1,1,15,12,0.017000," ","int(csch(b*x+a),x)","\frac{\ln \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{b}"," ",0,"1/b*ln(tanh(1/2*b*x+1/2*a))","A"
2,1,12,11,0.313000," ","int(csch(b*x+a)^2,x)","-\frac{\coth \left(b x +a \right)}{b}"," ",0,"-coth(b*x+a)/b","A"
3,1,27,30,0.322000," ","int(csch(b*x+a)^3,x)","\frac{-\frac{\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}+\arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/2*csch(b*x+a)*coth(b*x+a)+arctanh(exp(b*x+a)))","A"
4,1,23,24,0.323000," ","int(csch(b*x+a)^4,x)","\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(b x +a \right)^{2}}{3}\right) \coth \left(b x +a \right)}{b}"," ",0,"1/b*(2/3-1/3*csch(b*x+a)^2)*coth(b*x+a)","A"
5,1,41,49,0.313000," ","int(csch(b*x+a)^5,x)","\frac{\left(-\frac{\mathrm{csch}\left(b x +a \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(b x +a \right)}{8}\right) \coth \left(b x +a \right)-\frac{3 \arctanh \left({\mathrm e}^{b x +a}\right)}{4}}{b}"," ",0,"1/b*((-1/4*csch(b*x+a)^3+3/8*csch(b*x+a))*coth(b*x+a)-3/4*arctanh(exp(b*x+a)))","A"
6,1,33,38,0.291000," ","int(csch(b*x+a)^6,x)","\frac{\left(-\frac{8}{15}-\frac{\mathrm{csch}\left(b x +a \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(b x +a \right)^{2}}{15}\right) \coth \left(b x +a \right)}{b}"," ",0,"1/b*(-8/15-1/5*csch(b*x+a)^4+4/15*csch(b*x+a)^2)*coth(b*x+a)","A"
7,1,101,97,0.418000," ","int(csch(b*x+a)^(5/2),x)","-\frac{i \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right) \sinh \left(b x +a \right)+2 \left(\cosh^{2}\left(b x +a \right)\right)}{3 \sinh \left(b x +a \right)^{\frac{3}{2}} \cosh \left(b x +a \right) b}"," ",0,"-1/3/sinh(b*x+a)^(3/2)*(I*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))*sinh(b*x+a)+2*cosh(b*x+a)^2)/cosh(b*x+a)/b","A"
8,1,154,97,0.375000," ","int(csch(b*x+a)^(3/2),x)","\frac{2 \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(b x +a \right)\right)}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(2*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticE((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))-(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))-2*cosh(b*x+a)^2)/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
9,1,87,77,0.239000," ","int(csch(b*x+a)^(1/2),x)","\frac{i \sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(b x +a \right)+i\right)}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"I*(-I*(sinh(b*x+a)+I))^(1/2)*2^(1/2)*(-I*(-sinh(b*x+a)+I))^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((-I*(sinh(b*x+a)+I))^(1/2),1/2*2^(1/2))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
10,1,108,77,0.362000," ","int(1/csch(b*x+a)^(1/2),x)","\frac{\sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(b x +a \right)+i\right)}\, \sqrt{i \sinh \left(b x +a \right)}\, \left(2 \EllipticE \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)\right)}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(-I*(sinh(b*x+a)+I))^(1/2)*2^(1/2)*(-I*(-sinh(b*x+a)+I))^(1/2)*(I*sinh(b*x+a))^(1/2)*(2*EllipticE((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))-EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2)))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
11,1,100,97,0.407000," ","int(1/csch(b*x+a)^(3/2),x)","\frac{-\frac{i \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{3}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{3}}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(-1/3*I*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+2/3*cosh(b*x+a)^2*sinh(b*x+a))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
12,1,164,97,0.389000," ","int(1/csch(b*x+a)^(5/2),x)","\frac{-\frac{6 \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{3 \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{2 \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{2}\left(b x +a \right)\right)}{5}}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(-6/5*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticE((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+3/5*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+2/5*cosh(b*x+a)^4-2/5*cosh(b*x+a)^2)/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
13,0,0,129,0.299000," ","int((b*csch(d*x+c))^(7/2),x)","\int \left(b \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{7}{2}}\, dx"," ",0,"int((b*csch(d*x+c))^(7/2),x)","F"
14,0,0,105,0.291000," ","int((b*csch(d*x+c))^(5/2),x)","\int \left(b \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((b*csch(d*x+c))^(5/2),x)","F"
15,0,0,105,0.245000," ","int((b*csch(d*x+c))^(3/2),x)","\int \left(b \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((b*csch(d*x+c))^(3/2),x)","F"
16,0,0,79,0.351000," ","int((b*csch(d*x+c))^(1/2),x)","\int \sqrt{b \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((b*csch(d*x+c))^(1/2),x)","F"
17,1,227,79,0.329000," ","int(1/(b*csch(d*x+c))^(1/2),x)","\frac{\sqrt{2}}{d \sqrt{\frac{b \,{\mathrm e}^{d x +c}}{{\mathrm e}^{2 d x +2 c}-1}}}-\frac{\left(\frac{2 b \,{\mathrm e}^{2 d x +2 c}-2 b}{b \sqrt{{\mathrm e}^{d x +c} \left(b \,{\mathrm e}^{2 d x +2 c}-b \right)}}-\frac{\sqrt{{\mathrm e}^{d x +c}+1}\, \sqrt{2-2 \,{\mathrm e}^{d x +c}}\, \sqrt{-{\mathrm e}^{d x +c}}\, \left(-2 \EllipticE \left(\sqrt{{\mathrm e}^{d x +c}+1}, \frac{\sqrt{2}}{2}\right)+\EllipticF \left(\sqrt{{\mathrm e}^{d x +c}+1}, \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({\mathrm e}^{2 d x +2 c}-1\right)}}{d \sqrt{\frac{b \,{\mathrm e}^{d x +c}}{{\mathrm e}^{2 d x +2 c}-1}}\, \left({\mathrm e}^{2 d x +2 c}-1\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)-(exp(d*x+c)+1)^(1/2)*(2-2*exp(d*x+c))^(1/2)*(-exp(d*x+c))^(1/2)/(exp(d*x+c)^3*b-b*exp(d*x+c))^(1/2)*(-2*EllipticE((exp(d*x+c)+1)^(1/2),1/2*2^(1/2))+EllipticF((exp(d*x+c)+1)^(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"
18,0,0,107,0.208000," ","int(1/(b*csch(d*x+c))^(3/2),x)","\int \frac{1}{\left(b \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*csch(d*x+c))^(3/2),x)","F"
19,0,0,107,0.211000," ","int(1/(b*csch(d*x+c))^(5/2),x)","\int \frac{1}{\left(b \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*csch(d*x+c))^(5/2),x)","F"
20,0,0,131,0.208000," ","int(1/(b*csch(d*x+c))^(7/2),x)","\int \frac{1}{\left(b \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(b*csch(d*x+c))^(7/2),x)","F"
21,0,0,64,0.447000," ","int((b*csch(d*x+c))^n,x)","\int \left(b \,\mathrm{csch}\left(d x +c \right)\right)^{n}\, dx"," ",0,"int((b*csch(d*x+c))^n,x)","F"
22,1,114,30,0.220000," ","int((-csch(x)^2)^(5/2),x)","\frac{\sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left(3 \,{\mathrm e}^{6 x}-11 \,{\mathrm e}^{4 x}-11 \,{\mathrm e}^{2 x}+3\right)}{4 \left({\mathrm e}^{2 x}-1\right)^{3}}-\frac{3 \,{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}+1\right)}{8}+\frac{3 \,{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}-1\right)}{8}"," ",0,"1/4/(exp(2*x)-1)^3*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*(3*exp(6*x)-11*exp(4*x)-11*exp(2*x)+3)-3/8*exp(-x)*(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)+1)+3/8*exp(-x)*(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)-1)","B"
23,1,99,18,0.189000," ","int((-csch(x)^2)^(3/2),x)","\frac{\sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}-\frac{{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}+1\right)}{2}+\frac{{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}-1\right)}{2}"," ",0,"1/(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*(1+exp(2*x))-1/2*exp(-x)*(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)+1)+1/2*exp(-x)*(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)-1)","B"
24,1,67,3,0.205000," ","int((-csch(x)^2)^(1/2),x)","{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}-1\right)-{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(-x)*(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)-1)-exp(-x)*(exp(2*x)-1)*(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)+1)","B"
25,1,58,11,0.195000," ","int(1/(-csch(x)^2)^(1/2),x)","\frac{{\mathrm e}^{2 x}}{2 \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{1}{2 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"1/2/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*exp(2*x)+1/2/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
26,1,118,25,0.185000," ","int(1/(-csch(x)^2)^(3/2),x)","-\frac{{\mathrm e}^{4 x}}{24 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{3 \,{\mathrm e}^{2 x}}{8 \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{3}{8 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{{\mathrm e}^{-2 x}}{24 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"-1/24*exp(4*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)+3/8/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*exp(2*x)+3/8/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)-1/24*exp(-2*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
27,1,178,37,0.184000," ","int(1/(-csch(x)^2)^(5/2),x)","\frac{{\mathrm e}^{6 x}}{160 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{5 \,{\mathrm e}^{4 x}}{96 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{5 \,{\mathrm e}^{2 x}}{16 \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{5}{16 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{5 \,{\mathrm e}^{-2 x}}{96 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{{\mathrm e}^{-4 x}}{160 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"1/160*exp(6*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)-5/96*exp(4*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)+5/16/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*exp(2*x)+5/16/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)-5/96*exp(-2*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)+1/160*exp(-4*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
28,1,238,49,0.206000," ","int(1/(-csch(x)^2)^(7/2),x)","-\frac{{\mathrm e}^{8 x}}{896 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{7 \,{\mathrm e}^{6 x}}{640 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{7 \,{\mathrm e}^{4 x}}{128 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{35 \,{\mathrm e}^{2 x}}{128 \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{35}{128 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{7 \,{\mathrm e}^{-2 x}}{128 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{7 \,{\mathrm e}^{-4 x}}{640 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{{\mathrm e}^{-6 x}}{896 \left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"-1/896*exp(8*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)+7/640*exp(6*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)-7/128*exp(4*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)+35/128/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*exp(2*x)+35/128/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)-7/128*exp(-2*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)+7/640*exp(-4*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)-1/896*exp(-6*x)/(exp(2*x)-1)/(-exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
