1,1,12,11,0.016000," ","int(sech(b*x+a),x)","\frac{\arctan \left(\sinh \left(b x +a \right)\right)}{b}"," ",0,"arctan(sinh(b*x+a))/b","A"
2,1,11,10,0.228000," ","int(sech(b*x+a)^2,x)","\frac{\tanh \left(b x +a \right)}{b}"," ",0,"tanh(b*x+a)/b","A"
3,1,30,30,0.243000," ","int(sech(b*x+a)^3,x)","\frac{\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}+\frac{\arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/2*sech(b*x+a)*tanh(b*x+a)/b+arctan(exp(b*x+a))/b","A"
4,1,23,24,0.246000," ","int(sech(b*x+a)^4,x)","\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(b x +a \right)^{2}}{3}\right) \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(2/3+1/3*sech(b*x+a)^2)*tanh(b*x+a)","A"
5,1,50,49,0.288000," ","int(sech(b*x+a)^5,x)","\frac{\mathrm{sech}\left(b x +a \right)^{3} \tanh \left(b x +a \right)}{4 b}+\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{8 b}+\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{4 b}"," ",0,"1/4*sech(b*x+a)^3*tanh(b*x+a)/b+3/8*sech(b*x+a)*tanh(b*x+a)/b+3/4*arctan(exp(b*x+a))/b","A"
6,1,33,37,0.252000," ","int(sech(b*x+a)^6,x)","\frac{\left(\frac{8}{15}+\frac{\mathrm{sech}\left(b x +a \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(b x +a \right)^{2}}{15}\right) \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(8/15+1/5*sech(b*x+a)^4+4/15*sech(b*x+a)^2)*tanh(b*x+a)","A"
7,1,17,15,0.234000," ","int(sech(7*x)^4,x)","\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(7 x \right)^{2}}{3}\right) \tanh \left(7 x \right)}{7}"," ",0,"1/7*(2/3+1/3*sech(7*x)^2)*tanh(7*x)","A"
8,1,27,31,0.276000," ","int(sech(Pi*x)^6,x)","\frac{\left(\frac{8}{15}+\frac{\mathrm{sech}\left(\pi  x \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(\pi  x \right)^{2}}{15}\right) \tanh \left(\pi  x \right)}{\pi}"," ",0,"1/Pi*(8/15+1/5*sech(Pi*x)^4+4/15*sech(Pi*x)^2)*tanh(Pi*x)","A"
9,1,217,82,0.508000," ","int(sech(b*x+a)^(5/2),x)","\frac{2 \left(2 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)\right) \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}}{3 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right)^{\frac{3}{2}} \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) b}"," ",0,"2/3*(2*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))*sinh(1/2*b*x+1/2*a)^2+(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))+2*cosh(1/2*b*x+1/2*a)*sinh(1/2*b*x+1/2*a)^2)*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(3/2)/sinh(1/2*b*x+1/2*a)/b","B"
10,1,103,82,0.572000," ","int(sech(b*x+a)^(3/2),x)","\frac{2 \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}+4 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{\sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2*((-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)+2*cosh(1/2*b*x+1/2*a)*sinh(1/2*b*x+1/2*a)^2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","A"
11,1,135,62,0.400000," ","int(sech(b*x+a)^(1/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)}{\sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
12,1,135,62,0.411000," ","int(1/sech(b*x+a)^(1/2),x)","-\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)}{\sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"-2*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
13,1,174,82,0.579000," ","int(1/sech(b*x+a)^(3/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \left(4 \left(\cosh^{5}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-6 \left(\cosh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{3 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2/3*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(4*cosh(1/2*b*x+1/2*a)^5-6*cosh(1/2*b*x+1/2*a)^3+(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))+2*cosh(1/2*b*x+1/2*a))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
14,1,188,82,0.524000," ","int(1/sech(b*x+a)^(5/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \left(8 \left(\cosh^{7}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-16 \left(\cosh^{5}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+10 \left(\cosh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-3 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)-2 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{5 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2/5*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(8*cosh(1/2*b*x+1/2*a)^7-16*cosh(1/2*b*x+1/2*a)^5+10*cosh(1/2*b*x+1/2*a)^3-3*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))-2*cosh(1/2*b*x+1/2*a))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
15,0,0,114,0.319000," ","int((b*sech(d*x+c))^(7/2),x)","\int \left(b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{7}{2}}\, dx"," ",0,"int((b*sech(d*x+c))^(7/2),x)","F"
16,0,0,90,0.281000," ","int((b*sech(d*x+c))^(5/2),x)","\int \left(b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((b*sech(d*x+c))^(5/2),x)","F"
17,0,0,90,0.289000," ","int((b*sech(d*x+c))^(3/2),x)","\int \left(b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((b*sech(d*x+c))^(3/2),x)","F"
18,0,0,64,0.380000," ","int((b*sech(d*x+c))^(1/2),x)","\int \sqrt{b \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int((b*sech(d*x+c))^(1/2),x)","F"
19,1,244,64,0.367000," ","int(1/(b*sech(d*x+c))^(1/2),x)","\frac{\sqrt{2}}{d \sqrt{\frac{b \,{\mathrm e}^{d x +c}}{1+{\mathrm e}^{2 d x +2 c}}}}+\frac{\left(-\frac{2 \left(b \,{\mathrm e}^{2 d x +2 c}+b \right)}{b \sqrt{{\mathrm e}^{d x +c} \left(b \,{\mathrm e}^{2 d x +2 c}+b \right)}}+\frac{i \sqrt{-i \left({\mathrm e}^{d x +c}+i\right)}\, \sqrt{2}\, \sqrt{i \left({\mathrm e}^{d x +c}-i\right)}\, \sqrt{i {\mathrm e}^{d x +c}}\, \left(-2 i \EllipticE \left(\sqrt{-i \left({\mathrm e}^{d x +c}+i\right)}, \frac{\sqrt{2}}{2}\right)+i \EllipticF \left(\sqrt{-i \left({\mathrm e}^{d x +c}+i\right)}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{{\mathrm e}^{3 d x +3 c} b +b \,{\mathrm e}^{d x +c}}}\right) \sqrt{2}\, \sqrt{b \,{\mathrm e}^{d x +c} \left(1+{\mathrm e}^{2 d x +2 c}\right)}}{d \sqrt{\frac{b \,{\mathrm e}^{d x +c}}{1+{\mathrm e}^{2 d x +2 c}}}\, \left(1+{\mathrm e}^{2 d x +2 c}\right)}"," ",0,"1/d*2^(1/2)/(b*exp(d*x+c)/(exp(d*x+c)^2+1))^(1/2)+1/d*(-2*(b*exp(d*x+c)^2+b)/b/(exp(d*x+c)*(b*exp(d*x+c)^2+b))^(1/2)+I*(-I*(exp(d*x+c)+I))^(1/2)*2^(1/2)*(I*(exp(d*x+c)-I))^(1/2)*(I*exp(d*x+c))^(1/2)/(exp(d*x+c)^3*b+b*exp(d*x+c))^(1/2)*(-2*I*EllipticE((-I*(exp(d*x+c)+I))^(1/2),1/2*2^(1/2))+I*EllipticF((-I*(exp(d*x+c)+I))^(1/2),1/2*2^(1/2))))*2^(1/2)/(b*exp(d*x+c)/(exp(d*x+c)^2+1))^(1/2)*(b*exp(d*x+c)*(exp(d*x+c)^2+1))^(1/2)/(exp(d*x+c)^2+1)","B"
20,0,0,92,0.269000," ","int(1/(b*sech(d*x+c))^(3/2),x)","\int \frac{1}{\left(b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*sech(d*x+c))^(3/2),x)","F"
21,0,0,92,0.297000," ","int(1/(b*sech(d*x+c))^(5/2),x)","\int \frac{1}{\left(b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*sech(d*x+c))^(5/2),x)","F"
22,0,0,116,0.313000," ","int(1/(b*sech(d*x+c))^(7/2),x)","\int \frac{1}{\left(b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(b*sech(d*x+c))^(7/2),x)","F"
23,0,0,65,0.443000," ","int((b*sech(d*x+c))^n,x)","\int \left(b \,\mathrm{sech}\left(d x +c \right)\right)^{n}\, dx"," ",0,"int((b*sech(d*x+c))^n,x)","F"
24,1,230,76,0.493000," ","int((sech(b*x+a)^2)^(7/2),x)","\frac{\sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(15 \,{\mathrm e}^{10 b x +10 a}+85 \,{\mathrm e}^{8 b x +8 a}+198 \,{\mathrm e}^{6 b x +6 a}-198 \,{\mathrm e}^{4 b x +4 a}-85 \,{\mathrm e}^{2 b x +2 a}-15\right)}{24 \left(1+{\mathrm e}^{2 b x +2 a}\right)^{5} b}+\frac{5 i \ln \left({\mathrm e}^{b x}+i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{16 b}-\frac{5 i \ln \left({\mathrm e}^{b x}-i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{16 b}"," ",0,"1/24/(1+exp(2*b*x+2*a))^5*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(15*exp(10*b*x+10*a)+85*exp(8*b*x+8*a)+198*exp(6*b*x+6*a)-198*exp(4*b*x+4*a)-85*exp(2*b*x+2*a)-15)/b+5/16*I*ln(exp(b*x)+I*exp(-a))/b*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(1+exp(2*b*x+2*a))*exp(-b*x-a)-5/16*I*ln(exp(b*x)-I*exp(-a))/b*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(1+exp(2*b*x+2*a))*exp(-b*x-a)","C"
25,1,208,55,0.423000," ","int((sech(b*x+a)^2)^(5/2),x)","\frac{\sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(3 \,{\mathrm e}^{6 b x +6 a}+11 \,{\mathrm e}^{4 b x +4 a}-11 \,{\mathrm e}^{2 b x +2 a}-3\right)}{4 \left(1+{\mathrm e}^{2 b x +2 a}\right)^{3} b}+\frac{3 i \ln \left({\mathrm e}^{b x}+i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{8 b}-\frac{3 i \ln \left({\mathrm e}^{b x}-i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{8 b}"," ",0,"1/4/(1+exp(2*b*x+2*a))^3*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(3*exp(6*b*x+6*a)+11*exp(4*b*x+4*a)-11*exp(2*b*x+2*a)-3)/b+3/8*I*ln(exp(b*x)+I*exp(-a))/b*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(1+exp(2*b*x+2*a))*exp(-b*x-a)-3/8*I*ln(exp(b*x)-I*exp(-a))/b*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(1+exp(2*b*x+2*a))*exp(-b*x-a)","C"
26,1,183,34,0.434000," ","int((sech(b*x+a)^2)^(3/2),x)","\frac{\sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left({\mathrm e}^{2 b x +2 a}-1\right)}{\left(1+{\mathrm e}^{2 b x +2 a}\right) b}+\frac{i \ln \left({\mathrm e}^{b x}+i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x}-i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{2 b}"," ",0,"1/(1+exp(2*b*x+2*a))*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(exp(2*b*x+2*a)-1)/b+1/2*I*ln(exp(b*x)+I*exp(-a))/b*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(1+exp(2*b*x+2*a))*exp(-b*x-a)-1/2*I*ln(exp(b*x)-I*exp(-a))/b*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*(1+exp(2*b*x+2*a))*exp(-b*x-a)","C"
27,1,130,11,0.433000," ","int((sech(b*x+a)^2)^(1/2),x)","\frac{i \ln \left({\mathrm e}^{b x}+i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{b}-\frac{i \ln \left({\mathrm e}^{b x}-i {\mathrm e}^{-a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}\, \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{-b x -a}}{b}"," ",0,"I*ln(exp(b*x)+I*exp(-a))/b*(1+exp(2*b*x+2*a))*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-b*x-a)-I*ln(exp(b*x)-I*exp(-a))/b*(1+exp(2*b*x+2*a))*(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-b*x-a)","C"
28,1,97,20,0.414000," ","int(1/(sech(b*x+a)^2)^(1/2),x)","\frac{{\mathrm e}^{2 b x +2 a}}{2 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{1}{2 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}"," ",0,"1/2/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(2*b*x+2*a)-1/2/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)","B"
29,1,201,43,0.436000," ","int(1/(sech(b*x+a)^2)^(3/2),x)","\frac{{\mathrm e}^{4 b x +4 a}}{24 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}+\frac{3 \,{\mathrm e}^{2 b x +2 a}}{8 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{3}{8 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{{\mathrm e}^{-2 b x -2 a}}{24 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}"," ",0,"1/24/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(4*b*x+4*a)+3/8/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(2*b*x+2*a)-3/8/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)-1/24/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-2*b*x-2*a)","B"
