1,1,2351,0,0.233134," ","integrate((e*x+d)^4*(a+b*arctanh(c*x)),x, algorithm=""giac"")","-\frac{{\left(\frac{15 \, {\left(c x + 1\right)}^{5} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{5}} - \frac{75 \, {\left(c x + 1\right)}^{4} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{4}} + \frac{150 \, {\left(c x + 1\right)}^{3} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} - \frac{150 \, {\left(c x + 1\right)}^{2} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} + \frac{75 \, {\left(c x + 1\right)} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} - 15 \, b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{15 \, {\left(c x + 1\right)}^{5} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{5}} + \frac{60 \, {\left(c x + 1\right)}^{4} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{4}} - \frac{90 \, {\left(c x + 1\right)}^{3} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{60 \, {\left(c x + 1\right)}^{2} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{15 \, {\left(c x + 1\right)} b c^{4} d^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{30 \, {\left(c x + 1\right)}^{4} a c^{4} d^{4}}{{\left(c x - 1\right)}^{4}} + \frac{120 \, {\left(c x + 1\right)}^{3} a c^{4} d^{4}}{{\left(c x - 1\right)}^{3}} - \frac{180 \, {\left(c x + 1\right)}^{2} a c^{4} d^{4}}{{\left(c x - 1\right)}^{2}} + \frac{120 \, {\left(c x + 1\right)} a c^{4} d^{4}}{c x - 1} - 30 \, a c^{4} d^{4} - \frac{60 \, {\left(c x + 1\right)}^{4} b c^{3} d^{3} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{4}} + \frac{180 \, {\left(c x + 1\right)}^{3} b c^{3} d^{3} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{180 \, {\left(c x + 1\right)}^{2} b c^{3} d^{3} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{60 \, {\left(c x + 1\right)} b c^{3} d^{3} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{120 \, {\left(c x + 1\right)}^{4} a c^{3} d^{3} e}{{\left(c x - 1\right)}^{4}} + \frac{360 \, {\left(c x + 1\right)}^{3} a c^{3} d^{3} e}{{\left(c x - 1\right)}^{3}} - \frac{360 \, {\left(c x + 1\right)}^{2} a c^{3} d^{3} e}{{\left(c x - 1\right)}^{2}} + \frac{120 \, {\left(c x + 1\right)} a c^{3} d^{3} e}{c x - 1} - \frac{60 \, {\left(c x + 1\right)}^{4} b c^{3} d^{3} e}{{\left(c x - 1\right)}^{4}} + \frac{240 \, {\left(c x + 1\right)}^{3} b c^{3} d^{3} e}{{\left(c x - 1\right)}^{3}} - \frac{360 \, {\left(c x + 1\right)}^{2} b c^{3} d^{3} e}{{\left(c x - 1\right)}^{2}} + \frac{240 \, {\left(c x + 1\right)} b c^{3} d^{3} e}{c x - 1} - 60 \, b c^{3} d^{3} e + \frac{30 \, {\left(c x + 1\right)}^{5} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{5}} - \frac{150 \, {\left(c x + 1\right)}^{4} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{4}} + \frac{300 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} - \frac{300 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} + \frac{150 \, {\left(c x + 1\right)} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} - 30 \, b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{30 \, {\left(c x + 1\right)}^{5} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{5}} + \frac{60 \, {\left(c x + 1\right)}^{4} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{4}} - \frac{120 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{180 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{90 \, {\left(c x + 1\right)} b c^{2} d^{2} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{180 \, {\left(c x + 1\right)}^{4} a c^{2} d^{2} e^{2}}{{\left(c x - 1\right)}^{4}} + \frac{360 \, {\left(c x + 1\right)}^{3} a c^{2} d^{2} e^{2}}{{\left(c x - 1\right)}^{3}} - \frac{240 \, {\left(c x + 1\right)}^{2} a c^{2} d^{2} e^{2}}{{\left(c x - 1\right)}^{2}} + \frac{120 \, {\left(c x + 1\right)} a c^{2} d^{2} e^{2}}{c x - 1} - 60 \, a c^{2} d^{2} e^{2} - \frac{60 \, {\left(c x + 1\right)}^{4} b c^{2} d^{2} e^{2}}{{\left(c x - 1\right)}^{4}} + \frac{180 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} e^{2}}{{\left(c x - 1\right)}^{3}} - \frac{180 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} e^{2}}{{\left(c x - 1\right)}^{2}} + \frac{60 \, {\left(c x + 1\right)} b c^{2} d^{2} e^{2}}{c x - 1} - \frac{60 \, {\left(c x + 1\right)}^{4} b c d e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{4}} + \frac{60 \, {\left(c x + 1\right)}^{3} b c d e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{60 \, {\left(c x + 1\right)}^{2} b c d e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{60 \, {\left(c x + 1\right)} b c d e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{120 \, {\left(c x + 1\right)}^{4} a c d e^{3}}{{\left(c x - 1\right)}^{4}} + \frac{120 \, {\left(c x + 1\right)}^{3} a c d e^{3}}{{\left(c x - 1\right)}^{3}} - \frac{120 \, {\left(c x + 1\right)}^{2} a c d e^{3}}{{\left(c x - 1\right)}^{2}} + \frac{120 \, {\left(c x + 1\right)} a c d e^{3}}{c x - 1} - \frac{60 \, {\left(c x + 1\right)}^{4} b c d e^{3}}{{\left(c x - 1\right)}^{4}} + \frac{180 \, {\left(c x + 1\right)}^{3} b c d e^{3}}{{\left(c x - 1\right)}^{3}} - \frac{220 \, {\left(c x + 1\right)}^{2} b c d e^{3}}{{\left(c x - 1\right)}^{2}} + \frac{140 \, {\left(c x + 1\right)} b c d e^{3}}{c x - 1} - 40 \, b c d e^{3} + \frac{3 \, {\left(c x + 1\right)}^{5} b e^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{5}} - \frac{15 \, {\left(c x + 1\right)}^{4} b e^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{4}} + \frac{30 \, {\left(c x + 1\right)}^{3} b e^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} - \frac{30 \, {\left(c x + 1\right)}^{2} b e^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} + \frac{15 \, {\left(c x + 1\right)} b e^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} - 3 \, b e^{4} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{3 \, {\left(c x + 1\right)}^{5} b e^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{5}} - \frac{30 \, {\left(c x + 1\right)}^{3} b e^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{15 \, {\left(c x + 1\right)} b e^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{30 \, {\left(c x + 1\right)}^{4} a e^{4}}{{\left(c x - 1\right)}^{4}} - \frac{60 \, {\left(c x + 1\right)}^{2} a e^{4}}{{\left(c x - 1\right)}^{2}} - 6 \, a e^{4} - \frac{12 \, {\left(c x + 1\right)}^{4} b e^{4}}{{\left(c x - 1\right)}^{4}} + \frac{24 \, {\left(c x + 1\right)}^{3} b e^{4}}{{\left(c x - 1\right)}^{3}} - \frac{24 \, {\left(c x + 1\right)}^{2} b e^{4}}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} b e^{4}}{c x - 1}\right)} c}{15 \, {\left(\frac{{\left(c x + 1\right)}^{5} c^{6}}{{\left(c x - 1\right)}^{5}} - \frac{5 \, {\left(c x + 1\right)}^{4} c^{6}}{{\left(c x - 1\right)}^{4}} + \frac{10 \, {\left(c x + 1\right)}^{3} c^{6}}{{\left(c x - 1\right)}^{3}} - \frac{10 \, {\left(c x + 1\right)}^{2} c^{6}}{{\left(c x - 1\right)}^{2}} + \frac{5 \, {\left(c x + 1\right)} c^{6}}{c x - 1} - c^{6}\right)}}"," ",0,"-1/15*(15*(c*x + 1)^5*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^5 - 75*(c*x + 1)^4*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^4 + 150*(c*x + 1)^3*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 - 150*(c*x + 1)^2*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 + 75*(c*x + 1)*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) - 15*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1) + 1) - 15*(c*x + 1)^5*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^5 + 60*(c*x + 1)^4*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^4 - 90*(c*x + 1)^3*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 60*(c*x + 1)^2*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 15*(c*x + 1)*b*c^4*d^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 30*(c*x + 1)^4*a*c^4*d^4/(c*x - 1)^4 + 120*(c*x + 1)^3*a*c^4*d^4/(c*x - 1)^3 - 180*(c*x + 1)^2*a*c^4*d^4/(c*x - 1)^2 + 120*(c*x + 1)*a*c^4*d^4/(c*x - 1) - 30*a*c^4*d^4 - 60*(c*x + 1)^4*b*c^3*d^3*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^4 + 180*(c*x + 1)^3*b*c^3*d^3*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 