29,1,123,49,0.250000," ","int((a*csch(x)^2)^(5/2),x)","\frac{a^{2} \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left(3 \,{\mathrm e}^{6 x}-11 \,{\mathrm e}^{4 x}-11 \,{\mathrm e}^{2 x}+3\right)}{4 \left({\mathrm e}^{2 x}-1\right)^{3}}+\frac{3 a^{2} {\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}-1\right)}{8}-\frac{3 a^{2} {\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}+1\right)}{8}"," ",0,"1/4*a^2/(exp(2*x)-1)^3*(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*(3*exp(6*x)-11*exp(4*x)-11*exp(2*x)+3)+3/8*a^2*exp(-x)*(exp(2*x)-1)*(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)-1)-3/8*a^2*exp(-x)*(exp(2*x)-1)*(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)+1)","B"
30,1,103,34,0.206000," ","int((a*csch(x)^2)^(3/2),x)","-\frac{a \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}-\frac{a \,{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}-1\right)}{2}+\frac{a \,{\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{x}+1\right)}{2}"," ",0,"-a/(exp(2*x)-1)*(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*(1+exp(2*x))-1/2*a*exp(-x)*(exp(2*x)-1)*(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)-1)+1/2*a*exp(-x)*(exp(2*x)-1)*(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*ln(exp(x)+1)","B"
31,1,67,20,0.230000," ","int((a*csch(x)^2)^(1/2),x)","\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, {\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \ln \left({\mathrm e}^{x}-1\right)-\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, {\mathrm e}^{-x} \left({\mathrm e}^{2 x}-1\right) \ln \left({\mathrm e}^{x}+1\right)"," ",0,"(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*exp(-x)*(exp(2*x)-1)*ln(exp(x)-1)-(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)*exp(-x)*(exp(2*x)-1)*ln(exp(x)+1)","B"
32,1,58,11,0.213000," ","int(1/(a*csch(x)^2)^(1/2),x)","\frac{{\mathrm e}^{2 x}}{2 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{1}{2 \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"1/2/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*exp(2*x)+1/2/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
33,1,130,28,0.194000," ","int(1/(a*csch(x)^2)^(3/2),x)","\frac{{\mathrm e}^{4 x}}{24 a \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{3 \,{\mathrm e}^{2 x}}{8 a \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{3}{8 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right) a}+\frac{{\mathrm e}^{-2 x}}{24 a \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"1/24/a*exp(4*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-3/8/a*exp(2*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-3/8/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)/a+1/24/a*exp(-2*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
34,1,196,43,0.202000," ","int(1/(a*csch(x)^2)^(5/2),x)","\frac{{\mathrm e}^{6 x}}{160 a^{2} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{5 \,{\mathrm e}^{4 x}}{96 a^{2} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{5 \,{\mathrm e}^{2 x}}{16 a^{2} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{5}{16 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right) a^{2}}-\frac{5 \,{\mathrm e}^{-2 x}}{96 a^{2} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{{\mathrm e}^{-4 x}}{160 a^{2} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"1/160/a^2*exp(6*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-5/96/a^2*exp(4*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)+5/16/a^2*exp(2*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)+5/16/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)/a^2-5/96/a^2*exp(-2*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)+1/160/a^2*exp(-4*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
35,1,262,58,0.207000," ","int(1/(a*csch(x)^2)^(7/2),x)","\frac{{\mathrm e}^{8 x}}{896 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{7 \,{\mathrm e}^{6 x}}{640 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{7 \,{\mathrm e}^{4 x}}{128 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{35 \,{\mathrm e}^{2 x}}{128 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{35}{128 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right) a^{3}}+\frac{7 \,{\mathrm e}^{-2 x}}{128 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}-\frac{7 \,{\mathrm e}^{-4 x}}{640 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}+\frac{{\mathrm e}^{-6 x}}{896 a^{3} \left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}}"," ",0,"1/896/a^3*exp(8*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-7/640/a^3*exp(6*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)+7/128/a^3*exp(4*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-35/128/a^3*exp(2*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-35/128/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)/a^3+7/128/a^3*exp(-2*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)-7/640/a^3*exp(-4*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)+1/896/a^3*exp(-6*x)/(exp(2*x)-1)/(a*exp(2*x)/(exp(2*x)-1)^2)^(1/2)","B"
36,0,0,133,0.241000," ","int((a*csch(x)^3)^(5/2),x)","\int \left(a \mathrm{csch}\left(x \right)^{3}\right)^{\frac{5}{2}}\, dx"," ",0,"int((a*csch(x)^3)^(5/2),x)","F"
37,0,0,87,0.206000," ","int((a*csch(x)^3)^(3/2),x)","\int \left(a \mathrm{csch}\left(x \right)^{3}\right)^{\frac{3}{2}}\, dx"," ",0,"int((a*csch(x)^3)^(3/2),x)","F"
38,0,0,70,0.225000," ","int((a*csch(x)^3)^(1/2),x)","\int \sqrt{a \mathrm{csch}\left(x \right)^{3}}\, dx"," ",0,"int((a*csch(x)^3)^(1/2),x)","F"
39,0,0,72,0.227000," ","int(1/(a*csch(x)^3)^(1/2),x)","\int \frac{1}{\sqrt{a \mathrm{csch}\left(x \right)^{3}}}\, dx"," ",0,"int(1/(a*csch(x)^3)^(1/2),x)","F"
40,0,0,95,0.202000," ","int(1/(a*csch(x)^3)^(3/2),x)","\int \frac{1}{\left(a \mathrm{csch}\left(x \right)^{3}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a*csch(x)^3)^(3/2),x)","F"
41,0,0,133,0.199000," ","int(1/(a*csch(x)^3)^(5/2),x)","\int \frac{1}{\left(a \mathrm{csch}\left(x \right)^{3}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a*csch(x)^3)^(5/2),x)","F"
42,1,72,142,0.276000," ","int((a*csch(x)^4)^(7/2),x)","-\frac{2048 a^{3} {\mathrm e}^{-2 x} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\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({\mathrm e}^{2 x}-1\right)^{11}}"," ",0,"-2048/3003*a^3*exp(-2*x)/(exp(2*x)-1)^11*(a*exp(4*x)/(exp(2*x)-1)^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"
43,1,60,100,0.221000," ","int((a*csch(x)^4)^(5/2),x)","-\frac{256 a^{2} {\mathrm e}^{-2 x} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\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({\mathrm e}^{2 x}-1\right)^{7}}"," ",0,"-256/315*a^2*exp(-2*x)/(exp(2*x)-1)^7*(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)*(126*exp(8*x)-84*exp(6*x)+36*exp(4*x)-9*exp(2*x)+1)","A"
44,1,46,52,0.204000," ","int((a*csch(x)^4)^(3/2),x)","-\frac{16 a \,{\mathrm e}^{-2 x} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}\, \left(10 \,{\mathrm e}^{4 x}-5 \,{\mathrm e}^{2 x}+1\right)}{15 \left({\mathrm e}^{2 x}-1\right)^{3}}"," ",0,"-16/15*a*exp(-2*x)/(exp(2*x)-1)^3*(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)*(10*exp(4*x)-5*exp(2*x)+1)","A"
45,1,29,14,0.228000," ","int((a*csch(x)^4)^(1/2),x)","-2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}\, {\mathrm e}^{-2 x} \left({\mathrm e}^{2 x}-1\right)"," ",0,"-2*(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)*exp(-2*x)*(exp(2*x)-1)","A"
46,1,89,28,0.249000," ","int(1/(a*csch(x)^4)^(1/2),x)","-\frac{{\mathrm e}^{2 x} x}{2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}\, \left({\mathrm e}^{2 x}-1\right)^{2}}+\frac{{\mathrm e}^{4 x}}{8 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}\, \left({\mathrm e}^{2 x}-1\right)^{2}}-\frac{1}{8 \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}"," ",0,"-1/2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)/(exp(2*x)-1)^2*exp(2*x)*x+1/8/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)/(exp(2*x)-1)^2*exp(4*x)-1/8/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)","B"
47,1,230,70,0.209000," ","int(1/(a*csch(x)^4)^(3/2),x)","-\frac{5 \,{\mathrm e}^{2 x} x}{16 a \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}+\frac{{\mathrm e}^{8 x}}{384 a \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{3 \,{\mathrm e}^{6 x}}{128 a \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}+\frac{15 \,{\mathrm e}^{4 x}}{128 a \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{15}{128 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}\, \left({\mathrm e}^{2 x}-1\right)^{2} a}+\frac{3 \,{\mathrm e}^{-2 x}}{128 a \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{{\mathrm e}^{-4 x}}{384 a \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}"," ",0,"-5/16/a*exp(2*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)*x+1/384/a*exp(8*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-3/128/a*exp(6*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)+15/128/a*exp(4*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-15/128/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)/(exp(2*x)-1)^2/a+3/128/a*exp(-2*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-1/384/a*exp(-4*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)","B"
48,1,362,108,0.219000," ","int(1/(a*csch(x)^4)^(5/2),x)","-\frac{63 \,{\mathrm e}^{2 x} x}{256 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}+\frac{{\mathrm e}^{12 x}}{10240 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{5 \,{\mathrm e}^{10 x}}{4096 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}+\frac{15 \,{\mathrm e}^{8 x}}{2048 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{15 \,{\mathrm e}^{6 x}}{512 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}+\frac{105 \,{\mathrm e}^{4 x}}{1024 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{105}{1024 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}\, \left({\mathrm e}^{2 x}-1\right)^{2} a^{2}}+\frac{15 \,{\mathrm e}^{-2 x}}{512 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{15 \,{\mathrm e}^{-4 x}}{2048 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}+\frac{5 \,{\mathrm e}^{-6 x}}{4096 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}-\frac{{\mathrm e}^{-8 x}}{10240 a^{2} \left({\mathrm e}^{2 x}-1\right)^{2} \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left({\mathrm e}^{2 x}-1\right)^{4}}}}"," ",0,"-63/256/a^2*exp(2*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)*x+1/10240/a^2*exp(12*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-5/4096/a^2*exp(10*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)+15/2048/a^2*exp(8*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-15/512/a^2*exp(6*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)+105/1024/a^2*exp(4*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-105/1024/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)/(exp(2*x)-1)^2/a^2+15/512/a^2*exp(-2*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-15/2048/a^2*exp(-4*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)+5/4096/a^2*exp(-6*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)-1/10240/a^2*exp(-8*x)/(exp(2*x)-1)^2/(a*exp(4*x)/(exp(2*x)-1)^4)^(1/2)","B"