30,1,305,64,0.414000," ","int(1/(sech(b*x+a)^2)^(5/2),x)","\frac{{\mathrm e}^{6 b x +6 a}}{160 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}+\frac{5 \,{\mathrm e}^{4 b x +4 a}}{96 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}+\frac{5 \,{\mathrm e}^{2 b x +2 a}}{16 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{5}{16 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{5 \,{\mathrm e}^{-2 b x -2 a}}{96 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{{\mathrm e}^{-4 b x -4 a}}{160 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}"," ",0,"1/160/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(6*b*x+6*a)+5/96/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(4*b*x+4*a)+5/16/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(2*b*x+2*a)-5/16/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)-5/96/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-2*b*x-2*a)-1/160/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-4*b*x-4*a)","B"
31,1,409,85,0.418000," ","int(1/(sech(b*x+a)^2)^(7/2),x)","\frac{{\mathrm e}^{8 b x +8 a}}{896 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}+\frac{7 \,{\mathrm e}^{6 b x +6 a}}{640 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}+\frac{7 \,{\mathrm e}^{4 b x +4 a}}{128 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}+\frac{35 \,{\mathrm e}^{2 b x +2 a}}{128 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{35}{128 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{7 \,{\mathrm e}^{-2 b x -2 a}}{128 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{7 \,{\mathrm e}^{-4 b x -4 a}}{640 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}-\frac{{\mathrm e}^{-6 b x -6 a}}{896 b \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{\frac{{\mathrm e}^{2 b x +2 a}}{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}}}"," ",0,"1/896/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(8*b*x+8*a)+7/640/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(6*b*x+6*a)+7/128/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(4*b*x+4*a)+35/128/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(2*b*x+2*a)-35/128/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)-7/128/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-2*b*x-2*a)-7/640/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-4*b*x-4*a)-1/896/b/(1+exp(2*b*x+2*a))/(1/(1+exp(2*b*x+2*a))^2*exp(2*b*x+2*a))^(1/2)*exp(-6*b*x-6*a)","B"
32,1,127,49,0.243000," ","int((a*sech(x)^2)^(5/2),x)","\frac{a^{2} \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(3 \,{\mathrm e}^{6 x}+11 \,{\mathrm e}^{4 x}-11 \,{\mathrm e}^{2 x}-3\right)}{4 \left(1+{\mathrm e}^{2 x}\right)^{3}}+\frac{3 i a^{2} {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left({\mathrm e}^{x}+i\right)}{8}-\frac{3 i a^{2} {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left({\mathrm e}^{x}-i\right)}{8}"," ",0,"1/4*a^2/(1+exp(2*x))^3*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*(3*exp(6*x)+11*exp(4*x)-11*exp(2*x)-3)+3/8*I*a^2*exp(-x)*(1+exp(2*x))*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*ln(exp(x)+I)-3/8*I*a^2*exp(-x)*(1+exp(2*x))*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*ln(exp(x)-I)","C"
33,1,106,34,0.206000," ","int((a*sech(x)^2)^(3/2),x)","\frac{a \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}+\frac{i a \,{\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left({\mathrm e}^{x}+i\right)}{2}-\frac{i a \,{\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left({\mathrm e}^{x}-i\right)}{2}"," ",0,"a/(1+exp(2*x))*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*(exp(2*x)-1)+1/2*I*a*exp(-x)*(1+exp(2*x))*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*ln(exp(x)+I)-1/2*I*a*exp(-x)*(1+exp(2*x))*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*ln(exp(x)-I)","C"
34,1,72,19,0.222000," ","int((a*sech(x)^2)^(1/2),x)","i \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \ln \left({\mathrm e}^{x}+i\right)-i \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \ln \left({\mathrm e}^{x}-i\right)"," ",0,"I*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*exp(-x)*(1+exp(2*x))*ln(exp(x)+I)-I*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*exp(-x)*(1+exp(2*x))*ln(exp(x)-I)","C"
35,1,58,11,0.211000," ","int(1/(a*sech(x)^2)^(1/2),x)","\frac{{\mathrm e}^{2 x}}{2 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{1}{2 \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}"," ",0,"1/2/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(2*x)-1/2/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)","B"
36,1,130,28,0.189000," ","int(1/(a*sech(x)^2)^(3/2),x)","\frac{{\mathrm e}^{4 x}}{24 a \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}+\frac{3 \,{\mathrm e}^{2 x}}{8 a \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}-\frac{3}{8 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right) a}-\frac{{\mathrm e}^{-2 x}}{24 a \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}"," ",0,"1/24/a*exp(4*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)+3/8/a*exp(2*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)-3/8/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))/a-1/24/a*exp(-2*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)","B"
37,1,196,43,0.194000," ","int(1/(a*sech(x)^2)^(5/2),x)","\frac{{\mathrm e}^{6 x}}{160 a^{2} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}+\frac{5 \,{\mathrm e}^{4 x}}{96 a^{2} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}+\frac{5 \,{\mathrm e}^{2 x}}{16 a^{2} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}-\frac{5}{16 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right) a^{2}}-\frac{5 \,{\mathrm e}^{-2 x}}{96 a^{2} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}-\frac{{\mathrm e}^{-4 x}}{160 a^{2} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}"," ",0,"1/160/a^2*exp(6*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)+5/96/a^2*exp(4*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)+5/16/a^2*exp(2*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)-5/16/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))/a^2-5/96/a^2*exp(-2*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)-1/160/a^2*exp(-4*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)","B"
38,1,262,58,0.195000," ","int(1/(a*sech(x)^2)^(7/2),x)","\frac{{\mathrm e}^{8 x}}{896 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}+\frac{7 \,{\mathrm e}^{6 x}}{640 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}+\frac{7 \,{\mathrm e}^{4 x}}{128 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}+\frac{35 \,{\mathrm e}^{2 x}}{128 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}-\frac{35}{128 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right) a^{3}}-\frac{7 \,{\mathrm e}^{-2 x}}{128 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}-\frac{7 \,{\mathrm e}^{-4 x}}{640 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}-\frac{{\mathrm e}^{-6 x}}{896 a^{3} \left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}}"," ",0,"1/896/a^3*exp(8*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)+7/640/a^3*exp(6*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)+7/128/a^3*exp(4*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)+35/128/a^3*exp(2*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)-35/128/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))/a^3-7/128/a^3*exp(-2*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)-7/640/a^3*exp(-4*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)-1/896/a^3*exp(-6*x)/(1+exp(2*x))/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)","B"
39,0,0,114,0.255000," ","int((a*sech(x)^3)^(5/2),x)","\int \left(a \mathrm{sech}\left(x \right)^{3}\right)^{\frac{5}{2}}\, dx"," ",0,"int((a*sech(x)^3)^(5/2),x)","F"
40,0,0,70,0.191000," ","int((a*sech(x)^3)^(3/2),x)","\int \left(a \mathrm{sech}\left(x \right)^{3}\right)^{\frac{3}{2}}\, dx"," ",0,"int((a*sech(x)^3)^(3/2),x)","F"
41,0,0,55,0.215000," ","int((a*sech(x)^3)^(1/2),x)","\int \sqrt{a \mathrm{sech}\left(x \right)^{3}}\, dx"," ",0,"int((a*sech(x)^3)^(1/2),x)","F"
42,0,0,53,0.221000," ","int(1/(a*sech(x)^3)^(1/2),x)","\int \frac{1}{\sqrt{a \mathrm{sech}\left(x \right)^{3}}}\, dx"," ",0,"int(1/(a*sech(x)^3)^(1/2),x)","F"
43,0,0,78,0.188000," ","int(1/(a*sech(x)^3)^(3/2),x)","\int \frac{1}{\left(a \mathrm{sech}\left(x \right)^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a*sech(x)^3)^(3/2),x)","F"
44,0,0,114,0.188000," ","int(1/(a*sech(x)^3)^(5/2),x)","\int \frac{1}{\left(a \mathrm{sech}\left(x \right)^{3}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a*sech(x)^3)^(5/2),x)","F"
45,1,72,141,0.255000," ","int((a*sech(x)^4)^(7/2),x)","-\frac{2048 a^{3} {\mathrm e}^{-2 x} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1716 \,{\mathrm e}^{12 x}+1287 \,{\mathrm e}^{10 x}+715 \,{\mathrm e}^{8 x}+286 \,{\mathrm e}^{6 x}+78 \,{\mathrm e}^{4 x}+13 \,{\mathrm e}^{2 x}+1\right)}{3003 \left(1+{\mathrm e}^{2 x}\right)^{11}}"," ",0,"-2048/3003*a^3*exp(-2*x)/(1+exp(2*x))^11*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*(1716*exp(12*x)+1287*exp(10*x)+715*exp(8*x)+286*exp(6*x)+78*exp(4*x)+13*exp(2*x)+1)","A"
46,1,60,99,0.201000," ","int((a*sech(x)^4)^(5/2),x)","-\frac{256 a^{2} {\mathrm e}^{-2 x} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(126 \,{\mathrm e}^{8 x}+84 \,{\mathrm e}^{6 x}+36 \,{\mathrm e}^{4 x}+9 \,{\mathrm e}^{2 x}+1\right)}{315 \left(1+{\mathrm e}^{2 x}\right)^{7}}"," ",0,"-256/315*a^2*exp(-2*x)/(1+exp(2*x))^7*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*(126*exp(8*x)+84*exp(6*x)+36*exp(4*x)+9*exp(2*x)+1)","A"
47,1,46,51,0.196000," ","int((a*sech(x)^4)^(3/2),x)","-\frac{16 a \,{\mathrm e}^{-2 x} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(10 \,{\mathrm e}^{4 x}+5 \,{\mathrm e}^{2 x}+1\right)}{15 \left(1+{\mathrm e}^{2 x}\right)^{3}}"," ",0,"-16/15*a*exp(-2*x)/(1+exp(2*x))^3*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*(10*exp(4*x)+5*exp(2*x)+1)","A"
48,1,29,13,0.218000," ","int((a*sech(x)^4)^(1/2),x)","-2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)"," ",0,"-2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))","B"
49,1,89,28,0.233000," ","int(1/(a*sech(x)^4)^(1/2),x)","\frac{{\mathrm e}^{2 x} x}{2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{4 x}}{8 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}-\frac{1}{8 \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}"," ",0,"1/2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x+1/8/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(4*x)-1/8/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)","B"
50,1,230,70,0.207000," ","int(1/(a*sech(x)^4)^(3/2),x)","\frac{5 \,{\mathrm e}^{2 x} x}{16 a \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{{\mathrm e}^{8 x}}{384 a \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{3 \,{\mathrm e}^{6 x}}{128 a \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{15 \,{\mathrm e}^{4 x}}{128 a \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}-\frac{15}{128 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2} a}-\frac{3 \,{\mathrm e}^{-2 x}}{128 a \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}-\frac{{\mathrm e}^{-4 x}}{384 a \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}"," ",0,"5/16/a*exp(2*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*x+1/384/a*exp(8*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)+3/128/a*exp(6*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)+15/128/a*exp(4*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)-15/128/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2/a-3/128/a*exp(-2*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)-1/384/a*exp(-4*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)","B"