180*(c*x + 1)^2*b*c^3*d^3*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + 60*(c*x + 1)*b*c^3*d^3*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 120*(c*x + 1)^4*a*c^3*d^3*e/(c*x - 1)^4 + 360*(c*x + 1)^3*a*c^3*d^3*e/(c*x - 1)^3 - 360*(c*x + 1)^2*a*c^3*d^3*e/(c*x - 1)^2 + 120*(c*x + 1)*a*c^3*d^3*e/(c*x - 1) - 60*(c*x + 1)^4*b*c^3*d^3*e/(c*x - 1)^4 + 240*(c*x + 1)^3*b*c^3*d^3*e/(c*x - 1)^3 - 360*(c*x + 1)^2*b*c^3*d^3*e/(c*x - 1)^2 + 240*(c*x + 1)*b*c^3*d^3*e/(c*x - 1) - 60*b*c^3*d^3*e + 30*(c*x + 1)^5*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^5 - 150*(c*x + 1)^4*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^4 + 300*(c*x + 1)^3*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 - 300*(c*x + 1)^2*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 + 150*(c*x + 1)*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) - 30*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1) + 1) - 30*(c*x + 1)^5*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^5 + 60*(c*x + 1)^4*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^4 - 120*(c*x + 1)^3*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 180*(c*x + 1)^2*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 90*(c*x + 1)*b*c^2*d^2*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 180*(c*x + 1)^4*a*c^2*d^2*e^2/(c*x - 1)^4 + 360*(c*x + 1)^3*a*c^2*d^2*e^2/(c*x - 1)^3 - 240*(c*x + 1)^2*a*c^2*d^2*e^2/(c*x - 1)^2 + 120*(c*x + 1)*a*c^2*d^2*e^2/(c*x - 1) - 60*a*c^2*d^2*e^2 - 60*(c*x + 1)^4*b*c^2*d^2*e^2/(c*x - 1)^4 + 180*(c*x + 1)^3*b*c^2*d^2*e^2/(c*x - 1)^3 - 180*(c*x + 1)^2*b*c^2*d^2*e^2/(c*x - 1)^2 + 60*(c*x + 1)*b*c^2*d^2*e^2/(c*x - 1) - 60*(c*x + 1)^4*b*c*d*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^4 + 60*(c*x + 1)^3*b*c*d*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 60*(c*x + 1)^2*b*c*d*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + 60*(c*x + 1)*b*c*d*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 120*(c*x + 1)^4*a*c*d*e^3/(c*x - 1)^4 + 120*(c*x + 1)^3*a*c*d*e^3/(c*x - 1)^3 - 120*(c*x + 1)^2*a*c*d*e^3/(c*x - 1)^2 + 120*(c*x + 1)*a*c*d*e^3/(c*x - 1) - 60*(c*x + 1)^4*b*c*d*e^3/(c*x - 1)^4 + 180*(c*x + 1)^3*b*c*d*e^3/(c*x - 1)^3 - 220*(c*x + 1)^2*b*c*d*e^3/(c*x - 1)^2 + 140*(c*x + 1)*b*c*d*e^3/(c*x - 1) - 40*b*c*d*e^3 + 3*(c*x + 1)^5*b*e^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^5 - 15*(c*x + 1)^4*b*e^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^4 + 30*(c*x + 1)^3*b*e^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 - 30*(c*x + 1)^2*b*e^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 + 15*(c*x + 1)*b*e^4*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) - 3*b*e^4*log(-(c*x + 1)/(c*x - 1) + 1) - 3*(c*x + 1)^5*b*e^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^5 - 30*(c*x + 1)^3*b*e^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 15*(c*x + 1)*b*e^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 30*(c*x + 1)^4*a*e^4/(c*x - 1)^4 - 60*(c*x + 1)^2*a*e^4/(c*x - 1)^2 - 6*a*e^4 - 12*(c*x + 1)^4*b*e^4/(c*x - 1)^4 + 24*(c*x + 1)^3*b*e^4/(c*x - 1)^3 - 24*(c*x + 1)^2*b*e^4/(c*x - 1)^2 + 12*(c*x + 1)*b*e^4/(c*x - 1))*c/((c*x + 1)^5*c^6/(c*x - 1)^5 - 5*(c*x + 1)^4*c^6/(c*x - 1)^4 + 10*(c*x + 1)^3*c^6/(c*x - 1)^3 - 10*(c*x + 1)^2*c^6/(c*x - 1)^2 + 5*(c*x + 1)*c^6/(c*x - 1) - c^6)","B",0
2,1,1375,0,0.190369," ","integrate((e*x+d)^3*(a+b*arctanh(c*x)),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, {\left(c x + 1\right)}^{4} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{4}} - \frac{12 \, {\left(c x + 1\right)}^{3} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} + \frac{18 \, {\left(c x + 1\right)}^{2} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} - \frac{12 \, {\left(c x + 1\right)} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} + 3 \, b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{3 \, {\left(c x + 1\right)}^{4} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{4}} + \frac{9 \, {\left(c x + 1\right)}^{3} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{9 \, {\left(c x + 1\right)}^{2} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{3 \, {\left(c x + 1\right)} b c^{3} d^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{3} a c^{3} d^{3}}{{\left(c x - 1\right)}^{3}} + \frac{18 \, {\left(c x + 1\right)}^{2} a c^{3} d^{3}}{{\left(c x - 1\right)}^{2}} - \frac{18 \, {\left(c x + 1\right)} a c^{3} d^{3}}{c x - 1} + 6 \, a c^{3} d^{3} - \frac{9 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{18 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{9 \, {\left(c x + 1\right)} b c^{2} d^{2} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{18 \, {\left(c x + 1\right)}^{3} a c^{2} d^{2} e}{{\left(c x - 1\right)}^{3}} + \frac{36 \, {\left(c x + 1\right)}^{2} a c^{2} d^{2} e}{{\left(c x - 1\right)}^{2}} - \frac{18 \, {\left(c x + 1\right)} a c^{2} d^{2} e}{c x - 1} - \frac{9 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} e}{{\left(c x - 1\right)}^{3}} + \frac{27 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} e}{{\left(c x - 1\right)}^{2}} - \frac{27 \, {\left(c x + 1\right)} b c^{2} d^{2} e}{c x - 1} + 9 \, b c^{2} d^{2} e + \frac{3 \, {\left(c x + 1\right)}^{4} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{4}} - \frac{12 \, {\left(c x + 1\right)}^{3} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} + \frac{18 \, {\left(c x + 1\right)}^{2} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} - \frac{12 \, {\left(c x + 1\right)} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} + 3 \, b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{3 \, {\left(c x + 1\right)}^{4} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{4}} + \frac{3 \, {\left(c x + 1\right)}^{3} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{9 \, {\left(c x + 1\right)}^{2} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{9 \, {\left(c x + 1\right)} b c d e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{18 \, {\left(c x + 1\right)}^{3} a c d e^{2}}{{\left(c x - 1\right)}^{3}} + \frac{18 \, {\left(c x + 1\right)}^{2} a c d e^{2}}{{\left(c x - 1\right)}^{2}} - \frac{6 \, {\left(c x + 1\right)} a c d e^{2}}{c x - 1} + 6 \, a c d e^{2} - \frac{6 \, {\left(c x + 1\right)}^{3} b c d e^{2}}{{\left(c x - 1\right)}^{3}} + \frac{12 \, {\left(c x + 1\right)}^{2} b c d e^{2}}{{\left(c x - 1\right)}^{2}} - \frac{6 \, {\left(c x + 1\right)} b c d e^{2}}{c x - 1} - \frac{3 \, {\left(c x + 1\right)}^{3} b e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)} b e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{3} a e^{3}}{{\left(c x - 1\right)}^{3}} - \frac{6 \, {\left(c x + 1\right)} a e^{3}}{c x - 1} - \frac{3 \, {\left(c x + 1\right)}^{3} b e^{3}}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)}^{2} b e^{3}}{{\left(c x - 1\right)}^{2}} - \frac{5 \, {\left(c x + 1\right)} b e^{3}}{c x - 1} + 2 \, b e^{3}\right)} c}{3 \, {\left(\frac{{\left(c x + 1\right)}^{4} c^{5}}{{\left(c x - 1\right)}^{4}} - \frac{4 \, {\left(c x + 1\right)}^{3} c^{5}}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)}^{2} c^{5}}{{\left(c x - 1\right)}^{2}} - \frac{4 \, {\left(c x + 1\right)} c^{5}}{c x - 1} + c^{5}\right)}}"," ",0,"-1/3*(3*(c*x + 1)^4*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^4 - 12*(c*x + 1)^3*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 + 18*(c*x + 1)^2*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 - 12*(c*x + 1)*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) + 3*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1) + 1) - 3*(c*x + 1)^4*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^4 + 9*(c*x + 1)^3*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 9*(c*x + 1)^2*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + 3*(c*x + 1)*b*c^3*d^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 6*(c*x + 1)^3*a*c^3*d^3/(c*x - 1)^3 + 18*(c*x + 1)^2*a*c^3*d^3/(c*x - 1)^2 - 18*(c*x + 1)*a*c^3*d^3/(c*x - 1) + 6*a*c^3*d^3 - 9*(c*x + 