1,1,67,39,0.012000," ","int(tanh(b*x+a)^6,x)","-\frac{\tanh^{5}\left(b x +a \right)}{5 b}-\frac{\tanh^{3}\left(b x +a \right)}{3 b}-\frac{\tanh \left(b x +a \right)}{b}-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{2 b}+\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{2 b}"," ",0,"-1/5*tanh(b*x+a)^5/b-1/3*tanh(b*x+a)^3/b-tanh(b*x+a)/b-1/2/b*ln(-1+tanh(b*x+a))+1/2*ln(1+tanh(b*x+a))/b","A"
2,1,56,38,0.013000," ","int(tanh(b*x+a)^5,x)","-\frac{\tanh^{4}\left(b x +a \right)}{4 b}-\frac{\tanh^{2}\left(b x +a \right)}{2 b}-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{2 b}-\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{2 b}"," ",0,"-1/4*tanh(b*x+a)^4/b-1/2*tanh(b*x+a)^2/b-1/2/b*ln(-1+tanh(b*x+a))-1/2*ln(1+tanh(b*x+a))/b","A"
3,1,54,26,0.011000," ","int(tanh(b*x+a)^4,x)","-\frac{\tanh^{3}\left(b x +a \right)}{3 b}-\frac{\tanh \left(b x +a \right)}{b}-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{2 b}+\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{2 b}"," ",0,"-1/3*tanh(b*x+a)^3/b-tanh(b*x+a)/b-1/2/b*ln(-1+tanh(b*x+a))+1/2*ln(1+tanh(b*x+a))/b","B"
4,1,43,25,0.010000," ","int(tanh(b*x+a)^3,x)","-\frac{\tanh^{2}\left(b x +a \right)}{2 b}-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{2 b}-\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{2 b}"," ",0,"-1/2*tanh(b*x+a)^2/b-1/2/b*ln(-1+tanh(b*x+a))-1/2*ln(1+tanh(b*x+a))/b","A"
5,1,41,13,0.011000," ","int(tanh(b*x+a)^2,x)","-\frac{\tanh \left(b x +a \right)}{b}-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{2 b}+\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{2 b}"," ",0,"-tanh(b*x+a)/b-1/2/b*ln(-1+tanh(b*x+a))+1/2*ln(1+tanh(b*x+a))/b","B"
6,1,30,11,0.010000," ","int(tanh(b*x+a),x)","-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{2 b}-\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{2 b}"," ",0,"-1/2/b*ln(-1+tanh(b*x+a))-1/2*ln(1+tanh(b*x+a))/b","B"
7,1,30,11,0.010000," ","int(coth(b*x+a),x)","-\frac{\ln \left(\coth \left(b x +a \right)-1\right)}{2 b}-\frac{\ln \left(\coth \left(b x +a \right)+1\right)}{2 b}"," ",0,"-1/2/b*ln(coth(b*x+a)-1)-1/2/b*ln(coth(b*x+a)+1)","B"
8,1,41,13,0.010000," ","int(coth(b*x+a)^2,x)","-\frac{\coth \left(b x +a \right)}{b}-\frac{\ln \left(\coth \left(b x +a \right)-1\right)}{2 b}+\frac{\ln \left(\coth \left(b x +a \right)+1\right)}{2 b}"," ",0,"-coth(b*x+a)/b-1/2/b*ln(coth(b*x+a)-1)+1/2/b*ln(coth(b*x+a)+1)","B"
9,1,43,25,0.010000," ","int(coth(b*x+a)^3,x)","-\frac{\coth^{2}\left(b x +a \right)}{2 b}-\frac{\ln \left(\coth \left(b x +a \right)-1\right)}{2 b}-\frac{\ln \left(\coth \left(b x +a \right)+1\right)}{2 b}"," ",0,"-1/2*coth(b*x+a)^2/b-1/2/b*ln(coth(b*x+a)-1)-1/2/b*ln(coth(b*x+a)+1)","A"
10,1,54,26,0.009000," ","int(coth(b*x+a)^4,x)","-\frac{\coth^{3}\left(b x +a \right)}{3 b}-\frac{\coth \left(b x +a \right)}{b}-\frac{\ln \left(\coth \left(b x +a \right)-1\right)}{2 b}+\frac{\ln \left(\coth \left(b x +a \right)+1\right)}{2 b}"," ",0,"-1/3*coth(b*x+a)^3/b-coth(b*x+a)/b-1/2/b*ln(coth(b*x+a)-1)+1/2/b*ln(coth(b*x+a)+1)","B"
11,1,56,38,0.012000," ","int(coth(b*x+a)^5,x)","-\frac{\coth^{4}\left(b x +a \right)}{4 b}-\frac{\coth^{2}\left(b x +a \right)}{2 b}-\frac{\ln \left(\coth \left(b x +a \right)-1\right)}{2 b}-\frac{\ln \left(\coth \left(b x +a \right)+1\right)}{2 b}"," ",0,"-1/4*coth(b*x+a)^4/b-1/2*coth(b*x+a)^2/b-1/2/b*ln(coth(b*x+a)-1)-1/2/b*ln(coth(b*x+a)+1)","A"
12,1,67,39,0.010000," ","int(coth(b*x+a)^6,x)","-\frac{\coth^{5}\left(b x +a \right)}{5 b}-\frac{\coth^{3}\left(b x +a \right)}{3 b}-\frac{\coth \left(b x +a \right)}{b}-\frac{\ln \left(\coth \left(b x +a \right)-1\right)}{2 b}+\frac{\ln \left(\coth \left(b x +a \right)+1\right)}{2 b}"," ",0,"-1/5*coth(b*x+a)^5/b-1/3*coth(b*x+a)^3/b-coth(b*x+a)/b-1/2/b*ln(coth(b*x+a)-1)+1/2/b*ln(coth(b*x+a)+1)","A"
13,1,80,79,0.081000," ","int((b*tanh(d*x+c))^(7/2),x)","\frac{b^{\frac{7}{2}} \arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d}+\frac{b^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d}-\frac{2 b^{3} \sqrt{b \tanh \left(d x +c \right)}}{d}-\frac{2 b \left(b \tanh \left(d x +c \right)\right)^{\frac{5}{2}}}{5 d}"," ",0,"b^(7/2)*arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/d+b^(7/2)*arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/d-2*b^3*(b*tanh(d*x+c))^(1/2)/d-2/5*b*(b*tanh(d*x+c))^(5/2)/d","A"
14,1,63,62,0.064000," ","int((b*tanh(d*x+c))^(5/2),x)","-\frac{b^{\frac{5}{2}} \arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d}+\frac{b^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d}-\frac{2 b \left(b \tanh \left(d x +c \right)\right)^{\frac{3}{2}}}{3 d}"," ",0,"-b^(5/2)*arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/d+b^(5/2)*arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/d-2/3*b*(b*tanh(d*x+c))^(3/2)/d","A"
15,1,62,61,0.064000," ","int((b*tanh(d*x+c))^(3/2),x)","\frac{b^{\frac{3}{2}} \arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d}+\frac{b^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d}-\frac{2 b \sqrt{b \tanh \left(d x +c \right)}}{d}"," ",0,"b^(3/2)*arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/d+b^(3/2)*arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/d-2*b*(b*tanh(d*x+c))^(1/2)/d","A"
16,1,47,46,0.080000," ","int((b*tanh(d*x+c))^(1/2),x)","-\frac{\arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right) \sqrt{b}}{d}+\frac{\arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right) \sqrt{b}}{d}"," ",0,"-arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))*b^(1/2)/d+arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))*b^(1/2)/d","A"
17,1,46,45,0.088000," ","int(1/(b*tanh(d*x+c))^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d \sqrt{b}}+\frac{\arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{d \sqrt{b}}"," ",0,"arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/d/b^(1/2)+arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/d/b^(1/2)","A"
18,1,65,64,0.072000," ","int(1/(b*tanh(d*x+c))^(3/2),x)","-\frac{\arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{3}{2}} d}+\frac{\arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{3}{2}} d}-\frac{2}{b d \sqrt{b \tanh \left(d x +c \right)}}"," ",0,"-arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/b^(3/2)/d+arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/b^(3/2)/d-2/b/d/(b*tanh(d*x+c))^(1/2)","A"
19,1,64,63,0.076000," ","int(1/(b*tanh(d*x+c))^(5/2),x)","\frac{\arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{5}{2}} d}+\frac{\arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{5}{2}} d}-\frac{2}{3 b d \left(b \tanh \left(d x +c \right)\right)^{\frac{3}{2}}}"," ",0,"arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/b^(5/2)/d+arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/b^(5/2)/d-2/3/b/d/(b*tanh(d*x+c))^(3/2)","A"
20,1,83,82,0.079000," ","int(1/(b*tanh(d*x+c))^(7/2),x)","-\frac{\arctan \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{7}{2}} d}+\frac{\arctanh \left(\frac{\sqrt{b \tanh \left(d x +c \right)}}{\sqrt{b}}\right)}{b^{\frac{7}{2}} d}-\frac{2}{b^{3} d \sqrt{b \tanh \left(d x +c \right)}}-\frac{2}{5 b d \left(b \tanh \left(d x +c \right)\right)^{\frac{5}{2}}}"," ",0,"-arctan((b*tanh(d*x+c))^(1/2)/b^(1/2))/b^(7/2)/d+arctanh((b*tanh(d*x+c))^(1/2)/b^(1/2))/b^(7/2)/d-2/b^3/d/(b*tanh(d*x+c))^(1/2)-2/5/b/d/(b*tanh(d*x+c))^(5/2)","A"
21,1,102,52,0.036000," ","int(tanh(8*x)^(1/3),x)","\frac{\ln \left(\tanh^{\frac{2}{3}}\left(8 x \right)+\tanh^{\frac{1}{3}}\left(8 x \right)+1\right)}{32}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(1+2 \left(\tanh^{\frac{1}{3}}\left(8 x \right)\right)\right) \sqrt{3}}{3}\right)}{16}-\frac{\ln \left(\tanh^{\frac{1}{3}}\left(8 x \right)-1\right)}{16}+\frac{\ln \left(\tanh^{\frac{2}{3}}\left(8 x \right)-\left(\tanh^{\frac{1}{3}}\left(8 x \right)\right)+1\right)}{32}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 \left(\tanh^{\frac{1}{3}}\left(8 x \right)\right)-1\right) \sqrt{3}}{3}\right)}{16}-\frac{\ln \left(\tanh^{\frac{1}{3}}\left(8 x \right)+1\right)}{16}"," ",0,"1/32*ln(tanh(8*x)^(2/3)+tanh(8*x)^(1/3)+1)+1/16*3^(1/2)*arctan(1/3*(1+2*tanh(8*x)^(1/3))*3^(1/2))-1/16*ln(tanh(8*x)^(1/3)-1)+1/32*ln(tanh(8*x)^(2/3)-tanh(8*x)^(1/3)+1)-1/16*3^(1/2)*arctan(1/3*(2*tanh(8*x)^(1/3)-1)*3^(1/2))-1/16*ln(tanh(8*x)^(1/3)+1)","A"
22,0,0,41,0.392000," ","int(tanh(b*x+a)^n,x)","\int \tanh^{n}\left(b x +a \right)\, dx"," ",0,"int(tanh(b*x+a)^n,x)","F"
23,0,0,46,0.364000," ","int((b*tanh(d*x+c))^n,x)","\int \left(b \tanh \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((b*tanh(d*x+c))^n,x)","F"
24,1,30,29,0.077000," ","int((a*tanh(x)^2)^(3/2),x)","-\frac{\left(a \left(\tanh^{2}\left(x \right)\right)\right)^{\frac{3}{2}} \left(\tanh^{2}\left(x \right)+\ln \left(\tanh \left(x \right)-1\right)+\ln \left(1+\tanh \left(x \right)\right)\right)}{2 \tanh \left(x \right)^{3}}"," ",0,"-1/2*(a*tanh(x)^2)^(3/2)*(tanh(x)^2+ln(tanh(x)-1)+ln(1+tanh(x)))/tanh(x)^3","A"
25,1,26,14,0.081000," ","int((a*tanh(x)^2)^(1/2),x)","-\frac{\sqrt{a \left(\tanh^{2}\left(x \right)\right)}\, \left(\ln \left(\tanh \left(x \right)-1\right)+\ln \left(1+\tanh \left(x \right)\right)\right)}{2 \tanh \left(x \right)}"," ",0,"-1/2*(a*tanh(x)^2)^(1/2)*(ln(tanh(x)-1)+ln(1+tanh(x)))/tanh(x)","A"
26,1,29,14,0.089000," ","int(1/(a*tanh(x)^2)^(1/2),x)","-\frac{\tanh \left(x \right) \left(\ln \left(\tanh \left(x \right)-1\right)+\ln \left(1+\tanh \left(x \right)\right)-2 \ln \left(\tanh \left(x \right)\right)\right)}{2 \sqrt{a \left(\tanh^{2}\left(x \right)\right)}}"," ",0,"-1/2*tanh(x)*(ln(tanh(x)-1)+ln(1+tanh(x))-2*ln(tanh(x)))/(a*tanh(x)^2)^(1/2)","A"
27,1,67,78,0.122000," ","int((-tanh(d*x+c)^2)^(5/2),x)","-\frac{\left(-\left(\tanh^{2}\left(d x +c \right)\right)\right)^{\frac{5}{2}} \left(\tanh^{4}\left(d x +c \right)+2 \left(\tanh^{2}\left(d x +c \right)\right)+2 \ln \left(\tanh \left(d x +c \right)-1\right)+2 \ln \left(1+\tanh \left(d x +c \right)\right)\right)}{4 d \tanh \left(d x +c \right)^{5}}"," ",0,"-1/4/d*(-tanh(d*x+c)^2)^(5/2)*(tanh(d*x+c)^4+2*tanh(d*x+c)^2+2*ln(tanh(d*x+c)-1)+2*ln(1+tanh(d*x+c)))/tanh(d*x+c)^5","A"
28,1,53,54,0.107000," ","int((-tanh(d*x+c)^2)^(3/2),x)","-\frac{\left(-\left(\tanh^{2}\left(d x +c \right)\right)\right)^{\frac{3}{2}} \left(\tanh^{2}\left(d x +c \right)+\ln \left(\tanh \left(d x +c \right)-1\right)+\ln \left(1+\tanh \left(d x +c \right)\right)\right)}{2 d \tanh \left(d x +c \right)^{3}}"," ",0,"-1/2/d*(-tanh(d*x+c)^2)^(3/2)*(tanh(d*x+c)^2+ln(tanh(d*x+c)-1)+ln(1+tanh(d*x+c)))/tanh(d*x+c)^3","A"
29,1,45,29,0.127000," ","int((-tanh(d*x+c)^2)^(1/2),x)","-\frac{\sqrt{-\left(\tanh^{2}\left(d x +c \right)\right)}\, \left(\ln \left(\tanh \left(d x +c \right)-1\right)+\ln \left(1+\tanh \left(d x +c \right)\right)\right)}{2 d \tanh \left(d x +c \right)}"," ",0,"-1/2/d*(-tanh(d*x+c)^2)^(1/2)*(ln(tanh(d*x+c)-1)+ln(1+tanh(d*x+c)))/tanh(d*x+c)","A"
30,1,52,29,0.145000," ","int(1/(-tanh(d*x+c)^2)^(1/2),x)","-\frac{\tanh \left(d x +c \right) \left(\ln \left(\tanh \left(d x +c \right)-1\right)+\ln \left(1+\tanh \left(d x +c \right)\right)-2 \ln \left(\tanh \left(d x +c \right)\right)\right)}{2 d \sqrt{-\left(\tanh^{2}\left(d x +c \right)\right)}}"," ",0,"-1/2/d*tanh(d*x+c)*(ln(tanh(d*x+c)-1)+ln(1+tanh(d*x+c))-2*ln(tanh(d*x+c)))/(-tanh(d*x+c)^2)^(1/2)","A"
31,1,79,54,0.122000," ","int(1/(-tanh(d*x+c)^2)^(3/2),x)","-\frac{\tanh \left(d x +c \right) \left(\ln \left(\tanh \left(d x +c \right)-1\right) \left(\tanh^{2}\left(d x +c \right)\right)+\ln \left(1+\tanh \left(d x +c \right)\right) \left(\tanh^{2}\left(d x +c \right)\right)-2 \ln \left(\tanh \left(d x +c \right)\right) \left(\tanh^{2}\left(d x +c \right)\right)+1\right)}{2 d \left(-\left(\tanh^{2}\left(d x +c \right)\right)\right)^{\frac{3}{2}}}"," ",0,"-1/2/d*tanh(d*x+c)*(ln(tanh(d*x+c)-1)*tanh(d*x+c)^2+ln(1+tanh(d*x+c))*tanh(d*x+c)^2-2*ln(tanh(d*x+c))*tanh(d*x+c)^2+1)/(-tanh(d*x+c)^2)^(3/2)","A"
32,1,91,78,0.126000," ","int(1/(-tanh(d*x+c)^2)^(5/2),x)","-\frac{\tanh \left(d x +c \right) \left(2 \ln \left(\tanh \left(d x +c \right)-1\right) \left(\tanh^{4}\left(d x +c \right)\right)+2 \ln \left(1+\tanh \left(d x +c \right)\right) \left(\tanh^{4}\left(d x +c \right)\right)-4 \ln \left(\tanh \left(d x +c \right)\right) \left(\tanh^{4}\left(d x +c \right)\right)+2 \left(\tanh^{2}\left(d x +c \right)\right)+1\right)}{4 d \left(-\left(\tanh^{2}\left(d x +c \right)\right)\right)^{\frac{5}{2}}}"," ",0,"-1/4/d*tanh(d*x+c)*(2*ln(tanh(d*x+c)-1)*tanh(d*x+c)^4+2*ln(1+tanh(d*x+c))*tanh(d*x+c)^4-4*ln(tanh(d*x+c))*tanh(d*x+c)^4+2*tanh(d*x+c)^2+1)/(-tanh(d*x+c)^2)^(5/2)","A"
33,1,43,43,0.104000," ","int((tanh(x)^3)^(1/2),x)","-\frac{\sqrt{\tanh^{3}\left(x \right)}\, \left(4 \left(\sqrt{\tanh}\left(x \right)\right)+\ln \left(\sqrt{\tanh}\left(x \right)-1\right)-\ln \left(\sqrt{\tanh}\left(x \right)+1\right)-2 \arctan \left(\sqrt{\tanh}\left(x \right)\right)\right)}{2 \tanh \left(x \right)^{\frac{3}{2}}}"," ",0,"-1/2*(tanh(x)^3)^(1/2)*(4*tanh(x)^(1/2)+ln(tanh(x)^(1/2)-1)-ln(tanh(x)^(1/2)+1)-2*arctan(tanh(x)^(1/2)))/tanh(x)^(3/2)","A"
34,1,76,66,0.095000," ","int((a*tanh(x)^3)^(3/2),x)","-\frac{\left(a \left(\tanh^{3}\left(x \right)\right)\right)^{\frac{3}{2}} \left(21 a^{\frac{7}{2}} \arctan \left(\frac{\sqrt{a \tanh \left(x \right)}}{\sqrt{a}}\right)-21 a^{\frac{7}{2}} \arctanh \left(\frac{\sqrt{a \tanh \left(x \right)}}{\sqrt{a}}\right)+6 \left(a \tanh \left(x \right)\right)^{\frac{7}{2}}+14 a^{2} \left(a \tanh \left(x \right)\right)^{\frac{3}{2}}\right)}{21 \tanh \left(x \right)^{3} \left(a \tanh \left(x \right)\right)^{\frac{3}{2}} a^{2}}"," ",0,"-1/21*(a*tanh(x)^3)^(3/2)*(21*a^(7/2)*arctan((a*tanh(x))^(1/2)/a^(1/2))-21*a^(7/2)*arctanh((a*tanh(x))^(1/2)/a^(1/2))+6*(a*tanh(x))^(7/2)+14*a^2*(a*tanh(x))^(3/2))/tanh(x)^3/(a*tanh(x))^(3/2)/a^2","A"
35,1,62,49,0.090000," ","int((a*tanh(x)^3)^(1/2),x)","-\frac{\sqrt{a \left(\tanh^{3}\left(x \right)\right)}\, \left(2 \sqrt{a \tanh \left(x \right)}-\sqrt{a}\, \arctan \left(\frac{\sqrt{a \tanh \left(x \right)}}{\sqrt{a}}\right)-\sqrt{a}\, \arctanh \left(\frac{\sqrt{a \tanh \left(x \right)}}{\sqrt{a}}\right)\right)}{\tanh \left(x \right) \sqrt{a \tanh \left(x \right)}}"," ",0,"-(a*tanh(x)^3)^(1/2)*(2*(a*tanh(x))^(1/2)-a^(1/2)*arctan((a*tanh(x))^(1/2)/a^(1/2))-a^(1/2)*arctanh((a*tanh(x))^(1/2)/a^(1/2)))/tanh(x)/(a*tanh(x))^(1/2)","A"
36,1,65,50,0.103000," ","int(1/(a*tanh(x)^3)^(1/2),x)","-\frac{\tanh \left(x \right) \left(2 a^{\frac{5}{2}}+\arctan \left(\frac{\sqrt{a \tanh \left(x \right)}}{\sqrt{a}}\right) a^{2} \sqrt{a \tanh \left(x \right)}-\arctanh \left(\frac{\sqrt{a \tanh \left(x \right)}}{\sqrt{a}}\right) a^{2} \sqrt{a \tanh \left(x \right)}\right)}{\sqrt{a \left(\tanh^{3}\left(x \right)\right)}\, a^{\frac{5}{2}}}"," ",0,"-tanh(x)*(2*a^(5/2)+arctan((a*tanh(x))^(1/2)/a^(1/2))*a^2*(a*tanh(x))^(1/2)-arctanh((a*tanh(x))^(1/2)/a^(1/2))*a^2*(a*tanh(x))^(1/2))/(a*tanh(x)^3)^(1/2)/a^(5/2)","A"
37,1,46,57,0.085000," ","int((a*tanh(x)^4)^(3/2),x)","-\frac{\left(a \left(\tanh^{4}\left(x \right)\right)\right)^{\frac{3}{2}} \left(6 \left(\tanh^{5}\left(x \right)\right)+10 \left(\tanh^{3}\left(x \right)\right)+15 \ln \left(\tanh \left(x \right)-1\right)-15 \ln \left(1+\tanh \left(x \right)\right)+30 \tanh \left(x \right)\right)}{30 \tanh \left(x \right)^{6}}"," ",0,"-1/30*(a*tanh(x)^4)^(3/2)*(6*tanh(x)^5+10*tanh(x)^3+15*ln(tanh(x)-1)-15*ln(1+tanh(x))+30*tanh(x))/tanh(x)^6","A"
38,1,32,27,0.089000," ","int((a*tanh(x)^4)^(1/2),x)","-\frac{\sqrt{a \left(\tanh^{4}\left(x \right)\right)}\, \left(2 \tanh \left(x \right)+\ln \left(\tanh \left(x \right)-1\right)-\ln \left(1+\tanh \left(x \right)\right)\right)}{2 \tanh \left(x \right)^{2}}"," ",0,"-1/2*(a*tanh(x)^4)^(1/2)*(2*tanh(x)+ln(tanh(x)-1)-ln(1+tanh(x)))/tanh(x)^2","A"
39,1,32,27,0.100000," ","int(1/(a*tanh(x)^4)^(1/2),x)","-\frac{\tanh \left(x \right) \left(\ln \left(\tanh \left(x \right)-1\right) \tanh \left(x \right)-\ln \left(1+\tanh \left(x \right)\right) \tanh \left(x \right)+2\right)}{2 \sqrt{a \left(\tanh^{4}\left(x \right)\right)}}"," ",0,"-1/2*tanh(x)*(ln(tanh(x)-1)*tanh(x)-ln(1+tanh(x))*tanh(x)+2)/(a*tanh(x)^4)^(1/2)","A"
40,0,0,53,6.173000," ","int((b*tanh(d*x+c)^m)^n,x)","\int \left(b \left(\tanh^{m}\left(d x +c \right)\right)\right)^{n}\, dx"," ",0,"int((b*tanh(d*x+c)^m)^n,x)","F"
41,1,81,96,0.010000," ","int((a+a*tanh(d*x+c))^5,x)","-\frac{a^{5} \left(\tanh^{4}\left(d x +c \right)\right)}{4 d}-\frac{5 a^{5} \left(\tanh^{3}\left(d x +c \right)\right)}{3 d}-\frac{11 a^{5} \left(\tanh^{2}\left(d x +c \right)\right)}{2 d}-\frac{15 a^{5} \tanh \left(d x +c \right)}{d}-\frac{16 a^{5} \ln \left(\tanh \left(d x +c \right)-1\right)}{d}"," ",0,"-1/4/d*a^5*tanh(d*x+c)^4-5/3/d*a^5*tanh(d*x+c)^3-11/2/d*a^5*tanh(d*x+c)^2-15*a^5*tanh(d*x+c)/d-16/d*a^5*ln(tanh(d*x+c)-1)","A"
