^(d*x))/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) - integrate(2*(b^4*f^2*x^2 + 2*b^4*e*f*x - (a*b^3*f^2*x^2*e^c + 2*a*b^3*e*f*x*e^c)*e^(d*x))/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x)","F",0
315,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b^{3} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} + 3 \, a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} - a e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e + f {\left(\frac{{\left(a d x e^{\left(3 \, c\right)} + a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(2 \, b d x e^{\left(2 \, c\right)} + b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(a d x e^{c} - a e^{c}\right)} e^{\left(d x\right)} + b}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 8 \, \int -\frac{a b^{3} x e^{\left(d x + c\right)} - b^{4} x}{4 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 8 \, \int \frac{2 \, b^{3} x + {\left(a^{3} e^{c} + 3 \, a b^{2} e^{c}\right)} x e^{\left(d x\right)}}{8 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)}"," ",0,"(b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - b^3*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 + 3*a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) - a*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e + f*(((a*d*x*e^(3*c) + a*e^(3*c))*e^(3*d*x) + (2*b*d*x*e^(2*c) + b*e^(2*c))*e^(2*d*x) - (a*d*x*e^c - a*e^c)*e^(d*x) + b)/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) - 8*integrate(-1/4*(a*b^3*x*e^(d*x + c) - b^4*x)/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) + 8*integrate(1/8*(2*b^3*x + (a^3*e^c + 3*a*b^2*e^c)*x*e^(d*x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x))","F",0
316,1,216,0,0.544698," ","integrate(sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b^{3} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} + 3 \, a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} - a e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}"," ",0,"b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - b^3*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 + 3*a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) - a*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d)","A",0
317,0,0,0,0.000000," ","integrate(sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b f - {\left(a d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, b d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f x e^{c} + {\left(d e + f\right)} a e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{2} + b^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + b^{2} d^{2} e f\right)} x + {\left(a^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(4 \, c\right)} + b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(2 \, c\right)} + b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + 8 \, \int \frac{2 \, b^{3} d^{2} f^{2} x^{2} + 4 \, b^{3} d^{2} e f x - 2 \, a^{2} b f^{2} + 2 \, {\left(d^{2} e^{2} - f^{2}\right)} b^{3} + {\left({\left(d^{2} e^{2} - 2 \, f^{2}\right)} a^{3} e^{c} + {\left(3 \, d^{2} e^{2} - 2 \, f^{2}\right)} a b^{2} e^{c} + {\left(a^{3} d^{2} f^{2} e^{c} + 3 \, a b^{2} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} d^{2} e f e^{c} + 3 \, a b^{2} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{8 \, {\left(a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} - 8 \, \int -\frac{a b^{3} e^{\left(d x + c\right)} - b^{4}}{4 \, {\left(a^{4} b e + 2 \, a^{2} b^{3} e + b^{5} e + {\left(a^{4} b f + 2 \, a^{2} b^{3} f + b^{5} f\right)} x - {\left(a^{4} b e e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)} + {\left(a^{4} b f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} f e^{\left(2 \, c\right)} + b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e e^{c} + 2 \, a^{3} b^{2} e e^{c} + a b^{4} e e^{c} + {\left(a^{5} f e^{c} + 2 \, a^{3} b^{2} f e^{c} + a b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-(b*f - (a*d*f*x*e^(3*c) + (d*e - f)*a*e^(3*c))*e^(3*d*x) - (2*b*d*f*x*e^(2*c) + (2*d*e - f)*b*e^(2*c))*e^(2*d*x) + (a*d*f*x*e^c + (d*e + f)*a*e^c)*e^(d*x))/(a^2*d^2*e^2 + b^2*d^2*e^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + b^2*d^2*e*f)*x + (a^2*d^2*e^2*e^(4*c) + b^2*d^2*e^2*e^(4*c) + (a^2*d^2*f^2*e^(4*c) + b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^2*d^2*e*f*e^(4*c) + b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + 2*(a^2*d^2*e^2*e^(2*c) + b^2*d^2*e^2*e^(2*c) + (a^2*d^2*f^2*e^(2*c) + b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^2*d^2*e*f*e^(2*c) + b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) + 8*integrate(1/8*(2*b^3*d^2*f^2*x^2 + 4*b^3*d^2*e*f*x - 2*a^2*b*f^2 + 2*(d^2*e^2 - f^2)*b^3 + ((d^2*e^2 - 2*f^2)*a^3*e^c + (3*d^2*e^2 - 2*f^2)*a*b^2*e^c + (a^3*d^2*f^2*e^c + 3*a*b^2*d^2*f^2*e^c)*x^2 + 2*(a^3*d^2*e*f*e^c + 3*a*b^2*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x) - 8*integrate(-1/4*(a*b^3*e^(d*x + c) - b^4)/(a^4*b*e + 2*a^2*b^3*e + b^5*e + (a^4*b*f + 2*a^2*b^3*f + b^5*f)*x - (a^4*b*e*e^(2*c) + 2*a^2*b^3*e*e^(2*c) + b^5*e*e^(2*c) + (a^4*b*f*e^(2*c) + 2*a^2*b^3*f*e^(2*c) + b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*e*e^c + 2*a^3*b^2*e*e^c + a*b^4*e*e^c + (a^5*f*e^c + 2*a^3*b^2*f*e^c + a*b^4*f*e^c)*x)*e^(d*x)), x)","F",0
318,0,0,0,0.000000," ","integrate(x^m*cosh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{x^{m} \cosh\left(d x + c\right)^{3}}{b \sinh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^m*cosh(d*x + c)^3/(b*sinh(d*x + c) + a), x)","F",0
319,0,0,0,0.000000," ","integrate(x^m*cosh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{x^{m} \cosh\left(d x + c\right)^{2}}{b \sinh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^m*cosh(d*x + c)^2/(b*sinh(d*x + c) + a), x)","F",0
320,0,0,0,0.000000," ","integrate(x^m*cosh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{x e^{\left(2 \, d x + m \log\left(x\right) + 2 \, c\right)}}{b {\left(m + 1\right)} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a {\left(m + 1\right)} e^{\left(d x + c\right)} - b {\left(m + 1\right)}} - \frac{1}{2} \, \int \frac{2 \, {\left(2 \, a d x e^{\left(3 \, d x + 3 \, c\right)} - 2 \, a {\left(m + 1\right)} e^{\left(d x + c\right)} + b {\left(m + 1\right)} - {\left(2 \, b d x e^{\left(2 \, c\right)} + b {\left(m + 1\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)} x^{m}}{b^{2} {\left(m + 1\right)} e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a b {\left(m + 1\right)} e^{\left(3 \, d x + 3 \, c\right)} - 4 \, a b {\left(m + 1\right)} e^{\left(d x + c\right)} + b^{2} {\left(m + 1\right)} + 2 \, {\left(2 \, a^{2} {\left(m + 1\right)} e^{\left(2 \, c\right)} - b^{2} {\left(m + 1\right)} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"x*e^(2*d*x + m*log(x) + 2*c)/(b*(m + 1)*e^(2*d*x + 2*c) + 2*a*(m + 1)*e^(d*x + c) - b*(m + 1)) - 1/2*integrate(2*(2*a*d*x*e^(3*d*x + 3*c) - 2*a*(m + 1)*e^(d*x + c) + b*(m + 1) - (2*b*d*x*e^(2*c) + b*(m + 1)*e^(2*c))*e^(2*d*x))*x^m/(b^2*(m + 1)*e^(4*d*x + 4*c) + 4*a*b*(m + 1)*e^(3*d*x + 3*c) - 4*a*b*(m + 1)*e^(d*x + c) + b^2*(m + 1) + 2*(2*a^2*(m + 1)*e^(2*c) - b^2*(m + 1)*e^(2*c))*e^(2*d*x)), x)","F",0
321,1,157,0,0.522301," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-f {\left(\frac{2 \, x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - \frac{\log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d^{2}}\right)} - \frac{2 \, e e^{\left(-d x - c\right)}}{{\left(2 \, a b e^{\left(-d x - c\right)} - b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2}\right)} d}"," ",0,"-f*(2*x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d^2)) - 2*e*e^(-d*x - c)/((2*a*b*e^(-d*x - c) - b^2*e^(-2*d*x - 2*c) + b^2)*d)","B",0
322,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-2 \, {\left(\frac{x^{2} e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - 2 \, \int \frac{x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d}\,{d x}\right)} f^{2} - 2 \, e f {\left(\frac{2 \, x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - \frac{\log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d^{2}}\right)} - \frac{2 \, e^{2} e^{\left(-d x - c\right)}}{{\left(2 \, a b e^{\left(-d x - c\right)} - b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2}\right)} d}"," ",0,"-2*(x^2*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - 2*integrate(x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d), x))*f^2 - 2*e*f*(2*x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d^2)) - 2*e^2*e^(-d*x - c)/((2*a*b*e^(-d*x - c) - b^2*e^(-2*d*x - 2*c) + b^2)*d)","F",0
323,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-3 \, e^{2} f {\left(\frac{2 \, x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - \frac{\log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d^{2}}\right)} - \frac{2 \, e^{3} e^{\left(-d x - c\right)}}{{\left(2 \, a b e^{\left(-d x - c\right)} - b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2}\right)} d} - \frac{2 \, {\left(f^{3} x^{3} e^{c} + 3 \, e f^{2} x^{2} e^{c}\right)} e^{\left(d x\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} + \int \frac{6 \, {\left(f^{3} x^{2} e^{c} + 2 \, e f^{2} x e^{c}\right)} e^{\left(d x\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d}\,{d x}"," ",0,"-3*e^2*f*(2*x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d^2)) - 2*e^3*e^(-d*x - c)/((2*a*b*e^(-d*x - c) - b^2*e^(-2*d*x - 2*c) + b^2)*d) - 2*(f^3*x^3*e^c + 3*e*f^2*x^2*e^c)*e^(d*x)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) + integrate(6*(f^3*x^2*e^c + 2*e*f^2*x*e^c)*e^(d*x)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d), x)","F",0
324,1,157,0,0.535925," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-f {\left(\frac{2 \, x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - \frac{\log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d^{2}}\right)} - \frac{2 \, e e^{\left(-d x - c\right)}}{{\left(2 \, a b e^{\left(-d x - c\right)} - b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2}\right)} d}"," ",0,"-f*(2*x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d^2)) - 2*e*e^(-d*x - c)/((2*a*b*e^(-d*x - c) - b^2*e^(-2*d*x - 2*c) + b^2)*d)","B",0
325,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-2 \, {\left(\frac{x^{2} e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - 2 \, \int \frac{x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d}\,{d x}\right)} f^{2} - 2 \, e f {\left(\frac{2 \, x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - \frac{\log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d^{2}}\right)} - \frac{2 \, e^{2} e^{\left(-d x - c\right)}}{{\left(2 \, a b e^{\left(-d x - c\right)} - b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2}\right)} d}"," ",0,"-2*(x^2*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - 2*integrate(x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d), x))*f^2 - 2*e*f*(2*x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d^2)) - 2*e^2*e^(-d*x - c)/((2*a*b*e^(-d*x - c) - b^2*e^(-2*d*x - 2*c) + b^2)*d)","F",0
326,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-3 \, e^{2} f {\left(\frac{2 \, x e^{\left(d x + c\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} - \frac{\log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b d^{2}}\right)} - \frac{2 \, e^{3} e^{\left(-d x - c\right)}}{{\left(2 \, a b e^{\left(-d x - c\right)} - b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2}\right)} d} - \frac{2 \, {\left(f^{3} x^{3} e^{c} + 3 \, e f^{2} x^{2} e^{c}\right)} e^{\left(d x\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d} + \int \frac{6 \, {\left(f^{3} x^{2} e^{c} + 2 \, e f^{2} x e^{c}\right)} e^{\left(d x\right)}}{b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b d e^{\left(d x + c\right)} - b^{2} d}\,{d x}"," ",0,"-3*e^2*f*(2*x*e^(d*x + c)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) - log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b*d^2)) - 2*e^3*e^(-d*x - c)/((2*a*b*e^(-d*x - c) - b^2*e^(-2*d*x - 2*c) + b^2)*d) - 2*(f^3*x^3*e^c + 3*e*f^2*x^2*e^c)*e^(d*x)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d) + integrate(6*(f^3*x^2*e^c + 2*e*f^2*x*e^c)*e^(d*x)/(b^2*d*e^(2*d*x + 2*c) + 2*a*b*d*e^(d*x + c) - b^2*d), x)","F",0
327,1,413,0,0.595546," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{1}{2} \, f {\left(\frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b e^{\left(d x + c\right)} + b^{2} + {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} + \frac{a \log\left(\frac{b e^{\left(d x + 2 \, c\right)} + a e^{c} - \sqrt{a^{2} + b^{2}} e^{c}}{b e^{\left(d x + 2 \, c\right)} + a e^{c} + \sqrt{a^{2} + b^{2}} e^{c}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} - \frac{2 \, e e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(4 \, a b^{2} e^{\left(-d x - c\right)} - 4 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"1/2*f*(2*(a*b*e^(3*d*x + 3*c) - 3*a*b*e^(d*x + c) + b^2 + (2*a^2*e^(2*c) - b^2*e^(2*c) - 2*(a^2*d*e^(2*c) + b^2*d*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) + a*log((b*e^(d*x + 2*c) + a*e^c - sqrt(a^2 + b^2)*e^c)/(b*e^(d*x + 2*c) + a*e^c + sqrt(a^2 + b^2)*e^c))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^2)) - 2*e*e^(-2*d*x - 2*c)/((4*a*b^2*e^(-d*x - c) - 4*a*b^2*e^(-3*d*x - 3*c) + b^3*e^(-4*d*x - 4*c) + b^3 + 2*(2*a^2*b - b^3)*e^(-2*d*x - 2*c))*d)","B",0
328,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","{\left(2 \, a d \int \frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + b {\left(\frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d^{3}} - \frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{\log\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} + \frac{2 \, {\left(a b x e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b x e^{\left(d x + c\right)} + b^{2} x - {\left({\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} - {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} - \frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{3}}\right)} f^{2} + e f {\left(\frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b e^{\left(d x + c\right)} + b^{2} + {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} + \frac{a \log\left(\frac{b e^{\left(d x + 2 \, c\right)} + a e^{c} - \sqrt{a^{2} + b^{2}} e^{c}}{b e^{\left(d x + 2 \, c\right)} + a e^{c} + \sqrt{a^{2} + b^{2}} e^{c}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} - \frac{2 \, e^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(4 \, a b^{2} e^{\left(-d x - c\right)} - 4 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"(2*a*d*integrate(x*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + b*(a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d^3) - 2*(d*x + c)/((a^2*b^2 + b^4)*d^3) + log(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)/((a^2*b^2 + b^4)*d^3)) + 2*(a*b*x*e^(3*d*x + 3*c) - 3*a*b*x*e^(d*x + c) + b^2*x - ((a^2*d*e^(2*c) + b^2*d*e^(2*c))*x^2 - (2*a^2*e^(2*c) - b^2*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) - a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^3))*f^2 + e*f*(2*(a*b*e^(3*d*x + 3*c) - 3*a*b*e^(d*x + c) + b^2 + (2*a^2*e^(2*c) - b^2*e^(2*c) - 2*(a^2*d*e^(2*c) + b^2*d*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) + a*log((b*e^(d*x + 2*c) + a*e^c - sqrt(a^2 + b^2)*e^c)/(b*e^(d*x + 2*c) + a*e^c + sqrt(a^2 + b^2)*e^c))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^2)) - 2*e^2*e^(-2*d*x - 2*c)/((4*a*b^2*e^(-d*x - c) - 4*a*b^2*e^(-3*d*x - 3*c) + b^3*e^(-4*d*x - 4*c) + b^3 + 2*(2*a^2*b - b^3)*e^(-2*d*x - 2*c))*d)","F",0
329,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","3 \, a d f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + 6 \, a d e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + 3 \, b e f^{2} {\left(\frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d^{3}} - \frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{\log\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - 6 \, a f^{3} \int \frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + 6 \, b f^{3} \int \frac{x}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + \frac{3}{2} \, e^{2} f {\left(\frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b e^{\left(d x + c\right)} + b^{2} + {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} + \frac{a \log\left(\frac{b e^{\left(d x + 2 \, c\right)} + a e^{c} - \sqrt{a^{2} + b^{2}} e^{c}}{b e^{\left(d x + 2 \, c\right)} + a e^{c} + \sqrt{a^{2} + b^{2}} e^{c}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} - \frac{2 \, e^{3} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(4 \, a b^{2} e^{\left(-d x - c\right)} - 4 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{3 \, a e f^{2} \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{3}} + \frac{3 \, b^{2} f^{3} x^{2} + 6 \, b^{2} e f^{2} x + 3 \, {\left(a b f^{3} x^{2} e^{\left(3 \, c\right)} + 2 \, a b e f^{2} x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, {\left(a^{2} d f^{3} e^{\left(2 \, c\right)} + b^{2} d f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(2 \, {\left(d e f^{2} - f^{3}\right)} a^{2} e^{\left(2 \, c\right)} + {\left(2 \, d e f^{2} + f^{3}\right)} b^{2} e^{\left(2 \, c\right)}\right)} x^{2} - 6 \, {\left(2 \, a^{2} e f^{2} e^{\left(2 \, c\right)} - b^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 9 \, {\left(a b f^{3} x^{2} e^{c} + 2 \, a b e f^{2} x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}}"," ",0,"3*a*d*f^3*integrate(x^2*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 6*a*d*e*f^2*integrate(x*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 3*b*e*f^2*(a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d^3) - 2*(d*x + c)/((a^2*b^2 + b^4)*d^3) + log(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)/((a^2*b^2 + b^4)*d^3)) - 6*a*f^3*integrate(x*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 6*b*f^3*integrate(x/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 3/2*e^2*f*(2*(a*b*e^(3*d*x + 3*c) - 3*a*b*e^(d*x + c) + b^2 + (2*a^2*e^(2*c) - b^2*e^(2*c) - 2*(a^2*d*e^(2*c) + b^2*d*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) + a*log((b*e^(d*x + 2*c) + a*e^c - sqrt(a^2 + b^2)*e^c)/(b*e^(d*x + 2*c) + a*e^c + sqrt(a^2 + b^2)*e^c))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^2)) - 2*e^3*e^(-2*d*x - 2*c)/((4*a*b^2*e^(-d*x - c) - 4*a*b^2*e^(-3*d*x - 3*c) + b^3*e^(-4*d*x - 4*c) + b^3 + 2*(2*a^2*b - b^3)*e^(-2*d*x - 2*c))*d) - 3*a*e*f^2*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^3) + (3*b^2*f^3*x^2 + 6*b^2*e*f^2*x + 3*(a*b*f^3*x^2*e^(3*c) + 2*a*b*e*f^2*x*e^(3*c))*e^(3*d*x) - (2*(a^2*d*f^3*e^(2*c) + b^2*d*f^3*e^(2*c))*x^3 + 3*(2*(d*e*f^2 - f^3)*a^2*e^(2*c) + (2*d*e*f^2 + f^3)*b^2*e^(2*c))*x^2 - 6*(2*a^2*e*f^2*e^(2*c) - b^2*e*f^2*e^(2*c))*x)*e^(2*d*x) - 9*(a*b*f^3*x^2*e^c + 2*a*b*e*f^2*x*e^c)*e^(d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x))","F",0
330,1,413,0,0.691728," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{1}{2} \, f {\left(\frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b e^{\left(d x + c\right)} + b^{2} + {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} + \frac{a \log\left(\frac{b e^{\left(d x + 2 \, c\right)} + a e^{c} - \sqrt{a^{2} + b^{2}} e^{c}}{b e^{\left(d x + 2 \, c\right)} + a e^{c} + \sqrt{a^{2} + b^{2}} e^{c}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} - \frac{2 \, e e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(4 \, a b^{2} e^{\left(-d x - c\right)} - 4 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"1/2*f*(2*(a*b*e^(3*d*x + 3*c) - 3*a*b*e^(d*x + c) + b^2 + (2*a^2*e^(2*c) - b^2*e^(2*c) - 2*(a^2*d*e^(2*c) + b^2*d*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) + a*log((b*e^(d*x + 2*c) + a*e^c - sqrt(a^2 + b^2)*e^c)/(b*e^(d*x + 2*c) + a*e^c + sqrt(a^2 + b^2)*e^c))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^2)) - 2*e*e^(-2*d*x - 2*c)/((4*a*b^2*e^(-d*x - c) - 4*a*b^2*e^(-3*d*x - 3*c) + b^3*e^(-4*d*x - 4*c) + b^3 + 2*(2*a^2*b - b^3)*e^(-2*d*x - 2*c))*d)","B",0
331,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","{\left(2 \, a d \int \frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + b {\left(\frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d^{3}} - \frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{\log\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} + \frac{2 \, {\left(a b x e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b x e^{\left(d x + c\right)} + b^{2} x - {\left({\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} - {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} - \frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{3}}\right)} f^{2} + e f {\left(\frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b e^{\left(d x + c\right)} + b^{2} + {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} + \frac{a \log\left(\frac{b e^{\left(d x + 2 \, c\right)} + a e^{c} - \sqrt{a^{2} + b^{2}} e^{c}}{b e^{\left(d x + 2 \, c\right)} + a e^{c} + \sqrt{a^{2} + b^{2}} e^{c}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} - \frac{2 \, e^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(4 \, a b^{2} e^{\left(-d x - c\right)} - 4 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"(2*a*d*integrate(x*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + b*(a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d^3) - 2*(d*x + c)/((a^2*b^2 + b^4)*d^3) + log(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)/((a^2*b^2 + b^4)*d^3)) + 2*(a*b*x*e^(3*d*x + 3*c) - 3*a*b*x*e^(d*x + c) + b^2*x - ((a^2*d*e^(2*c) + b^2*d*e^(2*c))*x^2 - (2*a^2*e^(2*c) - b^2*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) - a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^3))*f^2 + e*f*(2*(a*b*e^(3*d*x + 3*c) - 3*a*b*e^(d*x + c) + b^2 + (2*a^2*e^(2*c) - b^2*e^(2*c) - 2*(a^2*d*e^(2*c) + b^2*d*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) + a*log((b*e^(d*x + 2*c) + a*e^c - sqrt(a^2 + b^2)*e^c)/(b*e^(d*x + 2*c) + a*e^c + sqrt(a^2 + b^2)*e^c))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^2)) - 2*e^2*e^(-2*d*x - 2*c)/((4*a*b^2*e^(-d*x - c) - 4*a*b^2*e^(-3*d*x - 3*c) + b^3*e^(-4*d*x - 4*c) + b^3 + 2*(2*a^2*b - b^3)*e^(-2*d*x - 2*c))*d)","F",0
332,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","3 \, a d f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + 6 \, a d e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + 3 \, b e f^{2} {\left(\frac{a \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d^{3}} - \frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{\log\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - 6 \, a f^{3} \int \frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + 6 \, b f^{3} \int \frac{x}{a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + 2 \, a b^{3} d^{2} e^{\left(d x + c\right)} - a^{2} b^{2} d^{2} - b^{4} d^{2}}\,{d x} + \frac{3}{2} \, e^{2} f {\left(\frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} - 3 \, a b e^{\left(d x + c\right)} + b^{2} + {\left(2 \, a^{2} e^{\left(2 \, c\right)} - b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}} + \frac{a \log\left(\frac{b e^{\left(d x + 2 \, c\right)} + a e^{c} - \sqrt{a^{2} + b^{2}} e^{c}}{b e^{\left(d x + 2 \, c\right)} + a e^{c} + \sqrt{a^{2} + b^{2}} e^{c}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{2}}\right)} - \frac{2 \, e^{3} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(4 \, a b^{2} e^{\left(-d x - c\right)} - 4 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + b^{3} + 2 \, {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{3 \, a e f^{2} \log\left(\frac{b e^{\left(d x + c\right)} + a - \sqrt{a^{2} + b^{2}}}{b e^{\left(d x + c\right)} + a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d^{3}} + \frac{3 \, b^{2} f^{3} x^{2} + 6 \, b^{2} e f^{2} x + 3 \, {\left(a b f^{3} x^{2} e^{\left(3 \, c\right)} + 2 \, a b e f^{2} x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, {\left(a^{2} d f^{3} e^{\left(2 \, c\right)} + b^{2} d f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(2 \, {\left(d e f^{2} - f^{3}\right)} a^{2} e^{\left(2 \, c\right)} + {\left(2 \, d e f^{2} + f^{3}\right)} b^{2} e^{\left(2 \, c\right)}\right)} x^{2} - 6 \, {\left(2 \, a^{2} e f^{2} e^{\left(2 \, c\right)} - b^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 9 \, {\left(a b f^{3} x^{2} e^{c} + 2 \, a b e f^{2} x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b^{3} d^{2} + b^{5} d^{2} + {\left(a^{2} b^{3} d^{2} e^{\left(4 \, c\right)} + b^{5} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 4 \, {\left(a^{3} b^{2} d^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(2 \, a^{4} b d^{2} e^{\left(2 \, c\right)} + a^{2} b^{3} d^{2} e^{\left(2 \, c\right)} - b^{5} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 4 \, {\left(a^{3} b^{2} d^{2} e^{c} + a b^{4} d^{2} e^{c}\right)} e^{\left(d x\right)}}"," ",0,"3*a*d*f^3*integrate(x^2*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 6*a*d*e*f^2*integrate(x*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 3*b*e*f^2*(a*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d^3) - 2*(d*x + c)/((a^2*b^2 + b^4)*d^3) + log(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)/((a^2*b^2 + b^4)*d^3)) - 6*a*f^3*integrate(x*e^(d*x + c)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 6*b*f^3*integrate(x/(a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + 2*a*b^3*d^2*e^(d*x + c) - a^2*b^2*d^2 - b^4*d^2), x) + 3/2*e^2*f*(2*(a*b*e^(3*d*x + 3*c) - 3*a*b*e^(d*x + c) + b^2 + (2*a^2*e^(2*c) - b^2*e^(2*c) - 2*(a^2*d*e^(2*c) + b^2*d*e^(2*c))*x)*e^(2*d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x)) + a*log((b*e^(d*x + 2*c) + a*e^c - sqrt(a^2 + b^2)*e^c)/(b*e^(d*x + 2*c) + a*e^c + sqrt(a^2 + b^2)*e^c))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^2)) - 2*e^3*e^(-2*d*x - 2*c)/((4*a*b^2*e^(-d*x - c) - 4*a*b^2*e^(-3*d*x - 3*c) + b^3*e^(-4*d*x - 4*c) + b^3 + 2*(2*a^2*b - b^3)*e^(-2*d*x - 2*c))*d) - 3*a*e*f^2*log((b*e^(d*x + c) + a - sqrt(a^2 + b^2))/(b*e^(d*x + c) + a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d^3) + (3*b^2*f^3*x^2 + 6*b^2*e*f^2*x + 3*(a*b*f^3*x^2*e^(3*c) + 2*a*b*e*f^2*x*e^(3*c))*e^(3*d*x) - (2*(a^2*d*f^3*e^(2*c) + b^2*d*f^3*e^(2*c))*x^3 + 3*(2*(d*e*f^2 - f^3)*a^2*e^(2*c) + (2*d*e*f^2 + f^3)*b^2*e^(2*c))*x^2 - 6*(2*a^2*e*f^2*e^(2*c) - b^2*e*f^2*e^(2*c))*x)*e^(2*d*x) - 9*(a*b*f^3*x^2*e^c + 2*a*b*e*f^2*x*e^c)*e^(d*x))/(a^2*b^3*d^2 + b^5*d^2 + (a^2*b^3*d^2*e^(4*c) + b^5*d^2*e^(4*c))*e^(4*d*x) + 4*(a^3*b^2*d^2*e^(3*c) + a*b^4*d^2*e^(3*c))*e^(3*d*x) + 2*(2*a^4*b*d^2*e^(2*c) + a^2*b^3*d^2*e^(2*c) - b^5*d^2*e^(2*c))*e^(2*d*x) - 4*(a^3*b^2*d^2*e^c + a*b^4*d^2*e^c)*e^(d*x))","F",0
333,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d} + \frac{2 \, a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{2} d}\right)} - \frac{{\left(a d^{4} f^{3} x^{4} e^{c} + 4 \, a d^{4} e f^{2} x^{3} e^{c} + 6 \, a d^{4} e^{2} f x^{2} e^{c} - 2 \, {\left(b d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 2 \, {\left(b d^{3} f^{3} x^{3} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b x^{2} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{4 \, b^{2} d^{4}} + \int -\frac{2 \, {\left(a b f^{3} x^{3} + 3 \, a b e f^{2} x^{2} + 3 \, a b e^{2} f x - {\left(a^{2} f^{3} x^{3} e^{c} + 3 \, a^{2} e f^{2} x^{2} e^{c} + 3 \, a^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}"," ",0,"-1/2*e^3*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d) + 2*a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^2*d)) - 1/4*(a*d^4*f^3*x^4*e^c + 4*a*d^4*e*f^2*x^3*e^c + 6*a*d^4*e^2*f*x^2*e^c - 2*(b*d^3*f^3*x^3*e^(2*c) + 3*(d^3*e*f^2 - d^2*f^3)*b*x^2*e^(2*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b*x*e^(2*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b*e^(2*c))*e^(d*x) + 2*(b*d^3*f^3*x^3 + 3*(d^3*e*f^2 + d^2*f^3)*b*x^2 + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b*x + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b)*e^(-d*x))*e^(-c)/(b^2*d^4) + integrate(-2*(a*b*f^3*x^3 + 3*a*b*e*f^2*x^2 + 3*a*b*e^2*f*x - (a^2*f^3*x^3*e^c + 3*a^2*e*f^2*x^2*e^c + 3*a^2*e^2*f*x*e^c)*e^(d*x))/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x)","F",0
334,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d} + \frac{2 \, a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{2} d}\right)} - \frac{{\left(2 \, a d^{3} f^{2} x^{3} e^{c} + 6 \, a d^{3} e f x^{2} e^{c} - 3 \, {\left(b d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} b x e^{\left(2 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 3 \, {\left(b d^{2} f^{2} x^{2} + 2 \, {\left(d^{2} e f + d f^{2}\right)} b x + 2 \, {\left(d e f + f^{2}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{6 \, b^{2} d^{3}} + \int -\frac{2 \, {\left(a b f^{2} x^{2} + 2 \, a b e f x - {\left(a^{2} f^{2} x^{2} e^{c} + 2 \, a^{2} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}"," ",0,"-1/2*e^2*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d) + 2*a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^2*d)) - 1/6*(2*a*d^3*f^2*x^3*e^c + 6*a*d^3*e*f*x^2*e^c - 3*(b*d^2*f^2*x^2*e^(2*c) + 2*(d^2*e*f - d*f^2)*b*x*e^(2*c) - 2*(d*e*f - f^2)*b*e^(2*c))*e^(d*x) + 3*(b*d^2*f^2*x^2 + 2*(d^2*e*f + d*f^2)*b*x + 2*(d*e*f + f^2)*b)*e^(-d*x))*e^(-c)/(b^2*d^3) + integrate(-2*(a*b*f^2*x^2 + 2*a*b*e*f*x - (a^2*f^2*x^2*e^c + 2*a^2*e*f*x*e^c)*e^(d*x))/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x)","F",0
335,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d} + \frac{2 \, a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{2} d}\right)} - \frac{1}{4} \, f {\left(\frac{2 \, {\left(a d^{2} x^{2} e^{c} - {\left(b d x e^{\left(2 \, c\right)} - b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + {\left(b d x + b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{b^{2} d^{2}} - \int \frac{8 \, {\left(a^{2} x e^{\left(d x + c\right)} - a b x\right)}}{b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{2} e^{\left(d x + c\right)} - b^{3}}\,{d x}\right)}"," ",0,"-1/2*e*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d) + 2*a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^2*d)) - 1/4*f*(2*(a*d^2*x^2*e^c - (b*d*x*e^(2*c) - b*e^(2*c))*e^(d*x) + (b*d*x + b)*e^(-d*x))*e^(-c)/(b^2*d^2) - integrate(8*(a^2*x*e^(d*x + c) - a*b*x)/(b^3*e^(2*d*x + 2*c) + 2*a*b^2*e^(d*x + c) - b^3), x))","F",0
336,1,83,0,0.346097," ","integrate(cosh(d*x+c)*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{2 \, b d} - \frac{e^{\left(-d x - c\right)}}{2 \, b d} - \frac{a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{2} d}"," ",0,"-(d*x + c)*a/(b^2*d) + 1/2*e^(d*x + c)/(b*d) - 1/2*e^(-d*x - c)/(b*d) - a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^2*d)","B",0
337,0,0,0,0.000000," ","integrate(cosh(d*x+c)*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{a \log\left(f x + e\right)}{b^{2} f} + \frac{1}{4} \, \int -\frac{8 \, {\left(a^{2} e^{\left(d x + c\right)} - a b\right)}}{b^{3} f x + b^{3} e - {\left(b^{3} f x e^{\left(2 \, c\right)} + b^{3} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{2} f x e^{c} + a b^{2} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-1/2*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b*f) - 1/2*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b*f) - a*log(f*x + e)/(b^2*f) + 1/4*integrate(-8*(a^2*e^(d*x + c) - a*b)/(b^3*f*x + b^3*e - (b^3*f*x*e^(2*c) + b^3*e*e^(2*c))*e^(2*d*x) - 2*(a*b^2*f*x*e^c + a*b^2*e*e^c)*e^(d*x)), x)","F",0
338,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{3} {\left(\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} + \frac{8 \, \sqrt{a^{2} + b^{2}} a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{3} d} - \frac{4 \, {\left(2 \, a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{{\left(4 \, {\left(2 \, a^{2} d^{4} f^{3} e^{\left(2 \, c\right)} + b^{2} d^{4} f^{3} e^{\left(2 \, c\right)}\right)} x^{4} + 16 \, {\left(2 \, a^{2} d^{4} e f^{2} e^{\left(2 \, c\right)} + b^{2} d^{4} e f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 24 \, {\left(2 \, a^{2} d^{4} e^{2} f e^{\left(2 \, c\right)} + b^{2} d^{4} e^{2} f e^{\left(2 \, c\right)}\right)} x^{2} + {\left(4 \, b^{2} d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{2} x^{2} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x e^{\left(4 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{\left(3 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{c} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b x^{2} e^{c} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{c} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{c}\right)} e^{\left(-d x\right)} - {\left(4 \, b^{2} d^{3} f^{3} x^{3} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{2} x^{2} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{32 \, b^{3} d^{4}} - \int \frac{2 \, {\left({\left(a^{3} f^{3} e^{c} + a b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{3} e f^{2} e^{c} + a b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{3} e^{2} f e^{c} + a b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"-1/8*e^3*((4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 8*sqrt(a^2 + b^2)*a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^3*d) - 4*(2*a^2 + b^2)*(d*x + c)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/32*(4*(2*a^2*d^4*f^3*e^(2*c) + b^2*d^4*f^3*e^(2*c))*x^4 + 16*(2*a^2*d^4*e*f^2*e^(2*c) + b^2*d^4*e*f^2*e^(2*c))*x^3 + 24*(2*a^2*d^4*e^2*f*e^(2*c) + b^2*d^4*e^2*f*e^(2*c))*x^2 + (4*b^2*d^3*f^3*x^3*e^(4*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*b^2*x^2*e^(4*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*b^2*x*e^(4*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*b^2*e^(4*c))*e^(2*d*x) - 16*(a*b*d^3*f^3*x^3*e^(3*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*b*x^2*e^(3*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^(3*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b*e^(3*c))*e^(d*x) - 16*(a*b*d^3*f^3*x^3*e^c + 3*(d^3*e*f^2 + d^2*f^3)*a*b*x^2*e^c + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^c + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b*e^c)*e^(-d*x) - (4*b^2*d^3*f^3*x^3 + 6*(2*d^3*e*f^2 + d^2*f^3)*b^2*x^2 + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*b^2*x + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^4) - integrate(2*((a^3*f^3*e^c + a*b^2*f^3*e^c)*x^3 + 3*(a^3*e*f^2*e^c + a*b^2*e*f^2*e^c)*x^2 + 3*(a^3*e^2*f*e^c + a*b^2*e^2*f*e^c)*x)*e^(d*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
339,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{8} \, e^{2} {\left(\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} + \frac{8 \, \sqrt{a^{2} + b^{2}} a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{3} d} - \frac{4 \, {\left(2 \, a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{{\left(8 \, {\left(2 \, a^{2} d^{3} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{3} f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 24 \, {\left(2 \, a^{2} d^{3} e f e^{\left(2 \, c\right)} + b^{2} d^{3} e f e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} b^{2} x e^{\left(4 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} a b x e^{\left(3 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(d^{2} e f + d f^{2}\right)} a b x e^{c} + 2 \, {\left(d e f + f^{2}\right)} a b e^{c}\right)} e^{\left(-d x\right)} - 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} b^{2} x + {\left(2 \, d e f + f^{2}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{48 \, b^{3} d^{3}} - \int \frac{2 \, {\left({\left(a^{3} f^{2} e^{c} + a b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} e f e^{c} + a b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"-1/8*e^2*((4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 8*sqrt(a^2 + b^2)*a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^3*d) - 4*(2*a^2 + b^2)*(d*x + c)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/48*(8*(2*a^2*d^3*f^2*e^(2*c) + b^2*d^3*f^2*e^(2*c))*x^3 + 24*(2*a^2*d^3*e*f*e^(2*c) + b^2*d^3*e*f*e^(2*c))*x^2 + 3*(2*b^2*d^2*f^2*x^2*e^(4*c) + 2*(2*d^2*e*f - d*f^2)*b^2*x*e^(4*c) - (2*d*e*f - f^2)*b^2*e^(4*c))*e^(2*d*x) - 24*(a*b*d^2*f^2*x^2*e^(3*c) + 2*(d^2*e*f - d*f^2)*a*b*x*e^(3*c) - 2*(d*e*f - f^2)*a*b*e^(3*c))*e^(d*x) - 24*(a*b*d^2*f^2*x^2*e^c + 2*(d^2*e*f + d*f^2)*a*b*x*e^c + 2*(d*e*f + f^2)*a*b*e^c)*e^(-d*x) - 3*(2*b^2*d^2*f^2*x^2 + 2*(2*d^2*e*f + d*f^2)*b^2*x + (2*d*e*f + f^2)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^3) - integrate(2*((a^3*f^2*e^c + a*b^2*f^2*e^c)*x^2 + 2*(a^3*e*f*e^c + a*b^2*e*f*e^c)*x)*e^(d*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
340,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(32 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x} - \frac{{\left(4 \, {\left(2 \, a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} x^{2} + {\left(2 \, b^{2} d x e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 8 \, {\left(a b d x e^{\left(3 \, c\right)} - a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} - 8 \, {\left(a b d x e^{c} + a b e^{c}\right)} e^{\left(-d x\right)} - {\left(2 \, b^{2} d x + b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{b^{3} d^{2}}\right)} f - \frac{1}{8} \, e {\left(\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} + \frac{8 \, \sqrt{a^{2} + b^{2}} a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{3} d} - \frac{4 \, {\left(2 \, a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)}"," ",0,"-1/16*(32*(a^3*e^c + a*b^2*e^c)*integrate(x*e^(d*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x) - (4*(2*a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*x^2 + (2*b^2*d*x*e^(4*c) - b^2*e^(4*c))*e^(2*d*x) - 8*(a*b*d*x*e^(3*c) - a*b*e^(3*c))*e^(d*x) - 8*(a*b*d*x*e^c + a*b*e^c)*e^(-d*x) - (2*b^2*d*x + b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^2))*f - 1/8*e*((4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 8*sqrt(a^2 + b^2)*a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^3*d) - 4*(2*a^2 + b^2)*(d*x + c)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d))","F",0
341,1,160,0,0.419402," ","integrate(cosh(d*x+c)^2*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, b^{2} d} - \frac{\sqrt{a^{2} + b^{2}} a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{3} d} + \frac{{\left(2 \, a^{2} + b^{2}\right)} {\left(d x + c\right)}}{2 \, b^{3} d} - \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, b^{2} d}"," ",0,"-1/8*(4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) - sqrt(a^2 + b^2)*a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^3*d) + 1/2*(2*a^2 + b^2)*(d*x + c)/(b^3*d) - 1/8*(4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)","A",0
342,0,0,0,0.000000," ","integrate(cosh(d*x+c)^2*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{b^{4} f x + b^{4} e - {\left(b^{4} f x e^{\left(2 \, c\right)} + b^{4} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{3} f x e^{c} + a b^{3} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} - \frac{a e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} + \frac{a e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} - \frac{e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} + \frac{{\left(2 \, a^{2} + b^{2}\right)} \log\left(f x + e\right)}{2 \, b^{3} f}"," ",0,"-2*(a^3*e^c + a*b^2*e^c)*integrate(-e^(d*x)/(b^4*f*x + b^4*e - (b^4*f*x*e^(2*c) + b^4*e*e^(2*c))*e^(2*d*x) - 2*(a*b^3*f*x*e^c + a*b^3*e*e^c)*e^(d*x)), x) - 1/4*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b*f) - 1/2*a*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^2*f) + 1/2*a*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^2*f) - 1/4*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b*f) + 1/2*(2*a^2 + b^2)*log(f*x + e)/(b^3*f)","F",0
343,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{3} {\left(\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} + \frac{24 \, {\left(a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d} + \frac{24 \, {\left(a^{3} + a b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d}\right)} - \frac{{\left(216 \, {\left(a^{3} d^{4} f^{3} e^{\left(3 \, c\right)} + a b^{2} d^{4} f^{3} e^{\left(3 \, c\right)}\right)} x^{4} + 864 \, {\left(a^{3} d^{4} e f^{2} e^{\left(3 \, c\right)} + a b^{2} d^{4} e f^{2} e^{\left(3 \, c\right)}\right)} x^{3} + 1296 \, {\left(a^{3} d^{4} e^{2} f e^{\left(3 \, c\right)} + a b^{2} d^{4} e^{2} f e^{\left(3 \, c\right)}\right)} x^{2} - 4 \, {\left(9 \, b^{3} d^{3} f^{3} x^{3} e^{\left(6 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{3} x^{2} e^{\left(6 \, c\right)} + 3 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} x e^{\left(6 \, c\right)} - {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(4 \, a b^{2} d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{2} x^{2} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{2} x e^{\left(5 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 108 \, {\left(12 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} + 9 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d^{3} f^{3} e^{\left(4 \, c\right)} + 3 \, b^{3} d^{3} f^{3} e^{\left(4 \, c\right)}\right)} x^{3} - 3 \, {\left(4 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x^{2} - 3 \, {\left(4 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 108 \, {\left(12 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} + 9 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d^{3} f^{3} e^{\left(2 \, c\right)} + 3 \, b^{3} d^{3} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(4 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(4 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 27 \, {\left(4 \, a b^{2} d^{3} f^{3} x^{3} e^{c} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{2} x^{2} e^{c} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{2} x e^{c} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} + 4 \, {\left(9 \, b^{3} d^{3} f^{3} x^{3} + 9 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{3} x^{2} + 3 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} x + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{864 \, b^{4} d^{4}} + \int -\frac{2 \, {\left({\left(a^{3} b f^{3} + a b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{3} b e f^{2} + a b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{3} b e^{2} f + a b^{3} e^{2} f\right)} x - {\left({\left(a^{4} f^{3} e^{c} + a^{2} b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{4} e f^{2} e^{c} + a^{2} b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{4} e^{2} f e^{c} + a^{2} b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}"," ",0,"-1/24*e^3*((3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + 3*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) + 24*(a^3 + a*b^2)*(d*x + c)/(b^4*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + 3*b^2)*e^(-d*x - c))/(b^3*d) + 24*(a^3 + a*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d)) - 1/864*(216*(a^3*d^4*f^3*e^(3*c) + a*b^2*d^4*f^3*e^(3*c))*x^4 + 864*(a^3*d^4*e*f^2*e^(3*c) + a*b^2*d^4*e*f^2*e^(3*c))*x^3 + 1296*(a^3*d^4*e^2*f*e^(3*c) + a*b^2*d^4*e^2*f*e^(3*c))*x^2 - 4*(9*b^3*d^3*f^3*x^3*e^(6*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*b^3*x^2*e^(6*c) + 3*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*b^3*x*e^(6*c) - (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*b^3*e^(6*c))*e^(3*d*x) + 27*(4*a*b^2*d^3*f^3*x^3*e^(5*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*a*b^2*x^2*e^(5*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a*b^2*x*e^(5*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a*b^2*e^(5*c))*e^(2*d*x) + 108*(12*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^2*b*e^(4*c) + 9*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b^3*e^(4*c) - (4*a^2*b*d^3*f^3*e^(4*c) + 3*b^3*d^3*f^3*e^(4*c))*x^3 - 3*(4*(d^3*e*f^2 - d^2*f^3)*a^2*b*e^(4*c) + 3*(d^3*e*f^2 - d^2*f^3)*b^3*e^(4*c))*x^2 - 3*(4*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^2*b*e^(4*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b^3*e^(4*c))*x)*e^(d*x) + 108*(12*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^2*b*e^(2*c) + 9*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b^3*e^(2*c) + (4*a^2*b*d^3*f^3*e^(2*c) + 3*b^3*d^3*f^3*e^(2*c))*x^3 + 3*(4*(d^3*e*f^2 + d^2*f^3)*a^2*b*e^(2*c) + 3*(d^3*e*f^2 + d^2*f^3)*b^3*e^(2*c))*x^2 + 3*(4*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^2*b*e^(2*c) + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b^3*e^(2*c))*x)*e^(-d*x) + 27*(4*a*b^2*d^3*f^3*x^3*e^c + 6*(2*d^3*e*f^2 + d^2*f^3)*a*b^2*x^2*e^c + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a*b^2*x*e^c + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a*b^2*e^c)*e^(-2*d*x) + 4*(9*b^3*d^3*f^3*x^3 + 9*(3*d^3*e*f^2 + d^2*f^3)*b^3*x^2 + 3*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*b^3*x + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^4) + integrate(-2*((a^3*b*f^3 + a*b^3*f^3)*x^3 + 3*(a^3*b*e*f^2 + a*b^3*e*f^2)*x^2 + 3*(a^3*b*e^2*f + a*b^3*e^2*f)*x - ((a^4*f^3*e^c + a^2*b^2*f^3*e^c)*x^3 + 3*(a^4*e*f^2*e^c + a^2*b^2*e*f^2*e^c)*x^2 + 3*(a^4*e^2*f*e^c + a^2*b^2*e^2*f*e^c)*x)*e^(d*x))/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x)","F",0
344,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{2} {\left(\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} + \frac{24 \, {\left(a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d} + \frac{24 \, {\left(a^{3} + a b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d}\right)} - \frac{{\left(144 \, {\left(a^{3} d^{3} f^{2} e^{\left(3 \, c\right)} + a b^{2} d^{3} f^{2} e^{\left(3 \, c\right)}\right)} x^{3} + 432 \, {\left(a^{3} d^{3} e f e^{\left(3 \, c\right)} + a b^{2} d^{3} e f e^{\left(3 \, c\right)}\right)} x^{2} - 2 \, {\left(9 \, b^{3} d^{2} f^{2} x^{2} e^{\left(6 \, c\right)} + 6 \, {\left(3 \, d^{2} e f - d f^{2}\right)} b^{3} x e^{\left(6 \, c\right)} - 2 \, {\left(3 \, d e f - f^{2}\right)} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(2 \, a b^{2} d^{2} f^{2} x^{2} e^{\left(5 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a b^{2} x e^{\left(5 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 54 \, {\left(8 \, {\left(d e f - f^{2}\right)} a^{2} b e^{\left(4 \, c\right)} + 6 \, {\left(d e f - f^{2}\right)} b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d^{2} f^{2} e^{\left(4 \, c\right)} + 3 \, b^{3} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} - 2 \, {\left(4 \, {\left(d^{2} e f - d f^{2}\right)} a^{2} b e^{\left(4 \, c\right)} + 3 \, {\left(d^{2} e f - d f^{2}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 54 \, {\left(8 \, {\left(d e f + f^{2}\right)} a^{2} b e^{\left(2 \, c\right)} + 6 \, {\left(d e f + f^{2}\right)} b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d^{2} f^{2} e^{\left(2 \, c\right)} + 3 \, b^{3} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(4 \, {\left(d^{2} e f + d f^{2}\right)} a^{2} b e^{\left(2 \, c\right)} + 3 \, {\left(d^{2} e f + d f^{2}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 27 \, {\left(2 \, a b^{2} d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a b^{2} x e^{c} + {\left(2 \, d e f + f^{2}\right)} a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} + 2 \, {\left(9 \, b^{3} d^{2} f^{2} x^{2} + 6 \, {\left(3 \, d^{2} e f + d f^{2}\right)} b^{3} x + 2 \, {\left(3 \, d e f + f^{2}\right)} b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{432 \, b^{4} d^{3}} + \int -\frac{2 \, {\left({\left(a^{3} b f^{2} + a b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{3} b e f + a b^{3} e f\right)} x - {\left({\left(a^{4} f^{2} e^{c} + a^{2} b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{4} e f e^{c} + a^{2} b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}"," ",0,"-1/24*e^2*((3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + 3*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) + 24*(a^3 + a*b^2)*(d*x + c)/(b^4*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + 3*b^2)*e^(-d*x - c))/(b^3*d) + 24*(a^3 + a*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d)) - 1/432*(144*(a^3*d^3*f^2*e^(3*c) + a*b^2*d^3*f^2*e^(3*c))*x^3 + 432*(a^3*d^3*e*f*e^(3*c) + a*b^2*d^3*e*f*e^(3*c))*x^2 - 2*(9*b^3*d^2*f^2*x^2*e^(6*c) + 6*(3*d^2*e*f - d*f^2)*b^3*x*e^(6*c) - 2*(3*d*e*f - f^2)*b^3*e^(6*c))*e^(3*d*x) + 27*(2*a*b^2*d^2*f^2*x^2*e^(5*c) + 2*(2*d^2*e*f - d*f^2)*a*b^2*x*e^(5*c) - (2*d*e*f - f^2)*a*b^2*e^(5*c))*e^(2*d*x) + 54*(8*(d*e*f - f^2)*a^2*b*e^(4*c) + 6*(d*e*f - f^2)*b^3*e^(4*c) - (4*a^2*b*d^2*f^2*e^(4*c) + 3*b^3*d^2*f^2*e^(4*c))*x^2 - 2*(4*(d^2*e*f - d*f^2)*a^2*b*e^(4*c) + 3*(d^2*e*f - d*f^2)*b^3*e^(4*c))*x)*e^(d*x) + 54*(8*(d*e*f + f^2)*a^2*b*e^(2*c) + 6*(d*e*f + f^2)*b^3*e^(2*c) + (4*a^2*b*d^2*f^2*e^(2*c) + 3*b^3*d^2*f^2*e^(2*c))*x^2 + 2*(4*(d^2*e*f + d*f^2)*a^2*b*e^(2*c) + 3*(d^2*e*f + d*f^2)*b^3*e^(2*c))*x)*e^(-d*x) + 27*(2*a*b^2*d^2*f^2*x^2*e^c + 2*(2*d^2*e*f + d*f^2)*a*b^2*x*e^c + (2*d*e*f + f^2)*a*b^2*e^c)*e^(-2*d*x) + 2*(9*b^3*d^2*f^2*x^2 + 6*(3*d^2*e*f + d*f^2)*b^3*x + 2*(3*d*e*f + f^2)*b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^3) + integrate(-2*((a^3*b*f^2 + a*b^3*f^2)*x^2 + 2*(a^3*b*e*f + a*b^3*e*f)*x - ((a^4*f^2*e^c + a^2*b^2*f^2*e^c)*x^2 + 2*(a^4*e*f*e^c + a^2*b^2*e*f*e^c)*x)*e^(d*x))/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x)","F",0