1)^3*b*c^2*d^2*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 18*(c*x + 1)^2*b*c^2*d^2*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 9*(c*x + 1)*b*c^2*d^2*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 18*(c*x + 1)^3*a*c^2*d^2*e/(c*x - 1)^3 + 36*(c*x + 1)^2*a*c^2*d^2*e/(c*x - 1)^2 - 18*(c*x + 1)*a*c^2*d^2*e/(c*x - 1) - 9*(c*x + 1)^3*b*c^2*d^2*e/(c*x - 1)^3 + 27*(c*x + 1)^2*b*c^2*d^2*e/(c*x - 1)^2 - 27*(c*x + 1)*b*c^2*d^2*e/(c*x - 1) + 9*b*c^2*d^2*e + 3*(c*x + 1)^4*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^4 - 12*(c*x + 1)^3*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 + 18*(c*x + 1)^2*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 - 12*(c*x + 1)*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) + 3*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1) + 1) - 3*(c*x + 1)^4*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^4 + 3*(c*x + 1)^3*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 9*(c*x + 1)^2*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + 9*(c*x + 1)*b*c*d*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 18*(c*x + 1)^3*a*c*d*e^2/(c*x - 1)^3 + 18*(c*x + 1)^2*a*c*d*e^2/(c*x - 1)^2 - 6*(c*x + 1)*a*c*d*e^2/(c*x - 1) + 6*a*c*d*e^2 - 6*(c*x + 1)^3*b*c*d*e^2/(c*x - 1)^3 + 12*(c*x + 1)^2*b*c*d*e^2/(c*x - 1)^2 - 6*(c*x + 1)*b*c*d*e^2/(c*x - 1) - 3*(c*x + 1)^3*b*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 3*(c*x + 1)*b*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 6*(c*x + 1)^3*a*e^3/(c*x - 1)^3 - 6*(c*x + 1)*a*e^3/(c*x - 1) - 3*(c*x + 1)^3*b*e^3/(c*x - 1)^3 + 6*(c*x + 1)^2*b*e^3/(c*x - 1)^2 - 5*(c*x + 1)*b*e^3/(c*x - 1) + 2*b*e^3)*c/((c*x + 1)^4*c^5/(c*x - 1)^4 - 4*(c*x + 1)^3*c^5/(c*x - 1)^3 + 6*(c*x + 1)^2*c^5/(c*x - 1)^2 - 4*(c*x + 1)*c^5/(c*x - 1) + c^5)","B",0
3,1,785,0,0.389876," ","integrate((e*x+d)^2*(a+b*arctanh(c*x)),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} - \frac{9 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} + \frac{9 \, {\left(c x + 1\right)} b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} - 3 \, b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{3 \, {\left(c x + 1\right)}^{3} b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)}^{2} b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} b c^{2} d^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{2} a c^{2} d^{2}}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} a c^{2} d^{2}}{c x - 1} - 6 \, a c^{2} d^{2} - \frac{6 \, {\left(c x + 1\right)}^{2} b c d e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{6 \, {\left(c x + 1\right)} b c d e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{12 \, {\left(c x + 1\right)}^{2} a c d e}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} a c d e}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{2} b c d e}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} b c d e}{c x - 1} - 6 \, b c d e + \frac{{\left(c x + 1\right)}^{3} b e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)}^{2} b e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} + \frac{3 \, {\left(c x + 1\right)} b e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} - b e^{2} \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{{\left(c x + 1\right)}^{3} b e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)} b e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{2} a e^{2}}{{\left(c x - 1\right)}^{2}} - 2 \, a e^{2} - \frac{2 \, {\left(c x + 1\right)}^{2} b e^{2}}{{\left(c x - 1\right)}^{2}} + \frac{2 \, {\left(c x + 1\right)} b e^{2}}{c x - 1}\right)} c}{3 \, {\left(\frac{{\left(c x + 1\right)}^{3} c^{4}}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)}^{2} c^{4}}{{\left(c x - 1\right)}^{2}} + \frac{3 \, {\left(c x + 1\right)} c^{4}}{c x - 1} - c^{4}\right)}}"," ",0,"-1/3*(3*(c*x + 1)^3*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 - 9*(c*x + 1)^2*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 + 9*(c*x + 1)*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) - 3*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1) + 1) - 3*(c*x + 1)^3*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 6*(c*x + 1)^2*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 3*(c*x + 1)*b*c^2*d^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 6*(c*x + 1)^2*a*c^2*d^2/(c*x - 1)^2 + 12*(c*x + 1)*a*c^2*d^2/(c*x - 1) - 6*a*c^2*d^2 - 6*(c*x + 1)^2*b*c*d*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + 6*(c*x + 1)*b*c*d*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 12*(c*x + 1)^2*a*c*d*e/(c*x - 1)^2 + 12*(c*x + 1)*a*c*d*e/(c*x - 1) - 6*(c*x + 1)^2*b*c*d*e/(c*x - 1)^2 + 12*(c*x + 1)*b*c*d*e/(c*x - 1) - 6*b*c*d*e + (c*x + 1)^3*b*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^3 - 3*(c*x + 1)^2*b*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 + 3*(c*x + 1)*b*e^2*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) - b*e^2*log(-(c*x + 1)/(c*x - 1) + 1) - (c*x + 1)^3*b*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 3*(c*x + 1)*b*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 6*(c*x + 1)^2*a*e^2/(c*x - 1)^2 - 2*a*e^2 - 2*(c*x + 1)^2*b*e^2/(c*x - 1)^2 + 2*(c*x + 1)*b*e^2/(c*x - 1))*c/((c*x + 1)^3*c^4/(c*x - 1)^3 - 3*(c*x + 1)^2*c^4/(c*x - 1)^2 + 3*(c*x + 1)*c^4/(c*x - 1) - c^4)","B",0
4,1,292,0,0.205654," ","integrate((e*x+d)*(a+b*arctanh(c*x)),x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(c x + 1\right)}^{2} b c d \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{{\left(c x - 1\right)}^{2}} - \frac{2 \, {\left(c x + 1\right)} b c d \log\left(-\frac{c x + 1}{c x - 1} + 1\right)}{c x - 1} + b c d \log\left(-\frac{c x + 1}{c x - 1} + 1\right) - \frac{{\left(c x + 1\right)}^{2} b c d \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{{\left(c x + 1\right)} b c d \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{2 \, {\left(c x + 1\right)} a c d}{c x - 1} + 2 \, a c d - \frac{{\left(c x + 1\right)} b e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{2 \, {\left(c x + 1\right)} a e}{c x - 1} - \frac{{\left(c x + 1\right)} b e}{c x - 1} + b e\right)} c}{\frac{{\left(c x + 1\right)}^{2} c^{3}}{{\left(c x - 1\right)}^{2}} - \frac{2 \, {\left(c x + 1\right)} c^{3}}{c x - 1} + c^{3}}"," ",0,"-((c*x + 1)^2*b*c*d*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1)^2 - 2*(c*x + 1)*b*c*d*log(-(c*x + 1)/(c*x - 1) + 1)/(c*x - 1) + b*c*d*log(-(c*x + 1)/(c*x - 1) + 1) - (c*x + 1)^2*b*c*d*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + (c*x + 1)*b*c*d*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 2*(c*x + 1)*a*c*d/(c*x - 1) + 2*a*c*d - (c*x + 1)*b*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 2*(c*x + 1)*a*e/(c*x - 1) - (c*x + 1)*b*e/(c*x - 1) + b*e)*c/((c*x + 1)^2*c^3/(c*x - 1)^2 - 2*(c*x + 1)*c^3/(c*x - 1) + c^3)","B",0
5,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c x\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)/(e*x + d), x)","F",0
6,1,374,0,0.181177," ","integrate((a+b*arctanh(c*x))/(e*x+d)^2,x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(c x + 1\right)} b c d \log\left(\frac{{\left(c x + 1\right)} c d}{c x - 1} - c d + \frac{{\left(c x + 1\right)} e}{c x - 1} + e\right)}{c x - 1} - b c d \log\left(\frac{{\left(c x + 1\right)} c d}{c x - 1} - c d + \frac{{\left(c x + 1\right)} e}{c x - 1} + e\right) - \frac{{\left(c x + 1\right)} b c d \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - 2 \, a c d + \frac{{\left(c x + 1\right)} b e \log\left(\frac{{\left(c x + 1\right)} c d}{c x - 1} - c d + \frac{{\left(c x + 1\right)} e}{c x - 1} + e\right)}{c x - 1} + b e \log\left(\frac{{\left(c x + 1\right)} c d}{c x - 1} - c d + \frac{{\left(c x + 1\right)} e}{c x - 1} + e\right) - \frac{{\left(c x + 1\right)} b e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} + 2 \, a e\right)} c}{\frac{{\left(c x + 1\right)} c^{3} d^{3}}{c x - 1} - c^{3} d^{3} + \frac{{\left(c x + 1\right)} c^{2} d^{2} e}{c x - 1} + c^{2} d^{2} e - \frac{{\left(c x + 1\right)} c d e^{2}}{c x - 1} + c d e^{2} - \frac{{\left(c x + 1\right)} e^{3}}{c x - 1} - e^{3}}"," ",0,"-((c*x + 1)*b*c*d*log((c*x + 1)*c*d/(c*x - 1) - c*d + (c*x + 1)*e/(c*x - 1) + e)/(c*x - 1) - b*c*d*log((c*x + 1)*c*d/(c*x - 1) - c*d + (c*x + 1)*e/(c*x - 1) + e) - (c*x + 1)*b*c*d*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 2*a*c*d + (c*x + 1)*b*e*log((c*x + 1)*c*d/(c*x - 1) - c*d + (c*x + 1)*e/(c*x - 1) + e)/(c*x - 1) + b*e*log((c*x + 1)*c*d/(c*x - 1) - c*d + (c*x + 1)*e/(c*x - 1) + e) - (c*x + 1)*b*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) + 2*a*e)*c/((c*x + 1)*c^3*d^3/(c*x - 1) - c^3*d^3 + (c*x + 1)*c^2*d^2*e/(c*x - 1) + c^2*d^2*e - (c*x + 1)*c*d*e^2/(c*x - 1) + c*d*e^2 - (c*x + 1)*e^3/(c*x - 1) - e^3)","B",0
