1,1,80,79,0.129000," ","int((b*coth(d*x+c))^(7/2),x)","\frac{b^{\frac{7}{2}} \arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d}+\frac{b^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d}-\frac{2 b \left(b \coth \left(d x +c \right)\right)^{\frac{5}{2}}}{5 d}-\frac{2 b^{3} \sqrt{b \coth \left(d x +c \right)}}{d}"," ",0,"b^(7/2)*arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/d+b^(7/2)*arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/d-2/5*b*(b*coth(d*x+c))^(5/2)/d-2*b^3*(b*coth(d*x+c))^(1/2)/d","A"
2,1,63,62,0.113000," ","int((b*coth(d*x+c))^(5/2),x)","-\frac{b^{\frac{5}{2}} \arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d}+\frac{b^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d}-\frac{2 b \left(b \coth \left(d x +c \right)\right)^{\frac{3}{2}}}{3 d}"," ",0,"-b^(5/2)*arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/d+b^(5/2)*arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/d-2/3*b*(b*coth(d*x+c))^(3/2)/d","A"
3,1,62,61,0.133000," ","int((b*coth(d*x+c))^(3/2),x)","\frac{b^{\frac{3}{2}} \arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d}+\frac{b^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d}-\frac{2 b \sqrt{b \coth \left(d x +c \right)}}{d}"," ",0,"b^(3/2)*arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/d+b^(3/2)*arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/d-2*b*(b*coth(d*x+c))^(1/2)/d","A"
4,1,47,46,0.128000," ","int((b*coth(d*x+c))^(1/2),x)","-\frac{\arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right) \sqrt{b}}{d}+\frac{\arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right) \sqrt{b}}{d}"," ",0,"-arctan((b*coth(d*x+c))^(1/2)/b^(1/2))*b^(1/2)/d+arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))*b^(1/2)/d","A"
5,1,46,45,0.125000," ","int(1/(b*coth(d*x+c))^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d \sqrt{b}}+\frac{\arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{d \sqrt{b}}"," ",0,"arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/d/b^(1/2)+arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/d/b^(1/2)","A"
6,1,65,64,0.101000," ","int(1/(b*coth(d*x+c))^(3/2),x)","-\frac{\arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{3}{2}} d}+\frac{\arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{3}{2}} d}-\frac{2}{b d \sqrt{b \coth \left(d x +c \right)}}"," ",0,"-arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/b^(3/2)/d+arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/b^(3/2)/d-2/b/d/(b*coth(d*x+c))^(1/2)","A"
7,1,64,63,0.095000," ","int(1/(b*coth(d*x+c))^(5/2),x)","\frac{\arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{5}{2}} d}+\frac{\arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{5}{2}} d}-\frac{2}{3 b d \left(b \coth \left(d x +c \right)\right)^{\frac{3}{2}}}"," ",0,"arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/b^(5/2)/d+arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/b^(5/2)/d-2/3/b/d/(b*coth(d*x+c))^(3/2)","A"
8,1,83,82,0.104000," ","int(1/(b*coth(d*x+c))^(7/2),x)","-\frac{\arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{7}{2}} d}+\frac{\arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{7}{2}} d}-\frac{2}{5 b d \left(b \coth \left(d x +c \right)\right)^{\frac{5}{2}}}-\frac{2}{b^{3} d \sqrt{b \coth \left(d x +c \right)}}"," ",0,"-arctan((b*coth(d*x+c))^(1/2)/b^(1/2))/b^(7/2)/d+arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))/b^(7/2)/d-2/5/b/d/(b*coth(d*x+c))^(5/2)-2/b^3/d/(b*coth(d*x+c))^(1/2)","A"
9,1,209,182,0.110000," ","int((b*coth(d*x+c))^(4/3),x)","-\frac{3 b \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{d}-\frac{b^{\frac{4}{3}} \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}-b^{\frac{1}{3}}\right)}{2 d}+\frac{b^{\frac{4}{3}} \ln \left(b^{\frac{2}{3}}+b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 d}+\frac{b^{\frac{4}{3}} \arctan \left(\frac{\left(1+\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) \sqrt{3}}{3}\right) \sqrt{3}}{2 d}+\frac{b^{\frac{4}{3}} \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+b^{\frac{1}{3}}\right)}{2 d}-\frac{b^{\frac{4}{3}} \ln \left(b^{\frac{2}{3}}-b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 d}+\frac{b^{\frac{4}{3}} \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}-1\right)}{3}\right)}{2 d}"," ",0,"-3*b*(b*coth(d*x+c))^(1/3)/d-1/2*b^(4/3)/d*ln((b*coth(d*x+c))^(1/3)-b^(1/3))+1/4*b^(4/3)*ln(b^(2/3)+b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/d+1/2*b^(4/3)*arctan(1/3*(1+2*(b*coth(d*x+c))^(1/3)/b^(1/3))*3^(1/2))*3^(1/2)/d+1/2*b^(4/3)/d*ln((b*coth(d*x+c))^(1/3)+b^(1/3))-1/4*b^(4/3)*ln(b^(2/3)-b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/d+1/2*b^(4/3)/d*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*coth(d*x+c))^(1/3)/b^(1/3)-1))","A"
10,1,193,166,0.108000," ","int((b*coth(d*x+c))^(2/3),x)","-\frac{b^{\frac{2}{3}} \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}-b^{\frac{1}{3}}\right)}{2 d}+\frac{b^{\frac{2}{3}} \ln \left(b^{\frac{2}{3}}+b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 d}-\frac{b^{\frac{2}{3}} \arctan \left(\frac{\left(1+\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) \sqrt{3}}{3}\right) \sqrt{3}}{2 d}+\frac{b^{\frac{2}{3}} \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+b^{\frac{1}{3}}\right)}{2 d}-\frac{b^{\frac{2}{3}} \ln \left(b^{\frac{2}{3}}-b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 d}-\frac{b^{\frac{2}{3}} \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}-1\right)}{3}\right)}{2 d}"," ",0,"-1/2*b^(2/3)/d*ln((b*coth(d*x+c))^(1/3)-b^(1/3))+1/4*b^(2/3)*ln(b^(2/3)+b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/d-1/2*b^(2/3)*arctan(1/3*(1+2*(b*coth(d*x+c))^(1/3)/b^(1/3))*3^(1/2))*3^(1/2)/d+1/2*b^(2/3)/d*ln((b*coth(d*x+c))^(1/3)+b^(1/3))-1/4*b^(2/3)*ln(b^(2/3)-b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/d-1/2*b^(2/3)/d*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*coth(d*x+c))^(1/3)/b^(1/3)-1))","A"
11,1,115,99,0.102000," ","int((b*coth(d*x+c))^(1/3),x)","-\frac{b \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}-\left(b^{2}\right)^{\frac{1}{3}}\right)}{2 d \left(b^{2}\right)^{\frac{1}{3}}}+\frac{b \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{4}{3}}+\left(b^{2}\right)^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}+\left(b^{2}\right)^{\frac{2}{3}}\right)}{4 d \left(b^{2}\right)^{\frac{1}{3}}}-\frac{b \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}}{\left(b^{2}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{2 d \left(b^{2}\right)^{\frac{1}{3}}}"," ",0,"-1/2*b/d/(b^2)^(1/3)*ln((b*coth(d*x+c))^(2/3)-(b^2)^(1/3))+1/4*b/d/(b^2)^(1/3)*ln((b*coth(d*x+c))^(4/3)+(b^2)^(1/3)*(b*coth(d*x+c))^(2/3)+(b^2)^(2/3))-1/2*b/d*3^(1/2)/(b^2)^(1/3)*arctan(1/3*3^(1/2)*(2/(b^2)^(1/3)*(b*coth(d*x+c))^(2/3)+1))","A"
12,1,115,99,0.088000," ","int(1/(b*coth(d*x+c))^(1/3),x)","-\frac{b \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}-\left(b^{2}\right)^{\frac{1}{3}}\right)}{2 d \left(b^{2}\right)^{\frac{2}{3}}}+\frac{b \ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{4}{3}}+\left(b^{2}\right)^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}+\left(b^{2}\right)^{\frac{2}{3}}\right)}{4 d \left(b^{2}\right)^{\frac{2}{3}}}+\frac{b \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}}{\left(b^{2}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{2 d \left(b^{2}\right)^{\frac{2}{3}}}"," ",0,"-1/2*b/d/(b^2)^(2/3)*ln((b*coth(d*x+c))^(2/3)-(b^2)^(1/3))+1/4*b/d/(b^2)^(2/3)*ln((b*coth(d*x+c))^(4/3)+(b^2)^(1/3)*(b*coth(d*x+c))^(2/3)+(b^2)^(2/3))+1/2*b/d/(b^2)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(b^2)^(1/3)*(b*coth(d*x+c))^(2/3)+1))","A"
13,1,193,166,0.090000," ","int(1/(b*coth(d*x+c))^(2/3),x)","-\frac{\ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}-b^{\frac{1}{3}}\right)}{2 b^{\frac{2}{3}} d}+\frac{\ln \left(b^{\frac{2}{3}}+b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 b^{\frac{2}{3}} d}+\frac{\arctan \left(\frac{\left(1+\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) \sqrt{3}}{3}\right) \sqrt{3}}{2 b^{\frac{2}{3}} d}+\frac{\ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+b^{\frac{1}{3}}\right)}{2 b^{\frac{2}{3}} d}-\frac{\ln \left(b^{\frac{2}{3}}-b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 b^{\frac{2}{3}} d}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}-1\right)}{3}\right)}{2 b^{\frac{2}{3}} d}"," ",0,"-1/2/b^(2/3)/d*ln((b*coth(d*x+c))^(1/3)-b^(1/3))+1/4*ln(b^(2/3)+b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/b^(2/3)/d+1/2*arctan(1/3*(1+2*(b*coth(d*x+c))^(1/3)/b^(1/3))*3^(1/2))*3^(1/2)/b^(2/3)/d+1/2/b^(2/3)/d*ln((b*coth(d*x+c))^(1/3)+b^(1/3))-1/4*ln(b^(2/3)-b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/b^(2/3)/d+1/2/b^(2/3)/d*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*coth(d*x+c))^(1/3)/b^(1/3)-1))","A"
14,1,211,184,0.095000," ","int(1/(b*coth(d*x+c))^(4/3),x)","-\frac{3}{b d \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}-\frac{\ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}-b^{\frac{1}{3}}\right)}{2 b^{\frac{4}{3}} d}+\frac{\ln \left(b^{\frac{2}{3}}+b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 b^{\frac{4}{3}} d}-\frac{\arctan \left(\frac{\left(1+\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) \sqrt{3}}{3}\right) \sqrt{3}}{2 b^{\frac{4}{3}} d}+\frac{\ln \left(\left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+b^{\frac{1}{3}}\right)}{2 b^{\frac{4}{3}} d}-\frac{\ln \left(b^{\frac{2}{3}}-b^{\frac{1}{3}} \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}+\left(b \coth \left(d x +c \right)\right)^{\frac{2}{3}}\right)}{4 b^{\frac{4}{3}} d}-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \coth \left(d x +c \right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}-1\right)}{3}\right)}{2 b^{\frac{4}{3}} d}"," ",0,"-3/b/d/(b*coth(d*x+c))^(1/3)-1/2/b^(4/3)/d*ln((b*coth(d*x+c))^(1/3)-b^(1/3))+1/4*ln(b^(2/3)+b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/b^(4/3)/d-1/2*arctan(1/3*(1+2*(b*coth(d*x+c))^(1/3)/b^(1/3))*3^(1/2))*3^(1/2)/b^(4/3)/d+1/2/b^(4/3)/d*ln((b*coth(d*x+c))^(1/3)+b^(1/3))-1/4*ln(b^(2/3)-b^(1/3)*(b*coth(d*x+c))^(1/3)+(b*coth(d*x+c))^(2/3))/b^(4/3)/d-1/2/b^(4/3)/d*3^(1/2)*arctan(1/3*3^(1/2)*(2*(b*coth(d*x+c))^(1/3)/b^(1/3)-1))","A"
15,0,0,41,0.443000," ","int(coth(b*x+a)^n,x)","\int \coth^{n}\left(b x +a \right)\, dx"," ",0,"int(coth(b*x+a)^n,x)","F"
16,0,0,46,0.471000," ","int((b*coth(d*x+c))^n,x)","\int \left(b \coth \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((b*coth(d*x+c))^n,x)","F"
17,0,0,47,0.627000," ","int((b*coth(d*x+c)^2)^n,x)","\int \left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{n}\, dx"," ",0,"int((b*coth(d*x+c)^2)^n,x)","F"
18,1,53,55,0.154000," ","int((b*coth(d*x+c)^2)^(3/2),x)","-\frac{\left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{3}{2}} \left(\coth^{2}\left(d x +c \right)+\ln \left(\coth \left(d x +c \right)-1\right)+\ln \left(\coth \left(d x +c \right)+1\right)\right)}{2 d \coth \left(d x +c \right)^{3}}"," ",0,"-1/2/d*(b*coth(d*x+c)^2)^(3/2)*(coth(d*x+c)^2+ln(coth(d*x+c)-1)+ln(coth(d*x+c)+1))/coth(d*x+c)^3","A"
19,1,45,29,0.156000," ","int((b*coth(d*x+c)^2)^(1/2),x)","-\frac{\sqrt{b \left(\coth^{2}\left(d x +c \right)\right)}\, \left(\ln \left(\coth \left(d x +c \right)-1\right)+\ln \left(\coth \left(d x +c \right)+1\right)\right)}{2 d \coth \left(d x +c \right)}"," ",0,"-1/2/d*(b*coth(d*x+c)^2)^(1/2)*(ln(coth(d*x+c)-1)+ln(coth(d*x+c)+1))/coth(d*x+c)","A"
20,1,52,29,0.158000," ","int(1/(b*coth(d*x+c)^2)^(1/2),x)","-\frac{\coth \left(d x +c \right) \left(\ln \left(\coth \left(d x +c \right)-1\right)+\ln \left(\coth \left(d x +c \right)+1\right)-2 \ln \left(\coth \left(d x +c \right)\right)\right)}{2 d \sqrt{b \left(\coth^{2}\left(d x +c \right)\right)}}"," ",0,"-1/2/d*coth(d*x+c)*(ln(coth(d*x+c)-1)+ln(coth(d*x+c)+1)-2*ln(coth(d*x+c)))/(b*coth(d*x+c)^2)^(1/2)","A"
21,1,79,59,0.125000," ","int(1/(b*coth(d*x+c)^2)^(3/2),x)","-\frac{\coth \left(d x +c \right) \left(\ln \left(\coth \left(d x +c \right)-1\right) \left(\coth^{2}\left(d x +c \right)\right)+\ln \left(\coth \left(d x +c \right)+1\right) \left(\coth^{2}\left(d x +c \right)\right)-2 \ln \left(\coth \left(d x +c \right)\right) \left(\coth^{2}\left(d x +c \right)\right)+1\right)}{2 d \left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{3}{2}}}"," ",0,"-1/2/d*coth(d*x+c)*(ln(coth(d*x+c)-1)*coth(d*x+c)^2+ln(coth(d*x+c)+1)*coth(d*x+c)^2-2*ln(coth(d*x+c))*coth(d*x+c)^2+1)/(b*coth(d*x+c)^2)^(3/2)","A"