42,1,65,75,0.011000," ","int((a+a*tanh(d*x+c))^4,x)","-\frac{a^{4} \left(\tanh^{3}\left(d x +c \right)\right)}{3 d}-\frac{2 a^{4} \left(\tanh^{2}\left(d x +c \right)\right)}{d}-\frac{7 a^{4} \tanh \left(d x +c \right)}{d}-\frac{8 a^{4} \ln \left(\tanh \left(d x +c \right)-1\right)}{d}"," ",0,"-1/3/d*a^4*tanh(d*x+c)^3-2/d*a^4*tanh(d*x+c)^2-7*a^4*tanh(d*x+c)/d-8/d*a^4*ln(tanh(d*x+c)-1)","A"
43,1,49,54,0.010000," ","int((a+a*tanh(d*x+c))^3,x)","-\frac{a^{3} \left(\tanh^{2}\left(d x +c \right)\right)}{2 d}-\frac{3 a^{3} \tanh \left(d x +c \right)}{d}-\frac{4 a^{3} \ln \left(\tanh \left(d x +c \right)-1\right)}{d}"," ",0,"-1/2/d*a^3*tanh(d*x+c)^2-3*a^3*tanh(d*x+c)/d-4/d*a^3*ln(tanh(d*x+c)-1)","A"
44,1,33,36,0.010000," ","int((a+a*tanh(d*x+c))^2,x)","-\frac{a^{2} \tanh \left(d x +c \right)}{d}-\frac{2 a^{2} \ln \left(\tanh \left(d x +c \right)-1\right)}{d}"," ",0,"-a^2*tanh(d*x+c)/d-2/d*a^2*ln(tanh(d*x+c)-1)","A"
45,1,54,24,0.104000," ","int(1/(a+a*tanh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{4 d a}-\frac{1}{2 d a \left(1+\tanh \left(d x +c \right)\right)}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{4 d a}"," ",0,"-1/4/d/a*ln(tanh(d*x+c)-1)-1/2/d/a/(1+tanh(d*x+c))+1/4/d/a*ln(1+tanh(d*x+c))","B"
46,1,72,45,0.083000," ","int(1/(a+a*tanh(d*x+c))^2,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{8 d \,a^{2}}-\frac{1}{4 d \,a^{2} \left(1+\tanh \left(d x +c \right)\right)^{2}}-\frac{1}{4 d \,a^{2} \left(1+\tanh \left(d x +c \right)\right)}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{8 d \,a^{2}}"," ",0,"-1/8/d/a^2*ln(tanh(d*x+c)-1)-1/4/d/a^2/(1+tanh(d*x+c))^2-1/4/d/a^2/(1+tanh(d*x+c))+1/8/d/a^2*ln(1+tanh(d*x+c))","A"
47,1,90,65,0.079000," ","int(1/(a+a*tanh(d*x+c))^3,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{16 a^{3} d}-\frac{1}{6 a^{3} d \left(1+\tanh \left(d x +c \right)\right)^{3}}-\frac{1}{8 a^{3} d \left(1+\tanh \left(d x +c \right)\right)^{2}}-\frac{1}{8 a^{3} d \left(1+\tanh \left(d x +c \right)\right)}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{16 a^{3} d}"," ",0,"-1/16/a^3/d*ln(tanh(d*x+c)-1)-1/6/a^3/d/(1+tanh(d*x+c))^3-1/8/a^3/d/(1+tanh(d*x+c))^2-1/8/a^3/d/(1+tanh(d*x+c))+1/16/a^3/d*ln(1+tanh(d*x+c))","A"
48,1,108,86,0.099000," ","int(1/(a+a*tanh(d*x+c))^4,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{32 d \,a^{4}}-\frac{1}{8 d \,a^{4} \left(1+\tanh \left(d x +c \right)\right)^{4}}-\frac{1}{12 d \,a^{4} \left(1+\tanh \left(d x +c \right)\right)^{3}}-\frac{1}{16 d \,a^{4} \left(1+\tanh \left(d x +c \right)\right)^{2}}-\frac{1}{16 d \,a^{4} \left(1+\tanh \left(d x +c \right)\right)}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{32 d \,a^{4}}"," ",0,"-1/32/d/a^4*ln(tanh(d*x+c)-1)-1/8/d/a^4/(1+tanh(d*x+c))^4-1/12/d/a^4/(1+tanh(d*x+c))^3-1/16/d/a^4/(1+tanh(d*x+c))^2-1/16/d/a^4/(1+tanh(d*x+c))+1/32/d/a^4*ln(1+tanh(d*x+c))","A"
49,1,126,109,0.095000," ","int(1/(a+a*tanh(d*x+c))^5,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{64 d \,a^{5}}-\frac{1}{10 d \,a^{5} \left(1+\tanh \left(d x +c \right)\right)^{5}}-\frac{1}{16 d \,a^{5} \left(1+\tanh \left(d x +c \right)\right)^{4}}-\frac{1}{24 d \,a^{5} \left(1+\tanh \left(d x +c \right)\right)^{3}}-\frac{1}{32 d \,a^{5} \left(1+\tanh \left(d x +c \right)\right)^{2}}-\frac{1}{32 d \,a^{5} \left(1+\tanh \left(d x +c \right)\right)}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{64 d \,a^{5}}"," ",0,"-1/64/d/a^5*ln(tanh(d*x+c)-1)-1/10/d/a^5/(1+tanh(d*x+c))^5-1/16/d/a^5/(1+tanh(d*x+c))^4-1/24/d/a^5/(1+tanh(d*x+c))^3-1/32/d/a^5/(1+tanh(d*x+c))^2-1/32/d/a^5/(1+tanh(d*x+c))+1/64/d/a^5*ln(1+tanh(d*x+c))","A"
50,1,43,42,0.053000," ","int((1+tanh(x))^(7/2),x)","8 \arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-8 \sqrt{1+\tanh \left(x \right)}-\frac{4 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}{3}-\frac{2 \left(1+\tanh \left(x \right)\right)^{\frac{5}{2}}}{5}"," ",0,"8*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-8*(1+tanh(x))^(1/2)-4/3*(1+tanh(x))^(3/2)-2/5*(1+tanh(x))^(5/2)","A"
51,1,35,34,0.052000," ","int((1+tanh(x))^(5/2),x)","4 \arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-4 \sqrt{1+\tanh \left(x \right)}-\frac{2 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}{3}"," ",0,"4*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-4*(1+tanh(x))^(1/2)-2/3*(1+tanh(x))^(3/2)","A"
52,1,27,26,0.048000," ","int((1+tanh(x))^(3/2),x)","2 \arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\tanh \left(x \right)}"," ",0,"2*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+tanh(x))^(1/2)","A"
53,1,17,16,0.060000," ","int((1+tanh(x))^(1/2),x)","\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}"," ",0,"arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)","A"
54,1,27,26,0.066000," ","int(1/(1+tanh(x))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{2}-\frac{1}{\sqrt{1+\tanh \left(x \right)}}"," ",0,"1/2*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-1/(1+tanh(x))^(1/2)","A"
55,1,35,34,0.058000," ","int(1/(1+tanh(x))^(3/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{4}-\frac{1}{2 \sqrt{1+\tanh \left(x \right)}}-\frac{1}{3 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}"," ",0,"1/4*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-1/2/(1+tanh(x))^(1/2)-1/3/(1+tanh(x))^(3/2)","A"
56,1,43,42,0.063000," ","int(1/(1+tanh(x))^(5/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{8}-\frac{1}{4 \sqrt{1+\tanh \left(x \right)}}-\frac{1}{5 \left(1+\tanh \left(x \right)\right)^{\frac{5}{2}}}-\frac{1}{6 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}"," ",0,"1/8*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-1/4/(1+tanh(x))^(1/2)-1/5/(1+tanh(x))^(5/2)-1/6/(1+tanh(x))^(3/2)","A"
57,1,322,136,0.012000," ","int((a+b*tanh(d*x+c))^5,x)","-\frac{\left(\tanh^{2}\left(d x +c \right)\right) b^{5}}{2 d}-\frac{a^{5} \ln \left(\tanh \left(d x +c \right)-1\right)}{2 d}-\frac{5 \ln \left(\tanh \left(d x +c \right)-1\right) a^{4} b}{2 d}-\frac{5 \ln \left(\tanh \left(d x +c \right)-1\right) a^{3} b^{2}}{d}-\frac{5 \ln \left(\tanh \left(d x +c \right)-1\right) a^{2} b^{3}}{d}-\frac{5 \ln \left(\tanh \left(d x +c \right)-1\right) a \,b^{4}}{2 d}-\frac{\ln \left(\tanh \left(d x +c \right)-1\right) b^{5}}{2 d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right) a^{5}}{2 d}-\frac{5 \ln \left(1+\tanh \left(d x +c \right)\right) a^{4} b}{2 d}+\frac{5 \ln \left(1+\tanh \left(d x +c \right)\right) a^{3} b^{2}}{d}-\frac{5 \ln \left(1+\tanh \left(d x +c \right)\right) a^{2} b^{3}}{d}+\frac{5 \ln \left(1+\tanh \left(d x +c \right)\right) a \,b^{4}}{2 d}-\frac{\ln \left(1+\tanh \left(d x +c \right)\right) b^{5}}{2 d}-\frac{5 \left(\tanh^{3}\left(d x +c \right)\right) a \,b^{4}}{3 d}-\frac{5 \left(\tanh^{2}\left(d x +c \right)\right) a^{2} b^{3}}{d}-\frac{5 a \,b^{4} \tanh \left(d x +c \right)}{d}-\frac{10 a^{3} b^{2} \tanh \left(d x +c \right)}{d}-\frac{b^{5} \left(\tanh^{4}\left(d x +c \right)\right)}{4 d}"," ",0,"-1/2/d*tanh(d*x+c)^2*b^5-1/2/d*a^5*ln(tanh(d*x+c)-1)-5/2/d*ln(tanh(d*x+c)-1)*a^4*b-5/d*ln(tanh(d*x+c)-1)*a^3*b^2-5/d*ln(tanh(d*x+c)-1)*a^2*b^3-5/2/d*ln(tanh(d*x+c)-1)*a*b^4-1/2/d*ln(tanh(d*x+c)-1)*b^5+1/2/d*ln(1+tanh(d*x+c))*a^5-5/2/d*ln(1+tanh(d*x+c))*a^4*b+5/d*ln(1+tanh(d*x+c))*a^3*b^2-5/d*ln(1+tanh(d*x+c))*a^2*b^3+5/2/d*ln(1+tanh(d*x+c))*a*b^4-1/2/d*ln(1+tanh(d*x+c))*b^5-5/3/d*tanh(d*x+c)^3*a*b^4-5/d*tanh(d*x+c)^2*a^2*b^3-5/d*a*b^4*tanh(d*x+c)-10/d*a^3*b^2*tanh(d*x+c)-1/4/d*b^5*tanh(d*x+c)^4","B"
58,1,246,99,0.014000," ","int((a+b*tanh(d*x+c))^4,x)","-\frac{b^{4} \left(\tanh^{3}\left(d x +c \right)\right)}{3 d}-\frac{2 \left(\tanh^{2}\left(d x +c \right)\right) a \,b^{3}}{d}-\frac{6 \tanh \left(d x +c \right) a^{2} b^{2}}{d}-\frac{\tanh \left(d x +c \right) b^{4}}{d}-\frac{a^{4} \ln \left(\tanh \left(d x +c \right)-1\right)}{2 d}-\frac{2 \ln \left(\tanh \left(d x +c \right)-1\right) a^{3} b}{d}-\frac{3 \ln \left(\tanh \left(d x +c \right)-1\right) a^{2} b^{2}}{d}-\frac{2 \ln \left(\tanh \left(d x +c \right)-1\right) a \,b^{3}}{d}-\frac{\ln \left(\tanh \left(d x +c \right)-1\right) b^{4}}{2 d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right) a^{4}}{2 d}-\frac{2 \ln \left(1+\tanh \left(d x +c \right)\right) a^{3} b}{d}+\frac{3 \ln \left(1+\tanh \left(d x +c \right)\right) a^{2} b^{2}}{d}-\frac{2 \ln \left(1+\tanh \left(d x +c \right)\right) a \,b^{3}}{d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right) b^{4}}{2 d}"," ",0,"-1/3/d*b^4*tanh(d*x+c)^3-2/d*tanh(d*x+c)^2*a*b^3-6/d*tanh(d*x+c)*a^2*b^2-1/d*tanh(d*x+c)*b^4-1/2/d*a^4*ln(tanh(d*x+c)-1)-2/d*ln(tanh(d*x+c)-1)*a^3*b-3/d*ln(tanh(d*x+c)-1)*a^2*b^2-2/d*ln(tanh(d*x+c)-1)*a*b^3-1/2/d*ln(tanh(d*x+c)-1)*b^4+1/2/d*ln(1+tanh(d*x+c))*a^4-2/d*ln(1+tanh(d*x+c))*a^3*b+3/d*ln(1+tanh(d*x+c))*a^2*b^2-2/d*ln(1+tanh(d*x+c))*a*b^3+1/2/d*ln(1+tanh(d*x+c))*b^4","B"
59,1,173,67,0.014000," ","int((a+b*tanh(d*x+c))^3,x)","-\frac{b^{3} \left(\tanh^{2}\left(d x +c \right)\right)}{2 d}-\frac{3 a \,b^{2} \tanh \left(d x +c \right)}{d}-\frac{a^{3} \ln \left(\tanh \left(d x +c \right)-1\right)}{2 d}-\frac{3 \ln \left(\tanh \left(d x +c \right)-1\right) a^{2} b}{2 d}-\frac{3 \ln \left(\tanh \left(d x +c \right)-1\right) a \,b^{2}}{2 d}-\frac{\ln \left(\tanh \left(d x +c \right)-1\right) b^{3}}{2 d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right) a^{3}}{2 d}-\frac{3 \ln \left(1+\tanh \left(d x +c \right)\right) a^{2} b}{2 d}+\frac{3 \ln \left(1+\tanh \left(d x +c \right)\right) a \,b^{2}}{2 d}-\frac{\ln \left(1+\tanh \left(d x +c \right)\right) b^{3}}{2 d}"," ",0,"-1/2/d*b^3*tanh(d*x+c)^2-3*a*b^2*tanh(d*x+c)/d-1/2/d*a^3*ln(tanh(d*x+c)-1)-3/2/d*ln(tanh(d*x+c)-1)*a^2*b-3/2/d*ln(tanh(d*x+c)-1)*a*b^2-1/2/d*ln(tanh(d*x+c)-1)*b^3+1/2/d*ln(1+tanh(d*x+c))*a^3-3/2/d*ln(1+tanh(d*x+c))*a^2*b+3/2/d*ln(1+tanh(d*x+c))*a*b^2-1/2/d*ln(1+tanh(d*x+c))*b^3","B"
60,1,116,38,0.012000," ","int((a+b*tanh(d*x+c))^2,x)","-\frac{b^{2} \tanh \left(d x +c \right)}{d}-\frac{a^{2} \ln \left(\tanh \left(d x +c \right)-1\right)}{2 d}-\frac{\ln \left(\tanh \left(d x +c \right)-1\right) a b}{d}-\frac{\ln \left(\tanh \left(d x +c \right)-1\right) b^{2}}{2 d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right) a^{2}}{2 d}-\frac{\ln \left(1+\tanh \left(d x +c \right)\right) a b}{d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right) b^{2}}{2 d}"," ",0,"-b^2*tanh(d*x+c)/d-1/2/d*a^2*ln(tanh(d*x+c)-1)-1/d*ln(tanh(d*x+c)-1)*a*b-1/2/d*ln(tanh(d*x+c)-1)*b^2+1/2/d*ln(1+tanh(d*x+c))*a^2-1/d*ln(1+tanh(d*x+c))*a*b+1/2/d*ln(1+tanh(d*x+c))*b^2","B"
61,1,76,50,0.089000," ","int(1/(a+b*tanh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{d \left(2 b +2 a \right)}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{d \left(2 a -2 b \right)}-\frac{b \ln \left(a +b \tanh \left(d x +c \right)\right)}{d \left(a -b \right) \left(a +b \right)}"," ",0,"-1/d/(2*b+2*a)*ln(tanh(d*x+c)-1)+1/d/(2*a-2*b)*ln(1+tanh(d*x+c))-1/d*b/(a-b)/(a+b)*ln(a+b*tanh(d*x+c))","A"
62,1,101,85,0.102000," ","int(1/(a+b*tanh(d*x+c))^2,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{2 d \left(a +b \right)^{2}}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{2 d \left(a -b \right)^{2}}+\frac{b}{d \left(a -b \right) \left(a +b \right) \left(a +b \tanh \left(d x +c \right)\right)}-\frac{2 a b \ln \left(a +b \tanh \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(tanh(d*x+c)-1)+1/2/d/(a-b)^2*ln(1+tanh(d*x+c))+1/d*b/(a-b)/(a+b)/(a+b*tanh(d*x+c))-2/d*a*b/(a+b)^2/(a-b)^2*ln(a+b*tanh(d*x+c))","A"
63,1,166,127,0.106000," ","int(1/(a+b*tanh(d*x+c))^3,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{2 d \left(a +b \right)^{3}}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{2 d \left(a -b \right)^{3}}+\frac{b}{2 d \left(a -b \right) \left(a +b \right) \left(a +b \tanh \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 \tanh \left(d x +c \right)\right)}-\frac{3 b \ln \left(a +b \tanh \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 \tanh \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(tanh(d*x+c)-1)+1/2/d/(a-b)^3*ln(1+tanh(d*x+c))+1/2/d*b/(a-b)/(a+b)/(a+b*tanh(d*x+c))^2+2/d*a*b/(a+b)^2/(a-b)^2/(a+b*tanh(d*x+c))-3/d*b/(a+b)^3/(a-b)^3*ln(a+b*tanh(d*x+c))*a^2-1/d*b^3/(a+b)^3/(a-b)^3*ln(a+b*tanh(d*x+c))","A"
64,1,230,167,0.123000," ","int(1/(a+b*tanh(d*x+c))^4,x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{2 d \left(a +b \right)^{4}}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{2 d \left(a -b \right)^{4}}+\frac{b}{3 d \left(a -b \right) \left(a +b \right) \left(a +b \tanh \left(d x +c \right)\right)^{3}}+\frac{a b}{d \left(a +b \right)^{2} \left(a -b \right)^{2} \left(a +b \tanh \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 \tanh \left(d x +c \right)\right)}+\frac{b^{3}}{d \left(a +b \right)^{3} \left(a -b \right)^{3} \left(a +b \tanh \left(d x +c \right)\right)}-\frac{4 b \,a^{3} \ln \left(a +b \tanh \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 \tanh \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(tanh(d*x+c)-1)+1/2/d/(a-b)^4*ln(1+tanh(d*x+c))+1/3/d*b/(a-b)/(a+b)/(a+b*tanh(d*x+c))^3+1/d*a*b/(a+b)^2/(a-b)^2/(a+b*tanh(d*x+c))^2+3/d*b/(a+b)^3/(a-b)^3/(a+b*tanh(d*x+c))*a^2+1/d*b^3/(a+b)^3/(a-b)^3/(a+b*tanh(d*x+c))-4/d*b*a^3/(a+b)^4/(a-b)^4*ln(a+b*tanh(d*x+c))-4/d*b^3*a/(a+b)^4/(a-b)^4*ln(a+b*tanh(d*x+c))","A"
65,1,46,27,0.088000," ","int(1/(4+6*tanh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{20 d}-\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{4 d}+\frac{3 \ln \left(2+3 \tanh \left(d x +c \right)\right)}{10 d}"," ",0,"-1/20/d*ln(tanh(d*x+c)-1)-1/4/d*ln(1+tanh(d*x+c))+3/10/d*ln(2+3*tanh(d*x+c))","A"
66,1,46,27,0.088000," ","int(1/(4-6*tanh(d*x+c)),x)","-\frac{3 \ln \left(-2+3 \tanh \left(d x +c \right)\right)}{10 d}+\frac{\ln \left(\tanh \left(d x +c \right)-1\right)}{4 d}+\frac{\ln \left(1+\tanh \left(d x +c \right)\right)}{20 d}"," ",0,"-3/10/d*ln(-2+3*tanh(d*x+c))+1/4/d*ln(tanh(d*x+c)-1)+1/20/d*ln(1+tanh(d*x+c))","A"
67,1,63,62,0.128000," ","int((a+b*tanh(d*x+c))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{a +b \tanh \left(d x +c \right)}}{\sqrt{a +b}}\right) \sqrt{a +b}}{d}-\frac{\sqrt{-a +b}\, \arctan \left(\frac{\sqrt{a +b \tanh \left(d x +c \right)}}{\sqrt{-a +b}}\right)}{d}"," ",0,"arctanh((a+b*tanh(d*x+c))^(1/2)/(a+b)^(1/2))*(a+b)^(1/2)/d-1/d*(-a+b)^(1/2)*arctan((a+b*tanh(d*x+c))^(1/2)/(-a+b)^(1/2))","A"
68,1,62,62,0.105000," ","int(1/(a+b*tanh(d*x+c))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{a +b \tanh \left(d x +c \right)}}{\sqrt{a +b}}\right)}{d \sqrt{a +b}}+\frac{\arctan \left(\frac{\sqrt{a +b \tanh \left(d x +c \right)}}{\sqrt{-a +b}}\right)}{d \sqrt{-a +b}}"," ",0,"arctanh((a+b*tanh(d*x+c))^(1/2)/(a+b)^(1/2))/d/(a+b)^(1/2)+1/d/(-a+b)^(1/2)*arctan((a+b*tanh(d*x+c))^(1/2)/(-a+b)^(1/2))","A"
69,1,98,48,0.089000," ","int(sinh(x)^4/(1+tanh(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)}-\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{7}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{1}{12 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\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)^3-1/8/(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)^5-7/8/(tanh(1/2*x)+1)^4+1/12/(tanh(1/2*x)+1)^3+1/8/(tanh(1/2*x)+1)^2+1/16*ln(tanh(1/2*x)+1)","B"
70,1,72,19,0.072000," ","int(sinh(x)^3/(1+tanh(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{1}{8 \tanh \left(\frac{x}{2}\right)-8}+\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{2}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{1}{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+1/8/(tanh(1/2*x)-1)+2/5/(tanh(1/2*x)+1)^5-1/(tanh(1/2*x)+1)^4+2/3/(tanh(1/2*x)+1)^3-1/8/(tanh(1/2*x)+1)","B"
71,1,68,30,0.076000," ","int(sinh(x)^2/(1+tanh(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}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\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)^3-1/2/(tanh(1/2*x)+1)^2-1/8*ln(tanh(1/2*x)+1)","B"
72,1,42,13,0.067000," ","int(sinh(x)/(1+tanh(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"
73,1,17,12,0.094000," ","int(csch(x)/(1+tanh(x)),x)","\frac{2}{\tanh \left(\frac{x}{2}\right)+1}+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2/(tanh(1/2*x)+1)+ln(tanh(1/2*x))","A"