7,1,1197,0,0.194730," ","integrate((a+b*arctanh(c*x))/(e*x+d)^3,x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(c x + 1\right)}^{2} b c^{4} d^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} - \frac{2 \, {\left(c x + 1\right)} b c^{4} d^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} + b c^{4} d^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{{\left(c x + 1\right)}^{2} b c^{4} d^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{{\left(c x + 1\right)} b c^{4} d^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{2 \, {\left(c x + 1\right)} a c^{4} d^{3}}{c x - 1} + 2 \, a c^{4} d^{3} + \frac{2 \, {\left(c x + 1\right)}^{2} b c^{3} d^{2} e \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} - 2 \, b c^{3} d^{2} e \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{2 \, {\left(c x + 1\right)}^{2} b c^{3} d^{2} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{{\left(c x + 1\right)} b c^{3} d^{2} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} + \frac{2 \, {\left(c x + 1\right)} a c^{3} d^{2} e}{c x - 1} - 4 \, a c^{3} d^{2} e + \frac{{\left(c x + 1\right)} b c^{3} d^{2} e}{c x - 1} - b c^{3} d^{2} e + \frac{{\left(c x + 1\right)}^{2} b c^{2} d e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} + \frac{2 \, {\left(c x + 1\right)} b c^{2} d e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} + b c^{2} d e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{{\left(c x + 1\right)}^{2} b c^{2} d e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{{\left(c x + 1\right)} b c^{2} d e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} + \frac{2 \, {\left(c x + 1\right)} a c^{2} d e^{2}}{c x - 1} + 2 \, a c^{2} d e^{2} + 2 \, b c^{2} d e^{2} - \frac{{\left(c x + 1\right)} b c e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{2 \, {\left(c x + 1\right)} a c e^{3}}{c x - 1} - \frac{{\left(c x + 1\right)} b c e^{3}}{c x - 1} - b c e^{3}\right)} c}{\frac{{\left(c x + 1\right)}^{2} c^{6} d^{6}}{{\left(c x - 1\right)}^{2}} - \frac{2 \, {\left(c x + 1\right)} c^{6} d^{6}}{c x - 1} + c^{6} d^{6} + \frac{2 \, {\left(c x + 1\right)}^{2} c^{5} d^{5} e}{{\left(c x - 1\right)}^{2}} - 2 \, c^{5} d^{5} e - \frac{{\left(c x + 1\right)}^{2} c^{4} d^{4} e^{2}}{{\left(c x - 1\right)}^{2}} + \frac{6 \, {\left(c x + 1\right)} c^{4} d^{4} e^{2}}{c x - 1} - c^{4} d^{4} e^{2} - \frac{4 \, {\left(c x + 1\right)}^{2} c^{3} d^{3} e^{3}}{{\left(c x - 1\right)}^{2}} + 4 \, c^{3} d^{3} e^{3} - \frac{{\left(c x + 1\right)}^{2} c^{2} d^{2} e^{4}}{{\left(c x - 1\right)}^{2}} - \frac{6 \, {\left(c x + 1\right)} c^{2} d^{2} e^{4}}{c x - 1} - c^{2} d^{2} e^{4} + \frac{2 \, {\left(c x + 1\right)}^{2} c d e^{5}}{{\left(c x - 1\right)}^{2}} - 2 \, c d e^{5} + \frac{{\left(c x + 1\right)}^{2} e^{6}}{{\left(c x - 1\right)}^{2}} + \frac{2 \, {\left(c x + 1\right)} e^{6}}{c x - 1} + e^{6}}"," ",0,"-((c*x + 1)^2*b*c^4*d^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 - 2*(c*x + 1)*b*c^4*d^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) + b*c^4*d^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - (c*x + 1)^2*b*c^4*d^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + (c*x + 1)*b*c^4*d^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 2*(c*x + 1)*a*c^4*d^3/(c*x - 1) + 2*a*c^4*d^3 + 2*(c*x + 1)^2*b*c^3*d^2*e*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 - 2*b*c^3*d^2*e*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - 2*(c*x + 1)^2*b*c^3*d^2*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + (c*x + 1)*b*c^3*d^2*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) + 2*(c*x + 1)*a*c^3*d^2*e/(c*x - 1) - 4*a*c^3*d^2*e + (c*x + 1)*b*c^3*d^2*e/(c*x - 1) - b*c^3*d^2*e + (c*x + 1)^2*b*c^2*d*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 + 2*(c*x + 1)*b*c^2*d*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) + b*c^2*d*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - (c*x + 1)^2*b*c^2*d*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - (c*x + 1)*b*c^2*d*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) + 2*(c*x + 1)*a*c^2*d*e^2/(c*x - 1) + 2*a*c^2*d*e^2 + 2*b*c^2*d*e^2 - (c*x + 1)*b*c*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 2*(c*x + 1)*a*c*e^3/(c*x - 1) - (c*x + 1)*b*c*e^3/(c*x - 1) - b*c*e^3)*c/((c*x + 1)^2*c^6*d^6/(c*x - 1)^2 - 2*(c*x + 1)*c^6*d^6/(c*x - 1) + c^6*d^6 + 2*(c*x + 1)^2*c^5*d^5*e/(c*x - 1)^2 - 2*c^5*d^5*e - (c*x + 1)^2*c^4*d^4*e^2/(c*x - 1)^2 + 6*(c*x + 1)*c^4*d^4*e^2/(c*x - 1) - c^4*d^4*e^2 - 4*(c*x + 1)^2*c^3*d^3*e^3/(c*x - 1)^2 + 4*c^3*d^3*e^3 - (c*x + 1)^2*c^2*d^2*e^4/(c*x - 1)^2 - 6*(c*x + 1)*c^2*d^2*e^4/(c*x - 1) - c^2*d^2*e^4 + 2*(c*x + 1)^2*c*d*e^5/(c*x - 1)^2 - 2*c*d*e^5 + (c*x + 1)^2*e^6/(c*x - 1)^2 + 2*(c*x + 1)*e^6/(c*x - 1) + e^6)","B",0
8,1,3320,0,0.237558," ","integrate((a+b*arctanh(c*x))/(e*x+d)^4,x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, {\left(c x + 1\right)}^{3} b c^{7} d^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{3}} - \frac{9 \, {\left(c x + 1\right)}^{2} b c^{7} d^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} + \frac{9 \, {\left(c x + 1\right)} b c^{7} d^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} - 3 \, b c^{7} d^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{3 \, {\left(c x + 1\right)}^{3} b c^{7} d^{5} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)}^{2} b c^{7} d^{5} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} b c^{7} d^{5} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{2} a c^{7} d^{5}}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} a c^{7} d^{5}}{c x - 1} - 6 \, a c^{7} d^{5} + \frac{9 \, {\left(c x + 1\right)}^{3} b c^{6} d^{4} e \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{3}} - \frac{9 \, {\left(c x + 1\right)}^{2} b c^{6} d^{4} e \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} - \frac{9 \, {\left(c x + 1\right)} b c^{6} d^{4} e \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} + 9 \, b c^{6} d^{4} e \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{9 \, {\left(c x + 1\right)}^{3} b c^{6} d^{4} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{12 \, {\left(c x + 1\right)}^{2} b c^{6} d^{4} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} b c^{6} d^{4} e \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} + \frac{6 \, {\left(c x + 1\right)}^{2} a c^{6} d^{4} e}{{\left(c x - 1\right)}^{2}} - \frac{24 \, {\left(c x + 1\right)} a c^{6} d^{4} e}{c x - 1} + 18 \, a c^{6} d^{4} e + \frac{6 \, {\left(c x + 1\right)}^{2} b c^{6} d^{4} e}{{\left(c x - 1\right)}^{2}} - \frac{12 \, {\left(c x + 1\right)} b c^{6} d^{4} e}{c x - 1} + 6 \, b c^{6} d^{4} e + \frac{10 \, {\left(c x + 1\right)}^{3} b c^{5} d^{3} e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)}^{2} b c^{5} d^{3} e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} - \frac{6 \, {\left(c x + 1\right)} b c^{5} d^{3} e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} - 10 \, b c^{5} d^{3} e^{2} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{10 \, {\left(c x + 1\right)}^{3} b c^{5} d^{3} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)} b c^{5} d^{3} e^{2} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} + \frac{12 \, {\left(c x + 1\right)}^{2} a c^{5} d^{3} e^{2}}{{\left(c x - 1\right)}^{2}} - 20 \, a