49,1,63,31,0.254000," ","int(1/(a+I*a*csch(b*x+a)),x)","-\frac{2}{b a \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+i\right)}-\frac{\ln \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-1\right)}{b a}+\frac{\ln \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}{b a}"," ",0,"-2/b/a/(tanh(1/2*b*x+1/2*a)+I)-1/b/a*ln(tanh(1/2*b*x+1/2*a)-1)+1/b/a*ln(tanh(1/2*b*x+1/2*a)+1)","A"
50,1,63,31,0.260000," ","int(1/(a-I*a*csch(b*x+a)),x)","-\frac{\ln \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-1\right)}{b a}+\frac{\ln \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}{b a}-\frac{2}{b a \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-i\right)}"," ",0,"-1/b/a*ln(tanh(1/2*b*x+1/2*a)-1)+1/b/a*ln(tanh(1/2*b*x+1/2*a)+1)-2/b/a/(tanh(1/2*b*x+1/2*a)-I)","A"
51,0,0,90,0.949000," ","int((a+I*a*csch(d*x+c))^(5/2),x)","\int \left(a +i a \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+I*a*csch(d*x+c))^(5/2),x)","F"
52,0,0,62,0.698000," ","int((a+I*a*csch(d*x+c))^(3/2),x)","\int \left(a +i a \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+I*a*csch(d*x+c))^(3/2),x)","F"
53,0,0,33,2.389000," ","int((a+I*a*csch(d*x+c))^(1/2),x)","\int \sqrt{a +i a \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((a+I*a*csch(d*x+c))^(1/2),x)","F"
54,0,0,74,0.821000," ","int(1/(a+I*a*csch(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a +i a \,\mathrm{csch}\left(d x +c \right)}}\, dx"," ",0,"int(1/(a+I*a*csch(d*x+c))^(1/2),x)","F"
55,0,0,99,0.630000," ","int(1/(a+I*a*csch(d*x+c))^(3/2),x)","\int \frac{1}{\left(a +i a \,\mathrm{csch}\left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+I*a*csch(d*x+c))^(3/2),x)","F"
56,0,0,33,2.784000," ","int((a-I*a*csch(d*x+c))^(1/2),x)","\int \sqrt{a -i a \,\mathrm{csch}\left(d x +c \right)}\, dx"," ",0,"int((a-I*a*csch(d*x+c))^(1/2),x)","F"
57,0,0,74,0.876000," ","int(1/(a-I*a*csch(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a -i a \,\mathrm{csch}\left(d x +c \right)}}\, dx"," ",0,"int(1/(a-I*a*csch(d*x+c))^(1/2),x)","F"
58,0,0,18,0.829000," ","int((3+3*I*csch(x))^(1/2),x)","\int \sqrt{3+3 i \mathrm{csch}\left(x \right)}\, dx"," ",0,"int((3+3*I*csch(x))^(1/2),x)","F"
59,0,0,18,1.010000," ","int((3-3*I*csch(x))^(1/2),x)","\int \sqrt{3-3 i \mathrm{csch}\left(x \right)}\, dx"," ",0,"int((3-3*I*csch(x))^(1/2),x)","F"
60,0,0,18,0.565000," ","int((-3+3*I*csch(x))^(1/2),x)","\int \sqrt{-3+3 i \mathrm{csch}\left(x \right)}\, dx"," ",0,"int((-3+3*I*csch(x))^(1/2),x)","F"
61,0,0,18,0.484000," ","int((-3-3*I*csch(x))^(1/2),x)","\int \sqrt{-3-3 i \mathrm{csch}\left(x \right)}\, dx"," ",0,"int((-3-3*I*csch(x))^(1/2),x)","F"
62,1,182,46,0.210000," ","int(sinh(x)^4/(I+csch(x)),x)","\frac{2 i}{\tanh \left(\frac{x}{2}\right)-i}-\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{7 i}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{5 i}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{15 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8}+\frac{15 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8}+\frac{7 i}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{5 i}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}"," ",0,"2*I/(tanh(1/2*x)-I)-1/4*I/(tanh(1/2*x)-1)^4+3/2/(tanh(1/2*x)-1)+7/8*I/(tanh(1/2*x)-1)-1/2/(tanh(1/2*x)-1)^2+5/8*I/(tanh(1/2*x)-1)^2-1/3/(tanh(1/2*x)-1)^3-15/8*I*ln(tanh(1/2*x)+1)+15/8*I*ln(tanh(1/2*x)-1)+7/8*I/(tanh(1/2*x)+1)+1/3/(tanh(1/2*x)+1)^3+1/4*I/(tanh(1/2*x)+1)^4-1/2/(tanh(1/2*x)+1)^2-5/8*I/(tanh(1/2*x)+1)^2-3/2/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)+1)^3-1/2*I/(tanh(1/2*x)-1)^3","B"
63,1,137,37,0.206000," ","int(sinh(x)^3/(I+csch(x)),x)","\frac{i}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)-2}-\frac{3 i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{i}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}+\frac{3 i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{2}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"1/3*I/(tanh(1/2*x)-1)^3+1/2/(tanh(1/2*x)-1)^2+1/2*I/(tanh(1/2*x)-1)^2+1/2/(tanh(1/2*x)-1)-3/2*I/(tanh(1/2*x)-1)+3/2*ln(tanh(1/2*x)-1)-1/3*I/(tanh(1/2*x)+1)^3+1/2/(tanh(1/2*x)+1)+3/2*I/(tanh(1/2*x)+1)-1/2/(tanh(1/2*x)+1)^2+1/2*I/(tanh(1/2*x)+1)^2-3/2*ln(tanh(1/2*x)+1)+2/(tanh(1/2*x)-I)","B"
64,1,96,29,0.212000," ","int(sinh(x)^2/(I+csch(x)),x)","-\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 i}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"-3/2*I*ln(tanh(1/2*x)-1)-1/2*I/(tanh(1/2*x)-1)^2-1/(tanh(1/2*x)-1)-1/2*I/(tanh(1/2*x)-1)+1/2*I/(tanh(1/2*x)+1)^2+3/2*I*ln(tanh(1/2*x)+1)+1/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)+1)-2*I/(tanh(1/2*x)-I)","B"
65,1,51,18,0.201000," ","int(sinh(x)/(I+csch(x)),x)","\frac{i}{\tanh \left(\frac{x}{2}\right)-1}-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\frac{i}{\tanh \left(\frac{x}{2}\right)+1}+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"I/(tanh(1/2*x)-1)-ln(tanh(1/2*x)-1)-I/(tanh(1/2*x)+1)+ln(tanh(1/2*x)+1)-2/(tanh(1/2*x)-I)","B"
66,1,12,12,0.116000," ","int(csch(x)/(I+csch(x)),x)","\frac{2}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"2/(tanh(1/2*x)-I)","A"
67,1,19,16,0.098000," ","int(csch(x)^2/(I+csch(x)),x)","-\frac{2 i}{\tanh \left(\frac{x}{2}\right)-i}+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-2*I/(tanh(1/2*x)-I)+ln(tanh(1/2*x))","A"
68,1,35,23,0.110000," ","int(csch(x)^3/(I+csch(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2}-\frac{2}{\tanh \left(\frac{x}{2}\right)-i}-\frac{1}{2 \tanh \left(\frac{x}{2}\right)}-i \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-1/2*tanh(1/2*x)-2/(tanh(1/2*x)-I)-1/2/tanh(1/2*x)-I*ln(tanh(1/2*x))","A"
69,1,53,31,0.128000," ","int(csch(x)^4/(I+csch(x)),x)","\frac{i \tanh \left(\frac{x}{2}\right)}{2}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{2 i}{\tanh \left(\frac{x}{2}\right)-i}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{i}{2 \tanh \left(\frac{x}{2}\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"1/2*I*tanh(1/2*x)+1/8*tanh(1/2*x)^2+2*I/(tanh(1/2*x)-I)-1/8/tanh(1/2*x)^2+1/2*I/tanh(1/2*x)-3/2*ln(tanh(1/2*x))","A"
70,1,92,103,0.493000," ","int((a+b*csch(d*x+c))^4,x)","\frac{a^{4} \left(d x +c \right)-8 a^{3} b \arctanh \left({\mathrm e}^{d x +c}\right)-6 a^{2} b^{2} \coth \left(d x +c \right)+4 a \,b^{3} \left(-\frac{\mathrm{csch}\left(d x +c \right) \coth \left(d x +c \right)}{2}+\arctanh \left({\mathrm e}^{d x +c}\right)\right)+b^{4} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^4*(d*x+c)-8*a^3*b*arctanh(exp(d*x+c))-6*a^2*b^2*coth(d*x+c)+4*a*b^3*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+b^4*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c))","A"
71,1,66,69,0.414000," ","int((a+b*csch(d*x+c))^3,x)","\frac{a^{3} \left(d x +c \right)-6 a^{2} b \arctanh \left({\mathrm e}^{d x +c}\right)-3 a \,b^{2} \coth \left(d x +c \right)+b^{3} \left(-\frac{\mathrm{csch}\left(d x +c \right) \coth \left(d x +c \right)}{2}+\arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(a^3*(d*x+c)-6*a^2*b*arctanh(exp(d*x+c))-3*a*b^2*coth(d*x+c)+b^3*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c))))","A"
72,1,37,34,0.317000," ","int((a+b*csch(d*x+c))^2,x)","\frac{a^{2} \left(d x +c \right)-4 a b \arctanh \left({\mathrm e}^{d x +c}\right)-b^{2} \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(d*x+c)-4*a*b*arctanh(exp(d*x+c))-b^2*coth(d*x+c))","A"
73,1,20,17,0.023000," ","int(a+b*csch(d*x+c),x)","a x +\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d}"," ",0,"a*x+b/d*ln(tanh(1/2*d*x+1/2*c))","A"
74,1,87,49,0.202000," ","int(1/(a+b*csch(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{2 b \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \sqrt{a^{2}+b^{2}}}"," ",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)-2/d/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))","A"
75,1,238,96,0.321000," ","int(1/(a+b*csch(d*x+c))^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}+\frac{2 b \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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right) \left(a^{2}+b^{2}\right)}+\frac{2 b^{2}}{d a \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right) \left(a^{2}+b^{2}\right)}-\frac{4 b \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{2 b^{3} \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)+2/d*b/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)/(a^2+b^2)*tanh(1/2*d*x+1/2*c)+2/d/a*b^2/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)/(a^2+b^2)-4/d*b/(a^2+b^2)^(3/2)*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))-2/d/a^2*b^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))","B"
76,1,822,154,0.342000," ","int(1/(a+b*csch(d*x+c))^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}+\frac{4 a \,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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{b^{4} \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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{10 a^{2} b \left(\tanh^{2}\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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{b^{3} \left(\tanh^{2}\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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}+\frac{2 b^{5} \left(\tanh^{2}\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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{16 a \,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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{7 b^{4} \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) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{5 b^{3}}{d \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{2 b^{5}}{d \,a^{2} \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-b \right)^{2} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{6 a b \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}-\frac{5 b^{3} \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d a \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 b^{5} \arctanh \left(\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \,a^{3} \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)+4/d*a*b^2/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^3+1/d/a*b^4/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^3-10/d*a^2*b/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^2+1/d*b^3/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^2+2/d/a^2*b^5/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^2-16/d*a*b^2/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)-7/d/a*b^4/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)-5/d*b^3/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)-2/d/a^2*b^5/(tanh(1/2*d*x+1/2*c)^2*b-2*a*tanh(1/2*d*x+1/2*c)-b)^2/(a^4+2*a^2*b^2+b^4)-6/d*a*b/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))-5/d/a*b^3/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))-2/d/a^3*b^5/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*d*x+1/2*c)*b-2*a)/(a^2+b^2)^(1/2))","B"