345,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e {\left(\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} + \frac{24 \, {\left(a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d} + \frac{24 \, {\left(a^{3} + a b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d}\right)} - \frac{1}{144} \, f {\left(\frac{{\left(72 \, {\left(a^{3} d^{2} e^{\left(3 \, c\right)} + a b^{2} d^{2} e^{\left(3 \, c\right)}\right)} x^{2} - 2 \, {\left(3 \, b^{3} d x e^{\left(6 \, c\right)} - b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 9 \, {\left(2 \, a b^{2} d x e^{\left(5 \, c\right)} - a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 18 \, {\left(4 \, a^{2} b e^{\left(4 \, c\right)} + 3 \, b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d e^{\left(4 \, c\right)} + 3 \, b^{3} d e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 18 \, {\left(4 \, a^{2} b e^{\left(2 \, c\right)} + 3 \, b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d e^{\left(2 \, c\right)} + 3 \, b^{3} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 9 \, {\left(2 \, a b^{2} d x e^{c} + a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} + 2 \, {\left(3 \, b^{3} d x + b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{b^{4} d^{2}} - 9 \, \int \frac{32 \, {\left({\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{3} b + a b^{3}\right)} x\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}\right)}"," ",0,"-1/24*e*((3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + 3*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) + 24*(a^3 + a*b^2)*(d*x + c)/(b^4*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + 3*b^2)*e^(-d*x - c))/(b^3*d) + 24*(a^3 + a*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d)) - 1/144*f*((72*(a^3*d^2*e^(3*c) + a*b^2*d^2*e^(3*c))*x^2 - 2*(3*b^3*d*x*e^(6*c) - b^3*e^(6*c))*e^(3*d*x) + 9*(2*a*b^2*d*x*e^(5*c) - a*b^2*e^(5*c))*e^(2*d*x) + 18*(4*a^2*b*e^(4*c) + 3*b^3*e^(4*c) - (4*a^2*b*d*e^(4*c) + 3*b^3*d*e^(4*c))*x)*e^(d*x) + 18*(4*a^2*b*e^(2*c) + 3*b^3*e^(2*c) + (4*a^2*b*d*e^(2*c) + 3*b^3*d*e^(2*c))*x)*e^(-d*x) + 9*(2*a*b^2*d*x*e^c + a*b^2*e^c)*e^(-2*d*x) + 2*(3*b^3*d*x + b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^2) - 9*integrate(32*((a^4*e^c + a^2*b^2*e^c)*x*e^(d*x) - (a^3*b + a*b^3)*x)/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x))","F",0
346,1,183,0,0.328559," ","integrate(cosh(d*x+c)^3*sinh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{24 \, b^{3} d} - \frac{{\left(a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} - \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-d x - c\right)}}{24 \, b^{3} d} - \frac{{\left(a^{3} + a b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d}"," ",0,"-1/24*(3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + 3*b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) - (a^3 + a*b^2)*(d*x + c)/(b^4*d) - 1/24*(3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + 3*b^2)*e^(-d*x - c))/(b^3*d) - (a^3 + a*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d)","B",0
347,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3*sinh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-3 \, c + \frac{3 \, d e}{f}\right)} E_{1}\left(\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b f} - \frac{a e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{2} f} + \frac{a e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{2} f} - \frac{e^{\left(3 \, c - \frac{3 \, d e}{f}\right)} E_{1}\left(-\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b f} - \frac{{\left(4 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{{\left(4 \, a^{2} e^{c} + 3 \, b^{2} e^{c}\right)} e^{\left(-\frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{{\left(a^{3} + a b^{2}\right)} \log\left(f x + e\right)}{b^{4} f} + \frac{1}{16} \, \int \frac{32 \, {\left(a^{3} b + a b^{3} - {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{5} f x + b^{5} e - {\left(b^{5} f x e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{4} f x e^{c} + a b^{4} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-1/8*e^(-3*c + 3*d*e/f)*exp_integral_e(1, 3*(f*x + e)*d/f)/(b*f) - 1/4*a*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b^2*f) + 1/4*a*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b^2*f) - 1/8*e^(3*c - 3*d*e/f)*exp_integral_e(1, -3*(f*x + e)*d/f)/(b*f) - 1/8*(4*a^2 + 3*b^2)*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^3*f) - 1/8*(4*a^2*e^c + 3*b^2*e^c)*e^(-d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^3*f) - (a^3 + a*b^2)*log(f*x + e)/(b^4*f) + 1/16*integrate(32*(a^3*b + a*b^3 - (a^4*e^c + a^2*b^2*e^c)*e^(d*x))/(b^5*f*x + b^5*e - (b^5*f*x*e^(2*c) + b^5*e*e^(2*c))*e^(2*d*x) - 2*(a*b^4*f*x*e^c + a*b^4*e*e^c)*e^(d*x)), x)","F",0
348,0,0,0,0.000000," ","integrate((f*x+e)^3*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}\right)} + \int \frac{2 \, f^{3} x^{3} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}} + \frac{6 \, e f^{2} x^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}} + \frac{6 \, e^{2} f x {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e^3*(2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)) + integrate(2*f^3*x^3*(e^(d*x + c) - e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))) + 6*e*f^2*x^2*(e^(d*x + c) - e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))) + 6*e^2*f*x*(e^(d*x + c) - e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))), x)","F",0
349,0,0,0,0.000000," ","integrate((f*x+e)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}\right)} + \int \frac{2 \, f^{2} x^{2} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}} + \frac{4 \, e f x {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e^2*(2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)) + integrate(2*f^2*x^2*(e^(d*x + c) - e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))) + 4*e*f*x*(e^(d*x + c) - e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))), x)","F",0
350,0,0,0,0.000000," ","integrate((f*x+e)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e {\left(\frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}\right)} + f \int \frac{2 \, x {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e*(2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)) + f*integrate(2*x*(e^(d*x + c) - e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))), x)","F",0
351,1,95,0,0.422463," ","integrate(tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d}"," ",0,"-2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - a*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2 + b^2)*d) + a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d)","A",0
352,0,0,0,0.000000," ","integrate(tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{\tanh\left(d x + c\right)}{{\left(f x + e\right)} {\left(b \sinh\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(tanh(d*x + c)/((f*x + e)*(b*sinh(d*x + c) + a)), x)","F",0
353,0,0,0,0.000000," ","integrate((f*x+e)^3*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","3 \, b e^{2} f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} + 6 \, a f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 6 \, b f^{3} \int \frac{x^{2}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 12 \, a e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 12 \, b e f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - e^{3} {\left(\frac{a b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)} + \frac{6 \, a e^{2} f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{2 \, {\left(b f^{3} x^{3} + 3 \, b e f^{2} x^{2} + 3 \, b e^{2} f x + {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \int -\frac{2 \, {\left(a b f^{3} x^{3} e^{c} + 3 \, a b e f^{2} x^{2} e^{c} + 3 \, a b e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"3*b*e^2*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) + 6*a*f^3*integrate(x^2*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 6*b*f^3*integrate(x^2/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 12*a*e*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 12*b*e*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - e^3*(a*b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)) + 6*a*e^2*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - 2*(b*f^3*x^3 + 3*b*e*f^2*x^2 + 3*b*e^2*f*x + (a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - integrate(-2*(a*b*f^3*x^3*e^c + 3*a*b*e*f^2*x^2*e^c + 3*a*b*e^2*f*x*e^c)*e^(d*x)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x)","F",0
354,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, b e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} + 4 \, a f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 4 \, b f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - e^{2} {\left(\frac{a b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)} + \frac{4 \, a e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{2 \, {\left(b f^{2} x^{2} + 2 \, b e f x + {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \int -\frac{2 \, {\left(a b f^{2} x^{2} e^{c} + 2 \, a b e f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"2*b*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) + 4*a*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 4*b*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - e^2*(a*b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)) + 4*a*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - 2*(b*f^2*x^2 + 2*b*e*f*x + (a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - integrate(-2*(a*b*f^2*x^2*e^c + 2*a*b*e*f*x*e^c)*e^(d*x)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x)","F",0
355,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(2 \, a b \int -\frac{x e^{\left(d x + c\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{2 \, {\left(a x e^{\left(d x + c\right)} + b x\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \frac{2 \, b x}{{\left(a^{2} + b^{2}\right)} d} - \frac{2 \, a \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{b \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} f - e {\left(\frac{a b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} + \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)}"," ",0,"-(2*a*b*integrate(-x*e^(d*x + c)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x) + 2*(a*x*e^(d*x + c) + b*x)/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - 2*b*x/((a^2 + b^2)*d) - 2*a*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + b*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2))*f - e*(a*b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) + 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d))","F",0
356,1,117,0,0.410294," ","integrate(sech(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a b \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"-a*b*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)","A",0
357,0,0,0,0.000000," ","integrate(sech(d*x+c)*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, a b \int -\frac{e^{\left(d x + c\right)}}{a^{2} b e + b^{3} e + {\left(a^{2} b f + b^{3} f\right)} x - {\left(a^{2} b e e^{\left(2 \, c\right)} + b^{3} e e^{\left(2 \, c\right)} + {\left(a^{2} b f e^{\left(2 \, c\right)} + b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e e^{c} + a b^{2} e e^{c} + {\left(a^{3} f e^{c} + a b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x} - \frac{2 \, {\left(a e^{\left(d x + c\right)} + b\right)}}{a^{2} d e + b^{2} d e + {\left(a^{2} d f + b^{2} d f\right)} x + {\left(a^{2} d e e^{\left(2 \, c\right)} + b^{2} d e e^{\left(2 \, c\right)} + {\left(a^{2} d f e^{\left(2 \, c\right)} + b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} - 2 \, \int \frac{a f e^{\left(d x + c\right)} + b f}{a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-2*a*b*integrate(-e^(d*x + c)/(a^2*b*e + b^3*e + (a^2*b*f + b^3*f)*x - (a^2*b*e*e^(2*c) + b^3*e*e^(2*c) + (a^2*b*f*e^(2*c) + b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^3*e*e^c + a*b^2*e*e^c + (a^3*f*e^c + a*b^2*f*e^c)*x)*e^(d*x)), x) - 2*(a*e^(d*x + c) + b)/(a^2*d*e + b^2*d*e + (a^2*d*f + b^2*d*f)*x + (a^2*d*e*e^(2*c) + b^2*d*e*e^(2*c) + (a^2*d*f*e^(2*c) + b^2*d*f*e^(2*c))*x)*e^(2*d*x)) - 2*integrate((a*f*e^(d*x + c) + b*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
358,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-a^{2} b d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + b^{3} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 2 \, a b^{2} d^{2} f^{2} \int \frac{x^{2}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 2 \, a^{2} b d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, b^{3} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 4 \, a b^{2} d^{2} e f \int \frac{x}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + a^{3} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} + a b^{2} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - {\left(\frac{a b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a b^{2} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{2} b - b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e^{2} - \frac{2 \, a^{2} b f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{2 \, b^{3} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{2 \, a f^{2} x + 2 \, a e f - {\left(b d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, b e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} b x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(a d f^{2} x^{2} e^{\left(2 \, c\right)} + a e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(b d f^{2} x^{2} e^{c} - 2 \, b e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} b x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int \frac{2 \, {\left(a b^{3} f^{2} x^{2} + 2 \, a b^{3} e f x - {\left(a^{2} b^{2} f^{2} x^{2} e^{c} + 2 \, a^{2} b^{2} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-a^2*b*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + b^3*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 2*a*b^2*d^2*f^2*integrate(x^2/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 2*a^2*b*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*b^3*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 4*a*b^2*d^2*e*f*integrate(x/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + a^3*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) + a*b^2*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) - (a*b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a*b^2*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^2*b - b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e^2 - 2*a^2*b*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) - 2*b^3*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) - (2*a*f^2*x + 2*a*e*f - (b*d*f^2*x^2*e^(3*c) + 2*b*e*f*e^(3*c) + 2*(d*e*f + f^2)*b*x*e^(3*c))*e^(3*d*x) + 2*(a*d*f^2*x^2*e^(2*c) + a*e*f*e^(2*c) + (2*d*e*f + f^2)*a*x*e^(2*c))*e^(2*d*x) + (b*d*f^2*x^2*e^c - 2*b*e*f*e^c + 2*(d*e*f - f^2)*b*x*e^c)*e^(d*x))/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) + integrate(2*(a*b^3*f^2*x^2 + 2*a*b^3*e*f*x - (a^2*b^2*f^2*x^2*e^c + 2*a^2*b^2*e*f*x*e^c)*e^(d*x))/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x)","F",0
359,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{a b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a b^{2} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{2} b - b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e + f {\left(\frac{{\left(b d x e^{\left(3 \, c\right)} + b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d x e^{\left(2 \, c\right)} + a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d x e^{c} - b e^{c}\right)} e^{\left(d x\right)} - a}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + 4 \, \int -\frac{a^{2} b^{2} x e^{\left(d x + c\right)} - a b^{3} x}{2 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 4 \, \int \frac{2 \, a b^{2} x + {\left(a^{2} b e^{c} - b^{3} e^{c}\right)} x e^{\left(d x\right)}}{4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)}"," ",0,"-(a*b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a*b^2*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^2*b - b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e + f*(((b*d*x*e^(3*c) + b*e^(3*c))*e^(3*d*x) - (2*a*d*x*e^(2*c) + a*e^(2*c))*e^(2*d*x) - (b*d*x*e^c - b*e^c)*e^(d*x) - a)/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) + 4*integrate(-1/2*(a^2*b^2*x*e^(d*x + c) - a*b^3*x)/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) - 4*integrate(1/4*(2*a*b^2*x + (a^2*b*e^c - b^3*e^c)*x*e^(d*x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x))","F",0
360,1,218,0,0.408434," ","integrate(sech(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{a b^{2} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(a^{2} b - b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}"," ",0,"-a*b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) + a*b^2*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) + (a^2*b - b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d)","A",0
361,0,0,0,0.000000," ","integrate(sech(d*x+c)^2*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a f + {\left(b d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d f x e^{c} + {\left(d e + f\right)} b e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{2} + b^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + b^{2} d^{2} e f\right)} x + {\left(a^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(4 \, c\right)} + b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(2 \, c\right)} + b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} - 4 \, \int \frac{2 \, a b^{2} d^{2} f^{2} x^{2} + 4 \, a b^{2} d^{2} e f x - 2 \, a^{3} f^{2} + 2 \, {\left(d^{2} e^{2} - f^{2}\right)} a b^{2} + {\left({\left(d^{2} e^{2} + 2 \, f^{2}\right)} a^{2} b e^{c} - {\left(d^{2} e^{2} - 2 \, f^{2}\right)} b^{3} e^{c} + {\left(a^{2} b d^{2} f^{2} e^{c} - b^{3} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} b d^{2} e f e^{c} - b^{3} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{4 \, {\left(a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} + 4 \, \int -\frac{a^{2} b^{2} e^{\left(d x + c\right)} - a b^{3}}{2 \, {\left(a^{4} b e + 2 \, a^{2} b^{3} e + b^{5} e + {\left(a^{4} b f + 2 \, a^{2} b^{3} f + b^{5} f\right)} x - {\left(a^{4} b e e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)} + {\left(a^{4} b f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} f e^{\left(2 \, c\right)} + b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e e^{c} + 2 \, a^{3} b^{2} e e^{c} + a b^{4} e e^{c} + {\left(a^{5} f e^{c} + 2 \, a^{3} b^{2} f e^{c} + a b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"(a*f + (b*d*f*x*e^(3*c) + (d*e - f)*b*e^(3*c))*e^(3*d*x) - (2*a*d*f*x*e^(2*c) + (2*d*e - f)*a*e^(2*c))*e^(2*d*x) - (b*d*f*x*e^c + (d*e + f)*b*e^c)*e^(d*x))/(a^2*d^2*e^2 + b^2*d^2*e^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + b^2*d^2*e*f)*x + (a^2*d^2*e^2*e^(4*c) + b^2*d^2*e^2*e^(4*c) + (a^2*d^2*f^2*e^(4*c) + b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^2*d^2*e*f*e^(4*c) + b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + 2*(a^2*d^2*e^2*e^(2*c) + b^2*d^2*e^2*e^(2*c) + (a^2*d^2*f^2*e^(2*c) + b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^2*d^2*e*f*e^(2*c) + b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) - 4*integrate(1/4*(2*a*b^2*d^2*f^2*x^2 + 4*a*b^2*d^2*e*f*x - 2*a^3*f^2 + 2*(d^2*e^2 - f^2)*a*b^2 + ((d^2*e^2 + 2*f^2)*a^2*b*e^c - (d^2*e^2 - 2*f^2)*b^3*e^c + (a^2*b*d^2*f^2*e^c - b^3*d^2*f^2*e^c)*x^2 + 2*(a^2*b*d^2*e*f*e^c - b^3*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x) + 4*integrate(-1/2*(a^2*b^2*e^(d*x + c) - a*b^3)/(a^4*b*e + 2*a^2*b^3*e + b^5*e + (a^4*b*f + 2*a^2*b^3*f + b^5*f)*x - (a^4*b*e*e^(2*c) + 2*a^2*b^3*e*e^(2*c) + b^5*e*e^(2*c) + (a^4*b*f*e^(2*c) + 2*a^2*b^3*f*e^(2*c) + b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*e*e^c + 2*a^3*b^2*e*e^c + a*b^4*e*e^c + (a^5*f*e^c + 2*a^3*b^2*f*e^c + a*b^4*f*e^c)*x)*e^(d*x)), x)","F",0
362,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{8} \, e^{3} {\left(\frac{8 \, {\left(d x + c\right)} a^{2}}{b^{3} d} - \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} + \frac{8 \, a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{{\left(8 \, a^{2} d^{4} f^{3} x^{4} e^{\left(2 \, c\right)} + 32 \, a^{2} d^{4} e f^{2} x^{3} e^{\left(2 \, c\right)} + 48 \, a^{2} d^{4} e^{2} f x^{2} e^{\left(2 \, c\right)} + {\left(4 \, b^{2} d^{3} f^{3} x^{3} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{2} x^{2} e^{\left(4 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x e^{\left(4 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 16 \, {\left(a b d^{3} f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{\left(3 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} + 16 \, {\left(a b d^{3} f^{3} x^{3} e^{c} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b x^{2} e^{c} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b x e^{c} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b e^{c}\right)} e^{\left(-d x\right)} + {\left(4 \, b^{2} d^{3} f^{3} x^{3} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{2} x^{2} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{2} x + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{32 \, b^{3} d^{4}} - \int -\frac{2 \, {\left(a^{2} b f^{3} x^{3} + 3 \, a^{2} b e f^{2} x^{2} + 3 \, a^{2} b e^{2} f x - {\left(a^{3} f^{3} x^{3} e^{c} + 3 \, a^{3} e f^{2} x^{2} e^{c} + 3 \, a^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"1/8*e^3*(8*(d*x + c)*a^2/(b^3*d) - (4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 8*a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/32*(8*a^2*d^4*f^3*x^4*e^(2*c) + 32*a^2*d^4*e*f^2*x^3*e^(2*c) + 48*a^2*d^4*e^2*f*x^2*e^(2*c) + (4*b^2*d^3*f^3*x^3*e^(4*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*b^2*x^2*e^(4*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*b^2*x*e^(4*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*b^2*e^(4*c))*e^(2*d*x) - 16*(a*b*d^3*f^3*x^3*e^(3*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*b*x^2*e^(3*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^(3*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b*e^(3*c))*e^(d*x) + 16*(a*b*d^3*f^3*x^3*e^c + 3*(d^3*e*f^2 + d^2*f^3)*a*b*x^2*e^c + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b*x*e^c + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b*e^c)*e^(-d*x) + (4*b^2*d^3*f^3*x^3 + 6*(2*d^3*e*f^2 + d^2*f^3)*b^2*x^2 + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*b^2*x + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^4) - integrate(-2*(a^2*b*f^3*x^3 + 3*a^2*b*e*f^2*x^2 + 3*a^2*b*e^2*f*x - (a^3*f^3*x^3*e^c + 3*a^3*e*f^2*x^2*e^c + 3*a^3*e^2*f*x*e^c)*e^(d*x))/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
363,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{8} \, e^{2} {\left(\frac{8 \, {\left(d x + c\right)} a^{2}}{b^{3} d} - \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} + \frac{8 \, a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{{\left(16 \, a^{2} d^{3} f^{2} x^{3} e^{\left(2 \, c\right)} + 48 \, a^{2} d^{3} e f x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} b^{2} x e^{\left(4 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 24 \, {\left(a b d^{2} f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} a b x e^{\left(3 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} + 24 \, {\left(a b d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(d^{2} e f + d f^{2}\right)} a b x e^{c} + 2 \, {\left(d e f + f^{2}\right)} a b e^{c}\right)} e^{\left(-d x\right)} + 3 \, {\left(2 \, b^{2} d^{2} f^{2} x^{2} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} b^{2} x + {\left(2 \, d e f + f^{2}\right)} b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{48 \, b^{3} d^{3}} - \int -\frac{2 \, {\left(a^{2} b f^{2} x^{2} + 2 \, a^{2} b e f x - {\left(a^{3} f^{2} x^{2} e^{c} + 2 \, a^{3} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}"," ",0,"1/8*e^2*(8*(d*x + c)*a^2/(b^3*d) - (4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 8*a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/48*(16*a^2*d^3*f^2*x^3*e^(2*c) + 48*a^2*d^3*e*f*x^2*e^(2*c) + 3*(2*b^2*d^2*f^2*x^2*e^(4*c) + 2*(2*d^2*e*f - d*f^2)*b^2*x*e^(4*c) - (2*d*e*f - f^2)*b^2*e^(4*c))*e^(2*d*x) - 24*(a*b*d^2*f^2*x^2*e^(3*c) + 2*(d^2*e*f - d*f^2)*a*b*x*e^(3*c) - 2*(d*e*f - f^2)*a*b*e^(3*c))*e^(d*x) + 24*(a*b*d^2*f^2*x^2*e^c + 2*(d^2*e*f + d*f^2)*a*b*x*e^c + 2*(d*e*f + f^2)*a*b*e^c)*e^(-d*x) + 3*(2*b^2*d^2*f^2*x^2 + 2*(2*d^2*e*f + d*f^2)*b^2*x + (2*d*e*f + f^2)*b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^3) - integrate(-2*(a^2*b*f^2*x^2 + 2*a^2*b*e*f*x - (a^3*f^2*x^2*e^c + 2*a^3*e*f*x*e^c)*e^(d*x))/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x)","F",0
364,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{8} \, e {\left(\frac{8 \, {\left(d x + c\right)} a^{2}}{b^{3} d} - \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{b^{2} d} + \frac{8 \, a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{b^{2} d}\right)} + \frac{1}{16} \, f {\left(\frac{{\left(8 \, a^{2} d^{2} x^{2} e^{\left(2 \, c\right)} + {\left(2 \, b^{2} d x e^{\left(4 \, c\right)} - b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 8 \, {\left(a b d x e^{\left(3 \, c\right)} - a b e^{\left(3 \, c\right)}\right)} e^{\left(d x\right)} + 8 \, {\left(a b d x e^{c} + a b e^{c}\right)} e^{\left(-d x\right)} + {\left(2 \, b^{2} d x + b^{2}\right)} e^{\left(-2 \, d x\right)}\right)} e^{\left(-2 \, c\right)}}{b^{3} d^{2}} - 2 \, \int \frac{16 \, {\left(a^{3} x e^{\left(d x + c\right)} - a^{2} b x\right)}}{b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{3} e^{\left(d x + c\right)} - b^{4}}\,{d x}\right)}"," ",0,"1/8*e*(8*(d*x + c)*a^2/(b^3*d) - (4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + 8*a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d) + (4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)) + 1/16*f*((8*a^2*d^2*x^2*e^(2*c) + (2*b^2*d*x*e^(4*c) - b^2*e^(4*c))*e^(2*d*x) - 8*(a*b*d*x*e^(3*c) - a*b*e^(3*c))*e^(d*x) + 8*(a*b*d*x*e^c + a*b*e^c)*e^(-d*x) + (2*b^2*d*x + b^2)*e^(-2*d*x))*e^(-2*c)/(b^3*d^2) - 2*integrate(16*(a^3*x*e^(d*x + c) - a^2*b*x)/(b^4*e^(2*d*x + 2*c) + 2*a*b^3*e^(d*x + c) - b^4), x))","F",0
365,1,119,0,0.329131," ","integrate(cosh(d*x+c)*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} a^{2}}{b^{3} d} - \frac{{\left(4 \, a e^{\left(-d x - c\right)} - b\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, b^{2} d} + \frac{a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{3} d} + \frac{4 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, b^{2} d}"," ",0,"(d*x + c)*a^2/(b^3*d) - 1/8*(4*a*e^(-d*x - c) - b)*e^(2*d*x + 2*c)/(b^2*d) + a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^3*d) + 1/8*(4*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c))/(b^2*d)","B",0
366,0,0,0,0.000000," ","integrate(cosh(d*x+c)*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} + \frac{a e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} + \frac{a e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b^{2} f} - \frac{e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b f} + \frac{a^{2} \log\left(f x + e\right)}{b^{3} f} - \frac{1}{8} \, \int -\frac{16 \, {\left(a^{3} e^{\left(d x + c\right)} - a^{2} b\right)}}{b^{4} f x + b^{4} e - {\left(b^{4} f x e^{\left(2 \, c\right)} + b^{4} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{3} f x e^{c} + a b^{3} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"1/4*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b*f) + 1/2*a*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^2*f) + 1/2*a*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^2*f) - 1/4*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b*f) + a^2*log(f*x + e)/(b^3*f) - 1/8*integrate(-16*(a^3*e^(d*x + c) - a^2*b)/(b^4*f*x + b^4*e - (b^4*f*x*e^(2*c) + b^4*e*e^(2*c))*e^(2*d*x) - 2*(a*b^3*f*x*e^c + a*b^3*e*e^c)*e^(d*x)), x)","F",0
367,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{24} \, e^{3} {\left(\frac{24 \, \sqrt{a^{2} + b^{2}} a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{4} d} - \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} - \frac{12 \, {\left(2 \, a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d}\right)} - \frac{{\left(108 \, {\left(2 \, a^{3} d^{4} f^{3} e^{\left(3 \, c\right)} + a b^{2} d^{4} f^{3} e^{\left(3 \, c\right)}\right)} x^{4} + 432 \, {\left(2 \, a^{3} d^{4} e f^{2} e^{\left(3 \, c\right)} + a b^{2} d^{4} e f^{2} e^{\left(3 \, c\right)}\right)} x^{3} + 648 \, {\left(2 \, a^{3} d^{4} e^{2} f e^{\left(3 \, c\right)} + a b^{2} d^{4} e^{2} f e^{\left(3 \, c\right)}\right)} x^{2} - 4 \, {\left(9 \, b^{3} d^{3} f^{3} x^{3} e^{\left(6 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{3} x^{2} e^{\left(6 \, c\right)} + 3 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} x e^{\left(6 \, c\right)} - {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(4 \, a b^{2} d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{2} x^{2} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{2} x e^{\left(5 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 108 \, {\left(12 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} + 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d^{3} f^{3} e^{\left(4 \, c\right)} + b^{3} d^{3} f^{3} e^{\left(4 \, c\right)}\right)} x^{3} - 3 \, {\left(4 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} + {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x^{2} - 3 \, {\left(4 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} + {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - 108 \, {\left(12 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d^{3} f^{3} e^{\left(2 \, c\right)} + b^{3} d^{3} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(4 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} + {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(4 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} + {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} - 27 \, {\left(4 \, a b^{2} d^{3} f^{3} x^{3} e^{c} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{2} x^{2} e^{c} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{2} x e^{c} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} - 4 \, {\left(9 \, b^{3} d^{3} f^{3} x^{3} + 9 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{3} x^{2} + 3 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} x + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{864 \, b^{4} d^{4}} + \int \frac{2 \, {\left({\left(a^{4} f^{3} e^{c} + a^{2} b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{4} e f^{2} e^{c} + a^{2} b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{4} e^{2} f e^{c} + a^{2} b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}"," ",0,"1/24*e^3*(24*sqrt(a^2 + b^2)*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^4*d) - (3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) - 12*(2*a^3 + a*b^2)*(d*x + c)/(b^4*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + b^2)*e^(-d*x - c))/(b^3*d)) - 1/864*(108*(2*a^3*d^4*f^3*e^(3*c) + a*b^2*d^4*f^3*e^(3*c))*x^4 + 432*(2*a^3*d^4*e*f^2*e^(3*c) + a*b^2*d^4*e*f^2*e^(3*c))*x^3 + 648*(2*a^3*d^4*e^2*f*e^(3*c) + a*b^2*d^4*e^2*f*e^(3*c))*x^2 - 4*(9*b^3*d^3*f^3*x^3*e^(6*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*b^3*x^2*e^(6*c) + 3*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*b^3*x*e^(6*c) - (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*b^3*e^(6*c))*e^(3*d*x) + 27*(4*a*b^2*d^3*f^3*x^3*e^(5*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*a*b^2*x^2*e^(5*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a*b^2*x*e^(5*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a*b^2*e^(5*c))*e^(2*d*x) + 108*(12*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^2*b*e^(4*c) + 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b^3*e^(4*c) - (4*a^2*b*d^3*f^3*e^(4*c) + b^3*d^3*f^3*e^(4*c))*x^3 - 3*(4*(d^3*e*f^2 - d^2*f^3)*a^2*b*e^(4*c) + (d^3*e*f^2 - d^2*f^3)*b^3*e^(4*c))*x^2 - 3*(4*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^2*b*e^(4*c) + (d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b^3*e^(4*c))*x)*e^(d*x) - 108*(12*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^2*b*e^(2*c) + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b^3*e^(2*c) + (4*a^2*b*d^3*f^3*e^(2*c) + b^3*d^3*f^3*e^(2*c))*x^3 + 3*(4*(d^3*e*f^2 + d^2*f^3)*a^2*b*e^(2*c) + (d^3*e*f^2 + d^2*f^3)*b^3*e^(2*c))*x^2 + 3*(4*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^2*b*e^(2*c) + (d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b^3*e^(2*c))*x)*e^(-d*x) - 27*(4*a*b^2*d^3*f^3*x^3*e^c + 6*(2*d^3*e*f^2 + d^2*f^3)*a*b^2*x^2*e^c + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a*b^2*x*e^c + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a*b^2*e^c)*e^(-2*d*x) - 4*(9*b^3*d^3*f^3*x^3 + 9*(3*d^3*e*f^2 + d^2*f^3)*b^3*x^2 + 3*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*b^3*x + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^4) + integrate(2*((a^4*f^3*e^c + a^2*b^2*f^3*e^c)*x^3 + 3*(a^4*e*f^2*e^c + a^2*b^2*e*f^2*e^c)*x^2 + 3*(a^4*e^2*f*e^c + a^2*b^2*e^2*f*e^c)*x)*e^(d*x)/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x)","F",0
368,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{24} \, e^{2} {\left(\frac{24 \, \sqrt{a^{2} + b^{2}} a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{4} d} - \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} - \frac{12 \, {\left(2 \, a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d}\right)} - \frac{{\left(72 \, {\left(2 \, a^{3} d^{3} f^{2} e^{\left(3 \, c\right)} + a b^{2} d^{3} f^{2} e^{\left(3 \, c\right)}\right)} x^{3} + 216 \, {\left(2 \, a^{3} d^{3} e f e^{\left(3 \, c\right)} + a b^{2} d^{3} e f e^{\left(3 \, c\right)}\right)} x^{2} - 2 \, {\left(9 \, b^{3} d^{2} f^{2} x^{2} e^{\left(6 \, c\right)} + 6 \, {\left(3 \, d^{2} e f - d f^{2}\right)} b^{3} x e^{\left(6 \, c\right)} - 2 \, {\left(3 \, d e f - f^{2}\right)} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(2 \, a b^{2} d^{2} f^{2} x^{2} e^{\left(5 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a b^{2} x e^{\left(5 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 54 \, {\left(8 \, {\left(d e f - f^{2}\right)} a^{2} b e^{\left(4 \, c\right)} + 2 \, {\left(d e f - f^{2}\right)} b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d^{2} f^{2} e^{\left(4 \, c\right)} + b^{3} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} - 2 \, {\left(4 \, {\left(d^{2} e f - d f^{2}\right)} a^{2} b e^{\left(4 \, c\right)} + {\left(d^{2} e f - d f^{2}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - 54 \, {\left(8 \, {\left(d e f + f^{2}\right)} a^{2} b e^{\left(2 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d^{2} f^{2} e^{\left(2 \, c\right)} + b^{3} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(4 \, {\left(d^{2} e f + d f^{2}\right)} a^{2} b e^{\left(2 \, c\right)} + {\left(d^{2} e f + d f^{2}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} - 27 \, {\left(2 \, a b^{2} d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a b^{2} x e^{c} + {\left(2 \, d e f + f^{2}\right)} a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} - 2 \, {\left(9 \, b^{3} d^{2} f^{2} x^{2} + 6 \, {\left(3 \, d^{2} e f + d f^{2}\right)} b^{3} x + 2 \, {\left(3 \, d e f + f^{2}\right)} b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{432 \, b^{4} d^{3}} + \int \frac{2 \, {\left({\left(a^{4} f^{2} e^{c} + a^{2} b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{4} e f e^{c} + a^{2} b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}"," ",0,"1/24*e^2*(24*sqrt(a^2 + b^2)*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^4*d) - (3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) - 12*(2*a^3 + a*b^2)*(d*x + c)/(b^4*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + b^2)*e^(-d*x - c))/(b^3*d)) - 1/432*(72*(2*a^3*d^3*f^2*e^(3*c) + a*b^2*d^3*f^2*e^(3*c))*x^3 + 216*(2*a^3*d^3*e*f*e^(3*c) + a*b^2*d^3*e*f*e^(3*c))*x^2 - 2*(9*b^3*d^2*f^2*x^2*e^(6*c) + 6*(3*d^2*e*f - d*f^2)*b^3*x*e^(6*c) - 2*(3*d*e*f - f^2)*b^3*e^(6*c))*e^(3*d*x) + 27*(2*a*b^2*d^2*f^2*x^2*e^(5*c) + 2*(2*d^2*e*f - d*f^2)*a*b^2*x*e^(5*c) - (2*d*e*f - f^2)*a*b^2*e^(5*c))*e^(2*d*x) + 54*(8*(d*e*f - f^2)*a^2*b*e^(4*c) + 2*(d*e*f - f^2)*b^3*e^(4*c) - (4*a^2*b*d^2*f^2*e^(4*c) + b^3*d^2*f^2*e^(4*c))*x^2 - 2*(4*(d^2*e*f - d*f^2)*a^2*b*e^(4*c) + (d^2*e*f - d*f^2)*b^3*e^(4*c))*x)*e^(d*x) - 54*(8*(d*e*f + f^2)*a^2*b*e^(2*c) + 2*(d*e*f + f^2)*b^3*e^(2*c) + (4*a^2*b*d^2*f^2*e^(2*c) + b^3*d^2*f^2*e^(2*c))*x^2 + 2*(4*(d^2*e*f + d*f^2)*a^2*b*e^(2*c) + (d^2*e*f + d*f^2)*b^3*e^(2*c))*x)*e^(-d*x) - 27*(2*a*b^2*d^2*f^2*x^2*e^c + 2*(2*d^2*e*f + d*f^2)*a*b^2*x*e^c + (2*d*e*f + f^2)*a*b^2*e^c)*e^(-2*d*x) - 2*(9*b^3*d^2*f^2*x^2 + 6*(3*d^2*e*f + d*f^2)*b^3*x + 2*(3*d*e*f + f^2)*b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^3) + integrate(2*((a^4*f^2*e^c + a^2*b^2*f^2*e^c)*x^2 + 2*(a^4*e*f*e^c + a^2*b^2*e*f*e^c)*x)*e^(d*x)/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x)","F",0
369,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{144} \, {\left(288 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x} - \frac{{\left(36 \, {\left(2 \, a^{3} d^{2} e^{\left(3 \, c\right)} + a b^{2} d^{2} e^{\left(3 \, c\right)}\right)} x^{2} - 2 \, {\left(3 \, b^{3} d x e^{\left(6 \, c\right)} - b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 9 \, {\left(2 \, a b^{2} d x e^{\left(5 \, c\right)} - a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 18 \, {\left(4 \, a^{2} b e^{\left(4 \, c\right)} + b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d e^{\left(4 \, c\right)} + b^{3} d e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - 18 \, {\left(4 \, a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d e^{\left(2 \, c\right)} + b^{3} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} - 9 \, {\left(2 \, a b^{2} d x e^{c} + a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} - 2 \, {\left(3 \, b^{3} d x + b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{b^{4} d^{2}}\right)} f + \frac{1}{24} \, e {\left(\frac{24 \, \sqrt{a^{2} + b^{2}} a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{4} d} - \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} - \frac{12 \, {\left(2 \, a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d}\right)}"," ",0,"1/144*(288*(a^4*e^c + a^2*b^2*e^c)*integrate(x*e^(d*x)/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x) - (36*(2*a^3*d^2*e^(3*c) + a*b^2*d^2*e^(3*c))*x^2 - 2*(3*b^3*d*x*e^(6*c) - b^3*e^(6*c))*e^(3*d*x) + 9*(2*a*b^2*d*x*e^(5*c) - a*b^2*e^(5*c))*e^(2*d*x) + 18*(4*a^2*b*e^(4*c) + b^3*e^(4*c) - (4*a^2*b*d*e^(4*c) + b^3*d*e^(4*c))*x)*e^(d*x) - 18*(4*a^2*b*e^(2*c) + b^3*e^(2*c) + (4*a^2*b*d*e^(2*c) + b^3*d*e^(2*c))*x)*e^(-d*x) - 9*(2*a*b^2*d*x*e^c + a*b^2*e^c)*e^(-2*d*x) - 2*(3*b^3*d*x + b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^2))*f + 1/24*e*(24*sqrt(a^2 + b^2)*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^4*d) - (3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) - 12*(2*a^3 + a*b^2)*(d*x + c)/(b^4*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + b^2)*e^(-d*x - c))/(b^3*d))","F",0
370,1,209,0,0.469185," ","integrate(cosh(d*x+c)^2*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\sqrt{a^{2} + b^{2}} a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{4} d} - \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{24 \, b^{3} d} - \frac{{\left(2 \, a^{3} + a b^{2}\right)} {\left(d x + c\right)}}{2 \, b^{4} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} + b^{2}\right)} e^{\left(-d x - c\right)}}{24 \, b^{3} d}"," ",0,"sqrt(a^2 + b^2)*a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^4*d) - 1/24*(3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 + b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) - 1/2*(2*a^3 + a*b^2)*(d*x + c)/(b^4*d) + 1/24*(3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 + b^2)*e^(-d*x - c))/(b^3*d)","A",0
371,0,0,0,0.000000," ","integrate(cosh(d*x+c)^2*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{b^{5} f x + b^{5} e - {\left(b^{5} f x e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{4} f x e^{c} + a b^{4} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{e^{\left(-3 \, c + \frac{3 \, d e}{f}\right)} E_{1}\left(\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b f} + \frac{a e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{2} f} + \frac{a e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{2} f} - \frac{e^{\left(3 \, c - \frac{3 \, d e}{f}\right)} E_{1}\left(-\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b f} + \frac{{\left(4 \, a^{2} + b^{2}\right)} e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{{\left(4 \, a^{2} e^{c} + b^{2} e^{c}\right)} e^{\left(-\frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{{\left(2 \, a^{3} + a b^{2}\right)} \log\left(f x + e\right)}{2 \, b^{4} f}"," ",0,"2*(a^4*e^c + a^2*b^2*e^c)*integrate(-e^(d*x)/(b^5*f*x + b^5*e - (b^5*f*x*e^(2*c) + b^5*e*e^(2*c))*e^(2*d*x) - 2*(a*b^4*f*x*e^c + a*b^4*e*e^c)*e^(d*x)), x) + 1/8*e^(-3*c + 3*d*e/f)*exp_integral_e(1, 3*(f*x + e)*d/f)/(b*f) + 1/4*a*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b^2*f) + 1/4*a*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b^2*f) - 1/8*e^(3*c - 3*d*e/f)*exp_integral_e(1, -3*(f*x + e)*d/f)/(b*f) + 1/8*(4*a^2 + b^2)*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^3*f) - 1/8*(4*a^2*e^c + b^2*e^c)*e^(-d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^3*f) - 1/2*(2*a^3 + a*b^2)*log(f*x + e)/(b^4*f)","F",0
372,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{192} \, e^{3} {\left(\frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 3 \, b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{b^{4} d} - \frac{192 \, {\left(a^{4} + a^{2} b^{2}\right)} {\left(d x + c\right)}}{b^{5} d} - \frac{8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-d x - c\right)} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{b^{4} d} - \frac{192 \, {\left(a^{4} + a^{2} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{5} d}\right)} + \frac{{\left(13824 \, {\left(a^{4} d^{4} f^{3} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{4} f^{3} e^{\left(4 \, c\right)}\right)} x^{4} + 55296 \, {\left(a^{4} d^{4} e f^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{4} e f^{2} e^{\left(4 \, c\right)}\right)} x^{3} + 82944 \, {\left(a^{4} d^{4} e^{2} f e^{\left(4 \, c\right)} + a^{2} b^{2} d^{4} e^{2} f e^{\left(4 \, c\right)}\right)} x^{2} + 27 \, {\left(32 \, b^{4} d^{3} f^{3} x^{3} e^{\left(8 \, c\right)} + 24 \, {\left(4 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{4} x^{2} e^{\left(8 \, c\right)} + 12 \, {\left(8 \, d^{3} e^{2} f - 4 \, d^{2} e f^{2} + d f^{3}\right)} b^{4} x e^{\left(8 \, c\right)} - 3 \, {\left(8 \, d^{2} e^{2} f - 4 \, d e f^{2} + f^{3}\right)} b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 256 \, {\left(9 \, a b^{3} d^{3} f^{3} x^{3} e^{\left(7 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{3} x^{2} e^{\left(7 \, c\right)} + 3 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} x e^{\left(7 \, c\right)} - {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 864 \, {\left(6 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a^{2} b^{2} e^{\left(6 \, c\right)} + 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} b^{4} e^{\left(6 \, c\right)} - 4 \, {\left(2 \, a^{2} b^{2} d^{3} f^{3} e^{\left(6 \, c\right)} + b^{4} d^{3} f^{3} e^{\left(6 \, c\right)}\right)} x^{3} - 6 \, {\left(2 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b^{2} e^{\left(6 \, c\right)} + {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{4} e^{\left(6 \, c\right)}\right)} x^{2} - 6 \, {\left(2 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} b^{2} e^{\left(6 \, c\right)} + {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{4} e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + 6912 \, {\left(12 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} b e^{\left(5 \, c\right)} + 9 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{\left(5 \, c\right)} - {\left(4 \, a^{3} b d^{3} f^{3} e^{\left(5 \, c\right)} + 3 \, a b^{3} d^{3} f^{3} e^{\left(5 \, c\right)}\right)} x^{3} - 3 \, {\left(4 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{3} b e^{\left(5 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{3} e^{\left(5 \, c\right)}\right)} x^{2} - 3 \, {\left(4 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} b e^{\left(5 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 6912 \, {\left(12 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} b e^{\left(3 \, c\right)} + 9 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{\left(3 \, c\right)} + {\left(4 \, a^{3} b d^{3} f^{3} e^{\left(3 \, c\right)} + 3 \, a b^{3} d^{3} f^{3} e^{\left(3 \, c\right)}\right)} x^{3} + 3 \, {\left(4 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{3} b e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{3} e^{\left(3 \, c\right)}\right)} x^{2} + 3 \, {\left(4 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} b e^{\left(3 \, c\right)} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 864 \, {\left(6 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a^{2} b^{2} e^{\left(2 \, c\right)} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} b^{4} e^{\left(2 \, c\right)} + 4 \, {\left(2 \, a^{2} b^{2} d^{3} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{3} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 6 \, {\left(2 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b^{2} e^{\left(2 \, c\right)} + {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{4} e^{\left(2 \, c\right)}\right)} x^{2} + 6 \, {\left(2 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} b^{2} e^{\left(2 \, c\right)} + {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} b^{4} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-2 \, d x\right)} + 256 \, {\left(9 \, a b^{3} d^{3} f^{3} x^{3} e^{c} + 9 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{3} x^{2} e^{c} + 3 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} x e^{c} + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{c}\right)} e^{\left(-3 \, d x\right)} + 27 \, {\left(32 \, b^{4} d^{3} f^{3} x^{3} + 24 \, {\left(4 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{4} x^{2} + 12 \, {\left(8 \, d^{3} e^{2} f + 4 \, d^{2} e f^{2} + d f^{3}\right)} b^{4} x + 3 \, {\left(8 \, d^{2} e^{2} f + 4 \, d e f^{2} + f^{3}\right)} b^{4}\right)} e^{\left(-4 \, d x\right)}\right)} e^{\left(-4 \, c\right)}}{55296 \, b^{5} d^{4}} - \int -\frac{2 \, {\left({\left(a^{4} b f^{3} + a^{2} b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} b e f^{2} + a^{2} b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} b e^{2} f + a^{2} b^{3} e^{2} f\right)} x - {\left({\left(a^{5} f^{3} e^{c} + a^{3} b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{5} e f^{2} e^{c} + a^{3} b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{5} e^{2} f e^{c} + a^{3} b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{5} e^{\left(d x + c\right)} - b^{6}}\,{d x}"," ",0,"-1/192*e^3*((8*a*b^2*e^(-d*x - c) - 3*b^3 - 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c) + 24*(4*a^3 + 3*a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) - 192*(a^4 + a^2*b^2)*(d*x + c)/(b^5*d) - (8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + 3*a*b^2)*e^(-d*x - c) + 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c))/(b^4*d) - 192*(a^4 + a^2*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^5*d)) + 1/55296*(13824*(a^4*d^4*f^3*e^(4*c) + a^2*b^2*d^4*f^3*e^(4*c))*x^4 + 55296*(a^4*d^4*e*f^2*e^(4*c) + a^2*b^2*d^4*e*f^2*e^(4*c))*x^3 + 82944*(a^4*d^4*e^2*f*e^(4*c) + a^2*b^2*d^4*e^2*f*e^(4*c))*x^2 + 27*(32*b^4*d^3*f^3*x^3*e^(8*c) + 24*(4*d^3*e*f^2 - d^2*f^3)*b^4*x^2*e^(8*c) + 12*(8*d^3*e^2*f - 4*d^2*e*f^2 + d*f^3)*b^4*x*e^(8*c) - 3*(8*d^2*e^2*f - 4*d*e*f^2 + f^3)*b^4*e^(8*c))*e^(4*d*x) - 256*(9*a*b^3*d^3*f^3*x^3*e^(7*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*a*b^3*x^2*e^(7*c) + 3*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*a*b^3*x*e^(7*c) - (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*a*b^3*e^(7*c))*e^(3*d*x) - 864*(6*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a^2*b^2*e^(6*c) + 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*b^4*e^(6*c) - 4*(2*a^2*b^2*d^3*f^3*e^(6*c) + b^4*d^3*f^3*e^(6*c))*x^3 - 6*(2*(2*d^3*e*f^2 - d^2*f^3)*a^2*b^2*e^(6*c) + (2*d^3*e*f^2 - d^2*f^3)*b^4*e^(6*c))*x^2 - 6*(2*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a^2*b^2*e^(6*c) + (2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*b^4*e^(6*c))*x)*e^(2*d*x) + 6912*(12*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^3*b*e^(5*c) + 9*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b^3*e^(5*c) - (4*a^3*b*d^3*f^3*e^(5*c) + 3*a*b^3*d^3*f^3*e^(5*c))*x^3 - 3*(4*(d^3*e*f^2 - d^2*f^3)*a^3*b*e^(5*c) + 3*(d^3*e*f^2 - d^2*f^3)*a*b^3*e^(5*c))*x^2 - 3*(4*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^3*b*e^(5*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b^3*e^(5*c))*x)*e^(d*x) + 6912*(12*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^3*b*e^(3*c) + 9*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b^3*e^(3*c) + (4*a^3*b*d^3*f^3*e^(3*c) + 3*a*b^3*d^3*f^3*e^(3*c))*x^3 + 3*(4*(d^3*e*f^2 + d^2*f^3)*a^3*b*e^(3*c) + 3*(d^3*e*f^2 + d^2*f^3)*a*b^3*e^(3*c))*x^2 + 3*(4*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^3*b*e^(3*c) + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b^3*e^(3*c))*x)*e^(-d*x) + 864*(6*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a^2*b^2*e^(2*c) + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*b^4*e^(2*c) + 4*(2*a^2*b^2*d^3*f^3*e^(2*c) + b^4*d^3*f^3*e^(2*c))*x^3 + 6*(2*(2*d^3*e*f^2 + d^2*f^3)*a^2*b^2*e^(2*c) + (2*d^3*e*f^2 + d^2*f^3)*b^4*e^(2*c))*x^2 + 6*(2*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a^2*b^2*e^(2*c) + (2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*b^4*e^(2*c))*x)*e^(-2*d*x) + 256*(9*a*b^3*d^3*f^3*x^3*e^c + 9*(3*d^3*e*f^2 + d^2*f^3)*a*b^3*x^2*e^c + 3*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*a*b^3*x*e^c + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*a*b^3*e^c)*e^(-3*d*x) + 27*(32*b^4*d^3*f^3*x^3 + 24*(4*d^3*e*f^2 + d^2*f^3)*b^4*x^2 + 12*(8*d^3*e^2*f + 4*d^2*e*f^2 + d*f^3)*b^4*x + 3*(8*d^2*e^2*f + 4*d*e*f^2 + f^3)*b^4)*e^(-4*d*x))*e^(-4*c)/(b^5*d^4) - integrate(-2*((a^4*b*f^3 + a^2*b^3*f^3)*x^3 + 3*(a^4*b*e*f^2 + a^2*b^3*e*f^2)*x^2 + 3*(a^4*b*e^2*f + a^2*b^3*e^2*f)*x - ((a^5*f^3*e^c + a^3*b^2*f^3*e^c)*x^3 + 3*(a^5*e*f^2*e^c + a^3*b^2*e*f^2*e^c)*x^2 + 3*(a^5*e^2*f*e^c + a^3*b^2*e^2*f*e^c)*x)*e^(d*x))/(b^6*e^(2*d*x + 2*c) + 2*a*b^5*e^(d*x + c) - b^6), x)","F",0