c^{5} d^{3} e^{2} + \frac{4 \, {\left(c x + 1\right)}^{2} b c^{5} d^{3} e^{2}}{{\left(c x - 1\right)}^{2}} + \frac{14 \, {\left(c x + 1\right)} b c^{5} d^{3} e^{2}}{c x - 1} - 18 \, b c^{5} d^{3} e^{2} + \frac{6 \, {\left(c x + 1\right)}^{3} b c^{4} d^{2} e^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{3}} + \frac{6 \, {\left(c x + 1\right)}^{2} b c^{4} d^{2} e^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} + \frac{6 \, {\left(c x + 1\right)} b c^{4} d^{2} e^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} + 6 \, b c^{4} d^{2} e^{3} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{6 \, {\left(c x + 1\right)}^{3} b c^{4} d^{2} e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{12 \, {\left(c x + 1\right)}^{2} b c^{4} d^{2} e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} + \frac{6 \, {\left(c x + 1\right)} b c^{4} d^{2} e^{3} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{12 \, {\left(c x + 1\right)}^{2} a c^{4} d^{2} e^{3}}{{\left(c x - 1\right)}^{2}} + \frac{24 \, {\left(c x + 1\right)} a c^{4} d^{2} e^{3}}{c x - 1} + 12 \, a c^{4} d^{2} e^{3} - \frac{8 \, {\left(c x + 1\right)}^{2} b c^{4} d^{2} e^{3}}{{\left(c x - 1\right)}^{2}} + \frac{10 \, {\left(c x + 1\right)} b c^{4} d^{2} e^{3}}{c x - 1} + 18 \, b c^{4} d^{2} e^{3} + \frac{3 \, {\left(c x + 1\right)}^{3} b c^{3} d e^{4} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{3}} + \frac{3 \, {\left(c x + 1\right)}^{2} b c^{3} d e^{4} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} b c^{3} d e^{4} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} - 3 \, b c^{3} d e^{4} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{3 \, {\left(c x + 1\right)}^{3} b c^{3} d e^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{6 \, {\left(c x + 1\right)}^{2} b c^{3} d e^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} b c^{3} d e^{4} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} - \frac{6 \, {\left(c x + 1\right)}^{2} a c^{3} d e^{4}}{{\left(c x - 1\right)}^{2}} - \frac{12 \, {\left(c x + 1\right)} a c^{3} d e^{4}}{c x - 1} - 6 \, a c^{3} d e^{4} - \frac{4 \, {\left(c x + 1\right)}^{2} b c^{3} d e^{4}}{{\left(c x - 1\right)}^{2}} - \frac{14 \, {\left(c x + 1\right)} b c^{3} d e^{4}}{c x - 1} - 6 \, b c^{3} d e^{4} + \frac{{\left(c x + 1\right)}^{3} b c^{2} e^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{3}} + \frac{3 \, {\left(c x + 1\right)}^{2} b c^{2} e^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{{\left(c x - 1\right)}^{2}} + \frac{3 \, {\left(c x + 1\right)} b c^{2} e^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right)}{c x - 1} + b c^{2} e^{5} \log\left(-\frac{{\left(c x + 1\right)} c d}{c x - 1} + c d - \frac{{\left(c x + 1\right)} e}{c x - 1} - e\right) - \frac{{\left(c x + 1\right)}^{3} b c^{2} e^{5} \log\left(-\frac{c x + 1}{c x - 1}\right)}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)} b c^{2} e^{5} \log\left(-\frac{c x + 1}{c x - 1}\right)}{c x - 1} + \frac{6 \, {\left(c x + 1\right)}^{2} a c^{2} e^{5}}{{\left(c x - 1\right)}^{2}} + 2 \, a c^{2} e^{5} + \frac{2 \, {\left(c x + 1\right)}^{2} b c^{2} e^{5}}{{\left(c x - 1\right)}^{2}} + \frac{2 \, {\left(c x + 1\right)} b c^{2} e^{5}}{c x - 1}\right)} c}{3 \, {\left(\frac{{\left(c x + 1\right)}^{3} c^{9} d^{9}}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)}^{2} c^{9} d^{9}}{{\left(c x - 1\right)}^{2}} + \frac{3 \, {\left(c x + 1\right)} c^{9} d^{9}}{c x - 1} - c^{9} d^{9} + \frac{3 \, {\left(c x + 1\right)}^{3} c^{8} d^{8} e}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)}^{2} c^{8} d^{8} e}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} c^{8} d^{8} e}{c x - 1} + 3 \, c^{8} d^{8} e + \frac{12 \, {\left(c x + 1\right)}^{2} c^{7} d^{7} e^{2}}{{\left(c x - 1\right)}^{2}} - \frac{12 \, {\left(c x + 1\right)} c^{7} d^{7} e^{2}}{c x - 1} - \frac{8 \, {\left(c x + 1\right)}^{3} c^{6} d^{6} e^{3}}{{\left(c x - 1\right)}^{3}} + \frac{12 \, {\left(c x + 1\right)}^{2} c^{6} d^{6} e^{3}}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} c^{6} d^{6} e^{3}}{c x - 1} - 8 \, c^{6} d^{6} e^{3} - \frac{6 \, {\left(c x + 1\right)}^{3} c^{5} d^{5} e^{4}}{{\left(c x - 1\right)}^{3}} - \frac{18 \, {\left(c x + 1\right)}^{2} c^{5} d^{5} e^{4}}{{\left(c x - 1\right)}^{2}} + \frac{18 \, {\left(c x + 1\right)} c^{5} d^{5} e^{4}}{c x - 1} + 6 \, c^{5} d^{5} e^{4} + \frac{6 \, {\left(c x + 1\right)}^{3} c^{4} d^{4} e^{5}}{{\left(c x - 1\right)}^{3}} - \frac{18 \, {\left(c x + 1\right)}^{2} c^{4} d^{4} e^{5}}{{\left(c x - 1\right)}^{2}} - \frac{18 \, {\left(c x + 1\right)} c^{4} d^{4} e^{5}}{c x - 1} + 6 \, c^{4} d^{4} e^{5} + \frac{8 \, {\left(c x + 1\right)}^{3} c^{3} d^{3} e^{6}}{{\left(c x - 1\right)}^{3}} + \frac{12 \, {\left(c x + 1\right)}^{2} c^{3} d^{3} e^{6}}{{\left(c x - 1\right)}^{2}} - \frac{12 \, {\left(c x + 1\right)} c^{3} d^{3} e^{6}}{c x - 1} - 8 \, c^{3} d^{3} e^{6} + \frac{12 \, {\left(c x + 1\right)}^{2} c^{2} d^{2} e^{7}}{{\left(c x - 1\right)}^{2}} + \frac{12 \, {\left(c x + 1\right)} c^{2} d^{2} e^{7}}{c x - 1} - \frac{3 \, {\left(c x + 1\right)}^{3} c d e^{8}}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)}^{2} c d e^{8}}{{\left(c x - 1\right)}^{2}} + \frac{3 \, {\left(c x + 1\right)} c d e^{8}}{c x - 1} + 3 \, c d e^{8} - \frac{{\left(c x + 1\right)}^{3} e^{9}}{{\left(c x - 1\right)}^{3}} - \frac{3 \, {\left(c x + 1\right)}^{2} e^{9}}{{\left(c x - 1\right)}^{2}} - \frac{3 \, {\left(c x + 1\right)} e^{9}}{c x - 1} - e^{9}\right)}}"," ",0,"-1/3*(3*(c*x + 1)^3*b*c^7*d^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^3 - 9*(c*x + 1)^2*b*c^7*d^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 + 9*(c*x + 1)*b*c^7*d^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) - 3*b*c^7*d^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - 3*(c*x + 1)^3*b*c^7*d^5*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 6*(c*x + 1)^2*b*c^7*d^5*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 3*(c*x + 1)*b*c^7*d^5*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 6*(c*x + 1)^2*a*c^7*d^5/(c*x - 1)^2 + 12*(c*x + 1)*a*c^7*d^5/(c*x - 1) - 6*a*c^7*d^5 + 9*(c*x + 1)^3*b*c^6*d^4*e*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^3 - 9*(c*x + 1)^2*b*c^6*d^4*e*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 - 9*(c*x + 1)*b*c^6*d^4*e*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) + 9*b*c^6*d^4*e*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - 9*(c*x + 1)^3*b*c^6*d^4*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 12*(c*x + 1)^2*b*c^6*d^4*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 3*(c*x + 1)*b*c^6*d^4*e*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) + 6*(c*x + 1)^2*a*c^6*d^4*e/(c*x - 1)^2 - 24*(c*x + 1)*a*c^6*d^4*e/(c*x - 1) + 18*a*c^6*d^4*e + 6*(c*x + 1)^2*b*c^6*d^4*e/(c*x - 1)^2 - 12*(c*x + 1)*b*c^6*d^4*e/(c*x - 1) + 6*b*c^6*d^4*e + 10*(c*x + 1)^3*b*c^5*d^3*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^3 + 6*(c*x + 1)^2*b*c^5*d^3*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 - 6*(c*x + 1)*b*c^5*d^3*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) - 10*b*c^5*d^3*e^2*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - 10*(c*x + 1)^3*b*c^5*d^3*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 + 6*(c*x + 1)*b*c^5*d^3*e^2*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) + 12*(c*x + 1)^2*a*c^5*d^3*e^2/(c*x - 1)^2 - 20*a*c^5*d^3*e^2 + 4*(c*x + 1)^2*b*c^5*d^3*e^2/(c*x - 1)^2 + 14*(c*x + 1)*b*c^5*d^3*e^2/(c*x - 1) - 18*b*c^5*d^3*e^2 + 6*(c*x + 1)^3*b*c^4*d^2*e^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^3 + 6*(c*x + 1)^2*b*c^4*d^2*e^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 + 6*(c*x + 1)*b*c^4*d^2*e^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) + 6*b*c^4*d^2*e^3*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - 6*(c*x + 1)^3*b*c^4*d^2*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 12*(c*x + 1)^2*b*c^4*d^2*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 + 6*(c*x + 