1,1,55,41,0.030000," ","int(x^5*arccoth(a*x),x)","\frac{x^{6} \mathrm{arccoth}\left(a x \right)}{6}+\frac{x^{5}}{30 a}+\frac{x^{3}}{18 a^{3}}+\frac{x}{6 a^{5}}+\frac{\ln \left(a x -1\right)}{12 a^{6}}-\frac{\ln \left(a x +1\right)}{12 a^{6}}"," ",0,"1/6*x^6*arccoth(a*x)+1/30*x^5/a+1/18*x^3/a^3+1/6*x/a^5+1/12/a^6*ln(a*x-1)-1/12*ln(a*x+1)/a^6","A"
2,1,49,42,0.034000," ","int(x^4*arccoth(a*x),x)","\frac{x^{5} \mathrm{arccoth}\left(a x \right)}{5}+\frac{x^{4}}{20 a}+\frac{x^{2}}{10 a^{3}}+\frac{\ln \left(a x -1\right)}{10 a^{5}}+\frac{\ln \left(a x +1\right)}{10 a^{5}}"," ",0,"1/5*x^5*arccoth(a*x)+1/20*x^4/a+1/10*x^2/a^3+1/10/a^5*ln(a*x-1)+1/10*ln(a*x+1)/a^5","A"
3,1,47,33,0.033000," ","int(x^3*arccoth(a*x),x)","\frac{x^{4} \mathrm{arccoth}\left(a x \right)}{4}+\frac{x^{3}}{12 a}+\frac{x}{4 a^{3}}+\frac{\ln \left(a x -1\right)}{8 a^{4}}-\frac{\ln \left(a x +1\right)}{8 a^{4}}"," ",0,"1/4*x^4*arccoth(a*x)+1/12*x^3/a+1/4*x/a^3+1/8/a^4*ln(a*x-1)-1/8*ln(a*x+1)/a^4","A"
4,1,41,34,0.030000," ","int(x^2*arccoth(a*x),x)","\frac{x^{3} \mathrm{arccoth}\left(a x \right)}{3}+\frac{x^{2}}{6 a}+\frac{\ln \left(a x -1\right)}{6 a^{3}}+\frac{\ln \left(a x +1\right)}{6 a^{3}}"," ",0,"1/3*x^3*arccoth(a*x)+1/6*x^2/a+1/6/a^3*ln(a*x-1)+1/6/a^3*ln(a*x+1)","A"
5,1,39,25,0.032000," ","int(x*arccoth(a*x),x)","\frac{x^{2} \mathrm{arccoth}\left(a x \right)}{2}+\frac{x}{2 a}+\frac{\ln \left(a x -1\right)}{4 a^{2}}-\frac{\ln \left(a x +1\right)}{4 a^{2}}"," ",0,"1/2*x^2*arccoth(a*x)+1/2*x/a+1/4/a^2*ln(a*x-1)-1/4/a^2*ln(a*x+1)","A"
6,1,23,23,0.044000," ","int(arccoth(a*x),x)","x \,\mathrm{arccoth}\left(a x \right)+\frac{\ln \left(a^{2} x^{2}-1\right)}{2 a}"," ",0,"x*arccoth(a*x)+1/2/a*ln(a^2*x^2-1)","A"
7,1,37,24,0.049000," ","int(arccoth(a*x)/x,x)","\ln \left(a x \right) \mathrm{arccoth}\left(a x \right)-\frac{\dilog \left(a x \right)}{2}-\frac{\dilog \left(a x +1\right)}{2}-\frac{\ln \left(a x \right) \ln \left(a x +1\right)}{2}"," ",0,"ln(a*x)*arccoth(a*x)-1/2*dilog(a*x)-1/2*dilog(a*x+1)-1/2*ln(a*x)*ln(a*x+1)","A"
8,1,35,28,0.037000," ","int(arccoth(a*x)/x^2,x)","-\frac{\mathrm{arccoth}\left(a x \right)}{x}+a \ln \left(a x \right)-\frac{a \ln \left(a x -1\right)}{2}-\frac{a \ln \left(a x +1\right)}{2}"," ",0,"-arccoth(a*x)/x+a*ln(a*x)-1/2*a*ln(a*x-1)-1/2*a*ln(a*x+1)","A"
9,1,39,25,0.037000," ","int(arccoth(a*x)/x^3,x)","-\frac{\mathrm{arccoth}\left(a x \right)}{2 x^{2}}-\frac{a}{2 x}-\frac{a^{2} \ln \left(a x -1\right)}{4}+\frac{a^{2} \ln \left(a x +1\right)}{4}"," ",0,"-1/2*arccoth(a*x)/x^2-1/2*a/x-1/4*a^2*ln(a*x-1)+1/4*a^2*ln(a*x+1)","A"
10,1,48,39,0.039000," ","int(arccoth(a*x)/x^4,x)","-\frac{\mathrm{arccoth}\left(a x \right)}{3 x^{3}}-\frac{a}{6 x^{2}}+\frac{a^{3} \ln \left(a x \right)}{3}-\frac{a^{3} \ln \left(a x -1\right)}{6}-\frac{a^{3} \ln \left(a x +1\right)}{6}"," ",0,"-1/3*arccoth(a*x)/x^3-1/6*a/x^2+1/3*a^3*ln(a*x)-1/6*a^3*ln(a*x-1)-1/6*a^3*ln(a*x+1)","A"
11,1,47,33,0.038000," ","int(arccoth(a*x)/x^5,x)","-\frac{\mathrm{arccoth}\left(a x \right)}{4 x^{4}}-\frac{a}{12 x^{3}}-\frac{a^{3}}{4 x}-\frac{a^{4} \ln \left(a x -1\right)}{8}+\frac{a^{4} \ln \left(a x +1\right)}{8}"," ",0,"-1/4*arccoth(a*x)/x^4-1/12*a/x^3-1/4*a^3/x-1/8*a^4*ln(a*x-1)+1/8*a^4*ln(a*x+1)","A"
12,1,196,89,0.059000," ","int(x^5*arccoth(a*x)^2,x)","\frac{x^{6} \mathrm{arccoth}\left(a x \right)^{2}}{6}+\frac{x^{5} \mathrm{arccoth}\left(a x \right)}{15 a}+\frac{x^{3} \mathrm{arccoth}\left(a x \right)}{9 a^{3}}+\frac{x \,\mathrm{arccoth}\left(a x \right)}{3 a^{5}}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{6 a^{6}}-\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{6 a^{6}}+\frac{\ln \left(a x -1\right)^{2}}{24 a^{6}}-\frac{\ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{12 a^{6}}+\frac{\ln \left(a x +1\right)^{2}}{24 a^{6}}-\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{12 a^{6}}+\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{12 a^{6}}+\frac{x^{4}}{60 a^{2}}+\frac{4 x^{2}}{45 a^{4}}+\frac{23 \ln \left(a x -1\right)}{90 a^{6}}+\frac{23 \ln \left(a x +1\right)}{90 a^{6}}"," ",0,"1/6*x^6*arccoth(a*x)^2+1/15*x^5*arccoth(a*x)/a+1/9*x^3*arccoth(a*x)/a^3+1/3*x*arccoth(a*x)/a^5+1/6/a^6*arccoth(a*x)*ln(a*x-1)-1/6/a^6*arccoth(a*x)*ln(a*x+1)+1/24/a^6*ln(a*x-1)^2-1/12/a^6*ln(a*x-1)*ln(1/2+1/2*a*x)+1/24/a^6*ln(a*x+1)^2-1/12/a^6*ln(-1/2*a*x+1/2)*ln(a*x+1)+1/12/a^6*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)+1/60*x^4/a^2+4/45*x^2/a^4+23/90/a^6*ln(a*x-1)+23/90*ln(a*x+1)/a^6","B"
13,1,196,109,0.059000," ","int(x^4*arccoth(a*x)^2,x)","\frac{x^{5} \mathrm{arccoth}\left(a x \right)^{2}}{5}+\frac{x^{4} \mathrm{arccoth}\left(a x \right)}{10 a}+\frac{x^{2} \mathrm{arccoth}\left(a x \right)}{5 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{5 a^{5}}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{5 a^{5}}+\frac{x^{3}}{30 a^{2}}+\frac{3 x}{10 a^{4}}+\frac{3 \ln \left(a x -1\right)}{20 a^{5}}-\frac{3 \ln \left(a x +1\right)}{20 a^{5}}+\frac{\ln \left(a x -1\right)^{2}}{20 a^{5}}-\frac{\dilog \left(\frac{1}{2}+\frac{a x}{2}\right)}{5 a^{5}}-\frac{\ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{10 a^{5}}-\frac{\ln \left(a x +1\right)^{2}}{20 a^{5}}-\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{10 a^{5}}+\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{10 a^{5}}"," ",0,"1/5*x^5*arccoth(a*x)^2+1/10*x^4*arccoth(a*x)/a+1/5*x^2*arccoth(a*x)/a^3+1/5/a^5*arccoth(a*x)*ln(a*x-1)+1/5/a^5*arccoth(a*x)*ln(a*x+1)+1/30*x^3/a^2+3/10*x/a^4+3/20/a^5*ln(a*x-1)-3/20*ln(a*x+1)/a^5+1/20/a^5*ln(a*x-1)^2-1/5/a^5*dilog(1/2+1/2*a*x)-1/10/a^5*ln(a*x-1)*ln(1/2+1/2*a*x)-1/20/a^5*ln(a*x+1)^2-1/10/a^5*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)+1/10/a^5*ln(-1/2*a*x+1/2)*ln(a*x+1)","A"
14,1,176,69,0.058000," ","int(x^3*arccoth(a*x)^2,x)","\frac{x^{4} \mathrm{arccoth}\left(a x \right)^{2}}{4}+\frac{x^{3} \mathrm{arccoth}\left(a x \right)}{6 a}+\frac{x \,\mathrm{arccoth}\left(a x \right)}{2 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{4 a^{4}}-\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{4 a^{4}}+\frac{\ln \left(a x -1\right)^{2}}{16 a^{4}}-\frac{\ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{8 a^{4}}+\frac{\ln \left(a x +1\right)^{2}}{16 a^{4}}+\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{8 a^{4}}-\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{8 a^{4}}+\frac{x^{2}}{12 a^{2}}+\frac{\ln \left(a x -1\right)}{3 a^{4}}+\frac{\ln \left(a x +1\right)}{3 a^{4}}"," ",0,"1/4*x^4*arccoth(a*x)^2+1/6*x^3*arccoth(a*x)/a+1/2*x*arccoth(a*x)/a^3+1/4/a^4*arccoth(a*x)*ln(a*x-1)-1/4/a^4*arccoth(a*x)*ln(a*x+1)+1/16/a^4*ln(a*x-1)^2-1/8/a^4*ln(a*x-1)*ln(1/2+1/2*a*x)+1/16/a^4*ln(a*x+1)^2+1/8/a^4*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)-1/8/a^4*ln(-1/2*a*x+1/2)*ln(a*x+1)+1/12*x^2/a^2+1/3/a^4*ln(a*x-1)+1/3*ln(a*x+1)/a^4","B"
15,1,176,89,0.059000," ","int(x^2*arccoth(a*x)^2,x)","\frac{x^{3} \mathrm{arccoth}\left(a x \right)^{2}}{3}+\frac{x^{2} \mathrm{arccoth}\left(a x \right)}{3 a}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{3 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{3 a^{3}}+\frac{x}{3 a^{2}}+\frac{\ln \left(a x -1\right)}{6 a^{3}}-\frac{\ln \left(a x +1\right)}{6 a^{3}}+\frac{\ln \left(a x -1\right)^{2}}{12 a^{3}}-\frac{\dilog \left(\frac{1}{2}+\frac{a x}{2}\right)}{3 a^{3}}-\frac{\ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{6 a^{3}}-\frac{\ln \left(a x +1\right)^{2}}{12 a^{3}}-\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{6 a^{3}}+\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{6 a^{3}}"," ",0,"1/3*x^3*arccoth(a*x)^2+1/3*x^2*arccoth(a*x)/a+1/3/a^3*arccoth(a*x)*ln(a*x-1)+1/3/a^3*arccoth(a*x)*ln(a*x+1)+1/3*x/a^2+1/6/a^3*ln(a*x-1)-1/6/a^3*ln(a*x+1)+1/12/a^3*ln(a*x-1)^2-1/3/a^3*dilog(1/2+1/2*a*x)-1/6/a^3*ln(a*x-1)*ln(1/2+1/2*a*x)-1/12/a^3*ln(a*x+1)^2-1/6/a^3*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)+1/6/a^3*ln(-1/2*a*x+1/2)*ln(a*x+1)","A"
16,1,155,48,0.060000," ","int(x*arccoth(a*x)^2,x)","\frac{x^{2} \mathrm{arccoth}\left(a x \right)^{2}}{2}+\frac{x \,\mathrm{arccoth}\left(a x \right)}{a}+\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{2 a^{2}}-\frac{\mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{2 a^{2}}+\frac{\ln \left(a x -1\right)^{2}}{8 a^{2}}-\frac{\ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{4 a^{2}}+\frac{\ln \left(a x -1\right)}{2 a^{2}}+\frac{\ln \left(a x +1\right)}{2 a^{2}}+\frac{\ln \left(a x +1\right)^{2}}{8 a^{2}}+\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{4 a^{2}}-\frac{\ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{4 a^{2}}"," ",0,"1/2*x^2*arccoth(a*x)^2+x*arccoth(a*x)/a+1/2/a^2*arccoth(a*x)*ln(a*x-1)-1/2/a^2*arccoth(a*x)*ln(a*x+1)+1/8/a^2*ln(a*x-1)^2-1/4/a^2*ln(a*x-1)*ln(1/2+1/2*a*x)+1/2/a^2*ln(a*x-1)+1/2/a^2*ln(a*x+1)+1/8/a^2*ln(a*x+1)^2+1/4/a^2*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)-1/4/a^2*ln(-1/2*a*x+1/2)*ln(a*x+1)","B"
17,1,122,58,0.303000," ","int(arccoth(a*x)^2,x)","x \mathrm{arccoth}\left(a x \right)^{2}+\frac{\mathrm{arccoth}\left(a x \right)^{2}}{a}-\frac{2 \,\mathrm{arccoth}\left(a x \right) \ln \left(1-\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}-\frac{2 \,\mathrm{arccoth}\left(a x \right) \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}-\frac{2 \polylog \left(2, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}-\frac{2 \polylog \left(2, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}"," ",0,"x*arccoth(a*x)^2+arccoth(a*x)^2/a-2/a*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-2/a*arccoth(a*x)*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-2/a*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-2/a*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))","B"
18,1,487,93,0.683000," ","int(arccoth(a*x)^2/x,x)","\ln \left(a x \right) \mathrm{arccoth}\left(a x \right)^{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right) \mathrm{arccoth}\left(a x \right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right) \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{2}+\mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x +1}{a x -1}-1\right)-\mathrm{arccoth}\left(a x \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-2 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)+2 \polylog \left(3, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-\mathrm{arccoth}\left(a x \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-2 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)+2 \polylog \left(3, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)+\mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{a x +1}{a x -1}\right)-\frac{\polylog \left(3, -\frac{a x +1}{a x -1}\right)}{2}"," ",0,"ln(a*x)*arccoth(a*x)^2+1/2*I*Pi*csgn(I*(1+(a*x+1)/(a*x-1)))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))*arccoth(a*x)^2-1/2*I*Pi*csgn(I*(1+(a*x+1)/(a*x-1)))*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*arccoth(a*x)^2-1/2*I*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*arccoth(a*x)^2+1/2*I*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^3*arccoth(a*x)^2+arccoth(a*x)^2*ln((a*x+1)/(a*x-1)-1)-arccoth(a*x)^2*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-2*arccoth(a*x)*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))+2*polylog(3,1/((a*x-1)/(a*x+1))^(1/2))-arccoth(a*x)^2*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-2*arccoth(a*x)*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+2*polylog(3,-1/((a*x-1)/(a*x+1))^(1/2))+arccoth(a*x)*polylog(2,-(a*x+1)/(a*x-1))-1/2*polylog(3,-(a*x+1)/(a*x-1))","C"
19,1,159,55,0.062000," ","int(arccoth(a*x)^2/x^2,x)","-\frac{\mathrm{arccoth}\left(a x \right)^{2}}{x}+2 a \,\mathrm{arccoth}\left(a x \right) \ln \left(a x \right)-a \,\mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)-a \,\mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)-\frac{a \ln \left(a x -1\right)^{2}}{4}+a \dilog \left(\frac{1}{2}+\frac{a x}{2}\right)+\frac{a \ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{2}+\frac{a \ln \left(a x +1\right)^{2}}{4}+\frac{a \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{2}-\frac{a \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{2}-a \dilog \left(a x \right)-a \dilog \left(a x +1\right)-a \ln \left(a x \right) \ln \left(a x +1\right)"," ",0,"-arccoth(a*x)^2/x+2*a*arccoth(a*x)*ln(a*x)-a*arccoth(a*x)*ln(a*x-1)-a*arccoth(a*x)*ln(a*x+1)-1/4*a*ln(a*x-1)^2+a*dilog(1/2+1/2*a*x)+1/2*a*ln(a*x-1)*ln(1/2+1/2*a*x)+1/4*a*ln(a*x+1)^2+1/2*a*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)-1/2*a*ln(-1/2*a*x+1/2)*ln(a*x+1)-a*dilog(a*x)-a*dilog(a*x+1)-a*ln(a*x)*ln(a*x+1)","B"
20,1,164,55,0.063000," ","int(arccoth(a*x)^2/x^3,x)","-\frac{\mathrm{arccoth}\left(a x \right)^{2}}{2 x^{2}}-\frac{a \,\mathrm{arccoth}\left(a x \right)}{x}-\frac{a^{2} \mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{2}+\frac{a^{2} \mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{2}-\frac{a^{2} \ln \left(a x -1\right)^{2}}{8}+\frac{a^{2} \ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{4}+a^{2} \ln \left(a x \right)-\frac{a^{2} \ln \left(a x -1\right)}{2}-\frac{a^{2} \ln \left(a x +1\right)}{2}-\frac{a^{2} \ln \left(a x +1\right)^{2}}{8}+\frac{a^{2} \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{4}-\frac{a^{2} \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{4}"," ",0,"-1/2*arccoth(a*x)^2/x^2-a*arccoth(a*x)/x-1/2*a^2*arccoth(a*x)*ln(a*x-1)+1/2*a^2*arccoth(a*x)*ln(a*x+1)-1/8*a^2*ln(a*x-1)^2+1/4*a^2*ln(a*x-1)*ln(1/2+1/2*a*x)+a^2*ln(a*x)-1/2*a^2*ln(a*x-1)-1/2*a^2*ln(a*x+1)-1/8*a^2*ln(a*x+1)^2+1/4*a^2*ln(-1/2*a*x+1/2)*ln(a*x+1)-1/4*a^2*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)","B"
21,1,224,89,0.068000," ","int(arccoth(a*x)^2/x^4,x)","-\frac{\mathrm{arccoth}\left(a x \right)^{2}}{3 x^{3}}-\frac{a \,\mathrm{arccoth}\left(a x \right)}{3 x^{2}}+\frac{2 a^{3} \mathrm{arccoth}\left(a x \right) \ln \left(a x \right)}{3}-\frac{a^{3} \mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{3}-\frac{a^{3} \mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{3}-\frac{a^{2}}{3 x}-\frac{a^{3} \ln \left(a x -1\right)}{6}+\frac{a^{3} \ln \left(a x +1\right)}{6}-\frac{a^{3} \ln \left(a x -1\right)^{2}}{12}+\frac{a^{3} \dilog \left(\frac{1}{2}+\frac{a x}{2}\right)}{3}+\frac{a^{3} \ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{6}+\frac{a^{3} \ln \left(a x +1\right)^{2}}{12}+\frac{a^{3} \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{6}-\frac{a^{3} \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{6}-\frac{a^{3} \dilog \left(a x \right)}{3}-\frac{a^{3} \dilog \left(a x +1\right)}{3}-\frac{a^{3} \ln \left(a x \right) \ln \left(a x +1\right)}{3}"," ",0,"-1/3*arccoth(a*x)^2/x^3-1/3*a*arccoth(a*x)/x^2+2/3*a^3*arccoth(a*x)*ln(a*x)-1/3*a^3*arccoth(a*x)*ln(a*x-1)-1/3*a^3*arccoth(a*x)*ln(a*x+1)-1/3*a^2/x-1/6*a^3*ln(a*x-1)+1/6*a^3*ln(a*x+1)-1/12*a^3*ln(a*x-1)^2+1/3*a^3*dilog(1/2+1/2*a*x)+1/6*a^3*ln(a*x-1)*ln(1/2+1/2*a*x)+1/12*a^3*ln(a*x+1)^2+1/6*a^3*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)-1/6*a^3*ln(-1/2*a*x+1/2)*ln(a*x+1)-1/3*a^3*dilog(a*x)-1/3*a^3*dilog(a*x+1)-1/3*a^3*ln(a*x)*ln(a*x+1)","B"
22,1,185,76,0.065000," ","int(arccoth(a*x)^2/x^5,x)","-\frac{\mathrm{arccoth}\left(a x \right)^{2}}{4 x^{4}}-\frac{a \,\mathrm{arccoth}\left(a x \right)}{6 x^{3}}-\frac{a^{3} \mathrm{arccoth}\left(a x \right)}{2 x}-\frac{a^{4} \mathrm{arccoth}\left(a x \right) \ln \left(a x -1\right)}{4}+\frac{a^{4} \mathrm{arccoth}\left(a x \right) \ln \left(a x +1\right)}{4}-\frac{a^{4} \ln \left(a x -1\right)^{2}}{16}+\frac{a^{4} \ln \left(a x -1\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{8}-\frac{a^{4} \ln \left(a x +1\right)^{2}}{16}-\frac{a^{4} \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{a x}{2}\right)}{8}+\frac{a^{4} \ln \left(-\frac{a x}{2}+\frac{1}{2}\right) \ln \left(a x +1\right)}{8}-\frac{a^{2}}{12 x^{2}}+\frac{2 a^{4} \ln \left(a x \right)}{3}-\frac{a^{4} \ln \left(a x -1\right)}{3}-\frac{a^{4} \ln \left(a x +1\right)}{3}"," ",0,"-1/4*arccoth(a*x)^2/x^4-1/6*a*arccoth(a*x)/x^3-1/2*a^3*arccoth(a*x)/x-1/4*a^4*arccoth(a*x)*ln(a*x-1)+1/4*a^4*arccoth(a*x)*ln(a*x+1)-1/16*a^4*ln(a*x-1)^2+1/8*a^4*ln(a*x-1)*ln(1/2+1/2*a*x)-1/16*a^4*ln(a*x+1)^2-1/8*a^4*ln(-1/2*a*x+1/2)*ln(1/2+1/2*a*x)+1/8*a^4*ln(-1/2*a*x+1/2)*ln(a*x+1)-1/12*a^2/x^2+2/3*a^4*ln(a*x)-1/3*a^4*ln(a*x-1)-1/3*a^4*ln(a*x+1)","B"
23,1,1141,160,3.610000," ","int(x^5*arccoth(a*x)^3,x)","\frac{23 \mathrm{arccoth}\left(a x \right)^{2}}{30 a^{6}}-\frac{\mathrm{arccoth}\left(a x \right)^{3}}{6 a^{6}}+\frac{x^{6} \mathrm{arccoth}\left(a x \right)^{3}}{6}+\frac{x^{5} \mathrm{arccoth}\left(a x \right)^{2}}{10 a}+\frac{x^{3} \mathrm{arccoth}\left(a x \right)^{2}}{6 a^{3}}+\frac{x^{4} \mathrm{arccoth}\left(a x \right)}{20 a^{2}}+\frac{4 x^{2} \mathrm{arccoth}\left(a x \right)}{15 a^{4}}+\frac{x \mathrm{arccoth}\left(a x \right)^{2}}{2 a^{5}}-\frac{19 \,\mathrm{arccoth}\left(a x \right)}{60 a^{6}}+\frac{1}{80 a^{6} \left(\sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}-a x \right)}-\frac{1}{80 a^{6} \left(\sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}+a x \right)}+\frac{\sqrt{\frac{a x -1}{a x +1}}}{120 a^{6} \left(2 \sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}+2 a x -1\right)}-\frac{x}{80 a^{5} \left(\sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}-a x \right)}+\frac{x}{80 a^{5} \left(\sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}+a x \right)}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right) \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{6}}-\frac{\sqrt{\frac{a x -1}{a x +1}}\, x}{120 a^{5} \left(2 \sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}-2 a x +1\right)}-\frac{\sqrt{\frac{a x -1}{a x +1}}\, x}{120 a^{5} \left(2 \sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}+2 a x -1\right)}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{6}}-\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{6}}+\frac{23 \dilog \left(\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{15 a^{6}}-\frac{23 \dilog \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{15 a^{6}}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{6}}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{6}}-\frac{i \pi  \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{6}}+\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{4 a^{6}}+\frac{\sqrt{\frac{a x -1}{a x +1}}}{120 a^{6} \left(2 \sqrt{\frac{a x -1}{a x +1}}\, a x +\sqrt{\frac{a x -1}{a x +1}}-2 a x +1\right)}+\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{4 a^{6}}-\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{4 a^{6}}-\frac{23 \,\mathrm{arccoth}\left(a x \right) \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{15 a^{6}}-\frac{41 \sqrt{\frac{a x -1}{a x +1}}}{120 a^{6} \left(\sqrt{\frac{a x -1}{a x +1}}+1\right)}-\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{4 a^{6}}-\frac{41 \sqrt{\frac{a x -1}{a x +1}}}{120 a^{6} \left(-1+\sqrt{\frac{a x -1}{a x +1}}\right)}"," ",0,"23/30*arccoth(a*x)^2/a^6-1/6*arccoth(a*x)^3/a^6+1/6*x^6*arccoth(a*x)^3+1/10*x^5*arccoth(a*x)^2/a+1/6*x^3*arccoth(a*x)^2/a^3+1/20*x^4*arccoth(a*x)/a^2+4/15*x^2*arccoth(a*x)/a^4+1/2*x*arccoth(a*x)^2/a^5-19/60/a^6*arccoth(a*x)+23/15/a^6*dilog(1/((a*x-1)/(a*x+1))^(1/2))+1/80/a^6/(((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)-a*x)-1/80/a^6/(((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)+a*x)-23/15/a^6*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))-1/8*I/a^6*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)^2+1/120/a^6*((a*x-1)/(a*x+1))^(1/2)/(2*((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)+2*a*x-1)-1/80/a^5/(((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)-a*x)*x+1/80/a^5/(((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)+a*x)*x-1/8*I/a^6*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)^2-1/120/a^5*((a*x-1)/(a*x+1))^(1/2)/(2*((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)-2*a*x+1)*x-1/120/a^5*((a*x-1)/(a*x+1))^(1/2)/(2*((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)+2*a*x-1)*x+1/8*I/a^6*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2+1/8*I/a^6*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2-1/8*I/a^6*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)^2+1/4*I/a^6*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)^2+1/120/a^6*((a*x-1)/(a*x+1))^(1/2)/(2*((a*x-1)/(a*x+1))^(1/2)*a*x+((a*x-1)/(a*x+1))^(1/2)-2*a*x+1)+1/4/a^6*arccoth(a*x)^2*ln(a*x-1)-1/4/a^6*arccoth(a*x)^2*ln(a*x+1)-23/15/a^6*arccoth(a*x)*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-41/120/a^6/(((a*x-1)/(a*x+1))^(1/2)+1)*((a*x-1)/(a*x+1))^(1/2)-1/4/a^6*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))-41/120/a^6/(-1+((a*x-1)/(a*x+1))^(1/2))*((a*x-1)/(a*x+1))^(1/2)-1/8*I/a^6*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)^2","C"
24,1,806,172,2.917000," ","int(x^4*arccoth(a*x)^3,x)","-\frac{9 \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}+\frac{\mathrm{arccoth}\left(a x \right)^{3}}{5 a^{5}}+\frac{x^{3} \mathrm{arccoth}\left(a x \right)}{10 a^{2}}+\frac{3 x^{2} \mathrm{arccoth}\left(a x \right)^{2}}{10 a^{3}}+\frac{3 x^{4} \mathrm{arccoth}\left(a x \right)^{2}}{20 a}+\frac{9 x \,\mathrm{arccoth}\left(a x \right)}{10 a^{4}}-\frac{1}{20 a^{5}}+\frac{x^{5} \mathrm{arccoth}\left(a x \right)^{3}}{5}+\frac{x^{2}}{20 a^{3}}+\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{10 a^{5}}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{5 a^{5}}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{5 a^{5}}+\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x +1}{a x -1}-1\right)}{5 a^{5}}+\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{10 a^{5}}+\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right) \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}+\frac{6 \polylog \left(3, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{5 a^{5}}+\frac{6 \polylog \left(3, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{5 a^{5}}+\frac{\mathrm{arccoth}\left(a x \right)}{a^{5}}-\frac{\ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{5}}-\frac{\ln \left(\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}-1\right)}{a^{5}}+\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}+\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}-\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}-\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}+\frac{3 i \pi  \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{arccoth}\left(a x \right)^{2}}{20 a^{5}}-\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{10 a^{5}}-\frac{6 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{5 a^{5}}-\frac{6 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{5 a^{5}}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(2\right)}{5 a^{5}}+\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{10 a^{5}}"," ",0,"-9/20*arccoth(a*x)^2/a^5+1/5*arccoth(a*x)^3/a^5+1/10*x^3*arccoth(a*x)/a^2+3/10*x^2*arccoth(a*x)^2/a^3+3/20*x^4*arccoth(a*x)^2/a+9/10*x*arccoth(a*x)/a^4-1/20/a^5+1/5*x^5*arccoth(a*x)^3+1/20*x^2/a^3+3/10/a^5*arccoth(a*x)^2*ln(a*x+1)-3/5/a^5*arccoth(a*x)^2*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-6/5/a^5*arccoth(a*x)*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-3/5/a^5*arccoth(a*x)^2*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-6/5/a^5*arccoth(a*x)*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+3/5/a^5*arccoth(a*x)^2*ln((a*x+1)/(a*x-1)-1)+3/10/a^5*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))+3/20*I/a^5*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)^2+1/a^5*arccoth(a*x)-1/a^5*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-1/a^5*ln(1/((a*x-1)/(a*x+1))^(1/2)-1)+6/5/a^5*polylog(3,-1/((a*x-1)/(a*x+1))^(1/2))+6/5/a^5*polylog(3,1/((a*x-1)/(a*x+1))^(1/2))+3/20*I/a^5*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)^2+3/20*I/a^5*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)^2-3/20*I/a^5*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2-3/20*I/a^5*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2+3/20*I/a^5*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)^2-3/10*I/a^5*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)^2-3/5/a^5*arccoth(a*x)^2*ln(2)+3/10/a^5*arccoth(a*x)^2*ln(a*x-1)","C"
25,1,684,125,1.586000," ","int(x^3*arccoth(a*x)^3,x)","-\frac{\mathrm{arccoth}\left(a x \right)}{4 a^{4}}+\frac{\mathrm{arccoth}\left(a x \right)^{2}}{a^{4}}+\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{8 a^{4}}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{8 a^{4}}-\frac{2 \,\mathrm{arccoth}\left(a x \right) \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{4}}-\frac{\sqrt{\frac{a x -1}{a x +1}}}{4 a^{4} \left(\sqrt{\frac{a x -1}{a x +1}}+1\right)}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{8 a^{4}}-\frac{\sqrt{\frac{a x -1}{a x +1}}}{4 a^{4} \left(-1+\sqrt{\frac{a x -1}{a x +1}}\right)}+\frac{2 \dilog \left(\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{4}}-\frac{\mathrm{arccoth}\left(a x \right)^{3}}{4 a^{4}}+\frac{x^{4} \mathrm{arccoth}\left(a x \right)^{3}}{4}+\frac{3 x \mathrm{arccoth}\left(a x \right)^{2}}{4 a^{3}}+\frac{x^{3} \mathrm{arccoth}\left(a x \right)^{2}}{4 a}+\frac{x^{2} \mathrm{arccoth}\left(a x \right)}{4 a^{2}}+\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{16 a^{4}}-\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{16 a^{4}}+\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{8 a^{4}}-\frac{2 \dilog \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{4}}+\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{16 a^{4}}-\frac{3 i \pi  \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{arccoth}\left(a x \right)^{2}}{16 a^{4}}-\frac{3 i \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{16 a^{4}}-\frac{3 i \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right) \mathrm{arccoth}\left(a x \right)^{2}}{16 a^{4}}"," ",0,"-1/4/a^4*arccoth(a*x)+arccoth(a*x)^2/a^4+3/8/a^4*arccoth(a*x)^2*ln(a*x-1)-3/8/a^4*arccoth(a*x)^2*ln(a*x+1)-2/a^4*arccoth(a*x)*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-1/4/a^4/(((a*x-1)/(a*x+1))^(1/2)+1)*((a*x-1)/(a*x+1))^(1/2)-3/8/a^4*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))-1/4/a^4/(-1+((a*x-1)/(a*x+1))^(1/2))*((a*x-1)/(a*x+1))^(1/2)+2/a^4*dilog(1/((a*x-1)/(a*x+1))^(1/2))-1/4*arccoth(a*x)^3/a^4+1/4*x^4*arccoth(a*x)^3+3/4*x*arccoth(a*x)^2/a^3+1/4*x^3*arccoth(a*x)^2/a+1/4*x^2*arccoth(a*x)/a^2+3/16*I/a^4*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2-3/16*I/a^4*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)^2+3/8*I/a^4*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)^2-2/a^4*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))+3/16*I/a^4*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2-3/16*I/a^4*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)^2-3/16*I/a^4*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)^2-3/16*I/a^4*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)^2","C"
26,1,765,137,1.490000," ","int(x^2*arccoth(a*x)^3,x)","\frac{\mathrm{arccoth}\left(a x \right)}{a^{3}}-\frac{\ln \left(\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}-1\right)}{a^{3}}-\frac{\ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}-\frac{\mathrm{arccoth}\left(a x \right)^{2}}{2 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right)^{3}}{3 a^{3}}+\frac{x^{2} \mathrm{arccoth}\left(a x \right)^{2}}{2 a}+\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{2 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{2 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{2 a^{3}}+\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x +1}{a x -1}-1\right)}{a^{3}}-\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}-\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}-\frac{\mathrm{arccoth}\left(a x \right)^{2} \ln \left(2\right)}{a^{3}}+\frac{x \,\mathrm{arccoth}\left(a x \right)}{a^{2}}+\frac{x^{3} \mathrm{arccoth}\left(a x \right)^{3}}{3}+\frac{2 \polylog \left(3, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}+\frac{2 \polylog \left(3, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}-\frac{2 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}-\frac{2 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a^{3}}+\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3}}{4 a^{3}}+\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3}}{4 a^{3}}-\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)}{4 a^{3}}-\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right)}{4 a^{3}}-\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2} \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{2 a^{3}}+\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2}}{4 a^{3}}+\frac{i \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right)}{4 a^{3}}"," ",0,"1/a^3*arccoth(a*x)-1/a^3*ln(1/((a*x-1)/(a*x+1))^(1/2)-1)-1/a^3*ln(1+1/((a*x-1)/(a*x+1))^(1/2))+2/a^3*polylog(3,1/((a*x-1)/(a*x+1))^(1/2))+2/a^3*polylog(3,-1/((a*x-1)/(a*x+1))^(1/2))-1/2*arccoth(a*x)^2/a^3+1/3*arccoth(a*x)^3/a^3+1/2*x^2*arccoth(a*x)^2/a+1/2/a^3*arccoth(a*x)^2*ln(a*x-1)+1/2/a^3*arccoth(a*x)^2*ln(a*x+1)+1/2/a^3*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))+1/a^3*arccoth(a*x)^2*ln((a*x+1)/(a*x-1)-1)-1/a^3*arccoth(a*x)^2*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-2/a^3*arccoth(a*x)*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-1/a^3*arccoth(a*x)^2*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-2/a^3*arccoth(a*x)*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))-1/a^3*arccoth(a*x)^2*ln(2)+x*arccoth(a*x)/a^2+1/3*x^3*arccoth(a*x)^3+1/4*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3+1/4*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))+1/4*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3-1/4*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*csgn(I*(a*x+1)/(a*x-1))-1/4*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*csgn(I/((a*x+1)/(a*x-1)-1))-1/2*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))^2*csgn(I/((a*x-1)/(a*x+1))^(1/2))+1/4*I/a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2","C"
27,1,3070,85,0.757000," ","int(x*arccoth(a*x)^3,x)","\text{output too large to display}"," ",0,"3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))-3/4*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*dilog(1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)^2+3/4*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)^2-1/2*arccoth(a*x)^3/a^2+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*dilog(1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-3/2/a^2*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))+3/4/a^2*arccoth(a*x)^2*ln(a*x-1)-3/4/a^2*arccoth(a*x)^2*ln(a*x+1)-3/a^2*arccoth(a*x)*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-3/4/a^2*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))+3/2*arccoth(a*x)^2/a^2+3/2*x*arccoth(a*x)^2/a+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)^2+1/2*x^2*arccoth(a*x)^3-3/2/a^2*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-3/2/a^2*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))+3/2/a^2*dilog(1/((a*x-1)/(a*x+1))^(1/2))-3/2/a^2*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1/((a*x-1)/(a*x+1))^(1/2))+3/4*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))-3/4*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))-3/4*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*dilog(1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)^2+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*dilog(1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*dilog(1+1/((a*x-1)/(a*x+1))^(1/2))-3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)^2+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*dilog(1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))+3/8*I/a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-3/4*I/a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)*ln(1-1/((a*x-1)/(a*x+1))^(1/2))","C"
28,1,180,83,0.381000," ","int(arccoth(a*x)^3,x)","x \mathrm{arccoth}\left(a x \right)^{3}+\frac{\mathrm{arccoth}\left(a x \right)^{3}}{a}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}-\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}-\frac{6 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}-\frac{6 \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}+\frac{6 \polylog \left(3, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}+\frac{6 \polylog \left(3, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{a}"," ",0,"x*arccoth(a*x)^3+arccoth(a*x)^3/a-3/a*arccoth(a*x)^2*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-3/a*arccoth(a*x)^2*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-6/a*arccoth(a*x)*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))-6/a*arccoth(a*x)*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+6/a*polylog(3,1/((a*x-1)/(a*x+1))^(1/2))+6/a*polylog(3,-1/((a*x-1)/(a*x+1))^(1/2))","B"
29,1,564,138,0.549000," ","int(arccoth(a*x)^3/x,x)","\ln \left(a x \right) \mathrm{arccoth}\left(a x \right)^{3}+\mathrm{arccoth}\left(a x \right)^{3} \ln \left(\frac{a x +1}{a x -1}-1\right)+\frac{3 \mathrm{arccoth}\left(a x \right)^{2} \polylog \left(2, -\frac{a x +1}{a x -1}\right)}{2}-\frac{3 \,\mathrm{arccoth}\left(a x \right) \polylog \left(3, -\frac{a x +1}{a x -1}\right)}{2}+\frac{3 \polylog \left(4, -\frac{a x +1}{a x -1}\right)}{4}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right) \mathrm{arccoth}\left(a x \right)^{3}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{3}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right) \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{3}}{2}+\frac{i \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{3} \mathrm{arccoth}\left(a x \right)^{3}}{2}-\mathrm{arccoth}\left(a x \right)^{3} \ln \left(1-\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-3 \mathrm{arccoth}\left(a x \right)^{2} \polylog \left(2, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)+6 \,\mathrm{arccoth}\left(a x \right) \polylog \left(3, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-6 \polylog \left(4, \frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-\mathrm{arccoth}\left(a x \right)^{3} \ln \left(1+\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-3 \mathrm{arccoth}\left(a x \right)^{2} \polylog \left(2, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)+6 \,\mathrm{arccoth}\left(a x \right) \polylog \left(3, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)-6 \polylog \left(4, -\frac{1}{\sqrt{\frac{a x -1}{a x +1}}}\right)"," ",0,"ln(a*x)*arccoth(a*x)^3+arccoth(a*x)^3*ln((a*x+1)/(a*x-1)-1)+3/2*arccoth(a*x)^2*polylog(2,-(a*x+1)/(a*x-1))-3/2*arccoth(a*x)*polylog(3,-(a*x+1)/(a*x-1))+3/4*polylog(4,-(a*x+1)/(a*x-1))+1/2*I*Pi*csgn(I*(1+(a*x+1)/(a*x-1)))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))*arccoth(a*x)^3-1/2*I*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*arccoth(a*x)^3-1/2*I*Pi*csgn(I*(1+(a*x+1)/(a*x-1)))*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*arccoth(a*x)^3+1/2*I*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^3*arccoth(a*x)^3-arccoth(a*x)^3*ln(1-1/((a*x-1)/(a*x+1))^(1/2))-3*arccoth(a*x)^2*polylog(2,1/((a*x-1)/(a*x+1))^(1/2))+6*arccoth(a*x)*polylog(3,1/((a*x-1)/(a*x+1))^(1/2))-6*polylog(4,1/((a*x-1)/(a*x+1))^(1/2))-arccoth(a*x)^3*ln(1+1/((a*x-1)/(a*x+1))^(1/2))-3*arccoth(a*x)^2*polylog(2,-1/((a*x-1)/(a*x+1))^(1/2))+6*arccoth(a*x)*polylog(3,-1/((a*x-1)/(a*x+1))^(1/2))-6*polylog(4,-1/((a*x-1)/(a*x+1))^(1/2))","C"
30,1,796,77,0.700000," ","int(arccoth(a*x)^3/x^2,x)","-\frac{\mathrm{arccoth}\left(a x \right)^{3}}{x}+3 a \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x \right)-\frac{3 a \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{2}-\frac{3 a \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{2}-\frac{3 a \mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{2}-a \mathrm{arccoth}\left(a x \right)^{3}+3 a \,\mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{a x +1}{a x -1}\right)-\frac{3 a \polylog \left(3, -\frac{a x +1}{a x -1}\right)}{2}-\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)}{4}-\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right)}{2}-\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right)}{2}+\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2}}{4}-\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3}}{4}+\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{3}}{2}+\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2}}{4}-\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3}}{4}+\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2} \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)}{2}-\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2}}{4}+\frac{3 i a \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right)}{2}+3 a \mathrm{arccoth}\left(a x \right)^{2} \ln \left(2\right)"," ",0,"-arccoth(a*x)^3/x+3*a*arccoth(a*x)^2*ln(a*x)-3/2*a*arccoth(a*x)^2*ln(a*x-1)-3/2*a*arccoth(a*x)^2*ln(a*x+1)-3/2*a*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))-a*arccoth(a*x)^3+3*a*arccoth(a*x)*polylog(2,-(a*x+1)/(a*x-1))-3/2*a*polylog(3,-(a*x+1)/(a*x-1))-3/4*I*a*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))-3/2*I*a*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*csgn(I*(1+(a*x+1)/(a*x-1)))-3/2*I*a*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*csgn(I/((a*x+1)/(a*x-1)-1))+3/4*I*a*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2-3/4*I*a*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3+3/2*I*a*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^3+3/4*I*a*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2-3/4*I*a*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3+3/2*I*a*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))^2*csgn(I/((a*x-1)/(a*x+1))^(1/2))-3/4*I*a*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2+3/2*I*a*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(1+(a*x+1)/(a*x-1)))+3*a*arccoth(a*x)^2*ln(2)","C"
31,1,3673,85,0.862000," ","int(arccoth(a*x)^3/x^3,x)","\text{output too large to display}"," ",0,"1/2*a^2*arccoth(a*x)^3-3/2*a^2*arccoth(a*x)^2-3/2*a*arccoth(a*x)^2/x+3/2*a^2*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))+3/2*a^2*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))+3/2*a^2*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))-3/4*a^2*arccoth(a*x)^2*ln(a*x-1)+3/4*a^2*arccoth(a*x)^2*ln(a*x+1)+3/4*a^2*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))+3/8*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))+3/4*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))-3/4*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))-3/16*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*polylog(2,-(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)^2+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)^2-3/16*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*polylog(2,-(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+3/2*a^2*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))+3/2*a^2*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+3/4*a^2*polylog(2,-(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))-1/2*arccoth(a*x)^3/x^2-3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))-3/4*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))-3/16*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*polylog(2,-(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)^2-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)^2-3/8*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2+3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))-3/4*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))-3/4*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))-3/16*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*polylog(2,-(a*x+1)/(a*x-1))-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*polylog(2,-(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))+3/16*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*polylog(2,-(a*x+1)/(a*x-1))+3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))-3/8*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)*ln(1+(a*x+1)/(a*x-1))-3/8*I*a^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+3/16*I*a^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*polylog(2,-(a*x+1)/(a*x-1))-3/4*I*a^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)^2","C"
32,1,895,142,2.412000," ","int(arccoth(a*x)^3/x^4,x)","-\frac{a^{3} \mathrm{arccoth}\left(a x \right)^{3}}{3}+\frac{a^{3} \mathrm{arccoth}\left(a x \right)^{2}}{2}-\frac{a \mathrm{arccoth}\left(a x \right)^{2}}{2 x^{2}}-\frac{a^{3} \polylog \left(3, -\frac{a x +1}{a x -1}\right)}{2}-a^{3} \mathrm{arccoth}\left(a x \right)+a^{3} \ln \left(1+\frac{a x +1}{a x -1}\right)-\frac{a^{2} \mathrm{arccoth}\left(a x \right)}{x}-\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)}{4}+\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2}}{4}-\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right)}{2}-\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{2} \mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right)}{2}-\frac{\mathrm{arccoth}\left(a x \right)^{3}}{3 x^{3}}-\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)}{4}+\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(i \left(1+\frac{a x +1}{a x -1}\right)\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right)}{2}+a^{3} \mathrm{arccoth}\left(a x \right) \polylog \left(2, -\frac{a x +1}{a x -1}\right)+\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2}}{2}+\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2}}{4}-\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3}}{4}-\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3}}{4}+\frac{i a^{3} \mathrm{arccoth}\left(a x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+\frac{a x +1}{a x -1}\right)}{\frac{a x +1}{a x -1}-1}\right)^{3}}{2}+a^{3} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x \right)-\frac{a^{3} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{2}-\frac{a^{3} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{2}-\frac{a^{3} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{2}+a^{3} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(2\right)"," ",0,"-1/3*a^3*arccoth(a*x)^3+1/2*a^3*arccoth(a*x)^2-1/2*a*arccoth(a*x)^2/x^2-a^3*arccoth(a*x)-1/2*a^3*polylog(3,-(a*x+1)/(a*x-1))+a^3*ln(1+(a*x+1)/(a*x-1))-a^2*arccoth(a*x)/x-1/3*arccoth(a*x)^3/x^3-1/4*I*a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))^3-1/4*I*a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))+1/2*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))*csgn(I*(1+(a*x+1)/(a*x-1)))*csgn(I/((a*x+1)/(a*x-1)-1))-1/4*I*a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3+1/2*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^3+1/2*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2+1/4*I*a^3*arccoth(a*x)^2*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2-1/4*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))+1/4*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2-1/2*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*csgn(I/((a*x+1)/(a*x-1)-1))-1/2*I*a^3*arccoth(a*x)^2*Pi*csgn(I/((a*x+1)/(a*x-1)-1)*(1+(a*x+1)/(a*x-1)))^2*csgn(I*(1+(a*x+1)/(a*x-1)))+a^3*arccoth(a*x)^2*ln(a*x)-1/2*a^3*arccoth(a*x)^2*ln(a*x-1)+a^3*arccoth(a*x)*polylog(2,-(a*x+1)/(a*x-1))-1/2*a^3*arccoth(a*x)^2*ln(a*x+1)-1/2*a^3*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))+a^3*arccoth(a*x)^2*ln(2)","C"
33,1,661,127,1.495000," ","int(arccoth(a*x)^3/x^5,x)","\frac{a^{4} \mathrm{arccoth}\left(a x \right)}{4}+\frac{a^{4}}{4}-a^{4} \mathrm{arccoth}\left(a x \right)^{2}+\frac{a^{4} \mathrm{arccoth}\left(a x \right)^{3}}{4}-\frac{3 a^{4} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x -1\right)}{8}+\frac{3 a^{4} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(a x +1\right)}{8}+2 a^{4} \mathrm{arccoth}\left(a x \right) \ln \left(1+\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)+2 a^{4} \mathrm{arccoth}\left(a x \right) \ln \left(1-\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)+\frac{3 a^{4} \mathrm{arccoth}\left(a x \right)^{2} \ln \left(\frac{a x -1}{a x +1}\right)}{8}-\frac{\mathrm{arccoth}\left(a x \right)^{3}}{4 x^{4}}-\frac{a \mathrm{arccoth}\left(a x \right)^{2}}{4 x^{3}}-\frac{3 a^{3} \mathrm{arccoth}\left(a x \right)^{2}}{4 x}-\frac{a^{3}}{4 x}-\frac{3 i a^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{16}-\frac{a^{2} \mathrm{arccoth}\left(a x \right)}{4 x^{2}}+2 a^{4} \dilog \left(1+\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)+2 a^{4} \dilog \left(1-\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)+\frac{3 i a^{4} \pi  \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{arccoth}\left(a x \right)^{2}}{16}-\frac{3 i a^{4} \pi  \,\mathrm{csgn}\left(\frac{i}{\sqrt{\frac{a x -1}{a x +1}}}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{8}+\frac{3 i a^{4} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{16}+\frac{3 i a^{4} \pi  \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{3} \mathrm{arccoth}\left(a x \right)^{2}}{16}+\frac{3 i a^{4} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i}{\frac{a x +1}{a x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right) \mathrm{arccoth}\left(a x \right)^{2}}{16}-\frac{3 i a^{4} \pi  \,\mathrm{csgn}\left(\frac{i \left(a x +1\right)}{a x -1}\right) \mathrm{csgn}\left(\frac{i \left(a x +1\right)}{\left(a x -1\right) \left(\frac{a x +1}{a x -1}-1\right)}\right)^{2} \mathrm{arccoth}\left(a x \right)^{2}}{16}"," ",0,"1/4*a^4*arccoth(a*x)+1/4*a^4-a^4*arccoth(a*x)^2+1/4*a^4*arccoth(a*x)^3-3/8*a^4*arccoth(a*x)^2*ln(a*x-1)+3/8*a^4*arccoth(a*x)^2*ln(a*x+1)+2*a^4*arccoth(a*x)*ln(1+I/((a*x-1)/(a*x+1))^(1/2))+2*a^4*arccoth(a*x)*ln(1-I/((a*x-1)/(a*x+1))^(1/2))+3/8*a^4*arccoth(a*x)^2*ln((a*x-1)/(a*x+1))-1/4*arccoth(a*x)^3/x^4-1/4*a*arccoth(a*x)^2/x^3-3/4*a^3*arccoth(a*x)^2/x-1/4*a^3/x-3/16*I*a^4*Pi*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2-1/4*a^2*arccoth(a*x)/x^2+2*a^4*dilog(1+I/((a*x-1)/(a*x+1))^(1/2))+2*a^4*dilog(1-I/((a*x-1)/(a*x+1))^(1/2))+3/16*I*a^4*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))^2*csgn(I*(a*x+1)/(a*x-1))*arccoth(a*x)^2-3/8*I*a^4*Pi*csgn(I/((a*x-1)/(a*x+1))^(1/2))*csgn(I*(a*x+1)/(a*x-1))^2*arccoth(a*x)^2+3/16*I*a^4*Pi*csgn(I*(a*x+1)/(a*x-1))^3*arccoth(a*x)^2+3/16*I*a^4*Pi*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^3*arccoth(a*x)^2+3/16*I*a^4*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I/((a*x+1)/(a*x-1)-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))*arccoth(a*x)^2-3/16*I*a^4*Pi*csgn(I*(a*x+1)/(a*x-1))*csgn(I*(a*x+1)/(a*x-1)/((a*x+1)/(a*x-1)-1))^2*arccoth(a*x)^2","C"
