1,1,172,97,0.037000," ","int(x^5*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\frac{x^{6} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{6}+\frac{\sqrt{e}\, x^{7} \sqrt{e \,x^{2}+d}}{48 d}-\frac{7 x^{5} \sqrt{e \,x^{2}+d}}{288 \sqrt{e}}+\frac{35 d \,x^{3} \sqrt{e \,x^{2}+d}}{1152 e^{\frac{3}{2}}}-\frac{5 d^{2} x \sqrt{e \,x^{2}+d}}{128 e^{\frac{5}{2}}}+\frac{5 d^{3} \ln \left(x \sqrt{e}+\sqrt{e \,x^{2}+d}\right)}{96 e^{3}}-\frac{x^{5} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{48 \sqrt{e}\, d}+\frac{5 x^{3} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{288 e^{\frac{3}{2}}}-\frac{5 d x \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{384 e^{\frac{5}{2}}}"," ",0,"1/6*x^6*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+1/48*e^(1/2)/d*x^7*(e*x^2+d)^(1/2)-7/288*x^5*(e*x^2+d)^(1/2)/e^(1/2)+35/1152*d*x^3*(e*x^2+d)^(1/2)/e^(3/2)-5/128*d^2*x*(e*x^2+d)^(1/2)/e^(5/2)+5/96/e^3*d^3*ln(x*e^(1/2)+(e*x^2+d)^(1/2))-1/48/e^(1/2)/d*x^5*(e*x^2+d)^(3/2)+5/288/e^(3/2)*x^3*(e*x^2+d)^(3/2)-5/384/e^(5/2)*d*x*(e*x^2+d)^(3/2)","A"
2,1,134,77,0.036000," ","int(x^3*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\frac{x^{4} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{4}+\frac{\sqrt{e}\, x^{5} \sqrt{e \,x^{2}+d}}{24 d}-\frac{5 x^{3} \sqrt{e \,x^{2}+d}}{96 \sqrt{e}}+\frac{d x \sqrt{e \,x^{2}+d}}{16 e^{\frac{3}{2}}}-\frac{3 d^{2} \ln \left(x \sqrt{e}+\sqrt{e \,x^{2}+d}\right)}{32 e^{2}}-\frac{x^{3} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{24 \sqrt{e}\, d}+\frac{x \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{32 e^{\frac{3}{2}}}"," ",0,"1/4*x^4*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+1/24*e^(1/2)/d*x^5*(e*x^2+d)^(1/2)-5/96*x^3*(e*x^2+d)^(1/2)/e^(1/2)+1/16*d*x*(e*x^2+d)^(1/2)/e^(3/2)-3/32/e^2*d^2*ln(x*e^(1/2)+(e*x^2+d)^(1/2))-1/24/e^(1/2)/d*x^3*(e*x^2+d)^(3/2)+1/32/e^(3/2)*x*(e*x^2+d)^(3/2)","A"
3,1,97,57,0.031000," ","int(x*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\frac{x^{2} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{2}+\frac{\sqrt{e}\, x^{3} \sqrt{e \,x^{2}+d}}{8 d}-\frac{x \sqrt{e \,x^{2}+d}}{8 \sqrt{e}}+\frac{d \ln \left(x \sqrt{e}+\sqrt{e \,x^{2}+d}\right)}{4 e}-\frac{x \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{8 \sqrt{e}\, d}"," ",0,"1/2*x^2*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+1/8*e^(1/2)/d*x^3*(e*x^2+d)^(1/2)-1/8*x*(e*x^2+d)^(1/2)/e^(1/2)+1/4/e*d*ln(x*e^(1/2)+(e*x^2+d)^(1/2))-1/8/e^(1/2)/d*x*(e*x^2+d)^(3/2)","A"
4,1,209,206,0.306000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)^{2}}{2}+\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right) \ln \left(1+\frac{\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}+1}{\sqrt{-\frac{x^{2} e}{e \,x^{2}+d}+1}}\right)+\polylog \left(2, -\frac{\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}+1}{\sqrt{-\frac{x^{2} e}{e \,x^{2}+d}+1}}\right)+\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right) \ln \left(1-\frac{\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}+1}{\sqrt{-\frac{x^{2} e}{e \,x^{2}+d}+1}}\right)+\polylog \left(2, \frac{\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}+1}{\sqrt{-\frac{x^{2} e}{e \,x^{2}+d}+1}}\right)"," ",0,"-1/2*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))^2+arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))*ln(1+(x*e^(1/2)/(e*x^2+d)^(1/2)+1)/(-x^2*e/(e*x^2+d)+1)^(1/2))+polylog(2,-(x*e^(1/2)/(e*x^2+d)^(1/2)+1)/(-x^2*e/(e*x^2+d)+1)^(1/2))+arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))*ln(1-(x*e^(1/2)/(e*x^2+d)^(1/2)+1)/(-x^2*e/(e*x^2+d)+1)^(1/2))+polylog(2,(x*e^(1/2)/(e*x^2+d)^(1/2)+1)/(-x^2*e/(e*x^2+d)+1)^(1/2))","A"
5,1,60,41,0.031000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^3,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{2 x^{2}}-\frac{\sqrt{e}\, \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{2 d^{2} x}+\frac{e^{\frac{3}{2}} x \sqrt{e \,x^{2}+d}}{2 d^{2}}"," ",0,"-1/2*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^2-1/2*e^(1/2)/d^2/x*(e*x^2+d)^(3/2)+1/2*e^(3/2)/d^2*x*(e*x^2+d)^(1/2)","A"
6,1,62,61,0.032000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^5,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{4 x^{4}}+\frac{e^{\frac{3}{2}} \sqrt{e \,x^{2}+d}}{4 d^{2} x}-\frac{\sqrt{e}\, \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{12 d^{2} x^{3}}"," ",0,"-1/4*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^4+1/4*e^(3/2)*(e*x^2+d)^(1/2)/d^2/x-1/12*e^(1/2)/d^2/x^3*(e*x^2+d)^(3/2)","A"
7,1,110,81,0.033000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^7,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{6 x^{6}}-\frac{e^{\frac{3}{2}} \left(-\frac{\sqrt{e \,x^{2}+d}}{3 d \,x^{3}}+\frac{2 e \sqrt{e \,x^{2}+d}}{3 d^{2} x}\right)}{6 d}+\frac{\sqrt{e}\, \left(-\frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}{5 d \,x^{5}}+\frac{2 e \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{15 d^{2} x^{3}}\right)}{6 d}"," ",0,"-1/6*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^6-1/6*e^(3/2)/d*(-1/3/d/x^3*(e*x^2+d)^(1/2)+2/3*e/d^2/x*(e*x^2+d)^(1/2))+1/6*e^(1/2)/d*(-1/5/d/x^5*(e*x^2+d)^(3/2)+2/15*e/d^2/x^3*(e*x^2+d)^(3/2))","A"
8,1,158,101,0.036000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^9,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{8 x^{8}}-\frac{e^{\frac{3}{2}} \left(-\frac{\sqrt{e \,x^{2}+d}}{5 d \,x^{5}}-\frac{4 e \left(-\frac{\sqrt{e \,x^{2}+d}}{3 d \,x^{3}}+\frac{2 e \sqrt{e \,x^{2}+d}}{3 d^{2} x}\right)}{5 d}\right)}{8 d}+\frac{\sqrt{e}\, \left(-\frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}{7 d \,x^{7}}-\frac{4 e \left(-\frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}{5 d \,x^{5}}+\frac{2 e \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{15 d^{2} x^{3}}\right)}{7 d}\right)}{8 d}"," ",0,"-1/8*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^8-1/8*e^(3/2)/d*(-1/5/d/x^5*(e*x^2+d)^(1/2)-4/5*e/d*(-1/3/d/x^3*(e*x^2+d)^(1/2)+2/3*e/d^2/x*(e*x^2+d)^(1/2)))+1/8*e^(1/2)/d*(-1/7/d/x^7*(e*x^2+d)^(3/2)-4/7*e/d*(-1/5/d/x^5*(e*x^2+d)^(3/2)+2/15*e/d^2/x^3*(e*x^2+d)^(3/2)))","A"
9,1,224,84,0.041000," ","int(x^6*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\frac{x^{7} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{7}+\frac{e^{\frac{3}{2}} \left(\frac{x^{8} \sqrt{e \,x^{2}+d}}{9 e}-\frac{8 d \left(\frac{x^{6} \sqrt{e \,x^{2}+d}}{7 e}-\frac{6 d \left(\frac{x^{4} \sqrt{e \,x^{2}+d}}{5 e}-\frac{4 d \left(\frac{x^{2} \sqrt{e \,x^{2}+d}}{3 e}-\frac{2 d \sqrt{e \,x^{2}+d}}{3 e^{2}}\right)}{5 e}\right)}{7 e}\right)}{9 e}\right)}{7 d}-\frac{\sqrt{e}\, \left(\frac{x^{6} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{9 e}-\frac{2 d \left(\frac{x^{4} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{7 e}-\frac{4 d \left(\frac{x^{2} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{5 e}-\frac{2 d \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{15 e^{2}}\right)}{7 e}\right)}{3 e}\right)}{7 d}"," ",0,"1/7*x^7*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+1/7*e^(3/2)/d*(1/9*x^8/e*(e*x^2+d)^(1/2)-8/9*d/e*(1/7*x^6/e*(e*x^2+d)^(1/2)-6/7*d/e*(1/5*x^4/e*(e*x^2+d)^(1/2)-4/5*d/e*(1/3*x^2/e*(e*x^2+d)^(1/2)-2/3*d/e^2*(e*x^2+d)^(1/2)))))-1/7*e^(1/2)/d*(1/9*x^6*(e*x^2+d)^(3/2)/e-2/3*d/e*(1/7*x^4*(e*x^2+d)^(3/2)/e-4/7*d/e*(1/5*x^2*(e*x^2+d)^(3/2)/e-2/15*d/e^2*(e*x^2+d)^(3/2))))","B"
10,1,176,67,0.034000," ","int(x^4*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\frac{x^{5} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{5}+\frac{e^{\frac{3}{2}} \left(\frac{x^{6} \sqrt{e \,x^{2}+d}}{7 e}-\frac{6 d \left(\frac{x^{4} \sqrt{e \,x^{2}+d}}{5 e}-\frac{4 d \left(\frac{x^{2} \sqrt{e \,x^{2}+d}}{3 e}-\frac{2 d \sqrt{e \,x^{2}+d}}{3 e^{2}}\right)}{5 e}\right)}{7 e}\right)}{5 d}-\frac{\sqrt{e}\, \left(\frac{x^{4} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{7 e}-\frac{4 d \left(\frac{x^{2} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{5 e}-\frac{2 d \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{15 e^{2}}\right)}{7 e}\right)}{5 d}"," ",0,"1/5*x^5*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+1/5*e^(3/2)/d*(1/7*x^6/e*(e*x^2+d)^(1/2)-6/7*d/e*(1/5*x^4/e*(e*x^2+d)^(1/2)-4/5*d/e*(1/3*x^2/e*(e*x^2+d)^(1/2)-2/3*d/e^2*(e*x^2+d)^(1/2))))-1/5*e^(1/2)/d*(1/7*x^4*(e*x^2+d)^(3/2)/e-4/7*d/e*(1/5*x^2*(e*x^2+d)^(3/2)/e-2/15*d/e^2*(e*x^2+d)^(3/2)))","B"
11,1,128,50,0.033000," ","int(x^2*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\frac{x^{3} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{3}+\frac{e^{\frac{3}{2}} \left(\frac{x^{4} \sqrt{e \,x^{2}+d}}{5 e}-\frac{4 d \left(\frac{x^{2} \sqrt{e \,x^{2}+d}}{3 e}-\frac{2 d \sqrt{e \,x^{2}+d}}{3 e^{2}}\right)}{5 e}\right)}{3 d}-\frac{\sqrt{e}\, \left(\frac{x^{2} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{5 e}-\frac{2 d \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{15 e^{2}}\right)}{3 d}"," ",0,"1/3*x^3*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+1/3*e^(3/2)/d*(1/5*x^4/e*(e*x^2+d)^(1/2)-4/5*d/e*(1/3*x^2/e*(e*x^2+d)^(1/2)-2/3*d/e^2*(e*x^2+d)^(1/2)))-1/3*e^(1/2)/d*(1/5*x^2*(e*x^2+d)^(3/2)/e-2/15*d/e^2*(e*x^2+d)^(3/2))","B"
12,1,76,32,0.031000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","x \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)+\frac{e^{\frac{3}{2}} \left(\frac{x^{2} \sqrt{e \,x^{2}+d}}{3 e}-\frac{2 d \sqrt{e \,x^{2}+d}}{3 e^{2}}\right)}{d}-\frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}{3 \sqrt{e}\, d}"," ",0,"x*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))+e^(3/2)/d*(1/3*x^2/e*(e*x^2+d)^(1/2)-2/3*d/e^2*(e*x^2+d)^(1/2))-1/3/e^(1/2)/d*(e*x^2+d)^(3/2)","B"
13,1,53,43,0.033000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^2,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x}-\frac{\sqrt{e}\, \ln \left(\frac{2 d +2 \sqrt{d}\, \sqrt{e \,x^{2}+d}}{x}\right)}{\sqrt{d}}"," ",0,"-arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x-e^(1/2)/d^(1/2)*ln((2*d+2*d^(1/2)*(e*x^2+d)^(1/2))/x)","A"
14,1,90,63,0.034000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^4,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{3 x^{3}}+\frac{e^{\frac{3}{2}} \ln \left(\frac{2 d +2 \sqrt{d}\, \sqrt{e \,x^{2}+d}}{x}\right)}{6 d^{\frac{3}{2}}}-\frac{\sqrt{e}\, \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{6 d^{2} x^{2}}+\frac{e^{\frac{3}{2}} \sqrt{e \,x^{2}+d}}{6 d^{2}}"," ",0,"-1/3*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^3+1/6*e^(3/2)/d^(3/2)*ln((2*d+2*d^(1/2)*(e*x^2+d)^(1/2))/x)-1/6*e^(1/2)/d^2/x^2*(e*x^2+d)^(3/2)+1/6*e^(3/2)/d^2*(e*x^2+d)^(1/2)","A"
15,1,130,83,0.033000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^6,x)","-\frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{5 x^{5}}+\frac{e^{\frac{3}{2}} \sqrt{e \,x^{2}+d}}{10 d^{2} x^{2}}-\frac{3 e^{\frac{5}{2}} \ln \left(\frac{2 d +2 \sqrt{d}\, \sqrt{e \,x^{2}+d}}{x}\right)}{40 d^{\frac{5}{2}}}-\frac{\sqrt{e}\, \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{20 d^{2} x^{4}}+\frac{e^{\frac{3}{2}} \left(e \,x^{2}+d \right)^{\frac{3}{2}}}{40 d^{3} x^{2}}-\frac{e^{\frac{5}{2}} \sqrt{e \,x^{2}+d}}{40 d^{3}}"," ",0,"-1/5*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^5+1/10*e^(3/2)*(e*x^2+d)^(1/2)/d^2/x^2-3/40*e^(5/2)/d^(5/2)*ln((2*d+2*d^(1/2)*(e*x^2+d)^(1/2))/x)-1/20*e^(1/2)/d^2/x^4*(e*x^2+d)^(3/2)+1/40*e^(3/2)/d^3/x^2*(e*x^2+d)^(3/2)-1/40*e^(5/2)/d^3*(e*x^2+d)^(1/2)","A"
16,-2,0,177,180.000000," ","int(x^(9/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\int x^{\frac{9}{2}} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)\, dx"," ",0,"int(x^(9/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","F"
17,-2,0,157,180.000000," ","int(x^(5/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\int x^{\frac{5}{2}} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)\, dx"," ",0,"int(x^(5/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","F"
18,-2,0,139,180.000000," ","int(x^(1/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\int \sqrt{x}\, \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)\, dx"," ",0,"int(x^(1/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","F"
19,-2,0,122,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(3/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x^{\frac{3}{2}}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(3/2),x)","F"
20,-2,0,142,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(7/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x^{\frac{7}{2}}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(7/2),x)","F"
21,-2,0,162,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(11/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x^{\frac{11}{2}}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(11/2),x)","F"
22,-2,0,182,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(15/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x^{\frac{15}{2}}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(15/2),x)","F"
23,-2,0,289,180.000000," ","int(x^(7/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\int x^{\frac{7}{2}} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)\, dx"," ",0,"int(x^(7/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","F"
24,-2,0,269,180.000000," ","int(x^(3/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","\int x^{\frac{3}{2}} \arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)\, dx"," ",0,"int(x^(3/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x)","F"
25,-2,0,248,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(1/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{\sqrt{x}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(1/2),x)","F"
26,-2,0,272,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(5/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x^{\frac{5}{2}}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(5/2),x)","F"
27,-2,0,294,180.000000," ","int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(9/2),x)","\int \frac{\arctanh \left(\frac{x \sqrt{e}}{\sqrt{e \,x^{2}+d}}\right)}{x^{\frac{9}{2}}}\, dx"," ",0,"int(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(9/2),x)","F"
28,1,48,40,0.026000," ","int(x^3*arctanh(b*x^4+a),x)","\frac{\arctanh \left(b \,x^{4}+a \right) x^{4}}{4}+\frac{\arctanh \left(b \,x^{4}+a \right) a}{4 b}+\frac{\ln \left(1-\left(b \,x^{4}+a \right)^{2}\right)}{8 b}"," ",0,"1/4*arctanh(b*x^4+a)*x^4+1/4/b*arctanh(b*x^4+a)*a+1/8*ln(1-(b*x^4+a)^2)/b","A"
29,1,121,45,0.067000," ","int(x^(-1+n)*arctanh(a+b*x^n),x)","\frac{x^{n} \ln \left(1+a +b \,x^{n}\right)}{2 n}-\frac{x^{n} \ln \left(1-a -b \,x^{n}\right)}{2 n}-\frac{\ln \left(x^{n}+\frac{a -1}{b}\right) a}{2 b n}+\frac{\ln \left(x^{n}+\frac{1+a}{b}\right) a}{2 b n}+\frac{\ln \left(x^{n}+\frac{a -1}{b}\right)}{2 b n}+\frac{\ln \left(x^{n}+\frac{1+a}{b}\right)}{2 b n}"," ",0,"1/2/n*x^n*ln(1+a+b*x^n)-1/2/n*x^n*ln(1-a-b*x^n)-1/2/b/n*ln(x^n+(a-1)/b)*a+1/2/b/n*ln(x^n+(1+a)/b)*a+1/2/b/n*ln(x^n+(a-1)/b)+1/2/b/n*ln(x^n+(1+a)/b)","B"
30,0,0,38,0.885000," ","int((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x)","\int \frac{\left(a +b \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)^{n}}{-c^{2} x^{2}+1}\, dx"," ",0,"int((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x)","F"
31,1,1449,349,1.421000," ","int((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x)","\frac{a^{3} \ln \left(c x +1\right)}{2 c}-\frac{a^{3} \ln \left(c x -1\right)}{2 c}+\frac{6 a \,b^{2} \polylog \left(3, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{6 a \,b^{2} \polylog \left(3, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{3 a \,b^{2} \polylog \left(3, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{2 c}-\frac{3 a^{2} b \dilog \left(\frac{-\frac{-c x +1}{c x +1}+1}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}\right)}{c}+\frac{3 a^{2} b \dilog \left(\frac{\left(-\frac{-c x +1}{c x +1}+1\right)^{2}}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{4}}\right)}{4 c}-\frac{3 b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(3, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{2 c}-\frac{b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3} \ln \left(1-\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{3 b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \polylog \left(2, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{6 b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(3, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3} \ln \left(1+\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{3 b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \polylog \left(2, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{6 b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(3, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3} \ln \left(1+\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{c}+\frac{3 b^{3} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \polylog \left(2, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{2 c}-\frac{6 b^{3} \polylog \left(4, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{3 b^{3} \polylog \left(4, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{4 c}-\frac{6 b^{3} \polylog \left(4, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{3 a \,b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{6 a \,b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{3 a \,b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1-\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{6 a \,b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{3 a \,b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{c}+\frac{3 a \,b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{c}"," ",0,"1/2*a^3/c*ln(c*x+1)-1/2*a^3/c*ln(c*x-1)+6*a*b^2/c*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+6*a*b^2/c*polylog(3,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-3/2*a*b^2/c*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))-3*a^2*b/c*dilog(1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2*(-(-c*x+1)/(c*x+1)+1))+3/4*a^2*b/c*dilog(1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^4*(-(-c*x+1)/(c*x+1)+1)^2)-3/2*b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))-b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-3*b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+6*b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-3*b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+6*b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))+3/2*b^3/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))-3*a*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-6*a*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-6*b^3/c*polylog(4,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+3/4*b^3/c*polylog(4,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))-6*b^3/c*polylog(4,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-3*a*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-6*a*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+3*a*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))+3*a*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))","B"
32,1,676,232,1.007000," ","int((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x)","\frac{a^{2} \ln \left(c x +1\right)}{2 c}-\frac{a^{2} \ln \left(c x -1\right)}{2 c}-\frac{b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{2 b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{2 b^{2} \polylog \left(3, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1-\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}-\frac{2 b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{2 b^{2} \polylog \left(3, \frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\sqrt{-\frac{-c x +1}{c x +1}+1}}\right)}{c}+\frac{b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{c}+\frac{b^{2} \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{c}-\frac{b^{2} \polylog \left(3, -\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}{-\frac{-c x +1}{c x +1}+1}\right)}{2 c}-\frac{2 a b \dilog \left(\frac{-\frac{-c x +1}{c x +1}+1}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}\right)}{c}+\frac{a b \dilog \left(\frac{\left(-\frac{-c x +1}{c x +1}+1\right)^{2}}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{4}}\right)}{2 c}"," ",0,"1/2*a^2/c*ln(c*x+1)-1/2*a^2/c*ln(c*x-1)-b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-2*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+2*b^2/c*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))-2*b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+2*b^2/c*polylog(3,((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)/(-(-c*x+1)/(c*x+1)+1)^(1/2))+b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))+b^2/c*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))-1/2*b^2/c*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2/(-(-c*x+1)/(c*x+1)+1))-2*a*b/c*dilog(1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2*(-(-c*x+1)/(c*x+1)+1))+1/2*a*b/c*dilog(1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^4*(-(-c*x+1)/(c*x+1)+1)^2)","B"
33,1,118,73,0.621000," ","int((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x)","\frac{a \ln \left(c x +1\right)}{2 c}-\frac{a \ln \left(c x -1\right)}{2 c}-\frac{b \dilog \left(\frac{-\frac{-c x +1}{c x +1}+1}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}\right)}{c}+\frac{b \dilog \left(\frac{\left(-\frac{-c x +1}{c x +1}+1\right)^{2}}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{4}}\right)}{4 c}"," ",0,"1/2*a/c*ln(c*x+1)-1/2*a/c*ln(c*x-1)-b/c*dilog(1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2*(-(-c*x+1)/(c*x+1)+1))+1/4*b/c*dilog(1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^4*(-(-c*x+1)/(c*x+1)+1)^2)","A"
34,0,0,38,0.931000," ","int(1/(-c^2*x^2+1)/(a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x)","\int \frac{1}{\left(-c^{2} x^{2}+1\right) \left(a +b \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)}\, dx"," ",0,"int(1/(-c^2*x^2+1)/(a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x)","F"
35,0,0,38,0.921000," ","int(1/(-c^2*x^2+1)/(a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x)","\int \frac{1}{\left(-c^{2} x^{2}+1\right) \left(a +b \arctanh \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)^{2}}\, dx"," ",0,"int(1/(-c^2*x^2+1)/(a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x)","F"
36,1,41,37,0.151000," ","int(x^m*arctanh(tanh(b*x+a)),x)","\frac{b \,x^{2} {\mathrm e}^{m \ln \left(x \right)}}{2+m}+\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x \,{\mathrm e}^{m \ln \left(x \right)}}{1+m}"," ",0,"b/(2+m)*x^2*exp(m*ln(x))+(arctanh(tanh(b*x+a))-b*x)/(1+m)*x*exp(m*ln(x))","A"
37,1,20,19,0.135000," ","int(x^2*arctanh(tanh(b*x+a)),x)","-\frac{b \,x^{4}}{12}+\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}{3}"," ",0,"-1/12*b*x^4+1/3*x^3*arctanh(tanh(b*x+a))","A"
38,1,20,19,0.132000," ","int(x*arctanh(tanh(b*x+a)),x)","-\frac{b \,x^{3}}{6}+\frac{x^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}{2}"," ",0,"-1/6*b*x^3+1/2*x^2*arctanh(tanh(b*x+a))","A"
39,1,15,14,0.028000," ","int(arctanh(tanh(b*x+a)),x)","\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2 b}"," ",0,"1/2*arctanh(tanh(b*x+a))^2/b","A"
40,1,21,21,0.148000," ","int(arctanh(tanh(b*x+a))/x,x)","\ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)-\ln \left(x \right) x b +b x"," ",0,"ln(x)*arctanh(tanh(b*x+a))-ln(x)*x*b+b*x","A"
41,1,18,17,0.138000," ","int(arctanh(tanh(b*x+a))/x^2,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{x}+b \ln \left(x \right)"," ",0,"-arctanh(tanh(b*x+a))/x+b*ln(x)","A"
42,1,20,19,0.138000," ","int(arctanh(tanh(b*x+a))/x^3,x)","-\frac{b}{2 x}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{2 x^{2}}"," ",0,"-1/2*b/x-1/2*arctanh(tanh(b*x+a))/x^2","A"
43,1,20,19,0.142000," ","int(arctanh(tanh(b*x+a))/x^4,x)","-\frac{b}{6 x^{2}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{3 x^{3}}"," ",0,"-1/6*b/x^2-1/3*arctanh(tanh(b*x+a))/x^3","A"
44,1,98,71,0.151000," ","int(x^m*arctanh(tanh(b*x+a))^2,x)","\frac{b^{2} x^{3} {\mathrm e}^{m \ln \left(x \right)}}{3+m}+\frac{\left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) x \,{\mathrm e}^{m \ln \left(x \right)}}{1+m}+\frac{2 b \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{2} {\mathrm e}^{m \ln \left(x \right)}}{2+m}"," ",0,"b^2/(3+m)*x^3*exp(m*ln(x))+(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(1+m)*x*exp(m*ln(x))+2*b*(arctanh(tanh(b*x+a))-b*x)/(2+m)*x^2*exp(m*ln(x))","A"
45,1,38,36,0.142000," ","int(x^3*arctanh(tanh(b*x+a))^2,x)","\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{4}-\frac{b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}{5}-\frac{x^{6} b}{30}\right)}{2}"," ",0,"1/4*x^4*arctanh(tanh(b*x+a))^2-1/2*b*(1/5*x^5*arctanh(tanh(b*x+a))-1/30*x^6*b)","A"
46,1,38,36,0.140000," ","int(x^2*arctanh(tanh(b*x+a))^2,x)","\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3}-\frac{2 b \left(\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}{4}-\frac{b \,x^{5}}{20}\right)}{3}"," ",0,"1/3*x^3*arctanh(tanh(b*x+a))^2-2/3*b*(1/4*x^4*arctanh(tanh(b*x+a))-1/20*b*x^5)","A"
47,1,38,30,0.140000," ","int(x*arctanh(tanh(b*x+a))^2,x)","\frac{x^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2}-b \left(-\frac{b \,x^{4}}{12}+\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}{3}\right)"," ",0,"1/2*x^2*arctanh(tanh(b*x+a))^2-b*(-1/12*b*x^4+1/3*x^3*arctanh(tanh(b*x+a)))","A"
48,1,15,14,0.027000," ","int(arctanh(tanh(b*x+a))^2,x)","\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3 b}"," ",0,"1/3*arctanh(tanh(b*x+a))^3/b","A"
49,1,55,47,0.169000," ","int(arctanh(tanh(b*x+a))^2/x,x)","\ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{2}+b^{2} x^{2} \ln \left(x \right)-\frac{3 b^{2} x^{2}}{2}-2 b \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) x +2 b \arctanh \left(\tanh \left(b x +a \right)\right) x"," ",0,"ln(x)*arctanh(tanh(b*x+a))^2+b^2*x^2*ln(x)-3/2*b^2*x^2-2*b*arctanh(tanh(b*x+a))*ln(x)*x+2*b*arctanh(tanh(b*x+a))*x","A"
50,1,42,39,0.150000," ","int(arctanh(tanh(b*x+a))^2/x^2,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{x}-2 \ln \left(x \right) x \,b^{2}+2 \ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right) b +2 b^{2} x"," ",0,"-arctanh(tanh(b*x+a))^2/x-2*ln(x)*x*b^2+2*ln(x)*arctanh(tanh(b*x+a))*b+2*b^2*x","A"
51,1,35,34,0.148000," ","int(arctanh(tanh(b*x+a))^2/x^3,x)","-\frac{b \arctanh \left(\tanh \left(b x +a \right)\right)}{x}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2 x^{2}}+b^{2} \ln \left(x \right)"," ",0,"-b*arctanh(tanh(b*x+a))/x-1/2*arctanh(tanh(b*x+a))^2/x^2+b^2*ln(x)","A"
52,1,38,29,0.143000," ","int(arctanh(tanh(b*x+a))^2/x^4,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3 x^{3}}+\frac{2 b \left(-\frac{b}{2 x}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{2 x^{2}}\right)}{3}"," ",0,"-1/3*arctanh(tanh(b*x+a))^2/x^3+2/3*b*(-1/2*b/x-1/2*arctanh(tanh(b*x+a))/x^2)","A"
53,1,38,36,0.143000," ","int(arctanh(tanh(b*x+a))^2/x^5,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{4 x^{4}}+\frac{b \left(-\frac{b}{6 x^{2}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{3 x^{3}}\right)}{2}"," ",0,"-1/4*arctanh(tanh(b*x+a))^2/x^4+1/2*b*(-1/6*b/x^2-1/3*arctanh(tanh(b*x+a))/x^3)","A"
54,1,177,110,0.145000," ","int(x^m*arctanh(tanh(b*x+a))^3,x)","\frac{b^{3} x^{4} {\mathrm e}^{m \ln \left(x \right)}}{4+m}+\frac{\left(a^{3}+3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right) x \,{\mathrm e}^{m \ln \left(x \right)}}{1+m}+\frac{3 b \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) x^{2} {\mathrm e}^{m \ln \left(x \right)}}{2+m}+\frac{3 b^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{3} {\mathrm e}^{m \ln \left(x \right)}}{3+m}"," ",0,"b^3/(4+m)*x^4*exp(m*ln(x))+(a^3+3*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3*a*(arctanh(tanh(b*x+a))-b*x-a)^2+(arctanh(tanh(b*x+a))-b*x-a)^3)/(1+m)*x*exp(m*ln(x))+3*b*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(2+m)*x^2*exp(m*ln(x))+3*b^2*(arctanh(tanh(b*x+a))-b*x)/(3+m)*x^3*exp(m*ln(x))","A"
55,1,56,53,0.144000," ","int(x^3*arctanh(tanh(b*x+a))^3,x)","\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{4}-\frac{3 b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{5}-\frac{2 b \left(\frac{x^{6} \arctanh \left(\tanh \left(b x +a \right)\right)}{6}-\frac{x^{7} b}{42}\right)}{5}\right)}{4}"," ",0,"1/4*x^4*arctanh(tanh(b*x+a))^3-3/4*b*(1/5*x^5*arctanh(tanh(b*x+a))^2-2/5*b*(1/6*x^6*arctanh(tanh(b*x+a))-1/42*x^7*b))","A"
56,1,56,47,0.150000," ","int(x^2*arctanh(tanh(b*x+a))^3,x)","\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3}-b \left(\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{4}-\frac{b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}{5}-\frac{x^{6} b}{30}\right)}{2}\right)"," ",0,"1/3*x^3*arctanh(tanh(b*x+a))^3-b*(1/4*x^4*arctanh(tanh(b*x+a))^2-1/2*b*(1/5*x^5*arctanh(tanh(b*x+a))-1/30*x^6*b))","A"
57,1,56,30,0.149000," ","int(x*arctanh(tanh(b*x+a))^3,x)","\frac{x^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{2}-\frac{3 b \left(\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3}-\frac{2 b \left(\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}{4}-\frac{b \,x^{5}}{20}\right)}{3}\right)}{2}"," ",0,"1/2*x^2*arctanh(tanh(b*x+a))^3-3/2*b*(1/3*x^3*arctanh(tanh(b*x+a))^2-2/3*b*(1/4*x^4*arctanh(tanh(b*x+a))-1/20*b*x^5))","A"
58,1,15,14,0.030000," ","int(arctanh(tanh(b*x+a))^3,x)","\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{4 b}"," ",0,"1/4*arctanh(tanh(b*x+a))^4/b","A"
59,1,92,73,0.173000," ","int(arctanh(tanh(b*x+a))^3/x,x)","\ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{3}+3 \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) x^{2} b^{2}+3 b \arctanh \left(\tanh \left(b x +a \right)\right)^{2} x +\frac{11 x^{3} b^{3}}{6}-b^{3} x^{3} \ln \left(x \right)-3 b \arctanh \left(\tanh \left(b x +a \right)\right)^{2} \ln \left(x \right) x -\frac{9 \arctanh \left(\tanh \left(b x +a \right)\right) x^{2} b^{2}}{2}"," ",0,"ln(x)*arctanh(tanh(b*x+a))^3+3*arctanh(tanh(b*x+a))*ln(x)*x^2*b^2+3*b*arctanh(tanh(b*x+a))^2*x+11/6*x^3*b^3-b^3*x^3*ln(x)-3*b*arctanh(tanh(b*x+a))^2*ln(x)*x-9/2*arctanh(tanh(b*x+a))*x^2*b^2","A"
60,1,76,66,0.175000," ","int(arctanh(tanh(b*x+a))^3/x^2,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{x}+3 \ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{2} b +3 b^{3} x^{2} \ln \left(x \right)-\frac{9 x^{2} b^{3}}{2}-6 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) x +6 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right) x"," ",0,"-arctanh(tanh(b*x+a))^3/x+3*ln(x)*arctanh(tanh(b*x+a))^2*b+3*b^3*x^2*ln(x)-9/2*x^2*b^3-6*b^2*arctanh(tanh(b*x+a))*ln(x)*x+6*b^2*arctanh(tanh(b*x+a))*x","A"
61,1,59,56,0.148000," ","int(arctanh(tanh(b*x+a))^3/x^3,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{2 x^{2}}-\frac{3 b \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2 x}-3 \ln \left(x \right) x \,b^{3}+3 \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) b^{2}+3 b^{3} x"," ",0,"-1/2*arctanh(tanh(b*x+a))^3/x^2-3/2*b*arctanh(tanh(b*x+a))^2/x-3*ln(x)*x*b^3+3*arctanh(tanh(b*x+a))*ln(x)*b^2+3*b^3*x","A"
62,1,52,51,0.210000," ","int(arctanh(tanh(b*x+a))^3/x^4,x)","-\frac{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}{x}-\frac{b \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2 x^{2}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3 x^{3}}+b^{3} \ln \left(x \right)"," ",0,"-b^2*arctanh(tanh(b*x+a))/x-1/2*b*arctanh(tanh(b*x+a))^2/x^2-1/3*arctanh(tanh(b*x+a))^3/x^3+b^3*ln(x)","A"
63,1,56,29,0.142000," ","int(arctanh(tanh(b*x+a))^3/x^5,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{4 x^{4}}+\frac{3 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3 x^{3}}+\frac{2 b \left(-\frac{b}{2 x}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{2 x^{2}}\right)}{3}\right)}{4}"," ",0,"-1/4*arctanh(tanh(b*x+a))^3/x^4+3/4*b*(-1/3*arctanh(tanh(b*x+a))^2/x^3+2/3*b*(-1/2*b/x-1/2*arctanh(tanh(b*x+a))/x^2))","A"
64,1,56,60,0.146000," ","int(arctanh(tanh(b*x+a))^3/x^6,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{5 x^{5}}+\frac{3 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{4 x^{4}}+\frac{b \left(-\frac{b}{6 x^{2}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{3 x^{3}}\right)}{2}\right)}{5}"," ",0,"-1/5*arctanh(tanh(b*x+a))^3/x^5+3/5*b*(-1/4*arctanh(tanh(b*x+a))^2/x^4+1/2*b*(-1/6*b/x^2-1/3*arctanh(tanh(b*x+a))/x^3))","A"
65,1,278,154,0.152000," ","int(x^m*arctanh(tanh(b*x+a))^4,x)","\frac{b^{4} x^{5} {\mathrm e}^{m \ln \left(x \right)}}{5+m}+\frac{\left(a^{4}+4 a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+6 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+4 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}\right) x \,{\mathrm e}^{m \ln \left(x \right)}}{1+m}+\frac{4 b \left(a^{3}+3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right) x^{2} {\mathrm e}^{m \ln \left(x \right)}}{2+m}+\frac{6 b^{2} \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) x^{3} {\mathrm e}^{m \ln \left(x \right)}}{3+m}+\frac{4 b^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{4} {\mathrm e}^{m \ln \left(x \right)}}{4+m}"," ",0,"b^4/(5+m)*x^5*exp(m*ln(x))+(a^4+4*a^3*(arctanh(tanh(b*x+a))-b*x-a)+6*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2+4*a*(arctanh(tanh(b*x+a))-b*x-a)^3+(arctanh(tanh(b*x+a))-b*x-a)^4)/(1+m)*x*exp(m*ln(x))+4*b*(a^3+3*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3*a*(arctanh(tanh(b*x+a))-b*x-a)^2+(arctanh(tanh(b*x+a))-b*x-a)^3)/(2+m)*x^2*exp(m*ln(x))+6*b^2*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(3+m)*x^3*exp(m*ln(x))+4*b^3*(arctanh(tanh(b*x+a))-b*x)/(4+m)*x^4*exp(m*ln(x))","A"
66,1,74,70,0.151000," ","int(x^6*arctanh(tanh(b*x+a))^4,x)","\frac{x^{7} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{7}-\frac{4 b \left(\frac{x^{8} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{8}-\frac{3 b \left(\frac{x^{9} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{9}-\frac{2 b \left(\frac{x^{10} \arctanh \left(\tanh \left(b x +a \right)\right)}{10}-\frac{x^{11} b}{110}\right)}{9}\right)}{8}\right)}{7}"," ",0,"1/7*x^7*arctanh(tanh(b*x+a))^4-4/7*b*(1/8*x^8*arctanh(tanh(b*x+a))^3-3/8*b*(1/9*x^9*arctanh(tanh(b*x+a))^2-2/9*b*(1/10*x^10*arctanh(tanh(b*x+a))-1/110*x^11*b)))","A"
67,1,74,70,0.147000," ","int(x^5*arctanh(tanh(b*x+a))^4,x)","\frac{x^{6} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{6}-\frac{2 b \left(\frac{x^{7} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{7}-\frac{3 b \left(\frac{x^{8} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{8}-\frac{b \left(\frac{x^{9} \arctanh \left(\tanh \left(b x +a \right)\right)}{9}-\frac{x^{10} b}{90}\right)}{4}\right)}{7}\right)}{3}"," ",0,"1/6*x^6*arctanh(tanh(b*x+a))^4-2/3*b*(1/7*x^7*arctanh(tanh(b*x+a))^3-3/7*b*(1/8*x^8*arctanh(tanh(b*x+a))^2-1/4*b*(1/9*x^9*arctanh(tanh(b*x+a))-1/90*x^10*b)))","A"
68,1,74,70,0.147000," ","int(x^4*arctanh(tanh(b*x+a))^4,x)","\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{5}-\frac{4 b \left(\frac{x^{6} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{6}-\frac{b \left(\frac{x^{7} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{7}-\frac{2 b \left(\frac{x^{8} \arctanh \left(\tanh \left(b x +a \right)\right)}{8}-\frac{x^{9} b}{72}\right)}{7}\right)}{2}\right)}{5}"," ",0,"1/5*x^5*arctanh(tanh(b*x+a))^4-4/5*b*(1/6*x^6*arctanh(tanh(b*x+a))^3-1/2*b*(1/7*x^7*arctanh(tanh(b*x+a))^2-2/7*b*(1/8*x^8*arctanh(tanh(b*x+a))-1/72*x^9*b)))","A"
69,1,74,64,0.146000," ","int(x^3*arctanh(tanh(b*x+a))^4,x)","\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{4}-b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{5}-\frac{3 b \left(\frac{x^{6} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{6}-\frac{b \left(\frac{x^{7} \arctanh \left(\tanh \left(b x +a \right)\right)}{7}-\frac{x^{8} b}{56}\right)}{3}\right)}{5}\right)"," ",0,"1/4*x^4*arctanh(tanh(b*x+a))^4-b*(1/5*x^5*arctanh(tanh(b*x+a))^3-3/5*b*(1/6*x^6*arctanh(tanh(b*x+a))^2-1/3*b*(1/7*x^7*arctanh(tanh(b*x+a))-1/56*x^8*b)))","A"
70,1,74,47,0.151000," ","int(x^2*arctanh(tanh(b*x+a))^4,x)","\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{3}-\frac{4 b \left(\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{4}-\frac{3 b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{5}-\frac{2 b \left(\frac{x^{6} \arctanh \left(\tanh \left(b x +a \right)\right)}{6}-\frac{x^{7} b}{42}\right)}{5}\right)}{4}\right)}{3}"," ",0,"1/3*x^3*arctanh(tanh(b*x+a))^4-4/3*b*(1/4*x^4*arctanh(tanh(b*x+a))^3-3/4*b*(1/5*x^5*arctanh(tanh(b*x+a))^2-2/5*b*(1/6*x^6*arctanh(tanh(b*x+a))-1/42*x^7*b)))","A"
71,1,74,30,0.155000," ","int(x*arctanh(tanh(b*x+a))^4,x)","\frac{x^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{2}-2 b \left(\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3}-b \left(\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{4}-\frac{b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}{5}-\frac{x^{6} b}{30}\right)}{2}\right)\right)"," ",0,"1/2*x^2*arctanh(tanh(b*x+a))^4-2*b*(1/3*x^3*arctanh(tanh(b*x+a))^3-b*(1/4*x^4*arctanh(tanh(b*x+a))^2-1/2*b*(1/5*x^5*arctanh(tanh(b*x+a))-1/30*x^6*b)))","B"
72,1,15,14,0.030000," ","int(arctanh(tanh(b*x+a))^4,x)","\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{5}}{5 b}"," ",0,"1/5*arctanh(tanh(b*x+a))^5/b","A"
73,1,127,99,0.170000," ","int(arctanh(tanh(b*x+a))^4/x,x)","\ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{4}-4 \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) x^{3} b^{3}+6 \arctanh \left(\tanh \left(b x +a \right)\right)^{2} \ln \left(x \right) x^{2} b^{2}+4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{3} x +b^{4} x^{4} \ln \left(x \right)-\frac{25 b^{4} x^{4}}{12}-4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{3} \ln \left(x \right) x -9 \arctanh \left(\tanh \left(b x +a \right)\right)^{2} x^{2} b^{2}+\frac{22 \arctanh \left(\tanh \left(b x +a \right)\right) x^{3} b^{3}}{3}"," ",0,"ln(x)*arctanh(tanh(b*x+a))^4-4*arctanh(tanh(b*x+a))*ln(x)*x^3*b^3+6*arctanh(tanh(b*x+a))^2*ln(x)*x^2*b^2+4*b*arctanh(tanh(b*x+a))^3*x+b^4*x^4*ln(x)-25/12*b^4*x^4-4*b*arctanh(tanh(b*x+a))^3*ln(x)*x-9*arctanh(tanh(b*x+a))^2*x^2*b^2+22/3*arctanh(tanh(b*x+a))*x^3*b^3","A"
74,1,112,93,0.179000," ","int(arctanh(tanh(b*x+a))^4/x^2,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{x}+4 \ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{3} b +12 \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) x^{2} b^{3}+12 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2} x +\frac{22 x^{3} b^{4}}{3}-4 b^{4} x^{3} \ln \left(x \right)-12 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2} \ln \left(x \right) x -18 \arctanh \left(\tanh \left(b x +a \right)\right) x^{2} b^{3}"," ",0,"-arctanh(tanh(b*x+a))^4/x+4*ln(x)*arctanh(tanh(b*x+a))^3*b+12*arctanh(tanh(b*x+a))*ln(x)*x^2*b^3+12*b^2*arctanh(tanh(b*x+a))^2*x+22/3*x^3*b^4-4*b^4*x^3*ln(x)-12*b^2*arctanh(tanh(b*x+a))^2*ln(x)*x-18*arctanh(tanh(b*x+a))*x^2*b^3","A"
75,1,93,85,0.182000," ","int(arctanh(tanh(b*x+a))^4/x^3,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{2 x^{2}}-\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{x}+6 b^{2} \ln \left(x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{2}+6 b^{4} x^{2} \ln \left(x \right)-9 x^{2} b^{4}-12 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) x +12 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right) x"," ",0,"-1/2*arctanh(tanh(b*x+a))^4/x^2-2*b*arctanh(tanh(b*x+a))^3/x+6*b^2*ln(x)*arctanh(tanh(b*x+a))^2+6*b^4*x^2*ln(x)-9*x^2*b^4-12*b^3*arctanh(tanh(b*x+a))*ln(x)*x+12*b^3*arctanh(tanh(b*x+a))*x","A"
76,1,76,73,0.157000," ","int(arctanh(tanh(b*x+a))^4/x^4,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{3 x^{3}}-\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3 x^{2}}-\frac{2 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{x}-4 \ln \left(x \right) x \,b^{4}+4 \arctanh \left(\tanh \left(b x +a \right)\right) \ln \left(x \right) b^{3}+4 b^{4} x"," ",0,"-1/3*arctanh(tanh(b*x+a))^4/x^3-2/3*b*arctanh(tanh(b*x+a))^3/x^2-2*b^2*arctanh(tanh(b*x+a))^2/x-4*ln(x)*x*b^4+4*arctanh(tanh(b*x+a))*ln(x)*b^3+4*b^4*x","A"
77,1,69,68,0.150000," ","int(arctanh(tanh(b*x+a))^4/x^5,x)","-\frac{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}{x}-\frac{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2 x^{2}}-\frac{b \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3 x^{3}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{4 x^{4}}+b^{4} \ln \left(x \right)"," ",0,"-b^3*arctanh(tanh(b*x+a))/x-1/2*b^2*arctanh(tanh(b*x+a))^2/x^2-1/3*b*arctanh(tanh(b*x+a))^3/x^3-1/4*arctanh(tanh(b*x+a))^4/x^4+b^4*ln(x)","A"
78,1,74,29,0.150000," ","int(arctanh(tanh(b*x+a))^4/x^6,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{5 x^{5}}+\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{4 x^{4}}+\frac{3 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3 x^{3}}+\frac{2 b \left(-\frac{b}{2 x}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{2 x^{2}}\right)}{3}\right)}{4}\right)}{5}"," ",0,"-1/5*arctanh(tanh(b*x+a))^4/x^5+4/5*b*(-1/4*arctanh(tanh(b*x+a))^3/x^4+3/4*b*(-1/3*arctanh(tanh(b*x+a))^2/x^3+2/3*b*(-1/2*b/x-1/2*arctanh(tanh(b*x+a))/x^2)))","B"
79,1,74,60,0.154000," ","int(arctanh(tanh(b*x+a))^4/x^7,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{6 x^{6}}+\frac{2 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{5 x^{5}}+\frac{3 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{4 x^{4}}+\frac{b \left(-\frac{b}{6 x^{2}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{3 x^{3}}\right)}{2}\right)}{5}\right)}{3}"," ",0,"-1/6*arctanh(tanh(b*x+a))^4/x^6+2/3*b*(-1/5*arctanh(tanh(b*x+a))^3/x^5+3/5*b*(-1/4*arctanh(tanh(b*x+a))^2/x^4+1/2*b*(-1/6*b/x^2-1/3*arctanh(tanh(b*x+a))/x^3)))","A"