1)*b*c^4*d^2*e^3*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 12*(c*x + 1)^2*a*c^4*d^2*e^3/(c*x - 1)^2 + 24*(c*x + 1)*a*c^4*d^2*e^3/(c*x - 1) + 12*a*c^4*d^2*e^3 - 8*(c*x + 1)^2*b*c^4*d^2*e^3/(c*x - 1)^2 + 10*(c*x + 1)*b*c^4*d^2*e^3/(c*x - 1) + 18*b*c^4*d^2*e^3 + 3*(c*x + 1)^3*b*c^3*d*e^4*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^3 + 3*(c*x + 1)^2*b*c^3*d*e^4*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 - 3*(c*x + 1)*b*c^3*d*e^4*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) - 3*b*c^3*d*e^4*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - 3*(c*x + 1)^3*b*c^3*d*e^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 6*(c*x + 1)^2*b*c^3*d*e^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^2 - 3*(c*x + 1)*b*c^3*d*e^4*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) - 6*(c*x + 1)^2*a*c^3*d*e^4/(c*x - 1)^2 - 12*(c*x + 1)*a*c^3*d*e^4/(c*x - 1) - 6*a*c^3*d*e^4 - 4*(c*x + 1)^2*b*c^3*d*e^4/(c*x - 1)^2 - 14*(c*x + 1)*b*c^3*d*e^4/(c*x - 1) - 6*b*c^3*d*e^4 + (c*x + 1)^3*b*c^2*e^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^3 + 3*(c*x + 1)^2*b*c^2*e^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1)^2 + 3*(c*x + 1)*b*c^2*e^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e)/(c*x - 1) + b*c^2*e^5*log(-(c*x + 1)*c*d/(c*x - 1) + c*d - (c*x + 1)*e/(c*x - 1) - e) - (c*x + 1)^3*b*c^2*e^5*log(-(c*x + 1)/(c*x - 1))/(c*x - 1)^3 - 3*(c*x + 1)*b*c^2*e^5*log(-(c*x + 1)/(c*x - 1))/(c*x - 1) + 6*(c*x + 1)^2*a*c^2*e^5/(c*x - 1)^2 + 2*a*c^2*e^5 + 2*(c*x + 1)^2*b*c^2*e^5/(c*x - 1)^2 + 2*(c*x + 1)*b*c^2*e^5/(c*x - 1))*c/((c*x + 1)^3*c^9*d^9/(c*x - 1)^3 - 3*(c*x + 1)^2*c^9*d^9/(c*x - 1)^2 + 3*(c*x + 1)*c^9*d^9/(c*x - 1) - c^9*d^9 + 3*(c*x + 1)^3*c^8*d^8*e/(c*x - 1)^3 - 3*(c*x + 1)^2*c^8*d^8*e/(c*x - 1)^2 - 3*(c*x + 1)*c^8*d^8*e/(c*x - 1) + 3*c^8*d^8*e + 12*(c*x + 1)^2*c^7*d^7*e^2/(c*x - 1)^2 - 12*(c*x + 1)*c^7*d^7*e^2/(c*x - 1) - 8*(c*x + 1)^3*c^6*d^6*e^3/(c*x - 1)^3 + 12*(c*x + 1)^2*c^6*d^6*e^3/(c*x - 1)^2 + 12*(c*x + 1)*c^6*d^6*e^3/(c*x - 1) - 8*c^6*d^6*e^3 - 6*(c*x + 1)^3*c^5*d^5*e^4/(c*x - 1)^3 - 18*(c*x + 1)^2*c^5*d^5*e^4/(c*x - 1)^2 + 18*(c*x + 1)*c^5*d^5*e^4/(c*x - 1) + 6*c^5*d^5*e^4 + 6*(c*x + 1)^3*c^4*d^4*e^5/(c*x - 1)^3 - 18*(c*x + 1)^2*c^4*d^4*e^5/(c*x - 1)^2 - 18*(c*x + 1)*c^4*d^4*e^5/(c*x - 1) + 6*c^4*d^4*e^5 + 8*(c*x + 1)^3*c^3*d^3*e^6/(c*x - 1)^3 + 12*(c*x + 1)^2*c^3*d^3*e^6/(c*x - 1)^2 - 12*(c*x + 1)*c^3*d^3*e^6/(c*x - 1) - 8*c^3*d^3*e^6 + 12*(c*x + 1)^2*c^2*d^2*e^7/(c*x - 1)^2 + 12*(c*x + 1)*c^2*d^2*e^7/(c*x - 1) - 3*(c*x + 1)^3*c*d*e^8/(c*x - 1)^3 - 3*(c*x + 1)^2*c*d*e^8/(c*x - 1)^2 + 3*(c*x + 1)*c*d*e^8/(c*x - 1) + 3*c*d*e^8 - (c*x + 1)^3*e^9/(c*x - 1)^3 - 3*(c*x + 1)^2*e^9/(c*x - 1)^2 - 3*(c*x + 1)*e^9/(c*x - 1) - e^9)","B",0
9,-1,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arctanh(c*x))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
10,-1,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arctanh(c*x))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctanh(c*x))^2,x, algorithm=""giac"")","\int {\left(e x + d\right)} {\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((e*x + d)*(b*arctanh(c*x) + a)^2, x)","F",0
12,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)^2/(e*x + d), x)","F",0
13,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)^2/(e*x + d)^2, x)","F",0
14,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)^2/(e*x + d)^3, x)","F",0
15,0,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arctanh(c*x))^3,x, algorithm=""giac"")","\int {\left(e x + d\right)}^{3} {\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((e*x + d)^3*(b*arctanh(c*x) + a)^3, x)","F",0
16,0,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arctanh(c*x))^3,x, algorithm=""giac"")","\int {\left(e x + d\right)}^{2} {\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((e*x + d)^2*(b*arctanh(c*x) + a)^3, x)","F",0
17,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctanh(c*x))^3,x, algorithm=""giac"")","\int {\left(e x + d\right)} {\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((e*x + d)*(b*arctanh(c*x) + a)^3, x)","F",0
18,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))^3/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{3}}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)^3/(e*x + d), x)","F",0
19,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))^3/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{3}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)^3/(e*x + d)^2, x)","F",0
20,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))^3/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x\right) + a\right)}^{3}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)^3/(e*x + d)^3, x)","F",0
21,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x))/(2*c*x+1),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c x\right) + a}{2 \, c x + 1}\,{d x}"," ",0,"integrate((b*arctanh(c*x) + a)/(2*c*x + 1), x)","F",0
22,0,0,0,0.000000," ","integrate(arctanh(x)/(1-x*2^(1/2)),x, algorithm=""giac"")","\int -\frac{\operatorname{artanh}\left(x\right)}{\sqrt{2} x - 1}\,{d x}"," ",0,"integrate(-arctanh(x)/(sqrt(2)*x - 1), x)","F",0
23,1,290,0,66.414991," ","integrate((e*x+d)^3*(a+b*arctanh(c*x^2)),x, algorithm=""giac"")","\frac{{\left(b c d^{3} - b d e^{2}\right)} \arctan\left(\sqrt{c} x\right)}{c^{\frac{3}{2}}} + \frac{{\left(b c d^{3} + b d e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{-c}}\right)}{\sqrt{-c} c} + \frac{b c^{2} x^{4} e^{3} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 4 \, b c^{2} d x^{3} e^{2} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 6 \, b c^{2} d^{2} x^{2} e \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 2 \, a c^{2} x^{4} e^{3} + 8 \, a c^{2} d x^{3} e^{2} + 12 \, a c^{2} d^{2} x^{2} e + 4 \, b c^{2} d^{3} x \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 8 \, a c^{2} d^{3} x + 6 \, b c d^{2} e \log\left(c^{2} x^{4} - 1\right) + 2 \, b c x^{2} e^{3} + 16 \, b c d x e^{2} - b e^{3} \log\left(c x^{2} + 1\right) + b e^{3} \log\left(c x^{2} - 1\right)}{8 \, c^{2}}"," ",0,"(b*c*d^3 - b*d*e^2)*arctan(sqrt(c)*x)/c^(3/2) + (b*c*d^3 + b*d*e^2)*arctan(c*x/sqrt(-c))/(sqrt(-c)*c) + 1/8*(b*c^2*x^4*e^3*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 4*b*c^2*d*x^3*e^2*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 6*b*c^2*d^2*x^2*e*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 2*a*c^2*x^4*e^3 + 8*a*c^2*d*x^3*e^2 + 12*a*c^2*d^2*x^2*e + 4*b*c^2*d^3*x*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 8*a*c^2*d^3*x + 6*b*c*d^2*e*log(c^2*x^4 - 1) + 2*b*c*x^2*e^3 + 16*b*c*d*x*e^2 - b*e^3*log(c*x^2 + 1) + b*e^3*log(c*x^2 - 1))/c^2","A",0
24,1,194,0,1.038151," ","integrate((e*x+d)^2*(a+b*arctanh(c*x^2)),x, algorithm=""giac"")","\frac{{\left(3 \, b c d^{2} - b e^{2}\right)} \arctan\left(\sqrt{c} x\right)}{3 \, c^{\frac{3}{2}}} + \frac{{\left(3 \, b c d^{2} + b e^{2}\right)} \arctan\left(\frac{c x}{\sqrt{-c}}\right)}{3 \, \sqrt{-c} c} + \frac{b c x^{3} e^{2} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 3 \, b c d x^{2} e \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 2 \, a c x^{3} e^{2} + 6 \, a c d x^{2} e + 3 \, b c d^{2} x \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 6 \, a c d^{2} x + 3 \, b d e \log\left(c^{2} x^{4} - 1\right) + 4 \, b x e^{2}}{6 \, c}"," ",0,"1/3*(3*b*c*d^2 - b*e^2)*arctan(sqrt(c)*x)/c^(3/2) + 1/3*(3*b*c*d^2 + b*e^2)*arctan(c*x/sqrt(-c))/(sqrt(-c)*c) + 1/6*(b*c*x^3*e^2*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 3*b*c*d*x^2*e*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 2*a*c*x^3*e^2 + 6*a*c*d*x^2*e + 3*b*c*d^2*x*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 6*a*c*d^2*x + 3*b*d*e*log(c^2*x^4 - 1) + 4*b*x*e^2)/c","A",0