22,0,0,245,0.357000," ","int((b*coth(d*x+c)^2)^(4/3),x)","\int \left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^2)^(4/3),x)","F"
23,0,0,239,0.337000," ","int((b*coth(d*x+c)^2)^(2/3),x)","\int \left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^2)^(2/3),x)","F"
24,0,0,216,0.378000," ","int((b*coth(d*x+c)^2)^(1/3),x)","\int \left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^2)^(1/3),x)","F"
25,0,0,216,0.395000," ","int(1/(b*coth(d*x+c)^2)^(1/3),x)","\int \frac{1}{\left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^2)^(1/3),x)","F"
26,0,0,239,0.353000," ","int(1/(b*coth(d*x+c)^2)^(2/3),x)","\int \frac{1}{\left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^2)^(2/3),x)","F"
27,0,0,257,0.362000," ","int(1/(b*coth(d*x+c)^2)^(4/3),x)","\int \frac{1}{\left(b \left(\coth^{2}\left(d x +c \right)\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^2)^(4/3),x)","F"
28,0,0,51,0.627000," ","int((b*coth(d*x+c)^3)^n,x)","\int \left(b \left(\coth^{3}\left(d x +c \right)\right)\right)^{n}\, dx"," ",0,"int((b*coth(d*x+c)^3)^n,x)","F"
29,1,107,114,0.203000," ","int((b*coth(d*x+c)^3)^(3/2),x)","\frac{\left(b \left(\coth^{3}\left(d x +c \right)\right)\right)^{\frac{3}{2}} \left(21 b^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)-21 b^{\frac{7}{2}} \arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)-6 \left(b \coth \left(d x +c \right)\right)^{\frac{7}{2}}-14 b^{2} \left(b \coth \left(d x +c \right)\right)^{\frac{3}{2}}\right)}{21 d \coth \left(d x +c \right)^{3} \left(b \coth \left(d x +c \right)\right)^{\frac{3}{2}} b^{2}}"," ",0,"1/21/d*(b*coth(d*x+c)^3)^(3/2)*(21*b^(7/2)*arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))-21*b^(7/2)*arctan((b*coth(d*x+c))^(1/2)/b^(1/2))-6*(b*coth(d*x+c))^(7/2)-14*b^2*(b*coth(d*x+c))^(3/2))/coth(d*x+c)^3/(b*coth(d*x+c))^(3/2)/b^2","A"
30,1,89,90,0.167000," ","int((b*coth(d*x+c)^3)^(1/2),x)","-\frac{\sqrt{b \left(\coth^{3}\left(d x +c \right)\right)}\, \left(2 \sqrt{b \coth \left(d x +c \right)}-\sqrt{b}\, \arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)-\sqrt{b}\, \arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right)\right)}{d \coth \left(d x +c \right) \sqrt{b \coth \left(d x +c \right)}}"," ",0,"-1/d*(b*coth(d*x+c)^3)^(1/2)*(2*(b*coth(d*x+c))^(1/2)-b^(1/2)*arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))-b^(1/2)*arctan((b*coth(d*x+c))^(1/2)/b^(1/2)))/coth(d*x+c)/(b*coth(d*x+c))^(1/2)","A"
31,1,92,91,0.157000," ","int(1/(b*coth(d*x+c)^3)^(1/2),x)","-\frac{\coth \left(d x +c \right) \left(2 b^{\frac{5}{2}}-\arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right) b^{2} \sqrt{b \coth \left(d x +c \right)}+\arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right) b^{2} \sqrt{b \coth \left(d x +c \right)}\right)}{d \sqrt{b \left(\coth^{3}\left(d x +c \right)\right)}\, b^{\frac{5}{2}}}"," ",0,"-1/d*coth(d*x+c)*(2*b^(5/2)-arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))*b^2*(b*coth(d*x+c))^(1/2)+arctan((b*coth(d*x+c))^(1/2)/b^(1/2))*b^2*(b*coth(d*x+c))^(1/2))/(b*coth(d*x+c)^3)^(1/2)/b^(5/2)","A"
32,1,106,121,0.135000," ","int(1/(b*coth(d*x+c)^3)^(3/2),x)","\frac{\coth \left(d x +c \right) \left(-14 b^{\frac{15}{2}} \left(\coth^{2}\left(d x +c \right)\right)-6 b^{\frac{15}{2}}+21 \arctanh \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right) b^{4} \left(b \coth \left(d x +c \right)\right)^{\frac{7}{2}}+21 \arctan \left(\frac{\sqrt{b \coth \left(d x +c \right)}}{\sqrt{b}}\right) b^{4} \left(b \coth \left(d x +c \right)\right)^{\frac{7}{2}}\right)}{21 d \,b^{\frac{15}{2}} \left(b \left(\coth^{3}\left(d x +c \right)\right)\right)^{\frac{3}{2}}}"," ",0,"1/21/d*coth(d*x+c)/b^(15/2)*(-14*b^(15/2)*coth(d*x+c)^2-6*b^(15/2)+21*arctanh((b*coth(d*x+c))^(1/2)/b^(1/2))*b^4*(b*coth(d*x+c))^(7/2)+21*arctan((b*coth(d*x+c))^(1/2)/b^(1/2))*b^4*(b*coth(d*x+c))^(7/2))/(b*coth(d*x+c)^3)^(3/2)","A"
33,1,145,66,0.400000," ","int((b*coth(d*x+c)^3)^(4/3),x)","\frac{b \left({\mathrm e}^{2 d x +2 c}-1\right) \left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} x}{1+{\mathrm e}^{2 d x +2 c}}-\frac{4 b \left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left(3 \,{\mathrm e}^{4 d x +4 c}-3 \,{\mathrm e}^{2 d x +2 c}+2\right)}{3 \left(1+{\mathrm e}^{2 d x +2 c}\right) \left({\mathrm e}^{2 d x +2 c}-1\right)^{2} d}"," ",0,"b/(1+exp(2*d*x+2*c))*(exp(2*d*x+2*c)-1)*(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)*x-4/3*b/(1+exp(2*d*x+2*c))/(exp(2*d*x+2*c)-1)^2*(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)*(3*exp(4*d*x+4*c)-3*exp(2*d*x+2*c)+2)/d","B"
34,1,119,46,0.396000," ","int((b*coth(d*x+c)^3)^(2/3),x)","\frac{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{2}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2} x}{\left(1+{\mathrm e}^{2 d x +2 c}\right)^{2}}-\frac{2 \left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{2}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right)}{\left(1+{\mathrm e}^{2 d x +2 c}\right)^{2} d}"," ",0,"(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(2/3)/(1+exp(2*d*x+2*c))^2*(exp(2*d*x+2*c)-1)^2*x-2*(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(2/3)/(1+exp(2*d*x+2*c))^2*(exp(2*d*x+2*c)-1)/d","B"
35,1,192,29,0.385000," ","int((b*coth(d*x+c)^3)^(1/3),x)","\frac{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right) x}{1+{\mathrm e}^{2 d x +2 c}}-\frac{2 \left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right) \left(d x +c \right)}{\left(1+{\mathrm e}^{2 d x +2 c}\right) d}+\frac{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right) \ln \left({\mathrm e}^{2 d x +2 c}-1\right)}{\left(1+{\mathrm e}^{2 d x +2 c}\right) d}"," ",0,"(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)/(1+exp(2*d*x+2*c))*(exp(2*d*x+2*c)-1)*x-2*(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)/(1+exp(2*d*x+2*c))*(exp(2*d*x+2*c)-1)/d*(d*x+c)+(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)/(1+exp(2*d*x+2*c))*(exp(2*d*x+2*c)-1)/d*ln(exp(2*d*x+2*c)-1)","B"
36,1,192,29,0.414000," ","int(1/(b*coth(d*x+c)^3)^(1/3),x)","\frac{\left(1+{\mathrm e}^{2 d x +2 c}\right) x}{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right)}-\frac{2 \left(1+{\mathrm e}^{2 d x +2 c}\right) \left(d x +c \right)}{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right) d}+\frac{\left(1+{\mathrm e}^{2 d x +2 c}\right) \ln \left(1+{\mathrm e}^{2 d x +2 c}\right)}{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right) d}"," ",0,"1/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)/(exp(2*d*x+2*c)-1)*(1+exp(2*d*x+2*c))*x-2/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)/(exp(2*d*x+2*c)-1)*(1+exp(2*d*x+2*c))/d*(d*x+c)+1/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)/(exp(2*d*x+2*c)-1)*(1+exp(2*d*x+2*c))/d*ln(1+exp(2*d*x+2*c))","B"
37,1,119,46,0.395000," ","int(1/(b*coth(d*x+c)^3)^(2/3),x)","\frac{\left(1+{\mathrm e}^{2 d x +2 c}\right)^{2} x}{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{2}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2}}+\frac{2+2 \,{\mathrm e}^{2 d x +2 c}}{\left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{2}{3}} \left({\mathrm e}^{2 d x +2 c}-1\right)^{2} d}"," ",0,"1/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(2/3)/(exp(2*d*x+2*c)-1)^2*(1+exp(2*d*x+2*c))^2*x+2/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(2/3)/(exp(2*d*x+2*c)-1)^2*(1+exp(2*d*x+2*c))/d","B"
38,1,149,72,0.390000," ","int(1/(b*coth(d*x+c)^3)^(4/3),x)","\frac{\left(1+{\mathrm e}^{2 d x +2 c}\right) x}{b \left({\mathrm e}^{2 d x +2 c}-1\right) \left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}}}+\frac{4 \,{\mathrm e}^{4 d x +4 c}+4 \,{\mathrm e}^{2 d x +2 c}+\frac{8}{3}}{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{2} \left({\mathrm e}^{2 d x +2 c}-1\right) \left(\frac{b \left(1+{\mathrm e}^{2 d x +2 c}\right)^{3}}{\left({\mathrm e}^{2 d x +2 c}-1\right)^{3}}\right)^{\frac{1}{3}} d}"," ",0,"1/b*(1+exp(2*d*x+2*c))/(exp(2*d*x+2*c)-1)/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)*x+4/3/b/(1+exp(2*d*x+2*c))^2/(exp(2*d*x+2*c)-1)/(b*(1+exp(2*d*x+2*c))^3/(exp(2*d*x+2*c)-1)^3)^(1/3)*(3*exp(4*d*x+4*c)+3*exp(2*d*x+2*c)+2)/d","B"
39,0,0,51,0.665000," ","int((b*coth(d*x+c)^4)^n,x)","\int \left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{n}\, dx"," ",0,"int((b*coth(d*x+c)^4)^n,x)","F"
40,1,77,98,0.165000," ","int((b*coth(d*x+c)^4)^(3/2),x)","-\frac{\left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{3}{2}} \left(6 \left(\coth^{5}\left(d x +c \right)\right)+10 \left(\coth^{3}\left(d x +c \right)\right)+15 \ln \left(\coth \left(d x +c \right)-1\right)-15 \ln \left(\coth \left(d x +c \right)+1\right)+30 \coth \left(d x +c \right)\right)}{30 d \coth \left(d x +c \right)^{6}}"," ",0,"-1/30/d*(b*coth(d*x+c)^4)^(3/2)*(6*coth(d*x+c)^5+10*coth(d*x+c)^3+15*ln(coth(d*x+c)-1)-15*ln(coth(d*x+c)+1)+30*coth(d*x+c))/coth(d*x+c)^6","A"
41,1,55,46,0.157000," ","int((b*coth(d*x+c)^4)^(1/2),x)","-\frac{\sqrt{b \left(\coth^{4}\left(d x +c \right)\right)}\, \left(2 \coth \left(d x +c \right)+\ln \left(\coth \left(d x +c \right)-1\right)-\ln \left(\coth \left(d x +c \right)+1\right)\right)}{2 d \coth \left(d x +c \right)^{2}}"," ",0,"-1/2/d*(b*coth(d*x+c)^4)^(1/2)*(2*coth(d*x+c)+ln(coth(d*x+c)-1)-ln(coth(d*x+c)+1))/coth(d*x+c)^2","A"
42,1,59,46,0.180000," ","int(1/(b*coth(d*x+c)^4)^(1/2),x)","-\frac{\coth \left(d x +c \right) \left(\ln \left(\coth \left(d x +c \right)-1\right) \coth \left(d x +c \right)-\ln \left(\coth \left(d x +c \right)+1\right) \coth \left(d x +c \right)+2\right)}{2 d \sqrt{b \left(\coth^{4}\left(d x +c \right)\right)}}"," ",0,"-1/2/d*coth(d*x+c)*(ln(coth(d*x+c)-1)*coth(d*x+c)-ln(coth(d*x+c)+1)*coth(d*x+c)+2)/(b*coth(d*x+c)^4)^(1/2)","A"
43,1,84,106,0.130000," ","int(1/(b*coth(d*x+c)^4)^(3/2),x)","-\frac{\coth \left(d x +c \right) \left(15 \ln \left(\coth \left(d x +c \right)-1\right) \left(\coth^{5}\left(d x +c \right)\right)-15 \ln \left(\coth \left(d x +c \right)+1\right) \left(\coth^{5}\left(d x +c \right)\right)+30 \left(\coth^{4}\left(d x +c \right)\right)+10 \left(\coth^{2}\left(d x +c \right)\right)+6\right)}{30 d \left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{3}{2}}}"," ",0,"-1/30/d*coth(d*x+c)*(15*ln(coth(d*x+c)-1)*coth(d*x+c)^5-15*ln(coth(d*x+c)+1)*coth(d*x+c)^5+30*coth(d*x+c)^4+10*coth(d*x+c)^2+6)/(b*coth(d*x+c)^4)^(3/2)","A"
44,0,0,295,0.367000," ","int((b*coth(d*x+c)^4)^(4/3),x)","\int \left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^4)^(4/3),x)","F"
45,0,0,239,0.370000," ","int((b*coth(d*x+c)^4)^(2/3),x)","\int \left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^4)^(2/3),x)","F"
46,0,0,239,0.371000," ","int((b*coth(d*x+c)^4)^(1/3),x)","\int \left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^4)^(1/3),x)","F"
47,0,0,239,0.371000," ","int(1/(b*coth(d*x+c)^4)^(1/3),x)","\int \frac{1}{\left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^4)^(1/3),x)","F"
48,0,0,239,0.379000," ","int(1/(b*coth(d*x+c)^4)^(2/3),x)","\int \frac{1}{\left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^4)^(2/3),x)","F"
49,0,0,311,0.380000," ","int(1/(b*coth(d*x+c)^4)^(4/3),x)","\int \frac{1}{\left(b \left(\coth^{4}\left(d x +c \right)\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^4)^(4/3),x)","F"
50,0,0,53,5.401000," ","int((b*coth(d*x+c)^m)^n,x)","\int \left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{n}\, dx"," ",0,"int((b*coth(d*x+c)^m)^n,x)","F"
51,0,0,57,1.567000," ","int((b*coth(d*x+c)^m)^(3/2),x)","\int \left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((b*coth(d*x+c)^m)^(3/2),x)","F"
52,0,0,50,0.551000," ","int((b*coth(d*x+c)^m)^(1/2),x)","\int \sqrt{b \left(\coth^{m}\left(d x +c \right)\right)}\, dx"," ",0,"int((b*coth(d*x+c)^m)^(1/2),x)","F"
53,0,0,52,0.662000," ","int(1/(b*coth(d*x+c)^m)^(1/2),x)","\int \frac{1}{\sqrt{b \left(\coth^{m}\left(d x +c \right)\right)}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^m)^(1/2),x)","F"
54,0,0,61,0.566000," ","int(1/(b*coth(d*x+c)^m)^(3/2),x)","\int \frac{1}{\left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^m)^(3/2),x)","F"
55,0,0,57,0.391000," ","int((b*coth(d*x+c)^m)^(4/3),x)","\int \left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^m)^(4/3),x)","F"
56,0,0,52,0.418000," ","int((b*coth(d*x+c)^m)^(2/3),x)","\int \left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^m)^(2/3),x)","F"
57,0,0,50,0.394000," ","int((b*coth(d*x+c)^m)^(1/3),x)","\int \left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((b*coth(d*x+c)^m)^(1/3),x)","F"