77,1,262,93,0.161000," ","int(sinh(x)^3/(a+b*csch(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}{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)}{2 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{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} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{4} \sqrt{a^{2}+b^{2}}}"," ",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+1/2/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*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*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^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))","B"
78,1,174,70,0.171000," ","int(sinh(x)^2/(a+b*csch(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^{3} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{3} \sqrt{a^{2}+b^{2}}}"," ",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^3/a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))","B"
79,1,92,51,0.165000," ","int(sinh(x)/(a+b*csch(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{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} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{2} \sqrt{a^{2}+b^{2}}}"," ",0,"-1/a/(tanh(1/2*x)-1)+b/a^2*ln(tanh(1/2*x)-1)+1/a/(tanh(1/2*x)+1)-b/a^2*ln(tanh(1/2*x)+1)+2*b^2/a^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))","A"
80,1,35,31,0.084000," ","int(csch(x)/(a+b*csch(x)),x)","\frac{2 \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}}"," ",0,"2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))","A"
81,1,49,44,0.094000," ","int(csch(x)^2/(a+b*csch(x)),x)","-\frac{2 a \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \sqrt{a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-2*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))+1/b*ln(tanh(1/2*x))","A"
82,1,73,53,0.098000," ","int(csch(x)^3/(a+b*csch(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 b}+\frac{2 a^{2} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{2} \sqrt{a^{2}+b^{2}}}-\frac{1}{2 b \tanh \left(\frac{x}{2}\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{2}}"," ",0,"-1/2/b*tanh(1/2*x)+2*a^2/b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-1/2/b/tanh(1/2*x)-a/b^2*ln(tanh(1/2*x))","A"
83,1,108,73,0.105000," ","int(csch(x)^4/(a+b*csch(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 b}+\frac{a \tanh \left(\frac{x}{2}\right)}{2 b^{2}}-\frac{2 a^{3} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{3} \sqrt{a^{2}+b^{2}}}-\frac{1}{8 b \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{b^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 b}+\frac{a}{2 b^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/8/b*tanh(1/2*x)^2+1/2/b^2*a*tanh(1/2*x)-2/b^3*a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-1/8/b/tanh(1/2*x)^2+1/b^3*ln(tanh(1/2*x))*a^2-1/2/b*ln(tanh(1/2*x))+1/2*a/b^2/tanh(1/2*x)","A"
84,1,170,27,0.165000," ","int(cosh(x)^4/(I+csch(x)),x)","-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}"," ",0,"-1/8*I/(tanh(1/2*x)-1)+1/4*I/(tanh(1/2*x)+1)^4-1/3/(tanh(1/2*x)-1)^3-1/8*I*ln(tanh(1/2*x)-1)-1/2/(tanh(1/2*x)-1)^2-3/8*I/(tanh(1/2*x)-1)^2-1/2/(tanh(1/2*x)-1)-1/8*I/(tanh(1/2*x)+1)+3/8*I/(tanh(1/2*x)+1)^2+1/8*I*ln(tanh(1/2*x)+1)+1/3/(tanh(1/2*x)+1)^3-1/2*I/(tanh(1/2*x)+1)^3+1/2/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)-1)^3-1/2/(tanh(1/2*x)+1)^2-1/4*I/(tanh(1/2*x)-1)^4","B"
85,1,15,14,0.107000," ","int(cosh(x)^3/(I+csch(x)),x)","-\frac{i}{3 \mathrm{csch}\left(x \right)^{3}}+\frac{1}{2 \mathrm{csch}\left(x \right)^{2}}"," ",0,"-1/3*I/csch(x)^3+1/2/csch(x)^2","A"
86,1,84,14,0.120000," ","int(cosh(x)^2/(I+csch(x)),x)","-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/2*I*ln(tanh(1/2*x)-1)-1/2*I/(tanh(1/2*x)-1)^2-1/(tanh(1/2*x)-1)-1/2*I/(tanh(1/2*x)-1)+1/2*I/(tanh(1/2*x)+1)^2+1/2*I*ln(tanh(1/2*x)+1)+1/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)+1)","B"
87,1,20,14,0.120000," ","int(cosh(x)/(I+csch(x)),x)","\ln \left(i+\mathrm{csch}\left(x \right)\right)-\ln \left(\mathrm{csch}\left(x \right)\right)-\frac{i}{\mathrm{csch}\left(x \right)}"," ",0,"ln(I+csch(x))-ln(csch(x))-I/csch(x)","A"
88,1,43,20,0.182000," ","int(sech(x)/(I+csch(x)),x)","\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{2}-\frac{i}{\tanh \left(\frac{x}{2}\right)-i}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{2}"," ",0,"1/2*ln(tanh(1/2*x)+I)-I/(tanh(1/2*x)-I)+1/(tanh(1/2*x)-I)^2-1/2*ln(tanh(1/2*x)-I)","B"
89,1,49,14,0.202000," ","int(sech(x)^2/(I+csch(x)),x)","-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{i}{2 \tanh \left(\frac{x}{2}\right)-2 i}-\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"-1/2*I/(tanh(1/2*x)+I)+1/2*I/(tanh(1/2*x)-I)-2/3*I/(tanh(1/2*x)-I)^3-1/(tanh(1/2*x)-I)^2","B"
90,1,89,29,0.205000," ","int(sech(x)^3/(I+csch(x)),x)","\frac{i}{4 \tanh \left(\frac{x}{2}\right)+4 i}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{8}+\frac{i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{8}"," ",0,"1/4*I/(tanh(1/2*x)+I)+1/4/(tanh(1/2*x)+I)^2+1/8*ln(tanh(1/2*x)+I)+I/(tanh(1/2*x)-I)^3-1/2*I/(tanh(1/2*x)-I)-1/2/(tanh(1/2*x)-I)^4+1/(tanh(1/2*x)-I)^2-1/8*ln(tanh(1/2*x)-I)","B"
91,1,93,21,0.203000," ","int(sech(x)^4/(I+csch(x)),x)","\frac{i}{6 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{4 i}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}+\frac{2 i}{5 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{5}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"1/6*I/(tanh(1/2*x)+I)^3-3/8*I/(tanh(1/2*x)+I)-1/4/(tanh(1/2*x)+I)^2-4/3*I/(tanh(1/2*x)-I)^3+3/8*I/(tanh(1/2*x)-I)+2/5*I/(tanh(1/2*x)-I)^5+1/(tanh(1/2*x)-I)^4-1/(tanh(1/2*x)-I)^2","B"
92,1,600,94,0.141000," ","int(cosh(x)^5/(a+b*csch(x)),x)","-\frac{7}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{7}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{5 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}-\frac{1}{5 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{b}{4 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{b^{3}}{2 a^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b^{4}}{a^{5} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b^{5} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{6}}+\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{b^{2}}{3 a^{3} \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}}{2 a^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{b^{5} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{6}}-\frac{b}{4 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{b^{3}}{2 a^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b^{4}}{a^{5} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{b^{2}}{3 a^{3} \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}}{2 a^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{b \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a^{2}}-\frac{2 b^{3} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a^{4}}-\frac{b^{5} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a^{6}}-\frac{11}{12 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{11}{12 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{9 b}{8 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{7 b}{8 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 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{2 b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{4}}-\frac{9 b}{8 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{7 b}{8 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 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{2 b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{4}}"," ",0,"-7/8/a/(tanh(1/2*x)-1)^2-1/a/(tanh(1/2*x)-1)+7/8/a/(tanh(1/2*x)+1)^2-1/a/(tanh(1/2*x)+1)-1/5/a/(tanh(1/2*x)-1)^5-1/5/a/(tanh(1/2*x)+1)^5+1/2/a/(tanh(1/2*x)+1)^4-1/2/a/(tanh(1/2*x)-1)^4-1/4/a^2/(tanh(1/2*x)-1)^4*b+1/2/a^4/(tanh(1/2*x)+1)*b^3-1/a^5/(tanh(1/2*x)+1)*b^4+b^5/a^6*ln(tanh(1/2*x)+1)-1/a^2*b*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-2/a^4*b^3*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/a^6*b^5*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+1/2/a^2/(tanh(1/2*x)+1)^3*b-1/3/a^3/(tanh(1/2*x)+1)^3*b^2+1/2/a^3/(tanh(1/2*x)+1)^2*b^2-1/2/a^4/(tanh(1/2*x)+1)^2*b^3+b^5/a^6*ln(tanh(1/2*x)-1)-1/4/a^2/(tanh(1/2*x)+1)^4*b-1/2/a^4/(tanh(1/2*x)-1)*b^3-1/a^5/(tanh(1/2*x)-1)*b^4-1/2/a^2/(tanh(1/2*x)-1)^3*b-1/3/a^3/(tanh(1/2*x)-1)^3*b^2-1/2/a^3/(tanh(1/2*x)-1)^2*b^2-1/2/a^4/(tanh(1/2*x)-1)^2*b^3-11/12/a/(tanh(1/2*x)-1)^3-11/12/a/(tanh(1/2*x)+1)^3-9/8/a^2/(tanh(1/2*x)-1)^2*b-7/8/a^2/(tanh(1/2*x)-1)*b-2/a^3/(tanh(1/2*x)-1)*b^2+b/a^2*ln(tanh(1/2*x)-1)+2*b^3/a^4*ln(tanh(1/2*x)-1)-9/8/a^2/(tanh(1/2*x)+1)^2*b+7/8/a^2/(tanh(1/2*x)+1)*b-2/a^3/(tanh(1/2*x)+1)*b^2+b/a^2*ln(tanh(1/2*x)+1)+2*b^3/a^4*ln(tanh(1/2*x)+1)","B"
93,1,486,113,0.149000," ","int(cosh(x)^4/(a+b*csch(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 \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}-\frac{4 b^{3} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{3} \sqrt{a^{2}+b^{2}}}-\frac{2 b^{5} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{5} \sqrt{a^{2}+b^{2}}}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\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)^{2}}+\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)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{4}}{a^{5}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{4}}{a^{5}}+\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}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3 b}{2 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}{2 a^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 b}{2 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{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{2}}{2 a^{3}}+\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)+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^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-2/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-4*b^3/a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-1/4/a/(tanh(1/2*x)+1)^4+1/4/a/(tanh(1/2*x)-1)^4-1/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)^2*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)^2*b^2+1/a^5*ln(tanh(1/2*x)+1)*b^4-1/a^5*ln(tanh(1/2*x)-1)*b^4+1/2/a/(tanh(1/2*x)-1)^3+1/2/a/(tanh(1/2*x)+1)^3+1/2/a^2/(tanh(1/2*x)-1)^2*b+3/2/a^2/(tanh(1/2*x)-1)*b+1/2/a^3/(tanh(1/2*x)-1)*b^2+1/2/a^2/(tanh(1/2*x)+1)^2*b-3/2/a^2/(tanh(1/2*x)+1)*b+1/2/a^3/(tanh(1/2*x)+1)*b^2-3/2/a^3*ln(tanh(1/2*x)-1)*b^2+3/2/a^3*ln(tanh(1/2*x)+1)*b^2","B"
94,1,274,53,0.144000," ","int(cosh(x)^3/(a+b*csch(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)}{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}{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{b \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a^{2}}-\frac{b^{3} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \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+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/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/a^2*b*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/a^4*b^3*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)","B"