80,1,74,92,0.151000," ","int(arctanh(tanh(b*x+a))^4/x^8,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{7 x^{7}}+\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{6 x^{6}}+\frac{b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{5 x^{5}}+\frac{2 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{4 x^{4}}-\frac{b}{12 x^{3}}\right)}{5}\right)}{2}\right)}{7}"," ",0,"-1/7*arctanh(tanh(b*x+a))^4/x^7+4/7*b*(-1/6*arctanh(tanh(b*x+a))^3/x^6+1/2*b*(-1/5*arctanh(tanh(b*x+a))^2/x^5+2/5*b*(-1/4*arctanh(tanh(b*x+a))/x^4-1/12*b/x^3)))","A"
81,1,74,70,0.152000," ","int(arctanh(tanh(b*x+a))^4/x^9,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{8 x^{8}}+\frac{b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{7 x^{7}}+\frac{3 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{6 x^{6}}+\frac{b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{5 x^{5}}-\frac{b}{20 x^{4}}\right)}{3}\right)}{7}\right)}{2}"," ",0,"-1/8*arctanh(tanh(b*x+a))^4/x^8+1/2*b*(-1/7/x^7*arctanh(tanh(b*x+a))^3+3/7*b*(-1/6/x^6*arctanh(tanh(b*x+a))^2+1/3*b*(-1/5/x^5*arctanh(tanh(b*x+a))-1/20/x^4*b)))","A"
82,1,74,70,0.153000," ","int(arctanh(tanh(b*x+a))^4/x^10,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{9 x^{9}}+\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{8 x^{8}}+\frac{3 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{7 x^{7}}+\frac{2 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{6 x^{6}}-\frac{b}{30 x^{5}}\right)}{7}\right)}{8}\right)}{9}"," ",0,"-1/9*arctanh(tanh(b*x+a))^4/x^9+4/9*b*(-1/8/x^8*arctanh(tanh(b*x+a))^3+3/8*b*(-1/7/x^7*arctanh(tanh(b*x+a))^2+2/7*b*(-1/6/x^6*arctanh(tanh(b*x+a))-1/30/x^5*b)))","A"
83,1,74,70,0.149000," ","int(arctanh(tanh(b*x+a))^4/x^11,x)","-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{10 x^{10}}+\frac{2 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{9 x^{9}}+\frac{b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{8 x^{8}}+\frac{b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{7 x^{7}}-\frac{b}{42 x^{6}}\right)}{4}\right)}{3}\right)}{5}"," ",0,"-1/10*arctanh(tanh(b*x+a))^4/x^10+2/5*b*(-1/9/x^9*arctanh(tanh(b*x+a))^3+1/3*b*(-1/8/x^8*arctanh(tanh(b*x+a))^2+1/4*b*(-1/7/x^7*arctanh(tanh(b*x+a))-1/42/x^6*b)))","A"
84,1,110,30,0.166000," ","int(x*arctanh(tanh(b*x+a))^6,x)","\frac{x^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{6}}{2}-3 b \left(\frac{x^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{5}}{3}-\frac{5 b \left(\frac{x^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{4}}{4}-b \left(\frac{x^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{5}-\frac{3 b \left(\frac{x^{6} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{6}-\frac{b \left(\frac{x^{7} \arctanh \left(\tanh \left(b x +a \right)\right)}{7}-\frac{x^{8} b}{56}\right)}{3}\right)}{5}\right)\right)}{3}\right)"," ",0,"1/2*x^2*arctanh(tanh(b*x+a))^6-3*b*(1/3*x^3*arctanh(tanh(b*x+a))^5-5/3*b*(1/4*x^4*arctanh(tanh(b*x+a))^4-b*(1/5*x^5*arctanh(tanh(b*x+a))^3-3/5*b*(1/6*x^6*arctanh(tanh(b*x+a))^2-1/3*b*(1/7*x^7*arctanh(tanh(b*x+a))-1/56*x^8*b)))))","B"
85,0,0,55,1.040000," ","int(x^m/arctanh(tanh(b*x+a)),x)","\int \frac{x^{m}}{\arctanh \left(\tanh \left(b x +a \right)\right)}\, dx"," ",0,"int(x^m/arctanh(tanh(b*x+a)),x)","F"
86,1,202,77,0.145000," ","int(x^3/arctanh(tanh(b*x+a)),x)","\frac{x^{3}}{3 b}-\frac{a \,x^{2}}{2 b^{2}}-\frac{x^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{2}}+\frac{a^{2} x}{b^{3}}+\frac{2 x a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3}}+\frac{x \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3}}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{3}}{b^{4}}-\frac{3 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4}}-\frac{3 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4}}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{4}}"," ",0,"1/3*x^3/b-1/2/b^2*a*x^2-1/2/b^2*x^2*(arctanh(tanh(b*x+a))-b*x-a)+1/b^3*a^2*x+2/b^3*x*a*(arctanh(tanh(b*x+a))-b*x-a)+1/b^3*x*(arctanh(tanh(b*x+a))-b*x-a)^2-1/b^4*ln(arctanh(tanh(b*x+a)))*a^3-3/b^4*ln(arctanh(tanh(b*x+a)))*a^2*(arctanh(tanh(b*x+a))-b*x-a)-3/b^4*ln(arctanh(tanh(b*x+a)))*a*(arctanh(tanh(b*x+a))-b*x-a)^2-1/b^4*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
87,1,111,54,0.139000," ","int(x^2/arctanh(tanh(b*x+a)),x)","\frac{x^{2}}{2 b}-\frac{a x}{b^{2}}-\frac{x \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{2}}+\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{2}}{b^{3}}+\frac{2 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3}}+\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3}}"," ",0,"1/2*x^2/b-1/b^2*a*x-1/b^2*x*(arctanh(tanh(b*x+a))-b*x-a)+1/b^3*ln(arctanh(tanh(b*x+a)))*a^2+2/b^3*ln(arctanh(tanh(b*x+a)))*a*(arctanh(tanh(b*x+a))-b*x-a)+1/b^3*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
88,1,49,31,0.145000," ","int(x/arctanh(tanh(b*x+a)),x)","\frac{x}{b}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a}{b^{2}}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{2}}"," ",0,"x/b-1/b^2*ln(arctanh(tanh(b*x+a)))*a-1/b^2*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)","A"
89,1,13,12,0.028000," ","int(1/arctanh(tanh(b*x+a)),x)","\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{b}"," ",0,"ln(arctanh(tanh(b*x+a)))/b","A"
90,1,43,44,0.142000," ","int(1/x/arctanh(tanh(b*x+a)),x)","\frac{\ln \left(x \right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}"," ",0,"1/(arctanh(tanh(b*x+a))-b*x)*ln(x)-1/(arctanh(tanh(b*x+a))-b*x)*ln(arctanh(tanh(b*x+a)))","A"
91,1,64,65,0.144000," ","int(1/x^2/arctanh(tanh(b*x+a)),x)","-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x}-\frac{b \ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{b \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}"," ",0,"-1/(arctanh(tanh(b*x+a))-b*x)/x-1/(arctanh(tanh(b*x+a))-b*x)^2*b*ln(x)+1/(arctanh(tanh(b*x+a))-b*x)^2*b*ln(arctanh(tanh(b*x+a)))","A"
92,1,87,90,0.147000," ","int(1/x^3/arctanh(tanh(b*x+a)),x)","-\frac{1}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{2}}+\frac{b^{2} \ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x}-\frac{b^{2} \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}"," ",0,"-1/2/(arctanh(tanh(b*x+a))-b*x)/x^2+1/(arctanh(tanh(b*x+a))-b*x)^3*b^2*ln(x)+1/(arctanh(tanh(b*x+a))-b*x)^2*b/x-1/(arctanh(tanh(b*x+a))-b*x)^3*b^2*ln(arctanh(tanh(b*x+a)))","A"
93,0,0,67,2.777000," ","int(x^m/arctanh(tanh(b*x+a))^2,x)","\int \frac{x^{m}}{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}\, dx"," ",0,"int(x^m/arctanh(tanh(b*x+a))^2,x)","F"
94,1,350,96,0.154000," ","int(x^4/arctanh(tanh(b*x+a))^2,x)","\frac{x^{3}}{3 b^{2}}-\frac{a \,x^{2}}{b^{3}}-\frac{x^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3}}+\frac{3 a^{2} x}{b^{4}}+\frac{6 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x}{b^{4}}+\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} x}{b^{4}}-\frac{4 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{3}}{b^{5}}-\frac{12 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{5}}-\frac{12 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{5}}-\frac{4 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{5}}-\frac{a^{4}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{4 a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{6 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{4 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"1/3*x^3/b^2-1/b^3*a*x^2-1/b^3*x^2*(arctanh(tanh(b*x+a))-b*x-a)+3/b^4*a^2*x+6/b^4*a*(arctanh(tanh(b*x+a))-b*x-a)*x+3/b^4*(arctanh(tanh(b*x+a))-b*x-a)^2*x-4/b^5*ln(arctanh(tanh(b*x+a)))*a^3-12/b^5*ln(arctanh(tanh(b*x+a)))*a^2*(arctanh(tanh(b*x+a))-b*x-a)-12/b^5*ln(arctanh(tanh(b*x+a)))*a*(arctanh(tanh(b*x+a))-b*x-a)^2-4/b^5*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)^3-1/b^5/arctanh(tanh(b*x+a))*a^4-4/b^5/arctanh(tanh(b*x+a))*a^3*(arctanh(tanh(b*x+a))-b*x-a)-6/b^5/arctanh(tanh(b*x+a))*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2-4/b^5/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)^3-1/b^5/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^4","B"
95,1,223,73,0.151000," ","int(x^3/arctanh(tanh(b*x+a))^2,x)","\frac{x^{2}}{2 b^{2}}-\frac{2 a x}{b^{3}}-\frac{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x}{b^{3}}+\frac{3 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{2}}{b^{4}}+\frac{6 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4}}+\frac{3 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4}}+\frac{a^{3}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"1/2*x^2/b^2-2*a*x/b^3-2/b^3*(arctanh(tanh(b*x+a))-b*x-a)*x+3/b^4*ln(arctanh(tanh(b*x+a)))*a^2+6/b^4*ln(arctanh(tanh(b*x+a)))*a*(arctanh(tanh(b*x+a))-b*x-a)+3/b^4*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)^2+1/b^4/arctanh(tanh(b*x+a))*a^3+3/b^4/arctanh(tanh(b*x+a))*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3/b^4/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)^2+1/b^4/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
96,1,127,50,0.147000," ","int(x^2/arctanh(tanh(b*x+a))^2,x)","\frac{x}{b^{2}}-\frac{a^{2}}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a}{b^{3}}-\frac{2 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3}}"," ",0,"x/b^2-1/b^3/arctanh(tanh(b*x+a))*a^2-2/b^3/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)-1/b^3/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^2-2/b^3*ln(arctanh(tanh(b*x+a)))*a-2/b^3*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)","B"
97,1,56,28,0.142000," ","int(x/arctanh(tanh(b*x+a))^2,x)","\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{b^{2}}+\frac{a}{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a}{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"ln(arctanh(tanh(b*x+a)))/b^2+1/b^2/arctanh(tanh(b*x+a))*a+1/b^2/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)","A"
98,1,15,14,0.028000," ","int(1/arctanh(tanh(b*x+a))^2,x)","-\frac{1}{b \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"-1/b/arctanh(tanh(b*x+a))","A"
99,1,67,70,0.151000," ","int(1/x/arctanh(tanh(b*x+a))^2,x)","\frac{\ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"1/(arctanh(tanh(b*x+a))-b*x)^2*ln(x)-1/(arctanh(tanh(b*x+a))-b*x)^2*ln(arctanh(tanh(b*x+a)))+1/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))","A"
100,1,91,102,0.151000," ","int(1/x^2/arctanh(tanh(b*x+a))^2,x)","-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x}-\frac{2 b \ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}-\frac{b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{2 b \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}"," ",0,"-1/(arctanh(tanh(b*x+a))-b*x)^2/x-2/(arctanh(tanh(b*x+a))-b*x)^3*b*ln(x)-1/(arctanh(tanh(b*x+a))-b*x)^2*b/arctanh(tanh(b*x+a))+2/(arctanh(tanh(b*x+a))-b*x)^3*b*ln(arctanh(tanh(b*x+a)))","A"
101,1,116,139,0.148000," ","int(1/x^3/arctanh(tanh(b*x+a))^2,x)","-\frac{1}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{2}}+\frac{3 b^{2} \ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4}}+\frac{2 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} x}-\frac{3 b^{2} \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4}}+\frac{b^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"-1/2/(arctanh(tanh(b*x+a))-b*x)^2/x^2+3/(arctanh(tanh(b*x+a))-b*x)^4*b^2*ln(x)+2/(arctanh(tanh(b*x+a))-b*x)^3*b/x-3/(arctanh(tanh(b*x+a))-b*x)^4*b^2*ln(arctanh(tanh(b*x+a)))+1/(arctanh(tanh(b*x+a))-b*x)^3*b^2/arctanh(tanh(b*x+a))","A"
102,0,0,90,2.987000," ","int(x^m/arctanh(tanh(b*x+a))^3,x)","\int \frac{x^{m}}{\arctanh \left(\tanh \left(b x +a \right)\right)^{3}}\, dx"," ",0,"int(x^m/arctanh(tanh(b*x+a))^3,x)","F"
103,1,371,90,0.154000," ","int(x^4/arctanh(tanh(b*x+a))^3,x)","\frac{x^{2}}{2 b^{3}}-\frac{3 a x}{b^{4}}-\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x}{b^{4}}+\frac{6 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a^{2}}{b^{5}}+\frac{12 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{5}}+\frac{6 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{5}}-\frac{a^{4}}{2 b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{2 a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{2 b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{4 a^{3}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{12 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{12 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{5} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"1/2*x^2/b^3-3/b^4*a*x-3/b^4*(arctanh(tanh(b*x+a))-b*x-a)*x+6/b^5*ln(arctanh(tanh(b*x+a)))*a^2+12/b^5*ln(arctanh(tanh(b*x+a)))*a*(arctanh(tanh(b*x+a))-b*x-a)+6/b^5*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)^2-1/2/b^5/arctanh(tanh(b*x+a))^2*a^4-2/b^5/arctanh(tanh(b*x+a))^2*a^3*(arctanh(tanh(b*x+a))-b*x-a)-3/b^5/arctanh(tanh(b*x+a))^2*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2-2/b^5/arctanh(tanh(b*x+a))^2*a*(arctanh(tanh(b*x+a))-b*x-a)^3-1/2/b^5/arctanh(tanh(b*x+a))^2*(arctanh(tanh(b*x+a))-b*x-a)^4+4/b^5/arctanh(tanh(b*x+a))*a^3+12/b^5/arctanh(tanh(b*x+a))*a^2*(arctanh(tanh(b*x+a))-b*x-a)+12/b^5/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)^2+4/b^5/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
104,1,239,67,0.149000," ","int(x^3/arctanh(tanh(b*x+a))^3,x)","\frac{x}{b^{3}}+\frac{a^{3}}{2 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{2 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{2 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{3 a^{2}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{6 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{3 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) a}{b^{4}}-\frac{3 \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4}}"," ",0,"x/b^3+1/2/b^4/arctanh(tanh(b*x+a))^2*a^3+3/2/b^4/arctanh(tanh(b*x+a))^2*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3/2/b^4/arctanh(tanh(b*x+a))^2*a*(arctanh(tanh(b*x+a))-b*x-a)^2+1/2/b^4/arctanh(tanh(b*x+a))^2*(arctanh(tanh(b*x+a))-b*x-a)^3-3/b^4/arctanh(tanh(b*x+a))*a^2-6/b^4/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)-3/b^4/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^2-3/b^4*ln(arctanh(tanh(b*x+a)))*a-3/b^4*ln(arctanh(tanh(b*x+a)))*(arctanh(tanh(b*x+a))-b*x-a)","B"
105,1,136,45,0.145000," ","int(x^2/arctanh(tanh(b*x+a))^3,x)","-\frac{a^{2}}{2 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{2 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{2 a}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)-2 b x -2 a}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{b^{3}}"," ",0,"-1/2/b^3/arctanh(tanh(b*x+a))^2*a^2-1/b^3/arctanh(tanh(b*x+a))^2*a*(arctanh(tanh(b*x+a))-b*x-a)-1/2/b^3/arctanh(tanh(b*x+a))^2*(arctanh(tanh(b*x+a))-b*x-a)^2+2/b^3/arctanh(tanh(b*x+a))*a+2/b^3/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)+ln(arctanh(tanh(b*x+a)))/b^3","B"
106,1,43,30,0.161000," ","int(x/arctanh(tanh(b*x+a))^3,x)","-\frac{b x -\arctanh \left(\tanh \left(b x +a \right)\right)}{2 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{1}{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"-1/2*(b*x-arctanh(tanh(b*x+a)))/b^2/arctanh(tanh(b*x+a))^2-1/b^2/arctanh(tanh(b*x+a))","A"
107,1,15,14,0.027000," ","int(1/arctanh(tanh(b*x+a))^3,x)","-\frac{1}{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}"," ",0,"-1/2/b/arctanh(tanh(b*x+a))^2","A"
108,1,92,95,0.149000," ","int(1/x/arctanh(tanh(b*x+a))^3,x)","\frac{\ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}-\frac{\ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{1}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}"," ",0,"1/(arctanh(tanh(b*x+a))-b*x)^3*ln(x)-1/(arctanh(tanh(b*x+a))-b*x)^3*ln(arctanh(tanh(b*x+a)))+1/(arctanh(tanh(b*x+a))-b*x)^2/arctanh(tanh(b*x+a))+1/2/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^2","A"
109,1,117,129,0.151000," ","int(1/x^2/arctanh(tanh(b*x+a))^3,x)","-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} x}-\frac{3 b \ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4}}-\frac{b}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{3 b \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4}}-\frac{2 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}"," ",0,"-1/(arctanh(tanh(b*x+a))-b*x)^3/x-3/(arctanh(tanh(b*x+a))-b*x)^4*b*ln(x)-1/2/(arctanh(tanh(b*x+a))-b*x)^2*b/arctanh(tanh(b*x+a))^2+3/(arctanh(tanh(b*x+a))-b*x)^4*b*ln(arctanh(tanh(b*x+a)))-2/(arctanh(tanh(b*x+a))-b*x)^3*b/arctanh(tanh(b*x+a))","A"
110,1,145,168,0.156000," ","int(1/x^3/arctanh(tanh(b*x+a))^3,x)","-\frac{1}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} x^{2}}+\frac{6 b^{2} \ln \left(x \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5}}+\frac{3 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} x}-\frac{6 b^{2} \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5}}+\frac{3 b^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{b^{2}}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}"," ",0,"-1/2/(arctanh(tanh(b*x+a))-b*x)^3/x^2+6/(arctanh(tanh(b*x+a))-b*x)^5*b^2*ln(x)+3/(arctanh(tanh(b*x+a))-b*x)^4*b/x-6/(arctanh(tanh(b*x+a))-b*x)^5*b^2*ln(arctanh(tanh(b*x+a)))+3/(arctanh(tanh(b*x+a))-b*x)^4*b^2/arctanh(tanh(b*x+a))+1/2/(arctanh(tanh(b*x+a))-b*x)^3*b^2/arctanh(tanh(b*x+a))^2","A"
111,1,154,81,0.172000," ","int(x^4*arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{11}{2}}}{11}+\frac{2 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}+\left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{4 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}}{b^{5}}"," ",0,"2/b^5*(1/11*arctanh(tanh(b*x+a))^(11/2)+1/9*(-4*arctanh(tanh(b*x+a))+4*b*x)*arctanh(tanh(b*x+a))^(9/2)+1/7*(2*(b*x-arctanh(tanh(b*x+a)))^2+(-2*arctanh(tanh(b*x+a))+2*b*x)^2)*arctanh(tanh(b*x+a))^(7/2)+2/5*(b*x-arctanh(tanh(b*x+a)))^2*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(5/2)+1/3*(b*x-arctanh(tanh(b*x+a)))^4*arctanh(tanh(b*x+a))^(3/2))","A"
112,1,124,64,0.150000," ","int(x^3*arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(-3 \arctanh \left(\tanh \left(b x +a \right)\right)+3 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)+\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}}{b^{4}}"," ",0,"2/b^4*(1/9*arctanh(tanh(b*x+a))^(9/2)+1/7*(-3*arctanh(tanh(b*x+a))+3*b*x)*arctanh(tanh(b*x+a))^(7/2)+1/5*((b*x-arctanh(tanh(b*x+a)))*(-2*arctanh(tanh(b*x+a))+2*b*x)+(b*x-arctanh(tanh(b*x+a)))^2)*arctanh(tanh(b*x+a))^(5/2)+1/3*(b*x-arctanh(tanh(b*x+a)))^3*arctanh(tanh(b*x+a))^(3/2))","A"
113,1,69,47,0.148000," ","int(x^2*arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}}{b^{3}}"," ",0,"2/b^3*(1/7*arctanh(tanh(b*x+a))^(7/2)+1/5*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(5/2)+1/3*(b*x-arctanh(tanh(b*x+a)))^2*arctanh(tanh(b*x+a))^(3/2))","A"
114,1,42,30,0.151000," ","int(x*arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}}{b^{2}}"," ",0,"2/b^2*(1/5*arctanh(tanh(b*x+a))^(5/2)+1/3*(b*x-arctanh(tanh(b*x+a)))*arctanh(tanh(b*x+a))^(3/2))","A"
115,1,15,14,0.029000," ","int(arctanh(tanh(b*x+a))^(1/2),x)","\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 b}"," ",0,"2/3*arctanh(tanh(b*x+a))^(3/2)/b","A"
116,1,54,55,0.152000," ","int(arctanh(tanh(b*x+a))^(1/2)/x,x)","2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}\, \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*arctanh(tanh(b*x+a))^(1/2)-2*(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))","A"
117,1,63,58,0.161000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^2,x)","2 b \left(-\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{2 b x}-\frac{\arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b*(-1/2*arctanh(tanh(b*x+a))^(1/2)/b/x-1/2/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
118,1,92,105,0.161000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^3,x)","2 b^{2} \left(\frac{-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{8 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}-\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8}}{b^{2} x^{2}}+\frac{\arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{8 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{\frac{3}{2}}}\right)"," ",0,"2*b^2*((-1/8/(arctanh(tanh(b*x+a))-b*x)*arctanh(tanh(b*x+a))^(3/2)-1/8*arctanh(tanh(b*x+a))^(1/2))/b^2/x^2+1/8/(arctanh(tanh(b*x+a))-b*x)^(3/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
119,1,185,151,0.177000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^4,x)","2 b^{3} \left(\frac{\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{16 a^{2}+32 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+16 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{6 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}-\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{16}}{b^{3} x^{3}}-\frac{\arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{16 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b^3*((1/16/(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(5/2)-1/6/(arctanh(tanh(b*x+a))-b*x)*arctanh(tanh(b*x+a))^(3/2)-1/16*arctanh(tanh(b*x+a))^(1/2))/b^3/x^3-1/16/(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
120,1,154,81,0.138000," ","int(x^4*arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{13}{2}}}{13}+\frac{2 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{11}{2}}}{11}+\frac{2 \left(2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}+\left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{4 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}}{b^{5}}"," ",0,"2/b^5*(1/13*arctanh(tanh(b*x+a))^(13/2)+1/11*(-4*arctanh(tanh(b*x+a))+4*b*x)*arctanh(tanh(b*x+a))^(11/2)+1/9*(2*(b*x-arctanh(tanh(b*x+a)))^2+(-2*arctanh(tanh(b*x+a))+2*b*x)^2)*arctanh(tanh(b*x+a))^(9/2)+2/7*(b*x-arctanh(tanh(b*x+a)))^2*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(7/2)+1/5*(b*x-arctanh(tanh(b*x+a)))^4*arctanh(tanh(b*x+a))^(5/2))","A"
121,1,124,64,0.137000," ","int(x^3*arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{11}{2}}}{11}+\frac{2 \left(-3 \arctanh \left(\tanh \left(b x +a \right)\right)+3 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)+\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}}{b^{4}}"," ",0,"2/b^4*(1/11*arctanh(tanh(b*x+a))^(11/2)+1/9*(-3*arctanh(tanh(b*x+a))+3*b*x)*arctanh(tanh(b*x+a))^(9/2)+1/7*((b*x-arctanh(tanh(b*x+a)))*(-2*arctanh(tanh(b*x+a))+2*b*x)+(b*x-arctanh(tanh(b*x+a)))^2)*arctanh(tanh(b*x+a))^(7/2)+1/5*(b*x-arctanh(tanh(b*x+a)))^3*arctanh(tanh(b*x+a))^(5/2))","A"
122,1,69,47,0.144000," ","int(x^2*arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}}{b^{3}}"," ",0,"2/b^3*(1/9*arctanh(tanh(b*x+a))^(9/2)+1/7*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(7/2)+1/5*(b*x-arctanh(tanh(b*x+a)))^2*arctanh(tanh(b*x+a))^(5/2))","A"
123,1,42,30,0.142000," ","int(x*arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}}{b^{2}}"," ",0,"2/b^2*(1/7*arctanh(tanh(b*x+a))^(7/2)+1/5*(b*x-arctanh(tanh(b*x+a)))*arctanh(tanh(b*x+a))^(5/2))","A"
124,1,15,14,0.028000," ","int(arctanh(tanh(b*x+a))^(3/2),x)","\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5 b}"," ",0,"2/5*arctanh(tanh(b*x+a))^(5/2)/b","A"
125,1,131,79,0.143000," ","int(arctanh(tanh(b*x+a))^(3/2)/x,x)","\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}+2 a \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}"," ",0,"2/3*arctanh(tanh(b*x+a))^(3/2)+2*a*arctanh(tanh(b*x+a))^(1/2)+2*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)-2*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))","A"
126,1,85,71,0.152000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^2,x)","2 b \left(\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{2}+\frac{b x}{2}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b x}-\frac{3 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}\, \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{2}\right)"," ",0,"2*b*(arctanh(tanh(b*x+a))^(1/2)+(-1/2*arctanh(tanh(b*x+a))+1/2*b*x)*arctanh(tanh(b*x+a))^(1/2)/b/x-3/2*(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
127,1,91,76,0.148000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^3,x)","2 b^{2} \left(\frac{-\frac{5 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{8}+\left(\frac{3 \arctanh \left(\tanh \left(b x +a \right)\right)}{8}-\frac{3 b x}{8}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{2} x^{2}}-\frac{3 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{8 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b^2*((-5/8*arctanh(tanh(b*x+a))^(3/2)+(3/8*arctanh(tanh(b*x+a))-3/8*b*x)*arctanh(tanh(b*x+a))^(1/2))/b^2/x^2-3/8/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
128,1,116,122,0.151000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^4,x)","2 b^{3} \left(\frac{-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{16 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{6}+\left(\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{16}-\frac{b x}{16}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{3} x^{3}}+\frac{\arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{16 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{\frac{3}{2}}}\right)"," ",0,"2*b^3*((-1/16/(arctanh(tanh(b*x+a))-b*x)*arctanh(tanh(b*x+a))^(5/2)-1/6*arctanh(tanh(b*x+a))^(3/2)+(1/16*arctanh(tanh(b*x+a))-1/16*b*x)*arctanh(tanh(b*x+a))^(1/2))/b^3/x^3+1/16/(arctanh(tanh(b*x+a))-b*x)^(3/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
129,1,154,81,0.144000," ","int(x^4*arctanh(tanh(b*x+a))^(5/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{15}{2}}}{15}+\frac{2 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{13}{2}}}{13}+\frac{2 \left(2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}+\left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{11}{2}}}{11}+\frac{4 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}}{b^{5}}"," ",0,"2/b^5*(1/15*arctanh(tanh(b*x+a))^(15/2)+1/13*(-4*arctanh(tanh(b*x+a))+4*b*x)*arctanh(tanh(b*x+a))^(13/2)+1/11*(2*(b*x-arctanh(tanh(b*x+a)))^2+(-2*arctanh(tanh(b*x+a))+2*b*x)^2)*arctanh(tanh(b*x+a))^(11/2)+2/9*(b*x-arctanh(tanh(b*x+a)))^2*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(9/2)+1/7*(b*x-arctanh(tanh(b*x+a)))^4*arctanh(tanh(b*x+a))^(7/2))","A"
130,1,124,64,0.136000," ","int(x^3*arctanh(tanh(b*x+a))^(5/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{13}{2}}}{13}+\frac{2 \left(-3 \arctanh \left(\tanh \left(b x +a \right)\right)+3 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{11}{2}}}{11}+\frac{2 \left(\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)+\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}}{b^{4}}"," ",0,"2/b^4*(1/13*arctanh(tanh(b*x+a))^(13/2)+1/11*(-3*arctanh(tanh(b*x+a))+3*b*x)*arctanh(tanh(b*x+a))^(11/2)+1/9*((b*x-arctanh(tanh(b*x+a)))*(-2*arctanh(tanh(b*x+a))+2*b*x)+(b*x-arctanh(tanh(b*x+a)))^2)*arctanh(tanh(b*x+a))^(9/2)+1/7*(b*x-arctanh(tanh(b*x+a)))^3*arctanh(tanh(b*x+a))^(7/2))","A"
131,1,69,47,0.145000," ","int(x^2*arctanh(tanh(b*x+a))^(5/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{11}{2}}}{11}+\frac{2 \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}}{b^{3}}"," ",0,"2/b^3*(1/11*arctanh(tanh(b*x+a))^(11/2)+1/9*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(9/2)+1/7*(b*x-arctanh(tanh(b*x+a)))^2*arctanh(tanh(b*x+a))^(7/2))","A"
132,1,42,30,0.140000," ","int(x*arctanh(tanh(b*x+a))^(5/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}}{b^{2}}"," ",0,"2/b^2*(1/9*arctanh(tanh(b*x+a))^(9/2)+1/7*(b*x-arctanh(tanh(b*x+a)))*arctanh(tanh(b*x+a))^(7/2))","A"
133,1,15,14,0.027000," ","int(arctanh(tanh(b*x+a))^(5/2),x)","\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7 b}"," ",0,"2/7*arctanh(tanh(b*x+a))^(7/2)/b","A"
134,1,222,105,0.144000," ","int(arctanh(tanh(b*x+a))^(5/2)/x,x)","\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} a}{3}+\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{3}+2 a^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+4 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(a^{3}+3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right) \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}"," ",0,"2/5*arctanh(tanh(b*x+a))^(5/2)+2/3*arctanh(tanh(b*x+a))^(3/2)*a+2/3*arctanh(tanh(b*x+a))^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)+2*a^2*arctanh(tanh(b*x+a))^(1/2)+4*a*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)+2*(arctanh(tanh(b*x+a))-b*x-a)^2*arctanh(tanh(b*x+a))^(1/2)-2*(a^3+3*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3*a*(arctanh(tanh(b*x+a))-b*x-a)^2+(arctanh(tanh(b*x+a))-b*x-a)^3)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))","B"
135,1,193,96,0.155000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^2,x)","2 b \left(\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}+2 a \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\left(-\frac{a^{2}}{2}-a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{2}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b x}-\frac{5 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b*(1/3*arctanh(tanh(b*x+a))^(3/2)+2*a*arctanh(tanh(b*x+a))^(1/2)+2*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)+(-1/2*a^2-a*(arctanh(tanh(b*x+a))-b*x-a)-1/2*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2)/b/x-5/2*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
136,1,142,90,0.155000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^3,x)","2 b^{2} \left(\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\left(-\frac{9 \arctanh \left(\tanh \left(b x +a \right)\right)}{8}+\frac{9 b x}{8}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}+\left(\frac{7 a^{2}}{8}+\frac{7 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4}+\frac{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{8}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{2} x^{2}}-\frac{15 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}\, \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{8}\right)"," ",0,"2*b^2*(arctanh(tanh(b*x+a))^(1/2)+((-9/8*arctanh(tanh(b*x+a))+9/8*b*x)*arctanh(tanh(b*x+a))^(3/2)+(7/8*a^2+7/4*a*(arctanh(tanh(b*x+a))-b*x-a)+7/8*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2))/b^2/x^2-15/8*(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
137,1,144,93,0.148000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^4,x)","2 b^{3} \left(\frac{-\frac{11 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{16}+\left(\frac{5 \arctanh \left(\tanh \left(b x +a \right)\right)}{6}-\frac{5 b x}{6}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}+\left(-\frac{5 a^{2}}{16}-\frac{5 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{16}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{3} x^{3}}-\frac{5 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{16 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b^3*((-11/16*arctanh(tanh(b*x+a))^(5/2)+(5/6*arctanh(tanh(b*x+a))-5/6*b*x)*arctanh(tanh(b*x+a))^(3/2)+(-5/16*a^2-5/8*a*(arctanh(tanh(b*x+a))-b*x-a)-5/16*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2))/b^3/x^3-5/16/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
138,1,169,139,0.153000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^5,x)","2 b^{4} \left(\frac{-\frac{5 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{128 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}-\frac{73 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{384}+\left(\frac{55 \arctanh \left(\tanh \left(b x +a \right)\right)}{384}-\frac{55 b x}{384}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}+\left(-\frac{5 a^{2}}{128}-\frac{5 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{64}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{128}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{4} x^{4}}+\frac{5 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{128 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{\frac{3}{2}}}\right)"," ",0,"2*b^4*((-5/128/(arctanh(tanh(b*x+a))-b*x)*arctanh(tanh(b*x+a))^(7/2)-73/384*arctanh(tanh(b*x+a))^(5/2)+(55/384*arctanh(tanh(b*x+a))-55/384*b*x)*arctanh(tanh(b*x+a))^(3/2)+(-5/128*a^2-5/64*a*(arctanh(tanh(b*x+a))-b*x-a)-5/128*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2))/b^4/x^4+5/128/(arctanh(tanh(b*x+a))-b*x)^(3/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
139,1,262,185,0.182000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^6,x)","2 b^{5} \left(\frac{\frac{3 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{256 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right)}-\frac{7 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{128 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{10}+\left(\frac{7 \arctanh \left(\tanh \left(b x +a \right)\right)}{128}-\frac{7 b x}{128}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}+\left(-\frac{3 a^{2}}{256}-\frac{3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{128}-\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{256}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{5} x^{5}}-\frac{3 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{256 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b^5*((3/256/(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(9/2)-7/128/(arctanh(tanh(b*x+a))-b*x)*arctanh(tanh(b*x+a))^(7/2)-1/10*arctanh(tanh(b*x+a))^(5/2)+(7/128*arctanh(tanh(b*x+a))-7/128*b*x)*arctanh(tanh(b*x+a))^(3/2)+(-3/256*a^2-3/128*a*(arctanh(tanh(b*x+a))-b*x-a)-3/256*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2))/b^5/x^5-3/256/(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
140,1,153,81,0.166000," ","int(x^4/arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{9}{2}}}{9}+\frac{2 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}+\left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{4 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}+2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{5}}"," ",0,"2/b^5*(1/9*arctanh(tanh(b*x+a))^(9/2)+1/7*(-4*arctanh(tanh(b*x+a))+4*b*x)*arctanh(tanh(b*x+a))^(7/2)+1/5*(2*(b*x-arctanh(tanh(b*x+a)))^2+(-2*arctanh(tanh(b*x+a))+2*b*x)^2)*arctanh(tanh(b*x+a))^(5/2)+2/3*(b*x-arctanh(tanh(b*x+a)))^2*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(3/2)+(b*x-arctanh(tanh(b*x+a)))^4*arctanh(tanh(b*x+a))^(1/2))","A"
141,1,123,64,0.175000," ","int(x^3/arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}+\frac{2 \left(-3 \arctanh \left(\tanh \left(b x +a \right)\right)+3 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \left(\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right) \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)+\left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}+2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{4}}"," ",0,"2/b^4*(1/7*arctanh(tanh(b*x+a))^(7/2)+1/5*(-3*arctanh(tanh(b*x+a))+3*b*x)*arctanh(tanh(b*x+a))^(5/2)+1/3*((b*x-arctanh(tanh(b*x+a)))*(-2*arctanh(tanh(b*x+a))+2*b*x)+(b*x-arctanh(tanh(b*x+a)))^2)*arctanh(tanh(b*x+a))^(3/2)+(b*x-arctanh(tanh(b*x+a)))^3*arctanh(tanh(b*x+a))^(1/2))","A"
142,1,68,47,0.171000," ","int(x^2/arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}+\frac{2 \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}+2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{3}}"," ",0,"2/b^3*(1/5*arctanh(tanh(b*x+a))^(5/2)+1/3*(-2*arctanh(tanh(b*x+a))+2*b*x)*arctanh(tanh(b*x+a))^(3/2)+(b*x-arctanh(tanh(b*x+a)))^2*arctanh(tanh(b*x+a))^(1/2))","A"
143,1,56,30,0.166000," ","int(x/arctanh(tanh(b*x+a))^(1/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}-2 a \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{2}}"," ",0,"2/b^2*(1/3*arctanh(tanh(b*x+a))^(3/2)-a*arctanh(tanh(b*x+a))^(1/2)-(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2))","A"
144,1,15,14,0.029000," ","int(1/arctanh(tanh(b*x+a))^(1/2),x)","\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b}"," ",0,"2*arctanh(tanh(b*x+a))^(1/2)/b","A"
145,1,42,43,0.173000," ","int(1/x/arctanh(tanh(b*x+a))^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))","A"
146,1,95,84,0.172000," ","int(1/x^2/arctanh(tanh(b*x+a))^(1/2),x)","2 b \left(\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) b x}-\frac{2 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)"," ",0,"2*b*(2*arctanh(tanh(b*x+a))^(1/2)/(-4*arctanh(tanh(b*x+a))+4*b*x)/b/x-2/(-4*arctanh(tanh(b*x+a))+4*b*x)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))","A"
147,1,148,134,0.174000," ","int(1/x^3/arctanh(tanh(b*x+a))^(1/2),x)","2 b^{2} \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) b^{2} x^{2}}+\frac{\frac{6 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) b x}-\frac{6 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x}\right)"," ",0,"2*b^2*(arctanh(tanh(b*x+a))^(1/2)/(-4*arctanh(tanh(b*x+a))+4*b*x)/b^2/x^2+3/(-4*arctanh(tanh(b*x+a))+4*b*x)*(2*arctanh(tanh(b*x+a))^(1/2)/(-4*arctanh(tanh(b*x+a))+4*b*x)/b/x-2/(-4*arctanh(tanh(b*x+a))+4*b*x)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
148,1,200,180,0.181000," ","int(1/x^4/arctanh(tanh(b*x+a))^(1/2),x)","2 b^{3} \left(\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) b^{3} x^{3}}+\frac{\frac{10 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) b^{2} x^{2}}+\frac{10 \left(\frac{6 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) b x}-\frac{6 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{3 \left(-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x \right)}}{-4 \arctanh \left(\tanh \left(b x +a \right)\right)+4 b x}\right)"," ",0,"2*b^3*(2/3*arctanh(tanh(b*x+a))^(1/2)/(-4*arctanh(tanh(b*x+a))+4*b*x)/b^3/x^3+10/3/(-4*arctanh(tanh(b*x+a))+4*b*x)*(arctanh(tanh(b*x+a))^(1/2)/(-4*arctanh(tanh(b*x+a))+4*b*x)/b^2/x^2+3/(-4*arctanh(tanh(b*x+a))+4*b*x)*(2*arctanh(tanh(b*x+a))^(1/2)/(-4*arctanh(tanh(b*x+a))+4*b*x)/b/x-2/(-4*arctanh(tanh(b*x+a))+4*b*x)/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2)))))","A"
149,1,319,81,0.150000," ","int(x^4/arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7}-\frac{8 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}} a}{5}-\frac{8 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{5}+4 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} a^{2}+8 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+4 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}-8 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\, a^{3}-24 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-24 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-8 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(a^{4}+4 a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+6 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+4 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}}{b^{5}}"," ",0,"2/b^5*(1/7*arctanh(tanh(b*x+a))^(7/2)-4/5*arctanh(tanh(b*x+a))^(5/2)*a-4/5*arctanh(tanh(b*x+a))^(5/2)*(arctanh(tanh(b*x+a))-b*x-a)+2*arctanh(tanh(b*x+a))^(3/2)*a^2+4*arctanh(tanh(b*x+a))^(3/2)*a*(arctanh(tanh(b*x+a))-b*x-a)+2*arctanh(tanh(b*x+a))^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)^2-4*arctanh(tanh(b*x+a))^(1/2)*a^3-12*a^2*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)-12*a*(arctanh(tanh(b*x+a))-b*x-a)^2*arctanh(tanh(b*x+a))^(1/2)-4*(arctanh(tanh(b*x+a))-b*x-a)^3*arctanh(tanh(b*x+a))^(1/2)-(a^4+4*a^3*(arctanh(tanh(b*x+a))-b*x-a)+6*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2+4*a*(arctanh(tanh(b*x+a))-b*x-a)^3+(arctanh(tanh(b*x+a))-b*x-a)^4)/arctanh(tanh(b*x+a))^(1/2))","B"
150,1,201,64,0.149000," ","int(x^3/arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}-2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} a -2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+6 a^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+12 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+6 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(-a^{3}-3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)-3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}-\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}}{b^{4}}"," ",0,"2/b^4*(1/5*arctanh(tanh(b*x+a))^(5/2)-arctanh(tanh(b*x+a))^(3/2)*a-arctanh(tanh(b*x+a))^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)+3*a^2*arctanh(tanh(b*x+a))^(1/2)+6*a*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)+3*(arctanh(tanh(b*x+a))-b*x-a)^2*arctanh(tanh(b*x+a))^(1/2)-(-a^3-3*a^2*(arctanh(tanh(b*x+a))-b*x-a)-3*a*(arctanh(tanh(b*x+a))-b*x-a)^2-(arctanh(tanh(b*x+a))-b*x-a)^3)/arctanh(tanh(b*x+a))^(1/2))","B"
151,1,106,47,0.178000," ","int(x^2/arctanh(tanh(b*x+a))^(3/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}-4 a \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}}{b^{3}}"," ",0,"2/b^3*(1/3*arctanh(tanh(b*x+a))^(3/2)-2*a*arctanh(tanh(b*x+a))^(1/2)-2*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)-(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/arctanh(tanh(b*x+a))^(1/2))","B"
152,1,40,30,0.143000," ","int(x/arctanh(tanh(b*x+a))^(3/2),x)","\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}}{b^{2}}"," ",0,"2/b^2*(arctanh(tanh(b*x+a))^(1/2)-(b*x-arctanh(tanh(b*x+a)))/arctanh(tanh(b*x+a))^(1/2))","A"
153,1,15,14,0.030000," ","int(1/arctanh(tanh(b*x+a))^(3/2),x)","-\frac{2}{b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}"," ",0,"-2/b/arctanh(tanh(b*x+a))^(1/2)","A"
154,1,68,70,0.153000," ","int(1/x/arctanh(tanh(b*x+a))^(3/2),x)","\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{\frac{3}{2}}}"," ",0,"2/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(1/2)-2/(arctanh(tanh(b*x+a))-b*x)^(3/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))","A"
155,1,105,112,0.156000," ","int(1/x^2/arctanh(tanh(b*x+a))^(3/2),x)","2 b \left(-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{2 b x}-\frac{3 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}\right)"," ",0,"2*b*(-1/(arctanh(tanh(b*x+a))-b*x)^2/arctanh(tanh(b*x+a))^(1/2)-1/(arctanh(tanh(b*x+a))-b*x)^2*(1/2*arctanh(tanh(b*x+a))^(1/2)/b/x-3/2/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