74,1,32,15,0.089000," ","int(csch(x)^2/(1+tanh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2}+2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\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)+2*ln(tanh(1/2*x)+1)-1/2/tanh(1/2*x)-ln(tanh(1/2*x))","B"
75,1,39,14,0.101000," ","int(csch(x)^3/(1+tanh(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}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\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+1/2*ln(tanh(1/2*x))","B"
76,1,48,13,0.105000," ","int(csch(x)^4/(1+tanh(x)),x)","-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{\tanh \left(\frac{x}{2}\right)}{8}-\frac{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)}+\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}"," ",0,"-1/24*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2-1/8*tanh(1/2*x)-1/24/tanh(1/2*x)^3-1/8/tanh(1/2*x)+1/8/tanh(1/2*x)^2","B"
77,1,55,26,0.106000," ","int(csch(x)^5/(1+tanh(x)),x)","\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{\tanh \left(\frac{x}{2}\right)}{8}+\frac{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{1}{64 \tanh \left(\frac{x}{2}\right)^{4}}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8}"," ",0,"1/64*tanh(1/2*x)^4-1/24*tanh(1/2*x)^3+1/8*tanh(1/2*x)+1/24/tanh(1/2*x)^3-1/64/tanh(1/2*x)^4-1/8/tanh(1/2*x)-1/8*ln(tanh(1/2*x))","B"
78,1,80,25,0.106000," ","int(csch(x)^6/(1+tanh(x)),x)","-\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{160}+\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{96}-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16}+\frac{\tanh \left(\frac{x}{2}\right)}{16}+\frac{1}{96 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{1}{64 \tanh \left(\frac{x}{2}\right)^{4}}+\frac{1}{16 \tanh \left(\frac{x}{2}\right)}-\frac{1}{16 \tanh \left(\frac{x}{2}\right)^{2}}-\frac{1}{160 \tanh \left(\frac{x}{2}\right)^{5}}"," ",0,"-1/160*tanh(1/2*x)^5+1/64*tanh(1/2*x)^4+1/96*tanh(1/2*x)^3-1/16*tanh(1/2*x)^2+1/16*tanh(1/2*x)+1/96/tanh(1/2*x)^3+1/64/tanh(1/2*x)^4+1/16/tanh(1/2*x)-1/16/tanh(1/2*x)^2-1/160/tanh(1/2*x)^5","B"
79,1,103,34,0.133000," ","int(csch(x)^7/(1+tanh(x)),x)","\frac{\left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{384}-\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{160}-\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{128}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{32}-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{128}-\frac{\tanh \left(\frac{x}{2}\right)}{16}-\frac{1}{32 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{1}{128 \tanh \left(\frac{x}{2}\right)^{4}}+\frac{1}{16 \tanh \left(\frac{x}{2}\right)}+\frac{1}{128 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{16}-\frac{1}{384 \tanh \left(\frac{x}{2}\right)^{6}}+\frac{1}{160 \tanh \left(\frac{x}{2}\right)^{5}}"," ",0,"1/384*tanh(1/2*x)^6-1/160*tanh(1/2*x)^5-1/128*tanh(1/2*x)^4+1/32*tanh(1/2*x)^3-1/128*tanh(1/2*x)^2-1/16*tanh(1/2*x)-1/32/tanh(1/2*x)^3+1/128/tanh(1/2*x)^4+1/16/tanh(1/2*x)+1/128/tanh(1/2*x)^2+1/16*ln(tanh(1/2*x))-1/384/tanh(1/2*x)^6+1/160/tanh(1/2*x)^5","B"
80,1,320,139,0.125000," ","int(sinh(x)^4/(a+b*tanh(x)),x)","-\frac{a^{4} b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{8}{\left(32 a +32 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{32}{\left(64 a +64 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{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{b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 a^{2} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 \left(a +b \right)^{3}}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{8 \left(a +b \right)^{3}}-\frac{8}{\left(32 a -32 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{32}{\left(64 a -64 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{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{b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 a^{2} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 \left(a -b \right)^{3}}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{8 \left(a -b \right)^{3}}"," ",0,"-a^4*b/(a-b)^3/(a+b)^3*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+8/(32*a+32*b)/(tanh(1/2*x)-1)^4+32/(64*a+64*b)/(tanh(1/2*x)-1)^3-1/8/(a+b)^2/(tanh(1/2*x)-1)^2*a+1/8/(a+b)^2/(tanh(1/2*x)-1)^2*b-3/8/(a+b)^2/(tanh(1/2*x)-1)*a-1/8/(a+b)^2/(tanh(1/2*x)-1)*b-3/8*a^2/(a+b)^3*ln(tanh(1/2*x)-1)-1/8*a/(a+b)^3*ln(tanh(1/2*x)-1)*b-8/(32*a-32*b)/(tanh(1/2*x)+1)^4+32/(64*a-64*b)/(tanh(1/2*x)+1)^3+1/8/(a-b)^2/(tanh(1/2*x)+1)^2*a+1/8/(a-b)^2/(tanh(1/2*x)+1)^2*b-3/8/(a-b)^2/(tanh(1/2*x)+1)*a+1/8/(a-b)^2/(tanh(1/2*x)+1)*b+3/8*a^2/(a-b)^3*ln(tanh(1/2*x)+1)-1/8*a/(a-b)^3*ln(tanh(1/2*x)+1)*b","B"
81,1,166,129,0.118000," ","int(sinh(x)^3/(a+b*tanh(x)),x)","-\frac{2 a^{3} b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{16}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(16 a +16 b \right)}-\frac{8}{\left(16 a +16 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{8}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{16}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(16 a -16 b \right)}-\frac{a}{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*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-16/3/(tanh(1/2*x)-1)^3/(16*a+16*b)-8/(16*a+16*b)/(tanh(1/2*x)-1)^2+1/2/(a+b)^2/(tanh(1/2*x)-1)*a-8/(16*a-16*b)/(tanh(1/2*x)+1)^2+16/3/(tanh(1/2*x)+1)^3/(16*a-16*b)-1/2/(a-b)^2/(tanh(1/2*x)+1)*a","A"
82,1,145,78,0.115000," ","int(sinh(x)^2/(a+b*tanh(x)),x)","\frac{a^{2} b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{8}{\left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 \left(a +b \right)^{2}}-\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{8}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 \left(a -b \right)^{2}}"," ",0,"a^2*b/(a-b)^2/(a+b)^2*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+4/(8*a+8*b)/(tanh(1/2*x)-1)^2+8/(16*a+16*b)/(tanh(1/2*x)-1)+1/2*a/(a+b)^2*ln(tanh(1/2*x)-1)-4/(8*a-8*b)/(tanh(1/2*x)+1)^2+8/(16*a-16*b)/(tanh(1/2*x)+1)-1/2*a/(a-b)^2*ln(tanh(1/2*x)+1)","A"
83,1,92,68,0.106000," ","int(sinh(x)/(a+b*tanh(x)),x)","\frac{2 a b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{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*a*tanh(1/2*x)+2*b)/(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"
84,1,53,48,0.112000," ","int(csch(x)/(a+b*tanh(x)),x)","-\frac{2 b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{a \sqrt{a^{2}-b^{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-2/a*b/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+1/a*ln(tanh(1/2*x))","A"
85,1,56,29,0.124000," ","int(csch(x)^2/(a+b*tanh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 a}+\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{2}}-\frac{1}{2 a \tanh \left(\frac{x}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}"," ",0,"-1/2/a*tanh(1/2*x)+1/a^2*b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/2/a/tanh(1/2*x)-1/a^2*b*ln(tanh(1/2*x))","A"
86,1,110,74,0.132000," ","int(csch(x)^3/(a+b*tanh(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a}-\frac{\tanh \left(\frac{x}{2}\right) b}{2 a^{2}}+\frac{2 b \sqrt{a^{2}-b^{2}}\, \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{a^{3}}-\frac{1}{8 a \tanh \left(\frac{x}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{3}}+\frac{b}{2 a^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/8/a*tanh(1/2*x)^2-1/2/a^2*tanh(1/2*x)*b+2*b*(a^2-b^2)^(1/2)/a^3*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-1/8/a/tanh(1/2*x)^2-1/2/a*ln(tanh(1/2*x))+1/a^3*ln(tanh(1/2*x))*b^2+1/2/a^2*b/tanh(1/2*x)","A"
87,1,166,74,0.135000," ","int(csch(x)^4/(a+b*tanh(x)),x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 a}+\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 a^{2}}+\frac{3 \tanh \left(\frac{x}{2}\right)}{8 a}-\frac{b^{2} \tanh \left(\frac{x}{2}\right)}{2 a^{3}}-\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{2}}+\frac{b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{4}}-\frac{1}{24 a \tanh \left(\frac{x}{2}\right)^{3}}+\frac{3}{8 a \tanh \left(\frac{x}{2}\right)}-\frac{b^{2}}{2 a^{3} \tanh \left(\frac{x}{2}\right)}+\frac{b}{8 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}-\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{4}}"," ",0,"-1/24/a*tanh(1/2*x)^3+1/8/a^2*b*tanh(1/2*x)^2+3/8/a*tanh(1/2*x)-1/2/a^3*b^2*tanh(1/2*x)-1/a^2*b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+1/a^4*b^3*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/24/a/tanh(1/2*x)^3+3/8/a/tanh(1/2*x)-1/2/a^3/tanh(1/2*x)*b^2+1/8/a^2*b/tanh(1/2*x)^2+1/a^2*b*ln(tanh(1/2*x))-1/a^4*b^3*ln(tanh(1/2*x))","B"
88,1,311,231,0.142000," ","int(csch(x)^5/(a+b*tanh(x)),x)","\frac{\tanh^{4}\left(\frac{x}{2}\right)}{64 a}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{24 a^{2}}-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{2}}{8 a^{3}}+\frac{5 \tanh \left(\frac{x}{2}\right) b}{8 a^{2}}-\frac{\tanh \left(\frac{x}{2}\right) b^{3}}{2 a^{4}}-\frac{2 b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{a \sqrt{a^{2}-b^{2}}}+\frac{4 b^{3} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{a^{3} \sqrt{a^{2}-b^{2}}}-\frac{2 b^{5} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{a^{5} \sqrt{a^{2}-b^{2}}}-\frac{1}{64 a \tanh \left(\frac{x}{2}\right)^{4}}+\frac{1}{8 a \tanh \left(\frac{x}{2}\right)^{2}}-\frac{b^{2}}{8 a^{3} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8 a}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{2 a^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{4}}{a^{5}}+\frac{b}{24 a^{2} \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5 b}{8 a^{2} \tanh \left(\frac{x}{2}\right)}+\frac{b^{3}}{2 a^{4} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/64/a*tanh(1/2*x)^4-1/24/a^2*tanh(1/2*x)^3*b-1/8/a*tanh(1/2*x)^2+1/8/a^3*tanh(1/2*x)^2*b^2+5/8/a^2*tanh(1/2*x)*b-1/2/a^4*tanh(1/2*x)*b^3-2/a*b/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+4*b^3/a^3/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-2*b^5/a^5/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-1/64/a/tanh(1/2*x)^4+1/8/a/tanh(1/2*x)^2-1/8/a^3/tanh(1/2*x)^2*b^2+3/8/a*ln(tanh(1/2*x))-3/2/a^3*ln(tanh(1/2*x))*b^2+1/a^5*ln(tanh(1/2*x))*b^4+1/24/a^2*b/tanh(1/2*x)^3-5/8/a^2*b/tanh(1/2*x)+1/2*b^3/a^4/tanh(1/2*x)","A"
89,1,333,122,0.138000," ","int(csch(x)^6/(a+b*tanh(x)),x)","-\frac{\tanh^{5}\left(\frac{x}{2}\right)}{160 a}+\frac{b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64 a^{2}}+\frac{5 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{96 a}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2}}{24 a^{3}}-\frac{3 b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16 a^{2}}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{3}}{8 a^{4}}-\frac{5 \tanh \left(\frac{x}{2}\right)}{16 a}+\frac{7 b^{2} \tanh \left(\frac{x}{2}\right)}{8 a^{3}}-\frac{\tanh \left(\frac{x}{2}\right) b^{4}}{2 a^{5}}+\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{2}}-\frac{2 b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{4}}+\frac{b^{5} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{6}}-\frac{1}{160 a \tanh \left(\frac{x}{2}\right)^{5}}+\frac{5}{96 a \tanh \left(\frac{x}{2}\right)^{3}}-\frac{b^{2}}{24 a^{3} \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5}{16 a \tanh \left(\frac{x}{2}\right)}+\frac{7 b^{2}}{8 a^{3} \tanh \left(\frac{x}{2}\right)}-\frac{b^{4}}{2 a^{5} \tanh \left(\frac{x}{2}\right)}+\frac{b}{64 a^{2} \tanh \left(\frac{x}{2}\right)^{4}}-\frac{3 b}{16 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{b^{3}}{8 a^{4} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}+\frac{2 b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{4}}-\frac{b^{5} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{6}}"," ",0,"-1/160/a*tanh(1/2*x)^5+1/64/a^2*b*tanh(1/2*x)^4+5/96/a*tanh(1/2*x)^3-1/24/a^3*tanh(1/2*x)^3*b^2-3/16/a^2*b*tanh(1/2*x)^2+1/8/a^4*tanh(1/2*x)^2*b^3-5/16/a*tanh(1/2*x)+7/8/a^3*b^2*tanh(1/2*x)-1/2/a^5*tanh(1/2*x)*b^4+1/a^2*b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-2/a^4*b^3*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+1/a^6*b^5*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/160/a/tanh(1/2*x)^5+5/96/a/tanh(1/2*x)^3-1/24/a^3/tanh(1/2*x)^3*b^2-5/16/a/tanh(1/2*x)+7/8/a^3/tanh(1/2*x)*b^2-1/2/a^5/tanh(1/2*x)*b^4+1/64/a^2*b/tanh(1/2*x)^4-3/16/a^2*b/tanh(1/2*x)^2+1/8/a^4*b^3/tanh(1/2*x)^2-1/a^2*b*ln(tanh(1/2*x))+2/a^4*b^3*ln(tanh(1/2*x))-1/a^6*b^5*ln(tanh(1/2*x))","B"
90,1,29,27,0.126000," ","int(csch(x)/(I+tanh(x)),x)","\sqrt{2}\, \arctan \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2 i\right) \sqrt{2}}{4}\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2^(1/2)*arctan(1/4*(2*tanh(1/2*x)-2*I)*2^(1/2))-I*ln(tanh(1/2*x))","A"
91,1,116,48,0.117000," ","int(cosh(x)^4/(1+tanh(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}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\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}-\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{15}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{25}{12 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{15}{8 \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)}{16}"," ",0,"1/8/(tanh(1/2*x)-1)^4+1/4/(tanh(1/2*x)-1)^3+1/2/(tanh(1/2*x)-1)^2+3/8/(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)^5-15/8/(tanh(1/2*x)+1)^4+25/12/(tanh(1/2*x)+1)^3-15/8/(tanh(1/2*x)+1)^2+1/(tanh(1/2*x)+1)+5/16*ln(tanh(1/2*x)+1)","B"
92,1,80,23,0.091000," ","int(cosh(x)^3/(1+tanh(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{5}{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{5}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{11}{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)^2-5/8/(tanh(1/2*x)-1)-2/5/(tanh(1/2*x)+1)^5+1/(tanh(1/2*x)+1)^4-5/3/(tanh(1/2*x)+1)^3+3/2/(tanh(1/2*x)+1)^2-11/8/(tanh(1/2*x)+1)","B"
93,1,76,30,0.095000," ","int(cosh(x)^2/(1+tanh(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{3}{2 \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)}{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)^3-3/2/(tanh(1/2*x)+1)^2+1/(tanh(1/2*x)+1)+3/8*ln(tanh(1/2*x)+1)","B"
94,1,40,15,0.089000," ","int(cosh(x)/(1+tanh(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{3}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/2/(tanh(1/2*x)-1)-2/3/(tanh(1/2*x)+1)^3+1/(tanh(1/2*x)+1)^2-3/2/(tanh(1/2*x)+1)","B"
95,1,11,10,0.007000," ","int(sech(x)/(1+tanh(x)),x)","-\frac{\mathrm{sech}\left(x \right)}{1+\tanh \left(x \right)}"," ",0,"-sech(x)/(1+tanh(x))","A"
96,1,6,5,0.080000," ","int(sech(x)^2/(1+tanh(x)),x)","\ln \left(1+\tanh \left(x \right)\right)"," ",0,"ln(1+tanh(x))","A"
97,1,21,6,0.084000," ","int(sech(x)^3/(1+tanh(x)),x)","\frac{2}{\tanh^{2}\left(\frac{x}{2}\right)+1}+2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2/(tanh(1/2*x)^2+1)+2*arctan(tanh(1/2*x))","B"
98,1,34,9,0.085000," ","int(sech(x)^4/(1+tanh(x)),x)","-\frac{2 \left(-\left(\tanh^{3}\left(\frac{x}{2}\right)\right)+\tanh^{2}\left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right)\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}"," ",0,"-2*(-tanh(1/2*x)^3+tanh(1/2*x)^2-tanh(1/2*x))/(tanh(1/2*x)^2+1)^2","B"
99,1,41,18,0.087000," ","int(sech(x)^5/(1+tanh(x)),x)","\frac{-\left(\tanh^{5}\left(\frac{x}{2}\right)\right)+2 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+\tanh \left(\frac{x}{2}\right)+\frac{2}{3}}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\arctan \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*(-1/2*tanh(1/2*x)^5+tanh(1/2*x)^4+1/2*tanh(1/2*x)+1/3)/(tanh(1/2*x)^2+1)^3+arctan(tanh(1/2*x))","B"
100,1,56,21,0.089000," ","int(sech(x)^6/(1+tanh(x)),x)","-\frac{2 \left(-\left(\tanh^{7}\left(\frac{x}{2}\right)\right)+\tanh^{6}\left(\frac{x}{2}\right)-\frac{5 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{3}-\frac{5 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}+\tanh^{2}\left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right)\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}"," ",0,"-2*(-tanh(1/2*x)^7+tanh(1/2*x)^6-5/3*tanh(1/2*x)^5-5/3*tanh(1/2*x)^3+tanh(1/2*x)^2-tanh(1/2*x))/(tanh(1/2*x)^2+1)^4","B"
101,1,67,26,0.089000," ","int(sech(x)^7/(1+tanh(x)),x)","\frac{-\frac{5 \left(\tanh^{9}\left(\frac{x}{2}\right)\right)}{4}+2 \left(\tanh^{8}\left(\frac{x}{2}\right)\right)-\frac{\left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{2}+4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2}+\frac{5 \tanh \left(\frac{x}{2}\right)}{4}+\frac{2}{5}}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{4}"," ",0,"2*(-5/8*tanh(1/2*x)^9+tanh(1/2*x)^8-1/4*tanh(1/2*x)^7+2*tanh(1/2*x)^4+1/4*tanh(1/2*x)^3+5/8*tanh(1/2*x)+1/5)/(tanh(1/2*x)^2+1)^5+3/4*arctan(tanh(1/2*x))","B"