95,1,172,67,0.136000," ","int(cosh(x)^2/(a+b*csch(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 \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{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^2-1/2/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^2+b^2)^(1/2)/a^3*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))","B"
96,1,31,20,0.124000," ","int(cosh(x)/(a+b*csch(x)),x)","-\frac{b \ln \left(a +b \,\mathrm{csch}\left(x \right)\right)}{a^{2}}+\frac{1}{a \,\mathrm{csch}\left(x \right)}+\frac{b \ln \left(\mathrm{csch}\left(x \right)\right)}{a^{2}}"," ",0,"-1/a^2*b*ln(a+b*csch(x))+1/a/csch(x)+1/a^2*b*ln(csch(x))","A"
97,1,84,56,0.149000," ","int(sech(x)/(a+b*csch(x)),x)","-\frac{2 b \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{2 a^{2}+2 b^{2}}+\frac{2 b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{2 a^{2}+2 b^{2}}+\frac{4 a \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a^{2}+2 b^{2}}"," ",0,"-2*b/(2*a^2+2*b^2)*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+2/(2*a^2+2*b^2)*b*ln(tanh(1/2*x)^2+1)+4/(2*a^2+2*b^2)*a*arctan(tanh(1/2*x))","A"
98,1,81,54,0.171000," ","int(sech(x)^2/(a+b*csch(x)),x)","-\frac{4 a b \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(2 a^{2}+2 b^{2}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 \left(b -a \tanh \left(\frac{x}{2}\right)\right)}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"-4*a*b/(2*a^2+2*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-2/(a^2+b^2)*(b-a*tanh(1/2*x))/(tanh(1/2*x)^2+1)","A"
99,1,275,83,0.194000," ","int(sech(x)^3/(a+b*csch(x)),x)","-\frac{a^{2} b \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{\left(a^{2}+b^{2}\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a \,b^{2}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2} b}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{3}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) a^{3}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) a \,b^{2}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3}}{\left(a^{2}+b^{2}\right)^{2}}-\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) a \,b^{2}}{\left(a^{2}+b^{2}\right)^{2}}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2} b}{\left(a^{2}+b^{2}\right)^{2}}"," ",0,"-a^2*b/(a^2+b^2)^2*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a^3-1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a*b^2+2/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a^2*b+2/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*b^3+1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a^3+1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a*b^2+1/(a^2+b^2)^2*arctan(tanh(1/2*x))*a^3-1/(a^2+b^2)^2*arctan(tanh(1/2*x))*a*b^2+1/(a^2+b^2)^2*ln(tanh(1/2*x)^2+1)*a^2*b","B"
100,1,170,94,0.180000," ","int(sech(x)^4/(a+b*csch(x)),x)","-\frac{4 a^{3} b \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(2 a^{4}+4 a^{2} b^{2}+2 b^{4}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 \left(-a^{3} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)+\left(2 a^{2} b +b^{3}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+\left(-\frac{2}{3} a^{3}+\frac{4}{3} a \,b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+2 a^{2} b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-a^{3} \tanh \left(\frac{x}{2}\right)+\frac{4 a^{2} b}{3}+\frac{b^{3}}{3}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-4*a^3*b/(2*a^4+4*a^2*b^2+2*b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-2/(a^4+2*a^2*b^2+b^4)*(-a^3*tanh(1/2*x)^5+(2*a^2*b+b^3)*tanh(1/2*x)^4+(-2/3*a^3+4/3*a*b^2)*tanh(1/2*x)^3+2*a^2*b*tanh(1/2*x)^2-a^3*tanh(1/2*x)+4/3*a^2*b+1/3*b^3)/(tanh(1/2*x)^2+1)^3","A"
101,1,1168,135,0.195000," ","int(sech(x)^5/(a+b*csch(x)),x)","\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{3 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) b^{5}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{5}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \tanh \left(\frac{x}{2}\right) a^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{4} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{a^{4} b \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\tanh \left(\frac{x}{2}\right) a \,b^{4}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{4} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{7 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{3 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 \tanh \left(\frac{x}{2}\right) a^{3} b^{2}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{4} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{\left(\tanh^{7}\left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{4} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{7 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{6 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}"," ",0,"4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^4*b+4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a^2*b^3+3/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a^5-5/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^5+2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*b^5+3/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^5-3/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^5+2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*b^5+5/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^5+1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(tanh(1/2*x)^2+1)*a^4*b-a^4*b/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-3/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a^3*b^2-1/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a*b^4-3/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^3*b^2-1/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a*b^4+4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^4*b+7/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a*b^4+6/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^2*b^3+6/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^2*b^3+3/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^3*b^2+1/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a*b^4+5/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^3*b^2+4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a^4*b-5/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^3*b^2-7/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a*b^4","B"
102,1,155,81,0.251000," ","int(tanh(x)^5/(I+csch(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{11 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{16}+\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{21 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{16}+\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{i}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{6}}-\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{5}}+\frac{11}{12 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{1}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)-11/16*I*ln(tanh(1/2*x)+I)+1/8*I/(tanh(1/2*x)+I)^4+1/4*I/(tanh(1/2*x)+I)^2-1/4/(tanh(1/2*x)+I)^3-3/8/(tanh(1/2*x)+I)-21/16*I*ln(tanh(1/2*x)-I)+3/8*I/(tanh(1/2*x)-I)^2+1/3*I/(tanh(1/2*x)-I)^6-3/8*I/(tanh(1/2*x)-I)^4+1/(tanh(1/2*x)-I)^5+11/12/(tanh(1/2*x)-I)^3+1/(tanh(1/2*x)-I)","A"
103,1,99,42,0.253000," ","int(tanh(x)^4/(I+csch(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{5 i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{i}{6 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{11 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}+\frac{2 i}{5 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{5}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+5/8*I/(tanh(1/2*x)+I)+1/6*I/(tanh(1/2*x)+I)^3-1/4/(tanh(1/2*x)+I)^2+11/8*I/(tanh(1/2*x)-I)+2/5*I/(tanh(1/2*x)-I)^5+1/(tanh(1/2*x)-I)^4+1/(tanh(1/2*x)-I)^2","B"
104,1,109,57,0.250000," ","int(tanh(x)^3/(I+csch(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{5 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{8}+\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{11 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{8}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{1}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)-5/8*I*ln(tanh(1/2*x)+I)+1/4*I/(tanh(1/2*x)+I)^2-1/4/(tanh(1/2*x)+I)-11/8*I*ln(tanh(1/2*x)-I)+1/2*I/(tanh(1/2*x)-I)^4+1/2*I/(tanh(1/2*x)-I)^2+1/(tanh(1/2*x)-I)^3+1/(tanh(1/2*x)-I)","A"
105,1,67,29,0.211000," ","int(tanh(x)^2/(I+csch(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{i}{2 \tanh \left(\frac{x}{2}\right)+2 i}+\frac{3 i}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)}+\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+1/2*I/(tanh(1/2*x)+I)+3/2*I/(tanh(1/2*x)-I)+2/3*I/(tanh(1/2*x)-I)^3+1/(tanh(1/2*x)-I)^2","B"
106,1,65,33,0.209000," ","int(tanh(x)/(I+csch(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{2}-\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{2}+\frac{i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{1}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)-1/2*I*ln(tanh(1/2*x)+I)-3/2*I*ln(tanh(1/2*x)-I)+I/(tanh(1/2*x)-I)^2+1/(tanh(1/2*x)-I)","A"
107,1,17,11,0.118000," ","int(coth(x)/(I+csch(x)),x)","-i \ln \left(i+\mathrm{csch}\left(x \right)\right)+i \ln \left(\mathrm{csch}\left(x \right)\right)"," ",0,"-I*ln(I+csch(x))+I*ln(csch(x))","A"
108,1,27,10,0.116000," ","int(coth(x)^2/(I+csch(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+ln(tanh(1/2*x))","B"
109,1,12,11,0.092000," ","int(coth(x)^3/(I+csch(x)),x)","-\mathrm{csch}\left(x \right)+i \ln \left(\mathrm{csch}\left(x \right)\right)"," ",0,"-csch(x)+I*ln(csch(x))","A"
110,1,61,21,0.182000," ","int(coth(x)^4/(I+csch(x)),x)","\frac{i \tanh \left(\frac{x}{2}\right)}{2}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{i}{2 \tanh \left(\frac{x}{2}\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"1/2*I*tanh(1/2*x)+1/8*tanh(1/2*x)^2+I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)-1/8/tanh(1/2*x)^2+1/2*I/tanh(1/2*x)+1/2*ln(tanh(1/2*x))","B"
111,1,78,24,0.233000," ","int(coth(x)^5/(I+csch(x)),x)","\frac{3 \tanh \left(\frac{x}{2}\right)}{8}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{i \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}-i \ln \left(\tanh \left(\frac{x}{2}\right)\right)+\frac{i}{8 \tanh \left(\frac{x}{2}\right)^{2}}-\frac{3}{8 \tanh \left(\frac{x}{2}\right)}"," ",0,"3/8*tanh(1/2*x)+1/24*tanh(1/2*x)^3+1/8*I*tanh(1/2*x)^2+I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)-1/24/tanh(1/2*x)^3-I*ln(tanh(1/2*x))+1/8*I/tanh(1/2*x)^2-3/8/tanh(1/2*x)","B"