25,1,143,0,0.364999," ","integrate((e*x+d)*(a+b*arctanh(c*x^2)),x, algorithm=""giac"")","\frac{b d \sqrt{{\left| c \right|}} \arctan\left(x \sqrt{{\left| c \right|}}\right)}{c} - \frac{b c d \log\left({\left| x + \frac{1}{\sqrt{{\left| c \right|}}} \right|}\right)}{2 \, {\left| c \right|}^{\frac{3}{2}}} + \frac{b d \sqrt{{\left| c \right|}} \log\left({\left| x - \frac{1}{\sqrt{{\left| c \right|}}} \right|}\right)}{2 \, c} + \frac{b c x^{2} e \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 2 \, a c x^{2} e + 2 \, b c d x \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 4 \, a c d x + b e \log\left(c^{2} x^{4} - 1\right)}{4 \, c}"," ",0,"b*d*sqrt(abs(c))*arctan(x*sqrt(abs(c)))/c - 1/2*b*c*d*log(abs(x + 1/sqrt(abs(c))))/abs(c)^(3/2) + 1/2*b*d*sqrt(abs(c))*log(abs(x - 1/sqrt(abs(c))))/c + 1/4*(b*c*x^2*e*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 2*a*c*x^2*e + 2*b*c*d*x*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 4*a*c*d*x + b*e*log(c^2*x^4 - 1))/c","A",0
26,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^2))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c x^{2}\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*x^2) + a)/(e*x + d), x)","F",0
27,1,271,0,0.226168," ","integrate((a+b*arctanh(c*x^2))/(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{c d \log\left(c - \frac{2 \, c d}{x e + d} + \frac{c d^{2}}{{\left(x e + d\right)}^{2}} + \frac{e^{2}}{{\left(x e + d\right)}^{2}}\right)}{c d^{2} e + e^{3}} - \frac{c d \log\left(c - \frac{2 \, c d}{x e + d} + \frac{c d^{2}}{{\left(x e + d\right)}^{2}} - \frac{e^{2}}{{\left(x e + d\right)}^{2}}\right)}{c d^{2} e - e^{3}} - \frac{e^{\left(-1\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{x e + d} + \frac{2 \, c \arctan\left(\frac{{\left(c d - \frac{c d^{2}}{x e + d} + \frac{e^{2}}{x e + d}\right)} e^{\left(-1\right)}}{\sqrt{-c}}\right)}{{\left(c d^{2} - e^{2}\right)} \sqrt{-c}} + \frac{2 \, \sqrt{c} \arctan\left(\frac{{\left(c d - \frac{c d^{2}}{x e + d} - \frac{e^{2}}{x e + d}\right)} e^{\left(-1\right)}}{\sqrt{c}}\right)}{c d^{2} + e^{2}}\right)} b - \frac{a e^{\left(-1\right)}}{x e + d}"," ",0,"1/2*(c*d*log(c - 2*c*d/(x*e + d) + c*d^2/(x*e + d)^2 + e^2/(x*e + d)^2)/(c*d^2*e + e^3) - c*d*log(c - 2*c*d/(x*e + d) + c*d^2/(x*e + d)^2 - e^2/(x*e + d)^2)/(c*d^2*e - e^3) - e^(-1)*log(-(c*x^2 + 1)/(c*x^2 - 1))/(x*e + d) + 2*c*arctan((c*d - c*d^2/(x*e + d) + e^2/(x*e + d))*e^(-1)/sqrt(-c))/((c*d^2 - e^2)*sqrt(-c)) + 2*sqrt(c)*arctan((c*d - c*d^2/(x*e + d) - e^2/(x*e + d))*e^(-1)/sqrt(c))/(c*d^2 + e^2))*b - a*e^(-1)/(x*e + d)","A",0
28,1,507,0,41.456671," ","integrate((a+b*arctanh(c*x^2))/(e*x+d)^3,x, algorithm=""giac"")","\frac{b c^{\frac{3}{2}} d \arctan\left(\sqrt{c} x\right)}{c^{2} d^{4} + 2 \, c d^{2} e^{2} + e^{4}} + \frac{b c^{2} d \arctan\left(\frac{c x}{\sqrt{-c}}\right)}{{\left(c^{2} d^{4} - 2 \, c d^{2} e^{2} + e^{4}\right)} \sqrt{-c}} + \frac{{\left(b c^{2} d^{2} - b c e^{2}\right)} \log\left(c x^{2} + 1\right)}{4 \, {\left(c^{2} d^{4} e + 2 \, c d^{2} e^{3} + e^{5}\right)}} - \frac{{\left(b c^{2} d^{2} + b c e^{2}\right)} \log\left(-c x^{2} + 1\right)}{4 \, {\left(c^{2} d^{4} e - 2 \, c d^{2} e^{3} + e^{5}\right)}} - \frac{b c^{4} d^{8} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 2 \, a c^{4} d^{8} - 12 \, b c^{3} d^{4} x^{2} e^{4} \log\left(x e + d\right) - 24 \, b c^{3} d^{5} x e^{3} \log\left(x e + d\right) - 12 \, b c^{3} d^{6} e^{2} \log\left(x e + d\right) + 4 \, b c^{3} d^{5} x e^{3} + 4 \, b c^{3} d^{6} e^{2} - 2 \, b c^{2} d^{4} e^{4} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) - 4 \, a c^{2} d^{4} e^{4} - 4 \, b c x^{2} e^{8} \log\left(x e + d\right) - 8 \, b c d x e^{7} \log\left(x e + d\right) - 4 \, b c d^{2} e^{6} \log\left(x e + d\right) - 4 \, b c d x e^{7} - 4 \, b c d^{2} e^{6} + b e^{8} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right) + 2 \, a e^{8}}{4 \, {\left(c^{4} d^{8} x^{2} e^{3} + 2 \, c^{4} d^{9} x e^{2} + c^{4} d^{10} e - 2 \, c^{2} d^{4} x^{2} e^{7} - 4 \, c^{2} d^{5} x e^{6} - 2 \, c^{2} d^{6} e^{5} + x^{2} e^{11} + 2 \, d x e^{10} + d^{2} e^{9}\right)}}"," ",0,"b*c^(3/2)*d*arctan(sqrt(c)*x)/(c^2*d^4 + 2*c*d^2*e^2 + e^4) + b*c^2*d*arctan(c*x/sqrt(-c))/((c^2*d^4 - 2*c*d^2*e^2 + e^4)*sqrt(-c)) + 1/4*(b*c^2*d^2 - b*c*e^2)*log(c*x^2 + 1)/(c^2*d^4*e + 2*c*d^2*e^3 + e^5) - 1/4*(b*c^2*d^2 + b*c*e^2)*log(-c*x^2 + 1)/(c^2*d^4*e - 2*c*d^2*e^3 + e^5) - 1/4*(b*c^4*d^8*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 2*a*c^4*d^8 - 12*b*c^3*d^4*x^2*e^4*log(x*e + d) - 24*b*c^3*d^5*x*e^3*log(x*e + d) - 12*b*c^3*d^6*e^2*log(x*e + d) + 4*b*c^3*d^5*x*e^3 + 4*b*c^3*d^6*e^2 - 2*b*c^2*d^4*e^4*log(-(c*x^2 + 1)/(c*x^2 - 1)) - 4*a*c^2*d^4*e^4 - 4*b*c*x^2*e^8*log(x*e + d) - 8*b*c*d*x*e^7*log(x*e + d) - 4*b*c*d^2*e^6*log(x*e + d) - 4*b*c*d*x*e^7 - 4*b*c*d^2*e^6 + b*e^8*log(-(c*x^2 + 1)/(c*x^2 - 1)) + 2*a*e^8)/(c^4*d^8*x^2*e^3 + 2*c^4*d^9*x*e^2 + c^4*d^10*e - 2*c^2*d^4*x^2*e^7 - 4*c^2*d^5*x*e^6 - 2*c^2*d^6*e^5 + x^2*e^11 + 2*d*x*e^10 + d^2*e^9)","B",0
29,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctanh(c*x^2))^2,x, algorithm=""giac"")","\int {\left(e x + d\right)} {\left(b \operatorname{artanh}\left(c x^{2}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((e*x + d)*(b*arctanh(c*x^2) + a)^2, x)","F",0
30,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^2))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x^{2}\right) + a\right)}^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*x^2) + a)^2/(e*x + d), x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^2))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x^{2}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(c*x^2) + a)^2/(e*x + d)^2, x)","F",0
32,1,383,0,4.759453," ","integrate((e*x+d)^2*(a+b*arctanh(c*x^3)),x, algorithm=""giac"")","-\frac{\sqrt{3} {\left(b c d^{2} {\left| c \right|}^{\frac{2}{3}} - b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + \frac{1}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{2 \, c^{2}} + \frac{\sqrt{3} {\left(b c d^{2} {\left| c \right|}^{\frac{2}{3}} + b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - \frac{1}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{2 \, c^{2}} + \frac{b c x^{3} e^{2} \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) + 3 \, b c d x^{2} e \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) + 2 \, a c x^{3} e^{2} + 6 \, a c d x^{2} e + 3 \, b c d^{2} x \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) + 6 \, a c d^{2} x + b e^{2} \log\left(c^{2} x^{6} - 1\right)}{6 \, c} - \frac{{\left(b c d^{2} {\left| c \right|}^{\frac{2}{3}} + b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left(x^{2} + \frac{x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{4 \, c^{2}} - \frac{{\left(b c d^{2} {\left| c \right|}^{\frac{2}{3}} - b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left(x^{2} - \frac{x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{4 \, c^{2}} + \frac{{\left(b c d^{2} {\left| c \right|}^{\frac{2}{3}} - b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left({\left| x + \frac{1}{{\left| c \right|}^{\frac{1}{3}}} \right|}\right)}{2 \, c^{2}} + \frac{{\left(b c d^{2} {\left| c \right|}^{\frac{2}{3}} + b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left({\left| x - \frac{1}{{\left| c \right|}^{\frac{1}{3}}} \right|}\right)}{2 \, c^{2}}"," ",0,"-1/2*sqrt(3)*(b*c*d^2*abs(c)^(2/3) - b*c*d*abs(c)^(1/3)*e)*arctan(1/3*sqrt(3)*(2*x + 1/abs(c)^(1/3))*abs(c)^(1/3))/c^2 + 1/2*sqrt(3)*(b*c*d^2*abs(c)^(2/3) + b*c*d*abs(c)^(1/3)*e)*arctan(1/3*sqrt(3)*(2*x - 1/abs(c)^(1/3))*abs(c)^(1/3))/c^2 + 1/6*(b*c*x^3*e^2*log(-(c*x^3 + 1)/(c*x^3 - 1)) + 3*b*c*d*x^2*e*log(-(c*x^3 + 1)/(c*x^3 - 1)) + 2*a*c*x^3*e^2 + 6*a*c*d*x^2*e + 3*b*c*d^2*x*log(-(c*x^3 + 1)/(c*x^3 - 1)) + 6*a*c*d^2*x + b*e^2*log(c^2*x^6 - 1))/c - 1/4*(b*c*d^2*abs(c)^(2/3) + b*c*d*abs(c)^(1/3)*e)*log(x^2 + x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 - 1/4*(b*c*d^2*abs(c)^(2/3) - b*c*d*abs(c)^(1/3)*e)*log(x^2 - x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 + 1/2*(b*c*d^2*abs(c)^(2/3) - b*c*d*abs(c)^(1/3)*e)*log(abs(x + 1/abs(c)^(1/3)))/c^2 + 1/2*(b*c*d^2*abs(c)^(2/3) + b*c*d*abs(c)^(1/3)*e)*log(abs(x - 1/abs(c)^(1/3)))/c^2","A",0