102,1,925,130,0.148000," ","int(sech(x)^8/(a+b*tanh(x)),x)","-\frac{12 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{6}}{b^{7}}+\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2}}{b^{3}}-\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{4}}{b^{5}}-\frac{68 \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{3 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right) a^{6}}{b^{7}}+\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right) a^{4}}{b^{5}}-\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right) a^{2}}{b^{3}}-\frac{6 \left(\tanh^{10}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{12 \left(\tanh^{8}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{52 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{82 \left(\tanh^{9}\left(\frac{x}{2}\right)\right) a^{3}}{3 b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{22 \left(\tanh^{9}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{20 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{5}}{b^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{6 \left(\tanh^{10}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{20 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{2 \tanh \left(\frac{x}{2}\right) a^{5}}{b^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{6 \tanh \left(\frac{x}{2}\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{6 \tanh \left(\frac{x}{2}\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{10 \left(\tanh^{9}\left(\frac{x}{2}\right)\right) a^{5}}{b^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{8 \left(\tanh^{8}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{52 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{212 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a}{5 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{12 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{28 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{20 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{5}}{b^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{212 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a}{5 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{10 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{5}}{b^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{82 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3}}{3 b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{22 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{2 \left(\tanh^{11}\left(\frac{x}{2}\right)\right) a^{5}}{b^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{6 \left(\tanh^{11}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{6 \left(\tanh^{11}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{2 \left(\tanh^{10}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{20 \left(\tanh^{8}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}-\frac{8 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{6}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{b}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"20/b^3/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^4*a^2-2/b^5/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^2*a^4+6/b^3/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^2*a^2+2/b^6/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)*a^5-6/b^4/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)*a^3+6/b^2/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)*a+10/b^6/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^9*a^5-82/3/b^4/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^9*a^3+22/b^2/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^9*a+20/b^6/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^7*a^5+6/b^3/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^10*a^2-8/b^5/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^8*a^4-52/b^4/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^7*a^3+212/5/b^2/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^7*a-12/b^5/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^6*a^4+28/b^3/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^6*a^2+20/b^6/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^5*a^5-52/b^4/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^5*a^3+212/5/b^2/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^5*a+10/b^6/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^3*a^5-82/3/b^4/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^3*a^3+22/b^2/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^3*a+2/b^6/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^11*a^5-6/b^4/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^11*a^3+6/b^2/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^11*a-2/b^5/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^10*a^4+20/b^3/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^8*a^2-8/b^5/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^4*a^4-1/b^7*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)*a^6+3/b^5*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)*a^4-3/b^3*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)*a^2-3/b^5*ln(tanh(1/2*x)^2+1)*a^4+3/b^3*ln(tanh(1/2*x)^2+1)*a^2-68/3/b/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^6-6/b/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^10-12/b/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^8-12/b/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^4-6/b/(tanh(1/2*x)^2+1)^6*tanh(1/2*x)^2+1/b^7*ln(tanh(1/2*x)^2+1)*a^6+1/b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/b*ln(tanh(1/2*x)^2+1)","B"
103,1,438,77,0.151000," ","int(sech(x)^6/(a+b*tanh(x)),x)","\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right) a^{4}}{b^{5}}-\frac{2 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right) a^{2}}{b^{3}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{b}-\frac{2 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{6 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{28 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a}{3 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{6 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{28 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{3 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{2 \tanh \left(\frac{x}{2}\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{4 \tanh \left(\frac{x}{2}\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{4}}{b^{5}}+\frac{2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2}}{b^{3}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"1/b^5*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)*a^4-2/b^3*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)*a^2+1/b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-2/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^3+4/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a+2/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^2-4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6-6/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^3+28/3/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a+4/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a^2-4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4-6/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^3+28/3/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a+2/b^3/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^2-4/b/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2-2/b^4/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^3+4/b^2/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a-1/b^5*ln(tanh(1/2*x)^2+1)*a^4+2/b^3*ln(tanh(1/2*x)^2+1)*a^2-1/b*ln(tanh(1/2*x)^2+1)","B"
104,1,143,38,0.121000," ","int(sech(x)^4/(a+b*tanh(x)),x)","-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right) a^{2}}{b^{3}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{b}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 a \tanh \left(\frac{x}{2}\right)}{b^{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^{2}}{b^{3}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"-1/b^3*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)*a^2+1/b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+2/b^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a-2/b/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2+2/b^2/(tanh(1/2*x)^2+1)^2*a*tanh(1/2*x)+1/b^3*ln(tanh(1/2*x)^2+1)*a^2-1/b*ln(tanh(1/2*x)^2+1)","B"
105,1,12,11,0.081000," ","int(sech(x)^2/(a+b*tanh(x)),x)","\frac{\ln \left(a +b \tanh \left(x \right)\right)}{b}"," ",0,"ln(a+b*tanh(x))/b","A"
106,1,55,39,0.043000," ","int(1/(a+b*tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}-\frac{b \ln \left(a +b \tanh \left(x \right)\right)}{\left(a -b \right) \left(a +b \right)}"," ",0,"-1/(2*b+2*a)*ln(tanh(x)-1)+1/(2*a-2*b)*ln(1+tanh(x))-b/(a-b)/(a+b)*ln(a+b*tanh(x))","A"
107,1,175,85,0.125000," ","int(cosh(x)^2/(a+b*tanh(x)),x)","\frac{b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{1}{\left(2 b +2 a \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{2}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 \left(a +b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{\left(a +b \right)^{2}}-\frac{1}{\left(2 a -2 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{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(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+1/(2*b+2*a)/(tanh(1/2*x)-1)^2+2/(4*a+4*b)/(tanh(1/2*x)-1)-1/2*a/(a+b)^2*ln(tanh(1/2*x)-1)-1/(a+b)^2*ln(tanh(1/2*x)-1)*b-1/(2*a-2*b)/(tanh(1/2*x)+1)^2+2/(4*a-4*b)/(tanh(1/2*x)+1)+1/2*a/(a-b)^2*ln(tanh(1/2*x)+1)-1/(a-b)^2*ln(tanh(1/2*x)+1)*b","B"
108,1,354,147,0.129000," ","int(cosh(x)^4/(a+b*tanh(x)),x)","-\frac{b^{5} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{1}{2 \left(2 b +2 a \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{2}{\left(4 a +4 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{9 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{7 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 a^{2} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 \left(a +b \right)^{3}}-\frac{9 a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) 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{1}{2 \left(2 a -2 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{2}{\left(4 a -4 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{7 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{9 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{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(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)+1/2/(2*b+2*a)/(tanh(1/2*x)-1)^4+2/(4*a+4*b)/(tanh(1/2*x)-1)^3+7/8/(a+b)^2/(tanh(1/2*x)-1)^2*a+9/8/(a+b)^2/(tanh(1/2*x)-1)^2*b+5/8/(a+b)^2/(tanh(1/2*x)-1)*a+7/8/(a+b)^2/(tanh(1/2*x)-1)*b-3/8*a^2/(a+b)^3*ln(tanh(1/2*x)-1)-9/8*a/(a+b)^3*ln(tanh(1/2*x)-1)*b-1/(a+b)^3*ln(tanh(1/2*x)-1)*b^2-1/2/(2*a-2*b)/(tanh(1/2*x)+1)^4+2/(4*a-4*b)/(tanh(1/2*x)+1)^3+5/8/(a-b)^2/(tanh(1/2*x)+1)*a-7/8/(a-b)^2/(tanh(1/2*x)+1)*b-7/8/(a-b)^2/(tanh(1/2*x)+1)^2*a+9/8/(a-b)^2/(tanh(1/2*x)+1)^2*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"
109,1,715,143,0.142000," ","int(sech(x)^7/(a+b*tanh(x)),x)","-\frac{5 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3}}{b^{4}}+\frac{15 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a}{4 b^{2}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{5}}{b^{6}}+\frac{12 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{20 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{9 \left(\tanh^{9}\left(\frac{x}{2}\right)\right) a}{4 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{2 \left(\tanh^{8}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{6 \left(\tanh^{8}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{2 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{5 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a}{2 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{8 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{80 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{2}}{3 b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{\left(\tanh^{9}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{6 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right) a^{4}}{b^{4} \sqrt{a^{2}-b^{2}}}-\frac{6 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right) a^{2}}{b^{2} \sqrt{a^{2}-b^{2}}}-\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right) a^{6}}{b^{6} \sqrt{a^{2}-b^{2}}}+\frac{5 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a}{2 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{8 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{52 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2}}{3 b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{\tanh \left(\frac{x}{2}\right) a^{3}}{b^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{9 \tanh \left(\frac{x}{2}\right) a}{4 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\sqrt{a^{2}-b^{2}}}+\frac{6 \left(\tanh^{8}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{56 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{3 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{12 \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{28 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{3 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{2 a^{4}}{b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{14 a^{2}}{3 b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{46}{15 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}"," ",0,"-5/b^4*arctan(tanh(1/2*x))*a^3+15/4/b^2*arctan(tanh(1/2*x))*a+2/b^6*arctan(tanh(1/2*x))*a^5+6/b/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^8+12/b/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^6+56/3/b/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^4+28/3/b/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^2+2/b^5/(tanh(1/2*x)^2+1)^5*a^4-14/3/b^3/(tanh(1/2*x)^2+1)^5*a^2+6/b^4/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))*a^4-6/b^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))*a^2+12/b^5/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^4*a^4-20/b^3/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^6*a^2-9/4/b^2/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^9*a+2/b^5/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^8*a^4-6/b^3/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^8*a^2+2/b^4/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^7*a^3-5/2/b^2/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^7*a+8/b^5/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^6*a^4-80/3/b^3/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^4*a^2+1/b^4/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^9*a^3-2/b^4/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^3*a^3+5/2/b^2/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^3*a+8/b^5/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^2*a^4-52/3/b^3/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^2*a^2-1/b^4/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)*a^3+9/4/b^2/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)*a-2/b^6/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))*a^6+46/15/b/(tanh(1/2*x)^2+1)^5+2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","B"
110,1,316,92,0.156000," ","int(sech(x)^5/(a+b*tanh(x)),x)","\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right) a^{4}}{b^{4} \sqrt{a^{2}-b^{2}}}-\frac{4 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right) a^{2}}{b^{2} \sqrt{a^{2}-b^{2}}}+\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\sqrt{a^{2}-b^{2}}}-\frac{a \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{\tanh \left(\frac{x}{2}\right) a}{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 a^{2}}{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{8}{3 b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3}}{b^{4}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a}{b^{2}}"," ",0,"2/b^4/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))*a^4-4/b^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))*a^2+2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-1/b^2/(tanh(1/2*x)^2+1)^3*a*tanh(1/2*x)^5-2/b^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^4*a^2+4/b/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^4-4/b^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^2*a^2+4/b/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^2+1/b^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*a-2/b^3/(tanh(1/2*x)^2+1)^3*a^2+8/3/b/(tanh(1/2*x)^2+1)^3-2/b^4*arctan(tanh(1/2*x))*a^3+3/b^2*arctan(tanh(1/2*x))*a","B"
