1,0,0,160,0.012000," ","int((d*x+c)^3*sech(b*x+a),x)","\int \left(d x +c \right)^{3} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int((d*x+c)^3*sech(b*x+a),x)","F"
2,0,0,106,0.018000," ","int((d*x+c)^2*sech(b*x+a),x)","\int \left(d x +c \right)^{2} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int((d*x+c)^2*sech(b*x+a),x)","F"
3,1,147,54,0.026000," ","int((d*x+c)*sech(b*x+a),x)","\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{b}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{b}+\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{i d \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{i d \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 a d \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 c \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"I/b*d*ln(1-I*exp(b*x+a))*x-I/b*d*ln(1+I*exp(b*x+a))*x+I/b^2*d*ln(1-I*exp(b*x+a))*a-I/b^2*d*ln(1+I*exp(b*x+a))*a-I/b^2*d*dilog(1+I*exp(b*x+a))+I/b^2*d*dilog(1-I*exp(b*x+a))-2/b^2*a*d*arctan(exp(b*x+a))+2/b*c*arctan(exp(b*x+a))","B"
4,0,0,16,0.015000," ","int(sech(b*x+a)/(d*x+c),x)","\int \frac{\mathrm{sech}\left(b x +a \right)}{d x +c}\, dx"," ",0,"int(sech(b*x+a)/(d*x+c),x)","F"
5,1,298,101,0.324000," ","int((d*x+c)^3*sech(b*x+a)^2,x)","-\frac{2 \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right)}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{3 d \,c^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{6 d \,c^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{6 d^{3} a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{2 d^{3} x^{3}}{b}-\frac{6 d^{3} a^{2} x}{b^{3}}-\frac{4 d^{3} a^{3}}{b^{4}}-\frac{3 d^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) x^{2}}{b^{2}}-\frac{3 d^{3} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right) x}{b^{3}}+\frac{3 d^{3} \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}-\frac{12 d^{2} c a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 d^{2} c \,x^{2}}{b}+\frac{12 d^{2} c a x}{b^{2}}+\frac{6 d^{2} c \,a^{2}}{b^{3}}-\frac{6 d^{2} c \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) x}{b^{2}}-\frac{3 d^{2} c \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}"," ",0,"-2*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/b/(1+exp(2*b*x+2*a))-3*d/b^2*c^2*ln(1+exp(2*b*x+2*a))+6*d/b^2*c^2*ln(exp(b*x+a))+6*d^3/b^4*a^2*ln(exp(b*x+a))+2*d^3/b*x^3-6*d^3/b^3*a^2*x-4*d^3/b^4*a^3-3*d^3/b^2*ln(1+exp(2*b*x+2*a))*x^2-3*d^3/b^3*polylog(2,-exp(2*b*x+2*a))*x+3/2*d^3*polylog(3,-exp(2*b*x+2*a))/b^4-12*d^2/b^3*c*a*ln(exp(b*x+a))+6*d^2/b*c*x^2+12*d^2/b^2*c*a*x+6*d^2/b^3*c*a^2-6*d^2/b^2*c*ln(1+exp(2*b*x+2*a))*x-3*d^2/b^3*c*polylog(2,-exp(2*b*x+2*a))","B"
6,1,159,73,0.319000," ","int((d*x+c)^2*sech(b*x+a)^2,x)","-\frac{2 \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{2 d c \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{4 d c \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 d^{2} x^{2}}{b}+\frac{4 d^{2} a x}{b^{2}}+\frac{2 d^{2} a^{2}}{b^{3}}-\frac{2 d^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) x}{b^{2}}-\frac{d^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{4 d^{2} a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-2*(d^2*x^2+2*c*d*x+c^2)/b/(1+exp(2*b*x+2*a))-2*d/b^2*c*ln(1+exp(2*b*x+2*a))+4*d/b^2*c*ln(exp(b*x+a))+2*d^2/b*x^2+4*d^2/b^2*a*x+2*d^2/b^3*a^2-2*d^2/b^2*ln(1+exp(2*b*x+2*a))*x-d^2*polylog(2,-exp(2*b*x+2*a))/b^3-4*d^2/b^3*a*ln(exp(b*x+a))","B"