51,1,362,108,0.213000," ","int(1/(a*sech(x)^4)^(5/2),x)","\frac{63 \,{\mathrm e}^{2 x} x}{256 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{{\mathrm e}^{12 x}}{10240 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{5 \,{\mathrm e}^{10 x}}{4096 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{15 \,{\mathrm e}^{8 x}}{2048 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{15 \,{\mathrm e}^{6 x}}{512 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}+\frac{105 \,{\mathrm e}^{4 x}}{1024 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}-\frac{105}{1024 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2} a^{2}}-\frac{15 \,{\mathrm e}^{-2 x}}{512 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}-\frac{15 \,{\mathrm e}^{-4 x}}{2048 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}-\frac{5 \,{\mathrm e}^{-6 x}}{4096 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}-\frac{{\mathrm e}^{-8 x}}{10240 a^{2} \left(1+{\mathrm e}^{2 x}\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}}"," ",0,"63/256/a^2*exp(2*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*x+1/10240/a^2*exp(12*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)+5/4096/a^2*exp(10*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)+15/2048/a^2*exp(8*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)+15/512/a^2*exp(6*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)+105/1024/a^2*exp(4*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)-105/1024/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2/a^2-15/512/a^2*exp(-2*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)-15/2048/a^2*exp(-4*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)-5/4096/a^2*exp(-6*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)-1/10240/a^2*exp(-8*x)/(1+exp(2*x))^2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)","B"
52,1,130,36,0.140000," ","int(sinh(x)^4/(a+a*sech(x)),x)","\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{5}{6 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{7}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5}{6 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{7}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a}"," ",0,"1/4/a/(tanh(1/2*x)-1)^4+5/6/a/(tanh(1/2*x)-1)^3+7/8/a/(tanh(1/2*x)-1)^2+1/8/a/(tanh(1/2*x)-1)+1/8/a*ln(tanh(1/2*x)-1)-1/4/a/(tanh(1/2*x)+1)^4+5/6/a/(tanh(1/2*x)+1)^3-7/8/a/(tanh(1/2*x)+1)^2+1/8/a/(tanh(1/2*x)+1)-1/8/a*ln(tanh(1/2*x)+1)","B"
53,1,67,19,0.115000," ","int(sinh(x)^3/(a+a*sech(x)),x)","\frac{-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{8}{8 \tanh \left(\frac{x}{2}\right)+8}}{a}"," ",0,"8/a*(-1/24/(tanh(1/2*x)-1)^3-1/8/(tanh(1/2*x)-1)^2-1/8/(tanh(1/2*x)-1)+1/24/(tanh(1/2*x)+1)^3-1/8/(tanh(1/2*x)+1)^2+1/8/(tanh(1/2*x)+1))","B"
54,1,78,23,0.107000," ","int(sinh(x)^2/(a+a*sech(x)),x)","\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"1/2/a/(tanh(1/2*x)-1)^2+3/2/a/(tanh(1/2*x)-1)-1/2/a*ln(tanh(1/2*x)-1)-1/2/a/(tanh(1/2*x)+1)^2+3/2/a/(tanh(1/2*x)+1)+1/2/a*ln(tanh(1/2*x)+1)","B"
55,1,27,17,0.100000," ","int(sinh(x)/(a+a*sech(x)),x)","-\frac{\ln \left(1+\mathrm{sech}\left(x \right)\right)}{a}+\frac{1}{a \,\mathrm{sech}\left(x \right)}+\frac{\ln \left(\mathrm{sech}\left(x \right)\right)}{a}"," ",0,"-1/a*ln(1+sech(x))+1/a/sech(x)+1/a*ln(sech(x))","A"
56,1,23,27,0.129000," ","int(csch(x)/(a+a*sech(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{4 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a}"," ",0,"1/4/a*tanh(1/2*x)^2+1/2/a*ln(tanh(1/2*x))","A"
57,1,23,19,0.148000," ","int(csch(x)^2/(a+a*sech(x)),x)","\frac{-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\frac{1}{\tanh \left(\frac{x}{2}\right)}}{4 a}"," ",0,"1/4/a*(-1/3*tanh(1/2*x)^3-1/tanh(1/2*x))","A"
58,1,45,38,0.150000," ","int(csch(x)^3/(a+a*sech(x)),x)","\frac{\tanh^{4}\left(\frac{x}{2}\right)}{32 a}-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{16 a}-\frac{1}{16 a \tanh \left(\frac{x}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8 a}"," ",0,"1/32/a*tanh(1/2*x)^4-1/16/a*tanh(1/2*x)^2-1/16/a/tanh(1/2*x)^2-1/8/a*ln(tanh(1/2*x))","A"
59,1,39,28,0.154000," ","int(csch(x)^4/(a+a*sech(x)),x)","\frac{-\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{5}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\frac{1}{3 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{2}{\tanh \left(\frac{x}{2}\right)}}{16 a}"," ",0,"1/16/a*(-1/5*tanh(1/2*x)^5+2/3*tanh(1/2*x)^3-1/3/tanh(1/2*x)^3+2/tanh(1/2*x))","A"
60,1,488,116,0.124000," ","int(sinh(x)^4/(a+b*sech(x)),x)","\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a}-\frac{1}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a}+\frac{1}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{4 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 b^{5} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{5} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{4}}{a^{5}}-\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b^{3}}{a^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{3 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b^{3}}{a^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{2}}{2 a^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{4}}{a^{5}}+\frac{b}{3 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{2}}{2 a^{3}}"," ",0,"3/8/a*ln(tanh(1/2*x)+1)-1/8/a/(tanh(1/2*x)-1)^2-3/8/a/(tanh(1/2*x)-1)-3/8/a*ln(tanh(1/2*x)-1)+1/8/a/(tanh(1/2*x)+1)^2-3/8/a/(tanh(1/2*x)+1)-2*b/a/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+4*b^3/a^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2*b^5/a^5/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/4/a/(tanh(1/2*x)-1)^4+1/2/a/(tanh(1/2*x)-1)^3-1/4/a/(tanh(1/2*x)+1)^4+1/2/a/(tanh(1/2*x)+1)^3+1/a^5*ln(tanh(1/2*x)+1)*b^4-1/a^2/(tanh(1/2*x)+1)*b+1/2/a^3/(tanh(1/2*x)+1)*b^2+1/a^4/(tanh(1/2*x)+1)*b^3+1/3/a^2/(tanh(1/2*x)+1)^3*b+1/2/a^3/(tanh(1/2*x)-1)*b^2+1/a^4/(tanh(1/2*x)-1)*b^3-1/a^2/(tanh(1/2*x)-1)*b+1/2/a^2/(tanh(1/2*x)-1)^2*b+1/2/a^3/(tanh(1/2*x)-1)^2*b^2+3/2/a^3*ln(tanh(1/2*x)-1)*b^2-1/a^5*ln(tanh(1/2*x)-1)*b^4+1/3/a^2/(tanh(1/2*x)-1)^3*b-1/2/a^2/(tanh(1/2*x)+1)^2*b-1/2/a^3/(tanh(1/2*x)+1)^2*b^2-3/2/a^3*ln(tanh(1/2*x)+1)*b^2","B"
61,1,361,57,0.119000," ","int(sinh(x)^3/(a+b*sech(x)),x)","-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{2}}+\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{4}}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b^{2}}{a^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b^{2}}{a^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{2}}+\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{4}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a \left(a -b \right)}-\frac{b^{2} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a^{2} \left(a -b \right)}-\frac{b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a^{3} \left(a -b \right)}+\frac{b^{4} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a^{4} \left(a -b \right)}"," ",0,"-b/a^2*ln(tanh(1/2*x)-1)+b^3/a^4*ln(tanh(1/2*x)-1)-1/3/a/(tanh(1/2*x)-1)^3-1/2/a/(tanh(1/2*x)-1)^2-1/2/a^2/(tanh(1/2*x)-1)^2*b+1/2/a/(tanh(1/2*x)-1)-1/2/a^2/(tanh(1/2*x)-1)*b-1/a^3/(tanh(1/2*x)-1)*b^2-1/2/a/(tanh(1/2*x)+1)+1/2/a^2/(tanh(1/2*x)+1)*b+1/a^3/(tanh(1/2*x)+1)*b^2-b/a^2*ln(tanh(1/2*x)+1)+b^3/a^4*ln(tanh(1/2*x)+1)-1/2/a/(tanh(1/2*x)+1)^2-1/2/a^2/(tanh(1/2*x)+1)^2*b+1/3/a/(tanh(1/2*x)+1)^3+b/a/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-b^2/a^2/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-b^3/a^3/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+b^4/a^4/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)","B"
62,1,213,68,0.118000," ","int(sinh(x)^2/(a+b*sech(x)),x)","\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{2}}{a^{3}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{2}}{a^{3}}+\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"1/2/a/(tanh(1/2*x)-1)^2+1/2/a/(tanh(1/2*x)-1)+1/a^2/(tanh(1/2*x)-1)*b+1/2/a*ln(tanh(1/2*x)-1)-1/a^3*ln(tanh(1/2*x)-1)*b^2-1/2/a/(tanh(1/2*x)+1)^2+1/2/a/(tanh(1/2*x)+1)+1/a^2/(tanh(1/2*x)+1)*b-1/2/a*ln(tanh(1/2*x)+1)+1/a^3*ln(tanh(1/2*x)+1)*b^2+2*b/a/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2*b^3/a^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
63,1,31,20,0.102000," ","int(sinh(x)/(a+b*sech(x)),x)","-\frac{b \ln \left(a +b \,\mathrm{sech}\left(x \right)\right)}{a^{2}}+\frac{1}{a \,\mathrm{sech}\left(x \right)}+\frac{b \ln \left(\mathrm{sech}\left(x \right)\right)}{a^{2}}"," ",0,"-1/a^2*b*ln(a+b*sech(x))+1/a/sech(x)+1/a^2*b*ln(sech(x))","A"
64,1,48,49,0.135000," ","int(csch(x)/(a+b*sech(x)),x)","\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{\left(a +b \right) \left(a -b \right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a +b}"," ",0,"b/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+1/(a+b)*ln(tanh(1/2*x))","A"
65,1,77,56,0.156000," ","int(csch(x)^2/(a+b*sech(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 \left(a -b \right)}-\frac{1}{2 \left(a +b \right) \tanh \left(\frac{x}{2}\right)}+\frac{2 a b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/2/(a-b)*tanh(1/2*x)-1/2/(a+b)/tanh(1/2*x)+2/(a+b)/(a-b)*a*b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
66,1,82,79,0.180000," ","int(csch(x)^3/(a+b*sech(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a -8 b}-\frac{a^{2} b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{\left(a +b \right)^{2} \left(a -b \right)^{2}}-\frac{1}{8 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{2}}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 \left(a +b \right)^{2}}"," ",0,"1/8*tanh(1/2*x)^2/(a-b)-a^2*b/(a+b)^2/(a-b)^2*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/8/(a+b)/tanh(1/2*x)^2-1/2*a/(a+b)^2*ln(tanh(1/2*x))","A"
67,1,154,97,0.161000," ","int(csch(x)^4/(a+b*sech(x)),x)","-\frac{a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24 \left(a -b \right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{24 \left(a -b \right)^{2}}+\frac{3 a \tanh \left(\frac{x}{2}\right)}{8 \left(a -b \right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right) b}{8 \left(a -b \right)^{2}}-\frac{2 a^{3} b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{24 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{3}}+\frac{3 a}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)}+\frac{b}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/24/(a-b)^2*a*tanh(1/2*x)^3+1/24/(a-b)^2*tanh(1/2*x)^3*b+3/8/(a-b)^2*a*tanh(1/2*x)-1/8/(a-b)^2*tanh(1/2*x)*b-2/(a-b)^2/(a+b)^2*a^3*b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/24/(a+b)/tanh(1/2*x)^3+3/8/(a+b)^2/tanh(1/2*x)*a+1/8/(a+b)^2/tanh(1/2*x)*b","A"
68,1,139,59,0.142000," ","int(cosh(x)^4/(a+a*sech(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{5}{6 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{15}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{25}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{15 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5}{6 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{15}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{25}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{15 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a}"," ",0,"-1/a*tanh(1/2*x)+1/4/a/(tanh(1/2*x)-1)^4+5/6/a/(tanh(1/2*x)-1)^3+15/8/a/(tanh(1/2*x)-1)^2+25/8/a/(tanh(1/2*x)-1)-15/8/a*ln(tanh(1/2*x)-1)-1/4/a/(tanh(1/2*x)+1)^4+5/6/a/(tanh(1/2*x)+1)^3-15/8/a/(tanh(1/2*x)+1)^2+25/8/a/(tanh(1/2*x)+1)+15/8/a*ln(tanh(1/2*x)+1)","B"