58,0,0,52,0.451000," ","int(1/(b*coth(d*x+c)^m)^(1/3),x)","\int \frac{1}{\left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^m)^(1/3),x)","F"
59,0,0,52,0.457000," ","int(1/(b*coth(d*x+c)^m)^(2/3),x)","\int \frac{1}{\left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^m)^(2/3),x)","F"
60,0,0,61,0.423000," ","int(1/(b*coth(d*x+c)^m)^(4/3),x)","\int \frac{1}{\left(b \left(\coth^{m}\left(d x +c \right)\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*coth(d*x+c)^m)^(4/3),x)","F"
61,1,31,37,0.012000," ","int((1+coth(x))^5,x)","-\frac{\left(\coth^{4}\left(x \right)\right)}{4}-\frac{5 \left(\coth^{3}\left(x \right)\right)}{3}-\frac{11 \left(\coth^{2}\left(x \right)\right)}{2}-15 \coth \left(x \right)-16 \ln \left(\coth \left(x \right)-1\right)"," ",0,"-1/4*coth(x)^4-5/3*coth(x)^3-11/2*coth(x)^2-15*coth(x)-16*ln(coth(x)-1)","A"
62,1,25,29,0.013000," ","int((1+coth(x))^4,x)","-\frac{\left(\coth^{3}\left(x \right)\right)}{3}-2 \left(\coth^{2}\left(x \right)\right)-7 \coth \left(x \right)-8 \ln \left(\coth \left(x \right)-1\right)"," ",0,"-1/3*coth(x)^3-2*coth(x)^2-7*coth(x)-8*ln(coth(x)-1)","A"
63,1,19,21,0.011000," ","int((1+coth(x))^3,x)","-\frac{\left(\coth^{2}\left(x \right)\right)}{2}-3 \coth \left(x \right)-4 \ln \left(\coth \left(x \right)-1\right)"," ",0,"-1/2*coth(x)^2-3*coth(x)-4*ln(coth(x)-1)","A"
64,1,13,13,0.013000," ","int((1+coth(x))^2,x)","-\coth \left(x \right)-2 \ln \left(\coth \left(x \right)-1\right)"," ",0,"-coth(x)-2*ln(coth(x)-1)","A"
65,1,24,12,0.047000," ","int(1/(1+coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\coth \left(x \right)\right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{4}"," ",0,"-1/4*ln(coth(x)-1)-1/2/(1+coth(x))+1/4*ln(1+coth(x))","A"
66,1,32,20,0.050000," ","int(1/(1+coth(x))^2,x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{8}-\frac{1}{4 \left(1+\coth \left(x \right)\right)^{2}}-\frac{1}{4 \left(1+\coth \left(x \right)\right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{8}"," ",0,"-1/8*ln(coth(x)-1)-1/4/(1+coth(x))^2-1/4/(1+coth(x))+1/8*ln(1+coth(x))","A"
67,1,40,28,0.051000," ","int(1/(1+coth(x))^3,x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{16}-\frac{1}{6 \left(1+\coth \left(x \right)\right)^{3}}-\frac{1}{8 \left(1+\coth \left(x \right)\right)^{2}}-\frac{1}{8 \left(1+\coth \left(x \right)\right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{16}"," ",0,"-1/16*ln(coth(x)-1)-1/6/(1+coth(x))^3-1/8/(1+coth(x))^2-1/8/(1+coth(x))+1/16*ln(1+coth(x))","A"
68,1,48,36,0.054000," ","int(1/(1+coth(x))^4,x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{32}-\frac{1}{8 \left(1+\coth \left(x \right)\right)^{4}}-\frac{1}{12 \left(1+\coth \left(x \right)\right)^{3}}-\frac{1}{16 \left(1+\coth \left(x \right)\right)^{2}}-\frac{1}{16 \left(1+\coth \left(x \right)\right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{32}"," ",0,"-1/32*ln(coth(x)-1)-1/8/(1+coth(x))^4-1/12/(1+coth(x))^3-1/16/(1+coth(x))^2-1/16/(1+coth(x))+1/32*ln(1+coth(x))","A"
69,1,56,44,0.054000," ","int(1/(1+coth(x))^5,x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{64}-\frac{1}{10 \left(1+\coth \left(x \right)\right)^{5}}-\frac{1}{16 \left(1+\coth \left(x \right)\right)^{4}}-\frac{1}{24 \left(1+\coth \left(x \right)\right)^{3}}-\frac{1}{32 \left(1+\coth \left(x \right)\right)^{2}}-\frac{1}{32 \left(1+\coth \left(x \right)\right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{64}"," ",0,"-1/64*ln(coth(x)-1)-1/10/(1+coth(x))^5-1/16/(1+coth(x))^4-1/24/(1+coth(x))^3-1/32/(1+coth(x))^2-1/32/(1+coth(x))+1/64*ln(1+coth(x))","A"
70,1,43,42,0.076000," ","int((1+coth(x))^(7/2),x)","-\frac{4 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}{3}-\frac{2 \left(1+\coth \left(x \right)\right)^{\frac{5}{2}}}{5}+8 \arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-8 \sqrt{1+\coth \left(x \right)}"," ",0,"-4/3*(1+coth(x))^(3/2)-2/5*(1+coth(x))^(5/2)+8*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-8*(1+coth(x))^(1/2)","A"
71,1,35,34,0.063000," ","int((1+coth(x))^(5/2),x)","-\frac{2 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}{3}+4 \arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-4 \sqrt{1+\coth \left(x \right)}"," ",0,"-2/3*(1+coth(x))^(3/2)+4*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-4*(1+coth(x))^(1/2)","A"
72,1,27,26,0.065000," ","int((1+coth(x))^(3/2),x)","2 \arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\coth \left(x \right)}"," ",0,"2*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+coth(x))^(1/2)","A"
73,1,17,16,0.082000," ","int((1+coth(x))^(1/2),x)","\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}"," ",0,"arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)","A"
74,1,27,26,0.079000," ","int(1/(1+coth(x))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{2}-\frac{1}{\sqrt{1+\coth \left(x \right)}}"," ",0,"1/2*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-1/(1+coth(x))^(1/2)","A"
75,1,35,34,0.072000," ","int(1/(1+coth(x))^(3/2),x)","-\frac{1}{3 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}+\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{4}-\frac{1}{2 \sqrt{1+\coth \left(x \right)}}"," ",0,"-1/3/(1+coth(x))^(3/2)+1/4*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-1/2/(1+coth(x))^(1/2)","A"
76,1,43,42,0.072000," ","int(1/(1+coth(x))^(5/2),x)","-\frac{1}{5 \left(1+\coth \left(x \right)\right)^{\frac{5}{2}}}-\frac{1}{6 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}+\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{8}-\frac{1}{4 \sqrt{1+\coth \left(x \right)}}"," ",0,"-1/5/(1+coth(x))^(5/2)-1/6/(1+coth(x))^(3/2)+1/8*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-1/4/(1+coth(x))^(1/2)","A"
77,1,322,136,0.016000," ","int((a+b*coth(d*x+c))^5,x)","\frac{\ln \left(\coth \left(d x +c \right)+1\right) a^{5}}{2 d}-\frac{5 \ln \left(\coth \left(d x +c \right)+1\right) a^{4} b}{2 d}+\frac{5 \ln \left(\coth \left(d x +c \right)+1\right) a^{3} b^{2}}{d}-\frac{5 \ln \left(\coth \left(d x +c \right)+1\right) a^{2} b^{3}}{d}+\frac{5 \ln \left(\coth \left(d x +c \right)+1\right) a \,b^{4}}{2 d}-\frac{\ln \left(\coth \left(d x +c \right)+1\right) b^{5}}{2 d}-\frac{\left(\coth^{2}\left(d x +c \right)\right) b^{5}}{2 d}-\frac{5 \left(\coth^{3}\left(d x +c \right)\right) a \,b^{4}}{3 d}-\frac{5 \left(\coth^{2}\left(d x +c \right)\right) a^{2} b^{3}}{d}-\frac{5 a \,b^{4} \coth \left(d x +c \right)}{d}-\frac{10 a^{3} b^{2} \coth \left(d x +c \right)}{d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) a^{5}}{2 d}-\frac{5 \ln \left(\coth \left(d x +c \right)-1\right) a^{4} b}{2 d}-\frac{5 \ln \left(\coth \left(d x +c \right)-1\right) a^{3} b^{2}}{d}-\frac{5 \ln \left(\coth \left(d x +c \right)-1\right) a^{2} b^{3}}{d}-\frac{5 \ln \left(\coth \left(d x +c \right)-1\right) a \,b^{4}}{2 d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) b^{5}}{2 d}-\frac{b^{5} \left(\coth^{4}\left(d x +c \right)\right)}{4 d}"," ",0,"1/2/d*ln(coth(d*x+c)+1)*a^5-5/2/d*ln(coth(d*x+c)+1)*a^4*b+5/d*ln(coth(d*x+c)+1)*a^3*b^2-5/d*ln(coth(d*x+c)+1)*a^2*b^3+5/2/d*ln(coth(d*x+c)+1)*a*b^4-1/2/d*ln(coth(d*x+c)+1)*b^5-1/2/d*coth(d*x+c)^2*b^5-5/3/d*coth(d*x+c)^3*a*b^4-5/d*coth(d*x+c)^2*a^2*b^3-5/d*a*b^4*coth(d*x+c)-10/d*a^3*b^2*coth(d*x+c)-1/2/d*ln(coth(d*x+c)-1)*a^5-5/2/d*ln(coth(d*x+c)-1)*a^4*b-5/d*ln(coth(d*x+c)-1)*a^3*b^2-5/d*ln(coth(d*x+c)-1)*a^2*b^3-5/2/d*ln(coth(d*x+c)-1)*a*b^4-1/2/d*ln(coth(d*x+c)-1)*b^5-1/4/d*b^5*coth(d*x+c)^4","B"
78,1,246,99,0.017000," ","int((a+b*coth(d*x+c))^4,x)","-\frac{b^{4} \left(\coth^{3}\left(d x +c \right)\right)}{3 d}-\frac{2 \left(\coth^{2}\left(d x +c \right)\right) a \,b^{3}}{d}-\frac{6 \coth \left(d x +c \right) a^{2} b^{2}}{d}-\frac{\coth \left(d x +c \right) b^{4}}{d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) a^{4}}{2 d}-\frac{2 \ln \left(\coth \left(d x +c \right)-1\right) a^{3} b}{d}-\frac{3 \ln \left(\coth \left(d x +c \right)-1\right) a^{2} b^{2}}{d}-\frac{2 \ln \left(\coth \left(d x +c \right)-1\right) a \,b^{3}}{d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) b^{4}}{2 d}+\frac{\ln \left(\coth \left(d x +c \right)+1\right) a^{4}}{2 d}-\frac{2 \ln \left(\coth \left(d x +c \right)+1\right) a^{3} b}{d}+\frac{3 \ln \left(\coth \left(d x +c \right)+1\right) a^{2} b^{2}}{d}-\frac{2 \ln \left(\coth \left(d x +c \right)+1\right) a \,b^{3}}{d}+\frac{\ln \left(\coth \left(d x +c \right)+1\right) b^{4}}{2 d}"," ",0,"-1/3/d*b^4*coth(d*x+c)^3-2/d*coth(d*x+c)^2*a*b^3-6/d*coth(d*x+c)*a^2*b^2-1/d*coth(d*x+c)*b^4-1/2/d*ln(coth(d*x+c)-1)*a^4-2/d*ln(coth(d*x+c)-1)*a^3*b-3/d*ln(coth(d*x+c)-1)*a^2*b^2-2/d*ln(coth(d*x+c)-1)*a*b^3-1/2/d*ln(coth(d*x+c)-1)*b^4+1/2/d*ln(coth(d*x+c)+1)*a^4-2/d*ln(coth(d*x+c)+1)*a^3*b+3/d*ln(coth(d*x+c)+1)*a^2*b^2-2/d*ln(coth(d*x+c)+1)*a*b^3+1/2/d*ln(coth(d*x+c)+1)*b^4","B"
79,1,173,67,0.016000," ","int((a+b*coth(d*x+c))^3,x)","-\frac{\left(\coth^{2}\left(d x +c \right)\right) b^{3}}{2 d}-\frac{3 a \,b^{2} \coth \left(d x +c \right)}{d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) a^{3}}{2 d}-\frac{3 \ln \left(\coth \left(d x +c \right)-1\right) a^{2} b}{2 d}-\frac{3 \ln \left(\coth \left(d x +c \right)-1\right) a \,b^{2}}{2 d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) b^{3}}{2 d}+\frac{\ln \left(\coth \left(d x +c \right)+1\right) a^{3}}{2 d}-\frac{3 \ln \left(\coth \left(d x +c \right)+1\right) a^{2} b}{2 d}+\frac{3 \ln \left(\coth \left(d x +c \right)+1\right) a \,b^{2}}{2 d}-\frac{\ln \left(\coth \left(d x +c \right)+1\right) b^{3}}{2 d}"," ",0,"-1/2/d*coth(d*x+c)^2*b^3-3*a*b^2*coth(d*x+c)/d-1/2/d*ln(coth(d*x+c)-1)*a^3-3/2/d*ln(coth(d*x+c)-1)*a^2*b-3/2/d*ln(coth(d*x+c)-1)*a*b^2-1/2/d*ln(coth(d*x+c)-1)*b^3+1/2/d*ln(coth(d*x+c)+1)*a^3-3/2/d*ln(coth(d*x+c)+1)*a^2*b+3/2/d*ln(coth(d*x+c)+1)*a*b^2-1/2/d*ln(coth(d*x+c)+1)*b^3","B"
80,1,116,38,0.019000," ","int((a+b*coth(d*x+c))^2,x)","-\frac{b^{2} \coth \left(d x +c \right)}{d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) a^{2}}{2 d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) a b}{d}-\frac{\ln \left(\coth \left(d x +c \right)-1\right) b^{2}}{2 d}+\frac{\ln \left(\coth \left(d x +c \right)+1\right) a^{2}}{2 d}-\frac{\ln \left(\coth \left(d x +c \right)+1\right) a b}{d}+\frac{\ln \left(\coth \left(d x +c \right)+1\right) b^{2}}{2 d}"," ",0,"-b^2*coth(d*x+c)/d-1/2/d*ln(coth(d*x+c)-1)*a^2-1/d*ln(coth(d*x+c)-1)*a*b-1/2/d*ln(coth(d*x+c)-1)*b^2+1/2/d*ln(coth(d*x+c)+1)*a^2-1/d*ln(coth(d*x+c)+1)*a*b+1/2/d*ln(coth(d*x+c)+1)*b^2","B"
81,1,76,50,0.107000," ","int(1/(a+b*coth(d*x+c)),x)","-\frac{\ln \left(\coth \left(d x +c \right)-1\right)}{d \left(2 b +2 a \right)}+\frac{\ln \left(\coth \left(d x +c \right)+1\right)}{d \left(2 a -2 b \right)}-\frac{b \ln \left(a +b \coth \left(d x +c \right)\right)}{d \left(a -b \right) \left(a +b \right)}"," ",0,"-1/d/(2*b+2*a)*ln(coth(d*x+c)-1)+1/d/(2*a-2*b)*ln(coth(d*x+c)+1)-1/d*b/(a-b)/(a+b)*ln(a+b*coth(d*x+c))","A"
82,1,101,85,0.122000," ","int(1/(a+b*coth(d*x+c))^2,x)","-\frac{\ln \left(\coth \left(d x +c \right)-1\right)}{2 d \left(a +b \right)^{2}}+\frac{\ln \left(\coth \left(d x +c \right)+1\right)}{2 d \left(a -b \right)^{2}}+\frac{b}{d \left(a -b \right) \left(a +b \right) \left(a +b \coth \left(d x +c \right)\right)}-\frac{2 a b \ln \left(a +b \coth \left(d x +c \right)\right)}{d \left(a +b \right)^{2} \left(a -b \right)^{2}}"," ",0,"-1/2/d/(a+b)^2*ln(coth(d*x+c)-1)+1/2/d/(a-b)^2*ln(coth(d*x+c)+1)+1/d*b/(a-b)/(a+b)/(a+b*coth(d*x+c))-2/d*a*b/(a+b)^2/(a-b)^2*ln(a+b*coth(d*x+c))","A"
83,1,166,127,0.124000," ","int(1/(a+b*coth(d*x+c))^3,x)","-\frac{\ln \left(\coth \left(d x +c \right)-1\right)}{2 d \left(a +b \right)^{3}}+\frac{\ln \left(\coth \left(d x +c \right)+1\right)}{2 d \left(a -b \right)^{3}}+\frac{b}{2 d \left(a -b \right) \left(a +b \right) \left(a +b \coth \left(d x +c \right)\right)^{2}}+\frac{2 a b}{d \left(a +b \right)^{2} \left(a -b \right)^{2} \left(a +b \coth \left(d x +c \right)\right)}-\frac{3 b \ln \left(a +b \coth \left(d x +c \right)\right) a^{2}}{d \left(a +b \right)^{3} \left(a -b \right)^{3}}-\frac{b^{3} \ln \left(a +b \coth \left(d x +c \right)\right)}{d \left(a +b \right)^{3} \left(a -b \right)^{3}}"," ",0,"-1/2/d/(a+b)^3*ln(coth(d*x+c)-1)+1/2/d/(a-b)^3*ln(coth(d*x+c)+1)+1/2/d*b/(a-b)/(a+b)/(a+b*coth(d*x+c))^2+2/d*a*b/(a+b)^2/(a-b)^2/(a+b*coth(d*x+c))-3/d*b/(a+b)^3/(a-b)^3*ln(a+b*coth(d*x+c))*a^2-1/d*b^3/(a+b)^3/(a-b)^3*ln(a+b*coth(d*x+c))","A"
