1,0,0,0,0.000000," ","integrate((d*x+c)^3*sech(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, c^{3} \arctan\left(e^{\left(-b x - a\right)}\right)}{b} + 2 \, \int \frac{{\left(d^{3} x^{3} e^{a} + 3 \, c d^{2} x^{2} e^{a} + 3 \, c^{2} d x e^{a}\right)} e^{\left(b x\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\,{d x}"," ",0,"-2*c^3*arctan(e^(-b*x - a))/b + 2*integrate((d^3*x^3*e^a + 3*c*d^2*x^2*e^a + 3*c^2*d*x*e^a)*e^(b*x)/(e^(2*b*x + 2*a) + 1), x)","F",0
2,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, c^{2} \arctan\left(e^{\left(-b x - a\right)}\right)}{b} + 2 \, \int \frac{{\left(d^{2} x^{2} e^{a} + 2 \, c d x e^{a}\right)} e^{\left(b x\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\,{d x}"," ",0,"-2*c^2*arctan(e^(-b*x - a))/b + 2*integrate((d^2*x^2*e^a + 2*c*d*x*e^a)*e^(b*x)/(e^(2*b*x + 2*a) + 1), x)","F",0
3,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a),x, algorithm=""maxima"")","2 \, d \int \frac{x e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\,{d x} - \frac{2 \, c \arctan\left(e^{\left(-b x - a\right)}\right)}{b}"," ",0,"2*d*integrate(x*e^(b*x + a)/(e^(2*b*x + 2*a) + 1), x) - 2*c*arctan(e^(-b*x - a))/b","F",0
4,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(sech(b*x + a)/(d*x + c), x)","F",0
5,1,238,0,0.503520," ","integrate((d*x+c)^3*sech(b*x+a)^2,x, algorithm=""maxima"")","3 \, c^{2} d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{\log\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, a\right)}\right)}{b^{2}}\right)} - \frac{3 \, {\left(2 \, b x \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, b x + 2 \, a\right)}\right)\right)} c d^{2}}{b^{3}} + \frac{2 \, c^{3}}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} + 1\right)}} - \frac{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2}\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{3 \, {\left(2 \, b^{2} x^{2} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(2 \, b x + 2 \, a\right)}\right) - {\rm Li}_{3}(-e^{\left(2 \, b x + 2 \, a\right)})\right)} d^{3}}{2 \, b^{4}} + \frac{2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2}\right)}}{b^{4}}"," ",0,"3*c^2*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) + b) - log((e^(2*b*x + 2*a) + 1)*e^(-2*a))/b^2) - 3*(2*b*x*log(e^(2*b*x + 2*a) + 1) + dilog(-e^(2*b*x + 2*a)))*c*d^2/b^3 + 2*c^3/(b*(e^(-2*b*x - 2*a) + 1)) - 2*(d^3*x^3 + 3*c*d^2*x^2)/(b*e^(2*b*x + 2*a) + b) - 3/2*(2*b^2*x^2*log(e^(2*b*x + 2*a) + 1) + 2*b*x*dilog(-e^(2*b*x + 2*a)) - polylog(3, -e^(2*b*x + 2*a)))*d^3/b^4 + 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2)/b^4","B",0
6,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a)^2,x, algorithm=""maxima"")","-2 \, d^{2} {\left(\frac{x^{2}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - 2 \, \int \frac{x}{b e^{\left(2 \, b x + 2 \, a\right)} + b}\,{d x}\right)} + 2 \, c d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{\log\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, a\right)}\right)}{b^{2}}\right)} + \frac{2 \, c^{2}}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} + 1\right)}}"," ",0,"-2*d^2*(x^2/(b*e^(2*b*x + 2*a) + b) - 2*integrate(x/(b*e^(2*b*x + 2*a) + b), x)) + 2*c*d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) + b) - log((e^(2*b*x + 2*a) + 1)*e^(-2*a))/b^2) + 2*c^2/(b*(e^(-2*b*x - 2*a) + 1))","F",0
7,1,72,0,0.329050," ","integrate((d*x+c)*sech(b*x+a)^2,x, algorithm=""maxima"")","d {\left(\frac{2 \, x e^{\left(2 \, b x + 2 \, a\right)}}{b e^{\left(2 \, b x + 2 \, a\right)} + b} - \frac{\log\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, a\right)}\right)}{b^{2}}\right)} + \frac{2 \, c}{b {\left(e^{\left(-2 \, b x - 2 \, a\right)} + 1\right)}}"," ",0,"d*(2*x*e^(2*b*x + 2*a)/(b*e^(2*b*x + 2*a) + b) - log((e^(2*b*x + 2*a) + 1)*e^(-2*a))/b^2) + 2*c/(b*(e^(-2*b*x - 2*a) + 1))","B",0