69,1,111,48,0.148000," ","int(cosh(x)^3/(a+a*sech(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{5}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{5}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"1/a*tanh(1/2*x)-1/3/a/(tanh(1/2*x)-1)^3-1/a/(tanh(1/2*x)-1)^2-5/2/a/(tanh(1/2*x)-1)+3/2/a*ln(tanh(1/2*x)-1)-1/3/a/(tanh(1/2*x)+1)^3+1/a/(tanh(1/2*x)+1)^2-5/2/a/(tanh(1/2*x)+1)-3/2/a*ln(tanh(1/2*x)+1)","B"
70,1,87,37,0.138000," ","int(cosh(x)^2/(a+a*sech(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"-1/a*tanh(1/2*x)+1/2/a/(tanh(1/2*x)-1)^2+3/2/a/(tanh(1/2*x)-1)-3/2/a*ln(tanh(1/2*x)-1)-1/2/a/(tanh(1/2*x)+1)^2+3/2/a/(tanh(1/2*x)+1)+3/2/a*ln(tanh(1/2*x)+1)","B"
71,1,59,26,0.133000," ","int(cosh(x)/(a+a*sech(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"1/a*tanh(1/2*x)-1/a/(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)-1)-1/a/(tanh(1/2*x)+1)-1/a*ln(tanh(1/2*x)+1)","B"
72,1,9,11,0.073000," ","int(sech(x)/(a+a*sech(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}"," ",0,"1/a*tanh(1/2*x)","A"
73,1,21,20,0.082000," ","int(sech(x)^2/(a+a*sech(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*tanh(1/2*x)+2/a*arctan(tanh(1/2*x))","A"
74,1,39,26,0.090000," ","int(sech(x)^3/(a+a*sech(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"1/a*tanh(1/2*x)+2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)-2/a*arctan(tanh(1/2*x))","A"
75,1,61,41,0.112000," ","int(sech(x)^4/(a+a*sech(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*tanh(1/2*x)-3/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)+3/a*arctan(tanh(1/2*x))","A"
76,1,58,29,0.227000," ","int(1/(a+a*sech(d*x+c)),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}"," ",0,"-1/d/a*tanh(1/2*d*x+1/2*c)-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)","A"
77,1,60,30,0.227000," ","int(1/(a-a*sech(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}-\frac{1}{d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a/tanh(1/2*d*x+1/2*c)","A"
78,0,0,84,0.512000," ","int((a+a*sech(d*x+c))^(5/2),x)","\int \left(a +a \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+a*sech(d*x+c))^(5/2),x)","F"
79,0,0,58,0.470000," ","int((a+a*sech(d*x+c))^(3/2),x)","\int \left(a +a \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+a*sech(d*x+c))^(3/2),x)","F"
80,0,0,31,0.605000," ","int((a+a*sech(d*x+c))^(1/2),x)","\int \sqrt{a +a \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int((a+a*sech(d*x+c))^(1/2),x)","F"
81,0,0,70,0.473000," ","int(1/(a+a*sech(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a +a \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(1/(a+a*sech(d*x+c))^(1/2),x)","F"
82,0,0,93,0.442000," ","int(1/(a+a*sech(d*x+c))^(3/2),x)","\int \frac{1}{\left(a +a \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+a*sech(d*x+c))^(3/2),x)","F"
83,0,0,32,0.582000," ","int((a-a*sech(d*x+c))^(1/2),x)","\int \sqrt{a -a \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int((a-a*sech(d*x+c))^(1/2),x)","F"
84,0,0,72,0.464000," ","int(1/(a-a*sech(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a -a \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(1/(a-a*sech(d*x+c))^(1/2),x)","F"
85,0,0,15,0.327000," ","int((3+3*sech(x))^(1/2),x)","\int \sqrt{3+3 \,\mathrm{sech}\left(x \right)}\, dx"," ",0,"int((3+3*sech(x))^(1/2),x)","F"
86,0,0,17,0.316000," ","int((3-3*sech(x))^(1/2),x)","\int \sqrt{3-3 \,\mathrm{sech}\left(x \right)}\, dx"," ",0,"int((3-3*sech(x))^(1/2),x)","F"
87,1,121,101,0.430000," ","int((a+b*sech(d*x+c))^4,x)","a^{4} x +\frac{a^{4} c}{d}+\frac{8 a^{3} b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{6 a^{2} b^{2} \tanh \left(d x +c \right)}{d}+\frac{2 a \,b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{d}+\frac{4 a \,b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{2 b^{4} \tanh \left(d x +c \right)}{3 d}+\frac{b^{4} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{2}}{3 d}"," ",0,"a^4*x+1/d*a^4*c+8/d*a^3*b*arctan(exp(d*x+c))+6/d*a^2*b^2*tanh(d*x+c)+2*a*b^3*sech(d*x+c)*tanh(d*x+c)/d+4/d*a*b^3*arctan(exp(d*x+c))+2/3/d*b^4*tanh(d*x+c)+1/3/d*b^4*tanh(d*x+c)*sech(d*x+c)^2","A"
88,1,80,67,0.339000," ","int((a+b*sech(d*x+c))^3,x)","a^{3} x +\frac{a^{3} c}{d}+\frac{6 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{3 a \,b^{2} \tanh \left(d x +c \right)}{d}+\frac{b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"a^3*x+1/d*a^3*c+6/d*a^2*b*arctan(exp(d*x+c))+3*a*b^2*tanh(d*x+c)/d+1/2/d*b^3*sech(d*x+c)*tanh(d*x+c)+1/d*b^3*arctan(exp(d*x+c))","A"
89,1,42,33,0.281000," ","int((a+b*sech(d*x+c))^2,x)","a^{2} x +\frac{b^{2} \tanh \left(d x +c \right)}{d}+\frac{4 a b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{a^{2} c}{d}"," ",0,"a^2*x+b^2*tanh(d*x+c)/d+4/d*a*b*arctan(exp(d*x+c))+1/d*a^2*c","A"
90,1,17,16,0.017000," ","int(a+b*sech(d*x+c),x)","a x +\frac{b \arctan \left(\sinh \left(d x +c \right)\right)}{d}"," ",0,"a*x+b*arctan(sinh(d*x+c))/d","A"
91,1,88,50,0.209000," ","int(1/(a+b*sech(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-2/d*b/a/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)","A"
92,1,221,100,0.199000," ","int(1/(a+b*sech(d*x+c))^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(a^{2}-b^{2}\right) \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{4 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \,a^{2} \left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+2/d/a*b^2/(a^2-b^2)*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)-4/d*b/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))+2/d/a^2*b^3/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)","B"
93,1,660,160,0.270000," ","int(1/(a+b*sech(d*x+c))^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{6 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a -b \right) \left(a^{2}+2 a b +b^{2}\right)}+\frac{b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a -b \right) \left(a^{2}+2 a b +b^{2}\right)}-\frac{2 b^{4} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a -b \right) \left(a^{2}+2 a b +b^{2}\right)}+\frac{6 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{2 b^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{6 a b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{5 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d a \left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 b^{5} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \,a^{3} \left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+6/d*b^2/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a-b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+1/d/a*b^3/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a-b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-2/d/a^2*b^4/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a-b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+6/d*b^2/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-1/d/a*b^3/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-2/d/a^2*b^4/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-6/d*a*b/(a^4-2*a^2*b^2+b^4)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))+5/d/a*b^3/(a^4-2*a^2*b^2+b^4)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))-2/d/a^3*b^5/(a^4-2*a^2*b^2+b^4)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)","B"
94,0,0,97,0.596000," ","int(1/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(1/(a+b*sech(d*x+c))^(1/2),x)","F"
95,1,406,126,0.157000," ","int(cosh(x)^4/(a+b*sech(x)),x)","\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a}+\frac{7}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{5}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a}-\frac{7}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{5}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 b^{5} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{5} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{b^{3}}{a^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{4}}{a^{5}}+\frac{b}{3 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{b^{3}}{a^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{4}}{a^{5}}+\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{3 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{b^{2}}{2 a^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{2}}{2 a^{3}}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{2}}{2 a^{3}}"," ",0,"3/8/a*ln(tanh(1/2*x)+1)+7/8/a/(tanh(1/2*x)-1)^2+5/8/a/(tanh(1/2*x)-1)-3/8/a*ln(tanh(1/2*x)-1)-7/8/a/(tanh(1/2*x)+1)^2+5/8/a/(tanh(1/2*x)+1)-2*b^5/a^5/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/4/a/(tanh(1/2*x)-1)^4+1/2/a/(tanh(1/2*x)-1)^3+1/2/a/(tanh(1/2*x)+1)^3+1/a^4/(tanh(1/2*x)-1)*b^3-1/a^5*ln(tanh(1/2*x)-1)*b^4+1/3/a^2/(tanh(1/2*x)-1)^3*b-1/2/a^3/(tanh(1/2*x)+1)^2*b^2+1/a^4/(tanh(1/2*x)+1)*b^3-1/4/a/(tanh(1/2*x)+1)^4+1/a^5*ln(tanh(1/2*x)+1)*b^4+1/a^2/(tanh(1/2*x)+1)*b+1/2/a^3/(tanh(1/2*x)+1)*b^2+1/3/a^2/(tanh(1/2*x)+1)^3*b+1/2/a^3/(tanh(1/2*x)-1)*b^2+1/a^2/(tanh(1/2*x)-1)*b+1/2/a^2/(tanh(1/2*x)-1)^2*b+1/2/a^3/(tanh(1/2*x)-1)^2*b^2-1/2/a^3*ln(tanh(1/2*x)-1)*b^2-1/2/a^2/(tanh(1/2*x)+1)^2*b+1/2/a^3*ln(tanh(1/2*x)+1)*b^2","B"
96,1,264,94,0.148000," ","int(cosh(x)^3/(a+b*sech(x)),x)","-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b^{2}}{a^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a^{2}}+\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{4}}+\frac{2 b^{4} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{4} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b^{2}}{a^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a^{2}}-\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{4}}"," ",0,"-1/3/a/(tanh(1/2*x)-1)^3-1/2/a/(tanh(1/2*x)-1)^2-1/2/a^2/(tanh(1/2*x)-1)^2*b-1/a/(tanh(1/2*x)-1)-1/2/a^2/(tanh(1/2*x)-1)*b-1/a^3/(tanh(1/2*x)-1)*b^2+1/2*b/a^2*ln(tanh(1/2*x)-1)+b^3/a^4*ln(tanh(1/2*x)-1)+2*b^4/a^4/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/3/a/(tanh(1/2*x)+1)^3+1/2/a/(tanh(1/2*x)+1)^2+1/2/a^2/(tanh(1/2*x)+1)^2*b-1/a/(tanh(1/2*x)+1)-1/2/a^2/(tanh(1/2*x)+1)*b-1/a^3/(tanh(1/2*x)+1)*b^2-1/2*b/a^2*ln(tanh(1/2*x)+1)-b^3/a^4*ln(tanh(1/2*x)+1)","B"
97,1,174,71,0.150000," ","int(cosh(x)^2/(a+b*sech(x)),x)","\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{2}}{a^{3}}-\frac{2 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{2}}{a^{3}}"," ",0,"1/2/a/(tanh(1/2*x)-1)^2+1/2/a/(tanh(1/2*x)-1)+1/a^2/(tanh(1/2*x)-1)*b-1/2/a*ln(tanh(1/2*x)-1)-1/a^3*ln(tanh(1/2*x)-1)*b^2-2*b^3/a^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/2/a/(tanh(1/2*x)+1)^2+1/2/a/(tanh(1/2*x)+1)+1/a^2/(tanh(1/2*x)+1)*b+1/2/a*ln(tanh(1/2*x)+1)+1/a^3*ln(tanh(1/2*x)+1)*b^2","B"
98,1,94,52,0.138000," ","int(cosh(x)/(a+b*sech(x)),x)","-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{2}}+\frac{2 b^{2} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{2}}"," ",0,"-1/a/(tanh(1/2*x)-1)+b/a^2*ln(tanh(1/2*x)-1)+2*b^2/a^2/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/a/(tanh(1/2*x)+1)-b/a^2*ln(tanh(1/2*x)+1)","A"
99,1,36,32,0.078000," ","int(sech(x)/(a+b*sech(x)),x)","\frac{2 \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"2/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
100,1,51,44,0.090000," ","int(sech(x)^2/(a+b*sech(x)),x)","-\frac{2 a \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-2*a/b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/b*arctan(tanh(1/2*x))","A"