84,1,230,167,0.128000," ","int(1/(a+b*coth(d*x+c))^4,x)","-\frac{\ln \left(\coth \left(d x +c \right)-1\right)}{2 d \left(a +b \right)^{4}}+\frac{\ln \left(\coth \left(d x +c \right)+1\right)}{2 d \left(a -b \right)^{4}}+\frac{b}{3 d \left(a -b \right) \left(a +b \right) \left(a +b \coth \left(d x +c \right)\right)^{3}}+\frac{a b}{d \left(a +b \right)^{2} \left(a -b \right)^{2} \left(a +b \coth \left(d x +c \right)\right)^{2}}+\frac{3 b \,a^{2}}{d \left(a +b \right)^{3} \left(a -b \right)^{3} \left(a +b \coth \left(d x +c \right)\right)}+\frac{b^{3}}{d \left(a +b \right)^{3} \left(a -b \right)^{3} \left(a +b \coth \left(d x +c \right)\right)}-\frac{4 b \,a^{3} \ln \left(a +b \coth \left(d x +c \right)\right)}{d \left(a +b \right)^{4} \left(a -b \right)^{4}}-\frac{4 b^{3} a \ln \left(a +b \coth \left(d x +c \right)\right)}{d \left(a +b \right)^{4} \left(a -b \right)^{4}}"," ",0,"-1/2/d/(a+b)^4*ln(coth(d*x+c)-1)+1/2/d/(a-b)^4*ln(coth(d*x+c)+1)+1/3/d*b/(a-b)/(a+b)/(a+b*coth(d*x+c))^3+1/d*a*b/(a+b)^2/(a-b)^2/(a+b*coth(d*x+c))^2+3/d*b/(a+b)^3/(a-b)^3/(a+b*coth(d*x+c))*a^2+1/d*b^3/(a+b)^3/(a-b)^3/(a+b*coth(d*x+c))-4/d*b*a^3/(a+b)^4/(a-b)^4*ln(a+b*coth(d*x+c))-4/d*b^3*a/(a+b)^4/(a-b)^4*ln(a+b*coth(d*x+c))","A"
85,1,46,27,0.110000," ","int(1/(4+6*coth(d*x+c)),x)","-\frac{\ln \left(\coth \left(d x +c \right)-1\right)}{20 d}-\frac{\ln \left(\coth \left(d x +c \right)+1\right)}{4 d}+\frac{3 \ln \left(2+3 \coth \left(d x +c \right)\right)}{10 d}"," ",0,"-1/20/d*ln(coth(d*x+c)-1)-1/4/d*ln(coth(d*x+c)+1)+3/10/d*ln(2+3*coth(d*x+c))","A"
86,1,46,27,0.108000," ","int(1/(4-6*coth(d*x+c)),x)","\frac{\ln \left(\coth \left(d x +c \right)-1\right)}{4 d}+\frac{\ln \left(\coth \left(d x +c \right)+1\right)}{20 d}-\frac{3 \ln \left(-2+3 \coth \left(d x +c \right)\right)}{10 d}"," ",0,"1/4/d*ln(coth(d*x+c)-1)+1/20/d*ln(coth(d*x+c)+1)-3/10/d*ln(-2+3*coth(d*x+c))","A"
87,1,63,62,0.194000," ","int((a+b*coth(d*x+c))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{a +b \coth \left(d x +c \right)}}{\sqrt{a +b}}\right) \sqrt{a +b}}{d}-\frac{\sqrt{-a +b}\, \arctan \left(\frac{\sqrt{a +b \coth \left(d x +c \right)}}{\sqrt{-a +b}}\right)}{d}"," ",0,"arctanh((a+b*coth(d*x+c))^(1/2)/(a+b)^(1/2))*(a+b)^(1/2)/d-1/d*(-a+b)^(1/2)*arctan((a+b*coth(d*x+c))^(1/2)/(-a+b)^(1/2))","A"
88,1,62,62,0.114000," ","int(1/(a+b*coth(d*x+c))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{a +b \coth \left(d x +c \right)}}{\sqrt{a +b}}\right)}{d \sqrt{a +b}}+\frac{\arctan \left(\frac{\sqrt{a +b \coth \left(d x +c \right)}}{\sqrt{-a +b}}\right)}{d \sqrt{-a +b}}"," ",0,"arctanh((a+b*coth(d*x+c))^(1/2)/(a+b)^(1/2))/d/(a+b)^(1/2)+1/d/(-a+b)^(1/2)*arctan((a+b*coth(d*x+c))^(1/2)/(-a+b)^(1/2))","A"
89,1,110,48,0.092000," ","int(sinh(x)^4/(1+coth(x)),x)","\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{16}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{5}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5}{12 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{16}"," ",0,"1/8/(tanh(1/2*x)-1)^4+1/4/(tanh(1/2*x)-1)^3-1/8/(tanh(1/2*x)-1)^2-1/4/(tanh(1/2*x)-1)-5/16*ln(tanh(1/2*x)-1)+1/3/(tanh(1/2*x)+1)^6-1/(tanh(1/2*x)+1)^5+5/8/(tanh(1/2*x)+1)^4+5/12/(tanh(1/2*x)+1)^3-3/8/(tanh(1/2*x)+1)+5/16*ln(tanh(1/2*x)+1)","B"
90,1,80,23,0.093000," ","int(sinh(x)^3/(1+coth(x)),x)","-\frac{1}{6 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2}{5 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{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{3}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/6/(tanh(1/2*x)-1)^3-1/4/(tanh(1/2*x)-1)^2+3/8/(tanh(1/2*x)-1)-2/5/(tanh(1/2*x)+1)^5+1/(tanh(1/2*x)+1)^4-1/3/(tanh(1/2*x)+1)^3-1/2/(tanh(1/2*x)+1)^2-3/8/(tanh(1/2*x)+1)","B"
91,1,70,30,0.092000," ","int(sinh(x)^2/(1+coth(x)),x)","\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{4 \tanh \left(\frac{x}{2}\right)-4}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8}"," ",0,"1/4/(tanh(1/2*x)-1)^2+1/4/(tanh(1/2*x)-1)+3/8*ln(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)+1)^4-1/(tanh(1/2*x)+1)^3+1/2/(tanh(1/2*x)+1)-3/8*ln(tanh(1/2*x)+1)","B"
92,1,40,15,0.088000," ","int(sinh(x)/(1+coth(x)),x)","-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}"," ",0,"-1/2/(tanh(1/2*x)-1)-2/3/(tanh(1/2*x)+1)^3+1/(tanh(1/2*x)+1)^2+1/2/(tanh(1/2*x)+1)","B"
93,1,11,10,0.012000," ","int(csch(x)/(1+coth(x)),x)","-\frac{\mathrm{csch}\left(x \right)}{1+\coth \left(x \right)}"," ",0,"-csch(x)/(1+coth(x))","A"
94,1,8,7,0.073000," ","int(csch(x)^2/(1+coth(x)),x)","-\ln \left(1+\coth \left(x \right)\right)"," ",0,"-ln(1+coth(x))","A"
95,1,23,8,0.088000," ","int(csch(x)^3/(1+coth(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{2}-\frac{1}{2 \tanh \left(\frac{x}{2}\right)}-\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"1/2*tanh(1/2*x)-1/2/tanh(1/2*x)-ln(tanh(1/2*x))","B"
96,1,32,9,0.100000," ","int(csch(x)^4/(1+coth(x)),x)","-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{\tanh \left(\frac{x}{2}\right)}{2}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}"," ",0,"-1/8*tanh(1/2*x)^2+1/2*tanh(1/2*x)+1/2/tanh(1/2*x)-1/8/tanh(1/2*x)^2","B"
97,1,354,147,0.132000," ","int(sinh(x)^4/(a+b*coth(x)),x)","-\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)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{16}{\left(64 a +64 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{64}{\left(128 a +128 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3 a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{5 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{8 \left(a +b \right)^{3}}-\frac{9 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a b}{8 \left(a +b \right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b^{2}}{\left(a +b \right)^{3}}-\frac{16}{\left(64 a -64 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{64}{\left(128 a -128 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{5 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{8 \left(a -b \right)^{3}}-\frac{9 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a b}{8 \left(a -b \right)^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b^{2}}{\left(a -b \right)^{3}}"," ",0,"-b^5/(a-b)^3/(a+b)^3*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+16/(64*a+64*b)/(tanh(1/2*x)-1)^4+64/(128*a+128*b)/(tanh(1/2*x)-1)^3-1/8/(a+b)^2/(tanh(1/2*x)-1)^2*a-3/8/(a+b)^2/(tanh(1/2*x)-1)^2*b-3/8/(a+b)^2/(tanh(1/2*x)-1)*a-5/8/(a+b)^2/(tanh(1/2*x)-1)*b-3/8/(a+b)^3*ln(tanh(1/2*x)-1)*a^2-9/8/(a+b)^3*ln(tanh(1/2*x)-1)*a*b-1/(a+b)^3*ln(tanh(1/2*x)-1)*b^2-16/(64*a-64*b)/(tanh(1/2*x)+1)^4+64/(128*a-128*b)/(tanh(1/2*x)+1)^3+1/8/(a-b)^2/(tanh(1/2*x)+1)^2*a-3/8/(a-b)^2/(tanh(1/2*x)+1)^2*b-3/8/(a-b)^2/(tanh(1/2*x)+1)*a+5/8/(a-b)^2/(tanh(1/2*x)+1)*b+3/8/(a-b)^3*ln(tanh(1/2*x)+1)*a^2-9/8/(a-b)^3*ln(tanh(1/2*x)+1)*a*b+1/(a-b)^3*ln(tanh(1/2*x)+1)*b^2","B"
98,1,197,126,0.128000," ","int(sinh(x)^3/(a+b*coth(x)),x)","\frac{2 b^{4} \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{-a^{2}+b^{2}}}-\frac{32}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(32 a +32 b \right)}-\frac{16}{\left(32 a +32 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{16}{\left(32 a -32 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{32}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(32 a -32 b \right)}-\frac{a}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"2*b^4/(a-b)^2/(a+b)^2/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))-32/3/(tanh(1/2*x)-1)^3/(32*a+32*b)-16/(32*a+32*b)/(tanh(1/2*x)-1)^2+1/2/(a+b)^2/(tanh(1/2*x)-1)*a+1/(a+b)^2/(tanh(1/2*x)-1)*b-16/(32*a-32*b)/(tanh(1/2*x)+1)^2+32/3/(tanh(1/2*x)+1)^3/(32*a-32*b)-1/2/(a-b)^2/(tanh(1/2*x)+1)*a+1/(a-b)^2/(tanh(1/2*x)+1)*b","A"
99,1,175,86,0.126000," ","int(sinh(x)^2/(a+b*coth(x)),x)","-\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)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{8}{\left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{16}{\left(32 a +32 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{2 \left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{\left(a +b \right)^{2}}-\frac{8}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{16}{\left(32 a -32 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{2 \left(a -b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{\left(a -b \right)^{2}}"," ",0,"-b^3/(a-b)^2/(a+b)^2*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+8/(16*a+16*b)/(tanh(1/2*x)-1)^2+16/(32*a+32*b)/(tanh(1/2*x)-1)+1/2/(a+b)^2*ln(tanh(1/2*x)-1)*a+1/(a+b)^2*ln(tanh(1/2*x)-1)*b-8/(16*a-16*b)/(tanh(1/2*x)+1)^2+16/(32*a-32*b)/(tanh(1/2*x)+1)-1/2/(a-b)^2*ln(tanh(1/2*x)+1)*a+1/(a-b)^2*ln(tanh(1/2*x)+1)*b","B"
100,1,93,69,0.116000," ","int(sinh(x)/(a+b*coth(x)),x)","\frac{2 b^{2} \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{-a^{2}+b^{2}}}+\frac{8}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{8}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}"," ",0,"2*b^2/(a+b)/(a-b)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))+8/(8*a-8*b)/(tanh(1/2*x)+1)-8/(8*a+8*b)/(tanh(1/2*x)-1)","A"
101,1,39,34,0.073000," ","int(csch(x)/(a+b*coth(x)),x)","\frac{2 \arctan \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)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))","A"
102,1,13,12,0.089000," ","int(csch(x)^2/(a+b*coth(x)),x)","-\frac{\ln \left(a +b \coth \left(x \right)\right)}{b}"," ",0,"-ln(a+b*coth(x))/b","A"
103,1,115,53,0.114000," ","int(csch(x)^3/(a+b*coth(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{2 b}+\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right) a^{2}}{b^{2} \sqrt{-a^{2}+b^{2}}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\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/b^2/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))*a^2-2/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))-1/2/b/tanh(1/2*x)-1/b^2*a*ln(tanh(1/2*x))","B"
104,1,116,38,0.124000," ","int(csch(x)^4/(a+b*coth(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(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 a \tanh \left(\frac{x}{2}\right)+b \right) a^{2}}{b^{3}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 a \tanh \left(\frac{x}{2}\right)+b \right)}{b}-\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)}{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/b^3*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)*a^2+1/b*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)-1/8/b/tanh(1/2*x)^2+1/b^3*ln(tanh(1/2*x))*a^2-1/b*ln(tanh(1/2*x))+1/2/b^2*a/tanh(1/2*x)","B"
105,1,118,48,0.099000," ","int(cosh(x)^4/(1+coth(x)),x)","\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{4 \tanh \left(\frac{x}{2}\right)-4}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{16}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{13}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{19}{12 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{16}"," ",0,"1/8/(tanh(1/2*x)-1)^4+1/4/(tanh(1/2*x)-1)^3+3/8/(tanh(1/2*x)-1)^2+1/4/(tanh(1/2*x)-1)-1/16*ln(tanh(1/2*x)-1)+1/3/(tanh(1/2*x)+1)^6-1/(tanh(1/2*x)+1)^5+13/8/(tanh(1/2*x)+1)^4-19/12/(tanh(1/2*x)+1)^3+1/(tanh(1/2*x)+1)^2-3/8/(tanh(1/2*x)+1)+1/16*ln(tanh(1/2*x)+1)","B"
106,1,82,19,0.093000," ","int(cosh(x)^3/(1+coth(x)),x)","-\frac{1}{6 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2}{5 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/6/(tanh(1/2*x)-1)^3-1/4/(tanh(1/2*x)-1)^2-3/8/(tanh(1/2*x)-1)-1/(tanh(1/2*x)+1)^4+2/5/(tanh(1/2*x)+1)^5+4/3/(tanh(1/2*x)+1)^3-1/(tanh(1/2*x)+1)^2+3/8/(tanh(1/2*x)+1)","B"
107,1,78,30,0.094000," ","int(cosh(x)^2/(1+coth(x)),x)","\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{4 \tanh \left(\frac{x}{2}\right)-4}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8}"," ",0,"1/4/(tanh(1/2*x)-1)^2+1/4/(tanh(1/2*x)-1)-1/8*ln(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)+1)^4-1/(tanh(1/2*x)+1)^3+1/(tanh(1/2*x)+1)^2-1/2/(tanh(1/2*x)+1)+1/8*ln(tanh(1/2*x)+1)","B"
108,1,42,13,0.091000," ","int(cosh(x)/(1+coth(x)),x)","-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}"," ",0,"-1/2/(tanh(1/2*x)-1)+2/3/(tanh(1/2*x)+1)^3-1/(tanh(1/2*x)+1)^2+1/2/(tanh(1/2*x)+1)","B"
109,1,19,10,0.095000," ","int(sech(x)/(1+coth(x)),x)","\frac{2}{\tanh \left(\frac{x}{2}\right)+1}+2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2/(tanh(1/2*x)+1)+2*arctan(tanh(1/2*x))","A"
110,1,36,15,0.106000," ","int(sech(x)^2/(1+coth(x)),x)","-2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{2 \tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}+\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)"," ",0,"-2*ln(tanh(1/2*x)+1)+2*tanh(1/2*x)/(tanh(1/2*x)^2+1)+ln(tanh(1/2*x)^2+1)","B"