34,1,926,160,1.286000," ","int(arccoth(c*x)^2/(e*x+d),x)","\frac{\ln \left(c x e +c d \right) \mathrm{arccoth}\left(c x \right)^{2}}{e}-\frac{\mathrm{arccoth}\left(c x \right)^{2} \ln \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)}{e}-\frac{i \pi  \mathrm{arccoth}\left(c x \right)^{2} \mathrm{csgn}\left(i \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)}{\frac{c x +1}{c x -1}-1}\right)^{2}}{2 e}-\frac{i \pi  \mathrm{arccoth}\left(c x \right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{c x +1}{c x -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)}{\frac{c x +1}{c x -1}-1}\right)^{2}}{2 e}+\frac{i \pi  \mathrm{arccoth}\left(c x \right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{c x +1}{c x -1}-1}\right) \mathrm{csgn}\left(i \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)}{\frac{c x +1}{c x -1}-1}\right)}{2 e}+\frac{i \pi  \mathrm{arccoth}\left(c x \right)^{2} \mathrm{csgn}\left(\frac{i \left(\left(\frac{c x +1}{c x -1}-1\right) d c +e \left(1+\frac{c x +1}{c x -1}\right)\right)}{\frac{c x +1}{c x -1}-1}\right)^{3}}{2 e}+\frac{\mathrm{arccoth}\left(c x \right)^{2} \ln \left(\frac{c x +1}{c x -1}-1\right)}{e}-\frac{\mathrm{arccoth}\left(c x \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{c x -1}{c x +1}}}\right)}{e}-\frac{2 \,\mathrm{arccoth}\left(c x \right) \polylog \left(2, \frac{1}{\sqrt{\frac{c x -1}{c x +1}}}\right)}{e}+\frac{2 \polylog \left(3, \frac{1}{\sqrt{\frac{c x -1}{c x +1}}}\right)}{e}-\frac{\mathrm{arccoth}\left(c x \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{c x -1}{c x +1}}}\right)}{e}-\frac{2 \,\mathrm{arccoth}\left(c x \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{c x -1}{c x +1}}}\right)}{e}+\frac{2 \polylog \left(3, -\frac{1}{\sqrt{\frac{c x -1}{c x +1}}}\right)}{e}+\frac{\mathrm{arccoth}\left(c x \right)^{2} \ln \left(1-\frac{\left(c d +e \right) \left(c x +1\right)}{\left(c d -e \right) \left(c x -1\right)}\right)}{c d +e}+\frac{\mathrm{arccoth}\left(c x \right) \polylog \left(2, \frac{\left(c d +e \right) \left(c x +1\right)}{\left(c d -e \right) \left(c x -1\right)}\right)}{c d +e}-\frac{\polylog \left(3, \frac{\left(c d +e \right) \left(c x +1\right)}{\left(c d -e \right) \left(c x -1\right)}\right)}{2 \left(c d +e \right)}+\frac{c d \mathrm{arccoth}\left(c x \right)^{2} \ln \left(1-\frac{\left(c d +e \right) \left(c x +1\right)}{\left(c d -e \right) \left(c x -1\right)}\right)}{e \left(c d +e \right)}+\frac{c d \,\mathrm{arccoth}\left(c x \right) \polylog \left(2, \frac{\left(c d +e \right) \left(c x +1\right)}{\left(c d -e \right) \left(c x -1\right)}\right)}{e \left(c d +e \right)}-\frac{c d \polylog \left(3, \frac{\left(c d +e \right) \left(c x +1\right)}{\left(c d -e \right) \left(c x -1\right)}\right)}{2 e \left(c d +e \right)}"," ",0,"ln(c*e*x+c*d)/e*arccoth(c*x)^2-1/e*arccoth(c*x)^2*ln(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1)))-1/2*I/e*Pi*arccoth(c*x)^2*csgn(I*(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1))))*csgn(I*(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1)))/((c*x+1)/(c*x-1)-1))^2-1/2*I/e*Pi*arccoth(c*x)^2*csgn(I/((c*x+1)/(c*x-1)-1))*csgn(I*(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1)))/((c*x+1)/(c*x-1)-1))^2+1/2*I/e*Pi*arccoth(c*x)^2*csgn(I/((c*x+1)/(c*x-1)-1))*csgn(I*(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1))))*csgn(I*(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1)))/((c*x+1)/(c*x-1)-1))+1/2*I/e*Pi*arccoth(c*x)^2*csgn(I*(((c*x+1)/(c*x-1)-1)*d*c+e*(1+(c*x+1)/(c*x-1)))/((c*x+1)/(c*x-1)-1))^3+1/e*arccoth(c*x)^2*ln((c*x+1)/(c*x-1)-1)-1/e*arccoth(c*x)^2*ln(1-1/((c*x-1)/(c*x+1))^(1/2))-2/e*arccoth(c*x)*polylog(2,1/((c*x-1)/(c*x+1))^(1/2))+2/e*polylog(3,1/((c*x-1)/(c*x+1))^(1/2))-1/e*arccoth(c*x)^2*ln(1+1/((c*x-1)/(c*x+1))^(1/2))-2/e*arccoth(c*x)*polylog(2,-1/((c*x-1)/(c*x+1))^(1/2))+2/e*polylog(3,-1/((c*x-1)/(c*x+1))^(1/2))+1/(c*d+e)*arccoth(c*x)^2*ln(1-(c*d+e)/(c*d-e)*(c*x+1)/(c*x-1))+1/(c*d+e)*arccoth(c*x)*polylog(2,(c*d+e)/(c*d-e)*(c*x+1)/(c*x-1))-1/2/(c*d+e)*polylog(3,(c*d+e)/(c*d-e)*(c*x+1)/(c*x-1))+c/e*d/(c*d+e)*arccoth(c*x)^2*ln(1-(c*d+e)/(c*d-e)*(c*x+1)/(c*x-1))+c/e*d/(c*d+e)*arccoth(c*x)*polylog(2,(c*d+e)/(c*d-e)*(c*x+1)/(c*x-1))-1/2*c/e*d/(c*d+e)*polylog(3,(c*d+e)/(c*d-e)*(c*x+1)/(c*x-1))","C"
35,1,334,227,0.041000," ","int((d*x^2+c)^4*arccoth(a*x),x)","\frac{3 c^{2} d^{2} x^{2}}{5 a^{3}}+\frac{2 c \,d^{3} x^{6}}{21 a}+\frac{3 c^{2} d^{2} x^{4}}{10 a}+\frac{2 c^{3} d \,x^{2}}{3 a}+\frac{2 \ln \left(a x -1\right) c^{3} d}{3 a^{3}}+\frac{x^{4} c \,d^{3}}{7 a^{3}}+\frac{2 x^{2} c \,d^{3}}{7 a^{5}}+\frac{3 \ln \left(a x -1\right) c^{2} d^{2}}{5 a^{5}}+\frac{2 \ln \left(a x -1\right) c \,d^{3}}{7 a^{7}}+\frac{2 \ln \left(a x +1\right) c^{3} d}{3 a^{3}}+\frac{3 \ln \left(a x +1\right) c^{2} d^{2}}{5 a^{5}}+\frac{2 \ln \left(a x +1\right) c \,d^{3}}{7 a^{7}}+\frac{\ln \left(a x -1\right) d^{4}}{18 a^{9}}+\frac{\ln \left(a x +1\right) d^{4}}{18 a^{9}}+\frac{\ln \left(a x -1\right) c^{4}}{2 a}+\frac{x^{6} d^{4}}{54 a^{3}}+\frac{x^{2} d^{4}}{18 a^{7}}+\frac{x^{4} d^{4}}{36 a^{5}}+\frac{d^{4} x^{9} \mathrm{arccoth}\left(a x \right)}{9}+\frac{c^{4} \ln \left(a x +1\right)}{2 a}+c^{4} x \,\mathrm{arccoth}\left(a x \right)+\frac{d^{4} x^{8}}{72 a}+\frac{4 c^{3} d \,x^{3} \mathrm{arccoth}\left(a x \right)}{3}+\frac{6 c^{2} d^{2} x^{5} \mathrm{arccoth}\left(a x \right)}{5}+\frac{4 c \,d^{3} x^{7} \mathrm{arccoth}\left(a x \right)}{7}"," ",0,"3/5/a^3*c^2*d^2*x^2+2/21/a*c*d^3*x^6+3/10/a*c^2*d^2*x^4+2/3/a*c^3*d*x^2+2/3/a^3*ln(a*x-1)*c^3*d+1/7/a^3*x^4*c*d^3+2/7/a^5*x^2*c*d^3+3/5/a^5*ln(a*x-1)*c^2*d^2+2/7/a^7*ln(a*x-1)*c*d^3+2/3/a^3*ln(a*x+1)*c^3*d+3/5/a^5*ln(a*x+1)*c^2*d^2+2/7/a^7*ln(a*x+1)*c*d^3+1/18/a^9*ln(a*x-1)*d^4+1/18/a^9*ln(a*x+1)*d^4+1/2/a*ln(a*x-1)*c^4+1/54/a^3*x^6*d^4+1/18/a^7*x^2*d^4+1/36/a^5*x^4*d^4+1/9*d^4*x^9*arccoth(a*x)+1/2*c^4*ln(a*x+1)/a+c^4*x*arccoth(a*x)+1/72*d^4*x^8/a+4/3*c^3*d*x^3*arccoth(a*x)+6/5*c^2*d^2*x^5*arccoth(a*x)+4/7*c*d^3*x^7*arccoth(a*x)","A"
36,1,233,157,0.034000," ","int((d*x^2+c)^3*arccoth(a*x),x)","\frac{d^{3} x^{7} \mathrm{arccoth}\left(a x \right)}{7}+\frac{3 c \,d^{2} x^{5} \mathrm{arccoth}\left(a x \right)}{5}+c^{2} d \,x^{3} \mathrm{arccoth}\left(a x \right)+c^{3} x \,\mathrm{arccoth}\left(a x \right)+\frac{3 c \,d^{2} x^{2}}{10 a^{3}}+\frac{x^{2} c^{2} d}{2 a}+\frac{3 c \,d^{2} x^{4}}{20 a}+\frac{d^{3} x^{6}}{42 a}+\frac{x^{4} d^{3}}{28 a^{3}}+\frac{\ln \left(a x -1\right) c^{3}}{2 a}+\frac{\ln \left(a x -1\right) c^{2} d}{2 a^{3}}+\frac{3 \ln \left(a x -1\right) c \,d^{2}}{10 a^{5}}+\frac{\ln \left(a x -1\right) d^{3}}{14 a^{7}}+\frac{d^{3} x^{2}}{14 a^{5}}+\frac{c^{3} \ln \left(a x +1\right)}{2 a}+\frac{\ln \left(a x +1\right) c^{2} d}{2 a^{3}}+\frac{3 \ln \left(a x +1\right) c \,d^{2}}{10 a^{5}}+\frac{\ln \left(a x +1\right) d^{3}}{14 a^{7}}"," ",0,"1/7*d^3*x^7*arccoth(a*x)+3/5*c*d^2*x^5*arccoth(a*x)+c^2*d*x^3*arccoth(a*x)+c^3*x*arccoth(a*x)+3/10/a^3*c*d^2*x^2+1/2/a*x^2*c^2*d+3/20/a*c*d^2*x^4+1/42*d^3*x^6/a+1/28/a^3*x^4*d^3+1/2/a*ln(a*x-1)*c^3+1/2/a^3*ln(a*x-1)*c^2*d+3/10/a^5*ln(a*x-1)*c*d^2+1/14/a^7*ln(a*x-1)*d^3+1/14/a^5*d^3*x^2+1/2*c^3*ln(a*x+1)/a+1/2/a^3*ln(a*x+1)*c^2*d+3/10/a^5*ln(a*x+1)*c*d^2+1/14/a^7*ln(a*x+1)*d^3","A"
37,1,148,100,0.036000," ","int((d*x^2+c)^2*arccoth(a*x),x)","\frac{d^{2} x^{5} \mathrm{arccoth}\left(a x \right)}{5}+\frac{2 c d \,x^{3} \mathrm{arccoth}\left(a x \right)}{3}+c^{2} x \,\mathrm{arccoth}\left(a x \right)+\frac{d^{2} x^{4}}{20 a}+\frac{c d \,x^{2}}{3 a}+\frac{x^{2} d^{2}}{10 a^{3}}+\frac{\ln \left(a x -1\right) c^{2}}{2 a}+\frac{\ln \left(a x -1\right) c d}{3 a^{3}}+\frac{\ln \left(a x -1\right) d^{2}}{10 a^{5}}+\frac{c^{2} \ln \left(a x +1\right)}{2 a}+\frac{\ln \left(a x +1\right) c d}{3 a^{3}}+\frac{\ln \left(a x +1\right) d^{2}}{10 a^{5}}"," ",0,"1/5*d^2*x^5*arccoth(a*x)+2/3*c*d*x^3*arccoth(a*x)+c^2*x*arccoth(a*x)+1/20*d^2*x^4/a+1/3/a*c*d*x^2+1/10/a^3*x^2*d^2+1/2/a*ln(a*x-1)*c^2+1/3/a^3*ln(a*x-1)*c*d+1/10/a^5*ln(a*x-1)*d^2+1/2*c^2*ln(a*x+1)/a+1/3/a^3*ln(a*x+1)*c*d+1/10/a^5*ln(a*x+1)*d^2","A"
38,1,76,51,0.037000," ","int((d*x^2+c)*arccoth(a*x),x)","\frac{d \,x^{3} \mathrm{arccoth}\left(a x \right)}{3}+c x \,\mathrm{arccoth}\left(a x \right)+\frac{d \,x^{2}}{6 a}+\frac{\ln \left(a x -1\right) c}{2 a}+\frac{\ln \left(a x -1\right) d}{6 a^{3}}+\frac{c \ln \left(a x +1\right)}{2 a}+\frac{\ln \left(a x +1\right) d}{6 a^{3}}"," ",0,"1/3*d*x^3*arccoth(a*x)+c*x*arccoth(a*x)+1/6*d*x^2/a+1/2/a*ln(a*x-1)*c+1/6/a^3*ln(a*x-1)*d+1/2*c*ln(a*x+1)/a+1/6/a^3*ln(a*x+1)*d","A"
39,1,785,280,0.678000," ","int(arccoth(a*x)/(d*x^2+c),x)","-\frac{a^{3} \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}\, c}{2 d \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{a \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}}{a^{4} c^{2}+2 a^{2} c d +d^{2}}+\frac{a^{3} \mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}\, c}{2 d \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}+\frac{a \mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}}{a^{4} c^{2}+2 a^{2} c d +d^{2}}-\frac{a^{3} \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}\, c}{4 d \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{a \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}}{2 \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{\ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}\, d}{2 a c \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}+\frac{\mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}\, d}{2 a c \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{\polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}\, d}{4 a c \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}+\frac{\sqrt{-a^{2} c d}\, \mathrm{arccoth}\left(a x \right) \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c +2 \sqrt{-a^{2} c d}-d \right)}\right)}{2 a c d}-\frac{\sqrt{-a^{2} c d}\, \mathrm{arccoth}\left(a x \right)^{2}}{2 a c d}+\frac{\sqrt{-a^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c +2 \sqrt{-a^{2} c d}-d \right)}\right)}{4 a c d}"," ",0,"-1/2*a^3/d/(a^4*c^2+2*a^2*c*d+d^2)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)*c-a/(a^4*c^2+2*a^2*c*d+d^2)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)+1/2*a^3/d/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2*(-a^2*c*d)^(1/2)*c+a/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2*(-a^2*c*d)^(1/2)-1/4*a^3/d/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)*c-1/2*a/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)-1/2/a/c/(a^4*c^2+2*a^2*c*d+d^2)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)*d+1/2/a/c/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2*(-a^2*c*d)^(1/2)*d-1/4/a/c/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)*d+1/2/a*(-a^2*c*d)^(1/2)/c/d*arccoth(a*x)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-1/2/a*(-a^2*c*d)^(1/2)/c/d*arccoth(a*x)^2+1/4/a*(-a^2*c*d)^(1/2)/c/d*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))","B"
40,1,2218,430,0.639000," ","int(arccoth(a*x)/(d*x^2+c)^2,x)","\frac{3 a^{3} \mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}}{4 \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right) \left(a^{2} c +d \right)}-\frac{a^{3} \mathrm{arccoth}\left(a x \right) d \,x^{2}}{2 c \left(a^{2} c +d \right) \left(a^{2} d \,x^{2}+a^{2} c \right)}+\frac{a^{2} \mathrm{arccoth}\left(a x \right) x d}{2 c \left(a^{2} c +d \right) \left(a^{2} d \,x^{2}+a^{2} c \right)}+\frac{d^{2} \mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}}{4 a \left(a^{2} c +d \right) c^{2} \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}+\frac{a \sqrt{-a^{2} c d}\, \mathrm{arccoth}\left(a x \right) \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c +2 \sqrt{-a^{2} c d}-d \right)}\right)}{4 c d \left(a^{2} c +d \right)}+\frac{a^{5} \mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}\, c}{4 d \left(a^{2} c +d \right) \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}+\frac{3 a d \mathrm{arccoth}\left(a x \right)^{2} \sqrt{-a^{2} c d}}{4 \left(a^{2} c +d \right) c \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{a^{5} \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}\, c}{4 d \left(a^{2} c +d \right) \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{d^{2} \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}}{4 a \left(a^{2} c +d \right) c^{2} \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{3 a d \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}}{4 \left(a^{2} c +d \right) c \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{a^{4} \sqrt{c d}\, \arctan \left(\frac{a \sqrt{c d}}{d}\right)}{4 d \left(a^{2} c +d \right)^{2}}+\frac{\sqrt{c d}\, d \arctan \left(\frac{a \sqrt{c d}}{d}\right)}{4 c^{2} \left(a^{2} c +d \right)^{2}}-\frac{a d \ln \left(\frac{a^{2} c \left(a x +1\right)^{2}}{\left(a x -1\right)^{2}}-\frac{2 a^{2} c \left(a x +1\right)}{a x -1}+\frac{d \left(a x +1\right)^{2}}{\left(a x -1\right)^{2}}+a^{2} c +\frac{2 \left(a x +1\right) d}{a x -1}+d \right)}{4 \left(a^{2} c +d \right)^{2} c}+\frac{a^{4} \mathrm{arccoth}\left(a x \right) x}{2 \left(a^{2} c +d \right) \left(a^{2} d \,x^{2}+a^{2} c \right)}-\frac{\sqrt{-a^{2} c d}\, \mathrm{arccoth}\left(a x \right)^{2}}{4 a \left(a^{2} c +d \right) c^{2}}-\frac{a d \ln \left(\frac{a x -1}{a x +1}\right)}{2 \left(a^{2} c +d \right)^{2} c}-\frac{a^{4} \sqrt{c d}\, \arctan \left(\frac{d^{2} x}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{d a c}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{a^{2} \sqrt{c d}\, x}{a^{2} c +d}-\frac{a \sqrt{c d}}{a^{2} c +d}\right)}{4 d \left(a^{2} c +d \right)^{2}}+\frac{\sqrt{c d}\, d \arctan \left(\frac{d^{2} x}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{d a c}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{a^{2} \sqrt{c d}\, x}{a^{2} c +d}-\frac{a \sqrt{c d}}{a^{2} c +d}\right)}{4 c^{2} \left(a^{2} c +d \right)^{2}}+\frac{\sqrt{-a^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c +2 \sqrt{-a^{2} c d}-d \right)}\right)}{8 a \left(a^{2} c +d \right) c^{2}}-\frac{3 a^{3} \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}}{8 \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right) \left(a^{2} c +d \right)}-\frac{\sqrt{c d}\, \arctan \left(\frac{a \sqrt{c d}}{d}\right)}{4 c^{2} \left(a^{2} c +d \right)}-\frac{\sqrt{c d}\, \arctan \left(\frac{d^{2} x}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{d a c}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{a^{2} \sqrt{c d}\, x}{a^{2} c +d}-\frac{a \sqrt{c d}}{a^{2} c +d}\right)}{4 c^{2} \left(a^{2} c +d \right)}-\frac{a^{3} \mathrm{arccoth}\left(a x \right)}{2 \left(a^{2} c +d \right) \left(a^{2} d \,x^{2}+a^{2} c \right)}-\frac{a^{3} \ln \left(\frac{a x -1}{a x +1}\right)}{2 \left(a^{2} c +d \right)^{2}}-\frac{a^{3} \ln \left(\frac{a^{2} c \left(a x +1\right)^{2}}{\left(a x -1\right)^{2}}-\frac{2 a^{2} c \left(a x +1\right)}{a x -1}+\frac{d \left(a x +1\right)^{2}}{\left(a x -1\right)^{2}}+a^{2} c +\frac{2 \left(a x +1\right) d}{a x -1}+d \right)}{4 \left(a^{2} c +d \right)^{2}}-\frac{d^{2} \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}}{8 a \left(a^{2} c +d \right) c^{2} \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{a^{5} \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}\, c}{8 d \left(a^{2} c +d \right) \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{3 a d \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \sqrt{-a^{2} c d}}{8 \left(a^{2} c +d \right) c \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}-\frac{3 a^{3} \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c -2 \sqrt{-a^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(a x \right) \sqrt{-a^{2} c d}}{4 \left(a^{2} c +d \right) \left(a^{4} c^{2}+2 a^{2} c d +d^{2}\right)}+\frac{a \sqrt{-a^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c +2 \sqrt{-a^{2} c d}-d \right)}\right)}{8 c d \left(a^{2} c +d \right)}+\frac{a^{2} \sqrt{c d}\, \arctan \left(\frac{d^{2} x}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{d a c}{\left(a^{2} c +d \right) \sqrt{c d}}+\frac{a^{2} \sqrt{c d}\, x}{a^{2} c +d}-\frac{a \sqrt{c d}}{a^{2} c +d}\right)}{4 c d \left(a^{2} c +d \right)}-\frac{a \sqrt{-a^{2} c d}\, \mathrm{arccoth}\left(a x \right)^{2}}{4 c d \left(a^{2} c +d \right)}+\frac{\sqrt{-a^{2} c d}\, \mathrm{arccoth}\left(a x \right) \ln \left(1-\frac{\left(a^{2} c +d \right) \left(a x +1\right)}{\left(a x -1\right) \left(a^{2} c +2 \sqrt{-a^{2} c d}-d \right)}\right)}{4 a \left(a^{2} c +d \right) c^{2}}+\frac{a^{2} \sqrt{c d}\, \arctan \left(\frac{a \sqrt{c d}}{d}\right)}{4 c d \left(a^{2} c +d \right)}"," ",0,"3/4*a^3*arccoth(a*x)^2/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*(-a^2*c*d)^(1/2)-1/2*a^3*arccoth(a*x)/c/(a^2*c+d)/(a^2*d*x^2+a^2*c)*d*x^2+1/2*a^2*arccoth(a*x)/c/(a^2*c+d)/(a^2*d*x^2+a^2*c)*x*d-1/8/a/(a^2*c+d)/c^2*d^2/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)+1/4/a/(a^2*c+d)/c^2*d^2/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2*(-a^2*c*d)^(1/2)-1/8*a^5/d/(a^2*c+d)/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)*c+1/4*a*(-a^2*c*d)^(1/2)/c/d/(a^2*c+d)*arccoth(a*x)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-3/8*a/(a^2*c+d)/c*d/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)+1/4*a^5/d/(a^2*c+d)/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2*(-a^2*c*d)^(1/2)*c+3/4*a/(a^2*c+d)/c*d/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2*(-a^2*c*d)^(1/2)-1/4*a^5/d/(a^2*c+d)/(a^4*c^2+2*a^2*c*d+d^2)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)*c-1/4/a/(a^2*c+d)/c^2*d^2/(a^4*c^2+2*a^2*c*d+d^2)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)-3/4*a*d*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)/(a^2*c+d)/c/(a^4*c^2+2*a^2*c*d+d^2)*(-a^2*c*d)^(1/2)-1/4*a^4*(c*d)^(1/2)/d/(a^2*c+d)^2*arctan(a/d*(c*d)^(1/2))+1/4*(c*d)^(1/2)/c^2*d/(a^2*c+d)^2*arctan(a/d*(c*d)^(1/2))-1/4*a/(a^2*c+d)^2/c*d*ln(a^2*c/(a*x-1)^2*(a*x+1)^2-2*a^2*c*(a*x+1)/(a*x-1)+d/(a*x-1)^2*(a*x+1)^2+a^2*c+2*(a*x+1)/(a*x-1)*d+d)+1/2*a^4*arccoth(a*x)/(a^2*c+d)/(a^2*d*x^2+a^2*c)*x-1/4/a*(-a^2*c*d)^(1/2)/(a^2*c+d)/c^2*arccoth(a*x)^2+1/8/a*(-a^2*c*d)^(1/2)/(a^2*c+d)/c^2*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-1/2*a/(a^2*c+d)^2/c*d*ln((a*x-1)/(a*x+1))-1/4*a^4*(c*d)^(1/2)/d/(a^2*c+d)^2*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-3/8*a^3*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*(-a^2*c*d)^(1/2)+1/4*(c*d)^(1/2)/c^2*d/(a^2*c+d)^2*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-1/4*(c*d)^(1/2)/c^2/(a^2*c+d)*arctan(a/d*(c*d)^(1/2))-1/4*(c*d)^(1/2)/c^2/(a^2*c+d)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-1/2*a^3*arccoth(a*x)/(a^2*c+d)/(a^2*d*x^2+a^2*c)-1/2*a^3/(a^2*c+d)^2*ln((a*x-1)/(a*x+1))-1/4*a^3/(a^2*c+d)^2*ln(a^2*c/(a*x-1)^2*(a*x+1)^2-2*a^2*c*(a*x+1)/(a*x-1)+d/(a*x-1)^2*(a*x+1)^2+a^2*c+2*(a*x+1)/(a*x-1)*d+d)-3/4*a^3/(a^2*c+d)/(a^4*c^2+2*a^2*c*d+d^2)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)+1/4*a^2*(c*d)^(1/2)/c/d/(a^2*c+d)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-1/4*a*(-a^2*c*d)^(1/2)/c/d/(a^2*c+d)*arccoth(a*x)^2+1/4/a*(-a^2*c*d)^(1/2)/(a^2*c+d)/c^2*arccoth(a*x)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))+1/8*a*(-a^2*c*d)^(1/2)/c/d/(a^2*c+d)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))+1/4*a^2*(c*d)^(1/2)/c/d/(a^2*c+d)*arctan(a/d*(c*d)^(1/2))","B"
41,1,4128,493,0.837000," ","int(arccoth(a*x)/(d*x^2+c)^3,x)","\text{output too large to display}"," ",0,"-3/16*a^4*(c*d)^(1/2)/c/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(a/d*(c*d)^(1/2))+1/8*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*d-5/8*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*ln((a*x-1)/(a*x+1))-5/16*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*ln(a^2*c/(a*x-1)^2*(a*x+1)^2-2*a^2*c*(a*x+1)/(a*x-1)+d/(a*x-1)^2*(a*x+1)^2+a^2*c+2*(a*x+1)/(a*x-1)*d+d)+3/4*a^5*arccoth(a*x)^2/(a^4*c^2+2*a^2*c*d+d^2)^2*(-a^2*c*d)^(1/2)-3/8*a^5/(a^4*c^2+2*a^2*c*d+d^2)^2*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)-5/16*a^6*(c*d)^(1/2)/d/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(a/d*(c*d)^(1/2))+5/16*a^4*(c*d)^(1/2)/c/d/(a^4*c^2+2*a^2*c*d+d^2)*arctan(a/d*(c*d)^(1/2))+3/16*(c*d)^(1/2)/c^3*d^2/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(a/d*(c*d)^(1/2))+5/8*a^8/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*c*arccoth(a*x)*x+3/8*a*(-a^2*c*d)^(1/2)/c^2/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-3/32*a^7/d/(a^4*c^2+2*a^2*c*d+d^2)^2*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)*c+3/16*a^7/d/(a^4*c^2+2*a^2*c*d+d^2)^2*arccoth(a*x)^2*(-a^2*c*d)^(1/2)*c-3/16/a*(-a^2*c*d)^(1/2)/c^3*d/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2+3/32/a*(-a^2*c*d)^(1/2)/c^3*d/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-3/32/a/c^3*d^3/(a^4*c^2+2*a^2*c*d+d^2)^2*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)+3/16/a/c^3*d^3/(a^4*c^2+2*a^2*c*d+d^2)^2*arccoth(a*x)^2*(-a^2*c*d)^(1/2)+3/8*a^8/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*arccoth(a*x)*x^3*d-5/4*a^7/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*arccoth(a*x)*x^2*d+5/4*a^6/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*arccoth(a*x)*x*d-3/16*a^4*(c*d)^(1/2)/c/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))+3/32*a^3*(-a^2*c*d)^(1/2)/c/d/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-3/16*a^3*(-a^2*c*d)^(1/2)/c/d/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2-9/16*a^3/c/(a^4*c^2+2*a^2*c*d+d^2)^2*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*(-a^2*c*d)^(1/2)*d+3/4*a*d^2*arccoth(a*x)^2/c^2/(a^4*c^2+2*a^2*c*d+d^2)^2*(-a^2*c*d)^(1/2)-3/8*a*d^2*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))/c^2/(a^4*c^2+2*a^2*c*d+d^2)^2*(-a^2*c*d)^(1/2)-5/16*a^6*(c*d)^(1/2)/d/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-3/16*a/c^2/(a^4*c^2+2*a^2*c*d+d^2)*d^2/(a^2*c+d)*ln(a^2*c/(a*x-1)^2*(a*x+1)^2-2*a^2*c*(a*x+1)/(a*x-1)+d/(a*x-1)^2*(a*x+1)^2+a^2*c+2*(a*x+1)/(a*x-1)*d+d)-3/8*a/c^2/(a^4*c^2+2*a^2*c*d+d^2)*d^2/(a^2*c+d)*ln((a*x-1)/(a*x+1))-a^3/c/(a^4*c^2+2*a^2*c*d+d^2)*d/(a^2*c+d)*ln((a*x-1)/(a*x+1))+5/16*a^4*(c*d)^(1/2)/c/d/(a^4*c^2+2*a^2*c*d+d^2)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-1/2*a^3/c/(a^4*c^2+2*a^2*c*d+d^2)*d/(a^2*c+d)*ln(a^2*c/(a*x-1)^2*(a*x+1)^2-2*a^2*c*(a*x+1)/(a*x-1)+d/(a*x-1)^2*(a*x+1)^2+a^2*c+2*(a*x+1)/(a*x-1)*d+d)+9/8*a^3*d*arccoth(a*x)^2/c/(a^4*c^2+2*a^2*c*d+d^2)^2*(-a^2*c*d)^(1/2)+3/16*(c*d)^(1/2)/c^3*d^2/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-1/8*a^7/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c*d^2*x^4+1/8*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c*d^2*x^2-1/8*a^2*(c*d)^(1/2)/c^2/(a^4*c^2+2*a^2*c*d+d^2)*arctan(a/d*(c*d)^(1/2))-3/16*(c*d)^(1/2)/c^3*d/(a^4*c^2+2*a^2*c*d+d^2)*arctan(a/d*(c*d)^(1/2))-1/8*a^7/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*d*x^2-3/4*a^5*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)/(a^4*c^2+2*a^2*c*d+d^2)^2*(-a^2*c*d)^(1/2)-5/8*a^7/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*c*arccoth(a*x)-1/8*a^2*(c*d)^(1/2)/c^2/(a^4*c^2+2*a^2*c*d+d^2)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))-3/8*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2*d*arccoth(a*x)-3/8*a*(-a^2*c*d)^(1/2)/c^2/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)^2+3/16*a*(-a^2*c*d)^(1/2)/c^2/(a^4*c^2+2*a^2*c*d+d^2)*polylog(2,(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-3/16*(c*d)^(1/2)/c^3*d/(a^4*c^2+2*a^2*c*d+d^2)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))+3/16/a*(-a^2*c*d)^(1/2)/c^3*d/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-9/8*a^3/c*d/(a^4*c^2+2*a^2*c*d+d^2)^2*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)-3/4*a/c^2*d^2/(a^4*c^2+2*a^2*c*d+d^2)^2*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)-3/16*a^7/d/(a^4*c^2+2*a^2*c*d+d^2)^2*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)*c-5/8*a^7/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c*arccoth(a*x)*x^4*d^2-3/8*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c^2*arccoth(a*x)*x^4*d^3+3/4*a^6/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c*arccoth(a*x)*x^3*d^2+3/8*a^4/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c^2*arccoth(a*x)*x^3*d^3-3/4*a^5/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c*arccoth(a*x)*x^2*d^2+5/8*a^4/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*d*x^2+a^2*c)^2/c*arccoth(a*x)*x*d^2+5/16*a^2*(c*d)^(1/2)/c^2*d/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(1/(a^2*c+d)*d^2/(c*d)^(1/2)*x+1/(a^2*c+d)*d/(c*d)^(1/2)*a*c+a^2/(a^2*c+d)*(c*d)^(1/2)*x-a/(a^2*c+d)*(c*d)^(1/2))+3/16*a^3*(-a^2*c*d)^(1/2)/c/d/(a^4*c^2+2*a^2*c*d+d^2)*arccoth(a*x)*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c+2*(-a^2*c*d)^(1/2)-d))-3/16/a/c^3*d^3/(a^4*c^2+2*a^2*c*d+d^2)^2*ln(1-(a^2*c+d)*(a*x+1)/(a*x-1)/(a^2*c-2*(-a^2*c*d)^(1/2)-d))*arccoth(a*x)*(-a^2*c*d)^(1/2)+5/16*a^2*(c*d)^(1/2)/c^2*d/(a^4*c^2+2*a^2*c*d+d^2)/(a^2*c+d)*arctan(a/d*(c*d)^(1/2))","B"
42,0,0,16,1.267000," ","int((d*x^2+c)^(1/2)*arccoth(a*x),x)","\int \sqrt{d \,x^{2}+c}\, \mathrm{arccoth}\left(a x \right)\, dx"," ",0,"int((d*x^2+c)^(1/2)*arccoth(a*x),x)","F"
43,0,0,16,1.008000," ","int(arccoth(a*x)/(d*x^2+c)^(1/2),x)","\int \frac{\mathrm{arccoth}\left(a x \right)}{\sqrt{d \,x^{2}+c}}\, dx"," ",0,"int(arccoth(a*x)/(d*x^2+c)^(1/2),x)","F"
44,0,0,54,0.937000," ","int(arccoth(a*x)/(d*x^2+c)^(3/2),x)","\int \frac{\mathrm{arccoth}\left(a x \right)}{\left(d \,x^{2}+c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(arccoth(a*x)/(d*x^2+c)^(3/2),x)","F"
45,0,0,108,0.944000," ","int(arccoth(a*x)/(d*x^2+c)^(5/2),x)","\int \frac{\mathrm{arccoth}\left(a x \right)}{\left(d \,x^{2}+c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(arccoth(a*x)/(d*x^2+c)^(5/2),x)","F"
46,0,0,172,0.948000," ","int(arccoth(a*x)/(d*x^2+c)^(7/2),x)","\int \frac{\mathrm{arccoth}\left(a x \right)}{\left(d \,x^{2}+c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(arccoth(a*x)/(d*x^2+c)^(7/2),x)","F"
47,0,0,247,0.943000," ","int(arccoth(a*x)/(d*x^2+c)^(9/2),x)","\int \frac{\mathrm{arccoth}\left(a x \right)}{\left(d \,x^{2}+c \right)^{\frac{9}{2}}}\, dx"," ",0,"int(arccoth(a*x)/(d*x^2+c)^(9/2),x)","F"
48,1,199,146,0.658000," ","int((-a*x^2+a)^(1/2)*arccoth(x),x)","\frac{\left(\mathrm{arccoth}\left(x \right) x +1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{2}+\frac{\sqrt{-\left(-1+x \right) \left(1+x \right) a}\, \sqrt{\frac{-1+x}{1+x}}\, \mathrm{arccoth}\left(x \right) \ln \left(1-\frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right)}{-2+2 x}+\frac{\sqrt{-\left(-1+x \right) \left(1+x \right) a}\, \sqrt{\frac{-1+x}{1+x}}\, \polylog \left(2, \frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right)}{-2+2 x}-\frac{\sqrt{-\left(-1+x \right) \left(1+x \right) a}\, \sqrt{\frac{-1+x}{1+x}}\, \mathrm{arccoth}\left(x \right) \ln \left(1+\frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right)}{2 \left(-1+x \right)}-\frac{\sqrt{-\left(-1+x \right) \left(1+x \right) a}\, \sqrt{\frac{-1+x}{1+x}}\, \polylog \left(2, -\frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right)}{2 \left(-1+x \right)}"," ",0,"1/2*(arccoth(x)*x+1)*(-(-1+x)*(1+x)*a)^(1/2)+1/2*(-(-1+x)*(1+x)*a)^(1/2)*((-1+x)/(1+x))^(1/2)/(-1+x)*arccoth(x)*ln(1-1/((-1+x)/(1+x))^(1/2))+1/2*(-(-1+x)*(1+x)*a)^(1/2)*((-1+x)/(1+x))^(1/2)/(-1+x)*polylog(2,1/((-1+x)/(1+x))^(1/2))-1/2*(-(-1+x)*(1+x)*a)^(1/2)*((-1+x)/(1+x))^(1/2)/(-1+x)*arccoth(x)*ln(1+1/((-1+x)/(1+x))^(1/2))-1/2*(-(-1+x)*(1+x)*a)^(1/2)*((-1+x)/(1+x))^(1/2)/(-1+x)*polylog(2,-1/((-1+x)/(1+x))^(1/2))","A"
49,1,190,116,0.557000," ","int(arccoth(x)/(-a*x^2+a)^(1/2),x)","\frac{\ln \left(1-\frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right) \mathrm{arccoth}\left(x \right) \sqrt{\frac{-1+x}{1+x}}\, \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{\left(-1+x \right) a}+\frac{\polylog \left(2, \frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right) \sqrt{\frac{-1+x}{1+x}}\, \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{\left(-1+x \right) a}-\frac{\ln \left(1+\frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right) \mathrm{arccoth}\left(x \right) \sqrt{\frac{-1+x}{1+x}}\, \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{\left(-1+x \right) a}-\frac{\polylog \left(2, -\frac{1}{\sqrt{\frac{-1+x}{1+x}}}\right) \sqrt{\frac{-1+x}{1+x}}\, \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{\left(-1+x \right) a}"," ",0,"ln(1-1/((-1+x)/(1+x))^(1/2))*arccoth(x)*((-1+x)/(1+x))^(1/2)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a+polylog(2,1/((-1+x)/(1+x))^(1/2))*((-1+x)/(1+x))^(1/2)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a-ln(1+1/((-1+x)/(1+x))^(1/2))*arccoth(x)*((-1+x)/(1+x))^(1/2)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a-polylog(2,-1/((-1+x)/(1+x))^(1/2))*((-1+x)/(1+x))^(1/2)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a","A"
50,1,52,33,0.485000," ","int(arccoth(x)/(-a*x^2+a)^(3/2),x)","-\frac{\left(\mathrm{arccoth}\left(x \right)-1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{2 \left(-1+x \right) a^{2}}-\frac{\left(\mathrm{arccoth}\left(x \right)+1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{2 \left(1+x \right) a^{2}}"," ",0,"-1/2*(arccoth(x)-1)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a^2-1/2*(arccoth(x)+1)*(-(-1+x)*(1+x)*a)^(1/2)/(1+x)/a^2","A"
51,1,112,67,0.513000," ","int(arccoth(x)/(-a*x^2+a)^(5/2),x)","\frac{\left(1+x \right) \left(-1+3 \,\mathrm{arccoth}\left(x \right)\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{72 \left(-1+x \right)^{2} a^{3}}-\frac{3 \left(\mathrm{arccoth}\left(x \right)-1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{8 \left(-1+x \right) a^{3}}-\frac{3 \left(\mathrm{arccoth}\left(x \right)+1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{8 \left(1+x \right) a^{3}}+\frac{\left(1+3 \,\mathrm{arccoth}\left(x \right)\right) \left(-1+x \right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{72 \left(1+x \right)^{2} a^{3}}"," ",0,"1/72*(1+x)*(-1+3*arccoth(x))*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)^2/a^3-3/8*(arccoth(x)-1)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a^3-3/8*(arccoth(x)+1)*(-(-1+x)*(1+x)*a)^(1/2)/(1+x)/a^3+1/72*(1+3*arccoth(x))*(-1+x)*(-(-1+x)*(1+x)*a)^(1/2)/(1+x)^2/a^3","A"
52,1,176,100,0.522000," ","int(arccoth(x)/(-a*x^2+a)^(7/2),x)","-\frac{\left(1+x \right)^{2} \left(-1+5 \,\mathrm{arccoth}\left(x \right)\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{800 \left(-1+x \right)^{3} a^{4}}+\frac{5 \left(1+x \right) \left(-1+3 \,\mathrm{arccoth}\left(x \right)\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{288 \left(-1+x \right)^{2} a^{4}}-\frac{5 \left(\mathrm{arccoth}\left(x \right)-1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{16 \left(-1+x \right) a^{4}}-\frac{5 \left(\mathrm{arccoth}\left(x \right)+1\right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{16 \left(1+x \right) a^{4}}+\frac{5 \left(1+3 \,\mathrm{arccoth}\left(x \right)\right) \left(-1+x \right) \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{288 \left(1+x \right)^{2} a^{4}}-\frac{\left(1+5 \,\mathrm{arccoth}\left(x \right)\right) \left(-1+x \right)^{2} \sqrt{-\left(-1+x \right) \left(1+x \right) a}}{800 \left(1+x \right)^{3} a^{4}}"," ",0,"-1/800*(1+x)^2*(-1+5*arccoth(x))*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)^3/a^4+5/288*(1+x)*(-1+3*arccoth(x))*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)^2/a^4-5/16*(arccoth(x)-1)*(-(-1+x)*(1+x)*a)^(1/2)/(-1+x)/a^4-5/16*(arccoth(x)+1)*(-(-1+x)*(1+x)*a)^(1/2)/(1+x)/a^4+5/288*(1+3*arccoth(x))*(-1+x)*(-(-1+x)*(1+x)*a)^(1/2)/(1+x)^2/a^4-1/800*(1+5*arccoth(x))*(-1+x)^2*(-(-1+x)*(1+x)*a)^(1/2)/(1+x)^3/a^4","A"
53,1,4,3,0.057000," ","int(1/(-x^2+1)/arccoth(x),x)","\ln \left(\mathrm{arccoth}\left(x \right)\right)"," ",0,"ln(arccoth(x))","A"
54,1,13,12,0.059000," ","int(arccoth(x)^n/(-x^2+1),x)","\frac{\mathrm{arccoth}\left(x \right)^{1+n}}{1+n}"," ",0,"arccoth(x)^(1+n)/(1+n)","A"
55,1,707,52,2.003000," ","int(arccoth(x)^2/(-x^2+1)^2,x)","-\frac{\mathrm{arccoth}\left(x \right)^{2}}{4 \left(-1+x \right)}-\frac{\mathrm{arccoth}\left(x \right)^{2} \ln \left(-1+x \right)}{4}-\frac{\mathrm{arccoth}\left(x \right)^{2}}{4 \left(1+x \right)}+\frac{\mathrm{arccoth}\left(x \right)^{2} \ln \left(1+x \right)}{4}+\frac{\mathrm{arccoth}\left(x \right)^{2} \ln \left(\frac{-1+x}{1+x}\right)}{4}+\frac{-3 i \mathrm{arccoth}\left(x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i}{\frac{1+x}{-1+x}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right)^{2} x^{2}+3 i \mathrm{arccoth}\left(x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right) \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{-1+x}{1+x}}}\right)^{2} x^{2}+3 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{1+x}{-1+x}-1}\right) \mathrm{arccoth}\left(x \right)^{2} \pi +3 i \mathrm{arccoth}\left(x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right) \mathrm{csgn}\left(\frac{i}{\frac{1+x}{-1+x}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right) x^{2}+3 i \mathrm{arccoth}\left(x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right)^{3} x^{2}-3 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right) \mathrm{csgn}\left(\frac{i}{\frac{1+x}{-1+x}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right) \mathrm{arccoth}\left(x \right)^{2} \pi +6 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{-1+x}{1+x}}}\right) \mathrm{arccoth}\left(x \right)^{2} \pi +3 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right) \mathrm{arccoth}\left(x \right)^{2} \pi +3 i \mathrm{arccoth}\left(x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right)^{3} x^{2}-3 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right) \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{-1+x}{1+x}}}\right)^{2} \mathrm{arccoth}\left(x \right)^{2} \pi -6 i \mathrm{arccoth}\left(x \right)^{2} \pi  \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right)^{2} \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{-1+x}{1+x}}}\right) x^{2}-3 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right)^{3} \mathrm{arccoth}\left(x \right)^{2} \pi -3 i \mathrm{arccoth}\left(x \right)^{2} \pi  \,\mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right) \mathrm{csgn}\left(\frac{i \left(1+x \right)}{\left(-1+x \right) \left(\frac{1+x}{-1+x}-1\right)}\right)^{2} x^{2}-3 i \mathrm{csgn}\left(\frac{i \left(1+x \right)}{-1+x}\right)^{3} \mathrm{arccoth}\left(x \right)^{2} \pi +4 \mathrm{arccoth}\left(x \right)^{3} x^{2}-4 \mathrm{arccoth}\left(x \right)^{3}+6 \,\mathrm{arccoth}\left(x \right) x^{2}+6 \,\mathrm{arccoth}\left(x \right)-6 x}{24 \left(-1+x \right) \left(1+x \right)}"," ",0,"-1/4*arccoth(x)^2/(-1+x)-1/4*arccoth(x)^2*ln(-1+x)-1/4*arccoth(x)^2/(1+x)+1/4*arccoth(x)^2*ln(1+x)+1/4*arccoth(x)^2*ln((-1+x)/(1+x))+1/24*(-3*I*arccoth(x)^2*Pi*csgn(I/((1+x)/(-1+x)-1))*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))^2*x^2+3*I*arccoth(x)^2*Pi*csgn(I*(1+x)/(-1+x))*csgn(I/((-1+x)/(1+x))^(1/2))^2*x^2+3*I*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))^2*csgn(I/((1+x)/(-1+x)-1))*arccoth(x)^2*Pi+3*I*arccoth(x)^2*Pi*csgn(I*(1+x)/(-1+x))*csgn(I/((1+x)/(-1+x)-1))*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))*x^2+3*I*arccoth(x)^2*Pi*csgn(I*(1+x)/(-1+x))^3*x^2-3*I*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))*csgn(I/((1+x)/(-1+x)-1))*csgn(I*(1+x)/(-1+x))*arccoth(x)^2*Pi+6*I*csgn(I*(1+x)/(-1+x))^2*csgn(I/((-1+x)/(1+x))^(1/2))*arccoth(x)^2*Pi+3*I*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))^2*csgn(I*(1+x)/(-1+x))*arccoth(x)^2*Pi+3*I*arccoth(x)^2*Pi*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))^3*x^2-3*I*csgn(I*(1+x)/(-1+x))*csgn(I/((-1+x)/(1+x))^(1/2))^2*arccoth(x)^2*Pi-6*I*arccoth(x)^2*Pi*csgn(I*(1+x)/(-1+x))^2*csgn(I/((-1+x)/(1+x))^(1/2))*x^2-3*I*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))^3*arccoth(x)^2*Pi-3*I*arccoth(x)^2*Pi*csgn(I*(1+x)/(-1+x))*csgn(I*(1+x)/(-1+x)/((1+x)/(-1+x)-1))^2*x^2-3*I*csgn(I*(1+x)/(-1+x))^3*arccoth(x)^2*Pi+4*arccoth(x)^3*x^2-4*arccoth(x)^3+6*arccoth(x)*x^2+6*arccoth(x)-6*x)/(-1+x)/(1+x)","C"
56,1,75,33,0.053000," ","int(x*arccoth(x)/(-x^2+1),x)","-\frac{\mathrm{arccoth}\left(x \right) \ln \left(-1+x \right)}{2}-\frac{\mathrm{arccoth}\left(x \right) \ln \left(1+x \right)}{2}-\frac{\ln \left(-1+x \right)^{2}}{8}+\frac{\dilog \left(\frac{1}{2}+\frac{x}{2}\right)}{2}+\frac{\ln \left(-1+x \right) \ln \left(\frac{1}{2}+\frac{x}{2}\right)}{4}+\frac{\ln \left(1+x \right)^{2}}{8}-\frac{\left(\ln \left(1+x \right)-\ln \left(\frac{1}{2}+\frac{x}{2}\right)\right) \ln \left(-\frac{x}{2}+\frac{1}{2}\right)}{4}"," ",0,"-1/2*arccoth(x)*ln(-1+x)-1/2*arccoth(x)*ln(1+x)-1/8*ln(-1+x)^2+1/2*dilog(1/2+1/2*x)+1/4*ln(-1+x)*ln(1/2+1/2*x)+1/8*ln(1+x)^2-1/4*(ln(1+x)-ln(1/2+1/2*x))*ln(-1/2*x+1/2)","B"
57,1,13,6,0.040000," ","int(arccoth(x)/(-x^2+1),x)","\arctanh \left(x \right) \mathrm{arccoth}\left(x \right)-\frac{\arctanh \left(x \right)^{2}}{2}"," ",0,"arctanh(x)*arccoth(x)-1/2*arctanh(x)^2","A"
58,1,39,30,0.038000," ","int(x*arccoth(x)/(-x^2+1)^2,x)","-\frac{\mathrm{arccoth}\left(x \right)}{2 \left(x^{2}-1\right)}+\frac{1}{-8+8 x}+\frac{\ln \left(-1+x \right)}{8}+\frac{1}{8+8 x}-\frac{\ln \left(1+x \right)}{8}"," ",0,"-1/2/(x^2-1)*arccoth(x)+1/8/(-1+x)+1/8*ln(-1+x)+1/8/(1+x)-1/8*ln(1+x)","A"
59,1,99,32,0.065000," ","int(arccoth(x)/(-x^2+1)^2,x)","-\frac{\mathrm{arccoth}\left(x \right)}{4 \left(-1+x \right)}-\frac{\mathrm{arccoth}\left(x \right) \ln \left(-1+x \right)}{4}-\frac{\mathrm{arccoth}\left(x \right)}{4 \left(1+x \right)}+\frac{\mathrm{arccoth}\left(x \right) \ln \left(1+x \right)}{4}-\frac{\ln \left(1+x \right)^{2}}{16}+\frac{\left(\ln \left(1+x \right)-\ln \left(\frac{1}{2}+\frac{x}{2}\right)\right) \ln \left(-\frac{x}{2}+\frac{1}{2}\right)}{8}-\frac{\ln \left(-1+x \right)^{2}}{16}+\frac{\ln \left(-1+x \right) \ln \left(\frac{1}{2}+\frac{x}{2}\right)}{8}+\frac{1}{-8+8 x}-\frac{1}{8 \left(1+x \right)}"," ",0,"-1/4*arccoth(x)/(-1+x)-1/4*arccoth(x)*ln(-1+x)-1/4*arccoth(x)/(1+x)+1/4*arccoth(x)*ln(1+x)-1/16*ln(1+x)^2+1/8*(ln(1+x)-ln(1/2+1/2*x))*ln(-1/2*x+1/2)-1/16*ln(-1+x)^2+1/8*ln(-1+x)*ln(1/2+1/2*x)+1/8/(-1+x)-1/8/(1+x)","B"
60,1,53,42,0.038000," ","int(x*arccoth(x)/(-x^2+1)^3,x)","\frac{\mathrm{arccoth}\left(x \right)}{4 \left(x^{2}-1\right)^{2}}-\frac{1}{64 \left(-1+x \right)^{2}}+\frac{3}{64 \left(-1+x \right)}+\frac{3 \ln \left(-1+x \right)}{64}+\frac{1}{64 \left(1+x \right)^{2}}+\frac{3}{64 \left(1+x \right)}-\frac{3 \ln \left(1+x \right)}{64}"," ",0,"1/4/(x^2-1)^2*arccoth(x)-1/64/(-1+x)^2+3/64/(-1+x)+3/64*ln(-1+x)+1/64/(1+x)^2+3/64/(1+x)-3/64*ln(1+x)","A"
61,1,131,57,0.070000," ","int(arccoth(x)/(-x^2+1)^3,x)","\frac{\mathrm{arccoth}\left(x \right)}{16 \left(-1+x \right)^{2}}-\frac{3 \,\mathrm{arccoth}\left(x \right)}{16 \left(-1+x \right)}-\frac{3 \,\mathrm{arccoth}\left(x \right) \ln \left(-1+x \right)}{16}-\frac{\mathrm{arccoth}\left(x \right)}{16 \left(1+x \right)^{2}}-\frac{3 \,\mathrm{arccoth}\left(x \right)}{16 \left(1+x \right)}+\frac{3 \,\mathrm{arccoth}\left(x \right) \ln \left(1+x \right)}{16}-\frac{3 \ln \left(-1+x \right)^{2}}{64}+\frac{3 \ln \left(-1+x \right) \ln \left(\frac{1}{2}+\frac{x}{2}\right)}{32}-\frac{3 \ln \left(1+x \right)^{2}}{64}+\frac{3 \left(\ln \left(1+x \right)-\ln \left(\frac{1}{2}+\frac{x}{2}\right)\right) \ln \left(-\frac{x}{2}+\frac{1}{2}\right)}{32}-\frac{1}{64 \left(-1+x \right)^{2}}+\frac{7}{64 \left(-1+x \right)}-\frac{1}{64 \left(1+x \right)^{2}}-\frac{7}{64 \left(1+x \right)}"," ",0,"1/16*arccoth(x)/(-1+x)^2-3/16*arccoth(x)/(-1+x)-3/16*arccoth(x)*ln(-1+x)-1/16*arccoth(x)/(1+x)^2-3/16*arccoth(x)/(1+x)+3/16*arccoth(x)*ln(1+x)-3/64*ln(-1+x)^2+3/32*ln(-1+x)*ln(1/2+1/2*x)-3/64*ln(1+x)^2+3/32*(ln(1+x)-ln(1/2+1/2*x))*ln(-1/2*x+1/2)-1/64/(-1+x)^2+7/64/(-1+x)-1/64/(1+x)^2-7/64/(1+x)","B"
62,1,199,89,0.036000," ","int(x^3*arccoth(b*x+a),x)","\frac{a}{4 b^{4}}+\frac{x}{4 b^{3}}+\frac{x^{4} \mathrm{arccoth}\left(b x +a \right)}{4}+\frac{\ln \left(b x +a -1\right)}{8 b^{4}}-\frac{\ln \left(b x +a +1\right)}{8 b^{4}}-\frac{\ln \left(b x +a +1\right) a^{4}}{8 b^{4}}-\frac{\ln \left(b x +a +1\right) a^{3}}{2 b^{4}}-\frac{3 \ln \left(b x +a +1\right) a^{2}}{4 b^{4}}-\frac{\ln \left(b x +a +1\right) a}{2 b^{4}}+\frac{x^{3}}{12 b}-\frac{x^{2} a}{4 b^{2}}+\frac{3 x \,a^{2}}{4 b^{3}}+\frac{13 a^{3}}{12 b^{4}}+\frac{\ln \left(b x +a -1\right) a^{4}}{8 b^{4}}-\frac{\ln \left(b x +a -1\right) a^{3}}{2 b^{4}}+\frac{3 \ln \left(b x +a -1\right) a^{2}}{4 b^{4}}-\frac{\ln \left(b x +a -1\right) a}{2 b^{4}}"," ",0,"1/4/b^4*a+1/4*x/b^3+1/4*x^4*arccoth(b*x+a)+1/8/b^4*ln(b*x+a-1)-1/8/b^4*ln(b*x+a+1)-1/8/b^4*ln(b*x+a+1)*a^4-1/2/b^4*ln(b*x+a+1)*a^3-3/4/b^4*ln(b*x+a+1)*a^2-1/2/b^4*ln(b*x+a+1)*a+1/12*x^3/b-1/4/b^2*x^2*a+3/4/b^3*x*a^2+13/12/b^4*a^3+1/8/b^4*ln(b*x+a-1)*a^4-1/2/b^4*ln(b*x+a-1)*a^3+3/4/b^4*ln(b*x+a-1)*a^2-1/2/b^4*ln(b*x+a-1)*a","B"
63,1,146,70,0.035000," ","int(x^2*arccoth(b*x+a),x)","\frac{x^{3} \mathrm{arccoth}\left(b x +a \right)}{3}+\frac{x^{2}}{6 b}-\frac{2 a x}{3 b^{2}}-\frac{5 a^{2}}{6 b^{3}}-\frac{\ln \left(b x +a -1\right) a^{3}}{6 b^{3}}+\frac{\ln \left(b x +a -1\right) a^{2}}{2 b^{3}}-\frac{\ln \left(b x +a -1\right) a}{2 b^{3}}+\frac{\ln \left(b x +a -1\right)}{6 b^{3}}+\frac{\ln \left(b x +a +1\right) a^{3}}{6 b^{3}}+\frac{\ln \left(b x +a +1\right) a^{2}}{2 b^{3}}+\frac{\ln \left(b x +a +1\right) a}{2 b^{3}}+\frac{\ln \left(b x +a +1\right)}{6 b^{3}}"," ",0,"1/3*x^3*arccoth(b*x+a)+1/6*x^2/b-2/3*a*x/b^2-5/6/b^3*a^2-1/6/b^3*ln(b*x+a-1)*a^3+1/2/b^3*ln(b*x+a-1)*a^2-1/2/b^3*ln(b*x+a-1)*a+1/6/b^3*ln(b*x+a-1)+1/6/b^3*ln(b*x+a+1)*a^3+1/2/b^3*ln(b*x+a+1)*a^2+1/2/b^3*ln(b*x+a+1)*a+1/6/b^3*ln(b*x+a+1)","B"
64,1,89,57,0.033000," ","int(x*arccoth(b*x+a),x)","\frac{x^{2} \mathrm{arccoth}\left(b x +a \right)}{2}-\frac{\mathrm{arccoth}\left(b x +a \right) a^{2}}{2 b^{2}}+\frac{x}{2 b}+\frac{a}{2 b^{2}}+\frac{\ln \left(b x +a -1\right)}{4 b^{2}}-\frac{\ln \left(b x +a -1\right) a}{2 b^{2}}-\frac{\ln \left(b x +a +1\right)}{4 b^{2}}-\frac{\ln \left(b x +a +1\right) a}{2 b^{2}}"," ",0,"1/2*x^2*arccoth(b*x+a)-1/2/b^2*arccoth(b*x+a)*a^2+1/2*x/b+1/2/b^2*a+1/4/b^2*ln(b*x+a-1)-1/2/b^2*ln(b*x+a-1)*a-1/4/b^2*ln(b*x+a+1)-1/2/b^2*ln(b*x+a+1)*a","A"
65,1,36,33,0.029000," ","int(arccoth(b*x+a),x)","x \,\mathrm{arccoth}\left(b x +a \right)+\frac{\mathrm{arccoth}\left(b x +a \right) a}{b}+\frac{\ln \left(\left(b x +a \right)^{2}-1\right)}{2 b}"," ",0,"x*arccoth(b*x+a)+1/b*arccoth(b*x+a)*a+1/2/b*ln((b*x+a)^2-1)","A"
66,1,81,88,0.055000," ","int(arccoth(b*x+a)/x,x)","\ln \left(b x \right) \mathrm{arccoth}\left(b x +a \right)-\frac{\dilog \left(\frac{b x +a +1}{1+a}\right)}{2}-\frac{\ln \left(b x \right) \ln \left(\frac{b x +a +1}{1+a}\right)}{2}+\frac{\dilog \left(\frac{b x +a -1}{a -1}\right)}{2}+\frac{\ln \left(b x \right) \ln \left(\frac{b x +a -1}{a -1}\right)}{2}"," ",0,"ln(b*x)*arccoth(b*x+a)-1/2*dilog((b*x+a+1)/(1+a))-1/2*ln(b*x)*ln((b*x+a+1)/(1+a))+1/2*dilog((b*x+a-1)/(a-1))+1/2*ln(b*x)*ln((b*x+a-1)/(a-1))","A"
67,1,63,60,0.038000," ","int(arccoth(b*x+a)/x^2,x)","-\frac{\mathrm{arccoth}\left(b x +a \right)}{x}+\frac{b \ln \left(b x +a -1\right)}{2 a -2}-\frac{b \ln \left(b x +a +1\right)}{2+2 a}-\frac{b \ln \left(b x \right)}{\left(a -1\right) \left(1+a \right)}"," ",0,"-arccoth(b*x+a)/x+b/(2*a-2)*ln(b*x+a-1)-b/(2+2*a)*ln(b*x+a+1)-b/(a-1)/(1+a)*ln(b*x)","A"
68,1,82,82,0.041000," ","int(arccoth(b*x+a)/x^3,x)","-\frac{\mathrm{arccoth}\left(b x +a \right)}{2 x^{2}}-\frac{b^{2} \ln \left(b x +a -1\right)}{4 \left(a -1\right)^{2}}+\frac{b^{2} \ln \left(b x +a +1\right)}{4 \left(1+a \right)^{2}}+\frac{b}{2 \left(a -1\right) \left(1+a \right) x}+\frac{b^{2} a \ln \left(b x \right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}"," ",0,"-1/2*arccoth(b*x+a)/x^2-1/4*b^2/(a-1)^2*ln(b*x+a-1)+1/4*b^2*ln(b*x+a+1)/(1+a)^2+1/2*b/(a-1)/(1+a)/x+b^2*a/(a-1)^2/(1+a)^2*ln(b*x)","A"