7,1,57,29,0.292000," ","int((d*x+c)*sech(b*x+a)^2,x)","\frac{2 d x}{b}+\frac{2 d a}{b^{2}}-\frac{2 \left(d x +c \right)}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{d \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}"," ",0,"2*d/b*x+2*d/b^2*a-2*(d*x+c)/b/(1+exp(2*b*x+2*a))-d/b^2*ln(1+exp(2*b*x+2*a))","A"
8,0,0,18,0.011000," ","int(sech(b*x+a)^2/(d*x+c),x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2}}{d x +c}\, dx"," ",0,"int(sech(b*x+a)^2/(d*x+c),x)","F"
9,0,0,262,0.013000," ","int((d*x+c)^3*sech(b*x+a)^3,x)","\int \left(d x +c \right)^{3} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int((d*x+c)^3*sech(b*x+a)^3,x)","F"
10,0,0,160,0.013000," ","int((d*x+c)^2*sech(b*x+a)^3,x)","\int \left(d x +c \right)^{2} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int((d*x+c)^2*sech(b*x+a)^3,x)","F"
11,1,216,87,0.326000," ","int((d*x+c)*sech(b*x+a)^3,x)","\frac{{\mathrm e}^{b x +a} \left(b d x \,{\mathrm e}^{2 b x +2 a}+b c \,{\mathrm e}^{2 b x +2 a}-b d x +d \,{\mathrm e}^{2 b x +2 a}-c b +d \right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}+\frac{c \arctan \left({\mathrm e}^{b x +a}\right)}{b}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{2 b}-\frac{i d \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{2 b}+\frac{i d \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{i d \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{i d \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{d a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"exp(b*x+a)*(b*d*x*exp(2*b*x+2*a)+b*c*exp(2*b*x+2*a)-b*d*x+d*exp(2*b*x+2*a)-c*b+d)/b^2/(1+exp(2*b*x+2*a))^2+1/b*c*arctan(exp(b*x+a))-1/2*I/b*d*ln(1+I*exp(b*x+a))*x-1/2*I/b^2*d*ln(1+I*exp(b*x+a))*a+1/2*I/b*d*ln(1-I*exp(b*x+a))*x+1/2*I/b^2*d*ln(1-I*exp(b*x+a))*a-1/2*I/b^2*d*dilog(1+I*exp(b*x+a))+1/2*I/b^2*d*dilog(1-I*exp(b*x+a))-1/b^2*d*a*arctan(exp(b*x+a))","B"
12,0,0,18,0.013000," ","int(sech(b*x+a)^3/(d*x+c),x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3}}{d x +c}\, dx"," ",0,"int(sech(b*x+a)^3/(d*x+c),x)","F"
13,0,0,16,0.013000," ","int(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x)","\int \frac{x}{\mathrm{sech}\left(x \right)^{\frac{3}{2}}}-\frac{x \sqrt{\mathrm{sech}\left(x \right)}}{3}\, dx"," ",0,"int(x/sech(x)^(3/2)-1/3*x*sech(x)^(1/2),x)","F"
14,0,0,16,0.012000," ","int(x/sech(x)^(5/2)-3/5*x/sech(x)^(1/2),x)","\int \frac{x}{\mathrm{sech}\left(x \right)^{\frac{5}{2}}}-\frac{3 x}{5 \sqrt{\mathrm{sech}\left(x \right)}}\, dx"," ",0,"int(x/sech(x)^(5/2)-3/5*x/sech(x)^(1/2),x)","F"
15,0,0,31,0.011000," ","int(x/sech(x)^(7/2)-5/21*x*sech(x)^(1/2),x)","\int \frac{x}{\mathrm{sech}\left(x \right)^{\frac{7}{2}}}-\frac{5 x \sqrt{\mathrm{sech}\left(x \right)}}{21}\, dx"," ",0,"int(x/sech(x)^(7/2)-5/21*x*sech(x)^(1/2),x)","F"
16,0,0,63,0.011000," ","int(x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2),x)","\int \frac{x^{2}}{\mathrm{sech}\left(x \right)^{\frac{3}{2}}}-\frac{x^{2} \sqrt{\mathrm{sech}\left(x \right)}}{3}\, dx"," ",0,"int(x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2),x)","F"