101,1,73,54,0.095000," ","int(sech(x)^3/(a+b*sech(x)),x)","\frac{2 a^{2} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 a \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{2}}"," ",0,"2*a^2/b^2/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/b*tanh(1/2*x)/(tanh(1/2*x)^2+1)-2/b^2*a*arctan(tanh(1/2*x))","A"
102,1,146,73,0.095000," ","int(sech(x)^4/(a+b*sech(x)),x)","-\frac{2 a^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{b^{3}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-2/b^3*a^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2/b^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a-1/b/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-2/b^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a+1/b/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)+2/b^3*arctan(tanh(1/2*x))*a^2+1/b*arctan(tanh(1/2*x))","A"
103,1,117,42,0.156000," ","int(tanh(x)^6/(a+a*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{11 \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{137 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{12 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{71 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{12 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5 \tanh \left(\frac{x}{2}\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{4 a}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-11/4/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7-137/12/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5-71/12/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3-5/4/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)-3/4/a*arctan(tanh(1/2*x))","B"
104,1,34,32,0.129000," ","int(tanh(x)^5/(a+a*sech(x)),x)","-\frac{\mathrm{sech}\left(x \right)^{3}}{3 a}+\frac{\mathrm{sech}\left(x \right)^{2}}{2 a}+\frac{\mathrm{sech}\left(x \right)}{a}-\frac{\ln \left(\mathrm{sech}\left(x \right)\right)}{a}"," ",0,"-1/3*sech(x)^3/a+1/2*sech(x)^2/a+sech(x)/a-1/a*ln(sech(x))","A"
105,1,75,27,0.141000," ","int(tanh(x)^4/(a+a*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-3/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)-1/a*arctan(tanh(1/2*x))","B"
106,1,54,14,0.129000," ","int(tanh(x)^3/(a+a*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}+\frac{2}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+2/a/(tanh(1/2*x)^2+1)+1/a*ln(tanh(1/2*x)^2+1)","B"
107,1,35,14,0.102000," ","int(tanh(x)^2/(a+a*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-2/a*arctan(tanh(1/2*x))","B"
108,1,19,9,0.104000," ","int(tanh(x)/(a+a*sech(x)),x)","\frac{\ln \left(1+\mathrm{sech}\left(x \right)\right)}{a}-\frac{\ln \left(\mathrm{sech}\left(x \right)\right)}{a}"," ",0,"1/a*ln(1+sech(x))-1/a*ln(sech(x))","A"
109,1,47,34,0.158000," ","int(coth(x)/(a+a*sech(x)),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{4 a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a}"," ",0,"-1/4/a*tanh(1/2*x)^2-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+1/2/a*ln(tanh(1/2*x))","A"
110,1,56,34,0.159000," ","int(coth(x)^2/(a+a*sech(x)),x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{12 a}-\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{4 a \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/12/a*tanh(1/2*x)^3-1/a*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-1/4/a/tanh(1/2*x)","A"
111,1,69,58,0.161000," ","int(coth(x)^3/(a+a*sech(x)),x)","-\frac{\tanh^{4}\left(\frac{x}{2}\right)}{32 a}-\frac{5 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16 a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{16 a \tanh \left(\frac{x}{2}\right)^{2}}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8 a}"," ",0,"-1/32/a*tanh(1/2*x)^4-5/16/a*tanh(1/2*x)^2-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)-1/16/a/tanh(1/2*x)^2+5/8/a*ln(tanh(1/2*x))","A"
112,1,78,49,0.166000," ","int(coth(x)^4/(a+a*sech(x)),x)","-\frac{\tanh^{5}\left(\frac{x}{2}\right)}{80 a}-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{8 a}-\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{48 a \tanh \left(\frac{x}{2}\right)^{3}}-\frac{3}{8 a \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/80/a*tanh(1/2*x)^5-1/8/a*tanh(1/2*x)^3-1/a*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-1/48/a/tanh(1/2*x)^3-3/8/a/tanh(1/2*x)","A"
113,1,415,113,0.154000," ","int(tanh(x)^7/(a+b*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{a^{5} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{b^{6}}+\frac{3 a^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{b^{4}}-\frac{3 a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{b^{2}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}+\frac{2 a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2 a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{4 a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{4 a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{5}}{b^{6}}-\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{3}}{b^{4}}+\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a}{b^{2}}-\frac{2 a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{4 a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{4}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{32}{5 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{8 a^{2}}{3 b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{8 a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{8}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{4 a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{16}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-a^5/b^6*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+3*a^3/b^4*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-3*a/b^2*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+1/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/a*ln(tanh(1/2*x)+1)+2/b^5/(tanh(1/2*x)^2+1)*a^4+2/b^4/(tanh(1/2*x)^2+1)*a^3-4/b^3/(tanh(1/2*x)^2+1)*a^2-4/b^2/(tanh(1/2*x)^2+1)*a+2/b/(tanh(1/2*x)^2+1)+1/b^6*ln(tanh(1/2*x)^2+1)*a^5-3/b^4*ln(tanh(1/2*x)^2+1)*a^3+3/b^2*ln(tanh(1/2*x)^2+1)*a-2/b^4/(tanh(1/2*x)^2+1)^2*a^3-4/b^3/(tanh(1/2*x)^2+1)^2*a^2+4/b/(tanh(1/2*x)^2+1)^2+32/5/b/(tanh(1/2*x)^2+1)^5+8/3/b^3/(tanh(1/2*x)^2+1)^3*a^2+8/b^2/(tanh(1/2*x)^2+1)^3*a+8/b/(tanh(1/2*x)^2+1)^3-4/b^2/(tanh(1/2*x)^2+1)^4*a-16/b/(tanh(1/2*x)^2+1)^4","B"
114,1,575,165,0.153000," ","int(tanh(x)^6/(a+b*sech(x)),x)","\frac{6 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2 a^{5} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{5} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{44 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{3 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2 \tanh \left(\frac{x}{2}\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \tanh \left(\frac{x}{2}\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{\tanh \left(\frac{x}{2}\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{2 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{6 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{6 a \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{6 a^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{7 \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{4 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{15 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{4 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{15 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{4 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{7 \tanh \left(\frac{x}{2}\right)}{4 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{44 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a}{3 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{b^{3}}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{4}}{b^{5}}-\frac{15 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{4 b}"," ",0,"-1/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^2+6/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^3+2/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^3+1/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^2+2*a^5/b^5/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/a*ln(tanh(1/2*x)+1)-1/a*ln(tanh(1/2*x)-1)-2*b/a/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-44/3/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a+2/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^3-4/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a-1/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^2-4/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a+6/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^3+1/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^2-44/3/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a+6*a/b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-6/b^3*a^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+5/b^3*arctan(tanh(1/2*x))*a^2-2/b^5*arctan(tanh(1/2*x))*a^4-7/4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7-15/4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5+15/4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3+7/4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)-15/4/b*arctan(tanh(1/2*x))","B"
115,1,233,68,0.147000," ","int(tanh(x)^5/(a+b*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{a^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{b^{4}}-\frac{2 a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{b^{2}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{2 a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2 a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{4}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{3}}{b^{4}}+\frac{2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a}{b^{2}}-\frac{8}{3 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+a^3/b^4*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-2*a/b^2*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+1/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/a*ln(tanh(1/2*x)+1)-2/b^3/(tanh(1/2*x)^2+1)*a^2-2/b^2/(tanh(1/2*x)^2+1)*a+2/b/(tanh(1/2*x)^2+1)+2/b^2/(tanh(1/2*x)^2+1)^2*a+4/b/(tanh(1/2*x)^2+1)^2-1/b^4*ln(tanh(1/2*x)^2+1)*a^3+2/b^2*ln(tanh(1/2*x)^2+1)*a-8/3/b/(tanh(1/2*x)^2+1)^3","B"
116,1,248,80,0.141000," ","int(tanh(x)^4/(a+b*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{2 a^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{4 a \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{b^{3}}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-2/b^3*a^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+4*a/b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2*b/a/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/a*ln(tanh(1/2*x)+1)-2/b^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a-1/b/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-2/b^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a+1/b/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)+2/b^3*arctan(tanh(1/2*x))*a^2-3/b*arctan(tanh(1/2*x))","B"
117,1,107,35,0.127000," ","int(tanh(x)^3/(a+b*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{b^{2}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}+\frac{2}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a}{b^{2}}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-a/b^2*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+1/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/a*ln(tanh(1/2*x)+1)+2/b/(tanh(1/2*x)^2+1)+1/b^2*ln(tanh(1/2*x)^2+1)*a","B"
118,1,113,52,0.117000," ","int(tanh(x)^2/(a+b*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{2 a \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+2*a/b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2*b/a/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/a*ln(tanh(1/2*x)+1)-2/b*arctan(tanh(1/2*x))","B"