373,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{192} \, e^{2} {\left(\frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 3 \, b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{b^{4} d} - \frac{192 \, {\left(a^{4} + a^{2} b^{2}\right)} {\left(d x + c\right)}}{b^{5} d} - \frac{8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-d x - c\right)} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{b^{4} d} - \frac{192 \, {\left(a^{4} + a^{2} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{5} d}\right)} + \frac{{\left(4608 \, {\left(a^{4} d^{3} f^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{3} f^{2} e^{\left(4 \, c\right)}\right)} x^{3} + 13824 \, {\left(a^{4} d^{3} e f e^{\left(4 \, c\right)} + a^{2} b^{2} d^{3} e f e^{\left(4 \, c\right)}\right)} x^{2} + 27 \, {\left(8 \, b^{4} d^{2} f^{2} x^{2} e^{\left(8 \, c\right)} + 4 \, {\left(4 \, d^{2} e f - d f^{2}\right)} b^{4} x e^{\left(8 \, c\right)} - {\left(4 \, d e f - f^{2}\right)} b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 64 \, {\left(9 \, a b^{3} d^{2} f^{2} x^{2} e^{\left(7 \, c\right)} + 6 \, {\left(3 \, d^{2} e f - d f^{2}\right)} a b^{3} x e^{\left(7 \, c\right)} - 2 \, {\left(3 \, d e f - f^{2}\right)} a b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 432 \, {\left(2 \, {\left(2 \, d e f - f^{2}\right)} a^{2} b^{2} e^{\left(6 \, c\right)} + {\left(2 \, d e f - f^{2}\right)} b^{4} e^{\left(6 \, c\right)} - 2 \, {\left(2 \, a^{2} b^{2} d^{2} f^{2} e^{\left(6 \, c\right)} + b^{4} d^{2} f^{2} e^{\left(6 \, c\right)}\right)} x^{2} - 2 \, {\left(2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a^{2} b^{2} e^{\left(6 \, c\right)} + {\left(2 \, d^{2} e f - d f^{2}\right)} b^{4} e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + 1728 \, {\left(8 \, {\left(d e f - f^{2}\right)} a^{3} b e^{\left(5 \, c\right)} + 6 \, {\left(d e f - f^{2}\right)} a b^{3} e^{\left(5 \, c\right)} - {\left(4 \, a^{3} b d^{2} f^{2} e^{\left(5 \, c\right)} + 3 \, a b^{3} d^{2} f^{2} e^{\left(5 \, c\right)}\right)} x^{2} - 2 \, {\left(4 \, {\left(d^{2} e f - d f^{2}\right)} a^{3} b e^{\left(5 \, c\right)} + 3 \, {\left(d^{2} e f - d f^{2}\right)} a b^{3} e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 1728 \, {\left(8 \, {\left(d e f + f^{2}\right)} a^{3} b e^{\left(3 \, c\right)} + 6 \, {\left(d e f + f^{2}\right)} a b^{3} e^{\left(3 \, c\right)} + {\left(4 \, a^{3} b d^{2} f^{2} e^{\left(3 \, c\right)} + 3 \, a b^{3} d^{2} f^{2} e^{\left(3 \, c\right)}\right)} x^{2} + 2 \, {\left(4 \, {\left(d^{2} e f + d f^{2}\right)} a^{3} b e^{\left(3 \, c\right)} + 3 \, {\left(d^{2} e f + d f^{2}\right)} a b^{3} e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 432 \, {\left(2 \, {\left(2 \, d e f + f^{2}\right)} a^{2} b^{2} e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} b^{4} e^{\left(2 \, c\right)} + 2 \, {\left(2 \, a^{2} b^{2} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a^{2} b^{2} e^{\left(2 \, c\right)} + {\left(2 \, d^{2} e f + d f^{2}\right)} b^{4} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-2 \, d x\right)} + 64 \, {\left(9 \, a b^{3} d^{2} f^{2} x^{2} e^{c} + 6 \, {\left(3 \, d^{2} e f + d f^{2}\right)} a b^{3} x e^{c} + 2 \, {\left(3 \, d e f + f^{2}\right)} a b^{3} e^{c}\right)} e^{\left(-3 \, d x\right)} + 27 \, {\left(8 \, b^{4} d^{2} f^{2} x^{2} + 4 \, {\left(4 \, d^{2} e f + d f^{2}\right)} b^{4} x + {\left(4 \, d e f + f^{2}\right)} b^{4}\right)} e^{\left(-4 \, d x\right)}\right)} e^{\left(-4 \, c\right)}}{13824 \, b^{5} d^{3}} - \int -\frac{2 \, {\left({\left(a^{4} b f^{2} + a^{2} b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{4} b e f + a^{2} b^{3} e f\right)} x - {\left({\left(a^{5} f^{2} e^{c} + a^{3} b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{5} e f e^{c} + a^{3} b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{5} e^{\left(d x + c\right)} - b^{6}}\,{d x}"," ",0,"-1/192*e^2*((8*a*b^2*e^(-d*x - c) - 3*b^3 - 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c) + 24*(4*a^3 + 3*a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) - 192*(a^4 + a^2*b^2)*(d*x + c)/(b^5*d) - (8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + 3*a*b^2)*e^(-d*x - c) + 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c))/(b^4*d) - 192*(a^4 + a^2*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^5*d)) + 1/13824*(4608*(a^4*d^3*f^2*e^(4*c) + a^2*b^2*d^3*f^2*e^(4*c))*x^3 + 13824*(a^4*d^3*e*f*e^(4*c) + a^2*b^2*d^3*e*f*e^(4*c))*x^2 + 27*(8*b^4*d^2*f^2*x^2*e^(8*c) + 4*(4*d^2*e*f - d*f^2)*b^4*x*e^(8*c) - (4*d*e*f - f^2)*b^4*e^(8*c))*e^(4*d*x) - 64*(9*a*b^3*d^2*f^2*x^2*e^(7*c) + 6*(3*d^2*e*f - d*f^2)*a*b^3*x*e^(7*c) - 2*(3*d*e*f - f^2)*a*b^3*e^(7*c))*e^(3*d*x) - 432*(2*(2*d*e*f - f^2)*a^2*b^2*e^(6*c) + (2*d*e*f - f^2)*b^4*e^(6*c) - 2*(2*a^2*b^2*d^2*f^2*e^(6*c) + b^4*d^2*f^2*e^(6*c))*x^2 - 2*(2*(2*d^2*e*f - d*f^2)*a^2*b^2*e^(6*c) + (2*d^2*e*f - d*f^2)*b^4*e^(6*c))*x)*e^(2*d*x) + 1728*(8*(d*e*f - f^2)*a^3*b*e^(5*c) + 6*(d*e*f - f^2)*a*b^3*e^(5*c) - (4*a^3*b*d^2*f^2*e^(5*c) + 3*a*b^3*d^2*f^2*e^(5*c))*x^2 - 2*(4*(d^2*e*f - d*f^2)*a^3*b*e^(5*c) + 3*(d^2*e*f - d*f^2)*a*b^3*e^(5*c))*x)*e^(d*x) + 1728*(8*(d*e*f + f^2)*a^3*b*e^(3*c) + 6*(d*e*f + f^2)*a*b^3*e^(3*c) + (4*a^3*b*d^2*f^2*e^(3*c) + 3*a*b^3*d^2*f^2*e^(3*c))*x^2 + 2*(4*(d^2*e*f + d*f^2)*a^3*b*e^(3*c) + 3*(d^2*e*f + d*f^2)*a*b^3*e^(3*c))*x)*e^(-d*x) + 432*(2*(2*d*e*f + f^2)*a^2*b^2*e^(2*c) + (2*d*e*f + f^2)*b^4*e^(2*c) + 2*(2*a^2*b^2*d^2*f^2*e^(2*c) + b^4*d^2*f^2*e^(2*c))*x^2 + 2*(2*(2*d^2*e*f + d*f^2)*a^2*b^2*e^(2*c) + (2*d^2*e*f + d*f^2)*b^4*e^(2*c))*x)*e^(-2*d*x) + 64*(9*a*b^3*d^2*f^2*x^2*e^c + 6*(3*d^2*e*f + d*f^2)*a*b^3*x*e^c + 2*(3*d*e*f + f^2)*a*b^3*e^c)*e^(-3*d*x) + 27*(8*b^4*d^2*f^2*x^2 + 4*(4*d^2*e*f + d*f^2)*b^4*x + (4*d*e*f + f^2)*b^4)*e^(-4*d*x))*e^(-4*c)/(b^5*d^3) - integrate(-2*((a^4*b*f^2 + a^2*b^3*f^2)*x^2 + 2*(a^4*b*e*f + a^2*b^3*e*f)*x - ((a^5*f^2*e^c + a^3*b^2*f^2*e^c)*x^2 + 2*(a^5*e*f*e^c + a^3*b^2*e*f*e^c)*x)*e^(d*x))/(b^6*e^(2*d*x + 2*c) + 2*a*b^5*e^(d*x + c) - b^6), x)","F",0
374,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{192} \, e {\left(\frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 3 \, b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{b^{4} d} - \frac{192 \, {\left(a^{4} + a^{2} b^{2}\right)} {\left(d x + c\right)}}{b^{5} d} - \frac{8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-d x - c\right)} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{b^{4} d} - \frac{192 \, {\left(a^{4} + a^{2} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{5} d}\right)} + \frac{1}{2304} \, f {\left(\frac{{\left(1152 \, {\left(a^{4} d^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 9 \, {\left(4 \, b^{4} d x e^{\left(8 \, c\right)} - b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 32 \, {\left(3 \, a b^{3} d x e^{\left(7 \, c\right)} - a b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 72 \, {\left(2 \, a^{2} b^{2} e^{\left(6 \, c\right)} + b^{4} e^{\left(6 \, c\right)} - 2 \, {\left(2 \, a^{2} b^{2} d e^{\left(6 \, c\right)} + b^{4} d e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + 288 \, {\left(4 \, a^{3} b e^{\left(5 \, c\right)} + 3 \, a b^{3} e^{\left(5 \, c\right)} - {\left(4 \, a^{3} b d e^{\left(5 \, c\right)} + 3 \, a b^{3} d e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 288 \, {\left(4 \, a^{3} b e^{\left(3 \, c\right)} + 3 \, a b^{3} e^{\left(3 \, c\right)} + {\left(4 \, a^{3} b d e^{\left(3 \, c\right)} + 3 \, a b^{3} d e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 72 \, {\left(2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)} + 2 \, {\left(2 \, a^{2} b^{2} d e^{\left(2 \, c\right)} + b^{4} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-2 \, d x\right)} + 32 \, {\left(3 \, a b^{3} d x e^{c} + a b^{3} e^{c}\right)} e^{\left(-3 \, d x\right)} + 9 \, {\left(4 \, b^{4} d x + b^{4}\right)} e^{\left(-4 \, d x\right)}\right)} e^{\left(-4 \, c\right)}}{b^{5} d^{2}} - 72 \, \int \frac{64 \, {\left({\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{4} b + a^{2} b^{3}\right)} x\right)}}{b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{5} e^{\left(d x + c\right)} - b^{6}}\,{d x}\right)}"," ",0,"-1/192*e*((8*a*b^2*e^(-d*x - c) - 3*b^3 - 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c) + 24*(4*a^3 + 3*a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) - 192*(a^4 + a^2*b^2)*(d*x + c)/(b^5*d) - (8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + 3*a*b^2)*e^(-d*x - c) + 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c))/(b^4*d) - 192*(a^4 + a^2*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^5*d)) + 1/2304*f*((1152*(a^4*d^2*e^(4*c) + a^2*b^2*d^2*e^(4*c))*x^2 + 9*(4*b^4*d*x*e^(8*c) - b^4*e^(8*c))*e^(4*d*x) - 32*(3*a*b^3*d*x*e^(7*c) - a*b^3*e^(7*c))*e^(3*d*x) - 72*(2*a^2*b^2*e^(6*c) + b^4*e^(6*c) - 2*(2*a^2*b^2*d*e^(6*c) + b^4*d*e^(6*c))*x)*e^(2*d*x) + 288*(4*a^3*b*e^(5*c) + 3*a*b^3*e^(5*c) - (4*a^3*b*d*e^(5*c) + 3*a*b^3*d*e^(5*c))*x)*e^(d*x) + 288*(4*a^3*b*e^(3*c) + 3*a*b^3*e^(3*c) + (4*a^3*b*d*e^(3*c) + 3*a*b^3*d*e^(3*c))*x)*e^(-d*x) + 72*(2*a^2*b^2*e^(2*c) + b^4*e^(2*c) + 2*(2*a^2*b^2*d*e^(2*c) + b^4*d*e^(2*c))*x)*e^(-2*d*x) + 32*(3*a*b^3*d*x*e^c + a*b^3*e^c)*e^(-3*d*x) + 9*(4*b^4*d*x + b^4)*e^(-4*d*x))*e^(-4*c)/(b^5*d^2) - 72*integrate(64*((a^5*e^c + a^3*b^2*e^c)*x*e^(d*x) - (a^4*b + a^2*b^3)*x)/(b^6*e^(2*d*x + 2*c) + 2*a*b^5*e^(d*x + c) - b^6), x))","F",0
375,1,234,0,0.338388," ","integrate(cosh(d*x+c)^3*sinh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 3 \, b^{3} - 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{192 \, b^{4} d} + \frac{{\left(a^{4} + a^{2} b^{2}\right)} {\left(d x + c\right)}}{b^{5} d} + \frac{8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-d x - c\right)} + 12 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{192 \, b^{4} d} + \frac{{\left(a^{4} + a^{2} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{5} d}"," ",0,"-1/192*(8*a*b^2*e^(-d*x - c) - 3*b^3 - 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c) + 24*(4*a^3 + 3*a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) + (a^4 + a^2*b^2)*(d*x + c)/(b^5*d) + 1/192*(8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + 3*a*b^2)*e^(-d*x - c) + 12*(2*a^2*b + b^3)*e^(-2*d*x - 2*c))/(b^4*d) + (a^4 + a^2*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^5*d)","B",0
376,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3*sinh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{e^{\left(-4 \, c + \frac{4 \, d e}{f}\right)} E_{1}\left(\frac{4 \, {\left(f x + e\right)} d}{f}\right)}{16 \, b f} + \frac{a e^{\left(-3 \, c + \frac{3 \, d e}{f}\right)} E_{1}\left(\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{2} f} + \frac{a e^{\left(3 \, c - \frac{3 \, d e}{f}\right)} E_{1}\left(-\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{2} f} - \frac{e^{\left(4 \, c - \frac{4 \, d e}{f}\right)} E_{1}\left(-\frac{4 \, {\left(f x + e\right)} d}{f}\right)}{16 \, b f} + \frac{{\left(2 \, a^{2} + b^{2}\right)} e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{{\left(2 \, a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-\frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} + \frac{{\left(4 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{4} f} + \frac{{\left(4 \, a^{3} e^{c} + 3 \, a b^{2} e^{c}\right)} e^{\left(-\frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{4} f} + \frac{{\left(a^{4} + a^{2} b^{2}\right)} \log\left(f x + e\right)}{b^{5} f} - \frac{1}{32} \, \int \frac{64 \, {\left(a^{4} b + a^{2} b^{3} - {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{6} f x + b^{6} e - {\left(b^{6} f x e^{\left(2 \, c\right)} + b^{6} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{5} f x e^{c} + a b^{5} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"1/16*e^(-4*c + 4*d*e/f)*exp_integral_e(1, 4*(f*x + e)*d/f)/(b*f) + 1/8*a*e^(-3*c + 3*d*e/f)*exp_integral_e(1, 3*(f*x + e)*d/f)/(b^2*f) + 1/8*a*e^(3*c - 3*d*e/f)*exp_integral_e(1, -3*(f*x + e)*d/f)/(b^2*f) - 1/16*e^(4*c - 4*d*e/f)*exp_integral_e(1, -4*(f*x + e)*d/f)/(b*f) + 1/8*(2*a^2 + b^2)*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b^3*f) - 1/8*(2*a^2*e^(2*c) + b^2*e^(2*c))*e^(-2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b^3*f) + 1/8*(4*a^3 + 3*a*b^2)*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^4*f) + 1/8*(4*a^3*e^c + 3*a*b^2*e^c)*e^(-d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^4*f) + (a^4 + a^2*b^2)*log(f*x + e)/(b^5*f) - 1/32*integrate(64*(a^4*b + a^2*b^3 - (a^5*e^c + a^3*b^2*e^c)*e^(d*x))/(b^6*f*x + b^6*e - (b^6*f*x*e^(2*c) + b^6*e*e^(2*c))*e^(2*d*x) - 2*(a*b^5*f*x*e^c + a*b^5*e*e^c)*e^(d*x)), x)","F",0
377,0,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{3} {\left(\frac{a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b + b^{3}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{d x + c}{b d}\right)} + \frac{f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2}}{4 \, b} - \int \frac{2 \, {\left(a^{2} b f^{3} x^{3} + 3 \, a^{2} b e f^{2} x^{2} + 3 \, a^{2} b e^{2} f x - {\left(a^{3} f^{3} x^{3} e^{c} + 3 \, a^{3} e f^{2} x^{2} e^{c} + 3 \, a^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e^{c} + a b^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{2 \, {\left(b f^{3} x^{3} + 3 \, b e f^{2} x^{2} + 3 \, b e^{2} f x + {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"e^3*(a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b + b^3)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + (d*x + c)/(b*d)) + 1/4*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2)/b - integrate(2*(a^2*b*f^3*x^3 + 3*a^2*b*e*f^2*x^2 + 3*a^2*b*e^2*f*x - (a^3*f^3*x^3*e^c + 3*a^3*e*f^2*x^2*e^c + 3*a^3*e^2*f*x*e^c)*e^(d*x))/(a^2*b^2 + b^4 - (a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x) - 2*(a^3*b*e^c + a*b^3*e^c)*e^(d*x)), x) - integrate(2*(b*f^3*x^3 + 3*b*e*f^2*x^2 + 3*b*e^2*f*x + (a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
378,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{2} {\left(\frac{a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b + b^{3}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{d x + c}{b d}\right)} + \frac{f^{2} x^{3} + 3 \, e f x^{2}}{3 \, b} - \int \frac{2 \, {\left(a^{2} b f^{2} x^{2} + 2 \, a^{2} b e f x - {\left(a^{3} f^{2} x^{2} e^{c} + 2 \, a^{3} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e^{c} + a b^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{2 \, {\left(b f^{2} x^{2} + 2 \, b e f x + {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"e^2*(a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b + b^3)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + (d*x + c)/(b*d)) + 1/3*(f^2*x^3 + 3*e*f*x^2)/b - integrate(2*(a^2*b*f^2*x^2 + 2*a^2*b*e*f*x - (a^3*f^2*x^2*e^c + 2*a^3*e*f*x*e^c)*e^(d*x))/(a^2*b^2 + b^4 - (a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x) - 2*(a^3*b*e^c + a*b^3*e^c)*e^(d*x)), x) - integrate(2*(b*f^2*x^2 + 2*b*e*f*x + (a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
379,0,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, f {\left(\frac{x^{2}}{b} - \int -\frac{4 \, {\left(a^{3} x e^{\left(d x + c\right)} - a^{2} b x\right)}}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e^{c} + a b^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{4 \, {\left(a x e^{\left(d x + c\right)} + b x\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}\right)} + e {\left(\frac{a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b + b^{3}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{d x + c}{b d}\right)}"," ",0,"1/2*f*(x^2/b - integrate(-4*(a^3*x*e^(d*x + c) - a^2*b*x)/(a^2*b^2 + b^4 - (a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x) - 2*(a^3*b*e^c + a*b^3*e^c)*e^(d*x)), x) - integrate(4*(a*x*e^(d*x + c) + b*x)/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)) + e*(a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b + b^3)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + (d*x + c)/(b*d))","F",0
380,1,110,0,0.404119," ","integrate(sinh(d*x+c)*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b + b^{3}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{d x + c}{b d}"," ",0,"a^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b + b^3)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + (d*x + c)/(b*d)","A",0
381,0,0,0,0.000000," ","integrate(sinh(d*x+c)*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(f x + e\right)}{b f} - \frac{1}{2} \, \int -\frac{4 \, {\left(a^{3} e^{\left(d x + c\right)} - a^{2} b\right)}}{a^{2} b^{2} e + b^{4} e + {\left(a^{2} b^{2} f + b^{4} f\right)} x - {\left(a^{2} b^{2} e e^{\left(2 \, c\right)} + b^{4} e e^{\left(2 \, c\right)} + {\left(a^{2} b^{2} f e^{\left(2 \, c\right)} + b^{4} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e e^{c} + a b^{3} e e^{c} + {\left(a^{3} b f e^{c} + a b^{3} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x} - \frac{1}{2} \, \int \frac{4 \, {\left(a e^{\left(d x + c\right)} + b\right)}}{a^{2} e + b^{2} e + {\left(a^{2} f + b^{2} f\right)} x + {\left(a^{2} e e^{\left(2 \, c\right)} + b^{2} e e^{\left(2 \, c\right)} + {\left(a^{2} f e^{\left(2 \, c\right)} + b^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"log(f*x + e)/(b*f) - 1/2*integrate(-4*(a^3*e^(d*x + c) - a^2*b)/(a^2*b^2*e + b^4*e + (a^2*b^2*f + b^4*f)*x - (a^2*b^2*e*e^(2*c) + b^4*e*e^(2*c) + (a^2*b^2*f*e^(2*c) + b^4*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^3*b*e*e^c + a*b^3*e*e^c + (a^3*b*f*e^c + a*b^3*f*e^c)*x)*e^(d*x)), x) - 1/2*integrate(4*(a*e^(d*x + c) + b)/(a^2*e + b^2*e + (a^2*f + b^2*f)*x + (a^2*e*e^(2*c) + b^2*e*e^(2*c) + (a^2*f*e^(2*c) + b^2*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
382,0,0,0,0.000000," ","integrate((f*x+e)^3*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-3 \, a e^{2} f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} + 6 \, b f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 6 \, a f^{3} \int \frac{x^{2}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 12 \, b e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 12 \, a e f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + e^{3} {\left(\frac{a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} - \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)} + \frac{6 \, b e^{2} f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{2 \, {\left(a f^{3} x^{3} + 3 \, a e f^{2} x^{2} + 3 \, a e^{2} f x - {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int -\frac{2 \, {\left(a^{2} f^{3} x^{3} e^{c} + 3 \, a^{2} e f^{2} x^{2} e^{c} + 3 \, a^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-3*a*e^2*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) + 6*b*f^3*integrate(x^2*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 6*a*f^3*integrate(x^2/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 12*b*e*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 12*a*e*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + e^3*(a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) - 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)) + 6*b*e^2*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + 2*(a*f^3*x^3 + 3*a*e*f^2*x^2 + 3*a*e^2*f*x - (b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + integrate(-2*(a^2*f^3*x^3*e^c + 3*a^2*e*f^2*x^2*e^c + 3*a^2*e^2*f*x*e^c)*e^(d*x)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x)","F",0
383,0,0,0,0.000000," ","integrate((f*x+e)^2*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, a e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} + 4 \, b f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 4 \, a f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + e^{2} {\left(\frac{a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} - \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)} + \frac{4 \, b e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x - {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int -\frac{2 \, {\left(a^{2} f^{2} x^{2} e^{c} + 2 \, a^{2} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*a*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) + 4*b*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 4*a*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + e^2*(a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) - 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)) + 4*b*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + 2*(a*f^2*x^2 + 2*a*e*f*x - (b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + integrate(-2*(a^2*f^2*x^2*e^c + 2*a^2*e*f*x*e^c)*e^(d*x)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x)","F",0
384,0,0,0,0.000000," ","integrate((f*x+e)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(2 \, a^{2} \int -\frac{x e^{\left(d x + c\right)}}{a^{2} b + b^{3} - {\left(a^{2} b e^{\left(2 \, c\right)} + b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{2 \, {\left(b x e^{\left(d x + c\right)} - a x\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \frac{2 \, a x}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{a \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} f + e {\left(\frac{a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} - \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}\right)}"," ",0,"(2*a^2*integrate(-x*e^(d*x + c)/(a^2*b + b^3 - (a^2*b*e^(2*c) + b^3*e^(2*c))*e^(2*d*x) - 2*(a^3*e^c + a*b^2*e^c)*e^(d*x)), x) - 2*(b*x*e^(d*x + c) - a*x)/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - 2*a*x/((a^2 + b^2)*d) + 2*b*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + a*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2))*f + e*(a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) - 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d))","F",0
385,1,115,0,0.480184," ","integrate(tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} - \frac{2 \, {\left(b e^{\left(-d x - c\right)} + a\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"a^2*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) - 2*(b*e^(-d*x - c) + a)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d)","A",0
386,0,0,0,0.000000," ","integrate(tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, a^{2} \int -\frac{e^{\left(d x + c\right)}}{a^{2} b e + b^{3} e + {\left(a^{2} b f + b^{3} f\right)} x - {\left(a^{2} b e e^{\left(2 \, c\right)} + b^{3} e e^{\left(2 \, c\right)} + {\left(a^{2} b f e^{\left(2 \, c\right)} + b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} e e^{c} + a b^{2} e e^{c} + {\left(a^{3} f e^{c} + a b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x} - \frac{2 \, {\left(b e^{\left(d x + c\right)} - a\right)}}{a^{2} d e + b^{2} d e + {\left(a^{2} d f + b^{2} d f\right)} x + {\left(a^{2} d e e^{\left(2 \, c\right)} + b^{2} d e e^{\left(2 \, c\right)} + {\left(a^{2} d f e^{\left(2 \, c\right)} + b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} - \int \frac{2 \, {\left(b f e^{\left(d x + c\right)} - a f\right)}}{a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"2*a^2*integrate(-e^(d*x + c)/(a^2*b*e + b^3*e + (a^2*b*f + b^3*f)*x - (a^2*b*e*e^(2*c) + b^3*e*e^(2*c) + (a^2*b*f*e^(2*c) + b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^3*e*e^c + a*b^2*e*e^c + (a^3*f*e^c + a*b^2*f*e^c)*x)*e^(d*x)), x) - 2*(b*e^(d*x + c) - a)/(a^2*d*e + b^2*d*e + (a^2*d*f + b^2*d*f)*x + (a^2*d*e*e^(2*c) + b^2*d*e*e^(2*c) + (a^2*d*f*e^(2*c) + b^2*d*f*e^(2*c))*x)*e^(2*d*x)) - integrate(2*(b*f*e^(d*x + c) - a*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
387,0,0,0,0.000000," ","integrate((f*x+e)^2*sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","a^{3} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - a b^{2} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, a^{2} b d^{2} f^{2} \int \frac{x^{2}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, a^{3} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 2 \, a b^{2} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 4 \, a^{2} b d^{2} e f \int \frac{x}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + a^{2} b f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} + b^{3} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} + {\left(\frac{a^{2} b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a^{2} b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} - a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} - a e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e^{2} + \frac{2 \, a^{3} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{2 \, a b^{2} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{2 \, b f^{2} x + 2 \, b e f + {\left(a d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} a x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(b d f^{2} x^{2} e^{\left(2 \, c\right)} + b e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} b x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(a d f^{2} x^{2} e^{c} - 2 \, a e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} a x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \int \frac{2 \, {\left(a^{2} b^{2} f^{2} x^{2} + 2 \, a^{2} b^{2} e f x - {\left(a^{3} b f^{2} x^{2} e^{c} + 2 \, a^{3} b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"a^3*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - a*b^2*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*a^2*b*d^2*f^2*integrate(x^2/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*a^3*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 2*a*b^2*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 4*a^2*b*d^2*e*f*integrate(x/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + a^2*b*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) + b^3*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) + (a^2*b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a^2*b*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 - a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) - a*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e^2 + 2*a^3*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) + 2*a*b^2*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) - (2*b*f^2*x + 2*b*e*f + (a*d*f^2*x^2*e^(3*c) + 2*a*e*f*e^(3*c) + 2*(d*e*f + f^2)*a*x*e^(3*c))*e^(3*d*x) + 2*(b*d*f^2*x^2*e^(2*c) + b*e*f*e^(2*c) + (2*d*e*f + f^2)*b*x*e^(2*c))*e^(2*d*x) - (a*d*f^2*x^2*e^c - 2*a*e*f*e^c + 2*(d*e*f - f^2)*a*x*e^c)*e^(d*x))/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) - integrate(2*(a^2*b^2*f^2*x^2 + 2*a^2*b^2*e*f*x - (a^3*b*f^2*x^2*e^c + 2*a^3*b*e*f*x*e^c)*e^(d*x))/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x)","F",0
388,0,0,0,0.000000," ","integrate((f*x+e)*sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{a^{2} b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a^{2} b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} - a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} - a e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e - f {\left(\frac{{\left(a d x e^{\left(3 \, c\right)} + a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(2 \, b d x e^{\left(2 \, c\right)} + b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(a d x e^{c} - a e^{c}\right)} e^{\left(d x\right)} + b}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + 2 \, \int -\frac{a^{3} b x e^{\left(d x + c\right)} - a^{2} b^{2} x}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - 2 \, \int \frac{2 \, a^{2} b x + {\left(a^{3} e^{c} - a b^{2} e^{c}\right)} x e^{\left(d x\right)}}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)}"," ",0,"(a^2*b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a^2*b*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 - a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) - a*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e - f*(((a*d*x*e^(3*c) + a*e^(3*c))*e^(3*d*x) + (2*b*d*x*e^(2*c) + b*e^(2*c))*e^(2*d*x) - (a*d*x*e^c - a*e^c)*e^(d*x) + b)/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) + 2*integrate(-(a^3*b*x*e^(d*x + c) - a^2*b^2*x)/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) - 2*integrate(1/2*(2*a^2*b*x + (a^3*e^c - a*b^2*e^c)*x*e^(d*x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x))","F",0
389,1,219,0,0.737116," ","integrate(sech(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a^{2} b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a^{2} b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} - a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} - a e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}"," ",0,"a^2*b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a^2*b*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 - a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) - a*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d)","A",0
390,0,0,0,0.000000," ","integrate(sech(d*x+c)*tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b f - {\left(a d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, b d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f x e^{c} + {\left(d e + f\right)} a e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{2} + b^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + b^{2} d^{2} e f\right)} x + {\left(a^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(4 \, c\right)} + b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(2 \, c\right)} + b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + 2 \, \int \frac{2 \, a^{2} b d^{2} f^{2} x^{2} + 4 \, a^{2} b d^{2} e f x + 2 \, b^{3} f^{2} + 2 \, {\left(d^{2} e^{2} + f^{2}\right)} a^{2} b + {\left({\left(d^{2} e^{2} + 2 \, f^{2}\right)} a^{3} e^{c} - {\left(d^{2} e^{2} - 2 \, f^{2}\right)} a b^{2} e^{c} + {\left(a^{3} d^{2} f^{2} e^{c} - a b^{2} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} d^{2} e f e^{c} - a b^{2} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{2 \, {\left(a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} - 2 \, \int -\frac{a^{3} b e^{\left(d x + c\right)} - a^{2} b^{2}}{a^{4} b e + 2 \, a^{2} b^{3} e + b^{5} e + {\left(a^{4} b f + 2 \, a^{2} b^{3} f + b^{5} f\right)} x - {\left(a^{4} b e e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)} + {\left(a^{4} b f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} f e^{\left(2 \, c\right)} + b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e e^{c} + 2 \, a^{3} b^{2} e e^{c} + a b^{4} e e^{c} + {\left(a^{5} f e^{c} + 2 \, a^{3} b^{2} f e^{c} + a b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"(b*f - (a*d*f*x*e^(3*c) + (d*e - f)*a*e^(3*c))*e^(3*d*x) - (2*b*d*f*x*e^(2*c) + (2*d*e - f)*b*e^(2*c))*e^(2*d*x) + (a*d*f*x*e^c + (d*e + f)*a*e^c)*e^(d*x))/(a^2*d^2*e^2 + b^2*d^2*e^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + b^2*d^2*e*f)*x + (a^2*d^2*e^2*e^(4*c) + b^2*d^2*e^2*e^(4*c) + (a^2*d^2*f^2*e^(4*c) + b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^2*d^2*e*f*e^(4*c) + b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + 2*(a^2*d^2*e^2*e^(2*c) + b^2*d^2*e^2*e^(2*c) + (a^2*d^2*f^2*e^(2*c) + b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^2*d^2*e*f*e^(2*c) + b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) + 2*integrate(1/2*(2*a^2*b*d^2*f^2*x^2 + 4*a^2*b*d^2*e*f*x + 2*b^3*f^2 + 2*(d^2*e^2 + f^2)*a^2*b + ((d^2*e^2 + 2*f^2)*a^3*e^c - (d^2*e^2 - 2*f^2)*a*b^2*e^c + (a^3*d^2*f^2*e^c - a*b^2*d^2*f^2*e^c)*x^2 + 2*(a^3*d^2*e*f*e^c - a*b^2*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x) - 2*integrate(-(a^3*b*e^(d*x + c) - a^2*b^2)/(a^4*b*e + 2*a^2*b^3*e + b^5*e + (a^4*b*f + 2*a^2*b^3*f + b^5*f)*x - (a^4*b*e*e^(2*c) + 2*a^2*b^3*e*e^(2*c) + b^5*e*e^(2*c) + (a^4*b*f*e^(2*c) + 2*a^2*b^3*f*e^(2*c) + b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*e*e^c + 2*a^3*b^2*e*e^c + a*b^4*e*e^c + (a^5*f*e^c + 2*a^3*b^2*f*e^c + a*b^4*f*e^c)*x)*e^(d*x)), x)","F",0
391,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{3} {\left(\frac{24 \, {\left(d x + c\right)} a^{3}}{b^{4} d} + \frac{24 \, a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d} + \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d}\right)} - \frac{{\left(216 \, a^{3} d^{4} f^{3} x^{4} e^{\left(3 \, c\right)} + 864 \, a^{3} d^{4} e f^{2} x^{3} e^{\left(3 \, c\right)} + 1296 \, a^{3} d^{4} e^{2} f x^{2} e^{\left(3 \, c\right)} - 4 \, {\left(9 \, b^{3} d^{3} f^{3} x^{3} e^{\left(6 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{3} x^{2} e^{\left(6 \, c\right)} + 3 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} x e^{\left(6 \, c\right)} - {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(4 \, a b^{2} d^{3} f^{3} x^{3} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{2} x^{2} e^{\left(5 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{2} x e^{\left(5 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 108 \, {\left(12 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d^{3} f^{3} e^{\left(4 \, c\right)} - b^{3} d^{3} f^{3} e^{\left(4 \, c\right)}\right)} x^{3} - 3 \, {\left(4 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} - {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x^{2} - 3 \, {\left(4 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b e^{\left(4 \, c\right)} - {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 108 \, {\left(12 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d^{3} f^{3} e^{\left(2 \, c\right)} - b^{3} d^{3} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(4 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} - {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(4 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b e^{\left(2 \, c\right)} - {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 27 \, {\left(4 \, a b^{2} d^{3} f^{3} x^{3} e^{c} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{2} x^{2} e^{c} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{2} x e^{c} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} + 4 \, {\left(9 \, b^{3} d^{3} f^{3} x^{3} + 9 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{3} x^{2} + 3 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{3} x + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{864 \, b^{4} d^{4}} + \int -\frac{2 \, {\left(a^{3} b f^{3} x^{3} + 3 \, a^{3} b e f^{2} x^{2} + 3 \, a^{3} b e^{2} f x - {\left(a^{4} f^{3} x^{3} e^{c} + 3 \, a^{4} e f^{2} x^{2} e^{c} + 3 \, a^{4} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}"," ",0,"-1/24*e^3*(24*(d*x + c)*a^3/(b^4*d) + 24*a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d) + (3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 - b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 - b^2)*e^(-d*x - c))/(b^3*d)) - 1/864*(216*a^3*d^4*f^3*x^4*e^(3*c) + 864*a^3*d^4*e*f^2*x^3*e^(3*c) + 1296*a^3*d^4*e^2*f*x^2*e^(3*c) - 4*(9*b^3*d^3*f^3*x^3*e^(6*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*b^3*x^2*e^(6*c) + 3*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*b^3*x*e^(6*c) - (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*b^3*e^(6*c))*e^(3*d*x) + 27*(4*a*b^2*d^3*f^3*x^3*e^(5*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*a*b^2*x^2*e^(5*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a*b^2*x*e^(5*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a*b^2*e^(5*c))*e^(2*d*x) + 108*(12*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^2*b*e^(4*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b^3*e^(4*c) - (4*a^2*b*d^3*f^3*e^(4*c) - b^3*d^3*f^3*e^(4*c))*x^3 - 3*(4*(d^3*e*f^2 - d^2*f^3)*a^2*b*e^(4*c) - (d^3*e*f^2 - d^2*f^3)*b^3*e^(4*c))*x^2 - 3*(4*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^2*b*e^(4*c) - (d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b^3*e^(4*c))*x)*e^(d*x) + 108*(12*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^2*b*e^(2*c) - 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b^3*e^(2*c) + (4*a^2*b*d^3*f^3*e^(2*c) - b^3*d^3*f^3*e^(2*c))*x^3 + 3*(4*(d^3*e*f^2 + d^2*f^3)*a^2*b*e^(2*c) - (d^3*e*f^2 + d^2*f^3)*b^3*e^(2*c))*x^2 + 3*(4*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^2*b*e^(2*c) - (d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b^3*e^(2*c))*x)*e^(-d*x) + 27*(4*a*b^2*d^3*f^3*x^3*e^c + 6*(2*d^3*e*f^2 + d^2*f^3)*a*b^2*x^2*e^c + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a*b^2*x*e^c + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a*b^2*e^c)*e^(-2*d*x) + 4*(9*b^3*d^3*f^3*x^3 + 9*(3*d^3*e*f^2 + d^2*f^3)*b^3*x^2 + 3*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*b^3*x + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^4) + integrate(-2*(a^3*b*f^3*x^3 + 3*a^3*b*e*f^2*x^2 + 3*a^3*b*e^2*f*x - (a^4*f^3*x^3*e^c + 3*a^4*e*f^2*x^2*e^c + 3*a^4*e^2*f*x*e^c)*e^(d*x))/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x)","F",0
392,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e^{2} {\left(\frac{24 \, {\left(d x + c\right)} a^{3}}{b^{4} d} + \frac{24 \, a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d} + \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d}\right)} - \frac{{\left(144 \, a^{3} d^{3} f^{2} x^{3} e^{\left(3 \, c\right)} + 432 \, a^{3} d^{3} e f x^{2} e^{\left(3 \, c\right)} - 2 \, {\left(9 \, b^{3} d^{2} f^{2} x^{2} e^{\left(6 \, c\right)} + 6 \, {\left(3 \, d^{2} e f - d f^{2}\right)} b^{3} x e^{\left(6 \, c\right)} - 2 \, {\left(3 \, d e f - f^{2}\right)} b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 27 \, {\left(2 \, a b^{2} d^{2} f^{2} x^{2} e^{\left(5 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a b^{2} x e^{\left(5 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 54 \, {\left(8 \, {\left(d e f - f^{2}\right)} a^{2} b e^{\left(4 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d^{2} f^{2} e^{\left(4 \, c\right)} - b^{3} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} - 2 \, {\left(4 \, {\left(d^{2} e f - d f^{2}\right)} a^{2} b e^{\left(4 \, c\right)} - {\left(d^{2} e f - d f^{2}\right)} b^{3} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 54 \, {\left(8 \, {\left(d e f + f^{2}\right)} a^{2} b e^{\left(2 \, c\right)} - 2 \, {\left(d e f + f^{2}\right)} b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d^{2} f^{2} e^{\left(2 \, c\right)} - b^{3} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(4 \, {\left(d^{2} e f + d f^{2}\right)} a^{2} b e^{\left(2 \, c\right)} - {\left(d^{2} e f + d f^{2}\right)} b^{3} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 27 \, {\left(2 \, a b^{2} d^{2} f^{2} x^{2} e^{c} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a b^{2} x e^{c} + {\left(2 \, d e f + f^{2}\right)} a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} + 2 \, {\left(9 \, b^{3} d^{2} f^{2} x^{2} + 6 \, {\left(3 \, d^{2} e f + d f^{2}\right)} b^{3} x + 2 \, {\left(3 \, d e f + f^{2}\right)} b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{432 \, b^{4} d^{3}} + \int -\frac{2 \, {\left(a^{3} b f^{2} x^{2} + 2 \, a^{3} b e f x - {\left(a^{4} f^{2} x^{2} e^{c} + 2 \, a^{4} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}"," ",0,"-1/24*e^2*(24*(d*x + c)*a^3/(b^4*d) + 24*a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d) + (3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 - b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 - b^2)*e^(-d*x - c))/(b^3*d)) - 1/432*(144*a^3*d^3*f^2*x^3*e^(3*c) + 432*a^3*d^3*e*f*x^2*e^(3*c) - 2*(9*b^3*d^2*f^2*x^2*e^(6*c) + 6*(3*d^2*e*f - d*f^2)*b^3*x*e^(6*c) - 2*(3*d*e*f - f^2)*b^3*e^(6*c))*e^(3*d*x) + 27*(2*a*b^2*d^2*f^2*x^2*e^(5*c) + 2*(2*d^2*e*f - d*f^2)*a*b^2*x*e^(5*c) - (2*d*e*f - f^2)*a*b^2*e^(5*c))*e^(2*d*x) + 54*(8*(d*e*f - f^2)*a^2*b*e^(4*c) - 2*(d*e*f - f^2)*b^3*e^(4*c) - (4*a^2*b*d^2*f^2*e^(4*c) - b^3*d^2*f^2*e^(4*c))*x^2 - 2*(4*(d^2*e*f - d*f^2)*a^2*b*e^(4*c) - (d^2*e*f - d*f^2)*b^3*e^(4*c))*x)*e^(d*x) + 54*(8*(d*e*f + f^2)*a^2*b*e^(2*c) - 2*(d*e*f + f^2)*b^3*e^(2*c) + (4*a^2*b*d^2*f^2*e^(2*c) - b^3*d^2*f^2*e^(2*c))*x^2 + 2*(4*(d^2*e*f + d*f^2)*a^2*b*e^(2*c) - (d^2*e*f + d*f^2)*b^3*e^(2*c))*x)*e^(-d*x) + 27*(2*a*b^2*d^2*f^2*x^2*e^c + 2*(2*d^2*e*f + d*f^2)*a*b^2*x*e^c + (2*d*e*f + f^2)*a*b^2*e^c)*e^(-2*d*x) + 2*(9*b^3*d^2*f^2*x^2 + 6*(3*d^2*e*f + d*f^2)*b^3*x + 2*(3*d*e*f + f^2)*b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^3) + integrate(-2*(a^3*b*f^2*x^2 + 2*a^3*b*e*f*x - (a^4*f^2*x^2*e^c + 2*a^4*e*f*x*e^c)*e^(d*x))/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x)","F",0
393,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{24} \, e {\left(\frac{24 \, {\left(d x + c\right)} a^{3}}{b^{4} d} + \frac{24 \, a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d} + \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{b^{3} d} + \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-d x - c\right)}}{b^{3} d}\right)} - \frac{1}{144} \, f {\left(\frac{{\left(72 \, a^{3} d^{2} x^{2} e^{\left(3 \, c\right)} - 2 \, {\left(3 \, b^{3} d x e^{\left(6 \, c\right)} - b^{3} e^{\left(6 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 9 \, {\left(2 \, a b^{2} d x e^{\left(5 \, c\right)} - a b^{2} e^{\left(5 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 18 \, {\left(4 \, a^{2} b e^{\left(4 \, c\right)} - b^{3} e^{\left(4 \, c\right)} - {\left(4 \, a^{2} b d e^{\left(4 \, c\right)} - b^{3} d e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 18 \, {\left(4 \, a^{2} b e^{\left(2 \, c\right)} - b^{3} e^{\left(2 \, c\right)} + {\left(4 \, a^{2} b d e^{\left(2 \, c\right)} - b^{3} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 9 \, {\left(2 \, a b^{2} d x e^{c} + a b^{2} e^{c}\right)} e^{\left(-2 \, d x\right)} + 2 \, {\left(3 \, b^{3} d x + b^{3}\right)} e^{\left(-3 \, d x\right)}\right)} e^{\left(-3 \, c\right)}}{b^{4} d^{2}} - 9 \, \int \frac{32 \, {\left(a^{4} x e^{\left(d x + c\right)} - a^{3} b x\right)}}{b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{4} e^{\left(d x + c\right)} - b^{5}}\,{d x}\right)}"," ",0,"-1/24*e*(24*(d*x + c)*a^3/(b^4*d) + 24*a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d) + (3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 - b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) + (3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 - b^2)*e^(-d*x - c))/(b^3*d)) - 1/144*f*((72*a^3*d^2*x^2*e^(3*c) - 2*(3*b^3*d*x*e^(6*c) - b^3*e^(6*c))*e^(3*d*x) + 9*(2*a*b^2*d*x*e^(5*c) - a*b^2*e^(5*c))*e^(2*d*x) + 18*(4*a^2*b*e^(4*c) - b^3*e^(4*c) - (4*a^2*b*d*e^(4*c) - b^3*d*e^(4*c))*x)*e^(d*x) + 18*(4*a^2*b*e^(2*c) - b^3*e^(2*c) + (4*a^2*b*d*e^(2*c) - b^3*d*e^(2*c))*x)*e^(-d*x) + 9*(2*a*b^2*d*x*e^c + a*b^2*e^c)*e^(-2*d*x) + 2*(3*b^3*d*x + b^3)*e^(-3*d*x))*e^(-3*c)/(b^4*d^2) - 9*integrate(32*(a^4*x*e^(d*x + c) - a^3*b*x)/(b^5*e^(2*d*x + 2*c) + 2*a*b^4*e^(d*x + c) - b^5), x))","F",0
394,1,171,0,0.454088," ","integrate(cosh(d*x+c)*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} a^{3}}{b^{4} d} - \frac{a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{4} d} - \frac{{\left(3 \, a b e^{\left(-d x - c\right)} - b^{2} - 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{24 \, b^{3} d} - \frac{3 \, a b e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, {\left(4 \, a^{2} - b^{2}\right)} e^{\left(-d x - c\right)}}{24 \, b^{3} d}"," ",0,"-(d*x + c)*a^3/(b^4*d) - a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^4*d) - 1/24*(3*a*b*e^(-d*x - c) - b^2 - 3*(4*a^2 - b^2)*e^(-2*d*x - 2*c))*e^(3*d*x + 3*c)/(b^3*d) - 1/24*(3*a*b*e^(-2*d*x - 2*c) + b^2*e^(-3*d*x - 3*c) + 3*(4*a^2 - b^2)*e^(-d*x - c))/(b^3*d)","B",0
395,0,0,0,0.000000," ","integrate(cosh(d*x+c)*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-3 \, c + \frac{3 \, d e}{f}\right)} E_{1}\left(\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b f} - \frac{a e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{2} f} + \frac{a e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{2} f} - \frac{e^{\left(3 \, c - \frac{3 \, d e}{f}\right)} E_{1}\left(-\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b f} - \frac{{\left(4 \, a^{2} - b^{2}\right)} e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{{\left(4 \, a^{2} e^{c} - b^{2} e^{c}\right)} e^{\left(-\frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{3} f} - \frac{a^{3} \log\left(f x + e\right)}{b^{4} f} + \frac{1}{16} \, \int -\frac{32 \, {\left(a^{4} e^{\left(d x + c\right)} - a^{3} b\right)}}{b^{5} f x + b^{5} e - {\left(b^{5} f x e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{4} f x e^{c} + a b^{4} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-1/8*e^(-3*c + 3*d*e/f)*exp_integral_e(1, 3*(f*x + e)*d/f)/(b*f) - 1/4*a*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b^2*f) + 1/4*a*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b^2*f) - 1/8*e^(3*c - 3*d*e/f)*exp_integral_e(1, -3*(f*x + e)*d/f)/(b*f) - 1/8*(4*a^2 - b^2)*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^3*f) - 1/8*(4*a^2*e^c - b^2*e^c)*e^(-d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^3*f) - a^3*log(f*x + e)/(b^4*f) + 1/16*integrate(-32*(a^4*e^(d*x + c) - a^3*b)/(b^5*f*x + b^5*e - (b^5*f*x*e^(2*c) + b^5*e*e^(2*c))*e^(2*d*x) - 2*(a*b^4*f*x*e^c + a*b^4*e*e^c)*e^(d*x)), x)","F",0