112,1,95,34,0.247000," ","int(coth(x)^6/(I+csch(x)),x)","\frac{5 i \tanh \left(\frac{x}{2}\right)}{8}+\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64}+\frac{i \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{1}{64 \tanh \left(\frac{x}{2}\right)^{4}}+\frac{5 i}{8 \tanh \left(\frac{x}{2}\right)}+\frac{i}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8}"," ",0,"5/8*I*tanh(1/2*x)+1/64*tanh(1/2*x)^4+1/24*I*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2+I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)-1/64/tanh(1/2*x)^4+5/8*I/tanh(1/2*x)+1/24*I/tanh(1/2*x)^3-1/8/tanh(1/2*x)^2+3/8*ln(tanh(1/2*x))","B"
113,1,1323,184,0.227000," ","int(tanh(x)^5/(a+b*csch(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{4 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a \,b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{20 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a \,b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{13 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{b^{6} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) a}-\frac{15 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{5}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{7 \tanh \left(\frac{x}{2}\right) b^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{3} b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a \,b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{7 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) b^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{2 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{5}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{8 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{5}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{15 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{6 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{11 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{4} b}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 \tanh \left(\frac{x}{2}\right) a^{4} b}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \tanh \left(\frac{x}{2}\right) a^{2} b^{3}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{3 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{4} b}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{12 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a \,b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{13 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{15 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{5}}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{4} b}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{5 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2} b^{3}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{5 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{5}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{11 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{4} b}{4 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}"," ",0,"-1/a*ln(tanh(1/2*x)+1)-1/a*ln(tanh(1/2*x)-1)-5/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^2*b^3-6/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^3*b^2-4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a*b^4-20/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a^3*b^2-6/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^3*b^2-4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a*b^4-13/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^2*b^3-11/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^4*b+3/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^4*b+b^6/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/a*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-15/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*b^5-15/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*b^5+1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(tanh(1/2*x)^2+1)*a^5-2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^5+7/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*b^5+3/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(tanh(1/2*x)^2+1)*a^3*b^2+3/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(tanh(1/2*x)^2+1)*a*b^4-3/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a^4*b-5/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a^2*b^3-7/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*b^5-2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^5+5/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^2*b^3-3/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^4*b-12/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a*b^4+13/2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^2*b^3+11/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^4*b-8/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a^5+15/4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*b^5","B"
114,1,207,173,0.203000," ","int(tanh(x)^4/(a+b*csch(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 b^{5} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}+\frac{2 \left(-a^{3}-2 a \,b^{2}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)+2 b^{3} \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+2 \left(-\frac{10}{3} a^{3}-\frac{16}{3} a \,b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+2 \left(2 a^{2} b +4 b^{3}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \left(-a^{3}-2 a \,b^{2}\right) \tanh \left(\frac{x}{2}\right)+\frac{4 a^{2} b}{3}+\frac{10 b^{3}}{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-2/a*b^5/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))+2/(a^4+2*a^2*b^2+b^4)*((-a^3-2*a*b^2)*tanh(1/2*x)^5+b^3*tanh(1/2*x)^4+(-10/3*a^3-16/3*a*b^2)*tanh(1/2*x)^3+(2*a^2*b+4*b^3)*tanh(1/2*x)^2+(-a^3-2*a*b^2)*tanh(1/2*x)+2/3*a^2*b+5/3*b^3)/(tanh(1/2*x)^2+1)^3","A"
115,1,324,109,0.189000," ","int(tanh(x)^3/(a+b*csch(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{b^{4} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a \left(a^{2}+b^{2}\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{2} b}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{3}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{3}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a \,b^{2}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) a^{2} b}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) b^{3}}{\left(a^{2}+b^{2}\right)^{2} \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}}{\left(a^{2}+b^{2}\right)^{2}}+\frac{2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a \,b^{2}}{\left(a^{2}+b^{2}\right)^{2}}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{3}}{\left(a^{2}+b^{2}\right)^{2}}-\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2} b}{\left(a^{2}+b^{2}\right)^{2}}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+b^4/a/(a^2+b^2)^2*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a^2*b-1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*b^3-2/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a^3-2/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a*b^2+1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a^2*b+1/(a^2+b^2)^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*b^3+1/(a^2+b^2)^2*ln(tanh(1/2*x)^2+1)*a^3+2/(a^2+b^2)^2*ln(tanh(1/2*x)^2+1)*a*b^2-3/(a^2+b^2)^2*arctan(tanh(1/2*x))*b^3-1/(a^2+b^2)^2*arctan(tanh(1/2*x))*a^2*b","B"
116,1,95,94,0.178000," ","int(tanh(x)^2/(a+b*csch(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 b^{3} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{2 b -2 a \tanh \left(\frac{x}{2}\right)}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-2/a*b^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))+2/(a^2+b^2)*(b-a*tanh(1/2*x))/(tanh(1/2*x)^2+1)","A"
117,1,108,61,0.180000," ","int(tanh(x)/(a+b*csch(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{b^{2} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a \left(a^{2}+b^{2}\right)}+\frac{4 a \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{4 a^{2}+4 b^{2}}-\frac{8 b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{4 a^{2}+4 b^{2}}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+b^2/a/(a^2+b^2)*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+4/(4*a^2+4*b^2)*a*ln(tanh(1/2*x)^2+1)-8/(4*a^2+4*b^2)*b*arctan(tanh(1/2*x))","A"
118,1,21,19,0.114000," ","int(coth(x)/(a+b*csch(x)),x)","\frac{\ln \left(a +b \,\mathrm{csch}\left(x \right)\right)}{a}-\frac{\ln \left(\mathrm{csch}\left(x \right)\right)}{a}"," ",0,"ln(a+b*csch(x))/a-1/a*ln(csch(x))","A"
119,1,110,51,0.126000," ","int(coth(x)^2/(a+b*csch(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 \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \sqrt{a^{2}+b^{2}}}-\frac{2 b \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-2*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-2/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))+1/b*ln(tanh(1/2*x))","B"
120,1,106,32,0.144000," ","int(coth(x)^3/(a+b*csch(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{2 b}-\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{a \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{b^{2}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a}-\frac{1}{2 b \tanh \left(\frac{x}{2}\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{2}}"," ",0,"1/2/b*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+a/b^2*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+1/a*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/2/b/tanh(1/2*x)-a/b^2*ln(tanh(1/2*x))","B"
121,1,207,78,0.148000," ","int(coth(x)^4/(a+b*csch(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 b}+\frac{a \tanh \left(\frac{x}{2}\right)}{2 b^{2}}-\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^{3} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{3} \sqrt{a^{2}+b^{2}}}-\frac{4 a \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \sqrt{a^{2}+b^{2}}}-\frac{2 b \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}-\frac{1}{8 b \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{b^{3}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 b}+\frac{a}{2 b^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/8/b*tanh(1/2*x)^2+1/2/b^2*a*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-2/b^3*a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-4*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-2/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-1/8/b/tanh(1/2*x)^2+1/b^3*ln(tanh(1/2*x))*a^2+3/2/b*ln(tanh(1/2*x))+1/2*a/b^2/tanh(1/2*x)","B"
122,1,219,66,0.153000," ","int(coth(x)^5/(a+b*csch(x)),x)","\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 b}+\frac{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 b^{2}}+\frac{a^{2} \tanh \left(\frac{x}{2}\right)}{2 b^{3}}+\frac{7 \tanh \left(\frac{x}{2}\right)}{8 b}-\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{a^{3} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{b^{4}}+\frac{2 a \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{b^{2}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a}-\frac{1}{24 b \tanh \left(\frac{x}{2}\right)^{3}}-\frac{a^{2}}{2 b^{3} \tanh \left(\frac{x}{2}\right)}-\frac{7}{8 b \tanh \left(\frac{x}{2}\right)}+\frac{a}{8 b^{2} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{4}}-\frac{2 a \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{2}}"," ",0,"1/24/b*tanh(1/2*x)^3+1/8/b^2*a*tanh(1/2*x)^2+1/2/b^3*a^2*tanh(1/2*x)+7/8/b*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+a^3/b^4*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+2*a/b^2*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+1/a*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/24/b/tanh(1/2*x)^3-1/2/b^3/tanh(1/2*x)*a^2-7/8/b/tanh(1/2*x)+1/8*a/b^2/tanh(1/2*x)^2-1/b^4*a^3*ln(tanh(1/2*x))-2*a/b^2*ln(tanh(1/2*x))","B"