8,0,0,0,0.000000," ","integrate(sech(b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","-4 \, d \int \frac{1}{2 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + {\left(b d^{2} x^{2} e^{\left(2 \, a\right)} + 2 \, b c d x e^{\left(2 \, a\right)} + b c^{2} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}\right)}}\,{d x} - \frac{2}{b d x + b c + {\left(b d x e^{\left(2 \, a\right)} + b c e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}}"," ",0,"-4*d*integrate(1/2/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + (b*d^2*x^2*e^(2*a) + 2*b*c*d*x*e^(2*a) + b*c^2*e^(2*a))*e^(2*b*x)), x) - 2/(b*d*x + b*c + (b*d*x*e^(2*a) + b*c*e^(2*a))*e^(2*b*x))","F",0
9,0,0,0,0.000000," ","integrate((d*x+c)^3*sech(b*x+a)^3,x, algorithm=""maxima"")","b^{2} d^{3} \int \frac{x^{3} e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} + 3 \, b^{2} c d^{2} \int \frac{x^{2} e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} + 3 \, b^{2} c^{2} d \int \frac{x e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} - c^{3} {\left(\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} - \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}\right)} - 6 \, d^{3} \int \frac{x e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} - \frac{6 \, c d^{2} \arctan\left(e^{\left(b x + a\right)}\right)}{b^{3}} + \frac{{\left(b d^{3} x^{3} e^{\left(3 \, a\right)} + 3 \, c^{2} d e^{\left(3 \, a\right)} + 3 \, {\left(b c d^{2} + d^{3}\right)} x^{2} e^{\left(3 \, a\right)} + 3 \, {\left(b c^{2} d + 2 \, c d^{2}\right)} x e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d^{3} x^{3} e^{a} - 3 \, c^{2} d e^{a} + 3 \, {\left(b c d^{2} - d^{3}\right)} x^{2} e^{a} + 3 \, {\left(b c^{2} d - 2 \, c d^{2}\right)} x e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}"," ",0,"b^2*d^3*integrate(x^3*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) + 3*b^2*c*d^2*integrate(x^2*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) + 3*b^2*c^2*d*integrate(x*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) - c^3*(arctan(e^(-b*x - a))/b - (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1))) - 6*d^3*integrate(x*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) - 6*c*d^2*arctan(e^(b*x + a))/b^3 + ((b*d^3*x^3*e^(3*a) + 3*c^2*d*e^(3*a) + 3*(b*c*d^2 + d^3)*x^2*e^(3*a) + 3*(b*c^2*d + 2*c*d^2)*x*e^(3*a))*e^(3*b*x) - (b*d^3*x^3*e^a - 3*c^2*d*e^a + 3*(b*c*d^2 - d^3)*x^2*e^a + 3*(b*c^2*d - 2*c*d^2)*x*e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2)","F",0
10,0,0,0,0.000000," ","integrate((d*x+c)^2*sech(b*x+a)^3,x, algorithm=""maxima"")","b^{2} d^{2} \int \frac{x^{2} e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} + 2 \, b^{2} c d \int \frac{x e^{\left(b x + a\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}\,{d x} - c^{2} {\left(\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} - \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}\right)} + \frac{{\left(b d^{2} x^{2} e^{\left(3 \, a\right)} + 2 \, c d e^{\left(3 \, a\right)} + 2 \, {\left(b c d + d^{2}\right)} x e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d^{2} x^{2} e^{a} - 2 \, c d e^{a} + 2 \, {\left(b c d - d^{2}\right)} x e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} - \frac{2 \, d^{2} \arctan\left(e^{\left(b x + a\right)}\right)}{b^{3}}"," ",0,"b^2*d^2*integrate(x^2*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) + 2*b^2*c*d*integrate(x*e^(b*x + a)/(b^2*e^(2*b*x + 2*a) + b^2), x) - c^2*(arctan(e^(-b*x - a))/b - (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1))) + ((b*d^2*x^2*e^(3*a) + 2*c*d*e^(3*a) + 2*(b*c*d + d^2)*x*e^(3*a))*e^(3*b*x) - (b*d^2*x^2*e^a - 2*c*d*e^a + 2*(b*c*d - d^2)*x*e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2) - 2*d^2*arctan(e^(b*x + a))/b^3","F",0