111,1,45,16,0.106000," ","int(sech(x)^3/(1+coth(x)),x)","\frac{-\left(\tanh^{3}\left(\frac{x}{2}\right)\right)-2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\tanh \left(\frac{x}{2}\right)-2}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\arctan \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"4*(-1/4*tanh(1/2*x)^3-1/2*tanh(1/2*x)^2+1/4*tanh(1/2*x)-1/2)/(tanh(1/2*x)^2+1)^2-arctan(tanh(1/2*x))","B"
112,1,38,13,0.105000," ","int(sech(x)^4/(1+coth(x)),x)","-\frac{4 \left(-\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{2}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-4*(-1/2*tanh(1/2*x)^4+2/3*tanh(1/2*x)^3-1/2*tanh(1/2*x)^2)/(tanh(1/2*x)^2+1)^3","B"
113,0,0,17,0.378000," ","int(sech(x)^2*(1+coth(x))^(1/2),x)","\int \mathrm{sech}\left(x \right)^{2} \sqrt{1+\coth \left(x \right)}\, dx"," ",0,"int(sech(x)^2*(1+coth(x))^(1/2),x)","F"
114,1,319,139,0.132000," ","int(cosh(x)^4/(a+b*coth(x)),x)","-\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 -b \right)^{3} \left(a +b \right)^{3}}+\frac{1}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{7 a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{5 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{5 a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{8 \left(a +b \right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a b}{8 \left(a +b \right)^{3}}-\frac{1}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{5 a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{3 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{7 a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{5 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{8 \left(a -b \right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a b}{8 \left(a -b \right)^{3}}"," ",0,"-a^4*b/(a-b)^3/(a+b)^3*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+1/(4*a+4*b)/(tanh(1/2*x)-1)^4+4/(8*a+8*b)/(tanh(1/2*x)-1)^3+7/8/(a+b)^2/(tanh(1/2*x)-1)^2*a+5/8/(a+b)^2/(tanh(1/2*x)-1)^2*b+5/8/(a+b)^2/(tanh(1/2*x)-1)*a+3/8/(a+b)^2/(tanh(1/2*x)-1)*b-3/8/(a+b)^3*ln(tanh(1/2*x)-1)*a^2-1/8/(a+b)^3*ln(tanh(1/2*x)-1)*a*b-1/(4*a-4*b)/(tanh(1/2*x)+1)^4+4/(8*a-8*b)/(tanh(1/2*x)+1)^3+5/8/(a-b)^2/(tanh(1/2*x)+1)*a-3/8/(a-b)^2/(tanh(1/2*x)+1)*b-7/8/(a-b)^2/(tanh(1/2*x)+1)^2*a+5/8/(a-b)^2/(tanh(1/2*x)+1)^2*b+3/8/(a-b)^3*ln(tanh(1/2*x)+1)*a^2-1/8/(a-b)^3*ln(tanh(1/2*x)+1)*a*b","B"
115,1,200,127,0.131000," ","int(cosh(x)^3/(a+b*coth(x)),x)","-\frac{2 a^{3} b \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{-a^{2}+b^{2}}}-\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(4 a +4 b \right)}-\frac{2}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(4 a -4 b \right)}+\frac{2}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-2*a^3*b/(a-b)^2/(a+b)^2/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))-4/3/(tanh(1/2*x)-1)^3/(4*a+4*b)-2/(4*a+4*b)/(tanh(1/2*x)-1)^2-1/(a+b)^2/(tanh(1/2*x)-1)*a-1/2/(a+b)^2/(tanh(1/2*x)-1)*b-4/3/(tanh(1/2*x)+1)^3/(4*a-4*b)+2/(4*a-4*b)/(tanh(1/2*x)+1)^2-1/(a-b)^2/(tanh(1/2*x)+1)*a+1/2/(a-b)^2/(tanh(1/2*x)+1)*b","A"
116,1,146,79,0.125000," ","int(cosh(x)^2/(a+b*coth(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 -b \right)^{2} \left(a +b \right)^{2}}+\frac{2}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{2 \left(a +b \right)^{2}}-\frac{2}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{2 \left(a -b \right)^{2}}"," ",0,"-a^2*b/(a-b)^2/(a+b)^2*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+2/(4*a+4*b)/(tanh(1/2*x)-1)^2+4/(8*a+8*b)/(tanh(1/2*x)-1)-1/2/(a+b)^2*ln(tanh(1/2*x)-1)*a-2/(4*a-4*b)/(tanh(1/2*x)+1)^2+4/(8*a-8*b)/(tanh(1/2*x)+1)+1/2/(a-b)^2*ln(tanh(1/2*x)+1)*a","A"
117,1,92,68,0.117000," ","int(cosh(x)/(a+b*coth(x)),x)","-\frac{2 a b \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{-a^{2}+b^{2}}}-\frac{4}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{4}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}"," ",0,"-2*a*b/(a+b)/(a-b)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))-4/(4*a-4*b)/(tanh(1/2*x)+1)-4/(4*a+4*b)/(tanh(1/2*x)-1)","A"
118,1,54,46,0.125000," ","int(sech(x)/(a+b*coth(x)),x)","-\frac{2 b \arctan \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{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-2/a*b/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))+2/a*arctan(tanh(1/2*x))","A"
119,1,59,29,0.135000," ","int(sech(x)^2/(a+b*coth(x)),x)","-\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 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}}"," ",0,"-1/a^2*b*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)+1/a^2*b*ln(tanh(1/2*x)^2+1)","A"
120,1,187,75,0.175000," ","int(sech(x)^3/(a+b*coth(x)),x)","-\frac{2 b \arctan \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{2 b^{3} \arctan \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{\tanh^{3}\left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{3}}"," ",0,"-2/a*b/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))+2*b^3/a^3/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))-1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-2/a^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*b+1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)-2/a^2/(tanh(1/2*x)^2+1)^2*b+1/a*arctan(tanh(1/2*x))-2/a^3*arctan(tanh(1/2*x))*b^2","B"
121,1,257,75,0.155000," ","int(sech(x)^4/(a+b*coth(x)),x)","-\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}}+\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \tanh \left(\frac{x}{2}\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) b^{3}}{a^{4}}"," ",0,"-1/a^2*b*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+b^3/a^4*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)+2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5-2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b^2+2/a^2/(tanh(1/2*x)^2+1)^3*b*tanh(1/2*x)^4+4/3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3-4/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*b^2+2/a^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^2*b+2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)-2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b^2+1/a^2*b*ln(tanh(1/2*x)^2+1)-1/a^4*ln(tanh(1/2*x)^2+1)*b^3","B"
122,1,41,26,0.173000," ","int(sech(x)/(I+2*coth(x)),x)","\frac{4 i \sqrt{5}\, \arctan \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+i\right) \sqrt{5}}{5}\right)}{5}+\ln \left(\tanh \left(\frac{x}{2}\right)+i\right)-\ln \left(\tanh \left(\frac{x}{2}\right)-i\right)"," ",0,"4/5*I*5^(1/2)*arctan(1/5*(2*tanh(1/2*x)+I)*5^(1/2))+ln(tanh(1/2*x)+I)-ln(tanh(1/2*x)-I)","A"
123,1,96,35,0.110000," ","int(tanh(x)^4/(1+coth(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{9 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}-\frac{4 \left(\tanh^{5}\left(\frac{x}{2}\right)-\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{2}+\frac{8 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2}+\tanh \left(\frac{x}{2}\right)\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)"," ",0,"-1/2*ln(tanh(1/2*x)-1)+1/(tanh(1/2*x)+1)^2-1/(tanh(1/2*x)+1)+9/2*ln(tanh(1/2*x)+1)-4*(tanh(1/2*x)^5-1/2*tanh(1/2*x)^4+8/3*tanh(1/2*x)^3-1/2*tanh(1/2*x)^2+tanh(1/2*x))/(tanh(1/2*x)^2+1)^3-2*ln(tanh(1/2*x)^2+1)","B"
124,1,80,31,0.108000," ","int(tanh(x)^3/(1+coth(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{7 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)-2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)"," ",0,"-1/2*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)+1)^2+1/(tanh(1/2*x)+1)-7/2*ln(tanh(1/2*x)+1)+2*(tanh(1/2*x)^3-tanh(1/2*x)^2+tanh(1/2*x))/(tanh(1/2*x)^2+1)^2+2*ln(tanh(1/2*x)^2+1)","B"
125,1,65,23,0.097000," ","int(tanh(x)^2/(1+coth(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}-\frac{2 \tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}-\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)"," ",0,"-1/2*ln(tanh(1/2*x)-1)+1/(tanh(1/2*x)+1)^2-1/(tanh(1/2*x)+1)+5/2*ln(tanh(1/2*x)+1)-2*tanh(1/2*x)/(tanh(1/2*x)^2+1)-ln(tanh(1/2*x)^2+1)","B"
126,1,47,15,0.100000," ","int(tanh(x)/(1+coth(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)"," ",0,"-1/2*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)+1)^2+1/(tanh(1/2*x)+1)-3/2*ln(tanh(1/2*x)+1)+ln(tanh(1/2*x)^2+1)","B"
127,1,24,12,0.049000," ","int(1/(1+coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\coth \left(x \right)\right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{4}"," ",0,"-1/4*ln(coth(x)-1)-1/2/(1+coth(x))+1/4*ln(1+coth(x))","A"
128,1,24,12,0.050000," ","int(coth(x)/(1+coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{4}+\frac{1}{2+2 \coth \left(x \right)}+\frac{\ln \left(1+\coth \left(x \right)\right)}{4}"," ",0,"-1/4*ln(coth(x)-1)+1/2/(1+coth(x))+1/4*ln(1+coth(x))","A"
129,1,24,15,0.051000," ","int(coth(x)^2/(1+coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\coth \left(x \right)\right)}-\frac{3 \ln \left(1+\coth \left(x \right)\right)}{4}"," ",0,"-1/4*ln(coth(x)-1)-1/2/(1+coth(x))-3/4*ln(1+coth(x))","A"
130,1,28,25,0.058000," ","int(coth(x)^3/(1+coth(x)),x)","-\coth \left(x \right)-\frac{\ln \left(\coth \left(x \right)-1\right)}{4}+\frac{1}{2+2 \coth \left(x \right)}+\frac{5 \ln \left(1+\coth \left(x \right)\right)}{4}"," ",0,"-coth(x)-1/4*ln(coth(x)-1)+1/2/(1+coth(x))+5/4*ln(1+coth(x))","A"
131,1,32,31,0.067000," ","int(coth(x)^4/(1+coth(x)),x)","-\frac{\left(\coth^{2}\left(x \right)\right)}{2}+\coth \left(x \right)-\frac{\ln \left(\coth \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\coth \left(x \right)\right)}-\frac{7 \ln \left(1+\coth \left(x \right)\right)}{4}"," ",0,"-1/2*coth(x)^2+coth(x)-1/4*ln(coth(x)-1)-1/2/(1+coth(x))-7/4*ln(1+coth(x))","A"
132,1,35,34,0.050000," ","int(coth(x)*(1+coth(x))^(3/2),x)","-\frac{2 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}{3}+2 \arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\coth \left(x \right)}"," ",0,"-2/3*(1+coth(x))^(3/2)+2*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+coth(x))^(1/2)","A"
133,1,26,25,0.061000," ","int(coth(x)*(1+coth(x))^(1/2),x)","\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\coth \left(x \right)}"," ",0,"arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+coth(x))^(1/2)","A"
134,1,25,24,0.077000," ","int(coth(x)/(1+coth(x))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{2}+\frac{1}{\sqrt{1+\coth \left(x \right)}}"," ",0,"1/2*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)+1/(1+coth(x))^(1/2)","A"
135,1,35,34,0.077000," ","int(coth(x)/(1+coth(x))^(3/2),x)","\frac{1}{3 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}+\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{4}-\frac{1}{2 \sqrt{1+\coth \left(x \right)}}"," ",0,"1/3/(1+coth(x))^(3/2)+1/4*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-1/2/(1+coth(x))^(1/2)","A"
136,1,35,34,0.066000," ","int(coth(x)^2*(1+coth(x))^(3/2),x)","-\frac{2 \left(1+\coth \left(x \right)\right)^{\frac{5}{2}}}{5}+2 \arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\coth \left(x \right)}"," ",0,"-2/5*(1+coth(x))^(5/2)+2*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+coth(x))^(1/2)","A"
137,1,26,25,0.076000," ","int(coth(x)^2*(1+coth(x))^(1/2),x)","-\frac{2 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}{3}+\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}"," ",0,"-2/3*(1+coth(x))^(3/2)+arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)","A"
138,1,35,34,0.089000," ","int(coth(x)^2/(1+coth(x))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{2}-\frac{1}{\sqrt{1+\coth \left(x \right)}}-2 \sqrt{1+\coth \left(x \right)}"," ",0,"1/2*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)-1/(1+coth(x))^(1/2)-2*(1+coth(x))^(1/2)","A"
139,1,35,34,0.075000," ","int(coth(x)^2/(1+coth(x))^(3/2),x)","-\frac{1}{3 \left(1+\coth \left(x \right)\right)^{\frac{3}{2}}}+\frac{\arctanh \left(\frac{\sqrt{1+\coth \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{4}+\frac{3}{2 \sqrt{1+\coth \left(x \right)}}"," ",0,"-1/3/(1+coth(x))^(3/2)+1/4*arctanh(1/2*(1+coth(x))^(1/2)*2^(1/2))*2^(1/2)+3/2/(1+coth(x))^(1/2)","A"