123,1,360,165,0.167000," ","int(coth(x)^6/(a+b*csch(x)),x)","\frac{\tanh^{4}\left(\frac{x}{2}\right)}{64 b}+\frac{a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24 b^{2}}+\frac{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 b^{3}}+\frac{\tanh^{2}\left(\frac{x}{2}\right)}{4 b}+\frac{a^{3} \tanh \left(\frac{x}{2}\right)}{2 b^{4}}+\frac{9 a \tanh \left(\frac{x}{2}\right)}{8 b^{2}}-\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^{5} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{5} \sqrt{a^{2}+b^{2}}}-\frac{6 a^{3} \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{3} \sqrt{a^{2}+b^{2}}}-\frac{6 a \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \sqrt{a^{2}+b^{2}}}-\frac{2 b \arctanh \left(\frac{2 \tanh \left(\frac{x}{2}\right) b -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}-\frac{1}{64 b \tanh \left(\frac{x}{2}\right)^{4}}-\frac{a^{2}}{8 b^{3} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{1}{4 b \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{4}}{b^{5}}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{2 b^{3}}+\frac{15 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8 b}+\frac{a}{24 b^{2} \tanh \left(\frac{x}{2}\right)^{3}}+\frac{a^{3}}{2 b^{4} \tanh \left(\frac{x}{2}\right)}+\frac{9 a}{8 b^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/64/b*tanh(1/2*x)^4+1/24/b^2*a*tanh(1/2*x)^3+1/8/b^3*a^2*tanh(1/2*x)^2+1/4/b*tanh(1/2*x)^2+1/2/b^4*a^3*tanh(1/2*x)+9/8/b^2*a*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)-2*a^5/b^5/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-6/b^3*a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-6*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-2/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*tanh(1/2*x)*b-2*a)/(a^2+b^2)^(1/2))-1/64/b/tanh(1/2*x)^4-1/8/b^3/tanh(1/2*x)^2*a^2-1/4/b/tanh(1/2*x)^2+1/b^5*ln(tanh(1/2*x))*a^4+5/2/b^3*ln(tanh(1/2*x))*a^2+15/8/b*ln(tanh(1/2*x))+1/24*a/b^2/tanh(1/2*x)^3+1/2*a^3/b^4/tanh(1/2*x)+9/8*a/b^2/tanh(1/2*x)","B"
124,1,388,111,0.161000," ","int(coth(x)^7/(a+b*csch(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 a \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{b^{2}}-\frac{3 a \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{2}}+\frac{19 \tanh \left(\frac{x}{2}\right)}{16 b}+\frac{5 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16 b^{2}}+\frac{3 a^{3} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{b^{4}}+\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{32 b}-\frac{a^{5} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{6}}+\frac{a^{4} \tanh \left(\frac{x}{2}\right)}{2 b^{5}}+\frac{a}{64 b^{2} \tanh \left(\frac{x}{2}\right)^{4}}-\frac{a^{4}}{2 b^{5} \tanh \left(\frac{x}{2}\right)}+\frac{a^{3}}{8 b^{4} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{a^{2}}{24 b^{3} \tanh \left(\frac{x}{2}\right)^{3}}-\frac{1}{160 b \tanh \left(\frac{x}{2}\right)^{5}}+\frac{a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64 b^{2}}+\frac{11 a^{2} \tanh \left(\frac{x}{2}\right)}{8 b^{3}}-\frac{11 a^{2}}{8 b^{3} \tanh \left(\frac{x}{2}\right)}+\frac{5 a}{16 b^{2} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{3 a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{4}}-\frac{3}{32 b \tanh \left(\frac{x}{2}\right)^{3}}+\frac{a^{2} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24 b^{3}}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{3}}{8 b^{4}}+\frac{a^{5} \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{b^{6}}-\frac{19}{16 b \tanh \left(\frac{x}{2}\right)}+\frac{\tanh^{5}\left(\frac{x}{2}\right)}{160 b}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 a \tanh \left(\frac{x}{2}\right)-b \right)}{a}"," ",0,"-1/a*ln(tanh(1/2*x)+1)-1/a*ln(tanh(1/2*x)-1)-3*a/b^2*ln(tanh(1/2*x))+3*a/b^2*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)+19/16/b*tanh(1/2*x)-1/b^6*a^5*ln(tanh(1/2*x))+1/64/b^2*a*tanh(1/2*x)^4+1/24/b^3*a^2*tanh(1/2*x)^3+1/8/b^4*tanh(1/2*x)^2*a^3+1/2/b^5*a^4*tanh(1/2*x)+1/64*a/b^2/tanh(1/2*x)^4-1/2/b^5/tanh(1/2*x)*a^4+1/8*a^3/b^4/tanh(1/2*x)^2+a^5/b^6*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-1/24/b^3/tanh(1/2*x)^3*a^2-1/160/b/tanh(1/2*x)^5+1/160/b*tanh(1/2*x)^5+5/16/b^2*a*tanh(1/2*x)^2+11/8/b^3*a^2*tanh(1/2*x)+3*a^3/b^4*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-11/8/b^3/tanh(1/2*x)*a^2+5/16*a/b^2/tanh(1/2*x)^2-3/b^4*a^3*ln(tanh(1/2*x))+3/32/b*tanh(1/2*x)^3-3/32/b/tanh(1/2*x)^3+1/a*ln(tanh(1/2*x)^2*b-2*a*tanh(1/2*x)-b)-19/16/b/tanh(1/2*x)","B"
125,1,91,181,0.636000," ","int(exp(c*(b*x+a))*(csch(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({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{15 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\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/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)/(exp(2*c*(b*x+a))-1)^5*exp(-c*(b*x+a))","A"
126,1,80,136,0.607000," ","int(exp(c*(b*x+a))*(csch(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({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{3 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{3}}"," ",0,"-4/3/b/c*(6*exp(4*c*(b*x+a))-4*exp(2*c*(b*x+a))+1)*(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)/(exp(2*c*(b*x+a))-1)^3*exp(-c*(b*x+a))","A"
127,1,69,54,0.601000," ","int(exp(c*(b*x+a))*(csch(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({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{-c \left(b x +a \right)}}{b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)}"," ",0,"-2/b/c*(2*exp(2*c*(b*x+a))-1)*(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)/(exp(2*c*(b*x+a))-1)*exp(-c*(b*x+a))","A"
128,1,68,43,0.704000," ","int(exp(c*(b*x+a))*(csch(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({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\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*(exp(2*c*(b*x+a))-1)*(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(-c*(b*x+a))","A"
129,1,106,65,0.542000," ","int(exp(c*(b*x+a))/(csch(b*c*x+a*c)^2)^(1/2),x)","-\frac{x \,{\mathrm e}^{c \left(b x +a \right)}}{2 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}+\frac{{\mathrm e}^{3 c \left(b x +a \right)}}{4 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}"," ",0,"-1/2*x/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(c*(b*x+a))+1/4/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(3*c*(b*x+a))","A"
130,1,216,145,0.540000," ","int(exp(c*(b*x+a))/(csch(b*c*x+a*c)^2)^(3/2),x)","\frac{3 x \,{\mathrm e}^{c \left(b x +a \right)}}{8 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}+\frac{{\mathrm e}^{5 c \left(b x +a \right)}}{32 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}-\frac{3 \,{\mathrm e}^{3 c \left(b x +a \right)}}{16 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}+\frac{{\mathrm e}^{-c \left(b x +a \right)}}{16 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}"," ",0,"3/8*x/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(c*(b*x+a))+1/32/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(5*c*(b*x+a))-3/16/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(3*c*(b*x+a))+1/16/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(-c*(b*x+a))","A"
131,1,326,225,0.544000," ","int(exp(c*(b*x+a))/(csch(b*c*x+a*c)^2)^(5/2),x)","-\frac{5 x \,{\mathrm e}^{c \left(b x +a \right)}}{16 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}+\frac{{\mathrm e}^{7 c \left(b x +a \right)}}{192 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}-\frac{5 \,{\mathrm e}^{5 c \left(b x +a \right)}}{128 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}+\frac{5 \,{\mathrm e}^{3 c \left(b x +a \right)}}{32 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}-\frac{5 \,{\mathrm e}^{-c \left(b x +a \right)}}{64 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}+\frac{{\mathrm e}^{-3 c \left(b x +a \right)}}{128 b c \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{{\mathrm e}^{2 c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}}"," ",0,"-5/16*x/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(c*(b*x+a))+1/192/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(7*c*(b*x+a))-5/128/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(5*c*(b*x+a))+5/32/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(3*c*(b*x+a))-5/64/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(-c*(b*x+a))+1/128/b/c/(exp(2*c*(b*x+a))-1)/(1/(exp(2*c*(b*x+a))-1)^2*exp(2*c*(b*x+a)))^(1/2)*exp(-3*c*(b*x+a))","A"
132,1,125,71,0.209000," ","int(x^5/csch(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{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{-c^{2}}, i\right) \sqrt{2}\, x}{21 c^{4} \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)*EllipticF(x*(-c^2)^(1/2),I)*2^(1/2)*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
133,1,39,26,0.145000," ","int(x^4/csch(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"
134,1,127,107,0.158000," ","int(x^3/csch(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{\sqrt{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{-c^{2}}, i\right)-\EllipticE \left(x \sqrt{-c^{2}}, i\right)\right) \sqrt{2}\, x}{5 \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)/c^2*(EllipticF(x*(-c^2)^(1/2),I)-EllipticE(x*(-c^2)^(1/2),I))*2^(1/2)*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
135,1,97,57,0.186000," ","int(x^2/csch(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"
136,1,109,54,0.147000," ","int(x/csch(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{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{-c^{2}}, i\right) \sqrt{2}\, x}{3 \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)*EllipticF(x*(-c^2)^(1/2),I)*2^(1/2)*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
137,0,0,50,0.143000," ","int(1/csch(2*ln(c*x))^(1/2),x)","\int \frac{1}{\sqrt{\mathrm{csch}\left(2 \ln \left(c x \right)\right)}}\, dx"," ",0,"int(1/csch(2*ln(c*x))^(1/2),x)","F"
138,1,90,70,0.287000," ","int(csch(2*ln(c*x))^(1/2)/x,x)","\frac{i \sqrt{-i \left(\sinh \left(2 \ln \left(c x \right)\right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(2 \ln \left(c x \right)\right)+i\right)}\, \sqrt{i \sinh \left(2 \ln \left(c x \right)\right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(2 \ln \left(c x \right)\right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{2 \cosh \left(2 \ln \left(c x \right)\right) \sqrt{\sinh \left(2 \ln \left(c x \right)\right)}}"," ",0,"1/2*I*(-I*(sinh(2*ln(c*x))+I))^(1/2)*2^(1/2)*(-I*(-sinh(2*ln(c*x))+I))^(1/2)*(I*sinh(2*ln(c*x)))^(1/2)*EllipticF((-I*(sinh(2*ln(c*x))+I))^(1/2),1/2*2^(1/2))/cosh(2*ln(c*x))/sinh(2*ln(c*x))^(1/2)","A"