396,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{192} \, e^{3} {\left(\frac{192 \, \sqrt{a^{2} + b^{2}} a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{5} d} + \frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, b^{3} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{b^{4} d} - \frac{24 \, {\left(8 \, a^{4} + 4 \, a^{2} b^{2} - b^{4}\right)} {\left(d x + c\right)}}{b^{5} d} + \frac{24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)}}{b^{4} d}\right)} + \frac{{\left(1728 \, {\left(8 \, a^{4} d^{4} f^{3} e^{\left(4 \, c\right)} + 4 \, a^{2} b^{2} d^{4} f^{3} e^{\left(4 \, c\right)} - b^{4} d^{4} f^{3} e^{\left(4 \, c\right)}\right)} x^{4} + 6912 \, {\left(8 \, a^{4} d^{4} e f^{2} e^{\left(4 \, c\right)} + 4 \, a^{2} b^{2} d^{4} e f^{2} e^{\left(4 \, c\right)} - b^{4} d^{4} e f^{2} e^{\left(4 \, c\right)}\right)} x^{3} + 10368 \, {\left(8 \, a^{4} d^{4} e^{2} f e^{\left(4 \, c\right)} + 4 \, a^{2} b^{2} d^{4} e^{2} f e^{\left(4 \, c\right)} - b^{4} d^{4} e^{2} f e^{\left(4 \, c\right)}\right)} x^{2} + 27 \, {\left(32 \, b^{4} d^{3} f^{3} x^{3} e^{\left(8 \, c\right)} + 24 \, {\left(4 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{4} x^{2} e^{\left(8 \, c\right)} + 12 \, {\left(8 \, d^{3} e^{2} f - 4 \, d^{2} e f^{2} + d f^{3}\right)} b^{4} x e^{\left(8 \, c\right)} - 3 \, {\left(8 \, d^{2} e^{2} f - 4 \, d e f^{2} + f^{3}\right)} b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 256 \, {\left(9 \, a b^{3} d^{3} f^{3} x^{3} e^{\left(7 \, c\right)} + 9 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{3} x^{2} e^{\left(7 \, c\right)} + 3 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} x e^{\left(7 \, c\right)} - {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 1728 \, {\left(4 \, a^{2} b^{2} d^{3} f^{3} x^{3} e^{\left(6 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b^{2} x^{2} e^{\left(6 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} b^{2} x e^{\left(6 \, c\right)} - 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a^{2} b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 6912 \, {\left(12 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} b e^{\left(5 \, c\right)} + 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{\left(5 \, c\right)} - {\left(4 \, a^{3} b d^{3} f^{3} e^{\left(5 \, c\right)} + a b^{3} d^{3} f^{3} e^{\left(5 \, c\right)}\right)} x^{3} - 3 \, {\left(4 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{3} b e^{\left(5 \, c\right)} + {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{3} e^{\left(5 \, c\right)}\right)} x^{2} - 3 \, {\left(4 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} b e^{\left(5 \, c\right)} + {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - 6912 \, {\left(12 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{3} b e^{\left(3 \, c\right)} + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{\left(3 \, c\right)} + {\left(4 \, a^{3} b d^{3} f^{3} e^{\left(3 \, c\right)} + a b^{3} d^{3} f^{3} e^{\left(3 \, c\right)}\right)} x^{3} + 3 \, {\left(4 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{3} b e^{\left(3 \, c\right)} + {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{3} e^{\left(3 \, c\right)}\right)} x^{2} + 3 \, {\left(4 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{3} b e^{\left(3 \, c\right)} + {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} - 1728 \, {\left(4 \, a^{2} b^{2} d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 6 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b^{2} x^{2} e^{\left(2 \, c\right)} + 6 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{2} b^{2} x e^{\left(2 \, c\right)} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, d x\right)} - 256 \, {\left(9 \, a b^{3} d^{3} f^{3} x^{3} e^{c} + 9 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{3} x^{2} e^{c} + 3 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a b^{3} x e^{c} + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} a b^{3} e^{c}\right)} e^{\left(-3 \, d x\right)} - 27 \, {\left(32 \, b^{4} d^{3} f^{3} x^{3} + 24 \, {\left(4 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{4} x^{2} + 12 \, {\left(8 \, d^{3} e^{2} f + 4 \, d^{2} e f^{2} + d f^{3}\right)} b^{4} x + 3 \, {\left(8 \, d^{2} e^{2} f + 4 \, d e f^{2} + f^{3}\right)} b^{4}\right)} e^{\left(-4 \, d x\right)}\right)} e^{\left(-4 \, c\right)}}{55296 \, b^{5} d^{4}} - \int \frac{2 \, {\left({\left(a^{5} f^{3} e^{c} + a^{3} b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{5} e f^{2} e^{c} + a^{3} b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{5} e^{2} f e^{c} + a^{3} b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{5} e^{\left(d x + c\right)} - b^{6}}\,{d x}"," ",0,"-1/192*e^3*(192*sqrt(a^2 + b^2)*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^5*d) + (8*a*b^2*e^(-d*x - c) - 24*a^2*b*e^(-2*d*x - 2*c) - 3*b^3 + 24*(4*a^3 + a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) - 24*(8*a^4 + 4*a^2*b^2 - b^4)*(d*x + c)/(b^5*d) + (24*a^2*b*e^(-2*d*x - 2*c) + 8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + a*b^2)*e^(-d*x - c))/(b^4*d)) + 1/55296*(1728*(8*a^4*d^4*f^3*e^(4*c) + 4*a^2*b^2*d^4*f^3*e^(4*c) - b^4*d^4*f^3*e^(4*c))*x^4 + 6912*(8*a^4*d^4*e*f^2*e^(4*c) + 4*a^2*b^2*d^4*e*f^2*e^(4*c) - b^4*d^4*e*f^2*e^(4*c))*x^3 + 10368*(8*a^4*d^4*e^2*f*e^(4*c) + 4*a^2*b^2*d^4*e^2*f*e^(4*c) - b^4*d^4*e^2*f*e^(4*c))*x^2 + 27*(32*b^4*d^3*f^3*x^3*e^(8*c) + 24*(4*d^3*e*f^2 - d^2*f^3)*b^4*x^2*e^(8*c) + 12*(8*d^3*e^2*f - 4*d^2*e*f^2 + d*f^3)*b^4*x*e^(8*c) - 3*(8*d^2*e^2*f - 4*d*e*f^2 + f^3)*b^4*e^(8*c))*e^(4*d*x) - 256*(9*a*b^3*d^3*f^3*x^3*e^(7*c) + 9*(3*d^3*e*f^2 - d^2*f^3)*a*b^3*x^2*e^(7*c) + 3*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*a*b^3*x*e^(7*c) - (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*a*b^3*e^(7*c))*e^(3*d*x) + 1728*(4*a^2*b^2*d^3*f^3*x^3*e^(6*c) + 6*(2*d^3*e*f^2 - d^2*f^3)*a^2*b^2*x^2*e^(6*c) + 6*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a^2*b^2*x*e^(6*c) - 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a^2*b^2*e^(6*c))*e^(2*d*x) + 6912*(12*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^3*b*e^(5*c) + 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a*b^3*e^(5*c) - (4*a^3*b*d^3*f^3*e^(5*c) + a*b^3*d^3*f^3*e^(5*c))*x^3 - 3*(4*(d^3*e*f^2 - d^2*f^3)*a^3*b*e^(5*c) + (d^3*e*f^2 - d^2*f^3)*a*b^3*e^(5*c))*x^2 - 3*(4*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^3*b*e^(5*c) + (d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a*b^3*e^(5*c))*x)*e^(d*x) - 6912*(12*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^3*b*e^(3*c) + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a*b^3*e^(3*c) + (4*a^3*b*d^3*f^3*e^(3*c) + a*b^3*d^3*f^3*e^(3*c))*x^3 + 3*(4*(d^3*e*f^2 + d^2*f^3)*a^3*b*e^(3*c) + (d^3*e*f^2 + d^2*f^3)*a*b^3*e^(3*c))*x^2 + 3*(4*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^3*b*e^(3*c) + (d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a*b^3*e^(3*c))*x)*e^(-d*x) - 1728*(4*a^2*b^2*d^3*f^3*x^3*e^(2*c) + 6*(2*d^3*e*f^2 + d^2*f^3)*a^2*b^2*x^2*e^(2*c) + 6*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a^2*b^2*x*e^(2*c) + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a^2*b^2*e^(2*c))*e^(-2*d*x) - 256*(9*a*b^3*d^3*f^3*x^3*e^c + 9*(3*d^3*e*f^2 + d^2*f^3)*a*b^3*x^2*e^c + 3*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*a*b^3*x*e^c + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*a*b^3*e^c)*e^(-3*d*x) - 27*(32*b^4*d^3*f^3*x^3 + 24*(4*d^3*e*f^2 + d^2*f^3)*b^4*x^2 + 12*(8*d^3*e^2*f + 4*d^2*e*f^2 + d*f^3)*b^4*x + 3*(8*d^2*e^2*f + 4*d*e*f^2 + f^3)*b^4)*e^(-4*d*x))*e^(-4*c)/(b^5*d^4) - integrate(2*((a^5*f^3*e^c + a^3*b^2*f^3*e^c)*x^3 + 3*(a^5*e*f^2*e^c + a^3*b^2*e*f^2*e^c)*x^2 + 3*(a^5*e^2*f*e^c + a^3*b^2*e^2*f*e^c)*x)*e^(d*x)/(b^6*e^(2*d*x + 2*c) + 2*a*b^5*e^(d*x + c) - b^6), x)","F",0
397,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{192} \, e^{2} {\left(\frac{192 \, \sqrt{a^{2} + b^{2}} a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{5} d} + \frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, b^{3} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{b^{4} d} - \frac{24 \, {\left(8 \, a^{4} + 4 \, a^{2} b^{2} - b^{4}\right)} {\left(d x + c\right)}}{b^{5} d} + \frac{24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)}}{b^{4} d}\right)} + \frac{{\left(576 \, {\left(8 \, a^{4} d^{3} f^{2} e^{\left(4 \, c\right)} + 4 \, a^{2} b^{2} d^{3} f^{2} e^{\left(4 \, c\right)} - b^{4} d^{3} f^{2} e^{\left(4 \, c\right)}\right)} x^{3} + 1728 \, {\left(8 \, a^{4} d^{3} e f e^{\left(4 \, c\right)} + 4 \, a^{2} b^{2} d^{3} e f e^{\left(4 \, c\right)} - b^{4} d^{3} e f e^{\left(4 \, c\right)}\right)} x^{2} + 27 \, {\left(8 \, b^{4} d^{2} f^{2} x^{2} e^{\left(8 \, c\right)} + 4 \, {\left(4 \, d^{2} e f - d f^{2}\right)} b^{4} x e^{\left(8 \, c\right)} - {\left(4 \, d e f - f^{2}\right)} b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 64 \, {\left(9 \, a b^{3} d^{2} f^{2} x^{2} e^{\left(7 \, c\right)} + 6 \, {\left(3 \, d^{2} e f - d f^{2}\right)} a b^{3} x e^{\left(7 \, c\right)} - 2 \, {\left(3 \, d e f - f^{2}\right)} a b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 864 \, {\left(2 \, a^{2} b^{2} d^{2} f^{2} x^{2} e^{\left(6 \, c\right)} + 2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a^{2} b^{2} x e^{\left(6 \, c\right)} - {\left(2 \, d e f - f^{2}\right)} a^{2} b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 1728 \, {\left(8 \, {\left(d e f - f^{2}\right)} a^{3} b e^{\left(5 \, c\right)} + 2 \, {\left(d e f - f^{2}\right)} a b^{3} e^{\left(5 \, c\right)} - {\left(4 \, a^{3} b d^{2} f^{2} e^{\left(5 \, c\right)} + a b^{3} d^{2} f^{2} e^{\left(5 \, c\right)}\right)} x^{2} - 2 \, {\left(4 \, {\left(d^{2} e f - d f^{2}\right)} a^{3} b e^{\left(5 \, c\right)} + {\left(d^{2} e f - d f^{2}\right)} a b^{3} e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - 1728 \, {\left(8 \, {\left(d e f + f^{2}\right)} a^{3} b e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} a b^{3} e^{\left(3 \, c\right)} + {\left(4 \, a^{3} b d^{2} f^{2} e^{\left(3 \, c\right)} + a b^{3} d^{2} f^{2} e^{\left(3 \, c\right)}\right)} x^{2} + 2 \, {\left(4 \, {\left(d^{2} e f + d f^{2}\right)} a^{3} b e^{\left(3 \, c\right)} + {\left(d^{2} e f + d f^{2}\right)} a b^{3} e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} - 864 \, {\left(2 \, a^{2} b^{2} d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a^{2} b^{2} x e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, d x\right)} - 64 \, {\left(9 \, a b^{3} d^{2} f^{2} x^{2} e^{c} + 6 \, {\left(3 \, d^{2} e f + d f^{2}\right)} a b^{3} x e^{c} + 2 \, {\left(3 \, d e f + f^{2}\right)} a b^{3} e^{c}\right)} e^{\left(-3 \, d x\right)} - 27 \, {\left(8 \, b^{4} d^{2} f^{2} x^{2} + 4 \, {\left(4 \, d^{2} e f + d f^{2}\right)} b^{4} x + {\left(4 \, d e f + f^{2}\right)} b^{4}\right)} e^{\left(-4 \, d x\right)}\right)} e^{\left(-4 \, c\right)}}{13824 \, b^{5} d^{3}} - \int \frac{2 \, {\left({\left(a^{5} f^{2} e^{c} + a^{3} b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{5} e f e^{c} + a^{3} b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{5} e^{\left(d x + c\right)} - b^{6}}\,{d x}"," ",0,"-1/192*e^2*(192*sqrt(a^2 + b^2)*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^5*d) + (8*a*b^2*e^(-d*x - c) - 24*a^2*b*e^(-2*d*x - 2*c) - 3*b^3 + 24*(4*a^3 + a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) - 24*(8*a^4 + 4*a^2*b^2 - b^4)*(d*x + c)/(b^5*d) + (24*a^2*b*e^(-2*d*x - 2*c) + 8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + a*b^2)*e^(-d*x - c))/(b^4*d)) + 1/13824*(576*(8*a^4*d^3*f^2*e^(4*c) + 4*a^2*b^2*d^3*f^2*e^(4*c) - b^4*d^3*f^2*e^(4*c))*x^3 + 1728*(8*a^4*d^3*e*f*e^(4*c) + 4*a^2*b^2*d^3*e*f*e^(4*c) - b^4*d^3*e*f*e^(4*c))*x^2 + 27*(8*b^4*d^2*f^2*x^2*e^(8*c) + 4*(4*d^2*e*f - d*f^2)*b^4*x*e^(8*c) - (4*d*e*f - f^2)*b^4*e^(8*c))*e^(4*d*x) - 64*(9*a*b^3*d^2*f^2*x^2*e^(7*c) + 6*(3*d^2*e*f - d*f^2)*a*b^3*x*e^(7*c) - 2*(3*d*e*f - f^2)*a*b^3*e^(7*c))*e^(3*d*x) + 864*(2*a^2*b^2*d^2*f^2*x^2*e^(6*c) + 2*(2*d^2*e*f - d*f^2)*a^2*b^2*x*e^(6*c) - (2*d*e*f - f^2)*a^2*b^2*e^(6*c))*e^(2*d*x) + 1728*(8*(d*e*f - f^2)*a^3*b*e^(5*c) + 2*(d*e*f - f^2)*a*b^3*e^(5*c) - (4*a^3*b*d^2*f^2*e^(5*c) + a*b^3*d^2*f^2*e^(5*c))*x^2 - 2*(4*(d^2*e*f - d*f^2)*a^3*b*e^(5*c) + (d^2*e*f - d*f^2)*a*b^3*e^(5*c))*x)*e^(d*x) - 1728*(8*(d*e*f + f^2)*a^3*b*e^(3*c) + 2*(d*e*f + f^2)*a*b^3*e^(3*c) + (4*a^3*b*d^2*f^2*e^(3*c) + a*b^3*d^2*f^2*e^(3*c))*x^2 + 2*(4*(d^2*e*f + d*f^2)*a^3*b*e^(3*c) + (d^2*e*f + d*f^2)*a*b^3*e^(3*c))*x)*e^(-d*x) - 864*(2*a^2*b^2*d^2*f^2*x^2*e^(2*c) + 2*(2*d^2*e*f + d*f^2)*a^2*b^2*x*e^(2*c) + (2*d*e*f + f^2)*a^2*b^2*e^(2*c))*e^(-2*d*x) - 64*(9*a*b^3*d^2*f^2*x^2*e^c + 6*(3*d^2*e*f + d*f^2)*a*b^3*x*e^c + 2*(3*d*e*f + f^2)*a*b^3*e^c)*e^(-3*d*x) - 27*(8*b^4*d^2*f^2*x^2 + 4*(4*d^2*e*f + d*f^2)*b^4*x + (4*d*e*f + f^2)*b^4)*e^(-4*d*x))*e^(-4*c)/(b^5*d^3) - integrate(2*((a^5*f^2*e^c + a^3*b^2*f^2*e^c)*x^2 + 2*(a^5*e*f*e^c + a^3*b^2*e*f*e^c)*x)*e^(d*x)/(b^6*e^(2*d*x + 2*c) + 2*a*b^5*e^(d*x + c) - b^6), x)","F",0
398,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2304} \, {\left(4608 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{5} e^{\left(d x + c\right)} - b^{6}}\,{d x} - \frac{{\left(144 \, {\left(8 \, a^{4} d^{2} e^{\left(4 \, c\right)} + 4 \, a^{2} b^{2} d^{2} e^{\left(4 \, c\right)} - b^{4} d^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 9 \, {\left(4 \, b^{4} d x e^{\left(8 \, c\right)} - b^{4} e^{\left(8 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 32 \, {\left(3 \, a b^{3} d x e^{\left(7 \, c\right)} - a b^{3} e^{\left(7 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 144 \, {\left(2 \, a^{2} b^{2} d x e^{\left(6 \, c\right)} - a^{2} b^{2} e^{\left(6 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 288 \, {\left(4 \, a^{3} b e^{\left(5 \, c\right)} + a b^{3} e^{\left(5 \, c\right)} - {\left(4 \, a^{3} b d e^{\left(5 \, c\right)} + a b^{3} d e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(d x\right)} - 288 \, {\left(4 \, a^{3} b e^{\left(3 \, c\right)} + a b^{3} e^{\left(3 \, c\right)} + {\left(4 \, a^{3} b d e^{\left(3 \, c\right)} + a b^{3} d e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} - 144 \, {\left(2 \, a^{2} b^{2} d x e^{\left(2 \, c\right)} + a^{2} b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, d x\right)} - 32 \, {\left(3 \, a b^{3} d x e^{c} + a b^{3} e^{c}\right)} e^{\left(-3 \, d x\right)} - 9 \, {\left(4 \, b^{4} d x + b^{4}\right)} e^{\left(-4 \, d x\right)}\right)} e^{\left(-4 \, c\right)}}{b^{5} d^{2}}\right)} f - \frac{1}{192} \, e {\left(\frac{192 \, \sqrt{a^{2} + b^{2}} a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{5} d} + \frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, b^{3} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{b^{4} d} - \frac{24 \, {\left(8 \, a^{4} + 4 \, a^{2} b^{2} - b^{4}\right)} {\left(d x + c\right)}}{b^{5} d} + \frac{24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)}}{b^{4} d}\right)}"," ",0,"-1/2304*(4608*(a^5*e^c + a^3*b^2*e^c)*integrate(x*e^(d*x)/(b^6*e^(2*d*x + 2*c) + 2*a*b^5*e^(d*x + c) - b^6), x) - (144*(8*a^4*d^2*e^(4*c) + 4*a^2*b^2*d^2*e^(4*c) - b^4*d^2*e^(4*c))*x^2 + 9*(4*b^4*d*x*e^(8*c) - b^4*e^(8*c))*e^(4*d*x) - 32*(3*a*b^3*d*x*e^(7*c) - a*b^3*e^(7*c))*e^(3*d*x) + 144*(2*a^2*b^2*d*x*e^(6*c) - a^2*b^2*e^(6*c))*e^(2*d*x) + 288*(4*a^3*b*e^(5*c) + a*b^3*e^(5*c) - (4*a^3*b*d*e^(5*c) + a*b^3*d*e^(5*c))*x)*e^(d*x) - 288*(4*a^3*b*e^(3*c) + a*b^3*e^(3*c) + (4*a^3*b*d*e^(3*c) + a*b^3*d*e^(3*c))*x)*e^(-d*x) - 144*(2*a^2*b^2*d*x*e^(2*c) + a^2*b^2*e^(2*c))*e^(-2*d*x) - 32*(3*a*b^3*d*x*e^c + a*b^3*e^c)*e^(-3*d*x) - 9*(4*b^4*d*x + b^4)*e^(-4*d*x))*e^(-4*c)/(b^5*d^2))*f - 1/192*e*(192*sqrt(a^2 + b^2)*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^5*d) + (8*a*b^2*e^(-d*x - c) - 24*a^2*b*e^(-2*d*x - 2*c) - 3*b^3 + 24*(4*a^3 + a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) - 24*(8*a^4 + 4*a^2*b^2 - b^4)*(d*x + c)/(b^5*d) + (24*a^2*b*e^(-2*d*x - 2*c) + 8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + a*b^2)*e^(-d*x - c))/(b^4*d))","F",0
399,1,257,0,0.525498," ","integrate(cosh(d*x+c)^2*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{\sqrt{a^{2} + b^{2}} a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{5} d} - \frac{{\left(8 \, a b^{2} e^{\left(-d x - c\right)} - 24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, b^{3} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)}\right)} e^{\left(4 \, d x + 4 \, c\right)}}{192 \, b^{4} d} + \frac{{\left(8 \, a^{4} + 4 \, a^{2} b^{2} - b^{4}\right)} {\left(d x + c\right)}}{8 \, b^{5} d} - \frac{24 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 8 \, a b^{2} e^{\left(-3 \, d x - 3 \, c\right)} + 3 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 24 \, {\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)}}{192 \, b^{4} d}"," ",0,"-sqrt(a^2 + b^2)*a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(b^5*d) - 1/192*(8*a*b^2*e^(-d*x - c) - 24*a^2*b*e^(-2*d*x - 2*c) - 3*b^3 + 24*(4*a^3 + a*b^2)*e^(-3*d*x - 3*c))*e^(4*d*x + 4*c)/(b^4*d) + 1/8*(8*a^4 + 4*a^2*b^2 - b^4)*(d*x + c)/(b^5*d) - 1/192*(24*a^2*b*e^(-2*d*x - 2*c) + 8*a*b^2*e^(-3*d*x - 3*c) + 3*b^3*e^(-4*d*x - 4*c) + 24*(4*a^3 + a*b^2)*e^(-d*x - c))/(b^4*d)","A",0
400,0,0,0,0.000000," ","integrate(cosh(d*x+c)^2*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{b^{6} f x + b^{6} e - {\left(b^{6} f x e^{\left(2 \, c\right)} + b^{6} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{5} f x e^{c} + a b^{5} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{e^{\left(-4 \, c + \frac{4 \, d e}{f}\right)} E_{1}\left(\frac{4 \, {\left(f x + e\right)} d}{f}\right)}{16 \, b f} - \frac{a e^{\left(-3 \, c + \frac{3 \, d e}{f}\right)} E_{1}\left(\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{2} f} - \frac{a^{2} e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{3} f} - \frac{a^{2} e^{\left(2 \, c - \frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{4 \, b^{3} f} + \frac{a e^{\left(3 \, c - \frac{3 \, d e}{f}\right)} E_{1}\left(-\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{2} f} - \frac{e^{\left(4 \, c - \frac{4 \, d e}{f}\right)} E_{1}\left(-\frac{4 \, {\left(f x + e\right)} d}{f}\right)}{16 \, b f} - \frac{{\left(4 \, a^{3} + a b^{2}\right)} e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{4} f} + \frac{{\left(4 \, a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(-\frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{8 \, b^{4} f} + \frac{{\left(8 \, a^{4} + 4 \, a^{2} b^{2} - b^{4}\right)} \log\left(f x + e\right)}{8 \, b^{5} f}"," ",0,"-2*(a^5*e^c + a^3*b^2*e^c)*integrate(-e^(d*x)/(b^6*f*x + b^6*e - (b^6*f*x*e^(2*c) + b^6*e*e^(2*c))*e^(2*d*x) - 2*(a*b^5*f*x*e^c + a*b^5*e*e^c)*e^(d*x)), x) - 1/16*e^(-4*c + 4*d*e/f)*exp_integral_e(1, 4*(f*x + e)*d/f)/(b*f) - 1/8*a*e^(-3*c + 3*d*e/f)*exp_integral_e(1, 3*(f*x + e)*d/f)/(b^2*f) - 1/4*a^2*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b^3*f) - 1/4*a^2*e^(2*c - 2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b^3*f) + 1/8*a*e^(3*c - 3*d*e/f)*exp_integral_e(1, -3*(f*x + e)*d/f)/(b^2*f) - 1/16*e^(4*c - 4*d*e/f)*exp_integral_e(1, -4*(f*x + e)*d/f)/(b*f) - 1/8*(4*a^3 + a*b^2)*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^4*f) + 1/8*(4*a^3*e^c + a*b^2*e^c)*e^(-d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^4*f) + 1/8*(8*a^4 + 4*a^2*b^2 - b^4)*log(f*x + e)/(b^5*f)","F",0
401,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{960} \, e^{3} {\left(\frac{{\left(15 \, a b^{3} e^{\left(-d x - c\right)} - 6 \, b^{4} - 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{b^{5} d} + \frac{960 \, {\left(a^{5} + a^{3} b^{2}\right)} {\left(d x + c\right)}}{b^{6} d} + \frac{15 \, a b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 6 \, b^{4} e^{\left(-5 \, d x - 5 \, c\right)} + 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-d x - c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{b^{5} d} + \frac{960 \, {\left(a^{5} + a^{3} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{6} d}\right)} - \frac{{\left(8640000 \, {\left(a^{5} d^{4} f^{3} e^{\left(5 \, c\right)} + a^{3} b^{2} d^{4} f^{3} e^{\left(5 \, c\right)}\right)} x^{4} + 34560000 \, {\left(a^{5} d^{4} e f^{2} e^{\left(5 \, c\right)} + a^{3} b^{2} d^{4} e f^{2} e^{\left(5 \, c\right)}\right)} x^{3} + 51840000 \, {\left(a^{5} d^{4} e^{2} f e^{\left(5 \, c\right)} + a^{3} b^{2} d^{4} e^{2} f e^{\left(5 \, c\right)}\right)} x^{2} - 1728 \, {\left(125 \, b^{5} d^{3} f^{3} x^{3} e^{\left(10 \, c\right)} + 75 \, {\left(5 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{5} x^{2} e^{\left(10 \, c\right)} + 15 \, {\left(25 \, d^{3} e^{2} f - 10 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{5} x e^{\left(10 \, c\right)} - 3 \, {\left(25 \, d^{2} e^{2} f - 10 \, d e f^{2} + 2 \, f^{3}\right)} b^{5} e^{\left(10 \, c\right)}\right)} e^{\left(5 \, d x\right)} + 16875 \, {\left(32 \, a b^{4} d^{3} f^{3} x^{3} e^{\left(9 \, c\right)} + 24 \, {\left(4 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{4} x^{2} e^{\left(9 \, c\right)} + 12 \, {\left(8 \, d^{3} e^{2} f - 4 \, d^{2} e f^{2} + d f^{3}\right)} a b^{4} x e^{\left(9 \, c\right)} - 3 \, {\left(8 \, d^{2} e^{2} f - 4 \, d e f^{2} + f^{3}\right)} a b^{4} e^{\left(9 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 40000 \, {\left(4 \, {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b^{3} e^{\left(8 \, c\right)} + {\left(9 \, d^{2} e^{2} f - 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{5} e^{\left(8 \, c\right)} - 9 \, {\left(4 \, a^{2} b^{3} d^{3} f^{3} e^{\left(8 \, c\right)} + b^{5} d^{3} f^{3} e^{\left(8 \, c\right)}\right)} x^{3} - 9 \, {\left(4 \, {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b^{3} e^{\left(8 \, c\right)} + {\left(3 \, d^{3} e f^{2} - d^{2} f^{3}\right)} b^{5} e^{\left(8 \, c\right)}\right)} x^{2} - 3 \, {\left(4 \, {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b^{3} e^{\left(8 \, c\right)} + {\left(9 \, d^{3} e^{2} f - 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{5} e^{\left(8 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - 540000 \, {\left(6 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a^{3} b^{2} e^{\left(7 \, c\right)} + 3 \, {\left(2 \, d^{2} e^{2} f - 2 \, d e f^{2} + f^{3}\right)} a b^{4} e^{\left(7 \, c\right)} - 4 \, {\left(2 \, a^{3} b^{2} d^{3} f^{3} e^{\left(7 \, c\right)} + a b^{4} d^{3} f^{3} e^{\left(7 \, c\right)}\right)} x^{3} - 6 \, {\left(2 \, {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a^{3} b^{2} e^{\left(7 \, c\right)} + {\left(2 \, d^{3} e f^{2} - d^{2} f^{3}\right)} a b^{4} e^{\left(7 \, c\right)}\right)} x^{2} - 6 \, {\left(2 \, {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{3} b^{2} e^{\left(7 \, c\right)} + {\left(2 \, d^{3} e^{2} f - 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{4} e^{\left(7 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + 2160000 \, {\left(24 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{4} b e^{\left(6 \, c\right)} + 18 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b^{3} e^{\left(6 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{5} e^{\left(6 \, c\right)} - {\left(8 \, a^{4} b d^{3} f^{3} e^{\left(6 \, c\right)} + 6 \, a^{2} b^{3} d^{3} f^{3} e^{\left(6 \, c\right)} - b^{5} d^{3} f^{3} e^{\left(6 \, c\right)}\right)} x^{3} - 3 \, {\left(8 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{4} b e^{\left(6 \, c\right)} + 6 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} a^{2} b^{3} e^{\left(6 \, c\right)} - {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b^{5} e^{\left(6 \, c\right)}\right)} x^{2} - 3 \, {\left(8 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{4} b e^{\left(6 \, c\right)} + 6 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b^{3} e^{\left(6 \, c\right)} - {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{5} e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 2160000 \, {\left(24 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{4} b e^{\left(4 \, c\right)} + 18 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b^{3} e^{\left(4 \, c\right)} - 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b^{5} e^{\left(4 \, c\right)} + {\left(8 \, a^{4} b d^{3} f^{3} e^{\left(4 \, c\right)} + 6 \, a^{2} b^{3} d^{3} f^{3} e^{\left(4 \, c\right)} - b^{5} d^{3} f^{3} e^{\left(4 \, c\right)}\right)} x^{3} + 3 \, {\left(8 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{4} b e^{\left(4 \, c\right)} + 6 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b^{3} e^{\left(4 \, c\right)} - {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b^{5} e^{\left(4 \, c\right)}\right)} x^{2} + 3 \, {\left(8 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{4} b e^{\left(4 \, c\right)} + 6 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b^{3} e^{\left(4 \, c\right)} - {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{5} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 540000 \, {\left(6 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a^{3} b^{2} e^{\left(3 \, c\right)} + 3 \, {\left(2 \, d^{2} e^{2} f + 2 \, d e f^{2} + f^{3}\right)} a b^{4} e^{\left(3 \, c\right)} + 4 \, {\left(2 \, a^{3} b^{2} d^{3} f^{3} e^{\left(3 \, c\right)} + a b^{4} d^{3} f^{3} e^{\left(3 \, c\right)}\right)} x^{3} + 6 \, {\left(2 \, {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{3} b^{2} e^{\left(3 \, c\right)} + {\left(2 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{4} e^{\left(3 \, c\right)}\right)} x^{2} + 6 \, {\left(2 \, {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a^{3} b^{2} e^{\left(3 \, c\right)} + {\left(2 \, d^{3} e^{2} f + 2 \, d^{2} e f^{2} + d f^{3}\right)} a b^{4} e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-2 \, d x\right)} + 40000 \, {\left(4 \, {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} a^{2} b^{3} e^{\left(2 \, c\right)} + {\left(9 \, d^{2} e^{2} f + 6 \, d e f^{2} + 2 \, f^{3}\right)} b^{5} e^{\left(2 \, c\right)} + 9 \, {\left(4 \, a^{2} b^{3} d^{3} f^{3} e^{\left(2 \, c\right)} + b^{5} d^{3} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 9 \, {\left(4 \, {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a^{2} b^{3} e^{\left(2 \, c\right)} + {\left(3 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{5} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(4 \, {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} a^{2} b^{3} e^{\left(2 \, c\right)} + {\left(9 \, d^{3} e^{2} f + 6 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{5} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-3 \, d x\right)} + 16875 \, {\left(32 \, a b^{4} d^{3} f^{3} x^{3} e^{c} + 24 \, {\left(4 \, d^{3} e f^{2} + d^{2} f^{3}\right)} a b^{4} x^{2} e^{c} + 12 \, {\left(8 \, d^{3} e^{2} f + 4 \, d^{2} e f^{2} + d f^{3}\right)} a b^{4} x e^{c} + 3 \, {\left(8 \, d^{2} e^{2} f + 4 \, d e f^{2} + f^{3}\right)} a b^{4} e^{c}\right)} e^{\left(-4 \, d x\right)} + 1728 \, {\left(125 \, b^{5} d^{3} f^{3} x^{3} + 75 \, {\left(5 \, d^{3} e f^{2} + d^{2} f^{3}\right)} b^{5} x^{2} + 15 \, {\left(25 \, d^{3} e^{2} f + 10 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b^{5} x + 3 \, {\left(25 \, d^{2} e^{2} f + 10 \, d e f^{2} + 2 \, f^{3}\right)} b^{5}\right)} e^{\left(-5 \, d x\right)}\right)} e^{\left(-5 \, c\right)}}{34560000 \, b^{6} d^{4}} + \int -\frac{2 \, {\left({\left(a^{5} b f^{3} + a^{3} b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{5} b e f^{2} + a^{3} b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{5} b e^{2} f + a^{3} b^{3} e^{2} f\right)} x - {\left({\left(a^{6} f^{3} e^{c} + a^{4} b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{6} e f^{2} e^{c} + a^{4} b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{6} e^{2} f e^{c} + a^{4} b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{7} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{6} e^{\left(d x + c\right)} - b^{7}}\,{d x}"," ",0,"-1/960*e^3*((15*a*b^3*e^(-d*x - c) - 6*b^4 - 10*(4*a^2*b^2 + b^4)*e^(-2*d*x - 2*c) + 60*(2*a^3*b + a*b^3)*e^(-3*d*x - 3*c) - 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-4*d*x - 4*c))*e^(5*d*x + 5*c)/(b^5*d) + 960*(a^5 + a^3*b^2)*(d*x + c)/(b^6*d) + (15*a*b^3*e^(-4*d*x - 4*c) + 6*b^4*e^(-5*d*x - 5*c) + 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-d*x - c) + 60*(2*a^3*b + a*b^3)*e^(-2*d*x - 2*c) + 10*(4*a^2*b^2 + b^4)*e^(-3*d*x - 3*c))/(b^5*d) + 960*(a^5 + a^3*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^6*d)) - 1/34560000*(8640000*(a^5*d^4*f^3*e^(5*c) + a^3*b^2*d^4*f^3*e^(5*c))*x^4 + 34560000*(a^5*d^4*e*f^2*e^(5*c) + a^3*b^2*d^4*e*f^2*e^(5*c))*x^3 + 51840000*(a^5*d^4*e^2*f*e^(5*c) + a^3*b^2*d^4*e^2*f*e^(5*c))*x^2 - 1728*(125*b^5*d^3*f^3*x^3*e^(10*c) + 75*(5*d^3*e*f^2 - d^2*f^3)*b^5*x^2*e^(10*c) + 15*(25*d^3*e^2*f - 10*d^2*e*f^2 + 2*d*f^3)*b^5*x*e^(10*c) - 3*(25*d^2*e^2*f - 10*d*e*f^2 + 2*f^3)*b^5*e^(10*c))*e^(5*d*x) + 16875*(32*a*b^4*d^3*f^3*x^3*e^(9*c) + 24*(4*d^3*e*f^2 - d^2*f^3)*a*b^4*x^2*e^(9*c) + 12*(8*d^3*e^2*f - 4*d^2*e*f^2 + d*f^3)*a*b^4*x*e^(9*c) - 3*(8*d^2*e^2*f - 4*d*e*f^2 + f^3)*a*b^4*e^(9*c))*e^(4*d*x) + 40000*(4*(9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*a^2*b^3*e^(8*c) + (9*d^2*e^2*f - 6*d*e*f^2 + 2*f^3)*b^5*e^(8*c) - 9*(4*a^2*b^3*d^3*f^3*e^(8*c) + b^5*d^3*f^3*e^(8*c))*x^3 - 9*(4*(3*d^3*e*f^2 - d^2*f^3)*a^2*b^3*e^(8*c) + (3*d^3*e*f^2 - d^2*f^3)*b^5*e^(8*c))*x^2 - 3*(4*(9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*a^2*b^3*e^(8*c) + (9*d^3*e^2*f - 6*d^2*e*f^2 + 2*d*f^3)*b^5*e^(8*c))*x)*e^(3*d*x) - 540000*(6*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a^3*b^2*e^(7*c) + 3*(2*d^2*e^2*f - 2*d*e*f^2 + f^3)*a*b^4*e^(7*c) - 4*(2*a^3*b^2*d^3*f^3*e^(7*c) + a*b^4*d^3*f^3*e^(7*c))*x^3 - 6*(2*(2*d^3*e*f^2 - d^2*f^3)*a^3*b^2*e^(7*c) + (2*d^3*e*f^2 - d^2*f^3)*a*b^4*e^(7*c))*x^2 - 6*(2*(2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a^3*b^2*e^(7*c) + (2*d^3*e^2*f - 2*d^2*e*f^2 + d*f^3)*a*b^4*e^(7*c))*x)*e^(2*d*x) + 2160000*(24*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^4*b*e^(6*c) + 18*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*a^2*b^3*e^(6*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b^5*e^(6*c) - (8*a^4*b*d^3*f^3*e^(6*c) + 6*a^2*b^3*d^3*f^3*e^(6*c) - b^5*d^3*f^3*e^(6*c))*x^3 - 3*(8*(d^3*e*f^2 - d^2*f^3)*a^4*b*e^(6*c) + 6*(d^3*e*f^2 - d^2*f^3)*a^2*b^3*e^(6*c) - (d^3*e*f^2 - d^2*f^3)*b^5*e^(6*c))*x^2 - 3*(8*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^4*b*e^(6*c) + 6*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*a^2*b^3*e^(6*c) - (d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b^5*e^(6*c))*x)*e^(d*x) + 2160000*(24*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^4*b*e^(4*c) + 18*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*a^2*b^3*e^(4*c) - 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b^5*e^(4*c) + (8*a^4*b*d^3*f^3*e^(4*c) + 6*a^2*b^3*d^3*f^3*e^(4*c) - b^5*d^3*f^3*e^(4*c))*x^3 + 3*(8*(d^3*e*f^2 + d^2*f^3)*a^4*b*e^(4*c) + 6*(d^3*e*f^2 + d^2*f^3)*a^2*b^3*e^(4*c) - (d^3*e*f^2 + d^2*f^3)*b^5*e^(4*c))*x^2 + 3*(8*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^4*b*e^(4*c) + 6*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*a^2*b^3*e^(4*c) - (d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b^5*e^(4*c))*x)*e^(-d*x) + 540000*(6*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a^3*b^2*e^(3*c) + 3*(2*d^2*e^2*f + 2*d*e*f^2 + f^3)*a*b^4*e^(3*c) + 4*(2*a^3*b^2*d^3*f^3*e^(3*c) + a*b^4*d^3*f^3*e^(3*c))*x^3 + 6*(2*(2*d^3*e*f^2 + d^2*f^3)*a^3*b^2*e^(3*c) + (2*d^3*e*f^2 + d^2*f^3)*a*b^4*e^(3*c))*x^2 + 6*(2*(2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a^3*b^2*e^(3*c) + (2*d^3*e^2*f + 2*d^2*e*f^2 + d*f^3)*a*b^4*e^(3*c))*x)*e^(-2*d*x) + 40000*(4*(9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*a^2*b^3*e^(2*c) + (9*d^2*e^2*f + 6*d*e*f^2 + 2*f^3)*b^5*e^(2*c) + 9*(4*a^2*b^3*d^3*f^3*e^(2*c) + b^5*d^3*f^3*e^(2*c))*x^3 + 9*(4*(3*d^3*e*f^2 + d^2*f^3)*a^2*b^3*e^(2*c) + (3*d^3*e*f^2 + d^2*f^3)*b^5*e^(2*c))*x^2 + 3*(4*(9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*a^2*b^3*e^(2*c) + (9*d^3*e^2*f + 6*d^2*e*f^2 + 2*d*f^3)*b^5*e^(2*c))*x)*e^(-3*d*x) + 16875*(32*a*b^4*d^3*f^3*x^3*e^c + 24*(4*d^3*e*f^2 + d^2*f^3)*a*b^4*x^2*e^c + 12*(8*d^3*e^2*f + 4*d^2*e*f^2 + d*f^3)*a*b^4*x*e^c + 3*(8*d^2*e^2*f + 4*d*e*f^2 + f^3)*a*b^4*e^c)*e^(-4*d*x) + 1728*(125*b^5*d^3*f^3*x^3 + 75*(5*d^3*e*f^2 + d^2*f^3)*b^5*x^2 + 15*(25*d^3*e^2*f + 10*d^2*e*f^2 + 2*d*f^3)*b^5*x + 3*(25*d^2*e^2*f + 10*d*e*f^2 + 2*f^3)*b^5)*e^(-5*d*x))*e^(-5*c)/(b^6*d^4) + integrate(-2*((a^5*b*f^3 + a^3*b^3*f^3)*x^3 + 3*(a^5*b*e*f^2 + a^3*b^3*e*f^2)*x^2 + 3*(a^5*b*e^2*f + a^3*b^3*e^2*f)*x - ((a^6*f^3*e^c + a^4*b^2*f^3*e^c)*x^3 + 3*(a^6*e*f^2*e^c + a^4*b^2*e*f^2*e^c)*x^2 + 3*(a^6*e^2*f*e^c + a^4*b^2*e^2*f*e^c)*x)*e^(d*x))/(b^7*e^(2*d*x + 2*c) + 2*a*b^6*e^(d*x + c) - b^7), x)","F",0
402,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{960} \, e^{2} {\left(\frac{{\left(15 \, a b^{3} e^{\left(-d x - c\right)} - 6 \, b^{4} - 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{b^{5} d} + \frac{960 \, {\left(a^{5} + a^{3} b^{2}\right)} {\left(d x + c\right)}}{b^{6} d} + \frac{15 \, a b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 6 \, b^{4} e^{\left(-5 \, d x - 5 \, c\right)} + 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-d x - c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{b^{5} d} + \frac{960 \, {\left(a^{5} + a^{3} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{6} d}\right)} - \frac{{\left(576000 \, {\left(a^{5} d^{3} f^{2} e^{\left(5 \, c\right)} + a^{3} b^{2} d^{3} f^{2} e^{\left(5 \, c\right)}\right)} x^{3} + 1728000 \, {\left(a^{5} d^{3} e f e^{\left(5 \, c\right)} + a^{3} b^{2} d^{3} e f e^{\left(5 \, c\right)}\right)} x^{2} - 432 \, {\left(25 \, b^{5} d^{2} f^{2} x^{2} e^{\left(10 \, c\right)} + 10 \, {\left(5 \, d^{2} e f - d f^{2}\right)} b^{5} x e^{\left(10 \, c\right)} - 2 \, {\left(5 \, d e f - f^{2}\right)} b^{5} e^{\left(10 \, c\right)}\right)} e^{\left(5 \, d x\right)} + 3375 \, {\left(8 \, a b^{4} d^{2} f^{2} x^{2} e^{\left(9 \, c\right)} + 4 \, {\left(4 \, d^{2} e f - d f^{2}\right)} a b^{4} x e^{\left(9 \, c\right)} - {\left(4 \, d e f - f^{2}\right)} a b^{4} e^{\left(9 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2000 \, {\left(8 \, {\left(3 \, d e f - f^{2}\right)} a^{2} b^{3} e^{\left(8 \, c\right)} + 2 \, {\left(3 \, d e f - f^{2}\right)} b^{5} e^{\left(8 \, c\right)} - 9 \, {\left(4 \, a^{2} b^{3} d^{2} f^{2} e^{\left(8 \, c\right)} + b^{5} d^{2} f^{2} e^{\left(8 \, c\right)}\right)} x^{2} - 6 \, {\left(4 \, {\left(3 \, d^{2} e f - d f^{2}\right)} a^{2} b^{3} e^{\left(8 \, c\right)} + {\left(3 \, d^{2} e f - d f^{2}\right)} b^{5} e^{\left(8 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - 54000 \, {\left(2 \, {\left(2 \, d e f - f^{2}\right)} a^{3} b^{2} e^{\left(7 \, c\right)} + {\left(2 \, d e f - f^{2}\right)} a b^{4} e^{\left(7 \, c\right)} - 2 \, {\left(2 \, a^{3} b^{2} d^{2} f^{2} e^{\left(7 \, c\right)} + a b^{4} d^{2} f^{2} e^{\left(7 \, c\right)}\right)} x^{2} - 2 \, {\left(2 \, {\left(2 \, d^{2} e f - d f^{2}\right)} a^{3} b^{2} e^{\left(7 \, c\right)} + {\left(2 \, d^{2} e f - d f^{2}\right)} a b^{4} e^{\left(7 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + 108000 \, {\left(16 \, {\left(d e f - f^{2}\right)} a^{4} b e^{\left(6 \, c\right)} + 12 \, {\left(d e f - f^{2}\right)} a^{2} b^{3} e^{\left(6 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b^{5} e^{\left(6 \, c\right)} - {\left(8 \, a^{4} b d^{2} f^{2} e^{\left(6 \, c\right)} + 6 \, a^{2} b^{3} d^{2} f^{2} e^{\left(6 \, c\right)} - b^{5} d^{2} f^{2} e^{\left(6 \, c\right)}\right)} x^{2} - 2 \, {\left(8 \, {\left(d^{2} e f - d f^{2}\right)} a^{4} b e^{\left(6 \, c\right)} + 6 \, {\left(d^{2} e f - d f^{2}\right)} a^{2} b^{3} e^{\left(6 \, c\right)} - {\left(d^{2} e f - d f^{2}\right)} b^{5} e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 108000 \, {\left(16 \, {\left(d e f + f^{2}\right)} a^{4} b e^{\left(4 \, c\right)} + 12 \, {\left(d e f + f^{2}\right)} a^{2} b^{3} e^{\left(4 \, c\right)} - 2 \, {\left(d e f + f^{2}\right)} b^{5} e^{\left(4 \, c\right)} + {\left(8 \, a^{4} b d^{2} f^{2} e^{\left(4 \, c\right)} + 6 \, a^{2} b^{3} d^{2} f^{2} e^{\left(4 \, c\right)} - b^{5} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(8 \, {\left(d^{2} e f + d f^{2}\right)} a^{4} b e^{\left(4 \, c\right)} + 6 \, {\left(d^{2} e f + d f^{2}\right)} a^{2} b^{3} e^{\left(4 \, c\right)} - {\left(d^{2} e f + d f^{2}\right)} b^{5} e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 54000 \, {\left(2 \, {\left(2 \, d e f + f^{2}\right)} a^{3} b^{2} e^{\left(3 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a b^{4} e^{\left(3 \, c\right)} + 2 \, {\left(2 \, a^{3} b^{2} d^{2} f^{2} e^{\left(3 \, c\right)} + a b^{4} d^{2} f^{2} e^{\left(3 \, c\right)}\right)} x^{2} + 2 \, {\left(2 \, {\left(2 \, d^{2} e f + d f^{2}\right)} a^{3} b^{2} e^{\left(3 \, c\right)} + {\left(2 \, d^{2} e f + d f^{2}\right)} a b^{4} e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-2 \, d x\right)} + 2000 \, {\left(8 \, {\left(3 \, d e f + f^{2}\right)} a^{2} b^{3} e^{\left(2 \, c\right)} + 2 \, {\left(3 \, d e f + f^{2}\right)} b^{5} e^{\left(2 \, c\right)} + 9 \, {\left(4 \, a^{2} b^{3} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{5} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 6 \, {\left(4 \, {\left(3 \, d^{2} e f + d f^{2}\right)} a^{2} b^{3} e^{\left(2 \, c\right)} + {\left(3 \, d^{2} e f + d f^{2}\right)} b^{5} e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-3 \, d x\right)} + 3375 \, {\left(8 \, a b^{4} d^{2} f^{2} x^{2} e^{c} + 4 \, {\left(4 \, d^{2} e f + d f^{2}\right)} a b^{4} x e^{c} + {\left(4 \, d e f + f^{2}\right)} a b^{4} e^{c}\right)} e^{\left(-4 \, d x\right)} + 432 \, {\left(25 \, b^{5} d^{2} f^{2} x^{2} + 10 \, {\left(5 \, d^{2} e f + d f^{2}\right)} b^{5} x + 2 \, {\left(5 \, d e f + f^{2}\right)} b^{5}\right)} e^{\left(-5 \, d x\right)}\right)} e^{\left(-5 \, c\right)}}{1728000 \, b^{6} d^{3}} + \int -\frac{2 \, {\left({\left(a^{5} b f^{2} + a^{3} b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{5} b e f + a^{3} b^{3} e f\right)} x - {\left({\left(a^{6} f^{2} e^{c} + a^{4} b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{6} e f e^{c} + a^{4} b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{b^{7} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{6} e^{\left(d x + c\right)} - b^{7}}\,{d x}"," ",0,"-1/960*e^2*((15*a*b^3*e^(-d*x - c) - 6*b^4 - 10*(4*a^2*b^2 + b^4)*e^(-2*d*x - 2*c) + 60*(2*a^3*b + a*b^3)*e^(-3*d*x - 3*c) - 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-4*d*x - 4*c))*e^(5*d*x + 5*c)/(b^5*d) + 960*(a^5 + a^3*b^2)*(d*x + c)/(b^6*d) + (15*a*b^3*e^(-4*d*x - 4*c) + 6*b^4*e^(-5*d*x - 5*c) + 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-d*x - c) + 60*(2*a^3*b + a*b^3)*e^(-2*d*x - 2*c) + 10*(4*a^2*b^2 + b^4)*e^(-3*d*x - 3*c))/(b^5*d) + 960*(a^5 + a^3*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^6*d)) - 1/1728000*(576000*(a^5*d^3*f^2*e^(5*c) + a^3*b^2*d^3*f^2*e^(5*c))*x^3 + 1728000*(a^5*d^3*e*f*e^(5*c) + a^3*b^2*d^3*e*f*e^(5*c))*x^2 - 432*(25*b^5*d^2*f^2*x^2*e^(10*c) + 10*(5*d^2*e*f - d*f^2)*b^5*x*e^(10*c) - 2*(5*d*e*f - f^2)*b^5*e^(10*c))*e^(5*d*x) + 3375*(8*a*b^4*d^2*f^2*x^2*e^(9*c) + 4*(4*d^2*e*f - d*f^2)*a*b^4*x*e^(9*c) - (4*d*e*f - f^2)*a*b^4*e^(9*c))*e^(4*d*x) + 2000*(8*(3*d*e*f - f^2)*a^2*b^3*e^(8*c) + 2*(3*d*e*f - f^2)*b^5*e^(8*c) - 9*(4*a^2*b^3*d^2*f^2*e^(8*c) + b^5*d^2*f^2*e^(8*c))*x^2 - 6*(4*(3*d^2*e*f - d*f^2)*a^2*b^3*e^(8*c) + (3*d^2*e*f - d*f^2)*b^5*e^(8*c))*x)*e^(3*d*x) - 54000*(2*(2*d*e*f - f^2)*a^3*b^2*e^(7*c) + (2*d*e*f - f^2)*a*b^4*e^(7*c) - 2*(2*a^3*b^2*d^2*f^2*e^(7*c) + a*b^4*d^2*f^2*e^(7*c))*x^2 - 2*(2*(2*d^2*e*f - d*f^2)*a^3*b^2*e^(7*c) + (2*d^2*e*f - d*f^2)*a*b^4*e^(7*c))*x)*e^(2*d*x) + 108000*(16*(d*e*f - f^2)*a^4*b*e^(6*c) + 12*(d*e*f - f^2)*a^2*b^3*e^(6*c) - 2*(d*e*f - f^2)*b^5*e^(6*c) - (8*a^4*b*d^2*f^2*e^(6*c) + 6*a^2*b^3*d^2*f^2*e^(6*c) - b^5*d^2*f^2*e^(6*c))*x^2 - 2*(8*(d^2*e*f - d*f^2)*a^4*b*e^(6*c) + 6*(d^2*e*f - d*f^2)*a^2*b^3*e^(6*c) - (d^2*e*f - d*f^2)*b^5*e^(6*c))*x)*e^(d*x) + 108000*(16*(d*e*f + f^2)*a^4*b*e^(4*c) + 12*(d*e*f + f^2)*a^2*b^3*e^(4*c) - 2*(d*e*f + f^2)*b^5*e^(4*c) + (8*a^4*b*d^2*f^2*e^(4*c) + 6*a^2*b^3*d^2*f^2*e^(4*c) - b^5*d^2*f^2*e^(4*c))*x^2 + 2*(8*(d^2*e*f + d*f^2)*a^4*b*e^(4*c) + 6*(d^2*e*f + d*f^2)*a^2*b^3*e^(4*c) - (d^2*e*f + d*f^2)*b^5*e^(4*c))*x)*e^(-d*x) + 54000*(2*(2*d*e*f + f^2)*a^3*b^2*e^(3*c) + (2*d*e*f + f^2)*a*b^4*e^(3*c) + 2*(2*a^3*b^2*d^2*f^2*e^(3*c) + a*b^4*d^2*f^2*e^(3*c))*x^2 + 2*(2*(2*d^2*e*f + d*f^2)*a^3*b^2*e^(3*c) + (2*d^2*e*f + d*f^2)*a*b^4*e^(3*c))*x)*e^(-2*d*x) + 2000*(8*(3*d*e*f + f^2)*a^2*b^3*e^(2*c) + 2*(3*d*e*f + f^2)*b^5*e^(2*c) + 9*(4*a^2*b^3*d^2*f^2*e^(2*c) + b^5*d^2*f^2*e^(2*c))*x^2 + 6*(4*(3*d^2*e*f + d*f^2)*a^2*b^3*e^(2*c) + (3*d^2*e*f + d*f^2)*b^5*e^(2*c))*x)*e^(-3*d*x) + 3375*(8*a*b^4*d^2*f^2*x^2*e^c + 4*(4*d^2*e*f + d*f^2)*a*b^4*x*e^c + (4*d*e*f + f^2)*a*b^4*e^c)*e^(-4*d*x) + 432*(25*b^5*d^2*f^2*x^2 + 10*(5*d^2*e*f + d*f^2)*b^5*x + 2*(5*d*e*f + f^2)*b^5)*e^(-5*d*x))*e^(-5*c)/(b^6*d^3) + integrate(-2*((a^5*b*f^2 + a^3*b^3*f^2)*x^2 + 2*(a^5*b*e*f + a^3*b^3*e*f)*x - ((a^6*f^2*e^c + a^4*b^2*f^2*e^c)*x^2 + 2*(a^6*e*f*e^c + a^4*b^2*e*f*e^c)*x)*e^(d*x))/(b^7*e^(2*d*x + 2*c) + 2*a*b^6*e^(d*x + c) - b^7), x)","F",0
403,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{960} \, e {\left(\frac{{\left(15 \, a b^{3} e^{\left(-d x - c\right)} - 6 \, b^{4} - 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{b^{5} d} + \frac{960 \, {\left(a^{5} + a^{3} b^{2}\right)} {\left(d x + c\right)}}{b^{6} d} + \frac{15 \, a b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 6 \, b^{4} e^{\left(-5 \, d x - 5 \, c\right)} + 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-d x - c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{b^{5} d} + \frac{960 \, {\left(a^{5} + a^{3} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{6} d}\right)} - \frac{1}{57600} \, f {\left(\frac{{\left(28800 \, {\left(a^{5} d^{2} e^{\left(5 \, c\right)} + a^{3} b^{2} d^{2} e^{\left(5 \, c\right)}\right)} x^{2} - 72 \, {\left(5 \, b^{5} d x e^{\left(10 \, c\right)} - b^{5} e^{\left(10 \, c\right)}\right)} e^{\left(5 \, d x\right)} + 225 \, {\left(4 \, a b^{4} d x e^{\left(9 \, c\right)} - a b^{4} e^{\left(9 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 200 \, {\left(4 \, a^{2} b^{3} e^{\left(8 \, c\right)} + b^{5} e^{\left(8 \, c\right)} - 3 \, {\left(4 \, a^{2} b^{3} d e^{\left(8 \, c\right)} + b^{5} d e^{\left(8 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - 1800 \, {\left(2 \, a^{3} b^{2} e^{\left(7 \, c\right)} + a b^{4} e^{\left(7 \, c\right)} - 2 \, {\left(2 \, a^{3} b^{2} d e^{\left(7 \, c\right)} + a b^{4} d e^{\left(7 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + 3600 \, {\left(8 \, a^{4} b e^{\left(6 \, c\right)} + 6 \, a^{2} b^{3} e^{\left(6 \, c\right)} - b^{5} e^{\left(6 \, c\right)} - {\left(8 \, a^{4} b d e^{\left(6 \, c\right)} + 6 \, a^{2} b^{3} d e^{\left(6 \, c\right)} - b^{5} d e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(d x\right)} + 3600 \, {\left(8 \, a^{4} b e^{\left(4 \, c\right)} + 6 \, a^{2} b^{3} e^{\left(4 \, c\right)} - b^{5} e^{\left(4 \, c\right)} + {\left(8 \, a^{4} b d e^{\left(4 \, c\right)} + 6 \, a^{2} b^{3} d e^{\left(4 \, c\right)} - b^{5} d e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(-d x\right)} + 1800 \, {\left(2 \, a^{3} b^{2} e^{\left(3 \, c\right)} + a b^{4} e^{\left(3 \, c\right)} + 2 \, {\left(2 \, a^{3} b^{2} d e^{\left(3 \, c\right)} + a b^{4} d e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(-2 \, d x\right)} + 200 \, {\left(4 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)} + 3 \, {\left(4 \, a^{2} b^{3} d e^{\left(2 \, c\right)} + b^{5} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(-3 \, d x\right)} + 225 \, {\left(4 \, a b^{4} d x e^{c} + a b^{4} e^{c}\right)} e^{\left(-4 \, d x\right)} + 72 \, {\left(5 \, b^{5} d x + b^{5}\right)} e^{\left(-5 \, d x\right)}\right)} e^{\left(-5 \, c\right)}}{b^{6} d^{2}} - 900 \, \int \frac{128 \, {\left({\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{5} b + a^{3} b^{3}\right)} x\right)}}{b^{7} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a b^{6} e^{\left(d x + c\right)} - b^{7}}\,{d x}\right)}"," ",0,"-1/960*e*((15*a*b^3*e^(-d*x - c) - 6*b^4 - 10*(4*a^2*b^2 + b^4)*e^(-2*d*x - 2*c) + 60*(2*a^3*b + a*b^3)*e^(-3*d*x - 3*c) - 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-4*d*x - 4*c))*e^(5*d*x + 5*c)/(b^5*d) + 960*(a^5 + a^3*b^2)*(d*x + c)/(b^6*d) + (15*a*b^3*e^(-4*d*x - 4*c) + 6*b^4*e^(-5*d*x - 5*c) + 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-d*x - c) + 60*(2*a^3*b + a*b^3)*e^(-2*d*x - 2*c) + 10*(4*a^2*b^2 + b^4)*e^(-3*d*x - 3*c))/(b^5*d) + 960*(a^5 + a^3*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^6*d)) - 1/57600*f*((28800*(a^5*d^2*e^(5*c) + a^3*b^2*d^2*e^(5*c))*x^2 - 72*(5*b^5*d*x*e^(10*c) - b^5*e^(10*c))*e^(5*d*x) + 225*(4*a*b^4*d*x*e^(9*c) - a*b^4*e^(9*c))*e^(4*d*x) + 200*(4*a^2*b^3*e^(8*c) + b^5*e^(8*c) - 3*(4*a^2*b^3*d*e^(8*c) + b^5*d*e^(8*c))*x)*e^(3*d*x) - 1800*(2*a^3*b^2*e^(7*c) + a*b^4*e^(7*c) - 2*(2*a^3*b^2*d*e^(7*c) + a*b^4*d*e^(7*c))*x)*e^(2*d*x) + 3600*(8*a^4*b*e^(6*c) + 6*a^2*b^3*e^(6*c) - b^5*e^(6*c) - (8*a^4*b*d*e^(6*c) + 6*a^2*b^3*d*e^(6*c) - b^5*d*e^(6*c))*x)*e^(d*x) + 3600*(8*a^4*b*e^(4*c) + 6*a^2*b^3*e^(4*c) - b^5*e^(4*c) + (8*a^4*b*d*e^(4*c) + 6*a^2*b^3*d*e^(4*c) - b^5*d*e^(4*c))*x)*e^(-d*x) + 1800*(2*a^3*b^2*e^(3*c) + a*b^4*e^(3*c) + 2*(2*a^3*b^2*d*e^(3*c) + a*b^4*d*e^(3*c))*x)*e^(-2*d*x) + 200*(4*a^2*b^3*e^(2*c) + b^5*e^(2*c) + 3*(4*a^2*b^3*d*e^(2*c) + b^5*d*e^(2*c))*x)*e^(-3*d*x) + 225*(4*a*b^4*d*x*e^c + a*b^4*e^c)*e^(-4*d*x) + 72*(5*b^5*d*x + b^5)*e^(-5*d*x))*e^(-5*c)/(b^6*d^2) - 900*integrate(128*((a^6*e^c + a^4*b^2*e^c)*x*e^(d*x) - (a^5*b + a^3*b^3)*x)/(b^7*e^(2*d*x + 2*c) + 2*a*b^6*e^(d*x + c) - b^7), x))","F",0
404,1,300,0,0.360497," ","integrate(cosh(d*x+c)^3*sinh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(15 \, a b^{3} e^{\left(-d x - c\right)} - 6 \, b^{4} - 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} e^{\left(5 \, d x + 5 \, c\right)}}{960 \, b^{5} d} - \frac{{\left(a^{5} + a^{3} b^{2}\right)} {\left(d x + c\right)}}{b^{6} d} - \frac{15 \, a b^{3} e^{\left(-4 \, d x - 4 \, c\right)} + 6 \, b^{4} e^{\left(-5 \, d x - 5 \, c\right)} + 60 \, {\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-d x - c\right)} + 60 \, {\left(2 \, a^{3} b + a b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, {\left(4 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{960 \, b^{5} d} - \frac{{\left(a^{5} + a^{3} b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{b^{6} d}"," ",0,"-1/960*(15*a*b^3*e^(-d*x - c) - 6*b^4 - 10*(4*a^2*b^2 + b^4)*e^(-2*d*x - 2*c) + 60*(2*a^3*b + a*b^3)*e^(-3*d*x - 3*c) - 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-4*d*x - 4*c))*e^(5*d*x + 5*c)/(b^5*d) - (a^5 + a^3*b^2)*(d*x + c)/(b^6*d) - 1/960*(15*a*b^3*e^(-4*d*x - 4*c) + 6*b^4*e^(-5*d*x - 5*c) + 60*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-d*x - c) + 60*(2*a^3*b + a*b^3)*e^(-2*d*x - 2*c) + 10*(4*a^2*b^2 + b^4)*e^(-3*d*x - 3*c))/(b^5*d) - (a^5 + a^3*b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(b^6*d)","B",0
405,0,0,0,0.000000," ","integrate(cosh(d*x+c)^3*sinh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-5 \, c + \frac{5 \, d e}{f}\right)} E_{1}\left(\frac{5 \, {\left(f x + e\right)} d}{f}\right)}{32 \, b f} - \frac{a e^{\left(-4 \, c + \frac{4 \, d e}{f}\right)} E_{1}\left(\frac{4 \, {\left(f x + e\right)} d}{f}\right)}{16 \, b^{2} f} + \frac{a e^{\left(4 \, c - \frac{4 \, d e}{f}\right)} E_{1}\left(-\frac{4 \, {\left(f x + e\right)} d}{f}\right)}{16 \, b^{2} f} - \frac{e^{\left(5 \, c - \frac{5 \, d e}{f}\right)} E_{1}\left(-\frac{5 \, {\left(f x + e\right)} d}{f}\right)}{32 \, b f} - \frac{{\left(4 \, a^{2} + b^{2}\right)} e^{\left(-3 \, c + \frac{3 \, d e}{f}\right)} E_{1}\left(\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{32 \, b^{3} f} - \frac{{\left(4 \, a^{2} e^{\left(3 \, c\right)} + b^{2} e^{\left(3 \, c\right)}\right)} e^{\left(-\frac{3 \, d e}{f}\right)} E_{1}\left(-\frac{3 \, {\left(f x + e\right)} d}{f}\right)}{32 \, b^{3} f} - \frac{{\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-2 \, c + \frac{2 \, d e}{f}\right)} E_{1}\left(\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{4} f} + \frac{{\left(2 \, a^{3} e^{\left(2 \, c\right)} + a b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(-\frac{2 \, d e}{f}\right)} E_{1}\left(-\frac{2 \, {\left(f x + e\right)} d}{f}\right)}{8 \, b^{4} f} - \frac{{\left(8 \, a^{4} + 6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{16 \, b^{5} f} - \frac{{\left(8 \, a^{4} e^{c} + 6 \, a^{2} b^{2} e^{c} - b^{4} e^{c}\right)} e^{\left(-\frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{16 \, b^{5} f} - \frac{{\left(a^{5} + a^{3} b^{2}\right)} \log\left(f x + e\right)}{b^{6} f} + \frac{1}{64} \, \int \frac{128 \, {\left(a^{5} b + a^{3} b^{3} - {\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{b^{7} f x + b^{7} e - {\left(b^{7} f x e^{\left(2 \, c\right)} + b^{7} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a b^{6} f x e^{c} + a b^{6} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-1/32*e^(-5*c + 5*d*e/f)*exp_integral_e(1, 5*(f*x + e)*d/f)/(b*f) - 1/16*a*e^(-4*c + 4*d*e/f)*exp_integral_e(1, 4*(f*x + e)*d/f)/(b^2*f) + 1/16*a*e^(4*c - 4*d*e/f)*exp_integral_e(1, -4*(f*x + e)*d/f)/(b^2*f) - 1/32*e^(5*c - 5*d*e/f)*exp_integral_e(1, -5*(f*x + e)*d/f)/(b*f) - 1/32*(4*a^2 + b^2)*e^(-3*c + 3*d*e/f)*exp_integral_e(1, 3*(f*x + e)*d/f)/(b^3*f) - 1/32*(4*a^2*e^(3*c) + b^2*e^(3*c))*e^(-3*d*e/f)*exp_integral_e(1, -3*(f*x + e)*d/f)/(b^3*f) - 1/8*(2*a^3 + a*b^2)*e^(-2*c + 2*d*e/f)*exp_integral_e(1, 2*(f*x + e)*d/f)/(b^4*f) + 1/8*(2*a^3*e^(2*c) + a*b^2*e^(2*c))*e^(-2*d*e/f)*exp_integral_e(1, -2*(f*x + e)*d/f)/(b^4*f) - 1/16*(8*a^4 + 6*a^2*b^2 - b^4)*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b^5*f) - 1/16*(8*a^4*e^c + 6*a^2*b^2*e^c - b^4*e^c)*e^(-d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b^5*f) - (a^5 + a^3*b^2)*log(f*x + e)/(b^6*f) + 1/64*integrate(128*(a^5*b + a^3*b^3 - (a^6*e^c + a^4*b^2*e^c)*e^(d*x))/(b^7*f*x + b^7*e - (b^7*f*x*e^(2*c) + b^7*e*e^(2*c))*e^(2*d*x) - 2*(a*b^6*f*x*e^c + a*b^6*e*e^c)*e^(d*x)), x)","F",0
406,0,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{2 \, a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d} - \frac{4 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d}\right)} e^{3} - \frac{{\left(a d^{4} f^{3} x^{4} e^{c} + 4 \, a d^{4} e f^{2} x^{3} e^{c} + 6 \, a d^{4} e^{2} f x^{2} e^{c} - 2 \, {\left(b d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 2 \, {\left(b d^{3} f^{3} x^{3} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b x^{2} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{4 \, b^{2} d^{4}} + \int \frac{2 \, {\left(a^{3} b f^{3} x^{3} + 3 \, a^{3} b e f^{2} x^{2} + 3 \, a^{3} b e^{2} f x - {\left(a^{4} f^{3} x^{3} e^{c} + 3 \, a^{4} e f^{2} x^{2} e^{c} + 3 \, a^{4} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{3} + b^{5} - {\left(a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int -\frac{2 \, {\left(a f^{3} x^{3} + 3 \, a e f^{2} x^{2} + 3 \, a e^{2} f x - {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*(2*a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b^2 + b^4)*d) - 4*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + 2*a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d))*e^3 - 1/4*(a*d^4*f^3*x^4*e^c + 4*a*d^4*e*f^2*x^3*e^c + 6*a*d^4*e^2*f*x^2*e^c - 2*(b*d^3*f^3*x^3*e^(2*c) + 3*(d^3*e*f^2 - d^2*f^3)*b*x^2*e^(2*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b*x*e^(2*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b*e^(2*c))*e^(d*x) + 2*(b*d^3*f^3*x^3 + 3*(d^3*e*f^2 + d^2*f^3)*b*x^2 + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b*x + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b)*e^(-d*x))*e^(-c)/(b^2*d^4) + integrate(2*(a^3*b*f^3*x^3 + 3*a^3*b*e*f^2*x^2 + 3*a^3*b*e^2*f*x - (a^4*f^3*x^3*e^c + 3*a^4*e*f^2*x^2*e^c + 3*a^4*e^2*f*x*e^c)*e^(d*x))/(a^2*b^3 + b^5 - (a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) - integrate(-2*(a*f^3*x^3 + 3*a*e*f^2*x^2 + 3*a*e^2*f*x - (b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