69,1,967,251,0.066000," ","int(x^3*arccoth(b*x+a)^2,x)","\frac{3 \ln \left(b x +a +1\right) a^{2}}{2 b^{4}}+\frac{\ln \left(b x +a +1\right) a}{2 b^{4}}+\frac{3 \ln \left(b x +a -1\right) a^{2}}{2 b^{4}}-\frac{\ln \left(b x +a -1\right) a}{2 b^{4}}+\frac{x^{4} \mathrm{arccoth}\left(b x +a \right)^{2}}{4}-\frac{3 \ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{2}}{4 b^{4}}+\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{2 b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a^{3}}{b^{4}}-\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{4}}{8 b^{4}}-\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a^{3}}{2 b^{4}}+\frac{3 \,\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a^{2}}{2 b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a^{4}}{4 b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a}{b^{4}}+\frac{\ln \left(b x +a -1\right)}{3 b^{4}}+\frac{\ln \left(b x +a +1\right)}{3 b^{4}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a^{4}}{4 b^{4}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{4}}{8 b^{4}}-\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a}{2 b^{4}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{3}}{2 b^{4}}+\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{3}}{2 b^{4}}-\frac{5 a x}{6 b^{3}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{8 b^{4}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right)}{4 b^{4}}-\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{8 b^{4}}-\frac{\ln \left(b x +a -1\right)^{2} a}{4 b^{4}}+\frac{\ln \left(b x +a +1\right)^{2} a^{4}}{16 b^{4}}+\frac{\ln \left(b x +a +1\right)^{2} a^{3}}{4 b^{4}}+\frac{3 \ln \left(b x +a +1\right)^{2} a^{2}}{8 b^{4}}+\frac{\ln \left(b x +a +1\right)^{2} a}{4 b^{4}}+\frac{\ln \left(b x +a -1\right)^{2} a^{4}}{16 b^{4}}+\frac{\mathrm{arccoth}\left(b x +a \right) x}{2 b^{3}}-\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(b x +a +1\right)}{8 b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right)}{4 b^{4}}+\frac{\mathrm{arccoth}\left(b x +a \right) x^{3}}{6 b}+\frac{\mathrm{arccoth}\left(b x +a \right) a}{2 b^{4}}-\frac{\ln \left(b x +a -1\right)^{2} a^{3}}{4 b^{4}}+\frac{3 \ln \left(b x +a -1\right)^{2} a^{2}}{8 b^{4}}+\frac{13 \,\mathrm{arccoth}\left(b x +a \right) a^{3}}{6 b^{4}}+\frac{\dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{3}}{b^{4}}+\frac{\dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a}{b^{4}}+\frac{x^{2}}{12 b^{2}}-\frac{3 \,\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a^{2}}{2 b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a^{3}}{b^{4}}-\frac{\mathrm{arccoth}\left(b x +a \right) x^{2} a}{2 b^{2}}+\frac{3 \,\mathrm{arccoth}\left(b x +a \right) x \,a^{2}}{2 b^{3}}+\frac{3 \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{2}}{4 b^{4}}-\frac{3 \ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a^{2}}{4 b^{4}}-\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a^{4}}{8 b^{4}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{2 b^{4}}-\frac{11 a^{2}}{12 b^{4}}+\frac{\ln \left(b x +a -1\right)^{2}}{16 b^{4}}+\frac{\ln \left(b x +a +1\right)^{2}}{16 b^{4}}"," ",0,"3/2/b^4*ln(b*x+a+1)*a^2+1/2/b^4*ln(b*x+a+1)*a+3/2/b^4*ln(b*x+a-1)*a^2-1/2/b^4*ln(b*x+a-1)*a+1/4*x^4*arccoth(b*x+a)^2-3/4/b^4*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a^2+1/2/b^4*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a-1/b^4*arccoth(b*x+a)*ln(b*x+a-1)*a^3-1/8/b^4*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a^4-1/2/b^4*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a^3+3/2/b^4*arccoth(b*x+a)*ln(b*x+a-1)*a^2-1/4/b^4*arccoth(b*x+a)*ln(b*x+a+1)*a^4-1/b^4*arccoth(b*x+a)*ln(b*x+a+1)*a+1/3/b^4*ln(b*x+a-1)+1/3/b^4*ln(b*x+a+1)+1/4/b^4*arccoth(b*x+a)*ln(b*x+a-1)*a^4+1/8/b^4*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a^4-1/2/b^4*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a+1/2/b^4*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a^3+1/2/b^4*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a^3-5/6*a*x/b^3+1/8/b^4*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)+1/4/b^4*arccoth(b*x+a)*ln(b*x+a-1)-1/8/b^4*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)-1/4/b^4*ln(b*x+a-1)^2*a+1/b^4*dilog(1/2+1/2*b*x+1/2*a)*a^3+1/16/b^4*ln(b*x+a+1)^2*a^4+1/4/b^4*ln(b*x+a+1)^2*a^3+3/8/b^4*ln(b*x+a+1)^2*a^2+1/4/b^4*ln(b*x+a+1)^2*a+1/b^4*dilog(1/2+1/2*b*x+1/2*a)*a+1/16/b^4*ln(b*x+a-1)^2*a^4+1/2/b^3*arccoth(b*x+a)*x-1/8/b^4*ln(-1/2*b*x-1/2*a+1/2)*ln(b*x+a+1)-1/4/b^4*arccoth(b*x+a)*ln(b*x+a+1)+1/6/b*arccoth(b*x+a)*x^3+1/2/b^4*arccoth(b*x+a)*a-1/4/b^4*ln(b*x+a-1)^2*a^3+3/8/b^4*ln(b*x+a-1)^2*a^2+13/6/b^4*arccoth(b*x+a)*a^3-1/b^4*arccoth(b*x+a)*ln(b*x+a-1)*a+1/12*x^2/b^2-3/2/b^4*arccoth(b*x+a)*ln(b*x+a+1)*a^2-1/b^4*arccoth(b*x+a)*ln(b*x+a+1)*a^3-1/2/b^2*arccoth(b*x+a)*x^2*a+3/2/b^3*arccoth(b*x+a)*x*a^2+3/4/b^4*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a^2-3/4/b^4*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a^2-1/8/b^4*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a^4+1/2/b^4*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a-11/12/b^4*a^2+1/16/b^4*ln(b*x+a-1)^2+1/16/b^4*ln(b*x+a+1)^2","B"
70,1,729,190,0.063000," ","int(x^2*arccoth(b*x+a)^2,x)","\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a^{2}}{b^{3}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a}{b^{3}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a^{3}}{3 b^{3}}-\frac{4 \,\mathrm{arccoth}\left(b x +a \right) x a}{3 b^{2}}-\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{2}}{2 b^{3}}+\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{2 b^{3}}-\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{2}}{2 b^{3}}-\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{2 b^{3}}+\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{3}}{6 b^{3}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a^{3}}{3 b^{3}}+\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a^{3}}{6 b^{3}}+\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a^{2}}{2 b^{3}}+\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a}{2 b^{3}}-\frac{\ln \left(b x +a +1\right) a}{b^{3}}-\frac{\ln \left(b x +a -1\right) a}{b^{3}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a}{b^{3}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a^{2}}{b^{3}}-\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{3}}{6 b^{3}}+\frac{x^{3} \mathrm{arccoth}\left(b x +a \right)^{2}}{3}+\frac{x}{3 b^{2}}-\frac{\dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a^{2}}{b^{3}}-\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{6 b^{3}}+\frac{\ln \left(b x +a -1\right)^{2} a^{2}}{4 b^{3}}+\frac{\mathrm{arccoth}\left(b x +a \right) x^{2}}{3 b}-\frac{5 \,\mathrm{arccoth}\left(b x +a \right) a^{2}}{3 b^{3}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right)}{3 b^{3}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(b x +a +1\right)}{6 b^{3}}-\frac{\ln \left(b x +a +1\right)^{2} a^{3}}{12 b^{3}}-\frac{\ln \left(b x +a +1\right)^{2} a^{2}}{4 b^{3}}-\frac{\ln \left(b x +a +1\right)^{2} a}{4 b^{3}}-\frac{\ln \left(b x +a -1\right)^{2} a^{3}}{12 b^{3}}-\frac{\ln \left(b x +a -1\right)^{2} a}{4 b^{3}}-\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{6 b^{3}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right)}{3 b^{3}}+\frac{a}{3 b^{3}}+\frac{\ln \left(b x +a -1\right)^{2}}{12 b^{3}}-\frac{\ln \left(b x +a +1\right)^{2}}{12 b^{3}}-\frac{\dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{3 b^{3}}+\frac{\ln \left(b x +a -1\right)}{6 b^{3}}-\frac{\ln \left(b x +a +1\right)}{6 b^{3}}"," ",0,"1/b^3*arccoth(b*x+a)*ln(b*x+a-1)*a^2-1/b^3*arccoth(b*x+a)*ln(b*x+a-1)*a+1/3/b^3*arccoth(b*x+a)*ln(b*x+a+1)*a^3-4/3/b^2*arccoth(b*x+a)*x*a-1/2/b^3*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a^2+1/2/b^3*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a-1/2/b^3*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a^2-1/2/b^3*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a+1/6/b^3*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a^3-1/3/b^3*arccoth(b*x+a)*ln(b*x+a-1)*a^3+1/6/b^3*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a^3+1/2/b^3*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a^2+1/2/b^3*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a-1/b^3*ln(b*x+a+1)*a-1/b^3*ln(b*x+a-1)*a+1/b^3*arccoth(b*x+a)*ln(b*x+a+1)*a+1/b^3*arccoth(b*x+a)*ln(b*x+a+1)*a^2-1/6/b^3*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a^3+1/3*x^3*arccoth(b*x+a)^2+1/3*x/b^2-1/6/b^3*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)-1/b^3*dilog(1/2+1/2*b*x+1/2*a)*a^2+1/4/b^3*ln(b*x+a-1)^2*a^2+1/3/b*arccoth(b*x+a)*x^2-5/3/b^3*arccoth(b*x+a)*a^2+1/3/b^3*arccoth(b*x+a)*ln(b*x+a+1)+1/6/b^3*ln(-1/2*b*x-1/2*a+1/2)*ln(b*x+a+1)-1/12/b^3*ln(b*x+a+1)^2*a^3-1/4/b^3*ln(b*x+a+1)^2*a^2-1/4/b^3*ln(b*x+a+1)^2*a-1/12/b^3*ln(b*x+a-1)^2*a^3-1/4/b^3*ln(b*x+a-1)^2*a-1/6/b^3*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)+1/3/b^3*arccoth(b*x+a)*ln(b*x+a-1)+1/3/b^3*a-1/3/b^3*dilog(1/2+1/2*b*x+1/2*a)+1/12/b^3*ln(b*x+a-1)^2-1/12/b^3*ln(b*x+a+1)^2+1/6/b^3*ln(b*x+a-1)-1/6/b^3*ln(b*x+a+1)","B"
71,1,365,132,0.062000," ","int(x*arccoth(b*x+a)^2,x)","\frac{x^{2} \mathrm{arccoth}\left(b x +a \right)^{2}}{2}-\frac{\mathrm{arccoth}\left(b x +a \right)^{2} a^{2}}{2 b^{2}}+\frac{\mathrm{arccoth}\left(b x +a \right) x}{b}+\frac{\mathrm{arccoth}\left(b x +a \right) a}{b^{2}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right) a}{b^{2}}+\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right)}{2 b^{2}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right) a}{b^{2}}-\frac{\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right)}{2 b^{2}}+\frac{\ln \left(b x +a -1\right)}{2 b^{2}}+\frac{\ln \left(b x +a +1\right)}{2 b^{2}}+\frac{\ln \left(b x +a -1\right)^{2}}{8 b^{2}}-\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{4 b^{2}}-\frac{\ln \left(b x +a -1\right)^{2} a}{4 b^{2}}+\frac{\dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{b^{2}}+\frac{\ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{2 b^{2}}+\frac{\ln \left(b x +a +1\right)^{2} a}{4 b^{2}}-\frac{\ln \left(b x +a +1\right) \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) a}{2 b^{2}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right) a}{2 b^{2}}+\frac{\ln \left(b x +a +1\right)^{2}}{8 b^{2}}-\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(b x +a +1\right)}{4 b^{2}}+\frac{\ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{4 b^{2}}"," ",0,"1/2*x^2*arccoth(b*x+a)^2-1/2/b^2*arccoth(b*x+a)^2*a^2+1/b*arccoth(b*x+a)*x+1/b^2*arccoth(b*x+a)*a-1/b^2*arccoth(b*x+a)*ln(b*x+a-1)*a+1/2/b^2*arccoth(b*x+a)*ln(b*x+a-1)-1/b^2*arccoth(b*x+a)*ln(b*x+a+1)*a-1/2/b^2*arccoth(b*x+a)*ln(b*x+a+1)+1/2/b^2*ln(b*x+a-1)+1/2/b^2*ln(b*x+a+1)+1/8/b^2*ln(b*x+a-1)^2-1/4/b^2*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)-1/4/b^2*ln(b*x+a-1)^2*a+1/b^2*dilog(1/2+1/2*b*x+1/2*a)*a+1/2/b^2*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)*a+1/4/b^2*ln(b*x+a+1)^2*a-1/2/b^2*ln(b*x+a+1)*ln(-1/2*b*x-1/2*a+1/2)*a+1/2/b^2*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)*a+1/8/b^2*ln(b*x+a+1)^2-1/4/b^2*ln(-1/2*b*x-1/2*a+1/2)*ln(b*x+a+1)+1/4/b^2*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)","B"
72,1,151,83,0.305000," ","int(arccoth(b*x+a)^2,x)","x \mathrm{arccoth}\left(b x +a \right)^{2}+\frac{\mathrm{arccoth}\left(b x +a \right)^{2} a}{b}+\frac{\mathrm{arccoth}\left(b x +a \right)^{2}}{b}-\frac{2 \,\mathrm{arccoth}\left(b x +a \right) \ln \left(1-\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)}{b}-\frac{2 \,\mathrm{arccoth}\left(b x +a \right) \ln \left(1+\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)}{b}-\frac{2 \polylog \left(2, -\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)}{b}-\frac{2 \polylog \left(2, \frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)}{b}"," ",0,"x*arccoth(b*x+a)^2+1/b*arccoth(b*x+a)^2*a+arccoth(b*x+a)^2/b-2/b*arccoth(b*x+a)*ln(1-1/((b*x+a-1)/(b*x+a+1))^(1/2))-2/b*arccoth(b*x+a)*ln(1+1/((b*x+a-1)/(b*x+a+1))^(1/2))-2/b*polylog(2,-1/((b*x+a-1)/(b*x+a+1))^(1/2))-2/b*polylog(2,1/((b*x+a-1)/(b*x+a+1))^(1/2))","A"
73,1,985,144,1.151000," ","int(arccoth(b*x+a)^2/x,x)","\ln \left(b x \right) \mathrm{arccoth}\left(b x +a \right)^{2}-\mathrm{arccoth}\left(b x +a \right)^{2} \ln \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)+\mathrm{arccoth}\left(b x +a \right)^{2} \ln \left(\frac{b x +a +1}{b x +a -1}-1\right)-\mathrm{arccoth}\left(b x +a \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)-2 \,\mathrm{arccoth}\left(b x +a \right) \polylog \left(2, \frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)+2 \polylog \left(3, \frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)-\mathrm{arccoth}\left(b x +a \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)-2 \,\mathrm{arccoth}\left(b x +a \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)+2 \polylog \left(3, -\frac{1}{\sqrt{\frac{b x +a -1}{b x +a +1}}}\right)-i \pi  \mathrm{arccoth}\left(b x +a \right)^{2}+i \pi  \mathrm{arccoth}\left(b x +a \right)^{2} \mathrm{csgn}\left(\frac{i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)}{\frac{b x +a +1}{b x +a -1}-1}\right)^{2}-\frac{i \pi  \mathrm{arccoth}\left(b x +a \right)^{2} \mathrm{csgn}\left(\frac{i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)}{\frac{b x +a +1}{b x +a -1}-1}\right)^{3}}{2}-\frac{i \pi  \mathrm{arccoth}\left(b x +a \right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{b x +a +1}{b x +a -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)}{\frac{b x +a +1}{b x +a -1}-1}\right)^{2}}{2}+\frac{i \pi  \mathrm{arccoth}\left(b x +a \right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{b x +a +1}{b x +a -1}-1}\right) \mathrm{csgn}\left(i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)}{\frac{b x +a +1}{b x +a -1}-1}\right)}{2}-\frac{i \pi  \mathrm{arccoth}\left(b x +a \right)^{2} \mathrm{csgn}\left(i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)\right) \mathrm{csgn}\left(\frac{i \left(a \left(\frac{b x +a +1}{b x +a -1}-1\right)-\frac{b x +a +1}{b x +a -1}-1\right)}{\frac{b x +a +1}{b x +a -1}-1}\right)^{2}}{2}+\frac{a \mathrm{arccoth}\left(b x +a \right)^{2} \ln \left(1-\frac{\left(a -1\right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(1+a \right)}\right)}{a -1}+\frac{a \,\mathrm{arccoth}\left(b x +a \right) \polylog \left(2, \frac{\left(a -1\right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(1+a \right)}\right)}{a -1}-\frac{a \polylog \left(3, \frac{\left(a -1\right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(1+a \right)}\right)}{2 \left(a -1\right)}-\frac{\mathrm{arccoth}\left(b x +a \right)^{2} \ln \left(1-\frac{\left(a -1\right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(1+a \right)}\right)}{a -1}-\frac{\mathrm{arccoth}\left(b x +a \right) \polylog \left(2, \frac{\left(a -1\right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(1+a \right)}\right)}{a -1}+\frac{\polylog \left(3, \frac{\left(a -1\right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(1+a \right)}\right)}{2 a -2}"," ",0,"ln(b*x)*arccoth(b*x+a)^2-arccoth(b*x+a)^2*ln(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1)+arccoth(b*x+a)^2*ln((b*x+a+1)/(b*x+a-1)-1)-arccoth(b*x+a)^2*ln(1-1/((b*x+a-1)/(b*x+a+1))^(1/2))-2*arccoth(b*x+a)*polylog(2,1/((b*x+a-1)/(b*x+a+1))^(1/2))+2*polylog(3,1/((b*x+a-1)/(b*x+a+1))^(1/2))-arccoth(b*x+a)^2*ln(1+1/((b*x+a-1)/(b*x+a+1))^(1/2))-2*arccoth(b*x+a)*polylog(2,-1/((b*x+a-1)/(b*x+a+1))^(1/2))+2*polylog(3,-1/((b*x+a-1)/(b*x+a+1))^(1/2))-I*Pi*arccoth(b*x+a)^2+I*Pi*arccoth(b*x+a)^2*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1)/((b*x+a+1)/(b*x+a-1)-1))^2-1/2*I*Pi*arccoth(b*x+a)^2*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1)/((b*x+a+1)/(b*x+a-1)-1))^3-1/2*I*Pi*arccoth(b*x+a)^2*csgn(I/((b*x+a+1)/(b*x+a-1)-1))*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1)/((b*x+a+1)/(b*x+a-1)-1))^2+1/2*I*Pi*arccoth(b*x+a)^2*csgn(I/((b*x+a+1)/(b*x+a-1)-1))*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1))*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1)/((b*x+a+1)/(b*x+a-1)-1))-1/2*I*Pi*arccoth(b*x+a)^2*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1))*csgn(I*(a*((b*x+a+1)/(b*x+a-1)-1)-(b*x+a+1)/(b*x+a-1)-1)/((b*x+a+1)/(b*x+a-1)-1))^2+a/(a-1)*arccoth(b*x+a)^2*ln(1-(a-1)*(b*x+a+1)/(b*x+a-1)/(1+a))+a/(a-1)*arccoth(b*x+a)*polylog(2,(a-1)*(b*x+a+1)/(b*x+a-1)/(1+a))-1/2*a/(a-1)*polylog(3,(a-1)*(b*x+a+1)/(b*x+a-1)/(1+a))-1/(a-1)*arccoth(b*x+a)^2*ln(1-(a-1)*(b*x+a+1)/(b*x+a-1)/(1+a))-1/(a-1)*arccoth(b*x+a)*polylog(2,(a-1)*(b*x+a+1)/(b*x+a-1)/(1+a))+1/2/(a-1)*polylog(3,(a-1)*(b*x+a+1)/(b*x+a-1)/(1+a))","C"
74,1,342,249,0.073000," ","int(arccoth(b*x+a)^2/x^2,x)","-\frac{\mathrm{arccoth}\left(b x +a \right)^{2}}{x}+\frac{2 b \,\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right)}{2 a -2}-\frac{2 b \,\mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right)}{2+2 a}-\frac{2 b \,\mathrm{arccoth}\left(b x +a \right) \ln \left(b x \right)}{\left(a -1\right) \left(1+a \right)}+\frac{b \dilog \left(\frac{b x +a +1}{1+a}\right)}{\left(a -1\right) \left(1+a \right)}+\frac{b \ln \left(b x \right) \ln \left(\frac{b x +a +1}{1+a}\right)}{\left(a -1\right) \left(1+a \right)}-\frac{b \dilog \left(\frac{b x +a -1}{a -1}\right)}{\left(a -1\right) \left(1+a \right)}-\frac{b \ln \left(b x \right) \ln \left(\frac{b x +a -1}{a -1}\right)}{\left(a -1\right) \left(1+a \right)}+\frac{b \ln \left(b x +a +1\right)^{2}}{4+4 a}+\frac{b \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{2+2 a}-\frac{b \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(b x +a +1\right)}{2 \left(1+a \right)}+\frac{b \dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{2+2 a}+\frac{b \ln \left(b x +a -1\right)^{2}}{4 a -4}-\frac{b \dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{2 \left(a -1\right)}-\frac{b \ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{2 \left(a -1\right)}"," ",0,"-arccoth(b*x+a)^2/x+2*b*arccoth(b*x+a)/(2*a-2)*ln(b*x+a-1)-2*b*arccoth(b*x+a)/(2+2*a)*ln(b*x+a+1)-2*b*arccoth(b*x+a)/(a-1)/(1+a)*ln(b*x)+b/(a-1)/(1+a)*dilog((b*x+a+1)/(1+a))+b/(a-1)/(1+a)*ln(b*x)*ln((b*x+a+1)/(1+a))-b/(a-1)/(1+a)*dilog((b*x+a-1)/(a-1))-b/(a-1)/(1+a)*ln(b*x)*ln((b*x+a-1)/(a-1))+1/4*b/(1+a)*ln(b*x+a+1)^2+1/2*b/(1+a)*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)-1/2*b/(1+a)*ln(-1/2*b*x-1/2*a+1/2)*ln(b*x+a+1)+1/2*b/(1+a)*dilog(1/2+1/2*b*x+1/2*a)+1/4*b/(a-1)*ln(b*x+a-1)^2-1/2*b/(a-1)*dilog(1/2+1/2*b*x+1/2*a)-1/2*b/(a-1)*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)","A"
75,1,467,358,0.076000," ","int(arccoth(b*x+a)^2/x^3,x)","-\frac{\mathrm{arccoth}\left(b x +a \right)^{2}}{2 x^{2}}-\frac{b^{2} \mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a -1\right)}{2 \left(a -1\right)^{2}}+\frac{b^{2} \mathrm{arccoth}\left(b x +a \right) \ln \left(b x +a +1\right)}{2 \left(1+a \right)^{2}}+\frac{b \,\mathrm{arccoth}\left(b x +a \right)}{\left(a -1\right) \left(1+a \right) x}+\frac{2 b^{2} \mathrm{arccoth}\left(b x +a \right) a \ln \left(b x \right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}-\frac{b^{2} \ln \left(b x +a -1\right)^{2}}{8 \left(a -1\right)^{2}}+\frac{b^{2} \dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{4 \left(a -1\right)^{2}}+\frac{b^{2} \ln \left(b x +a -1\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{4 \left(a -1\right)^{2}}-\frac{b^{2} \ln \left(b x +a +1\right)^{2}}{8 \left(1+a \right)^{2}}-\frac{b^{2} \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{4 \left(1+a \right)^{2}}+\frac{b^{2} \ln \left(-\frac{b x}{2}-\frac{a}{2}+\frac{1}{2}\right) \ln \left(b x +a +1\right)}{4 \left(1+a \right)^{2}}-\frac{b^{2} \dilog \left(\frac{1}{2}+\frac{b x}{2}+\frac{a}{2}\right)}{4 \left(1+a \right)^{2}}-\frac{b^{2} \ln \left(b x +a -1\right)}{\left(a -1\right) \left(1+a \right) \left(2 a -2\right)}+\frac{b^{2} \ln \left(b x +a +1\right)}{\left(a -1\right) \left(1+a \right) \left(2+2 a \right)}+\frac{b^{2} \ln \left(b x \right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}-\frac{b^{2} a \dilog \left(\frac{b x +a +1}{1+a}\right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}-\frac{b^{2} a \ln \left(b x \right) \ln \left(\frac{b x +a +1}{1+a}\right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}+\frac{b^{2} a \dilog \left(\frac{b x +a -1}{a -1}\right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}+\frac{b^{2} a \ln \left(b x \right) \ln \left(\frac{b x +a -1}{a -1}\right)}{\left(a -1\right)^{2} \left(1+a \right)^{2}}"," ",0,"-1/2*arccoth(b*x+a)^2/x^2-1/2*b^2*arccoth(b*x+a)/(a-1)^2*ln(b*x+a-1)+1/2*b^2*arccoth(b*x+a)/(1+a)^2*ln(b*x+a+1)+b*arccoth(b*x+a)/(a-1)/(1+a)/x+2*b^2*arccoth(b*x+a)*a/(a-1)^2/(1+a)^2*ln(b*x)-1/8*b^2/(a-1)^2*ln(b*x+a-1)^2+1/4*b^2/(a-1)^2*dilog(1/2+1/2*b*x+1/2*a)+1/4*b^2/(a-1)^2*ln(b*x+a-1)*ln(1/2+1/2*b*x+1/2*a)-1/8*b^2/(1+a)^2*ln(b*x+a+1)^2-1/4*b^2/(1+a)^2*ln(-1/2*b*x-1/2*a+1/2)*ln(1/2+1/2*b*x+1/2*a)+1/4*b^2/(1+a)^2*ln(-1/2*b*x-1/2*a+1/2)*ln(b*x+a+1)-1/4*b^2/(1+a)^2*dilog(1/2+1/2*b*x+1/2*a)-b^2/(a-1)/(1+a)/(2*a-2)*ln(b*x+a-1)+b^2/(a-1)/(1+a)/(2+2*a)*ln(b*x+a+1)+b^2/(a-1)^2/(1+a)^2*ln(b*x)-b^2*a/(a-1)^2/(1+a)^2*dilog((b*x+a+1)/(1+a))-b^2*a/(a-1)^2/(1+a)^2*ln(b*x)*ln((b*x+a+1)/(1+a))+b^2*a/(a-1)^2/(1+a)^2*dilog((b*x+a-1)/(a-1))+b^2*a/(a-1)^2/(1+a)^2*ln(b*x)*ln((b*x+a-1)/(a-1))","A"
76,1,1230,585,0.753000," ","int(arccoth(b*x+a)/(d*x^2+c),x)","-\frac{\sqrt{-b^{2} c d}\, \ln \left(1-\frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(b x +a \right) a^{2}}{2 b c \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}-\frac{b \sqrt{-b^{2} c d}\, \ln \left(1-\frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(b x +a \right)}{2 d \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}+\frac{\sqrt{-b^{2} c d}\, \mathrm{arccoth}\left(b x +a \right)^{2} a^{2}}{2 b c \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}+\frac{b \sqrt{-b^{2} c d}\, \mathrm{arccoth}\left(b x +a \right)^{2}}{2 d \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}-\frac{\sqrt{-b^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right) a^{2}}{4 b c \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}-\frac{b \sqrt{-b^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right)}{4 d \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}-\frac{b \ln \left(1-\frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(b x +a \right)}{a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d}+\frac{b \mathrm{arccoth}\left(b x +a \right)^{2}}{a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d}+\frac{\sqrt{-b^{2} c d}\, \ln \left(1-\frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right) \mathrm{arccoth}\left(b x +a \right)}{2 b c \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}-\frac{\sqrt{-b^{2} c d}\, \mathrm{arccoth}\left(b x +a \right)^{2}}{2 b c \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}-\frac{b \polylog \left(2, \frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right)}{2 \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}+\frac{\sqrt{-b^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}\right)}{4 b c \left(a^{2} d +b^{2} c -2 \sqrt{-b^{2} c d}-d \right)}+\frac{\sqrt{-b^{2} c d}\, \mathrm{arccoth}\left(b x +a \right) \ln \left(1-\frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c +2 \sqrt{-b^{2} c d}-d \right)}\right)}{2 b c d}-\frac{\sqrt{-b^{2} c d}\, \mathrm{arccoth}\left(b x +a \right)^{2}}{2 b c d}+\frac{\sqrt{-b^{2} c d}\, \polylog \left(2, \frac{\left(a^{2} d +b^{2} c -2 a d +d \right) \left(b x +a +1\right)}{\left(b x +a -1\right) \left(a^{2} d +b^{2} c +2 \sqrt{-b^{2} c d}-d \right)}\right)}{4 b c d}"," ",0,"-1/2/b*(-b^2*c*d)^(1/2)/c*ln(1-(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))*arccoth(b*x+a)*a^2/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)-1/2*b*(-b^2*c*d)^(1/2)/d*ln(1-(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))*arccoth(b*x+a)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)+1/2/b*(-b^2*c*d)^(1/2)/c*arccoth(b*x+a)^2*a^2/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)+1/2*b*(-b^2*c*d)^(1/2)/d*arccoth(b*x+a)^2/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)-1/4/b*(-b^2*c*d)^(1/2)/c*polylog(2,(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))*a^2/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)-1/4*b*(-b^2*c*d)^(1/2)/d*polylog(2,(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)-b/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)*ln(1-(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))*arccoth(b*x+a)+b/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)*arccoth(b*x+a)^2+1/2/b*(-b^2*c*d)^(1/2)/c*ln(1-(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))*arccoth(b*x+a)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)-1/2/b*(-b^2*c*d)^(1/2)/c*arccoth(b*x+a)^2/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)-1/2*b/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)*polylog(2,(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))+1/4/b*(-b^2*c*d)^(1/2)/c*polylog(2,(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d))/(a^2*d+b^2*c-2*(-b^2*c*d)^(1/2)-d)+1/2/b*(-b^2*c*d)^(1/2)/c/d*arccoth(b*x+a)*ln(1-(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c+2*(-b^2*c*d)^(1/2)-d))-1/2/b*(-b^2*c*d)^(1/2)/c/d*arccoth(b*x+a)^2+1/4/b*(-b^2*c*d)^(1/2)/c/d*polylog(2,(a^2*d+b^2*c-2*a*d+d)*(b*x+a+1)/(b*x+a-1)/(a^2*d+b^2*c+2*(-b^2*c*d)^(1/2)-d))","B"
77,1,176,116,0.084000," ","int(arccoth(b*x+a)/(d*x+c),x)","\frac{\ln \left(d \left(b x +a \right)-a d +b c \right) \mathrm{arccoth}\left(b x +a \right)}{d}+\frac{\ln \left(d \left(b x +a \right)-a d +b c \right) \ln \left(\frac{d \left(b x +a \right)-d}{a d -b c -d}\right)}{2 d}+\frac{\dilog \left(\frac{d \left(b x +a \right)-d}{a d -b c -d}\right)}{2 d}-\frac{\ln \left(\frac{d \left(b x +a \right)+d}{a d -b c +d}\right) \ln \left(d \left(b x +a \right)-a d +b c \right)}{2 d}-\frac{\dilog \left(\frac{d \left(b x +a \right)+d}{a d -b c +d}\right)}{2 d}"," ",0,"ln(d*(b*x+a)-a*d+b*c)/d*arccoth(b*x+a)+1/2/d*ln(d*(b*x+a)-a*d+b*c)*ln((d*(b*x+a)-d)/(a*d-b*c-d))+1/2/d*dilog((d*(b*x+a)-d)/(a*d-b*c-d))-1/2/d*ln((d*(b*x+a)+d)/(a*d-b*c+d))*ln(d*(b*x+a)-a*d+b*c)-1/2/d*dilog((d*(b*x+a)+d)/(a*d-b*c+d))","A"
78,1,297,264,0.088000," ","int(arccoth(b*x+a)/(c+d/x),x)","\frac{\mathrm{arccoth}\left(b x +a \right) x}{c}+\frac{\mathrm{arccoth}\left(b x +a \right) a}{b c}-\frac{\mathrm{arccoth}\left(b x +a \right) d \ln \left(c \left(b x +a \right)-a c +b d \right)}{c^{2}}+\frac{\ln \left(a^{2} c^{2}-2 a b c d +b^{2} d^{2}+2 \left(c \left(b x +a \right)-a c +b d \right) a c -2 \left(c \left(b x +a \right)-a c +b d \right) b d +\left(c \left(b x +a \right)-a c +b d \right)^{2}-c^{2}\right)}{2 b c}-\frac{d \ln \left(c \left(b x +a \right)-a c +b d \right) \ln \left(\frac{c \left(b x +a \right)-c}{a c -b d -c}\right)}{2 c^{2}}-\frac{d \dilog \left(\frac{c \left(b x +a \right)-c}{a c -b d -c}\right)}{2 c^{2}}+\frac{d \ln \left(c \left(b x +a \right)-a c +b d \right) \ln \left(\frac{c \left(b x +a \right)+c}{a c -b d +c}\right)}{2 c^{2}}+\frac{d \dilog \left(\frac{c \left(b x +a \right)+c}{a c -b d +c}\right)}{2 c^{2}}"," ",0,"arccoth(b*x+a)/c*x+1/b*arccoth(b*x+a)/c*a-arccoth(b*x+a)*d/c^2*ln(c*(b*x+a)-a*c+b*d)+1/2/b/c*ln(a^2*c^2-2*a*b*c*d+b^2*d^2+2*(c*(b*x+a)-a*c+b*d)*a*c-2*(c*(b*x+a)-a*c+b*d)*b*d+(c*(b*x+a)-a*c+b*d)^2-c^2)-1/2/c^2*d*ln(c*(b*x+a)-a*c+b*d)*ln((c*(b*x+a)-c)/(a*c-b*d-c))-1/2/c^2*d*dilog((c*(b*x+a)-c)/(a*c-b*d-c))+1/2/c^2*d*ln(c*(b*x+a)-a*c+b*d)*ln((c*(b*x+a)+c)/(a*c-b*d+c))+1/2/c^2*d*dilog((c*(b*x+a)+c)/(a*c-b*d+c))","A"
79,1,19686,598,1.877000," ","int(arccoth(b*x+a)/(c+d/x^2),x)","\text{output too large to display}"," ",0,"result too large to display","C"
80,1,738,503,0.128000," ","int(arccoth(b*x+a)/(c+d*x^(1/2)),x)","\frac{2 \,\mathrm{arccoth}\left(b x +a \right) \sqrt{x}}{d}-\frac{2 \,\mathrm{arccoth}\left(b x +a \right) c \ln \left(c +d \sqrt{x}\right)}{d^{2}}+\frac{2 \arctan \left(\frac{2 b \left(c +d \sqrt{x}\right)-2 b c}{2 \sqrt{a \,d^{2} b +b \,d^{2}}}\right)}{\sqrt{a \,d^{2} b +b \,d^{2}}}+\frac{2 \arctan \left(\frac{2 b \left(c +d \sqrt{x}\right)-2 b c}{2 \sqrt{a \,d^{2} b +b \,d^{2}}}\right) a}{\sqrt{a \,d^{2} b +b \,d^{2}}}+\frac{2 \arctan \left(\frac{2 b \left(c +d \sqrt{x}\right)-2 b c}{2 \sqrt{a \,d^{2} b -b \,d^{2}}}\right)}{\sqrt{a \,d^{2} b -b \,d^{2}}}-\frac{2 \arctan \left(\frac{2 b \left(c +d \sqrt{x}\right)-2 b c}{2 \sqrt{a \,d^{2} b -b \,d^{2}}}\right) a}{\sqrt{a \,d^{2} b -b \,d^{2}}}+\frac{c \ln \left(c +d \sqrt{x}\right) \ln \left(\frac{-b \left(c +d \sqrt{x}\right)+b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}{b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}\right)}{d^{2}}+\frac{c \ln \left(c +d \sqrt{x}\right) \ln \left(\frac{b \left(c +d \sqrt{x}\right)-b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}{-b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}\right)}{d^{2}}+\frac{c \dilog \left(\frac{-b \left(c +d \sqrt{x}\right)+b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}{b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}\right)}{d^{2}}+\frac{c \dilog \left(\frac{b \left(c +d \sqrt{x}\right)-b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}{-b c +\sqrt{-a \,d^{2} b -b \,d^{2}}}\right)}{d^{2}}-\frac{c \ln \left(c +d \sqrt{x}\right) \ln \left(\frac{-b \left(c +d \sqrt{x}\right)+b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}{b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}\right)}{d^{2}}-\frac{c \ln \left(c +d \sqrt{x}\right) \ln \left(\frac{b \left(c +d \sqrt{x}\right)-b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}{-b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}\right)}{d^{2}}-\frac{c \dilog \left(\frac{-b \left(c +d \sqrt{x}\right)+b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}{b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}\right)}{d^{2}}-\frac{c \dilog \left(\frac{b \left(c +d \sqrt{x}\right)-b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}{-b c +\sqrt{-a \,d^{2} b +b \,d^{2}}}\right)}{d^{2}}"," ",0,"2*arccoth(b*x+a)*x^(1/2)/d-2*arccoth(b*x+a)*c/d^2*ln(c+d*x^(1/2))+2/(a*b*d^2+b*d^2)^(1/2)*arctan(1/2*(2*b*(c+d*x^(1/2))-2*b*c)/(a*b*d^2+b*d^2)^(1/2))+2/(a*b*d^2+b*d^2)^(1/2)*arctan(1/2*(2*b*(c+d*x^(1/2))-2*b*c)/(a*b*d^2+b*d^2)^(1/2))*a+2/(a*b*d^2-b*d^2)^(1/2)*arctan(1/2*(2*b*(c+d*x^(1/2))-2*b*c)/(a*b*d^2-b*d^2)^(1/2))-2/(a*b*d^2-b*d^2)^(1/2)*arctan(1/2*(2*b*(c+d*x^(1/2))-2*b*c)/(a*b*d^2-b*d^2)^(1/2))*a+1/d^2*c*ln(c+d*x^(1/2))*ln((-b*(c+d*x^(1/2))+b*c+(-a*b*d^2-b*d^2)^(1/2))/(b*c+(-a*b*d^2-b*d^2)^(1/2)))+1/d^2*c*ln(c+d*x^(1/2))*ln((b*(c+d*x^(1/2))-b*c+(-a*b*d^2-b*d^2)^(1/2))/(-b*c+(-a*b*d^2-b*d^2)^(1/2)))+1/d^2*c*dilog((-b*(c+d*x^(1/2))+b*c+(-a*b*d^2-b*d^2)^(1/2))/(b*c+(-a*b*d^2-b*d^2)^(1/2)))+1/d^2*c*dilog((b*(c+d*x^(1/2))-b*c+(-a*b*d^2-b*d^2)^(1/2))/(-b*c+(-a*b*d^2-b*d^2)^(1/2)))-1/d^2*c*ln(c+d*x^(1/2))*ln((-b*(c+d*x^(1/2))+b*c+(-a*b*d^2+b*d^2)^(1/2))/(b*c+(-a*b*d^2+b*d^2)^(1/2)))-1/d^2*c*ln(c+d*x^(1/2))*ln((b*(c+d*x^(1/2))-b*c+(-a*b*d^2+b*d^2)^(1/2))/(-b*c+(-a*b*d^2+b*d^2)^(1/2)))-1/d^2*c*dilog((-b*(c+d*x^(1/2))+b*c+(-a*b*d^2+b*d^2)^(1/2))/(b*c+(-a*b*d^2+b*d^2)^(1/2)))-1/d^2*c*dilog((b*(c+d*x^(1/2))-b*c+(-a*b*d^2+b*d^2)^(1/2))/(-b*c+(-a*b*d^2+b*d^2)^(1/2)))","A"
81,1,970,610,0.118000," ","int(arccoth(b*x+a)/(c+d/x^(1/2)),x)","\frac{\mathrm{arccoth}\left(b x +a \right) x}{c}-\frac{2 \,\mathrm{arccoth}\left(b x +a \right) d \sqrt{x}}{c^{2}}+\frac{2 \,\mathrm{arccoth}\left(b x +a \right) d^{2} \ln \left(d +c \sqrt{x}\right)}{c^{3}}-\frac{d^{2} \ln \left(d +c \sqrt{x}\right) \ln \left(\frac{-b \left(d +c \sqrt{x}\right)+b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}{b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}\right)}{c^{3}}-\frac{d^{2} \ln \left(d +c \sqrt{x}\right) \ln \left(\frac{b \left(d +c \sqrt{x}\right)-b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}{-b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}\right)}{c^{3}}-\frac{d^{2} \dilog \left(\frac{-b \left(d +c \sqrt{x}\right)+b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}{b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}\right)}{c^{3}}-\frac{d^{2} \dilog \left(\frac{b \left(d +c \sqrt{x}\right)-b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}{-b d +\sqrt{-a b \,c^{2}-b \,c^{2}}}\right)}{c^{3}}+\frac{d^{2} \ln \left(d +c \sqrt{x}\right) \ln \left(\frac{-b \left(d +c \sqrt{x}\right)+b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}{b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}\right)}{c^{3}}+\frac{d^{2} \ln \left(d +c \sqrt{x}\right) \ln \left(\frac{b \left(d +c \sqrt{x}\right)-b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}{-b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}\right)}{c^{3}}+\frac{d^{2} \dilog \left(\frac{-b \left(d +c \sqrt{x}\right)+b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}{b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}\right)}{c^{3}}+\frac{d^{2} \dilog \left(\frac{b \left(d +c \sqrt{x}\right)-b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}{-b d +\sqrt{-a b \,c^{2}+b \,c^{2}}}\right)}{c^{3}}+\frac{\ln \left(b \left(d +c \sqrt{x}\right)^{2}-2 \left(d +c \sqrt{x}\right) b d +a \,c^{2}+b \,d^{2}+c^{2}\right)}{2 b c}-\frac{2 d \arctan \left(\frac{2 b \left(d +c \sqrt{x}\right)-2 b d}{2 \sqrt{a b \,c^{2}+b \,c^{2}}}\right)}{c \sqrt{a b \,c^{2}+b \,c^{2}}}+\frac{a \ln \left(b \left(d +c \sqrt{x}\right)^{2}-2 \left(d +c \sqrt{x}\right) b d +a \,c^{2}+b \,d^{2}+c^{2}\right)}{2 b c}-\frac{2 a d \arctan \left(\frac{2 b \left(d +c \sqrt{x}\right)-2 b d}{2 \sqrt{a b \,c^{2}+b \,c^{2}}}\right)}{c \sqrt{a b \,c^{2}+b \,c^{2}}}-\frac{a \ln \left(b \left(d +c \sqrt{x}\right)^{2}-2 \left(d +c \sqrt{x}\right) b d +a \,c^{2}+b \,d^{2}-c^{2}\right)}{2 b c}+\frac{2 a d \arctan \left(\frac{2 b \left(d +c \sqrt{x}\right)-2 b d}{2 \sqrt{a b \,c^{2}-b \,c^{2}}}\right)}{c \sqrt{a b \,c^{2}-b \,c^{2}}}+\frac{\ln \left(b \left(d +c \sqrt{x}\right)^{2}-2 \left(d +c \sqrt{x}\right) b d +a \,c^{2}+b \,d^{2}-c^{2}\right)}{2 b c}-\frac{2 d \arctan \left(\frac{2 b \left(d +c \sqrt{x}\right)-2 b d}{2 \sqrt{a b \,c^{2}-b \,c^{2}}}\right)}{c \sqrt{a b \,c^{2}-b \,c^{2}}}"," ",0,"arccoth(b*x+a)/c*x-2*arccoth(b*x+a)/c^2*d*x^(1/2)+2*arccoth(b*x+a)*d^2/c^3*ln(d+c*x^(1/2))-1/c^3*d^2*ln(d+c*x^(1/2))*ln((-b*(d+c*x^(1/2))+b*d+(-a*b*c^2-b*c^2)^(1/2))/(b*d+(-a*b*c^2-b*c^2)^(1/2)))-1/c^3*d^2*ln(d+c*x^(1/2))*ln((b*(d+c*x^(1/2))-b*d+(-a*b*c^2-b*c^2)^(1/2))/(-b*d+(-a*b*c^2-b*c^2)^(1/2)))-1/c^3*d^2*dilog((-b*(d+c*x^(1/2))+b*d+(-a*b*c^2-b*c^2)^(1/2))/(b*d+(-a*b*c^2-b*c^2)^(1/2)))-1/c^3*d^2*dilog((b*(d+c*x^(1/2))-b*d+(-a*b*c^2-b*c^2)^(1/2))/(-b*d+(-a*b*c^2-b*c^2)^(1/2)))+1/c^3*d^2*ln(d+c*x^(1/2))*ln((-b*(d+c*x^(1/2))+b*d+(-a*b*c^2+b*c^2)^(1/2))/(b*d+(-a*b*c^2+b*c^2)^(1/2)))+1/c^3*d^2*ln(d+c*x^(1/2))*ln((b*(d+c*x^(1/2))-b*d+(-a*b*c^2+b*c^2)^(1/2))/(-b*d+(-a*b*c^2+b*c^2)^(1/2)))+1/c^3*d^2*dilog((-b*(d+c*x^(1/2))+b*d+(-a*b*c^2+b*c^2)^(1/2))/(b*d+(-a*b*c^2+b*c^2)^(1/2)))+1/c^3*d^2*dilog((b*(d+c*x^(1/2))-b*d+(-a*b*c^2+b*c^2)^(1/2))/(-b*d+(-a*b*c^2+b*c^2)^(1/2)))+1/2/b/c*ln(b*(d+c*x^(1/2))^2-2*(d+c*x^(1/2))*b*d+a*c^2+b*d^2+c^2)-2/c*d/(a*b*c^2+b*c^2)^(1/2)*arctan(1/2*(2*b*(d+c*x^(1/2))-2*b*d)/(a*b*c^2+b*c^2)^(1/2))+1/2/b/c*a*ln(b*(d+c*x^(1/2))^2-2*(d+c*x^(1/2))*b*d+a*c^2+b*d^2+c^2)-2/c*a*d/(a*b*c^2+b*c^2)^(1/2)*arctan(1/2*(2*b*(d+c*x^(1/2))-2*b*d)/(a*b*c^2+b*c^2)^(1/2))-1/2/b/c*a*ln(b*(d+c*x^(1/2))^2-2*(d+c*x^(1/2))*b*d+a*c^2+b*d^2-c^2)+2/c*a*d/(a*b*c^2-b*c^2)^(1/2)*arctan(1/2*(2*b*(d+c*x^(1/2))-2*b*d)/(a*b*c^2-b*c^2)^(1/2))+1/2/b/c*ln(b*(d+c*x^(1/2))^2-2*(d+c*x^(1/2))*b*d+a*c^2+b*d^2-c^2)-2/c*d/(a*b*c^2-b*c^2)^(1/2)*arctan(1/2*(2*b*(d+c*x^(1/2))-2*b*d)/(a*b*c^2-b*c^2)^(1/2))","A"
82,1,2098,307,1.113000," ","int(arccoth(e*x+d)/(c*x^2+b*x+a),x)","-\frac{e \sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \ln \left(1-\frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) \mathrm{arccoth}\left(e x +d \right) a}{\left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \ln \left(1-\frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) \mathrm{arccoth}\left(e x +d \right) b d}{\left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}-\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \ln \left(1-\frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) \mathrm{arccoth}\left(e x +d \right) c \,d^{2}}{e \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{e \sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \mathrm{arccoth}\left(e x +d \right)^{2} a}{\left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}-\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \mathrm{arccoth}\left(e x +d \right)^{2} b d}{\left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \mathrm{arccoth}\left(e x +d \right)^{2} c \,d^{2}}{e \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}-\frac{e \sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \polylog \left(2, \frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) a}{2 \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \polylog \left(2, \frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) b d}{2 \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}-\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \polylog \left(2, \frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) c \,d^{2}}{2 e \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}-\frac{e \ln \left(1-\frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) \mathrm{arccoth}\left(e x +d \right)}{a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \ln \left(1-\frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) \mathrm{arccoth}\left(e x +d \right) c}{e \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{e \mathrm{arccoth}\left(e x +d \right)^{2}}{a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c}-\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \mathrm{arccoth}\left(e x +d \right)^{2} c}{e \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}-\frac{e \polylog \left(2, \frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right)}{2 \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \polylog \left(2, \frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right) c}{2 e \left(4 a c -b^{2}\right) \left(a \,e^{2}-b e d +c \,d^{2}-\sqrt{e^{2} \left(-4 a c +b^{2}\right)}-c \right)}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \mathrm{arccoth}\left(e x +d \right) \ln \left(1-\frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}+\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right)}{e \left(4 a c -b^{2}\right)}-\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \mathrm{arccoth}\left(e x +d \right)^{2}}{e \left(4 a c -b^{2}\right)}+\frac{\sqrt{e^{2} \left(-4 a c +b^{2}\right)}\, \polylog \left(2, \frac{\left(a \,e^{2}-b e d +c \,d^{2}+b e -2 c d +c \right) \left(e x +d +1\right)}{\left(e x +d -1\right) \left(a \,e^{2}-b e d +c \,d^{2}+\sqrt{-e^{2} \left(4 a c -b^{2}\right)}-c \right)}\right)}{2 e \left(4 a c -b^{2}\right)}"," ",0,"-e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*ln(1-(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*arccoth(e*x+d)*a/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)+(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*ln(1-(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*arccoth(e*x+d)*b*d/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)-1/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*ln(1-(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*arccoth(e*x+d)*c*d^2/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)+e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*arccoth(e*x+d)^2*a/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)-(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*arccoth(e*x+d)^2*b*d/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)+1/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*arccoth(e*x+d)^2*c*d^2/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)-1/2*e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*polylog(2,(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*a/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)+1/2*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*polylog(2,(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*b*d/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)-1/2/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*polylog(2,(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*c*d^2/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)-e/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)*ln(1-(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*arccoth(e*x+d)+1/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*ln(1-(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*arccoth(e*x+d)*c/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)+e/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)*arccoth(e*x+d)^2-1/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*arccoth(e*x+d)^2*c/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)-1/2*e/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)*polylog(2,(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))+1/2/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*polylog(2,(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2-(-e^2*(4*a*c-b^2))^(1/2)-c))*c/(a*e^2-b*e*d+c*d^2-(e^2*(-4*a*c+b^2))^(1/2)-c)+1/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*arccoth(e*x+d)*ln(1-(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2+(-e^2*(4*a*c-b^2))^(1/2)-c))-1/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*arccoth(e*x+d)^2+1/2/e*(e^2*(-4*a*c+b^2))^(1/2)/(4*a*c-b^2)*polylog(2,(a*e^2-b*d*e+c*d^2+b*e-2*c*d+c)*(e*x+d+1)/(e*x+d-1)/(a*e^2-b*e*d+c*d^2+(-e^2*(4*a*c-b^2))^(1/2)-c))","B"
83,1,42,31,0.045000," ","int(x^2*arccoth(x^(1/2)),x)","\frac{x^{3} \mathrm{arccoth}\left(\sqrt{x}\right)}{3}+\frac{x^{\frac{5}{2}}}{15}+\frac{x^{\frac{3}{2}}}{9}+\frac{\sqrt{x}}{3}+\frac{\ln \left(-1+\sqrt{x}\right)}{6}-\frac{\ln \left(1+\sqrt{x}\right)}{6}"," ",0,"1/3*x^3*arccoth(x^(1/2))+1/15*x^(5/2)+1/9*x^(3/2)+1/3*x^(1/2)+1/6*ln(-1+x^(1/2))-1/6*ln(1+x^(1/2))","A"
84,1,37,26,0.046000," ","int(x*arccoth(x^(1/2)),x)","\frac{x^{2} \mathrm{arccoth}\left(\sqrt{x}\right)}{2}+\frac{x^{\frac{3}{2}}}{6}+\frac{\sqrt{x}}{2}+\frac{\ln \left(-1+\sqrt{x}\right)}{4}-\frac{\ln \left(1+\sqrt{x}\right)}{4}"," ",0,"1/2*x^2*arccoth(x^(1/2))+1/6*x^(3/2)+1/2*x^(1/2)+1/4*ln(-1+x^(1/2))-1/4*ln(1+x^(1/2))","A"
85,1,27,16,0.046000," ","int(arccoth(x^(1/2)),x)","x \,\mathrm{arccoth}\left(\sqrt{x}\right)+\sqrt{x}+\frac{\ln \left(-1+\sqrt{x}\right)}{2}-\frac{\ln \left(1+\sqrt{x}\right)}{2}"," ",0,"x*arccoth(x^(1/2))+x^(1/2)+1/2*ln(-1+x^(1/2))-1/2*ln(1+x^(1/2))","A"
86,1,33,15,0.063000," ","int(arccoth(x^(1/2))/x,x)","\ln \left(x \right) \mathrm{arccoth}\left(\sqrt{x}\right)-\dilog \left(\sqrt{x}\right)-\dilog \left(1+\sqrt{x}\right)-\frac{\ln \left(x \right) \ln \left(1+\sqrt{x}\right)}{2}"," ",0,"ln(x)*arccoth(x^(1/2))-dilog(x^(1/2))-dilog(1+x^(1/2))-1/2*ln(x)*ln(1+x^(1/2))","B"
87,1,32,19,0.051000," ","int(arccoth(x^(1/2))/x^2,x)","-\frac{\mathrm{arccoth}\left(\sqrt{x}\right)}{x}-\frac{1}{\sqrt{x}}-\frac{\ln \left(-1+\sqrt{x}\right)}{2}+\frac{\ln \left(1+\sqrt{x}\right)}{2}"," ",0,"-arccoth(x^(1/2))/x-1/x^(1/2)-1/2*ln(-1+x^(1/2))+1/2*ln(1+x^(1/2))","A"
88,1,37,26,0.053000," ","int(arccoth(x^(1/2))/x^3,x)","-\frac{\mathrm{arccoth}\left(\sqrt{x}\right)}{2 x^{2}}-\frac{1}{6 x^{\frac{3}{2}}}-\frac{1}{2 \sqrt{x}}-\frac{\ln \left(-1+\sqrt{x}\right)}{4}+\frac{\ln \left(1+\sqrt{x}\right)}{4}"," ",0,"-1/2*arccoth(x^(1/2))/x^2-1/6/x^(3/2)-1/2/x^(1/2)-1/4*ln(-1+x^(1/2))+1/4*ln(1+x^(1/2))","A"
89,1,35,26,0.046000," ","int(x^(3/2)*arccoth(x^(1/2)),x)","\frac{2 x^{\frac{5}{2}} \mathrm{arccoth}\left(\sqrt{x}\right)}{5}+\frac{x^{2}}{10}+\frac{x}{5}+\frac{\ln \left(-1+\sqrt{x}\right)}{5}+\frac{\ln \left(1+\sqrt{x}\right)}{5}"," ",0,"2/5*x^(5/2)*arccoth(x^(1/2))+1/10*x^2+1/5*x+1/5*ln(-1+x^(1/2))+1/5*ln(1+x^(1/2))","A"
90,1,30,21,0.045000," ","int(arccoth(x^(1/2))*x^(1/2),x)","\frac{2 x^{\frac{3}{2}} \mathrm{arccoth}\left(\sqrt{x}\right)}{3}+\frac{x}{3}+\frac{\ln \left(-1+\sqrt{x}\right)}{3}+\frac{\ln \left(1+\sqrt{x}\right)}{3}"," ",0,"2/3*x^(3/2)*arccoth(x^(1/2))+1/3*x+1/3*ln(-1+x^(1/2))+1/3*ln(1+x^(1/2))","A"
91,1,15,16,0.047000," ","int(arccoth(x^(1/2))/x^(1/2),x)","2 \,\mathrm{arccoth}\left(\sqrt{x}\right) \sqrt{x}+\ln \left(-1+x \right)"," ",0,"2*arccoth(x^(1/2))*x^(1/2)+ln(-1+x)","A"
92,1,29,20,0.050000," ","int(arccoth(x^(1/2))/x^(3/2),x)","-\frac{2 \,\mathrm{arccoth}\left(\sqrt{x}\right)}{\sqrt{x}}+\ln \left(x \right)-\ln \left(-1+\sqrt{x}\right)-\ln \left(1+\sqrt{x}\right)"," ",0,"-2*arccoth(x^(1/2))/x^(1/2)+ln(x)-ln(-1+x^(1/2))-ln(1+x^(1/2))","A"
93,1,85,24,0.166000," ","int(arccoth(a*x^5)/x,x)","\ln \left(x \right) \mathrm{arccoth}\left(a \,x^{5}\right)-\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(a \,\textit{\_Z}^{5}+1\right)}{\sum}\left(\ln \left(x \right) \ln \left(\frac{\textit{\_R1} -x}{\textit{\_R1}}\right)+\dilog \left(\frac{\textit{\_R1} -x}{\textit{\_R1}}\right)\right)\right)}{2}+\frac{\left(\munderset{\textit{\_R1} =\RootOf \left(a \,\textit{\_Z}^{5}-1\right)}{\sum}\left(\ln \left(x \right) \ln \left(\frac{\textit{\_R1} -x}{\textit{\_R1}}\right)+\dilog \left(\frac{\textit{\_R1} -x}{\textit{\_R1}}\right)\right)\right)}{2}"," ",0,"ln(x)*arccoth(a*x^5)-1/2*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^5*a+1))+1/2*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^5*a-1))","C"
94,1,30,17,0.069000," ","int(arccoth(1/x),x)","x \,\mathrm{arccoth}\left(\frac{1}{x}\right)-\ln \left(\frac{1}{x}\right)+\frac{\ln \left(\frac{1}{x}-1\right)}{2}+\frac{\ln \left(\frac{1}{x}+1\right)}{2}"," ",0,"x*arccoth(1/x)-ln(1/x)+1/2*ln(1/x-1)+1/2*ln(1/x+1)","A"
95,1,61,34,0.092000," ","int(arccoth(a*x^n)/x,x)","\frac{\ln \left(a \,x^{n}\right) \mathrm{arccoth}\left(a \,x^{n}\right)}{n}-\frac{\dilog \left(a \,x^{n}\right)}{2 n}-\frac{\dilog \left(a \,x^{n}+1\right)}{2 n}-\frac{\ln \left(a \,x^{n}\right) \ln \left(a \,x^{n}+1\right)}{2 n}"," ",0,"1/n*ln(a*x^n)*arccoth(a*x^n)-1/2/n*dilog(a*x^n)-1/2/n*dilog(a*x^n+1)-1/2/n*ln(a*x^n)*ln(a*x^n+1)","A"