139,0,0,35,0.140000," ","int(csch(2*ln(c*x))^(1/2)/x^2,x)","\int \frac{\sqrt{\mathrm{csch}\left(2 \ln \left(c x \right)\right)}}{x^{2}}\, dx"," ",0,"int(csch(2*ln(c*x))^(1/2)/x^2,x)","F"
140,1,126,74,0.161000," ","int(csch(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{c^{2} \sqrt{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{-c^{2}}, i\right)-\EllipticE \left(x \sqrt{-c^{2}}, i\right)\right) \sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}-1}}}{\sqrt{-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)-c^2/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)*(EllipticF(x*(-c^2)^(1/2),I)-EllipticE(x*(-c^2)^(1/2),I))*2^(1/2)*(c^2*x^2/(c^4*x^4-1))^(1/2)/x","A"
141,1,38,21,0.136000," ","int(csch(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"
142,1,112,58,0.137000," ","int(csch(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{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{-c^{2}}, i\right) \sqrt{2}\, \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4}-1}}}{3 \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)*EllipticF(x*(-c^2)^(1/2),I)*2^(1/2)*(c^2*x^2/(c^4*x^4-1))^(1/2)/x","A"
143,1,121,108,0.214000," ","int(x^8/csch(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"
144,1,133,104,0.155000," ","int(x^7/csch(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{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{-c^{2}}, i\right) \sqrt{2}\, x}{77 c^{6} \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)*EllipticF(x*(-c^2)^(1/2),I)*2^(1/2)*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
145,1,47,26,0.136000," ","int(x^6/csch(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"
146,1,140,146,0.150000," ","int(x^5/csch(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{\sqrt{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{-c^{2}}, i\right)-\EllipticE \left(x \sqrt{-c^{2}}, i\right)\right) \sqrt{2}\, x}{15 \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)/c^4*(EllipticF(x*(-c^2)^(1/2),I)-EllipticE(x*(-c^2)^(1/2),I))*2^(1/2)*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
147,1,113,80,0.186000," ","int(x^4/csch(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"
148,1,124,76,0.148000," ","int(x^3/csch(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{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \EllipticF \left(x \sqrt{-c^{2}}, i\right) \sqrt{2}\, x}{7 \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)*EllipticF(x*(-c^2)^(1/2),I)*2^(1/2)/c^2*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
149,0,0,77,0.149000," ","int(x^2/csch(2*ln(c*x))^(3/2),x)","\int \frac{x^{2}}{\mathrm{csch}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/csch(2*ln(c*x))^(3/2),x)","F"
150,1,152,118,0.159000," ","int(x/csch(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 \sqrt{c^{2} x^{2}+1}\, \sqrt{-c^{2} x^{2}+1}\, \left(\EllipticF \left(x \sqrt{-c^{2}}, i\right)-\EllipticE \left(x \sqrt{-c^{2}}, i\right)\right) \sqrt{2}\, x}{5 \sqrt{-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/(-c^2)^(1/2)*(c^2*x^2+1)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^4*x^4-1)*(EllipticF(x*(-c^2)^(1/2),I)-EllipticE(x*(-c^2)^(1/2),I))*2^(1/2)*x/(c^2*x^2/(c^4*x^4-1))^(1/2)","A"
151,1,130,80,0.191000," ","int(1/csch(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"
152,1,163,89,0.414000," ","int(csch(2*ln(c*x))^(3/2)/x,x)","\frac{2 \sqrt{1-i \sinh \left(2 \ln \left(c x \right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(2 \ln \left(c x \right)\right)+1}\, \sqrt{i \sinh \left(2 \ln \left(c x \right)\right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(2 \ln \left(c x \right)\right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(2 \ln \left(c x \right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(2 \ln \left(c x \right)\right)+1}\, \sqrt{i \sinh \left(2 \ln \left(c x \right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(2 \ln \left(c x \right)\right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(2 \ln \left(c x \right)\right)\right)}{2 \cosh \left(2 \ln \left(c x \right)\right) \sqrt{\sinh \left(2 \ln \left(c x \right)\right)}}"," ",0,"1/2*(2*(1-I*sinh(2*ln(c*x)))^(1/2)*2^(1/2)*(I*sinh(2*ln(c*x))+1)^(1/2)*(I*sinh(2*ln(c*x)))^(1/2)*EllipticE((1-I*sinh(2*ln(c*x)))^(1/2),1/2*2^(1/2))-(1-I*sinh(2*ln(c*x)))^(1/2)*2^(1/2)*(I*sinh(2*ln(c*x))+1)^(1/2)*(I*sinh(2*ln(c*x)))^(1/2)*EllipticF((1-I*sinh(2*ln(c*x)))^(1/2),1/2*2^(1/2))-2*cosh(2*ln(c*x))^2)/cosh(2*ln(c*x))/sinh(2*ln(c*x))^(1/2)","A"
153,0,0,23,0.152000," ","int(csch(2*ln(c*x))^(3/2)/x^2,x)","\int \frac{\mathrm{csch}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int(csch(2*ln(c*x))^(3/2)/x^2,x)","F"
154,0,0,63,0.138000," ","int(csch(2*ln(c*x))^(3/2)/x^3,x)","\int \frac{\mathrm{csch}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"int(csch(2*ln(c*x))^(3/2)/x^3,x)","F"
155,0,0,59,0.147000," ","int(csch(2*ln(c*x))^(3/2)/x^4,x)","\int \frac{\mathrm{csch}\left(2 \ln \left(c x \right)\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"int(csch(2*ln(c*x))^(3/2)/x^4,x)","F"
156,0,0,57,0.369000," ","int(csch(a+b*ln(c*x^n)),x)","\int \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csch(a+b*ln(c*x^n)),x)","F"
157,0,0,62,1.782000," ","int(csch(a+b*ln(c*x^n))^2,x)","\int \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)^{2}\, dx"," ",0,"int(csch(a+b*ln(c*x^n))^2,x)","F"
158,0,0,64,2.109000," ","int(csch(a+b*ln(c*x^n))^3,x)","\int \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)^{3}\, dx"," ",0,"int(csch(a+b*ln(c*x^n))^3,x)","F"
159,0,0,62,1.813000," ","int(csch(a+b*ln(c*x^n))^4,x)","\int \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)^{4}\, dx"," ",0,"int(csch(a+b*ln(c*x^n))^4,x)","F"
160,1,509,42,1.109000," ","int(-(-b^2*n^2+1)*csch(a+b*ln(c*x^n))+2*b^2*n^2*csch(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"
161,0,0,26,0.529000," ","int(csch(a+2*ln(c*x^(1/2)))^3,x)","\int \mathrm{csch}\left(a +2 \ln \left(c \sqrt{x}\right)\right)^{3}\, dx"," ",0,"int(csch(a+2*ln(c*x^(1/2)))^3,x)","F"
162,0,0,26,0.728000," ","int(csch(a+2*ln(c/x^(1/2)))^3,x)","\int \mathrm{csch}\left(a +2 \ln \left(\frac{c}{\sqrt{x}}\right)\right)^{3}\, dx"," ",0,"int(csch(a+2*ln(c/x^(1/2)))^3,x)","F"
163,0,0,90,0.513000," ","int(csch(a+ln(c*x^n)/n/(-2+p))^p,x)","\int \mathrm{csch}\left(a +\frac{\ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)^{p}\, dx"," ",0,"int(csch(a+ln(c*x^n)/n/(-2+p))^p,x)","F"
164,0,0,67,0.513000," ","int(csch(a-ln(c*x^n)/n/(-2+p))^p,x)","\int \mathrm{csch}\left(a -\frac{\ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)^{p}\, dx"," ",0,"int(csch(a-ln(c*x^n)/n/(-2+p))^p,x)","F"
165,1,23,20,0.087000," ","int(csch(a+b*ln(c*x^n))/x,x)","\frac{\ln \left(\tanh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{n b}"," ",0,"1/n/b*ln(tanh(1/2*a+1/2*b*ln(c*x^n)))","A"
166,1,20,19,0.327000," ","int(csch(a+b*ln(c*x^n))^2/x,x)","-\frac{\coth \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"-coth(a+b*ln(c*x^n))/b/n","A"
167,1,51,51,0.329000," ","int(csch(a+b*ln(c*x^n))^3/x,x)","-\frac{\coth \left(a +b \ln \left(c \,x^{n}\right)\right) \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\arctanh \left({\mathrm e}^{a +b \ln \left(c \,x^{n}\right)}\right)}{b n}"," ",0,"-1/2*coth(a+b*ln(c*x^n))*csch(a+b*ln(c*x^n))/b/n+1/b/n*arctanh(exp(a+b*ln(c*x^n)))","A"
168,1,36,40,0.302000," ","int(csch(a+b*ln(c*x^n))^4/x,x)","\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)^{2}}{3}\right) \coth \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(2/3-1/3*csch(a+b*ln(c*x^n))^2)*coth(a+b*ln(c*x^n))","A"
169,1,84,83,0.313000," ","int(csch(a+b*ln(c*x^n))^5/x,x)","-\frac{\coth \left(a +b \ln \left(c \,x^{n}\right)\right) \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)^{3}}{4 b n}+\frac{3 \coth \left(a +b \ln \left(c \,x^{n}\right)\right) \mathrm{csch}\left(a +b \ln \left(c \,x^{n}\right)\right)}{8 b n}-\frac{3 \arctanh \left({\mathrm e}^{a +b \ln \left(c \,x^{n}\right)}\right)}{4 b n}"," ",0,"-1/4*coth(a+b*ln(c*x^n))*csch(a+b*ln(c*x^n))^3/b/n+3/8*coth(a+b*ln(c*x^n))*csch(a+b*ln(c*x^n))/b/n-3/4/b/n*arctanh(exp(a+b*ln(c*x^n)))","A"
170,1,144,138,0.485000," ","int(csch(a+b*ln(c*x^n))^(5/2)/x,x)","-\frac{i \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 n \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}} \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) b}"," ",0,"-1/3/n/sinh(a+b*ln(c*x^n))^(3/2)*(I*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))*sinh(a+b*ln(c*x^n))+2*cosh(a+b*ln(c*x^n))^2)/cosh(a+b*ln(c*x^n))/b","A"
171,1,212,138,0.550000," ","int(csch(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{2 \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(2*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticE((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))-(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))-2*cosh(a+b*ln(c*x^n))^2)/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
172,1,120,105,0.344000," ","int(csch(a+b*ln(c*x^n))^(1/2)/x,x)","\frac{i \sqrt{-i \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"I/n*(-I*(sinh(a+b*ln(c*x^n))+I))^(1/2)*2^(1/2)*(-I*(-sinh(a+b*ln(c*x^n))+I))^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((-I*(sinh(a+b*ln(c*x^n))+I))^(1/2),1/2*2^(1/2))/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
173,1,146,105,0.587000," ","int(1/x/csch(a+b*ln(c*x^n))^(1/2),x)","\frac{\sqrt{-i \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \left(2 \EllipticE \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)\right)}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(-I*(sinh(a+b*ln(c*x^n))+I))^(1/2)*2^(1/2)*(-I*(-sinh(a+b*ln(c*x^n))+I))^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*(2*EllipticE((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))-EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2)))/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
174,1,143,138,0.452000," ","int(1/x/csch(a+b*ln(c*x^n))^(3/2),x)","\frac{-\frac{i \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)}{3}+\frac{2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{3}}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(-1/3*I*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))+2/3*cosh(a+b*ln(c*x^n))^2*sinh(a+b*ln(c*x^n)))/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
175,1,227,138,0.688000," ","int(1/x/csch(a+b*ln(c*x^n))^(5/2),x)","\frac{-\frac{6 \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{3 \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{2 \left(\cosh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}-\frac{2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(-6/5*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticE((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))+3/5*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))+2/5*cosh(a+b*ln(c*x^n))^4-2/5*cosh(a+b*ln(c*x^n))^2)/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"