156,1,131,163,0.155000," ","int(1/x^3/arctanh(tanh(b*x+a))^(3/2),x)","2 b^{2} \left(\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{\frac{\frac{7 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{8}+\left(-\frac{9 \arctanh \left(\tanh \left(b x +a \right)\right)}{8}+\frac{9 b x}{8}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{2} x^{2}}-\frac{15 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{8 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}\right)"," ",0,"2*b^2*(1/(arctanh(tanh(b*x+a))-b*x)^3/arctanh(tanh(b*x+a))^(1/2)+1/(arctanh(tanh(b*x+a))-b*x)^3*((7/8*arctanh(tanh(b*x+a))^(3/2)+(-9/8*arctanh(tanh(b*x+a))+9/8*b*x)*arctanh(tanh(b*x+a))^(1/2))/b^2/x^2-15/8/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
157,1,186,209,0.159000," ","int(1/x^4/arctanh(tanh(b*x+a))^(3/2),x)","2 b^{3} \left(-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{\frac{\frac{19 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{16}+\left(-\frac{17 \arctanh \left(\tanh \left(b x +a \right)\right)}{6}+\frac{17 b x}{6}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}+\left(\frac{29 a^{2}}{16}+\frac{29 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8}+\frac{29 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{16}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{3} x^{3}}-\frac{35 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{16 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4}}\right)"," ",0,"2*b^3*(-1/(arctanh(tanh(b*x+a))-b*x)^4/arctanh(tanh(b*x+a))^(1/2)-1/(arctanh(tanh(b*x+a))-b*x)^4*((19/16*arctanh(tanh(b*x+a))^(5/2)+(-17/6*arctanh(tanh(b*x+a))+17/6*b*x)*arctanh(tanh(b*x+a))^(3/2)+(29/16*a^2+29/8*a*(arctanh(tanh(b*x+a))-b*x-a)+29/16*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2))/b^3/x^3-35/16/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
158,1,295,81,0.153000," ","int(x^4/arctanh(tanh(b*x+a))^(5/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5}-\frac{8 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} a}{3}-\frac{8 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{3}+12 a^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+24 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+12 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(-4 a^{3}-12 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)-12 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}-4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 \left(a^{4}+4 a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+6 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+4 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}\right)}{3 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}}{b^{5}}"," ",0,"2/b^5*(1/5*arctanh(tanh(b*x+a))^(5/2)-4/3*arctanh(tanh(b*x+a))^(3/2)*a-4/3*arctanh(tanh(b*x+a))^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)+6*a^2*arctanh(tanh(b*x+a))^(1/2)+12*a*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)+6*(arctanh(tanh(b*x+a))-b*x-a)^2*arctanh(tanh(b*x+a))^(1/2)-(-4*a^3-12*a^2*(arctanh(tanh(b*x+a))-b*x-a)-12*a*(arctanh(tanh(b*x+a))-b*x-a)^2-4*(arctanh(tanh(b*x+a))-b*x-a)^3)/arctanh(tanh(b*x+a))^(1/2)-1/3*(a^4+4*a^3*(arctanh(tanh(b*x+a))-b*x-a)+6*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2+4*a*(arctanh(tanh(b*x+a))-b*x-a)^3+(arctanh(tanh(b*x+a))-b*x-a)^4)/arctanh(tanh(b*x+a))^(3/2))","B"
159,1,186,64,0.154000," ","int(x^3/arctanh(tanh(b*x+a))^(5/2),x)","\frac{\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3}-6 a \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-6 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(3 a^{2}+6 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 \left(-a^{3}-3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)-3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}-\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right)}{3 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}}{b^{4}}"," ",0,"2/b^4*(1/3*arctanh(tanh(b*x+a))^(3/2)-3*a*arctanh(tanh(b*x+a))^(1/2)-3*(arctanh(tanh(b*x+a))-b*x-a)*arctanh(tanh(b*x+a))^(1/2)-(3*a^2+6*a*(arctanh(tanh(b*x+a))-b*x-a)+3*(arctanh(tanh(b*x+a))-b*x-a)^2)/arctanh(tanh(b*x+a))^(1/2)-1/3*(-a^3-3*a^2*(arctanh(tanh(b*x+a))-b*x-a)-3*a*(arctanh(tanh(b*x+a))-b*x-a)^2-(arctanh(tanh(b*x+a))-b*x-a)^3)/arctanh(tanh(b*x+a))^(3/2))","B"
160,1,91,47,0.151000," ","int(x^2/arctanh(tanh(b*x+a))^(5/2),x)","\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \left(-2 \arctanh \left(\tanh \left(b x +a \right)\right)+2 b x \right)}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right)}{3 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}}{b^{3}}"," ",0,"2/b^3*(arctanh(tanh(b*x+a))^(1/2)-(-2*arctanh(tanh(b*x+a))+2*b*x)/arctanh(tanh(b*x+a))^(1/2)-1/3*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/arctanh(tanh(b*x+a))^(3/2))","A"
161,1,42,30,0.150000," ","int(x/arctanh(tanh(b*x+a))^(5/2),x)","\frac{-\frac{2}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 \left(b x -\arctanh \left(\tanh \left(b x +a \right)\right)\right)}{3 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}}{b^{2}}"," ",0,"2/b^2*(-1/arctanh(tanh(b*x+a))^(1/2)-1/3*(b*x-arctanh(tanh(b*x+a)))/arctanh(tanh(b*x+a))^(3/2))","A"
162,1,15,14,0.027000," ","int(1/arctanh(tanh(b*x+a))^(5/2),x)","-\frac{2}{3 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}"," ",0,"-2/3/b/arctanh(tanh(b*x+a))^(3/2)","A"
163,1,93,96,0.146000," ","int(1/x/arctanh(tanh(b*x+a))^(5/2),x)","\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{2}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{2 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{\frac{5}{2}}}"," ",0,"2/(arctanh(tanh(b*x+a))-b*x)^2/arctanh(tanh(b*x+a))^(1/2)+2/3/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(3/2)-2/(arctanh(tanh(b*x+a))-b*x)^(5/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))","A"
164,1,130,139,0.159000," ","int(1/x^2/arctanh(tanh(b*x+a))^(5/2),x)","2 b \left(-\frac{1}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{2 b x}-\frac{5 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}\right)"," ",0,"2*b*(-1/3/(arctanh(tanh(b*x+a))-b*x)^2/arctanh(tanh(b*x+a))^(3/2)-2/(arctanh(tanh(b*x+a))-b*x)^3/arctanh(tanh(b*x+a))^(1/2)-1/(arctanh(tanh(b*x+a))-b*x)^3*(1/2*arctanh(tanh(b*x+a))^(1/2)/b/x-5/2/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
165,1,157,192,0.152000," ","int(1/x^3/arctanh(tanh(b*x+a))^(5/2),x)","2 b^{2} \left(\frac{3}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{1}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{\frac{\frac{11 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{8}+\left(-\frac{13 \arctanh \left(\tanh \left(b x +a \right)\right)}{8}+\frac{13 b x}{8}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{2} x^{2}}-\frac{35 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{8 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4}}\right)"," ",0,"2*b^2*(3/(arctanh(tanh(b*x+a))-b*x)^4/arctanh(tanh(b*x+a))^(1/2)+1/3/(arctanh(tanh(b*x+a))-b*x)^3/arctanh(tanh(b*x+a))^(3/2)+1/(arctanh(tanh(b*x+a))-b*x)^4*((11/8*arctanh(tanh(b*x+a))^(3/2)+(-13/8*arctanh(tanh(b*x+a))+13/8*b*x)*arctanh(tanh(b*x+a))^(1/2))/b^2/x^2-35/8/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
166,1,211,238,0.157000," ","int(1/x^4/arctanh(tanh(b*x+a))^(5/2),x)","2 b^{3} \left(-\frac{1}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{4}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{\frac{\frac{41 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{16}+\left(-\frac{35 \arctanh \left(\tanh \left(b x +a \right)\right)}{6}+\frac{35 b x}{6}\right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}+\left(\frac{55 a^{2}}{16}+\frac{55 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8}+\frac{55 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{16}\right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b^{3} x^{3}}-\frac{105 \arctanh \left(\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}\right)}{16 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5}}\right)"," ",0,"2*b^3*(-1/3/(arctanh(tanh(b*x+a))-b*x)^4/arctanh(tanh(b*x+a))^(3/2)-4/(arctanh(tanh(b*x+a))-b*x)^5/arctanh(tanh(b*x+a))^(1/2)-1/(arctanh(tanh(b*x+a))-b*x)^5*((41/16*arctanh(tanh(b*x+a))^(5/2)+(-35/6*arctanh(tanh(b*x+a))+35/6*b*x)*arctanh(tanh(b*x+a))^(3/2)+(55/16*a^2+55/8*a*(arctanh(tanh(b*x+a))-b*x-a)+55/16*(arctanh(tanh(b*x+a))-b*x-a)^2)*arctanh(tanh(b*x+a))^(1/2))/b^3/x^3-105/16/(arctanh(tanh(b*x+a))-b*x)^(1/2)*arctanh(arctanh(tanh(b*x+a))^(1/2)/(arctanh(tanh(b*x+a))-b*x)^(1/2))))","A"
167,1,20,19,0.242000," ","int(x^(7/2)*arctanh(tanh(b*x+a)),x)","-\frac{4 b \,x^{\frac{11}{2}}}{99}+\frac{2 x^{\frac{9}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{9}"," ",0,"-4/99*b*x^(11/2)+2/9*x^(9/2)*arctanh(tanh(b*x+a))","A"
168,1,20,19,0.239000," ","int(x^(5/2)*arctanh(tanh(b*x+a)),x)","-\frac{4 b \,x^{\frac{9}{2}}}{63}+\frac{2 x^{\frac{7}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{7}"," ",0,"-4/63*b*x^(9/2)+2/7*x^(7/2)*arctanh(tanh(b*x+a))","A"
169,1,20,19,0.237000," ","int(x^(3/2)*arctanh(tanh(b*x+a)),x)","-\frac{4 b \,x^{\frac{7}{2}}}{35}+\frac{2 x^{\frac{5}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{5}"," ",0,"-4/35*b*x^(7/2)+2/5*x^(5/2)*arctanh(tanh(b*x+a))","A"
170,1,20,19,0.243000," ","int(arctanh(tanh(b*x+a))*x^(1/2),x)","-\frac{4 b \,x^{\frac{5}{2}}}{15}+\frac{2 x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{3}"," ",0,"-4/15*b*x^(5/2)+2/3*x^(3/2)*arctanh(tanh(b*x+a))","A"
171,1,20,19,0.238000," ","int(arctanh(tanh(b*x+a))/x^(1/2),x)","-\frac{4 b \,x^{\frac{3}{2}}}{3}+2 \arctanh \left(\tanh \left(b x +a \right)\right) \sqrt{x}"," ",0,"-4/3*b*x^(3/2)+2*arctanh(tanh(b*x+a))*x^(1/2)","A"
172,1,20,19,0.238000," ","int(arctanh(tanh(b*x+a))/x^(3/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)}{\sqrt{x}}+4 b \sqrt{x}"," ",0,"-2*arctanh(tanh(b*x+a))/x^(1/2)+4*b*x^(1/2)","A"
173,1,20,19,0.237000," ","int(arctanh(tanh(b*x+a))/x^(5/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)}{3 x^{\frac{3}{2}}}-\frac{4 b}{3 \sqrt{x}}"," ",0,"-2/3*arctanh(tanh(b*x+a))/x^(3/2)-4/3*b/x^(1/2)","A"
174,1,20,19,0.249000," ","int(arctanh(tanh(b*x+a))/x^(7/2),x)","-\frac{4 b}{15 x^{\frac{3}{2}}}-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)}{5 x^{\frac{5}{2}}}"," ",0,"-4/15*b/x^(3/2)-2/5*arctanh(tanh(b*x+a))/x^(5/2)","A"
175,1,38,36,0.281000," ","int(x^(7/2)*arctanh(tanh(b*x+a))^2,x)","\frac{2 x^{\frac{9}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{9}-\frac{8 b \left(\frac{x^{\frac{11}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{11}-\frac{2 x^{\frac{13}{2}} b}{143}\right)}{9}"," ",0,"2/9*x^(9/2)*arctanh(tanh(b*x+a))^2-8/9*b*(1/11*x^(11/2)*arctanh(tanh(b*x+a))-2/143*x^(13/2)*b)","A"
176,1,38,36,0.253000," ","int(x^(5/2)*arctanh(tanh(b*x+a))^2,x)","\frac{2 x^{\frac{7}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{7}-\frac{8 b \left(\frac{x^{\frac{9}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{9}-\frac{2 b \,x^{\frac{11}{2}}}{99}\right)}{7}"," ",0,"2/7*x^(7/2)*arctanh(tanh(b*x+a))^2-8/7*b*(1/9*x^(9/2)*arctanh(tanh(b*x+a))-2/99*b*x^(11/2))","A"
177,1,38,36,0.246000," ","int(x^(3/2)*arctanh(tanh(b*x+a))^2,x)","\frac{2 x^{\frac{5}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{5}-\frac{8 b \left(\frac{x^{\frac{7}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{7}-\frac{2 b \,x^{\frac{9}{2}}}{63}\right)}{5}"," ",0,"2/5*x^(5/2)*arctanh(tanh(b*x+a))^2-8/5*b*(1/7*x^(7/2)*arctanh(tanh(b*x+a))-2/63*b*x^(9/2))","A"
178,1,38,36,0.252000," ","int(arctanh(tanh(b*x+a))^2*x^(1/2),x)","\frac{2 x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3}-\frac{8 b \left(\frac{x^{\frac{5}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{5}-\frac{2 b \,x^{\frac{7}{2}}}{35}\right)}{3}"," ",0,"2/3*x^(3/2)*arctanh(tanh(b*x+a))^2-8/3*b*(1/5*x^(5/2)*arctanh(tanh(b*x+a))-2/35*b*x^(7/2))","A"
179,1,47,36,0.263000," ","int(arctanh(tanh(b*x+a))^2/x^(1/2),x)","\frac{2 b^{2} x^{\frac{5}{2}}}{5}+\frac{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b \,x^{\frac{3}{2}}}{3}+2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}"," ",0,"2/5*b^2*x^(5/2)+4/3*(arctanh(tanh(b*x+a))-b*x)*b*x^(3/2)+2*(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)","A"
180,1,37,36,0.246000," ","int(arctanh(tanh(b*x+a))^2/x^(3/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{\sqrt{x}}+8 b \left(\arctanh \left(\tanh \left(b x +a \right)\right) \sqrt{x}-\frac{2 b \,x^{\frac{3}{2}}}{3}\right)"," ",0,"-2*arctanh(tanh(b*x+a))^2/x^(1/2)+8*b*(arctanh(tanh(b*x+a))*x^(1/2)-2/3*b*x^(3/2))","A"
181,1,38,36,0.248000," ","int(arctanh(tanh(b*x+a))^2/x^(5/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3 x^{\frac{3}{2}}}+\frac{8 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{\sqrt{x}}+2 b \sqrt{x}\right)}{3}"," ",0,"-2/3*arctanh(tanh(b*x+a))^2/x^(3/2)+8/3*b*(-arctanh(tanh(b*x+a))/x^(1/2)+2*b*x^(1/2))","A"
182,1,38,36,0.247000," ","int(arctanh(tanh(b*x+a))^2/x^(7/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{5 x^{\frac{5}{2}}}+\frac{8 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{3 x^{\frac{3}{2}}}-\frac{2 b}{3 \sqrt{x}}\right)}{5}"," ",0,"-2/5*arctanh(tanh(b*x+a))^2/x^(5/2)+8/5*b*(-1/3*arctanh(tanh(b*x+a))/x^(3/2)-2/3*b/x^(1/2))","A"
183,1,56,53,0.293000," ","int(x^(7/2)*arctanh(tanh(b*x+a))^3,x)","\frac{2 x^{\frac{9}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{9}-\frac{4 b \left(\frac{x^{\frac{11}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{11}-\frac{4 b \left(\frac{x^{\frac{13}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{13}-\frac{2 x^{\frac{15}{2}} b}{195}\right)}{11}\right)}{3}"," ",0,"2/9*x^(9/2)*arctanh(tanh(b*x+a))^3-4/3*b*(1/11*x^(11/2)*arctanh(tanh(b*x+a))^2-4/11*b*(1/13*x^(13/2)*arctanh(tanh(b*x+a))-2/195*x^(15/2)*b))","A"
184,1,56,53,0.250000," ","int(x^(5/2)*arctanh(tanh(b*x+a))^3,x)","\frac{2 x^{\frac{7}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{7}-\frac{12 b \left(\frac{x^{\frac{9}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{9}-\frac{4 b \left(\frac{x^{\frac{11}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{11}-\frac{2 x^{\frac{13}{2}} b}{143}\right)}{9}\right)}{7}"," ",0,"2/7*x^(7/2)*arctanh(tanh(b*x+a))^3-12/7*b*(1/9*x^(9/2)*arctanh(tanh(b*x+a))^2-4/9*b*(1/11*x^(11/2)*arctanh(tanh(b*x+a))-2/143*x^(13/2)*b))","A"
185,1,56,53,0.253000," ","int(x^(3/2)*arctanh(tanh(b*x+a))^3,x)","\frac{2 x^{\frac{5}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{5}-\frac{12 b \left(\frac{x^{\frac{7}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{7}-\frac{4 b \left(\frac{x^{\frac{9}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{9}-\frac{2 b \,x^{\frac{11}{2}}}{99}\right)}{7}\right)}{5}"," ",0,"2/5*x^(5/2)*arctanh(tanh(b*x+a))^3-12/5*b*(1/7*x^(7/2)*arctanh(tanh(b*x+a))^2-4/7*b*(1/9*x^(9/2)*arctanh(tanh(b*x+a))-2/99*b*x^(11/2)))","A"
186,1,56,53,0.259000," ","int(arctanh(tanh(b*x+a))^3*x^(1/2),x)","\frac{2 x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3}-4 b \left(\frac{x^{\frac{5}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{5}-\frac{4 b \left(\frac{x^{\frac{7}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)}{7}-\frac{2 b \,x^{\frac{9}{2}}}{63}\right)}{5}\right)"," ",0,"2/3*x^(3/2)*arctanh(tanh(b*x+a))^3-4*b*(1/5*x^(5/2)*arctanh(tanh(b*x+a))^2-4/5*b*(1/7*x^(7/2)*arctanh(tanh(b*x+a))-2/63*b*x^(9/2)))","A"
187,1,69,53,0.250000," ","int(arctanh(tanh(b*x+a))^3/x^(1/2),x)","\frac{2 b^{3} x^{\frac{7}{2}}}{7}+\frac{6 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b^{2} x^{\frac{5}{2}}}{5}+2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} b \,x^{\frac{3}{2}}+2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{x}"," ",0,"2/7*b^3*x^(7/2)+6/5*(arctanh(tanh(b*x+a))-b*x)*b^2*x^(5/2)+2*(arctanh(tanh(b*x+a))-b*x)^2*b*x^(3/2)+2*(arctanh(tanh(b*x+a))-b*x)^3*x^(1/2)","A"
188,1,64,53,0.254000," ","int(arctanh(tanh(b*x+a))^3/x^(3/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{\sqrt{x}}+12 b \left(\frac{b^{2} x^{\frac{5}{2}}}{5}+\frac{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b \,x^{\frac{3}{2}}}{3}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}\right)"," ",0,"-2*arctanh(tanh(b*x+a))^3/x^(1/2)+12*b*(1/5*b^2*x^(5/2)+2/3*(arctanh(tanh(b*x+a))-b*x)*b*x^(3/2)+(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2))","A"
189,1,55,53,0.255000," ","int(arctanh(tanh(b*x+a))^3/x^(5/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{3 x^{\frac{3}{2}}}+4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{\sqrt{x}}+4 b \left(\arctanh \left(\tanh \left(b x +a \right)\right) \sqrt{x}-\frac{2 b \,x^{\frac{3}{2}}}{3}\right)\right)"," ",0,"-2/3*arctanh(tanh(b*x+a))^3/x^(3/2)+4*b*(-arctanh(tanh(b*x+a))^2/x^(1/2)+4*b*(arctanh(tanh(b*x+a))*x^(1/2)-2/3*b*x^(3/2)))","A"
190,1,56,53,0.260000," ","int(arctanh(tanh(b*x+a))^3/x^(7/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{3}}{5 x^{\frac{5}{2}}}+\frac{12 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{3 x^{\frac{3}{2}}}+\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)}{\sqrt{x}}+2 b \sqrt{x}\right)}{3}\right)}{5}"," ",0,"-2/5*arctanh(tanh(b*x+a))^3/x^(5/2)+12/5*b*(-1/3*arctanh(tanh(b*x+a))^2/x^(3/2)+4/3*b*(-arctanh(tanh(b*x+a))/x^(1/2)+2*b*x^(1/2)))","A"
191,1,481,119,0.267000," ","int(x^(7/2)/arctanh(tanh(b*x+a)),x)","\frac{2 x^{\frac{7}{2}}}{7 b}-\frac{2 x^{\frac{5}{2}} a}{5 b^{2}}-\frac{2 x^{\frac{5}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{5 b^{2}}+\frac{2 a^{2} x^{\frac{3}{2}}}{3 b^{3}}+\frac{4 x^{\frac{3}{2}} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{3 b^{3}}+\frac{2 x^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{3 b^{3}}-\frac{2 \sqrt{x}\, a^{3}}{b^{4}}-\frac{6 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{4}}-\frac{6 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}}{b^{4}}-\frac{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3} \sqrt{x}}{b^{4}}+\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{4}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{8 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{12 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{8 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/7*x^(7/2)/b-2/5/b^2*x^(5/2)*a-2/5/b^2*x^(5/2)*(arctanh(tanh(b*x+a))-b*x-a)+2/3/b^3*a^2*x^(3/2)+4/3/b^3*x^(3/2)*a*(arctanh(tanh(b*x+a))-b*x-a)+2/3/b^3*x^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)^2-2/b^4*x^(1/2)*a^3-6/b^4*a^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)-6/b^4*a*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)-2/b^4*(arctanh(tanh(b*x+a))-b*x-a)^3*x^(1/2)+2/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^4+8/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^3*(arctanh(tanh(b*x+a))-b*x-a)+12/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2+8/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a*(arctanh(tanh(b*x+a))-b*x-a)^3+2/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^4","B"
192,1,330,96,0.266000," ","int(x^(5/2)/arctanh(tanh(b*x+a)),x)","\frac{2 x^{\frac{5}{2}}}{5 b}-\frac{2 x^{\frac{3}{2}} a}{3 b^{2}}-\frac{2 x^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{3 b^{2}}+\frac{2 a^{2} \sqrt{x}}{b^{3}}+\frac{4 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{3}}+\frac{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}}{b^{3}}-\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{3}}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{6 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{6 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/5*x^(5/2)/b-2/3/b^2*x^(3/2)*a-2/3/b^2*x^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)+2/b^3*a^2*x^(1/2)+4/b^3*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)+2/b^3*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)-2/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^3-6/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^2*(arctanh(tanh(b*x+a))-b*x-a)-6/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a*(arctanh(tanh(b*x+a))-b*x-a)^2-2/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
193,1,207,73,0.267000," ","int(x^(3/2)/arctanh(tanh(b*x+a)),x)","\frac{2 x^{\frac{3}{2}}}{3 b}-\frac{2 a \sqrt{x}}{b^{2}}-\frac{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{2}}+\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{2}}{b^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{4 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/3*x^(3/2)/b-2/b^2*a*x^(1/2)-2/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)+2/b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^2+4/b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a*(arctanh(tanh(b*x+a))-b*x-a)+2/b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
194,1,112,52,0.289000," ","int(x^(1/2)/arctanh(tanh(b*x+a)),x)","\frac{2 \sqrt{x}}{b}-\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a}{b \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2*x^(1/2)/b-2/b/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a-2/b/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)","B"
195,1,41,43,0.261000," ","int(1/arctanh(tanh(b*x+a))/x^(1/2),x)","\frac{2 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
196,1,76,64,0.260000," ","int(1/x^(3/2)/arctanh(tanh(b*x+a)),x)","-\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}}-\frac{2 b \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)-2*b/(arctanh(tanh(b*x+a))-b*x)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
197,1,98,85,0.265000," ","int(1/x^(5/2)/arctanh(tanh(b*x+a)),x)","\frac{2 b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{2}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}+\frac{2 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}"," ",0,"2*b^2/(arctanh(tanh(b*x+a))-b*x)^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)+2/(arctanh(tanh(b*x+a))-b*x)^2*b/x^(1/2)","A"
198,1,120,108,0.265000," ","int(1/x^(7/2)/arctanh(tanh(b*x+a)),x)","-\frac{2}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}-\frac{2 b^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{x}}+\frac{2 b}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{3}{2}}}-\frac{2 b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)-2/(arctanh(tanh(b*x+a))-b*x)^3*b^2/x^(1/2)+2/3/(arctanh(tanh(b*x+a))-b*x)^2*b/x^(3/2)-2*b^3/(arctanh(tanh(b*x+a))-b*x)^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
199,1,452,113,0.270000," ","int(x^(7/2)/arctanh(tanh(b*x+a))^2,x)","\frac{2 x^{\frac{5}{2}}}{5 b^{2}}-\frac{4 x^{\frac{3}{2}} a}{3 b^{3}}-\frac{4 x^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{3 b^{3}}+\frac{6 a^{2} \sqrt{x}}{b^{4}}+\frac{12 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{4}}+\frac{6 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}}{b^{4}}+\frac{\sqrt{x}\, a^{3}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{3 \sqrt{x}\, a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{3 \sqrt{x}\, a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{7 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{3}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{21 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{21 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{7 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/5*x^(5/2)/b^2-4/3/b^3*x^(3/2)*a-4/3/b^3*x^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)+6/b^4*a^2*x^(1/2)+12/b^4*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)+6/b^4*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)+1/b^4*x^(1/2)/arctanh(tanh(b*x+a))*a^3+3/b^4*x^(1/2)/arctanh(tanh(b*x+a))*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3/b^4*x^(1/2)/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)^2+1/b^4*x^(1/2)/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^3-7/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^3-21/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^2*(arctanh(tanh(b*x+a))-b*x-a)-21/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a*(arctanh(tanh(b*x+a))-b*x-a)^2-7/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
200,1,294,90,0.266000," ","int(x^(5/2)/arctanh(tanh(b*x+a))^2,x)","\frac{2 x^{\frac{3}{2}}}{3 b^{2}}-\frac{4 a \sqrt{x}}{b^{3}}-\frac{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{3}}-\frac{\sqrt{x}\, a^{2}}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{2 \sqrt{x}\, a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{\sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{5 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{2}}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{10 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{5 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/3*x^(3/2)/b^2-4/b^3*a*x^(1/2)-4/b^3*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)-1/b^3*x^(1/2)/arctanh(tanh(b*x+a))*a^2-2/b^3*x^(1/2)/arctanh(tanh(b*x+a))*a*(arctanh(tanh(b*x+a))-b*x-a)-1/b^3*x^(1/2)/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)^2+5/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^2+10/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a*(arctanh(tanh(b*x+a))-b*x-a)+5/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
201,1,160,69,0.265000," ","int(x^(3/2)/arctanh(tanh(b*x+a))^2,x)","\frac{2 \sqrt{x}}{b^{2}}+\frac{\sqrt{x}\, a}{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{3 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a}{b^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{3 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2*x^(1/2)/b^2+1/b^2*x^(1/2)/arctanh(tanh(b*x+a))*a+1/b^2*x^(1/2)/arctanh(tanh(b*x+a))*(arctanh(tanh(b*x+a))-b*x-a)-3/b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a-3/b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)","B"
202,1,61,61,0.264000," ","int(x^(1/2)/arctanh(tanh(b*x+a))^2,x)","-\frac{\sqrt{x}}{b \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{b \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-x^(1/2)/b/arctanh(tanh(b*x+a))+1/b/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
203,1,82,83,0.269000," ","int(1/arctanh(tanh(b*x+a))^2/x^(1/2),x)","\frac{\sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))+1/(arctanh(tanh(b*x+a))-b*x)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
204,1,105,104,0.275000," ","int(1/x^(3/2)/arctanh(tanh(b*x+a))^2,x)","-\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}-\frac{b \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{3 b \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)^2/x^(1/2)-1/(arctanh(tanh(b*x+a))-b*x)^2*b*x^(1/2)/arctanh(tanh(b*x+a))-3/(arctanh(tanh(b*x+a))-b*x)^2*b/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
205,1,128,125,0.326000," ","int(1/x^(5/2)/arctanh(tanh(b*x+a))^2,x)","-\frac{2}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{3}{2}}}+\frac{4 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{x}}+\frac{b^{2} \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{5 b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)^2/x^(3/2)+4/(arctanh(tanh(b*x+a))-b*x)^3*b/x^(1/2)+1/(arctanh(tanh(b*x+a))-b*x)^3*b^2*x^(1/2)/arctanh(tanh(b*x+a))+5/(arctanh(tanh(b*x+a))-b*x)^3*b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
206,1,151,148,0.274000," ","int(1/x^(7/2)/arctanh(tanh(b*x+a))^2,x)","-\frac{2}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{5}{2}}}-\frac{6 b^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \sqrt{x}}+\frac{4 b}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} x^{\frac{3}{2}}}-\frac{b^{3} \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)}-\frac{7 b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)^2/x^(5/2)-6/(arctanh(tanh(b*x+a))-b*x)^4*b^2/x^(1/2)+4/3/(arctanh(tanh(b*x+a))-b*x)^3*b/x^(3/2)-1/(arctanh(tanh(b*x+a))-b*x)^4*b^3*x^(1/2)/arctanh(tanh(b*x+a))-7/(arctanh(tanh(b*x+a))-b*x)^4*b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
207,1,418,107,0.269000," ","int(x^(7/2)/arctanh(tanh(b*x+a))^3,x)","\frac{2 x^{\frac{3}{2}}}{3 b^{3}}-\frac{6 a \sqrt{x}}{b^{4}}-\frac{6 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{4}}-\frac{13 a^{2} x^{\frac{3}{2}}}{4 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{13 x^{\frac{3}{2}} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{13 x^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{11 \sqrt{x}\, a^{3}}{4 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{33 \sqrt{x}\, a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{33 \sqrt{x}\, a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{11 \sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{4 b^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{35 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a^{2}}{4 b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{35 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}+\frac{35 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 b^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2/3*x^(3/2)/b^3-6/b^4*a*x^(1/2)-6/b^4*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)-13/4/b^3/arctanh(tanh(b*x+a))^2*a^2*x^(3/2)-13/2/b^3/arctanh(tanh(b*x+a))^2*x^(3/2)*a*(arctanh(tanh(b*x+a))-b*x-a)-13/4/b^3/arctanh(tanh(b*x+a))^2*x^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)^2-11/4/b^4/arctanh(tanh(b*x+a))^2*x^(1/2)*a^3-33/4/b^4/arctanh(tanh(b*x+a))^2*x^(1/2)*a^2*(arctanh(tanh(b*x+a))-b*x-a)-33/4/b^4/arctanh(tanh(b*x+a))^2*x^(1/2)*a*(arctanh(tanh(b*x+a))-b*x-a)^2-11/4/b^4/arctanh(tanh(b*x+a))^2*x^(1/2)*(arctanh(tanh(b*x+a))-b*x-a)^3+35/4/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a^2+35/2/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a*(arctanh(tanh(b*x+a))-b*x-a)+35/4/b^4/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
208,1,249,86,0.264000," ","int(x^(5/2)/arctanh(tanh(b*x+a))^3,x)","\frac{2 \sqrt{x}}{b^{3}}+\frac{9 x^{\frac{3}{2}} a}{4 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{9 x^{\frac{3}{2}} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{7 a^{2} \sqrt{x}}{4 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{7 \sqrt{x}\, a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{7 \sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{15 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) a}{4 b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{15 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 b^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2*x^(1/2)/b^3+9/4/b^2/arctanh(tanh(b*x+a))^2*x^(3/2)*a+9/4/b^2/arctanh(tanh(b*x+a))^2*x^(3/2)*(arctanh(tanh(b*x+a))-b*x-a)+7/4/b^3/arctanh(tanh(b*x+a))^2*a^2*x^(1/2)+7/2/b^3/arctanh(tanh(b*x+a))^2*x^(1/2)*a*(arctanh(tanh(b*x+a))-b*x-a)+7/4/b^3/arctanh(tanh(b*x+a))^2*x^(1/2)*(arctanh(tanh(b*x+a))-b*x-a)^2-15/4/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*a-15/4/b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)","B"
209,1,85,78,0.269000," ","int(x^(3/2)/arctanh(tanh(b*x+a))^3,x)","\frac{-\frac{5 x^{\frac{3}{2}}}{4 b}-\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}}{4 b^{2}}}{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{3 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{4 b^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2*(-5/8*x^(3/2)/b-3/8*(arctanh(tanh(b*x+a))-b*x)/b^2*x^(1/2))/arctanh(tanh(b*x+a))^2+3/4/b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
210,1,98,101,0.268000," ","int(x^(1/2)/arctanh(tanh(b*x+a))^3,x)","\frac{\frac{2 x^{\frac{3}{2}}}{8 \arctanh \left(\tanh \left(b x +a \right)\right)-8 b x}-\frac{\sqrt{x}}{4 b}}{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{\arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"2*(1/8/(arctanh(tanh(b*x+a))-b*x)*x^(3/2)-1/8*x^(1/2)/b)/arctanh(tanh(b*x+a))^2+1/4/(arctanh(tanh(b*x+a))-b*x)/b/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
211,1,112,124,0.267000," ","int(1/arctanh(tanh(b*x+a))^3/x^(1/2),x)","\frac{\sqrt{x}}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{3 \sqrt{x}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{3 \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"1/2*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^2+3/4/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))+3/4/(arctanh(tanh(b*x+a))-b*x)^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
212,1,181,144,0.278000," ","int(1/x^(3/2)/arctanh(tanh(b*x+a))^3,x)","-\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{x}}-\frac{7 b^{2} x^{\frac{3}{2}}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{9 b a \sqrt{x}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{9 b \sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{15 b \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)^3/x^(1/2)-7/4/(arctanh(tanh(b*x+a))-b*x)^3*b^2/arctanh(tanh(b*x+a))^2*x^(3/2)-9/4/(arctanh(tanh(b*x+a))-b*x)^3*b/arctanh(tanh(b*x+a))^2*a*x^(1/2)-9/4/(arctanh(tanh(b*x+a))-b*x)^3*b/arctanh(tanh(b*x+a))^2*x^(1/2)*(arctanh(tanh(b*x+a))-b*x-a)-15/4/(arctanh(tanh(b*x+a))-b*x)^3*b/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
213,1,207,165,0.286000," ","int(1/x^(5/2)/arctanh(tanh(b*x+a))^3,x)","-\frac{2}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} x^{\frac{3}{2}}}+\frac{6 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \sqrt{x}}+\frac{11 b^{3} x^{\frac{3}{2}}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{13 b^{2} a \sqrt{x}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{13 b^{2} \sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}+\frac{35 b^{2} \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)^3/x^(3/2)+6/(arctanh(tanh(b*x+a))-b*x)^4*b/x^(1/2)+11/4/(arctanh(tanh(b*x+a))-b*x)^4*b^3/arctanh(tanh(b*x+a))^2*x^(3/2)+13/4/(arctanh(tanh(b*x+a))-b*x)^4*b^2/arctanh(tanh(b*x+a))^2*a*x^(1/2)+13/4/(arctanh(tanh(b*x+a))-b*x)^4*b^2/arctanh(tanh(b*x+a))^2*x^(1/2)*(arctanh(tanh(b*x+a))-b*x-a)+35/4/(arctanh(tanh(b*x+a))-b*x)^4*b^2/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))","A"
214,1,229,188,0.326000," ","int(1/x^(7/2)/arctanh(tanh(b*x+a))^3,x)","-\frac{15 b^{4} x^{\frac{3}{2}}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{17 b^{3} a \sqrt{x}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{17 b^{3} \sqrt{x}\, \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5} \arctanh \left(\tanh \left(b x +a \right)\right)^{2}}-\frac{63 b^{3} \arctan \left(\frac{b \sqrt{x}}{\sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}\right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5} \sqrt{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) b}}-\frac{2}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} x^{\frac{5}{2}}}-\frac{12 b^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{5} \sqrt{x}}+\frac{2 b}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{4} x^{\frac{3}{2}}}"," ",0,"-15/4/(arctanh(tanh(b*x+a))-b*x)^5*b^4/arctanh(tanh(b*x+a))^2*x^(3/2)-17/4/(arctanh(tanh(b*x+a))-b*x)^5*b^3/arctanh(tanh(b*x+a))^2*a*x^(1/2)-17/4/(arctanh(tanh(b*x+a))-b*x)^5*b^3/arctanh(tanh(b*x+a))^2*x^(1/2)*(arctanh(tanh(b*x+a))-b*x-a)-63/4/(arctanh(tanh(b*x+a))-b*x)^5*b^3/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2)*arctan(b*x^(1/2)/((arctanh(tanh(b*x+a))-b*x)*b)^(1/2))-2/5/(arctanh(tanh(b*x+a))-b*x)^3/x^(5/2)-12/(arctanh(tanh(b*x+a))-b*x)^5*b^2/x^(1/2)+2/(arctanh(tanh(b*x+a))-b*x)^4*b/x^(3/2)","A"
215,1,304,114,0.288000," ","int(x^(3/2)*arctanh(tanh(b*x+a))^(1/2),x)","\frac{x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 b}-\frac{a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{4 b^{2}}+\frac{a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8 b^{2}}+\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{8 b^{\frac{5}{2}}}+\frac{3 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8 b^{\frac{5}{2}}}+\frac{a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b^{2}}+\frac{3 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{8 b^{\frac{5}{2}}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{4 b^{2}}+\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8 b^{2}}+\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{8 b^{\frac{5}{2}}}"," ",0,"1/3*x^(3/2)*arctanh(tanh(b*x+a))^(3/2)/b-1/4/b^2*a*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+1/8/b^2*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+1/8/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3+3/8/b^(5/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+1/4/b^2*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/8/b^(5/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2-1/4/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+1/8/b^2*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+1/8/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
216,1,174,82,0.266000," ","int(x^(1/2)*arctanh(tanh(b*x+a))^(1/2),x)","\frac{\sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{2 b}-\frac{a \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b}-\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{2}}{4 b^{\frac{3}{2}}}-\frac{a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{\frac{3}{2}}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b}-\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 b^{\frac{3}{2}}}"," ",0,"1/2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)/b-1/4/b*a*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-1/4/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^2-1/2/b^(3/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)-1/4/b*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-1/4/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
217,1,75,49,0.272000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^(1/2),x)","\sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}+\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a}{\sqrt{b}}+\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{\sqrt{b}}"," ",0,"x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+1/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a+1/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)","A"
218,1,149,37,0.263000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^(3/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}}+\frac{2 b \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{2 \sqrt{b}\, \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{2 \sqrt{b}\, \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+2*b/(arctanh(tanh(b*x+a))-b*x)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+2*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a+2*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)","B"
219,1,29,29,0.268000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^(5/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)*arctanh(tanh(b*x+a))^(3/2)","A"
220,1,59,60,0.274000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^(7/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}+\frac{4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{3}{2}}}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(3/2)+4/15*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(3/2)*arctanh(tanh(b*x+a))^(3/2)","A"
221,1,105,92,0.280000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^(9/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}-\frac{8 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}+\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{3}{2}}}\right)}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(3/2)-8/7*b/(arctanh(tanh(b*x+a))-b*x)*(-1/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(3/2)+2/15*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(3/2)*arctanh(tanh(b*x+a))^(3/2))","A"
222,1,151,124,0.302000," ","int(arctanh(tanh(b*x+a))^(1/2)/x^(11/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{9}{2}}}-\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}-\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}+\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{3}{2}}}\right)}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}\right)}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/9/(arctanh(tanh(b*x+a))-b*x)/x^(9/2)*arctanh(tanh(b*x+a))^(3/2)-4/3*b/(arctanh(tanh(b*x+a))-b*x)*(-1/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(3/2)-4/7*b/(arctanh(tanh(b*x+a))-b*x)*(-1/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(3/2)+2/15*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(3/2)*arctanh(tanh(b*x+a))^(3/2)))","A"
223,1,471,143,0.242000," ","int(x^(3/2)*arctanh(tanh(b*x+a))^(3/2),x)","\frac{x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{4 b}-\frac{a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{8 b^{2}}+\frac{a^{2} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{32 b^{2}}+\frac{3 a^{3} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b^{2}}+\frac{3 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{4}}{64 b^{\frac{5}{2}}}+\frac{3 a^{3} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{16 b^{\frac{5}{2}}}+\frac{9 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b^{2}}+\frac{9 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{32 b^{\frac{5}{2}}}+\frac{a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{16 b^{2}}+\frac{9 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b^{2}}+\frac{3 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{16 b^{\frac{5}{2}}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{8 b^{2}}+\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{32 b^{2}}+\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b^{2}}+\frac{3 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{64 b^{\frac{5}{2}}}"," ",0,"1/4*x^(3/2)*arctanh(tanh(b*x+a))^(5/2)/b-1/8/b^2*a*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+1/32/b^2*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+3/64/b^2*a^3*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/64/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^4+3/16/b^(5/2)*a^3*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+9/64/b^2*a^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+9/32/b^(5/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2+1/16/b^2*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+9/64/b^2*a*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/16/b^(5/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3-1/8/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+1/32/b^2*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+3/64/b^2*(arctanh(tanh(b*x+a))-b*x-a)^3*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/64/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^4","B"