407,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{2 \, a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d} - \frac{4 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d}\right)} e^{2} - \frac{{\left(2 \, a d^{3} f^{2} x^{3} e^{c} + 6 \, a d^{3} e f x^{2} e^{c} - 3 \, {\left(b d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} b x e^{\left(2 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 3 \, {\left(b d^{2} f^{2} x^{2} + 2 \, {\left(d^{2} e f + d f^{2}\right)} b x + 2 \, {\left(d e f + f^{2}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{6 \, b^{2} d^{3}} + \int \frac{2 \, {\left(a^{3} b f^{2} x^{2} + 2 \, a^{3} b e f x - {\left(a^{4} f^{2} x^{2} e^{c} + 2 \, a^{4} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{3} + b^{5} - {\left(a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int -\frac{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x - {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*(2*a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b^2 + b^4)*d) - 4*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + 2*a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d))*e^2 - 1/6*(2*a*d^3*f^2*x^3*e^c + 6*a*d^3*e*f*x^2*e^c - 3*(b*d^2*f^2*x^2*e^(2*c) + 2*(d^2*e*f - d*f^2)*b*x*e^(2*c) - 2*(d*e*f - f^2)*b*e^(2*c))*e^(d*x) + 3*(b*d^2*f^2*x^2 + 2*(d^2*e*f + d*f^2)*b*x + 2*(d*e*f + f^2)*b)*e^(-d*x))*e^(-c)/(b^2*d^3) + integrate(2*(a^3*b*f^2*x^2 + 2*a^3*b*e*f*x - (a^4*f^2*x^2*e^c + 2*a^4*e*f*x*e^c)*e^(d*x))/(a^2*b^3 + b^5 - (a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) - integrate(-2*(a*f^2*x^2 + 2*a*e*f*x - (b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
408,0,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{2 \, a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d} - \frac{4 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d}\right)} e - \frac{1}{4} \, f {\left(\frac{2 \, {\left(a d^{2} x^{2} e^{c} - {\left(b d x e^{\left(2 \, c\right)} - b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + {\left(b d x + b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{b^{2} d^{2}} - \int -\frac{8 \, {\left(a^{4} x e^{\left(d x + c\right)} - a^{3} b x\right)}}{a^{2} b^{3} + b^{5} - {\left(a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \int \frac{8 \, {\left(b x e^{\left(d x + c\right)} - a x\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}\right)}"," ",0,"-1/2*(2*a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b^2 + b^4)*d) - 4*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + 2*a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d))*e - 1/4*f*(2*(a*d^2*x^2*e^c - (b*d*x*e^(2*c) - b*e^(2*c))*e^(d*x) + (b*d*x + b)*e^(-d*x))*e^(-c)/(b^2*d^2) - integrate(-8*(a^4*x*e^(d*x + c) - a^3*b*x)/(a^2*b^3 + b^5 - (a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) + integrate(8*(b*x*e^(d*x + c) - a*x)/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x))","F",0
409,1,147,0,0.407812," ","integrate(sinh(d*x+c)^2*tanh(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{2} b^{2} + b^{4}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{{\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{2 \, b d} - \frac{e^{\left(-d x - c\right)}}{2 \, b d}"," ",0,"-a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^2*b^2 + b^4)*d) + 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) - (d*x + c)*a/(b^2*d) + 1/2*e^(d*x + c)/(b*d) - 1/2*e^(-d*x - c)/(b*d)","A",0
410,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2*tanh(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{a \log\left(f x + e\right)}{b^{2} f} + \frac{1}{4} \, \int -\frac{8 \, {\left(a^{4} e^{\left(d x + c\right)} - a^{3} b\right)}}{a^{2} b^{3} e + b^{5} e + {\left(a^{2} b^{3} f + b^{5} f\right)} x - {\left(a^{2} b^{3} e e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)} + {\left(a^{2} b^{3} f e^{\left(2 \, c\right)} + b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b^{2} e e^{c} + a b^{4} e e^{c} + {\left(a^{3} b^{2} f e^{c} + a b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x} - \frac{1}{4} \, \int \frac{8 \, {\left(b e^{\left(d x + c\right)} - a\right)}}{a^{2} e + b^{2} e + {\left(a^{2} f + b^{2} f\right)} x + {\left(a^{2} e e^{\left(2 \, c\right)} + b^{2} e e^{\left(2 \, c\right)} + {\left(a^{2} f e^{\left(2 \, c\right)} + b^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-1/2*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b*f) - 1/2*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b*f) - a*log(f*x + e)/(b^2*f) + 1/4*integrate(-8*(a^4*e^(d*x + c) - a^3*b)/(a^2*b^3*e + b^5*e + (a^2*b^3*f + b^5*f)*x - (a^2*b^3*e*e^(2*c) + b^5*e*e^(2*c) + (a^2*b^3*f*e^(2*c) + b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^3*b^2*e*e^c + a*b^4*e*e^c + (a^3*b^2*f*e^c + a*b^4*f*e^c)*x)*e^(d*x)), x) - 1/4*integrate(8*(b*e^(d*x + c) - a)/(a^2*e + b^2*e + (a^2*f + b^2*f)*x + (a^2*e*e^(2*c) + b^2*e*e^(2*c) + (a^2*f*e^(2*c) + b^2*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
411,0,0,0,0.000000," ","integrate((f*x+e)^3*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-3 \, b e^{2} f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} - 6 \, a f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 6 \, b f^{3} \int \frac{x^{2}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 12 \, a e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 12 \, b e f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - {\left(\frac{a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{d x + c}{b d}\right)} e^{3} - \frac{6 \, a e^{2} f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{24 \, b^{2} e^{2} f x + {\left(a^{2} d f^{3} + b^{2} d f^{3}\right)} x^{4} + 4 \, {\left(a^{2} d e f^{2} + {\left(d e f^{2} + 2 \, f^{3}\right)} b^{2}\right)} x^{3} + 6 \, {\left(a^{2} d e^{2} f + {\left(d e^{2} f + 4 \, e f^{2}\right)} b^{2}\right)} x^{2} + {\left({\left(a^{2} d f^{3} e^{\left(2 \, c\right)} + b^{2} d f^{3} e^{\left(2 \, c\right)}\right)} x^{4} + 4 \, {\left(a^{2} d e f^{2} e^{\left(2 \, c\right)} + b^{2} d e f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 6 \, {\left(a^{2} d e^{2} f e^{\left(2 \, c\right)} + b^{2} d e^{2} f e^{\left(2 \, c\right)}\right)} x^{2}\right)} e^{\left(2 \, d x\right)} + 8 \, {\left(a b f^{3} x^{3} e^{c} + 3 \, a b e f^{2} x^{2} e^{c} + 3 \, a b e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a^{2} b d + b^{3} d + {\left(a^{2} b d e^{\left(2 \, c\right)} + b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \int -\frac{2 \, {\left(a^{3} f^{3} x^{3} e^{c} + 3 \, a^{3} e f^{2} x^{2} e^{c} + 3 \, a^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e^{c} + a b^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-3*b*e^2*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) - 6*a*f^3*integrate(x^2*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 6*b*f^3*integrate(x^2/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 12*a*e*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 12*b*e*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - (a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) - (d*x + c)/(b*d))*e^3 - 6*a*e^2*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + 1/4*(24*b^2*e^2*f*x + (a^2*d*f^3 + b^2*d*f^3)*x^4 + 4*(a^2*d*e*f^2 + (d*e*f^2 + 2*f^3)*b^2)*x^3 + 6*(a^2*d*e^2*f + (d*e^2*f + 4*e*f^2)*b^2)*x^2 + ((a^2*d*f^3*e^(2*c) + b^2*d*f^3*e^(2*c))*x^4 + 4*(a^2*d*e*f^2*e^(2*c) + b^2*d*e*f^2*e^(2*c))*x^3 + 6*(a^2*d*e^2*f*e^(2*c) + b^2*d*e^2*f*e^(2*c))*x^2)*e^(2*d*x) + 8*(a*b*f^3*x^3*e^c + 3*a*b*e*f^2*x^2*e^c + 3*a*b*e^2*f*x*e^c)*e^(d*x))/(a^2*b*d + b^3*d + (a^2*b*d*e^(2*c) + b^3*d*e^(2*c))*e^(2*d*x)) - integrate(-2*(a^3*f^3*x^3*e^c + 3*a^3*e*f^2*x^2*e^c + 3*a^3*e^2*f*x*e^c)*e^(d*x)/(a^2*b^2 + b^4 - (a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x) - 2*(a^3*b*e^c + a*b^3*e^c)*e^(d*x)), x)","F",0
412,0,0,0,0.000000," ","integrate((f*x+e)^2*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, b e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} - 4 \, a f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 4 \, b f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - {\left(\frac{a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{d x + c}{b d}\right)} e^{2} - \frac{4 \, a e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{12 \, b^{2} e f x + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{3} + 3 \, {\left(a^{2} d e f + {\left(d e f + 2 \, f^{2}\right)} b^{2}\right)} x^{2} + {\left({\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x^{2}\right)} e^{\left(2 \, d x\right)} + 6 \, {\left(a b f^{2} x^{2} e^{c} + 2 \, a b e f x e^{c}\right)} e^{\left(d x\right)}}{3 \, {\left(a^{2} b d + b^{3} d + {\left(a^{2} b d e^{\left(2 \, c\right)} + b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}} - \int -\frac{2 \, {\left(a^{3} f^{2} x^{2} e^{c} + 2 \, a^{3} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e^{c} + a b^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*b*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) - 4*a*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 4*b*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - (a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) - (d*x + c)/(b*d))*e^2 - 4*a*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + 1/3*(12*b^2*e*f*x + (a^2*d*f^2 + b^2*d*f^2)*x^3 + 3*(a^2*d*e*f + (d*e*f + 2*f^2)*b^2)*x^2 + ((a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^3 + 3*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x^2)*e^(2*d*x) + 6*(a*b*f^2*x^2*e^c + 2*a*b*e*f*x*e^c)*e^(d*x))/(a^2*b*d + b^3*d + (a^2*b*d*e^(2*c) + b^3*d*e^(2*c))*e^(2*d*x)) - integrate(-2*(a^3*f^2*x^2*e^c + 2*a^3*e*f*x*e^c)*e^(d*x)/(a^2*b^2 + b^4 - (a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x) - 2*(a^3*b*e^c + a*b^3*e^c)*e^(d*x)), x)","F",0
413,0,0,0,0.000000," ","integrate((f*x+e)*sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{d x + c}{b d}\right)} e - \frac{1}{2} \, {\left(4 \, a^{3} \int -\frac{x e^{\left(d x + c\right)}}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e^{c} + a b^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{{\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x\right)} + 4 \, a b x e^{\left(d x + c\right)} + 4 \, b^{2} x + {\left(a^{2} d + b^{2} d\right)} x^{2}}{a^{2} b d + b^{3} d + {\left(a^{2} b d e^{\left(2 \, c\right)} + b^{3} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{4 \, b x}{{\left(a^{2} + b^{2}\right)} d} + \frac{4 \, a \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{2 \, b \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} f"," ",0,"-(a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) - (d*x + c)/(b*d))*e - 1/2*(4*a^3*integrate(-x*e^(d*x + c)/(a^2*b^2 + b^4 - (a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x) - 2*(a^3*b*e^c + a*b^3*e^c)*e^(d*x)), x) - ((a^2*d*e^(2*c) + b^2*d*e^(2*c))*x^2*e^(2*d*x) + 4*a*b*x*e^(d*x + c) + 4*b^2*x + (a^2*d + b^2*d)*x^2)/(a^2*b*d + b^3*d + (a^2*b*d*e^(2*c) + b^3*d*e^(2*c))*e^(2*d*x)) + 4*b*x/((a^2 + b^2)*d) + 4*a*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - 2*b*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2))*f","F",0
414,1,141,0,0.420446," ","integrate(sinh(d*x+c)*tanh(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b + b^{3}\right)} \sqrt{a^{2} + b^{2}} d} + \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} + \frac{d x + c}{b d}"," ",0,"-a^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2*b + b^3)*sqrt(a^2 + b^2)*d) + 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) + (d*x + c)/(b*d)","A",0
415,0,0,0,0.000000," ","integrate(sinh(d*x+c)*tanh(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, a^{3} \int -\frac{e^{\left(d x + c\right)}}{a^{2} b^{2} e + b^{4} e + {\left(a^{2} b^{2} f + b^{4} f\right)} x - {\left(a^{2} b^{2} e e^{\left(2 \, c\right)} + b^{4} e e^{\left(2 \, c\right)} + {\left(a^{2} b^{2} f e^{\left(2 \, c\right)} + b^{4} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b e e^{c} + a b^{3} e e^{c} + {\left(a^{3} b f e^{c} + a b^{3} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x} + \frac{2 \, {\left(a e^{\left(d x + c\right)} + b\right)}}{a^{2} d e + b^{2} d e + {\left(a^{2} d f + b^{2} d f\right)} x + {\left(a^{2} d e e^{\left(2 \, c\right)} + b^{2} d e e^{\left(2 \, c\right)} + {\left(a^{2} d f e^{\left(2 \, c\right)} + b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + \frac{\log\left(f x + e\right)}{b f} + \frac{1}{2} \, \int \frac{4 \, {\left(a f e^{\left(d x + c\right)} + b f\right)}}{a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-2*a^3*integrate(-e^(d*x + c)/(a^2*b^2*e + b^4*e + (a^2*b^2*f + b^4*f)*x - (a^2*b^2*e*e^(2*c) + b^4*e*e^(2*c) + (a^2*b^2*f*e^(2*c) + b^4*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^3*b*e*e^c + a*b^3*e*e^c + (a^3*b*f*e^c + a*b^3*f*e^c)*x)*e^(d*x)), x) + 2*(a*e^(d*x + c) + b)/(a^2*d*e + b^2*d*e + (a^2*d*f + b^2*d*f)*x + (a^2*d*e*e^(2*c) + b^2*d*e*e^(2*c) + (a^2*d*f*e^(2*c) + b^2*d*f*e^(2*c))*x)*e^(2*d*x)) + log(f*x + e)/(b*f) + 1/2*integrate(4*(a*f*e^(d*x + c) + b*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
416,0,0,0,0.000000," ","integrate((f*x+e)^2*tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","3 \, a^{2} b d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + b^{3} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 2 \, a^{3} d^{2} f^{2} \int \frac{x^{2}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 6 \, a^{2} b d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, b^{3} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 4 \, a^{3} d^{2} e f \int \frac{x}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - a^{3} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - a b^{2} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - {\left(\frac{a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a^{3} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(3 \, a^{2} b + b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e^{2} + \frac{2 \, a^{2} b f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{2 \, b^{3} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{2 \, a f^{2} x + 2 \, a e f - {\left(b d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, b e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} b x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(a d f^{2} x^{2} e^{\left(2 \, c\right)} + a e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(b d f^{2} x^{2} e^{c} - 2 \, b e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} b x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int \frac{2 \, {\left(a^{3} b f^{2} x^{2} + 2 \, a^{3} b e f x - {\left(a^{4} f^{2} x^{2} e^{c} + 2 \, a^{4} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"3*a^2*b*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + b^3*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 2*a^3*d^2*f^2*integrate(x^2/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 6*a^2*b*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*b^3*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 4*a^3*d^2*e*f*integrate(x/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - a^3*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) - a*b^2*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) - (a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a^3*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) + (3*a^2*b + b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e^2 + 2*a^2*b*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) + 2*b^3*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) + (2*a*f^2*x + 2*a*e*f - (b*d*f^2*x^2*e^(3*c) + 2*b*e*f*e^(3*c) + 2*(d*e*f + f^2)*b*x*e^(3*c))*e^(3*d*x) + 2*(a*d*f^2*x^2*e^(2*c) + a*e*f*e^(2*c) + (2*d*e*f + f^2)*a*x*e^(2*c))*e^(2*d*x) + (b*d*f^2*x^2*e^c - 2*b*e*f*e^c + 2*(d*e*f - f^2)*b*x*e^c)*e^(d*x))/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) + integrate(2*(a^3*b*f^2*x^2 + 2*a^3*b*e*f*x - (a^4*f^2*x^2*e^c + 2*a^4*e*f*x*e^c)*e^(d*x))/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x)","F",0
417,0,0,0,0.000000," ","integrate((f*x+e)*tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{a^{3} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(3 \, a^{2} b + b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}\right)} e - f {\left(\frac{{\left(b d x e^{\left(3 \, c\right)} + b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d x e^{\left(2 \, c\right)} + a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d x e^{c} - b e^{c}\right)} e^{\left(d x\right)} - a}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \int -\frac{2 \, {\left(a^{4} x e^{\left(d x + c\right)} - a^{3} b x\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e^{\left(2 \, c\right)} + b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + 2 \, a^{3} b^{2} e^{c} + a b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int -\frac{2 \, a^{3} x - {\left(3 \, a^{2} b e^{c} + b^{3} e^{c}\right)} x e^{\left(d x\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}\right)}"," ",0,"-(a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) - a^3*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) + (3*a^2*b + b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d))*e - f*(((b*d*x*e^(3*c) + b*e^(3*c))*e^(3*d*x) - (2*a*d*x*e^(2*c) + a*e^(2*c))*e^(2*d*x) - (b*d*x*e^c - b*e^c)*e^(d*x) - a)/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) - integrate(-2*(a^4*x*e^(d*x + c) - a^3*b*x)/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b*e^(2*c) + 2*a^2*b^3*e^(2*c) + b^5*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + 2*a^3*b^2*e^c + a*b^4*e^c)*e^(d*x)), x) - integrate(-(2*a^3*x - (3*a^2*b*e^c + b^3*e^c)*x*e^(d*x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x))","F",0
418,1,217,0,0.409371," ","integrate(tanh(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{a^{3} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(3 \, a^{2} b + b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}"," ",0,"-a^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + 2*a^2*b^2 + b^4)*d) + a^3*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (3*a^2*b + b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d)","A",0
419,0,0,0,0.000000," ","integrate(tanh(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a f + {\left(b d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d f x e^{c} + {\left(d e + f\right)} b e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{2} + b^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + b^{2} d^{2} e f\right)} x + {\left(a^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(4 \, c\right)} + b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(2 \, c\right)} + b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + \int -\frac{2 \, a^{3} d^{2} f^{2} x^{2} + 4 \, a^{3} d^{2} e f x + 2 \, a b^{2} f^{2} + 2 \, {\left(d^{2} e^{2} + f^{2}\right)} a^{3} - {\left({\left(3 \, d^{2} e^{2} + 2 \, f^{2}\right)} a^{2} b e^{c} + {\left(d^{2} e^{2} + 2 \, f^{2}\right)} b^{3} e^{c} + {\left(3 \, a^{2} b d^{2} f^{2} e^{c} + b^{3} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(3 \, a^{2} b d^{2} e f e^{c} + b^{3} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}}\,{d x} + \int -\frac{2 \, {\left(a^{4} e^{\left(d x + c\right)} - a^{3} b\right)}}{a^{4} b e + 2 \, a^{2} b^{3} e + b^{5} e + {\left(a^{4} b f + 2 \, a^{2} b^{3} f + b^{5} f\right)} x - {\left(a^{4} b e e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} e e^{\left(2 \, c\right)} + b^{5} e e^{\left(2 \, c\right)} + {\left(a^{4} b f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{3} f e^{\left(2 \, c\right)} + b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e e^{c} + 2 \, a^{3} b^{2} e e^{c} + a b^{4} e e^{c} + {\left(a^{5} f e^{c} + 2 \, a^{3} b^{2} f e^{c} + a b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-(a*f + (b*d*f*x*e^(3*c) + (d*e - f)*b*e^(3*c))*e^(3*d*x) - (2*a*d*f*x*e^(2*c) + (2*d*e - f)*a*e^(2*c))*e^(2*d*x) - (b*d*f*x*e^c + (d*e + f)*b*e^c)*e^(d*x))/(a^2*d^2*e^2 + b^2*d^2*e^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + b^2*d^2*e*f)*x + (a^2*d^2*e^2*e^(4*c) + b^2*d^2*e^2*e^(4*c) + (a^2*d^2*f^2*e^(4*c) + b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^2*d^2*e*f*e^(4*c) + b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + 2*(a^2*d^2*e^2*e^(2*c) + b^2*d^2*e^2*e^(2*c) + (a^2*d^2*f^2*e^(2*c) + b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^2*d^2*e*f*e^(2*c) + b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) + integrate(-(2*a^3*d^2*f^2*x^2 + 4*a^3*d^2*e*f*x + 2*a*b^2*f^2 + 2*(d^2*e^2 + f^2)*a^3 - ((3*d^2*e^2 + 2*f^2)*a^2*b*e^c + (d^2*e^2 + 2*f^2)*b^3*e^c + (3*a^2*b*d^2*f^2*e^c + b^3*d^2*f^2*e^c)*x^2 + 2*(3*a^2*b*d^2*e*f*e^c + b^3*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x) + integrate(-2*(a^4*e^(d*x + c) - a^3*b)/(a^4*b*e + 2*a^2*b^3*e + b^5*e + (a^4*b*f + 2*a^2*b^3*f + b^5*f)*x - (a^4*b*e*e^(2*c) + 2*a^2*b^3*e*e^(2*c) + b^5*e*e^(2*c) + (a^4*b*f*e^(2*c) + 2*a^2*b^3*f*e^(2*c) + b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*e*e^c + 2*a^3*b^2*e*e^c + a*b^4*e*e^c + (a^5*f*e^c + 2*a^3*b^2*f*e^c + a*b^4*f*e^c)*x)*e^(d*x)), x)","F",0
420,0,0,0,0.000000," ","integrate((f*x+e)^3*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{\log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \frac{d^{4} f^{3} x^{4} + 4 \, d^{4} e f^{2} x^{3} + 6 \, d^{4} e^{2} f x^{2}}{2 \, a d^{4}} + \int -\frac{2 \, {\left(b f^{3} x^{3} + 3 \, b e f^{2} x^{2} + 3 \, b e^{2} f x - {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} e^{\left(d x + c\right)} - a b}\,{d x}"," ",0,"-e^3*(log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - 1/2*(d^4*f^3*x^4 + 4*d^4*e*f^2*x^3 + 6*d^4*e^2*f*x^2)/(a*d^4) + integrate(-2*(b*f^3*x^3 + 3*b*e*f^2*x^2 + 3*b*e^2*f*x - (a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x))/(a*b*e^(2*d*x + 2*c) + 2*a^2*e^(d*x + c) - a*b), x)","F",0
421,0,0,0,0.000000," ","integrate((f*x+e)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{\log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \frac{2 \, {\left(d^{3} f^{2} x^{3} + 3 \, d^{3} e f x^{2}\right)}}{3 \, a d^{3}} + \int -\frac{2 \, {\left(b f^{2} x^{2} + 2 \, b e f x - {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} e^{\left(d x + c\right)} - a b}\,{d x}"," ",0,"-e^2*(log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - 2/3*(d^3*f^2*x^3 + 3*d^3*e*f*x^2)/(a*d^3) + integrate(-2*(b*f^2*x^2 + 2*b*e*f*x - (a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x))/(a*b*e^(2*d*x + 2*c) + 2*a^2*e^(d*x + c) - a*b), x)","F",0
422,0,0,0,0.000000," ","integrate((f*x+e)*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e {\left(\frac{\log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + f \int \frac{2 \, x {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e*(log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + f*integrate(2*x*(e^(d*x + c) + e^(-d*x - c))/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) - e^(-d*x - c))), x)","F",0
423,1,75,0,0.318234," ","integrate(coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{\log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}"," ",0,"-log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*d) + log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d)","B",0
424,0,0,0,0.000000," ","integrate(coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{\coth\left(d x + c\right)}{{\left(f x + e\right)} {\left(b \sinh\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(coth(d*x + c)/((f*x + e)*(b*sinh(d*x + c) + a)), x)","F",0
425,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{3} {\left(\frac{d x + c}{b d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a b d}\right)} - \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2}}{4 \, b} - \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \int \frac{2 \, {\left({\left(a^{2} f^{3} e^{c} + b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{2} e f^{2} e^{c} + b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{2} e^{2} f e^{c} + b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b e^{\left(d x + c\right)} - a b^{2}}\,{d x}"," ",0,"e^3*((d*x + c)/(b*d) - log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d) - sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a*b*d)) - 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) + 1/4*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2)/b - 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - integrate(2*((a^2*f^3*e^c + b^2*f^3*e^c)*x^3 + 3*(a^2*e*f^2*e^c + b^2*e*f^2*e^c)*x^2 + 3*(a^2*e^2*f*e^c + b^2*e^2*f*e^c)*x)*e^(d*x)/(a*b^2*e^(2*d*x + 2*c) + 2*a^2*b*e^(d*x + c) - a*b^2), x)","F",0
426,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{2} {\left(\frac{d x + c}{b d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a b d}\right)} + \frac{f^{2} x^{3} + 3 \, e f x^{2}}{3 \, b} - \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \int \frac{2 \, {\left({\left(a^{2} f^{2} e^{c} + b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} e f e^{c} + b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b e^{\left(d x + c\right)} - a b^{2}}\,{d x}"," ",0,"e^2*((d*x + c)/(b*d) - log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d) - sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a*b*d)) + 1/3*(f^2*x^3 + 3*e*f*x^2)/b - 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - integrate(2*((a^2*f^2*e^c + b^2*f^2*e^c)*x^2 + 2*(a^2*e*f*e^c + b^2*e*f*e^c)*x)*e^(d*x)/(a*b^2*e^(2*d*x + 2*c) + 2*a^2*b*e^(d*x + c) - a*b^2), x)","F",0
427,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(4 \, {\left(a^{2} e^{c} + b^{2} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b e^{\left(d x + c\right)} - a b^{2}}\,{d x} - \frac{x^{2}}{b} - 2 \, \int \frac{x}{a e^{\left(d x + c\right)} + a}\,{d x} - 2 \, \int \frac{x}{a e^{\left(d x + c\right)} - a}\,{d x}\right)} f + e {\left(\frac{d x + c}{b d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a b d}\right)}"," ",0,"-1/2*(4*(a^2*e^c + b^2*e^c)*integrate(x*e^(d*x)/(a*b^2*e^(2*d*x + 2*c) + 2*a^2*b*e^(d*x + c) - a*b^2), x) - x^2/b - 2*integrate(x/(a*e^(d*x + c) + a), x) - 2*integrate(x/(a*e^(d*x + c) - a), x))*f + e*((d*x + c)/(b*d) - log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d) - sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a*b*d))","F",0
428,1,126,0,0.422101," ","integrate(cosh(d*x+c)*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{b d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a b d}"," ",0,"(d*x + c)/(b*d) - log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d) - sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a*b*d)","A",0
429,0,0,0,0.000000," ","integrate(cosh(d*x+c)*coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, {\left(a^{2} e^{c} + b^{2} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{a b^{2} f x + a b^{2} e - {\left(a b^{2} f x e^{\left(2 \, c\right)} + a b^{2} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{2} b f x e^{c} + a^{2} b e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{\log\left(f x + e\right)}{b f} + \int \frac{1}{a f x + a e + {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \int -\frac{1}{a f x + a e - {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*(a^2*e^c + b^2*e^c)*integrate(-e^(d*x)/(a*b^2*f*x + a*b^2*e - (a*b^2*f*x*e^(2*c) + a*b^2*e*e^(2*c))*e^(2*d*x) - 2*(a^2*b*f*x*e^c + a^2*b*e*e^c)*e^(d*x)), x) + log(f*x + e)/(b*f) + integrate(1/(a*f*x + a*e + (a*f*x*e^c + a*e*e^c)*e^(d*x)), x) + integrate(-1/(a*f*x + a*e - (a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
430,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{3} {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d} - \frac{2 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{2 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} + \frac{2 \, {\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a b^{2} d}\right)} + \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \frac{d^{4} f^{3} x^{4} + 4 \, d^{4} e f^{2} x^{3} + 6 \, d^{4} e^{2} f x^{2}}{2 \, a d^{4}} - \frac{{\left(a d^{4} f^{3} x^{4} e^{c} + 4 \, a d^{4} e f^{2} x^{3} e^{c} + 6 \, a d^{4} e^{2} f x^{2} e^{c} - 2 \, {\left(b d^{3} f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e f^{2} - d^{2} f^{3}\right)} b x^{2} e^{\left(2 \, c\right)} + 3 \, {\left(d^{3} e^{2} f - 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x e^{\left(2 \, c\right)} - 3 \, {\left(d^{2} e^{2} f - 2 \, d e f^{2} + 2 \, f^{3}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 2 \, {\left(b d^{3} f^{3} x^{3} + 3 \, {\left(d^{3} e f^{2} + d^{2} f^{3}\right)} b x^{2} + 3 \, {\left(d^{3} e^{2} f + 2 \, d^{2} e f^{2} + 2 \, d f^{3}\right)} b x + 3 \, {\left(d^{2} e^{2} f + 2 \, d e f^{2} + 2 \, f^{3}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{4 \, b^{2} d^{4}} + \int -\frac{2 \, {\left({\left(a^{2} b f^{3} + b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{2} b e f^{2} + b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{2} b e^{2} f + b^{3} e^{2} f\right)} x - {\left({\left(a^{3} f^{3} e^{c} + a b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{3} e f^{2} e^{c} + a b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{3} e^{2} f e^{c} + a b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(d x + c\right)} - a b^{3}}\,{d x}"," ",0,"-1/2*e^3*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d) - 2*log(e^(-d*x - c) + 1)/(a*d) - 2*log(e^(-d*x - c) - 1)/(a*d) + 2*(a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*b^2*d)) + 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - 1/2*(d^4*f^3*x^4 + 4*d^4*e*f^2*x^3 + 6*d^4*e^2*f*x^2)/(a*d^4) - 1/4*(a*d^4*f^3*x^4*e^c + 4*a*d^4*e*f^2*x^3*e^c + 6*a*d^4*e^2*f*x^2*e^c - 2*(b*d^3*f^3*x^3*e^(2*c) + 3*(d^3*e*f^2 - d^2*f^3)*b*x^2*e^(2*c) + 3*(d^3*e^2*f - 2*d^2*e*f^2 + 2*d*f^3)*b*x*e^(2*c) - 3*(d^2*e^2*f - 2*d*e*f^2 + 2*f^3)*b*e^(2*c))*e^(d*x) + 2*(b*d^3*f^3*x^3 + 3*(d^3*e*f^2 + d^2*f^3)*b*x^2 + 3*(d^3*e^2*f + 2*d^2*e*f^2 + 2*d*f^3)*b*x + 3*(d^2*e^2*f + 2*d*e*f^2 + 2*f^3)*b)*e^(-d*x))*e^(-c)/(b^2*d^4) + integrate(-2*((a^2*b*f^3 + b^3*f^3)*x^3 + 3*(a^2*b*e*f^2 + b^3*e*f^2)*x^2 + 3*(a^2*b*e^2*f + b^3*e^2*f)*x - ((a^3*f^3*e^c + a*b^2*f^3*e^c)*x^3 + 3*(a^3*e*f^2*e^c + a*b^2*e*f^2*e^c)*x^2 + 3*(a^3*e^2*f*e^c + a*b^2*e^2*f*e^c)*x)*e^(d*x))/(a*b^3*e^(2*d*x + 2*c) + 2*a^2*b^2*e^(d*x + c) - a*b^3), x)","F",0
431,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e^{2} {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d} - \frac{2 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{2 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} + \frac{2 \, {\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a b^{2} d}\right)} + \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \frac{2 \, {\left(d^{3} f^{2} x^{3} + 3 \, d^{3} e f x^{2}\right)}}{3 \, a d^{3}} - \frac{{\left(2 \, a d^{3} f^{2} x^{3} e^{c} + 6 \, a d^{3} e f x^{2} e^{c} - 3 \, {\left(b d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, {\left(d^{2} e f - d f^{2}\right)} b x e^{\left(2 \, c\right)} - 2 \, {\left(d e f - f^{2}\right)} b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + 3 \, {\left(b d^{2} f^{2} x^{2} + 2 \, {\left(d^{2} e f + d f^{2}\right)} b x + 2 \, {\left(d e f + f^{2}\right)} b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{6 \, b^{2} d^{3}} + \int -\frac{2 \, {\left({\left(a^{2} b f^{2} + b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} b e f + b^{3} e f\right)} x - {\left({\left(a^{3} f^{2} e^{c} + a b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} e f e^{c} + a b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(d x + c\right)} - a b^{3}}\,{d x}"," ",0,"-1/2*e^2*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d) - 2*log(e^(-d*x - c) + 1)/(a*d) - 2*log(e^(-d*x - c) - 1)/(a*d) + 2*(a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*b^2*d)) + 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - 2/3*(d^3*f^2*x^3 + 3*d^3*e*f*x^2)/(a*d^3) - 1/6*(2*a*d^3*f^2*x^3*e^c + 6*a*d^3*e*f*x^2*e^c - 3*(b*d^2*f^2*x^2*e^(2*c) + 2*(d^2*e*f - d*f^2)*b*x*e^(2*c) - 2*(d*e*f - f^2)*b*e^(2*c))*e^(d*x) + 3*(b*d^2*f^2*x^2 + 2*(d^2*e*f + d*f^2)*b*x + 2*(d*e*f + f^2)*b)*e^(-d*x))*e^(-c)/(b^2*d^3) + integrate(-2*((a^2*b*f^2 + b^3*f^2)*x^2 + 2*(a^2*b*e*f + b^3*e*f)*x - ((a^3*f^2*e^c + a*b^2*f^2*e^c)*x^2 + 2*(a^3*e*f*e^c + a*b^2*e*f*e^c)*x)*e^(d*x))/(a*b^3*e^(2*d*x + 2*c) + 2*a^2*b^2*e^(d*x + c) - a*b^3), x)","F",0
432,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, e {\left(\frac{2 \, {\left(d x + c\right)} a}{b^{2} d} - \frac{e^{\left(d x + c\right)}}{b d} + \frac{e^{\left(-d x - c\right)}}{b d} - \frac{2 \, \log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{2 \, \log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} + \frac{2 \, {\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a b^{2} d}\right)} - \frac{1}{4} \, f {\left(\frac{2 \, {\left(a d^{2} x^{2} e^{c} - {\left(b d x e^{\left(2 \, c\right)} - b e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)} + {\left(b d x + b\right)} e^{\left(-d x\right)}\right)} e^{\left(-c\right)}}{b^{2} d^{2}} - \int \frac{8 \, {\left({\left(a^{3} e^{c} + a b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{2} b + b^{3}\right)} x\right)}}{a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(d x + c\right)} - a b^{3}}\,{d x} + 4 \, \int \frac{x}{a e^{\left(d x + c\right)} + a}\,{d x} - 4 \, \int \frac{x}{a e^{\left(d x + c\right)} - a}\,{d x}\right)}"," ",0,"-1/2*e*(2*(d*x + c)*a/(b^2*d) - e^(d*x + c)/(b*d) + e^(-d*x - c)/(b*d) - 2*log(e^(-d*x - c) + 1)/(a*d) - 2*log(e^(-d*x - c) - 1)/(a*d) + 2*(a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*b^2*d)) - 1/4*f*(2*(a*d^2*x^2*e^c - (b*d*x*e^(2*c) - b*e^(2*c))*e^(d*x) + (b*d*x + b)*e^(-d*x))*e^(-c)/(b^2*d^2) - integrate(8*((a^3*e^c + a*b^2*e^c)*x*e^(d*x) - (a^2*b + b^3)*x)/(a*b^3*e^(2*d*x + 2*c) + 2*a^2*b^2*e^(d*x + c) - a*b^3), x) + 4*integrate(x/(a*e^(d*x + c) + a), x) - 4*integrate(x/(a*e^(d*x + c) - a), x))","F",0
433,1,130,0,0.314133," ","integrate(cosh(d*x+c)^2*coth(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} a}{b^{2} d} + \frac{e^{\left(d x + c\right)}}{2 \, b d} - \frac{e^{\left(-d x - c\right)}}{2 \, b d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a b^{2} d}"," ",0,"-(d*x + c)*a/(b^2*d) + 1/2*e^(d*x + c)/(b*d) - 1/2*e^(-d*x - c)/(b*d) + log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d) - (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a*b^2*d)","B",0
434,0,0,0,0.000000," ","integrate(cosh(d*x+c)^2*coth(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{e^{\left(-c + \frac{d e}{f}\right)} E_{1}\left(\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{e^{\left(c - \frac{d e}{f}\right)} E_{1}\left(-\frac{{\left(f x + e\right)} d}{f}\right)}{2 \, b f} - \frac{a \log\left(f x + e\right)}{b^{2} f} + \frac{1}{4} \, \int \frac{8 \, {\left(a^{2} b + b^{3} - {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{a b^{3} f x + a b^{3} e - {\left(a b^{3} f x e^{\left(2 \, c\right)} + a b^{3} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{2} b^{2} f x e^{c} + a^{2} b^{2} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{1}{a f x + a e + {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \int -\frac{1}{a f x + a e - {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-1/2*e^(-c + d*e/f)*exp_integral_e(1, (f*x + e)*d/f)/(b*f) - 1/2*e^(c - d*e/f)*exp_integral_e(1, -(f*x + e)*d/f)/(b*f) - a*log(f*x + e)/(b^2*f) + 1/4*integrate(8*(a^2*b + b^3 - (a^3*e^c + a*b^2*e^c)*e^(d*x))/(a*b^3*f*x + a*b^3*e - (a*b^3*f*x*e^(2*c) + a*b^3*e*e^(2*c))*e^(2*d*x) - 2*(a^2*b^2*f*x*e^c + a^2*b^2*e*e^c)*e^(d*x)), x) - integrate(1/(a*f*x + a*e + (a*f*x*e^c + a*e*e^c)*e^(d*x)), x) + integrate(-1/(a*f*x + a*e - (a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
435,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{3} + a b^{2}\right)} d} - \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \frac{d^{4} f^{3} x^{4} + 4 \, d^{4} e f^{2} x^{3} + 6 \, d^{4} e^{2} f x^{2}}{2 \, a d^{4}} + \int \frac{2 \, {\left(b^{3} f^{3} x^{3} + 3 \, b^{3} e f^{2} x^{2} + 3 \, b^{3} e^{2} f x - {\left(a b^{2} f^{3} x^{3} e^{c} + 3 \, a b^{2} e f^{2} x^{2} e^{c} + 3 \, a b^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} b + a b^{3} - {\left(a^{3} b e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int -\frac{2 \, {\left(a f^{3} x^{3} + 3 \, a e f^{2} x^{2} + 3 \, a e^{2} f x - {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-e^3*(b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^3 + a*b^2)*d) - 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - 1/2*(d^4*f^3*x^4 + 4*d^4*e*f^2*x^3 + 6*d^4*e^2*f*x^2)/(a*d^4) + integrate(2*(b^3*f^3*x^3 + 3*b^3*e*f^2*x^2 + 3*b^3*e^2*f*x - (a*b^2*f^3*x^3*e^c + 3*a*b^2*e*f^2*x^2*e^c + 3*a*b^2*e^2*f*x*e^c)*e^(d*x))/(a^3*b + a*b^3 - (a^3*b*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x) - 2*(a^4*e^c + a^2*b^2*e^c)*e^(d*x)), x) - integrate(-2*(a*f^3*x^3 + 3*a*e*f^2*x^2 + 3*a*e^2*f*x - (b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
436,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{3} + a b^{2}\right)} d} - \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \frac{2 \, {\left(d^{3} f^{2} x^{3} + 3 \, d^{3} e f x^{2}\right)}}{3 \, a d^{3}} + \int \frac{2 \, {\left(b^{3} f^{2} x^{2} + 2 \, b^{3} e f x - {\left(a b^{2} f^{2} x^{2} e^{c} + 2 \, a b^{2} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} b + a b^{3} - {\left(a^{3} b e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int -\frac{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x - {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-e^2*(b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^3 + a*b^2)*d) - 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - 2/3*(d^3*f^2*x^3 + 3*d^3*e*f*x^2)/(a*d^3) + integrate(2*(b^3*f^2*x^2 + 2*b^3*e*f*x - (a*b^2*f^2*x^2*e^c + 2*a*b^2*e*f*x*e^c)*e^(d*x))/(a^3*b + a*b^3 - (a^3*b*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x) - 2*(a^4*e^c + a^2*b^2*e^c)*e^(d*x)), x) - integrate(-2*(a*f^2*x^2 + 2*a*e*f*x - (b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
437,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e {\left(\frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{3} + a b^{2}\right)} d} - \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} + 4 \, f \int \frac{2 \, x}{{\left(b {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)} + 2 \, a\right)} {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} {\left(e^{\left(d x + c\right)} - e^{\left(-d x - c\right)}\right)}}\,{d x}"," ",0,"-e*(b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^3 + a*b^2)*d) - 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d)) + 4*f*integrate(2*x/((b*(e^(d*x + c) - e^(-d*x - c)) + 2*a)*(e^(d*x + c) + e^(-d*x - c))*(e^(d*x + c) - e^(-d*x - c))), x)","F",0
438,1,138,0,0.402955," ","integrate(csch(d*x+c)*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{3} + a b^{2}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}"," ",0,"-b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^3 + a*b^2)*d) + 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d)","A",0
439,0,0,0,0.000000," ","integrate(csch(d*x+c)*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\int \frac{\operatorname{csch}\left(d x + c\right) \operatorname{sech}\left(d x + c\right)}{{\left(f x + e\right)} {\left(b \sinh\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(csch(d*x + c)*sech(d*x + c)/((f*x + e)*(b*sinh(d*x + c) + a)), x)","F",0
440,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-3 \, b e^{2} f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} - 6 \, a f^{3} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 6 \, b f^{3} \int \frac{x^{2}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 12 \, a e f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 12 \, b e f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - {\left(\frac{b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{3} + a b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} e^{3} - \frac{6 \, a e^{2} f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{3 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{3 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e^{2} f}{a d^{2}} + \frac{2 \, {\left(b f^{3} x^{3} + 3 \, b e f^{2} x^{2} + 3 \, b e^{2} f x + {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \frac{3 \, {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} e f^{2}}{a d^{3}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} f^{3}}{a d^{4}} - \int -\frac{2 \, {\left(b^{3} f^{3} x^{3} e^{c} + 3 \, b^{3} e f^{2} x^{2} e^{c} + 3 \, b^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{3} b + a b^{3} - {\left(a^{3} b e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-3*b*e^2*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) - 6*a*f^3*integrate(x^2*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 6*b*f^3*integrate(x^2/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 12*a*e*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 12*b*e*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - (b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^3 + a*b^2)*sqrt(a^2 + b^2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) + log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d))*e^3 - 6*a*e^2*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - 3*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e^2*f/(a*d^2) + 3*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e^2*f/(a*d^2) + 2*(b*f^3*x^3 + 3*b*e*f^2*x^2 + 3*b*e^2*f*x + (a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - 3*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*e*f^2/(a*d^3) + 3*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*e*f^2/(a*d^3) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*f^3/(a*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*f^3/(a*d^4) - integrate(-2*(b^3*f^3*x^3*e^c + 3*b^3*e*f^2*x^2*e^c + 3*b^3*e^2*f*x*e^c)*e^(d*x)/(a^3*b + a*b^3 - (a^3*b*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x) - 2*(a^4*e^c + a^2*b^2*e^c)*e^(d*x)), x)","F",0
441,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, b e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} - 4 \, a f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 4 \, b f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - {\left(\frac{b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{3} + a b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} e^{2} - \frac{4 \, a e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{2 \, {\left(b f^{2} x^{2} + 2 \, b e f x + {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \int -\frac{2 \, {\left(b^{3} f^{2} x^{2} e^{c} + 2 \, b^{3} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{3} b + a b^{3} - {\left(a^{3} b e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*b*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) - 4*a*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 4*b*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - (b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^3 + a*b^2)*sqrt(a^2 + b^2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) + log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d))*e^2 - 4*a*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + 2*(b*f^2*x^2 + 2*b*e*f*x + (a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x))/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) - 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - integrate(-2*(b^3*f^2*x^2*e^c + 2*b^3*e*f*x*e^c)*e^(d*x)/(a^3*b + a*b^3 - (a^3*b*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x) - 2*(a^4*e^c + a^2*b^2*e^c)*e^(d*x)), x)","F",0
442,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{3} + a b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} e - {\left(8 \, b^{3} \int -\frac{x e^{\left(d x + c\right)}}{4 \, {\left(a^{3} b + a b^{3} - {\left(a^{3} b e^{\left(2 \, c\right)} + a b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} e^{c} + a^{2} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - \frac{2 \, {\left(a x e^{\left(d x + c\right)} + b x\right)}}{a^{2} d + b^{2} d + {\left(a^{2} d e^{\left(2 \, c\right)} + b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{2 \, b x}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{b \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - 8 \, \int \frac{x}{8 \, {\left(a e^{\left(d x + c\right)} + a\right)}}\,{d x} - 8 \, \int \frac{x}{8 \, {\left(a e^{\left(d x + c\right)} - a\right)}}\,{d x}\right)} f"," ",0,"-(b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^3 + a*b^2)*sqrt(a^2 + b^2)*d) - 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) + log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d))*e - (8*b^3*integrate(-1/4*x*e^(d*x + c)/(a^3*b + a*b^3 - (a^3*b*e^(2*c) + a*b^3*e^(2*c))*e^(2*d*x) - 2*(a^4*e^c + a^2*b^2*e^c)*e^(d*x)), x) - 2*(a*x*e^(d*x + c) + b*x)/(a^2*d + b^2*d + (a^2*d*e^(2*c) + b^2*d*e^(2*c))*e^(2*d*x)) + 2*b*x/((a^2 + b^2)*d) + 2*a*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - b*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2) - 8*integrate(1/8*x/(a*e^(d*x + c) + a), x) - 8*integrate(1/8*x/(a*e^(d*x + c) - a), x))*f","F",0
443,1,168,0,0.400784," ","integrate(csch(d*x+c)*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{3} + a b^{2}\right)} \sqrt{a^{2} + b^{2}} d} + \frac{2 \, {\left(a e^{\left(-d x - c\right)} - b\right)}}{{\left(a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}"," ",0,"-b^3*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^3 + a*b^2)*sqrt(a^2 + b^2)*d) + 2*(a*e^(-d*x - c) - b)/((a^2 + b^2 + (a^2 + b^2)*e^(-2*d*x - 2*c))*d) - log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d)","A",0
444,0,0,0,0.000000," ","integrate(csch(d*x+c)*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-8 \, b^{3} \int -\frac{e^{\left(d x + c\right)}}{4 \, {\left(a^{3} b e + a b^{3} e + {\left(a^{3} b f + a b^{3} f\right)} x - {\left(a^{3} b e e^{\left(2 \, c\right)} + a b^{3} e e^{\left(2 \, c\right)} + {\left(a^{3} b f e^{\left(2 \, c\right)} + a b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} e e^{c} + a^{2} b^{2} e e^{c} + {\left(a^{4} f e^{c} + a^{2} b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} + \frac{2 \, {\left(a e^{\left(d x + c\right)} + b\right)}}{a^{2} d e + b^{2} d e + {\left(a^{2} d f + b^{2} d f\right)} x + {\left(a^{2} d e e^{\left(2 \, c\right)} + b^{2} d e e^{\left(2 \, c\right)} + {\left(a^{2} d f e^{\left(2 \, c\right)} + b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + 8 \, \int \frac{a f e^{\left(d x + c\right)} + b f}{4 \, {\left(a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} + 8 \, \int \frac{1}{8 \, {\left(a f x + a e + {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 8 \, \int -\frac{1}{8 \, {\left(a f x + a e - {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-8*b^3*integrate(-1/4*e^(d*x + c)/(a^3*b*e + a*b^3*e + (a^3*b*f + a*b^3*f)*x - (a^3*b*e*e^(2*c) + a*b^3*e*e^(2*c) + (a^3*b*f*e^(2*c) + a*b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^4*e*e^c + a^2*b^2*e*e^c + (a^4*f*e^c + a^2*b^2*f*e^c)*x)*e^(d*x)), x) + 2*(a*e^(d*x + c) + b)/(a^2*d*e + b^2*d*e + (a^2*d*f + b^2*d*f)*x + (a^2*d*e*e^(2*c) + b^2*d*e*e^(2*c) + (a^2*d*f*e^(2*c) + b^2*d*f*e^(2*c))*x)*e^(2*d*x)) + 8*integrate(1/4*(a*f*e^(d*x + c) + b*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x) + 8*integrate(1/8/(a*f*x + a*e + (a*f*x*e^c + a*e*e^c)*e^(d*x)), x) + 8*integrate(-1/8/(a*f*x + a*e - (a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