140,1,283,93,0.151000," ","int(tanh(x)^4/(a+b*coth(x)),x)","-\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)}{\left(a +b \right) \left(a -b \right) a^{4}}-\frac{64 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{64 a +64 b}+\frac{64 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{64 a -64 b}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{20 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \tanh \left(\frac{x}{2}\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) b^{3}}{a^{4}}"," ",0,"-b^5/(a+b)/(a-b)/a^4*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)-64/(64*a+64*b)*ln(tanh(1/2*x)-1)+64/(64*a-64*b)*ln(tanh(1/2*x)+1)-2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5-2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b^2+2/a^2/(tanh(1/2*x)^2+1)^3*b*tanh(1/2*x)^4-20/3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3-4/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*b^2+2/a^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^2*b-2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)-2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b^2-1/a^2*b*ln(tanh(1/2*x)^2+1)-1/a^4*ln(tanh(1/2*x)^2+1)*b^3","B"
141,1,167,74,0.144000," ","int(tanh(x)^3/(a+b*coth(x)),x)","\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)}{\left(a +b \right) \left(a -b \right) a^{3}}-\frac{32 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{32 a +32 b}-\frac{32 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{32 a -32 b}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 b \tanh \left(\frac{x}{2}\right)}{a^{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}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) b^{2}}{a^{3}}"," ",0,"b^4/(a+b)/(a-b)/a^3*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)-32/(32*a+32*b)*ln(tanh(1/2*x)-1)-32/(32*a-32*b)*ln(tanh(1/2*x)+1)+2/a^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*b-2/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2+2/a^2/(tanh(1/2*x)^2+1)^2*b*tanh(1/2*x)+1/a*ln(tanh(1/2*x)^2+1)+1/a^3*ln(tanh(1/2*x)^2+1)*b^2","B"
142,1,110,60,0.139000," ","int(tanh(x)^2/(a+b*coth(x)),x)","-\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)}{\left(a +b \right) \left(a -b \right) a^{2}}-\frac{16 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{16 a +16 b}+\frac{16 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{16 a -16 b}-\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}}"," ",0,"-b^3/(a+b)/(a-b)/a^2*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)-16/(16*a+16*b)*ln(tanh(1/2*x)-1)+16/(16*a-16*b)*ln(tanh(1/2*x)+1)-2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)-1/a^2*b*ln(tanh(1/2*x)^2+1)","A"
143,1,88,51,0.121000," ","int(tanh(x)/(a+b*coth(x)),x)","\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)}{\left(a +b \right) \left(a -b \right) a}-\frac{8 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a +8 b}-\frac{8 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a -8 b}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"b^2/(a+b)/(a-b)/a*ln(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)+b)-8/(8*a+8*b)*ln(tanh(1/2*x)-1)-8/(8*a-8*b)*ln(tanh(1/2*x)+1)+1/a*ln(tanh(1/2*x)^2+1)","A"
144,1,55,39,0.048000," ","int(1/(a+b*coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\coth \left(x \right)\right)}{2 a -2 b}-\frac{b \ln \left(a +b \coth \left(x \right)\right)}{\left(a -b \right) \left(a +b \right)}"," ",0,"-1/(2*b+2*a)*ln(coth(x)-1)+1/(2*a-2*b)*ln(1+coth(x))-b/(a-b)/(a+b)*ln(a+b*coth(x))","A"
145,1,55,39,0.049000," ","int(coth(x)/(a+b*coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{2 b +2 a}-\frac{\ln \left(1+\coth \left(x \right)\right)}{2 a -2 b}+\frac{a \ln \left(a +b \coth \left(x \right)\right)}{\left(a +b \right) \left(a -b \right)}"," ",0,"-1/(2*b+2*a)*ln(coth(x)-1)-1/(2*a-2*b)*ln(1+coth(x))+a/(a+b)/(a-b)*ln(a+b*coth(x))","A"
146,1,60,63,0.054000," ","int(coth(x)^2/(a+b*coth(x)),x)","-\frac{\ln \left(\coth \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\coth \left(x \right)\right)}{2 a -2 b}-\frac{a^{2} \ln \left(a +b \coth \left(x \right)\right)}{\left(a +b \right) \left(a -b \right) b}"," ",0,"-1/(2*b+2*a)*ln(coth(x)-1)+1/(2*a-2*b)*ln(1+coth(x))-a^2/(a+b)/(a-b)/b*ln(a+b*coth(x))","A"
147,1,67,64,0.073000," ","int(coth(x)^3/(a+b*coth(x)),x)","-\frac{\coth \left(x \right)}{b}-\frac{\ln \left(\coth \left(x \right)-1\right)}{2 b +2 a}-\frac{\ln \left(1+\coth \left(x \right)\right)}{2 a -2 b}+\frac{a^{3} \ln \left(a +b \coth \left(x \right)\right)}{b^{2} \left(a +b \right) \left(a -b \right)}"," ",0,"-coth(x)/b-1/(2*b+2*a)*ln(coth(x)-1)-1/(2*a-2*b)*ln(1+coth(x))+1/b^2*a^3/(a+b)/(a-b)*ln(a+b*coth(x))","A"
148,1,76,74,0.063000," ","int(coth(x)^4/(a+b*coth(x)),x)","-\frac{\coth^{2}\left(x \right)}{2 b}+\frac{a \coth \left(x \right)}{b^{2}}-\frac{\ln \left(\coth \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\coth \left(x \right)\right)}{2 a -2 b}-\frac{a^{4} \ln \left(a +b \coth \left(x \right)\right)}{b^{3} \left(a +b \right) \left(a -b \right)}"," ",0,"-1/2*coth(x)^2/b+a*coth(x)/b^2-1/(2*b+2*a)*ln(coth(x)-1)+1/(2*a-2*b)*ln(1+coth(x))-1/b^3*a^4/(a+b)/(a-b)*ln(a+b*coth(x))","A"
149,1,96,90,0.079000," ","int(coth(x)^5/(a+b*coth(x)),x)","-\frac{\coth^{3}\left(x \right)}{3 b}+\frac{a \left(\coth^{2}\left(x \right)\right)}{2 b^{2}}-\frac{a^{2} \coth \left(x \right)}{b^{3}}-\frac{\coth \left(x \right)}{b}-\frac{\ln \left(\coth \left(x \right)-1\right)}{2 b +2 a}-\frac{\ln \left(1+\coth \left(x \right)\right)}{2 a -2 b}+\frac{a^{5} \ln \left(a +b \coth \left(x \right)\right)}{b^{4} \left(a +b \right) \left(a -b \right)}"," ",0,"-1/3*coth(x)^3/b+1/2*a*coth(x)^2/b^2-1/b^3*a^2*coth(x)-coth(x)/b-1/(2*b+2*a)*ln(coth(x)-1)-1/(2*a-2*b)*ln(1+coth(x))+1/b^4*a^5/(a+b)/(a-b)*ln(a+b*coth(x))","A"
150,1,73,54,0.303000," ","int(x*csch(x)^2/(a+b*coth(x))^2,x)","-\frac{2 x}{a^{2}-b^{2}}-\frac{2 x}{\left(a \,{\mathrm e}^{2 x}+b \,{\mathrm e}^{2 x}-a +b \right) \left(a +b \right)}+\frac{\ln \left({\mathrm e}^{2 x}-\frac{a -b}{a +b}\right)}{a^{2}-b^{2}}"," ",0,"-2/(a^2-b^2)*x-2*x/(a*exp(2*x)+b*exp(2*x)-a+b)/(a+b)+1/(a^2-b^2)*ln(exp(2*x)-(a-b)/(a+b))","A"
151,1,24,26,0.104000," ","int(x^3*coth(a+2*ln(x)),x)","\frac{x^{4}}{4}+\frac{{\mathrm e}^{-2 a} \ln \left(-1+{\mathrm e}^{2 a} x^{4}\right)}{2}"," ",0,"1/4*x^4+1/2*exp(-2*a)*ln(-1+exp(2*a)*x^4)","A"
152,1,83,35,0.148000," ","int(x^2*coth(a+2*ln(x)),x)","\frac{x^{3}}{3}+\frac{\ln \left(-{\mathrm e}^{2 a} x +\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{2 \left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}}-\frac{\ln \left({\mathrm e}^{2 a} x +\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{2 \left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}}+\frac{\ln \left(-\sqrt{{\mathrm e}^{a}}\, x +1\right)}{2 \left({\mathrm e}^{a}\right)^{\frac{3}{2}}}-\frac{\ln \left(\sqrt{{\mathrm e}^{a}}\, x +1\right)}{2 \left({\mathrm e}^{a}\right)^{\frac{3}{2}}}"," ",0,"1/3*x^3+1/2/(-exp(a))^(3/2)*ln(-exp(2*a)*x+(-exp(a))^(3/2))-1/2/(-exp(a))^(3/2)*ln(exp(2*a)*x+(-exp(a))^(3/2))+1/2/exp(a)^(3/2)*ln(-exp(a)^(1/2)*x+1)-1/2/exp(a)^(3/2)*ln(exp(a)^(1/2)*x+1)","B"
153,1,37,19,0.109000," ","int(x*coth(a+2*ln(x)),x)","\frac{x^{2}}{2}-\frac{{\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}+1\right)}{2}+\frac{{\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}-1\right)}{2}"," ",0,"1/2*x^2-1/2*exp(-a)*ln(exp(a)*x^2+1)+1/2*exp(-a)*ln(exp(a)*x^2-1)","A"
154,1,71,32,0.140000," ","int(coth(a+2*ln(x)),x)","x +\frac{\ln \left(\sqrt{{\mathrm e}^{a}}\, x -1\right)}{2 \sqrt{{\mathrm e}^{a}}}-\frac{\ln \left(\sqrt{{\mathrm e}^{a}}\, x +1\right)}{2 \sqrt{{\mathrm e}^{a}}}-\frac{\ln \left(x \sqrt{-{\mathrm e}^{a}}+1\right)}{2 \sqrt{-{\mathrm e}^{a}}}+\frac{\ln \left(x \sqrt{-{\mathrm e}^{a}}-1\right)}{2 \sqrt{-{\mathrm e}^{a}}}"," ",0,"x+1/2/exp(a)^(1/2)*ln(exp(a)^(1/2)*x-1)-1/2/exp(a)^(1/2)*ln(exp(a)^(1/2)*x+1)-1/2/(-exp(a))^(1/2)*ln(x*(-exp(a))^(1/2)+1)+1/2/(-exp(a))^(1/2)*ln(x*(-exp(a))^(1/2)-1)","B"
155,1,26,10,0.014000," ","int(coth(a+2*ln(x))/x,x)","-\frac{\ln \left(\coth \left(a +2 \ln \left(x \right)\right)-1\right)}{4}-\frac{\ln \left(\coth \left(a +2 \ln \left(x \right)\right)+1\right)}{4}"," ",0,"-1/4*ln(coth(a+2*ln(x))-1)-1/4*ln(coth(a+2*ln(x))+1)","B"
156,1,93,29,0.126000," ","int(coth(a+2*ln(x))/x^2,x)","\frac{1}{x}+\frac{\sqrt{-{\mathrm e}^{a}}\, \ln \left(-{\mathrm e}^{2 a} x +\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{2}-\frac{\sqrt{-{\mathrm e}^{a}}\, \ln \left(-{\mathrm e}^{2 a} x -\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{2}+\frac{\sqrt{{\mathrm e}^{a}}\, \ln \left(-{\mathrm e}^{2 a} x +\left({\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{2}-\frac{\sqrt{{\mathrm e}^{a}}\, \ln \left(-{\mathrm e}^{2 a} x -\left({\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{2}"," ",0,"1/x+1/2*(-exp(a))^(1/2)*ln(-exp(2*a)*x+(-exp(a))^(3/2))-1/2*(-exp(a))^(1/2)*ln(-exp(2*a)*x-(-exp(a))^(3/2))+1/2*exp(a)^(1/2)*ln(-exp(2*a)*x+exp(a)^(3/2))-1/2*exp(a)^(1/2)*ln(-exp(2*a)*x-exp(a)^(3/2))","B"
157,1,35,17,0.099000," ","int(coth(a+2*ln(x))/x^3,x)","\frac{1}{2 x^{2}}-\frac{{\mathrm e}^{a} \ln \left(-{\mathrm e}^{a} x^{2}-1\right)}{2}+\frac{{\mathrm e}^{a} \ln \left(-{\mathrm e}^{a} x^{2}+1\right)}{2}"," ",0,"1/2/x^2-1/2*exp(a)*ln(-exp(a)*x^2-1)+1/2*exp(a)*ln(-exp(a)*x^2+1)","A"
158,1,41,45,0.096000," ","int(x^3*coth(a+2*ln(x))^2,x)","\frac{x^{4}}{4}-\frac{{\mathrm e}^{-2 a}}{-1+{\mathrm e}^{2 a} x^{4}}+{\mathrm e}^{-2 a} \ln \left(-1+{\mathrm e}^{2 a} x^{4}\right)"," ",0,"1/4*x^4-exp(-2*a)/(-1+exp(2*a)*x^4)+exp(-2*a)*ln(-1+exp(2*a)*x^4)","A"
159,1,100,53,0.125000," ","int(x^2*coth(a+2*ln(x))^2,x)","\frac{x^{3}}{3}-\frac{x^{3}}{-1+{\mathrm e}^{2 a} x^{4}}+\frac{3 \ln \left(-{\mathrm e}^{2 a} x +\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{4 \left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}}-\frac{3 \ln \left({\mathrm e}^{2 a} x +\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{4 \left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}}+\frac{3 \ln \left(-\sqrt{{\mathrm e}^{a}}\, x +1\right)}{4 \left({\mathrm e}^{a}\right)^{\frac{3}{2}}}-\frac{3 \ln \left(\sqrt{{\mathrm e}^{a}}\, x +1\right)}{4 \left({\mathrm e}^{a}\right)^{\frac{3}{2}}}"," ",0,"1/3*x^3-x^3/(-1+exp(2*a)*x^4)+3/4/(-exp(a))^(3/2)*ln(-exp(2*a)*x+(-exp(a))^(3/2))-3/4/(-exp(a))^(3/2)*ln(exp(2*a)*x+(-exp(a))^(3/2))+3/4/exp(a)^(3/2)*ln(-exp(a)^(1/2)*x+1)-3/4/exp(a)^(3/2)*ln(exp(a)^(1/2)*x+1)","A"
160,1,54,36,0.091000," ","int(x*coth(a+2*ln(x))^2,x)","\frac{x^{2}}{2}-\frac{x^{2}}{-1+{\mathrm e}^{2 a} x^{4}}+\frac{{\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}-1\right)}{2}-\frac{{\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}+1\right)}{2}"," ",0,"1/2*x^2-x^2/(-1+exp(2*a)*x^4)+1/2*exp(-a)*ln(exp(a)*x^2-1)-1/2*exp(-a)*ln(exp(a)*x^2+1)","A"
161,1,86,47,0.128000," ","int(coth(a+2*ln(x))^2,x)","x -\frac{x}{-1+{\mathrm e}^{2 a} x^{4}}+\frac{\ln \left(\sqrt{{\mathrm e}^{a}}\, x -1\right)}{4 \sqrt{{\mathrm e}^{a}}}-\frac{\ln \left(\sqrt{{\mathrm e}^{a}}\, x +1\right)}{4 \sqrt{{\mathrm e}^{a}}}-\frac{\ln \left(x \sqrt{-{\mathrm e}^{a}}+1\right)}{4 \sqrt{-{\mathrm e}^{a}}}+\frac{\ln \left(x \sqrt{-{\mathrm e}^{a}}-1\right)}{4 \sqrt{-{\mathrm e}^{a}}}"," ",0,"x-x/(-1+exp(2*a)*x^4)+1/4/exp(a)^(1/2)*ln(exp(a)^(1/2)*x-1)-1/4/exp(a)^(1/2)*ln(exp(a)^(1/2)*x+1)-1/4/(-exp(a))^(1/2)*ln(x*(-exp(a))^(1/2)+1)+1/4/(-exp(a))^(1/2)*ln(x*(-exp(a))^(1/2)-1)","A"
162,1,35,12,0.014000," ","int(coth(a+2*ln(x))^2/x,x)","-\frac{\coth \left(a +2 \ln \left(x \right)\right)}{2}-\frac{\ln \left(\coth \left(a +2 \ln \left(x \right)\right)-1\right)}{4}+\frac{\ln \left(\coth \left(a +2 \ln \left(x \right)\right)+1\right)}{4}"," ",0,"-1/2*coth(a+2*ln(x))-1/4*ln(coth(a+2*ln(x))-1)+1/4*ln(coth(a+2*ln(x))+1)","B"
163,1,114,67,0.128000," ","int(coth(a+2*ln(x))^2/x^2,x)","\frac{-2 \,{\mathrm e}^{2 a} x^{4}+1}{x \left(-1+{\mathrm e}^{2 a} x^{4}\right)}+\frac{\sqrt{-{\mathrm e}^{a}}\, \ln \left(-{\mathrm e}^{2 a} x -\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{4}-\frac{\sqrt{-{\mathrm e}^{a}}\, \ln \left(-{\mathrm e}^{2 a} x +\left(-{\mathrm e}^{a}\right)^{\frac{3}{2}}\right)}{4}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{2}-{\mathrm e}^{a}\right)}{\sum}\textit{\_R} \ln \left(\left(-5 \textit{\_R}^{4}+4 \,{\mathrm e}^{2 a}\right) x -\textit{\_R}^{3}\right)\right)}{4}"," ",0,"(-2*exp(2*a)*x^4+1)/x/(-1+exp(2*a)*x^4)+1/4*(-exp(a))^(1/2)*ln(-exp(2*a)*x-(-exp(a))^(3/2))-1/4*(-exp(a))^(1/2)*ln(-exp(2*a)*x+(-exp(a))^(3/2))+1/4*sum(_R*ln((-5*_R^4+4*exp(2*a))*x-_R^3),_R=RootOf(_Z^2-exp(a)))","C"
164,1,55,51,0.086000," ","int(coth(a+2*ln(x))^2/x^3,x)","\frac{-\frac{3 \,{\mathrm e}^{2 a} x^{4}}{2}+\frac{1}{2}}{x^{2} \left(-1+{\mathrm e}^{2 a} x^{4}\right)}-\frac{{\mathrm e}^{a} \ln \left({\mathrm e}^{a} x^{2}-1\right)}{2}+\frac{{\mathrm e}^{a} \ln \left({\mathrm e}^{a} x^{2}+1\right)}{2}"," ",0,"(-3/2*exp(2*a)*x^4+1/2)/x^2/(-1+exp(2*a)*x^4)-1/2*exp(a)*ln(exp(a)*x^2-1)+1/2*exp(a)*ln(exp(a)*x^2+1)","A"