96,1,70,33,0.032000," ","int((b*x+a)*arccoth(b*x+a),x)","\frac{b \,\mathrm{arccoth}\left(b x +a \right) x^{2}}{2}+\mathrm{arccoth}\left(b x +a \right) x a +\frac{\mathrm{arccoth}\left(b x +a \right) a^{2}}{2 b}+\frac{x}{2}+\frac{a}{2 b}+\frac{\ln \left(b x +a -1\right)}{4 b}-\frac{\ln \left(b x +a +1\right)}{4 b}"," ",0,"1/2*b*arccoth(b*x+a)*x^2+arccoth(b*x+a)*x*a+1/2/b*arccoth(b*x+a)*a^2+1/2*x+1/2*a/b+1/4/b*ln(b*x+a-1)-1/4*ln(b*x+a+1)/b","B"
97,1,95,48,0.033000," ","int((b*x+a)^2*arccoth(b*x+a),x)","\frac{b^{2} \mathrm{arccoth}\left(b x +a \right) x^{3}}{3}+b \,\mathrm{arccoth}\left(b x +a \right) x^{2} a +\mathrm{arccoth}\left(b x +a \right) x \,a^{2}+\frac{\mathrm{arccoth}\left(b x +a \right) a^{3}}{3 b}+\frac{b \,x^{2}}{6}+\frac{a x}{3}+\frac{a^{2}}{6 b}+\frac{\ln \left(b x +a -1\right)}{6 b}+\frac{\ln \left(b x +a +1\right)}{6 b}"," ",0,"1/3*b^2*arccoth(b*x+a)*x^3+b*arccoth(b*x+a)*x^2*a+arccoth(b*x+a)*x*a^2+1/3/b*arccoth(b*x+a)*a^3+1/6*b*x^2+1/3*a*x+1/6/b*a^2+1/6/b*ln(b*x+a-1)+1/6*ln(b*x+a+1)/b","A"
98,1,59,31,0.048000," ","int(arccoth(b*x+a)/(b*x+a),x)","\frac{\ln \left(b x +a \right) \mathrm{arccoth}\left(b x +a \right)}{b}-\frac{\dilog \left(b x +a \right)}{2 b}-\frac{\dilog \left(b x +a +1\right)}{2 b}-\frac{\ln \left(b x +a \right) \ln \left(b x +a +1\right)}{2 b}"," ",0,"1/b*ln(b*x+a)*arccoth(b*x+a)-1/2/b*dilog(b*x+a)-1/2/b*dilog(b*x+a+1)-1/2/b*ln(b*x+a)*ln(b*x+a+1)","A"
99,1,54,46,0.038000," ","int(arccoth(b*x+a)/(b*x+a)^2,x)","-\frac{\mathrm{arccoth}\left(b x +a \right)}{b \left(b x +a \right)}+\frac{\ln \left(b x +a \right)}{b}-\frac{\ln \left(b x +a -1\right)}{2 b}-\frac{\ln \left(b x +a +1\right)}{2 b}"," ",0,"-arccoth(b*x+a)/b/(b*x+a)+ln(b*x+a)/b-1/2/b*ln(b*x+a-1)-1/2*ln(b*x+a+1)/b","A"
100,1,34,21,0.046000," ","int(arccoth(1+x)/(2+2*x),x)","\frac{\ln \left(1+x \right) \mathrm{arccoth}\left(1+x \right)}{2}-\frac{\dilog \left(1+x \right)}{4}-\frac{\dilog \left(x +2\right)}{4}-\frac{\ln \left(1+x \right) \ln \left(x +2\right)}{4}"," ",0,"1/2*ln(1+x)*arccoth(1+x)-1/4*dilog(1+x)-1/4*dilog(x+2)-1/4*ln(1+x)*ln(x+2)","A"
101,1,59,31,0.048000," ","int(arccoth(b*x+a)/(a*d/b+d*x),x)","\frac{\ln \left(b x +a \right) \mathrm{arccoth}\left(b x +a \right)}{d}-\frac{\dilog \left(b x +a \right)}{2 d}-\frac{\dilog \left(b x +a +1\right)}{2 d}-\frac{\ln \left(b x +a \right) \ln \left(b x +a +1\right)}{2 d}"," ",0,"1/d*ln(b*x+a)*arccoth(b*x+a)-1/2/d*dilog(b*x+a)-1/2/d*dilog(b*x+a+1)-1/2/d*ln(b*x+a)*ln(b*x+a+1)","A"
102,1,786,156,0.043000," ","int((f*x+e)^3*(a+b*arccoth(d*x+c)),x)","-\frac{3 b f \ln \left(d x +c +1\right) c \,e^{2}}{2 d^{2}}-\frac{3 b f \ln \left(d x +c +1\right) c^{2} e^{2}}{4 d^{2}}-\frac{3 b f \ln \left(d x +c -1\right) c \,e^{2}}{2 d^{2}}-\frac{b \,f^{2} \ln \left(d x +c -1\right) c^{3} e}{2 d^{3}}+\frac{3 b \,f^{2} \ln \left(d x +c -1\right) c^{2} e}{2 d^{3}}+\frac{b \,f^{2} \ln \left(d x +c +1\right) c^{3} e}{2 d^{3}}+\frac{3 b \,f^{2} \ln \left(d x +c +1\right) c e}{2 d^{3}}-\frac{3 b \,f^{2} \ln \left(d x +c -1\right) c e}{2 d^{3}}-\frac{2 b \,f^{2} c e x}{d^{2}}+\frac{3 b \,f^{2} \ln \left(d x +c +1\right) c^{2} e}{2 d^{3}}+\frac{3 b f \ln \left(d x +c -1\right) c^{2} e^{2}}{4 d^{2}}+\frac{b \ln \left(d x +c -1\right) e^{3}}{2 d}+\frac{3 a f \,x^{2} e^{2}}{2}+a \,f^{2} x^{3} e +\mathrm{arccoth}\left(d x +c \right) x b \,e^{3}+\frac{b \,\mathrm{arccoth}\left(d x +c \right) e^{4}}{4 f}-\frac{b \ln \left(d x +c +1\right) e^{4}}{8 f}+\frac{b \ln \left(d x +c -1\right) e^{4}}{8 f}+\frac{b \,f^{3} x^{3}}{12 d}+\frac{b \,f^{3} \ln \left(d x +c -1\right)}{8 d^{4}}-\frac{b \,f^{3} \ln \left(d x +c +1\right)}{8 d^{4}}+\frac{b \,f^{3} x}{4 d^{3}}+\frac{b \ln \left(d x +c +1\right) e^{3}}{2 d}+\frac{b \,f^{3} \mathrm{arccoth}\left(d x +c \right) x^{4}}{4}+\frac{13 b \,f^{3} c^{3}}{12 d^{4}}+\frac{b \,f^{3} c}{4 d^{4}}+\frac{a \,e^{4}}{4 f}+\frac{3 b f c \,e^{2}}{2 d^{2}}-\frac{b \,f^{3} \ln \left(d x +c -1\right) c^{3}}{2 d^{4}}+\frac{b \ln \left(d x +c +1\right) c \,e^{3}}{2 d}-\frac{b \ln \left(d x +c -1\right) c \,e^{3}}{2 d}+\frac{b \,f^{2} \ln \left(d x +c +1\right) e}{2 d^{3}}-\frac{3 b f \ln \left(d x +c +1\right) e^{2}}{4 d^{2}}+\frac{3 b \,f^{3} \ln \left(d x +c -1\right) c^{2}}{4 d^{4}}-\frac{b \,f^{3} \ln \left(d x +c -1\right) c}{2 d^{4}}-\frac{b \,f^{3} x^{2} c}{4 d^{2}}+\frac{b \,f^{2} e \,x^{2}}{2 d}+b \,f^{2} \mathrm{arccoth}\left(d x +c \right) e \,x^{3}-\frac{b \,f^{3} \ln \left(d x +c +1\right) c^{3}}{2 d^{4}}+\frac{b \,f^{2} \ln \left(d x +c -1\right) e}{2 d^{3}}-\frac{b \,f^{3} \ln \left(d x +c +1\right) c^{4}}{8 d^{4}}-\frac{b \,f^{3} \ln \left(d x +c +1\right) c}{2 d^{4}}+\frac{3 b f \ln \left(d x +c -1\right) e^{2}}{4 d^{2}}+\frac{3 b f \,\mathrm{arccoth}\left(d x +c \right) e^{2} x^{2}}{2}+\frac{3 b f \,e^{2} x}{2 d}+\frac{3 b \,f^{3} c^{2} x}{4 d^{3}}-\frac{3 b \,f^{3} \ln \left(d x +c +1\right) c^{2}}{4 d^{4}}+\frac{b \,f^{3} \ln \left(d x +c -1\right) c^{4}}{8 d^{4}}+a x \,e^{3}+\frac{a \,f^{3} x^{4}}{4}-\frac{5 b \,f^{2} c^{2} e}{2 d^{3}}"," ",0,"-3/2/d^2*b*f*ln(d*x+c+1)*c*e^2-3/4/d^2*b*f*ln(d*x+c+1)*c^2*e^2-3/2/d^2*b*f*ln(d*x+c-1)*c*e^2-1/2/d^3*b*f^2*ln(d*x+c-1)*c^3*e+3/2/d^3*b*f^2*ln(d*x+c-1)*c^2*e+1/2/d^3*b*f^2*ln(d*x+c+1)*c^3*e+3/2/d^3*b*f^2*ln(d*x+c+1)*c*e-3/2/d^3*b*f^2*ln(d*x+c-1)*c*e-2*b/d^2*f^2*c*e*x+3/2/d^3*b*f^2*ln(d*x+c+1)*c^2*e+3/4/d^2*b*f*ln(d*x+c-1)*c^2*e^2+1/2/d*b*ln(d*x+c-1)*e^3+3/2*a*f*x^2*e^2+a*f^2*x^3*e+arccoth(d*x+c)*x*b*e^3+1/4*b/f*arccoth(d*x+c)*e^4-1/8*b/f*ln(d*x+c+1)*e^4+1/8*b/f*ln(d*x+c-1)*e^4+1/12/d*b*f^3*x^3+1/8/d^4*b*f^3*ln(d*x+c-1)-1/8/d^4*b*f^3*ln(d*x+c+1)+1/4*b/d^3*f^3*x+1/2/d*b*ln(d*x+c+1)*e^3+1/4*b*f^3*arccoth(d*x+c)*x^4+13/12/d^4*b*f^3*c^3+1/4/d^4*b*f^3*c+1/4*a/f*e^4+3/2/d^2*b*f*c*e^2-1/2/d^4*b*f^3*ln(d*x+c-1)*c^3+1/2/d*b*ln(d*x+c+1)*c*e^3-1/2/d*b*ln(d*x+c-1)*c*e^3+1/2/d^3*b*f^2*ln(d*x+c+1)*e-3/4/d^2*b*f*ln(d*x+c+1)*e^2+3/4/d^4*b*f^3*ln(d*x+c-1)*c^2-1/2/d^4*b*f^3*ln(d*x+c-1)*c-1/4/d^2*b*f^3*x^2*c+1/2/d*b*f^2*e*x^2+b*f^2*arccoth(d*x+c)*e*x^3-1/2/d^4*b*f^3*ln(d*x+c+1)*c^3+1/2/d^3*b*f^2*ln(d*x+c-1)*e-1/8/d^4*b*f^3*ln(d*x+c+1)*c^4-1/2/d^4*b*f^3*ln(d*x+c+1)*c+3/4/d^2*b*f*ln(d*x+c-1)*e^2+3/2*b*f*arccoth(d*x+c)*e^2*x^2+3/2*b/d*f*e^2*x+3/4*b/d^3*f^3*c^2*x-3/4/d^4*b*f^3*ln(d*x+c+1)*c^2+1/8/d^4*b*f^3*ln(d*x+c-1)*c^4+a*x*e^3+1/4*a*f^3*x^4-5/2/d^3*b*f^2*c^2*e","B"
103,1,477,112,0.040000," ","int((f*x+e)^2*(a+b*arccoth(d*x+c)),x)","-\frac{b f \ln \left(d x +c -1\right) c e}{d^{2}}-\frac{b f \ln \left(d x +c +1\right) c e}{d^{2}}-\frac{b f \ln \left(d x +c +1\right) c^{2} e}{2 d^{2}}+\frac{b f \ln \left(d x +c -1\right) c^{2} e}{2 d^{2}}+\frac{b \ln \left(d x +c -1\right) e^{2}}{2 d}-\frac{b \ln \left(d x +c +1\right) e^{3}}{6 f}+\frac{b \,\mathrm{arccoth}\left(d x +c \right) e^{3}}{3 f}+\mathrm{arccoth}\left(d x +c \right) x b \,e^{2}+\frac{b \,f^{2} \mathrm{arccoth}\left(d x +c \right) x^{3}}{3}+\frac{b \ln \left(d x +c -1\right) e^{3}}{6 f}+\frac{b \,f^{2} x^{2}}{6 d}+a f \,x^{2} e +\frac{b \,f^{2} \ln \left(d x +c +1\right)}{6 d^{3}}+\frac{b \,f^{2} \ln \left(d x +c -1\right)}{6 d^{3}}+\frac{b \ln \left(d x +c +1\right) e^{2}}{2 d}-\frac{5 b \,f^{2} c^{2}}{6 d^{3}}+\frac{a \,e^{3}}{3 f}+\frac{a \,f^{2} x^{3}}{3}+a x \,e^{2}+\frac{b \,f^{2} \ln \left(d x +c +1\right) c^{3}}{6 d^{3}}+\frac{b f \ln \left(d x +c -1\right) e}{2 d^{2}}-\frac{b \,f^{2} \ln \left(d x +c -1\right) c^{3}}{6 d^{3}}+\frac{b \,f^{2} \ln \left(d x +c +1\right) c^{2}}{2 d^{3}}+\frac{b \,f^{2} \ln \left(d x +c -1\right) c^{2}}{2 d^{3}}-\frac{b \,f^{2} \ln \left(d x +c -1\right) c}{2 d^{3}}-\frac{b f \ln \left(d x +c +1\right) e}{2 d^{2}}+b f \,\mathrm{arccoth}\left(d x +c \right) e \,x^{2}-\frac{b \ln \left(d x +c -1\right) c \,e^{2}}{2 d}-\frac{2 b \,f^{2} c x}{3 d^{2}}+\frac{b f e x}{d}+\frac{b \ln \left(d x +c +1\right) c \,e^{2}}{2 d}+\frac{b \,f^{2} \ln \left(d x +c +1\right) c}{2 d^{3}}+\frac{b f c e}{d^{2}}"," ",0,"-1/d^2*b*f*ln(d*x+c-1)*c*e-1/d^2*b*f*ln(d*x+c+1)*c*e-1/2/d^2*b*f*ln(d*x+c+1)*c^2*e+1/2/d^2*b*f*ln(d*x+c-1)*c^2*e+1/2/d*b*ln(d*x+c-1)*e^2-1/6*b/f*ln(d*x+c+1)*e^3+1/3*b/f*arccoth(d*x+c)*e^3+arccoth(d*x+c)*x*b*e^2+1/3*b*f^2*arccoth(d*x+c)*x^3+1/6*b/f*ln(d*x+c-1)*e^3+1/6/d*b*f^2*x^2+a*f*x^2*e+1/6/d^3*b*f^2*ln(d*x+c+1)+1/6/d^3*b*f^2*ln(d*x+c-1)+1/2/d*b*ln(d*x+c+1)*e^2-5/6/d^3*b*f^2*c^2+1/3*a/f*e^3+1/3*a*f^2*x^3+a*x*e^2+1/6/d^3*b*f^2*ln(d*x+c+1)*c^3+1/2/d^2*b*f*ln(d*x+c-1)*e-1/6/d^3*b*f^2*ln(d*x+c-1)*c^3+1/2/d^3*b*f^2*ln(d*x+c+1)*c^2+1/2/d^3*b*f^2*ln(d*x+c-1)*c^2-1/2/d^3*b*f^2*ln(d*x+c-1)*c-1/2/d^2*b*f*ln(d*x+c+1)*e+b*f*arccoth(d*x+c)*e*x^2-1/2/d*b*ln(d*x+c-1)*c*e^2-2/3*b/d^2*f^2*c*x+b/d*f*e*x+1/2/d*b*ln(d*x+c+1)*c*e^2+1/2/d^3*b*f^2*ln(d*x+c+1)*c+1/d^2*b*f*c*e","B"
104,1,184,89,0.034000," ","int((f*x+e)*(a+b*arccoth(d*x+c)),x)","\frac{a \,x^{2} f}{2}-\frac{a \,c^{2} f}{2 d^{2}}+a x e +\frac{a c e}{d}+\frac{b \,\mathrm{arccoth}\left(d x +c \right) f \,x^{2}}{2}-\frac{b \,\mathrm{arccoth}\left(d x +c \right) f \,c^{2}}{2 d^{2}}+\mathrm{arccoth}\left(d x +c \right) x b e +\frac{\mathrm{arccoth}\left(d x +c \right) b c e}{d}+\frac{b f x}{2 d}+\frac{b c f}{2 d^{2}}-\frac{b \ln \left(d x +c -1\right) c f}{2 d^{2}}+\frac{b \ln \left(d x +c -1\right) e}{2 d}+\frac{b \ln \left(d x +c -1\right) f}{4 d^{2}}-\frac{b \ln \left(d x +c +1\right) c f}{2 d^{2}}+\frac{b \ln \left(d x +c +1\right) e}{2 d}-\frac{b \ln \left(d x +c +1\right) f}{4 d^{2}}"," ",0,"1/2*a*x^2*f-1/2/d^2*a*c^2*f+a*x*e+1/d*a*c*e+1/2*b*arccoth(d*x+c)*f*x^2-1/2/d^2*b*arccoth(d*x+c)*f*c^2+arccoth(d*x+c)*x*b*e+1/d*arccoth(d*x+c)*b*c*e+1/2*b*f*x/d+1/2/d^2*b*c*f-1/2/d^2*b*ln(d*x+c-1)*c*f+1/2/d*b*ln(d*x+c-1)*e+1/4/d^2*b*ln(d*x+c-1)*f-1/2/d^2*b*ln(d*x+c+1)*c*f+1/2/d*b*ln(d*x+c+1)*e-1/4/d^2*b*ln(d*x+c+1)*f","B"
105,1,42,38,0.030000," ","int(a+b*arccoth(d*x+c),x)","a x +b \,\mathrm{arccoth}\left(d x +c \right) x +\frac{b \,\mathrm{arccoth}\left(d x +c \right) c}{d}+\frac{b \ln \left(\left(d x +c \right)^{2}-1\right)}{2 d}"," ",0,"a*x+b*arccoth(d*x+c)*x+b/d*arccoth(d*x+c)*c+1/2*b/d*ln((d*x+c)^2-1)","A"
106,1,202,126,0.085000," ","int((a+b*arccoth(d*x+c))/(f*x+e),x)","\frac{a \ln \left(\left(d x +c \right) f -c f +d e \right)}{f}+\frac{b \ln \left(\left(d x +c \right) f -c f +d e \right) \mathrm{arccoth}\left(d x +c \right)}{f}-\frac{b \ln \left(\left(d x +c \right) f -c f +d e \right) \ln \left(\frac{\left(d x +c \right) f +f}{c f -d e +f}\right)}{2 f}-\frac{b \dilog \left(\frac{\left(d x +c \right) f +f}{c f -d e +f}\right)}{2 f}+\frac{b \ln \left(\left(d x +c \right) f -c f +d e \right) \ln \left(\frac{\left(d x +c \right) f -f}{c f -d e -f}\right)}{2 f}+\frac{b \dilog \left(\frac{\left(d x +c \right) f -f}{c f -d e -f}\right)}{2 f}"," ",0,"a*ln((d*x+c)*f-c*f+d*e)/f+b*ln((d*x+c)*f-c*f+d*e)/f*arccoth(d*x+c)-1/2*b/f*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f+f)/(c*f-d*e+f))-1/2*b/f*dilog(((d*x+c)*f+f)/(c*f-d*e+f))+1/2*b/f*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f-f)/(c*f-d*e-f))+1/2*b/f*dilog(((d*x+c)*f-f)/(c*f-d*e-f))","A"
107,1,141,114,0.042000," ","int((a+b*arccoth(d*x+c))/(f*x+e)^2,x)","-\frac{d a}{\left(d f x +d e \right) f}-\frac{d b \,\mathrm{arccoth}\left(d x +c \right)}{\left(d f x +d e \right) f}-\frac{d b \ln \left(\left(d x +c \right) f -c f +d e \right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}+\frac{d b \ln \left(d x +c -1\right)}{f \left(2 c f -2 d e -2 f \right)}-\frac{d b \ln \left(d x +c +1\right)}{f \left(2 c f -2 d e +2 f \right)}"," ",0,"-d*a/(d*f*x+d*e)/f-d*b/(d*f*x+d*e)/f*arccoth(d*x+c)-d*b/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)+d*b/f/(2*c*f-2*d*e-2*f)*ln(d*x+c-1)-d*b/f/(2*c*f-2*d*e+2*f)*ln(d*x+c+1)","A"
108,1,236,163,0.046000," ","int((a+b*arccoth(d*x+c))/(f*x+e)^3,x)","-\frac{d^{2} a}{2 \left(d f x +d e \right)^{2} f}-\frac{d^{2} b \,\mathrm{arccoth}\left(d x +c \right)}{2 \left(d f x +d e \right)^{2} f}+\frac{d^{2} b}{2 \left(c f -d e -f \right) \left(c f -d e +f \right) \left(d f x +d e \right)}+\frac{d^{2} b f \ln \left(\left(d x +c \right) f -c f +d e \right) c}{\left(c f -d e -f \right)^{2} \left(c f -d e +f \right)^{2}}-\frac{d^{3} b \ln \left(\left(d x +c \right) f -c f +d e \right) e}{\left(c f -d e -f \right)^{2} \left(c f -d e +f \right)^{2}}-\frac{d^{2} b \ln \left(d x +c -1\right)}{4 f \left(c f -d e -f \right)^{2}}+\frac{d^{2} b \ln \left(d x +c +1\right)}{4 f \left(c f -d e +f \right)^{2}}"," ",0,"-1/2*d^2*a/(d*f*x+d*e)^2/f-1/2*d^2*b/(d*f*x+d*e)^2/f*arccoth(d*x+c)+1/2*d^2*b/(c*f-d*e-f)/(c*f-d*e+f)/(d*f*x+d*e)+d^2*b*f/(c*f-d*e-f)^2/(c*f-d*e+f)^2*ln((d*x+c)*f-c*f+d*e)*c-d^3*b/(c*f-d*e-f)^2/(c*f-d*e+f)^2*ln((d*x+c)*f-c*f+d*e)*e-1/4*d^2*b/f/(c*f-d*e-f)^2*ln(d*x+c-1)+1/4*d^2*b/f/(c*f-d*e+f)^2*ln(d*x+c+1)","A"
109,1,2694,360,0.078000," ","int((f*x+e)^2*(a+b*arccoth(d*x+c))^2,x)","\text{Expression too large to display}"," ",0,"1/3*b^2*f^2*x/d^2+1/2/d^3*b^2*f^2*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*c^2+1/2/d^2*b^2*f*ln(d*x+c+1)^2*c*e-1/3/d^3*a*b*f^2*ln(d*x+c-1)*c^3-1/d^2*b^2*f*arccoth(d*x+c)*ln(d*x+c+1)*e+1/d^2*b^2*f*arccoth(d*x+c)*ln(d*x+c-1)*e-1/6/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*c^3+1/2/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*c+2/d^2*a*b*f*c*e+1/d^2*b^2*f*ln(d*x+c+1)*e-1/d^3*b^2*f^2*ln(d*x+c-1)*c-1/4/d*b^2*ln(d*x+c-1)^2*c*e^2-1/2/d*b^2*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*e^2+1/2/d*b^2*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*e^2-5/3/d^3*b^2*f^2*arccoth(d*x+c)*c^2+2/3*a*b*f^2*arccoth(d*x+c)*x^3+1/3*b^2/f*arccoth(d*x+c)*ln(d*x+c-1)*e^3-1/4/d^3*b^2*f^2*ln(d*x+c+1)^2*c+1/3/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c-1)-1/12/d^3*b^2*f^2*ln(d*x+c+1)^2*c^3+1/3/d^3*a*b*f^2*ln(d*x+c+1)-1/d^3*b^2*f^2*ln(d*x+c+1)*c+2*a*b*f*arccoth(d*x+c)*e*x^2+1/2/d^3*b^2*f^2*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*c+1/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c-1)*c^2-1/3/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c-1)*c^3-1/2/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*c^2+1/2/d^2*b^2*f*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*e-1/2/d^2*b^2*f*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*e+2*a*b/d*f*e*x-4/3*a*b/d^2*f^2*c*x+1/2/d*b^2*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*c*e^2+1/2/d*b^2*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*c*e^2+1/d^3*a*b*f^2*ln(d*x+c-1)*c^2+1/3/d^3*a*b*f^2*ln(d*x+c+1)*c^3+2/d^2*b^2*f*dilog(1/2+1/2*d*x+1/2*c)*c*e+1/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c+1)*c^2-1/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c-1)*c+b^2*f*arccoth(d*x+c)^2*e*x^2+2*arccoth(d*x+c)*x*a*b*e^2+1/d*a*b*ln(d*x+c+1)*e^2+1/3*a*b/f*ln(d*x+c-1)*e^3+2/3*a*b/f*arccoth(d*x+c)*e^3-1/3*b^2/f*arccoth(d*x+c)*ln(d*x+c+1)*e^3-1/6*b^2/f*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*e^3+1/6*b^2/f*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*e^3-1/6*b^2/f*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*e^3-1/3*a*b/f*ln(d*x+c+1)*e^3+1/3/d^3*a*b*f^2*ln(d*x+c-1)-1/4/d^3*b^2*f^2*ln(d*x+c+1)^2*c^2+1/4/d^2*b^2*f*ln(d*x+c-1)^2*e-1/12/d^3*b^2*f^2*ln(d*x+c-1)^2*c^3+1/4/d^3*b^2*f^2*ln(d*x+c-1)^2*c^2-1/4/d^3*b^2*f^2*ln(d*x+c-1)^2*c+1/d^2*b^2*f*ln(d*x+c-1)*e-1/d^3*b^2*f^2*dilog(1/2+1/2*d*x+1/2*c)*c^2+1/4/d^2*b^2*f*ln(d*x+c+1)^2*e-1/4/d*b^2*ln(d*x+c+1)^2*c*e^2-1/2/d*b^2*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*e^2-1/2/d*b^2*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*c*e^2+1/d*b^2*arccoth(d*x+c)*ln(d*x+c+1)*c*e^2-1/d*b^2*arccoth(d*x+c)*ln(d*x+c-1)*c*e^2+1/3/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c+1)*c^3+1/6/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*c^3-1/2/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*c^2+1/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c+1)*c+1/4/d^2*b^2*f*ln(d*x+c-1)^2*c^2*e-1/2/d^2*b^2*f*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*e-1/2/d^2*b^2*f*ln(d*x+c-1)^2*c*e+1/d^3*a*b*f^2*ln(d*x+c+1)*c^2-1/2/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*c+1/6/d^3*b^2*f^2*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*c^3+2/d*b^2*f*arccoth(d*x+c)*e*x+2/d^2*b^2*f*arccoth(d*x+c)*e*c-4/3/d^2*b^2*f^2*arccoth(d*x+c)*x*c+1/4/d^2*b^2*f*ln(d*x+c+1)^2*c^2*e+1/d^3*a*b*f^2*ln(d*x+c+1)*c-1/d^3*a*b*f^2*ln(d*x+c-1)*c+1/d^2*a*b*f*ln(d*x+c-1)*e-1/d^2*a*b*f*ln(d*x+c+1)*e-1/d^2*b^2*f*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*c*e+1/d^2*b^2*f*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*c*e+1/d^2*b^2*f*arccoth(d*x+c)*ln(d*x+c-1)*c^2*e-1/d^2*a*b*f*ln(d*x+c+1)*c^2*e-2/d^2*a*b*f*ln(d*x+c+1)*c*e-2/d^2*b^2*f*arccoth(d*x+c)*ln(d*x+c+1)*c*e+1/d^2*a*b*f*ln(d*x+c-1)*c^2*e-2/d^2*a*b*f*ln(d*x+c-1)*c*e-2/d^2*b^2*f*arccoth(d*x+c)*ln(d*x+c-1)*c*e-1/2/d^2*b^2*f*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)*c^2*e-1/d^2*b^2*f*arccoth(d*x+c)*ln(d*x+c+1)*c^2*e+1/2/d^2*b^2*f*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*c^2*e+1/d^2*b^2*f*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)*c*e-1/2/d^2*b^2*f*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)*c^2*e+1/3*a^2*f^2*x^3+a^2*x*e^2+1/3/d^3*b^2*f^2*c+1/3*a^2/f*e^3+a^2*f*x^2*e+1/3*b^2/f*arccoth(d*x+c)^2*e^3+1/3*b^2*f^2*arccoth(d*x+c)^2*x^3+arccoth(d*x+c)^2*x*b^2*e^2-1/3/d^3*b^2*f^2*dilog(1/2+1/2*d*x+1/2*c)+1/6/d^3*b^2*f^2*ln(d*x+c-1)-1/4/d*b^2*ln(d*x+c+1)^2*e^2+1/4/d*b^2*ln(d*x+c-1)^2*e^2-1/d*b^2*dilog(1/2+1/2*d*x+1/2*c)*e^2-1/6/d^3*b^2*f^2*ln(d*x+c+1)+1/12/d^3*b^2*f^2*ln(d*x+c-1)^2-1/12/d^3*b^2*f^2*ln(d*x+c+1)^2+1/12*b^2/f*ln(d*x+c+1)^2*e^3+1/12*b^2/f*ln(d*x+c-1)^2*e^3+1/d*b^2*arccoth(d*x+c)*ln(d*x+c-1)*e^2+1/d*b^2*arccoth(d*x+c)*ln(d*x+c+1)*e^2-1/6/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(d*x+c-1)+1/3/d^3*b^2*f^2*arccoth(d*x+c)*ln(d*x+c+1)+1/6/d^3*b^2*f^2*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)-1/6/d^3*b^2*f^2*ln(1/2+1/2*d*x+1/2*c)*ln(-1/2*d*x-1/2*c+1/2)+1/3/d*b^2*f^2*arccoth(d*x+c)*x^2+1/3/d*a*b*f^2*x^2-5/3/d^3*a*b*f^2*c^2+1/d*a*b*ln(d*x+c+1)*c*e^2-1/d*a*b*ln(d*x+c-1)*c*e^2+1/d*a*b*ln(d*x+c-1)*e^2","B"
110,1,857,217,0.069000," ","int((f*x+e)*(a+b*arccoth(d*x+c))^2,x)","\frac{b^{2} \ln \left(d x +c -1\right)^{2} e}{4 d}+\frac{a^{2} c e}{d}-\frac{a^{2} c^{2} f}{2 d^{2}}+\frac{a b f x}{d}-\frac{a b \ln \left(d x +c +1\right) c f}{d^{2}}-\frac{a b \ln \left(d x +c -1\right) c f}{d^{2}}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c +1\right) c f}{d^{2}}+\frac{b^{2} \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) c f}{2 d^{2}}-\frac{b^{2} \ln \left(d x +c +1\right) \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) c f}{2 d^{2}}+\frac{b^{2} \ln \left(d x +c -1\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) c f}{2 d^{2}}-\frac{b^{2} \ln \left(d x +c +1\right)^{2} e}{4 d}+\frac{b^{2} \ln \left(d x +c +1\right) f}{2 d^{2}}+\frac{b^{2} \ln \left(d x +c -1\right) f}{2 d^{2}}+\frac{b^{2} \ln \left(d x +c +1\right)^{2} f}{8 d^{2}}+\frac{b^{2} \ln \left(d x +c -1\right)^{2} f}{8 d^{2}}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} f \,x^{2}}{2}+\mathrm{arccoth}\left(d x +c \right)^{2} x \,b^{2} e -\frac{b^{2} \dilog \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) e}{d}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c -1\right) c f}{d^{2}}-\frac{a b \,\mathrm{arccoth}\left(d x +c \right) c^{2} f}{d^{2}}+\frac{2 \,\mathrm{arccoth}\left(d x +c \right) a b c e}{d}+\frac{a^{2} x^{2} f}{2}+a^{2} x e -\frac{b^{2} \ln \left(d x +c -1\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) e}{2 d}+a b \,\mathrm{arccoth}\left(d x +c \right) f \,x^{2}+2 \,\mathrm{arccoth}\left(d x +c \right) x a b e -\frac{b^{2} \ln \left(d x +c +1\right) \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) f}{4 d^{2}}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} c^{2} f}{2 d^{2}}+\frac{b^{2} \ln \left(d x +c +1\right) \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) e}{2 d}-\frac{b^{2} \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) e}{2 d}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c -1\right) e}{d}+\frac{a b \ln \left(d x +c +1\right) e}{d}+\frac{a b \ln \left(d x +c -1\right) e}{d}-\frac{b^{2} \ln \left(d x +c -1\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) f}{4 d^{2}}+\frac{b^{2} \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) f}{4 d^{2}}+\frac{a b c f}{d^{2}}+\frac{b^{2} \dilog \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right) c f}{d^{2}}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) f x}{d}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c +1\right) f}{2 d^{2}}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) f c}{d^{2}}+\frac{\mathrm{arccoth}\left(d x +c \right)^{2} b^{2} c e}{d}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c +1\right) e}{d}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c -1\right) f}{2 d^{2}}-\frac{a b \ln \left(d x +c +1\right) f}{2 d^{2}}+\frac{b^{2} \ln \left(d x +c +1\right)^{2} c f}{4 d^{2}}-\frac{b^{2} \ln \left(d x +c -1\right)^{2} c f}{4 d^{2}}+\frac{a b \ln \left(d x +c -1\right) f}{2 d^{2}}"," ",0,"1/4/d*b^2*ln(d*x+c-1)^2*e+1/d*a^2*c*e-1/2/d^2*a^2*c^2*f+a*b*f*x/d-1/d^2*a*b*ln(d*x+c+1)*c*f-1/d^2*a*b*ln(d*x+c-1)*c*f-1/d^2*b^2*arccoth(d*x+c)*ln(d*x+c+1)*c*f+1/2/d^2*b^2*ln(-1/2*d*x-1/2*c+1/2)*ln(1/2+1/2*d*x+1/2*c)*c*f-1/2/d^2*b^2*ln(d*x+c+1)*ln(-1/2*d*x-1/2*c+1/2)*c*f+1/2/d^2*b^2*ln(d*x+c-1)*ln(1/2+1/2*d*x+1/2*c)*c*f-1/d*b^2*dilog(1/2+1/2*d*x+1/2*c)*e-1/4/d*b^2*ln(d*x+c+1)^2*e+1/2/d^2*b^2*ln(d*x+c+1)*f+1/2/d^2*b^2*ln(d*x+c-1)*f+1/8/d^2*b^2*ln(d*x+c+1)^2*f+1/8/d^2*b^2*ln(d*x+c-1)^2*f+1/2*b^2*arccoth(d*x+c)^2*f*x^2+arccoth(d*x+c)^2*x*b^2*e-1/d^2*b^2*arccoth(d*x+c)*ln(d*x+c-1)*c*f-1/d^2*a*b*arccoth(d*x+c)*c^2*f+2/d*arccoth(d*x+c)*a*b*c*e+1/2*a^2*x^2*f+a^2*x*e-1/2/d*b^2*ln(d*x+c-1)*ln(1/2+1/2*d*x+1/2*c)*e+a*b*arccoth(d*x+c)*f*x^2+2*arccoth(d*x+c)*x*a*b*e-1/4/d^2*b^2*ln(d*x+c+1)*ln(-1/2*d*x-1/2*c+1/2)*f-1/2/d^2*b^2*arccoth(d*x+c)^2*c^2*f+1/2/d*b^2*ln(d*x+c+1)*ln(-1/2*d*x-1/2*c+1/2)*e-1/2/d*b^2*ln(-1/2*d*x-1/2*c+1/2)*ln(1/2+1/2*d*x+1/2*c)*e+1/d*b^2*arccoth(d*x+c)*ln(d*x+c-1)*e+1/d*a*b*ln(d*x+c+1)*e+1/d*a*b*ln(d*x+c-1)*e-1/4/d^2*b^2*ln(d*x+c-1)*ln(1/2+1/2*d*x+1/2*c)*f+1/4/d^2*b^2*ln(-1/2*d*x-1/2*c+1/2)*ln(1/2+1/2*d*x+1/2*c)*f+1/d^2*a*b*c*f+1/d*b^2*arccoth(d*x+c)*f*x-1/2/d^2*b^2*arccoth(d*x+c)*ln(d*x+c+1)*f+1/d^2*b^2*arccoth(d*x+c)*f*c+1/d*arccoth(d*x+c)^2*b^2*c*e+1/d*b^2*arccoth(d*x+c)*ln(d*x+c+1)*e+1/2/d^2*b^2*arccoth(d*x+c)*ln(d*x+c-1)*f-1/2/d^2*a*b*ln(d*x+c+1)*f+1/4/d^2*b^2*ln(d*x+c+1)^2*c*f+1/d^2*b^2*dilog(1/2+1/2*d*x+1/2*c)*c*f-1/4/d^2*b^2*ln(d*x+c-1)^2*c*f+1/2/d^2*a*b*ln(d*x+c-1)*f","B"
111,1,226,99,0.237000," ","int((a+b*arccoth(d*x+c))^2,x)","\mathrm{arccoth}\left(d x +c \right)^{2} x \,b^{2}+\frac{\mathrm{arccoth}\left(d x +c \right)^{2} b^{2} c}{d}+2 \,\mathrm{arccoth}\left(d x +c \right) x a b +\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2}}{d}-\frac{2 \,\mathrm{arccoth}\left(d x +c \right) \ln \left(1+\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{2}}{d}-\frac{2 \,\mathrm{arccoth}\left(d x +c \right) \ln \left(1-\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{2}}{d}+\frac{2 \,\mathrm{arccoth}\left(d x +c \right) a b c}{d}+a^{2} x +\frac{a b \ln \left(\left(d x +c \right)^{2}-1\right)}{d}-\frac{2 \polylog \left(2, -\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{2}}{d}-\frac{2 \polylog \left(2, \frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{2}}{d}+\frac{a^{2} c}{d}"," ",0,"arccoth(d*x+c)^2*x*b^2+1/d*arccoth(d*x+c)^2*b^2*c+2*arccoth(d*x+c)*x*a*b+1/d*b^2*arccoth(d*x+c)^2-2/d*arccoth(d*x+c)*ln(1+1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^2-2/d*arccoth(d*x+c)*ln(1-1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^2+2/d*arccoth(d*x+c)*a*b*c+a^2*x+1/d*a*b*ln((d*x+c)^2-1)-2/d*polylog(2,-1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^2-2/d*polylog(2,1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^2+a^2*c/d","B"
112,1,1845,210,1.495000," ","int((a+b*arccoth(d*x+c))^2/(f*x+e),x)","\frac{b^{2} \ln \left(\left(d x +c \right) f -c f +d e \right) \mathrm{arccoth}\left(d x +c \right)^{2}}{f}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right)}{f}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right)}{f}+\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(\frac{d x +c +1}{d x +c -1}-1\right)}{f}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1-\frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{c f -d e -f}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)}{f}+\frac{a^{2} \ln \left(\left(d x +c \right) f -c f +d e \right)}{f}+\frac{2 b^{2} \polylog \left(3, -\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right)}{f}+\frac{2 b^{2} \polylog \left(3, \frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right)}{f}+\frac{i b^{2} \pi  \mathrm{arccoth}\left(d x +c \right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{d x +c +1}{d x +c -1}-1}\right) \mathrm{csgn}\left(i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)}{\frac{d x +c +1}{d x +c -1}-1}\right)}{2 f}-\frac{a b \ln \left(\left(d x +c \right) f -c f +d e \right) \ln \left(\frac{\left(d x +c \right) f +f}{c f -d e +f}\right)}{f}+\frac{a b \ln \left(\left(d x +c \right) f -c f +d e \right) \ln \left(\frac{\left(d x +c \right) f -f}{c f -d e -f}\right)}{f}+\frac{b^{2} c \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1-\frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{c f -d e -f}+\frac{b^{2} \polylog \left(3, \frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{2 c f -2 d e -2 f}+\frac{2 a b \ln \left(\left(d x +c \right) f -c f +d e \right) \mathrm{arccoth}\left(d x +c \right)}{f}+\frac{b^{2} c \,\mathrm{arccoth}\left(d x +c \right) \polylog \left(2, \frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{c f -d e -f}-\frac{i b^{2} \pi  \mathrm{arccoth}\left(d x +c \right)^{2}}{f}-\frac{b^{2} c \polylog \left(3, \frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{2 \left(c f -d e -f \right)}-\frac{2 b^{2} \mathrm{arccoth}\left(d x +c \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right)}{f}-\frac{2 b^{2} \mathrm{arccoth}\left(d x +c \right) \polylog \left(2, \frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right)}{f}-\frac{b^{2} \mathrm{arccoth}\left(d x +c \right) \polylog \left(2, \frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{c f -d e -f}-\frac{a b \dilog \left(\frac{\left(d x +c \right) f +f}{c f -d e +f}\right)}{f}+\frac{a b \dilog \left(\frac{\left(d x +c \right) f -f}{c f -d e -f}\right)}{f}+\frac{d \,b^{2} e \polylog \left(3, \frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{2 f \left(c f -d e -f \right)}-\frac{d \,b^{2} e \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1-\frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{f \left(c f -d e -f \right)}-\frac{d \,b^{2} e \,\mathrm{arccoth}\left(d x +c \right) \polylog \left(2, \frac{\left(c f -d e -f \right) \left(d x +c +1\right)}{\left(d x +c -1\right) \left(c f -d e +f \right)}\right)}{f \left(c f -d e -f \right)}-\frac{i b^{2} \pi  \mathrm{arccoth}\left(d x +c \right)^{2} \mathrm{csgn}\left(\frac{i}{\frac{d x +c +1}{d x +c -1}-1}\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)}{\frac{d x +c +1}{d x +c -1}-1}\right)^{2}}{2 f}-\frac{i b^{2} \pi  \mathrm{arccoth}\left(d x +c \right)^{2} \mathrm{csgn}\left(i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)\right) \mathrm{csgn}\left(\frac{i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)}{\frac{d x +c +1}{d x +c -1}-1}\right)^{2}}{2 f}+\frac{i b^{2} \pi  \mathrm{arccoth}\left(d x +c \right)^{2} \mathrm{csgn}\left(\frac{i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)}{\frac{d x +c +1}{d x +c -1}-1}\right)^{2}}{f}-\frac{i b^{2} \pi  \mathrm{arccoth}\left(d x +c \right)^{2} \mathrm{csgn}\left(\frac{i \left(\left(\frac{d x +c +1}{d x +c -1}-1\right) c f +\left(1-\frac{d x +c +1}{d x +c -1}\right) e d +\left(-\frac{d x +c +1}{d x +c -1}-1\right) f \right)}{\frac{d x +c +1}{d x +c -1}-1}\right)^{3}}{2 f}"," ",0,"-1/2*b^2*c/(c*f-d*e-f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+b^2*ln((d*x+c)*f-c*f+d*e)/f*arccoth(d*x+c)^2-b^2/f*arccoth(d*x+c)^2*ln(1+1/((d*x+c-1)/(d*x+c+1))^(1/2))-2*b^2/f*arccoth(d*x+c)*polylog(2,-1/((d*x+c-1)/(d*x+c+1))^(1/2))-b^2/f*arccoth(d*x+c)^2*ln(1-1/((d*x+c-1)/(d*x+c+1))^(1/2))-2*b^2/f*arccoth(d*x+c)*polylog(2,1/((d*x+c-1)/(d*x+c+1))^(1/2))+b^2/f*arccoth(d*x+c)^2*ln((d*x+c+1)/(d*x+c-1)-1)-b^2/(c*f-d*e-f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-b^2/(c*f-d*e-f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-b^2/f*arccoth(d*x+c)^2*ln(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)-a*b/f*dilog(((d*x+c)*f+f)/(c*f-d*e+f))+a*b/f*dilog(((d*x+c)*f-f)/(c*f-d*e-f))+2*b^2/f*polylog(3,-1/((d*x+c-1)/(d*x+c+1))^(1/2))+1/2*b^2/(c*f-d*e-f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+a^2*ln((d*x+c)*f-c*f+d*e)/f+2*b^2/f*polylog(3,1/((d*x+c-1)/(d*x+c+1))^(1/2))+1/2*I*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))-a*b/f*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f+f)/(c*f-d*e+f))+a*b/f*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f-f)/(c*f-d*e-f))+b^2*c/(c*f-d*e-f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+b^2*c/(c*f-d*e-f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+2*a*b*ln((d*x+c)*f-c*f+d*e)/f*arccoth(d*x+c)-I*b^2/f*Pi*arccoth(d*x+c)^2+I*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2+1/2*d*b^2/f*e/(c*f-d*e-f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-1/2*I*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^3-d*b^2/f*e/(c*f-d*e-f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-d*b^2/f*e/(c*f-d*e-f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-1/2*I*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2-1/2*I*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2","C"
113,1,783,482,0.077000," ","int((a+b*arccoth(d*x+c))^2/(f*x+e)^2,x)","-\frac{d \,a^{2}}{\left(d f x +d e \right) f}-\frac{d \,b^{2} \mathrm{arccoth}\left(d x +c \right)^{2}}{\left(d f x +d e \right) f}-\frac{2 d \,b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(\left(d x +c \right) f -c f +d e \right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}+\frac{2 d \,b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c -1\right)}{f \left(2 c f -2 d e -2 f \right)}-\frac{2 d \,b^{2} \mathrm{arccoth}\left(d x +c \right) \ln \left(d x +c +1\right)}{f \left(2 c f -2 d e +2 f \right)}+\frac{d \,b^{2} \ln \left(\left(d x +c \right) f -c f +d e \right) \ln \left(\frac{\left(d x +c \right) f +f}{c f -d e +f}\right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}+\frac{d \,b^{2} \dilog \left(\frac{\left(d x +c \right) f +f}{c f -d e +f}\right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}-\frac{d \,b^{2} \ln \left(\left(d x +c \right) f -c f +d e \right) \ln \left(\frac{\left(d x +c \right) f -f}{c f -d e -f}\right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}-\frac{d \,b^{2} \dilog \left(\frac{\left(d x +c \right) f -f}{c f -d e -f}\right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}+\frac{d \,b^{2} \ln \left(d x +c -1\right)^{2}}{4 f \left(c f -d e -f \right)}-\frac{d \,b^{2} \dilog \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right)}{2 f \left(c f -d e -f \right)}-\frac{d \,b^{2} \ln \left(d x +c -1\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right)}{2 f \left(c f -d e -f \right)}+\frac{d \,b^{2} \ln \left(d x +c +1\right)^{2}}{4 f \left(c f -d e +f \right)}+\frac{d \,b^{2} \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) \ln \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right)}{2 f \left(c f -d e +f \right)}-\frac{d \,b^{2} \ln \left(-\frac{d x}{2}-\frac{c}{2}+\frac{1}{2}\right) \ln \left(d x +c +1\right)}{2 f \left(c f -d e +f \right)}+\frac{d \,b^{2} \dilog \left(\frac{1}{2}+\frac{d x}{2}+\frac{c}{2}\right)}{2 f \left(c f -d e +f \right)}-\frac{2 d a b \,\mathrm{arccoth}\left(d x +c \right)}{\left(d f x +d e \right) f}-\frac{2 d a b \ln \left(\left(d x +c \right) f -c f +d e \right)}{\left(c f -d e -f \right) \left(c f -d e +f \right)}+\frac{2 d a b \ln \left(d x +c -1\right)}{f \left(2 c f -2 d e -2 f \right)}-\frac{2 d a b \ln \left(d x +c +1\right)}{f \left(2 c f -2 d e +2 f \right)}"," ",0,"-d*a^2/(d*f*x+d*e)/f-d*b^2/(d*f*x+d*e)/f*arccoth(d*x+c)^2-2*d*b^2*arccoth(d*x+c)/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)+2*d*b^2/f*arccoth(d*x+c)/(2*c*f-2*d*e-2*f)*ln(d*x+c-1)-2*d*b^2/f*arccoth(d*x+c)/(2*c*f-2*d*e+2*f)*ln(d*x+c+1)+d*b^2/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f+f)/(c*f-d*e+f))+d*b^2/(c*f-d*e-f)/(c*f-d*e+f)*dilog(((d*x+c)*f+f)/(c*f-d*e+f))-d*b^2/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f-f)/(c*f-d*e-f))-d*b^2/(c*f-d*e-f)/(c*f-d*e+f)*dilog(((d*x+c)*f-f)/(c*f-d*e-f))+1/4*d*b^2/f/(c*f-d*e-f)*ln(d*x+c-1)^2-1/2*d*b^2/f/(c*f-d*e-f)*dilog(1/2+1/2*d*x+1/2*c)-1/2*d*b^2/f/(c*f-d*e-f)*ln(d*x+c-1)*ln(1/2+1/2*d*x+1/2*c)+1/4*d*b^2/f/(c*f-d*e+f)*ln(d*x+c+1)^2+1/2*d*b^2/f/(c*f-d*e+f)*ln(-1/2*d*x-1/2*c+1/2)*ln(1/2+1/2*d*x+1/2*c)-1/2*d*b^2/f/(c*f-d*e+f)*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)+1/2*d*b^2/f/(c*f-d*e+f)*dilog(1/2+1/2*d*x+1/2*c)-2*d*a*b/(d*f*x+d*e)/f*arccoth(d*x+c)-2*d*a*b/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)+2*d*a*b/f/(2*c*f-2*d*e-2*f)*ln(d*x+c-1)-2*d*a*b/f/(2*c*f-2*d*e+2*f)*ln(d*x+c+1)","A"
114,1,10477,534,16.593000," ","int((f*x+e)^2*(a+b*arccoth(d*x+c))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
115,1,12285,316,1.423000," ","int((f*x+e)*(a+b*arccoth(d*x+c))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
116,1,485,130,0.303000," ","int((a+b*arccoth(d*x+c))^3,x)","a^{3} x +\frac{a^{3} c}{d}+\mathrm{arccoth}\left(d x +c \right)^{3} x \,b^{3}+\frac{\mathrm{arccoth}\left(d x +c \right)^{3} b^{3} c}{d}+\frac{b^{3} \mathrm{arccoth}\left(d x +c \right)^{3}}{d}-\frac{3 \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{3}}{d}-\frac{3 \mathrm{arccoth}\left(d x +c \right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{3}}{d}-\frac{6 \,\mathrm{arccoth}\left(d x +c \right) \polylog \left(2, -\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{3}}{d}-\frac{6 \,\mathrm{arccoth}\left(d x +c \right) \polylog \left(2, \frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{3}}{d}+\frac{6 \polylog \left(3, -\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{3}}{d}+\frac{6 \polylog \left(3, \frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) b^{3}}{d}+3 \mathrm{arccoth}\left(d x +c \right)^{2} x a \,b^{2}+\frac{3 \mathrm{arccoth}\left(d x +c \right)^{2} a \,b^{2} c}{d}+\frac{3 a \,b^{2} \mathrm{arccoth}\left(d x +c \right)^{2}}{d}-\frac{6 \,\mathrm{arccoth}\left(d x +c \right) \ln \left(1+\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) a \,b^{2}}{d}-\frac{6 \,\mathrm{arccoth}\left(d x +c \right) \ln \left(1-\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) a \,b^{2}}{d}-\frac{6 \polylog \left(2, -\frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) a \,b^{2}}{d}-\frac{6 \polylog \left(2, \frac{1}{\sqrt{\frac{d x +c -1}{d x +c +1}}}\right) a \,b^{2}}{d}+3 \,\mathrm{arccoth}\left(d x +c \right) x \,a^{2} b +\frac{3 \,\mathrm{arccoth}\left(d x +c \right) a^{2} b c}{d}+\frac{3 a^{2} b \ln \left(\left(d x +c \right)^{2}-1\right)}{2 d}"," ",0,"a^3*x+1/d*a^3*c+arccoth(d*x+c)^3*x*b^3+1/d*arccoth(d*x+c)^3*b^3*c+1/d*b^3*arccoth(d*x+c)^3-3/d*arccoth(d*x+c)^2*ln(1+1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^3-3/d*arccoth(d*x+c)^2*ln(1-1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^3-6/d*arccoth(d*x+c)*polylog(2,-1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^3-6/d*arccoth(d*x+c)*polylog(2,1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^3+6/d*polylog(3,-1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^3+6/d*polylog(3,1/((d*x+c-1)/(d*x+c+1))^(1/2))*b^3+3*arccoth(d*x+c)^2*x*a*b^2+3/d*arccoth(d*x+c)^2*a*b^2*c+3/d*a*b^2*arccoth(d*x+c)^2-6/d*arccoth(d*x+c)*ln(1+1/((d*x+c-1)/(d*x+c+1))^(1/2))*a*b^2-6/d*arccoth(d*x+c)*ln(1-1/((d*x+c-1)/(d*x+c+1))^(1/2))*a*b^2-6/d*polylog(2,-1/((d*x+c-1)/(d*x+c+1))^(1/2))*a*b^2-6/d*polylog(2,1/((d*x+c-1)/(d*x+c+1))^(1/2))*a*b^2+3*arccoth(d*x+c)*x*a^2*b+3/d*arccoth(d*x+c)*a^2*b*c+3/2/d*a^2*b*ln((d*x+c)^2-1)","B"
117,1,3796,296,1.546000," ","int((a+b*arccoth(d*x+c))^3/(f*x+e),x)","\text{output too large to display}"," ",0,"6*a*b^2/f*polylog(3,-1/((d*x+c-1)/(d*x+c+1))^(1/2))+3/2*a*b^2/(c*f-d*e-f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3/4*b^3*c/(c*f-d*e-f)*polylog(4,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+6*a*b^2/f*polylog(3,1/((d*x+c-1)/(d*x+c+1))^(1/2))+3/2*b^3/(c*f-d*e-f)*arccoth(d*x+c)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3/2*b^3/(c*f-d*e-f)*arccoth(d*x+c)^2*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*b^3/f*arccoth(d*x+c)^2*polylog(2,-1/((d*x+c-1)/(d*x+c+1))^(1/2))-b^3/f*arccoth(d*x+c)^3*ln(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)+b^3/f*arccoth(d*x+c)^3*ln((d*x+c+1)/(d*x+c-1)-1)+6*b^3/f*arccoth(d*x+c)*polylog(3,-1/((d*x+c-1)/(d*x+c+1))^(1/2))-b^3/f*arccoth(d*x+c)^3*ln(1-1/((d*x+c-1)/(d*x+c+1))^(1/2))-b^3/f*arccoth(d*x+c)^3*ln(1+1/((d*x+c-1)/(d*x+c+1))^(1/2))-3*b^3/f*arccoth(d*x+c)^2*polylog(2,1/((d*x+c-1)/(d*x+c+1))^(1/2))+6*b^3/f*arccoth(d*x+c)*polylog(3,1/((d*x+c-1)/(d*x+c+1))^(1/2))+b^3*ln((d*x+c)*f-c*f+d*e)/f*arccoth(d*x+c)^3-b^3/(c*f-d*e-f)*arccoth(d*x+c)^3*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3/2*a^2*b/f*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f-f)/(c*f-d*e-f))-3/2*a^2*b/f*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f+f)/(c*f-d*e+f))-6*b^3/f*polylog(4,1/((d*x+c-1)/(d*x+c+1))^(1/2))-6*b^3/f*polylog(4,-1/((d*x+c-1)/(d*x+c+1))^(1/2))-3/4*b^3/(c*f-d*e-f)*polylog(4,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+a^3*ln((d*x+c)*f-c*f+d*e)/f+3/2*a^2*b/f*dilog(((d*x+c)*f-f)/(c*f-d*e-f))-3/2*a^2*b/f*dilog(((d*x+c)*f+f)/(c*f-d*e+f))+3/2*d*b^3/f*e/(c*f-d*e-f)*arccoth(d*x+c)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3/2*d*b^3/f*e/(c*f-d*e-f)*arccoth(d*x+c)^2*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-d*b^3/f*e/(c*f-d*e-f)*arccoth(d*x+c)^3*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3/2*d*a*b^2/f*e/(c*f-d*e-f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-1/2*I*b^3/f*Pi*arccoth(d*x+c)^3*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2-1/2*I*b^3/f*Pi*arccoth(d*x+c)^3*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2-3/2*b^3*c/(c*f-d*e-f)*arccoth(d*x+c)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3/2*b^3*c/(c*f-d*e-f)*arccoth(d*x+c)^2*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+b^3*c/(c*f-d*e-f)*arccoth(d*x+c)^3*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3*a*b^2*ln((d*x+c)*f-c*f+d*e)/f*arccoth(d*x+c)^2-I*b^3/f*Pi*arccoth(d*x+c)^3-3/2*a*b^2*c/(c*f-d*e-f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*a*b^2/f*arccoth(d*x+c)^2*ln(1+1/((d*x+c-1)/(d*x+c+1))^(1/2))-6*a*b^2/f*arccoth(d*x+c)*polylog(2,-1/((d*x+c-1)/(d*x+c+1))^(1/2))-3*a*b^2/f*arccoth(d*x+c)^2*ln(1-1/((d*x+c-1)/(d*x+c+1))^(1/2))-6*a*b^2/f*arccoth(d*x+c)*polylog(2,1/((d*x+c-1)/(d*x+c+1))^(1/2))+3*a*b^2/f*arccoth(d*x+c)^2*ln((d*x+c+1)/(d*x+c-1)-1)-3*a*b^2/(c*f-d*e-f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*a*b^2/(c*f-d*e-f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*a*b^2/f*arccoth(d*x+c)^2*ln(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)+3*a^2*b*ln((d*x+c)*f-c*f+d*e)/f*arccoth(d*x+c)-3*d*a*b^2/f*e/(c*f-d*e-f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*d*a*b^2/f*e/(c*f-d*e-f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+1/2*I*b^3/f*Pi*arccoth(d*x+c)^3*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))-3/2*I*a*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2-3/2*I*a*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2+3/2*I*a*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))-3/2*I*a*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^3+3*I*a*b^2/f*Pi*arccoth(d*x+c)^2*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2+I*b^3/f*Pi*arccoth(d*x+c)^3*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2+3*a*b^2*c/(c*f-d*e-f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3*a*b^2*c/(c*f-d*e-f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3/4*d*b^3/f*e/(c*f-d*e-f)*polylog(4,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-1/2*I*b^3/f*Pi*arccoth(d*x+c)^3*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^3-3*I*a*b^2/f*Pi*arccoth(d*x+c)^2","C"
118,1,4619,1077,1.316000," ","int((a+b*arccoth(d*x+c))^3/(f*x+e)^2,x)","\text{output too large to display}"," ",0,"-3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I*(d*x+c+1)/(d*x+c-1))*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))-3/4*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I*(d*x+c+1)/(d*x+c-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^2-3/2*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I/((d*x+c-1)/(d*x+c+1))^(1/2))*csgn(I*(d*x+c+1)/(d*x+c-1))^2-3/4*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^2+3/4*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I/((d*x+c-1)/(d*x+c+1))^(1/2))^2*csgn(I*(d*x+c+1)/(d*x+c-1))-d*a^3/(d*f*x+d*e)/f+3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I/((d*x+c-1)/(d*x+c+1))^(1/2))^2*csgn(I*(d*x+c+1)/(d*x+c-1))+3/2*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2-3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(d*x+c+1)/(d*x+c-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^2-3/2*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I/((d*x+c-1)/(d*x+c+1))^(1/2))*csgn(I*(d*x+c+1)/(d*x+c-1))^2-3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^2+3/2*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2-3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I*(d*x+c+1)/(d*x+c-1))^3-3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^3+3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(d*x+c+1)/(d*x+c-1))*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))+3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I*(d*x+c+1)/(d*x+c-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^2-3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I/((d*x+c-1)/(d*x+c+1))^(1/2))^2*csgn(I*(d*x+c+1)/(d*x+c-1))+3/4*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I*(d*x+c+1)/(d*x+c-1))^3+3/2*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I/((d*x+c-1)/(d*x+c+1))^(1/2))*csgn(I*(d*x+c+1)/(d*x+c-1))^2+3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*c*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^2-3/2*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f))*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))+3/4*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^3-3*d*a*b^2/(c*f-d*e-f)/(c*f-d*e+f)*dilog(((d*x+c)*f-f)/(c*f-d*e-f))+3/4*d*a*b^2/f/(c*f-d*e-f)*ln(d*x+c-1)^2-3/2*d*a*b^2/f/(c*f-d*e-f)*dilog(1/2+1/2*d*x+1/2*c)+3/4*d*a*b^2/f/(c*f-d*e+f)*ln(d*x+c+1)^2+3/2*d*a*b^2/f/(c*f-d*e+f)*dilog(1/2+1/2*d*x+1/2*c)-3/2*d*b^3*f/(c*f-d*e-f)^2/(c*f-d*e+f)*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3/4*I*d^2*b^3/f/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*e*csgn(I*(d*x+c+1)/(d*x+c-1))*csgn(I/((d*x+c+1)/(d*x+c-1)-1))*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))-3/2*d*a*b^2/f/(c*f-d*e-f)*ln(d*x+c-1)*ln(1/2+1/2*d*x+1/2*c)-3/2*d*a*b^2/f/(c*f-d*e+f)*ln(-1/2*d*x-1/2*c+1/2)*ln(d*x+c+1)+3/2*d*a*b^2/f/(c*f-d*e+f)*ln(-1/2*d*x-1/2*c+1/2)*ln(1/2+1/2*d*x+1/2*c)+3*d^2*b^3/(c*f-d*e-f)^2/(c*f-d*e+f)*e*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3*d^2*b^3/(c*f-d*e-f)^2/(c*f-d*e+f)*e*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3*d*b^3*f/(c*f-d*e-f)^2/(c*f-d*e+f)*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3*d*b^3*f/(c*f-d*e-f)^2/(c*f-d*e+f)*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi+3/2*d*b^3*f/(c*f-d*e-f)^2/(c*f-d*e+f)*c*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-6*d*a*b^2*arccoth(d*x+c)/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)-3/2*d^2*b^3/(c*f-d*e-f)^2/(c*f-d*e+f)*e*polylog(3,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*ln(2)-3*d*a^2*b/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)+3*d*a^2*b/f/(2*c*f-2*d*e-2*f)*ln(d*x+c-1)-3*d*a^2*b/f/(2*c*f-2*d*e+2*f)*ln(d*x+c+1)+3*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*ln(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)-3/2*d*b^3/f*arccoth(d*x+c)^2/(c*f-d*e+f)*ln((d*x+c-1)/(d*x+c+1))+3*d*b^3/f*arccoth(d*x+c)^2/(2*c*f-2*d*e-2*f)*ln(d*x+c-1)-3*d*b^3/f*arccoth(d*x+c)^2/(2*c*f-2*d*e+2*f)*ln(d*x+c+1)-3*d*b^3*arccoth(d*x+c)^2/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)-3*d*a*b^2/(d*f*x+d*e)/f*arccoth(d*x+c)^2-3*d*a^2*b/(d*f*x+d*e)/f*arccoth(d*x+c)+3*d*a*b^2/(c*f-d*e-f)/(c*f-d*e+f)*dilog(((d*x+c)*f+f)/(c*f-d*e+f))+6*d*a*b^2/f*arccoth(d*x+c)/(2*c*f-2*d*e-2*f)*ln(d*x+c-1)-6*d*a*b^2/f*arccoth(d*x+c)/(2*c*f-2*d*e+2*f)*ln(d*x+c+1)+3*d*a*b^2/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f+f)/(c*f-d*e+f))-3*d*a*b^2/(c*f-d*e-f)/(c*f-d*e+f)*ln((d*x+c)*f-c*f+d*e)*ln(((d*x+c)*f-f)/(c*f-d*e-f))-d*b^3/(d*f*x+d*e)/f*arccoth(d*x+c)^3-d*b^3/f*arccoth(d*x+c)^3/(c*f-d*e+f)-3*d*b^3*f/(c*f-d*e-f)^2/(c*f-d*e+f)*c*arccoth(d*x+c)^2*ln(1-(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))-3*d*b^3*f/(c*f-d*e-f)^2/(c*f-d*e+f)*c*arccoth(d*x+c)*polylog(2,(c*f-d*e-f)*(d*x+c+1)/(d*x+c-1)/(c*f-d*e+f))+3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(d*x+c+1)/(d*x+c-1)/((d*x+c+1)/(d*x+c-1)-1))^3-3*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^2+3/2*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(((d*x+c+1)/(d*x+c-1)-1)*c*f+(1-(d*x+c+1)/(d*x+c-1))*e*d+(-(d*x+c+1)/(d*x+c-1)-1)*f)/((d*x+c+1)/(d*x+c-1)-1))^3+3/4*I*d*b^3/(c*f-d*e-f)/(c*f-d*e+f)*arccoth(d*x+c)^2*Pi*csgn(I*(d*x+c+1)/(d*x+c-1))^3","C"