119,1,21,19,0.100000," ","int(tanh(x)/(a+b*sech(x)),x)","\frac{\ln \left(a +b \,\mathrm{sech}\left(x \right)\right)}{a}-\frac{\ln \left(\mathrm{sech}\left(x \right)\right)}{a}"," ",0,"ln(a+b*sech(x))/a-1/a*ln(sech(x))","A"
120,1,78,62,0.155000," ","int(coth(x)/(a+b*sech(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{b^{2} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a \left(a +b \right) \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a +b}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-b^2/a/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/a*ln(tanh(1/2*x)+1)+1/(a+b)*ln(tanh(1/2*x))","A"
121,1,104,104,0.175000," ","int(coth(x)^2/(a+b*sech(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{2 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a -b \right) a \left(a +b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{2 \left(a +b \right) \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/2/(a-b)*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)+2/(a-b)/a/(a+b)*b^3/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/a*ln(tanh(1/2*x)+1)-1/2/(a+b)/tanh(1/2*x)","A"
122,1,119,105,0.164000," ","int(coth(x)^3/(a+b*sech(x)),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{b^{4} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{8 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a}{\left(a +b \right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) b}{2 \left(a +b \right)^{2}}"," ",0,"-1/8*tanh(1/2*x)^2/(a-b)-1/a*ln(tanh(1/2*x)-1)+1/(a-b)^2*b^4/(a+b)^2/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/a*ln(tanh(1/2*x)+1)-1/8/(a+b)/tanh(1/2*x)^2+1/(a+b)^2*ln(tanh(1/2*x))*a+3/2/(a+b)^2*ln(tanh(1/2*x))*b","A"
123,1,179,193,0.175000," ","int(coth(x)^4/(a+b*sech(x)),x)","-\frac{a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24 \left(a -b \right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{24 \left(a -b \right)^{2}}-\frac{5 a \tanh \left(\frac{x}{2}\right)}{8 \left(a -b \right)^{2}}+\frac{7 \tanh \left(\frac{x}{2}\right) b}{8 \left(a -b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{2 b^{5} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{24 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5 a}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)}-\frac{7 b}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/24/(a-b)^2*a*tanh(1/2*x)^3+1/24/(a-b)^2*tanh(1/2*x)^3*b-5/8/(a-b)^2*a*tanh(1/2*x)+7/8/(a-b)^2*tanh(1/2*x)*b-1/a*ln(tanh(1/2*x)-1)-2/(a-b)^2/(a+b)^2/a*b^5/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+1/a*ln(tanh(1/2*x)+1)-1/24/(a+b)/tanh(1/2*x)^3-5/8/(a+b)^2/tanh(1/2*x)*a-7/8/(a+b)^2/tanh(1/2*x)*b","A"
124,1,215,166,0.174000," ","int(coth(x)^5/(a+b*sech(x)),x)","-\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right) a}{64 \left(a -b \right)^{2}}+\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right) b}{64 \left(a -b \right)^{2}}-\frac{3 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a}{16 \left(a -b \right)^{2}}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b}{4 \left(a -b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{b^{6} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}-\frac{1}{64 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{4}}-\frac{3 a}{16 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{b}{4 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{\left(a +b \right)^{3}}+\frac{21 \ln \left(\tanh \left(\frac{x}{2}\right)\right) a b}{8 \left(a +b \right)^{3}}+\frac{15 \ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{8 \left(a +b \right)^{3}}"," ",0,"-1/64/(a-b)^2*tanh(1/2*x)^4*a+1/64/(a-b)^2*tanh(1/2*x)^4*b-3/16/(a-b)^2*tanh(1/2*x)^2*a+1/4/(a-b)^2*tanh(1/2*x)^2*b-1/a*ln(tanh(1/2*x)-1)-1/(a-b)^3*b^6/(a+b)^3/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-1/a*ln(tanh(1/2*x)+1)-1/64/(a+b)/tanh(1/2*x)^4-3/16/(a+b)^2/tanh(1/2*x)^2*a-1/4/(a+b)^2/tanh(1/2*x)^2*b+1/(a+b)^3*ln(tanh(1/2*x))*a^2+21/8/(a+b)^3*ln(tanh(1/2*x))*a*b+15/8/(a+b)^3*ln(tanh(1/2*x))*b^2","A"
125,0,0,145,0.644000," ","int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^5,x)","\int \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, \left(\tanh^{5}\left(d x +c \right)\right)\, dx"," ",0,"int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^5,x)","F"
126,0,0,84,0.523000," ","int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^3,x)","\int \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, \left(\tanh^{3}\left(d x +c \right)\right)\, dx"," ",0,"int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^3,x)","F"
127,1,43,43,0.108000," ","int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c),x)","-\frac{2 \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}{\sqrt{a}}\right)}{d}"," ",0,"-1/d*(2*(a+b*sech(d*x+c))^(1/2)-2*a^(1/2)*arctanh((a+b*sech(d*x+c))^(1/2)/a^(1/2)))","A"
128,0,0,88,0.565000," ","int(coth(d*x+c)*(a+b*sech(d*x+c))^(1/2),x)","\int \coth \left(d x +c \right) \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int(coth(d*x+c)*(a+b*sech(d*x+c))^(1/2),x)","F"
129,0,0,179,0.609000," ","int(coth(d*x+c)^3*(a+b*sech(d*x+c))^(1/2),x)","\int \left(\coth^{3}\left(d x +c \right)\right) \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int(coth(d*x+c)^3*(a+b*sech(d*x+c))^(1/2),x)","F"
130,0,0,309,0.494000," ","int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^2,x)","\int \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, \left(\tanh^{2}\left(d x +c \right)\right)\, dx"," ",0,"int((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^2,x)","F"
131,0,0,116,0.520000," ","int((a+b*sech(d*x+c))^(1/2),x)","\int \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int((a+b*sech(d*x+c))^(1/2),x)","F"
132,0,0,226,0.549000," ","int(coth(d*x+c)^2*(a+b*sech(d*x+c))^(1/2),x)","\int \left(\coth^{2}\left(d x +c \right)\right) \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}\, dx"," ",0,"int(coth(d*x+c)^2*(a+b*sech(d*x+c))^(1/2),x)","F"
133,0,0,128,0.684000," ","int(tanh(d*x+c)^5/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\tanh^{5}\left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(tanh(d*x+c)^5/(a+b*sech(d*x+c))^(1/2),x)","F"
134,0,0,67,0.653000," ","int(tanh(d*x+c)^3/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\tanh^{3}\left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(tanh(d*x+c)^3/(a+b*sech(d*x+c))^(1/2),x)","F"
135,1,26,25,0.094000," ","int(tanh(d*x+c)/(a+b*sech(d*x+c))^(1/2),x)","\frac{2 \arctanh \left(\frac{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}{\sqrt{a}}\right)}{d \sqrt{a}}"," ",0,"2*arctanh((a+b*sech(d*x+c))^(1/2)/a^(1/2))/d/a^(1/2)","A"
136,0,0,88,0.580000," ","int(coth(d*x+c)/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\coth \left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(coth(d*x+c)/(a+b*sech(d*x+c))^(1/2),x)","F"
137,0,0,220,0.654000," ","int(coth(d*x+c)^3/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\coth^{3}\left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(coth(d*x+c)^3/(a+b*sech(d*x+c))^(1/2),x)","F"
138,0,0,553,0.638000," ","int(tanh(d*x+c)^4/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\tanh^{4}\left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(tanh(d*x+c)^4/(a+b*sech(d*x+c))^(1/2),x)","F"
139,0,0,283,0.491000," ","int(tanh(d*x+c)^2/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\tanh^{2}\left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(tanh(d*x+c)^2/(a+b*sech(d*x+c))^(1/2),x)","F"
140,0,0,97,0.013000," ","int(1/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(1/(a+b*sech(d*x+c))^(1/2),x)","F"
141,0,0,331,0.589000," ","int(coth(d*x+c)^2/(a+b*sech(d*x+c))^(1/2),x)","\int \frac{\coth^{2}\left(d x +c \right)}{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}\, dx"," ",0,"int(coth(d*x+c)^2/(a+b*sech(d*x+c))^(1/2),x)","F"
142,0,0,132,0.660000," ","int(tanh(d*x+c)^5/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\tanh^{5}\left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(d*x+c)^5/(a+b*sech(d*x+c))^(3/2),x)","F"
143,0,0,78,0.560000," ","int(tanh(d*x+c)^3/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\tanh^{3}\left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(d*x+c)^3/(a+b*sech(d*x+c))^(3/2),x)","F"
144,1,46,46,0.093000," ","int(tanh(d*x+c)/(a+b*sech(d*x+c))^(3/2),x)","-\frac{\frac{2}{a \sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}-\frac{2 \arctanh \left(\frac{\sqrt{a +b \,\mathrm{sech}\left(d x +c \right)}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}}{d}"," ",0,"-1/d*(2/a/(a+b*sech(d*x+c))^(1/2)-2/a^(3/2)*arctanh((a+b*sech(d*x+c))^(1/2)/a^(1/2)))","A"
145,0,0,122,0.569000," ","int(coth(d*x+c)/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\coth \left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(coth(d*x+c)/(a+b*sech(d*x+c))^(3/2),x)","F"
146,0,0,268,0.696000," ","int(coth(d*x+c)^3/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\coth^{3}\left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(coth(d*x+c)^3/(a+b*sech(d*x+c))^(3/2),x)","F"
147,0,0,830,0.612000," ","int(tanh(d*x+c)^4/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\tanh^{4}\left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(d*x+c)^4/(a+b*sech(d*x+c))^(3/2),x)","F"
148,0,0,315,0.471000," ","int(tanh(d*x+c)^2/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\tanh^{2}\left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(d*x+c)^2/(a+b*sech(d*x+c))^(3/2),x)","F"
149,0,0,318,0.461000," ","int(1/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{1}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*sech(d*x+c))^(3/2),x)","F"
150,0,0,612,0.565000," ","int(coth(d*x+c)^2/(a+b*sech(d*x+c))^(3/2),x)","\int \frac{\coth^{2}\left(d x +c \right)}{\left(a +b \,\mathrm{sech}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(coth(d*x+c)^2/(a+b*sech(d*x+c))^(3/2),x)","F"
151,1,91,173,0.750000," ","int(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(7/2),x)","-\frac{16 \left(20 \,{\mathrm e}^{6 c \left(b x +a \right)}+15 \,{\mathrm e}^{4 c \left(b x +a \right)}+6 \,{\mathrm e}^{2 c \left(b x +a \right)}+1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{15 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{5}}"," ",0,"-16/15/b/c*(20*exp(6*c*(b*x+a))+15*exp(4*c*(b*x+a))+6*exp(2*c*(b*x+a))+1)*(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)/(1+exp(2*c*(b*x+a)))^5*exp(-c*(b*x+a))","A"
152,1,80,130,0.683000," ","int(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(5/2),x)","-\frac{4 \left(6 \,{\mathrm e}^{4 c \left(b x +a \right)}+4 \,{\mathrm e}^{2 c \left(b x +a \right)}+1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{3 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{3}}"," ",0,"-4/3/b/c*(6*exp(4*c*(b*x+a))+4*exp(2*c*(b*x+a))+1)*(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)/(1+exp(2*c*(b*x+a)))^3*exp(-c*(b*x+a))","A"
153,1,69,52,0.677000," ","int(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(3/2),x)","-\frac{2 \left(2 \,{\mathrm e}^{2 c \left(b x +a \right)}+1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)}"," ",0,"-2/b/c*(2*exp(2*c*(b*x+a))+1)*(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)/(1+exp(2*c*(b*x+a)))*exp(-c*(b*x+a))","A"