224,1,304,111,0.240000," ","int(x^(1/2)*arctanh(tanh(b*x+a))^(3/2),x)","\frac{\sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{3 b}-\frac{a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{12 b}-\frac{a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8 b}-\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{8 b^{\frac{3}{2}}}-\frac{3 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8 b^{\frac{3}{2}}}-\frac{a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b}-\frac{3 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{8 b^{\frac{3}{2}}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{12 b}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8 b}-\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{8 b^{\frac{3}{2}}}"," ",0,"1/3*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)/b-1/12/b*a*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)-1/8/b*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-1/8/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3-3/8/b^(3/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)-1/4/b*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-3/8/b^(3/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2-1/12/b*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)-1/8/b*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-1/8/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
225,1,165,79,0.244000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(1/2),x)","\frac{\sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{2}+\frac{3 a \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4}+\frac{3 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{2}}{4 \sqrt{b}}+\frac{3 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 \sqrt{b}}+\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4}+\frac{3 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 \sqrt{b}}"," ",0,"1/2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+3/4*a*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/4/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^2+3/2*a/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+3/4*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/4/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
226,1,280,65,0.241000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(3/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}}+\frac{2 b \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{3 b a \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{3 \sqrt{b}\, \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{2}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{6 \sqrt{b}\, a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{3 b \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{3 \sqrt{b}\, \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+2*b/(arctanh(tanh(b*x+a))-b*x)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+3*b/(arctanh(tanh(b*x+a))-b*x)*a*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^2+6*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+3*b/(arctanh(tanh(b*x+a))-b*x)*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
227,1,315,52,0.240000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(5/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}-\frac{4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}+\frac{4 b^{2} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{2 b^{2} a \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{2 b^{\frac{3}{2}} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{4 b^{\frac{3}{2}} a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{2 b^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{2 b^{\frac{3}{2}} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)*arctanh(tanh(b*x+a))^(5/2)-4/3*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+4/3*b^2/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+2*b^2/(arctanh(tanh(b*x+a))-b*x)^2*a*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+2*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^2+4*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+2*b^2/(arctanh(tanh(b*x+a))-b*x)^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+2*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
228,1,29,29,0.256000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(7/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(5/2)","A"
229,1,59,60,0.251000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(9/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}+\frac{4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{5}{2}}}"," ",0,"-2/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(5/2)+4/35*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(5/2)*arctanh(tanh(b*x+a))^(5/2)","A"
230,1,105,92,0.270000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(11/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{9}{2}}}-\frac{8 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}+\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{5}{2}}}\right)}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/9/(arctanh(tanh(b*x+a))-b*x)/x^(9/2)*arctanh(tanh(b*x+a))^(5/2)-8/9*b/(arctanh(tanh(b*x+a))-b*x)*(-1/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(5/2)+2/35*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(5/2)*arctanh(tanh(b*x+a))^(5/2))","A"
231,1,151,124,0.389000," ","int(arctanh(tanh(b*x+a))^(3/2)/x^(13/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{11 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{11}{2}}}-\frac{12 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{9}{2}}}-\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}+\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{5}{2}}}\right)}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}\right)}{11 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/11/(arctanh(tanh(b*x+a))-b*x)/x^(11/2)*arctanh(tanh(b*x+a))^(5/2)-12/11*b/(arctanh(tanh(b*x+a))-b*x)*(-1/9/(arctanh(tanh(b*x+a))-b*x)/x^(9/2)*arctanh(tanh(b*x+a))^(5/2)-4/9*b/(arctanh(tanh(b*x+a))-b*x)*(-1/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(5/2)+2/35*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(5/2)*arctanh(tanh(b*x+a))^(5/2)))","A"
232,1,471,140,0.242000," ","int(x^(1/2)*arctanh(tanh(b*x+a))^(5/2),x)","\frac{\sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{4 b}-\frac{a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{24 b}-\frac{5 a^{2} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{96 b}-\frac{5 a^{3} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b}-\frac{5 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{4}}{64 b^{\frac{3}{2}}}-\frac{5 a^{3} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{16 b^{\frac{3}{2}}}-\frac{15 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b}-\frac{15 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{32 b^{\frac{3}{2}}}-\frac{5 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{48 b}-\frac{15 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b}-\frac{5 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{16 b^{\frac{3}{2}}}-\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{24 b}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{96 b}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{64 b}-\frac{5 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{64 b^{\frac{3}{2}}}"," ",0,"1/4*x^(1/2)*arctanh(tanh(b*x+a))^(7/2)/b-1/24/b*a*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)-5/96/b*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)-5/64/b*a^3*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-5/64/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^4-5/16/b^(3/2)*a^3*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)-15/64/b*a^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-15/32/b^(3/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2-5/48/b*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)-15/64/b*a*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-5/16/b^(3/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3-1/24/b*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)-5/96/b*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)-5/64/b*(arctanh(tanh(b*x+a))-b*x-a)^3*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-5/64/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^4","B"
233,1,286,108,0.244000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(1/2),x)","\frac{\sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{3}+\frac{5 a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{12}+\frac{5 a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8}+\frac{5 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{8 \sqrt{b}}+\frac{15 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8 \sqrt{b}}+\frac{5 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4}+\frac{15 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{8 \sqrt{b}}+\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{12}+\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8}+\frac{5 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{8 \sqrt{b}}"," ",0,"1/3*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+5/12*a*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+5/8*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+5/8/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3+15/8*a^2/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+5/4*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+15/8*a/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2+5/12*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+5/8*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+5/8/b^(1/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
234,1,460,95,0.247000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(3/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}}+\frac{2 b \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}+\frac{5 b a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{15 b \,a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{15 \sqrt{b}\, \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{45 \sqrt{b}\, a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{15 b a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{45 \sqrt{b}\, a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{5 b \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{2 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{15 b \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}+\frac{15 \sqrt{b}\, \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{4 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)*arctanh(tanh(b*x+a))^(7/2)+2*b/(arctanh(tanh(b*x+a))-b*x)*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+5/2*b/(arctanh(tanh(b*x+a))-b*x)*a*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+15/4*b/(arctanh(tanh(b*x+a))-b*x)*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+15/4*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3+45/4*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+15/2*b/(arctanh(tanh(b*x+a))-b*x)*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+45/4*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2+5/2*b/(arctanh(tanh(b*x+a))-b*x)*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+15/4*b/(arctanh(tanh(b*x+a))-b*x)*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+15/4*b^(1/2)/(arctanh(tanh(b*x+a))-b*x)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
235,1,501,82,0.248000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(5/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}-\frac{8 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}+\frac{8 b^{2} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{10 b^{2} a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{5 b^{2} a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{15 b^{\frac{3}{2}} a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{10 b^{2} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{15 b^{\frac{3}{2}} a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{10 b^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{5 b^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}+\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2}}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)*arctanh(tanh(b*x+a))^(7/2)-8/3*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(1/2)*arctanh(tanh(b*x+a))^(7/2)+8/3*b^2/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+10/3*b^2/(arctanh(tanh(b*x+a))-b*x)^2*a*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+5*b^2/(arctanh(tanh(b*x+a))-b*x)^2*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+5*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3+15*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+10*b^2/(arctanh(tanh(b*x+a))-b*x)^2*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+15*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2+10/3*b^2/(arctanh(tanh(b*x+a))-b*x)^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+5*b^2/(arctanh(tanh(b*x+a))-b*x)^2*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+5*b^(3/2)/(arctanh(tanh(b*x+a))-b*x)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
236,1,532,69,0.250000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(7/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}-\frac{4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{3}{2}}}-\frac{16 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3} \sqrt{x}}+\frac{16 b^{3} \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{5}{2}}}{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{4 b^{3} a \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{2 b^{3} a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{2 b^{\frac{5}{2}} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{6 b^{\frac{5}{2}} a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{4 b^{3} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{6 b^{\frac{5}{2}} a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{4 b^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{2 b^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}+\frac{2 b^{\frac{5}{2}} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{3}}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(7/2)-4/15*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(3/2)*arctanh(tanh(b*x+a))^(7/2)-16/15*b^2/(arctanh(tanh(b*x+a))-b*x)^3/x^(1/2)*arctanh(tanh(b*x+a))^(7/2)+16/15*b^3/(arctanh(tanh(b*x+a))-b*x)^3*x^(1/2)*arctanh(tanh(b*x+a))^(5/2)+4/3*b^3/(arctanh(tanh(b*x+a))-b*x)^3*a*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+2*b^3/(arctanh(tanh(b*x+a))-b*x)^3*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+2*b^(5/2)/(arctanh(tanh(b*x+a))-b*x)^3*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3+6*b^(5/2)/(arctanh(tanh(b*x+a))-b*x)^3*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+4*b^3/(arctanh(tanh(b*x+a))-b*x)^3*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+6*b^(5/2)/(arctanh(tanh(b*x+a))-b*x)^3*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2+4/3*b^3/(arctanh(tanh(b*x+a))-b*x)^3*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(3/2)+2*b^3/(arctanh(tanh(b*x+a))-b*x)^3*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+2*b^(5/2)/(arctanh(tanh(b*x+a))-b*x)^3*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
237,1,29,29,0.251000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(9/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}"," ",0,"-2/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(7/2)","A"
238,1,59,60,0.264000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(11/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{9}{2}}}+\frac{4 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{63 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{7}{2}}}"," ",0,"-2/9/(arctanh(tanh(b*x+a))-b*x)/x^(9/2)*arctanh(tanh(b*x+a))^(7/2)+4/63*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(7/2)*arctanh(tanh(b*x+a))^(7/2)","A"
239,1,105,92,0.304000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(13/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{11 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{11}{2}}}-\frac{8 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{9}{2}}}+\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{63 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{7}{2}}}\right)}{11 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/11/(arctanh(tanh(b*x+a))-b*x)/x^(11/2)*arctanh(tanh(b*x+a))^(7/2)-8/11*b/(arctanh(tanh(b*x+a))-b*x)*(-1/9/(arctanh(tanh(b*x+a))-b*x)/x^(9/2)*arctanh(tanh(b*x+a))^(7/2)+2/63*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(7/2)*arctanh(tanh(b*x+a))^(7/2))","A"
240,1,151,124,0.388000," ","int(arctanh(tanh(b*x+a))^(5/2)/x^(15/2),x)","-\frac{2 \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{13 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{13}{2}}}-\frac{12 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{11 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{11}{2}}}-\frac{4 b \left(-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{9 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{9}{2}}}+\frac{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{7}{2}}}{63 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} x^{\frac{7}{2}}}\right)}{11 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}\right)}{13 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/13/(arctanh(tanh(b*x+a))-b*x)/x^(13/2)*arctanh(tanh(b*x+a))^(7/2)-12/13*b/(arctanh(tanh(b*x+a))-b*x)*(-1/11/(arctanh(tanh(b*x+a))-b*x)/x^(11/2)*arctanh(tanh(b*x+a))^(7/2)-4/11*b/(arctanh(tanh(b*x+a))-b*x)*(-1/9/(arctanh(tanh(b*x+a))-b*x)/x^(9/2)*arctanh(tanh(b*x+a))^(7/2)+2/63*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(7/2)*arctanh(tanh(b*x+a))^(7/2)))","A"
241,1,304,117,0.298000," ","int(x^(5/2)/arctanh(tanh(b*x+a))^(1/2),x)","\frac{x^{\frac{5}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 b}-\frac{5 a \,x^{\frac{3}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{12 b^{2}}+\frac{5 a^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8 b^{3}}-\frac{5 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{3}}{8 b^{\frac{7}{2}}}-\frac{15 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{8 b^{\frac{7}{2}}}+\frac{5 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b^{3}}-\frac{15 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{8 b^{\frac{7}{2}}}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{3}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{12 b^{2}}+\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{8 b^{3}}-\frac{5 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{8 b^{\frac{7}{2}}}"," ",0,"1/3*x^(5/2)*arctanh(tanh(b*x+a))^(1/2)/b-5/12/b^2*a*x^(3/2)*arctanh(tanh(b*x+a))^(1/2)+5/8/b^3*a^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-5/8/b^(7/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^3-15/8/b^(7/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)+5/4/b^3*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-15/8/b^(7/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2-5/12/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(3/2)*arctanh(tanh(b*x+a))^(1/2)+5/8/b^3*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)-5/8/b^(7/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^3","B"
242,1,174,85,0.302000," ","int(x^(3/2)/arctanh(tanh(b*x+a))^(1/2),x)","\frac{x^{\frac{3}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{2 b}-\frac{3 a \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b^{2}}+\frac{3 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a^{2}}{4 b^{\frac{5}{2}}}+\frac{3 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{2 b^{\frac{5}{2}}}-\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{4 b^{2}}+\frac{3 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{4 b^{\frac{5}{2}}}"," ",0,"1/2*x^(3/2)*arctanh(tanh(b*x+a))^(1/2)/b-3/4/b^2*a*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/4/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a^2+3/2/b^(5/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)-3/4/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)*arctanh(tanh(b*x+a))^(1/2)+3/4/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
243,1,80,51,0.293000," ","int(x^(1/2)/arctanh(tanh(b*x+a))^(1/2),x)","\frac{\sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{b}-\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) a}{b^{\frac{3}{2}}}-\frac{\ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right) \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{\frac{3}{2}}}"," ",0,"x^(1/2)*arctanh(tanh(b*x+a))^(1/2)/b-1/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*a-1/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))*(arctanh(tanh(b*x+a))-b*x-a)","A"
244,1,24,22,0.332000," ","int(1/x^(1/2)/arctanh(tanh(b*x+a))^(1/2),x)","\frac{2 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{\sqrt{b}}"," ",0,"2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))/b^(1/2)","A"
245,1,29,29,0.303000," ","int(1/x^(3/2)/arctanh(tanh(b*x+a))^(1/2),x)","-\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)*arctanh(tanh(b*x+a))^(1/2)","A"
246,1,59,60,0.300000," ","int(1/x^(5/2)/arctanh(tanh(b*x+a))^(1/2),x)","-\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}+\frac{4 b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)*arctanh(tanh(b*x+a))^(1/2)+4/3*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(1/2)*arctanh(tanh(b*x+a))^(1/2)","A"
247,1,105,92,0.301000," ","int(1/x^(7/2)/arctanh(tanh(b*x+a))^(1/2),x)","-\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}-\frac{8 b \left(-\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}+\frac{2 b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}\right)}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(1/2)-8/5*b/(arctanh(tanh(b*x+a))-b*x)*(-1/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)*arctanh(tanh(b*x+a))^(1/2)+2/3*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(1/2)*arctanh(tanh(b*x+a))^(1/2))","A"
248,1,151,124,0.296000," ","int(1/x^(9/2)/arctanh(tanh(b*x+a))^(1/2),x)","-\frac{2 \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{7}{2}}}-\frac{12 b \left(-\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}}}-\frac{4 b \left(-\frac{\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}}}+\frac{2 b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{x}}\right)}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}\right)}{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/7/(arctanh(tanh(b*x+a))-b*x)/x^(7/2)*arctanh(tanh(b*x+a))^(1/2)-12/7*b/(arctanh(tanh(b*x+a))-b*x)*(-1/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)*arctanh(tanh(b*x+a))^(1/2)-4/5*b/(arctanh(tanh(b*x+a))-b*x)*(-1/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)*arctanh(tanh(b*x+a))^(1/2)+2/3*b/(arctanh(tanh(b*x+a))-b*x)^2/x^(1/2)*arctanh(tanh(b*x+a))^(1/2)))","A"
249,1,428,134,0.250000," ","int(x^(7/2)/arctanh(tanh(b*x+a))^(3/2),x)","\frac{x^{\frac{7}{2}}}{3 b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{7 a \,x^{\frac{5}{2}}}{12 b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 a^{2} x^{\frac{3}{2}}}{24 b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 a^{3} \sqrt{x}}{8 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{35 a^{3} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{8 b^{\frac{9}{2}}}+\frac{105 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{8 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{105 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{8 b^{\frac{9}{2}}}+\frac{35 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{3}{2}}}{12 b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{105 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}}{8 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{105 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{8 b^{\frac{9}{2}}}-\frac{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{5}{2}}}{12 b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} x^{\frac{3}{2}}}{24 b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3} \sqrt{x}}{8 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{8 b^{\frac{9}{2}}}"," ",0,"1/3*x^(7/2)/b/arctanh(tanh(b*x+a))^(1/2)-7/12/b^2*a*x^(5/2)/arctanh(tanh(b*x+a))^(1/2)+35/24/b^3*a^2*x^(3/2)/arctanh(tanh(b*x+a))^(1/2)+35/8/b^4*a^3*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-35/8/b^(9/2)*a^3*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))+105/8/b^4*a^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-105/8/b^(9/2)*a^2*(arctanh(tanh(b*x+a))-b*x-a)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))+35/12/b^3*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(3/2)/arctanh(tanh(b*x+a))^(1/2)+105/8/b^4*a*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-105/8/b^(9/2)*a*(arctanh(tanh(b*x+a))-b*x-a)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))-7/12/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(5/2)/arctanh(tanh(b*x+a))^(1/2)+35/24/b^3*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(3/2)/arctanh(tanh(b*x+a))^(1/2)+35/8/b^4*(arctanh(tanh(b*x+a))-b*x-a)^3*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-35/8/b^(9/2)*(arctanh(tanh(b*x+a))-b*x-a)^3*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","B"
250,1,261,102,0.247000," ","int(x^(5/2)/arctanh(tanh(b*x+a))^(3/2),x)","\frac{x^{\frac{5}{2}}}{2 b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{5 a \,x^{\frac{3}{2}}}{4 b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{15 a^{2} \sqrt{x}}{4 b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{15 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{4 b^{\frac{7}{2}}}-\frac{15 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{2 b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{15 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{2 b^{\frac{7}{2}}}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{3}{2}}}{4 b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}}{4 b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{15 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{4 b^{\frac{7}{2}}}"," ",0,"1/2*x^(5/2)/b/arctanh(tanh(b*x+a))^(1/2)-5/4/b^2*a*x^(3/2)/arctanh(tanh(b*x+a))^(1/2)-15/4/b^3*a^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)+15/4/b^(7/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))-15/2/b^3*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)+15/2/b^(7/2)*a*(arctanh(tanh(b*x+a))-b*x-a)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))-5/4/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(3/2)/arctanh(tanh(b*x+a))^(1/2)-15/4/b^3*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)+15/4/b^(7/2)*(arctanh(tanh(b*x+a))-b*x-a)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","B"
251,1,130,70,0.255000," ","int(x^(3/2)/arctanh(tanh(b*x+a))^(3/2),x)","\frac{x^{\frac{3}{2}}}{b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{3 a \sqrt{x}}{b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{3 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{b^{\frac{5}{2}}}+\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{b^{\frac{5}{2}}}"," ",0,"x^(3/2)/b/arctanh(tanh(b*x+a))^(1/2)+3/b^2*a*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-3/b^(5/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))+3/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-3/b^(5/2)*(arctanh(tanh(b*x+a))-b*x-a)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","A"
252,1,42,40,0.249000," ","int(x^(1/2)/arctanh(tanh(b*x+a))^(3/2),x)","-\frac{2 \sqrt{x}}{b \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{2 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{b^{\frac{3}{2}}}"," ",0,"-2*x^(1/2)/b/arctanh(tanh(b*x+a))^(1/2)+2/b^(3/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","A"
253,1,29,29,0.250000," ","int(1/x^(1/2)/arctanh(tanh(b*x+a))^(3/2),x)","\frac{2 \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}"," ",0,"2*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(1/2)","A"
254,1,59,60,0.246000," ","int(1/x^(3/2)/arctanh(tanh(b*x+a))^(3/2),x)","-\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{4 b \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-4*b/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)","A"
255,1,105,92,0.248000," ","int(1/x^(5/2)/arctanh(tanh(b*x+a))^(3/2),x)","-\frac{2}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{8 b \left(-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 b \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}\right)}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)/arctanh(tanh(b*x+a))^(1/2)-8/3*b/(arctanh(tanh(b*x+a))-b*x)*(-1/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-2*b/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2))","A"
256,1,151,124,0.245000," ","int(1/x^(7/2)/arctanh(tanh(b*x+a))^(3/2),x)","-\frac{2}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{12 b \left(-\frac{1}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{4 b \left(-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}\, \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{2 b \sqrt{x}}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}\right)}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}\right)}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)/arctanh(tanh(b*x+a))^(1/2)-12/5*b/(arctanh(tanh(b*x+a))-b*x)*(-1/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)/arctanh(tanh(b*x+a))^(1/2)-4/3*b/(arctanh(tanh(b*x+a))-b*x)*(-1/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-2*b/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)))","A"
257,1,348,119,0.252000," ","int(x^(7/2)/arctanh(tanh(b*x+a))^(5/2),x)","\frac{x^{\frac{7}{2}}}{2 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{7 a \,x^{\frac{5}{2}}}{4 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{35 a^{2} x^{\frac{3}{2}}}{12 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{35 a^{2} \sqrt{x}}{4 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 a^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{4 b^{\frac{9}{2}}}-\frac{35 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{3}{2}}}{6 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{35 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{2 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{2 b^{\frac{9}{2}}}-\frac{7 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{5}{2}}}{4 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} x^{\frac{3}{2}}}{12 b^{3} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \sqrt{x}}{4 b^{4} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{35 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2} \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{4 b^{\frac{9}{2}}}"," ",0,"1/2*x^(7/2)/b/arctanh(tanh(b*x+a))^(3/2)-7/4/b^2*a*x^(5/2)/arctanh(tanh(b*x+a))^(3/2)-35/12/b^3*a^2*x^(3/2)/arctanh(tanh(b*x+a))^(3/2)-35/4/b^4*a^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)+35/4/b^(9/2)*a^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))-35/6/b^3*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(3/2)/arctanh(tanh(b*x+a))^(3/2)-35/2/b^4*a*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)+35/2/b^(9/2)*a*(arctanh(tanh(b*x+a))-b*x-a)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))-7/4/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(5/2)/arctanh(tanh(b*x+a))^(3/2)-35/12/b^3*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(3/2)/arctanh(tanh(b*x+a))^(3/2)-35/4/b^4*(arctanh(tanh(b*x+a))-b*x-a)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)+35/4/b^(9/2)*(arctanh(tanh(b*x+a))-b*x-a)^2*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","B"
258,1,180,87,0.247000," ","int(x^(5/2)/arctanh(tanh(b*x+a))^(5/2),x)","\frac{x^{\frac{5}{2}}}{b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{5 a \,x^{\frac{3}{2}}}{3 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{5 a \sqrt{x}}{b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{5 a \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{b^{\frac{7}{2}}}+\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) x^{\frac{3}{2}}}{3 b^{2} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \sqrt{x}}{b^{3} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}-\frac{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right) \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{b^{\frac{7}{2}}}"," ",0,"x^(5/2)/b/arctanh(tanh(b*x+a))^(3/2)+5/3/b^2*a*x^(3/2)/arctanh(tanh(b*x+a))^(3/2)+5/b^3*a*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-5/b^(7/2)*a*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))+5/3/b^2*(arctanh(tanh(b*x+a))-b*x-a)*x^(3/2)/arctanh(tanh(b*x+a))^(3/2)+5/b^3*(arctanh(tanh(b*x+a))-b*x-a)*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)-5/b^(7/2)*(arctanh(tanh(b*x+a))-b*x-a)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","B"
259,1,59,57,0.249000," ","int(x^(3/2)/arctanh(tanh(b*x+a))^(5/2),x)","-\frac{2 x^{\frac{3}{2}}}{3 b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{2 \sqrt{x}}{b^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}+\frac{2 \ln \left(\sqrt{b}\, \sqrt{x}+\sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}\right)}{b^{\frac{5}{2}}}"," ",0,"-2/3*x^(3/2)/b/arctanh(tanh(b*x+a))^(3/2)-2*x^(1/2)/b^2/arctanh(tanh(b*x+a))^(1/2)+2/b^(5/2)*ln(b^(1/2)*x^(1/2)+arctanh(tanh(b*x+a))^(1/2))","A"
260,1,92,29,0.248000," ","int(x^(1/2)/arctanh(tanh(b*x+a))^(5/2),x)","-\frac{\sqrt{x}}{b \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \left(\frac{\sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{2 \sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}\right)}{b}"," ",0,"-x^(1/2)/b/arctanh(tanh(b*x+a))^(3/2)+(arctanh(tanh(b*x+a))-b*x)/b*(1/3*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(3/2)+2/3/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2))","B"
261,1,58,59,0.241000," ","int(1/x^(1/2)/arctanh(tanh(b*x+a))^(5/2),x)","\frac{2 \sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{4 \sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}"," ",0,"2/3*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(3/2)+4/3/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)","A"
262,1,104,90,0.244000," ","int(1/x^(3/2)/arctanh(tanh(b*x+a))^(5/2),x)","-\frac{2}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{8 b \left(\frac{\sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{2 \sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}\right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}"," ",0,"-2/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)/arctanh(tanh(b*x+a))^(3/2)-8*b/(arctanh(tanh(b*x+a))-b*x)*(1/3*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(3/2)+2/3/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2))","A"
263,1,150,124,0.273000," ","int(1/x^(5/2)/arctanh(tanh(b*x+a))^(5/2),x)","-\frac{2}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{4 b \left(-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{4 b \left(\frac{\sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{2 \sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}\right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}\right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}"," ",0,"-2/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)/arctanh(tanh(b*x+a))^(3/2)-4*b/(arctanh(tanh(b*x+a))-b*x)*(-1/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)/arctanh(tanh(b*x+a))^(3/2)-4*b/(arctanh(tanh(b*x+a))-b*x)*(1/3*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(3/2)+2/3/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2)))","A"
264,1,196,156,0.256000," ","int(1/x^(7/2)/arctanh(tanh(b*x+a))^(5/2),x)","-\frac{2}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{5}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{16 b \left(-\frac{1}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{\frac{3}{2}} \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{2 b \left(-\frac{1}{\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \sqrt{x}\, \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}-\frac{4 b \left(\frac{\sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \arctanh \left(\tanh \left(b x +a \right)\right)^{\frac{3}{2}}}+\frac{2 \sqrt{x}}{3 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)^{2} \sqrt{\arctanh \left(\tanh \left(b x +a \right)\right)}}\right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}\right)}{\arctanh \left(\tanh \left(b x +a \right)\right)-b x}\right)}{5 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right)}"," ",0,"-2/5/(arctanh(tanh(b*x+a))-b*x)/x^(5/2)/arctanh(tanh(b*x+a))^(3/2)-16/5*b/(arctanh(tanh(b*x+a))-b*x)*(-1/3/(arctanh(tanh(b*x+a))-b*x)/x^(3/2)/arctanh(tanh(b*x+a))^(3/2)-2*b/(arctanh(tanh(b*x+a))-b*x)*(-1/(arctanh(tanh(b*x+a))-b*x)/x^(1/2)/arctanh(tanh(b*x+a))^(3/2)-4*b/(arctanh(tanh(b*x+a))-b*x)*(1/3*x^(1/2)/(arctanh(tanh(b*x+a))-b*x)/arctanh(tanh(b*x+a))^(3/2)+2/3/(arctanh(tanh(b*x+a))-b*x)^2*x^(1/2)/arctanh(tanh(b*x+a))^(1/2))))","A"
265,0,0,81,1.582000," ","int(x^m*arctanh(tanh(b*x+a))^n,x)","\int x^{m} \arctanh \left(\tanh \left(b x +a \right)\right)^{n}\, dx"," ",0,"int(x^m*arctanh(tanh(b*x+a))^n,x)","F"
266,1,654,165,0.139000," ","int(x^4*arctanh(tanh(b*x+a))^n,x)","\frac{x^{5} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{5+n}+\frac{n \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{4} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b \left(n^{2}+9 n +20\right)}-\frac{4 n \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) x^{3} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b^{2} \left(n^{3}+12 n^{2}+47 n +60\right)}+\frac{24 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{5}}{b^{5} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}+\frac{120 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{4} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{5} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}+\frac{240 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{5} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}+\frac{240 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{5} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}+\frac{120 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{b^{5} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}+\frac{24 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{5}}{b^{5} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}-\frac{24 \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right)^{2} n x \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b^{4} \left(n^{3}+12 n^{2}+47 n +60\right) \left(n^{2}+3 n +2\right)}+\frac{12 \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) n \,x^{2} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b^{3} \left(2+n \right) \left(n^{3}+12 n^{2}+47 n +60\right)}"," ",0,"1/(5+n)*x^5*exp(n*ln(arctanh(tanh(b*x+a))))+n/b*(arctanh(tanh(b*x+a))-b*x)/(n^2+9*n+20)*x^4*exp(n*ln(arctanh(tanh(b*x+a))))-4*n*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/b^2/(n^3+12*n^2+47*n+60)*x^3*exp(n*ln(arctanh(tanh(b*x+a))))+24/b^5/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a^5+120/b^5/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a^4*(arctanh(tanh(b*x+a))-b*x-a)+240/b^5/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a^3*(arctanh(tanh(b*x+a))-b*x-a)^2+240/b^5/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a^2*(arctanh(tanh(b*x+a))-b*x-a)^3+120/b^5/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a*(arctanh(tanh(b*x+a))-b*x-a)^4+24/b^5/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*(arctanh(tanh(b*x+a))-b*x-a)^5-24*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)^2*n/b^4/(n^3+12*n^2+47*n+60)/(n^2+3*n+2)*x*exp(n*ln(arctanh(tanh(b*x+a))))+12/b^3*(arctanh(tanh(b*x+a))-b*x)*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)*n/(2+n)/(n^3+12*n^2+47*n+60)*x^2*exp(n*ln(arctanh(tanh(b*x+a))))","B"