119,0,0,162,1.926000," ","int((f*x+e)^m*(a+b*arccoth(d*x+c)),x)","\int \left(f x +e \right)^{m} \left(a +b \,\mathrm{arccoth}\left(d x +c \right)\right)\, dx"," ",0,"int((f*x+e)^m*(a+b*arccoth(d*x+c)),x)","F"
120,0,0,22,1.793000," ","int((f*x+e)^m*(a+b*arccoth(d*x+c))^2,x)","\int \left(f x +e \right)^{m} \left(a +b \,\mathrm{arccoth}\left(d x +c \right)\right)^{2}\, dx"," ",0,"int((f*x+e)^m*(a+b*arccoth(d*x+c))^2,x)","F"
121,0,0,22,2.065000," ","int((f*x+e)^m*(a+b*arccoth(d*x+c))^3,x)","\int \left(f x +e \right)^{m} \left(a +b \,\mathrm{arccoth}\left(d x +c \right)\right)^{3}\, dx"," ",0,"int((f*x+e)^m*(a+b*arccoth(d*x+c))^3,x)","F"
122,0,0,38,1.025000," ","int((a+b*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)^{n}}{-c^{2} x^{2}+1}\, dx"," ",0,"int((a+b*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x)","F"
123,1,1492,388,1.674000," ","int((a+b*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x)","\frac{3 a \,b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{6 a \,b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{3 a \,b^{2} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{c}+\frac{3 a \,b^{2} \polylog \left(3, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{2 c}-\frac{6 a \,b^{2} \polylog \left(3, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{6 a \,b^{2} \polylog \left(3, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{3 b^{3} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{2 c}+\frac{3 b^{3} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{2 c}+\frac{3 a^{2} b \dilog \left(\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}\right)}{c}-\frac{3 a^{2} b \dilog \left(\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1\right)^{2}}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}\right)}{4 c}+\frac{3 b^{3} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \polylog \left(2, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{6 b^{3} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(3, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{3 b^{3} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \polylog \left(2, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{6 b^{3} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(3, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{a^{3} \ln \left(c x +1\right)}{2 c}-\frac{a^{3} \ln \left(c x -1\right)}{2 c}+\frac{3 a \,b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{3 a \,b^{2} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{c}+\frac{6 a \,b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{3 b^{3} \polylog \left(4, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{4 c}+\frac{6 b^{3} \polylog \left(4, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{6 b^{3} \polylog \left(4, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{b^{3} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{c}+\frac{b^{3} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3} \ln \left(1-\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{b^{3} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3} \ln \left(1+\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}"," ",0,"3*a*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+6*a*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-3/4*b^3/c*polylog(4,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))+6*b^3/c*polylog(4,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+6*b^3/c*polylog(4,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+1/2*a^3/c*ln(c*x+1)-1/2*a^3/c*ln(c*x-1)+3*a*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+6*a*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-3*a*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-3*a*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))+3/2*a*b^2/c*polylog(3,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-6*a*b^2/c*polylog(3,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-6*a*b^2/c*polylog(3,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1+1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-3/2*b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))+3/2*b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))+b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+3*a^2*b/c*dilog(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-3/4*a^2*b/c*dilog(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)^2/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2)+3*b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-6*b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1+1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+3*b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-6*b^3/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))","B"
124,1,696,258,0.727000," ","int((a+b*arccoth((-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} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{2 b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{2 b^{2} \polylog \left(3, -\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1-\frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}+\frac{2 b^{2} \mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{2 b^{2} \polylog \left(3, \frac{1}{\sqrt{\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}}}\right)}{c}-\frac{b^{2} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{c}-\frac{b^{2} \mathrm{arccoth}\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}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{c}+\frac{b^{2} \polylog \left(3, -\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}\right)}{2 c}+\frac{2 a b \dilog \left(\frac{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}\right)}{c}-\frac{a b \dilog \left(\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1\right)^{2}}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}\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*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+2*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-2*b^2/c*polylog(3,-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1-1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))+2*b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-2*b^2/c*polylog(3,1/(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))^(1/2))-b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-b^2/c*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))+1/2*b^2/c*polylog(3,-1/((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)*((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))+2*a*b/c*dilog(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-1/2*a*b/c*dilog(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)^2/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2)","B"
125,1,119,73,0.721000," ","int((a+b*arccoth((-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{\sqrt{-c x +1}}{\sqrt{c x +1}}-1}{\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1}\right)}{c}-\frac{b \dilog \left(\frac{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}-1\right)^{2}}{\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+1\right)^{2}}\right)}{4 c}"," ",0,"1/2*a/c*ln(c*x+1)-1/2*a/c*ln(c*x-1)+b/c*dilog(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1))-1/4*b/c*dilog(((-c*x+1)^(1/2)/(c*x+1)^(1/2)-1)^2/((-c*x+1)^(1/2)/(c*x+1)^(1/2)+1)^2)","A"
126,0,0,38,0.988000," ","int(1/(-c^2*x^2+1)/(a+b*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x)","\int \frac{1}{\left(-c^{2} x^{2}+1\right) \left(a +b \,\mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)}\, dx"," ",0,"int(1/(-c^2*x^2+1)/(a+b*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x)","F"
127,0,0,38,1.073000," ","int(1/(-c^2*x^2+1)/(a+b*arccoth((-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 \,\mathrm{arccoth}\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)^{2}}\, dx"," ",0,"int(1/(-c^2*x^2+1)/(a+b*arccoth((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x)","F"
128,1,676,37,0.165000," ","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(-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}-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 +4 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+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 -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 +4 i \pi +2 i \pi  m +2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3} 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 -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 +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 -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}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3} m -4 i \pi  \mathrm{csgn}\left(\frac{i}{{\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}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}-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(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)+4 b x +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)-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(i {\mathrm e}^{2 b x +2 a}\right)^{3}\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*(-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-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+4*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+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-2*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*m+4*I*Pi+2*I*Pi*m+2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3*m+I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*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+I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*m-4*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+I*Pi*csgn(I*exp(2*b*x+2*a))^3*m-4*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+2*I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2*m+2*I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+4*b*x+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))-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))^3)/(1+m)/(2+m)*x^m","C"
129,1,59,19,0.383000," ","int(x^2*arccoth(tanh(b*x+a)),x)","\frac{x^{3} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}{3}+\frac{-\frac{\left(b x +a \right)^{4}}{4}+\left(b x +a \right)^{3} a -\frac{3 a^{2} \left(b x +a \right)^{2}}{2}+\left(b x +a \right) a^{3}}{3 b^{3}}"," ",0,"1/3*x^3*arccoth(tanh(b*x+a))+1/3/b^3*(-1/4*(b*x+a)^4+(b*x+a)^3*a-3/2*a^2*(b*x+a)^2+(b*x+a)*a^3)","B"
130,1,48,19,0.382000," ","int(x*arccoth(tanh(b*x+a)),x)","\frac{x^{2} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}{2}+\frac{-\frac{\left(b x +a \right)^{3}}{3}+\left(b x +a \right)^{2} a -a^{2} \left(b x +a \right)}{2 b^{2}}"," ",0,"1/2*x^2*arccoth(tanh(b*x+a))+1/2/b^2*(-1/3*(b*x+a)^3+(b*x+a)^2*a-a^2*(b*x+a))","B"
131,1,32,14,0.057000," ","int(arccoth(tanh(b*x+a)),x)","\frac{\arctanh \left(\tanh \left(b x +a \right)\right) \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)-\frac{\arctanh \left(\tanh \left(b x +a \right)\right)^{2}}{2}}{b}"," ",0,"1/b*(arctanh(tanh(b*x+a))*arccoth(tanh(b*x+a))-1/2*arctanh(tanh(b*x+a))^2)","B"
132,1,354,21,0.425000," ","int(arccoth(tanh(b*x+a))/x,x)","\ln \left(x \right) \ln \left({\mathrm e}^{b x +a}\right)-\ln \left(x \right) x b +b x -\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{2}+\frac{i \ln \left(x \right) \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}}{4}+\frac{i \ln \left(x \right) \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}}{4}-\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{4}-\frac{i \pi  \ln \left(x \right)}{2}-\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{4}+\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{2}+\frac{i \ln \left(x \right) \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{2}-\frac{i \ln \left(x \right) \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{4}-\frac{i \ln \left(x \right) \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}"," ",0,"ln(x)*ln(exp(b*x+a))-ln(x)*x*b+b*x-1/2*I*ln(x)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+1/4*I*ln(x)*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+1/4*I*ln(x)*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*I*ln(x)*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/2*I*Pi*ln(x)-1/4*I*ln(x)*Pi*csgn(I*exp(2*b*x+2*a))^3+1/2*I*ln(x)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+1/2*I*ln(x)*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/4*I*ln(x)*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/4*I*ln(x)*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"
133,1,20,17,0.378000," ","int(arccoth(tanh(b*x+a))/x^2,x)","-\frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}{x}+b \ln \left(b x \right)"," ",0,"-arccoth(tanh(b*x+a))/x+b*ln(b*x)","A"
134,1,20,19,0.387000," ","int(arccoth(tanh(b*x+a))/x^3,x)","-\frac{b}{2 x}-\frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}{2 x^{2}}"," ",0,"-1/2*b/x-1/2*arccoth(tanh(b*x+a))/x^2","A"
135,1,20,19,0.397000," ","int(arccoth(tanh(b*x+a))/x^4,x)","-\frac{b}{6 x^{2}}-\frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}{3 x^{3}}"," ",0,"-1/6*b/x^2-1/3*arccoth(tanh(b*x+a))/x^3","A"
136,1,9175,71,1.002000," ","int(x^m*arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
137,1,3418,36,0.389000," ","int(x^3*arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"1/40*I*Pi*b*x^5*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*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*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*Pi^2*x^4*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^2-1/32*Pi^2*x^4*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/64*Pi^2*x^4*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/32*Pi^2*x^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5+1/8*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^5+1/8*csgn(I/(exp(2*b*x+2*a)+1))^2*Pi^2*x^4+(-1/10*b*x^5+1/8*I*Pi*x^4*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*Pi*x^4*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*I*Pi*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2-1/4*I*Pi*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3-1/4*I*Pi*x^4-1/8*I*Pi*x^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/4*I*Pi*x^4*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/8*I*Pi*x^4*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/8*I*Pi*x^4*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*Pi*x^4*csgn(I*exp(2*b*x+2*a))^3)*ln(exp(b*x+a))-1/16*csgn(I*exp(2*b*x+2*a))^3*Pi^2*x^4-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^6-1/8*csgn(I/(exp(2*b*x+2*a)+1))^3*Pi^2*x^4-1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))^3-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-1/64*Pi^2*x^4*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2+1/16*Pi^2*x^4*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3+1/8*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*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*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*Pi^2*x^4*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))^4-1/32*Pi^2*x^4*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-3/32*Pi^2*x^4*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4+1/16*Pi^2*x^4*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5+1/32*Pi^2*x^4*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*Pi^2*x^4*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*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*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/16*Pi^2*x^4*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/20*I*Pi*b*x^5*csgn(I/(exp(2*b*x+2*a)+1))^2+1/20*I*Pi*b*x^5*csgn(I/(exp(2*b*x+2*a)+1))^3-1/16*Pi^2*x^4-1/64*Pi^2*x^4*csgn(I*exp(2*b*x+2*a))^6-1/64*Pi^2*x^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6+1/4*x^4*ln(exp(b*x+a))^2-1/16*Pi^2*x^4*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))+1/20*I*Pi*b*x^5-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/32*Pi^2*x^4*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/40*I*Pi*b*x^5*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+1/40*I*Pi*b*x^5*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/20*I*Pi*b*x^5*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/40*I*Pi*b*x^5*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*csgn(I/(exp(2*b*x+2*a)+1))^4*Pi^2*x^4-1/16*Pi^2*x^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/64*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/60*b^2*x^6+1/16*Pi^2*x^4*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*x^4*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/16*Pi^2*x^4*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*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/64*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/32*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/16*Pi^2*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/40*I*Pi*b*x^5*csgn(I*exp(2*b*x+2*a))^3+1/40*I*Pi*b*x^5*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3","C"
138,1,3418,36,0.388000," ","int(x^2*arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"-1/6*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3-1/48*Pi^2*x^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6-1/48*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))^6-1/24*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/24*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-1/12*csgn(I*exp(2*b*x+2*a))^3*Pi^2*x^3+1/6*csgn(I/(exp(2*b*x+2*a)+1))^2*Pi^2*x^3-1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^6-1/48*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/12*Pi^2*x^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^2-1/12*I*Pi*b*x^4*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/24*I*Pi*b*x^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/24*I*Pi*b*x^4*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*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*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^3+1/24*I*Pi*b*x^4*csgn(I*exp(2*b*x+2*a))^3+1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/12*I*Pi*b*x^4*csgn(I/(exp(2*b*x+2*a)+1))^2+1/12*I*Pi*b*x^4*csgn(I/(exp(2*b*x+2*a)+1))^3-1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^4*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*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3*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*Pi^2*x^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^4+1/12*I*Pi*b*x^4+1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/6*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^5+1/24*Pi^2*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/12*Pi^2*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/6*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/30*b^2*x^5+1/24*I*Pi*b*x^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/6*Pi^2*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^2-1/12*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^2-1/12*Pi^2*x^3*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+1/24*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/12*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^3-1/48*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/24*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-1/48*Pi^2*x^3*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2+1/12*Pi^2*x^3*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3-1/8*Pi^2*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4+1/12*Pi^2*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5+1/12*Pi^2*x^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/48*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/6*Pi^2*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/12*Pi^2*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/12*Pi^2*x^3*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*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/12*Pi^2*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/24*I*Pi*b*x^4*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/12*Pi^2*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/24*Pi^2*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/12*Pi^2*x^3*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*Pi^2*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)+1))^2-1/12*Pi^2*x^3+1/3*x^3*ln(exp(b*x+a))^2+1/24*I*Pi*b*x^4*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))+(-1/6*b*x^4+1/3*I*Pi*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/6*I*Pi*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/6*I*Pi*x^3*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))-1/3*I*Pi*x^3+1/6*I*Pi*x^3*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/3*I*Pi*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3+1/6*I*Pi*x^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/6*I*Pi*x^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/3*I*Pi*x^3*csgn(I/(exp(2*b*x+2*a)+1))^2-1/6*I*Pi*x^3*csgn(I*exp(2*b*x+2*a))^3)*ln(exp(b*x+a))","C"
139,1,3418,30,0.395000," ","int(x*arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"1/12*I*Pi*b*x^3*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*Pi^2*x^2*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+1/16*Pi^2*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/4*Pi^2*x^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^3-1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2*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*Pi*b*x^3*csgn(I*exp(2*b*x+2*a))^3-1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*x^2*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*csgn(I/(exp(2*b*x+2*a)+1))^4*Pi^2*x^2-1/16*Pi^2*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/8*Pi^2*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)+1))^3-1/8*Pi^2*x^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^3-1/32*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4-1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+1/12*I*Pi*b*x^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/16*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5+1/8*Pi^2*x^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5+1/16*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/32*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*x^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/6*I*Pi*b*x^3*csgn(I/(exp(2*b*x+2*a)+1))^2+1/4*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^5-1/8*Pi^2*x^2+1/2*x^2*ln(exp(b*x+a))^2+(-1/3*b*x^3-1/2*I*Pi*x^2+1/4*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/4*I*Pi*x^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/2*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*x^2*csgn(I/(exp(2*b*x+2*a)+1))^3+1/2*I*Pi*x^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/4*I*Pi*x^2*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))-1/4*I*Pi*x^2*csgn(I*exp(2*b*x+2*a))^3-1/4*I*Pi*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/4*I*Pi*x^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2)*ln(exp(b*x+a))-1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^6-1/32*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^6-1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a))^3+1/4*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2-1/4*csgn(I/(exp(2*b*x+2*a)+1))^3*Pi^2*x^2-1/8*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*Pi^2*x^2-1/8*Pi^2*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/32*Pi^2*x^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6-1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/6*I*Pi*b*x^3*csgn(I/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/4*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-3/16*Pi^2*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4-1/32*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/8*Pi^2*x^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^2-1/12*I*Pi*b*x^3*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*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/32*Pi^2*x^2*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2+1/8*Pi^2*x^2*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3+1/6*I*Pi*b*x^3+1/8*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))^3*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*Pi^2*x^2*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*b^2*x^4+1/8*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*Pi^2*x^2+1/4*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(b*x+a))*Pi^2*x^2-1/12*I*Pi*b*x^3*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*Pi*b*x^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/6*I*Pi*b*x^3*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/16*Pi^2*x^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2","C"
140,1,15,14,0.092000," ","int(arccoth(tanh(b*x+a))^2,x)","\frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{3}}{3 b}"," ",0,"1/3*arccoth(tanh(b*x+a))^3/b","A"
141,1,3774,47,0.331000," ","int(arccoth(tanh(b*x+a))^2/x,x)","\text{output too large to display}"," ",0,"-3/2*b^2*x^2+ln(x)*ln(exp(b*x+a))^2-1/2*I*Pi*b*x*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*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/8*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/8*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))^3+1/4*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+1/4*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+1/4*Pi^2*ln(x)*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5+1/8*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-3/8*Pi^2*ln(x)*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4-1/16*Pi^2*ln(x)*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2+1/4*Pi^2*ln(x)*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3-1/16*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*x*b*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/4*Pi^2*ln(x)*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)+1))^3-1/4*Pi^2*ln(x)*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(b*x+a))^2*Pi^2*ln(x)+1/2*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^5-I*Pi*ln(x)*ln(exp(b*x+a))-I*Pi*x*b-1/2*I*Pi*ln(x)*ln(exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3-1/2*I*Pi*ln(x)*ln(exp(b*x+a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/8*Pi^2*ln(x)*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/16*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))^6-1/16*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6-1/4*csgn(I*exp(2*b*x+2*a))^3*Pi^2*ln(x)+1/4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*Pi^2*ln(x)+1/2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(b*x+a))*Pi^2*ln(x)-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/2*I*Pi*ln(x)*ln(exp(b*x+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))^2-1/2*I*Pi*ln(x)*ln(exp(b*x+a))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/4*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/2*csgn(I/(exp(2*b*x+2*a)+1))^2*Pi^2*ln(x)-1/4*Pi^2*ln(x)-2*b*ln(x)*ln(exp(b*x+a))*x-1/2*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^3-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^4-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^6+b^2*x^2*ln(x)+2*b*ln(exp(b*x+a))*x+1/2*I*Pi*ln(x)*x*b*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))-1/2*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+I*Pi*ln(x)*x*b-1/4*Pi^2*ln(x)*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*Pi^2*ln(x)*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-I*Pi*x*b*csgn(I/(exp(2*b*x+2*a)+1))^3-I*Pi*ln(x)*x*b*csgn(I/(exp(2*b*x+2*a)+1))^2+1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/4*Pi^2*ln(x)*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+I*Pi*ln(x)*x*b*csgn(I/(exp(2*b*x+2*a)+1))^3-I*Pi*ln(x)*x*b*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+I*Pi*ln(x)*ln(exp(b*x+a))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+I*Pi*x*b*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/2*I*Pi*ln(x)*x*b*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-1/2*I*Pi*x*b*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+1/2*Pi^2*ln(x)*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^3-1/8*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-I*Pi*ln(x)*ln(exp(b*x+a))*csgn(I/(exp(2*b*x+2*a)+1))^3+I*Pi*ln(x)*ln(exp(b*x+a))*csgn(I/(exp(2*b*x+2*a)+1))^2+I*Pi*x*b*csgn(I/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*x*b*csgn(I*exp(2*b*x+2*a))^3+1/2*I*Pi*ln(x)*ln(exp(b*x+a))*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*I*Pi*x*b*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*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/4*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^2*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*Pi^2*ln(x)*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/8*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/16*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*ln(x)*ln(exp(b*x+a))*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))+1/2*I*Pi*ln(x)*x*b*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/4*Pi^2*ln(x)*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+1/2*I*Pi*ln(x)*x*b*csgn(I*exp(2*b*x+2*a))^3+1/8*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*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*Pi^2*ln(x)*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-1/2*I*Pi*ln(x)*x*b*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*ln(x)*x*b*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2","C"
142,1,1095,39,0.269000," ","int(arccoth(tanh(b*x+a))^2/x^2,x)","2 b^{2} x -\frac{\ln \left({\mathrm e}^{b x +a}\right)^{2}}{x}-2 \ln \left(x \right) x \,b^{2}+2 \ln \left(x \right) \ln \left({\mathrm e}^{b x +a}\right) b +\frac{\pi^{2} \left(-2 \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+\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)-\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 \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)-2 \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}+\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}-\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}+\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2\right)^{2}}{16 x}+\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right)}{x}-i \pi  \ln \left(x \right) b -\frac{i \pi  \ln \left(x \right) b \,\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)}{2}+\frac{i \pi  \ln \left(x \right) b \,\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}-\frac{i \pi  \ln \left(x \right) b \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{2}-\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\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)^{2}}{2 x}+\frac{i \pi  \ln \left(x \right) b \,\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}-\frac{i \pi  \ln \left({\mathrm e}^{b x +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)^{2}}{2 x}+\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \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)}{2 x}+\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{2 x}+\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{2 x}-i \pi  \ln \left(x \right) b \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{x}-\frac{i \pi  \ln \left(x \right) b \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{2}-\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}}{x}+i \pi  \ln \left(x \right) b \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}-\frac{i \pi  \ln \left(x \right) b \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{2}-\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}}{x}+\frac{i \pi  \ln \left({\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)}{2 x}+i \pi  \ln \left(x \right) b \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}"," ",0,"2*b^2*x-I*Pi*ln(exp(b*x+a))/x*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/2*I*Pi*ln(exp(b*x+a))/x*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+I*Pi*ln(x)*b*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+I*Pi*ln(exp(b*x+a))/x-1/x*ln(exp(b*x+a))^2+1/2*I*Pi*ln(x)*b*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*ln(x)*b*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/2*I*Pi*ln(exp(b*x+a))/x*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*ln(x)*x*b^2+2*ln(x)*ln(exp(b*x+a))*b+1/2*I*Pi*ln(x)*b*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*I*Pi*ln(exp(b*x+a))/x*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*ln(x)*b*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))-I*Pi*ln(x)*b+1/2*I*Pi*ln(exp(b*x+a))/x*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*Pi^2*(-2*csgn(I/(exp(2*b*x+2*a)+1))^2+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))-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*csgn(I/(exp(2*b*x+2*a)+1))^3+csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+csgn(I*exp(2*b*x+2*a))^3-csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2)^2/x+1/2*I*Pi*ln(exp(b*x+a))/x*csgn(I*exp(2*b*x+2*a))^3+1/2*I*Pi*ln(exp(b*x+a))/x*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-I*Pi*ln(x)*b*csgn(I/(exp(2*b*x+2*a)+1))^3+I*Pi*ln(exp(b*x+a))/x*csgn(I/(exp(2*b*x+2*a)+1))^3-1/2*I*Pi*ln(x)*b*csgn(I*exp(2*b*x+2*a))^3-I*Pi*ln(exp(b*x+a))/x*csgn(I/(exp(2*b*x+2*a)+1))^2+I*Pi*ln(x)*b*csgn(I/(exp(2*b*x+2*a)+1))^2-1/2*I*Pi*ln(x)*b*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3","C"
143,1,3213,34,0.431000," ","int(arccoth(tanh(b*x+a))^2/x^3,x)","\text{output too large to display}"," ",0,"-1/2/x^2*ln(exp(b*x+a))^2-1/4*(4*b*x+2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))^2-2*I*Pi-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)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^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))+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-I*Pi*csgn(I*exp(2*b*x+2*a))^3-2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3)/x^2*ln(exp(b*x+a))+1/32*(4*Pi^2-16*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))^2+16*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))^3-4*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5-8*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^5-4*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+Pi^2*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2-4*Pi^2*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3+4*csgn(I*exp(2*b*x+2*a))^3*Pi^2+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^6-8*csgn(I/(exp(2*b*x+2*a)+1))^2*Pi^2+4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*Pi^2+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+Pi^2*csgn(I*exp(2*b*x+2*a))^6+Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6-8*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-4*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^2-4*Pi^2*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+8*I*Pi*x*b*csgn(I*exp(2*b*x+2*a))^3+8*I*Pi*x*b*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-2*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5+4*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+32*b^2*x^2*ln(x)-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4+4*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3-4*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^2-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-8*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^3-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+4*Pi^2*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+4*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+6*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4+2*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4-2*Pi^2*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+8*I*Pi*b*x*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*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+16*I*Pi*x*b+2*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-8*I*Pi*b*x*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+8*csgn(I/(exp(2*b*x+2*a)+1))^3*Pi^2-4*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*Pi^2*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*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)+1))^2+4*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^2+8*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^2-2*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+4*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+8*I*Pi*b*x*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-8*I*Pi*b*x*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-16*I*Pi*b*x*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2)/x^2","C"
144,1,3217,29,0.388000," ","int(arccoth(tanh(b*x+a))^2/x^4,x)","\text{output too large to display}"," ",0,"-1/3/x^3*ln(exp(b*x+a))^2-1/6*(2*b*x-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+2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2-2*I*Pi-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)+1))*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))^3-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))+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-I*Pi*csgn(I*exp(2*b*x+2*a))^3)/x^3*ln(exp(b*x+a))-1/48*(-4*Pi^2+16*b^2*x^2+4*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5+8*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^5+4*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-Pi^2*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2+4*Pi^2*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3-4*csgn(I*exp(2*b*x+2*a))^3*Pi^2-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^6+8*csgn(I/(exp(2*b*x+2*a)+1))^2*Pi^2-4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*Pi^2-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-Pi^2*csgn(I*exp(2*b*x+2*a))^6-Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6+8*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+4*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+4*Pi^2*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*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-4*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^3-Pi^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4-8*I*Pi*x*b+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-4*I*Pi*x*b*csgn(I*exp(2*b*x+2*a))^3-4*I*Pi*x*b*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*I*Pi*b*x*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+8*I*Pi*b*x*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4-4*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+4*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+8*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+4*I*Pi*b*x*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+4*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-4*Pi^2*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+8*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))^2-8*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))^3-4*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-6*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4-2*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*I*Pi*b*x*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))-Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+2*Pi^2*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-8*csgn(I/(exp(2*b*x+2*a)+1))^3*Pi^2+4*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3-Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*Pi^2*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*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)+1))^2-4*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^2-8*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^2+2*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-4*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-2*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-4*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2)/x^3","C"
145,1,3217,60,0.387000," ","int(arccoth(tanh(b*x+a))^2/x^5,x)","\text{output too large to display}"," ",0,"-1/4/x^4*ln(exp(b*x+a))^2-1/24*(4*b*x-3*I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+6*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2-6*I*Pi-3*I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-6*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+3*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))^2-3*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))+6*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+3*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))^2-3*I*Pi*csgn(I*exp(2*b*x+2*a))^3)/x^4*ln(exp(b*x+a))-1/192*(-12*Pi^2+16*b^2*x^2+12*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^5+24*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^5+12*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-3*Pi^2*csgn(I*exp(b*x+a))^4*csgn(I*exp(2*b*x+2*a))^2+12*Pi^2*csgn(I*exp(b*x+a))^3*csgn(I*exp(2*b*x+2*a))^3-12*csgn(I*exp(2*b*x+2*a))^3*Pi^2-12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^6+24*csgn(I/(exp(2*b*x+2*a)+1))^2*Pi^2-12*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*Pi^2-6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))+12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-3*Pi^2*csgn(I*exp(2*b*x+2*a))^6-3*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^6+16*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))^2-16*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))^3+24*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+12*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+12*Pi^2*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+6*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-12*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I/(exp(2*b*x+2*a)+1))^3-3*Pi^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4-16*I*Pi*x*b+6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^5-12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4-12*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+12*Pi^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3*csgn(I/(exp(2*b*x+2*a)+1))^2+12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+24*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^3+6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-8*I*Pi*b*x*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+16*I*Pi*b*x*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+8*I*Pi*b*x*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+8*I*Pi*b*x*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-12*Pi^2*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))^4-8*I*Pi*x*b*csgn(I*exp(2*b*x+2*a))^3-8*I*Pi*x*b*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-12*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-18*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^4-6*Pi^2*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-8*I*Pi*b*x*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))-3*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^4+6*Pi^2*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^3*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-6*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+12*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^4*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-24*csgn(I/(exp(2*b*x+2*a)+1))^3*Pi^2+12*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^3-3*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-12*Pi^2*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))+12*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*csgn(I/(exp(2*b*x+2*a)+1))^2-12*Pi^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2*csgn(I/(exp(2*b*x+2*a)+1))^2-24*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I/(exp(2*b*x+2*a)+1))^2+6*Pi^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-12*Pi^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^3*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-6*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(2*b*x+2*a))^4*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))-12*Pi^2*csgn(I/(exp(2*b*x+2*a)+1))*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2)/x^4","C"
146,1,63382,110,9.364000," ","int(x^m*arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
147,1,18111,53,1.142000," ","int(x^4*arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
148,1,18111,53,1.281000," ","int(x^3*arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
149,1,18111,47,1.133000," ","int(x^2*arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
150,1,18111,30,1.128000," ","int(x*arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
151,1,15,14,0.092000," ","int(arccoth(tanh(b*x+a))^3,x)","\frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{4}}{4 b}"," ",0,"1/4*arccoth(tanh(b*x+a))^4/b","A"
152,1,21848,73,0.900000," ","int(arccoth(tanh(b*x+a))^3/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
153,1,7683,66,0.462000," ","int(arccoth(tanh(b*x+a))^3/x^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
154,1,7366,56,0.549000," ","int(arccoth(tanh(b*x+a))^3/x^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
155,1,17237,51,1.587000," ","int(arccoth(tanh(b*x+a))^3/x^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
156,1,17235,29,1.471000," ","int(arccoth(tanh(b*x+a))^3/x^5,x)","\text{output too large to display}"," ",0,"result too large to display","C"