11,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a)^3,x, algorithm=""maxima"")","d {\left(\frac{{\left(b x e^{\left(3 \, a\right)} + e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b x e^{a} - e^{a}\right)} e^{\left(b x\right)}}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}} + 8 \, \int \frac{x e^{\left(b x + a\right)}}{8 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}\,{d x}\right)} - c {\left(\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} - \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}\right)}"," ",0,"d*(((b*x*e^(3*a) + e^(3*a))*e^(3*b*x) - (b*x*e^a - e^a)*e^(b*x))/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2) + 8*integrate(1/8*x*e^(b*x + a)/(e^(2*b*x + 2*a) + 1), x)) - c*(arctan(e^(-b*x - a))/b - (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1)))","F",0
12,0,0,0,0.000000," ","integrate(sech(b*x+a)^3/(d*x+c),x, algorithm=""maxima"")","\frac{{\left(b d x e^{\left(3 \, a\right)} + {\left(b c - d\right)} e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x\right)} - {\left(b d x e^{a} + {\left(b c + d\right)} e^{a}\right)} e^{\left(b x\right)}}{b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} + {\left(b^{2} d^{2} x^{2} e^{\left(4 \, a\right)} + 2 \, b^{2} c d x e^{\left(4 \, a\right)} + b^{2} c^{2} e^{\left(4 \, a\right)}\right)} e^{\left(4 \, b x\right)} + 2 \, {\left(b^{2} d^{2} x^{2} e^{\left(2 \, a\right)} + 2 \, b^{2} c d x e^{\left(2 \, a\right)} + b^{2} c^{2} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}} + 8 \, \int \frac{{\left(b^{2} d^{2} x^{2} e^{a} + 2 \, b^{2} c d x e^{a} + {\left(b^{2} c^{2} - 2 \, d^{2}\right)} e^{a}\right)} e^{\left(b x\right)}}{8 \, {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3} + {\left(b^{2} d^{3} x^{3} e^{\left(2 \, a\right)} + 3 \, b^{2} c d^{2} x^{2} e^{\left(2 \, a\right)} + 3 \, b^{2} c^{2} d x e^{\left(2 \, a\right)} + b^{2} c^{3} e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x\right)}\right)}}\,{d x}"," ",0,"((b*d*x*e^(3*a) + (b*c - d)*e^(3*a))*e^(3*b*x) - (b*d*x*e^a + (b*c + d)*e^a)*e^(b*x))/(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 + (b^2*d^2*x^2*e^(4*a) + 2*b^2*c*d*x*e^(4*a) + b^2*c^2*e^(4*a))*e^(4*b*x) + 2*(b^2*d^2*x^2*e^(2*a) + 2*b^2*c*d*x*e^(2*a) + b^2*c^2*e^(2*a))*e^(2*b*x)) + 8*integrate(1/8*(b^2*d^2*x^2*e^a + 2*b^2*c*d*x*e^a + (b^2*c^2 - 2*d^2)*e^a)*e^(b*x)/(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3 + (b^2*d^3*x^3*e^(2*a) + 3*b^2*c*d^2*x^2*e^(2*a) + 3*b^2*c^2*d*x*e^(2*a) + b^2*c^3*e^(2*a))*e^(2*b*x)), x)","F",0
13,0,0,0,0.000000," ","integrate(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x, algorithm=""maxima"")","\int -\frac{1}{3} \, x \sqrt{\operatorname{sech}\left(x\right)} + \frac{x}{\operatorname{sech}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-1/3*x*sqrt(sech(x)) + x/sech(x)^(3/2), x)","F",0
14,0,0,0,0.000000," ","integrate(x/sech(x)^(5/2)-3/5*x/sech(x)^(1/2),x, algorithm=""maxima"")","\int -\frac{3 \, x}{5 \, \sqrt{\operatorname{sech}\left(x\right)}} + \frac{x}{\operatorname{sech}\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(-3/5*x/sqrt(sech(x)) + x/sech(x)^(5/2), x)","F",0
15,0,0,0,0.000000," ","integrate(x/sech(x)^(7/2)-5/21*x*sech(x)^(1/2),x, algorithm=""maxima"")","\int -\frac{5}{21} \, x \sqrt{\operatorname{sech}\left(x\right)} + \frac{x}{\operatorname{sech}\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(-5/21*x*sqrt(sech(x)) + x/sech(x)^(7/2), x)","F",0
16,0,0,0,0.000000," ","integrate(x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2),x, algorithm=""maxima"")","\int -\frac{1}{3} \, x^{2} \sqrt{\operatorname{sech}\left(x\right)} + \frac{x^{2}}{\operatorname{sech}\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-1/3*x^2*sqrt(sech(x)) + x^2/sech(x)^(3/2), x)","F",0