267,1,492,121,0.110000," ","int(x^3*arctanh(tanh(b*x+a))^n,x)","\frac{x^{4} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{4+n}+\frac{n \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{3} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b \left(n^{2}+7 n +12\right)}-\frac{6 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{4}}{b^{4} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right)}-\frac{24 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{3} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{4} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right)}-\frac{36 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{4} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right)}-\frac{24 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{4} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right)}-\frac{6 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{4}}{b^{4} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right)}-\frac{3 n \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) x^{2} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b^{2} \left(n^{3}+9 n^{2}+26 n +24\right)}+\frac{6 n \left(a^{3}+3 a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+3 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}\right) x \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b^{3} \left(n^{4}+10 n^{3}+35 n^{2}+50 n +24\right)}"," ",0,"1/(4+n)*x^4*exp(n*ln(arctanh(tanh(b*x+a))))+n*(arctanh(tanh(b*x+a))-b*x)/b/(n^2+7*n+12)*x^3*exp(n*ln(arctanh(tanh(b*x+a))))-6/b^4/(n^4+10*n^3+35*n^2+50*n+24)*exp(n*ln(arctanh(tanh(b*x+a))))*a^4-24/b^4/(n^4+10*n^3+35*n^2+50*n+24)*exp(n*ln(arctanh(tanh(b*x+a))))*a^3*(arctanh(tanh(b*x+a))-b*x-a)-36/b^4/(n^4+10*n^3+35*n^2+50*n+24)*exp(n*ln(arctanh(tanh(b*x+a))))*a^2*(arctanh(tanh(b*x+a))-b*x-a)^2-24/b^4/(n^4+10*n^3+35*n^2+50*n+24)*exp(n*ln(arctanh(tanh(b*x+a))))*a*(arctanh(tanh(b*x+a))-b*x-a)^3-6/b^4/(n^4+10*n^3+35*n^2+50*n+24)*exp(n*ln(arctanh(tanh(b*x+a))))*(arctanh(tanh(b*x+a))-b*x-a)^4-3*n/b^2*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/(n^3+9*n^2+26*n+24)*x^2*exp(n*ln(arctanh(tanh(b*x+a))))+6*n*(a^3+3*a^2*(arctanh(tanh(b*x+a))-b*x-a)+3*a*(arctanh(tanh(b*x+a))-b*x-a)^2+(arctanh(tanh(b*x+a))-b*x-a)^3)/b^3/(n^4+10*n^3+35*n^2+50*n+24)*x*exp(n*ln(arctanh(tanh(b*x+a))))","B"
268,1,315,82,0.105000," ","int(x^2*arctanh(tanh(b*x+a))^n,x)","\frac{x^{3} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{3+n}+\frac{n \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x^{2} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b \left(n^{2}+5 n +6\right)}+\frac{2 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{3}}{b^{3} \left(n^{3}+6 n^{2}+11 n +6\right)}+\frac{6 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{2} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{3} \left(n^{3}+6 n^{2}+11 n +6\right)}+\frac{6 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{3} \left(n^{3}+6 n^{2}+11 n +6\right)}+\frac{2 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{3}}{b^{3} \left(n^{3}+6 n^{2}+11 n +6\right)}-\frac{2 n \left(a^{2}+2 a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)+\left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}\right) x \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b^{2} \left(n^{3}+6 n^{2}+11 n +6\right)}"," ",0,"1/(3+n)*x^3*exp(n*ln(arctanh(tanh(b*x+a))))+n/b*(arctanh(tanh(b*x+a))-b*x)/(n^2+5*n+6)*x^2*exp(n*ln(arctanh(tanh(b*x+a))))+2/b^3/(n^3+6*n^2+11*n+6)*exp(n*ln(arctanh(tanh(b*x+a))))*a^3+6/b^3/(n^3+6*n^2+11*n+6)*exp(n*ln(arctanh(tanh(b*x+a))))*a^2*(arctanh(tanh(b*x+a))-b*x-a)+6/b^3/(n^3+6*n^2+11*n+6)*exp(n*ln(arctanh(tanh(b*x+a))))*a*(arctanh(tanh(b*x+a))-b*x-a)^2+2/b^3/(n^3+6*n^2+11*n+6)*exp(n*ln(arctanh(tanh(b*x+a))))*(arctanh(tanh(b*x+a))-b*x-a)^3-2*n*(a^2+2*a*(arctanh(tanh(b*x+a))-b*x-a)+(arctanh(tanh(b*x+a))-b*x-a)^2)/b^2/(n^3+6*n^2+11*n+6)*x*exp(n*ln(arctanh(tanh(b*x+a))))","B"
269,1,175,48,0.104000," ","int(x*arctanh(tanh(b*x+a))^n,x)","\frac{x^{2} {\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{2+n}+\frac{n \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x \right) x \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)}}{b \left(n^{2}+3 n +2\right)}-\frac{{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a^{2}}{b^{2} \left(n^{2}+3 n +2\right)}-\frac{2 \,{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} a \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)}{b^{2} \left(n^{2}+3 n +2\right)}-\frac{{\mathrm e}^{n \ln \left(\arctanh \left(\tanh \left(b x +a \right)\right)\right)} \left(\arctanh \left(\tanh \left(b x +a \right)\right)-b x -a \right)^{2}}{b^{2} \left(n^{2}+3 n +2\right)}"," ",0,"1/(2+n)*x^2*exp(n*ln(arctanh(tanh(b*x+a))))+n*(arctanh(tanh(b*x+a))-b*x)/b/(n^2+3*n+2)*x*exp(n*ln(arctanh(tanh(b*x+a))))-1/b^2/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a^2-2/b^2/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*a*(arctanh(tanh(b*x+a))-b*x-a)-1/b^2/(n^2+3*n+2)*exp(n*ln(arctanh(tanh(b*x+a))))*(arctanh(tanh(b*x+a))-b*x-a)^2","B"
270,1,21,20,0.030000," ","int(arctanh(tanh(b*x+a))^n,x)","\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{1+n}}{b \left(1+n \right)}"," ",0,"arctanh(tanh(b*x+a))^(1+n)/b/(1+n)","A"
271,0,0,66,0.390000," ","int(arctanh(tanh(b*x+a))^n/x,x)","\int \frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{n}}{x}\, dx"," ",0,"int(arctanh(tanh(b*x+a))^n/x,x)","F"
272,0,0,73,0.879000," ","int(arctanh(tanh(b*x+a))^n/x^2,x)","\int \frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{n}}{x^{2}}\, dx"," ",0,"int(arctanh(tanh(b*x+a))^n/x^2,x)","F"
273,0,0,97,0.951000," ","int(arctanh(tanh(b*x+a))^n/x^3,x)","\int \frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{n}}{x^{3}}\, dx"," ",0,"int(arctanh(tanh(b*x+a))^n/x^3,x)","F"
274,1,676,37,0.289000," ","int(x^m*arccoth(tanh(b*x+a)),x)","\frac{x \,x^{m} \ln \left({\mathrm e}^{b x +a}\right)}{1+m}-\frac{x \left(-i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2} m +i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) m +4 i \pi +i \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) m -i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2} m +2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}+2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3} m -2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}-2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2} m +2 i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3} m -2 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+2 i \pi  m +i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3} m +2 i \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)-2 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2} m +2 i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)+4 b x -4 i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}+4 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}-4 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}\right) x^{m}}{4 \left(1+m \right) \left(2+m \right)}"," ",0,"1/(1+m)*x*x^m*ln(exp(b*x+a))-1/4*x*(-I*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*m+I*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*m+4*I*Pi+I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*m-I*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*m+2*I*Pi*csgn(I*exp(2*b*x+2*a))^3+2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3*m-2*I*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2*m+2*I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+I*Pi*csgn(I*exp(2*b*x+2*a))^3*m-2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+2*I*Pi*m+I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*m+2*I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*m+2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+4*b*x-4*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+4*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3-4*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2)/(1+m)/(2+m)*x^m","C"
275,1,20,19,0.235000," ","int(x^2*arctanh(coth(b*x+a)),x)","-\frac{b \,x^{4}}{12}+\frac{x^{3} \arctanh \left(\coth \left(b x +a \right)\right)}{3}"," ",0,"-1/12*b*x^4+1/3*x^3*arctanh(coth(b*x+a))","A"
276,1,20,19,0.135000," ","int(x*arctanh(coth(b*x+a)),x)","-\frac{b \,x^{3}}{6}+\frac{x^{2} \arctanh \left(\coth \left(b x +a \right)\right)}{2}"," ",0,"-1/6*b*x^3+1/2*x^2*arctanh(coth(b*x+a))","A"
277,1,15,14,0.026000," ","int(arctanh(coth(b*x+a)),x)","\frac{\arctanh \left(\coth \left(b x +a \right)\right)^{2}}{2 b}"," ",0,"1/2*arctanh(coth(b*x+a))^2/b","A"
278,1,21,21,0.145000," ","int(arctanh(coth(b*x+a))/x,x)","\ln \left(x \right) \arctanh \left(\coth \left(b x +a \right)\right)-\ln \left(x \right) x b +b x"," ",0,"ln(x)*arctanh(coth(b*x+a))-ln(x)*x*b+b*x","A"
279,1,18,17,0.136000," ","int(arctanh(coth(b*x+a))/x^2,x)","-\frac{\arctanh \left(\coth \left(b x +a \right)\right)}{x}+b \ln \left(x \right)"," ",0,"-arctanh(coth(b*x+a))/x+b*ln(x)","A"
280,1,20,19,0.135000," ","int(arctanh(coth(b*x+a))/x^3,x)","-\frac{b}{2 x}-\frac{\arctanh \left(\coth \left(b x +a \right)\right)}{2 x^{2}}"," ",0,"-1/2*b/x-1/2*arctanh(coth(b*x+a))/x^2","A"
281,1,21,24,0.310000," ","int(arctanh(cosh(x)),x)","x \arctanh \left(\cosh \left(x \right)\right)+2 \dilog \left({\mathrm e}^{-x}\right)-\frac{\dilog \left({\mathrm e}^{-2 x}\right)}{2}"," ",0,"x*arctanh(cosh(x))+2*dilog(exp(-x))-1/2*dilog(exp(-2*x))","A"
282,1,479,44,0.501000," ","int(x*arctanh(cosh(x)),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{2}}{8}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{2}}{8}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) x^{2}}{8}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{2}}{4}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{2}}{4}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right) x^{2}}{8}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{3} x^{2}}{8}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{2}}{8}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right) x^{2}}{8}-\frac{i \pi  \,x^{2}}{4}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{3} x^{2}}{8}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right)^{3} x^{2}}{8}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right) x^{2}}{8}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{2}}{8}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{2}}{4}+\polylog \left(3, -{\mathrm e}^{x}\right)-\polylog \left(3, {\mathrm e}^{x}\right)-\frac{x^{2} \ln \left({\mathrm e}^{x}-1\right)}{2}+\frac{x^{2} \ln \left(1-{\mathrm e}^{x}\right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{3} x^{2}}{8}+x \polylog \left(2, {\mathrm e}^{x}\right)-x \polylog \left(2, -{\mathrm e}^{x}\right)"," ",0,"-1/8*I*Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)-1)^2)^2*x^2-1/8*I*Pi*csgn(I*(exp(x)-1)^2)*csgn(I*exp(-x)*(exp(x)-1)^2)^2*x^2+1/8*I*Pi*csgn(I*(exp(x)-1))^2*csgn(I*(exp(x)-1)^2)*x^2-1/4*I*Pi*csgn(I*(exp(x)-1))*csgn(I*(exp(x)-1)^2)^2*x^2+1/4*I*Pi*csgn(I*exp(-x)*(exp(x)-1)^2)^2*x^2-1/8*I*Pi*csgn(I*(exp(x)+1)^2)*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)+1)^2)*x^2-1/8*I*Pi*csgn(I*(exp(x)+1)^2)^3*x^2+1/8*I*Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)+1)^2)^2*x^2+1/8*I*Pi*csgn(I*(exp(x)-1)^2)*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)-1)^2)*x^2-1/4*I*Pi*x^2-1/8*I*Pi*csgn(I*exp(-x)*(exp(x)+1)^2)^3*x^2+1/8*I*Pi*csgn(I*(exp(x)-1)^2)^3*x^2-1/8*I*Pi*csgn(I*(exp(x)+1))^2*csgn(I*(exp(x)+1)^2)*x^2+1/8*I*Pi*csgn(I*(exp(x)+1)^2)*csgn(I*exp(-x)*(exp(x)+1)^2)^2*x^2+1/4*I*Pi*csgn(I*(exp(x)+1))*csgn(I*(exp(x)+1)^2)^2*x^2+polylog(3,-exp(x))-polylog(3,exp(x))-1/2*x^2*ln(exp(x)-1)+1/2*x^2*ln(1-exp(x))-1/8*I*Pi*csgn(I*exp(-x)*(exp(x)-1)^2)^3*x^2+x*polylog(2,exp(x))-x*polylog(2,-exp(x))","C"
283,1,501,66,0.442000," ","int(x^2*arctanh(cosh(x)),x)","-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{3} x^{3}}{12}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{3}}{12}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right) x^{3}}{12}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right) x^{3}}{12}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{3}}{6}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{3}}{12}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{3}}{6}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right)^{3} x^{3}}{12}-\frac{i \pi  \,x^{3}}{6}+\frac{x^{3} \ln \left(1-{\mathrm e}^{x}\right)}{3}-\frac{x^{3} \ln \left({\mathrm e}^{x}-1\right)}{3}+2 x \polylog \left(3, -{\mathrm e}^{x}\right)-2 x \polylog \left(3, {\mathrm e}^{x}\right)-2 \polylog \left(4, -{\mathrm e}^{x}\right)+2 \polylog \left(4, {\mathrm e}^{x}\right)+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{3}}{12}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{3} x^{3}}{12}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{3}}{6}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} x^{3}}{12}+x^{2} \polylog \left(2, {\mathrm e}^{x}\right)-x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) x^{3}}{12}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right)^{3} x^{3}}{12}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x}\right) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}-1\right)^{2}\right) x^{3}}{12}"," ",0,"-1/12*I*Pi*csgn(I*exp(-x)*(exp(x)+1)^2)^3*x^3+1/12*I*Pi*csgn(I*(exp(x)+1)^2)*csgn(I*exp(-x)*(exp(x)+1)^2)^2*x^3-1/12*I*Pi*csgn(I*(exp(x)+1)^2)*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)+1)^2)*x^3-1/12*I*Pi*csgn(I*(exp(x)+1))^2*csgn(I*(exp(x)+1)^2)*x^3-1/6*I*Pi*csgn(I*(exp(x)-1))*csgn(I*(exp(x)-1)^2)^2*x^3-1/12*I*Pi*csgn(I*(exp(x)-1)^2)*csgn(I*exp(-x)*(exp(x)-1)^2)^2*x^3+1/6*I*Pi*csgn(I*exp(-x)*(exp(x)-1)^2)^2*x^3+1/12*I*Pi*csgn(I*(exp(x)-1)^2)^3*x^3-1/6*I*Pi*x^3+1/3*x^3*ln(1-exp(x))-1/3*x^3*ln(exp(x)-1)+2*x*polylog(3,-exp(x))-2*x*polylog(3,exp(x))-2*polylog(4,-exp(x))+2*polylog(4,exp(x))+1/12*I*Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)+1)^2)^2*x^3-1/12*I*Pi*csgn(I*(exp(x)+1)^2)^3*x^3+1/6*I*Pi*csgn(I*(exp(x)+1))*csgn(I*(exp(x)+1)^2)^2*x^3-1/12*I*Pi*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)-1)^2)^2*x^3+x^2*polylog(2,exp(x))-x^2*polylog(2,-exp(x))+1/12*I*Pi*csgn(I*(exp(x)-1))^2*csgn(I*(exp(x)-1)^2)*x^3-1/12*I*Pi*csgn(I*exp(-x)*(exp(x)-1)^2)^3*x^3+1/12*I*Pi*csgn(I*(exp(x)-1)^2)*csgn(I*exp(-x))*csgn(I*exp(-x)*(exp(x)-1)^2)*x^3","C"
284,1,5366,281,11.993000," ","int(x^2*arctanh(c+d*tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
285,1,5062,211,3.945000," ","int(x*arctanh(c+d*tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
286,1,306,138,0.300000," ","int(arctanh(c+d*tanh(b*x+a)),x)","-\frac{\arctanh \left(c +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)-d \right)}{2 b}+\frac{\arctanh \left(c +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)+d \right)}{2 b}+\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+c -1}{c -d -1}\right)}{4 b}+\frac{\ln \left(d \tanh \left(b x +a \right)+d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+c -1}{c -d -1}\right)}{4 b}-\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+c +1}{1+c -d}\right)}{4 b}-\frac{\ln \left(d \tanh \left(b x +a \right)+d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+c +1}{1+c -d}\right)}{4 b}+\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+c +1}{1+c +d}\right)}{4 b}+\frac{\ln \left(d \tanh \left(b x +a \right)-d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+c +1}{1+c +d}\right)}{4 b}-\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+c -1}{c +d -1}\right)}{4 b}-\frac{\ln \left(d \tanh \left(b x +a \right)-d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+c -1}{c +d -1}\right)}{4 b}"," ",0,"-1/2/b*arctanh(c+d*tanh(b*x+a))*ln(d*tanh(b*x+a)-d)+1/2/b*arctanh(c+d*tanh(b*x+a))*ln(d*tanh(b*x+a)+d)+1/4/b*dilog((d*tanh(b*x+a)+c-1)/(c-d-1))+1/4/b*ln(d*tanh(b*x+a)+d)*ln((d*tanh(b*x+a)+c-1)/(c-d-1))-1/4/b*dilog((d*tanh(b*x+a)+c+1)/(1+c-d))-1/4/b*ln(d*tanh(b*x+a)+d)*ln((d*tanh(b*x+a)+c+1)/(1+c-d))+1/4/b*dilog((d*tanh(b*x+a)+c+1)/(1+c+d))+1/4/b*ln(d*tanh(b*x+a)-d)*ln((d*tanh(b*x+a)+c+1)/(1+c+d))-1/4/b*dilog((d*tanh(b*x+a)+c-1)/(c+d-1))-1/4/b*ln(d*tanh(b*x+a)-d)*ln((d*tanh(b*x+a)+c-1)/(c+d-1))","B"
287,0,0,17,0.625000," ","int(arctanh(c+d*tanh(b*x+a))/x,x)","\int \frac{\arctanh \left(c +d \tanh \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(c+d*tanh(b*x+a))/x,x)","F"
288,1,1769,136,5.084000," ","int(x^3*arctanh(1+d+d*tanh(b*x+a)),x)","-\frac{d \,a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{8 b^{4} \left(1+d \right)}-\frac{d \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(1+d \right)}-\frac{d \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(1+d \right)}+\frac{3 d \polylog \left(3, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(1+d \right)}+\frac{3 \polylog \left(5, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(1+d \right)}-\frac{i x^{4} \pi}{8}-\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 \left(1+d \right)}-\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 \left(1+d \right)}+\frac{a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}-\frac{3 a^{4} \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{4} \left(1+d \right)}+\frac{d \,a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{3} \left(1+d \right)}+\frac{b \,x^{5}}{20}-\frac{3 \polylog \left(4, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(1+d \right)}+\frac{a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{3 d \polylog \left(5, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(1+d \right)}-\frac{a^{3} \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{4 b^{4} \left(1+d \right)}-\frac{\polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(1+d \right)}+\frac{3 \polylog \left(3, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(1+d \right)}-\frac{3 d \polylog \left(4, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(1+d \right)}+\frac{d \,a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{d \,a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{8}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}+\frac{d \,a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{4} \left(1+d \right)}+\frac{x^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{8}-\frac{a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{8 b^{4} \left(1+d \right)}-\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{16}-\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{16}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{16}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{16}+\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{3} \left(1+d \right)}-\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(1+d \right)}+\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{3} \left(1+d \right)}+\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{3} \left(1+d \right)}-\frac{3 d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(1+d \right)}-\frac{a^{3} \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{2 b^{3} \left(1+d \right)}-\frac{x^{4} \ln \left({\mathrm e}^{b x +a}\right)}{4}-\frac{x^{4} \ln \left(d \right)}{8}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{16}"," ",0,"-1/8/b^4*d*a^4/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+1/16*I*x^4*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))+1/16*I*x^4*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))-1/16*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^3+3/16/b^4/(1+d)*polylog(5,-(1+d)*exp(2*b*x+2*a))-1/8/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x^4-3/8/b^3/(1+d)*polylog(4,-(1+d)*exp(2*b*x+2*a))*x+1/2/b^4*a^3/(1+d)*dilog(1+exp(b*x+a)*(-d-1)^(1/2))-1/8*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x^4+1/2/b^4*a^3/(1+d)*dilog(1-exp(b*x+a)*(-d-1)^(1/2))+3/16/b^4*d/(1+d)*polylog(5,-(1+d)*exp(2*b*x+2*a))+1/2/b^4*a^4/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))+1/2/b^4*a^4/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))-3/8/b^4*a^4/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))-1/4/b^4*a^3/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))-1/4/b/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*x^3+3/8/b^2/(1+d)*polylog(3,-(1+d)*exp(2*b*x+2*a))*x^2+1/2/b^4*d*a^4/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))+1/2/b^3*a^3/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))*x-1/8*I*x^4*Pi+1/20*b*x^5+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))^3+1/8*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/2/b^4*d*a^4/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))+1/8*x^4*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-1/8/b^4*a^4/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/2/b^3*d*a^3/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))*x-1/2/b^3*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x*a^3+1/2/b^3*d*a^3/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))*x+1/2/b^3*a^3/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))*x-3/8/b^4*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*a^4-1/4/b*d/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*x^3-1/4/b^4*d/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*a^3+3/8/b^2*d/(1+d)*polylog(3,-(1+d)*exp(2*b*x+2*a))*x^2-3/8/b^3*d/(1+d)*polylog(4,-(1+d)*exp(2*b*x+2*a))*x-1/2/b^3*a^3/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x+1/2/b^4*d*a^3/(1+d)*dilog(1+exp(b*x+a)*(-d-1)^(1/2))+1/2/b^4*d*a^3/(1+d)*dilog(1-exp(b*x+a)*(-d-1)^(1/2))-1/4*x^4*ln(exp(b*x+a))-1/8*x^4*ln(d)-1/8*I*x^4*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/16*I*x^4*Pi*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^2-1/16*I*x^4*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^2","C"
289,1,1710,112,4.592000," ","int(x^2*arctanh(1+d+d*tanh(b*x+a)),x)","\frac{x^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{6}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{6}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}+\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(1+d \right)}-\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}-\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}+\frac{d \,a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{6 b^{3} \left(1+d \right)}-\frac{a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}-\frac{a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}-\frac{\polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(1+d \right)}+\frac{\polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(1+d \right)}+\frac{\polylog \left(3, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(1+d \right)}-\frac{d \polylog \left(4, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(1+d \right)}-\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{12}-\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{6}+\frac{b \,x^{4}}{12}-\frac{\polylog \left(4, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(1+d \right)}-\frac{i \pi  \,x^{3}}{6}-\frac{x^{3} \ln \left({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{6}-\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(1+d \right)}-\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{2} \left(1+d \right)}+\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(1+d \right)}-\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{2} \left(1+d \right)}+\frac{a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{6 b^{3} \left(1+d \right)}-\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(1+d \right)}-\frac{d \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(1+d \right)}+\frac{d \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(1+d \right)}+\frac{d \polylog \left(3, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(1+d \right)}-\frac{d \,a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}-\frac{d \,a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}+\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(1+d \right)}+\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(1+d \right)}-\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{2} \left(1+d \right)}-\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b^{2} \left(1+d \right)}-\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}-\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{3} \left(1+d \right)}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)}{12}"," ",0,"1/6*x^3*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^3-1/2/b^3*a^2/(1+d)*dilog(1+exp(b*x+a)*(-d-1)^(1/2))-1/2/b^3*a^2/(1+d)*dilog(1-exp(b*x+a)*(-d-1)^(1/2))+1/3/b^3/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*a^3-1/4/b/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*x^2+1/4/b^3/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*a^2+1/4/b^2/(1+d)*polylog(3,-(1+d)*exp(2*b*x+2*a))*x-1/2/b^3*a^3/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))-1/2/b^3*a^3/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/6*I*Pi*x^3+1/6/b^3*d*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+1/12*b*x^4-1/12*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3-1/3*x^3*ln(exp(b*x+a))-1/6*x^3*ln(d)+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))^3-1/6*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x^3-1/8/b^3*d/(1+d)*polylog(4,-(1+d)*exp(2*b*x+2*a))-1/2/b^2*d*a^2/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))*x+1/2/b^2*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x*a^2-1/2/b^2*d*a^2/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))*x+1/6/b^3*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+1/6*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/6/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x^3-1/8/b^3/(1+d)*polylog(4,-(1+d)*exp(2*b*x+2*a))+1/2/b^2/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x*a^2+1/3/b^3*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*a^3-1/4/b*d/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*x^2+1/4/b^3*d/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*a^2+1/4/b^2*d/(1+d)*polylog(3,-(1+d)*exp(2*b*x+2*a))*x-1/2/b^2*a^2/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))*x-1/2/b^2*a^2/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))*x-1/2/b^3*d*a^3/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))-1/2/b^3*d*a^3/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))-1/2/b^3*d*a^2/(1+d)*dilog(1+exp(b*x+a)*(-d-1)^(1/2))-1/2/b^3*d*a^2/(1+d)*dilog(1-exp(b*x+a)*(-d-1)^(1/2))+1/12*I*x^3*Pi*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^2-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^2+1/12*I*x^3*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/6*I*x^3*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))","C"
290,1,1627,88,4.181000," ","int(x*arctanh(1+d+d*tanh(b*x+a)),x)","-\frac{i \pi  \,x^{2}}{4}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{4}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{x^{2} \ln \left({\mathrm e}^{b x +a}\right)}{2}-\frac{x^{2} \ln \left(d \right)}{4}+\frac{b \,x^{3}}{6}+\frac{d a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}+\frac{d a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}-\frac{d \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(1+d \right)}-\frac{d \polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(1+d \right)}-\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{4}-\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{8}-\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \left(1+d \right)}-\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(1+d \right)}+\frac{d a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b \left(1+d \right)}+\frac{d a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b \left(1+d \right)}-\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(1+d \right)}-\frac{d \ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(1+d \right)}+\frac{a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b \left(1+d \right)}+\frac{a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right) x}{2 b \left(1+d \right)}+\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}+\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}-\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(1+d \right)}+\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}+\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}-\frac{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \left(1+d \right)}+\frac{\polylog \left(3, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(1+d \right)}+\frac{d \polylog \left(3, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(1+d \right)}+\frac{a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}-\frac{\polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(1+d \right)}-\frac{\polylog \left(2, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(1+d \right)}+\frac{a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{-d -1}\right)}{2 b^{2} \left(1+d \right)}-\frac{a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{4 b^{2} \left(1+d \right)}+\frac{x^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{4}-\frac{d \,a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{4 b^{2} \left(1+d \right)}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{8}"," ",0,"-1/8*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3-1/2*x^2*ln(exp(b*x+a))-1/4*x^2*ln(d)+1/6*b*x^3-1/4*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x^2+1/8/b^2*d/(1+d)*polylog(3,-(1+d)*exp(2*b*x+2*a))+1/2/b^2*a/(1+d)*dilog(1+exp(b*x+a)*(-d-1)^(1/2))+1/2/b^2*d*a/(1+d)*dilog(1+exp(b*x+a)*(-d-1)^(1/2))+1/2/b^2*d*a/(1+d)*dilog(1-exp(b*x+a)*(-d-1)^(1/2))-1/2/b*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x*a+1/2/b*d*a/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))*x+1/2/b*d*a/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))*x-1/2/b/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x*a-1/4/b^2*d/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*a^2-1/4/b*d/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*x-1/4/b^2*d/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*a+1/2/b*a/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))*x+1/2/b*a/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))*x+1/2/b^2*d*a^2/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))+1/2/b^2*d*a^2/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))-1/4/b^2/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*a^2-1/4/b/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*x-1/4/b^2/(1+d)*polylog(2,-(1+d)*exp(2*b*x+2*a))*a+1/2/b^2*a^2/(1+d)*ln(1+exp(b*x+a)*(-d-1)^(1/2))+1/2/b^2*a^2/(1+d)*ln(1-exp(b*x+a)*(-d-1)^(1/2))+1/2/b^2*a/(1+d)*dilog(1-exp(b*x+a)*(-d-1)^(1/2))-1/4*I*Pi*x^2+1/8/b^2/(1+d)*polylog(3,-(1+d)*exp(2*b*x+2*a))-1/4/(1+d)*ln(1+(1+d)*exp(2*b*x+2*a))*x^2+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))^3+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/4*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^3-1/4/b^2*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+1/4*x^2*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/8*I*x^2*Pi*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^2-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/4*I*x^2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/8*I*x^2*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/4/b^2*d*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1))+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))","C"
291,1,247,61,0.339000," ","int(arctanh(1+d+d*tanh(b*x+a)),x)","-\frac{\arctanh \left(1+d +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)-d \right)}{2 b}+\frac{\arctanh \left(1+d +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)+d \right)}{2 b}+\frac{\ln \left(d \tanh \left(b x +a \right)+d \right)^{2}}{8 b}-\frac{\dilog \left(1+\frac{d \tanh \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}-\frac{\ln \left(d \tanh \left(b x +a \right)+d \right) \ln \left(1+\frac{d \tanh \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}-\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+d}{2 d}\right)}{4 b}-\frac{\ln \left(d \tanh \left(b x +a \right)-d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+d}{2 d}\right)}{4 b}+\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+d +2}{2 d +2}\right)}{4 b}+\frac{\ln \left(d \tanh \left(b x +a \right)-d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+d +2}{2 d +2}\right)}{4 b}"," ",0,"-1/2/b*arctanh(1+d+d*tanh(b*x+a))*ln(d*tanh(b*x+a)-d)+1/2/b*arctanh(1+d+d*tanh(b*x+a))*ln(d*tanh(b*x+a)+d)+1/8/b*ln(d*tanh(b*x+a)+d)^2-1/4/b*dilog(1+1/2*d*tanh(b*x+a)+1/2*d)-1/4/b*ln(d*tanh(b*x+a)+d)*ln(1+1/2*d*tanh(b*x+a)+1/2*d)-1/4/b*dilog(1/2*(d*tanh(b*x+a)+d)/d)-1/4/b*ln(d*tanh(b*x+a)-d)*ln(1/2*(d*tanh(b*x+a)+d)/d)+1/4/b*dilog((d*tanh(b*x+a)+d+2)/(2*d+2))+1/4/b*ln(d*tanh(b*x+a)-d)*ln((d*tanh(b*x+a)+d+2)/(2*d+2))","B"
292,0,0,18,0.952000," ","int(arctanh(1+d+d*tanh(b*x+a))/x,x)","\int \frac{\arctanh \left(1+d +d \tanh \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(1+d+d*tanh(b*x+a))/x,x)","F"
293,1,1773,146,4.996000," ","int(-x^3*arctanh(-1+d+d*tanh(b*x+a)),x)","\frac{i x^{4} \pi}{8}+\frac{d \,a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}+\frac{d \,a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}-\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 \left(d -1\right)}-\frac{a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}-\frac{a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}+\frac{3 \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(d -1\right)}+\frac{b \,x^{5}}{20}-\frac{d \,a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{8 b^{4} \left(d -1\right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{8}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}+\frac{a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{8 b^{4} \left(d -1\right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{16}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{16}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 d -8}-\frac{3 \polylog \left(3, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(d -1\right)}+\frac{3 \polylog \left(4, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(d -1\right)}+\frac{3 d \polylog \left(5, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(d -1\right)}-\frac{a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}-\frac{a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}+\frac{\polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(d -1\right)}+\frac{\polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(d -1\right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{16}-\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{16}-\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{3} \left(d -1\right)}-\frac{3 d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(d -1\right)}-\frac{x^{4} \ln \left({\mathrm e}^{b x +a}\right)}{4}-\frac{x^{4} \ln \left(d \right)}{8}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{3 \polylog \left(5, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(d -1\right)}+\frac{x^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{8}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(d -1\right)}-\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{3} \left(d -1\right)}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{d \polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(d -1\right)}-\frac{d \polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(d -1\right)}+\frac{d \,a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}+\frac{3 d \polylog \left(3, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(d -1\right)}-\frac{3 d \polylog \left(4, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(d -1\right)}+\frac{d \,a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{4} \left(d -1\right)}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{16}-\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(d -1\right)}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)}{16}+\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{3} \left(d -1\right)}+\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{3} \left(d -1\right)}"," ",0,"1/16*I*x^4*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/16*I*x^4*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))-1/4/b^4*d/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*a^3+1/2/b^4*d*a^4/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))+1/2/b^4*d*a^4/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^3+1/16*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3-1/8*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^4-3/8/b^2/(d-1)*polylog(3,(d-1)*exp(2*b*x+2*a))*x^2+3/8/b^3/(d-1)*polylog(4,(d-1)*exp(2*b*x+2*a))*x-1/2/b^4*a^4/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^4*a^4/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))+3/16/b^4*d/(d-1)*polylog(5,(d-1)*exp(2*b*x+2*a))-1/2/b^4*a^3/(d-1)*dilog(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^4*a^3/(d-1)*dilog(1+exp(b*x+a)*(d-1)^(1/2))+3/8/b^4/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*a^4+1/4/b/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*x^3+1/4/b^4/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*a^3+1/20*b*x^5-1/8*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2-1/8/b^4*d*a^4/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))^3+1/8*I*x^4*Pi+1/8/b^4*a^4/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/8/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^4-3/16/b^4/(d-1)*polylog(5,(d-1)*exp(2*b*x+2*a))-1/2/b^3*a^3/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))*x-3/8/b^4*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*a^4-1/4/b*d/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*x^3-1/4*x^4*ln(exp(b*x+a))-1/8*x^4*ln(d)-1/8*I*x^4*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/8*x^4*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/2/b^3/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x*a^3+1/2/b^4*d*a^3/(d-1)*dilog(1+exp(b*x+a)*(d-1)^(1/2))+3/8/b^2*d/(d-1)*polylog(3,(d-1)*exp(2*b*x+2*a))*x^2-3/8/b^3*d/(d-1)*polylog(4,(d-1)*exp(2*b*x+2*a))*x+1/2/b^4*d*a^3/(d-1)*dilog(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^3*a^3/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))*x+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2-1/16*I*x^4*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))+1/16*I*x^4*Pi*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2-1/2/b^3*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x*a^3+1/2/b^3*d*a^3/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))*x+1/2/b^3*d*a^3/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))*x","C"
294,1,1716,120,4.961000," ","int(-x^2*arctanh(-1+d+d*tanh(b*x+a)),x)","\frac{a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}+\frac{a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}+\frac{\polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(d -1\right)}-\frac{\polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(d -1\right)}-\frac{\polylog \left(3, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(d -1\right)}-\frac{d \polylog \left(4, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(d -1\right)}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{12}-\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{6}+\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{12}+\frac{d \,a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{6 b^{3} \left(d -1\right)}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{6}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(d -1\right)}+\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}+\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(d -1\right)}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{12}+\frac{b \,x^{4}}{12}+\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(d -1\right)}-\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(d -1\right)}+\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{2} \left(d -1\right)}+\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{2} \left(d -1\right)}-\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}+\frac{\polylog \left(4, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(d -1\right)}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 d -6}-\frac{x^{3} \ln \left({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{6}+\frac{i x^{3} \pi}{6}+\frac{x^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{6}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{6 b^{3} \left(d -1\right)}-\frac{d \,a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \,a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(d -1\right)}+\frac{d \polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(d -1\right)}+\frac{d \polylog \left(3, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(d -1\right)}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{12}-\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{2} \left(d -1\right)}+\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(d -1\right)}-\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b^{2} \left(d -1\right)}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{12}"," ",0,"1/6/b^3*d*a^3/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/12*I*x^3*Pi*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/12*I*x^3*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/6*I*x^3*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^3+1/8/b^3/(d-1)*polylog(4,(d-1)*exp(2*b*x+2*a))+1/6/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^3+1/2/b^3*a^2/(d-1)*dilog(1-exp(b*x+a)*(d-1)^(1/2))+1/2/b^3*a^2/(d-1)*dilog(1+exp(b*x+a)*(d-1)^(1/2))-1/3/b^3/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*a^3+1/4/b/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*x^2-1/4/b^3/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*a^2-1/4/b^2/(d-1)*polylog(3,(d-1)*exp(2*b*x+2*a))*x+1/2/b^3*a^3/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))+1/2/b^3*a^3/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))-1/8/b^3*d/(d-1)*polylog(4,(d-1)*exp(2*b*x+2*a))-1/6*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^3+1/12*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3+1/6*I*x^3*Pi+1/12*b*x^4-1/2/b^3*d*a^2/(d-1)*dilog(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^3*d*a^2/(d-1)*dilog(1+exp(b*x+a)*(d-1)^(1/2))+1/3/b^3*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*a^3-1/4/b*d/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*x^2+1/4/b^3*d/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*a^2+1/4/b^2*d/(d-1)*polylog(3,(d-1)*exp(2*b*x+2*a))*x-1/2/b^2/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x*a^2+1/2/b^2*a^2/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))*x+1/2/b^2*a^2/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))*x-1/2/b^3*d*a^3/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^3*d*a^3/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))-1/3*x^3*ln(exp(b*x+a))-1/6*x^3*ln(d)+1/6*x^3*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)-1/6*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))^3-1/6/b^3*a^3/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2-1/2/b^2*d*a^2/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))*x+1/2/b^2*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x*a^2-1/2/b^2*d*a^2/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))*x-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))","C"