157,1,17234,60,1.417000," ","int(arccoth(tanh(b*x+a))^3/x^6,x)","\text{output too large to display}"," ",0,"result too large to display","C"
158,0,0,55,0.981000," ","int(x^m/arccoth(tanh(b*x+a)),x)","\int \frac{x^{m}}{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}\, dx"," ",0,"int(x^m/arccoth(tanh(b*x+a)),x)","F"
159,1,130774,77,4.805000," ","int(x^3/arccoth(tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
160,1,28786,54,1.184000," ","int(x^2/arccoth(tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
161,1,4303,31,0.408000," ","int(x/arccoth(tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"x/b-1/2*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+1/4*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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))-1/4*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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+1/2*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+1/4*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/2*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/4*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(2*b*x+2*a))^3-1/4*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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*I/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+1/2*I*Pi*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)/b^2+1/b*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*x-1/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*ln(exp(b*x+a))","C"
162,1,13,12,0.071000," ","int(1/arccoth(tanh(b*x+a)),x)","\frac{\ln \left(\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)\right)}{b}"," ",0,"ln(arccoth(tanh(b*x+a)))/b","A"
163,1,972,44,10.105000," ","int(1/x/arccoth(tanh(b*x+a)),x)","\frac{4 i \ln \left(x \right)}{2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}-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}-\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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}-4 i b x -2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+4 i \ln \left({\mathrm e}^{b x +a}\right)+2 \pi}-\frac{4 i \ln \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{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}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+4 i \left(\ln \left({\mathrm e}^{b x +a}\right)-b x -a \right)+4 i b x +4 i a +2 \pi \right)}{2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}-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}-\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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}-4 i b x -2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+4 i \ln \left({\mathrm e}^{b x +a}\right)+2 \pi}"," ",0,"4*I/(2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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+Pi*csgn(I*exp(2*b*x+2*a))^3-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*I*b*x-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+4*I*ln(exp(b*x+a))+2*Pi)*ln(x)-4*I/(2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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+Pi*csgn(I*exp(2*b*x+2*a))^3-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3-4*I*b*x-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+4*I*ln(exp(b*x+a))+2*Pi)*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)","C"
164,-1,0,65,180.000000," ","int(1/x^2/arccoth(tanh(b*x+a)),x)","\int \frac{1}{x^{2} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}\, dx"," ",0,"int(1/x^2/arccoth(tanh(b*x+a)),x)","F"
165,-1,0,90,180.000000," ","int(1/x^3/arccoth(tanh(b*x+a)),x)","\int \frac{1}{x^{3} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}\, dx"," ",0,"int(1/x^3/arccoth(tanh(b*x+a)),x)","F"
166,0,0,67,2.949000," ","int(x^m/arccoth(tanh(b*x+a))^2,x)","\int \frac{x^{m}}{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{2}}\, dx"," ",0,"int(x^m/arccoth(tanh(b*x+a))^2,x)","F"
167,1,131085,96,5.951000," ","int(x^4/arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
168,1,29109,73,1.481000," ","int(x^3/arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
169,1,4626,50,0.480000," ","int(x^2/arccoth(tanh(b*x+a))^2,x)","\text{output too large to display}"," ",0,"-4*I*x^2/b/(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi+4*I*ln(exp(b*x+a)))+2*x/b^2-I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+1/2*I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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))-1/2*I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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+I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+1/2*I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+1/2*I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(2*b*x+2*a))^3-1/2*I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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*I/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+I/b^3*Pi*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)+2/b^2*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*x-2/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*ln(exp(b*x+a))","C"
170,1,625,28,0.273000," ","int(x/arccoth(tanh(b*x+a))^2,x)","-\frac{4 i x}{b \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{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}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2 \pi +4 i \ln \left({\mathrm e}^{b x +a}\right)\right)}+\frac{\ln \left(\ln \left({\mathrm e}^{b x +a}\right)-\frac{i \pi  \left(-2 \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+\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)-\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 \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)-2 \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}+\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}-\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}+\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2\right)}{4}\right)}{b^{2}}"," ",0,"-4*I*x/b/(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi+4*I*ln(exp(b*x+a)))+1/b^2*ln(ln(exp(b*x+a))-1/4*I*Pi*(-2*csgn(I/(exp(2*b*x+2*a)+1))^2+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))-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*csgn(I/(exp(2*b*x+2*a)+1))^3+csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+csgn(I*exp(2*b*x+2*a))^3-csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2))","C"
171,1,15,14,0.076000," ","int(1/arccoth(tanh(b*x+a))^2,x)","-\frac{1}{b \,\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)}"," ",0,"-1/b/arccoth(tanh(b*x+a))","A"
172,-1,0,70,180.000000," ","int(1/x/arccoth(tanh(b*x+a))^2,x)","\int \frac{1}{x \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{2}}\, dx"," ",0,"int(1/x/arccoth(tanh(b*x+a))^2,x)","F"
173,-1,0,102,180.000000," ","int(1/x^2/arccoth(tanh(b*x+a))^2,x)","\int \frac{1}{x^{2} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/arccoth(tanh(b*x+a))^2,x)","F"
174,-1,0,139,180.000000," ","int(1/x^3/arccoth(tanh(b*x+a))^2,x)","\int \frac{1}{x^{3} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{2}}\, dx"," ",0,"int(1/x^3/arccoth(tanh(b*x+a))^2,x)","F"
175,0,0,90,3.505000," ","int(x^m/arccoth(tanh(b*x+a))^3,x)","\int \frac{x^{m}}{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{3}}\, dx"," ",0,"int(x^m/arccoth(tanh(b*x+a))^3,x)","F"
176,1,29456,90,1.510000," ","int(x^4/arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
177,1,4977,67,0.782000," ","int(x^3/arccoth(tanh(b*x+a))^3,x)","\text{output too large to display}"," ",0,"-2*I*(-6*Pi*x^2*csgn(I/(exp(2*b*x+2*a)+1))^2+3*Pi*x^2*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))-3*Pi*x^2*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+6*Pi*x^2*csgn(I/(exp(2*b*x+2*a)+1))^3+3*Pi*x^2*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-6*Pi*x^2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+3*Pi*x^2*csgn(I*exp(2*b*x+2*a))^3-3*Pi*x^2*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+3*Pi*x^2*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*x^3*b+6*Pi*x^2+12*I*x^2*ln(exp(b*x+a)))/b^2/(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi+4*I*ln(exp(b*x+a)))^2+3*x/b^3-3/2*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2+3/4*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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))-3/4*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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+3/2*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+3/4*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-3/2*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+3/4*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(2*b*x+2*a))^3-3/4*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*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+3/4*I/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+3/2*I/b^4*Pi*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)+3/b^3*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*x-3/b^4*ln(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+4*I*(ln(exp(b*x+a))-b*x-a)+4*I*b*x+4*I*a+2*Pi)*ln(exp(b*x+a))","C"
178,1,952,45,0.294000," ","int(x^2/arccoth(tanh(b*x+a))^3,x)","-\frac{4 i \left(-2 \pi  x \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+\pi  x \,\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)-\pi  x \,\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 \pi  x \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+\pi  x \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)-2 \pi  x \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}+\pi  x \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}-\pi  x \,\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}+\pi  x \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2 i x^{2} b +2 \pi  x +4 i x \ln \left({\mathrm e}^{b x +a}\right)\right)}{b^{2} \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{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}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2 \pi +4 i \ln \left({\mathrm e}^{b x +a}\right)\right)^{2}}+\frac{\ln \left(\ln \left({\mathrm e}^{b x +a}\right)-\frac{i \pi  \left(-2 \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}+\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)-\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 \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)-2 \,\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{2}+\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}-\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}+\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2\right)}{4}\right)}{b^{3}}"," ",0,"-4*I*(-2*Pi*x*csgn(I/(exp(2*b*x+2*a)+1))^2+Pi*x*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))-Pi*x*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*Pi*x*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*x*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*x*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*x*csgn(I*exp(2*b*x+2*a))^3-Pi*x*csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+Pi*x*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*I*x^2*b+2*Pi*x+4*I*x*ln(exp(b*x+a)))/b^2/(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi+4*I*ln(exp(b*x+a)))^2+1/b^3*ln(ln(exp(b*x+a))-1/4*I*Pi*(-2*csgn(I/(exp(2*b*x+2*a)+1))^2+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))-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*csgn(I/(exp(2*b*x+2*a)+1))^3+csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+csgn(I*exp(2*b*x+2*a))^3-csgn(I*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2))","C"
179,1,634,30,0.268000," ","int(x/arccoth(tanh(b*x+a))^3,x)","-\frac{2 i \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{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}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2 \pi +4 i \ln \left({\mathrm e}^{b x +a}\right)+4 i b x \right)}{b^{2} \left(-2 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-\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 \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{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)-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}+\pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{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}+\pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2 \pi +4 i \ln \left({\mathrm e}^{b x +a}\right)\right)^{2}}"," ",0,"-2*I*(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi+4*I*ln(exp(b*x+a))+4*I*b*x)/b^2/(-2*Pi*csgn(I/(exp(2*b*x+2*a)+1))^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))-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*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3+Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+Pi*csgn(I*exp(2*b*x+2*a))^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+Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*Pi+4*I*ln(exp(b*x+a)))^2","C"
180,1,15,14,0.076000," ","int(1/arccoth(tanh(b*x+a))^3,x)","-\frac{1}{2 b \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{2}}"," ",0,"-1/2/b/arccoth(tanh(b*x+a))^2","A"
181,-1,0,95,180.000000," ","int(1/x/arccoth(tanh(b*x+a))^3,x)","\int \frac{1}{x \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{3}}\, dx"," ",0,"int(1/x/arccoth(tanh(b*x+a))^3,x)","F"
182,-1,0,129,180.000000," ","int(1/x^2/arccoth(tanh(b*x+a))^3,x)","\int \frac{1}{x^{2} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{3}}\, dx"," ",0,"int(1/x^2/arccoth(tanh(b*x+a))^3,x)","F"
183,-1,0,168,180.000000," ","int(1/x^3/arccoth(tanh(b*x+a))^3,x)","\int \frac{1}{x^{3} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{3}}\, dx"," ",0,"int(1/x^3/arccoth(tanh(b*x+a))^3,x)","F"
184,0,0,81,14.578000," ","int(x^m*arccoth(tanh(b*x+a))^n,x)","\int x^{m} \mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{n}\, dx"," ",0,"int(x^m*arccoth(tanh(b*x+a))^n,x)","F"
185,1,504228,165,33.060000," ","int(x^4*arccoth(tanh(b*x+a))^n,x)","\text{output too large to display}"," ",0,"result too large to display","B"
186,1,129477,121,18.412000," ","int(x^3*arccoth(tanh(b*x+a))^n,x)","\text{output too large to display}"," ",0,"result too large to display","C"
187,1,25561,82,14.728000," ","int(x^2*arccoth(tanh(b*x+a))^n,x)","\text{output too large to display}"," ",0,"result too large to display","C"
188,1,480,48,13.674000," ","int(x*arccoth(tanh(b*x+a))^n,x)","\frac{\left(\frac{1}{2}\right)^{n} \left(2 \ln \left({\mathrm e}^{b x +a}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)+\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)+\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)\right) \left(-\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}{{\mathrm e}^{2 b x +2 a}+1}\right)\right)}{2}-i \pi -i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2} \left(\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)-1\right)\right)^{1+n} x}{2 b \left(1+n \right)}-\frac{\left(\frac{1}{2}\right)^{n} \left(2 \ln \left({\mathrm e}^{b x +a}\right)-\frac{i \pi  \,\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right) \left(-\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)+\mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)\right)^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right) \left(-\mathrm{csgn}\left(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)+\mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)\right) \left(-\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}{{\mathrm e}^{2 b x +2 a}+1}\right)\right)}{2}-i \pi -i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2} \left(\mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)-1\right)\right)^{2+n}}{4 b^{2} \left(1+n \right) \left(2+n \right)}"," ",0,"1/2/b*(1/2)^n*(2*ln(exp(b*x+a))-1/2*I*Pi*csgn(I*exp(2*b*x+2*a))*(-csgn(I*exp(2*b*x+2*a))+csgn(I*exp(b*x+a)))^2-1/2*I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*(-csgn(I*exp(2*b*x+2*a)/(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))+csgn(I/(exp(2*b*x+2*a)+1)))-I*Pi-I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2*(csgn(I/(exp(2*b*x+2*a)+1))-1))^(1+n)/(1+n)*x-1/4/b^2*(1/2)^n/(1+n)*(2*ln(exp(b*x+a))-1/2*I*Pi*csgn(I*exp(2*b*x+2*a))*(-csgn(I*exp(2*b*x+2*a))+csgn(I*exp(b*x+a)))^2-1/2*I*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))*(-csgn(I*exp(2*b*x+2*a)/(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))+csgn(I/(exp(2*b*x+2*a)+1)))-I*Pi-I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2*(csgn(I/(exp(2*b*x+2*a)+1))-1))^(2+n)/(2+n)","C"
189,1,21,20,0.084000," ","int(arccoth(tanh(b*x+a))^n,x)","\frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{1+n}}{b \left(1+n \right)}"," ",0,"arccoth(tanh(b*x+a))^(1+n)/b/(1+n)","A"
190,0,0,66,0.681000," ","int(arccoth(tanh(b*x+a))^n/x,x)","\int \frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{n}}{x}\, dx"," ",0,"int(arccoth(tanh(b*x+a))^n/x,x)","F"
191,0,0,73,13.987000," ","int(arccoth(tanh(b*x+a))^n/x^2,x)","\int \frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{n}}{x^{2}}\, dx"," ",0,"int(arccoth(tanh(b*x+a))^n/x^2,x)","F"
192,0,0,97,13.911000," ","int(arccoth(tanh(b*x+a))^n/x^3,x)","\int \frac{\mathrm{arccoth}\left(\tanh \left(b x +a \right)\right)^{n}}{x^{3}}\, dx"," ",0,"int(arccoth(tanh(b*x+a))^n/x^3,x)","F"
193,1,676,37,0.164000," ","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(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)-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 -2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2} 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 +4 i \pi -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}+4 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}-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 -4 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{2}-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}+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 +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)+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 +2 i \pi  \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3} 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(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}+2 i \pi  m +4 b x -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(i {\mathrm e}^{2 b x +2 a}\right)^{3}+i \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3} m \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*(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))-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-2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2*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+4*I*Pi-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+4*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3-2*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2*m-4*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^2-4*I*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^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))*m+2*I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+I*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))*m+2*I*Pi*csgn(I/(exp(2*b*x+2*a)+1))^3*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(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+2*I*Pi*m+4*b*x-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))^3+I*Pi*csgn(I*exp(2*b*x+2*a))^3*m)/(1+m)/(2+m)*x^m","C"
194,1,59,19,0.442000," ","int(x^2*arccoth(coth(b*x+a)),x)","\frac{x^{3} \mathrm{arccoth}\left(\coth \left(b x +a \right)\right)}{3}+\frac{-\frac{\left(b x +a \right)^{4}}{4}+\left(b x +a \right)^{3} a -\frac{3 a^{2} \left(b x +a \right)^{2}}{2}+\left(b x +a \right) a^{3}}{3 b^{3}}"," ",0,"1/3*x^3*arccoth(coth(b*x+a))+1/3/b^3*(-1/4*(b*x+a)^4+(b*x+a)^3*a-3/2*a^2*(b*x+a)^2+(b*x+a)*a^3)","B"
195,1,48,19,0.391000," ","int(x*arccoth(coth(b*x+a)),x)","\frac{x^{2} \mathrm{arccoth}\left(\coth \left(b x +a \right)\right)}{2}+\frac{-\frac{\left(b x +a \right)^{3}}{3}+\left(b x +a \right)^{2} a -a^{2} \left(b x +a \right)}{2 b^{2}}"," ",0,"1/2*x^2*arccoth(coth(b*x+a))+1/2/b^2*(-1/3*(b*x+a)^3+(b*x+a)^2*a-a^2*(b*x+a))","B"
196,1,32,14,0.064000," ","int(arccoth(coth(b*x+a)),x)","\frac{\arctanh \left(\coth \left(b x +a \right)\right) \mathrm{arccoth}\left(\coth \left(b x +a \right)\right)-\frac{\arctanh \left(\coth \left(b x +a \right)\right)^{2}}{2}}{b}"," ",0,"1/b*(arctanh(coth(b*x+a))*arccoth(coth(b*x+a))-1/2*arctanh(coth(b*x+a))^2)","B"
197,1,27,21,0.309000," ","int(arccoth(coth(b*x+a))/x,x)","b x +a \ln \left(x \right)+\ln \left(x \right) \left(\mathrm{arccoth}\left(\coth \left(b x +a \right)\right)-b x -a \right)"," ",0,"b*x+a*ln(x)+ln(x)*(arccoth(coth(b*x+a))-b*x-a)","A"
198,1,20,17,0.393000," ","int(arccoth(coth(b*x+a))/x^2,x)","-\frac{\mathrm{arccoth}\left(\coth \left(b x +a \right)\right)}{x}+b \ln \left(b x \right)"," ",0,"-arccoth(coth(b*x+a))/x+b*ln(b*x)","A"
199,1,20,19,0.380000," ","int(arccoth(coth(b*x+a))/x^3,x)","-\frac{b}{2 x}-\frac{\mathrm{arccoth}\left(\coth \left(b x +a \right)\right)}{2 x^{2}}"," ",0,"-1/2*b/x-1/2*arccoth(coth(b*x+a))/x^2","A"
200,1,21,24,0.367000," ","int(arccoth(cosh(x)),x)","x \,\mathrm{arccoth}\left(\cosh \left(x \right)\right)+2 \dilog \left({\mathrm e}^{-x}\right)-\frac{\dilog \left({\mathrm e}^{-2 x}\right)}{2}"," ",0,"x*arccoth(cosh(x))+2*dilog(exp(-x))-1/2*dilog(exp(-2*x))","A"
201,1,449,44,0.519000," ","int(x*arccoth(cosh(x)),x)","-\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) \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) \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)^{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 {\mathrm e}^{-x} \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)\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}\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 \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) \mathrm{csgn}\left(i {\mathrm e}^{-x} \left({\mathrm e}^{x}+1\right)^{2}\right)^{2} x^{2}}{8}+\polylog \left(3, -{\mathrm e}^{x}\right)-\polylog \left(3, {\mathrm e}^{x}\right)+\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right)^{3} x^{2}}{8}-\frac{x^{2} \ln \left({\mathrm e}^{x}-1\right)}{2}+\frac{x^{2} \ln \left(1-{\mathrm e}^{x}\right)}{2}+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)*(exp(x)+1)^2)^3*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)*csgn(I*exp(-x)*(exp(x)-1)^2)^2*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)*(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^2-1/4*I*Pi*csgn(I*(exp(x)-1))*csgn(I*(exp(x)-1)^2)^2*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)+1)^2)*x^2+1/4*I*Pi*csgn(I*(exp(x)+1))*csgn(I*(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)*csgn(I*exp(-x)*(exp(x)+1)^2)^2*x^2+polylog(3,-exp(x))-polylog(3,exp(x))+1/8*I*Pi*csgn(I*(exp(x)-1)^2)^3*x^2-1/2*x^2*ln(exp(x)-1)+1/2*x^2*ln(1-exp(x))+x*polylog(2,exp(x))-x*polylog(2,-exp(x))","C"
202,1,471,66,0.503000," ","int(x^2*arccoth(cosh(x)),x)","-\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)^{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}-\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)^{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) \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} \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)\right) \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right)^{2} 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 {\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)\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{x}-1\right)^{2}\right) 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)^{2}\right)^{3} x^{3}}{12}-\frac{i \pi  \mathrm{csgn}\left(i \left({\mathrm e}^{x}+1\right)^{2}\right)^{3} x^{3}}{12}"," ",0,"-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)*(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^3-1/12*I*Pi*csgn(I*(exp(x)+1))^2*csgn(I*(exp(x)+1)^2)*x^3-1/12*I*Pi*csgn(I*(exp(x)+1)^2)*csgn(I*exp(-x))*csgn(I*exp(-x)*(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)*(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^3-1/6*I*Pi*csgn(I*(exp(x)-1))*csgn(I*(exp(x)-1)^2)^2*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))*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)-1)^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)^3*x^3-1/12*I*Pi*csgn(I*(exp(x)+1)^2)^3*x^3","C"
203,1,5294,281,10.107000," ","int(x^2*arccoth(c+d*tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
204,1,4990,211,3.578000," ","int(x*arccoth(c+d*tanh(b*x+a)),x)","\text{output too large to display}"," ",0,"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/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x*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-1/4/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*d/(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))+1/8/b^2/(c+d-1)*polylog(3,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))-1/4/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*x^2-1/4/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)+1/4/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)+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)+1/8*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*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^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)+1/2/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))+1/8/b^2/(1+c+d)*polylog(3,(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))-1/4/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x^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*c/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x^2-1/4*d/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x^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))+1/2/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))+1/8/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^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))-1/4/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-1/4/b/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x+1/4*c/(c+d-1)*ln(1-(c+d-1)*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)/(1-c+d))*x^2-1/8/b^2*c/(c+d-1)*polylog(3,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))-1/8/b^2*d/(c+d-1)*polylog(3,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))+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)/(1-c+d))*a^2-1/4/b/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*x-1/4/b^2/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*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))-1/2/b/(c+d-1)*ln(1-(c+d-1)*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*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))+1/4/b^2*c/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*a^2+1/4/b*c/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*x+1/4/b^2*c/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*a+1/4/b^2*d/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*a^2+1/4/b*d/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*x+1/4/b^2*d/(c+d-1)*polylog(2,(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*a-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)-1/4/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)+1/8*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)*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)*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+1/2/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^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^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))-1/4/b*c/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x-1/4/b*d/(1+c+d)*polylog(2,(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x+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+1/2/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-1/8*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))^2-1/2/b*c/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x*a-1/2/b*d/(1+c+d)*ln(1-(1+c+d)*exp(2*b*x+2*a)/(-1-c+d))*x*a+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))*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))+1/2/b*c/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*x*a+1/2/b*d/(c+d-1)*ln(1-(c+d-1)*exp(2*b*x+2*a)/(1-c+d))*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*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","C"
205,1,306,138,0.351000," ","int(arccoth(c+d*tanh(b*x+a)),x)","-\frac{\mathrm{arccoth}\left(c +d \tanh \left(b x +a \right)\right) \ln \left(d \tanh \left(b x +a \right)-d \right)}{2 b}+\frac{\mathrm{arccoth}\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}{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}+\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}"," ",0,"-1/2/b*arccoth(c+d*tanh(b*x+a))*ln(d*tanh(b*x+a)-d)+1/2/b*arccoth(c+d*tanh(b*x+a))*ln(d*tanh(b*x+a)+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))+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))","B"
206,0,0,17,0.559000," ","int(arccoth(c+d*tanh(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(c +d \tanh \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(c+d*tanh(b*x+a))/x,x)","F"
207,1,1726,136,5.739000," ","int(x^3*arccoth(1+d+d*tanh(b*x+a)),x)","-\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{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(\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 \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{\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{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{3 \polylog \left(5, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{16 b^{4} \left(1+d \right)}+\frac{b \,x^{5}}{20}-\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{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}^{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{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{x^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{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{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(i {\mathrm e}^{2 b x +2 a}\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(\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 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(\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(\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}"," ",0,"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))+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/b^4*a^4/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+1/20*b*x^5+1/16*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3+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)+1/2/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)+1/16*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*exp(2*b*x+2*a))^3+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^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+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))*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/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))-1/8*I*x^4*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2","C"
208,1,1667,112,5.319000," ","int(x^2*arccoth(1+d+d*tanh(b*x+a)),x)","\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{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(i {\mathrm e}^{2 b x +2 a}\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 \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 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{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{x^{3} \ln \left({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{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{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{\polylog \left(4, -\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 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{\ln \left(1+\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(1+d \right)}+\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{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{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{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 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,"1/12*I*x^3*Pi*csgn(I*exp(2*b*x+2*a))^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^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*(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)*(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)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2+1/12*b*x^4+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+1/6/b^3*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-1/3*x^3*ln(exp(b*x+a))-1/6*x^3*ln(d)+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*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+1/6*x^3*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-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*d*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-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)*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"
209,1,1584,88,5.091000," ","int(x*arccoth(1+d+d*tanh(b*x+a)),x)","-\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{\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({\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}^{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(\frac{i {\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}+1}\right)^{3}}{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{-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{b \,x^{3}}{6}-\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 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 \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{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{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{x^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{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 \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}{{\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 \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(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{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*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))^3-1/2*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)-1/8*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))^2-1/4*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))-1/8*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/b^2*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)+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))+1/8/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)/(exp(2*b*x+2*a)+1))^3-1/8*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*x^2*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)-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(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(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-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)+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"
210,1,247,61,0.460000," ","int(arccoth(1+d+d*tanh(b*x+a)),x)","-\frac{\mathrm{arccoth}\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{\mathrm{arccoth}\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{\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}+\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}"," ",0,"-1/2/b*arccoth(1+d+d*tanh(b*x+a))*ln(d*tanh(b*x+a)-d)+1/2/b*arccoth(1+d+d*tanh(b*x+a))*ln(d*tanh(b*x+a)+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))+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)","B"
211,0,0,18,0.961000," ","int(arccoth(1+d+d*tanh(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1+d +d \tanh \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1+d+d*tanh(b*x+a))/x,x)","F"
212,1,1802,149,5.434000," ","int(x^3*arccoth(1-d-d*tanh(b*x+a)),x)","\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{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{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(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))-1/8*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*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+1/16*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))^3-1/8/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*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^3+1/8/b^4*a^4/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+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*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))^3+1/8*I*x^4*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2+1/16*I*x^4*Pi*csgn(I*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)-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*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))*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*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-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)+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))-1/2/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"
213,1,1745,123,5.313000," ","int(x^2*arccoth(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(\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{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{\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{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{x^{3} \ln \left({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{6}-\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 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 \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 \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(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{12}+\frac{\ln \left(1-\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 d -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{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{\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{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(\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(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(\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}}{{\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{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 {\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(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 \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,"-1/12*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*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^3+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))*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^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+1/6*I*x^3*Pi*csgn(I*d/(exp(2*b*x+2*a)+1)*exp(2*b*x+2*a))^2-1/6*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*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))-1/12*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)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1))^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+1/12*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)/(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))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/6/b^3*a^3/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)-1)+1/6/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*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)*(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*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"
214,1,1664,97,4.902000," ","int(x*arccoth(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 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{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{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-1/4*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))^2-1/2*x^2*ln(exp(b*x+a))-1/4*x^2*ln(d)-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))^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/(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)+1/8*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+1/6*b*x^3+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^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)+1))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^2-1/4*d/(d-1)*ln(1-(d-1)*exp(2*b*x+2*a))*x^2+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))*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*exp(2*b*x+2*a))*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)+1))^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))*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*(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*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*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(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-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*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","C"
215,1,271,68,0.396000," ","int(arccoth(1-d-d*tanh(b*x+a)),x)","-\frac{\mathrm{arccoth}\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{\mathrm{arccoth}\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}{-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}-\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}"," ",0,"-1/2/b*arccoth(1-d-d*tanh(b*x+a))*ln(-d*tanh(b*x+a)+d)+1/2/b*arccoth(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((-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))-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)","B"
216,0,0,21,0.950000," ","int(arccoth(1-d-d*tanh(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1-d -d \tanh \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1-d-d*tanh(b*x+a))/x,x)","F"
217,1,5222,277,10.362000," ","int(x^2*arccoth(c+d*coth(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
218,1,4918,209,3.775000," ","int(x*arccoth(c+d*coth(b*x+a)),x)","\text{output too large to display}"," ",0,"-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)-1/8*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+1/8/b^2/(1+c+d)*polylog(3,(1+c+d)*exp(2*b*x+2*a)/(1+c-d))-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)-1/4/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*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))^3-1/2/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^2-1/8*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))^2-1/4/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))*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))-1/8*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)*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+1/2/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))*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*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)+1/4/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"
219,1,306,138,0.528000," ","int(arccoth(c+d*coth(b*x+a)),x)","-\frac{\mathrm{arccoth}\left(c +d \coth \left(b x +a \right)\right) \ln \left(d \coth \left(b x +a \right)-d \right)}{2 b}+\frac{\mathrm{arccoth}\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}{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}"," ",0,"-1/2/b*arccoth(c+d*coth(b*x+a))*ln(d*coth(b*x+a)-d)+1/2/b*arccoth(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)/(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))","B"
220,0,0,17,0.844000," ","int(arccoth(c+d*coth(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(c +d \coth \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(c+d*coth(b*x+a))/x,x)","F"
221,1,1698,133,5.863000," ","int(x^3*arccoth(1+d+d*coth(b*x+a)),x)","\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{\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{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 \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 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{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{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  \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{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{a^{3} \ln \left(1+{\mathrm e}^{b x +a} \sqrt{1+d}\right) x}{2 b^{3} \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{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{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{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(\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 {\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}-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 \,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}{{\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}"," ",0,"-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+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*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*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3+1/2/b^3*a^3/(1+d)*ln(1+exp(b*x+a)*(1+d)^(1/2))*x+1/8*x^4*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+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-1/4*x^4*ln(exp(b*x+a))-1/8*x^4*ln(d)+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a))^3+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3+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*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^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/(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))^2-1/16*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+1/16*I*x^4*Pi*csgn(I*exp(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-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*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))-1/8/b^4*d*a^4/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)","C"