165,0,0,56,0.108000," ","int((e*x)^m*coth(a+2*ln(x)),x)","\int \left(e x \right)^{m} \coth \left(a +2 \ln \left(x \right)\right)\, dx"," ",0,"int((e*x)^m*coth(a+2*ln(x)),x)","F"
166,0,0,75,0.092000," ","int((e*x)^m*coth(a+2*ln(x))^2,x)","\int \left(e x \right)^{m} \left(\coth^{2}\left(a +2 \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(a+2*ln(x))^2,x)","F"
167,0,0,162,0.149000," ","int((e*x)^m*coth(a+2*ln(x))^3,x)","\int \left(e x \right)^{m} \left(\coth^{3}\left(a +2 \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(a+2*ln(x))^3,x)","F"
168,0,0,71,0.270000," ","int(coth(a+b*ln(x))^p,x)","\int \coth^{p}\left(a +b \ln \left(x \right)\right)\, dx"," ",0,"int(coth(a+b*ln(x))^p,x)","F"
169,0,0,91,0.114000," ","int((e*x)^m*coth(a+b*ln(x))^p,x)","\int \left(e x \right)^{m} \left(\coth^{p}\left(a +b \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(a+b*ln(x))^p,x)","F"
170,0,0,50,0.138000," ","int(coth(a+1/2*ln(x))^p,x)","\int \coth^{p}\left(a +\frac{\ln \left(x \right)}{2}\right)\, dx"," ",0,"int(coth(a+1/2*ln(x))^p,x)","F"
171,0,0,97,0.162000," ","int(coth(a+1/4*ln(x))^p,x)","\int \coth^{p}\left(a +\frac{\ln \left(x \right)}{4}\right)\, dx"," ",0,"int(coth(a+1/4*ln(x))^p,x)","F"
172,0,0,144,0.154000," ","int(coth(a+1/6*ln(x))^p,x)","\int \coth^{p}\left(a +\frac{\ln \left(x \right)}{6}\right)\, dx"," ",0,"int(coth(a+1/6*ln(x))^p,x)","F"
173,0,0,168,0.153000," ","int(coth(a+1/8*ln(x))^p,x)","\int \coth^{p}\left(a +\frac{\ln \left(x \right)}{8}\right)\, dx"," ",0,"int(coth(a+1/8*ln(x))^p,x)","F"
174,0,0,53,0.176000," ","int(coth(a+ln(x))^p,x)","\int \coth^{p}\left(a +\ln \left(x \right)\right)\, dx"," ",0,"int(coth(a+ln(x))^p,x)","F"
175,0,0,53,0.209000," ","int(coth(a+2*ln(x))^p,x)","\int \coth^{p}\left(a +2 \ln \left(x \right)\right)\, dx"," ",0,"int(coth(a+2*ln(x))^p,x)","F"
176,0,0,53,0.188000," ","int(coth(a+3*ln(x))^p,x)","\int \coth^{p}\left(a +3 \ln \left(x \right)\right)\, dx"," ",0,"int(coth(a+3*ln(x))^p,x)","F"
177,0,0,55,1.252000," ","int(x^3*coth(d*(a+b*ln(c*x^n))),x)","\int x^{3} \coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^3*coth(d*(a+b*ln(c*x^n))),x)","F"
178,0,0,55,1.147000," ","int(x^2*coth(d*(a+b*ln(c*x^n))),x)","\int x^{2} \coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*coth(d*(a+b*ln(c*x^n))),x)","F"
179,0,0,53,1.140000," ","int(x*coth(d*(a+b*ln(c*x^n))),x)","\int x \coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*coth(d*(a+b*ln(c*x^n))),x)","F"
180,0,0,49,1.013000," ","int(coth(d*(a+b*ln(c*x^n))),x)","\int \coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n))),x)","F"
181,1,56,25,0.016000," ","int(coth(d*(a+b*ln(c*x^n)))/x,x)","-\frac{\ln \left(\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)-1\right)}{2 b d n}-\frac{\ln \left(\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)+1\right)}{2 b d n}"," ",0,"-1/2/b/d/n*ln(coth(d*(a+b*ln(c*x^n)))-1)-1/2/b/d/n*ln(coth(d*(a+b*ln(c*x^n)))+1)","B"
182,0,0,55,1.094000," ","int(coth(d*(a+b*ln(c*x^n)))/x^2,x)","\int \frac{\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n)))/x^2,x)","F"
183,0,0,54,1.133000," ","int(coth(d*(a+b*ln(c*x^n)))/x^3,x)","\int \frac{\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n)))/x^3,x)","F"
184,0,0,129,1.159000," ","int(x^3*coth(d*(a+b*ln(c*x^n)))^2,x)","\int x^{3} \left(\coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^3*coth(d*(a+b*ln(c*x^n)))^2,x)","F"
185,0,0,129,1.117000," ","int(x^2*coth(d*(a+b*ln(c*x^n)))^2,x)","\int x^{2} \left(\coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^2*coth(d*(a+b*ln(c*x^n)))^2,x)","F"
186,0,0,127,1.118000," ","int(x*coth(d*(a+b*ln(c*x^n)))^2,x)","\int x \left(\coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x*coth(d*(a+b*ln(c*x^n)))^2,x)","F"
187,0,0,121,1.092000," ","int(coth(d*(a+b*ln(c*x^n)))^2,x)","\int \coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n)))^2,x)","F"
188,1,80,28,0.018000," ","int(coth(d*(a+b*ln(c*x^n)))^2/x,x)","-\frac{\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b d n}-\frac{\ln \left(\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)-1\right)}{2 b d n}+\frac{\ln \left(\coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)+1\right)}{2 b d n}"," ",0,"-1/b/d/n*coth(d*(a+b*ln(c*x^n)))-1/2/b/d/n*ln(coth(d*(a+b*ln(c*x^n)))-1)+1/2/b/d/n*ln(coth(d*(a+b*ln(c*x^n)))+1)","B"
189,0,0,127,1.125000," ","int(coth(d*(a+b*ln(c*x^n)))^2/x^2,x)","\int \frac{\coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n)))^2/x^2,x)","F"
190,0,0,132,1.152000," ","int(coth(d*(a+b*ln(c*x^n)))^2/x^3,x)","\int \frac{\coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n)))^2/x^3,x)","F"
191,1,67,41,0.023000," ","int(coth(a+b*ln(c*x^n))^3/x,x)","-\frac{\coth^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(\coth \left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 n b}-\frac{\ln \left(\coth \left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/2*coth(a+b*ln(c*x^n))^2/b/n-1/2/n/b*ln(coth(a+b*ln(c*x^n))-1)-1/2/n/b*ln(coth(a+b*ln(c*x^n))+1)","A"
192,1,86,43,0.021000," ","int(coth(a+b*ln(c*x^n))^4/x,x)","-\frac{\coth^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{3 b n}-\frac{\coth \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}-\frac{\ln \left(\coth \left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 n b}+\frac{\ln \left(\coth \left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/3*coth(a+b*ln(c*x^n))^3/b/n-coth(a+b*ln(c*x^n))/b/n-1/2/n/b*ln(coth(a+b*ln(c*x^n))-1)+1/2/n/b*ln(coth(a+b*ln(c*x^n))+1)","A"
193,1,88,62,0.021000," ","int(coth(a+b*ln(c*x^n))^5/x,x)","-\frac{\coth^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{4 b n}-\frac{\coth^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(\coth \left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 n b}-\frac{\ln \left(\coth \left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/4*coth(a+b*ln(c*x^n))^4/b/n-1/2*coth(a+b*ln(c*x^n))^2/b/n-1/2/n/b*ln(coth(a+b*ln(c*x^n))-1)-1/2/n/b*ln(coth(a+b*ln(c*x^n))+1)","A"
194,0,0,84,1.582000," ","int((e*x)^m*coth(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \coth \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(d*(a+b*ln(c*x^n))),x)","F"
195,0,0,163,1.560000," ","int((e*x)^m*coth(d*(a+b*ln(c*x^n)))^2,x)","\int \left(e x \right)^{m} \left(\coth^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(d*(a+b*ln(c*x^n)))^2,x)","F"
196,0,0,293,1.688000," ","int((e*x)^m*coth(d*(a+b*ln(c*x^n)))^3,x)","\int \left(e x \right)^{m} \left(\coth^{3}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(d*(a+b*ln(c*x^n)))^3,x)","F"
197,0,0,107,0.281000," ","int(coth(d*(a+b*ln(c*x^n)))^p,x)","\int \coth^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(coth(d*(a+b*ln(c*x^n)))^p,x)","F"
198,0,0,127,0.260000," ","int((e*x)^m*coth(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\coth^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*coth(d*(a+b*ln(c*x^n)))^p,x)","F"
199,1,93,65,0.222000," ","int(coth(a+b*ln(c*x^n))^(5/2)/x,x)","-\frac{2 \left(\coth^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 b n}-\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{\arctan \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-2/3*coth(a+b*ln(c*x^n))^(3/2)/b/n-1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)+1)-arctan(coth(a+b*ln(c*x^n))^(1/2))/b/n","A"
200,1,92,64,0.127000," ","int(coth(a+b*ln(c*x^n))^(3/2)/x,x)","-\frac{2 \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}-\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}+\frac{\arctan \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-2*coth(a+b*ln(c*x^n))^(1/2)/b/n-1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)+1)+arctan(coth(a+b*ln(c*x^n))^(1/2))/b/n","A"
201,1,72,44,0.129000," ","int(coth(a+b*ln(c*x^n))^(1/2)/x,x)","-\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{\arctan \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)+1)-arctan(coth(a+b*ln(c*x^n))^(1/2))/b/n","A"
202,1,44,43,0.137000," ","int(1/x/coth(a+b*ln(c*x^n))^(1/2),x)","\frac{\arctan \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}+\frac{\arctanh \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"arctan(coth(a+b*ln(c*x^n))^(1/2))/b/n+arctanh(coth(a+b*ln(c*x^n))^(1/2))/b/n","A"
203,1,93,65,0.138000," ","int(1/x/coth(a+b*ln(c*x^n))^(3/2),x)","-\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{2}{b n \sqrt{\coth \left(a +b \ln \left(c \,x^{n}\right)\right)}}-\frac{\arctan \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)+1)-2/b/n/coth(a+b*ln(c*x^n))^(1/2)-arctan(coth(a+b*ln(c*x^n))^(1/2))/b/n","A"
204,1,92,64,0.136000," ","int(1/x/coth(a+b*ln(c*x^n))^(5/2),x)","-\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{2}{3 b n \coth \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}+\frac{\arctan \left(\sqrt{\coth}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(coth(a+b*ln(c*x^n))^(1/2)+1)-2/3/b/n/coth(a+b*ln(c*x^n))^(3/2)+arctan(coth(a+b*ln(c*x^n))^(1/2))/b/n","A"
205,1,149,111,0.225000," ","int(coth(x)^5/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","-\frac{\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}{2 c}+\frac{b \ln \left(\frac{\frac{b}{2}+c \left(\coth^{2}\left(x \right)\right)}{\sqrt{c}}+\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}\right)}{4 c^{\frac{3}{2}}}-\frac{\ln \left(\frac{\frac{b}{2}+c \left(\coth^{2}\left(x \right)\right)}{\sqrt{c}}+\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}\right)}{2 \sqrt{c}}+\frac{\arctanh \left(\frac{b \left(\coth^{2}\left(x \right)\right)+2 c \left(\coth^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}"," ",0,"-1/2*(a+b*coth(x)^2+c*coth(x)^4)^(1/2)/c+1/4*b/c^(3/2)*ln((1/2*b+c*coth(x)^2)/c^(1/2)+(a+b*coth(x)^2+c*coth(x)^4)^(1/2))-1/2*ln((1/2*b+c*coth(x)^2)/c^(1/2)+(a+b*coth(x)^2+c*coth(x)^4)^(1/2))/c^(1/2)+1/2/(a+b+c)^(1/2)*arctanh(1/2*(b*coth(x)^2+2*c*coth(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2))","A"
206,1,90,85,0.197000," ","int(coth(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","-\frac{\ln \left(\frac{\frac{b}{2}+c \left(\coth^{2}\left(x \right)\right)}{\sqrt{c}}+\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}\right)}{2 \sqrt{c}}+\frac{\arctanh \left(\frac{b \left(\coth^{2}\left(x \right)\right)+2 c \left(\coth^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}"," ",0,"-1/2*ln((1/2*b+c*coth(x)^2)/c^(1/2)+(a+b*coth(x)^2+c*coth(x)^4)^(1/2))/c^(1/2)+1/2/(a+b+c)^(1/2)*arctanh(1/2*(b*coth(x)^2+2*c*coth(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2))","A"
207,1,52,48,0.158000," ","int(coth(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","\frac{\arctanh \left(\frac{b \left(\coth^{2}\left(x \right)\right)+2 c \left(\coth^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}"," ",0,"1/2/(a+b+c)^(1/2)*arctanh(1/2*(b*coth(x)^2+2*c*coth(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2))","A"
208,0,0,86,0.656000," ","int(tanh(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","\int \frac{\tanh \left(x \right)}{\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\, dx"," ",0,"int(tanh(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","F"
209,0,0,149,0.626000," ","int(tanh(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","\int \frac{\tanh^{3}\left(x \right)}{\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\, dx"," ",0,"int(tanh(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","F"