295,1,1635,94,4.490000," ","int(-x*arctanh(-1+d+d*tanh(b*x+a)),x)","-\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}-\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(d -1\right)}-\frac{\polylog \left(3, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(d -1\right)}+\frac{i \pi  \,x^{2}}{4}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{x^{2} \ln \left({\mathrm e}^{b x +a}\right)}{2}-\frac{x^{2} \ln \left(d \right)}{4}+\frac{d a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}+\frac{d a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}-\frac{d \polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(d -1\right)}-\frac{d \polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{4}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{8}+\frac{\polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(d -1\right)}+\frac{d \polylog \left(3, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(d -1\right)}-\frac{a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}-\frac{a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}+\frac{\polylog \left(2, \left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(d -1\right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{8}-\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{4}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{8}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 d -4}+\frac{a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{4 b^{2} \left(d -1\right)}+\frac{b \,x^{3}}{6}+\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{8}+\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right)}{2 b^{2} \left(d -1\right)}-\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(d -1\right)}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(d -1\right)}-\frac{a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b \left(d -1\right)}-\frac{a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b \left(d -1\right)}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}+1}\right)}{8}-\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \left(d -1\right)}+\frac{x^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{4}+\frac{d a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b \left(d -1\right)}-\frac{d \,a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}-1\right)}{4 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)}{8}-\frac{d \ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(d -1\right)}+\frac{d a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{d -1}\right) x}{2 b \left(d -1\right)}"," ",0,"1/4/b^2/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*a-1/2/b^2*a^2/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^2*a^2/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))+1/8/b^2*d/(d-1)*polylog(3,(d-1)*exp(2*b*x+2*a))-1/2/b^2*a/(d-1)*dilog(1-exp(b*x+a)*(d-1)^(1/2))-1/2/b^2*a/(d-1)*dilog(1+exp(b*x+a)*(d-1)^(1/2))+1/4/b^2/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*a^2+1/4/b/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*x+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^3-1/2*x^2*ln(exp(b*x+a))-1/4*x^2*ln(d)+1/4/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^2-1/8/b^2/(d-1)*polylog(3,(d-1)*exp(2*b*x+2*a))+1/4/b^2*a^2/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/6*b*x^3+1/2/b^2*d*a^2/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))-1/4*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2+1/2/b^2*d*a^2/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))+1/2/b^2*d*a/(d-1)*dilog(1-exp(b*x+a)*(d-1)^(1/2))+1/2/b^2*d*a/(d-1)*dilog(1+exp(b*x+a)*(d-1)^(1/2))-1/4/b^2*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*a^2-1/4/b*d/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*x-1/4/b^2*d/(d-1)*polylog(2,(d-1)*exp(2*b*x+2*a))*a+1/2/b/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x*a-1/2/b*a/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))*x-1/2/b*a/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))*x+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))^3+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/4*I*x^2*Pi-1/4*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^2+1/8*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3+1/4*x^2*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/2/b*d*a/(d-1)*ln(1+exp(b*x+a)*(d-1)^(1/2))*x-1/4/b^2*d*a^2/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/4*I*x^2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/8*I*x^2*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/8*I*x^2*Pi*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))-1/2/b*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x*a+1/2/b*d*a/(d-1)*ln(1-exp(b*x+a)*(d-1)^(1/2))*x-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)+1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))","C"
296,1,280,66,0.341000," ","int(-arctanh(-1+d+d*tanh(b*x+a)),x)","\frac{\arctanh \left(-1+d +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)-d \right)}{2 b}-\frac{\arctanh \left(-1+d +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)+d \right)}{2 b}+\frac{\ln \left(d \tanh \left(b x +a \right)+d \right)^{2}}{8 b}-\frac{\ln \left(-\frac{d \tanh \left(b x +a \right)}{2}-\frac{d}{2}+1\right) \ln \left(d \tanh \left(b x +a \right)+d \right)}{4 b}+\frac{\ln \left(-\frac{d \tanh \left(b x +a \right)}{2}-\frac{d}{2}+1\right) \ln \left(\frac{d \tanh \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}+\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}-\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+d}{2 d}\right)}{4 b}-\frac{\ln \left(d \tanh \left(b x +a \right)-d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+d}{2 d}\right)}{4 b}+\frac{\dilog \left(\frac{d \tanh \left(b x +a \right)+d -2}{2 d -2}\right)}{4 b}+\frac{\ln \left(d \tanh \left(b x +a \right)-d \right) \ln \left(\frac{d \tanh \left(b x +a \right)+d -2}{2 d -2}\right)}{4 b}"," ",0,"1/2/b*arctanh(-1+d+d*tanh(b*x+a))*ln(d*tanh(b*x+a)-d)-1/2/b*arctanh(-1+d+d*tanh(b*x+a))*ln(d*tanh(b*x+a)+d)+1/8/b*ln(d*tanh(b*x+a)+d)^2-1/4/b*ln(-1/2*d*tanh(b*x+a)-1/2*d+1)*ln(d*tanh(b*x+a)+d)+1/4/b*ln(-1/2*d*tanh(b*x+a)-1/2*d+1)*ln(1/2*d*tanh(b*x+a)+1/2*d)+1/4/b*dilog(1/2*d*tanh(b*x+a)+1/2*d)-1/4/b*dilog(1/2*(d*tanh(b*x+a)+d)/d)-1/4/b*ln(d*tanh(b*x+a)-d)*ln(1/2*(d*tanh(b*x+a)+d)/d)+1/4/b*dilog((d*tanh(b*x+a)+d-2)/(2*d-2))+1/4/b*ln(d*tanh(b*x+a)-d)*ln((d*tanh(b*x+a)+d-2)/(2*d-2))","B"
297,0,0,19,0.945000," ","int(-arctanh(-1+d+d*tanh(b*x+a))/x,x)","\int -\frac{\arctanh \left(-1+d +d \tanh \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(-arctanh(-1+d+d*tanh(b*x+a))/x,x)","F"
298,1,5294,277,11.710000," ","int(x^2*arctanh(c+d*coth(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
299,1,4990,209,3.602000," ","int(x*arctanh(c+d*coth(b*x+a)),x)","\text{output too large to display}"," ",0,"-1/4/b^2*a^2/(1+c+d)*ln(c*exp(2*b*x+2*a)+d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-c+d-1)+1/8/b^2/(1+c+d)*polylog(3,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))-1/8*I*Pi*x^2*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1)/(exp(2*b*x+2*a)-1))^3+1/4*I*Pi*x^2*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1)/(exp(2*b*x+2*a)-1))^2-1/8*I*Pi*x^2*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1)/(exp(2*b*x+2*a)-1))^3-1/4/b^2*a^2/(c+d-1)*ln(c*exp(2*b*x+2*a)+d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-c+d+1)-1/4*I*Pi*x^2-1/4/b^2/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*a^2-1/4/b^2/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*a+1/2/b^2*a^2/(1+c+d)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a^2/(1+c+d)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/8/b^2*d/(1+c+d)*polylog(3,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))+1/8/b^2*c/(1+c+d)*polylog(3,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))+1/2/b^2*a/(1+c+d)*dilog((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a/(1+c+d)*dilog((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))-1/4/b/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x-1/4*d/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x^2-1/4*c/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x^2+1/4*x^2*ln((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1)+1/4/b*c/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x+1/4/b^2*c/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*a+1/4/b^2*d/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*a^2+1/4/b*d/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x+1/4/b^2*d/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*a-1/2/b/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x*a+1/2/b*a/(c+d-1)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))*x-1/4/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x^2+1/4*d/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x^2-1/8/b^2*c/(c+d-1)*polylog(3,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))-1/8/b^2*d/(c+d-1)*polylog(3,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))+1/2/b^2*a/(c+d-1)*dilog((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))+1/2/b^2*a/(c+d-1)*dilog((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/4/b^2/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*a^2-1/4/b/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x-1/4/b^2/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*a+1/2/b^2*a^2/(c+d-1)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))+1/2/b^2*a^2/(c+d-1)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))+1/4*c/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x^2-1/4/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x^2+1/8/b^2/(c+d-1)*polylog(3,(c+d-1)*exp(2*b*x+2*a)/(c-d-1))-1/4*x^2*ln((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1)-1/2/b*c*a/(c+d-1)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))*x-1/2/b*d*a/(c+d-1)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))*x-1/2/b*d*a/(c+d-1)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))*x+1/2/b*c/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x*a+1/2/b*d/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*x*a-1/2/b*c*a/(c+d-1)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))*x+1/2/b^2*a*c/(1+c+d)*dilog((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a*c/(1+c+d)*dilog((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a*d/(1+c+d)*dilog((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a*d/(1+c+d)*dilog((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))-1/2/b/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x*a+1/2/b*a/(1+c+d)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))*x-1/4/b^2*d/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*a^2+1/4/b^2*c/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(c-d-1))*a^2-1/4/b^2*a^2*d/(1+c+d)*ln(c*exp(2*b*x+2*a)+d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-c+d-1)-1/4/b^2*a^2*c/(1+c+d)*ln(c*exp(2*b*x+2*a)+d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-c+d-1)-1/2/b*d/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x*a-1/2/b*c/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x*a+1/2/b*a/(c+d-1)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))*x-1/2/b^2*c*a^2/(c+d-1)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*c*a^2/(c+d-1)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*d*a^2/(c+d-1)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*d*a^2/(c+d-1)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*c*a/(c+d-1)*dilog((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*c*a/(c+d-1)*dilog((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*d*a/(c+d-1)*dilog((-c*exp(b*x+a)-exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)+exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/2/b^2*d*a/(c+d-1)*dilog((c*exp(b*x+a)+exp(b*x+a)*d+((c-d-1)*(c+d-1))^(1/2)-exp(b*x+a))/((c-d-1)*(c+d-1))^(1/2))-1/8*I*Pi*x^2*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1)/(exp(2*b*x+2*a)-1))^2-1/8*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1)/(exp(2*b*x+2*a)-1))^2+1/8*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1)/(exp(2*b*x+2*a)-1))^2-1/8*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1)/(exp(2*b*x+2*a)-1))+1/8*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d-exp(2*b*x+2*a)+1)/(exp(2*b*x+2*a)-1))+1/4/b^2*d*a^2/(c+d-1)*ln(c*exp(2*b*x+2*a)+d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-c+d+1)+1/2/b*a/(1+c+d)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))*x-1/4/b*d/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x-1/4/b*c/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*x-1/4/b^2*d/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*a-1/4/b^2*c/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*a^2-1/4/b^2*c/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))*a+1/2/b^2*a^2*c/(1+c+d)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a^2*c/(1+c+d)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a^2*d/(1+c+d)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b^2*a^2*d/(1+c+d)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))+1/2/b*a*c/(1+c+d)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))*x+1/2/b*a*c/(1+c+d)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))*x+1/2/b*a*d/(1+c+d)*ln((-c*exp(b*x+a)-exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)-exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))*x+1/2/b*a*d/(1+c+d)*ln((c*exp(b*x+a)+exp(b*x+a)*d+((1+c-d)*(1+c+d))^(1/2)+exp(b*x+a))/((1+c-d)*(1+c+d))^(1/2))*x+1/8*I*Pi*x^2*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1))*csgn(I*((exp(2*b*x+2*a)-1)*c+(exp(2*b*x+2*a)+1)*d+exp(2*b*x+2*a)-1)/(exp(2*b*x+2*a)-1))^2+1/4/b^2*c*a^2/(c+d-1)*ln(c*exp(2*b*x+2*a)+d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-c+d+1)","C"
300,1,306,138,0.348000," ","int(arctanh(c+d*coth(b*x+a)),x)","-\frac{\arctanh \left(c +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)-d \right)}{2 b}+\frac{\arctanh \left(c +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)+d \right)}{2 b}+\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+c -1}{c -d -1}\right)}{4 b}+\frac{\ln \left(d \coth \left(b x +a \right)+d \right) \ln \left(\frac{d \coth \left(b x +a \right)+c -1}{c -d -1}\right)}{4 b}-\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+c +1}{1+c -d}\right)}{4 b}-\frac{\ln \left(d \coth \left(b x +a \right)+d \right) \ln \left(\frac{d \coth \left(b x +a \right)+c +1}{1+c -d}\right)}{4 b}+\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+c +1}{1+c +d}\right)}{4 b}+\frac{\ln \left(d \coth \left(b x +a \right)-d \right) \ln \left(\frac{d \coth \left(b x +a \right)+c +1}{1+c +d}\right)}{4 b}-\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+c -1}{c +d -1}\right)}{4 b}-\frac{\ln \left(d \coth \left(b x +a \right)-d \right) \ln \left(\frac{d \coth \left(b x +a \right)+c -1}{c +d -1}\right)}{4 b}"," ",0,"-1/2/b*arctanh(c+d*coth(b*x+a))*ln(d*coth(b*x+a)-d)+1/2/b*arctanh(c+d*coth(b*x+a))*ln(d*coth(b*x+a)+d)+1/4/b*dilog((d*coth(b*x+a)+c-1)/(c-d-1))+1/4/b*ln(d*coth(b*x+a)+d)*ln((d*coth(b*x+a)+c-1)/(c-d-1))-1/4/b*dilog((d*coth(b*x+a)+c+1)/(1+c-d))-1/4/b*ln(d*coth(b*x+a)+d)*ln((d*coth(b*x+a)+c+1)/(1+c-d))+1/4/b*dilog((d*coth(b*x+a)+c+1)/(1+c+d))+1/4/b*ln(d*coth(b*x+a)-d)*ln((d*coth(b*x+a)+c+1)/(1+c+d))-1/4/b*dilog((d*coth(b*x+a)+c-1)/(c+d-1))-1/4/b*ln(d*coth(b*x+a)-d)*ln((d*coth(b*x+a)+c-1)/(c+d-1))","B"
301,0,0,17,0.571000," ","int(arctanh(c+d*coth(b*x+a))/x,x)","\int \frac{\arctanh \left(c +d \coth \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(c+d*coth(b*x+a))/x,x)","F"
302,1,1741,133,5.187000," ","int(x^3*arctanh(1+d+d*coth(b*x+a)),x)","\frac{3 d \polylog \left(5, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(1+d \right)}+\frac{a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}+\frac{a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}-\frac{\polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(1+d \right)}-\frac{\polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(1+d \right)}+\frac{3 \polylog \left(3, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(1+d \right)}-\frac{3 \polylog \left(4, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(1+d \right)}-\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{16}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{16}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{16}-\frac{i x^{4} \pi}{8}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 \left(1+d \right)}+\frac{d \,a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}+\frac{d \,a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}-\frac{d \polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(1+d \right)}-\frac{d \polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(1+d \right)}+\frac{3 d \polylog \left(3, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(1+d \right)}-\frac{3 d \polylog \left(4, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(1+d \right)}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}+\frac{a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}+\frac{a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}-\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 \left(1+d \right)}-\frac{3 \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(1+d \right)}+\frac{b \,x^{5}}{20}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{d \,a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{8 b^{4} \left(1+d \right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{8}+\frac{x^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{8}+\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{3} \left(1+d \right)}+\frac{d \,a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}+\frac{d \,a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{4} \left(1+d \right)}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(1+d \right)}-\frac{3 d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(1+d \right)}+\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{3} \left(1+d \right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{16}-\frac{x^{4} \ln \left({\mathrm e}^{b x +a}\right)}{4}-\frac{x^{4} \ln \left(d \right)}{8}+\frac{3 \polylog \left(5, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(1+d \right)}-\frac{a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{8 b^{4} \left(1+d \right)}+\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{3} \left(1+d \right)}-\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(1+d \right)}+\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{3} \left(1+d \right)}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)}{16}"," ",0,"1/16*I*x^4*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^2-1/16*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3+3/16/b^4/(1+d)*polylog(5,(1+d)*exp(2*b*x+2*a))-1/8/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x^4-1/8*I*x^4*Pi+1/2/b^4*a^4/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^4*a^4/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))-1/8*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x^4+3/16/b^4*d/(1+d)*polylog(5,(1+d)*exp(2*b*x+2*a))+1/2/b^4*a^3/(1+d)*dilog(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^4*a^3/(1+d)*dilog(1+exp(b*x+a)*(1+d)^(1/2))-1/4/b/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*x^3-1/4/b^4/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*a^3+3/8/b^2/(1+d)*polylog(3,(1+d)*exp(2*b*x+2*a))*x^2-3/8/b^3/(1+d)*polylog(4,(1+d)*exp(2*b*x+2*a))*x-3/8/b^4/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*a^4+1/20*b*x^5-1/8/b^4*d*a^4/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))^3+1/8*x^4*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+1/2/b^3*a^3/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+1/2/b^4*d*a^3/(1+d)*dilog(1+exp(b*x+a)*(1+d)^(1/2))+1/2/b^4*d*a^3/(1+d)*dilog(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^4*d*a^4/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^4*d*a^4/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))-1/2/b^3/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x*a^3-3/8/b^4*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*a^4-1/4/b*d/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*x^3-1/4/b^4*d/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*a^3+3/8/b^2*d/(1+d)*polylog(3,(1+d)*exp(2*b*x+2*a))*x^2-3/8/b^3*d/(1+d)*polylog(4,(1+d)*exp(2*b*x+2*a))*x+1/2/b^3*a^3/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))*x-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/16*I*x^4*Pi*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^2+1/8*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^3-1/4*x^4*ln(exp(b*x+a))-1/8*x^4*ln(d)-1/8/b^4*a^4/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)-1/8*I*x^4*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/2/b^3*d*a^3/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x-1/2/b^3*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x*a^3+1/2/b^3*d*a^3/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))*x+1/16*I*x^4*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))","C"
303,1,1684,110,4.672000," ","int(x^2*arctanh(1+d+d*coth(b*x+a)),x)","\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{x^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{6}-\frac{\polylog \left(4, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(1+d \right)}-\frac{i \pi  \,x^{3}}{6}+\frac{a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{6 b^{3} \left(1+d \right)}+\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{6}+\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(1+d \right)}-\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(1+d \right)}-\frac{\polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(1+d \right)}+\frac{\polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(1+d \right)}+\frac{\polylog \left(3, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(1+d \right)}-\frac{d \polylog \left(4, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(1+d \right)}-\frac{a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{6}-\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{12}+\frac{b \,x^{4}}{12}-\frac{x^{3} \ln \left({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{6}-\frac{d \,a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{d \,a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{d \polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(1+d \right)}+\frac{d \polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(1+d \right)}+\frac{d \polylog \left(3, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(1+d \right)}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}-\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{2} \left(1+d \right)}-\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{2} \left(1+d \right)}-\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{3} \left(1+d \right)}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(1+d \right)}-\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{12}+\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(1+d \right)}+\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(1+d \right)}+\frac{d \,a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{6 b^{3} \left(1+d \right)}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{12}-\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{2} \left(1+d \right)}-\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{2} \left(1+d \right)}+\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(1+d \right)}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)}{12}"," ",0,"1/6*x^3*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+1/6*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/6/b^3*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+1/12*I*x^3*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/6*I*x^3*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/12*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3-1/6*I*Pi*x^3+1/3/b^3/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*a^3-1/4/b/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*x^2+1/4/b^3/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*a^2+1/4/b^2/(1+d)*polylog(3,(1+d)*exp(2*b*x+2*a))*x-1/2/b^3*a^3/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))-1/2/b^3*a^3/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))-1/8/b^3*d/(1+d)*polylog(4,(1+d)*exp(2*b*x+2*a))-1/2/b^3*a^2/(1+d)*dilog(1-exp(b*x+a)*(1+d)^(1/2))-1/2/b^3*a^2/(1+d)*dilog(1+exp(b*x+a)*(1+d)^(1/2))-1/6*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x^3-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/12*I*x^3*Pi*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^2-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/12*b*x^4-1/3*x^3*ln(exp(b*x+a))-1/6*x^3*ln(d)-1/2/b^2*a^2/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))*x-1/2/b^2*a^2/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x-1/2/b^3*d*a^3/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))-1/2/b^3*d*a^3/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))-1/2/b^3*d*a^2/(1+d)*dilog(1-exp(b*x+a)*(1+d)^(1/2))-1/2/b^3*d*a^2/(1+d)*dilog(1+exp(b*x+a)*(1+d)^(1/2))+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))^3-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/6/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x^3-1/8/b^3/(1+d)*polylog(4,(1+d)*exp(2*b*x+2*a))-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^3+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+1/2/b^2/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x*a^2+1/3/b^3*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*a^3-1/4/b*d/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*x^2+1/4/b^3*d/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*a^2+1/4/b^2*d/(1+d)*polylog(3,(1+d)*exp(2*b*x+2*a))*x+1/6/b^3*d*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^2-1/2/b^2*d*a^2/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))*x-1/2/b^2*d*a^2/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x+1/2/b^2*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x*a^2+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))","C"
304,1,1603,87,4.347000," ","int(x*arctanh(1+d+d*coth(b*x+a)),x)","-\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \left(1+d \right)}+\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}+\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(1+d \right)}-\frac{i \pi  \,x^{2}}{4}-\frac{\polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(1+d \right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{4}-\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{8}-\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{8}-\frac{x^{2} \ln \left({\mathrm e}^{b x +a}\right)}{2}-\frac{x^{2} \ln \left(d \right)}{4}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{4}+\frac{b \,x^{3}}{6}-\frac{d \polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(1+d \right)}-\frac{d \polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(1+d \right)}+\frac{d a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}+\frac{d a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}+\frac{d \polylog \left(3, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(1+d \right)}+\frac{a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}+\frac{a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}-\frac{\polylog \left(2, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(1+d \right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{8}-\frac{d \,a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{4 b^{2} \left(1+d \right)}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \left(1+d \right)}-\frac{a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{4 b^{2} \left(1+d \right)}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(1+d \right)}-\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(1+d \right)}+\frac{a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b \left(1+d \right)}+\frac{a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b \left(1+d \right)}+\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}+\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right)}{2 b^{2} \left(1+d \right)}+\frac{\polylog \left(3, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(1+d \right)}+\frac{x^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{4}+\frac{d a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b \left(1+d \right)}+\frac{d a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b \left(1+d \right)}-\frac{d \ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(1+d \right)}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{8}"," ",0,"-1/4*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x^2+1/8/b^2*d/(1+d)*polylog(3,(1+d)*exp(2*b*x+2*a))+1/2/b^2*a^2/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^2*a^2/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))+1/2/b^2*a/(1+d)*dilog(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^2*a/(1+d)*dilog(1+exp(b*x+a)*(1+d)^(1/2))-1/4/b^2/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*a^2-1/4/b/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*x-1/4/b^2/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*a-1/2*x^2*ln(exp(b*x+a))-1/4*x^2*ln(d)+1/6*b*x^3-1/4/b^2*d*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)-1/4/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x^2+1/8/b^2/(1+d)*polylog(3,(1+d)*exp(2*b*x+2*a))-1/4/b^2*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)-1/4*I*Pi*x^2-1/2/b/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x*a-1/4/b^2*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*a^2-1/4/b*d/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*x-1/4/b^2*d/(1+d)*polylog(2,(1+d)*exp(2*b*x+2*a))*a+1/2/b*a/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))*x+1/2/b*a/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x+1/2/b^2*d*a^2/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))+1/2/b^2*d*a^2/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))+1/2/b^2*d*a/(1+d)*dilog(1-exp(b*x+a)*(1+d)^(1/2))+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))^3+1/4*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/2/b^2*d*a/(1+d)*dilog(1+exp(b*x+a)*(1+d)^(1/2))-1/8*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/4*x^2*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^3+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+1/8*I*x^2*Pi*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))^2-1/4*I*x^2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/8*I*x^2*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/2/b*d*a/(1+d)*ln(1-exp(b*x+a)*(1+d)^(1/2))*x+1/2/b*d*a/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x-1/2/b*d/(1+d)*ln(1-(1+d)*exp(2*b*x+2*a))*x*a-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1))+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))","C"
305,1,247,61,0.432000," ","int(arctanh(1+d+d*coth(b*x+a)),x)","\frac{\arctanh \left(1+d +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)+d \right)}{2 b}-\frac{\arctanh \left(1+d +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)-d \right)}{2 b}+\frac{\ln \left(d \coth \left(b x +a \right)+d \right)^{2}}{8 b}-\frac{\dilog \left(1+\frac{d \coth \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}-\frac{\ln \left(d \coth \left(b x +a \right)+d \right) \ln \left(1+\frac{d \coth \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}-\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+d}{2 d}\right)}{4 b}-\frac{\ln \left(d \coth \left(b x +a \right)-d \right) \ln \left(\frac{d \coth \left(b x +a \right)+d}{2 d}\right)}{4 b}+\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+d +2}{2 d +2}\right)}{4 b}+\frac{\ln \left(d \coth \left(b x +a \right)-d \right) \ln \left(\frac{d \coth \left(b x +a \right)+d +2}{2 d +2}\right)}{4 b}"," ",0,"1/2/b*arctanh(1+d+d*coth(b*x+a))*ln(d*coth(b*x+a)+d)-1/2/b*arctanh(1+d+d*coth(b*x+a))*ln(d*coth(b*x+a)-d)+1/8/b*ln(d*coth(b*x+a)+d)^2-1/4/b*dilog(1+1/2*d*coth(b*x+a)+1/2*d)-1/4/b*ln(d*coth(b*x+a)+d)*ln(1+1/2*d*coth(b*x+a)+1/2*d)-1/4/b*dilog(1/2*(d*coth(b*x+a)+d)/d)-1/4/b*ln(d*coth(b*x+a)-d)*ln(1/2*(d*coth(b*x+a)+d)/d)+1/4/b*dilog((d*coth(b*x+a)+d+2)/(2*d+2))+1/4/b*ln(d*coth(b*x+a)-d)*ln((d*coth(b*x+a)+d+2)/(2*d+2))","B"
306,0,0,18,0.985000," ","int(arctanh(1+d+d*coth(b*x+a))/x,x)","\int \frac{\arctanh \left(1+d +d \coth \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(1+d+d*coth(b*x+a))/x,x)","F"
307,1,1801,143,4.852000," ","int(-x^3*arctanh(-1+d+d*coth(b*x+a)),x)","\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 d -8}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{16}+\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(d -1\right)}-\frac{3 d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(d -1\right)}-\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{3} \left(d -1\right)}-\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{3} \left(d -1\right)}+\frac{i x^{4} \pi}{8}+\frac{b \,x^{5}}{20}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}+\frac{a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{8 b^{4} \left(d -1\right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{16}+\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{16}+\frac{d \,a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}+\frac{d \,a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{8}-\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 \left(d -1\right)}+\frac{3 \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{4}}{8 b^{4} \left(d -1\right)}-\frac{a^{4} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}-\frac{a^{4} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}-\frac{i x^{4} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}+\frac{i x^{4} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{16}-\frac{x^{4} \ln \left({\mathrm e}^{b x +a}\right)}{4}-\frac{x^{4} \ln \left(d \right)}{8}+\frac{x^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{8}+\frac{3 \polylog \left(4, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(d -1\right)}+\frac{\polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(d -1\right)}+\frac{\polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(d -1\right)}-\frac{3 \polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(d -1\right)}-\frac{a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}-\frac{a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}+\frac{3 d \polylog \left(5, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(d -1\right)}-\frac{3 \polylog \left(5, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(d -1\right)}-\frac{d \,a^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{8 b^{4} \left(d -1\right)}+\frac{d \,a^{3} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}+\frac{d \,a^{3} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{4} \left(d -1\right)}-\frac{d \polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{4 b \left(d -1\right)}-\frac{d \polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{4 b^{4} \left(d -1\right)}+\frac{3 d \polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{8 b^{2} \left(d -1\right)}-\frac{3 d \polylog \left(4, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{8 b^{3} \left(d -1\right)}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{16}-\frac{i x^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{16}+\frac{i x^{4} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{16}+\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{3} \left(d -1\right)}-\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{3}}{2 b^{3} \left(d -1\right)}+\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{3} \left(d -1\right)}"," ",0,"1/16*I*x^4*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/2/b^4*d*a^3/(d-1)*dilog(1+exp(b*x+a)*(1-d)^(1/2))+1/2/b^4*d*a^3/(d-1)*dilog(1-exp(b*x+a)*(1-d)^(1/2))+1/2/b^3/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x*a^3-3/8/b^4*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*a^4-1/4/b*d/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*x^3-1/4/b^4*d/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*a^3+3/8/b^2*d/(d-1)*polylog(3,-(d-1)*exp(2*b*x+2*a))*x^2-3/8/b^3*d/(d-1)*polylog(4,-(d-1)*exp(2*b*x+2*a))*x-1/2/b^3*a^3/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))*x-1/2/b^3*a^3/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/20*b*x^5+1/8/b^4*a^4/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))^3+1/8*I*x^4*Pi+1/2/b^4*d*a^4/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))+1/2/b^4*d*a^4/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))-1/8*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2+1/16*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3-1/8*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x^4+3/8/b^3/(d-1)*polylog(4,-(d-1)*exp(2*b*x+2*a))*x+3/8/b^4/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*a^4+1/4/b/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*x^3+1/4/b^4/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*a^3-3/8/b^2/(d-1)*polylog(3,-(d-1)*exp(2*b*x+2*a))*x^2-1/2/b^4*a^4/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))-1/2/b^4*a^4/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))-1/2/b^4*a^3/(d-1)*dilog(1+exp(b*x+a)*(1-d)^(1/2))-1/2/b^4*a^3/(d-1)*dilog(1-exp(b*x+a)*(1-d)^(1/2))+3/16/b^4*d/(d-1)*polylog(5,-(d-1)*exp(2*b*x+2*a))+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+1/8/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x^4-3/16/b^4/(d-1)*polylog(5,-(d-1)*exp(2*b*x+2*a))-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^3-1/4*x^4*ln(exp(b*x+a))-1/8*x^4*ln(d)+1/8*x^4*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)-1/8*I*x^4*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/8/b^4*d*a^4/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)-1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/16*I*x^4*Pi*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2+1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2-1/16*I*x^4*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/16*I*x^4*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))+1/16*I*x^4*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))+1/2/b^3*d*a^3/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x-1/2/b^3*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x*a^3+1/2/b^3*d*a^3/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))*x","C"