111,1,110,52,0.113000," ","int(sech(x)^3/(a+b*tanh(x)),x)","-\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right) a^{2}}{b^{2} \sqrt{a^{2}-b^{2}}}+\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\sqrt{a^{2}-b^{2}}}+\frac{2}{b \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a}{b^{2}}"," ",0,"-2/b^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))*a^2+2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+2/b/(tanh(1/2*x)^2+1)+2/b^2*arctan(tanh(1/2*x))*a","B"
112,1,39,33,0.075000," ","int(sech(x)/(a+b*tanh(x)),x)","\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\sqrt{a^{2}-b^{2}}}"," ",0,"2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","A"
113,1,93,69,0.122000," ","int(cosh(x)/(a+b*tanh(x)),x)","-\frac{2 b^{2} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right) \left(a +b \right) \sqrt{a^{2}-b^{2}}}-\frac{2}{\left(2 a -2 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2}{\left(2 b +2 a \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*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-2/(2*a-2*b)/(tanh(1/2*x)+1)-2/(2*b+2*a)/(tanh(1/2*x)-1)","A"
114,1,198,124,0.129000," ","int(cosh(x)^3/(a+b*tanh(x)),x)","\frac{2 b^{4} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{2}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(2 b +2 a \right)}-\frac{1}{\left(2 b +2 a \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{3 b}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(2 a -2 b \right)}+\frac{1}{\left(2 a -2 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{3 b}{2 \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*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-2/3/(tanh(1/2*x)-1)^3/(2*b+2*a)-1/(2*b+2*a)/(tanh(1/2*x)-1)^2-1/(a+b)^2/(tanh(1/2*x)-1)*a-3/2/(a+b)^2/(tanh(1/2*x)-1)*b-2/3/(tanh(1/2*x)+1)^3/(2*a-2*b)+1/(2*a-2*b)/(tanh(1/2*x)+1)^2-1/(a-b)^2/(tanh(1/2*x)+1)*a+3/2/(a-b)^2/(tanh(1/2*x)+1)*b","A"
115,1,40,35,0.081000," ","int(tanh(x)^5/(1+tanh(x)),x)","-\frac{\left(\tanh^{3}\left(x \right)\right)}{3}+\frac{\left(\tanh^{2}\left(x \right)\right)}{2}-2 \tanh \left(x \right)-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4}+\frac{1}{2+2 \tanh \left(x \right)}+\frac{9 \ln \left(1+\tanh \left(x \right)\right)}{4}"," ",0,"-1/3*tanh(x)^3+1/2*tanh(x)^2-2*tanh(x)-1/4*ln(tanh(x)-1)+1/2/(1+tanh(x))+9/4*ln(1+tanh(x))","A"
116,1,32,31,0.065000," ","int(tanh(x)^4/(1+tanh(x)),x)","-\frac{\left(\tanh^{2}\left(x \right)\right)}{2}+\tanh \left(x \right)-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\tanh \left(x \right)\right)}-\frac{7 \ln \left(1+\tanh \left(x \right)\right)}{4}"," ",0,"-1/2*tanh(x)^2+tanh(x)-1/4*ln(tanh(x)-1)-1/2/(1+tanh(x))-7/4*ln(1+tanh(x))","A"
117,1,28,25,0.052000," ","int(tanh(x)^3/(1+tanh(x)),x)","-\tanh \left(x \right)-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4}+\frac{1}{2+2 \tanh \left(x \right)}+\frac{5 \ln \left(1+\tanh \left(x \right)\right)}{4}"," ",0,"-tanh(x)-1/4*ln(tanh(x)-1)+1/2/(1+tanh(x))+5/4*ln(1+tanh(x))","A"
118,1,24,15,0.059000," ","int(tanh(x)^2/(1+tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\tanh \left(x \right)\right)}-\frac{3 \ln \left(1+\tanh \left(x \right)\right)}{4}"," ",0,"-1/4*ln(tanh(x)-1)-1/2/(1+tanh(x))-3/4*ln(1+tanh(x))","A"
119,1,24,12,0.048000," ","int(tanh(x)/(1+tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4}+\frac{1}{2+2 \tanh \left(x \right)}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{4}"," ",0,"-1/4*ln(tanh(x)-1)+1/2/(1+tanh(x))+1/4*ln(1+tanh(x))","A"
120,1,24,12,0.044000," ","int(1/(1+tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4}-\frac{1}{2 \left(1+\tanh \left(x \right)\right)}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{4}"," ",0,"-1/4*ln(tanh(x)-1)-1/2/(1+tanh(x))+1/4*ln(1+tanh(x))","A"
121,1,43,15,0.080000," ","int(coth(x)/(1+tanh(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-1/2*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)+1)+1/(tanh(1/2*x)+1)^2-3/2*ln(tanh(1/2*x)+1)+ln(tanh(1/2*x))","B"
122,1,59,23,0.091000," ","int(coth(x)^2/(1+tanh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2}-\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{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*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)-1/2/tanh(1/2*x)-ln(tanh(1/2*x))","B"
123,1,75,31,0.098000," ","int(coth(x)^3/(1+tanh(x)),x)","-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{\tanh \left(\frac{x}{2}\right)}{2}-\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{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)}+2 \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-1/8*tanh(1/2*x)^2+1/2*tanh(1/2*x)-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)-1/8/tanh(1/2*x)^2+1/2/tanh(1/2*x)+2*ln(tanh(1/2*x))","B"
124,1,91,35,0.099000," ","int(coth(x)^4/(1+tanh(x)),x)","-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{9 \tanh \left(\frac{x}{2}\right)}{8}-\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{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}-\frac{9}{8 \tanh \left(\frac{x}{2}\right)}-2 \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-1/24*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2-9/8*tanh(1/2*x)-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)-1/24/tanh(1/2*x)^3+1/8/tanh(1/2*x)^2-9/8/tanh(1/2*x)-2*ln(tanh(1/2*x))","B"
125,1,35,34,0.039000," ","int(tanh(x)*(1+tanh(x))^(3/2),x)","2 \arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\tanh \left(x \right)}-\frac{2 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}{3}"," ",0,"2*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+tanh(x))^(1/2)-2/3*(1+tanh(x))^(3/2)","A"
126,1,26,25,0.052000," ","int((1+tanh(x))^(1/2)*tanh(x),x)","\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\tanh \left(x \right)}"," ",0,"arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+tanh(x))^(1/2)","A"
127,1,25,24,0.089000," ","int(tanh(x)/(1+tanh(x))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{2}+\frac{1}{\sqrt{1+\tanh \left(x \right)}}"," ",0,"1/2*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)+1/(1+tanh(x))^(1/2)","A"
128,1,35,34,0.059000," ","int(tanh(x)/(1+tanh(x))^(3/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{4}-\frac{1}{2 \sqrt{1+\tanh \left(x \right)}}+\frac{1}{3 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}"," ",0,"1/4*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-1/2/(1+tanh(x))^(1/2)+1/3/(1+tanh(x))^(3/2)","A"
129,1,35,34,0.064000," ","int(tanh(x)^2*(1+tanh(x))^(3/2),x)","2 \arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-2 \sqrt{1+\tanh \left(x \right)}-\frac{2 \left(1+\tanh \left(x \right)\right)^{\frac{5}{2}}}{5}"," ",0,"2*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-2*(1+tanh(x))^(1/2)-2/5*(1+tanh(x))^(5/2)","A"
130,1,26,25,0.064000," ","int((1+tanh(x))^(1/2)*tanh(x)^2,x)","\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}-\frac{2 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}{3}"," ",0,"arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-2/3*(1+tanh(x))^(3/2)","A"
131,1,35,34,0.085000," ","int(tanh(x)^2/(1+tanh(x))^(1/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{2}-\frac{1}{\sqrt{1+\tanh \left(x \right)}}-2 \sqrt{1+\tanh \left(x \right)}"," ",0,"1/2*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)-1/(1+tanh(x))^(1/2)-2*(1+tanh(x))^(1/2)","A"
132,1,35,34,0.077000," ","int(tanh(x)^2/(1+tanh(x))^(3/2),x)","\frac{\arctanh \left(\frac{\sqrt{1+\tanh \left(x \right)}\, \sqrt{2}}{2}\right) \sqrt{2}}{4}+\frac{3}{2 \sqrt{1+\tanh \left(x \right)}}-\frac{1}{3 \left(1+\tanh \left(x \right)\right)^{\frac{3}{2}}}"," ",0,"1/4*arctanh(1/2*(1+tanh(x))^(1/2)*2^(1/2))*2^(1/2)+3/2/(1+tanh(x))^(1/2)-1/3/(1+tanh(x))^(3/2)","A"
133,1,96,90,0.065000," ","int(tanh(x)^5/(a+b*tanh(x)),x)","-\frac{\tanh^{3}\left(x \right)}{3 b}+\frac{a \left(\tanh^{2}\left(x \right)\right)}{2 b^{2}}-\frac{a^{2} \tanh \left(x \right)}{b^{3}}-\frac{\tanh \left(x \right)}{b}-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}-\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}+\frac{a^{5} \ln \left(a +b \tanh \left(x \right)\right)}{b^{4} \left(a +b \right) \left(a -b \right)}"," ",0,"-1/3*tanh(x)^3/b+1/2*a*tanh(x)^2/b^2-1/b^3*a^2*tanh(x)-tanh(x)/b-1/(2*b+2*a)*ln(tanh(x)-1)-1/(2*a-2*b)*ln(1+tanh(x))+1/b^4*a^5/(a+b)/(a-b)*ln(a+b*tanh(x))","A"
134,1,76,74,0.062000," ","int(tanh(x)^4/(a+b*tanh(x)),x)","-\frac{\tanh^{2}\left(x \right)}{2 b}+\frac{a \tanh \left(x \right)}{b^{2}}-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}-\frac{a^{4} \ln \left(a +b \tanh \left(x \right)\right)}{b^{3} \left(a +b \right) \left(a -b \right)}"," ",0,"-1/2*tanh(x)^2/b+a*tanh(x)/b^2-1/(2*b+2*a)*ln(tanh(x)-1)+1/(2*a-2*b)*ln(1+tanh(x))-1/b^3*a^4/(a+b)/(a-b)*ln(a+b*tanh(x))","A"
135,1,67,64,0.068000," ","int(tanh(x)^3/(a+b*tanh(x)),x)","-\frac{\tanh \left(x \right)}{b}-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}-\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}+\frac{a^{3} \ln \left(a +b \tanh \left(x \right)\right)}{b^{2} \left(a +b \right) \left(a -b \right)}"," ",0,"-tanh(x)/b-1/(2*b+2*a)*ln(tanh(x)-1)-1/(2*a-2*b)*ln(1+tanh(x))+1/b^2*a^3/(a+b)/(a-b)*ln(a+b*tanh(x))","A"
136,1,60,63,0.048000," ","int(tanh(x)^2/(a+b*tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}-\frac{a^{2} \ln \left(a +b \tanh \left(x \right)\right)}{\left(a +b \right) \left(a -b \right) b}"," ",0,"-1/(2*b+2*a)*ln(tanh(x)-1)+1/(2*a-2*b)*ln(1+tanh(x))-a^2/(a+b)/(a-b)/b*ln(a+b*tanh(x))","A"
137,1,55,39,0.046000," ","int(tanh(x)/(a+b*tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}-\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}+\frac{a \ln \left(a +b \tanh \left(x \right)\right)}{\left(a +b \right) \left(a -b \right)}"," ",0,"-1/(2*b+2*a)*ln(tanh(x)-1)-1/(2*a-2*b)*ln(1+tanh(x))+a/(a+b)/(a-b)*ln(a+b*tanh(x))","A"
138,1,55,39,0.047000," ","int(1/(a+b*tanh(x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{2 b +2 a}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{2 a -2 b}-\frac{b \ln \left(a +b \tanh \left(x \right)\right)}{\left(a -b \right) \left(a +b \right)}"," ",0,"-1/(2*b+2*a)*ln(tanh(x)-1)+1/(2*a-2*b)*ln(1+tanh(x))-b/(a-b)/(a+b)*ln(a+b*tanh(x))","A"
139,1,78,51,0.134000," ","int(coth(x)/(a+b*tanh(x)),x)","\frac{b^{2} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{\left(a +b \right) \left(a -b \right) a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a +b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a -b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"b^2/(a+b)/(a-b)/a*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/(a+b)*ln(tanh(1/2*x)-1)-1/(a-b)*ln(tanh(1/2*x)+1)+1/a*ln(tanh(1/2*x))","A"
140,1,100,60,0.120000," ","int(coth(x)^2/(a+b*tanh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 a}-\frac{b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{2} \left(a +b \right) \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a +b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a -b}-\frac{1}{2 a \tanh \left(\frac{x}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}"," ",0,"-1/2/a*tanh(1/2*x)-1/a^2*b^3/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/(a+b)*ln(tanh(1/2*x)-1)+1/(a-b)*ln(tanh(1/2*x)+1)-1/2/a/tanh(1/2*x)-1/a^2*b*ln(tanh(1/2*x))","A"
141,1,134,74,0.131000," ","int(coth(x)^3/(a+b*tanh(x)),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a}+\frac{\tanh \left(\frac{x}{2}\right) b}{2 a^{2}}+\frac{b^{4} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{3} \left(a +b \right) \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a +b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a -b}-\frac{1}{8 a \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{3}}+\frac{b}{2 a^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/8/a*tanh(1/2*x)^2+1/2/a^2*tanh(1/2*x)*b+1/a^3*b^4/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/(a+b)*ln(tanh(1/2*x)-1)-1/(a-b)*ln(tanh(1/2*x)+1)-1/8/a/tanh(1/2*x)^2+1/a*ln(tanh(1/2*x))+1/a^3*ln(tanh(1/2*x))*b^2+1/2/a^2*b/tanh(1/2*x)","A"
142,1,185,93,0.129000," ","int(coth(x)^4/(a+b*tanh(x)),x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 a}+\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 a^{2}}-\frac{5 \tanh \left(\frac{x}{2}\right)}{8 a}-\frac{b^{2} \tanh \left(\frac{x}{2}\right)}{2 a^{3}}-\frac{b^{5} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b +a \right)}{a^{4} \left(a +b \right) \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a +b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a -b}-\frac{1}{24 a \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5}{8 a \tanh \left(\frac{x}{2}\right)}-\frac{b^{2}}{2 a^{3} \tanh \left(\frac{x}{2}\right)}+\frac{b}{8 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}-\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{4}}"," ",0,"-1/24/a*tanh(1/2*x)^3+1/8/a^2*b*tanh(1/2*x)^2-5/8/a*tanh(1/2*x)-1/2/a^3*b^2*tanh(1/2*x)-1/a^4*b^5/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b+a)-1/(a+b)*ln(tanh(1/2*x)-1)+1/(a-b)*ln(tanh(1/2*x)+1)-1/24/a/tanh(1/2*x)^3-5/8/a/tanh(1/2*x)-1/2/a^3/tanh(1/2*x)*b^2+1/8/a^2*b/tanh(1/2*x)^2-1/a^2*b*ln(tanh(1/2*x))-1/a^4*b^3*ln(tanh(1/2*x))","A"
143,1,73,55,0.278000," ","int(x*sech(x)^2/(a+b*tanh(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"
144,1,953,187,0.484000," ","int(x*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x)","-\frac{c^{2}}{2 d^{2} \sqrt{-a b}}-\frac{c^{2}}{d^{2} \left(-2 \sqrt{-a b}-a +b \right)}-\frac{c x}{d \sqrt{-a b}}-\frac{2 c x}{d \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right) c}{2 d^{2} \sqrt{-a b}}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) c}{d^{2} \left(-2 \sqrt{-a b}-a +b \right)}-\frac{c \arctan \left(\frac{2 \left(a +b \right) {\mathrm e}^{2 d x +2 c}+2 a -2 b}{4 \sqrt{a b}}\right)}{d^{2} \sqrt{a b}}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right) x}{2 d \sqrt{-a b}}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x}{d \left(-2 \sqrt{-a b}-a +b \right)}+\frac{b \,x^{2}}{2 \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{a \,x^{2}}{2 \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right)}{4 d^{2} \sqrt{-a b}}+\frac{\polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right)}{2 d^{2} \left(-2 \sqrt{-a b}-a +b \right)}+\frac{b c x}{d \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{a \,c^{2}}{2 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{b \,c^{2}}{2 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) a}{4 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{\polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) b}{4 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) b c}{2 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) a x}{2 d \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) b x}{2 d \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{x^{2}}{2 \sqrt{-a b}}-\frac{x^{2}}{-2 \sqrt{-a b}-a +b}-\frac{a c x}{d \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) a c}{2 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}"," ",0,"1/4/d^2/(-a*b)^(1/2)*polylog(2,(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))+1/2/d^2/(-2*(-a*b)^(1/2)-a+b)*polylog(2,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))-1/2/d^2/(-a*b)^(1/2)*c^2-1/d^2/(-2*(-a*b)^(1/2)-a+b)*c^2-1/d/(-a*b)^(1/2)*c*x-2/d/(-2*(-a*b)^(1/2)-a+b)*c*x+1/2/d^2/(-a*b)^(1/2)*ln(1-(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))*c+1/d^2/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*c-1/d^2*c/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*exp(2*d*x+2*c)+2*a-2*b)/(a*b)^(1/2))+1/2/d/(-a*b)^(1/2)*ln(1-(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))*x+1/d/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x+1/2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*x^2-1/2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*x^2+1/d/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*c*x-1/2/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*c^2+1/2/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*c^2+1/4/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*polylog(2,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*a-1/4/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*polylog(2,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*b-1/2/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*b*c+1/2/d/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*a*x-1/2/d/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*b*x-1/2/(-a*b)^(1/2)*x^2-1/(-2*(-a*b)^(1/2)-a+b)*x^2-1/d/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*c*x+1/2/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*a*c","B"