154,1,66,41,0.719000," ","int(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(1/2),x)","\frac{\ln \left({\mathrm e}^{2 b c x}+{\mathrm e}^{-2 a c}\right) \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{b c}"," ",0,"ln(exp(2*b*c*x)+exp(-2*a*c))/b/c*(1+exp(2*c*(b*x+a)))*(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(-c*(b*x+a))","A"
155,1,106,65,0.830000," ","int(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(1/2),x)","\frac{x \,{\mathrm e}^{c \left(b x +a \right)}}{2 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}+\frac{{\mathrm e}^{3 c \left(b x +a \right)}}{4 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}"," ",0,"1/2*x/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(c*(b*x+a))+1/4/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(3*c*(b*x+a))","A"
156,1,216,145,0.842000," ","int(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(3/2),x)","\frac{3 x \,{\mathrm e}^{c \left(b x +a \right)}}{8 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}+\frac{{\mathrm e}^{5 c \left(b x +a \right)}}{32 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}+\frac{3 \,{\mathrm e}^{3 c \left(b x +a \right)}}{16 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}-\frac{{\mathrm e}^{-c \left(b x +a \right)}}{16 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}"," ",0,"3/8*x/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(c*(b*x+a))+1/32/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(5*c*(b*x+a))+3/16/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(3*c*(b*x+a))-1/16/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(-c*(b*x+a))","A"
157,1,326,225,0.747000," ","int(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(5/2),x)","\frac{5 x \,{\mathrm e}^{c \left(b x +a \right)}}{16 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}+\frac{{\mathrm e}^{7 c \left(b x +a \right)}}{192 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}+\frac{5 \,{\mathrm e}^{5 c \left(b x +a \right)}}{128 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}+\frac{5 \,{\mathrm e}^{3 c \left(b x +a \right)}}{32 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}-\frac{5 \,{\mathrm e}^{-c \left(b x +a \right)}}{64 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}-\frac{{\mathrm e}^{-3 c \left(b x +a \right)}}{128 b c \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}}"," ",0,"5/16*x/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(c*(b*x+a))+1/192/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(7*c*(b*x+a))+5/128/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(5*c*(b*x+a))+5/32/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(3*c*(b*x+a))-5/64/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(-c*(b*x+a))-1/128/b/c/(1+exp(2*c*(b*x+a)))/(1/(1+exp(2*c*(b*x+a)))^2*exp(2*c*(b*x+a)))^(1/2)*exp(-3*c*(b*x+a))","A"
158,1,130,117,0.240000," ","int(x^5/sech(2*ln(c*x))^(1/2),x)","\frac{x^{2} \left(3 c^{4} x^{4}+2\right) \sqrt{2}}{42 c^{4} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}-\frac{\sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{i c^{2}}, i\right) \sqrt{2}\, x}{21 c^{4} \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/42*x^2*(3*c^4*x^4+2)/c^4*2^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)-1/21/c^4/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)*EllipticF(x*(I*c^2)^(1/2),I)*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
159,1,39,24,0.205000," ","int(x^4/sech(2*ln(c*x))^(1/2),x)","\frac{\sqrt{2}\, x \left(c^{4} x^{4}+1\right)}{12 \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}\, c^{4}}"," ",0,"1/12*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)*(c^4*x^4+1)/c^4","A"
160,1,134,225,0.232000," ","int(x^3/sech(2*ln(c*x))^(1/2),x)","\frac{x^{4} \sqrt{2}}{10 \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{i \sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{i c^{2}}, i\right)-\EllipticE \left(x \sqrt{i c^{2}}, i\right)\right) \sqrt{2}\, x}{5 \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/10*x^4*2^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)+1/5*I/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)/c^2*(EllipticF(x*(I*c^2)^(1/2),I)-EllipticE(x*(I*c^2)^(1/2),I))*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
161,1,97,55,0.263000," ","int(x^2/sech(2*ln(c*x))^(1/2),x)","\frac{x^{3} \sqrt{2}}{8 \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{\ln \left(\frac{c^{4} x^{2}}{\sqrt{c^{4}}}+\sqrt{c^{4} x^{4}+1}\right) \sqrt{2}\, x}{8 \sqrt{c^{4}}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}\, \sqrt{c^{4} x^{4}+1}}"," ",0,"1/8*x^3*2^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)+1/8*ln(c^4*x^2/(c^4)^(1/2)+(c^4*x^4+1)^(1/2))/(c^4)^(1/2)*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)/(c^4*x^4+1)^(1/2)","A"
162,1,114,100,0.209000," ","int(x/sech(2*ln(c*x))^(1/2),x)","\frac{x^{2} \sqrt{2}}{6 \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{\sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{i c^{2}}, i\right) \sqrt{2}\, x}{3 \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/6*x^2*2^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)+1/3/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)*EllipticF(x*(I*c^2)^(1/2),I)*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
163,0,0,49,0.196000," ","int(1/sech(2*ln(c*x))^(1/2),x)","\int \frac{1}{\sqrt{\mathrm{sech}\left(2 \ln \left(c x \right)\right)}}\, dx"," ",0,"int(1/sech(2*ln(c*x))^(1/2),x)","F"
164,1,167,73,0.488000," ","int(sech(2*ln(c*x))^(1/2)/x,x)","\frac{\sqrt{\left(2 \left(\frac{c x}{2}+\frac{1}{2 c x}\right)^{2}-1\right) \left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{2}}\, \sqrt{-\left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{2}}\, \sqrt{-2 \left(\frac{c x}{2}+\frac{1}{2 c x}\right)^{2}+1}\, \EllipticF \left(\frac{c x}{2}+\frac{1}{2 c x}, \sqrt{2}\right)}{\sqrt{2 \left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{4}+\left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{2}}\, \left(\frac{c x}{2}-\frac{1}{2 c x}\right) \sqrt{2 \left(\frac{c x}{2}+\frac{1}{2 c x}\right)^{2}-1}}"," ",0,"((2*(1/2*c*x+1/2/c/x)^2-1)*(1/2*c*x-1/2/c/x)^2)^(1/2)*(-(1/2*c*x-1/2/c/x)^2)^(1/2)*(-2*(1/2*c*x+1/2/c/x)^2+1)^(1/2)/(2*(1/2*c*x-1/2/c/x)^4+(1/2*c*x-1/2/c/x)^2)^(1/2)*EllipticF(1/2*c*x+1/2/c/x,2^(1/2))/(1/2*c*x-1/2/c/x)/(2*(1/2*c*x+1/2/c/x)^2-1)^(1/2)","B"
165,0,0,34,0.202000," ","int(sech(2*ln(c*x))^(1/2)/x^2,x)","\int \frac{\sqrt{\mathrm{sech}\left(2 \ln \left(c x \right)\right)}}{x^{2}}\, dx"," ",0,"int(sech(2*ln(c*x))^(1/2)/x^2,x)","F"
166,1,134,171,0.200000," ","int(sech(2*ln(c*x))^(1/2)/x^3,x)","-\frac{\left(c^{4} x^{4}+1\right) \sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}{x^{2}}+\frac{i c^{2} \sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{i c^{2}}, i\right)-\EllipticE \left(x \sqrt{i c^{2}}, i\right)\right) \sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}{\sqrt{i c^{2}}\, x}"," ",0,"-(c^4*x^4+1)/x^2*2^(1/2)*(c^2*x^2/(c^4*x^4+1))^(1/2)+I*c^2/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)*(EllipticF(x*(I*c^2)^(1/2),I)-EllipticE(x*(I*c^2)^(1/2),I))*2^(1/2)*(c^2*x^2/(c^4*x^4+1))^(1/2)/x","C"
167,1,38,19,0.191000," ","int(sech(2*ln(c*x))^(1/2)/x^4,x)","-\frac{\sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}\, \left(c^{4} x^{4}+1\right)}{2 x^{3}}"," ",0,"-1/2*2^(1/2)*(c^2*x^2/(c^4*x^4+1))^(1/2)/x^3*(c^4*x^4+1)","A"
168,1,117,93,0.200000," ","int(sech(2*ln(c*x))^(1/2)/x^5,x)","-\frac{\left(c^{4} x^{4}+1\right) \sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}{3 x^{4}}-\frac{c^{4} \sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{i c^{2}}, i\right) \sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}{3 \sqrt{i c^{2}}\, x}"," ",0,"-1/3*(c^4*x^4+1)/x^4*2^(1/2)*(c^2*x^2/(c^4*x^4+1))^(1/2)-1/3*c^4/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)*EllipticF(x*(I*c^2)^(1/2),I)*2^(1/2)*(c^2*x^2/(c^4*x^4+1))^(1/2)/x","C"
169,1,121,102,0.245000," ","int(x^8/sech(2*ln(c*x))^(3/2),x)","\frac{x^{3} \left(8 c^{8} x^{8}+14 c^{4} x^{4}+3\right) \sqrt{2}}{384 c^{6} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}-\frac{\ln \left(\frac{c^{4} x^{2}}{\sqrt{c^{4}}}+\sqrt{c^{4} x^{4}+1}\right) \sqrt{2}\, x}{128 c^{6} \sqrt{c^{4}}\, \sqrt{c^{4} x^{4}+1}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/384*x^3*(8*c^8*x^8+14*c^4*x^4+3)/c^6*2^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)-1/128/c^6*ln(c^4*x^2/(c^4)^(1/2)+(c^4*x^4+1)^(1/2))/(c^4)^(1/2)*2^(1/2)*x/(c^4*x^4+1)^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)","A"
170,1,138,146,0.200000," ","int(x^7/sech(2*ln(c*x))^(3/2),x)","\frac{x^{2} \left(7 c^{8} x^{8}+13 c^{4} x^{4}+4\right) \sqrt{2}}{308 c^{6} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}-\frac{\sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{i c^{2}}, i\right) \sqrt{2}\, x}{77 c^{6} \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/308*x^2*(7*c^8*x^8+13*c^4*x^4+4)/c^6*2^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)-1/77/c^6/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)*EllipticF(x*(I*c^2)^(1/2),I)*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
171,1,47,24,0.203000," ","int(x^6/sech(2*ln(c*x))^(3/2),x)","\frac{\sqrt{2}\, x \left(c^{8} x^{8}+2 c^{4} x^{4}+1\right)}{40 c^{6} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/40*2^(1/2)/c^6*x/(c^2*x^2/(c^4*x^4+1))^(1/2)*(c^8*x^8+2*c^4*x^4+1)","A"
172,1,147,269,0.211000," ","int(x^5/sech(2*ln(c*x))^(3/2),x)","\frac{x^{4} \left(5 c^{4} x^{4}+11\right) \sqrt{2}}{180 c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{i \sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{i c^{2}}, i\right)-\EllipticE \left(x \sqrt{i c^{2}}, i\right)\right) \sqrt{2}\, x}{15 \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) c^{4} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/180*x^4*(5*c^4*x^4+11)*2^(1/2)/c^2/(c^2*x^2/(c^4*x^4+1))^(1/2)+1/15*I/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)/c^4*(EllipticF(x*(I*c^2)^(1/2),I)-EllipticE(x*(I*c^2)^(1/2),I))*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
173,1,113,76,0.282000," ","int(x^4/sech(2*ln(c*x))^(3/2),x)","\frac{x^{3} \left(2 c^{4} x^{4}+5\right) \sqrt{2}}{64 c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{3 \ln \left(\frac{c^{4} x^{2}}{\sqrt{c^{4}}}+\sqrt{c^{4} x^{4}+1}\right) \sqrt{2}\, x}{64 \sqrt{c^{4}}\, c^{2} \sqrt{c^{4} x^{4}+1}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/64*x^3*(2*c^4*x^4+5)*2^(1/2)/c^2/(c^2*x^2/(c^4*x^4+1))^(1/2)+3/64*ln(c^4*x^2/(c^4)^(1/2)+(c^4*x^4+1)^(1/2))/(c^4)^(1/2)*2^(1/2)/c^2*x/(c^4*x^4+1)^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)","A"
174,1,129,120,0.215000," ","int(x^3/sech(2*ln(c*x))^(3/2),x)","\frac{x^{2} \left(c^{4} x^{4}+3\right) \sqrt{2}}{28 c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{\sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{i c^{2}}, i\right) \sqrt{2}\, x}{7 \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/28*x^2*(c^4*x^4+3)*2^(1/2)/c^2/(c^2*x^2/(c^4*x^4+1))^(1/2)+1/7/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)*EllipticF(x*(I*c^2)^(1/2),I)*2^(1/2)/c^2*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
175,0,0,74,0.194000," ","int(x^2/sech(2*ln(c*x))^(3/2),x)","\int \frac{x^{2}}{\mathrm{sech}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/sech(2*ln(c*x))^(3/2),x)","F"