308,1,1742,118,4.869000," ","int(-x^2*arctanh(-1+d+d*coth(b*x+a)),x)","\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{x^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{6}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{6}-\frac{a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{6 b^{3} \left(d -1\right)}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{12}+\frac{a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}+\frac{a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{12}-\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{6}+\frac{i x^{3} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{12}+\frac{b \,x^{4}}{12}-\frac{x^{3} \ln \left({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{6}+\frac{i x^{3} \pi}{6}+\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 d -6}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{\polylog \left(4, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(d -1\right)}-\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(d -1\right)}+\frac{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}+\frac{a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(d -1\right)}+\frac{\polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(d -1\right)}-\frac{\polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(d -1\right)}-\frac{\polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(d -1\right)}-\frac{d \polylog \left(4, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(d -1\right)}-\frac{d \,a^{2} \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \,a^{2} \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 b \left(d -1\right)}+\frac{d \polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{3} \left(d -1\right)}+\frac{d \polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b^{2} \left(d -1\right)}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{12}+\frac{i x^{3} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{12}+\frac{d \,a^{3} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{6 b^{3} \left(d -1\right)}+\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{3}}{3 b^{3} \left(d -1\right)}-\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(d -1\right)}+\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{2} \left(d -1\right)}+\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{2} \left(d -1\right)}-\frac{d \,a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}-\frac{d \,a^{3} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{3} \left(d -1\right)}+\frac{i x^{3} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{12}+\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x \,a^{2}}{2 b^{2} \left(d -1\right)}-\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{2} \left(d -1\right)}-\frac{i x^{3} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)}{12}-\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b^{2} \left(d -1\right)}"," ",0,"1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2+1/6*x^3*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)+1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^3-1/6/b^3*a^3/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)-1/6*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+1/6*I*x^3*Pi+1/12*b*x^4+1/12*I*x^3*Pi*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2+1/12*I*x^3*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))^3-1/3*x^3*ln(exp(b*x+a))-1/6*x^3*ln(d)+1/6/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x^3+1/8/b^3/(d-1)*polylog(4,-(d-1)*exp(2*b*x+2*a))-1/6*I*x^3*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/3/b^3/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*a^3+1/4/b/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*x^2-1/4/b^3/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*a^2-1/4/b^2/(d-1)*polylog(3,-(d-1)*exp(2*b*x+2*a))*x+1/2/b^3*a^3/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))+1/2/b^3*a^3/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))-1/8/b^3*d/(d-1)*polylog(4,-(d-1)*exp(2*b*x+2*a))+1/2/b^3*a^2/(d-1)*dilog(1+exp(b*x+a)*(1-d)^(1/2))+1/2/b^3*a^2/(d-1)*dilog(1-exp(b*x+a)*(1-d)^(1/2))-1/6*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x^3+1/12*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/6/b^3*d*a^3/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)-1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2-1/2/b^3*d*a^2/(d-1)*dilog(1+exp(b*x+a)*(1-d)^(1/2))-1/2/b^3*d*a^2/(d-1)*dilog(1-exp(b*x+a)*(1-d)^(1/2))+1/3/b^3*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*a^3-1/4/b*d/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*x^2+1/4/b^3*d/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*a^2+1/4/b^2*d/(d-1)*polylog(3,-(d-1)*exp(2*b*x+2*a))*x-1/2/b^2/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x*a^2+1/2/b^2*a^2/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))*x+1/2/b^2*a^2/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x-1/2/b^3*d*a^3/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))-1/2/b^3*d*a^3/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))+1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))+1/2/b^2*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x*a^2-1/2/b^2*d*a^2/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))*x-1/12*I*x^3*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))-1/2/b^2*d*a^2/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x","C"
309,1,1659,93,4.375000," ","int(-x*arctanh(-1+d+d*coth(b*x+a)),x)","\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 d -4}+\frac{i \pi  \,x^{2}}{4}-\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{8}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{8}-\frac{x^{2} \ln \left({\mathrm e}^{b x +a}\right)}{2}-\frac{x^{2} \ln \left(d \right)}{4}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{4}+\frac{x^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{4}+\frac{b \,x^{3}}{6}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}+\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(d -1\right)}-\frac{a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b \left(d -1\right)}-\frac{a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b \left(d -1\right)}+\frac{d \,a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}+\frac{d \,a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{8}+\frac{a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{4 b^{2} \left(d -1\right)}-\frac{\polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(d -1\right)}+\frac{\polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(d -1\right)}+\frac{\polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(d -1\right)}+\frac{d \polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(d -1\right)}-\frac{a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}-\frac{a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{3}}{8}-\frac{i x^{2} \pi  \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{4}+\frac{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a^{2}}{4 b^{2} \left(d -1\right)}-\frac{a^{2} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}-\frac{a^{2} \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}-\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \left(d -1\right)}-\frac{d \polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x}{4 b \left(d -1\right)}-\frac{d \polylog \left(2, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) a}{4 b^{2} \left(d -1\right)}+\frac{d a \dilog \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}+\frac{d a \dilog \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right)}{2 b^{2} \left(d -1\right)}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{8}-\frac{d \,a^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{4 b^{2} \left(d -1\right)}+\frac{d a \ln \left(1-{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b \left(d -1\right)}-\frac{d \ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x a}{2 b \left(d -1\right)}+\frac{d a \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1-d}\right) x}{2 b \left(d -1\right)}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{8}+\frac{i x^{2} \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(\frac{i d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)}{8}-\frac{i x^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}-1}\right) \mathrm{csgn}\left(i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{{\mathrm e}^{2 b x +2 a}-1}\right)}{8}"," ",0,"1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^3-1/4/b^2*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*a^2-1/8/b^2/(d-1)*polylog(3,-(d-1)*exp(2*b*x+2*a))+1/4/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x^2-1/2*x^2*ln(exp(b*x+a))-1/4*x^2*ln(d)+1/4*x^2*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)+1/6*b*x^3+1/8*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3-1/4/b*d/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*x-1/4/b^2*d/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*a+1/2/b/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x*a-1/2/b*a/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))*x-1/2/b*a/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x+1/2/b^2*d*a^2/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))+1/2/b^2*d*a^2/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))+1/2/b^2*d*a/(d-1)*dilog(1+exp(b*x+a)*(1-d)^(1/2))+1/2/b^2*d*a/(d-1)*dilog(1-exp(b*x+a)*(1-d)^(1/2))+1/4/b^2*a^2/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))^3+1/4*I*x^2*Pi-1/4*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2+1/4/b^2/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*a^2+1/4/b/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*x+1/4/b^2/(d-1)*polylog(2,-(d-1)*exp(2*b*x+2*a))*a-1/2/b^2*a^2/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))-1/2/b^2*a^2/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))-1/4*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x^2+1/8/b^2*d/(d-1)*polylog(3,-(d-1)*exp(2*b*x+2*a))-1/2/b^2*a/(d-1)*dilog(1+exp(b*x+a)*(1-d)^(1/2))-1/2/b^2*a/(d-1)*dilog(1-exp(b*x+a)*(1-d)^(1/2))-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+1/8*I*x^2*Pi*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2-1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^2-1/4/b^2*d*a^2/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)+1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^2-1/4*I*x^2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/8*I*x^2*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/2/b*d*a/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x-1/2/b*d/(d-1)*ln(1+(d-1)*exp(2*b*x+2*a))*x*a+1/2/b*d*a/(d-1)*ln(1+exp(b*x+a)*(1-d)^(1/2))*x+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))-1/8*I*x^2*Pi*csgn(I/(exp(2*b*x+2*a)-1))*csgn(I*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))*csgn(I/(exp(2*b*x+2*a)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))","C"
310,1,280,66,0.450000," ","int(-arctanh(-1+d+d*coth(b*x+a)),x)","\frac{\arctanh \left(-1+d +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)-d \right)}{2 b}-\frac{\arctanh \left(-1+d +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)+d \right)}{2 b}+\frac{\ln \left(d \coth \left(b x +a \right)+d \right)^{2}}{8 b}-\frac{\ln \left(-\frac{d \coth \left(b x +a \right)}{2}-\frac{d}{2}+1\right) \ln \left(d \coth \left(b x +a \right)+d \right)}{4 b}+\frac{\ln \left(-\frac{d \coth \left(b x +a \right)}{2}-\frac{d}{2}+1\right) \ln \left(\frac{d \coth \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}+\frac{\dilog \left(\frac{d \coth \left(b x +a \right)}{2}+\frac{d}{2}\right)}{4 b}+\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+d -2}{2 d -2}\right)}{4 b}+\frac{\ln \left(d \coth \left(b x +a \right)-d \right) \ln \left(\frac{d \coth \left(b x +a \right)+d -2}{2 d -2}\right)}{4 b}-\frac{\dilog \left(\frac{d \coth \left(b x +a \right)+d}{2 d}\right)}{4 b}-\frac{\ln \left(d \coth \left(b x +a \right)-d \right) \ln \left(\frac{d \coth \left(b x +a \right)+d}{2 d}\right)}{4 b}"," ",0,"1/2/b*arctanh(-1+d+d*coth(b*x+a))*ln(d*coth(b*x+a)-d)-1/2/b*arctanh(-1+d+d*coth(b*x+a))*ln(d*coth(b*x+a)+d)+1/8/b*ln(d*coth(b*x+a)+d)^2-1/4/b*ln(-1/2*d*coth(b*x+a)-1/2*d+1)*ln(d*coth(b*x+a)+d)+1/4/b*ln(-1/2*d*coth(b*x+a)-1/2*d+1)*ln(1/2*d*coth(b*x+a)+1/2*d)+1/4/b*dilog(1/2*d*coth(b*x+a)+1/2*d)+1/4/b*dilog((d*coth(b*x+a)+d-2)/(2*d-2))+1/4/b*ln(d*coth(b*x+a)-d)*ln((d*coth(b*x+a)+d-2)/(2*d-2))-1/4/b*dilog(1/2*(d*coth(b*x+a)+d)/d)-1/4/b*ln(d*coth(b*x+a)-d)*ln(1/2*(d*coth(b*x+a)+d)/d)","B"
311,0,0,19,0.954000," ","int(-arctanh(-1+d+d*coth(b*x+a))/x,x)","\int -\frac{\arctanh \left(-1+d +d \coth \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(-arctanh(-1+d+d*coth(b*x+a))/x,x)","F"
312,1,7429,251,43.609000," ","int((f*x+e)^3*arctanh(tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
313,1,5543,193,31.862000," ","int((f*x+e)^2*arctanh(tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
314,1,2543,133,4.038000," ","int((f*x+e)*arctanh(tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/2*(1/2*f*x^2+e*x)*ln(exp(2*I*(b*x+a))+I)+1/4/b^2*f*(I*b*x+I*a)^2*ln(1-I*exp(2*I*(b*x+a)))+1/4/b^2*f*(I*b*x+I*a)*polylog(2,I*exp(2*I*(b*x+a)))-1/4*ln(exp(2*I*(b*x+a))-I)*x^2*f-1/2*ln(exp(2*I*(b*x+a))-I)*x*e+1/8*f*polylog(3,-I*exp(2*I*(b*x+a)))/b^2-1/8*f*polylog(3,I*exp(2*I*(b*x+a)))/b^2-1/2*I/b*e*dilog(1+exp(I*(b*x+a))*(-1)^(3/4))-1/2*I/b*e*dilog(1-exp(I*(b*x+a))*(-1)^(3/4))-1/4*I*Pi*x*e*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))+1/2*I/b*e*dilog(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))+1/2*I/b*e*dilog(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))-1/2/b*a*e*ln(-exp(2*I*(b*x+a))+I)+1/2/b*a*e*ln(exp(2*I*(b*x+a))+I)-1/4/b^2*a^2*f*ln(exp(2*I*(b*x+a))+I)-1/4/b^2*f*(I*b*x+I*a)^2*ln(1+I*exp(2*I*(b*x+a)))-1/4/b^2*f*(I*b*x+I*a)*polylog(2,-I*exp(2*I*(b*x+a)))+1/4/b^2*a^2*f*ln(-exp(2*I*(b*x+a))+I)+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))*x^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2-1/4*I*Pi*x*e*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3*x^2-1/8*I*Pi*f*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^3*x^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^3-1/8*I*Pi*f*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3*x^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^3*x^2+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2*x^2-1/8*I*Pi*f*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2*x^2+1/2*I/b^2*f*a*(I*b*x+I*a)*ln(1+exp(I*(b*x+a))*(-1)^(3/4))+1/2*I/b^2*f*a*(I*b*x+I*a)*ln(1-exp(I*(b*x+a))*(-1)^(3/4))+1/2*I/b*e*(I*b*x+I*a)*ln(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))+1/8*I*Pi*f*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2*x^2+1/2*I/b^2*f*a*dilog(1-exp(I*(b*x+a))*(-1)^(3/4))+1/2*I/b*e*(I*b*x+I*a)*ln(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))+1/8*I*Pi*f*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*x^2+1/4*I*Pi*x*e*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2*x^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2*x^2-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*x^2+1/2*I/b^2*f*a*dilog(1+exp(I*(b*x+a))*(-1)^(3/4))-1/8*I*Pi*f*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))*x^2-1/2*I/b^2*f*a*dilog(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b^2*f*a*(I*b*x+I*a)*ln(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b^2*f*a*(I*b*x+I*a)*ln(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))-1/4*I*Pi*x*e*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^3+1/8*I*Pi*f*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2*x^2+1/4*I*Pi*x*e*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2+1/4*I*Pi*x*e*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2-1/8*I*Pi*f*x^2-1/4*I*Pi*x*e-1/2*I/b^2*f*a*dilog(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b*e*(I*b*x+I*a)*ln(1+exp(I*(b*x+a))*(-1)^(3/4))-1/2*I/b*e*(I*b*x+I*a)*ln(1-exp(I*(b*x+a))*(-1)^(3/4))+1/4*I*Pi*x*e*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2+1/8*I*Pi*f*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2*x^2+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+1))^2*x^2-1/4*I*Pi*x*e*csgn((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3","C"
315,1,180,64,0.499000," ","int(arctanh(tan(b*x+a)),x)","\frac{\arctan \left(\tan \left(b x +a \right)\right) \arctanh \left(\tan \left(b x +a \right)\right)}{b}+\frac{\arctan \left(\tan \left(b x +a \right)\right) \ln \left(1+\frac{i \left(1+i \tan \left(b x +a \right)\right)^{2}}{1+\tan^{2}\left(b x +a \right)}\right)}{2 b}-\frac{\arctan \left(\tan \left(b x +a \right)\right) \ln \left(1-\frac{i \left(1+i \tan \left(b x +a \right)\right)^{2}}{1+\tan^{2}\left(b x +a \right)}\right)}{2 b}-\frac{i \dilog \left(1+\frac{i \left(1+i \tan \left(b x +a \right)\right)^{2}}{1+\tan^{2}\left(b x +a \right)}\right)}{4 b}+\frac{i \dilog \left(1-\frac{i \left(1+i \tan \left(b x +a \right)\right)^{2}}{1+\tan^{2}\left(b x +a \right)}\right)}{4 b}"," ",0,"1/b*arctan(tan(b*x+a))*arctanh(tan(b*x+a))+1/2/b*arctan(tan(b*x+a))*ln(1+I*(1+I*tan(b*x+a))^2/(1+tan(b*x+a)^2))-1/2/b*arctan(tan(b*x+a))*ln(1-I*(1+I*tan(b*x+a))^2/(1+tan(b*x+a)^2))-1/4*I/b*dilog(1+I*(1+I*tan(b*x+a))^2/(1+tan(b*x+a)^2))+1/4*I/b*dilog(1-I*(1+I*tan(b*x+a))^2/(1+tan(b*x+a)^2))","B"
316,0,0,17,1.796000," ","int(arctanh(tan(b*x+a))/(f*x+e),x)","\int \frac{\arctanh \left(\tan \left(b x +a \right)\right)}{f x +e}\, dx"," ",0,"int(arctanh(tan(b*x+a))/(f*x+e),x)","F"
317,1,6967,333,44.582000," ","int(x^2*arctanh(c+d*tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
318,1,6593,249,4.948000," ","int(x*arctanh(c+d*tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
319,1,612,164,0.262000," ","int(arctanh(c+d*tan(b*x+a)),x)","\frac{\arctan \left(\tan \left(b x +a \right)\right) \arctanh \left(c +d \tan \left(b x +a \right)\right)}{b}-\frac{\arctan \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right) \ln \left(d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)+c +1\right)}{2 b}+\frac{\arctan \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right) \ln \left(d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)+c -1\right)}{2 b}-\frac{i \ln \left(d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)+c +1\right) \ln \left(\frac{i d -d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c +1}\right)}{4 b}+\frac{i \ln \left(d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)+c +1\right) \ln \left(\frac{i d +d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c -1}\right)}{4 b}-\frac{i \dilog \left(\frac{i d -d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c +1}\right)}{4 b}+\frac{i \dilog \left(\frac{i d +d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c -1}\right)}{4 b}+\frac{i \ln \left(d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)+c -1\right) \ln \left(\frac{i d -d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c -1}\right)}{4 b}-\frac{i \ln \left(d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)+c -1\right) \ln \left(\frac{i d +d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c +1}\right)}{4 b}+\frac{i \dilog \left(\frac{i d -d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c -1}\right)}{4 b}-\frac{i \dilog \left(\frac{i d +d \left(\frac{c +d \tan \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c +1}\right)}{4 b}"," ",0,"1/b*arctan(tan(b*x+a))*arctanh(c+d*tan(b*x+a))-1/2/b*arctan((c+d*tan(b*x+a))/d-c/d)*ln(d*((c+d*tan(b*x+a))/d-c/d)+c+1)+1/2/b*arctan((c+d*tan(b*x+a))/d-c/d)*ln(d*((c+d*tan(b*x+a))/d-c/d)+c-1)-1/4*I/b*ln(d*((c+d*tan(b*x+a))/d-c/d)+c+1)*ln((I*d-d*((c+d*tan(b*x+a))/d-c/d))/(1+c+I*d))+1/4*I/b*ln(d*((c+d*tan(b*x+a))/d-c/d)+c+1)*ln((I*d+d*((c+d*tan(b*x+a))/d-c/d))/(I*d-c-1))-1/4*I/b*dilog((I*d-d*((c+d*tan(b*x+a))/d-c/d))/(1+c+I*d))+1/4*I/b*dilog((I*d+d*((c+d*tan(b*x+a))/d-c/d))/(I*d-c-1))+1/4*I/b*ln(d*((c+d*tan(b*x+a))/d-c/d)+c-1)*ln((I*d-d*((c+d*tan(b*x+a))/d-c/d))/(I*d+c-1))-1/4*I/b*ln(d*((c+d*tan(b*x+a))/d-c/d)+c-1)*ln((I*d+d*((c+d*tan(b*x+a))/d-c/d))/(1-c+I*d))+1/4*I/b*dilog((I*d-d*((c+d*tan(b*x+a))/d-c/d))/(I*d+c-1))-1/4*I/b*dilog((I*d+d*((c+d*tan(b*x+a))/d-c/d))/(1-c+I*d))","B"
320,0,0,17,1.006000," ","int(arctanh(c+d*tan(b*x+a))/x,x)","\int \frac{\arctanh \left(c +d \tan \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(c+d*tan(b*x+a))/x,x)","F"
321,1,2346,138,6.098000," ","int(x^2*arctanh(1-I*d+d*tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"-1/3*x^3*ln(exp(I*(b*x+a)))-1/6*I*Pi*x^3-1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))+1/12*I*b*x^4+1/8/b^3/(I+d)*polylog(4,I*(I+d)*exp(2*I*(b*x+a)))+1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))+1/6*x^3*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)-1/6*x^3*ln(d)-1/2/b^3*a^2/(I+d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/2/b^3*a^2/(I+d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/12*I*x^3*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2+1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/2/b^2*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x*a^2-1/2/b^2*a^2*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x-1/2/b^2*a^2*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x-1/4/b/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*x^2+1/4/b^3/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*a^2-1/6*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x^3-1/6*I/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x^3+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3-1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/12*I*x^3*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^3-1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3-1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^3+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))^3+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^3+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2-1/2/b^3*a^3*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/3/b^3*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*a^3-1/2*I/b^3*a^3/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/2*I/b^3*a^3/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/6/b^3*a^3*d/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)-1/4/b^2*d/(I+d)*polylog(3,I*(I+d)*exp(2*I*(b*x+a)))*x+1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2-1/8*I/b^3*d/(I+d)*polylog(4,I*(I+d)*exp(2*I*(b*x+a)))+1/6*I/b^3*a^3/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)+1/3*I/b^3/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*a^3-1/4*I/b^2/(I+d)*polylog(3,I*(I+d)*exp(2*I*(b*x+a)))*x+1/2*I/b^2/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x*a^2+1/2*I/b^3*a^2*d/(I+d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/2*I/b^3*a^2*d/(I+d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/2*I/b^2*a^2/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x-1/2*I/b^2*a^2/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x+1/4*I/b*d/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*x^2-1/4*I/b^3*d/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*a^2+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2-1/2/b^3*a^3*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/6*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))+1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2+1/12*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))","C"
322,1,2256,108,4.411000," ","int(x*arctanh(1-I*d+d*tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/6*I*b*x^3+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))^3-1/4*x^2*ln(d)-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/4*I/b^2*a^2/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))-1/8*I*x^2*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^3-1/8/b^2*d/(I+d)*polylog(3,I*(I+d)*exp(2*I*(b*x+a)))+1/2/b^2*a/(I+d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/8*I/b^2/(I+d)*polylog(3,I*(I+d)*exp(2*I*(b*x+a)))-1/4*I/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x^2-1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3+1/8*I*x^2*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2+1/4*x^2*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/4*I*Pi*x^2-1/2*x^2*ln(exp(I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3-1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^3+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^3-1/4/b^2*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*a^2+1/2*I/b^2*a^2/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/2/b^2*a/(I+d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/4/b/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*x-1/4/b^2/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*a-1/4*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x^2-1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2+1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^2-1/4/b^2*a^2*d/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)+1/2/b^2*a^2*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/2/b^2*a^2*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))-1/4*I/b^2/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*a^2+1/2*I/b^2*a^2/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/8*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))-1/4*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2-1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))+1/4*I/b^2*d/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*a-1/2*I/b/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x*a+1/4*I/b*d/(I+d)*polylog(2,I*(I+d)*exp(2*I*(b*x+a)))*x-1/2*I/b^2*a*d/(I+d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/2*I/b*a/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x-1/2*I/b^2*a*d/(I+d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))+1/2*I/b*a/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x+1/2/b*a*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x-1/2/b*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x*a+1/2/b*a*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(-I*(I+d))^(1/2))*x+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))+1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))","C"
323,1,292,76,0.477000," ","int(arctanh(1-I*d+d*tan(b*x+a)),x)","\frac{i \arctanh \left(1-i d +d \tan \left(b x +a \right)\right) \ln \left(i d +d \tan \left(b x +a \right)\right)}{2 b}-\frac{i \arctanh \left(1-i d +d \tan \left(b x +a \right)\right) \ln \left(-i d +d \tan \left(b x +a \right)\right)}{2 b}+\frac{i \dilog \left(\frac{i \left(-i d +d \tan \left(b x +a \right)\right)}{2 d}\right)}{4 b}+\frac{i \ln \left(i d +d \tan \left(b x +a \right)\right) \ln \left(\frac{i \left(-i d +d \tan \left(b x +a \right)\right)}{2 d}\right)}{4 b}-\frac{i \dilog \left(\frac{2-i d +d \tan \left(b x +a \right)}{-2 i d +2}\right)}{4 b}-\frac{i \ln \left(i d +d \tan \left(b x +a \right)\right) \ln \left(\frac{2-i d +d \tan \left(b x +a \right)}{-2 i d +2}\right)}{4 b}-\frac{i \ln \left(-i d +d \tan \left(b x +a \right)\right)^{2}}{8 b}+\frac{i \dilog \left(1-\frac{i d}{2}+\frac{d \tan \left(b x +a \right)}{2}\right)}{4 b}+\frac{i \ln \left(-i d +d \tan \left(b x +a \right)\right) \ln \left(1-\frac{i d}{2}+\frac{d \tan \left(b x +a \right)}{2}\right)}{4 b}"," ",0,"1/2*I/b*arctanh(1-I*d+d*tan(b*x+a))*ln(I*d+d*tan(b*x+a))-1/2*I/b*arctanh(1-I*d+d*tan(b*x+a))*ln(-I*d+d*tan(b*x+a))+1/4*I/b*dilog(1/2*I*(-I*d+d*tan(b*x+a))/d)+1/4*I/b*ln(I*d+d*tan(b*x+a))*ln(1/2*I*(-I*d+d*tan(b*x+a))/d)-1/4*I/b*dilog((2-I*d+d*tan(b*x+a))/(-2*I*d+2))-1/4*I/b*ln(I*d+d*tan(b*x+a))*ln((2-I*d+d*tan(b*x+a))/(-2*I*d+2))-1/8*I/b*ln(-I*d+d*tan(b*x+a))^2+1/4*I/b*dilog(1-1/2*I*d+1/2*d*tan(b*x+a))+1/4*I/b*ln(-I*d+d*tan(b*x+a))*ln(1-1/2*I*d+1/2*d*tan(b*x+a))","B"
324,0,0,21,1.595000," ","int(arctanh(1-I*d+d*tan(b*x+a))/x,x)","\int \frac{\arctanh \left(1-i d +d \tan \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(1-I*d+d*tan(b*x+a))/x,x)","F"
325,1,2456,138,5.688000," ","int(-x^2*arctanh(-1-I*d+d*tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"-1/3*x^3*ln(exp(I*(b*x+a)))+1/12*I*b*x^4+1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3-1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3+1/6*I*x^3*Pi-1/6*x^3*ln(d)-1/6*I/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x^3+1/8/b^3/(I-d)*polylog(4,I*(I-d)*exp(2*I*(b*x+a)))+1/6*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x^3-1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/12*I*x^3*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3-1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^3-1/2/b^3*a^2/(I-d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/2/b^3*a^2/(I-d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/4/b/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*x^2+1/4/b^3/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*a^2+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))^3-1/12*I*x^3*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))-1/2*I/b^3*a^2*d/(I-d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/4*I/b^3*d/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*a^2-1/2/b^2*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x*a^2+1/2/b^2*a^2*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2+1/6*x^3*ln(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2+1/2/b^2*a^2*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x-1/2*I/b^2*a^2/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x-1/4*I/b*d/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*x^2-1/2*I/b^2*a^2/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x-1/2*I/b^3*a^2*d/(I-d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/2/b^3*a^3*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/12*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))-1/6*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))-1/2*I/b^3*a^3/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/6*I/b^3*a^3/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d+I)+1/3*I/b^3/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*a^3+1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2-1/4*I/b^2/(I-d)*polylog(3,I*(I-d)*exp(2*I*(b*x+a)))*x-1/2*I/b^3*a^3/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))+1/2*I/b^2/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x*a^2-1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))+1/8*I/b^3*d/(I-d)*polylog(4,I*(I-d)*exp(2*I*(b*x+a)))+1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2+1/2/b^3*a^3*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/3/b^3*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*a^3-1/6/b^3*a^3*d/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d+I)+1/4/b^2*d/(I-d)*polylog(3,I*(I-d)*exp(2*I*(b*x+a)))*x","C"
326,1,2358,108,4.473000," ","int(-x*arctanh(-1-I*d+d*tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/6*I*b*x^3+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))^3-1/4*x^2*ln(d)-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/4*I/b^2/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*a^2+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3-1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3-1/8*I*x^2*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2+1/4*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x^2-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2-1/2/b^2*a^2*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/4*I*x^2*Pi-1/2*x^2*ln(exp(I*(b*x+a)))+1/2*I/b^2*a*d/(I-d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/4*I/b*d/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*x+1/8*I*x^2*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3-1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/2/b*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x*a+1/2/b^2*a/(I-d)*dilog(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3+1/2/b^2*a/(I-d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/4/b/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*x-1/8*I/b^2/(I-d)*polylog(3,I*(I-d)*exp(2*I*(b*x+a)))-1/4*I/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x^2-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))+1/4*x^2*ln(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^3+1/8/b^2*d/(I-d)*polylog(3,I*(I-d)*exp(2*I*(b*x+a)))-1/4/b^2/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*a-1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^2+1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2-1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))-1/2/b*a*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x-1/2/b*a*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x+1/8*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))-1/4*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))^2+1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^2-1/2/b^2*a^2*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/4/b^2*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*a^2+1/4/b^2*a^2*d/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d+I)+1/2*I/b^2*a^2/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))+1/2*I/b^2*a^2/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/4*I/b^2*a^2/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d+I)+1/2*I/b*a/(I-d)*ln(1+I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x+1/2*I/b*a/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x+1/2*I/b^2*a*d/(I-d)*dilog(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))-1/4*I/b^2*d/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*a-1/2*I/b/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x*a+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))+1))*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))+1))","C"
327,1,328,77,0.502000," ","int(-arctanh(-1-I*d+d*tan(b*x+a)),x)","-\frac{i \arctanh \left(-1-i d +d \tan \left(b x +a \right)\right) \ln \left(i d +d \tan \left(b x +a \right)\right)}{2 b}+\frac{i \arctanh \left(-1-i d +d \tan \left(b x +a \right)\right) \ln \left(-i d +d \tan \left(b x +a \right)\right)}{2 b}+\frac{i \dilog \left(\frac{i \left(-i d +d \tan \left(b x +a \right)\right)}{2 d}\right)}{4 b}+\frac{i \ln \left(i d +d \tan \left(b x +a \right)\right) \ln \left(\frac{i \left(-i d +d \tan \left(b x +a \right)\right)}{2 d}\right)}{4 b}-\frac{i \dilog \left(\frac{-2-i d +d \tan \left(b x +a \right)}{-2 i d -2}\right)}{4 b}-\frac{i \ln \left(i d +d \tan \left(b x +a \right)\right) \ln \left(\frac{-2-i d +d \tan \left(b x +a \right)}{-2 i d -2}\right)}{4 b}-\frac{i \ln \left(-i d +d \tan \left(b x +a \right)\right)^{2}}{8 b}-\frac{i \ln \left(1+\frac{i d}{2}-\frac{d \tan \left(b x +a \right)}{2}\right) \ln \left(-\frac{i d}{2}+\frac{d \tan \left(b x +a \right)}{2}\right)}{4 b}+\frac{i \ln \left(1+\frac{i d}{2}-\frac{d \tan \left(b x +a \right)}{2}\right) \ln \left(-i d +d \tan \left(b x +a \right)\right)}{4 b}-\frac{i \dilog \left(-\frac{i d}{2}+\frac{d \tan \left(b x +a \right)}{2}\right)}{4 b}"," ",0,"-1/2*I/b*arctanh(-1-I*d+d*tan(b*x+a))*ln(I*d+d*tan(b*x+a))+1/2*I/b*arctanh(-1-I*d+d*tan(b*x+a))*ln(-I*d+d*tan(b*x+a))+1/4*I/b*dilog(1/2*I*(-I*d+d*tan(b*x+a))/d)+1/4*I/b*ln(I*d+d*tan(b*x+a))*ln(1/2*I*(-I*d+d*tan(b*x+a))/d)-1/4*I/b*dilog((-2-I*d+d*tan(b*x+a))/(-2*I*d-2))-1/4*I/b*ln(I*d+d*tan(b*x+a))*ln((-2-I*d+d*tan(b*x+a))/(-2*I*d-2))-1/8*I/b*ln(-I*d+d*tan(b*x+a))^2-1/4*I/b*ln(1+1/2*I*d-1/2*d*tan(b*x+a))*ln(-1/2*I*d+1/2*d*tan(b*x+a))+1/4*I/b*ln(1+1/2*I*d-1/2*d*tan(b*x+a))*ln(-I*d+d*tan(b*x+a))-1/4*I/b*dilog(-1/2*I*d+1/2*d*tan(b*x+a))","B"
328,0,0,22,1.648000," ","int(-arctanh(-1-I*d+d*tan(b*x+a))/x,x)","\int -\frac{\arctanh \left(-1-i d +d \tan \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(-arctanh(-1-I*d+d*tan(b*x+a))/x,x)","F"
329,1,7429,251,41.706000," ","int((f*x+e)^3*arctanh(cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
330,1,5543,193,32.115000," ","int((f*x+e)^2*arctanh(cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
331,1,2544,133,3.711000," ","int((f*x+e)*arctanh(cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/4*I*Pi*x*e+1/8*I*Pi*f*x^2-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3+1/4/b^2*f*(I*b*x+I*a)^2*ln(1-I*exp(2*I*(b*x+a)))+1/4/b^2*f*(I*b*x+I*a)*polylog(2,I*exp(2*I*(b*x+a)))-1/4*ln(exp(2*I*(b*x+a))-I)*x^2*f-1/2*ln(exp(2*I*(b*x+a))-I)*x*e+1/8*f*polylog(3,-I*exp(2*I*(b*x+a)))/b^2-1/8*f*polylog(3,I*exp(2*I*(b*x+a)))/b^2-1/2*I/b*e*dilog(1+exp(I*(b*x+a))*(-1)^(3/4))-1/2*I/b*e*dilog(1-exp(I*(b*x+a))*(-1)^(3/4))+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^3+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2*x^2+1/8*I*Pi*f*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2*x^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2+1/2*I/b*e*dilog(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))+1/2*I/b*e*dilog(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))+1/4*I*Pi*x*e*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^3+1/8*I*Pi*f*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^3*x^2-1/2/b*a*e*ln(-exp(2*I*(b*x+a))+I)+1/2/b*a*e*ln(exp(2*I*(b*x+a))+I)-1/4/b^2*a^2*f*ln(exp(2*I*(b*x+a))+I)-1/4/b^2*f*(I*b*x+I*a)^2*ln(1+I*exp(2*I*(b*x+a)))-1/4/b^2*f*(I*b*x+I*a)*polylog(2,-I*exp(2*I*(b*x+a)))-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3*x^2-1/2*(-1/2*f*x^2-e*x)*ln(exp(2*I*(b*x+a))+I)+1/4*I*Pi*x*e*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2*x^2+1/4/b^2*a^2*f*ln(-exp(2*I*(b*x+a))+I)-1/8*I*Pi*f*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2*x^2-1/4*I*Pi*x*e*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2-1/8*I*Pi*f*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2*x^2-1/4*I*Pi*x*e*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*x^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))+I))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*x^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))*x^2+1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))*x^2-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2*x^2-1/4*I*Pi*x*e*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2-1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))*csgn((1+I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2*x^2+1/2*I/b^2*f*a*(I*b*x+I*a)*ln(1+exp(I*(b*x+a))*(-1)^(3/4))+1/2*I/b^2*f*a*(I*b*x+I*a)*ln(1-exp(I*(b*x+a))*(-1)^(3/4))+1/2*I/b*e*(I*b*x+I*a)*ln(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))+1/2*I/b^2*f*a*dilog(1-exp(I*(b*x+a))*(-1)^(3/4))+1/2*I/b*e*(I*b*x+I*a)*ln(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))+1/4*I*Pi*x*e*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3+1/8*I*Pi*f*csgn((1-I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3*x^2+1/8*I*Pi*f*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^3*x^2+1/2*I/b^2*f*a*dilog(1+exp(I*(b*x+a))*(-1)^(3/4))-1/2*I/b^2*f*a*dilog(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b^2*f*a*(I*b*x+I*a)*ln(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b^2*f*a*(I*b*x+I*a)*ln(((-I)^(1/2)+exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b^2*f*a*dilog(((-I)^(1/2)-exp(I*(b*x+a)))/(-I)^(1/2))-1/2*I/b*e*(I*b*x+I*a)*ln(1+exp(I*(b*x+a))*(-1)^(3/4))-1/2*I/b*e*(I*b*x+I*a)*ln(1-exp(I*(b*x+a))*(-1)^(3/4))-1/8*I*Pi*f*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2*x^2-1/4*I*Pi*x*e*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))-1))^2","C"
332,1,160,64,0.421000," ","int(arctanh(cot(b*x+a)),x)","-\frac{i \arctanh \left(\cot \left(b x +a \right)\right) \ln \left(1-\frac{i \left(\cot \left(b x +a \right)+1\right)^{2}}{-\left(\cot^{2}\left(b x +a \right)\right)+1}\right)}{2 b}+\frac{i \arctanh \left(\cot \left(b x +a \right)\right) \ln \left(1+\frac{i \left(\cot \left(b x +a \right)+1\right)^{2}}{-\left(\cot^{2}\left(b x +a \right)\right)+1}\right)}{2 b}+\frac{i \dilog \left(1+\frac{i \left(\cot \left(b x +a \right)+1\right)^{2}}{-\left(\cot^{2}\left(b x +a \right)\right)+1}\right)}{4 b}-\frac{i \dilog \left(1-\frac{i \left(\cot \left(b x +a \right)+1\right)^{2}}{-\left(\cot^{2}\left(b x +a \right)\right)+1}\right)}{4 b}"," ",0,"-1/2*I/b*arctanh(cot(b*x+a))*ln(1-I*(cot(b*x+a)+1)^2/(-cot(b*x+a)^2+1))+1/2*I/b*arctanh(cot(b*x+a))*ln(1+I*(cot(b*x+a)+1)^2/(-cot(b*x+a)^2+1))+1/4*I/b*dilog(1+I*(cot(b*x+a)+1)^2/(-cot(b*x+a)^2+1))-1/4*I/b*dilog(1-I*(cot(b*x+a)+1)^2/(-cot(b*x+a)^2+1))","B"
333,0,0,17,3.621000," ","int(arctanh(cot(b*x+a))/(f*x+e),x)","\int \frac{\arctanh \left(\cot \left(b x +a \right)\right)}{f x +e}\, dx"," ",0,"int(arctanh(cot(b*x+a))/(f*x+e),x)","F"
334,1,6775,329,51.088000," ","int(x^2*arctanh(c+d*cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
335,1,6425,247,4.972000," ","int(x*arctanh(c+d*cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
336,1,629,164,0.471000," ","int(arctanh(c+d*cot(b*x+a)),x)","-\frac{\arctanh \left(c +d \cot \left(b x +a \right)\right) \pi}{2 b}+\frac{\arctanh \left(c +d \cot \left(b x +a \right)\right) \mathrm{arccot}\left(\cot \left(b x +a \right)\right)}{b}+\frac{\arctan \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right) \ln \left(d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)+c +1\right)}{2 b}-\frac{\arctan \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right) \ln \left(d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)+c -1\right)}{2 b}+\frac{i \ln \left(d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)+c +1\right) \ln \left(\frac{i d -d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c +1}\right)}{4 b}-\frac{i \ln \left(d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)+c +1\right) \ln \left(\frac{i d +d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c -1}\right)}{4 b}+\frac{i \dilog \left(\frac{i d -d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c +1}\right)}{4 b}-\frac{i \dilog \left(\frac{i d +d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c -1}\right)}{4 b}-\frac{i \ln \left(d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)+c -1\right) \ln \left(\frac{i d -d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c -1}\right)}{4 b}+\frac{i \ln \left(d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)+c -1\right) \ln \left(\frac{i d +d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c +1}\right)}{4 b}-\frac{i \dilog \left(\frac{i d -d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d +c -1}\right)}{4 b}+\frac{i \dilog \left(\frac{i d +d \left(\frac{c +d \cot \left(b x +a \right)}{d}-\frac{c}{d}\right)}{i d -c +1}\right)}{4 b}"," ",0,"-1/2/b*arctanh(c+d*cot(b*x+a))*Pi+1/b*arctanh(c+d*cot(b*x+a))*arccot(cot(b*x+a))+1/2/b*arctan((c+d*cot(b*x+a))/d-c/d)*ln(d*((c+d*cot(b*x+a))/d-c/d)+c+1)-1/2/b*arctan((c+d*cot(b*x+a))/d-c/d)*ln(d*((c+d*cot(b*x+a))/d-c/d)+c-1)+1/4*I/b*ln(d*((c+d*cot(b*x+a))/d-c/d)+c+1)*ln((I*d-d*((c+d*cot(b*x+a))/d-c/d))/(1+c+I*d))-1/4*I/b*ln(d*((c+d*cot(b*x+a))/d-c/d)+c+1)*ln((I*d+d*((c+d*cot(b*x+a))/d-c/d))/(I*d-c-1))+1/4*I/b*dilog((I*d-d*((c+d*cot(b*x+a))/d-c/d))/(1+c+I*d))-1/4*I/b*dilog((I*d+d*((c+d*cot(b*x+a))/d-c/d))/(I*d-c-1))-1/4*I/b*ln(d*((c+d*cot(b*x+a))/d-c/d)+c-1)*ln((I*d-d*((c+d*cot(b*x+a))/d-c/d))/(I*d+c-1))+1/4*I/b*ln(d*((c+d*cot(b*x+a))/d-c/d)+c-1)*ln((I*d+d*((c+d*cot(b*x+a))/d-c/d))/(1-c+I*d))-1/4*I/b*dilog((I*d-d*((c+d*cot(b*x+a))/d-c/d))/(I*d+c-1))+1/4*I/b*dilog((I*d+d*((c+d*cot(b*x+a))/d-c/d))/(1-c+I*d))","B"
337,0,0,17,1.112000," ","int(arctanh(c+d*cot(b*x+a))/x,x)","\int \frac{\arctanh \left(c +d \cot \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(c+d*cot(b*x+a))/x,x)","F"