445,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-a^{2} b d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 3 \, b^{3} d^{2} f^{2} \int \frac{x^{2} e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 2 \, a^{3} d^{2} f^{2} \int \frac{x^{2}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 4 \, a b^{2} d^{2} f^{2} \int \frac{x^{2}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 2 \, a^{2} b d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - 6 \, b^{3} d^{2} e f \int \frac{x e^{\left(d x + c\right)}}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 4 \, a^{3} d^{2} e f \int \frac{x}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} + 8 \, a b^{2} d^{2} e f \int \frac{x}{a^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + b^{4} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{4} d^{2} + 2 \, a^{2} b^{2} d^{2} + b^{4} d^{2}}\,{d x} - a^{3} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - a b^{2} f^{2} {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}}\right)} - {\left(\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d} - \frac{{\left(a^{2} b + 3 \, b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(a^{3} + 2 \, a b^{2}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} e^{2} + \frac{2 \, a^{2} b f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{2 \, b^{3} f^{2} \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d^{3}} + \frac{2 \, a f^{2} x + 2 \, a e f - {\left(b d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, b e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} b x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + 2 \, {\left(a d f^{2} x^{2} e^{\left(2 \, c\right)} + a e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(b d f^{2} x^{2} e^{c} - 2 \, b e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} b x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{2 \, {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{2 \, {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)} e f}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} f^{2}}{a d^{3}} - \frac{2 \, {\left(d^{3} f^{2} x^{3} + 3 \, d^{3} e f x^{2}\right)}}{3 \, a d^{3}} + \int \frac{2 \, {\left(b^{5} f^{2} x^{2} + 2 \, b^{5} e f x - {\left(a b^{4} f^{2} x^{2} e^{c} + 2 \, a b^{4} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - {\left(a^{5} b e^{\left(2 \, c\right)} + 2 \, a^{3} b^{3} e^{\left(2 \, c\right)} + a b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + 2 \, a^{4} b^{2} e^{c} + a^{2} b^{4} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-a^2*b*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 3*b^3*d^2*f^2*integrate(x^2*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 2*a^3*d^2*f^2*integrate(x^2/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 4*a*b^2*d^2*f^2*integrate(x^2/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 2*a^2*b*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - 6*b^3*d^2*e*f*integrate(x*e^(d*x + c)/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 4*a^3*d^2*e*f*integrate(x/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) + 8*a*b^2*d^2*e*f*integrate(x/(a^4*d^2*e^(2*d*x + 2*c) + 2*a^2*b^2*d^2*e^(2*d*x + 2*c) + b^4*d^2*e^(2*d*x + 2*c) + a^4*d^2 + 2*a^2*b^2*d^2 + b^4*d^2), x) - a^3*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) - a*b^2*f^2*(2*(d*x + c)/((a^4 + 2*a^2*b^2 + b^4)*d^3) - log(e^(2*d*x + 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d^3)) - (b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + 2*a^3*b^2 + a*b^4)*d) - (a^2*b + 3*b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a^3 + 2*a*b^2)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) + (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d))*e^2 + 2*a^2*b*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) + 2*b^3*f^2*arctan(e^(d*x + c))/((a^4 + 2*a^2*b^2 + b^4)*d^3) + (2*a*f^2*x + 2*a*e*f - (b*d*f^2*x^2*e^(3*c) + 2*b*e*f*e^(3*c) + 2*(d*e*f + f^2)*b*x*e^(3*c))*e^(3*d*x) + 2*(a*d*f^2*x^2*e^(2*c) + a*e*f*e^(2*c) + (2*d*e*f + f^2)*a*x*e^(2*c))*e^(2*d*x) + (b*d*f^2*x^2*e^c - 2*b*e*f*e^c + 2*(d*e*f - f^2)*b*x*e^c)*e^(d*x))/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) + 2*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))*e*f/(a*d^2) + 2*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))*e*f/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*f^2/(a*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*f^2/(a*d^3) - 2/3*(d^3*f^2*x^3 + 3*d^3*e*f*x^2)/(a*d^3) + integrate(2*(b^5*f^2*x^2 + 2*b^5*e*f*x - (a*b^4*f^2*x^2*e^c + 2*a*b^4*e*f*x*e^c)*e^(d*x))/(a^5*b + 2*a^3*b^3 + a*b^5 - (a^5*b*e^(2*c) + 2*a^3*b^3*e^(2*c) + a*b^5*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + 2*a^4*b^2*e^c + a^2*b^4*e^c)*e^(d*x)), x)","F",0
446,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d} - \frac{{\left(a^{2} b + 3 \, b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(a^{3} + 2 \, a b^{2}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} - \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} - \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}\right)} e - f {\left(\frac{{\left(b d x e^{\left(3 \, c\right)} + b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d x e^{\left(2 \, c\right)} + a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d x e^{c} - b e^{c}\right)} e^{\left(d x\right)} - a}{a^{2} d^{2} + b^{2} d^{2} + {\left(a^{2} d^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 16 \, \int -\frac{a b^{4} x e^{\left(d x + c\right)} - b^{5} x}{8 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5} - {\left(a^{5} b e^{\left(2 \, c\right)} + 2 \, a^{3} b^{3} e^{\left(2 \, c\right)} + a b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + 2 \, a^{4} b^{2} e^{c} + a^{2} b^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 16 \, \int \frac{{\left(a^{2} b e^{c} + 3 \, b^{3} e^{c}\right)} x e^{\left(d x\right)} - 2 \, {\left(a^{3} + 2 \, a b^{2}\right)} x}{16 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} + 16 \, \int \frac{x}{16 \, {\left(a e^{\left(d x + c\right)} + a\right)}}\,{d x} - 16 \, \int \frac{x}{16 \, {\left(a e^{\left(d x + c\right)} - a\right)}}\,{d x}\right)}"," ",0,"-(b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + 2*a^3*b^2 + a*b^4)*d) - (a^2*b + 3*b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a^3 + 2*a*b^2)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) + (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d) - log(e^(-d*x - c) + 1)/(a*d) - log(e^(-d*x - c) - 1)/(a*d))*e - f*(((b*d*x*e^(3*c) + b*e^(3*c))*e^(3*d*x) - (2*a*d*x*e^(2*c) + a*e^(2*c))*e^(2*d*x) - (b*d*x*e^c - b*e^c)*e^(d*x) - a)/(a^2*d^2 + b^2*d^2 + (a^2*d^2*e^(4*c) + b^2*d^2*e^(4*c))*e^(4*d*x) + 2*(a^2*d^2*e^(2*c) + b^2*d^2*e^(2*c))*e^(2*d*x)) - 16*integrate(-1/8*(a*b^4*x*e^(d*x + c) - b^5*x)/(a^5*b + 2*a^3*b^3 + a*b^5 - (a^5*b*e^(2*c) + 2*a^3*b^3*e^(2*c) + a*b^5*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + 2*a^4*b^2*e^c + a^2*b^4*e^c)*e^(d*x)), x) + 16*integrate(1/16*((a^2*b*e^c + 3*b^3*e^c)*x*e^(d*x) - 2*(a^3 + 2*a*b^2)*x)/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x) + 16*integrate(1/16*x/(a*e^(d*x + c) + a), x) - 16*integrate(1/16*x/(a*e^(d*x + c) - a), x))","F",0
447,1,265,0,0.413837," ","integrate(csch(d*x+c)*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d} + \frac{{\left(a^{2} b + 3 \, b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(a^{3} + 2 \, a b^{2}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{b e^{\left(-d x - c\right)} - 2 \, a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{a d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{a d}"," ",0,"-b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + 2*a^3*b^2 + a*b^4)*d) + (a^2*b + 3*b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (a^3 + 2*a*b^2)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (b*e^(-d*x - c) - 2*a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*d*x - 2*c) + (a^2 + b^2)*e^(-4*d*x - 4*c))*d) + log(e^(-d*x - c) + 1)/(a*d) + log(e^(-d*x - c) - 1)/(a*d)","A",0
448,0,0,0,0.000000," ","integrate(csch(d*x+c)*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a f + {\left(b d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} b e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d f x e^{c} + {\left(d e + f\right)} b e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{2} + b^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + b^{2} d^{2} e f\right)} x + {\left(a^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(4 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(4 \, c\right)} + b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d^{2} f^{2} e^{\left(2 \, c\right)} + b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f e^{\left(2 \, c\right)} + b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} + 16 \, \int -\frac{a b^{4} e^{\left(d x + c\right)} - b^{5}}{8 \, {\left(a^{5} b e + 2 \, a^{3} b^{3} e + a b^{5} e + {\left(a^{5} b f + 2 \, a^{3} b^{3} f + a b^{5} f\right)} x - {\left(a^{5} b e e^{\left(2 \, c\right)} + 2 \, a^{3} b^{3} e e^{\left(2 \, c\right)} + a b^{5} e e^{\left(2 \, c\right)} + {\left(a^{5} b f e^{\left(2 \, c\right)} + 2 \, a^{3} b^{3} f e^{\left(2 \, c\right)} + a b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e e^{c} + 2 \, a^{4} b^{2} e e^{c} + a^{2} b^{4} e e^{c} + {\left(a^{6} f e^{c} + 2 \, a^{4} b^{2} f e^{c} + a^{2} b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} - 16 \, \int -\frac{2 \, {\left(d^{2} e^{2} - f^{2}\right)} a^{3} + 2 \, {\left(2 \, d^{2} e^{2} - f^{2}\right)} a b^{2} + 2 \, {\left(a^{3} d^{2} f^{2} + 2 \, a b^{2} d^{2} f^{2}\right)} x^{2} + 4 \, {\left(a^{3} d^{2} e f + 2 \, a b^{2} d^{2} e f\right)} x - {\left({\left(d^{2} e^{2} - 2 \, f^{2}\right)} a^{2} b e^{c} + {\left(3 \, d^{2} e^{2} - 2 \, f^{2}\right)} b^{3} e^{c} + {\left(a^{2} b d^{2} f^{2} e^{c} + 3 \, b^{3} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} b d^{2} e f e^{c} + 3 \, b^{3} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{16 \, {\left(a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} - 16 \, \int \frac{1}{16 \, {\left(a f x + a e + {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 16 \, \int -\frac{1}{16 \, {\left(a f x + a e - {\left(a f x e^{c} + a e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-(a*f + (b*d*f*x*e^(3*c) + (d*e - f)*b*e^(3*c))*e^(3*d*x) - (2*a*d*f*x*e^(2*c) + (2*d*e - f)*a*e^(2*c))*e^(2*d*x) - (b*d*f*x*e^c + (d*e + f)*b*e^c)*e^(d*x))/(a^2*d^2*e^2 + b^2*d^2*e^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + b^2*d^2*e*f)*x + (a^2*d^2*e^2*e^(4*c) + b^2*d^2*e^2*e^(4*c) + (a^2*d^2*f^2*e^(4*c) + b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^2*d^2*e*f*e^(4*c) + b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + 2*(a^2*d^2*e^2*e^(2*c) + b^2*d^2*e^2*e^(2*c) + (a^2*d^2*f^2*e^(2*c) + b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^2*d^2*e*f*e^(2*c) + b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) + 16*integrate(-1/8*(a*b^4*e^(d*x + c) - b^5)/(a^5*b*e + 2*a^3*b^3*e + a*b^5*e + (a^5*b*f + 2*a^3*b^3*f + a*b^5*f)*x - (a^5*b*e*e^(2*c) + 2*a^3*b^3*e*e^(2*c) + a*b^5*e*e^(2*c) + (a^5*b*f*e^(2*c) + 2*a^3*b^3*f*e^(2*c) + a*b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^6*e*e^c + 2*a^4*b^2*e*e^c + a^2*b^4*e*e^c + (a^6*f*e^c + 2*a^4*b^2*f*e^c + a^2*b^4*f*e^c)*x)*e^(d*x)), x) - 16*integrate(-1/16*(2*(d^2*e^2 - f^2)*a^3 + 2*(2*d^2*e^2 - f^2)*a*b^2 + 2*(a^3*d^2*f^2 + 2*a*b^2*d^2*f^2)*x^2 + 4*(a^3*d^2*e*f + 2*a*b^2*d^2*e*f)*x - ((d^2*e^2 - 2*f^2)*a^2*b*e^c + (3*d^2*e^2 - 2*f^2)*b^3*e^c + (a^2*b*d^2*f^2*e^c + 3*b^3*d^2*f^2*e^c)*x^2 + 2*(a^2*b*d^2*e*f*e^c + 3*b^3*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x) - 16*integrate(1/16/(a*f*x + a*e + (a*f*x*e^c + a*e*e^c)*e^(d*x)), x) + 16*integrate(-1/16/(a*f*x + a*e - (a*f*x*e^c + a*e*e^c)*e^(d*x)), x)","F",0
449,0,0,0,0.000000," ","integrate((f*x+e)^3*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{3} {\left(\frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} + \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} - \frac{2 \, {\left(f^{3} x^{3} e^{c} + 3 \, e f^{2} x^{2} e^{c} + 3 \, e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e^{2} f + 2 \, a e f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - 2 \, a e f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e f^{2} + a f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e f^{2} - a f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} + a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f + 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} - a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f - 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} - \int -\frac{2 \, {\left(b^{2} f^{3} x^{3} + 3 \, b^{2} e f^{2} x^{2} + 3 \, b^{2} e^{2} f x - {\left(a b f^{3} x^{3} e^{c} + 3 \, a b e f^{2} x^{2} e^{c} + 3 \, a b e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}"," ",0,"e^3*(2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) + b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d)) - 2*(f^3*x^3*e^c + 3*e*f^2*x^2*e^c + 3*e^2*f*x*e^c)*e^(d*x)/(a*d*e^(2*d*x + 2*c) - a*d) - 3*e^2*f*log(e^(d*x + c) + 1)/(a*d^2) + 3*e^2*f*log(e^(d*x + c) - 1)/(a*d^2) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*b*f^3/(a^2*d^4) - (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*b*f^3/(a^2*d^4) - 3*(b*d*e^2*f + 2*a*e*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e^2*f - 2*a*e*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e*f^2 + a*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^2*d^4) - 3*(b*d*e*f^2 - a*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 + a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f + 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 - a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f - 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) - integrate(-2*(b^2*f^3*x^3 + 3*b^2*e*f^2*x^2 + 3*b^2*e^2*f*x - (a*b*f^3*x^3*e^c + 3*a*b*e*f^2*x^2*e^c + 3*a*b*e^2*f*x*e^c)*e^(d*x))/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x)","F",0
450,0,0,0,0.000000," ","integrate((f*x+e)^2*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{2} {\left(\frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} + \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} - \frac{2 \, {\left(f^{2} x^{2} e^{c} + 2 \, e f x e^{c}\right)} e^{\left(d x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f + a f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f - a f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f + a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f - a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} - \int -\frac{2 \, {\left(b^{2} f^{2} x^{2} + 2 \, b^{2} e f x - {\left(a b f^{2} x^{2} e^{c} + 2 \, a b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}"," ",0,"e^2*(2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) + b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d)) - 2*(f^2*x^2*e^c + 2*e*f*x*e^c)*e^(d*x)/(a*d*e^(2*d*x + 2*c) - a*d) - 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b*f^2/(a^2*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b*f^2/(a^2*d^3) - 2*(b*d*e*f + a*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 2*(b*d*e*f - a*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f + a*f^2)*d^2*x^2)/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f - a*f^2)*d^2*x^2)/(a^2*d^3) - integrate(-2*(b^2*f^2*x^2 + 2*b^2*e*f*x - (a*b*f^2*x^2*e^c + 2*a*b*e*f*x*e^c)*e^(d*x))/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x)","F",0
451,0,0,0,0.000000," ","integrate((f*x+e)*coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(2 \, b d \int \frac{x}{2 \, {\left(a^{2} d e^{\left(d x + c\right)} + a^{2} d\right)}}\,{d x} - 2 \, b d \int \frac{x}{2 \, {\left(a^{2} d e^{\left(d x + c\right)} - a^{2} d\right)}}\,{d x} + a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} - \frac{2 \, x e^{\left(d x + c\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - 2 \, \int \frac{a b x e^{\left(d x + c\right)} - b^{2} x}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}\right)} f + e {\left(\frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} + \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)}"," ",0,"(2*b*d*integrate(1/2*x/(a^2*d*e^(d*x + c) + a^2*d), x) - 2*b*d*integrate(1/2*x/(a^2*d*e^(d*x + c) - a^2*d), x) + a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) - 2*x*e^(d*x + c)/(a*d*e^(2*d*x + 2*c) - a*d) - 2*integrate((a*b*x*e^(d*x + c) - b^2*x)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x))*f + e*(2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) + b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))","F",0
452,1,110,0,0.316379," ","integrate(coth(d*x+c)*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} + \frac{b \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}"," ",0,"2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) + b*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d)","B",0
453,0,0,0,0.000000," ","integrate(coth(d*x+c)*csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(d x + c\right)}}{a d f x + a d e - {\left(a d f x e^{\left(2 \, c\right)} + a d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 2 \, \int -\frac{b d f x + b d e + a f}{2 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 2 \, \int \frac{b d f x + b d e - a f}{2 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 2 \, \int -\frac{a b e^{\left(d x + c\right)} - b^{2}}{a^{2} b f x + a^{2} b e - {\left(a^{2} b f x e^{\left(2 \, c\right)} + a^{2} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} f x e^{c} + a^{3} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"2*e^(d*x + c)/(a*d*f*x + a*d*e - (a*d*f*x*e^(2*c) + a*d*e*e^(2*c))*e^(2*d*x)) - 2*integrate(-1/2*(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) + 2*integrate(1/2*(b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - 2*integrate(-(a*b*e^(d*x + c) - b^2)/(a^2*b*f*x + a^2*b*e - (a^2*b*f*x*e^(2*c) + a^2*b*e*e^(2*c))*e^(2*d*x) - 2*(a^3*f*x*e^c + a^3*e*e^c)*e^(d*x)), x)","F",0
454,0,0,0,0.000000," ","integrate((f*x+e)^3*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{3} {\left(\frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}\right)} - \frac{6 \, e^{2} f x}{a d} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{2 \, {\left(f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} + \frac{3 \, {\left(b d e^{2} f + 2 \, a e f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - 2 \, a e f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} + \frac{3 \, {\left(b d e f^{2} + a f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e f^{2} - a f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} + a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f + 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} - a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f - 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \int \frac{2 \, {\left({\left(a^{2} f^{3} e^{c} + b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{2} e f^{2} e^{c} + b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{2} e^{2} f e^{c} + b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}"," ",0,"e^3*(b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d)) - 6*e^2*f*x/(a*d) + 3*e^2*f*log(e^(d*x + c) + 1)/(a*d^2) + 3*e^2*f*log(e^(d*x + c) - 1)/(a*d^2) - 2*(f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x)/(a*d*e^(2*d*x + 2*c) - a*d) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*b*f^3/(a^2*d^4) - (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*b*f^3/(a^2*d^4) + 3*(b*d*e^2*f + 2*a*e*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e^2*f - 2*a*e*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) + 3*(b*d*e*f^2 + a*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^2*d^4) - 3*(b*d*e*f^2 - a*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^2*d^4) - 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 + a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f + 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 - a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f - 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + integrate(2*((a^2*f^3*e^c + b^2*f^3*e^c)*x^3 + 3*(a^2*e*f^2*e^c + b^2*e*f^2*e^c)*x^2 + 3*(a^2*e^2*f*e^c + b^2*e^2*f*e^c)*x)*e^(d*x)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x)","F",0
455,0,0,0,0.000000," ","integrate((f*x+e)^2*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{2} {\left(\frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}\right)} - \frac{4 \, e f x}{a d} - \frac{2 \, {\left(f^{2} x^{2} + 2 \, e f x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} + \frac{2 \, {\left(b d e f + a f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f - a f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f + a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f - a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \int \frac{2 \, {\left({\left(a^{2} f^{2} e^{c} + b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} e f e^{c} + b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x}"," ",0,"e^2*(b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d)) - 4*e*f*x/(a*d) - 2*(f^2*x^2 + 2*e*f*x)/(a*d*e^(2*d*x + 2*c) - a*d) + 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b*f^2/(a^2*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b*f^2/(a^2*d^3) + 2*(b*d*e*f + a*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 2*(b*d*e*f - a*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) - 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f + a*f^2)*d^2*x^2)/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f - a*f^2)*d^2*x^2)/(a^2*d^3) + integrate(2*((a^2*f^2*e^c + b^2*f^2*e^c)*x^2 + 2*(a^2*e*f*e^c + b^2*e*f*e^c)*x)*e^(d*x)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x)","F",0
456,0,0,0,0.000000," ","integrate((f*x+e)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(b d \int \frac{x}{a^{2} d e^{\left(d x + c\right)} + a^{2} d}\,{d x} + b d \int \frac{x}{a^{2} d e^{\left(d x + c\right)} - a^{2} d}\,{d x} + a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} + a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} - 2 \, {\left(a^{2} e^{c} + b^{2} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} e^{\left(d x + c\right)} - a^{2} b}\,{d x} + \frac{2 \, x}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d}\right)} f + e {\left(\frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}\right)}"," ",0,"-(b*d*integrate(x/(a^2*d*e^(d*x + c) + a^2*d), x) + b*d*integrate(x/(a^2*d*e^(d*x + c) - a^2*d), x) + a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) + a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) - 2*(a^2*e^c + b^2*e^c)*integrate(x*e^(d*x)/(a^2*b*e^(2*d*x + 2*c) + 2*a^3*e^(d*x + c) - a^2*b), x) + 2*x/(a*d*e^(2*d*x + 2*c) - a*d))*f + e*(b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d))","F",0
457,1,134,0,0.407104," ","integrate(coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a^{2} d} + \frac{2}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d}"," ",0,"b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + sqrt(a^2 + b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(a^2*d) + 2/((a*e^(-2*d*x - 2*c) - a)*d)","A",0
458,0,0,0,0.000000," ","integrate(coth(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, {\left(a^{2} e^{c} + b^{2} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{a^{2} b f x + a^{2} b e - {\left(a^{2} b f x e^{\left(2 \, c\right)} + a^{2} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} f x e^{c} + a^{3} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{2}{a d f x + a d e - {\left(a d f x e^{\left(2 \, c\right)} + a d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \int -\frac{b d f x + b d e + a f}{a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{b d f x + b d e - a f}{a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"2*(a^2*e^c + b^2*e^c)*integrate(-e^(d*x)/(a^2*b*f*x + a^2*b*e - (a^2*b*f*x*e^(2*c) + a^2*b*e*e^(2*c))*e^(2*d*x) - 2*(a^3*f*x*e^c + a^3*e*e^c)*e^(d*x)), x) + 2/(a*d*f*x + a*d*e - (a*d*f*x*e^(2*c) + a*d*e*e^(2*c))*e^(2*d*x)) - integrate(-(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - integrate((b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x)","F",0
459,0,0,0,0.000000," ","integrate((f*x+e)^3*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{3} {\left(\frac{d x + c}{b d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} b d}\right)} - \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{a d f^{3} x^{4} + 4 \, a d e f^{2} x^{3} + 6 \, a d e^{2} f x^{2} - {\left(a d f^{3} x^{4} e^{\left(2 \, c\right)} + 4 \, a d e f^{2} x^{3} e^{\left(2 \, c\right)} + 6 \, a d e^{2} f x^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 8 \, {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{4 \, {\left(a b d e^{\left(2 \, d x + 2 \, c\right)} - a b d\right)}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e^{2} f + 2 \, a e f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - 2 \, a e f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e f^{2} + a f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e f^{2} - a f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} + a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f + 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} - a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f - 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} - \int -\frac{2 \, {\left({\left(a^{2} b f^{3} + b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{2} b e f^{2} + b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{2} b e^{2} f + b^{3} e^{2} f\right)} x - {\left({\left(a^{3} f^{3} e^{c} + a b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{3} e f^{2} e^{c} + a b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{3} e^{2} f e^{c} + a b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} - a^{2} b^{2}}\,{d x}"," ",0,"e^3*((d*x + c)/(b*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*b*d)) - 3*e^2*f*log(e^(d*x + c) + 1)/(a*d^2) + 3*e^2*f*log(e^(d*x + c) - 1)/(a*d^2) - 1/4*(a*d*f^3*x^4 + 4*a*d*e*f^2*x^3 + 6*a*d*e^2*f*x^2 - (a*d*f^3*x^4*e^(2*c) + 4*a*d*e*f^2*x^3*e^(2*c) + 6*a*d*e^2*f*x^2*e^(2*c))*e^(2*d*x) + 8*(b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x))/(a*b*d*e^(2*d*x + 2*c) - a*b*d) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*b*f^3/(a^2*d^4) - (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*b*f^3/(a^2*d^4) - 3*(b*d*e^2*f + 2*a*e*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e^2*f - 2*a*e*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e*f^2 + a*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^2*d^4) - 3*(b*d*e*f^2 - a*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 + a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f + 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 - a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f - 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) - integrate(-2*((a^2*b*f^3 + b^3*f^3)*x^3 + 3*(a^2*b*e*f^2 + b^3*e*f^2)*x^2 + 3*(a^2*b*e^2*f + b^3*e^2*f)*x - ((a^3*f^3*e^c + a*b^2*f^3*e^c)*x^3 + 3*(a^3*e*f^2*e^c + a*b^2*e*f^2*e^c)*x^2 + 3*(a^3*e^2*f*e^c + a*b^2*e^2*f*e^c)*x)*e^(d*x))/(a^2*b^2*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) - a^2*b^2), x)","F",0
460,0,0,0,0.000000," ","integrate((f*x+e)^2*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","e^{2} {\left(\frac{d x + c}{b d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} b d}\right)} - \frac{a d f^{2} x^{3} + 3 \, a d e f x^{2} - {\left(a d f^{2} x^{3} e^{\left(2 \, c\right)} + 3 \, a d e f x^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 6 \, {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}}{3 \, {\left(a b d e^{\left(2 \, d x + 2 \, c\right)} - a b d\right)}} - \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f + a f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f - a f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f + a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f - a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} - \int -\frac{2 \, {\left({\left(a^{2} b f^{2} + b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} b e f + b^{3} e f\right)} x - {\left({\left(a^{3} f^{2} e^{c} + a b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} e f e^{c} + a b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} - a^{2} b^{2}}\,{d x}"," ",0,"e^2*((d*x + c)/(b*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*b*d)) - 1/3*(a*d*f^2*x^3 + 3*a*d*e*f*x^2 - (a*d*f^2*x^3*e^(2*c) + 3*a*d*e*f*x^2*e^(2*c))*e^(2*d*x) + 6*(b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x))/(a*b*d*e^(2*d*x + 2*c) - a*b*d) - 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b*f^2/(a^2*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b*f^2/(a^2*d^3) - 2*(b*d*e*f + a*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 2*(b*d*e*f - a*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f + a*f^2)*d^2*x^2)/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f - a*f^2)*d^2*x^2)/(a^2*d^3) - integrate(-2*((a^2*b*f^2 + b^3*f^2)*x^2 + 2*(a^2*b*e*f + b^3*e*f)*x - ((a^3*f^2*e^c + a*b^2*f^2*e^c)*x^2 + 2*(a^3*e*f*e^c + a*b^2*e*f*e^c)*x)*e^(d*x))/(a^2*b^2*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) - a^2*b^2), x)","F",0
461,0,0,0,0.000000," ","integrate((f*x+e)*cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(2 \, b d \int \frac{x}{a^{2} d e^{\left(d x + c\right)} + a^{2} d}\,{d x} - 2 \, b d \int \frac{x}{a^{2} d e^{\left(d x + c\right)} - a^{2} d}\,{d x} + 2 \, a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} - 2 \, a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} + \frac{a d x^{2} e^{\left(2 \, d x + 2 \, c\right)} - a d x^{2} - 4 \, b x e^{\left(d x + c\right)}}{a b d e^{\left(2 \, d x + 2 \, c\right)} - a b d} - \int \frac{4 \, {\left({\left(a^{3} e^{c} + a b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{2} b + b^{3}\right)} x\right)}}{a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} - a^{2} b^{2}}\,{d x}\right)} f + e {\left(\frac{d x + c}{b d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} b d}\right)}"," ",0,"1/2*(2*b*d*integrate(x/(a^2*d*e^(d*x + c) + a^2*d), x) - 2*b*d*integrate(x/(a^2*d*e^(d*x + c) - a^2*d), x) + 2*a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) - 2*a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) + (a*d*x^2*e^(2*d*x + 2*c) - a*d*x^2 - 4*b*x*e^(d*x + c))/(a*b*d*e^(2*d*x + 2*c) - a*b*d) - integrate(4*((a^3*e^c + a*b^2*e^c)*x*e^(d*x) - (a^2*b + b^3)*x)/(a^2*b^2*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) - a^2*b^2), x))*f + e*((d*x + c)/(b*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*b*d))","F",0
462,1,131,0,0.332241," ","integrate(cosh(d*x+c)*coth(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{b d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{2} b d}"," ",0,"(d*x + c)/(b*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^2*b*d)","B",0
463,0,0,0,0.000000," ","integrate(cosh(d*x+c)*coth(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(d x + c\right)}}{a d f x + a d e - {\left(a d f x e^{\left(2 \, c\right)} + a d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{\log\left(f x + e\right)}{b f} - \frac{1}{2} \, \int -\frac{2 \, {\left(b d f x + b d e + a f\right)}}{a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \frac{1}{2} \, \int \frac{2 \, {\left(b d f x + b d e - a f\right)}}{a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{1}{2} \, \int \frac{4 \, {\left(a^{2} b + b^{3} - {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} b^{2} f x + a^{2} b^{2} e - {\left(a^{2} b^{2} f x e^{\left(2 \, c\right)} + a^{2} b^{2} e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{3} b f x e^{c} + a^{3} b e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"2*e^(d*x + c)/(a*d*f*x + a*d*e - (a*d*f*x*e^(2*c) + a*d*e*e^(2*c))*e^(2*d*x)) + log(f*x + e)/(b*f) - 1/2*integrate(-2*(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) + 1/2*integrate(2*(b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - 1/2*integrate(4*(a^2*b + b^3 - (a^3*e^c + a*b^2*e^c)*e^(d*x))/(a^2*b^2*f*x + a^2*b^2*e - (a^2*b^2*f*x*e^(2*c) + a^2*b^2*e*e^(2*c))*e^(2*d*x) - 2*(a^3*b*f*x*e^c + a^3*b*e*e^c)*e^(d*x)), x)","F",0
464,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + a^{2} b^{2}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} e^{3} - \frac{2 \, {\left(f^{3} x^{3} e^{c} + 3 \, e f^{2} x^{2} e^{c} + 3 \, e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{3 \, e^{2} f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} b f^{3}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e^{2} f + 2 \, a e f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - 2 \, a e f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{3 \, {\left(b d e f^{2} + a f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} - \frac{3 \, {\left(b d e f^{2} - a f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} + a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f + 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} + \frac{b d^{4} f^{3} x^{4} + 4 \, {\left(b d e f^{2} - a f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b d^{2} e^{2} f - 2 \, a d e f^{2}\right)} d^{2} x^{2}}{4 \, a^{2} d^{4}} - \int \frac{2 \, {\left(b^{4} f^{3} x^{3} + 3 \, b^{4} e f^{2} x^{2} + 3 \, b^{4} e^{2} f x - {\left(a b^{3} f^{3} x^{3} e^{c} + 3 \, a b^{3} e f^{2} x^{2} e^{c} + 3 \, a b^{3} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{4} b + a^{2} b^{3} - {\left(a^{4} b e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{2 \, {\left(b f^{3} x^{3} + 3 \, b e f^{2} x^{2} + 3 \, b e^{2} f x + {\left(a f^{3} x^{3} e^{c} + 3 \, a e f^{2} x^{2} e^{c} + 3 \, a e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"(b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + a^2*b^2)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))*e^3 - 2*(f^3*x^3*e^c + 3*e*f^2*x^2*e^c + 3*e^2*f*x*e^c)*e^(d*x)/(a*d*e^(2*d*x + 2*c) - a*d) - 3*e^2*f*log(e^(d*x + c) + 1)/(a*d^2) + 3*e^2*f*log(e^(d*x + c) - 1)/(a*d^2) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*b*f^3/(a^2*d^4) - (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*b*f^3/(a^2*d^4) - 3*(b*d*e^2*f + 2*a*e*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e^2*f - 2*a*e*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) - 3*(b*d*e*f^2 + a*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^2*d^4) - 3*(b*d*e*f^2 - a*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 + a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f + 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) + 1/4*(b*d^4*f^3*x^4 + 4*(b*d*e*f^2 - a*f^3)*d^3*x^3 + 6*(b*d^2*e^2*f - 2*a*d*e*f^2)*d^2*x^2)/(a^2*d^4) - integrate(2*(b^4*f^3*x^3 + 3*b^4*e*f^2*x^2 + 3*b^4*e^2*f*x - (a*b^3*f^3*x^3*e^c + 3*a*b^3*e*f^2*x^2*e^c + 3*a*b^3*e^2*f*x*e^c)*e^(d*x))/(a^4*b + a^2*b^3 - (a^4*b*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + a^3*b^2*e^c)*e^(d*x)), x) - integrate(2*(b*f^3*x^3 + 3*b*e*f^2*x^2 + 3*b*e^2*f*x + (a*f^3*x^3*e^c + 3*a*e*f^2*x^2*e^c + 3*a*e^2*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
465,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + a^{2} b^{2}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} e^{2} - \frac{2 \, {\left(f^{2} x^{2} e^{c} + 2 \, e f x e^{c}\right)} e^{\left(d x\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f + a f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f - a f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f + a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f - a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} - \int \frac{2 \, {\left(b^{4} f^{2} x^{2} + 2 \, b^{4} e f x - {\left(a b^{3} f^{2} x^{2} e^{c} + 2 \, a b^{3} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{4} b + a^{2} b^{3} - {\left(a^{4} b e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{2 \, {\left(b f^{2} x^{2} + 2 \, b e f x + {\left(a f^{2} x^{2} e^{c} + 2 \, a e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"(b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + a^2*b^2)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))*e^2 - 2*(f^2*x^2*e^c + 2*e*f*x*e^c)*e^(d*x)/(a*d*e^(2*d*x + 2*c) - a*d) - 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b*f^2/(a^2*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b*f^2/(a^2*d^3) - 2*(b*d*e*f + a*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 2*(b*d*e*f - a*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f + a*f^2)*d^2*x^2)/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f - a*f^2)*d^2*x^2)/(a^2*d^3) - integrate(2*(b^4*f^2*x^2 + 2*b^4*e*f*x - (a*b^3*f^2*x^2*e^c + 2*a*b^3*e*f*x*e^c)*e^(d*x))/(a^4*b + a^2*b^3 - (a^4*b*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + a^3*b^2*e^c)*e^(d*x)), x) - integrate(2*(b*f^2*x^2 + 2*b*e*f*x + (a*f^2*x^2*e^c + 2*a*e*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
466,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + a^{2} b^{2}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} e + {\left(8 \, b d \int \frac{x}{8 \, {\left(a^{2} d e^{\left(d x + c\right)} + a^{2} d\right)}}\,{d x} - 8 \, b d \int \frac{x}{8 \, {\left(a^{2} d e^{\left(d x + c\right)} - a^{2} d\right)}}\,{d x} + a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} - \frac{2 \, x e^{\left(d x + c\right)}}{a d e^{\left(2 \, d x + 2 \, c\right)} - a d} - 8 \, \int -\frac{a b^{3} x e^{\left(d x + c\right)} - b^{4} x}{4 \, {\left(a^{4} b + a^{2} b^{3} - {\left(a^{4} b e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 8 \, \int \frac{a x e^{\left(d x + c\right)} + b x}{4 \, {\left(a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)} f"," ",0,"(b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + a^2*b^2)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))*e + (8*b*d*integrate(1/8*x/(a^2*d*e^(d*x + c) + a^2*d), x) - 8*b*d*integrate(1/8*x/(a^2*d*e^(d*x + c) - a^2*d), x) + a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) - 2*x*e^(d*x + c)/(a*d*e^(2*d*x + 2*c) - a*d) - 8*integrate(-1/4*(a*b^3*x*e^(d*x + c) - b^4*x)/(a^4*b + a^2*b^3 - (a^4*b*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + a^3*b^2*e^c)*e^(d*x)), x) - 8*integrate(1/4*(a*x*e^(d*x + c) + b*x)/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x))*f","F",0
467,1,173,0,0.423946," ","integrate(csch(d*x+c)^2*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b^{3} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{4} + a^{2} b^{2}\right)} d} + \frac{2 \, a \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{b \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, e^{\left(-d x - c\right)}}{{\left(a e^{\left(-2 \, d x - 2 \, c\right)} - a\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}"," ",0,"b^3*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^4 + a^2*b^2)*d) + 2*a*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + b*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*e^(-d*x - c)/((a*e^(-2*d*x - 2*c) - a)*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d)","A",0
468,0,0,0,0.000000," ","integrate(csch(d*x+c)^2*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(d x + c\right)}}{a d f x + a d e - {\left(a d f x e^{\left(2 \, c\right)} + a d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 8 \, \int -\frac{a b^{3} e^{\left(d x + c\right)} - b^{4}}{4 \, {\left(a^{4} b e + a^{2} b^{3} e + {\left(a^{4} b f + a^{2} b^{3} f\right)} x - {\left(a^{4} b e e^{\left(2 \, c\right)} + a^{2} b^{3} e e^{\left(2 \, c\right)} + {\left(a^{4} b f e^{\left(2 \, c\right)} + a^{2} b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e e^{c} + a^{3} b^{2} e e^{c} + {\left(a^{5} f e^{c} + a^{3} b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} - 8 \, \int -\frac{b d f x + b d e + a f}{8 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 8 \, \int \frac{b d f x + b d e - a f}{8 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 8 \, \int \frac{a e^{\left(d x + c\right)} + b}{4 \, {\left(a^{2} e + b^{2} e + {\left(a^{2} f + b^{2} f\right)} x + {\left(a^{2} e e^{\left(2 \, c\right)} + b^{2} e e^{\left(2 \, c\right)} + {\left(a^{2} f e^{\left(2 \, c\right)} + b^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"2*e^(d*x + c)/(a*d*f*x + a*d*e - (a*d*f*x*e^(2*c) + a*d*e*e^(2*c))*e^(2*d*x)) - 8*integrate(-1/4*(a*b^3*e^(d*x + c) - b^4)/(a^4*b*e + a^2*b^3*e + (a^4*b*f + a^2*b^3*f)*x - (a^4*b*e*e^(2*c) + a^2*b^3*e*e^(2*c) + (a^4*b*f*e^(2*c) + a^2*b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*e*e^c + a^3*b^2*e*e^c + (a^5*f*e^c + a^3*b^2*f*e^c)*x)*e^(d*x)), x) - 8*integrate(-1/8*(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) + 8*integrate(1/8*(b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - 8*integrate(1/4*(a*e^(d*x + c) + b)/(a^2*e + b^2*e + (a^2*f + b^2*f)*x + (a^2*e*e^(2*c) + b^2*e*e^(2*c) + (a^2*f*e^(2*c) + b^2*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
469,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, a e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} + 4 \, b f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - 4 \, a f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + {\left(\frac{b^{4} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a b e^{\left(-d x - c\right)} + b^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a b e^{\left(-3 \, d x - 3 \, c\right)} + 2 \, a^{2} + b^{2}\right)}}{{\left(a^{3} + a b^{2} - {\left(a^{3} + a b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} e^{2} - \frac{4 \, e f x}{a d} + \frac{4 \, b e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{2 \, {\left({\left(2 \, a^{2} f^{2} + b^{2} f^{2}\right)} x^{2} + 2 \, {\left(2 \, a^{2} e f + b^{2} e f\right)} x + {\left(a b f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a b e f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(b^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, b^{2} e f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(a b f^{2} x^{2} e^{c} + 2 \, a b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} d + a b^{2} d - {\left(a^{3} d e^{\left(4 \, c\right)} + a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} + 1\right)}{a d^{2}} + \frac{2 \, e f \log\left(e^{\left(d x + c\right)} - 1\right)}{a d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b f^{2}}{a^{2} d^{3}} + \frac{2 \, {\left(b d e f + a f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{2 \, {\left(b d e f - a f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{2} d^{3}} - \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f + a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \frac{b d^{3} f^{2} x^{3} + 3 \, {\left(b d e f - a f^{2}\right)} d^{2} x^{2}}{3 \, a^{2} d^{3}} + \int -\frac{2 \, {\left(b^{4} f^{2} x^{2} e^{c} + 2 \, b^{4} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{4} b + a^{2} b^{3} - {\left(a^{4} b e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-2*a*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) + 4*b*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 4*a*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + (b^4*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)*d) - 2*(a*b*e^(-d*x - c) + b^2*e^(-2*d*x - 2*c) - a*b*e^(-3*d*x - 3*c) + 2*a^2 + b^2)/((a^3 + a*b^2 - (a^3 + a*b^2)*e^(-4*d*x - 4*c))*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))*e^2 - 4*e*f*x/(a*d) + 4*b*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + 2*((2*a^2*f^2 + b^2*f^2)*x^2 + 2*(2*a^2*e*f + b^2*e*f)*x + (a*b*f^2*x^2*e^(3*c) + 2*a*b*e*f*x*e^(3*c))*e^(3*d*x) + (b^2*f^2*x^2*e^(2*c) + 2*b^2*e*f*x*e^(2*c))*e^(2*d*x) - (a*b*f^2*x^2*e^c + 2*a*b*e*f*x*e^c)*e^(d*x))/(a^3*d + a*b^2*d - (a^3*d*e^(4*c) + a*b^2*d*e^(4*c))*e^(4*d*x)) + 2*e*f*log(e^(d*x + c) + 1)/(a*d^2) + 2*e*f*log(e^(d*x + c) - 1)/(a*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b*f^2/(a^2*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b*f^2/(a^2*d^3) + 2*(b*d*e*f + a*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^2*d^3) - 2*(b*d*e*f - a*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^2*d^3) - 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f + a*f^2)*d^2*x^2)/(a^2*d^3) + 1/3*(b*d^3*f^2*x^3 + 3*(b*d*e*f - a*f^2)*d^2*x^2)/(a^2*d^3) + integrate(-2*(b^4*f^2*x^2*e^c + 2*b^4*e*f*x*e^c)*e^(d*x)/(a^4*b + a^2*b^3 - (a^4*b*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + a^3*b^2*e^c)*e^(d*x)), x)","F",0
470,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{b^{4} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a b e^{\left(-d x - c\right)} + b^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a b e^{\left(-3 \, d x - 3 \, c\right)} + 2 \, a^{2} + b^{2}\right)}}{{\left(a^{3} + a b^{2} - {\left(a^{3} + a b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} e + {\left(16 \, b^{4} \int -\frac{x e^{\left(d x + c\right)}}{8 \, {\left(a^{4} b + a^{2} b^{3} - {\left(a^{4} b e^{\left(2 \, c\right)} + a^{2} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e^{c} + a^{3} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 16 \, b d \int \frac{x}{16 \, {\left(a^{2} d e^{\left(d x + c\right)} + a^{2} d\right)}}\,{d x} - 16 \, b d \int \frac{x}{16 \, {\left(a^{2} d e^{\left(d x + c\right)} - a^{2} d\right)}}\,{d x} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} + \frac{2 \, {\left(a b x e^{\left(3 \, d x + 3 \, c\right)} + b^{2} x e^{\left(2 \, d x + 2 \, c\right)} - a b x e^{\left(d x + c\right)} + {\left(2 \, a^{2} + b^{2}\right)} x\right)}}{a^{3} d + a b^{2} d - {\left(a^{3} d e^{\left(4 \, c\right)} + a b^{2} d e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}} - \frac{2 \, a x}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{a \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} f"," ",0,"(b^4*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)*d) - 2*(a*b*e^(-d*x - c) + b^2*e^(-2*d*x - 2*c) - a*b*e^(-3*d*x - 3*c) + 2*a^2 + b^2)/((a^3 + a*b^2 - (a^3 + a*b^2)*e^(-4*d*x - 4*c))*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))*e + (16*b^4*integrate(-1/8*x*e^(d*x + c)/(a^4*b + a^2*b^3 - (a^4*b*e^(2*c) + a^2*b^3*e^(2*c))*e^(2*d*x) - 2*(a^5*e^c + a^3*b^2*e^c)*e^(d*x)), x) - 16*b*d*integrate(1/16*x/(a^2*d*e^(d*x + c) + a^2*d), x) - 16*b*d*integrate(1/16*x/(a^2*d*e^(d*x + c) - a^2*d), x) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) + 2*(a*b*x*e^(3*d*x + 3*c) + b^2*x*e^(2*d*x + 2*c) - a*b*x*e^(d*x + c) + (2*a^2 + b^2)*x)/(a^3*d + a*b^2*d - (a^3*d*e^(4*c) + a*b^2*d*e^(4*c))*e^(4*d*x)) - 2*a*x/((a^2 + b^2)*d) + 2*b*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + a*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2))*f","F",0
471,1,208,0,0.409898," ","integrate(csch(d*x+c)^2*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b^{4} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{2 \, {\left(a b e^{\left(-d x - c\right)} + b^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a b e^{\left(-3 \, d x - 3 \, c\right)} + 2 \, a^{2} + b^{2}\right)}}{{\left(a^{3} + a b^{2} - {\left(a^{3} + a b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} + \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}"," ",0,"b^4*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)*d) - 2*(a*b*e^(-d*x - c) + b^2*e^(-2*d*x - 2*c) - a*b*e^(-3*d*x - 3*c) + 2*a^2 + b^2)/((a^3 + a*b^2 - (a^3 + a*b^2)*e^(-4*d*x - 4*c))*d) + b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d)","A",0
472,0,0,0,0.000000," ","integrate(csch(d*x+c)^2*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","16 \, b^{4} \int -\frac{e^{\left(d x + c\right)}}{8 \, {\left(a^{4} b e + a^{2} b^{3} e + {\left(a^{4} b f + a^{2} b^{3} f\right)} x - {\left(a^{4} b e e^{\left(2 \, c\right)} + a^{2} b^{3} e e^{\left(2 \, c\right)} + {\left(a^{4} b f e^{\left(2 \, c\right)} + a^{2} b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{5} e e^{c} + a^{3} b^{2} e e^{c} + {\left(a^{5} f e^{c} + a^{3} b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} + \frac{2 \, {\left(a b e^{\left(3 \, d x + 3 \, c\right)} + b^{2} e^{\left(2 \, d x + 2 \, c\right)} - a b e^{\left(d x + c\right)} + 2 \, a^{2} + b^{2}\right)}}{a^{3} d e + a b^{2} d e + {\left(a^{3} d f + a b^{2} d f\right)} x - {\left(a^{3} d e e^{\left(4 \, c\right)} + a b^{2} d e e^{\left(4 \, c\right)} + {\left(a^{3} d f e^{\left(4 \, c\right)} + a b^{2} d f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)}} - 16 \, \int -\frac{b d f x + b d e + a f}{16 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 16 \, \int \frac{b d f x + b d e - a f}{16 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 16 \, \int \frac{b f e^{\left(d x + c\right)} - a f}{8 \, {\left(a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"16*b^4*integrate(-1/8*e^(d*x + c)/(a^4*b*e + a^2*b^3*e + (a^4*b*f + a^2*b^3*f)*x - (a^4*b*e*e^(2*c) + a^2*b^3*e*e^(2*c) + (a^4*b*f*e^(2*c) + a^2*b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^5*e*e^c + a^3*b^2*e*e^c + (a^5*f*e^c + a^3*b^2*f*e^c)*x)*e^(d*x)), x) + 2*(a*b*e^(3*d*x + 3*c) + b^2*e^(2*d*x + 2*c) - a*b*e^(d*x + c) + 2*a^2 + b^2)/(a^3*d*e + a*b^2*d*e + (a^3*d*f + a*b^2*d*f)*x - (a^3*d*e*e^(4*c) + a*b^2*d*e*e^(4*c) + (a^3*d*f*e^(4*c) + a*b^2*d*f*e^(4*c))*x)*e^(4*d*x)) - 16*integrate(-1/16*(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - 16*integrate(1/16*(b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) - 16*integrate(1/8*(b*f*e^(d*x + c) - a*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