210,1,559,108,0.153000," ","int(coth(x)*(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x)","-\frac{\sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}{2}-\frac{\left(b +c \right) \sqrt{2}\, \sqrt{4-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) \left(\coth^{2}\left(x \right)\right)}{a}}\, \sqrt{4+\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) \left(\coth^{2}\left(x \right)\right)}{a}}\, \EllipticF \left(\frac{\coth \left(x \right) \sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}}{2}, \frac{\sqrt{-4+\frac{2 b \left(b +\sqrt{-4 a c +b^{2}}\right)}{a c}}}{2}\right)}{8 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}-\frac{\ln \left(\frac{b +2 c \left(\coth^{2}\left(x \right)\right)}{\sqrt{c}}+2 \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}\right) \sqrt{c}}{2}-\frac{\ln \left(\frac{b +2 c \left(\coth^{2}\left(x \right)\right)}{\sqrt{c}}+2 \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}\right) b}{4 \sqrt{c}}+\frac{a \arctanh \left(\frac{b \left(\coth^{2}\left(x \right)\right)+2 c \left(\coth^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}+\frac{b \arctanh \left(\frac{b \left(\coth^{2}\left(x \right)\right)+2 c \left(\coth^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}+\frac{c \arctanh \left(\frac{b \left(\coth^{2}\left(x \right)\right)+2 c \left(\coth^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}-\frac{\left(-b -c \right) \sqrt{2}\, \sqrt{4-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) \left(\coth^{2}\left(x \right)\right)}{a}}\, \sqrt{4+\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) \left(\coth^{2}\left(x \right)\right)}{a}}\, \EllipticF \left(\frac{\coth \left(x \right) \sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}}{2}, \frac{\sqrt{-4+\frac{2 b \left(b +\sqrt{-4 a c +b^{2}}\right)}{a c}}}{2}\right)}{8 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{a +b \left(\coth^{2}\left(x \right)\right)+c \left(\coth^{4}\left(x \right)\right)}}"," ",0,"-1/2*(a+b*coth(x)^2+c*coth(x)^4)^(1/2)-1/8*(b+c)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(4-2*(-b+(-4*a*c+b^2)^(1/2))/a*coth(x)^2)^(1/2)*(4+2*(b+(-4*a*c+b^2)^(1/2))/a*coth(x)^2)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2)*EllipticF(1/2*coth(x)*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2),1/2*(-4+2*b*(b+(-4*a*c+b^2)^(1/2))/a/c)^(1/2))-1/2*ln((b+2*c*coth(x)^2)/c^(1/2)+2*(a+b*coth(x)^2+c*coth(x)^4)^(1/2))*c^(1/2)-1/4*ln((b+2*c*coth(x)^2)/c^(1/2)+2*(a+b*coth(x)^2+c*coth(x)^4)^(1/2))/c^(1/2)*b+1/2*a/(a+b+c)^(1/2)*arctanh(1/2*(b*coth(x)^2+2*c*coth(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2))+1/2*b/(a+b+c)^(1/2)*arctanh(1/2*(b*coth(x)^2+2*c*coth(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2))+1/2*c/(a+b+c)^(1/2)*arctanh(1/2*(b*coth(x)^2+2*c*coth(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2))-1/8*(-b-c)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(4-2*(-b+(-4*a*c+b^2)^(1/2))/a*coth(x)^2)^(1/2)*(4+2*(b+(-4*a*c+b^2)^(1/2))/a*coth(x)^2)^(1/2)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2)*EllipticF(1/2*coth(x)*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2),1/2*(-4+2*b*(b+(-4*a*c+b^2)^(1/2))/a/c)^(1/2))","C"
211,1,320,289,0.982000," ","int(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(5/2),x)","\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}-\frac{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)} \left(75 \,{\mathrm e}^{6 c \left(b x +a \right)}-115 \,{\mathrm e}^{4 c \left(b x +a \right)}+109 \,{\mathrm e}^{2 c \left(b x +a \right)}-21\right)}{12 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{3} c b}+\frac{15 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{8 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}-\frac{15 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \ln \left(1+{\mathrm e}^{c \left(b x +a \right)}\right)}{8 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}"," ",0,"1/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))/c/b-1/12/(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)^3*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))*(75*exp(6*c*(b*x+a))-115*exp(4*c*(b*x+a))+109*exp(2*c*(b*x+a))-21)/c/b+15/8/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-1)-15/8/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(1+exp(c*(b*x+a)))","A"
212,1,298,183,0.848000," ","int(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(3/2),x)","\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}-\frac{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)} \left(3 \,{\mathrm e}^{2 c \left(b x +a \right)}-1\right)}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}-\frac{3 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \ln \left(1+{\mathrm e}^{c \left(b x +a \right)}\right)}{2 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}+\frac{3 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{2 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}"," ",0,"1/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))/c/b-1/(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))*(3*exp(2*c*(b*x+a))-1)/c/b-3/2/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(1+exp(c*(b*x+a)))+3/2/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-1)","A"
213,1,213,77,0.976000," ","int(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(1/2),x)","\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}+\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}-\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \ln \left(1+{\mathrm e}^{c \left(b x +a \right)}\right)}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}"," ",0,"1/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))/c/b+1/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-1)-1/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(1+exp(c*(b*x+a)))","B"
214,1,218,77,0.931000," ","int(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(1/2),x)","\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) {\mathrm e}^{c \left(b x +a \right)}}{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}+\frac{i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}-i\right)}{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}-\frac{i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}+i\right)}{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}"," ",0,"1/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*exp(c*(b*x+a))/c/b+I/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))/c/b*ln(exp(c*(b*x+a))-I)-I/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))/c/b*ln(exp(c*(b*x+a))+I)","C"
215,1,301,179,0.877000," ","int(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(3/2),x)","\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) {\mathrm e}^{c \left(b x +a \right)}}{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}+\frac{{\mathrm e}^{c \left(b x +a \right)} \left(3 \,{\mathrm e}^{2 c \left(b x +a \right)}+1\right)}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, c b}+\frac{3 i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}-i\right)}{2 \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}-\frac{3 i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}+i\right)}{2 \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}"," ",0,"1/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*exp(c*(b*x+a))/c/b+1/(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))*(3*exp(2*c*(b*x+a))+1)/c/b+3/2*I*(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-I)-3/2*I*(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))+I)","C"
216,1,324,281,0.873000," ","int(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(5/2),x)","\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) {\mathrm e}^{c \left(b x +a \right)}}{\sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}+\frac{{\mathrm e}^{c \left(b x +a \right)} \left(75 \,{\mathrm e}^{6 c \left(b x +a \right)}+115 \,{\mathrm e}^{4 c \left(b x +a \right)}+109 \,{\mathrm e}^{2 c \left(b x +a \right)}+21\right)}{12 \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{3} \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, c b}+\frac{15 i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}-i\right)}{8 \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}-\frac{15 i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}+i\right)}{8 \sqrt{\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}}\, \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}"," ",0,"1/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*exp(c*(b*x+a))/c/b+1/12/(1+exp(2*c*(b*x+a)))^3/(exp(2*c*(b*x+a))-1)/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)*exp(c*(b*x+a))*(75*exp(6*c*(b*x+a))+115*exp(4*c*(b*x+a))+109*exp(2*c*(b*x+a))+21)/c/b+15/8*I*(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-I)-15/8*I*(1+exp(2*c*(b*x+a)))/(exp(2*c*(b*x+a))-1)/((1+exp(2*c*(b*x+a)))^2/(exp(2*c*(b*x+a))-1)^2)^(1/2)/c/b*ln(exp(c*(b*x+a))+I)","C"
217,1,118,139,0.134000," ","int(sin(coth(b*x+a))^3,x)","\frac{-\frac{\Si \left(3+3 \coth \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{\Ci \left(3+3 \coth \left(b x +a \right)\right) \sin \left(3\right)}{8}+\frac{\Si \left(-3+3 \coth \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{\Ci \left(-3+3 \coth \left(b x +a \right)\right) \sin \left(3\right)}{8}+\frac{3 \Si \left(1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{8}-\frac{3 \Ci \left(1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{8}-\frac{3 \Si \left(-1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{8}-\frac{3 \Ci \left(-1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{8}}{b}"," ",0,"1/b*(-1/8*Si(3+3*coth(b*x+a))*cos(3)+1/8*Ci(3+3*coth(b*x+a))*sin(3)+1/8*Si(-3+3*coth(b*x+a))*cos(3)+1/8*Ci(-3+3*coth(b*x+a))*sin(3)+3/8*Si(1+coth(b*x+a))*cos(1)-3/8*Ci(1+coth(b*x+a))*sin(1)-3/8*Si(-1+coth(b*x+a))*cos(1)-3/8*Ci(-1+coth(b*x+a))*sin(1))","A"
218,1,102,103,0.139000," ","int(sin(coth(b*x+a))^2,x)","-\frac{\ln \left(-1+\coth \left(b x +a \right)\right)}{4 b}+\frac{\ln \left(1+\coth \left(b x +a \right)\right)}{4 b}-\frac{\Si \left(2+2 \coth \left(b x +a \right)\right) \sin \left(2\right)}{4 b}-\frac{\Ci \left(2+2 \coth \left(b x +a \right)\right) \cos \left(2\right)}{4 b}-\frac{\Si \left(-2+2 \coth \left(b x +a \right)\right) \sin \left(2\right)}{4 b}+\frac{\Ci \left(-2+2 \coth \left(b x +a \right)\right) \cos \left(2\right)}{4 b}"," ",0,"-1/4/b*ln(-1+coth(b*x+a))+1/4*ln(1+coth(b*x+a))/b-1/4*Si(2+2*coth(b*x+a))*sin(2)/b-1/4*Ci(2+2*coth(b*x+a))*cos(2)/b-1/4*Si(-2+2*coth(b*x+a))*sin(2)/b+1/4/b*Ci(-2+2*coth(b*x+a))*cos(2)","A"
219,1,58,67,0.132000," ","int(sin(coth(b*x+a)),x)","\frac{\frac{\Si \left(1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{2}-\frac{\Ci \left(1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{2}-\frac{\Si \left(-1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{2}-\frac{\Ci \left(-1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{2}}{b}"," ",0,"1/b*(1/2*Si(1+coth(b*x+a))*cos(1)-1/2*Ci(1+coth(b*x+a))*sin(1)-1/2*Si(-1+coth(b*x+a))*cos(1)-1/2*Ci(-1+coth(b*x+a))*sin(1))","A"
220,0,0,61,0.582000," ","int(csc(coth(b*x+a)),x)","\int \csc \left(\coth \left(b x +a \right)\right)\, dx"," ",0,"int(csc(coth(b*x+a)),x)","F"
221,1,118,139,0.143000," ","int(cos(coth(b*x+a))^3,x)","\frac{\frac{\Si \left(3+3 \coth \left(b x +a \right)\right) \sin \left(3\right)}{8}+\frac{\Ci \left(3+3 \coth \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{\Si \left(-3+3 \coth \left(b x +a \right)\right) \sin \left(3\right)}{8}-\frac{\Ci \left(-3+3 \coth \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{3 \Si \left(1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{8}+\frac{3 \Ci \left(1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{8}+\frac{3 \Si \left(-1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{8}-\frac{3 \Ci \left(-1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{8}}{b}"," ",0,"1/b*(1/8*Si(3+3*coth(b*x+a))*sin(3)+1/8*Ci(3+3*coth(b*x+a))*cos(3)+1/8*Si(-3+3*coth(b*x+a))*sin(3)-1/8*Ci(-3+3*coth(b*x+a))*cos(3)+3/8*Si(1+coth(b*x+a))*sin(1)+3/8*Ci(1+coth(b*x+a))*cos(1)+3/8*Si(-1+coth(b*x+a))*sin(1)-3/8*Ci(-1+coth(b*x+a))*cos(1))","A"
222,1,102,103,0.137000," ","int(cos(coth(b*x+a))^2,x)","\frac{\Si \left(2+2 \coth \left(b x +a \right)\right) \sin \left(2\right)}{4 b}+\frac{\Ci \left(2+2 \coth \left(b x +a \right)\right) \cos \left(2\right)}{4 b}+\frac{\Si \left(-2+2 \coth \left(b x +a \right)\right) \sin \left(2\right)}{4 b}-\frac{\Ci \left(-2+2 \coth \left(b x +a \right)\right) \cos \left(2\right)}{4 b}-\frac{\ln \left(-1+\coth \left(b x +a \right)\right)}{4 b}+\frac{\ln \left(1+\coth \left(b x +a \right)\right)}{4 b}"," ",0,"1/4*Si(2+2*coth(b*x+a))*sin(2)/b+1/4*Ci(2+2*coth(b*x+a))*cos(2)/b+1/4*Si(-2+2*coth(b*x+a))*sin(2)/b-1/4/b*Ci(-2+2*coth(b*x+a))*cos(2)-1/4/b*ln(-1+coth(b*x+a))+1/4*ln(1+coth(b*x+a))/b","A"
223,1,58,67,0.143000," ","int(cos(coth(b*x+a)),x)","\frac{\frac{\Si \left(1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{2}+\frac{\Ci \left(1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{2}+\frac{\Si \left(-1+\coth \left(b x +a \right)\right) \sin \left(1\right)}{2}-\frac{\Ci \left(-1+\coth \left(b x +a \right)\right) \cos \left(1\right)}{2}}{b}"," ",0,"1/b*(1/2*Si(1+coth(b*x+a))*sin(1)+1/2*Ci(1+coth(b*x+a))*cos(1)+1/2*Si(-1+coth(b*x+a))*sin(1)-1/2*Ci(-1+coth(b*x+a))*cos(1))","A"
224,0,0,61,0.506000," ","int(sec(coth(b*x+a)),x)","\int \sec \left(\coth \left(b x +a \right)\right)\, dx"," ",0,"int(sec(coth(b*x+a)),x)","F"