338,1,2456,136,5.641000," ","int(x^2*arctanh(1+I*d+d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/2/b^2*d/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x*a^2+1/2/b^2*a^2*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x+1/2/b^2*a^2*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x-1/4/b/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*x^2+1/4/b^3/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*a^2-1/3*x^3*ln(exp(I*(b*x+a)))+1/12*I*b*x^4+1/6*I*x^3*Pi-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/6*x^3*ln(d)+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^3+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))^3+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3+1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3-1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3-1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/2/b^3*a^3*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))+1/8/b^3/(I-d)*polylog(4,-I*(I-d)*exp(2*I*(b*x+a)))-1/2/b^3*a^2/(I-d)*dilog(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/2/b^3*a^2/(I-d)*dilog(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))+1/6*d/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x^3+1/12*I*x^3*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3-1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/6*I/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x^3-1/12*I*x^3*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2-1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))+1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2-1/6*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2+1/6*x^3*ln(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)+1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2+1/3*I/b^3/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*a^3+1/12*I*x^3*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2-1/2*I/b^3*a^3/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/2*I/b^3*a^3/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))+1/6*I/b^3*a^3/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d-I)+1/8*I/b^3*d/(I-d)*polylog(4,-I*(I-d)*exp(2*I*(b*x+a)))-1/4*I/b^2/(I-d)*polylog(3,-I*(I-d)*exp(2*I*(b*x+a)))*x+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))-1/4*I/b*d/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*x^2+1/4*I/b^3*d/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*a^2+1/2*I/b^2/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x*a^2-1/2*I/b^2*a^2/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x-1/2*I/b^2*a^2/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x-1/2*I/b^3*a^2*d/(I-d)*dilog(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/2*I/b^3*a^2*d/(I-d)*dilog(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))+1/2/b^3*a^3*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/6/b^3*a^3*d/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d-I)-1/3/b^3*d/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*a^3+1/4/b^2*d/(I-d)*polylog(3,-I*(I-d)*exp(2*I*(b*x+a)))*x+1/12*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))","C"
339,1,2358,107,4.456000," ","int(x*arctanh(1+I*d+d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/2*I/b^2*a*d/(I-d)*dilog(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))+1/2*I/b^2*a*d/(I-d)*dilog(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/4*I/b*d/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*x-1/4*I/b^2*d/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*a-1/2*I/b/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x*a+1/8*I*x^2*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3-1/8*I*x^2*Pi*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2+1/6*I*b*x^3+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))^3+1/4/b^2*d/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*a^2-1/4*x^2*ln(d)-1/2/b^2*a^2*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/2/b^2*a^2*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/4/b/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*x-1/4/b^2/(I-d)*polylog(2,-I*(I-d)*exp(2*I*(b*x+a)))*a+1/4*d/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x^2+1/2/b^2*a/(I-d)*dilog(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^3+1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3-1/8*I/b^2/(I-d)*polylog(3,-I*(I-d)*exp(2*I*(b*x+a)))-1/4*I/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x^2-1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))+1/4*I*x^2*Pi-1/2*x^2*ln(exp(I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/4*x^2*ln(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)+1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2+1/2/b^2*a/(I-d)*dilog(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))+1/8/b^2*d/(I-d)*polylog(3,-I*(I-d)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^3+1/4/b^2*a^2*d/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d-I)-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2-1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2-1/2/b*a*d/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x-1/2/b*a*d/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x+1/2/b*d/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*x*a+1/8*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))-1/4*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2+1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))^2-1/4*I/b^2*a^2/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d-I)-1/4*I/b^2/(I-d)*ln(1+I*(I-d)*exp(2*I*(b*x+a)))*a^2+1/2*I/b^2*a^2/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))+1/2*I/b^2*a^2/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))-1/8*I*x^2*Pi*csgn(I*(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))*csgn((exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))-1))+1/2*I/b*a/(I-d)*ln(1+I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x+1/2*I/b*a/(I-d)*ln(1-I*exp(I*(b*x+a))*(I*(I-d))^(1/2))*x","C"
340,1,299,76,0.608000," ","int(arctanh(1+I*d+d*cot(b*x+a)),x)","\frac{i \arctanh \left(1+i d +d \cot \left(b x +a \right)\right) \ln \left(i d -d \cot \left(b x +a \right)\right)}{2 b}-\frac{i \arctanh \left(1+i d +d \cot \left(b x +a \right)\right) \ln \left(i d +d \cot \left(b x +a \right)\right)}{2 b}+\frac{i \dilog \left(\frac{i \left(-i d -d \cot \left(b x +a \right)\right)}{2 d}\right)}{4 b}+\frac{i \ln \left(i d -d \cot \left(b x +a \right)\right) \ln \left(\frac{i \left(-i d -d \cot \left(b x +a \right)\right)}{2 d}\right)}{4 b}-\frac{i \dilog \left(\frac{-2-i d -d \cot \left(b x +a \right)}{-2 i d -2}\right)}{4 b}-\frac{i \ln \left(i d -d \cot \left(b x +a \right)\right) \ln \left(\frac{-2-i d -d \cot \left(b x +a \right)}{-2 i d -2}\right)}{4 b}-\frac{i \ln \left(i d +d \cot \left(b x +a \right)\right)^{2}}{8 b}+\frac{i \dilog \left(1+\frac{i d}{2}+\frac{d \cot \left(b x +a \right)}{2}\right)}{4 b}+\frac{i \ln \left(i d +d \cot \left(b x +a \right)\right) \ln \left(1+\frac{i d}{2}+\frac{d \cot \left(b x +a \right)}{2}\right)}{4 b}"," ",0,"1/2*I/b*arctanh(1+I*d+d*cot(b*x+a))*ln(I*d-d*cot(b*x+a))-1/2*I/b*arctanh(1+I*d+d*cot(b*x+a))*ln(I*d+d*cot(b*x+a))+1/4*I/b*dilog(1/2*I*(-I*d-d*cot(b*x+a))/d)+1/4*I/b*ln(I*d-d*cot(b*x+a))*ln(1/2*I*(-I*d-d*cot(b*x+a))/d)-1/4*I/b*dilog((-2-I*d-d*cot(b*x+a))/(-2*I*d-2))-1/4*I/b*ln(I*d-d*cot(b*x+a))*ln((-2-I*d-d*cot(b*x+a))/(-2*I*d-2))-1/8*I/b*ln(I*d+d*cot(b*x+a))^2+1/4*I/b*dilog(1+1/2*I*d+1/2*d*cot(b*x+a))+1/4*I/b*ln(I*d+d*cot(b*x+a))*ln(1+1/2*I*d+1/2*d*cot(b*x+a))","B"
341,0,0,21,1.837000," ","int(arctanh(1+I*d+d*cot(b*x+a))/x,x)","\int \frac{\arctanh \left(1+i d +d \cot \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arctanh(1+I*d+d*cot(b*x+a))/x,x)","F"
342,1,2346,136,5.562000," ","int(-x^2*arctanh(-1+I*d+d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/4*I/b*d/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*x^2-1/3*x^3*ln(exp(I*(b*x+a)))-1/6*I*Pi*x^3-1/12*I*x^3*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/12*I*b*x^4+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^3+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3+1/2/b^2*d/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x*a^2-1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3-1/6*x^3*ln(d)-1/2*I/b^3*a^3/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/8*I/b^3*d/(I+d)*polylog(4,-I*(I+d)*exp(2*I*(b*x+a)))-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/8/b^3/(I+d)*polylog(4,-I*(I+d)*exp(2*I*(b*x+a)))-1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^3+1/12*I*x^3*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))^3-1/4/b/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*x^2+1/4/b^3/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*a^2-1/2/b^3*a^2/(I+d)*dilog(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/2/b^3*a^2/(I+d)*dilog(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/6*d/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x^3+1/12*I*x^3*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2-1/12*I*x^3*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^3-1/6*I/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x^3-1/6*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))+1/3*I/b^3/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*a^3+1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2-1/4/b^2*d/(I+d)*polylog(3,-I*(I+d)*exp(2*I*(b*x+a)))*x-1/4*I/b^3*d/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*a^2-1/2*I/b^2*a^2/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x-1/2/b^2*a^2*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x+1/2*I/b^3*a^2*d/(I+d)*dilog(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/12*I*x^3*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2+1/2*I/b^3*a^2*d/(I+d)*dilog(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))+1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2+1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2+1/12*I*x^3*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))+1/6*x^3*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)+1/2*I/b^2/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x*a^2-1/2*I/b^2*a^2/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x-1/2/b^2*a^2*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x-1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/2/b^3*a^3*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/2/b^3*a^3*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))+1/3/b^3*d/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*a^3+1/6/b^3*a^3*d/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)+1/12*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))+1/12*I*x^3*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))-1/12*I*x^3*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))-1/4*I/b^2/(I+d)*polylog(3,-I*(I+d)*exp(2*I*(b*x+a)))*x+1/6*I/b^3*a^3/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)-1/2*I/b^3*a^3/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2","C"
343,1,2256,107,4.336000," ","int(-x*arctanh(-1+I*d+d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/4*I/b*d/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*x+1/6*I*b*x^3+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))+1/8*I*x^2*Pi*csgn(I*d)*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))^3+1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2+1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2-1/4*x^2*ln(d)+1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2-1/8*I*x^2*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^3+1/2/b^2*a/(I+d)*dilog(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))+1/2/b^2*a/(I+d)*dilog(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/4/b/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*x-1/4/b^2/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*a-1/4*d/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x^2+1/4*x^2*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)+1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/4*I*Pi*x^2-1/2*x^2*ln(exp(I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3-1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3-1/8*I/b^2/(I+d)*polylog(3,-I*(I+d)*exp(2*I*(b*x+a)))-1/4*I/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x^2-1/8*I*x^2*Pi*csgn(I*d)*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^3+1/2/b^2*a^2*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/4/b^2*a^2*d/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)-1/4/b^2*d/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*a^2-1/8/b^2*d/(I+d)*polylog(3,-I*(I+d)*exp(2*I*(b*x+a)))+1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^3+1/8*I*x^2*Pi*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))^2-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2+1/2*I/b^2*a^2/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/4*I/b^2*a^2/(I+d)*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^2-1/4*I/b^2/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*a^2+1/2*I/b^2*a^2/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))*csgn(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/8*I*x^2*Pi*csgn(I*exp(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2+1/8*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*exp(2*I*(b*x+a)))-1/4*I*x^2*Pi*csgn(I*exp(I*(b*x+a)))*csgn(I*exp(2*I*(b*x+a)))^2-1/8*I*x^2*Pi*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))*csgn((I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))+1/2/b^2*a^2*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))+1/2*I/b*a/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x+1/2*I/b*a/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x-1/2*I/b^2*a*d/(I+d)*dilog(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/8*I*x^2*Pi*csgn(I/(exp(2*I*(b*x+a))-1))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I))*csgn(I*(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d-I)/(exp(2*I*(b*x+a))-1))+1/4*I/b^2*d/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*a+1/2/b*a*d/(I+d)*ln(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x-1/2/b*d/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x*a+1/2/b*a*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(1/2))*x-1/2*I/b^2*a*d/(I+d)*dilog(1-I*exp(I*(b*x+a))*(I*(I+d))^(1/2))-1/2*I/b/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x*a","C"
344,1,335,77,0.553000," ","int(-arctanh(-1+I*d+d*cot(b*x+a)),x)","\frac{i \arctanh \left(-1+i d +d \cot \left(b x +a \right)\right) \ln \left(i d +d \cot \left(b x +a \right)\right)}{2 b}-\frac{i \arctanh \left(-1+i d +d \cot \left(b x +a \right)\right) \ln \left(i d -d \cot \left(b x +a \right)\right)}{2 b}+\frac{i \dilog \left(\frac{i \left(-i d -d \cot \left(b x +a \right)\right)}{2 d}\right)}{4 b}+\frac{i \ln \left(i d -d \cot \left(b x +a \right)\right) \ln \left(\frac{i \left(-i d -d \cot \left(b x +a \right)\right)}{2 d}\right)}{4 b}-\frac{i \dilog \left(\frac{2-i d -d \cot \left(b x +a \right)}{-2 i d +2}\right)}{4 b}-\frac{i \ln \left(i d -d \cot \left(b x +a \right)\right) \ln \left(\frac{2-i d -d \cot \left(b x +a \right)}{-2 i d +2}\right)}{4 b}-\frac{i \ln \left(i d +d \cot \left(b x +a \right)\right)^{2}}{8 b}+\frac{i \ln \left(1-\frac{i d}{2}-\frac{d \cot \left(b x +a \right)}{2}\right) \ln \left(i d +d \cot \left(b x +a \right)\right)}{4 b}-\frac{i \ln \left(1-\frac{i d}{2}-\frac{d \cot \left(b x +a \right)}{2}\right) \ln \left(\frac{i d}{2}+\frac{d \cot \left(b x +a \right)}{2}\right)}{4 b}-\frac{i \dilog \left(\frac{i d}{2}+\frac{d \cot \left(b x +a \right)}{2}\right)}{4 b}"," ",0,"1/2*I/b*arctanh(-1+I*d+d*cot(b*x+a))*ln(I*d+d*cot(b*x+a))-1/2*I/b*arctanh(-1+I*d+d*cot(b*x+a))*ln(I*d-d*cot(b*x+a))+1/4*I/b*dilog(1/2*I*(-I*d-d*cot(b*x+a))/d)+1/4*I/b*ln(I*d-d*cot(b*x+a))*ln(1/2*I*(-I*d-d*cot(b*x+a))/d)-1/4*I/b*dilog((2-I*d-d*cot(b*x+a))/(-2*I*d+2))-1/4*I/b*ln(I*d-d*cot(b*x+a))*ln((2-I*d-d*cot(b*x+a))/(-2*I*d+2))-1/8*I/b*ln(I*d+d*cot(b*x+a))^2+1/4*I/b*ln(1-1/2*I*d-1/2*d*cot(b*x+a))*ln(I*d+d*cot(b*x+a))-1/4*I/b*ln(1-1/2*I*d-1/2*d*cot(b*x+a))*ln(1/2*I*d+1/2*d*cot(b*x+a))-1/4*I/b*dilog(1/2*I*d+1/2*d*cot(b*x+a))","B"
345,0,0,22,1.531000," ","int(-arctanh(-1+I*d+d*cot(b*x+a))/x,x)","\int -\frac{\arctanh \left(-1+i d +d \cot \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(-arctanh(-1+I*d+d*cot(b*x+a))/x,x)","F"
346,1,31,15,0.048000," ","int(arctanh(exp(x)),x)","\ln \left({\mathrm e}^{x}\right) \arctanh \left({\mathrm e}^{x}\right)-\frac{\dilog \left({\mathrm e}^{x}\right)}{2}-\frac{\dilog \left({\mathrm e}^{x}+1\right)}{2}-\frac{\ln \left({\mathrm e}^{x}\right) \ln \left({\mathrm e}^{x}+1\right)}{2}"," ",0,"ln(exp(x))*arctanh(exp(x))-1/2*dilog(exp(x))-1/2*dilog(exp(x)+1)-1/2*ln(exp(x))*ln(exp(x)+1)","A"
347,1,62,31,0.042000," ","int(x*arctanh(exp(x)),x)","\frac{x^{2} \arctanh \left({\mathrm e}^{x}\right)}{2}-\frac{x^{2} \ln \left({\mathrm e}^{x}+1\right)}{4}-\frac{x \polylog \left(2, -{\mathrm e}^{x}\right)}{2}+\frac{\polylog \left(3, -{\mathrm e}^{x}\right)}{2}+\frac{x^{2} \ln \left(1-{\mathrm e}^{x}\right)}{4}+\frac{x \polylog \left(2, {\mathrm e}^{x}\right)}{2}-\frac{\polylog \left(3, {\mathrm e}^{x}\right)}{2}"," ",0,"1/2*x^2*arctanh(exp(x))-1/4*x^2*ln(exp(x)+1)-1/2*x*polylog(2,-exp(x))+1/2*polylog(3,-exp(x))+1/4*x^2*ln(1-exp(x))+1/2*x*polylog(2,exp(x))-1/2*polylog(3,exp(x))","A"
348,1,79,48,0.041000," ","int(x^2*arctanh(exp(x)),x)","\frac{x^{3} \arctanh \left({\mathrm e}^{x}\right)}{3}-\frac{x^{3} \ln \left({\mathrm e}^{x}+1\right)}{6}-\frac{x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)}{2}+x \polylog \left(3, -{\mathrm e}^{x}\right)-\polylog \left(4, -{\mathrm e}^{x}\right)+\frac{x^{3} \ln \left(1-{\mathrm e}^{x}\right)}{6}+\frac{x^{2} \polylog \left(2, {\mathrm e}^{x}\right)}{2}-x \polylog \left(3, {\mathrm e}^{x}\right)+\polylog \left(4, {\mathrm e}^{x}\right)"," ",0,"1/3*x^3*arctanh(exp(x))-1/6*x^3*ln(exp(x)+1)-1/2*x^2*polylog(2,-exp(x))+x*polylog(3,-exp(x))-polylog(4,-exp(x))+1/6*x^3*ln(1-exp(x))+1/2*x^2*polylog(2,exp(x))-x*polylog(3,exp(x))+polylog(4,exp(x))","A"
349,1,67,29,0.050000," ","int(arctanh(exp(b*x+a)),x)","\frac{\ln \left({\mathrm e}^{b x +a}\right) \arctanh \left({\mathrm e}^{b x +a}\right)}{b}-\frac{\dilog \left({\mathrm e}^{b x +a}\right)}{2 b}-\frac{\dilog \left({\mathrm e}^{b x +a}+1\right)}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}\right) \ln \left({\mathrm e}^{b x +a}+1\right)}{2 b}"," ",0,"1/b*ln(exp(b*x+a))*arctanh(exp(b*x+a))-1/2/b*dilog(exp(b*x+a))-1/2/b*dilog(exp(b*x+a)+1)-1/2/b*ln(exp(b*x+a))*ln(exp(b*x+a)+1)","B"
350,1,153,59,0.049000," ","int(x*arctanh(exp(b*x+a)),x)","\frac{x^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{2}-\frac{\ln \left({\mathrm e}^{b x +a}+1\right) x^{2}}{4}+\frac{\ln \left({\mathrm e}^{b x +a}+1\right) a^{2}}{4 b^{2}}-\frac{x \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{2 b}+\frac{\polylog \left(3, -{\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{4}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{4 b^{2}}+\frac{x \polylog \left(2, {\mathrm e}^{b x +a}\right)}{2 b}-\frac{\polylog \left(3, {\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{2 b^{2}}"," ",0,"1/2*x^2*arctanh(exp(b*x+a))-1/4*ln(exp(b*x+a)+1)*x^2+1/4/b^2*ln(exp(b*x+a)+1)*a^2-1/2*x*polylog(2,-exp(b*x+a))/b+1/2*polylog(3,-exp(b*x+a))/b^2+1/4*ln(1-exp(b*x+a))*x^2-1/4/b^2*ln(1-exp(b*x+a))*a^2+1/2*x*polylog(2,exp(b*x+a))/b-1/2*polylog(3,exp(b*x+a))/b^2-1/2/b^2*a^2*arctanh(exp(b*x+a))","B"
351,1,185,91,0.052000," ","int(x^2*arctanh(exp(b*x+a)),x)","\frac{x^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{3}-\frac{\polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{\ln \left({\mathrm e}^{b x +a}+1\right) x^{3}}{6}-\frac{x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{2 b}+\frac{x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{6}+\frac{x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{2 b}-\frac{x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{3 b^{3}}-\frac{\ln \left({\mathrm e}^{b x +a}+1\right) a^{3}}{6 b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{6 b^{3}}"," ",0,"1/3*x^3*arctanh(exp(b*x+a))-polylog(4,-exp(b*x+a))/b^3+polylog(4,exp(b*x+a))/b^3-1/6*ln(exp(b*x+a)+1)*x^3-1/2*x^2*polylog(2,-exp(b*x+a))/b+x*polylog(3,-exp(b*x+a))/b^2+1/6*ln(1-exp(b*x+a))*x^3+1/2*x^2*polylog(2,exp(b*x+a))/b-x*polylog(3,exp(b*x+a))/b^2+1/3/b^3*a^3*arctanh(exp(b*x+a))-1/6/b^3*ln(exp(b*x+a)+1)*a^3+1/6/b^3*ln(1-exp(b*x+a))*a^3","B"
352,1,164,164,0.076000," ","int(arctanh(a+b*f^(d*x+c)),x)","\frac{\ln \left(b \,f^{d x +c}\right) \arctanh \left(a +b \,f^{d x +c}\right)}{d \ln \left(f \right)}-\frac{\dilog \left(\frac{1+a +b \,f^{d x +c}}{1+a}\right)}{2 d \ln \left(f \right)}-\frac{\ln \left(b \,f^{d x +c}\right) \ln \left(\frac{1+a +b \,f^{d x +c}}{1+a}\right)}{2 d \ln \left(f \right)}+\frac{\dilog \left(\frac{b \,f^{d x +c}+a -1}{a -1}\right)}{2 d \ln \left(f \right)}+\frac{\ln \left(b \,f^{d x +c}\right) \ln \left(\frac{b \,f^{d x +c}+a -1}{a -1}\right)}{2 d \ln \left(f \right)}"," ",0,"1/d/ln(f)*ln(b*f^(d*x+c))*arctanh(a+b*f^(d*x+c))-1/2/d/ln(f)*dilog((1+a+b*f^(d*x+c))/(1+a))-1/2/d/ln(f)*ln(b*f^(d*x+c))*ln((1+a+b*f^(d*x+c))/(1+a))+1/2/d/ln(f)*dilog((b*f^(d*x+c)+a-1)/(a-1))+1/2/d/ln(f)*ln(b*f^(d*x+c))*ln((b*f^(d*x+c)+a-1)/(a-1))","A"
353,1,596,195,0.134000," ","int(x*arctanh(a+b*f^(d*x+c)),x)","\frac{x^{2} \ln \left(1+a +b \,f^{d x +c}\right)}{4}-\frac{x^{2} \ln \left(1-a -b \,f^{d x +c}\right)}{4}+\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{1-a}\right) x^{2}}{4}+\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{1-a}\right) x c}{2 d}+\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{1-a}\right) c^{2}}{4 d^{2}}+\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{1-a}\right) x}{2 \ln \left(f \right) d}+\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{1-a}\right) c}{2 \ln \left(f \right) d^{2}}-\frac{\polylog \left(3, \frac{b \,f^{d x} f^{c}}{1-a}\right)}{2 \ln \left(f \right)^{2} d^{2}}+\frac{c^{2} \ln \left(1-a -f^{c} f^{d x} b \right)}{4 d^{2}}-\frac{c \dilog \left(\frac{f^{c} f^{d x} b +a -1}{a -1}\right)}{2 \ln \left(f \right) d^{2}}-\frac{c \ln \left(\frac{f^{c} f^{d x} b +a -1}{a -1}\right) x}{2 d}-\frac{c^{2} \ln \left(\frac{f^{c} f^{d x} b +a -1}{a -1}\right)}{2 d^{2}}-\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{-1-a}\right) x^{2}}{4}-\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{-1-a}\right) x c}{2 d}-\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{-1-a}\right) c^{2}}{4 d^{2}}-\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{-1-a}\right) x}{2 \ln \left(f \right) d}-\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{-1-a}\right) c}{2 \ln \left(f \right) d^{2}}+\frac{\polylog \left(3, \frac{b \,f^{d x} f^{c}}{-1-a}\right)}{2 \ln \left(f \right)^{2} d^{2}}-\frac{c^{2} \ln \left(1+a +f^{c} f^{d x} b \right)}{4 d^{2}}+\frac{c \dilog \left(\frac{1+a +f^{c} f^{d x} b}{1+a}\right)}{2 \ln \left(f \right) d^{2}}+\frac{c \ln \left(\frac{1+a +f^{c} f^{d x} b}{1+a}\right) x}{2 d}+\frac{c^{2} \ln \left(\frac{1+a +f^{c} f^{d x} b}{1+a}\right)}{2 d^{2}}"," ",0,"1/4*x^2*ln(1+a+b*f^(d*x+c))-1/4*x^2*ln(1-a-b*f^(d*x+c))+1/4*ln(1-b*f^(d*x)*f^c/(1-a))*x^2+1/2/d*ln(1-b*f^(d*x)*f^c/(1-a))*x*c+1/4/d^2*ln(1-b*f^(d*x)*f^c/(1-a))*c^2+1/2/ln(f)/d*polylog(2,b*f^(d*x)*f^c/(1-a))*x+1/2/ln(f)/d^2*polylog(2,b*f^(d*x)*f^c/(1-a))*c-1/2/ln(f)^2/d^2*polylog(3,b*f^(d*x)*f^c/(1-a))+1/4/d^2*c^2*ln(1-a-f^c*f^(d*x)*b)-1/2/ln(f)/d^2*c*dilog((f^c*f^(d*x)*b+a-1)/(a-1))-1/2/d*c*ln((f^c*f^(d*x)*b+a-1)/(a-1))*x-1/2/d^2*c^2*ln((f^c*f^(d*x)*b+a-1)/(a-1))-1/4*ln(1-b*f^(d*x)*f^c/(-1-a))*x^2-1/2/d*ln(1-b*f^(d*x)*f^c/(-1-a))*x*c-1/4/d^2*ln(1-b*f^(d*x)*f^c/(-1-a))*c^2-1/2/ln(f)/d*polylog(2,b*f^(d*x)*f^c/(-1-a))*x-1/2/ln(f)/d^2*polylog(2,b*f^(d*x)*f^c/(-1-a))*c+1/2/ln(f)^2/d^2*polylog(3,b*f^(d*x)*f^c/(-1-a))-1/4/d^2*c^2*ln(1+a+f^c*f^(d*x)*b)+1/2/ln(f)/d^2*c*dilog((1+a+f^c*f^(d*x)*b)/(1+a))+1/2/d*c*ln((1+a+f^c*f^(d*x)*b)/(1+a))*x+1/2/d^2*c^2*ln((1+a+f^c*f^(d*x)*b)/(1+a))","B"
354,1,672,252,0.131000," ","int(x^2*arctanh(a+b*f^(d*x+c)),x)","\frac{x^{3} \ln \left(1+a +b \,f^{d x +c}\right)}{6}-\frac{x^{3} \ln \left(1-a -b \,f^{d x +c}\right)}{6}+\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{1-a}\right) x^{3}}{6}-\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{1-a}\right) x \,c^{2}}{2 d^{2}}-\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{1-a}\right) c^{3}}{3 d^{3}}+\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{1-a}\right) x^{2}}{2 \ln \left(f \right) d}-\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{1-a}\right) c^{2}}{2 \ln \left(f \right) d^{3}}-\frac{\polylog \left(3, \frac{b \,f^{d x} f^{c}}{1-a}\right) x}{\ln \left(f \right)^{2} d^{2}}+\frac{\polylog \left(4, \frac{b \,f^{d x} f^{c}}{1-a}\right)}{\ln \left(f \right)^{3} d^{3}}-\frac{c^{3} \ln \left(1-a -f^{c} f^{d x} b \right)}{6 d^{3}}+\frac{c^{2} \dilog \left(\frac{f^{c} f^{d x} b +a -1}{a -1}\right)}{2 \ln \left(f \right) d^{3}}+\frac{c^{2} \ln \left(\frac{f^{c} f^{d x} b +a -1}{a -1}\right) x}{2 d^{2}}+\frac{c^{3} \ln \left(\frac{f^{c} f^{d x} b +a -1}{a -1}\right)}{2 d^{3}}-\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{-1-a}\right) x^{3}}{6}+\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{-1-a}\right) x \,c^{2}}{2 d^{2}}+\frac{\ln \left(1-\frac{b \,f^{d x} f^{c}}{-1-a}\right) c^{3}}{3 d^{3}}-\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{-1-a}\right) x^{2}}{2 \ln \left(f \right) d}+\frac{\polylog \left(2, \frac{b \,f^{d x} f^{c}}{-1-a}\right) c^{2}}{2 \ln \left(f \right) d^{3}}+\frac{\polylog \left(3, \frac{b \,f^{d x} f^{c}}{-1-a}\right) x}{\ln \left(f \right)^{2} d^{2}}-\frac{\polylog \left(4, \frac{b \,f^{d x} f^{c}}{-1-a}\right)}{\ln \left(f \right)^{3} d^{3}}+\frac{c^{3} \ln \left(1+a +f^{c} f^{d x} b \right)}{6 d^{3}}-\frac{c^{2} \dilog \left(\frac{1+a +f^{c} f^{d x} b}{1+a}\right)}{2 \ln \left(f \right) d^{3}}-\frac{c^{2} \ln \left(\frac{1+a +f^{c} f^{d x} b}{1+a}\right) x}{2 d^{2}}-\frac{c^{3} \ln \left(\frac{1+a +f^{c} f^{d x} b}{1+a}\right)}{2 d^{3}}"," ",0,"1/6*x^3*ln(1+a+b*f^(d*x+c))-1/6*x^3*ln(1-a-b*f^(d*x+c))+1/6*ln(1-b*f^(d*x)*f^c/(1-a))*x^3-1/2/d^2*ln(1-b*f^(d*x)*f^c/(1-a))*x*c^2-1/3/d^3*ln(1-b*f^(d*x)*f^c/(1-a))*c^3+1/2/ln(f)/d*polylog(2,b*f^(d*x)*f^c/(1-a))*x^2-1/2/ln(f)/d^3*polylog(2,b*f^(d*x)*f^c/(1-a))*c^2-1/ln(f)^2/d^2*polylog(3,b*f^(d*x)*f^c/(1-a))*x+1/ln(f)^3/d^3*polylog(4,b*f^(d*x)*f^c/(1-a))-1/6/d^3*c^3*ln(1-a-f^c*f^(d*x)*b)+1/2/ln(f)/d^3*c^2*dilog((f^c*f^(d*x)*b+a-1)/(a-1))+1/2/d^2*c^2*ln((f^c*f^(d*x)*b+a-1)/(a-1))*x+1/2/d^3*c^3*ln((f^c*f^(d*x)*b+a-1)/(a-1))-1/6*ln(1-b*f^(d*x)*f^c/(-1-a))*x^3+1/2/d^2*ln(1-b*f^(d*x)*f^c/(-1-a))*x*c^2+1/3/d^3*ln(1-b*f^(d*x)*f^c/(-1-a))*c^3-1/2/ln(f)/d*polylog(2,b*f^(d*x)*f^c/(-1-a))*x^2+1/2/ln(f)/d^3*polylog(2,b*f^(d*x)*f^c/(-1-a))*c^2+1/ln(f)^2/d^2*polylog(3,b*f^(d*x)*f^c/(-1-a))*x-1/ln(f)^3/d^3*polylog(4,b*f^(d*x)*f^c/(-1-a))+1/6/d^3*c^3*ln(1+a+f^c*f^(d*x)*b)-1/2/ln(f)/d^3*c^2*dilog((1+a+f^c*f^(d*x)*b)/(1+a))-1/2/d^2*c^2*ln((1+a+f^c*f^(d*x)*b)/(1+a))*x-1/2/d^3*c^3*ln((1+a+f^c*f^(d*x)*b)/(1+a))","B"
355,1,868,92,0.686000," ","int(exp(c*(b*x+a))*arctanh(sinh(b*c*x+a*c)),x)","\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{2 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{2 b c}-\frac{i {\mathrm e}^{c \left(b x +a \right)} \pi}{2 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{2 c \left(b x +a \right)}-2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{2 b c}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(1+\sqrt{2}\right)^{2}\right) \sqrt{2}}{2 b c}-\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(\sqrt{2}-1\right)^{2}\right) \sqrt{2}}{2 b c}-\frac{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(1+\sqrt{2}\right)^{2}\right)}{2 b c}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(\sqrt{2}-1\right)^{2}\right)}{2 b c}"," ",0,"1/2/b/c*exp(c*(b*x+a))*ln(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1)+1/4*I/b/c*Pi*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))*csgn(I*exp(-c*(b*x+a)))*csgn(I*exp(-c*(b*x+a))*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))*csgn(I*exp(-c*(b*x+a))*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))^2*exp(c*(b*x+a))+1/2*I/b/c*Pi*csgn(I*exp(-c*(b*x+a))*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))^2*exp(c*(b*x+a))-1/2*I/b/c*exp(c*(b*x+a))*Pi+1/4*I/b/c*Pi*csgn(I*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))*csgn(I*exp(-c*(b*x+a))*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a))*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))^3*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a)))*csgn(I*exp(-c*(b*x+a))*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a)))*csgn(I*exp(-c*(b*x+a))*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))^2*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a))*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))^3*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))*csgn(I*exp(-c*(b*x+a)))*csgn(I*exp(-c*(b*x+a))*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))*exp(c*(b*x+a))-1/2/b/c*exp(c*(b*x+a))*ln(exp(2*c*(b*x+a))-2*exp(c*(b*x+a))-1)+1/2/b/c*ln(exp(2*c*(b*x+a))-(1+2^(1/2))^2)*2^(1/2)-1/2/b/c*ln(exp(2*c*(b*x+a))-(2^(1/2)-1)^2)*2^(1/2)-2*a/b+1/2/b/c*ln(exp(2*c*(b*x+a))-(1+2^(1/2))^2)+1/2/b/c*ln(exp(2*c*(b*x+a))-(2^(1/2)-1)^2)","C"
356,1,887,47,0.551000," ","int(exp(c*(b*x+a))*arctanh(cosh(b*c*x+a*c)),x)","\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{c \left(b x +a \right)}+1\right)}{b c}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{2 b c}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{2 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i {\mathrm e}^{c \left(b x +a \right)} \pi}{2 b c}-\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(i {\mathrm e}^{-c \left(b x +a \right)} \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{2 b c}-\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{b c}-\frac{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)}{b c}"," ",0,"1/b/c*exp(c*(b*x+a))*ln(exp(c*(b*x+a))+1)+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1)^2)^3*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a)))*csgn(I*(exp(c*(b*x+a))-1)^2)*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))-1)^2)*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1)^2)*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))-1)^2)^2*exp(c*(b*x+a))+1/2*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1))*csgn(I*(exp(c*(b*x+a))+1)^2)^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))+1)^2)^3*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a)))*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))-1)^2)^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1))^2*csgn(I*(exp(c*(b*x+a))+1)^2)*exp(c*(b*x+a))-1/2*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1))*csgn(I*(exp(c*(b*x+a))-1)^2)^2*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a)))*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))+1)^2)^2*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1)^2)*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))+1)^2)^2*exp(c*(b*x+a))-1/2*I/b/c*exp(c*(b*x+a))*Pi-1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))-1)^2)^3*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*exp(-c*(b*x+a)))*csgn(I*(exp(c*(b*x+a))+1)^2)*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))+1)^2)*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1))^2*csgn(I*(exp(c*(b*x+a))-1)^2)*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1)^2)^3*exp(c*(b*x+a))+1/2*I/b/c*Pi*csgn(I*exp(-c*(b*x+a))*(exp(c*(b*x+a))-1)^2)^2*exp(c*(b*x+a))-1/b/c*exp(c*(b*x+a))*ln(exp(c*(b*x+a))-1)-2*a/b+1/b/c*ln(exp(2*c*(b*x+a))-1)","C"
357,1,68,43,0.174000," ","int(exp(c*(b*x+a))*arctanh(tanh(b*c*x+a*c)),x)","\frac{\left(x b c +a c \right) {\mathrm e}^{x b c +a c}-{\mathrm e}^{x b c +a c}+{\mathrm e}^{x b c +a c} \left(\arctanh \left(\tanh \left(x b c +a c \right)\right)-x b c -a c \right)}{b c}"," ",0,"1/b/c*((b*c*x+a*c)*exp(b*c*x+a*c)-exp(b*c*x+a*c)+exp(b*c*x+a*c)*(arctanh(tanh(b*c*x+a*c))-x*b*c-a*c))","A"
358,1,351,43,0.308000," ","int(exp(c*(b*x+a))*arctanh(coth(b*c*x+a*c)),x)","\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{c \left(b x +a \right)}\right)}{b c}+\frac{i \left(2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2}-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{3}-\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 c \left(b x +a \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 c \left(b x +a \right)}}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)+\pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 c \left(b x +a \right)}}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{c \left(b x +a \right)}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 c \left(b x +a \right)}\right)+2 \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{c \left(b x +a \right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 c \left(b x +a \right)}\right)^{2}-\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 c \left(b x +a \right)}\right)^{3}+\pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 c \left(b x +a \right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 c \left(b x +a \right)}}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2}-\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 c \left(b x +a \right)}}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{3}+4 i-2 \pi \right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}"," ",0,"1/b/c*exp(c*(b*x+a))*ln(exp(c*(b*x+a)))+1/4*I*(2*Pi*csgn(I/(exp(2*c*(b*x+a))-1))^2-2*Pi*csgn(I/(exp(2*c*(b*x+a))-1))^3-Pi*csgn(I/(exp(2*c*(b*x+a))-1))*csgn(I*exp(2*c*(b*x+a)))*csgn(I*exp(2*c*(b*x+a))/(exp(2*c*(b*x+a))-1))+Pi*csgn(I/(exp(2*c*(b*x+a))-1))*csgn(I*exp(2*c*(b*x+a))/(exp(2*c*(b*x+a))-1))^2-Pi*csgn(I*exp(c*(b*x+a)))^2*csgn(I*exp(2*c*(b*x+a)))+2*Pi*csgn(I*exp(c*(b*x+a)))*csgn(I*exp(2*c*(b*x+a)))^2-Pi*csgn(I*exp(2*c*(b*x+a)))^3+Pi*csgn(I*exp(2*c*(b*x+a)))*csgn(I*exp(2*c*(b*x+a))/(exp(2*c*(b*x+a))-1))^2-Pi*csgn(I*exp(2*c*(b*x+a))/(exp(2*c*(b*x+a))-1))^3+4*I-2*Pi)/b/c*exp(c*(b*x+a))","C"
359,1,872,47,0.379000," ","int(exp(c*(b*x+a))*arctanh(sech(b*c*x+a*c)),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{2 b c}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}-1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{2 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{c \left(b x +a \right)}+1\right)^{2}}{{\mathrm e}^{2 c \left(b x +a \right)}+1}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{c \left(b x +a \right)}+1\right)}{b c}-\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{c \left(b x +a \right)}-1\right)}{b c}-\frac{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-1\right)}{b c}"," ",0,"-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1)^2)*csgn(I/(exp(2*c*(b*x+a))+1))*csgn(I*(exp(c*(b*x+a))+1)^2/(exp(2*c*(b*x+a))+1))*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1))^2*csgn(I*(exp(c*(b*x+a))+1)^2)*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1))^2*csgn(I*(exp(c*(b*x+a))-1)^2)*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1)^2/(exp(2*c*(b*x+a))+1))^3*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I/(exp(2*c*(b*x+a))+1))*csgn(I*(exp(c*(b*x+a))+1)^2/(exp(2*c*(b*x+a))+1))^2*exp(c*(b*x+a))-1/2*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1))*csgn(I*(exp(c*(b*x+a))-1)^2)^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1)^2)^3*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1)^2)^3*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1)^2)*csgn(I/(exp(2*c*(b*x+a))+1))*csgn(I*(exp(c*(b*x+a))-1)^2/(exp(2*c*(b*x+a))+1))*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))-1)^2)*csgn(I*(exp(c*(b*x+a))-1)^2/(exp(2*c*(b*x+a))+1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I/(exp(2*c*(b*x+a))+1))*csgn(I*(exp(c*(b*x+a))-1)^2/(exp(2*c*(b*x+a))+1))^2*exp(c*(b*x+a))+1/2*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1))*csgn(I*(exp(c*(b*x+a))+1)^2)^2*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1)^2)*csgn(I*(exp(c*(b*x+a))+1)^2/(exp(2*c*(b*x+a))+1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(c*(b*x+a))+1)^2/(exp(2*c*(b*x+a))+1))^3*exp(c*(b*x+a))+1/b/c*exp(c*(b*x+a))*ln(exp(c*(b*x+a))+1)-1/b/c*exp(c*(b*x+a))*ln(exp(c*(b*x+a))-1)-2*a/b+1/b/c*ln(exp(2*c*(b*x+a))-1)","C"
360,1,842,92,0.559000," ","int(exp(c*(b*x+a))*arctanh(csch(b*c*x+a*c)),x)","\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{2 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(-{\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}+1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}+\frac{i \pi  \,\mathrm{csgn}\left(i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)\right) \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{2} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{2 c \left(b x +a \right)}+2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{{\mathrm e}^{2 c \left(b x +a \right)}-1}\right)^{3} {\mathrm e}^{c \left(b x +a \right)}}{4 b c}-\frac{{\mathrm e}^{c \left(b x +a \right)} \ln \left({\mathrm e}^{2 c \left(b x +a \right)}-2 \,{\mathrm e}^{c \left(b x +a \right)}-1\right)}{2 b c}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(1+\sqrt{2}\right)^{2}\right) \sqrt{2}}{2 b c}-\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(\sqrt{2}-1\right)^{2}\right) \sqrt{2}}{2 b c}-\frac{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(1+\sqrt{2}\right)^{2}\right)}{2 b c}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(\sqrt{2}-1\right)^{2}\right)}{2 b c}"," ",0,"1/2/b/c*exp(c*(b*x+a))*ln(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1)+1/4*I/b/c*Pi*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))*csgn(I/(exp(2*c*(b*x+a))-1))*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1)/(exp(2*c*(b*x+a))-1))*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1))*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1)/(exp(2*c*(b*x+a))-1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I/(exp(2*c*(b*x+a))-1))*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1)/(exp(2*c*(b*x+a))-1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))*csgn(I/(exp(2*c*(b*x+a))-1))*csgn(I/(exp(2*c*(b*x+a))-1)*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I/(exp(2*c*(b*x+a))-1))*csgn(I/(exp(2*c*(b*x+a))-1)*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I*(-exp(2*c*(b*x+a))+2*exp(c*(b*x+a))+1)/(exp(2*c*(b*x+a))-1))^3*exp(c*(b*x+a))+1/4*I/b/c*Pi*csgn(I*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))*csgn(I/(exp(2*c*(b*x+a))-1)*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))^2*exp(c*(b*x+a))-1/4*I/b/c*Pi*csgn(I/(exp(2*c*(b*x+a))-1)*(exp(2*c*(b*x+a))+2*exp(c*(b*x+a))-1))^3*exp(c*(b*x+a))-1/2/b/c*exp(c*(b*x+a))*ln(exp(2*c*(b*x+a))-2*exp(c*(b*x+a))-1)+1/2/b/c*ln(exp(2*c*(b*x+a))-(1+2^(1/2))^2)*2^(1/2)-1/2/b/c*ln(exp(2*c*(b*x+a))-(2^(1/2)-1)^2)*2^(1/2)-2*a/b+1/2/b/c*ln(exp(2*c*(b*x+a))-(1+2^(1/2))^2)+1/2/b/c*ln(exp(2*c*(b*x+a))-(2^(1/2)-1)^2)","C"
361,1,668,122,0.403000," ","int((a+b*arctanh(c*x^n))*(d+e*ln(f*x^m))/x,x)","-\frac{e b m \ln \left(x \right) \polylog \left(2, -c \,x^{n}\right)}{2 n}+\frac{e b \dilog \left(c \,x^{n}+1\right) m \ln \left(x \right)}{2 n}+\frac{e b m \ln \left(x \right) \polylog \left(2, c \,x^{n}\right)}{2 n}+\frac{e b \dilog \left(c \,x^{n}\right) m \ln \left(x \right)}{2 n}+\frac{\ln \left(x^{n}\right) a d}{n}+\frac{e a \ln \left(x^{m}\right)^{2}}{2 m}+\frac{i \dilog \left(c \,x^{n}+1\right) \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{4 n}-\frac{i \dilog \left(1-c \,x^{n}\right) \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{4 n}-\frac{i \ln \left(x^{n}\right) \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{2 n}+\frac{b e m \polylog \left(3, -c \,x^{n}\right)}{2 n^{2}}-\frac{b e m \polylog \left(3, c \,x^{n}\right)}{2 n^{2}}-\frac{e b \dilog \left(c \,x^{n}+1\right) \ln \left(x^{m}\right)}{2 n}-\frac{e b \dilog \left(c \,x^{n}\right) \ln \left(x^{m}\right)}{2 n}+\frac{\dilog \left(1-c \,x^{n}\right) \ln \left(f \right) b e}{2 n}-\frac{\dilog \left(c \,x^{n}+1\right) \ln \left(f \right) b e}{2 n}+\frac{i \ln \left(x^{n}\right) \pi  a e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2 n}+\frac{i \dilog \left(1-c \,x^{n}\right) \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}+\frac{e b \ln \left(1-c \,x^{n}\right) \ln \left(c \,x^{n}\right) m \ln \left(x \right)}{2 n}+\frac{\ln \left(x^{n}\right) \ln \left(f \right) a e}{n}-\frac{i \dilog \left(c \,x^{n}+1\right) \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}+\frac{i \dilog \left(1-c \,x^{n}\right) \pi  b e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}-\frac{i \dilog \left(c \,x^{n}+1\right) \pi  b e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}-\frac{e b \ln \left(1-c \,x^{n}\right) \ln \left(c \,x^{n}\right) \ln \left(x^{m}\right)}{2 n}-\frac{\dilog \left(c \,x^{n}+1\right) b d}{2 n}+\frac{\dilog \left(1-c \,x^{n}\right) b d}{2 n}+\frac{i \ln \left(x^{n}\right) \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2 n}-\frac{i \ln \left(x^{n}\right) \pi  a e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{2 n}-\frac{i \dilog \left(1-c \,x^{n}\right) \pi  b e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 n}+\frac{i \dilog \left(c \,x^{n}+1\right) \pi  b e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 n}"," ",0,"-1/2*e*b/n*m*ln(x)*polylog(2,-c*x^n)+1/2*e*b/n*dilog(c*x^n+1)*m*ln(x)-1/2/n*dilog(c*x^n+1)*b*d+1/n*ln(x^n)*a*d+1/2/n*dilog(1-c*x^n)*b*d+1/2*e*a/m*ln(x^m)^2-1/2*I/n*ln(x^n)*Pi*a*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*I/n*dilog(c*x^n+1)*Pi*b*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*I/n*dilog(1-c*x^n)*Pi*b*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*I/n*dilog(1-c*x^n)*Pi*b*e*csgn(I*f)*csgn(I*f*x^m)^2-1/4*I/n*dilog(c*x^n+1)*Pi*b*e*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I/n*ln(x^n)*Pi*a*e*csgn(I*f)*csgn(I*f*x^m)^2+1/4*I/n*dilog(1-c*x^n)*Pi*b*e*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I/n*ln(x^n)*Pi*a*e*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*b*e*m*polylog(3,-c*x^n)/n^2-1/2*b*e*m*polylog(3,c*x^n)/n^2-1/4*I/n*dilog(c*x^n+1)*Pi*b*e*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*e*b/n*ln(1-c*x^n)*ln(c*x^n)*m*ln(x)-1/2*e*b/n*dilog(c*x^n+1)*ln(x^m)-1/2*e*b/n*dilog(c*x^n)*ln(x^m)+1/n*ln(x^n)*ln(f)*a*e+1/2/n*dilog(1-c*x^n)*ln(f)*b*e-1/4*I/n*dilog(1-c*x^n)*Pi*b*e*csgn(I*f*x^m)^3+1/4*I/n*dilog(c*x^n+1)*Pi*b*e*csgn(I*f*x^m)^3-1/2*I/n*ln(x^n)*Pi*a*e*csgn(I*f*x^m)^3+1/2*e*b/n*m*ln(x)*polylog(2,c*x^n)-1/2*e*b/n*ln(1-c*x^n)*ln(c*x^n)*ln(x^m)+1/2*e*b/n*dilog(c*x^n)*m*ln(x)-1/2/n*dilog(c*x^n+1)*ln(f)*b*e","C"