145,1,1186,285,0.513000," ","int(x^2*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x)","\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x^{2}}{d \left(-2 \sqrt{-a b}-a +b \right)}-\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right) c^{2}}{2 d^{3} \sqrt{-a b}}-\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) c^{2}}{d^{3} \left(-2 \sqrt{-a b}-a +b \right)}+\frac{c^{2} \arctan \left(\frac{2 \left(a +b \right) {\mathrm e}^{2 d x +2 c}+2 a -2 b}{4 \sqrt{a b}}\right)}{d^{3} \sqrt{a b}}+\frac{c^{2} x}{d^{2} \sqrt{-a b}}+\frac{2 c^{2} x}{d^{2} \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right) x^{2}}{2 d \sqrt{-a b}}-\frac{a \,x^{3}}{3 \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{b \,x^{3}}{3 \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{\polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right) x}{2 d^{2} \sqrt{-a b}}+\frac{\polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x}{d^{2} \left(-2 \sqrt{-a b}-a +b \right)}+\frac{a \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x^{2}}{2 d \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{2 c^{3}}{3 d^{3} \sqrt{-a b}}+\frac{4 c^{3}}{3 d^{3} \left(-2 \sqrt{-a b}-a +b \right)}-\frac{\polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{2 \sqrt{-a b}-a +b}\right)}{4 d^{3} \sqrt{-a b}}-\frac{\polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right)}{2 d^{3} \left(-2 \sqrt{-a b}-a +b \right)}-\frac{a \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) c^{2}}{2 d^{3} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{2 b \,c^{3}}{3 d^{3} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{a \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right)}{4 d^{3} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{b \polylog \left(3, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right)}{4 d^{3} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{b \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x^{2}}{2 d \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{a \,c^{2} x}{d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{b \,c^{2} x}{d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{2 a \,c^{3}}{3 d^{3} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{b \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x}{2 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{a \polylog \left(2, \frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) x}{2 d^{2} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}+\frac{b \ln \left(1-\frac{\left(a +b \right) {\mathrm e}^{2 d x +2 c}}{-2 \sqrt{-a b}-a +b}\right) c^{2}}{2 d^{3} \sqrt{-a b}\, \left(-2 \sqrt{-a b}-a +b \right)}-\frac{x^{3}}{3 \sqrt{-a b}}-\frac{2 x^{3}}{3 \left(-2 \sqrt{-a b}-a +b \right)}"," ",0,"1/2/d^2/(-a*b)^(1/2)*polylog(2,(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))*x+1/d/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x^2+1/d^2/(-2*(-a*b)^(1/2)-a+b)*polylog(2,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x-1/2/d^3/(-a*b)^(1/2)*ln(1-(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))*c^2-1/d^3/(-2*(-a*b)^(1/2)-a+b)*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*c^2+1/d^3*c^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*exp(2*d*x+2*c)+2*a-2*b)/(a*b)^(1/2))+1/d^2*c^2/(-a*b)^(1/2)*x+2/d^2*c^2/(-2*(-a*b)^(1/2)-a+b)*x+1/2/d/(-a*b)^(1/2)*ln(1-(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))*x^2-1/3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*x^3+1/3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*x^3+1/2/d/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x^2-1/4/d^3/(-a*b)^(1/2)*polylog(3,(a+b)*exp(2*d*x+2*c)/(2*(-a*b)^(1/2)-a+b))-1/2/d^3/(-2*(-a*b)^(1/2)-a+b)*polylog(3,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))+2/3/d^3*c^3/(-a*b)^(1/2)+4/3/d^3*c^3/(-2*(-a*b)^(1/2)-a+b)-1/2/d^3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*c^2-2/3/d^3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*c^3-1/4/d^3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*polylog(3,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))+1/4/d^3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*polylog(3,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))-1/2/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*polylog(2,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x-1/2/d/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x^2+1/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*c^2*x-1/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*c^2*x+2/3/d^3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*c^3+1/2/d^2/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*a*polylog(2,(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*x+1/2/d^3/(-a*b)^(1/2)/(-2*(-a*b)^(1/2)-a+b)*b*ln(1-(a+b)*exp(2*d*x+2*c)/(-2*(-a*b)^(1/2)-a+b))*c^2-1/3/(-a*b)^(1/2)*x^3-2/3/(-2*(-a*b)^(1/2)-a+b)*x^3","B"
146,1,24,25,0.088000," ","int(x^3*tanh(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"
147,1,37,111,0.105000," ","int(x^2*tanh(a+2*ln(x)),x)","\frac{x^{3}}{3}-\frac{{\mathrm e}^{-2 a} \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 a} \textit{\_Z}^{4}+1\right)}{\sum}\frac{\ln \left(x -\textit{\_R} \right)}{\textit{\_R}}\right)}{2}"," ",0,"1/3*x^3-1/2*exp(-2*a)*sum(1/_R*ln(x-_R),_R=RootOf(exp(2*a)*_Z^4+1))","C"
148,1,41,19,0.106000," ","int(x*tanh(a+2*ln(x)),x)","\frac{x^{2}}{2}+\frac{i {\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}-i\right)}{2}-\frac{i {\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}+i\right)}{2}"," ",0,"1/2*x^2+1/2*I*exp(-a)*ln(exp(a)*x^2-I)-1/2*I*exp(-a)*ln(exp(a)*x^2+I)","C"
149,1,33,107,0.103000," ","int(tanh(a+2*ln(x)),x)","x -\frac{{\mathrm e}^{-2 a} \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 a} \textit{\_Z}^{4}+1\right)}{\sum}\frac{\ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{3}}\right)}{2}"," ",0,"x-1/2*exp(-2*a)*sum(1/_R^3*ln(x-_R),_R=RootOf(exp(2*a)*_Z^4+1))","C"
150,1,26,10,0.012000," ","int(tanh(a+2*ln(x))/x,x)","-\frac{\ln \left(\tanh \left(a +2 \ln \left(x \right)\right)-1\right)}{4}-\frac{\ln \left(\tanh \left(a +2 \ln \left(x \right)\right)+1\right)}{4}"," ",0,"-1/4*ln(tanh(a+2*ln(x))-1)-1/4*ln(tanh(a+2*ln(x))+1)","B"
151,1,42,101,0.113000," ","int(tanh(a+2*ln(x))/x^2,x)","\frac{1}{x}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+{\mathrm e}^{2 a}\right)}{\sum}\textit{\_R} \ln \left(\left(5 \textit{\_R}^{4}+4 \,{\mathrm e}^{2 a}\right) x -\textit{\_R}^{3}\right)\right)}{2}"," ",0,"1/x+1/2*sum(_R*ln((5*_R^4+4*exp(2*a))*x-_R^3),_R=RootOf(_Z^4+exp(2*a)))","C"
152,1,44,16,0.106000," ","int(tanh(a+2*ln(x))/x^3,x)","\frac{1}{2 x^{2}}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 a}+\textit{\_Z}^{2}\right)}{\sum}\textit{\_R} \ln \left(\left(4 \,{\mathrm e}^{2 a}+5 \textit{\_R}^{2}\right) x^{2}-\textit{\_R} \right)\right)}{2}"," ",0,"1/2/x^2+1/2*sum(_R*ln((4*exp(2*a)+5*_R^2)*x^2-_R),_R=RootOf(exp(2*a)+_Z^2))","C"
153,1,42,45,0.076000," ","int(x^3*tanh(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"
154,1,53,127,0.080000," ","int(x^2*tanh(a+2*ln(x))^2,x)","\frac{x^{3}}{3}+\frac{x^{3}}{1+{\mathrm e}^{2 a} x^{4}}-\frac{3 \,{\mathrm e}^{-2 a} \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 a} \textit{\_Z}^{4}+1\right)}{\sum}\frac{\ln \left(x -\textit{\_R} \right)}{\textit{\_R}}\right)}{4}"," ",0,"1/3*x^3+x^3/(1+exp(2*a)*x^4)-3/4*exp(-2*a)*sum(1/_R*ln(x-_R),_R=RootOf(exp(2*a)*_Z^4+1))","C"
155,1,57,35,0.092000," ","int(x*tanh(a+2*ln(x))^2,x)","\frac{x^{2}}{2}+\frac{x^{2}}{1+{\mathrm e}^{2 a} x^{4}}+\frac{i {\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}-i\right)}{2}-\frac{i {\mathrm e}^{-a} \ln \left({\mathrm e}^{a} x^{2}+i\right)}{2}"," ",0,"1/2*x^2+x^2/(1+exp(2*a)*x^4)+1/2*I*exp(-a)*ln(exp(a)*x^2-I)-1/2*I*exp(-a)*ln(exp(a)*x^2+I)","C"
156,1,47,121,0.095000," ","int(tanh(a+2*ln(x))^2,x)","x +\frac{x}{1+{\mathrm e}^{2 a} x^{4}}-\frac{{\mathrm e}^{-2 a} \left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 a} \textit{\_Z}^{4}+1\right)}{\sum}\frac{\ln \left(x -\textit{\_R} \right)}{\textit{\_R}^{3}}\right)}{4}"," ",0,"x+x/(1+exp(2*a)*x^4)-1/4*exp(-2*a)*sum(1/_R^3*ln(x-_R),_R=RootOf(exp(2*a)*_Z^4+1))","C"
157,1,35,12,0.015000," ","int(tanh(a+2*ln(x))^2/x,x)","-\frac{\tanh \left(a +2 \ln \left(x \right)\right)}{2}-\frac{\ln \left(\tanh \left(a +2 \ln \left(x \right)\right)-1\right)}{4}+\frac{\ln \left(\tanh \left(a +2 \ln \left(x \right)\right)+1\right)}{4}"," ",0,"-1/2*tanh(a+2*ln(x))-1/4*ln(tanh(a+2*ln(x))-1)+1/4*ln(tanh(a+2*ln(x))+1)","B"
158,1,64,136,0.090000," ","int(tanh(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{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+{\mathrm e}^{2 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*sum(_R*ln((5*_R^4+4*exp(2*a))*x+_R^3),_R=RootOf(_Z^4+exp(2*a)))","C"
159,1,66,50,0.093000," ","int(tanh(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{\left(\munderset{\textit{\_R} =\RootOf \left({\mathrm e}^{2 a}+\textit{\_Z}^{2}\right)}{\sum}\textit{\_R} \ln \left(\left(-4 \,{\mathrm e}^{2 a}-5 \textit{\_R}^{2}\right) x^{2}-\textit{\_R} \right)\right)}{2}"," ",0,"(-3/2*exp(2*a)*x^4-1/2)/x^2/(1+exp(2*a)*x^4)+1/2*sum(_R*ln((-4*exp(2*a)-5*_R^2)*x^2-_R),_R=RootOf(exp(2*a)+_Z^2))","C"
160,0,0,57,0.099000," ","int((e*x)^m*tanh(a+2*ln(x)),x)","\int \left(e x \right)^{m} \tanh \left(a +2 \ln \left(x \right)\right)\, dx"," ",0,"int((e*x)^m*tanh(a+2*ln(x)),x)","F"
161,0,0,75,0.085000," ","int((e*x)^m*tanh(a+2*ln(x))^2,x)","\int \left(e x \right)^{m} \left(\tanh^{2}\left(a +2 \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(a+2*ln(x))^2,x)","F"
162,0,0,161,0.095000," ","int((e*x)^m*tanh(a+2*ln(x))^3,x)","\int \left(e x \right)^{m} \left(\tanh^{3}\left(a +2 \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(a+2*ln(x))^3,x)","F"
163,0,0,71,0.295000," ","int(tanh(a+b*ln(x))^p,x)","\int \tanh^{p}\left(a +b \ln \left(x \right)\right)\, dx"," ",0,"int(tanh(a+b*ln(x))^p,x)","F"
164,0,0,91,0.091000," ","int((e*x)^m*tanh(a+b*ln(x))^p,x)","\int \left(e x \right)^{m} \left(\tanh^{p}\left(a +b \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(a+b*ln(x))^p,x)","F"
165,0,0,48,0.117000," ","int(tanh(a+1/2*ln(x))^p,x)","\int \tanh^{p}\left(a +\frac{\ln \left(x \right)}{2}\right)\, dx"," ",0,"int(tanh(a+1/2*ln(x))^p,x)","F"
166,0,0,94,0.119000," ","int(tanh(a+1/4*ln(x))^p,x)","\int \tanh^{p}\left(a +\frac{\ln \left(x \right)}{4}\right)\, dx"," ",0,"int(tanh(a+1/4*ln(x))^p,x)","F"
167,0,0,139,0.122000," ","int(tanh(a+1/6*ln(x))^p,x)","\int \tanh^{p}\left(a +\frac{\ln \left(x \right)}{6}\right)\, dx"," ",0,"int(tanh(a+1/6*ln(x))^p,x)","F"
168,0,0,163,0.113000," ","int(tanh(a+1/8*ln(x))^p,x)","\int \tanh^{p}\left(a +\frac{\ln \left(x \right)}{8}\right)\, dx"," ",0,"int(tanh(a+1/8*ln(x))^p,x)","F"
169,0,0,53,0.140000," ","int(tanh(a+ln(x))^p,x)","\int \tanh^{p}\left(a +\ln \left(x \right)\right)\, dx"," ",0,"int(tanh(a+ln(x))^p,x)","F"
170,0,0,53,0.141000," ","int(tanh(a+2*ln(x))^p,x)","\int \tanh^{p}\left(a +2 \ln \left(x \right)\right)\, dx"," ",0,"int(tanh(a+2*ln(x))^p,x)","F"
171,0,0,53,0.141000," ","int(tanh(a+3*ln(x))^p,x)","\int \tanh^{p}\left(a +3 \ln \left(x \right)\right)\, dx"," ",0,"int(tanh(a+3*ln(x))^p,x)","F"
172,0,0,56,1.182000," ","int(x^3*tanh(d*(a+b*ln(c*x^n))),x)","\int x^{3} \tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^3*tanh(d*(a+b*ln(c*x^n))),x)","F"
173,0,0,56,1.168000," ","int(x^2*tanh(d*(a+b*ln(c*x^n))),x)","\int x^{2} \tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*tanh(d*(a+b*ln(c*x^n))),x)","F"
174,0,0,54,1.074000," ","int(x*tanh(d*(a+b*ln(c*x^n))),x)","\int x \tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*tanh(d*(a+b*ln(c*x^n))),x)","F"
175,0,0,50,0.961000," ","int(tanh(d*(a+b*ln(c*x^n))),x)","\int \tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n))),x)","F"
176,1,56,25,0.013000," ","int(tanh(d*(a+b*ln(c*x^n)))/x,x)","-\frac{\ln \left(\tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)-1\right)}{2 b d n}-\frac{\ln \left(\tanh \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(tanh(d*(a+b*ln(c*x^n)))-1)-1/2/b/d/n*ln(tanh(d*(a+b*ln(c*x^n)))+1)","B"
177,0,0,56,1.034000," ","int(tanh(d*(a+b*ln(c*x^n)))/x^2,x)","\int \frac{\tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n)))/x^2,x)","F"
178,0,0,55,1.053000," ","int(tanh(d*(a+b*ln(c*x^n)))/x^3,x)","\int \frac{\tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n)))/x^3,x)","F"
179,0,0,130,1.087000," ","int(x^3*tanh(d*(a+b*ln(c*x^n)))^2,x)","\int x^{3} \left(\tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^3*tanh(d*(a+b*ln(c*x^n)))^2,x)","F"
180,0,0,130,1.068000," ","int(x^2*tanh(d*(a+b*ln(c*x^n)))^2,x)","\int x^{2} \left(\tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^2*tanh(d*(a+b*ln(c*x^n)))^2,x)","F"
181,0,0,128,1.041000," ","int(x*tanh(d*(a+b*ln(c*x^n)))^2,x)","\int x \left(\tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x*tanh(d*(a+b*ln(c*x^n)))^2,x)","F"
182,0,0,122,0.986000," ","int(tanh(d*(a+b*ln(c*x^n)))^2,x)","\int \tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n)))^2,x)","F"
183,1,80,28,0.014000," ","int(tanh(d*(a+b*ln(c*x^n)))^2/x,x)","-\frac{\tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b d n}-\frac{\ln \left(\tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)-1\right)}{2 b d n}+\frac{\ln \left(\tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)+1\right)}{2 b d n}"," ",0,"-1/b/d/n*tanh(d*(a+b*ln(c*x^n)))-1/2/b/d/n*ln(tanh(d*(a+b*ln(c*x^n)))-1)+1/2/b/d/n*ln(tanh(d*(a+b*ln(c*x^n)))+1)","B"
184,0,0,128,1.132000," ","int(tanh(d*(a+b*ln(c*x^n)))^2/x^2,x)","\int \frac{\tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n)))^2/x^2,x)","F"
185,0,0,133,1.086000," ","int(tanh(d*(a+b*ln(c*x^n)))^2/x^3,x)","\int \frac{\tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n)))^2/x^3,x)","F"
186,1,67,41,0.016000," ","int(tanh(a+b*ln(c*x^n))^3/x,x)","-\frac{\tanh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 n b}-\frac{\ln \left(\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/2*tanh(a+b*ln(c*x^n))^2/b/n-1/2/n/b*ln(tanh(a+b*ln(c*x^n))-1)-1/2/n/b*ln(tanh(a+b*ln(c*x^n))+1)","A"
187,1,86,43,0.015000," ","int(tanh(a+b*ln(c*x^n))^4/x,x)","-\frac{\tanh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{3 b n}-\frac{\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}-\frac{\ln \left(\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 n b}+\frac{\ln \left(\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/3*tanh(a+b*ln(c*x^n))^3/b/n-tanh(a+b*ln(c*x^n))/b/n-1/2/n/b*ln(tanh(a+b*ln(c*x^n))-1)+1/2/n/b*ln(tanh(a+b*ln(c*x^n))+1)","A"
188,1,88,62,0.015000," ","int(tanh(a+b*ln(c*x^n))^5/x,x)","-\frac{\tanh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{4 b n}-\frac{\tanh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 n b}-\frac{\ln \left(\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/4*tanh(a+b*ln(c*x^n))^4/b/n-1/2*tanh(a+b*ln(c*x^n))^2/b/n-1/2/n/b*ln(tanh(a+b*ln(c*x^n))-1)-1/2/n/b*ln(tanh(a+b*ln(c*x^n))+1)","A"
189,0,0,85,1.519000," ","int((e*x)^m*tanh(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \tanh \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(d*(a+b*ln(c*x^n))),x)","F"
190,0,0,164,1.481000," ","int((e*x)^m*tanh(d*(a+b*ln(c*x^n)))^2,x)","\int \left(e x \right)^{m} \left(\tanh^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(d*(a+b*ln(c*x^n)))^2,x)","F"
191,0,0,294,1.545000," ","int((e*x)^m*tanh(d*(a+b*ln(c*x^n)))^3,x)","\int \left(e x \right)^{m} \left(\tanh^{3}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(d*(a+b*ln(c*x^n)))^3,x)","F"
192,0,0,107,0.266000," ","int(tanh(d*(a+b*ln(c*x^n)))^p,x)","\int \tanh^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(tanh(d*(a+b*ln(c*x^n)))^p,x)","F"
193,0,0,127,0.209000," ","int((e*x)^m*tanh(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\tanh^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tanh(d*(a+b*ln(c*x^n)))^p,x)","F"
194,1,93,65,0.160000," ","int(tanh(a+b*ln(c*x^n))^(5/2)/x,x)","-\frac{2 \left(\tanh^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 b n}-\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{\arctan \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-2/3*tanh(a+b*ln(c*x^n))^(3/2)/b/n-1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)+1)-arctan(tanh(a+b*ln(c*x^n))^(1/2))/b/n","A"