473,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(\frac{b^{5} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} d} + \frac{{\left(3 \, a^{3} + 5 \, a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(a^{2} b + 2 \, b^{3}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{2 \, a b e^{\left(-2 \, d x - 2 \, c\right)} - 2 \, a b e^{\left(-4 \, d x - 4 \, c\right)} + {\left(3 \, a^{2} + 2 \, b^{2}\right)} e^{\left(-d x - c\right)} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(3 \, a^{2} + 2 \, b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{{\left(a^{3} + a b^{2} + {\left(a^{3} + a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(a^{3} + a b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - {\left(a^{3} + a b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}\right)} e + {\left(32 \, b d \int \frac{x}{32 \, {\left(a^{2} d e^{\left(d x + c\right)} + a^{2} d\right)}}\,{d x} - 32 \, b d \int \frac{x}{32 \, {\left(a^{2} d e^{\left(d x + c\right)} - a^{2} d\right)}}\,{d x} + a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{2}}\right)} - a {\left(\frac{d x + c}{a^{2} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{2}}\right)} - \frac{2 \, a b d x e^{\left(2 \, d x + 2 \, c\right)} - 2 \, {\left(a^{2} d e^{\left(3 \, c\right)} + 2 \, b^{2} d e^{\left(3 \, c\right)}\right)} x e^{\left(3 \, d x\right)} + a b - {\left(a^{2} e^{\left(5 \, c\right)} + {\left(3 \, a^{2} d e^{\left(5 \, c\right)} + 2 \, b^{2} d e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} - {\left(2 \, a b d x e^{\left(4 \, c\right)} + a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(a^{2} e^{c} - {\left(3 \, a^{2} d e^{c} + 2 \, b^{2} d e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{3} d^{2} + a b^{2} d^{2} - {\left(a^{3} d^{2} e^{\left(6 \, c\right)} + a b^{2} d^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(a^{3} d^{2} e^{\left(4 \, c\right)} + a b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(a^{3} d^{2} e^{\left(2 \, c\right)} + a b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 32 \, \int -\frac{a b^{5} x e^{\left(d x + c\right)} - b^{6} x}{16 \, {\left(a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5} - {\left(a^{6} b e^{\left(2 \, c\right)} + 2 \, a^{4} b^{3} e^{\left(2 \, c\right)} + a^{2} b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{7} e^{c} + 2 \, a^{5} b^{2} e^{c} + a^{3} b^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 32 \, \int \frac{{\left(3 \, a^{3} e^{c} + 5 \, a b^{2} e^{c}\right)} x e^{\left(d x\right)} + 2 \, {\left(a^{2} b + 2 \, b^{3}\right)} x}{32 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)} f"," ",0,"(b^5*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^6 + 2*a^4*b^2 + a^2*b^4)*d) + (3*a^3 + 5*a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a^2*b + 2*b^3)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (2*a*b*e^(-2*d*x - 2*c) - 2*a*b*e^(-4*d*x - 4*c) + (3*a^2 + 2*b^2)*e^(-d*x - c) + 2*(a^2 + 2*b^2)*e^(-3*d*x - 3*c) + (3*a^2 + 2*b^2)*e^(-5*d*x - 5*c))/((a^3 + a*b^2 + (a^3 + a*b^2)*e^(-2*d*x - 2*c) - (a^3 + a*b^2)*e^(-4*d*x - 4*c) - (a^3 + a*b^2)*e^(-6*d*x - 6*c))*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d))*e + (32*b*d*integrate(1/32*x/(a^2*d*e^(d*x + c) + a^2*d), x) - 32*b*d*integrate(1/32*x/(a^2*d*e^(d*x + c) - a^2*d), x) + a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) + 1)/(a^2*d^2)) - a*((d*x + c)/(a^2*d^2) - log(e^(d*x + c) - 1)/(a^2*d^2)) - (2*a*b*d*x*e^(2*d*x + 2*c) - 2*(a^2*d*e^(3*c) + 2*b^2*d*e^(3*c))*x*e^(3*d*x) + a*b - (a^2*e^(5*c) + (3*a^2*d*e^(5*c) + 2*b^2*d*e^(5*c))*x)*e^(5*d*x) - (2*a*b*d*x*e^(4*c) + a*b*e^(4*c))*e^(4*d*x) + (a^2*e^c - (3*a^2*d*e^c + 2*b^2*d*e^c)*x)*e^(d*x))/(a^3*d^2 + a*b^2*d^2 - (a^3*d^2*e^(6*c) + a*b^2*d^2*e^(6*c))*e^(6*d*x) - (a^3*d^2*e^(4*c) + a*b^2*d^2*e^(4*c))*e^(4*d*x) + (a^3*d^2*e^(2*c) + a*b^2*d^2*e^(2*c))*e^(2*d*x)) - 32*integrate(-1/16*(a*b^5*x*e^(d*x + c) - b^6*x)/(a^6*b + 2*a^4*b^3 + a^2*b^5 - (a^6*b*e^(2*c) + 2*a^4*b^3*e^(2*c) + a^2*b^5*e^(2*c))*e^(2*d*x) - 2*(a^7*e^c + 2*a^5*b^2*e^c + a^3*b^4*e^c)*e^(d*x)), x) - 32*integrate(1/32*((3*a^3*e^c + 5*a*b^2*e^c)*x*e^(d*x) + 2*(a^2*b + 2*b^3)*x)/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x))*f","F",0
474,1,350,0,0.418066," ","integrate(csch(d*x+c)^2*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{b^{5} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} d} + \frac{{\left(3 \, a^{3} + 5 \, a b^{2}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(a^{2} b + 2 \, b^{3}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{2 \, a b e^{\left(-2 \, d x - 2 \, c\right)} - 2 \, a b e^{\left(-4 \, d x - 4 \, c\right)} + {\left(3 \, a^{2} + 2 \, b^{2}\right)} e^{\left(-d x - c\right)} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(3 \, a^{2} + 2 \, b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{{\left(a^{3} + a b^{2} + {\left(a^{3} + a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(a^{3} + a b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - {\left(a^{3} + a b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d} - \frac{b \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{2} d} - \frac{b \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{2} d}"," ",0,"b^5*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^6 + 2*a^4*b^2 + a^2*b^4)*d) + (3*a^3 + 5*a*b^2)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (a^2*b + 2*b^3)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (2*a*b*e^(-2*d*x - 2*c) - 2*a*b*e^(-4*d*x - 4*c) + (3*a^2 + 2*b^2)*e^(-d*x - c) + 2*(a^2 + 2*b^2)*e^(-3*d*x - 3*c) + (3*a^2 + 2*b^2)*e^(-5*d*x - 5*c))/((a^3 + a*b^2 + (a^3 + a*b^2)*e^(-2*d*x - 2*c) - (a^3 + a*b^2)*e^(-4*d*x - 4*c) - (a^3 + a*b^2)*e^(-6*d*x - 6*c))*d) - b*log(e^(-d*x - c) + 1)/(a^2*d) - b*log(e^(-d*x - c) - 1)/(a^2*d)","A",0
475,0,0,0,0.000000," ","integrate(csch(d*x+c)^2*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a b f + {\left(2 \, b^{2} d e e^{\left(5 \, c\right)} + {\left(3 \, d e - f\right)} a^{2} e^{\left(5 \, c\right)} + {\left(3 \, a^{2} d f e^{\left(5 \, c\right)} + 2 \, b^{2} d f e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} + {\left(2 \, a b d f x e^{\left(4 \, c\right)} + {\left(2 \, d e - f\right)} a b e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + 2 \, {\left(a^{2} d e e^{\left(3 \, c\right)} + 2 \, b^{2} d e e^{\left(3 \, c\right)} + {\left(a^{2} d f e^{\left(3 \, c\right)} + 2 \, b^{2} d f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(a b d f x e^{\left(2 \, c\right)} + a b d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(2 \, b^{2} d e e^{c} + {\left(3 \, d e + f\right)} a^{2} e^{c} + {\left(3 \, a^{2} d f e^{c} + 2 \, b^{2} d f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{3} d^{2} e^{2} + a b^{2} d^{2} e^{2} + {\left(a^{3} d^{2} f^{2} + a b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{3} d^{2} e f + a b^{2} d^{2} e f\right)} x - {\left(a^{3} d^{2} e^{2} e^{\left(6 \, c\right)} + a b^{2} d^{2} e^{2} e^{\left(6 \, c\right)} + {\left(a^{3} d^{2} f^{2} e^{\left(6 \, c\right)} + a b^{2} d^{2} f^{2} e^{\left(6 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{3} d^{2} e f e^{\left(6 \, c\right)} + a b^{2} d^{2} e f e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(6 \, d x\right)} - {\left(a^{3} d^{2} e^{2} e^{\left(4 \, c\right)} + a b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{3} d^{2} f^{2} e^{\left(4 \, c\right)} + a b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{3} d^{2} e f e^{\left(4 \, c\right)} + a b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} + {\left(a^{3} d^{2} e^{2} e^{\left(2 \, c\right)} + a b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{3} d^{2} f^{2} e^{\left(2 \, c\right)} + a b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{3} d^{2} e f e^{\left(2 \, c\right)} + a b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} - 32 \, \int -\frac{a b^{5} e^{\left(d x + c\right)} - b^{6}}{16 \, {\left(a^{6} b e + 2 \, a^{4} b^{3} e + a^{2} b^{5} e + {\left(a^{6} b f + 2 \, a^{4} b^{3} f + a^{2} b^{5} f\right)} x - {\left(a^{6} b e e^{\left(2 \, c\right)} + 2 \, a^{4} b^{3} e e^{\left(2 \, c\right)} + a^{2} b^{5} e e^{\left(2 \, c\right)} + {\left(a^{6} b f e^{\left(2 \, c\right)} + 2 \, a^{4} b^{3} f e^{\left(2 \, c\right)} + a^{2} b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{7} e e^{c} + 2 \, a^{5} b^{2} e e^{c} + a^{3} b^{4} e e^{c} + {\left(a^{7} f e^{c} + 2 \, a^{5} b^{2} f e^{c} + a^{3} b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} - 32 \, \int \frac{2 \, {\left(d^{2} e^{2} - f^{2}\right)} a^{2} b + 2 \, {\left(2 \, d^{2} e^{2} - f^{2}\right)} b^{3} + 2 \, {\left(a^{2} b d^{2} f^{2} + 2 \, b^{3} d^{2} f^{2}\right)} x^{2} + 4 \, {\left(a^{2} b d^{2} e f + 2 \, b^{3} d^{2} e f\right)} x + {\left({\left(3 \, d^{2} e^{2} - 2 \, f^{2}\right)} a^{3} e^{c} + {\left(5 \, d^{2} e^{2} - 2 \, f^{2}\right)} a b^{2} e^{c} + {\left(3 \, a^{3} d^{2} f^{2} e^{c} + 5 \, a b^{2} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(3 \, a^{3} d^{2} e f e^{c} + 5 \, a b^{2} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{32 \, {\left(a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x} - 32 \, \int -\frac{b d f x + b d e + a f}{32 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} - {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 32 \, \int \frac{b d f x + b d e - a f}{32 \, {\left(a^{2} d f^{2} x^{2} + 2 \, a^{2} d e f x + a^{2} d e^{2} + {\left(a^{2} d f^{2} x^{2} e^{c} + 2 \, a^{2} d e f x e^{c} + a^{2} d e^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"(a*b*f + (2*b^2*d*e*e^(5*c) + (3*d*e - f)*a^2*e^(5*c) + (3*a^2*d*f*e^(5*c) + 2*b^2*d*f*e^(5*c))*x)*e^(5*d*x) + (2*a*b*d*f*x*e^(4*c) + (2*d*e - f)*a*b*e^(4*c))*e^(4*d*x) + 2*(a^2*d*e*e^(3*c) + 2*b^2*d*e*e^(3*c) + (a^2*d*f*e^(3*c) + 2*b^2*d*f*e^(3*c))*x)*e^(3*d*x) - 2*(a*b*d*f*x*e^(2*c) + a*b*d*e*e^(2*c))*e^(2*d*x) + (2*b^2*d*e*e^c + (3*d*e + f)*a^2*e^c + (3*a^2*d*f*e^c + 2*b^2*d*f*e^c)*x)*e^(d*x))/(a^3*d^2*e^2 + a*b^2*d^2*e^2 + (a^3*d^2*f^2 + a*b^2*d^2*f^2)*x^2 + 2*(a^3*d^2*e*f + a*b^2*d^2*e*f)*x - (a^3*d^2*e^2*e^(6*c) + a*b^2*d^2*e^2*e^(6*c) + (a^3*d^2*f^2*e^(6*c) + a*b^2*d^2*f^2*e^(6*c))*x^2 + 2*(a^3*d^2*e*f*e^(6*c) + a*b^2*d^2*e*f*e^(6*c))*x)*e^(6*d*x) - (a^3*d^2*e^2*e^(4*c) + a*b^2*d^2*e^2*e^(4*c) + (a^3*d^2*f^2*e^(4*c) + a*b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^3*d^2*e*f*e^(4*c) + a*b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) + (a^3*d^2*e^2*e^(2*c) + a*b^2*d^2*e^2*e^(2*c) + (a^3*d^2*f^2*e^(2*c) + a*b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^3*d^2*e*f*e^(2*c) + a*b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) - 32*integrate(-1/16*(a*b^5*e^(d*x + c) - b^6)/(a^6*b*e + 2*a^4*b^3*e + a^2*b^5*e + (a^6*b*f + 2*a^4*b^3*f + a^2*b^5*f)*x - (a^6*b*e*e^(2*c) + 2*a^4*b^3*e*e^(2*c) + a^2*b^5*e*e^(2*c) + (a^6*b*f*e^(2*c) + 2*a^4*b^3*f*e^(2*c) + a^2*b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^7*e*e^c + 2*a^5*b^2*e*e^c + a^3*b^4*e*e^c + (a^7*f*e^c + 2*a^5*b^2*f*e^c + a^3*b^4*f*e^c)*x)*e^(d*x)), x) - 32*integrate(1/32*(2*(d^2*e^2 - f^2)*a^2*b + 2*(2*d^2*e^2 - f^2)*b^3 + 2*(a^2*b*d^2*f^2 + 2*b^3*d^2*f^2)*x^2 + 4*(a^2*b*d^2*e*f + 2*b^3*d^2*e*f)*x + ((3*d^2*e^2 - 2*f^2)*a^3*e^c + (5*d^2*e^2 - 2*f^2)*a*b^2*e^c + (3*a^3*d^2*f^2*e^c + 5*a*b^2*d^2*f^2*e^c)*x^2 + 2*(3*a^3*d^2*e*f*e^c + 5*a*b^2*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x) - 32*integrate(-1/32*(b*d*f*x + b*d*e + a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 - (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x) + 32*integrate(1/32*(b*d*f*x + b*d*e - a*f)/(a^2*d*f^2*x^2 + 2*a^2*d*e*f*x + a^2*d*e^2 + (a^2*d*f^2*x^2*e^c + 2*a^2*d*e*f*x*e^c + a^2*d*e^2*e^c)*e^(d*x)), x)","F",0
476,0,0,0,0.000000," ","integrate((f*x+e)^3*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} - \frac{b^{2} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{b^{2} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} + \frac{3 \, a f^{3} x^{2} + 6 \, a e f^{2} x + 3 \, a e^{2} f + 2 \, {\left(b d f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, b d e f^{2} x^{2} e^{\left(3 \, c\right)} + 3 \, b d e^{2} f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, a e^{2} f e^{\left(2 \, c\right)} + 3 \, {\left(2 \, d e f^{2} + f^{3}\right)} a x^{2} e^{\left(2 \, c\right)} + 6 \, {\left(d e^{2} f + e f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(b d f^{3} x^{3} e^{c} + 3 \, b d e f^{2} x^{2} e^{c} + 3 \, b d e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} b^{2} f^{3}}{a^{3} d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} b^{2} f^{3}}{a^{3} d^{4}} - \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{3 \, {\left(b^{2} d e f^{2} + a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d e f^{2} - a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d^{2} e^{2} f + 2 \, a b d e f^{2} + a^{2} f^{3}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d^{2} e^{2} f - 2 \, a b d e f^{2} + a^{2} f^{3}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{4}} - \frac{b^{2} d^{4} f^{3} x^{4} + 4 \, {\left(b^{2} d e f^{2} + a b f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b^{2} d^{2} e^{2} f + 2 \, a b d e f^{2} + a^{2} f^{3}\right)} d^{2} x^{2}}{4 \, a^{3} d^{4}} - \frac{b^{2} d^{4} f^{3} x^{4} + 4 \, {\left(b^{2} d e f^{2} - a b f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b^{2} d^{2} e^{2} f - 2 \, a b d e f^{2} + a^{2} f^{3}\right)} d^{2} x^{2}}{4 \, a^{3} d^{4}} + \int -\frac{2 \, {\left(b^{3} f^{3} x^{3} + 3 \, b^{3} e f^{2} x^{2} + 3 \, b^{3} e^{2} f x - {\left(a b^{2} f^{3} x^{3} e^{c} + 3 \, a b^{2} e f^{2} x^{2} e^{c} + 3 \, a b^{2} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"-e^3*(2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) - b^2*log(e^(-d*x - c) + 1)/(a^3*d) - b^2*log(e^(-d*x - c) - 1)/(a^3*d)) + (3*a*f^3*x^2 + 6*a*e*f^2*x + 3*a*e^2*f + 2*(b*d*f^3*x^3*e^(3*c) + 3*b*d*e*f^2*x^2*e^(3*c) + 3*b*d*e^2*f*x*e^(3*c))*e^(3*d*x) - (2*a*d*f^3*x^3*e^(2*c) + 3*a*e^2*f*e^(2*c) + 3*(2*d*e*f^2 + f^3)*a*x^2*e^(2*c) + 6*(d*e^2*f + e*f^2)*a*x*e^(2*c))*e^(2*d*x) - 2*(b*d*f^3*x^3*e^c + 3*b*d*e*f^2*x^2*e^c + 3*b*d*e^2*f*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*b^2*f^3/(a^3*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*b^2*f^3/(a^3*d^4) - 3*(b*d*e^2*f + a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f - a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f + a*e*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - 3*(b*d*e^2*f - a*e*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + 3*(b^2*d*e*f^2 + a*b*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d*e*f^2 - a*b*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d^2*e^2*f + 2*a*b*d*e*f^2 + a^2*f^3)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d^2*e^2*f - 2*a*b*d*e*f^2 + a^2*f^3)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^4) - 1/4*(b^2*d^4*f^3*x^4 + 4*(b^2*d*e*f^2 + a*b*f^3)*d^3*x^3 + 6*(b^2*d^2*e^2*f + 2*a*b*d*e*f^2 + a^2*f^3)*d^2*x^2)/(a^3*d^4) - 1/4*(b^2*d^4*f^3*x^4 + 4*(b^2*d*e*f^2 - a*b*f^3)*d^3*x^3 + 6*(b^2*d^2*e^2*f - 2*a*b*d*e*f^2 + a^2*f^3)*d^2*x^2)/(a^3*d^4) + integrate(-2*(b^3*f^3*x^3 + 3*b^3*e*f^2*x^2 + 3*b^3*e^2*f*x - (a*b^2*f^3*x^3*e^c + 3*a*b^2*e*f^2*x^2*e^c + 3*a*b^2*e^2*f*x*e^c)*e^(d*x))/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
477,0,0,0,0.000000," ","integrate((f*x+e)^2*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} - \frac{b^{2} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{b^{2} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} + \frac{2 \, {\left(a f^{2} x + a e f + {\left(b d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, b d e f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a d f^{2} x^{2} e^{\left(2 \, c\right)} + a e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d f^{2} x^{2} e^{c} + 2 \, b d e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} b^{2} f^{2}}{a^{3} d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} b^{2} f^{2}}{a^{3} d^{3}} - \frac{{\left(2 \, b d e f + a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f - a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f + a f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{{\left(2 \, b d e f - a f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{2 \, {\left(b^{2} d e f + a b f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{2 \, {\left(b^{2} d e f - a b f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} - \frac{b^{2} d^{3} f^{2} x^{3} + 3 \, {\left(b^{2} d e f + a b f^{2}\right)} d^{2} x^{2}}{3 \, a^{3} d^{3}} - \frac{b^{2} d^{3} f^{2} x^{3} + 3 \, {\left(b^{2} d e f - a b f^{2}\right)} d^{2} x^{2}}{3 \, a^{3} d^{3}} + \int -\frac{2 \, {\left(b^{3} f^{2} x^{2} + 2 \, b^{3} e f x - {\left(a b^{2} f^{2} x^{2} e^{c} + 2 \, a b^{2} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"-e^2*(2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) - b^2*log(e^(-d*x - c) + 1)/(a^3*d) - b^2*log(e^(-d*x - c) - 1)/(a^3*d)) + 2*(a*f^2*x + a*e*f + (b*d*f^2*x^2*e^(3*c) + 2*b*d*e*f*x*e^(3*c))*e^(3*d*x) - (a*d*f^2*x^2*e^(2*c) + a*e*f*e^(2*c) + (2*d*e*f + f^2)*a*x*e^(2*c))*e^(2*d*x) - (b*d*f^2*x^2*e^c + 2*b*d*e*f*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*b^2*f^2/(a^3*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*b^2*f^2/(a^3*d^3) - (2*b*d*e*f + a*f^2)*x/(a^2*d^2) + (2*b*d*e*f - a*f^2)*x/(a^2*d^2) + (2*b*d*e*f + a*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - (2*b*d*e*f - a*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + 2*(b^2*d*e*f + a*b*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^3) + 2*(b^2*d*e*f - a*b*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^3) - 1/3*(b^2*d^3*f^2*x^3 + 3*(b^2*d*e*f + a*b*f^2)*d^2*x^2)/(a^3*d^3) - 1/3*(b^2*d^3*f^2*x^3 + 3*(b^2*d*e*f - a*b*f^2)*d^2*x^2)/(a^3*d^3) + integrate(-2*(b^3*f^2*x^2 + 2*b^3*e*f*x - (a*b^2*f^2*x^2*e^c + 2*a*b^2*e*f*x*e^c)*e^(d*x))/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
478,0,0,0,0.000000," ","integrate((f*x+e)*coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(4 \, b^{2} d \int \frac{x}{4 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 4 \, b^{2} d \int \frac{x}{4 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} + a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} - \frac{2 \, b d x e^{\left(3 \, d x + 3 \, c\right)} - 2 \, b d x e^{\left(d x + c\right)} - {\left(2 \, a d x e^{\left(2 \, c\right)} + a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + a}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} - 4 \, \int \frac{a b^{2} x e^{\left(d x + c\right)} - b^{3} x}{2 \, {\left(a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b\right)}}\,{d x}\right)} f - e {\left(\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} - \frac{b^{2} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{b^{2} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)}"," ",0,"-(4*b^2*d*integrate(1/4*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 4*b^2*d*integrate(1/4*x/(a^3*d*e^(d*x + c) - a^3*d), x) + a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) - (2*b*d*x*e^(3*d*x + 3*c) - 2*b*d*x*e^(d*x + c) - (2*a*d*x*e^(2*c) + a*e^(2*c))*e^(2*d*x) + a)/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) - 4*integrate(1/2*(a*b^2*x*e^(d*x + c) - b^3*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x))*f - e*(2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) - b^2*log(e^(-d*x - c) + 1)/(a^3*d) - b^2*log(e^(-d*x - c) - 1)/(a^3*d))","F",0
479,1,161,0,0.320425," ","integrate(coth(d*x+c)*csch(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{b^{2} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} + \frac{b^{2} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{b^{2} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}"," ",0,"-2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - b^2*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) + b^2*log(e^(-d*x - c) + 1)/(a^3*d) + b^2*log(e^(-d*x - c) - 1)/(a^3*d)","B",0
480,0,0,0,0.000000," ","integrate(coth(d*x+c)*csch(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a f - 2 \, {\left(b d f x e^{\left(3 \, c\right)} + b d e e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(2 \, a d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(b d f x e^{c} + b d e e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e f x + a^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(4 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(2 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + 4 \, \int -\frac{b^{2} d^{2} f^{2} x^{2} + b^{2} d^{2} e^{2} + a b d e f + a^{2} f^{2} + {\left(2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{4 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 4 \, \int \frac{b^{2} d^{2} f^{2} x^{2} + b^{2} d^{2} e^{2} - a b d e f + a^{2} f^{2} + {\left(2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{4 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 4 \, \int -\frac{a b^{2} e^{\left(d x + c\right)} - b^{3}}{2 \, {\left(a^{3} b f x + a^{3} b e - {\left(a^{3} b f x e^{\left(2 \, c\right)} + a^{3} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} f x e^{c} + a^{4} e e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-(a*f - 2*(b*d*f*x*e^(3*c) + b*d*e*e^(3*c))*e^(3*d*x) + (2*a*d*f*x*e^(2*c) + (2*d*e - f)*a*e^(2*c))*e^(2*d*x) + 2*(b*d*f*x*e^c + b*d*e*e^c)*e^(d*x))/(a^2*d^2*f^2*x^2 + 2*a^2*d^2*e*f*x + a^2*d^2*e^2 + (a^2*d^2*f^2*x^2*e^(4*c) + 2*a^2*d^2*e*f*x*e^(4*c) + a^2*d^2*e^2*e^(4*c))*e^(4*d*x) - 2*(a^2*d^2*f^2*x^2*e^(2*c) + 2*a^2*d^2*e*f*x*e^(2*c) + a^2*d^2*e^2*e^(2*c))*e^(2*d*x)) + 4*integrate(-1/4*(b^2*d^2*f^2*x^2 + b^2*d^2*e^2 + a*b*d*e*f + a^2*f^2 + (2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) - 4*integrate(1/4*(b^2*d^2*f^2*x^2 + b^2*d^2*e^2 - a*b*d*e*f + a^2*f^2 + (2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + 4*integrate(-1/2*(a*b^2*e^(d*x + c) - b^3)/(a^3*b*f*x + a^3*b*e - (a^3*b*f*x*e^(2*c) + a^3*b*e*e^(2*c))*e^(2*d*x) - 2*(a^4*f*x*e^c + a^4*e*e^c)*e^(d*x)), x)","F",0
481,0,0,0,0.000000," ","integrate((f*x+e)^3*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, e^{3} {\left(\frac{2 \, {\left(a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d} - \frac{2 \, {\left(a^{2} b + b^{3}\right)} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}\right)} - \frac{2 \, b d f^{3} x^{3} + 6 \, b d e f^{2} x^{2} + 6 \, b d e^{2} f x + {\left(a d f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, a e^{2} f e^{\left(3 \, c\right)} + 3 \, {\left(d e f^{2} + f^{3}\right)} a x^{2} e^{\left(3 \, c\right)} + 3 \, {\left(d e^{2} f + 2 \, e f^{2}\right)} a x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(b d f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, b d e f^{2} x^{2} e^{\left(2 \, c\right)} + 3 \, b d e^{2} f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f^{3} x^{3} e^{c} - 3 \, a e^{2} f e^{c} + 3 \, {\left(d e f^{2} - f^{3}\right)} a x^{2} e^{c} + 3 \, {\left(d e^{2} f - 2 \, e f^{2}\right)} a x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} x}{a^{2} d^{2}} - \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} + 2 \, b^{2} f^{3}\right)}}{2 \, a^{3} d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} + 2 \, b^{2} f^{3}\right)}}{2 \, a^{3} d^{4}} - \frac{3 \, {\left(a^{2} d e f^{2} + 2 \, b^{2} d e f^{2} + 2 \, a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{2 \, a^{3} d^{4}} + \frac{3 \, {\left(a^{2} d e f^{2} + 2 \, b^{2} d e f^{2} - 2 \, a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{2 \, a^{3} d^{4}} - \frac{3 \, {\left(2 \, b^{2} d^{2} e^{2} f + 4 \, a b d e f^{2} + {\left(d^{2} e^{2} f + 2 \, f^{3}\right)} a^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{2 \, a^{3} d^{4}} + \frac{3 \, {\left(2 \, b^{2} d^{2} e^{2} f - 4 \, a b d e f^{2} + {\left(d^{2} e^{2} f + 2 \, f^{3}\right)} a^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{2 \, a^{3} d^{4}} + \frac{{\left(a^{2} f^{3} + 2 \, b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} + 2 \, b^{2} d e f^{2} + 2 \, a b f^{3}\right)} d^{3} x^{3} + 6 \, {\left(2 \, b^{2} d^{2} e^{2} f + 4 \, a b d e f^{2} + {\left(d^{2} e^{2} f + 2 \, f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{8 \, a^{3} d^{4}} - \frac{{\left(a^{2} f^{3} + 2 \, b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} + 2 \, b^{2} d e f^{2} - 2 \, a b f^{3}\right)} d^{3} x^{3} + 6 \, {\left(2 \, b^{2} d^{2} e^{2} f - 4 \, a b d e f^{2} + {\left(d^{2} e^{2} f + 2 \, f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{8 \, a^{3} d^{4}} - \int \frac{2 \, {\left({\left(a^{2} b f^{3} e^{c} + b^{3} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{2} b e f^{2} e^{c} + b^{3} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{2} b e^{2} f e^{c} + b^{3} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"1/2*e^3*(2*(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 + 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 + 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d) - 2*(a^2*b + b^3)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d)) - (2*b*d*f^3*x^3 + 6*b*d*e*f^2*x^2 + 6*b*d*e^2*f*x + (a*d*f^3*x^3*e^(3*c) + 3*a*e^2*f*e^(3*c) + 3*(d*e*f^2 + f^3)*a*x^2*e^(3*c) + 3*(d*e^2*f + 2*e*f^2)*a*x*e^(3*c))*e^(3*d*x) - 2*(b*d*f^3*x^3*e^(2*c) + 3*b*d*e*f^2*x^2*e^(2*c) + 3*b*d*e^2*f*x*e^(2*c))*e^(2*d*x) + (a*d*f^3*x^3*e^c - 3*a*e^2*f*e^c + 3*(d*e*f^2 - f^3)*a*x^2*e^c + 3*(d*e^2*f - 2*e*f^2)*a*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + 3*(b*d*e^2*f + a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f - a*e*f^2)*x/(a^2*d^2) - 3*(b*d*e^2*f + a*e*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - 3*(b*d*e^2*f - a*e*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) - 1/2*(d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*(a^2*f^3 + 2*b^2*f^3)/(a^3*d^4) + 1/2*(d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*(a^2*f^3 + 2*b^2*f^3)/(a^3*d^4) - 3/2*(a^2*d*e*f^2 + 2*b^2*d*e*f^2 + 2*a*b*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^3*d^4) + 3/2*(a^2*d*e*f^2 + 2*b^2*d*e*f^2 - 2*a*b*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^3*d^4) - 3/2*(2*b^2*d^2*e^2*f + 4*a*b*d*e*f^2 + (d^2*e^2*f + 2*f^3)*a^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^4) + 3/2*(2*b^2*d^2*e^2*f - 4*a*b*d*e*f^2 + (d^2*e^2*f + 2*f^3)*a^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^4) + 1/8*((a^2*f^3 + 2*b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 + 2*b^2*d*e*f^2 + 2*a*b*f^3)*d^3*x^3 + 6*(2*b^2*d^2*e^2*f + 4*a*b*d*e*f^2 + (d^2*e^2*f + 2*f^3)*a^2)*d^2*x^2)/(a^3*d^4) - 1/8*((a^2*f^3 + 2*b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 + 2*b^2*d*e*f^2 - 2*a*b*f^3)*d^3*x^3 + 6*(2*b^2*d^2*e^2*f - 4*a*b*d*e*f^2 + (d^2*e^2*f + 2*f^3)*a^2)*d^2*x^2)/(a^3*d^4) - integrate(2*((a^2*b*f^3*e^c + b^3*f^3*e^c)*x^3 + 3*(a^2*b*e*f^2*e^c + b^3*e*f^2*e^c)*x^2 + 3*(a^2*b*e^2*f*e^c + b^3*e^2*f*e^c)*x)*e^(d*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
482,0,0,0,0.000000," ","integrate((f*x+e)^2*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, e^{2} {\left(\frac{2 \, {\left(a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d} - \frac{2 \, {\left(a^{2} b + b^{3}\right)} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}\right)} - \frac{2 \, b d f^{2} x^{2} + 4 \, b d e f x + {\left(a d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, a e f e^{\left(3 \, c\right)} + 2 \, {\left(d e f + f^{2}\right)} a x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(b d f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, b d e f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f^{2} x^{2} e^{c} - 2 \, a e f e^{c} + 2 \, {\left(d e f - f^{2}\right)} a x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + \frac{{\left(2 \, b d e f + a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f - a f^{2}\right)} x}{a^{2} d^{2}} - \frac{{\left(2 \, b d e f + a f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{{\left(2 \, b d e f - a f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} + 2 \, b^{2} f^{2}\right)}}{2 \, a^{3} d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} + 2 \, b^{2} f^{2}\right)}}{2 \, a^{3} d^{3}} - \frac{{\left(a^{2} d e f + 2 \, b^{2} d e f + 2 \, a b f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{{\left(a^{2} d e f + 2 \, b^{2} d e f - 2 \, a b f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{{\left(a^{2} f^{2} + 2 \, b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f + 2 \, b^{2} d e f + 2 \, a b f^{2}\right)} d^{2} x^{2}}{6 \, a^{3} d^{3}} - \frac{{\left(a^{2} f^{2} + 2 \, b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f + 2 \, b^{2} d e f - 2 \, a b f^{2}\right)} d^{2} x^{2}}{6 \, a^{3} d^{3}} - \int \frac{2 \, {\left({\left(a^{2} b f^{2} e^{c} + b^{3} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{2} b e f e^{c} + b^{3} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"1/2*e^2*(2*(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 + 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 + 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d) - 2*(a^2*b + b^3)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d)) - (2*b*d*f^2*x^2 + 4*b*d*e*f*x + (a*d*f^2*x^2*e^(3*c) + 2*a*e*f*e^(3*c) + 2*(d*e*f + f^2)*a*x*e^(3*c))*e^(3*d*x) - 2*(b*d*f^2*x^2*e^(2*c) + 2*b*d*e*f*x*e^(2*c))*e^(2*d*x) + (a*d*f^2*x^2*e^c - 2*a*e*f*e^c + 2*(d*e*f - f^2)*a*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + (2*b*d*e*f + a*f^2)*x/(a^2*d^2) + (2*b*d*e*f - a*f^2)*x/(a^2*d^2) - (2*b*d*e*f + a*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - (2*b*d*e*f - a*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) - 1/2*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(a^2*f^2 + 2*b^2*f^2)/(a^3*d^3) + 1/2*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(a^2*f^2 + 2*b^2*f^2)/(a^3*d^3) - (a^2*d*e*f + 2*b^2*d*e*f + 2*a*b*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^3) + (a^2*d*e*f + 2*b^2*d*e*f - 2*a*b*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^3) + 1/6*((a^2*f^2 + 2*b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f + 2*b^2*d*e*f + 2*a*b*f^2)*d^2*x^2)/(a^3*d^3) - 1/6*((a^2*f^2 + 2*b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f + 2*b^2*d*e*f - 2*a*b*f^2)*d^2*x^2)/(a^3*d^3) - integrate(2*((a^2*b*f^2*e^c + b^3*f^2*e^c)*x^2 + 2*(a^2*b*e*f*e^c + b^3*e*f*e^c)*x)*e^(d*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
483,0,0,0,0.000000," ","integrate((f*x+e)*coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","{\left(2 \, a^{2} d \int \frac{x}{4 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} + 4 \, b^{2} d \int \frac{x}{4 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} + 2 \, a^{2} d \int \frac{x}{4 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} + 4 \, b^{2} d \int \frac{x}{4 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} + a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} + a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} - 2 \, {\left(a^{2} b e^{c} + b^{3} e^{c}\right)} \int \frac{x e^{\left(d x\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x} + \frac{2 \, b d x e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b d x - {\left(a d x e^{\left(3 \, c\right)} + a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a d x e^{c} - a e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}}\right)} f + \frac{1}{2} \, e {\left(\frac{2 \, {\left(a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d} - \frac{2 \, {\left(a^{2} b + b^{3}\right)} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}\right)}"," ",0,"(2*a^2*d*integrate(1/4*x/(a^3*d*e^(d*x + c) + a^3*d), x) + 4*b^2*d*integrate(1/4*x/(a^3*d*e^(d*x + c) + a^3*d), x) + 2*a^2*d*integrate(1/4*x/(a^3*d*e^(d*x + c) - a^3*d), x) + 4*b^2*d*integrate(1/4*x/(a^3*d*e^(d*x + c) - a^3*d), x) + a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) + a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) - 2*(a^2*b*e^c + b^3*e^c)*integrate(x*e^(d*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x) + (2*b*d*x*e^(2*d*x + 2*c) - 2*b*d*x - (a*d*x*e^(3*c) + a*e^(3*c))*e^(3*d*x) - (a*d*x*e^c - a*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2))*f + 1/2*e*(2*(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 + 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 + 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d) - 2*(a^2*b + b^3)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d))","F",0
484,1,217,0,0.400045," ","integrate(coth(d*x+c)^2*csch(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{a e^{\left(-d x - c\right)} + 2 \, b e^{\left(-2 \, d x - 2 \, c\right)} + a e^{\left(-3 \, d x - 3 \, c\right)} - 2 \, b}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{2 \, a^{3} d} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{2 \, a^{3} d} - \frac{{\left(a^{2} b + b^{3}\right)} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3} d}"," ",0,"(a*e^(-d*x - c) + 2*b*e^(-2*d*x - 2*c) + a*e^(-3*d*x - 3*c) - 2*b)/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - 1/2*(a^2 + 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + 1/2*(a^2 + 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d) - (a^2*b + b^3)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3*d)","B",0
485,0,0,0,0.000000," ","integrate(coth(d*x+c)^2*csch(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-2 \, {\left(a^{2} b e^{c} + b^{3} e^{c}\right)} \int -\frac{e^{\left(d x\right)}}{a^{3} b f x + a^{3} b e - {\left(a^{3} b f x e^{\left(2 \, c\right)} + a^{3} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} f x e^{c} + a^{4} e e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \frac{2 \, b d f x + 2 \, b d e + {\left(a d f x e^{\left(3 \, c\right)} + {\left(d e - f\right)} a e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - 2 \, {\left(b d f x e^{\left(2 \, c\right)} + b d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left(a d f x e^{c} + {\left(d e + f\right)} a e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e f x + a^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(4 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(2 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + 2 \, \int -\frac{2 \, b^{2} d^{2} e^{2} + 2 \, a b d e f + {\left(d^{2} e^{2} + 2 \, f^{2}\right)} a^{2} + {\left(a^{2} d^{2} f^{2} + 2 \, b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + 2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{4 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 2 \, \int \frac{2 \, b^{2} d^{2} e^{2} - 2 \, a b d e f + {\left(d^{2} e^{2} + 2 \, f^{2}\right)} a^{2} + {\left(a^{2} d^{2} f^{2} + 2 \, b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d^{2} e f + 2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{4 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x}"," ",0,"-2*(a^2*b*e^c + b^3*e^c)*integrate(-e^(d*x)/(a^3*b*f*x + a^3*b*e - (a^3*b*f*x*e^(2*c) + a^3*b*e*e^(2*c))*e^(2*d*x) - 2*(a^4*f*x*e^c + a^4*e*e^c)*e^(d*x)), x) - (2*b*d*f*x + 2*b*d*e + (a*d*f*x*e^(3*c) + (d*e - f)*a*e^(3*c))*e^(3*d*x) - 2*(b*d*f*x*e^(2*c) + b*d*e*e^(2*c))*e^(2*d*x) + (a*d*f*x*e^c + (d*e + f)*a*e^c)*e^(d*x))/(a^2*d^2*f^2*x^2 + 2*a^2*d^2*e*f*x + a^2*d^2*e^2 + (a^2*d^2*f^2*x^2*e^(4*c) + 2*a^2*d^2*e*f*x*e^(4*c) + a^2*d^2*e^2*e^(4*c))*e^(4*d*x) - 2*(a^2*d^2*f^2*x^2*e^(2*c) + 2*a^2*d^2*e*f*x*e^(2*c) + a^2*d^2*e^2*e^(2*c))*e^(2*d*x)) + 2*integrate(-1/4*(2*b^2*d^2*e^2 + 2*a*b*d*e*f + (d^2*e^2 + 2*f^2)*a^2 + (a^2*d^2*f^2 + 2*b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + 2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + 2*integrate(1/4*(2*b^2*d^2*e^2 - 2*a*b*d*e*f + (d^2*e^2 + 2*f^2)*a^2 + (a^2*d^2*f^2 + 2*b^2*d^2*f^2)*x^2 + 2*(a^2*d^2*e*f + 2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x)","F",0
486,0,0,0,0.000000," ","integrate((f*x+e)^3*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{3} {\left(\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} + \frac{3 \, a f^{3} x^{2} + 6 \, a e f^{2} x + 3 \, a e^{2} f + 2 \, {\left(b d f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, b d e f^{2} x^{2} e^{\left(3 \, c\right)} + 3 \, b d e^{2} f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, a e^{2} f e^{\left(2 \, c\right)} + 3 \, {\left(2 \, d e f^{2} + f^{3}\right)} a x^{2} e^{\left(2 \, c\right)} + 6 \, {\left(d e^{2} f + e f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(b d f^{3} x^{3} e^{c} + 3 \, b d e f^{2} x^{2} e^{c} + 3 \, b d e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} - \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} + b^{2} f^{3}\right)}}{a^{3} d^{4}} + \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} + b^{2} f^{3}\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(a^{2} d e f^{2} + b^{2} d e f^{2} + a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(a^{2} d e f^{2} + b^{2} d e f^{2} - a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d^{2} e^{2} f + 2 \, a b d e f^{2} + {\left(d^{2} e^{2} f + f^{3}\right)} a^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d^{2} e^{2} f - 2 \, a b d e f^{2} + {\left(d^{2} e^{2} f + f^{3}\right)} a^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{4}} - \frac{{\left(a^{2} f^{3} + b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} + b^{2} d e f^{2} + a b f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b^{2} d^{2} e^{2} f + 2 \, a b d e f^{2} + {\left(d^{2} e^{2} f + f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{4 \, a^{3} d^{4}} - \frac{{\left(a^{2} f^{3} + b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} + b^{2} d e f^{2} - a b f^{3}\right)} d^{3} x^{3} + 6 \, {\left(b^{2} d^{2} e^{2} f - 2 \, a b d e f^{2} + {\left(d^{2} e^{2} f + f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{4 \, a^{3} d^{4}} + \int -\frac{2 \, {\left({\left(a^{2} b f^{3} + b^{3} f^{3}\right)} x^{3} + 3 \, {\left(a^{2} b e f^{2} + b^{3} e f^{2}\right)} x^{2} + 3 \, {\left(a^{2} b e^{2} f + b^{3} e^{2} f\right)} x - {\left({\left(a^{3} f^{3} e^{c} + a b^{2} f^{3} e^{c}\right)} x^{3} + 3 \, {\left(a^{3} e f^{2} e^{c} + a b^{2} e f^{2} e^{c}\right)} x^{2} + 3 \, {\left(a^{3} e^{2} f e^{c} + a b^{2} e^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"-e^3*(2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) - (a^2 + b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - (a^2 + b^2)*log(e^(-d*x - c) - 1)/(a^3*d)) + (3*a*f^3*x^2 + 6*a*e*f^2*x + 3*a*e^2*f + 2*(b*d*f^3*x^3*e^(3*c) + 3*b*d*e*f^2*x^2*e^(3*c) + 3*b*d*e^2*f*x*e^(3*c))*e^(3*d*x) - (2*a*d*f^3*x^3*e^(2*c) + 3*a*e^2*f*e^(2*c) + 3*(2*d*e*f^2 + f^3)*a*x^2*e^(2*c) + 6*(d*e^2*f + e*f^2)*a*x*e^(2*c))*e^(2*d*x) - 2*(b*d*f^3*x^3*e^c + 3*b*d*e*f^2*x^2*e^c + 3*b*d*e^2*f*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) - 3*(b*d*e^2*f + a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f - a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f + a*e*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - 3*(b*d*e^2*f - a*e*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*(a^2*f^3 + b^2*f^3)/(a^3*d^4) + (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*(a^2*f^3 + b^2*f^3)/(a^3*d^4) + 3*(a^2*d*e*f^2 + b^2*d*e*f^2 + a*b*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^3*d^4) + 3*(a^2*d*e*f^2 + b^2*d*e*f^2 - a*b*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d^2*e^2*f + 2*a*b*d*e*f^2 + (d^2*e^2*f + f^3)*a^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d^2*e^2*f - 2*a*b*d*e*f^2 + (d^2*e^2*f + f^3)*a^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^4) - 1/4*((a^2*f^3 + b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 + b^2*d*e*f^2 + a*b*f^3)*d^3*x^3 + 6*(b^2*d^2*e^2*f + 2*a*b*d*e*f^2 + (d^2*e^2*f + f^3)*a^2)*d^2*x^2)/(a^3*d^4) - 1/4*((a^2*f^3 + b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 + b^2*d*e*f^2 - a*b*f^3)*d^3*x^3 + 6*(b^2*d^2*e^2*f - 2*a*b*d*e*f^2 + (d^2*e^2*f + f^3)*a^2)*d^2*x^2)/(a^3*d^4) + integrate(-2*((a^2*b*f^3 + b^3*f^3)*x^3 + 3*(a^2*b*e*f^2 + b^3*e*f^2)*x^2 + 3*(a^2*b*e^2*f + b^3*e^2*f)*x - ((a^3*f^3*e^c + a*b^2*f^3*e^c)*x^3 + 3*(a^3*e*f^2*e^c + a*b^2*e*f^2*e^c)*x^2 + 3*(a^3*e^2*f*e^c + a*b^2*e^2*f*e^c)*x)*e^(d*x))/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
487,0,0,0,0.000000," ","integrate((f*x+e)^2*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-e^{2} {\left(\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} + \frac{2 \, {\left(a f^{2} x + a e f + {\left(b d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, b d e f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a d f^{2} x^{2} e^{\left(2 \, c\right)} + a e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d f^{2} x^{2} e^{c} + 2 \, b d e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} - \frac{{\left(2 \, b d e f + a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f - a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f + a f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{{\left(2 \, b d e f - a f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} + b^{2} f^{2}\right)}}{a^{3} d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} + b^{2} f^{2}\right)}}{a^{3} d^{3}} + \frac{2 \, {\left(a^{2} d e f + b^{2} d e f + a b f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{2 \, {\left(a^{2} d e f + b^{2} d e f - a b f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} - \frac{{\left(a^{2} f^{2} + b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f + b^{2} d e f + a b f^{2}\right)} d^{2} x^{2}}{3 \, a^{3} d^{3}} - \frac{{\left(a^{2} f^{2} + b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f + b^{2} d e f - a b f^{2}\right)} d^{2} x^{2}}{3 \, a^{3} d^{3}} + \int -\frac{2 \, {\left({\left(a^{2} b f^{2} + b^{3} f^{2}\right)} x^{2} + 2 \, {\left(a^{2} b e f + b^{3} e f\right)} x - {\left({\left(a^{3} f^{2} e^{c} + a b^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(a^{3} e f e^{c} + a b^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}"," ",0,"-e^2*(2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) - (a^2 + b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - (a^2 + b^2)*log(e^(-d*x - c) - 1)/(a^3*d)) + 2*(a*f^2*x + a*e*f + (b*d*f^2*x^2*e^(3*c) + 2*b*d*e*f*x*e^(3*c))*e^(3*d*x) - (a*d*f^2*x^2*e^(2*c) + a*e*f*e^(2*c) + (2*d*e*f + f^2)*a*x*e^(2*c))*e^(2*d*x) - (b*d*f^2*x^2*e^c + 2*b*d*e*f*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) - (2*b*d*e*f + a*f^2)*x/(a^2*d^2) + (2*b*d*e*f - a*f^2)*x/(a^2*d^2) + (2*b*d*e*f + a*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - (2*b*d*e*f - a*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(a^2*f^2 + b^2*f^2)/(a^3*d^3) + (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(a^2*f^2 + b^2*f^2)/(a^3*d^3) + 2*(a^2*d*e*f + b^2*d*e*f + a*b*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^3) + 2*(a^2*d*e*f + b^2*d*e*f - a*b*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^3) - 1/3*((a^2*f^2 + b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f + b^2*d*e*f + a*b*f^2)*d^2*x^2)/(a^3*d^3) - 1/3*((a^2*f^2 + b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f + b^2*d*e*f - a*b*f^2)*d^2*x^2)/(a^3*d^3) + integrate(-2*((a^2*b*f^2 + b^3*f^2)*x^2 + 2*(a^2*b*e*f + b^3*e*f)*x - ((a^3*f^2*e^c + a*b^2*f^2*e^c)*x^2 + 2*(a^3*e*f*e^c + a*b^2*e*f*e^c)*x)*e^(d*x))/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x)","F",0
488,0,0,0,0.000000," ","integrate((f*x+e)*coth(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(a^{2} d \int \frac{x}{a^{3} d e^{\left(d x + c\right)} + a^{3} d}\,{d x} + b^{2} d \int \frac{x}{a^{3} d e^{\left(d x + c\right)} + a^{3} d}\,{d x} - a^{2} d \int \frac{x}{a^{3} d e^{\left(d x + c\right)} - a^{3} d}\,{d x} - b^{2} d \int \frac{x}{a^{3} d e^{\left(d x + c\right)} - a^{3} d}\,{d x} + a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} - \frac{2 \, b d x e^{\left(3 \, d x + 3 \, c\right)} - 2 \, b d x e^{\left(d x + c\right)} - {\left(2 \, a d x e^{\left(2 \, c\right)} + a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + a}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} - \int \frac{2 \, {\left({\left(a^{3} e^{c} + a b^{2} e^{c}\right)} x e^{\left(d x\right)} - {\left(a^{2} b + b^{3}\right)} x\right)}}{a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{4} e^{\left(d x + c\right)} - a^{3} b}\,{d x}\right)} f - e {\left(\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)}"," ",0,"-(a^2*d*integrate(x/(a^3*d*e^(d*x + c) + a^3*d), x) + b^2*d*integrate(x/(a^3*d*e^(d*x + c) + a^3*d), x) - a^2*d*integrate(x/(a^3*d*e^(d*x + c) - a^3*d), x) - b^2*d*integrate(x/(a^3*d*e^(d*x + c) - a^3*d), x) + a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) - (2*b*d*x*e^(3*d*x + 3*c) - 2*b*d*x*e^(d*x + c) - (2*a*d*x*e^(2*c) + a*e^(2*c))*e^(2*d*x) + a)/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) - integrate(2*((a^3*e^c + a*b^2*e^c)*x*e^(d*x) - (a^2*b + b^3)*x)/(a^3*b*e^(2*d*x + 2*c) + 2*a^4*e^(d*x + c) - a^3*b), x))*f - e*(2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) - (a^2 + b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - (a^2 + b^2)*log(e^(-d*x - c) - 1)/(a^3*d))","F",0
489,1,173,0,0.336415," ","integrate(coth(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{a^{3} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}"," ",0,"-2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 + b^2)*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/(a^3*d) + (a^2 + b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 + b^2)*log(e^(-d*x - c) - 1)/(a^3*d)","B",0
490,0,0,0,0.000000," ","integrate(coth(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a f - 2 \, {\left(b d f x e^{\left(3 \, c\right)} + b d e e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(2 \, a d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(b d f x e^{c} + b d e e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e f x + a^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(4 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(2 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \int -\frac{b^{2} d^{2} e^{2} + a b d e f + {\left(d^{2} e^{2} + f^{2}\right)} a^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + {\left(2 \, a^{2} d^{2} e f + 2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} - \int \frac{b^{2} d^{2} e^{2} - a b d e f + {\left(d^{2} e^{2} + f^{2}\right)} a^{2} + {\left(a^{2} d^{2} f^{2} + b^{2} d^{2} f^{2}\right)} x^{2} + {\left(2 \, a^{2} d^{2} e f + 2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \int \frac{2 \, {\left(a^{2} b + b^{3} - {\left(a^{3} e^{c} + a b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{3} b f x + a^{3} b e - {\left(a^{3} b f x e^{\left(2 \, c\right)} + a^{3} b e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{4} f x e^{c} + a^{4} e e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"-(a*f - 2*(b*d*f*x*e^(3*c) + b*d*e*e^(3*c))*e^(3*d*x) + (2*a*d*f*x*e^(2*c) + (2*d*e - f)*a*e^(2*c))*e^(2*d*x) + 2*(b*d*f*x*e^c + b*d*e*e^c)*e^(d*x))/(a^2*d^2*f^2*x^2 + 2*a^2*d^2*e*f*x + a^2*d^2*e^2 + (a^2*d^2*f^2*x^2*e^(4*c) + 2*a^2*d^2*e*f*x*e^(4*c) + a^2*d^2*e^2*e^(4*c))*e^(4*d*x) - 2*(a^2*d^2*f^2*x^2*e^(2*c) + 2*a^2*d^2*e*f*x*e^(2*c) + a^2*d^2*e^2*e^(2*c))*e^(2*d*x)) + integrate(-(b^2*d^2*e^2 + a*b*d*e*f + (d^2*e^2 + f^2)*a^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + (2*a^2*d^2*e*f + 2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) - integrate((b^2*d^2*e^2 - a*b*d*e*f + (d^2*e^2 + f^2)*a^2 + (a^2*d^2*f^2 + b^2*d^2*f^2)*x^2 + (2*a^2*d^2*e*f + 2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + integrate(2*(a^2*b + b^3 - (a^3*e^c + a*b^2*e^c)*e^(d*x))/(a^3*b*f*x + a^3*b*e - (a^3*b*f*x*e^(2*c) + a^3*b*e*e^(2*c))*e^(2*d*x) - 2*(a^4*f*x*e^c + a^4*e*e^c)*e^(d*x)), x)","F",0