222,1,1641,110,5.589000," ","int(x^2*arccoth(1+d+d*coth(b*x+a)),x)","-\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(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(\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{\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{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{b \,x^{4}}{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(\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}^{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{\polylog \left(4, \left(1+d \right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{3} \left(1+d \right)}-\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  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{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{\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 \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{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{3}}{6 \left(1+d \right)}+\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{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{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{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)^{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{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{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(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{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}"," ",0,"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*(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*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*b*x^4-1/3*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))^3-1/12*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*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))-1/6*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(b*x+a))^2*csgn(I*exp(2*b*x+2*a))+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/(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+1/6/b^3*a^3/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+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*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))*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+1/6/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))^2-1/2/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*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))+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))","C"
223,1,1560,87,5.092000," ","int(x*arccoth(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 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{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{b \,x^{3}}{6}+\frac{i x^{2} \pi  \mathrm{csgn}\left(i {\mathrm e}^{2 b x +2 a}\right)^{3}}{8}-\frac{\ln \left(1-\left(1+d \right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 \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{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(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{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}}{{\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(\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 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{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{\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 \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{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{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 {\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(\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,"-1/4*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-1/8*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)+1/8*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))^3-1/4/b^2*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+1/6*b*x^3-1/4/(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))-1/2/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))+1/2/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))*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)/(exp(2*b*x+2*a)-1))^3+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*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)/(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/(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(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-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*d)*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/4/b^2*d*a^2/(1+d)*ln(d*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)+1/2/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))*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/(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"
224,1,247,61,0.560000," ","int(arccoth(1+d+d*coth(b*x+a)),x)","-\frac{\mathrm{arccoth}\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{\mathrm{arccoth}\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{\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}+\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}"," ",0,"-1/2/b*arccoth(1+d+d*coth(b*x+a))*ln(d*coth(b*x+a)-d)+1/2/b*arccoth(1+d+d*coth(b*x+a))*ln(d*coth(b*x+a)+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))+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)","B"
225,0,0,18,1.270000," ","int(arccoth(1+d+d*coth(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1+d +d \coth \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1+d+d*coth(b*x+a))/x,x)","F"
226,1,1830,146,6.464000," ","int(x^3*arccoth(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 \,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{x^{4} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{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) \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{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{b \,x^{5}}{20}+\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{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)^{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{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(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{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{4}}{8 d -8}-\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(\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}-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{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{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}-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{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)}-\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}^{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(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*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*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^3-1/8*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+1/2/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+1/8*x^4*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)+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)+1/2/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))+1/16*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))^3-1/8*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))+1/8/(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))-1/4*x^4*ln(exp(b*x+a))-1/8*x^4*ln(d)-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*exp(2*b*x+2*a))^3+1/16*I*x^4*Pi*csgn(I*exp(2*b*x+2*a)/(exp(2*b*x+2*a)-1))^3-1/16*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)/(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)*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(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-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*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+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))^2-1/8/b^4*d*a^4/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)","C"
227,1,1771,121,5.458000," ","int(x^2*arccoth(1-d-d*coth(b*x+a)),x)","-\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{\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{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)^{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{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)^{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{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}^{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({\mathrm e}^{b x +a}\right)}{3}-\frac{x^{3} \ln \left(d \right)}{6}+\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{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{\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{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 \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{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}^{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}-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^{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}{{\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{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(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(\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{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{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))*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(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))^2-1/6*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))^3-1/12*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+1/12*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))-1/12*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*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^2-1/6/b^3*a^3/(d-1)*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)-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+1/6*x^3*ln(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1)-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)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^3+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)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^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)-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*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))*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)/(exp(2*b*x+2*a)-1))^2+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-1/2/b^2*d*a^2/(d-1)*ln(1-exp(b*x+a)*(1-d)^(1/2))*x","C"
228,1,1688,96,4.881000," ","int(x*arccoth(1-d-d*coth(b*x+a)),x)","-\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{\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 d \,{\mathrm e}^{2 b x +2 a}}{{\mathrm e}^{2 b x +2 a}-1}\right)^{2}}{4}-\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{\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{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{\polylog \left(3, -\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right)}{8 b^{2} \left(d -1\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(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{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{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(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{\ln \left(1+\left(d -1\right) {\mathrm e}^{2 b x +2 a}\right) x^{2}}{4 d -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{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{x^{2} \ln \left(d \,{\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 b x +2 a}+1\right)}{4}-\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 \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}}{{\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{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 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,"1/8*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))*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/(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))-1/4/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)+1/8*I*x^2*Pi*csgn(I*exp(2*b*x+2*a))^3+1/6*b*x^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*I*x^2*Pi*csgn(I*d/(exp(2*b*x+2*a)-1)*exp(2*b*x+2*a))^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)/(exp(2*b*x+2*a)-1))^3+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)-1)*(d*exp(2*b*x+2*a)-exp(2*b*x+2*a)+1))^3+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*(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)-1)*(d*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)-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)-1/8*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)/(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(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*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(b*x+a))^2*csgn(I*exp(2*b*x+2*a))-1/4*I*x^2*Pi*csgn(I*exp(b*x+a))*csgn(I*exp(2*b*x+2*a))^2+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","C"
229,1,271,68,0.522000," ","int(arccoth(1-d-d*coth(b*x+a)),x)","-\frac{\mathrm{arccoth}\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{\mathrm{arccoth}\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*arccoth(1-d-d*coth(b*x+a))*ln(-d*coth(b*x+a)+d)+1/2/b*arccoth(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"
230,0,0,21,1.201000," ","int(arccoth(1-d-d*coth(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1-d -d \coth \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1-d-d*coth(b*x+a))/x,x)","F"
231,1,7429,251,50.403000," ","int((f*x+e)^3*arccoth(tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
232,1,5543,193,36.632000," ","int((f*x+e)^2*arccoth(tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
233,1,2543,133,4.738000," ","int((f*x+e)*arccoth(tan(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/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((1-I)*(exp(2*I*(b*x+a))-I)/(exp(2*I*(b*x+a))+1))^3-1/4*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))+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*f*x^2+1/2*e*x)*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*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((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))-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(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))+1/8*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*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+1/4*I*Pi*x*e*csgn((1+I)*(exp(2*I*(b*x+a))+I)/(exp(2*I*(b*x+a))+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))+1/4*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","C"
234,1,180,64,0.547000," ","int(arccoth(tan(b*x+a)),x)","\frac{\arctan \left(\tan \left(b x +a \right)\right) \mathrm{arccoth}\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))*arccoth(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"
235,0,0,17,4.151000," ","int(arccoth(tan(b*x+a))/(f*x+e),x)","\int \frac{\mathrm{arccoth}\left(\tan \left(b x +a \right)\right)}{f x +e}\, dx"," ",0,"int(arccoth(tan(b*x+a))/(f*x+e),x)","F"
236,1,6892,333,34.684000," ","int(x^2*arccoth(c+d*tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
237,1,6518,249,4.678000," ","int(x*arccoth(c+d*tan(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
238,1,612,164,0.330000," ","int(arccoth(c+d*tan(b*x+a)),x)","\frac{\arctan \left(\tan \left(b x +a \right)\right) \mathrm{arccoth}\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))*arccoth(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))/(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))-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))","B"
239,0,0,17,1.270000," ","int(arccoth(c+d*tan(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(c +d \tan \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(c+d*tan(b*x+a))/x,x)","F"
240,1,2339,138,5.882000," ","int(x^2*arccoth(1-I*d+d*tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"1/6*x^3*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)+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))^2-1/3*x^3*ln(exp(I*(b*x+a)))+1/12*I*b*x^4+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))^2-1/12*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+1/3/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))-1/8*I/b^3*d/(I+d)*polylog(4,I*(I+d)*exp(2*I*(b*x+a)))-1/12*I*x^3*Pi*csgn(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)/(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*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^3-1/6*x^3*ln(d)+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)))-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))+exp(2*I*(b*x+a))*d+I)/(exp(2*I*(b*x+a))+1))^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*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)))^3-1/2/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^2-1/6*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)))*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))+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+1/6*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*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)*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*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/(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*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))+1/2*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))+1/6/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*(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*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))","C"
241,1,2249,108,5.056000," ","int(x*arccoth(1-I*d+d*tan(b*x+a)),x)","\text{Expression too large to display}"," ",0,"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/(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-1/8*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+1/6*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+1/8*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))+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))+1/2/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-1/8*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*x^2*ln(I*exp(2*I*(b*x+a))+exp(2*I*(b*x+a))*d+I)-1/2*x^2*ln(exp(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)))^2+1/8*I*x^2*Pi*csgn(I*d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3+1/8*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*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))+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(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))^2-1/4*d/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*x^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((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*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*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/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^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/(I+d)*ln(1-I*(I+d)*exp(2*I*(b*x+a)))*a^2+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))-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*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*(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*(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","C"
242,1,292,76,0.521000," ","int(arccoth(1-I*d+d*tan(b*x+a)),x)","\frac{i \mathrm{arccoth}\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 \mathrm{arccoth}\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 \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}+\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}"," ",0,"1/2*I/b*arccoth(1-I*d+d*tan(b*x+a))*ln(I*d+d*tan(b*x+a))-1/2*I/b*arccoth(1-I*d+d*tan(b*x+a))*ln(-I*d+d*tan(b*x+a))-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))+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))","B"
243,0,0,21,1.823000," ","int(arccoth(1-I*d+d*tan(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1-i d +d \tan \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1-I*d+d*tan(b*x+a))/x,x)","F"
244,1,2449,139,5.932000," ","int(x^2*arccoth(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(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+1/12*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))^3-1/6*x^3*ln(d)+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+1/3*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((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^3*a^3/(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*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)))-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))-1/12*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/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x^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+1/6*d/(I-d)*ln(1-I*(I-d)*exp(2*I*(b*x+a)))*x^3+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^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*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)))^2-1/4*I/b^2/(I-d)*polylog(3,I*(I-d)*exp(2*I*(b*x+a)))*x+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*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(exp(2*I*(b*x+a))*d-I*exp(2*I*(b*x+a))-I)+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(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))*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+1/12*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/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))*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+1/4/b^2*d/(I-d)*polylog(3,I*(I-d)*exp(2*I*(b*x+a)))*x+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(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/b^2*d/(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/(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))-1/2*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*d/(I-d)*polylog(2,I*(I-d)*exp(2*I*(b*x+a)))*x^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^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*I/b^2*a^2/(I-d)*ln(1-I*exp(I*(b*x+a))*(-I*(I-d))^(1/2))*x","C"
245,1,2351,109,4.913000," ","int(x*arccoth(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(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))-1/2*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+1/2/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+1/8*I*x^2*Pi*csgn(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/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)-1/8*I*x^2*Pi*csgn(d/(exp(2*I*(b*x+a))+1)*exp(2*I*(b*x+a)))^3+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"
246,1,297,77,0.506000," ","int(arccoth(1+I*d-d*tan(b*x+a)),x)","\frac{i \mathrm{arccoth}\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 \mathrm{arccoth}\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 \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}-\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 \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}"," ",0,"1/2*I/b*arccoth(1+I*d-d*tan(b*x+a))*ln(I*d+d*tan(b*x+a))-1/2*I/b*arccoth(1+I*d-d*tan(b*x+a))*ln(I*d-d*tan(b*x+a))-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))-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))+1/4*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)","B"
247,0,0,22,1.819000," ","int(arccoth(1+I*d-d*tan(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1+i d -d \tan \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1+I*d-d*tan(b*x+a))/x,x)","F"
248,1,7429,251,49.151000," ","int((f*x+e)^3*arccoth(cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
249,1,5543,193,40.199000," ","int((f*x+e)^2*arccoth(cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
250,1,2543,133,4.354000," ","int((f*x+e)*arccoth(cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"-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))-1/2/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+(1/4*f*x^2+1/2*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+1/4*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))-1/4*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((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(((-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))-1/8*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))-1/8*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"
251,1,267,64,0.552000," ","int(arccoth(cot(b*x+a)),x)","-\frac{\mathrm{arccoth}\left(\cot \left(b x +a \right)\right) \pi}{2 b}+\frac{\mathrm{arccoth}\left(\cot \left(b x +a \right)\right) \mathrm{arccot}\left(\cot \left(b x +a \right)\right)}{b}-\frac{\ln \left(1+\frac{i \left(1+i \cot \left(b x +a \right)\right)^{2}}{\cot^{2}\left(b x +a \right)+1}\right) \pi}{4 b}+\frac{\ln \left(1+\frac{i \left(1+i \cot \left(b x +a \right)\right)^{2}}{\cot^{2}\left(b x +a \right)+1}\right) \mathrm{arccot}\left(\cot \left(b x +a \right)\right)}{2 b}+\frac{\ln \left(1-\frac{i \left(1+i \cot \left(b x +a \right)\right)^{2}}{\cot^{2}\left(b x +a \right)+1}\right) \pi}{4 b}-\frac{\ln \left(1-\frac{i \left(1+i \cot \left(b x +a \right)\right)^{2}}{\cot^{2}\left(b x +a \right)+1}\right) \mathrm{arccot}\left(\cot \left(b x +a \right)\right)}{2 b}+\frac{i \dilog \left(1+\frac{i \left(1+i \cot \left(b x +a \right)\right)^{2}}{\cot^{2}\left(b x +a \right)+1}\right)}{4 b}-\frac{i \dilog \left(1-\frac{i \left(1+i \cot \left(b x +a \right)\right)^{2}}{\cot^{2}\left(b x +a \right)+1}\right)}{4 b}"," ",0,"-1/2/b*arccoth(cot(b*x+a))*Pi+1/b*arccoth(cot(b*x+a))*arccot(cot(b*x+a))-1/4/b*ln(1+I*(1+I*cot(b*x+a))^2/(cot(b*x+a)^2+1))*Pi+1/2/b*ln(1+I*(1+I*cot(b*x+a))^2/(cot(b*x+a)^2+1))*arccot(cot(b*x+a))+1/4/b*ln(1-I*(1+I*cot(b*x+a))^2/(cot(b*x+a)^2+1))*Pi-1/2/b*ln(1-I*(1+I*cot(b*x+a))^2/(cot(b*x+a)^2+1))*arccot(cot(b*x+a))+1/4*I/b*dilog(1+I*(1+I*cot(b*x+a))^2/(cot(b*x+a)^2+1))-1/4*I/b*dilog(1-I*(1+I*cot(b*x+a))^2/(cot(b*x+a)^2+1))","B"
252,0,0,17,4.189000," ","int(arccoth(cot(b*x+a))/(f*x+e),x)","\int \frac{\mathrm{arccoth}\left(\cot \left(b x +a \right)\right)}{f x +e}\, dx"," ",0,"int(arccoth(cot(b*x+a))/(f*x+e),x)","F"
253,1,6698,329,39.339000," ","int(x^2*arccoth(c+d*cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
254,1,6348,247,4.915000," ","int(x*arccoth(c+d*cot(b*x+a)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
255,1,629,164,0.585000," ","int(arccoth(c+d*cot(b*x+a)),x)","-\frac{\mathrm{arccoth}\left(c +d \cot \left(b x +a \right)\right) \pi}{2 b}+\frac{\mathrm{arccoth}\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*arccoth(c+d*cot(b*x+a))*Pi+1/b*arccoth(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))/(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))+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))","B"
256,0,0,17,1.455000," ","int(arccoth(c+d*cot(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(c +d \cot \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(c+d*cot(b*x+a))/x,x)","F"
257,1,2449,136,6.234000," ","int(x^2*arccoth(1+I*d+d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"-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^3-1/3*x^3*ln(exp(I*(b*x+a)))+1/12*I*b*x^4-1/4*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^2-1/12*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)))^3-1/6*x^3*ln(d)+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(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^3+1/8/b^3/(I-d)*polylog(4,-I*(I-d)*exp(2*I*(b*x+a)))+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))*d-I*exp(2*I*(b*x+a))+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+1/12*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+1/12*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(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)))-1/12*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)))^2-1/2*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))-1/3/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*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))-1/6/b^3*a^3*d/(I-d)*ln(I*exp(2*I*(b*x+a))-exp(2*I*(b*x+a))*d-I)-1/2*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+1/3*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*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))*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/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+1/6*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))*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+1/12*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))^2-1/12*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*d)*csgn(I*d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2","C"
258,1,2351,107,5.269000," ","int(x*arccoth(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/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))-1/8*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(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^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(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"
259,1,299,76,0.757000," ","int(arccoth(1+I*d+d*cot(b*x+a)),x)","-\frac{i \mathrm{arccoth}\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 \mathrm{arccoth}\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 \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}-\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 \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}"," ",0,"-1/2*I/b*arccoth(1+I*d+d*cot(b*x+a))*ln(I*d+d*cot(b*x+a))+1/2*I/b*arccoth(1+I*d+d*cot(b*x+a))*ln(I*d-d*cot(b*x+a))-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))-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))+1/4*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)","B"
260,0,0,21,2.065000," ","int(arccoth(1+I*d+d*cot(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1+i d +d \cot \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1+I*d+d*cot(b*x+a))/x,x)","F"
261,1,2339,137,5.973000," ","int(x^2*arccoth(1-I*d-d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"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-1/12*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*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^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+1/6/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(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^2-1/3*x^3*ln(exp(I*(b*x+a)))+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))*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+1/12*I*x^3*Pi*csgn(I*exp(2*I*(b*x+a)))^3-1/6*x^3*ln(d)+1/12*I*x^3*Pi*csgn(I*exp(I*(b*x+a)))^2*csgn(I*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*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*(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*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+1/8/b^3/(I+d)*polylog(4,-I*(I+d)*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+1/6*x^3*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(2*I*(b*x+a))/(exp(2*I*(b*x+a))-1))^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))^3-1/4*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)+1/12*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*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^2/(I+d)*ln(1+I*(I+d)*exp(2*I*(b*x+a)))*x*a^2+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^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^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)))+1/2*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*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+1/12*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)))*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))/(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)/(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))^2-1/4/b^2*d/(I+d)*polylog(3,-I*(I+d)*exp(2*I*(b*x+a)))*x+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/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*x^2","C"
262,1,2249,108,5.512000," ","int(x*arccoth(1-I*d-d*cot(b*x+a)),x)","\text{Expression too large to display}"," ",0,"-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/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))*d-I)/(exp(2*I*(b*x+a))-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*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-1/4*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))+1/6*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/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^2-1/4*x^2*ln(d)+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(d/(exp(2*I*(b*x+a))-1)*exp(2*I*(b*x+a)))^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((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-1/8*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))^3-1/8*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))+1/8*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*(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)))*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+1/4*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(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)))^2-1/2*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))-1/2*I/b/(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/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/(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))+1/2/b^2*a^2*d/(I+d)*ln(1+I*exp(I*(b*x+a))*(I*(I+d))^(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))^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+1/2*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/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+1/4*I/b*d/(I+d)*polylog(2,-I*(I+d)*exp(2*I*(b*x+a)))*x","C"
263,1,304,77,0.703000," ","int(arccoth(1-I*d-d*cot(b*x+a)),x)","\frac{i \mathrm{arccoth}\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 \mathrm{arccoth}\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 \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}-\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 \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}"," ",0,"1/2*I/b*arccoth(1-I*d-d*cot(b*x+a))*ln(I*d-d*cot(b*x+a))-1/2*I/b*arccoth(1-I*d-d*cot(b*x+a))*ln(-I*d-d*cot(b*x+a))-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))-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))+1/4*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)","B"
264,0,0,22,2.073000," ","int(arccoth(1-I*d-d*cot(b*x+a))/x,x)","\int \frac{\mathrm{arccoth}\left(1-i d -d \cot \left(b x +a \right)\right)}{x}\, dx"," ",0,"int(arccoth(1-I*d-d*cot(b*x+a))/x,x)","F"
265,1,920,146,0.536000," ","int((a+b*arccoth(c*x^n))*(d+e*ln(f*x^m))/x,x)","\frac{\ln \left(x^{n}\right) a d}{n}+\frac{e a \ln \left(x^{m}\right)^{2}}{2 m}-\frac{\dilog \left(c \,x^{n}\right) b d}{2 n}-\frac{\dilog \left(c \,x^{n}+1\right) b d}{2 n}-\frac{\ln \left(c \,x^{n}-1\right) \ln \left(c \,x^{n}\right) b d}{2 n}+\frac{e b \ln \left(c \,x^{n}-1\right) \ln \left(x \right)^{2} m}{4}-\frac{e b \ln \left(c \,x^{n}-1\right) \ln \left(x^{m}\right) \ln \left(x \right)}{2}-\frac{e b m \ln \left(x \right)^{2} \ln \left(1-c \,x^{n}\right)}{4}-\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{i \pi  \ln \left(c \,x^{n}-1\right) \ln \left(c \,x^{n}\right) b e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 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 \pi  \dilog \left(c \,x^{n}\right) b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}-\frac{i \pi  \dilog \left(c \,x^{n}\right) 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 f \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{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{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 \ln \left(1-c \,x^{n}\right) \ln \left(c \,x^{n}\right) \ln \left(x^{m}\right)}{2 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(f \right) \ln \left(c \,x^{n}-1\right) \ln \left(c \,x^{n}\right) b e}{2 n}+\frac{i \pi  \ln \left(c \,x^{n}-1\right) \ln \left(c \,x^{n}\right) 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{e b \dilog \left(c \,x^{n}\right) \ln \left(x^{m}\right)}{2 n}-\frac{\dilog \left(c \,x^{n}+1\right) \ln \left(f \right) b e}{2 n}-\frac{\ln \left(f \right) \dilog \left(c \,x^{n}\right) b e}{2 n}+\frac{e b \ln \left(x^{m}\right) \ln \left(1-c \,x^{n}\right) \ln \left(x \right)}{2}+\frac{\ln \left(x^{n}\right) \ln \left(f \right) a e}{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(c \,x^{n}+1\right) \pi  b e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 n}+\frac{i \pi  \dilog \left(c \,x^{n}\right) 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 \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{4 n}+\frac{i \pi  \dilog \left(c \,x^{n}\right) 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{i \pi  \ln \left(c \,x^{n}-1\right) \ln \left(c \,x^{n}\right) b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}-\frac{i \pi  \ln \left(c \,x^{n}-1\right) \ln \left(c \,x^{n}\right) b e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 n}"," ",0,"1/4*I/n*Pi*ln(c*x^n-1)*ln(c*x^n)*b*e*csgn(I*f*x^m)^3-1/4*I/n*Pi*dilog(c*x^n)*b*e*csgn(I*f)*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)^2-1/4*I/n*Pi*dilog(c*x^n)*b*e*csgn(I*x^m)*csgn(I*f*x^m)^2+1/n*ln(x^n)*a*d+1/2*e*a/m*ln(x^m)^2-1/2/n*dilog(c*x^n)*b*d-1/2/n*dilog(c*x^n+1)*b*d+1/4*I/n*Pi*ln(c*x^n-1)*ln(c*x^n)*b*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-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(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/n*ln(c*x^n-1)*ln(c*x^n)*b*d+1/4*e*b*ln(c*x^n-1)*ln(x)^2*m-1/2*e*b*ln(c*x^n-1)*ln(x^m)*ln(x)-1/4*e*b*m*ln(x)^2*ln(1-c*x^n)-1/4*I/n*Pi*ln(c*x^n-1)*ln(c*x^n)*b*e*csgn(I*f)*csgn(I*f*x^m)^2+1/4*I/n*Pi*dilog(c*x^n)*b*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*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(c*x^n+1)*Pi*b*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*Pi*ln(c*x^n-1)*ln(c*x^n)*b*e*csgn(I*x^m)*csgn(I*f*x^m)^2-1/2*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*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*e*b/n*ln(1-c*x^n)*ln(c*x^n)*m*ln(x)+1/4*I/n*Pi*dilog(c*x^n)*b*e*csgn(I*f*x^m)^3-1/2/n*ln(f)*ln(c*x^n-1)*ln(c*x^n)*b*e-1/2*e*b/n*dilog(c*x^n+1)*ln(x^m)+1/2*e*b*ln(x^m)*ln(1-c*x^n)*ln(x)-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(c*x^n+1)*ln(f)*b*e-1/2/n*ln(f)*dilog(c*x^n)*b*e","C"
266,1,4034,265,16.949000," ","int(x^5*(a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1)),x)","\text{output too large to display}"," ",0,"-49/60*b*e*x/c^5-19/180*b*e*x^3/c^3-11/450*b*e*x^5/c-23/90/c^6*b*d+1/12*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^6*e+1/12*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^6*e+1/60*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^5*e+1/36*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^3*e+1/12*I/c^5*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x*e+1/60*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^5*e+1/36*I/c^3*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^3*e+1/12*I/c^5*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x*e-1/12*I*b*arccoth(c*x)*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^6*e+1/12*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^6*e+1/12*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*x^6*e+1/6*I*b*arccoth(c*x)*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^6*e-1/6*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*x^6*e+1/12*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^6*e-1/6*I/c^6*b*arccoth(c*x)*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2+1/6*I/c^6*b*arccoth(c*x)*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/12*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/12*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+23/180*I/c^6*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/60*I/c*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^5*e-1/36*I/c^3*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^3*e-1/12*I/c^5*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x*e+1/60*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^5*e+1/36*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^3*e+1/12*I/c^5*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x*e+1/60*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^5*e+1/36*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^3*e+1/12*I/c^5*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x*e-1/30*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*x^5*e-1/18*I/c^3*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*x^3*e-1/6*I/c^5*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*x*e+1/30*I/c*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^5*e+1/18*I/c^3*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^3*e+1/6*I/c^5*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x*e+1/60*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*x^5*e+1/36*I/c^3*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*x^3*e+1/12*I/c^5*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*x*e-1/12*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/12*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-1/60*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^5*e-1/12*I/c^5*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x*e-1/36*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^3*e+1/12*I/c^6*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/12*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^6*e-1/12*a*e/c^2*x^4-1/6*a*e/c^4*x^2+1/6*a*e*x^6*ln(-c^2*x^2+1)-1/6*a*e/c^6*ln(c^2*x^2-1)+1/18/c^3*b*x^3*d+1/6/c^5*b*x*d+1/30/c*b*x^5*d+1/6*b*arccoth(c*x)*x^6*d-1/18*b*arccoth(c*x)*x^6*e+239/180/c^6*b*arccoth(c*x)*e-1/6/c^6*b*arccoth(c*x)*d-23/90*I/c^6*b*e*Pi-1/6*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^6*e-1/12*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^6*e-1/60*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^5*e-1/12*I/c^5*b*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x*e-1/30*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^5*e-1/18*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^3*e-1/6*I/c^5*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x*e-23/180*I/c^6*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-1/12*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3-1/12*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3+1/6*I/c^6*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+23/180*I/c^6*b*e*Pi*cs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267,1,3320,201,12.627000," ","int(x^3*(a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1)),x)","\text{output too large to display}"," ",0,"-25/24*b*e*x/c^3-7/72*b*e*x^3/c+1/4*b*d*x/c^3+1/12*b*d*x^3/c+1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))^2*csgn(I/((c*x-1)/(c*x+1))^(1/2))*Pi*x^4*e-1/8*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*Pi*x^4*e+1/8*I/c^3*b*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x*e-2/3/c^4*b*e*ln(2)-1/24*I/c*b*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1))*Pi*x^3*e-1/8*I/c^3*b*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1))*Pi*x*e+1/8*I/c^4*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/8*I*b*arccoth(c*x)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1))*Pi*x^4*e+1/8*I/c^3*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*(c*x+1)/(c*x-1))*Pi*x*e+1/8*I/c^3*b*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*Pi*x*e-1/4*I/c^3*b*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*Pi*x*e+1/4*I/c^3*b*csgn(I*(c*x+1)/(c*x-1))^2*csgn(I/((c*x-1)/(c*x+1))^(1/2))*Pi*x*e-1/8*I/c^3*b*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*Pi*x*e-1/8*I/c^4*b*arccoth(c*x)*Pi*e*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/8*I/c^4*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/8*I/c^4*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/4*I/c^4*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/4*I/c^4*b*arccoth(c*x)*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2+1/8*I/c^4*b*arccoth(c*x)*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+1/6*I/c^4*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)+1/8*I*b*arccoth(c*x)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^4*e+1/8*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*(c*x+1)/(c*x-1))*Pi*x^4*e+1/8*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*Pi*x^4*e-1/4*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^4*e+1/24*I/c*b*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^3*e+1/24*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*(c*x+1)/(c*x-1))*Pi*x^3*e+1/24*I/c*b*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*Pi*x^3*e-1/12*I/c*b*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^3*e+1/12*I/c*b*csgn(I*(c*x+1)/(c*x-1))^2*csgn(I/((c*x-1)/(c*x+1))^(1/2))*Pi*x^3*e-1/24*I/c*b*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*Pi*x^3*e+41/36*e/c^4*b-1/3/c^4*b*d+1/6*I/c^4*b*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+1/12*I/c*b*Pi*x^3*e-1/6*I/c^4*b*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3-1/6*I/c^4*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/6*I/c^4*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3+1/3*I/c^4*b*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/4*I/c^3*b*Pi*x*e-1/4*I/c^4*b*Pi*e*arccoth(c*x)+1/4*I*b*arccoth(c*x)*Pi*x^4*e-1/12/c^4*b*e*(3*arccoth(c*x)*x^3*c^3+3*arccoth(c*x)*x^2*c^2+c^2*x^2+3*arccoth(c*x)*x*c+c*x+3*arccoth(c*x)+4)*(c*x-1)*ln((c*x-1)/(c*x+1))+1/8*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*Pi*x^4*e+1/8*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*Pi*x^4*e-1/8*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))^3*Pi*x^4*e-1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^4*e+1/24*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*Pi*x^3*e+1/24*I/c*b*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*Pi*x^3*e-1/24*I/c*b*csgn(I*(c*x+1)/(c*x-1))^3*Pi*x^3*e-1/12*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^3*e+1/8*I/c^3*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*Pi*x*e+1/8*I/c^3*b*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*Pi*x*e-1/8*I/c^3*b*csgn(I*(c*x+1)/(c*x-1))^3*Pi*x*e-1/8*I/c^4*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3-1/8*I/c^4*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/8*I/c^4*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3-1/4*I/c^3*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x*e+1/4*I/c^4*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/6*I/c^4*b*e*Pi*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/6*I/c^4*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/6*I/c^4*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/3*I/c^4*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/3*I/c^4*b*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2-1/3*I/c^4*b*e*Pi-1/2*b*arccoth(c*x)*ln((c*x+1)/(c*x-1)-1)*x^4*e+1/2*b*arccoth(c*x)*ln(2)*x^4*e-1/6/c*b*ln((c*x+1)/(c*x-1)-1)*x^3*e+1/6/c*b*ln(2)*x^3*e-1/4/c^2*b*arccoth(c*x)*x^2*e-1/2/c^3*b*ln((c*x+1)/(c*x-1)-1)*x*e+1/2/c^3*b*ln(2)*x*e+1/2/c^4*b*arccoth(c*x)*e*ln((c*x+1)/(c*x-1)-1)-1/2/c^4*b*arccoth(c*x)*ln(2)*e+1/4*x^4*a*d-1/8*a*e*x^4-1/4*a*e/c^2*x^2+1/4*a*e*x^4*ln(-c^2*x^2+1)-1/4*a*e/c^4*ln(c^2*x^2-1)-1/4/c^4*b*arccoth(c*x)*d+41/24/c^4*b*arccoth(c*x)*e+1/4*b*arccoth(c*x)*x^4*d-1/8*b*arccoth(c*x)*x^4*e","C"