176,1,159,236,0.208000," ","int(x/sech(2*ln(c*x))^(3/2),x)","\frac{\left(c^{8} x^{8}-4 c^{4} x^{4}-5\right) \sqrt{2}}{20 \left(c^{4} x^{4}+1\right) c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{3 i \sqrt{-i c^{2} x^{2}+1}\, \sqrt{i c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{i c^{2}}, i\right)-\EllipticE \left(x \sqrt{i c^{2}}, i\right)\right) \sqrt{2}\, x}{5 \sqrt{i c^{2}}\, \left(c^{4} x^{4}+1\right) \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/20*(c^8*x^8-4*c^4*x^4-5)/(c^4*x^4+1)*2^(1/2)/c^2/(c^2*x^2/(c^4*x^4+1))^(1/2)+3/5*I/(I*c^2)^(1/2)*(1-I*c^2*x^2)^(1/2)*(1+I*c^2*x^2)^(1/2)/(c^4*x^4+1)*(EllipticF(x*(I*c^2)^(1/2),I)-EllipticE(x*(I*c^2)^(1/2),I))*2^(1/2)*x/(c^2*x^2/(c^4*x^4+1))^(1/2)","C"
177,1,131,76,0.238000," ","int(1/sech(2*ln(c*x))^(3/2),x)","\frac{\left(c^{8} x^{8}-c^{4} x^{4}-2\right) \sqrt{2}}{16 x \left(c^{4} x^{4}+1\right) c^{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}+\frac{3 c^{2} \ln \left(\frac{c^{4} x^{2}}{\sqrt{c^{4}}}+\sqrt{c^{4} x^{4}+1}\right) \sqrt{2}\, x}{16 \sqrt{c^{4}}\, \sqrt{c^{4} x^{4}+1}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}+1}}}"," ",0,"1/16*(c^8*x^8-c^4*x^4-2)/x/(c^4*x^4+1)*2^(1/2)/c^2/(c^2*x^2/(c^4*x^4+1))^(1/2)+3/16*c^2*ln(c^4*x^2/(c^4)^(1/2)+(c^4*x^4+1)^(1/2))/(c^4)^(1/2)*2^(1/2)*x/(c^4*x^4+1)^(1/2)/(c^2*x^2/(c^4*x^4+1))^(1/2)","A"
178,1,127,91,0.617000," ","int(sech(2*ln(c*x))^(3/2)/x,x)","\frac{\sqrt{-2 \left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{2}-1}\, \sqrt{-\left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{2}}\, \EllipticE \left(\frac{c x}{2}+\frac{1}{2 c x}, \sqrt{2}\right)+2 \left(\frac{c x}{2}+\frac{1}{2 c x}\right) \left(\frac{c x}{2}-\frac{1}{2 c x}\right)^{2}}{\left(\frac{c x}{2}-\frac{1}{2 c x}\right) \sqrt{2 \left(\frac{c x}{2}+\frac{1}{2 c x}\right)^{2}-1}}"," ",0,"((-2*(1/2*c*x-1/2/c/x)^2-1)^(1/2)*(-(1/2*c*x-1/2/c/x)^2)^(1/2)*EllipticE(1/2*c*x+1/2/c/x,2^(1/2))+2*(1/2*c*x+1/2/c/x)*(1/2*c*x-1/2/c/x)^2)/(1/2*c*x-1/2/c/x)/(2*(1/2*c*x+1/2/c/x)^2-1)^(1/2)","A"
179,0,0,21,0.170000," ","int(sech(2*ln(c*x))^(3/2)/x^2,x)","\int \frac{\mathrm{sech}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int(sech(2*ln(c*x))^(3/2)/x^2,x)","F"
180,0,0,105,0.165000," ","int(sech(2*ln(c*x))^(3/2)/x^3,x)","\int \frac{\mathrm{sech}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"int(sech(2*ln(c*x))^(3/2)/x^3,x)","F"
181,0,0,56,0.181000," ","int(sech(2*ln(c*x))^(3/2)/x^4,x)","\int \frac{\mathrm{sech}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"int(sech(2*ln(c*x))^(3/2)/x^4,x)","F"
182,0,0,58,0.163000," ","int(sech(a+b*ln(c*x^n)),x)","\int \mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sech(a+b*ln(c*x^n)),x)","F"
183,0,0,63,1.692000," ","int(sech(a+b*ln(c*x^n))^2,x)","\int \mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right)^{2}\, dx"," ",0,"int(sech(a+b*ln(c*x^n))^2,x)","F"
184,0,0,65,1.999000," ","int(sech(a+b*ln(c*x^n))^3,x)","\int \mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right)^{3}\, dx"," ",0,"int(sech(a+b*ln(c*x^n))^3,x)","F"
185,0,0,63,1.827000," ","int(sech(a+b*ln(c*x^n))^4,x)","\int \mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right)^{4}\, dx"," ",0,"int(sech(a+b*ln(c*x^n))^4,x)","F"
186,1,509,40,1.065000," ","int((-b^2*n^2+1)*sech(a+b*ln(c*x^n))+2*b^2*n^2*sech(a+b*ln(c*x^n))^3,x)","\frac{2 c^{b} \left(x^{n}\right)^{b} x \left(n b \left(x^{n}\right)^{2 b} c^{2 b} {\mathrm e}^{3 a} {\mathrm e}^{-\frac{3 i b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \pi}{2}} {\mathrm e}^{\frac{3 i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right) \pi}{2}} {\mathrm e}^{\frac{3 i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right) \pi}{2}} {\mathrm e}^{-\frac{3 i b \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \pi}{2}}-{\mathrm e}^{a} {\mathrm e}^{-\frac{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \pi}{2}} {\mathrm e}^{\frac{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right) \pi}{2}} {\mathrm e}^{\frac{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right) \pi}{2}} {\mathrm e}^{-\frac{i b \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \pi}{2}} b n +\left(x^{n}\right)^{2 b} c^{2 b} {\mathrm e}^{3 a} {\mathrm e}^{-\frac{3 i b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \pi}{2}} {\mathrm e}^{\frac{3 i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right) \pi}{2}} {\mathrm e}^{\frac{3 i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right) \pi}{2}} {\mathrm e}^{-\frac{3 i b \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \pi}{2}}+{\mathrm e}^{a} {\mathrm e}^{-\frac{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \pi}{2}} {\mathrm e}^{\frac{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right) \pi}{2}} {\mathrm e}^{\frac{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right) \pi}{2}} {\mathrm e}^{-\frac{i b \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \pi}{2}}\right)}{\left(\left(x^{n}\right)^{2 b} c^{2 b} {\mathrm e}^{2 a} {\mathrm e}^{-i b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \pi} {\mathrm e}^{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right) \pi} {\mathrm e}^{i b \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right) \pi} {\mathrm e}^{-i b \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \pi}+1\right)^{2}}"," ",0,"2*c^b*(x^n)^b*x/(((x^n)^b)^2*(c^b)^2*exp(2*a)*exp(-I*b*csgn(I*c*x^n)^3*Pi)*exp(I*b*csgn(I*c*x^n)^2*csgn(I*c)*Pi)*exp(I*b*csgn(I*c*x^n)^2*csgn(I*x^n)*Pi)*exp(-I*b*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n)*Pi)+1)^2*(n*b*((x^n)^b)^2*(c^b)^2*exp(3*a)*exp(-3/2*I*b*csgn(I*c*x^n)^3*Pi)*exp(3/2*I*b*csgn(I*c*x^n)^2*csgn(I*c)*Pi)*exp(3/2*I*b*csgn(I*c*x^n)^2*csgn(I*x^n)*Pi)*exp(-3/2*I*b*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n)*Pi)-exp(a)*exp(-1/2*I*b*csgn(I*c*x^n)^3*Pi)*exp(1/2*I*b*csgn(I*c*x^n)^2*csgn(I*c)*Pi)*exp(1/2*I*b*csgn(I*c*x^n)^2*csgn(I*x^n)*Pi)*exp(-1/2*I*b*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n)*Pi)*b*n+((x^n)^b)^2*(c^b)^2*exp(3*a)*exp(-3/2*I*b*csgn(I*c*x^n)^3*Pi)*exp(3/2*I*b*csgn(I*c*x^n)^2*csgn(I*c)*Pi)*exp(3/2*I*b*csgn(I*c*x^n)^2*csgn(I*x^n)*Pi)*exp(-3/2*I*b*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n)*Pi)+exp(a)*exp(-1/2*I*b*csgn(I*c*x^n)^3*Pi)*exp(1/2*I*b*csgn(I*c*x^n)^2*csgn(I*c)*Pi)*exp(1/2*I*b*csgn(I*c*x^n)^2*csgn(I*x^n)*Pi)*exp(-1/2*I*b*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n)*Pi))","C"
187,0,0,25,0.495000," ","int(sech(a+2*ln(c*x^(1/2)))^3,x)","\int \mathrm{sech}\left(a +2 \ln \left(c \sqrt{x}\right)\right)^{3}\, dx"," ",0,"int(sech(a+2*ln(c*x^(1/2)))^3,x)","F"
188,0,0,25,0.696000," ","int(sech(a+2*ln(c/x^(1/2)))^3,x)","\int \mathrm{sech}\left(a +2 \ln \left(\frac{c}{\sqrt{x}}\right)\right)^{3}\, dx"," ",0,"int(sech(a+2*ln(c/x^(1/2)))^3,x)","F"
189,0,0,89,0.627000," ","int(sech(a+ln(c*x^n)/n/(-2+p))^p,x)","\int \mathrm{sech}\left(a +\frac{\ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)^{p}\, dx"," ",0,"int(sech(a+ln(c*x^n)/n/(-2+p))^p,x)","F"
190,0,0,66,0.615000," ","int(sech(a-ln(c*x^n)/n/(-2+p))^p,x)","\int \mathrm{sech}\left(a -\frac{\ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)^{p}\, dx"," ",0,"int(sech(a-ln(c*x^n)/n/(-2+p))^p,x)","F"
191,1,20,19,0.023000," ","int(sech(a+b*ln(c*x^n))/x,x)","\frac{\arctan \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"arctan(sinh(a+b*ln(c*x^n)))/b/n","A"
192,1,19,18,0.291000," ","int(sech(a+b*ln(c*x^n))^2/x,x)","\frac{\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"tanh(a+b*ln(c*x^n))/b/n","A"
193,1,51,51,0.301000," ","int(sech(a+b*ln(c*x^n))^3/x,x)","\frac{\mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right) \tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\arctan \left({\mathrm e}^{a +b \ln \left(c \,x^{n}\right)}\right)}{b n}"," ",0,"1/2*sech(a+b*ln(c*x^n))*tanh(a+b*ln(c*x^n))/b/n+1/b/n*arctan(exp(a+b*ln(c*x^n)))","A"
194,1,36,40,0.293000," ","int(sech(a+b*ln(c*x^n))^4/x,x)","\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right)^{2}}{3}\right) \tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(2/3+1/3*sech(a+b*ln(c*x^n))^2)*tanh(a+b*ln(c*x^n))","A"
195,1,84,83,0.321000," ","int(sech(a+b*ln(c*x^n))^5/x,x)","\frac{\mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right)^{3} \tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}{4 b n}+\frac{3 \,\mathrm{sech}\left(a +b \ln \left(c \,x^{n}\right)\right) \tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}{8 b n}+\frac{3 \arctan \left({\mathrm e}^{a +b \ln \left(c \,x^{n}\right)}\right)}{4 b n}"," ",0,"1/4*sech(a+b*ln(c*x^n))^3*tanh(a+b*ln(c*x^n))/b/n+3/8*sech(a+b*ln(c*x^n))*tanh(a+b*ln(c*x^n))/b/n+3/4/b/n*arctan(exp(a+b*ln(c*x^n)))","A"
196,1,295,123,0.727000," ","int(sech(a+b*ln(c*x^n))^(5/2)/x,x)","\frac{2 \left(2 \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)\right) \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}}{3 n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right)^{\frac{3}{2}} \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) b}"," ",0,"2/3/n*(2*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*sinh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))*sinh(1/2*a+1/2*b*ln(c*x^n))^2+(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*sinh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))+2*cosh(1/2*a+1/2*b*ln(c*x^n))*sinh(1/2*a+1/2*b*ln(c*x^n))^2)*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(3/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/b","B"
197,1,141,123,0.641000," ","int(sech(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{2 \EllipticE \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right) \sqrt{-2 \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}+4 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{n \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/n*(EllipticE(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))*(-2*sinh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)+2*cosh(1/2*a+1/2*b*ln(c*x^n))*sinh(1/2*a+1/2*b*ln(c*x^n))^2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","A"
198,1,183,90,0.542000," ","int(sech(a+b*ln(c*x^n))^(1/2)/x,x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
199,1,183,90,0.512000," ","int(1/x/sech(a+b*ln(c*x^n))^(1/2),x)","-\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticE(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
200,1,237,123,0.675000," ","int(1/x/sech(a+b*ln(c*x^n))^(3/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(4 \left(\cosh^{5}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-6 \left(\cosh^{3}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{3 n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/3/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(4*cosh(1/2*a+1/2*b*ln(c*x^n))^5-6*cosh(1/2*a+1/2*b*ln(c*x^n))^3+(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))+2*cosh(1/2*a+1/2*b*ln(c*x^n)))/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","A"
201,1,256,123,0.674000," ","int(1/x/sech(a+b*ln(c*x^n))^(5/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(8 \left(\cosh^{7}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-16 \left(\cosh^{5}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+10 \left(\cosh^{3}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-3 \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{5 n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/5/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(8*cosh(1/2*a+1/2*b*ln(c*x^n))^7-16*cosh(1/2*a+1/2*b*ln(c*x^n))^5+10*cosh(1/2*a+1/2*b*ln(c*x^n))^3-3*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticE(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*cosh(1/2*a+1/2*b*ln(c*x^n)))/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"