491,0,0,0,0.000000," ","integrate((f*x+e)^3*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + a^{3} b^{2}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} e^{3} + \frac{3 \, a f^{3} x^{2} + 6 \, a e f^{2} x + 3 \, a e^{2} f + 2 \, {\left(b d f^{3} x^{3} e^{\left(3 \, c\right)} + 3 \, b d e f^{2} x^{2} e^{\left(3 \, c\right)} + 3 \, b d e^{2} f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(2 \, a d f^{3} x^{3} e^{\left(2 \, c\right)} + 3 \, a e^{2} f e^{\left(2 \, c\right)} + 3 \, {\left(2 \, d e f^{2} + f^{3}\right)} a x^{2} e^{\left(2 \, c\right)} + 6 \, {\left(d e^{2} f + e f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(b d f^{3} x^{3} e^{c} + 3 \, b d e f^{2} x^{2} e^{c} + 3 \, b d e^{2} f x e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} - \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} x}{a^{2} d^{2}} + \frac{3 \, {\left(b d e^{2} f + a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{3 \, {\left(b d e^{2} f - a e f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} - \frac{{\left(d^{3} x^{3} \log\left(e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(-e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} - b^{2} f^{3}\right)}}{a^{3} d^{4}} - \frac{{\left(d^{3} x^{3} \log\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 6 \, d x {\rm Li}_{3}(e^{\left(d x + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{3} - b^{2} f^{3}\right)}}{a^{3} d^{4}} - \frac{3 \, {\left(a^{2} d e f^{2} - b^{2} d e f^{2} - a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)}}{a^{3} d^{4}} - \frac{3 \, {\left(a^{2} d e f^{2} - b^{2} d e f^{2} + a b f^{3}\right)} {\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d^{2} e^{2} f + 2 \, a b d e f^{2} - {\left(d^{2} e^{2} f - f^{3}\right)} a^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{4}} + \frac{3 \, {\left(b^{2} d^{2} e^{2} f - 2 \, a b d e f^{2} - {\left(d^{2} e^{2} f - f^{3}\right)} a^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{4}} + \frac{{\left(a^{2} f^{3} - b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} - b^{2} d e f^{2} + a b f^{3}\right)} d^{3} x^{3} - 6 \, {\left(b^{2} d^{2} e^{2} f - 2 \, a b d e f^{2} - {\left(d^{2} e^{2} f - f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{4 \, a^{3} d^{4}} + \frac{{\left(a^{2} f^{3} - b^{2} f^{3}\right)} d^{4} x^{4} + 4 \, {\left(a^{2} d e f^{2} - b^{2} d e f^{2} - a b f^{3}\right)} d^{3} x^{3} - 6 \, {\left(b^{2} d^{2} e^{2} f + 2 \, a b d e f^{2} - {\left(d^{2} e^{2} f - f^{3}\right)} a^{2}\right)} d^{2} x^{2}}{4 \, a^{3} d^{4}} + \int \frac{2 \, {\left(b^{5} f^{3} x^{3} + 3 \, b^{5} e f^{2} x^{2} + 3 \, b^{5} e^{2} f x - {\left(a b^{4} f^{3} x^{3} e^{c} + 3 \, a b^{4} e f^{2} x^{2} e^{c} + 3 \, a b^{4} e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{5} b + a^{3} b^{3} - {\left(a^{5} b e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \int -\frac{2 \, {\left(a f^{3} x^{3} + 3 \, a e f^{2} x^{2} + 3 \, a e^{2} f x - {\left(b f^{3} x^{3} e^{c} + 3 \, b e f^{2} x^{2} e^{c} + 3 \, b e^{2} f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-(b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + a^3*b^2)*d) + 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + (a^2 - b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 - b^2)*log(e^(-d*x - c) - 1)/(a^3*d))*e^3 + (3*a*f^3*x^2 + 6*a*e*f^2*x + 3*a*e^2*f + 2*(b*d*f^3*x^3*e^(3*c) + 3*b*d*e*f^2*x^2*e^(3*c) + 3*b*d*e^2*f*x*e^(3*c))*e^(3*d*x) - (2*a*d*f^3*x^3*e^(2*c) + 3*a*e^2*f*e^(2*c) + 3*(2*d*e*f^2 + f^3)*a*x^2*e^(2*c) + 6*(d*e^2*f + e*f^2)*a*x*e^(2*c))*e^(2*d*x) - 2*(b*d*f^3*x^3*e^c + 3*b*d*e*f^2*x^2*e^c + 3*b*d*e^2*f*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) - 3*(b*d*e^2*f + a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f - a*e*f^2)*x/(a^2*d^2) + 3*(b*d*e^2*f + a*e*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - 3*(b*d*e^2*f - a*e*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) - (d^3*x^3*log(e^(d*x + c) + 1) + 3*d^2*x^2*dilog(-e^(d*x + c)) - 6*d*x*polylog(3, -e^(d*x + c)) + 6*polylog(4, -e^(d*x + c)))*(a^2*f^3 - b^2*f^3)/(a^3*d^4) - (d^3*x^3*log(-e^(d*x + c) + 1) + 3*d^2*x^2*dilog(e^(d*x + c)) - 6*d*x*polylog(3, e^(d*x + c)) + 6*polylog(4, e^(d*x + c)))*(a^2*f^3 - b^2*f^3)/(a^3*d^4) - 3*(a^2*d*e*f^2 - b^2*d*e*f^2 - a*b*f^3)*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))/(a^3*d^4) - 3*(a^2*d*e*f^2 - b^2*d*e*f^2 + a*b*f^3)*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d^2*e^2*f + 2*a*b*d*e*f^2 - (d^2*e^2*f - f^3)*a^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^4) + 3*(b^2*d^2*e^2*f - 2*a*b*d*e*f^2 - (d^2*e^2*f - f^3)*a^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^4) + 1/4*((a^2*f^3 - b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 - b^2*d*e*f^2 + a*b*f^3)*d^3*x^3 - 6*(b^2*d^2*e^2*f - 2*a*b*d*e*f^2 - (d^2*e^2*f - f^3)*a^2)*d^2*x^2)/(a^3*d^4) + 1/4*((a^2*f^3 - b^2*f^3)*d^4*x^4 + 4*(a^2*d*e*f^2 - b^2*d*e*f^2 - a*b*f^3)*d^3*x^3 - 6*(b^2*d^2*e^2*f + 2*a*b*d*e*f^2 - (d^2*e^2*f - f^3)*a^2)*d^2*x^2)/(a^3*d^4) + integrate(2*(b^5*f^3*x^3 + 3*b^5*e*f^2*x^2 + 3*b^5*e^2*f*x - (a*b^4*f^3*x^3*e^c + 3*a*b^4*e*f^2*x^2*e^c + 3*a*b^4*e^2*f*x*e^c)*e^(d*x))/(a^5*b + a^3*b^3 - (a^5*b*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + a^4*b^2*e^c)*e^(d*x)), x) + integrate(-2*(a*f^3*x^3 + 3*a*e*f^2*x^2 + 3*a*e^2*f*x - (b*f^3*x^3*e^c + 3*b*e*f^2*x^2*e^c + 3*b*e^2*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
492,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + a^{3} b^{2}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} e^{2} + \frac{2 \, {\left(a f^{2} x + a e f + {\left(b d f^{2} x^{2} e^{\left(3 \, c\right)} + 2 \, b d e f x e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} - {\left(a d f^{2} x^{2} e^{\left(2 \, c\right)} + a e f e^{\left(2 \, c\right)} + {\left(2 \, d e f + f^{2}\right)} a x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(b d f^{2} x^{2} e^{c} + 2 \, b d e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} - \frac{{\left(2 \, b d e f + a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f - a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f + a f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{{\left(2 \, b d e f - a f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} - b^{2} f^{2}\right)}}{a^{3} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(a^{2} f^{2} - b^{2} f^{2}\right)}}{a^{3} d^{3}} - \frac{2 \, {\left(a^{2} d e f - b^{2} d e f - a b f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} - \frac{2 \, {\left(a^{2} d e f - b^{2} d e f + a b f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{{\left(a^{2} f^{2} - b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f - b^{2} d e f + a b f^{2}\right)} d^{2} x^{2}}{3 \, a^{3} d^{3}} + \frac{{\left(a^{2} f^{2} - b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(a^{2} d e f - b^{2} d e f - a b f^{2}\right)} d^{2} x^{2}}{3 \, a^{3} d^{3}} + \int \frac{2 \, {\left(b^{5} f^{2} x^{2} + 2 \, b^{5} e f x - {\left(a b^{4} f^{2} x^{2} e^{c} + 2 \, a b^{4} e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{5} b + a^{3} b^{3} - {\left(a^{5} b e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x} + \int -\frac{2 \, {\left(a f^{2} x^{2} + 2 \, a e f x - {\left(b f^{2} x^{2} e^{c} + 2 \, b e f x e^{c}\right)} e^{\left(d x\right)}\right)}}{a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}}\,{d x}"," ",0,"-(b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + a^3*b^2)*d) + 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + (a^2 - b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 - b^2)*log(e^(-d*x - c) - 1)/(a^3*d))*e^2 + 2*(a*f^2*x + a*e*f + (b*d*f^2*x^2*e^(3*c) + 2*b*d*e*f*x*e^(3*c))*e^(3*d*x) - (a*d*f^2*x^2*e^(2*c) + a*e*f*e^(2*c) + (2*d*e*f + f^2)*a*x*e^(2*c))*e^(2*d*x) - (b*d*f^2*x^2*e^c + 2*b*d*e*f*x*e^c)*e^(d*x))/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) - (2*b*d*e*f + a*f^2)*x/(a^2*d^2) + (2*b*d*e*f - a*f^2)*x/(a^2*d^2) + (2*b*d*e*f + a*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - (2*b*d*e*f - a*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) - (d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(a^2*f^2 - b^2*f^2)/(a^3*d^3) - (d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(a^2*f^2 - b^2*f^2)/(a^3*d^3) - 2*(a^2*d*e*f - b^2*d*e*f - a*b*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^3) - 2*(a^2*d*e*f - b^2*d*e*f + a*b*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^3) + 1/3*((a^2*f^2 - b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f - b^2*d*e*f + a*b*f^2)*d^2*x^2)/(a^3*d^3) + 1/3*((a^2*f^2 - b^2*f^2)*d^3*x^3 + 3*(a^2*d*e*f - b^2*d*e*f - a*b*f^2)*d^2*x^2)/(a^3*d^3) + integrate(2*(b^5*f^2*x^2 + 2*b^5*e*f*x - (a*b^4*f^2*x^2*e^c + 2*a*b^4*e*f*x*e^c)*e^(d*x))/(a^5*b + a^3*b^3 - (a^5*b*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + a^4*b^2*e^c)*e^(d*x)), x) + integrate(-2*(a*f^2*x^2 + 2*a*e*f*x - (b*f^2*x^2*e^c + 2*b*e*f*x*e^c)*e^(d*x))/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x)","F",0
493,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + a^{3} b^{2}\right)} d} + \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} e + {\left(16 \, a^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 16 \, b^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 16 \, a^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} + 16 \, b^{2} d \int \frac{x}{16 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} + a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} + \frac{2 \, b d x e^{\left(3 \, d x + 3 \, c\right)} - 2 \, b d x e^{\left(d x + c\right)} - {\left(2 \, a d x e^{\left(2 \, c\right)} + a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + a}{a^{2} d^{2} e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d^{2}} + 16 \, \int -\frac{a b^{4} x e^{\left(d x + c\right)} - b^{5} x}{8 \, {\left(a^{5} b + a^{3} b^{3} - {\left(a^{5} b e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 16 \, \int \frac{b x e^{\left(d x + c\right)} - a x}{8 \, {\left(a^{2} + b^{2} + {\left(a^{2} e^{\left(2 \, c\right)} + b^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)} f"," ",0,"-(b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + a^3*b^2)*d) + 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) - a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) + 2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) + (a^2 - b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (a^2 - b^2)*log(e^(-d*x - c) - 1)/(a^3*d))*e + (16*a^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 16*b^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 16*a^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) - a^3*d), x) + 16*b^2*d*integrate(1/16*x/(a^3*d*e^(d*x + c) - a^3*d), x) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) + a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) + (2*b*d*x*e^(3*d*x + 3*c) - 2*b*d*x*e^(d*x + c) - (2*a*d*x*e^(2*c) + a*e^(2*c))*e^(2*d*x) + a)/(a^2*d^2*e^(4*d*x + 4*c) - 2*a^2*d^2*e^(2*d*x + 2*c) + a^2*d^2) + 16*integrate(-1/8*(a*b^4*x*e^(d*x + c) - b^5*x)/(a^5*b + a^3*b^3 - (a^5*b*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + a^4*b^2*e^c)*e^(d*x)), x) + 16*integrate(1/8*(b*x*e^(d*x + c) - a*x)/(a^2 + b^2 + (a^2*e^(2*c) + b^2*e^(2*c))*e^(2*d*x)), x))*f","F",0
494,1,236,0,0.407942," ","integrate(csch(d*x+c)^3*sech(d*x+c)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{4} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{5} + a^{3} b^{2}\right)} d} - \frac{2 \, b \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d} + \frac{a \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d} - \frac{2 \, {\left(b e^{\left(-d x - c\right)} - a e^{\left(-2 \, d x - 2 \, c\right)} - b e^{\left(-3 \, d x - 3 \, c\right)}\right)}}{{\left(2 \, a^{2} e^{\left(-2 \, d x - 2 \, c\right)} - a^{2} e^{\left(-4 \, d x - 4 \, c\right)} - a^{2}\right)} d} - \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}"," ",0,"-b^4*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^5 + a^3*b^2)*d) - 2*b*arctan(e^(-d*x - c))/((a^2 + b^2)*d) + a*log(e^(-2*d*x - 2*c) + 1)/((a^2 + b^2)*d) - 2*(b*e^(-d*x - c) - a*e^(-2*d*x - 2*c) - b*e^(-3*d*x - 3*c))/((2*a^2*e^(-2*d*x - 2*c) - a^2*e^(-4*d*x - 4*c) - a^2)*d) - (a^2 - b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - (a^2 - b^2)*log(e^(-d*x - c) - 1)/(a^3*d)","A",0
495,0,0,0,0.000000," ","integrate(csch(d*x+c)^3*sech(d*x+c)/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a f - 2 \, {\left(b d f x e^{\left(3 \, c\right)} + b d e e^{\left(3 \, c\right)}\right)} e^{\left(3 \, d x\right)} + {\left(2 \, a d f x e^{\left(2 \, c\right)} + {\left(2 \, d e - f\right)} a e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + 2 \, {\left(b d f x e^{c} + b d e e^{c}\right)} e^{\left(d x\right)}}{a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e f x + a^{2} d^{2} e^{2} + {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(4 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(a^{2} d^{2} f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} d^{2} e f x e^{\left(2 \, c\right)} + a^{2} d^{2} e^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - 16 \, \int \frac{b^{2} d^{2} e^{2} + a b d e f - {\left(d^{2} e^{2} - f^{2}\right)} a^{2} - {\left(a^{2} d^{2} f^{2} - b^{2} d^{2} f^{2}\right)} x^{2} - {\left(2 \, a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{16 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 16 \, \int -\frac{b^{2} d^{2} e^{2} - a b d e f - {\left(d^{2} e^{2} - f^{2}\right)} a^{2} - {\left(a^{2} d^{2} f^{2} - b^{2} d^{2} f^{2}\right)} x^{2} - {\left(2 \, a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{16 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 16 \, \int -\frac{a b^{4} e^{\left(d x + c\right)} - b^{5}}{8 \, {\left(a^{5} b e + a^{3} b^{3} e + {\left(a^{5} b f + a^{3} b^{3} f\right)} x - {\left(a^{5} b e e^{\left(2 \, c\right)} + a^{3} b^{3} e e^{\left(2 \, c\right)} + {\left(a^{5} b f e^{\left(2 \, c\right)} + a^{3} b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e e^{c} + a^{4} b^{2} e e^{c} + {\left(a^{6} f e^{c} + a^{4} b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} + 16 \, \int \frac{b e^{\left(d x + c\right)} - a}{8 \, {\left(a^{2} e + b^{2} e + {\left(a^{2} f + b^{2} f\right)} x + {\left(a^{2} e e^{\left(2 \, c\right)} + b^{2} e e^{\left(2 \, c\right)} + {\left(a^{2} f e^{\left(2 \, c\right)} + b^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-(a*f - 2*(b*d*f*x*e^(3*c) + b*d*e*e^(3*c))*e^(3*d*x) + (2*a*d*f*x*e^(2*c) + (2*d*e - f)*a*e^(2*c))*e^(2*d*x) + 2*(b*d*f*x*e^c + b*d*e*e^c)*e^(d*x))/(a^2*d^2*f^2*x^2 + 2*a^2*d^2*e*f*x + a^2*d^2*e^2 + (a^2*d^2*f^2*x^2*e^(4*c) + 2*a^2*d^2*e*f*x*e^(4*c) + a^2*d^2*e^2*e^(4*c))*e^(4*d*x) - 2*(a^2*d^2*f^2*x^2*e^(2*c) + 2*a^2*d^2*e*f*x*e^(2*c) + a^2*d^2*e^2*e^(2*c))*e^(2*d*x)) - 16*integrate(1/16*(b^2*d^2*e^2 + a*b*d*e*f - (d^2*e^2 - f^2)*a^2 - (a^2*d^2*f^2 - b^2*d^2*f^2)*x^2 - (2*a^2*d^2*e*f - 2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + 16*integrate(-1/16*(b^2*d^2*e^2 - a*b*d*e*f - (d^2*e^2 - f^2)*a^2 - (a^2*d^2*f^2 - b^2*d^2*f^2)*x^2 - (2*a^2*d^2*e*f - 2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + 16*integrate(-1/8*(a*b^4*e^(d*x + c) - b^5)/(a^5*b*e + a^3*b^3*e + (a^5*b*f + a^3*b^3*f)*x - (a^5*b*e*e^(2*c) + a^3*b^3*e*e^(2*c) + (a^5*b*f*e^(2*c) + a^3*b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^6*e*e^c + a^4*b^2*e*e^c + (a^6*f*e^c + a^4*b^2*f*e^c)*x)*e^(d*x)), x) + 16*integrate(1/8*(b*e^(d*x + c) - a)/(a^2*e + b^2*e + (a^2*f + b^2*f)*x + (a^2*e*e^(2*c) + b^2*e*e^(2*c) + (a^2*f*e^(2*c) + b^2*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
496,0,0,0,0.000000," ","integrate((f*x+e)^2*csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","2 \, b e f {\left(\frac{2 \, {\left(d x + c\right)}}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} + 4 \, a f^{2} \int \frac{x e^{\left(d x + c\right)}}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} + 4 \, b f^{2} \int \frac{x}{a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + b^{2} d e^{\left(2 \, d x + 2 \, c\right)} + a^{2} d + b^{2} d}\,{d x} - \frac{1}{2} \, {\left(\frac{2 \, b^{5} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{5} + a^{3} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} + \frac{2 \, {\left(4 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} - 4 \, a^{2} b - 2 \, b^{3} + {\left(3 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)} - 2 \, {\left(a^{3} - a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(3 \, a^{3} + a b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}\right)}}{{\left(a^{4} + a^{2} b^{2} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d} - \frac{{\left(3 \, a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(3 \, a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} e^{2} + \frac{4 \, a e f \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} - \frac{2 \, {\left(2 \, a^{2} b d f^{2} + b^{3} d f^{2}\right)} x^{2} + 4 \, {\left(2 \, a^{2} b d e f + b^{3} d e f\right)} x + {\left(2 \, a^{3} e f e^{\left(5 \, c\right)} + 2 \, a b^{2} e f e^{\left(5 \, c\right)} + {\left(3 \, a^{3} d f^{2} e^{\left(5 \, c\right)} + a b^{2} d f^{2} e^{\left(5 \, c\right)}\right)} x^{2} + 2 \, {\left({\left(3 \, d e f + f^{2}\right)} a^{3} e^{\left(5 \, c\right)} + {\left(d e f + f^{2}\right)} a b^{2} e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} - 2 \, {\left(b^{3} d f^{2} x^{2} e^{\left(4 \, c\right)} + 2 \, b^{3} d e f x e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left({\left(a^{3} d f^{2} e^{\left(3 \, c\right)} - a b^{2} d f^{2} e^{\left(3 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{3} d e f e^{\left(3 \, c\right)} - a b^{2} d e f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - 4 \, {\left(a^{2} b d f^{2} x^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b d e f x e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - {\left(2 \, a^{3} e f e^{c} + 2 \, a b^{2} e f e^{c} - {\left(3 \, a^{3} d f^{2} e^{c} + a b^{2} d f^{2} e^{c}\right)} x^{2} - 2 \, {\left({\left(3 \, d e f - f^{2}\right)} a^{3} e^{c} + {\left(d e f - f^{2}\right)} a b^{2} e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} d^{2} + a^{2} b^{2} d^{2} + {\left(a^{4} d^{2} e^{\left(6 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(a^{4} d^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(a^{4} d^{2} e^{\left(2 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} + \frac{{\left(2 \, b d e f + a f^{2}\right)} x}{a^{2} d^{2}} + \frac{{\left(2 \, b d e f - a f^{2}\right)} x}{a^{2} d^{2}} - \frac{{\left(2 \, b d e f + a f^{2}\right)} \log\left(e^{\left(d x + c\right)} + 1\right)}{a^{2} d^{3}} - \frac{{\left(2 \, b d e f - a f^{2}\right)} \log\left(e^{\left(d x + c\right)} - 1\right)}{a^{2} d^{3}} + \frac{{\left(d^{2} x^{2} \log\left(e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(-e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x + c\right)})\right)} {\left(3 \, a^{2} f^{2} - 2 \, b^{2} f^{2}\right)}}{2 \, a^{3} d^{3}} - \frac{{\left(d^{2} x^{2} \log\left(-e^{\left(d x + c\right)} + 1\right) + 2 \, d x {\rm Li}_2\left(e^{\left(d x + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x + c\right)})\right)} {\left(3 \, a^{2} f^{2} - 2 \, b^{2} f^{2}\right)}}{2 \, a^{3} d^{3}} + \frac{{\left(3 \, a^{2} d e f - 2 \, b^{2} d e f - 2 \, a b f^{2}\right)} {\left(d x \log\left(e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} - \frac{{\left(3 \, a^{2} d e f - 2 \, b^{2} d e f + 2 \, a b f^{2}\right)} {\left(d x \log\left(-e^{\left(d x + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x + c\right)}\right)\right)}}{a^{3} d^{3}} + \frac{{\left(3 \, a^{2} f^{2} - 2 \, b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(3 \, a^{2} d e f - 2 \, b^{2} d e f + 2 \, a b f^{2}\right)} d^{2} x^{2}}{6 \, a^{3} d^{3}} - \frac{{\left(3 \, a^{2} f^{2} - 2 \, b^{2} f^{2}\right)} d^{3} x^{3} + 3 \, {\left(3 \, a^{2} d e f - 2 \, b^{2} d e f - 2 \, a b f^{2}\right)} d^{2} x^{2}}{6 \, a^{3} d^{3}} - \int -\frac{2 \, {\left(b^{5} f^{2} x^{2} e^{c} + 2 \, b^{5} e f x e^{c}\right)} e^{\left(d x\right)}}{a^{5} b + a^{3} b^{3} - {\left(a^{5} b e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} e^{\left(d x\right)}}\,{d x}"," ",0,"2*b*e*f*(2*(d*x + c)/((a^2 + b^2)*d^2) - log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2)) + 4*a*f^2*integrate(x*e^(d*x + c)/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) + 4*b*f^2*integrate(x/(a^2*d*e^(2*d*x + 2*c) + b^2*d*e^(2*d*x + 2*c) + a^2*d + b^2*d), x) - 1/2*(2*b^5*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^5 + a^3*b^2)*sqrt(a^2 + b^2)*d) + 2*(4*a^2*b*e^(-2*d*x - 2*c) + 2*b^3*e^(-4*d*x - 4*c) - 4*a^2*b - 2*b^3 + (3*a^3 + a*b^2)*e^(-d*x - c) - 2*(a^3 - a*b^2)*e^(-3*d*x - 3*c) + (3*a^3 + a*b^2)*e^(-5*d*x - 5*c))/((a^4 + a^2*b^2 - (a^4 + a^2*b^2)*e^(-2*d*x - 2*c) - (a^4 + a^2*b^2)*e^(-4*d*x - 4*c) + (a^4 + a^2*b^2)*e^(-6*d*x - 6*c))*d) - (3*a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (3*a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d))*e^2 + 4*a*e*f*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) - (2*(2*a^2*b*d*f^2 + b^3*d*f^2)*x^2 + 4*(2*a^2*b*d*e*f + b^3*d*e*f)*x + (2*a^3*e*f*e^(5*c) + 2*a*b^2*e*f*e^(5*c) + (3*a^3*d*f^2*e^(5*c) + a*b^2*d*f^2*e^(5*c))*x^2 + 2*((3*d*e*f + f^2)*a^3*e^(5*c) + (d*e*f + f^2)*a*b^2*e^(5*c))*x)*e^(5*d*x) - 2*(b^3*d*f^2*x^2*e^(4*c) + 2*b^3*d*e*f*x*e^(4*c))*e^(4*d*x) - 2*((a^3*d*f^2*e^(3*c) - a*b^2*d*f^2*e^(3*c))*x^2 + 2*(a^3*d*e*f*e^(3*c) - a*b^2*d*e*f*e^(3*c))*x)*e^(3*d*x) - 4*(a^2*b*d*f^2*x^2*e^(2*c) + 2*a^2*b*d*e*f*x*e^(2*c))*e^(2*d*x) - (2*a^3*e*f*e^c + 2*a*b^2*e*f*e^c - (3*a^3*d*f^2*e^c + a*b^2*d*f^2*e^c)*x^2 - 2*((3*d*e*f - f^2)*a^3*e^c + (d*e*f - f^2)*a*b^2*e^c)*x)*e^(d*x))/(a^4*d^2 + a^2*b^2*d^2 + (a^4*d^2*e^(6*c) + a^2*b^2*d^2*e^(6*c))*e^(6*d*x) - (a^4*d^2*e^(4*c) + a^2*b^2*d^2*e^(4*c))*e^(4*d*x) - (a^4*d^2*e^(2*c) + a^2*b^2*d^2*e^(2*c))*e^(2*d*x)) + (2*b*d*e*f + a*f^2)*x/(a^2*d^2) + (2*b*d*e*f - a*f^2)*x/(a^2*d^2) - (2*b*d*e*f + a*f^2)*log(e^(d*x + c) + 1)/(a^2*d^3) - (2*b*d*e*f - a*f^2)*log(e^(d*x + c) - 1)/(a^2*d^3) + 1/2*(d^2*x^2*log(e^(d*x + c) + 1) + 2*d*x*dilog(-e^(d*x + c)) - 2*polylog(3, -e^(d*x + c)))*(3*a^2*f^2 - 2*b^2*f^2)/(a^3*d^3) - 1/2*(d^2*x^2*log(-e^(d*x + c) + 1) + 2*d*x*dilog(e^(d*x + c)) - 2*polylog(3, e^(d*x + c)))*(3*a^2*f^2 - 2*b^2*f^2)/(a^3*d^3) + (3*a^2*d*e*f - 2*b^2*d*e*f - 2*a*b*f^2)*(d*x*log(e^(d*x + c) + 1) + dilog(-e^(d*x + c)))/(a^3*d^3) - (3*a^2*d*e*f - 2*b^2*d*e*f + 2*a*b*f^2)*(d*x*log(-e^(d*x + c) + 1) + dilog(e^(d*x + c)))/(a^3*d^3) + 1/6*((3*a^2*f^2 - 2*b^2*f^2)*d^3*x^3 + 3*(3*a^2*d*e*f - 2*b^2*d*e*f + 2*a*b*f^2)*d^2*x^2)/(a^3*d^3) - 1/6*((3*a^2*f^2 - 2*b^2*f^2)*d^3*x^3 + 3*(3*a^2*d*e*f - 2*b^2*d*e*f - 2*a*b*f^2)*d^2*x^2)/(a^3*d^3) - integrate(-2*(b^5*f^2*x^2*e^c + 2*b^5*e*f*x*e^c)*e^(d*x)/(a^5*b + a^3*b^3 - (a^5*b*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + a^4*b^2*e^c)*e^(d*x)), x)","F",0
497,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{2 \, b^{5} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{5} + a^{3} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} + \frac{2 \, {\left(4 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} - 4 \, a^{2} b - 2 \, b^{3} + {\left(3 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)} - 2 \, {\left(a^{3} - a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(3 \, a^{3} + a b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}\right)}}{{\left(a^{4} + a^{2} b^{2} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d} - \frac{{\left(3 \, a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(3 \, a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} e - {\left(32 \, b^{5} \int -\frac{x e^{\left(d x + c\right)}}{16 \, {\left(a^{5} b + a^{3} b^{3} - {\left(a^{5} b e^{\left(2 \, c\right)} + a^{3} b^{3} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e^{c} + a^{4} b^{2} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 96 \, a^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 64 \, b^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} + 96 \, a^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} - 64 \, b^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} - \frac{2 \, b^{3} d x e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a^{2} b d x e^{\left(2 \, d x + 2 \, c\right)} + 2 \, {\left(a^{3} d e^{\left(3 \, c\right)} - a b^{2} d e^{\left(3 \, c\right)}\right)} x e^{\left(3 \, d x\right)} - 2 \, {\left(2 \, a^{2} b d + b^{3} d\right)} x - {\left(a^{3} e^{\left(5 \, c\right)} + a b^{2} e^{\left(5 \, c\right)} + {\left(3 \, a^{3} d e^{\left(5 \, c\right)} + a b^{2} d e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} + {\left(a^{3} e^{c} + a b^{2} e^{c} - {\left(3 \, a^{3} d e^{c} + a b^{2} d e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} d^{2} + a^{2} b^{2} d^{2} + {\left(a^{4} d^{2} e^{\left(6 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(6 \, c\right)}\right)} e^{\left(6 \, d x\right)} - {\left(a^{4} d^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(a^{4} d^{2} e^{\left(2 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}} - \frac{2 \, b x}{{\left(a^{2} + b^{2}\right)} d} - \frac{2 \, a \arctan\left(e^{\left(d x + c\right)}\right)}{{\left(a^{2} + b^{2}\right)} d^{2}} + \frac{b \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{{\left(a^{2} + b^{2}\right)} d^{2}}\right)} f"," ",0,"-1/2*(2*b^5*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^5 + a^3*b^2)*sqrt(a^2 + b^2)*d) + 2*(4*a^2*b*e^(-2*d*x - 2*c) + 2*b^3*e^(-4*d*x - 4*c) - 4*a^2*b - 2*b^3 + (3*a^3 + a*b^2)*e^(-d*x - c) - 2*(a^3 - a*b^2)*e^(-3*d*x - 3*c) + (3*a^3 + a*b^2)*e^(-5*d*x - 5*c))/((a^4 + a^2*b^2 - (a^4 + a^2*b^2)*e^(-2*d*x - 2*c) - (a^4 + a^2*b^2)*e^(-4*d*x - 4*c) + (a^4 + a^2*b^2)*e^(-6*d*x - 6*c))*d) - (3*a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (3*a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d))*e - (32*b^5*integrate(-1/16*x*e^(d*x + c)/(a^5*b + a^3*b^3 - (a^5*b*e^(2*c) + a^3*b^3*e^(2*c))*e^(2*d*x) - 2*(a^6*e^c + a^4*b^2*e^c)*e^(d*x)), x) + 96*a^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 64*b^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) + a^3*d), x) + 96*a^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) - a^3*d), x) - 64*b^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) - a^3*d), x) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) - (2*b^3*d*x*e^(4*d*x + 4*c) + 4*a^2*b*d*x*e^(2*d*x + 2*c) + 2*(a^3*d*e^(3*c) - a*b^2*d*e^(3*c))*x*e^(3*d*x) - 2*(2*a^2*b*d + b^3*d)*x - (a^3*e^(5*c) + a*b^2*e^(5*c) + (3*a^3*d*e^(5*c) + a*b^2*d*e^(5*c))*x)*e^(5*d*x) + (a^3*e^c + a*b^2*e^c - (3*a^3*d*e^c + a*b^2*d*e^c)*x)*e^(d*x))/(a^4*d^2 + a^2*b^2*d^2 + (a^4*d^2*e^(6*c) + a^2*b^2*d^2*e^(6*c))*e^(6*d*x) - (a^4*d^2*e^(4*c) + a^2*b^2*d^2*e^(4*c))*e^(4*d*x) - (a^4*d^2*e^(2*c) + a^2*b^2*d^2*e^(2*c))*e^(2*d*x)) - 2*b*x/((a^2 + b^2)*d) - 2*a*arctan(e^(d*x + c))/((a^2 + b^2)*d^2) + b*log(e^(2*d*x + 2*c) + 1)/((a^2 + b^2)*d^2))*f","F",0
498,1,334,0,0.409635," ","integrate(csch(d*x+c)^3*sech(d*x+c)^2/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{5} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{5} + a^{3} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{4 \, a^{2} b e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, b^{3} e^{\left(-4 \, d x - 4 \, c\right)} - 4 \, a^{2} b - 2 \, b^{3} + {\left(3 \, a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)} - 2 \, {\left(a^{3} - a b^{2}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(3 \, a^{3} + a b^{2}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{{\left(a^{4} + a^{2} b^{2} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d} + \frac{{\left(3 \, a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{2 \, a^{3} d} - \frac{{\left(3 \, a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{2 \, a^{3} d}"," ",0,"-b^5*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^5 + a^3*b^2)*sqrt(a^2 + b^2)*d) - (4*a^2*b*e^(-2*d*x - 2*c) + 2*b^3*e^(-4*d*x - 4*c) - 4*a^2*b - 2*b^3 + (3*a^3 + a*b^2)*e^(-d*x - c) - 2*(a^3 - a*b^2)*e^(-3*d*x - 3*c) + (3*a^3 + a*b^2)*e^(-5*d*x - 5*c))/((a^4 + a^2*b^2 - (a^4 + a^2*b^2)*e^(-2*d*x - 2*c) - (a^4 + a^2*b^2)*e^(-4*d*x - 4*c) + (a^4 + a^2*b^2)*e^(-6*d*x - 6*c))*d) + 1/2*(3*a^2 - 2*b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - 1/2*(3*a^2 - 2*b^2)*log(e^(-d*x - c) - 1)/(a^3*d)","A",0
499,0,0,0,0.000000," ","integrate(csch(d*x+c)^3*sech(d*x+c)^2/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-32 \, b^{5} \int -\frac{e^{\left(d x + c\right)}}{16 \, {\left(a^{5} b e + a^{3} b^{3} e + {\left(a^{5} b f + a^{3} b^{3} f\right)} x - {\left(a^{5} b e e^{\left(2 \, c\right)} + a^{3} b^{3} e e^{\left(2 \, c\right)} + {\left(a^{5} b f e^{\left(2 \, c\right)} + a^{3} b^{3} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{6} e e^{c} + a^{4} b^{2} e e^{c} + {\left(a^{6} f e^{c} + a^{4} b^{2} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} - \frac{4 \, a^{2} b d e + 2 \, b^{3} d e + 2 \, {\left(2 \, a^{2} b d f + b^{3} d f\right)} x + {\left({\left(3 \, d e - f\right)} a^{3} e^{\left(5 \, c\right)} + {\left(d e - f\right)} a b^{2} e^{\left(5 \, c\right)} + {\left(3 \, a^{3} d f e^{\left(5 \, c\right)} + a b^{2} d f e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} - 2 \, {\left(b^{3} d f x e^{\left(4 \, c\right)} + b^{3} d e e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - 2 \, {\left(a^{3} d e e^{\left(3 \, c\right)} - a b^{2} d e e^{\left(3 \, c\right)} + {\left(a^{3} d f e^{\left(3 \, c\right)} - a b^{2} d f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} - 4 \, {\left(a^{2} b d f x e^{\left(2 \, c\right)} + a^{2} b d e e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} + {\left({\left(3 \, d e + f\right)} a^{3} e^{c} + {\left(d e + f\right)} a b^{2} e^{c} + {\left(3 \, a^{3} d f e^{c} + a b^{2} d f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} d^{2} e^{2} + a^{2} b^{2} d^{2} e^{2} + {\left(a^{4} d^{2} f^{2} + a^{2} b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f + a^{2} b^{2} d^{2} e f\right)} x + {\left(a^{4} d^{2} e^{2} e^{\left(6 \, c\right)} + a^{2} b^{2} d^{2} e^{2} e^{\left(6 \, c\right)} + {\left(a^{4} d^{2} f^{2} e^{\left(6 \, c\right)} + a^{2} b^{2} d^{2} f^{2} e^{\left(6 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f e^{\left(6 \, c\right)} + a^{2} b^{2} d^{2} e f e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(6 \, d x\right)} - {\left(a^{4} d^{2} e^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{4} d^{2} f^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)} - {\left(a^{4} d^{2} e^{2} e^{\left(2 \, c\right)} + a^{2} b^{2} d^{2} e^{2} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{2} e^{\left(2 \, c\right)} + a^{2} b^{2} d^{2} f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f e^{\left(2 \, c\right)} + a^{2} b^{2} d^{2} e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}} - 32 \, \int \frac{2 \, b^{2} d^{2} e^{2} + 2 \, a b d e f - {\left(3 \, d^{2} e^{2} - 2 \, f^{2}\right)} a^{2} - {\left(3 \, a^{2} d^{2} f^{2} - 2 \, b^{2} d^{2} f^{2}\right)} x^{2} - 2 \, {\left(3 \, a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{64 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 32 \, \int -\frac{2 \, b^{2} d^{2} e^{2} - 2 \, a b d e f - {\left(3 \, d^{2} e^{2} - 2 \, f^{2}\right)} a^{2} - {\left(3 \, a^{2} d^{2} f^{2} - 2 \, b^{2} d^{2} f^{2}\right)} x^{2} - 2 \, {\left(3 \, a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{64 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} - 32 \, \int \frac{a f e^{\left(d x + c\right)} + b f}{16 \, {\left(a^{2} d e^{2} + b^{2} d e^{2} + {\left(a^{2} d f^{2} + b^{2} d f^{2}\right)} x^{2} + 2 \, {\left(a^{2} d e f + b^{2} d e f\right)} x + {\left(a^{2} d e^{2} e^{\left(2 \, c\right)} + b^{2} d e^{2} e^{\left(2 \, c\right)} + {\left(a^{2} d f^{2} e^{\left(2 \, c\right)} + b^{2} d f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{2} d e f e^{\left(2 \, c\right)} + b^{2} d e f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-32*b^5*integrate(-1/16*e^(d*x + c)/(a^5*b*e + a^3*b^3*e + (a^5*b*f + a^3*b^3*f)*x - (a^5*b*e*e^(2*c) + a^3*b^3*e*e^(2*c) + (a^5*b*f*e^(2*c) + a^3*b^3*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^6*e*e^c + a^4*b^2*e*e^c + (a^6*f*e^c + a^4*b^2*f*e^c)*x)*e^(d*x)), x) - (4*a^2*b*d*e + 2*b^3*d*e + 2*(2*a^2*b*d*f + b^3*d*f)*x + ((3*d*e - f)*a^3*e^(5*c) + (d*e - f)*a*b^2*e^(5*c) + (3*a^3*d*f*e^(5*c) + a*b^2*d*f*e^(5*c))*x)*e^(5*d*x) - 2*(b^3*d*f*x*e^(4*c) + b^3*d*e*e^(4*c))*e^(4*d*x) - 2*(a^3*d*e*e^(3*c) - a*b^2*d*e*e^(3*c) + (a^3*d*f*e^(3*c) - a*b^2*d*f*e^(3*c))*x)*e^(3*d*x) - 4*(a^2*b*d*f*x*e^(2*c) + a^2*b*d*e*e^(2*c))*e^(2*d*x) + ((3*d*e + f)*a^3*e^c + (d*e + f)*a*b^2*e^c + (3*a^3*d*f*e^c + a*b^2*d*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^2 + a^2*b^2*d^2*e^2 + (a^4*d^2*f^2 + a^2*b^2*d^2*f^2)*x^2 + 2*(a^4*d^2*e*f + a^2*b^2*d^2*e*f)*x + (a^4*d^2*e^2*e^(6*c) + a^2*b^2*d^2*e^2*e^(6*c) + (a^4*d^2*f^2*e^(6*c) + a^2*b^2*d^2*f^2*e^(6*c))*x^2 + 2*(a^4*d^2*e*f*e^(6*c) + a^2*b^2*d^2*e*f*e^(6*c))*x)*e^(6*d*x) - (a^4*d^2*e^2*e^(4*c) + a^2*b^2*d^2*e^2*e^(4*c) + (a^4*d^2*f^2*e^(4*c) + a^2*b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^4*d^2*e*f*e^(4*c) + a^2*b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x) - (a^4*d^2*e^2*e^(2*c) + a^2*b^2*d^2*e^2*e^(2*c) + (a^4*d^2*f^2*e^(2*c) + a^2*b^2*d^2*f^2*e^(2*c))*x^2 + 2*(a^4*d^2*e*f*e^(2*c) + a^2*b^2*d^2*e*f*e^(2*c))*x)*e^(2*d*x)) - 32*integrate(1/64*(2*b^2*d^2*e^2 + 2*a*b*d*e*f - (3*d^2*e^2 - 2*f^2)*a^2 - (3*a^2*d^2*f^2 - 2*b^2*d^2*f^2)*x^2 - 2*(3*a^2*d^2*e*f - 2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) - 32*integrate(-1/64*(2*b^2*d^2*e^2 - 2*a*b*d*e*f - (3*d^2*e^2 - 2*f^2)*a^2 - (3*a^2*d^2*f^2 - 2*b^2*d^2*f^2)*x^2 - 2*(3*a^2*d^2*e*f - 2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) - 32*integrate(1/16*(a*f*e^(d*x + c) + b*f)/(a^2*d*e^2 + b^2*d*e^2 + (a^2*d*f^2 + b^2*d*f^2)*x^2 + 2*(a^2*d*e*f + b^2*d*e*f)*x + (a^2*d*e^2*e^(2*c) + b^2*d*e^2*e^(2*c) + (a^2*d*f^2*e^(2*c) + b^2*d*f^2*e^(2*c))*x^2 + 2*(a^2*d*e*f*e^(2*c) + b^2*d*e*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
500,0,0,0,0.000000," ","integrate((f*x+e)*csch(d*x+c)^3*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-{\left(\frac{b^{6} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} d} + \frac{{\left(3 \, a^{2} b + 5 \, b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{{\left(2 \, a^{3} + 3 \, a b^{2}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{4 \, a b^{2} e^{\left(-4 \, d x - 4 \, c\right)} - {\left(3 \, a^{2} b + 2 \, b^{3}\right)} e^{\left(-d x - c\right)} + 2 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} b - 2 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - {\left(a^{2} b - 2 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)} + 2 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)} + {\left(3 \, a^{2} b + 2 \, b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{{\left(a^{4} + a^{2} b^{2} - 2 \, {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-8 \, d x - 8 \, c\right)}\right)} d} + \frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} + \frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}\right)} e + {\left(128 \, a^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 64 \, b^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} + a^{3} d\right)}}\,{d x} - 128 \, a^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} + 64 \, b^{2} d \int \frac{x}{64 \, {\left(a^{3} d e^{\left(d x + c\right)} - a^{3} d\right)}}\,{d x} - a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} + 1\right)}{a^{3} d^{2}}\right)} + a b {\left(\frac{d x + c}{a^{3} d^{2}} - \frac{\log\left(e^{\left(d x + c\right)} - 1\right)}{a^{3} d^{2}}\right)} + \frac{a b^{2} + {\left(a^{2} b e^{\left(7 \, c\right)} + {\left(3 \, a^{2} b d e^{\left(7 \, c\right)} + 2 \, b^{3} d e^{\left(7 \, c\right)}\right)} x\right)} e^{\left(7 \, d x\right)} - {\left(2 \, a^{3} e^{\left(6 \, c\right)} + a b^{2} e^{\left(6 \, c\right)} + 2 \, {\left(2 \, a^{3} d e^{\left(6 \, c\right)} + a b^{2} d e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(6 \, d x\right)} - {\left(a^{2} b e^{\left(5 \, c\right)} + {\left(a^{2} b d e^{\left(5 \, c\right)} - 2 \, b^{3} d e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} - {\left(4 \, a b^{2} d x e^{\left(4 \, c\right)} + a b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} - {\left(a^{2} b e^{\left(3 \, c\right)} - {\left(a^{2} b d e^{\left(3 \, c\right)} - 2 \, b^{3} d e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} + {\left(2 \, a^{3} e^{\left(2 \, c\right)} + a b^{2} e^{\left(2 \, c\right)} - 2 \, {\left(2 \, a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + {\left(a^{2} b e^{c} - {\left(3 \, a^{2} b d e^{c} + 2 \, b^{3} d e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} d^{2} + a^{2} b^{2} d^{2} + {\left(a^{4} d^{2} e^{\left(8 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(8 \, c\right)}\right)} e^{\left(8 \, d x\right)} - 2 \, {\left(a^{4} d^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)}} + 64 \, \int -\frac{a b^{6} x e^{\left(d x + c\right)} - b^{7} x}{32 \, {\left(a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5} - {\left(a^{7} b e^{\left(2 \, c\right)} + 2 \, a^{5} b^{3} e^{\left(2 \, c\right)} + a^{3} b^{5} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{8} e^{c} + 2 \, a^{6} b^{2} e^{c} + a^{4} b^{4} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 64 \, \int \frac{{\left(3 \, a^{2} b e^{c} + 5 \, b^{3} e^{c}\right)} x e^{\left(d x\right)} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} x}{64 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} e^{\left(2 \, c\right)} + b^{4} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}\right)} f"," ",0,"-(b^6*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^7 + 2*a^5*b^2 + a^3*b^4)*d) + (3*a^2*b + 5*b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) - (2*a^3 + 3*a*b^2)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) + (4*a*b^2*e^(-4*d*x - 4*c) - (3*a^2*b + 2*b^3)*e^(-d*x - c) + 2*(2*a^3 + a*b^2)*e^(-2*d*x - 2*c) + (a^2*b - 2*b^3)*e^(-3*d*x - 3*c) - (a^2*b - 2*b^3)*e^(-5*d*x - 5*c) + 2*(2*a^3 + a*b^2)*e^(-6*d*x - 6*c) + (3*a^2*b + 2*b^3)*e^(-7*d*x - 7*c))/((a^4 + a^2*b^2 - 2*(a^4 + a^2*b^2)*e^(-4*d*x - 4*c) + (a^4 + a^2*b^2)*e^(-8*d*x - 8*c))*d) + (2*a^2 - b^2)*log(e^(-d*x - c) + 1)/(a^3*d) + (2*a^2 - b^2)*log(e^(-d*x - c) - 1)/(a^3*d))*e + (128*a^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 64*b^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) + a^3*d), x) - 128*a^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) - a^3*d), x) + 64*b^2*d*integrate(1/64*x/(a^3*d*e^(d*x + c) - a^3*d), x) - a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) + 1)/(a^3*d^2)) + a*b*((d*x + c)/(a^3*d^2) - log(e^(d*x + c) - 1)/(a^3*d^2)) + (a*b^2 + (a^2*b*e^(7*c) + (3*a^2*b*d*e^(7*c) + 2*b^3*d*e^(7*c))*x)*e^(7*d*x) - (2*a^3*e^(6*c) + a*b^2*e^(6*c) + 2*(2*a^3*d*e^(6*c) + a*b^2*d*e^(6*c))*x)*e^(6*d*x) - (a^2*b*e^(5*c) + (a^2*b*d*e^(5*c) - 2*b^3*d*e^(5*c))*x)*e^(5*d*x) - (4*a*b^2*d*x*e^(4*c) + a*b^2*e^(4*c))*e^(4*d*x) - (a^2*b*e^(3*c) - (a^2*b*d*e^(3*c) - 2*b^3*d*e^(3*c))*x)*e^(3*d*x) + (2*a^3*e^(2*c) + a*b^2*e^(2*c) - 2*(2*a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x)*e^(2*d*x) + (a^2*b*e^c - (3*a^2*b*d*e^c + 2*b^3*d*e^c)*x)*e^(d*x))/(a^4*d^2 + a^2*b^2*d^2 + (a^4*d^2*e^(8*c) + a^2*b^2*d^2*e^(8*c))*e^(8*d*x) - 2*(a^4*d^2*e^(4*c) + a^2*b^2*d^2*e^(4*c))*e^(4*d*x)) + 64*integrate(-1/32*(a*b^6*x*e^(d*x + c) - b^7*x)/(a^7*b + 2*a^5*b^3 + a^3*b^5 - (a^7*b*e^(2*c) + 2*a^5*b^3*e^(2*c) + a^3*b^5*e^(2*c))*e^(2*d*x) - 2*(a^8*e^c + 2*a^6*b^2*e^c + a^4*b^4*e^c)*e^(d*x)), x) + 64*integrate(1/64*((3*a^2*b*e^c + 5*b^3*e^c)*x*e^(d*x) - 2*(2*a^3 + 3*a*b^2)*x)/(a^4 + 2*a^2*b^2 + b^4 + (a^4*e^(2*c) + 2*a^2*b^2*e^(2*c) + b^4*e^(2*c))*e^(2*d*x)), x))*f","F",0
501,1,418,0,0.420574," ","integrate(csch(d*x+c)^3*sech(d*x+c)^3/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{b^{6} \log\left(-2 \, a e^{\left(-d x - c\right)} + b e^{\left(-2 \, d x - 2 \, c\right)} - b\right)}{{\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} d} - \frac{{\left(3 \, a^{2} b + 5 \, b^{3}\right)} \arctan\left(e^{\left(-d x - c\right)}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} + \frac{{\left(2 \, a^{3} + 3 \, a b^{2}\right)} \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{4 \, a b^{2} e^{\left(-4 \, d x - 4 \, c\right)} - {\left(3 \, a^{2} b + 2 \, b^{3}\right)} e^{\left(-d x - c\right)} + 2 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{2} b - 2 \, b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - {\left(a^{2} b - 2 \, b^{3}\right)} e^{\left(-5 \, d x - 5 \, c\right)} + 2 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-6 \, d x - 6 \, c\right)} + {\left(3 \, a^{2} b + 2 \, b^{3}\right)} e^{\left(-7 \, d x - 7 \, c\right)}}{{\left(a^{4} + a^{2} b^{2} - 2 \, {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-8 \, d x - 8 \, c\right)}\right)} d} - \frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} + 1\right)}{a^{3} d} - \frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(e^{\left(-d x - c\right)} - 1\right)}{a^{3} d}"," ",0,"-b^6*log(-2*a*e^(-d*x - c) + b*e^(-2*d*x - 2*c) - b)/((a^7 + 2*a^5*b^2 + a^3*b^4)*d) - (3*a^2*b + 5*b^3)*arctan(e^(-d*x - c))/((a^4 + 2*a^2*b^2 + b^4)*d) + (2*a^3 + 3*a*b^2)*log(e^(-2*d*x - 2*c) + 1)/((a^4 + 2*a^2*b^2 + b^4)*d) - (4*a*b^2*e^(-4*d*x - 4*c) - (3*a^2*b + 2*b^3)*e^(-d*x - c) + 2*(2*a^3 + a*b^2)*e^(-2*d*x - 2*c) + (a^2*b - 2*b^3)*e^(-3*d*x - 3*c) - (a^2*b - 2*b^3)*e^(-5*d*x - 5*c) + 2*(2*a^3 + a*b^2)*e^(-6*d*x - 6*c) + (3*a^2*b + 2*b^3)*e^(-7*d*x - 7*c))/((a^4 + a^2*b^2 - 2*(a^4 + a^2*b^2)*e^(-4*d*x - 4*c) + (a^4 + a^2*b^2)*e^(-8*d*x - 8*c))*d) - (2*a^2 - b^2)*log(e^(-d*x - c) + 1)/(a^3*d) - (2*a^2 - b^2)*log(e^(-d*x - c) - 1)/(a^3*d)","B",0
502,0,0,0,0.000000," ","integrate(csch(d*x+c)^3*sech(d*x+c)^3/(f*x+e)/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{a b^{2} f - {\left(2 \, b^{3} d e e^{\left(7 \, c\right)} + {\left(3 \, d e - f\right)} a^{2} b e^{\left(7 \, c\right)} + {\left(3 \, a^{2} b d f e^{\left(7 \, c\right)} + 2 \, b^{3} d f e^{\left(7 \, c\right)}\right)} x\right)} e^{\left(7 \, d x\right)} + {\left(2 \, {\left(2 \, d e - f\right)} a^{3} e^{\left(6 \, c\right)} + {\left(2 \, d e - f\right)} a b^{2} e^{\left(6 \, c\right)} + 2 \, {\left(2 \, a^{3} d f e^{\left(6 \, c\right)} + a b^{2} d f e^{\left(6 \, c\right)}\right)} x\right)} e^{\left(6 \, d x\right)} - {\left(2 \, b^{3} d e e^{\left(5 \, c\right)} - {\left(d e - f\right)} a^{2} b e^{\left(5 \, c\right)} - {\left(a^{2} b d f e^{\left(5 \, c\right)} - 2 \, b^{3} d f e^{\left(5 \, c\right)}\right)} x\right)} e^{\left(5 \, d x\right)} + {\left(4 \, a b^{2} d f x e^{\left(4 \, c\right)} + {\left(4 \, d e - f\right)} a b^{2} e^{\left(4 \, c\right)}\right)} e^{\left(4 \, d x\right)} + {\left(2 \, b^{3} d e e^{\left(3 \, c\right)} - {\left(d e + f\right)} a^{2} b e^{\left(3 \, c\right)} - {\left(a^{2} b d f e^{\left(3 \, c\right)} - 2 \, b^{3} d f e^{\left(3 \, c\right)}\right)} x\right)} e^{\left(3 \, d x\right)} + {\left(2 \, {\left(2 \, d e + f\right)} a^{3} e^{\left(2 \, c\right)} + {\left(2 \, d e + f\right)} a b^{2} e^{\left(2 \, c\right)} + 2 \, {\left(2 \, a^{3} d f e^{\left(2 \, c\right)} + a b^{2} d f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} + {\left(2 \, b^{3} d e e^{c} + {\left(3 \, d e + f\right)} a^{2} b e^{c} + {\left(3 \, a^{2} b d f e^{c} + 2 \, b^{3} d f e^{c}\right)} x\right)} e^{\left(d x\right)}}{a^{4} d^{2} e^{2} + a^{2} b^{2} d^{2} e^{2} + {\left(a^{4} d^{2} f^{2} + a^{2} b^{2} d^{2} f^{2}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f + a^{2} b^{2} d^{2} e f\right)} x + {\left(a^{4} d^{2} e^{2} e^{\left(8 \, c\right)} + a^{2} b^{2} d^{2} e^{2} e^{\left(8 \, c\right)} + {\left(a^{4} d^{2} f^{2} e^{\left(8 \, c\right)} + a^{2} b^{2} d^{2} f^{2} e^{\left(8 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f e^{\left(8 \, c\right)} + a^{2} b^{2} d^{2} e f e^{\left(8 \, c\right)}\right)} x\right)} e^{\left(8 \, d x\right)} - 2 \, {\left(a^{4} d^{2} e^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e^{2} e^{\left(4 \, c\right)} + {\left(a^{4} d^{2} f^{2} e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} f^{2} e^{\left(4 \, c\right)}\right)} x^{2} + 2 \, {\left(a^{4} d^{2} e f e^{\left(4 \, c\right)} + a^{2} b^{2} d^{2} e f e^{\left(4 \, c\right)}\right)} x\right)} e^{\left(4 \, d x\right)}} + 64 \, \int -\frac{a b^{6} e^{\left(d x + c\right)} - b^{7}}{32 \, {\left(a^{7} b e + 2 \, a^{5} b^{3} e + a^{3} b^{5} e + {\left(a^{7} b f + 2 \, a^{5} b^{3} f + a^{3} b^{5} f\right)} x - {\left(a^{7} b e e^{\left(2 \, c\right)} + 2 \, a^{5} b^{3} e e^{\left(2 \, c\right)} + a^{3} b^{5} e e^{\left(2 \, c\right)} + {\left(a^{7} b f e^{\left(2 \, c\right)} + 2 \, a^{5} b^{3} f e^{\left(2 \, c\right)} + a^{3} b^{5} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)} - 2 \, {\left(a^{8} e e^{c} + 2 \, a^{6} b^{2} e e^{c} + a^{4} b^{4} e e^{c} + {\left(a^{8} f e^{c} + 2 \, a^{6} b^{2} f e^{c} + a^{4} b^{4} f e^{c}\right)} x\right)} e^{\left(d x\right)}\right)}}\,{d x} - 64 \, \int \frac{b^{2} d^{2} e^{2} + a b d e f - {\left(2 \, d^{2} e^{2} - f^{2}\right)} a^{2} - {\left(2 \, a^{2} d^{2} f^{2} - b^{2} d^{2} f^{2}\right)} x^{2} - {\left(4 \, a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f - a b d f^{2}\right)} x}{64 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} - {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 64 \, \int -\frac{b^{2} d^{2} e^{2} - a b d e f - {\left(2 \, d^{2} e^{2} - f^{2}\right)} a^{2} - {\left(2 \, a^{2} d^{2} f^{2} - b^{2} d^{2} f^{2}\right)} x^{2} - {\left(4 \, a^{2} d^{2} e f - 2 \, b^{2} d^{2} e f + a b d f^{2}\right)} x}{64 \, {\left(a^{3} d^{2} f^{3} x^{3} + 3 \, a^{3} d^{2} e f^{2} x^{2} + 3 \, a^{3} d^{2} e^{2} f x + a^{3} d^{2} e^{3} + {\left(a^{3} d^{2} f^{3} x^{3} e^{c} + 3 \, a^{3} d^{2} e f^{2} x^{2} e^{c} + 3 \, a^{3} d^{2} e^{2} f x e^{c} + a^{3} d^{2} e^{3} e^{c}\right)} e^{\left(d x\right)}\right)}}\,{d x} + 64 \, \int -\frac{2 \, {\left(2 \, d^{2} e^{2} - f^{2}\right)} a^{3} + 2 \, {\left(3 \, d^{2} e^{2} - f^{2}\right)} a b^{2} + 2 \, {\left(2 \, a^{3} d^{2} f^{2} + 3 \, a b^{2} d^{2} f^{2}\right)} x^{2} + 4 \, {\left(2 \, a^{3} d^{2} e f + 3 \, a b^{2} d^{2} e f\right)} x - {\left({\left(3 \, d^{2} e^{2} - 2 \, f^{2}\right)} a^{2} b e^{c} + {\left(5 \, d^{2} e^{2} - 2 \, f^{2}\right)} b^{3} e^{c} + {\left(3 \, a^{2} b d^{2} f^{2} e^{c} + 5 \, b^{3} d^{2} f^{2} e^{c}\right)} x^{2} + 2 \, {\left(3 \, a^{2} b d^{2} e f e^{c} + 5 \, b^{3} d^{2} e f e^{c}\right)} x\right)} e^{\left(d x\right)}}{64 \, {\left(a^{4} d^{2} e^{3} + 2 \, a^{2} b^{2} d^{2} e^{3} + b^{4} d^{2} e^{3} + {\left(a^{4} d^{2} f^{3} + 2 \, a^{2} b^{2} d^{2} f^{3} + b^{4} d^{2} f^{3}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} + 2 \, a^{2} b^{2} d^{2} e f^{2} + b^{4} d^{2} e f^{2}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f + 2 \, a^{2} b^{2} d^{2} e^{2} f + b^{4} d^{2} e^{2} f\right)} x + {\left(a^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} e^{3} e^{\left(2 \, c\right)} + {\left(a^{4} d^{2} f^{3} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} f^{3} e^{\left(2 \, c\right)} + b^{4} d^{2} f^{3} e^{\left(2 \, c\right)}\right)} x^{3} + 3 \, {\left(a^{4} d^{2} e f^{2} e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e f^{2} e^{\left(2 \, c\right)} + b^{4} d^{2} e f^{2} e^{\left(2 \, c\right)}\right)} x^{2} + 3 \, {\left(a^{4} d^{2} e^{2} f e^{\left(2 \, c\right)} + 2 \, a^{2} b^{2} d^{2} e^{2} f e^{\left(2 \, c\right)} + b^{4} d^{2} e^{2} f e^{\left(2 \, c\right)}\right)} x\right)} e^{\left(2 \, d x\right)}\right)}}\,{d x}"," ",0,"-(a*b^2*f - (2*b^3*d*e*e^(7*c) + (3*d*e - f)*a^2*b*e^(7*c) + (3*a^2*b*d*f*e^(7*c) + 2*b^3*d*f*e^(7*c))*x)*e^(7*d*x) + (2*(2*d*e - f)*a^3*e^(6*c) + (2*d*e - f)*a*b^2*e^(6*c) + 2*(2*a^3*d*f*e^(6*c) + a*b^2*d*f*e^(6*c))*x)*e^(6*d*x) - (2*b^3*d*e*e^(5*c) - (d*e - f)*a^2*b*e^(5*c) - (a^2*b*d*f*e^(5*c) - 2*b^3*d*f*e^(5*c))*x)*e^(5*d*x) + (4*a*b^2*d*f*x*e^(4*c) + (4*d*e - f)*a*b^2*e^(4*c))*e^(4*d*x) + (2*b^3*d*e*e^(3*c) - (d*e + f)*a^2*b*e^(3*c) - (a^2*b*d*f*e^(3*c) - 2*b^3*d*f*e^(3*c))*x)*e^(3*d*x) + (2*(2*d*e + f)*a^3*e^(2*c) + (2*d*e + f)*a*b^2*e^(2*c) + 2*(2*a^3*d*f*e^(2*c) + a*b^2*d*f*e^(2*c))*x)*e^(2*d*x) + (2*b^3*d*e*e^c + (3*d*e + f)*a^2*b*e^c + (3*a^2*b*d*f*e^c + 2*b^3*d*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^2 + a^2*b^2*d^2*e^2 + (a^4*d^2*f^2 + a^2*b^2*d^2*f^2)*x^2 + 2*(a^4*d^2*e*f + a^2*b^2*d^2*e*f)*x + (a^4*d^2*e^2*e^(8*c) + a^2*b^2*d^2*e^2*e^(8*c) + (a^4*d^2*f^2*e^(8*c) + a^2*b^2*d^2*f^2*e^(8*c))*x^2 + 2*(a^4*d^2*e*f*e^(8*c) + a^2*b^2*d^2*e*f*e^(8*c))*x)*e^(8*d*x) - 2*(a^4*d^2*e^2*e^(4*c) + a^2*b^2*d^2*e^2*e^(4*c) + (a^4*d^2*f^2*e^(4*c) + a^2*b^2*d^2*f^2*e^(4*c))*x^2 + 2*(a^4*d^2*e*f*e^(4*c) + a^2*b^2*d^2*e*f*e^(4*c))*x)*e^(4*d*x)) + 64*integrate(-1/32*(a*b^6*e^(d*x + c) - b^7)/(a^7*b*e + 2*a^5*b^3*e + a^3*b^5*e + (a^7*b*f + 2*a^5*b^3*f + a^3*b^5*f)*x - (a^7*b*e*e^(2*c) + 2*a^5*b^3*e*e^(2*c) + a^3*b^5*e*e^(2*c) + (a^7*b*f*e^(2*c) + 2*a^5*b^3*f*e^(2*c) + a^3*b^5*f*e^(2*c))*x)*e^(2*d*x) - 2*(a^8*e*e^c + 2*a^6*b^2*e*e^c + a^4*b^4*e*e^c + (a^8*f*e^c + 2*a^6*b^2*f*e^c + a^4*b^4*f*e^c)*x)*e^(d*x)), x) - 64*integrate(1/64*(b^2*d^2*e^2 + a*b*d*e*f - (2*d^2*e^2 - f^2)*a^2 - (2*a^2*d^2*f^2 - b^2*d^2*f^2)*x^2 - (4*a^2*d^2*e*f - 2*b^2*d^2*e*f - a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 - (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + 64*integrate(-1/64*(b^2*d^2*e^2 - a*b*d*e*f - (2*d^2*e^2 - f^2)*a^2 - (2*a^2*d^2*f^2 - b^2*d^2*f^2)*x^2 - (4*a^2*d^2*e*f - 2*b^2*d^2*e*f + a*b*d*f^2)*x)/(a^3*d^2*f^3*x^3 + 3*a^3*d^2*e*f^2*x^2 + 3*a^3*d^2*e^2*f*x + a^3*d^2*e^3 + (a^3*d^2*f^3*x^3*e^c + 3*a^3*d^2*e*f^2*x^2*e^c + 3*a^3*d^2*e^2*f*x*e^c + a^3*d^2*e^3*e^c)*e^(d*x)), x) + 64*integrate(-1/64*(2*(2*d^2*e^2 - f^2)*a^3 + 2*(3*d^2*e^2 - f^2)*a*b^2 + 2*(2*a^3*d^2*f^2 + 3*a*b^2*d^2*f^2)*x^2 + 4*(2*a^3*d^2*e*f + 3*a*b^2*d^2*e*f)*x - ((3*d^2*e^2 - 2*f^2)*a^2*b*e^c + (5*d^2*e^2 - 2*f^2)*b^3*e^c + (3*a^2*b*d^2*f^2*e^c + 5*b^3*d^2*f^2*e^c)*x^2 + 2*(3*a^2*b*d^2*e*f*e^c + 5*b^3*d^2*e*f*e^c)*x)*e^(d*x))/(a^4*d^2*e^3 + 2*a^2*b^2*d^2*e^3 + b^4*d^2*e^3 + (a^4*d^2*f^3 + 2*a^2*b^2*d^2*f^3 + b^4*d^2*f^3)*x^3 + 3*(a^4*d^2*e*f^2 + 2*a^2*b^2*d^2*e*f^2 + b^4*d^2*e*f^2)*x^2 + 3*(a^4*d^2*e^2*f + 2*a^2*b^2*d^2*e^2*f + b^4*d^2*e^2*f)*x + (a^4*d^2*e^3*e^(2*c) + 2*a^2*b^2*d^2*e^3*e^(2*c) + b^4*d^2*e^3*e^(2*c) + (a^4*d^2*f^3*e^(2*c) + 2*a^2*b^2*d^2*f^3*e^(2*c) + b^4*d^2*f^3*e^(2*c))*x^3 + 3*(a^4*d^2*e*f^2*e^(2*c) + 2*a^2*b^2*d^2*e*f^2*e^(2*c) + b^4*d^2*e*f^2*e^(2*c))*x^2 + 3*(a^4*d^2*e^2*f*e^(2*c) + 2*a^2*b^2*d^2*e^2*f*e^(2*c) + b^4*d^2*e^2*f*e^(2*c))*x)*e^(2*d*x)), x)","F",0