268,1,2616,128,3.357000," ","int(x*(a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1)),x)","\text{Expression too large to display}"," ",0,"-1/c^2*b*e*ln(2)-1/2/c^2*b*d+1/2*a*x^2*d-1/2*a*e*x^2+1/2*a*e/c^2+3/2*e/c^2*b-1/2/c^2*b*arccoth(c*x)*d+5/2/c^2*b*arccoth(c*x)*e+1/2*a*e*ln(-c^2*x^2+1)*x^2-1/2*a*e/c^2*ln(-c^2*x^2+1)+1/2*b*arccoth(c*x)*x^2*d-1/2*b*arccoth(c*x)*x^2*e+1/2*b*d*x/c-3/2*b*e*x/c-1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3-1/2*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x*e+1/2*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/4*I/c^2*b*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))-1/2*I/c^2*b*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2-1/4*I/c^2*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/4*I/c^2*b*e*Pi*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/2*I/c^2*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/4*I/c^2*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*x^2*e-1/4*I/c*b*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*x*e-1/c*b*ln((c*x+1)/(c*x-1)-1)*x*e+1/c*b*ln(2)*x*e+1/c^2*b*arccoth(c*x)*e*ln((c*x+1)/(c*x-1)-1)-1/c^2*b*arccoth(c*x)*e*ln(2)-b*arccoth(c*x)*ln((c*x+1)/(c*x-1)-1)*x^2*e+b*arccoth(c*x)*ln(2)*x^2*e+1/4*I/c^2*b*Pi*e*csgn(I*(c*x+1)/(c*x-1))^3-1/4*I/c^2*b*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3-1/4*I/c^2*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/2*I/c^2*b*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/2*I/c*b*Pi*x*e-1/2*I/c^2*b*Pi*e*arccoth(c*x)+1/2*I*b*arccoth(c*x)*Pi*x^2*e-1/2/c^2*b*e*(arccoth(c*x)*x*c+arccoth(c*x)+1)*(c*x-1)*ln((c*x-1)/(c*x+1))+1/2*I/c*b*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*Pi*x*e+1/4*I/c*b*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x*e+1/4*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*x*e-1/2*I/c*b*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*Pi*x*e+1/4*I/c*b*csgn(I*((c*x+1)/(c*x-1)-1)^2)*csgn(I*((c*x+1)/(c*x-1)-1))^2*Pi*x*e+1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))-1/2*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2-1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/2*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/4*I/c^2*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)+1/2*I*b*arccoth(c*x)*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*Pi*x^2*e+1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^2*e-1/4*I*b*arccoth(c*x)*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*Pi*x^2*e+1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*x^2*e-1/2*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*Pi*x^2*e+1/4*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)*csgn(I*((c*x+1)/(c*x-1)-1))^2*Pi*x^2*e-1/4*I/c*b*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*Pi*x*e-1/2*I/c^2*b*Pi*e-1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))^3*Pi*x^2*e+1/4*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*Pi*x^2*e+1/4*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*Pi*x^2*e-1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x^2*e-1/4*I/c*b*csgn(I*(c*x+1)/(c*x-1))^3*Pi*x*e+1/4*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*Pi*x*e+1/4*I/c*b*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*Pi*x*e+1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3-1/4*I/c^2*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3","C"
269,1,864,363,4.559000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x,x)","-\left(-\frac{i \pi  b e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{2}-\frac{i \pi  b e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)}{4}+\frac{i \pi  b e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{4}+\frac{i \pi  b e \,\mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{4}+\frac{i \pi  b e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{3}}{4}+\frac{i e \pi  b}{2}+a e +\frac{b d}{2}\right) \dilog \left(c x +1\right)+\frac{i \dilog \left(c x \right) \pi  b e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)}{4}-\frac{i \pi  \dilog \left(c x \right) b e}{2}+i \ln \left(c x \right) \pi  a e +\ln \left(c x \right) \ln \left(c x -1\right) a e -\frac{\ln \left(c x \right) \ln \left(c x -1\right) b d}{2}-\frac{\ln \left(c x \right) \ln \left(c x -1\right)^{2} b e}{2}+\frac{b e \ln \left(-c x \right) \ln \left(c x +1\right)^{2}}{2}+\ln \left(c x \right) a d -\frac{i \ln \left(c x -1\right) \pi  \ln \left(c x \right) b e}{2}-\frac{i \dilog \left(c x \right) \pi  b e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{3}}{4}+\frac{i \dilog \left(c x \right) \pi  b e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{2}+\frac{i \ln \left(c x \right) \pi  a e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{3}}{2}-i \ln \left(c x \right) \pi  a e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}+b e \polylog \left(3, -c x +1\right)-b e \polylog \left(3, c x +1\right)+\dilog \left(c x \right) a e -\frac{\dilog \left(c x \right) b d}{2}-\polylog \left(2, -c x +1\right) \ln \left(c x -1\right) b e +b e \ln \left(c x +1\right) \polylog \left(2, c x +1\right)+\frac{i \ln \left(c x \right) \ln \left(c x -1\right) \pi  b e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)}{4}+\frac{i \ln \left(c x \right) \pi  a e \,\mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{2}-\frac{i \ln \left(c x \right) \ln \left(c x -1\right) \pi  b e \,\mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{4}-\frac{i \ln \left(c x \right) \pi  a e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)}{2}-\frac{i \ln \left(c x \right) \ln \left(c x -1\right) \pi  b e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{4}-\frac{i \ln \left(c x \right) \ln \left(c x -1\right) \pi  b e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{3}}{4}+\frac{i \ln \left(c x \right) \ln \left(c x -1\right) \pi  b e \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{2}-\frac{i \dilog \left(c x \right) \pi  b e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{4}-\frac{i \dilog \left(c x \right) \pi  b e \,\mathrm{csgn}\left(i \left(c x +1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{4}+\frac{i \ln \left(c x \right) \pi  a e \,\mathrm{csgn}\left(i \left(c x -1\right)\right) \mathrm{csgn}\left(i \left(c x -1\right) \left(c x +1\right)\right)^{2}}{2}"," ",0,"b*e*polylog(3,-c*x+1)-b*e*polylog(3,c*x+1)-(-1/2*I*Pi*b*e*csgn(I*(c*x-1)*(c*x+1))^2-1/4*I*Pi*b*e*csgn(I*(c*x-1))*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))+1/4*I*Pi*b*e*csgn(I*(c*x-1))*csgn(I*(c*x-1)*(c*x+1))^2+1/4*I*Pi*b*e*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))^2+1/4*I*Pi*b*e*csgn(I*(c*x-1)*(c*x+1))^3+1/2*I*e*Pi*b+a*e+1/2*b*d)*dilog(c*x+1)-1/2*I*ln(c*x-1)*Pi*ln(c*x)*b*e+ln(c*x)*ln(c*x-1)*a*e-1/2*ln(c*x)*ln(c*x-1)*b*d-1/2*ln(c*x)*ln(c*x-1)^2*b*e-polylog(2,-c*x+1)*ln(c*x-1)*b*e+1/2*b*e*ln(-c*x)*ln(c*x+1)^2+b*e*ln(c*x+1)*polylog(2,c*x+1)-1/4*I*ln(c*x)*ln(c*x-1)*Pi*b*e*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))^2+1/4*I*dilog(c*x)*Pi*b*e*csgn(I*(c*x-1))*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))-1/2*I*ln(c*x)*Pi*a*e*csgn(I*(c*x-1))*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))-1/4*I*ln(c*x)*ln(c*x-1)*Pi*b*e*csgn(I*(c*x-1))*csgn(I*(c*x-1)*(c*x+1))^2+dilog(c*x)*a*e-1/2*dilog(c*x)*b*d+ln(c*x)*a*d-1/4*I*dilog(c*x)*Pi*b*e*csgn(I*(c*x-1)*(c*x+1))^3+1/4*I*ln(c*x)*ln(c*x-1)*Pi*b*e*csgn(I*(c*x-1))*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))+I*ln(c*x)*Pi*a*e-1/4*I*ln(c*x)*ln(c*x-1)*Pi*b*e*csgn(I*(c*x-1)*(c*x+1))^3+1/2*I*ln(c*x)*ln(c*x-1)*Pi*b*e*csgn(I*(c*x-1)*(c*x+1))^2-1/2*I*Pi*dilog(c*x)*b*e-1/4*I*dilog(c*x)*Pi*b*e*csgn(I*(c*x-1))*csgn(I*(c*x-1)*(c*x+1))^2-1/4*I*dilog(c*x)*Pi*b*e*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))^2+1/2*I*ln(c*x)*Pi*a*e*csgn(I*(c*x-1))*csgn(I*(c*x-1)*(c*x+1))^2+1/2*I*ln(c*x)*Pi*a*e*csgn(I*(c*x+1))*csgn(I*(c*x-1)*(c*x+1))^2+1/2*I*ln(c*x)*Pi*a*e*csgn(I*(c*x-1)*(c*x+1))^3+1/2*I*dilog(c*x)*Pi*b*e*csgn(I*(c*x-1)*(c*x+1))^2-I*ln(c*x)*Pi*a*e*csgn(I*(c*x-1)*(c*x+1))^2","C"
270,0,0,229,11.444000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^3,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(-c^{2} x^{2}+1\right)\right)}{x^{3}}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^3,x)","F"
271,-2,0,305,180.000000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^5,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(-c^{2} x^{2}+1\right)\right)}{x^{5}}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^5,x)","F"
272,1,4194,281,4.748000," ","int(x^4*(a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1)),x)","\text{output too large to display}"," ",0,"-2/5*b*arccoth(c*x)*ln((c*x+1)/(c*x-1)-1)*x^5*e+2/5*b*arccoth(c*x)*ln(2)*x^5*e-1/10/c*b*ln((c*x+1)/(c*x-1)-1)*x^4*e-1/5/c^3*b*ln((c*x+1)/(c*x-1)-1)*x^2*e-1/20/c^5*b*e*(4*arccoth(c*x)*x^5*c^5+c^4*x^4+2*c^2*x^2+4*arccoth(c*x)-4*ln((c*x+1)/(c*x-1)-1)-3)*ln((c*x-1)/(c*x+1))-2/25*a*e*x^5-2/5*b*e*x*arccoth(c*x)/c^4-2/15*b*e*x^3*arccoth(c*x)/c^2-2/25*b*e*x^5*arccoth(c*x)-2/5*a*e*x/c^4-77/300*b*e*x^2/c^3-2/15*a*e*x^3/c^2-9/200*b*e*x^4/c+181/600*e/c^5*b+1/10/c^3*b*x^2*d+1/20/c*b*x^4*d-1/5/c^5*b*d*ln((c*x+1)/(c*x-1)-1)+1/5/c^5*b*ln((c*x+1)/(c*x-1)-1)^2*e+137/150/c^5*b*e*ln((c*x+1)/(c*x-1)-1)+1/5/c^5*b*arccoth(c*x)*d-46/75/c^5*b*arccoth(c*x)*e+1/5*b*arccoth(c*x)*x^5*d+1/5*a*e*x^5*ln(-c^2*x^2+1)+1/5*a*e/c^5*ln(c*x+1)-1/5*a*e/c^5*ln(c*x-1)+3/40*I/c^5*b*Pi*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)+1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/5*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2-1/40*I/c*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^4*e-1/20*I/c^3*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^2*e+1/40*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)*csgn(I*((c*x+1)/(c*x-1)-1))^2*x^4*e+1/20*I/c^3*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)*csgn(I*((c*x+1)/(c*x-1)-1))^2*x^2*e-1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/40*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^4*e+1/20*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^2*e+1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/5*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2+1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+1/5*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/20*I/c*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^4*e+1/5*x^5*a*d-1/20*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^2*e+1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/10*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^5*e-1/10*I/c^5*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/40*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^4*e-3/10/c^5*b*e*ln(2)-3/20/c^5*b*d+1/10*I/c^3*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^2*e+1/40*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^4*e+1/20*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^2*e-1/20*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*x^4*e-1/10*I/c^3*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*x^2*e-1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-1/5*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2+1/10*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^5*e+1/5*I*b*arccoth(c*x)*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^5*e+1/10*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)*csgn(I*((c*x+1)/(c*x-1)-1))^2*x^5*e-1/10*I*b*arccoth(c*x)*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^5*e+1/10*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^5*e-1/5*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*x^5*e+1/10/c*b*ln(2)*x^4*e+1/5/c^3*b*ln(2)*x^2*e-2/5/c^5*b*ln((c*x+1)/(c*x-1)-1)*ln(2)*e+2/5/c^5*b*arccoth(c*x)*ln(2)*e-3/20*I/c^5*b*Pi*e-1/5*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e+1/20*I/c*b*Pi*x^4*e+1/10*I/c^3*b*Pi*x^2*e+3/40*I/c^5*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3-3/40*I/c^5*b*Pi*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3+3/20*I/c^5*b*Pi*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/5*I/c^5*b*Pi*e*arccoth(c*x)-3/40*I/c^5*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/5*I*b*arccoth(c*x)*Pi*x^5*e-3/40*I/c^5*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3-3/20*I/c^5*b*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2+1/5*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3-1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3+1/40*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^4*e+1/20*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^2*e-1/20*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^4*e-1/10*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^2*e+1/40*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^4*e+1/20*I/c^3*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^2*e-1/40*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^4*e-1/20*I/c^3*b*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^2*e+1/10*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^5*e-1/10*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^5*e+1/10*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^5*e-1/5*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^5*e+1/10*I/c^5*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))^3-3/40*I/c^5*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+3/20*I/c^5*b*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/5*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-3/40*I/c^5*b*Pi*e*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1))^3+1/10*I/c^5*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3+3/40*I/c^5*b*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))","C"
273,1,3514,221,3.720000," ","int(x^2*(a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1)),x)","\text{output too large to display}"," ",0,"-2/3*b*e*x*arccoth(c*x)/c^2-1/6/c^3*b*e*(2*arccoth(c*x)*x^3*c^3+c^2*x^2+2*arccoth(c*x)-2*ln((c*x+1)/(c*x-1)-1)-1)*ln((c*x-1)/(c*x+1))-1/3/c^3*b*e*ln(2)-2/9*a*e*x^3-2/9*b*e*x^3*arccoth(c*x)-1/6/c^3*b*d-2/3*a*e*x/c^2-5/18*b*e*x^2/c+1/6*b*d*x^2/c+5/18*e/c^3*b+1/3*a*e*x^3*ln(-c^2*x^2+1)+1/3*a*e/c^3*ln(c*x+1)-1/3*a*e/c^3*ln(c*x-1)-1/6*I/c^3*b*e*Pi+1/3*x^3*a*d+1/6*I/c*b*Pi*x^2*e+1/12*I/c^3*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3-1/12*I/c^3*b*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3-1/12*I/c^3*b*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/6*I/c^3*b*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/3*I/c^3*b*Pi*arccoth(c*x)*e-1/3*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e+1/3*I*b*arccoth(c*x)*Pi*x^3*e-1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/3*I/c^3*b*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*Pi*ln((c*x+1)/(c*x-1)-1)*e+1/12*I/c^3*b*Pi*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)+1/3/c^3*b*ln((c*x+1)/(c*x-1)-1)^2*e+1/3/c^3*b*arccoth(c*x)*d-8/9/c^3*b*arccoth(c*x)*e-1/3/c^3*b*d*ln((c*x+1)/(c*x-1)-1)+11/9/c^3*b*e*ln((c*x+1)/(c*x-1)-1)+1/3*b*arccoth(c*x)*x^3*d-1/6*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^3*e-1/12*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^2*e-1/6*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)+1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)-1/12*I/c*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^2*e+1/6*I/c*b*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^2*e-1/6*I*b*arccoth(c*x)*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))*x^3*e+1/3*I*b*arccoth(c*x)*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2*x^3*e+1/6*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^3*e+1/6*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^3*e+1/6*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*x^3*e-1/3*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*x^3*e+1/12*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^2*e+1/12*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*x^2*e+1/12*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)*x^2*e-1/6*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*x^2*e-1/6*I/c^3*b*Pi*arccoth(c*x)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+1/3*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2+1/6*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/6*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/6*I/c^3*b*arccoth(c*x)*Pi*e*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-1/3*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2+1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))-1/3*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2-1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/6*I/c^3*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*ln((c*x+1)/(c*x-1)-1)*e-1/3/c*b*ln((c*x+1)/(c*x-1)-1)*x^2*e+2/3/c^3*b*arccoth(c*x)*e*ln(2)-2/3/c^3*b*ln((c*x+1)/(c*x-1)-1)*ln(2)*e+2/3*b*arccoth(c*x)*ln(2)*x^3*e-2/3*b*arccoth(c*x)*ln((c*x+1)/(c*x-1)-1)*x^3*e+1/3/c*b*ln(2)*x^2*e+1/6*I*b*arccoth(c*x)*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^3*e-1/3*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^3*e-1/12*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^2*e+1/12*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^2*e+1/6*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))^3-1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3-1/6*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3-1/3*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/3*I/c^3*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/12*I/c^3*b*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*e*Pi-1/6*I/c^3*b*e*Pi*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2-1/12*I/c^3*b*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/12*I/c^3*b*Pi*e*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/12*I/c^3*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)+1/6*I/c^3*b*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2-1/6*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1))^3*x^3*e+1/6*I*b*arccoth(c*x)*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*x^3*e+1/12*I/c*b*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*x^2*e-1/6*I/c*b*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*x^2*e-1/6*I/c^3*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3+1/6*I/c^3*b*arccoth(c*x)*Pi*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3","C"
274,1,2210,102,1.798000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1)),x)","\frac{2 b \,\mathrm{arccoth}\left(c x \right) e \ln \left(2\right)}{c}-\frac{2 b \ln \left(\frac{c x +1}{c x -1}-1\right) \ln \left(2\right) e}{c}+2 b \,\mathrm{arccoth}\left(c x \right) \ln \left(2\right) x e -2 b e x \,\mathrm{arccoth}\left(c x \right)+a d x -2 a x e +\frac{b \ln \left(\frac{c x +1}{c x -1}-1\right)^{2} e}{c}+\frac{b \,\mathrm{arccoth}\left(c x \right) d}{c}-\frac{2 b \,\mathrm{arccoth}\left(c x \right) e}{c}-\frac{b d \ln \left(\frac{c x +1}{c x -1}-1\right)}{c}+\frac{2 b e \ln \left(\frac{c x +1}{c x -1}-1\right)}{c}+b \,\mathrm{arccoth}\left(c x \right) x d +a e x \ln \left(-c^{2} x^{2}+1\right)+\frac{a e \ln \left(c x +1\right)}{c}-\frac{a e \ln \left(c x -1\right)}{c}-2 b \,\mathrm{arccoth}\left(c x \right) \ln \left(\frac{c x +1}{c x -1}-1\right) x e -\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \,\mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \mathrm{csgn}\left(\frac{i}{\left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)}{2 c}+\frac{i b \,\mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i}{\left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) e \ln \left(\frac{c x +1}{c x -1}-1\right) \pi}{2 c}-\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \mathrm{csgn}\left(\frac{i}{\left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \pi  x e}{2}-\frac{\ln \left(\frac{c x -1}{c x +1}\right) \left(\mathrm{arccoth}\left(c x \right) x c +\mathrm{arccoth}\left(c x \right)-\ln \left(\frac{c x +1}{c x -1}-1\right)\right) b e}{c}-\frac{i b e \ln \left(\frac{c x +1}{c x -1}-1\right) \pi}{c}+\frac{i b e \,\mathrm{arccoth}\left(c x \right) \pi}{c}+i b \,\mathrm{arccoth}\left(c x \right) \pi  x e -\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)^{3}}{2 c}-\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{3}}{2 c}-\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)^{3}}{2 c}+\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)^{3}}{2 c}-\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2}}{c}+\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2}}{c}+\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \,\mathrm{csgn}\left(\frac{i}{\left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2}}{2 c}-\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \,\mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)\right) \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)^{2}}{c}+\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)\right)^{2} \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)}{2 c}-\frac{i b \,\mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{c x -1}{c x +1}}}\right)^{2} e \,\mathrm{arccoth}\left(c x \right) \pi}{2 c}-\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \,\mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2}}{2 c}-\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \,\mathrm{csgn}\left(\frac{i}{\left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2}}{2 c}-\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)\right)^{2} \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)}{2 c}-\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \,\mathrm{csgn}\left(\frac{i}{\sqrt{\frac{c x -1}{c x +1}}}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)^{2}}{c}+\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{c x -1}{c x +1}}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)}{2 c}+\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \pi  x e}{2}-i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)^{2} \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)\right) \pi  x e +\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right) \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)\right)^{2} \pi  x e}{2}-\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{c x -1}{c x +1}}}\right)^{2} \pi  x e}{2}+\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2} \mathrm{csgn}\left(\frac{i}{\left(\frac{c x +1}{c x -1}-1\right)^{2}}\right) \pi  x e}{2}+\frac{i b \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)^{2} \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{c x -1}{c x +1}}}\right) e \,\mathrm{arccoth}\left(c x \right) \pi}{c}+\frac{i b \pi  \ln \left(\frac{c x +1}{c x -1}-1\right) e \,\mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)\right) \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)^{2}}{c}+i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)^{2} \mathrm{csgn}\left(\frac{i}{\sqrt{\frac{c x -1}{c x +1}}}\right) \pi  x e +\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \,\mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2}}{2 c}+\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{3} \pi  x e}{2}+\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)^{3} \pi  x e}{2}-\frac{i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{c x -1}\right)^{3} \pi  x e}{2}-i b \,\mathrm{arccoth}\left(c x \right) \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{2} \pi  x e +\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \mathrm{csgn}\left(\frac{i \left(c x +1\right)}{\left(c x -1\right) \left(\frac{c x +1}{c x -1}-1\right)^{2}}\right)^{3}}{2 c}+\frac{i b \,\mathrm{arccoth}\left(c x \right) e \pi  \mathrm{csgn}\left(i \left(\frac{c x +1}{c x -1}-1\right)^{2}\right)^{3}}{2 c}"," ",0,"2/c*b*arccoth(c*x)*e*ln(2)-2/c*b*ln((c*x+1)/(c*x-1)-1)*ln(2)*e+2*b*arccoth(c*x)*ln(2)*x*e-2*b*e*x*arccoth(c*x)+a*d*x-2*a*x*e+I/c*b*e*arccoth(c*x)*Pi-1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))^3-1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3-1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3+1/c*b*ln((c*x+1)/(c*x-1)-1)^2*e+1/c*b*arccoth(c*x)*d-2/c*b*arccoth(c*x)*e-1/c*b*d*ln((c*x+1)/(c*x-1)-1)+2/c*b*e*ln((c*x+1)/(c*x-1)-1)+b*arccoth(c*x)*x*d+a*e*x*ln(-c^2*x^2+1)+a*e/c*ln(c*x+1)-a*e/c*ln(c*x-1)-2*b*arccoth(c*x)*ln((c*x+1)/(c*x-1)-1)*x*e+I/c*b*csgn(I*(c*x+1)/(c*x-1))^2*csgn(I/((c*x-1)/(c*x+1))^(1/2))*e*arccoth(c*x)*Pi+I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2+I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))^2*csgn(I/((c*x-1)/(c*x+1))^(1/2))*Pi*x*e+1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-I/c*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2+1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-1/2*I/c*b*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*e*arccoth(c*x)*Pi-1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2-1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*((c*x+1)/(c*x-1)-1))^2*csgn(I*((c*x+1)/(c*x-1)-1)^2)-I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))*csgn(I*(c*x+1)/(c*x-1))^2+1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*csgn(I*(c*x+1)/(c*x-1))+1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*(c*x+1)/(c*x-1))*Pi*x*e-I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)^2*csgn(I*((c*x+1)/(c*x-1)-1))*Pi*x*e-ln((c*x-1)/(c*x+1))*(arccoth(c*x)*x*c+arccoth(c*x)-ln((c*x+1)/(c*x-1)-1))*b*e/c-1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*x*e-1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)+1/2*I/c*b*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)*csgn(I/((c*x+1)/(c*x-1)-1)^2)*csgn(I*(c*x+1)/(c*x-1))*e*ln((c*x+1)/(c*x-1)-1)*Pi+I*b*arccoth(c*x)*Pi*x*e-I/c*b*e*ln((c*x+1)/(c*x-1)-1)*Pi+1/2*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)*csgn(I*((c*x+1)/(c*x-1)-1))^2*Pi*x*e-1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))*csgn(I/((c*x-1)/(c*x+1))^(1/2))^2*Pi*x*e+1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*csgn(I/((c*x+1)/(c*x-1)-1)^2)*Pi*x*e+1/2*I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1))^3-I/c*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+I/c*b*Pi*ln((c*x+1)/(c*x-1)-1)*e*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2+1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3*Pi*x*e+1/2*I*b*arccoth(c*x)*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3*Pi*x*e-1/2*I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1))^3*Pi*x*e-I*b*arccoth(c*x)*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^2*Pi*x*e+1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I*(c*x+1)/(c*x-1)/((c*x+1)/(c*x-1)-1)^2)^3+1/2*I/c*b*arccoth(c*x)*e*Pi*csgn(I*((c*x+1)/(c*x-1)-1)^2)^3","C"
275,0,0,101,5.649000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^2,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(-c^{2} x^{2}+1\right)\right)}{x^{2}}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^2,x)","F"
276,-2,0,183,180.000000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^4,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(-c^{2} x^{2}+1\right)\right)}{x^{4}}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^4,x)","F"
277,-2,0,234,180.000000," ","int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^6,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(-c^{2} x^{2}+1\right)\right)}{x^{6}}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(-c^2*x^2+1))/x^6,x)","F"
278,1,8491,448,3.145000," ","int(x*(a+b*arccoth(c*x))*(d+e*ln(g*x^2+f)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
279,0,0,432,2.963000," ","int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f)),x)","\int \left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(g \,x^{2}+f \right)\right)\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f)),x)","F"
280,0,0,92,1.488000," ","int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f))/x,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(g \,x^{2}+f \right)\right)}{x}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f))/x,x)","F"
281,0,0,442,2.197000," ","int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f))/x^2,x)","\int \frac{\left(a +b \,\mathrm{arccoth}\left(c x \right)\right) \left(d +e \ln \left(g \,x^{2}+f \right)\right)}{x^{2}}\, dx"," ",0,"int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f))/x^2,x)","F"
282,1,936,608,4.682000," ","int((a+b*arccoth(c*x))*(d+e*ln(g*x^2+f))/x^3,x)","\frac{d b \,c^{2} \ln \left(c x +1\right)}{4}-\frac{d b \ln \left(c x +1\right)}{4 x^{2}}+\frac{a e g \ln \left(x \right)}{f}-\frac{a e g \ln \left(g \,x^{2}+f \right)}{2 f}-\frac{d a}{2 x^{2}}-\frac{b c d}{2 x}+\left(-\frac{b e \ln \left(c x +1\right)}{4 x^{2}}+\frac{e \left(b \,c^{2} \ln \left(c x +1\right) x^{2}-b \,c^{2} \ln \left(c x -1\right) x^{2}-2 x b c +b \ln \left(c x -1\right)-2 a \right)}{4 x^{2}}\right) \ln \left(g \,x^{2}+f \right)-\frac{b e \dilog \left(\frac{c \sqrt{-f g}-\left(c x +1\right) g +g}{c \sqrt{-f g}+g}\right) c^{2}}{4}-\frac{b e \dilog \left(\frac{c \sqrt{-f g}+\left(c x +1\right) g -g}{c \sqrt{-f g}-g}\right) c^{2}}{4}+\frac{b e \dilog \left(\frac{c \sqrt{-f g}-\left(c x -1\right) g -g}{c \sqrt{-f g}-g}\right) c^{2}}{4}+\frac{b e \dilog \left(\frac{c \sqrt{-f g}+\left(c x -1\right) g +g}{c \sqrt{-f g}+g}\right) c^{2}}{4}-\frac{b e \ln \left(c x +1\right) \ln \left(\frac{c \sqrt{-f g}-\left(c x +1\right) g +g}{c \sqrt{-f g}+g}\right) c^{2}}{4}-\frac{b e \ln \left(c x +1\right) \ln \left(\frac{c \sqrt{-f g}+\left(c x +1\right) g -g}{c \sqrt{-f g}-g}\right) c^{2}}{4}-\frac{g b e \ln \left(c x +1\right) \ln \left(\frac{c \sqrt{-f g}-\left(c x +1\right) g +g}{c \sqrt{-f g}+g}\right)}{4 f}-\frac{g b e \ln \left(c x +1\right) \ln \left(\frac{c \sqrt{-f g}+\left(c x +1\right) g -g}{c \sqrt{-f g}-g}\right)}{4 f}+\frac{g e b c \arctan \left(\frac{x g}{\sqrt{f g}}\right)}{\sqrt{f g}}-\frac{d b \,c^{2} \ln \left(c x -1\right)}{4}+\frac{d b \ln \left(c x -1\right)}{4 x^{2}}+\frac{b e \ln \left(c x -1\right) \ln \left(\frac{c \sqrt{-f g}-\left(c x -1\right) g -g}{c \sqrt{-f g}-g}\right) c^{2}}{4}+\frac{b e \ln \left(c x -1\right) \ln \left(\frac{c \sqrt{-f g}+\left(c x -1\right) g +g}{c \sqrt{-f g}+g}\right) c^{2}}{4}+\frac{g b e \ln \left(c x -1\right) \ln \left(\frac{c \sqrt{-f g}-\left(c x -1\right) g -g}{c \sqrt{-f g}-g}\right)}{4 f}+\frac{g b e \ln \left(c x -1\right) \ln \left(\frac{c \sqrt{-f g}+\left(c x -1\right) g +g}{c \sqrt{-f g}+g}\right)}{4 f}-\frac{g b e \ln \left(c x -1\right) \ln \left(c x \right)}{2 f}-\frac{g b e \dilog \left(c x +1\right)}{2 f}-\frac{g b e \dilog \left(\frac{c \sqrt{-f g}-\left(c x +1\right) g +g}{c \sqrt{-f g}+g}\right)}{4 f}-\frac{g b e \dilog \left(\frac{c \sqrt{-f g}+\left(c x +1\right) g -g}{c \sqrt{-f g}-g}\right)}{4 f}+\frac{g b e \dilog \left(\frac{c \sqrt{-f g}-\left(c x -1\right) g -g}{c \sqrt{-f g}-g}\right)}{4 f}+\frac{g b e \dilog \left(\frac{c \sqrt{-f g}+\left(c x -1\right) g +g}{c \sqrt{-f g}+g}\right)}{4 f}-\frac{g b e \dilog \left(c x \right)}{2 f}"," ",0,"1/4*d*b*c^2*ln(c*x+1)-1/4*d*b*ln(c*x+1)/x^2+a*e*g*ln(x)/f-1/2*a*e*g*ln(g*x^2+f)/f-1/2/x^2*d*a-1/2*b*c*d/x+(-1/4*b*e/x^2*ln(c*x+1)+1/4*e*(b*c^2*ln(c*x+1)*x^2-b*c^2*ln(c*x-1)*x^2-2*x*b*c+b*ln(c*x-1)-2*a)/x^2)*ln(g*x^2+f)-1/2*g*b*e*dilog(c*x+1)/f-1/4*b*e*dilog((c*(-f*g)^(1/2)-(c*x+1)*g+g)/(c*(-f*g)^(1/2)+g))*c^2-1/4*b*e*dilog((c*(-f*g)^(1/2)+(c*x+1)*g-g)/(c*(-f*g)^(1/2)-g))*c^2-1/4*b*e*ln(c*x+1)*ln((c*(-f*g)^(1/2)-(c*x+1)*g+g)/(c*(-f*g)^(1/2)+g))*c^2-1/4*b*e*ln(c*x+1)*ln((c*(-f*g)^(1/2)+(c*x+1)*g-g)/(c*(-f*g)^(1/2)-g))*c^2-1/4*g*b*e/f*dilog((c*(-f*g)^(1/2)-(c*x+1)*g+g)/(c*(-f*g)^(1/2)+g))-1/4*g*b*e/f*dilog((c*(-f*g)^(1/2)+(c*x+1)*g-g)/(c*(-f*g)^(1/2)-g))-1/4*g*b*e/f*ln(c*x+1)*ln((c*(-f*g)^(1/2)-(c*x+1)*g+g)/(c*(-f*g)^(1/2)+g))-1/4*g*b*e/f*ln(c*x+1)*ln((c*(-f*g)^(1/2)+(c*x+1)*g-g)/(c*(-f*g)^(1/2)-g))+g*e*b*c/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))-1/4*d*b*c^2*ln(c*x-1)+1/4*d*b*ln(c*x-1)/x^2+1/4*b*e*ln(c*x-1)*ln((c*(-f*g)^(1/2)-(c*x-1)*g-g)/(c*(-f*g)^(1/2)-g))*c^2+1/4*b*e*ln(c*x-1)*ln((c*(-f*g)^(1/2)+(c*x-1)*g+g)/(c*(-f*g)^(1/2)+g))*c^2+1/4*g*b*e/f*dilog((c*(-f*g)^(1/2)-(c*x-1)*g-g)/(c*(-f*g)^(1/2)-g))+1/4*b*e*dilog((c*(-f*g)^(1/2)-(c*x-1)*g-g)/(c*(-f*g)^(1/2)-g))*c^2+1/4*b*e*dilog((c*(-f*g)^(1/2)+(c*x-1)*g+g)/(c*(-f*g)^(1/2)+g))*c^2+1/4*g*b*e/f*ln(c*x-1)*ln((c*(-f*g)^(1/2)-(c*x-1)*g-g)/(c*(-f*g)^(1/2)-g))+1/4*g*b*e/f*ln(c*x-1)*ln((c*(-f*g)^(1/2)+(c*x-1)*g+g)/(c*(-f*g)^(1/2)+g))-1/2*g*b*e/f*ln(c*x-1)*ln(c*x)+1/4*g*b*e/f*dilog((c*(-f*g)^(1/2)+(c*x-1)*g+g)/(c*(-f*g)^(1/2)+g))-1/2*g*b*e/f*dilog(c*x)","A"
283,1,31,19,0.100000," ","int(arccoth(exp(x)),x)","\ln \left({\mathrm e}^{x}\right) \mathrm{arccoth}\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))*arccoth(exp(x))-1/2*dilog(exp(x))-1/2*dilog(exp(x)+1)-1/2*ln(exp(x))*ln(exp(x)+1)","A"
284,1,62,39,0.065000," ","int(x*arccoth(exp(x)),x)","\frac{x^{2} \mathrm{arccoth}\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*arccoth(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"
285,1,79,60,0.064000," ","int(x^2*arccoth(exp(x)),x)","\frac{x^{3} \mathrm{arccoth}\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*arccoth(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"
286,1,67,35,0.069000," ","int(arccoth(exp(b*x+a)),x)","\frac{\ln \left({\mathrm e}^{b x +a}\right) \mathrm{arccoth}\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))*arccoth(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)","A"
287,1,153,71,0.075000," ","int(x*arccoth(exp(b*x+a)),x)","\frac{x^{2} \mathrm{arccoth}\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*arccoth(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"
288,1,185,109,0.073000," ","int(x^2*arccoth(exp(b*x+a)),x)","\frac{x^{3} \mathrm{arccoth}\left({\mathrm e}^{b x +a}\right)}{3}-\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{a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{3 b^{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{x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{\ln \left({\mathrm e}^{b x +a}+1\right) x^{3}}{6}-\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*arccoth(exp(b*x+a))-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+1/3/b^3*a^3*arctanh(exp(b*x+a))+polylog(4,exp(b*x+a))/b^3-polylog(4,-exp(b*x+a))/b^3-x*polylog(3,exp(b*x+a))/b^2-1/6*ln(exp(b*x+a)+1)*x^3-1/6/b^3*ln(exp(b*x+a)+1)*a^3+1/6/b^3*ln(1-exp(b*x+a))*a^3","A"
289,1,164,164,0.150000," ","int(arccoth(a+b*f^(d*x+c)),x)","\frac{\ln \left(b \,f^{d x +c}\right) \mathrm{arccoth}\left(a +b \,f^{d x +c}\right)}{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)}-\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)}"," ",0,"1/d/ln(f)*ln(b*f^(d*x+c))*arccoth(a+b*f^(d*x+c))+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))-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))","A"
290,1,590,200,0.185000," ","int(x*arccoth(a+b*f^(d*x+c)),x)","-\frac{x^{2} \ln \left(b \,f^{d x +c}+a -1\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{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}}+\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(f^{c} f^{d x} b +a -1\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}}"," ",0,"-1/4*x^2*ln(b*f^(d*x+c)+a-1)+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((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))+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(f^c*f^(d*x)*b+a-1)-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))","B"
291,1,666,257,0.184000," ","int(x^2*arccoth(a+b*f^(d*x+c)),x)","-\frac{x^{3} \ln \left(b \,f^{d x +c}+a -1\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{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}}+\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(f^{c} f^{d x} b +a -1\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}}"," ",0,"-1/6*x^3*ln(b*f^(d*x+c)+a-1)+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((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))+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(f^c*f^(d*x)*b+a-1)+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))","B"
292,1,19,15,0.066000," ","int(1/(-a*x^2+a)/(b-2*b*arccoth(x)),x)","-\frac{\ln \left(2 b \,\mathrm{arccoth}\left(x \right)-b \right)}{2 a b}"," ",0,"-1/2/a*ln(2*b*arccoth(x)-b)/b","A"
293,1,46,40,0.068000," ","int(x^3*arccoth(b*x^4+a),x)","\frac{\mathrm{arccoth}\left(b \,x^{4}+a \right) x^{4}}{4}+\frac{\mathrm{arccoth}\left(b \,x^{4}+a \right) a}{4 b}+\frac{\ln \left(\left(b \,x^{4}+a \right)^{2}-1\right)}{8 b}"," ",0,"1/4*arccoth(b*x^4+a)*x^4+1/4/b*arccoth(b*x^4+a)*a+1/8/b*ln((b*x^4+a)^2-1)","A"
294,1,118,45,0.129000," ","int(x^(-1+n)*arccoth(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 n b}+\frac{\ln \left(x^{n}+\frac{1+a}{b}\right) a}{2 n b}+\frac{\ln \left(x^{n}+\frac{a -1}{b}\right)}{2 n b}+\frac{\ln \left(x^{n}+\frac{1+a}{b}\right)}{2 n b}"," ",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/n/b*ln(x^n+(a-1)/b)*a+1/2/n/b*ln(x^n+(1+a)/b)*a+1/2/n/b*ln(x^n+(a-1)/b)+1/2/n/b*ln(x^n+(1+a)/b)","B"
295,1,794,92,0.513000," ","int(exp(c*(b*x+a))*arccoth(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 {\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 \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 \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 \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 {\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{{\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(\sqrt{2}-1\right)^{2}\right) \sqrt{2}}{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{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(\sqrt{2}-1\right)^{2}\right)}{2 b c}+\frac{\ln \left({\mathrm e}^{2 c \left(b x +a \right)}-\left(1+\sqrt{2}\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(-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(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(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))-1/4*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(-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))-1/2/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))-(2^(1/2)-1)^2)*2^(1/2)+1/2/b/c*ln(exp(2*c*(b*x+a))-(1+2^(1/2))^2)*2^(1/2)-2*a/b+1/2/b/c*ln(exp(2*c*(b*x+a))-(2^(1/2)-1)^2)+1/2/b/c*ln(exp(2*c*(b*x+a))-(1+2^(1/2))^2)","C"
296,1,824,47,0.430000," ","int(exp(c*(b*x+a))*arccoth(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 {\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)^{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)\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 \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 {\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 {\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)} \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)^{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(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 {\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{{\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)))*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)^3*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))-1)^2)*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)))*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)))*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))*(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)^3*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))-1/4*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/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"
297,1,349,43,0.384000," ","int(exp(c*(b*x+a))*arccoth(tanh(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}+\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)}+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)-\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}+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(\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+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))+1))*csgn(I*exp(2*c*(b*x+a))/(exp(2*c*(b*x+a))+1))-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+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))/(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"
298,1,68,43,0.294000," ","int(exp(c*(b*x+a))*arccoth(coth(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(\mathrm{arccoth}\left(\coth \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)*(arccoth(coth(b*c*x+a*c))-x*b*c-a*c))","A"
299,1,939,47,0.482000," ","int(exp(c*(b*x+a))*arccoth(sech(b*c*x+a*c)),x)","\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)^{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(\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)^{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 {\mathrm e}^{c \left(b x +a \right)} \pi}{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{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(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) \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(\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)^{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)^{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)\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(\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,"1/2*I/b/c*Pi*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)^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))-1/4*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))-1/2*I/b/c*exp(c*(b*x+a))*Pi+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))-1/4*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*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(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(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))+1/4*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)^3*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/(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"
300,1,920,92,0.646000," ","int(exp(c*(b*x+a))*arccoth(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 \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)^{2} {\mathrm e}^{c \left(b x +a \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 \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(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 \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(\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 {\mathrm e}^{c \left(b x +a \right)} \pi}{2 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)*(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(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))+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))+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))-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))+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))-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))-1/2*I/b/c*exp(c*(b*x+a))*Pi-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"