195,1,92,64,0.135000," ","int(tanh(a+b*ln(c*x^n))^(3/2)/x,x)","-\frac{2 \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}-\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}+\frac{\arctan \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-2*tanh(a+b*ln(c*x^n))^(1/2)/b/n-1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)+1)+arctan(tanh(a+b*ln(c*x^n))^(1/2))/b/n","A"
196,1,72,44,0.122000," ","int(tanh(a+b*ln(c*x^n))^(1/2)/x,x)","-\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{\arctan \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)+1)-arctan(tanh(a+b*ln(c*x^n))^(1/2))/b/n","A"
197,1,44,43,0.127000," ","int(1/x/tanh(a+b*ln(c*x^n))^(1/2),x)","\frac{\arctan \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}+\frac{\arctanh \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"arctan(tanh(a+b*ln(c*x^n))^(1/2))/b/n+arctanh(tanh(a+b*ln(c*x^n))^(1/2))/b/n","A"
198,1,93,65,0.117000," ","int(1/x/tanh(a+b*ln(c*x^n))^(3/2),x)","-\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{2}{b n \sqrt{\tanh \left(a +b \ln \left(c \,x^{n}\right)\right)}}-\frac{\arctan \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)+1)-2/b/n/tanh(a+b*ln(c*x^n))^(1/2)-arctan(tanh(a+b*ln(c*x^n))^(1/2))/b/n","A"
199,1,92,64,0.125000," ","int(1/x/tanh(a+b*ln(c*x^n))^(5/2),x)","-\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)-1\right)}{2 b n}+\frac{\ln \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 b n}-\frac{2}{3 b n \tanh \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}+\frac{\arctan \left(\sqrt{\tanh}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}"," ",0,"-1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)-1)+1/2/b/n*ln(tanh(a+b*ln(c*x^n))^(1/2)+1)-2/3/b/n/tanh(a+b*ln(c*x^n))^(3/2)+arctan(tanh(a+b*ln(c*x^n))^(1/2))/b/n","A"
200,1,149,111,0.275000," ","int(tanh(x)^5/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","-\frac{\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}{2 c}+\frac{b \ln \left(\frac{\frac{b}{2}+c \left(\tanh^{2}\left(x \right)\right)}{\sqrt{c}}+\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}\right)}{4 c^{\frac{3}{2}}}-\frac{\ln \left(\frac{\frac{b}{2}+c \left(\tanh^{2}\left(x \right)\right)}{\sqrt{c}}+\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}\right)}{2 \sqrt{c}}+\frac{\arctanh \left(\frac{b \left(\tanh^{2}\left(x \right)\right)+2 c \left(\tanh^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}"," ",0,"-1/2*(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2)/c+1/4*b/c^(3/2)*ln((1/2*b+c*tanh(x)^2)/c^(1/2)+(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))-1/2*ln((1/2*b+c*tanh(x)^2)/c^(1/2)+(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))/c^(1/2)+1/2/(a+b+c)^(1/2)*arctanh(1/2*(b*tanh(x)^2+2*c*tanh(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))","A"
201,1,90,85,0.173000," ","int(tanh(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","-\frac{\ln \left(\frac{\frac{b}{2}+c \left(\tanh^{2}\left(x \right)\right)}{\sqrt{c}}+\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}\right)}{2 \sqrt{c}}+\frac{\arctanh \left(\frac{b \left(\tanh^{2}\left(x \right)\right)+2 c \left(\tanh^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}"," ",0,"-1/2*ln((1/2*b+c*tanh(x)^2)/c^(1/2)+(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))/c^(1/2)+1/2/(a+b+c)^(1/2)*arctanh(1/2*(b*tanh(x)^2+2*c*tanh(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))","A"
202,1,52,48,0.194000," ","int(tanh(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","\frac{\arctanh \left(\frac{b \left(\tanh^{2}\left(x \right)\right)+2 c \left(\tanh^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}"," ",0,"1/2/(a+b+c)^(1/2)*arctanh(1/2*(b*tanh(x)^2+2*c*tanh(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))","A"
203,0,0,86,0.508000," ","int(coth(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","\int \frac{\coth \left(x \right)}{\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\, dx"," ",0,"int(coth(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","F"
204,0,0,149,0.479000," ","int(coth(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","\int \frac{\coth^{3}\left(x \right)}{\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\, dx"," ",0,"int(coth(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x)","F"
205,1,559,108,0.179000," ","int((a+b*tanh(x)^2+c*tanh(x)^4)^(1/2)*tanh(x),x)","-\frac{\sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{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(\tanh^{2}\left(x \right)\right)}{a}}\, \sqrt{4+\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) \left(\tanh^{2}\left(x \right)\right)}{a}}\, \EllipticF \left(\frac{\tanh \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(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}-\frac{\ln \left(\frac{b +2 c \left(\tanh^{2}\left(x \right)\right)}{\sqrt{c}}+2 \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}\right) \sqrt{c}}{2}-\frac{\ln \left(\frac{b +2 c \left(\tanh^{2}\left(x \right)\right)}{\sqrt{c}}+2 \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}\right) b}{4 \sqrt{c}}+\frac{a \arctanh \left(\frac{b \left(\tanh^{2}\left(x \right)\right)+2 c \left(\tanh^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}+\frac{b \arctanh \left(\frac{b \left(\tanh^{2}\left(x \right)\right)+2 c \left(\tanh^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}\right)}{2 \sqrt{a +b +c}}+\frac{c \arctanh \left(\frac{b \left(\tanh^{2}\left(x \right)\right)+2 c \left(\tanh^{2}\left(x \right)\right)+2 a +b}{2 \sqrt{a +b +c}\, \sqrt{a +b \left(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{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(\tanh^{2}\left(x \right)\right)}{a}}\, \sqrt{4+\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) \left(\tanh^{2}\left(x \right)\right)}{a}}\, \EllipticF \left(\frac{\tanh \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(\tanh^{2}\left(x \right)\right)+c \left(\tanh^{4}\left(x \right)\right)}}"," ",0,"-1/2*(a+b*tanh(x)^2+c*tanh(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*tanh(x)^2)^(1/2)*(4+2*(b+(-4*a*c+b^2)^(1/2))/a*tanh(x)^2)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2)*EllipticF(1/2*tanh(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*tanh(x)^2)/c^(1/2)+2*(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))*c^(1/2)-1/4*ln((b+2*c*tanh(x)^2)/c^(1/2)+2*(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))/c^(1/2)*b+1/2*a/(a+b+c)^(1/2)*arctanh(1/2*(b*tanh(x)^2+2*c*tanh(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))+1/2*b/(a+b+c)^(1/2)*arctanh(1/2*(b*tanh(x)^2+2*c*tanh(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2))+1/2*c/(a+b+c)^(1/2)*arctanh(1/2*(b*tanh(x)^2+2*c*tanh(x)^2+2*a+b)/(a+b+c)^(1/2)/(a+b*tanh(x)^2+c*tanh(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*tanh(x)^2)^(1/2)*(4+2*(b+(-4*a*c+b^2)^(1/2))/a*tanh(x)^2)^(1/2)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2)*EllipticF(1/2*tanh(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"
206,1,124,95,0.296000," ","int(exp(b*x+a)*tanh(b*x+a)^4,x)","\frac{\sinh^{4}\left(b x +a \right)}{b \cosh \left(b x +a \right)^{3}}+\frac{4 \left(\sinh^{2}\left(b x +a \right)\right)}{b \cosh \left(b x +a \right)^{3}}+\frac{8}{3 b \cosh \left(b x +a \right)^{3}}+\frac{\sinh^{3}\left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}+\frac{3 \sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}-\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}-\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*sinh(b*x+a)^4/cosh(b*x+a)^3+4/b*sinh(b*x+a)^2/cosh(b*x+a)^3+8/3/b/cosh(b*x+a)^3+1/b*sinh(b*x+a)^3/cosh(b*x+a)^2+3/b*sinh(b*x+a)/cosh(b*x+a)^2-3/2/b*sech(b*x+a)*tanh(b*x+a)-3*arctan(exp(b*x+a))/b","A"
207,1,103,71,0.219000," ","int(exp(b*x+a)*tanh(b*x+a)^3,x)","\frac{\sinh^{3}\left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}+\frac{3 \sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}-\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}-\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{b}+\frac{\sinh^{2}\left(b x +a \right)}{b \cosh \left(b x +a \right)}+\frac{2}{b \cosh \left(b x +a \right)}"," ",0,"1/b*sinh(b*x+a)^3/cosh(b*x+a)^2+3/b*sinh(b*x+a)/cosh(b*x+a)^2-3/2/b*sech(b*x+a)*tanh(b*x+a)-3*arctan(exp(b*x+a))/b+1/b*sinh(b*x+a)^2/cosh(b*x+a)+2/b/cosh(b*x+a)","A"
208,1,57,47,0.089000," ","int(exp(b*x+a)*tanh(b*x+a)^2,x)","\frac{\sinh^{2}\left(b x +a \right)}{b \cosh \left(b x +a \right)}+\frac{2}{b \cosh \left(b x +a \right)}+\frac{\sinh \left(b x +a \right)}{b}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*sinh(b*x+a)^2/cosh(b*x+a)+2/b/cosh(b*x+a)+sinh(b*x+a)/b-2*arctan(exp(b*x+a))/b","A"
209,1,34,23,0.098000," ","int(exp(b*x+a)*tanh(b*x+a),x)","\frac{\sinh \left(b x +a \right)}{b}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}+\frac{\cosh \left(b x +a \right)}{b}"," ",0,"sinh(b*x+a)/b-2*arctan(exp(b*x+a))/b+cosh(b*x+a)/b","A"
210,1,27,23,0.089000," ","int(exp(b*x+a)*coth(b*x+a),x)","\frac{\sinh \left(b x +a \right)+\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(sinh(b*x+a)+cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
211,1,48,49,0.050000," ","int(exp(b*x+a)*coth(b*x+a)^2,x)","\frac{\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)+\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)}-\frac{2}{\sinh \left(b x +a \right)}}{b}"," ",0,"1/b*(cosh(b*x+a)-2*arctanh(exp(b*x+a))+cosh(b*x+a)^2/sinh(b*x+a)-2/sinh(b*x+a))","A"
212,1,89,75,0.268000," ","int(exp(b*x+a)*coth(b*x+a)^3,x)","\frac{\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)}-\frac{2}{\sinh \left(b x +a \right)}+\frac{\cosh^{3}\left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}-\frac{3 \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{3 \,\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-3 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(cosh(b*x+a)^2/sinh(b*x+a)-2/sinh(b*x+a)+cosh(b*x+a)^3/sinh(b*x+a)^2-3/sinh(b*x+a)^2*cosh(b*x+a)+3/2*csch(b*x+a)*coth(b*x+a)-3*arctanh(exp(b*x+a)))","A"
213,1,107,101,0.270000," ","int(exp(b*x+a)*coth(b*x+a)^4,x)","\frac{\frac{\cosh^{3}\left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}-\frac{3 \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{3 \,\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-3 \arctanh \left({\mathrm e}^{b x +a}\right)+\frac{\cosh^{4}\left(b x +a \right)}{\sinh \left(b x +a \right)^{3}}-\frac{4 \left(\cosh^{2}\left(b x +a \right)\right)}{\sinh \left(b x +a \right)^{3}}+\frac{8}{3 \sinh \left(b x +a \right)^{3}}}{b}"," ",0,"1/b*(cosh(b*x+a)^3/sinh(b*x+a)^2-3/sinh(b*x+a)^2*cosh(b*x+a)+3/2*csch(b*x+a)*coth(b*x+a)-3*arctanh(exp(b*x+a))+cosh(b*x+a)^4/sinh(b*x+a)^3-4/sinh(b*x+a)^3*cosh(b*x+a)^2+8/3/sinh(b*x+a)^3)","A"
214,1,35,79,0.206000," ","int(exp(x)*tanh(2*x)^2,x)","{\mathrm e}^{x}+\frac{{\mathrm e}^{x}}{1+{\mathrm e}^{4 x}}+\left(\munderset{\textit{\_R} =\RootOf \left(256 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-4 \textit{\_R} \right)\right)"," ",0,"exp(x)+exp(x)/(1+exp(4*x))+sum(_R*ln(exp(x)-4*_R),_R=RootOf(256*_Z^4+1))","C"
215,1,24,68,0.181000," ","int(exp(x)*tanh(2*x),x)","{\mathrm e}^{x}+\left(\munderset{\textit{\_R} =\RootOf \left(16 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-2 \textit{\_R} \right)\right)"," ",0,"exp(x)+sum(_R*ln(exp(x)-2*_R),_R=RootOf(16*_Z^4+1))","C"
216,1,36,13,0.201000," ","int(exp(x)*coth(2*x),x)","{\mathrm e}^{x}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{2}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{2}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{2}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{2}"," ",0,"exp(x)+1/2*I*ln(exp(x)-I)-1/2*I*ln(exp(x)+I)+1/2*ln(exp(x)-1)-1/2*ln(exp(x)+1)","C"
217,1,48,26,0.221000," ","int(exp(x)*coth(2*x)^2,x)","{\mathrm e}^{x}-\frac{{\mathrm e}^{x}}{{\mathrm e}^{4 x}-1}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{4}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{4}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{4}"," ",0,"exp(x)-exp(x)/(exp(4*x)-1)+1/4*I*ln(exp(x)-I)-1/4*I*ln(exp(x)+I)+1/4*ln(exp(x)-1)-1/4*ln(exp(x)+1)","C"
218,1,59,81,0.326000," ","int(exp(x)*tanh(3*x)^2,x)","{\mathrm e}^{x}+\frac{2 \,{\mathrm e}^{x}}{3 \left(1+{\mathrm e}^{6 x}\right)}+\left(\munderset{\textit{\_R} =\RootOf \left(6561 \textit{\_Z}^{4}-81 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-9 \textit{\_R} \right)\right)+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{9}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{9}"," ",0,"exp(x)+2/3*exp(x)/(1+exp(6*x))+sum(_R*ln(exp(x)-9*_R),_R=RootOf(6561*_Z^4-81*_Z^2+1))+1/9*I*ln(exp(x)-I)-1/9*I*ln(exp(x)+I)","C"
219,1,47,69,0.231000," ","int(exp(x)*tanh(3*x),x)","{\mathrm e}^{x}+\left(\munderset{\textit{\_R} =\RootOf \left(81 \textit{\_Z}^{4}-9 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-3 \textit{\_R} \right)\right)+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{3}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{3}"," ",0,"exp(x)+sum(_R*ln(exp(x)-3*_R),_R=RootOf(81*_Z^4-9*_Z^2+1))+1/3*I*ln(exp(x)-I)-1/3*I*ln(exp(x)+I)","C"
220,1,138,66,0.221000," ","int(exp(x)*coth(3*x),x)","{\mathrm e}^{x}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{3}+\frac{\ln \left({\mathrm e}^{x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{6}+\frac{i \ln \left({\mathrm e}^{x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}+\frac{\ln \left({\mathrm e}^{x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{6}-\frac{i \ln \left({\mathrm e}^{x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}-\frac{\ln \left({\mathrm e}^{x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{6}+\frac{i \ln \left({\mathrm e}^{x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}-\frac{\ln \left({\mathrm e}^{x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{6}-\frac{i \ln \left({\mathrm e}^{x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{3}"," ",0,"exp(x)-1/3*ln(exp(x)+1)+1/6*ln(exp(x)-1/2-1/2*I*3^(1/2))+1/6*I*ln(exp(x)-1/2-1/2*I*3^(1/2))*3^(1/2)+1/6*ln(exp(x)-1/2+1/2*I*3^(1/2))-1/6*I*ln(exp(x)-1/2+1/2*I*3^(1/2))*3^(1/2)-1/6*ln(exp(x)+1/2-1/2*I*3^(1/2))+1/6*I*ln(exp(x)+1/2-1/2*I*3^(1/2))*3^(1/2)-1/6*ln(exp(x)+1/2+1/2*I*3^(1/2))-1/6*I*ln(exp(x)+1/2+1/2*I*3^(1/2))*3^(1/2)+1/3*ln(exp(x)-1)","C"
221,1,150,80,0.260000," ","int(exp(x)*coth(3*x)^2,x)","{\mathrm e}^{x}-\frac{2 \,{\mathrm e}^{x}}{3 \left({\mathrm e}^{6 x}-1\right)}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{9}-\frac{\ln \left({\mathrm e}^{x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{18}+\frac{i \ln \left({\mathrm e}^{x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}-\frac{\ln \left({\mathrm e}^{x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{18}-\frac{i \ln \left({\mathrm e}^{x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}+\frac{\ln \left({\mathrm e}^{x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{18}+\frac{i \ln \left({\mathrm e}^{x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}+\frac{\ln \left({\mathrm e}^{x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{18}-\frac{i \ln \left({\mathrm e}^{x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{9}"," ",0,"exp(x)-2/3*exp(x)/(exp(6*x)-1)+1/9*ln(exp(x)-1)-1/18*ln(exp(x)+1/2-1/2*I*3^(1/2))+1/18*I*ln(exp(x)+1/2-1/2*I*3^(1/2))*3^(1/2)-1/18*ln(exp(x)+1/2+1/2*I*3^(1/2))-1/18*I*ln(exp(x)+1/2+1/2*I*3^(1/2))*3^(1/2)+1/18*ln(exp(x)-1/2-1/2*I*3^(1/2))+1/18*I*ln(exp(x)-1/2-1/2*I*3^(1/2))*3^(1/2)+1/18*ln(exp(x)-1/2+1/2*I*3^(1/2))-1/18*I*ln(exp(x)-1/2+1/2*I*3^(1/2))*3^(1/2)-1/9*ln(exp(x)+1)","C"
222,1,36,265,0.247000," ","int(exp(x)*tanh(4*x)^2,x)","{\mathrm e}^{x}+\frac{{\mathrm e}^{x}}{2+2 \,{\mathrm e}^{8 x}}+\left(\munderset{\textit{\_R} =\RootOf \left(4294967296 \textit{\_Z}^{8}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-16 \textit{\_R} \right)\right)"," ",0,"exp(x)+1/2*exp(x)/(1+exp(8*x))+sum(_R*ln(exp(x)-16*_R),_R=RootOf(4294967296*_Z^8+1))","C"
223,1,24,253,0.199000," ","int(exp(x)*tanh(4*x),x)","{\mathrm e}^{x}+\left(\munderset{\textit{\_R} =\RootOf \left(65536 \textit{\_Z}^{8}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-4 \textit{\_R} \right)\right)"," ",0,"exp(x)+sum(_R*ln(exp(x)-4*_R),_R=RootOf(65536*_Z^8+1))","C"
224,1,56,78,0.242000," ","int(exp(x)*coth(4*x),x)","{\mathrm e}^{x}+\left(\munderset{\textit{\_R} =\RootOf \left(256 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-4 \textit{\_R} \right)\right)-\frac{\ln \left({\mathrm e}^{x}+1\right)}{4}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{4}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{4}"," ",0,"exp(x)+sum(_R*ln(exp(x)-4*_R),_R=RootOf(256*_Z^4+1))-1/4*ln(exp(x)+1)+1/4*ln(exp(x)-1)+1/4*I*ln(exp(x)-I)-1/4*I*ln(exp(x)+I)","C"
225,1,68,92,0.273000," ","int(exp(x)*coth(4*x)^2,x)","{\mathrm e}^{x}-\frac{{\mathrm e}^{x}}{2 \left({\mathrm e}^{8 x}-1\right)}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{16}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{16}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{16}+\left(\munderset{\textit{\_R} =\RootOf \left(65536 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}-16 \textit{\_R} \right)\right)-\frac{\ln \left({\mathrm e}^{x}+1\right)}{16}"," ",0,"exp(x)-1/2*exp(x)/(exp(8*x)-1)+1/16*ln(exp(x)-1)+1/16*I*ln(exp(x)-I)-1/16*I*ln(exp(x)+I)+sum(_R*ln(exp(x)-16*_R),_R=RootOf(65536*_Z^4+1))-1/16*ln(exp(x)+1)","C"
226,1,87,88,0.293000," ","int(exp(x)/(a-tanh(2*x)),x)","\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+6 a \,\textit{\_Z}^{2}-4 \textit{\_Z} +a \right)}{\sum}\frac{\left(-\textit{\_R}^{2}+2 \textit{\_R} -1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{3} a -3 \textit{\_R}^{2}+3 \textit{\_R} a -1}}{-2+2 a}-\frac{2}{\left(-1+a \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}"," ",0,"1/2/(-1+a)*sum((-_R^2+2*_R-1)/(_R^3*a-3*_R^2+3*_R*a-1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4*a-4*_Z^3+6*_Z^2*a-4*_Z+a))-2/(-1+a)/(tanh(1/2*x)-1)","C"
227,1,476,127,0.365000," ","int(exp(x)/(a-tanh(2*x))^2,x)","-\frac{2}{\left(-1+a \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\tanh^{3}\left(\frac{x}{2}\right)}{\left(-1+a \right)^{2} \left(a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)-4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+6 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)+a \right) \left(a +1\right)}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(-1+a \right)^{2} \left(a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)-4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+6 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)+a \right) a \left(a +1\right)}+\frac{3 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(-1+a \right)^{2} \left(a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)-4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+6 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)+a \right) \left(a +1\right)}-\frac{\tanh \left(\frac{x}{2}\right)}{\left(-1+a \right)^{2} \left(a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)-4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+6 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)+a \right) \left(a +1\right)}-\frac{2 \tanh \left(\frac{x}{2}\right)}{\left(-1+a \right)^{2} \left(a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)-4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+6 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)+a \right) a \left(a +1\right)}+\frac{1}{\left(-1+a \right)^{2} \left(a \left(\tanh^{4}\left(\frac{x}{2}\right)\right)-4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+6 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)+a \right) \left(a +1\right)}-\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+6 a \,\textit{\_Z}^{2}-4 \textit{\_Z} +a \right)}{\sum}\frac{\left(\textit{\_R}^{2}-2 \textit{\_R} +1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{3} a -3 \textit{\_R}^{2}+3 \textit{\_R} a -1}}{4 \left(-1+a \right)^{2} \left(a +1\right)}-\frac{\left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+6 a \,\textit{\_Z}^{2}-4 \textit{\_Z} +a \right)}{\sum}\frac{\left(\textit{\_R}^{2}-2 \textit{\_R} +1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{3} a -3 \textit{\_R}^{2}+3 \textit{\_R} a -1}\right) a}{\left(-1+a \right)^{2} \left(a +1\right)}"," ",0,"-2/(-1+a)^2/(tanh(1/2*x)-1)+1/(-1+a)^2/(a*tanh(1/2*x)^4-4*tanh(1/2*x)^3+6*a*tanh(1/2*x)^2-4*tanh(1/2*x)+a)/(a+1)*tanh(1/2*x)^3-2/(-1+a)^2/(a*tanh(1/2*x)^4-4*tanh(1/2*x)^3+6*a*tanh(1/2*x)^2-4*tanh(1/2*x)+a)/a/(a+1)*tanh(1/2*x)^3+3/(-1+a)^2/(a*tanh(1/2*x)^4-4*tanh(1/2*x)^3+6*a*tanh(1/2*x)^2-4*tanh(1/2*x)+a)/(a+1)*tanh(1/2*x)^2-1/(-1+a)^2/(a*tanh(1/2*x)^4-4*tanh(1/2*x)^3+6*a*tanh(1/2*x)^2-4*tanh(1/2*x)+a)/(a+1)*tanh(1/2*x)-2/(-1+a)^2/(a*tanh(1/2*x)^4-4*tanh(1/2*x)^3+6*a*tanh(1/2*x)^2-4*tanh(1/2*x)+a)/a/(a+1)*tanh(1/2*x)+1/(-1+a)^2/(a*tanh(1/2*x)^4-4*tanh(1/2*x)^3+6*a*tanh(1/2*x)^2-4*tanh(1/2*x)+a)/(a+1)-1/4/(-1+a)^2/(a+1)*sum((_R^2-2*_R+1)/(_R^3*a-3*_R^2+3*_R*a-1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4*a-4*_Z^3+6*_Z^2*a-4*_Z+a))-1/(-1+a)^2/(a+1)*sum((_R^2-2*_R+1)/(_R^3*a-3*_R^2+3*_R*a-1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4*a-4*_Z^3+6*_Z^2*a-4*_Z+a))*a","C"
228,0,0,157,0.342000," ","int(exp(c*(b*x+a))*tanh(e*x+d)^3,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\tanh^{3}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*tanh(e*x+d)^3,x)","F"
229,0,0,110,0.305000," ","int(exp(c*(b*x+a))*tanh(e*x+d)^2,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\tanh^{2}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*tanh(e*x+d)^2,x)","F"
230,0,0,63,0.269000," ","int(exp(c*(b*x+a))*tanh(e*x+d),x)","\int {\mathrm e}^{c \left(b x +a \right)} \tanh \left(e x +d \right)\, dx"," ",0,"int(exp(c*(b*x+a))*tanh(e*x+d),x)","F"
231,0,0,61,0.272000," ","int(exp(c*(b*x+a))*coth(e*x+d),x)","\int {\mathrm e}^{c \left(b x +a \right)} \coth \left(e x +d \right)\, dx"," ",0,"int(exp(c*(b*x+a))*coth(e*x+d),x)","F"
232,0,0,106,0.297000," ","int(exp(c*(b*x+a))*coth(e*x+d)^2,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\coth^{2}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*coth(e*x+d)^2,x)","F"
233,0,0,151,0.377000," ","int(exp(c*(b*x+a))*coth(e*x+d)^3,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\coth^{3}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*coth(e*x+d)^3,x)","F"
234,1,324,281,0.832000," ","int(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(5/2),x)","\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}+\frac{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\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({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{3} c b}+\frac{15 i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}-i\right)}{8 \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) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}+i\right)}{8 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}"," ",0,"1/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)*exp(c*(b*x+a))/c/b+1/12/(exp(2*c*(b*x+a))-1)/(1+exp(2*c*(b*x+a)))^3*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^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/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-I)-15/8*I/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/c/b*ln(exp(c*(b*x+a))+I)","C"
235,1,301,179,0.704000," ","int(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(3/2),x)","\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)}}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}+\frac{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)} \left(3 \,{\mathrm e}^{2 c \left(b x +a \right)}+1\right)}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}+\frac{3 i \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}-i\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) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}+i\right)}{2 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}"," ",0,"1/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)*exp(c*(b*x+a))/c/b+1/(exp(2*c*(b*x+a))-1)/(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)*exp(c*(b*x+a))*(3*exp(2*c*(b*x+a))+1)/c/b+3/2*I/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/c/b*ln(exp(c*(b*x+a))-I)-3/2*I/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/c/b*ln(exp(c*(b*x+a))+I)","C"
236,1,218,77,0.743000," ","int(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(1/2),x)","\frac{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, {\mathrm e}^{c \left(b x +a \right)}}{\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) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}-i\right)}{\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) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \ln \left({\mathrm e}^{c \left(b x +a \right)}+i\right)}{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) c b}"," ",0,"1/(exp(2*c*(b*x+a))-1)*(1+exp(2*c*(b*x+a)))*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)*exp(c*(b*x+a))/c/b+I*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^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*((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^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"
237,1,213,77,1.022000," ","int(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(1/2),x)","\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) {\mathrm e}^{c \left(b x +a \right)}}{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \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) \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \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) \ln \left(1+{\mathrm e}^{c \left(b x +a \right)}\right)}{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}"," ",0,"1/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*exp(c*(b*x+a))/c/b+1/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)/c/b*ln(exp(c*(b*x+a))-1)-1/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)/c/b*ln(1+exp(c*(b*x+a)))","B"
238,1,298,183,0.977000," ","int(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(3/2),x)","\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) {\mathrm e}^{c \left(b x +a \right)}}{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\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({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, c b}+\frac{3 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{2 \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 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) \ln \left(1+{\mathrm e}^{c \left(b x +a \right)}\right)}{2 \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}"," ",0,"1/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*exp(c*(b*x+a))/c/b-1/(exp(2*c*(b*x+a))-1)/(1+exp(2*c*(b*x+a)))/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)*exp(c*(b*x+a))*(3*exp(2*c*(b*x+a))-1)/c/b+3/2/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)/c/b*ln(exp(c*(b*x+a))-1)-3/2/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)/c/b*ln(1+exp(c*(b*x+a)))","A"
239,1,320,289,0.990000," ","int(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(5/2),x)","\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) {\mathrm e}^{c \left(b x +a \right)}}{\sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\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({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{3} \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, c b}+\frac{15 \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right) \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{8 \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \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) \ln \left(1+{\mathrm e}^{c \left(b x +a \right)}\right)}{8 \sqrt{\frac{\left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)^{2}}{\left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}}}\, \left(1+{\mathrm e}^{2 c \left(b x +a \right)}\right) c b}"," ",0,"1/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)*exp(c*(b*x+a))/c/b-1/12/(exp(2*c*(b*x+a))-1)^3/(1+exp(2*c*(b*x+a)))/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^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/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)/c/b*ln(exp(c*(b*x+a))-1)-15/8/((exp(2*c*(b*x+a))-1)^2/(1+exp(2*c*(b*x+a)))^2)^(1/2)/(1+exp(2*c*(b*x+a)))*(exp(2*c*(b*x+a))-1)/c/b*ln(1+exp(c*(b*x+a)))","A"
240,1,118,139,0.099000," ","int(sin(tanh(b*x+a))^3,x)","\frac{-\frac{\Si \left(3+3 \tanh \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{\Ci \left(3+3 \tanh \left(b x +a \right)\right) \sin \left(3\right)}{8}+\frac{\Si \left(-3+3 \tanh \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{\Ci \left(-3+3 \tanh \left(b x +a \right)\right) \sin \left(3\right)}{8}+\frac{3 \Si \left(1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{8}-\frac{3 \Ci \left(1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{8}-\frac{3 \Si \left(-1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{8}-\frac{3 \Ci \left(-1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{8}}{b}"," ",0,"1/b*(-1/8*Si(3+3*tanh(b*x+a))*cos(3)+1/8*Ci(3+3*tanh(b*x+a))*sin(3)+1/8*Si(-3+3*tanh(b*x+a))*cos(3)+1/8*Ci(-3+3*tanh(b*x+a))*sin(3)+3/8*Si(1+tanh(b*x+a))*cos(1)-3/8*Ci(1+tanh(b*x+a))*sin(1)-3/8*Si(-1+tanh(b*x+a))*cos(1)-3/8*Ci(-1+tanh(b*x+a))*sin(1))","A"
241,1,102,103,0.094000," ","int(sin(tanh(b*x+a))^2,x)","-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{4 b}+\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{4 b}-\frac{\Si \left(2+2 \tanh \left(b x +a \right)\right) \sin \left(2\right)}{4 b}-\frac{\Ci \left(2+2 \tanh \left(b x +a \right)\right) \cos \left(2\right)}{4 b}-\frac{\Si \left(-2+2 \tanh \left(b x +a \right)\right) \sin \left(2\right)}{4 b}+\frac{\Ci \left(-2+2 \tanh \left(b x +a \right)\right) \cos \left(2\right)}{4 b}"," ",0,"-1/4/b*ln(-1+tanh(b*x+a))+1/4*ln(1+tanh(b*x+a))/b-1/4*Si(2+2*tanh(b*x+a))*sin(2)/b-1/4*Ci(2+2*tanh(b*x+a))*cos(2)/b-1/4*Si(-2+2*tanh(b*x+a))*sin(2)/b+1/4/b*Ci(-2+2*tanh(b*x+a))*cos(2)","A"
242,1,58,67,0.097000," ","int(sin(tanh(b*x+a)),x)","\frac{\frac{\Si \left(1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{2}-\frac{\Ci \left(1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{2}-\frac{\Si \left(-1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{2}-\frac{\Ci \left(-1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{2}}{b}"," ",0,"1/b*(1/2*Si(1+tanh(b*x+a))*cos(1)-1/2*Ci(1+tanh(b*x+a))*sin(1)-1/2*Si(-1+tanh(b*x+a))*cos(1)-1/2*Ci(-1+tanh(b*x+a))*sin(1))","A"
243,0,0,61,0.599000," ","int(csc(tanh(b*x+a)),x)","\int \csc \left(\tanh \left(b x +a \right)\right)\, dx"," ",0,"int(csc(tanh(b*x+a)),x)","F"
244,1,118,139,0.089000," ","int(cos(tanh(b*x+a))^3,x)","\frac{\frac{\Si \left(3+3 \tanh \left(b x +a \right)\right) \sin \left(3\right)}{8}+\frac{\Ci \left(3+3 \tanh \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{\Si \left(-3+3 \tanh \left(b x +a \right)\right) \sin \left(3\right)}{8}-\frac{\Ci \left(-3+3 \tanh \left(b x +a \right)\right) \cos \left(3\right)}{8}+\frac{3 \Si \left(1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{8}+\frac{3 \Ci \left(1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{8}+\frac{3 \Si \left(-1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{8}-\frac{3 \Ci \left(-1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{8}}{b}"," ",0,"1/b*(1/8*Si(3+3*tanh(b*x+a))*sin(3)+1/8*Ci(3+3*tanh(b*x+a))*cos(3)+1/8*Si(-3+3*tanh(b*x+a))*sin(3)-1/8*Ci(-3+3*tanh(b*x+a))*cos(3)+3/8*Si(1+tanh(b*x+a))*sin(1)+3/8*Ci(1+tanh(b*x+a))*cos(1)+3/8*Si(-1+tanh(b*x+a))*sin(1)-3/8*Ci(-1+tanh(b*x+a))*cos(1))","A"
245,1,102,103,0.095000," ","int(cos(tanh(b*x+a))^2,x)","\frac{\Si \left(2+2 \tanh \left(b x +a \right)\right) \sin \left(2\right)}{4 b}+\frac{\Ci \left(2+2 \tanh \left(b x +a \right)\right) \cos \left(2\right)}{4 b}+\frac{\Si \left(-2+2 \tanh \left(b x +a \right)\right) \sin \left(2\right)}{4 b}-\frac{\Ci \left(-2+2 \tanh \left(b x +a \right)\right) \cos \left(2\right)}{4 b}-\frac{\ln \left(-1+\tanh \left(b x +a \right)\right)}{4 b}+\frac{\ln \left(1+\tanh \left(b x +a \right)\right)}{4 b}"," ",0,"1/4*Si(2+2*tanh(b*x+a))*sin(2)/b+1/4*Ci(2+2*tanh(b*x+a))*cos(2)/b+1/4*Si(-2+2*tanh(b*x+a))*sin(2)/b-1/4/b*Ci(-2+2*tanh(b*x+a))*cos(2)-1/4/b*ln(-1+tanh(b*x+a))+1/4*ln(1+tanh(b*x+a))/b","A"
246,1,58,67,0.103000," ","int(cos(tanh(b*x+a)),x)","\frac{\frac{\Si \left(1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{2}+\frac{\Ci \left(1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{2}+\frac{\Si \left(-1+\tanh \left(b x +a \right)\right) \sin \left(1\right)}{2}-\frac{\Ci \left(-1+\tanh \left(b x +a \right)\right) \cos \left(1\right)}{2}}{b}"," ",0,"1/b*(1/2*Si(1+tanh(b*x+a))*sin(1)+1/2*Ci(1+tanh(b*x+a))*cos(1)+1/2*Si(-1+tanh(b*x+a))*sin(1)-1/2*Ci(-1+tanh(b*x+a))*cos(1))","A"
247,0,0,61,0.501000," ","int(sec(tanh(b*x+a)),x)","\int \sec \left(\tanh \left(b x +a \right)\right)\, dx"," ",0,"int(sec(tanh(b*x+a)),x)","F"