33,1,304,0,2.178250," ","integrate((e*x+d)*(a+b*arctanh(c*x^3)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{2} e \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) + \frac{1}{2} \, a x^{2} e + \frac{1}{2} \, b d x \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) + a d x - \frac{\sqrt{3} {\left(2 \, b c d {\left| c \right|}^{\frac{2}{3}} - b c {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + \frac{1}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{4 \, c^{2}} + \frac{\sqrt{3} {\left(2 \, b c d {\left| c \right|}^{\frac{2}{3}} + b c {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - \frac{1}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{4 \, c^{2}} - \frac{{\left(2 \, b c d {\left| c \right|}^{\frac{2}{3}} + b c {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left(x^{2} + \frac{x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{8 \, c^{2}} - \frac{{\left(2 \, b c d {\left| c \right|}^{\frac{2}{3}} - b c {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left(x^{2} - \frac{x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{8 \, c^{2}} + \frac{{\left(2 \, b c d {\left| c \right|}^{\frac{2}{3}} - b c {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left({\left| x + \frac{1}{{\left| c \right|}^{\frac{1}{3}}} \right|}\right)}{4 \, c^{2}} + \frac{{\left(2 \, b c d {\left| c \right|}^{\frac{2}{3}} + b c {\left| c \right|}^{\frac{1}{3}} e\right)} \log\left({\left| x - \frac{1}{{\left| c \right|}^{\frac{1}{3}}} \right|}\right)}{4 \, c^{2}}"," ",0,"1/4*b*x^2*e*log(-(c*x^3 + 1)/(c*x^3 - 1)) + 1/2*a*x^2*e + 1/2*b*d*x*log(-(c*x^3 + 1)/(c*x^3 - 1)) + a*d*x - 1/4*sqrt(3)*(2*b*c*d*abs(c)^(2/3) - b*c*abs(c)^(1/3)*e)*arctan(1/3*sqrt(3)*(2*x + 1/abs(c)^(1/3))*abs(c)^(1/3))/c^2 + 1/4*sqrt(3)*(2*b*c*d*abs(c)^(2/3) + b*c*abs(c)^(1/3)*e)*arctan(1/3*sqrt(3)*(2*x - 1/abs(c)^(1/3))*abs(c)^(1/3))/c^2 - 1/8*(2*b*c*d*abs(c)^(2/3) + b*c*abs(c)^(1/3)*e)*log(x^2 + x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 - 1/8*(2*b*c*d*abs(c)^(2/3) - b*c*abs(c)^(1/3)*e)*log(x^2 - x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 + 1/4*(2*b*c*d*abs(c)^(2/3) - b*c*abs(c)^(1/3)*e)*log(abs(x + 1/abs(c)^(1/3)))/c^2 + 1/4*(2*b*c*d*abs(c)^(2/3) + b*c*abs(c)^(1/3)*e)*log(abs(x - 1/abs(c)^(1/3)))/c^2","A",0
34,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^3))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c x^{3}\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*x^3) + a)/(e*x + d), x)","F",0
35,1,595,0,28.279694," ","integrate((a+b*arctanh(c*x^3))/(e*x+d)^2,x, algorithm=""giac"")","-\frac{b c d^{2} \log\left({\left| c x^{3} - 1 \right|}\right)}{2 \, {\left(c d^{3} e + e^{4}\right)}} + \frac{b c d^{2} \log\left({\left| -c x^{3} - 1 \right|}\right)}{2 \, {\left(c d^{3} e - e^{4}\right)}} - \frac{\sqrt{3} b c {\left| c \right|}^{\frac{2}{3}} \arctan\left(\frac{1}{3} \, \sqrt{3} c^{\frac{1}{3}} {\left(2 \, x + \frac{1}{c^{\frac{1}{3}}}\right)}\right)}{2 \, {\left(c^{2} d^{2} - c d {\left| c \right|}^{\frac{2}{3}} e + {\left| c \right|}^{\frac{4}{3}} e^{2}\right)}} - \frac{\sqrt{3} b c \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{1}{c}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{1}{c}\right)^{\frac{1}{3}}}\right)}{2 \, {\left(c d e + \left(-c^{2}\right)^{\frac{2}{3}} d^{2} - \left(-c^{2}\right)^{\frac{1}{3}} e^{2}\right)}} - \frac{{\left(b c^{3} d^{4} e^{2} - b c^{3} d^{3} \left(-\frac{1}{c}\right)^{\frac{1}{3}} e^{3} - b c^{2} d e^{5} + b c^{2} \left(-\frac{1}{c}\right)^{\frac{1}{3}} e^{6}\right)} \left(-\frac{1}{c}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{1}{c}\right)^{\frac{1}{3}} \right|}\right)}{2 \, {\left(c^{3} d^{6} e^{2} - 2 \, c^{2} d^{3} e^{5} + c e^{8}\right)}} + \frac{{\left(\left(-c^{2}\right)^{\frac{1}{3}} b c d - \left(-c^{2}\right)^{\frac{2}{3}} b e\right)} \log\left(x^{2} + x \left(-\frac{1}{c}\right)^{\frac{1}{3}} + \left(-\frac{1}{c}\right)^{\frac{2}{3}}\right)}{4 \, {\left(c^{2} d^{3} - c e^{3}\right)}} - \frac{{\left(b c d {\left| c \right|}^{\frac{2}{3}} - b {\left| c \right|}^{\frac{4}{3}} e\right)} \log\left(x^{2} + \frac{x}{c^{\frac{1}{3}}} + \frac{1}{c^{\frac{2}{3}}}\right)}{4 \, {\left(c^{2} d^{3} + c e^{3}\right)}} + \frac{{\left(b c^{3} d^{4} e^{2} - b c^{\frac{8}{3}} d^{3} e^{3} + b c^{2} d e^{5} - b c^{\frac{5}{3}} e^{6}\right)} \log\left({\left| x - \frac{1}{c^{\frac{1}{3}}} \right|}\right)}{2 \, {\left(c^{3} d^{6} e^{2} + 2 \, c^{2} d^{3} e^{5} + c e^{8}\right)} c^{\frac{1}{3}}} - \frac{b c^{2} d^{6} \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) + 2 \, a c^{2} d^{6} + 6 \, b c d^{2} x e^{4} \log\left(x e + d\right) + 6 \, b c d^{3} e^{3} \log\left(x e + d\right) - b e^{6} \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right) - 2 \, a e^{6}}{2 \, {\left(c^{2} d^{6} x e^{2} + c^{2} d^{7} e - x e^{8} - d e^{7}\right)}}"," ",0,"-1/2*b*c*d^2*log(abs(c*x^3 - 1))/(c*d^3*e + e^4) + 1/2*b*c*d^2*log(abs(-c*x^3 - 1))/(c*d^3*e - e^4) - 1/2*sqrt(3)*b*c*abs(c)^(2/3)*arctan(1/3*sqrt(3)*c^(1/3)*(2*x + 1/c^(1/3)))/(c^2*d^2 - c*d*abs(c)^(2/3)*e + abs(c)^(4/3)*e^2) - 1/2*sqrt(3)*b*c*arctan(1/3*sqrt(3)*(2*x + (-1/c)^(1/3))/(-1/c)^(1/3))/(c*d*e + (-c^2)^(2/3)*d^2 - (-c^2)^(1/3)*e^2) - 1/2*(b*c^3*d^4*e^2 - b*c^3*d^3*(-1/c)^(1/3)*e^3 - b*c^2*d*e^5 + b*c^2*(-1/c)^(1/3)*e^6)*(-1/c)^(1/3)*log(abs(x - (-1/c)^(1/3)))/(c^3*d^6*e^2 - 2*c^2*d^3*e^5 + c*e^8) + 1/4*((-c^2)^(1/3)*b*c*d - (-c^2)^(2/3)*b*e)*log(x^2 + x*(-1/c)^(1/3) + (-1/c)^(2/3))/(c^2*d^3 - c*e^3) - 1/4*(b*c*d*abs(c)^(2/3) - b*abs(c)^(4/3)*e)*log(x^2 + x/c^(1/3) + 1/c^(2/3))/(c^2*d^3 + c*e^3) + 1/2*(b*c^3*d^4*e^2 - b*c^(8/3)*d^3*e^3 + b*c^2*d*e^5 - b*c^(5/3)*e^6)*log(abs(x - 1/c^(1/3)))/((c^3*d^6*e^2 + 2*c^2*d^3*e^5 + c*e^8)*c^(1/3)) - 1/2*(b*c^2*d^6*log(-(c*x^3 + 1)/(c*x^3 - 1)) + 2*a*c^2*d^6 + 6*b*c*d^2*x*e^4*log(x*e + d) + 6*b*c*d^3*e^3*log(x*e + d) - b*e^6*log(-(c*x^3 + 1)/(c*x^3 - 1)) - 2*a*e^6)/(c^2*d^6*x*e^2 + c^2*d^7*e - x*e^8 - d*e^7)","A",0
36,0,0,0,0.000000," ","integrate(x^3*(a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{{\left(b \operatorname{artanh}\left(c \sqrt{x}\right) + a\right)} x^{3}}{c^{2} x - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)*x^3/(c^2*x - 1), x)","F",0
37,0,0,0,0.000000," ","integrate(x^2*(a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{{\left(b \operatorname{artanh}\left(c \sqrt{x}\right) + a\right)} x^{2}}{c^{2} x - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)*x^2/(c^2*x - 1), x)","F",0
38,0,0,0,0.000000," ","integrate(x*(a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{{\left(b \operatorname{artanh}\left(c \sqrt{x}\right) + a\right)} x}{c^{2} x - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)*x/(c^2*x - 1), x)","F",0
39,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{c^{2} x - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)/(c^2*x - 1), x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(c^{2} x - 1\right)} x}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)/((c^2*x - 1)*x), x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x^2/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(c^{2} x - 1\right)} x^{2}}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)/((c^2*x - 1)*x^2), x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x^3/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(c^{2} x - 1\right)} x^{3}}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)/((c^2*x - 1)*x^3), x)","F",0
43,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x^4/(-c^2*x+1),x, algorithm=""giac"")","\int -\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(c^{2} x - 1\right)} x^{4}}\,{d x}"," ",0,"integrate(-(b*arctanh(c*sqrt(x)) + a)/((c^2*x - 1)*x^4), x)","F",0
44,0,0,0,0.000000," ","integrate(x^2*(a+b*arctanh(c*x^(1/2)))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c \sqrt{x}\right) + a\right)} x^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*sqrt(x)) + a)*x^2/(e*x + d), x)","F",0
45,0,0,0,0.000000," ","integrate(x*(a+b*arctanh(c*x^(1/2)))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c \sqrt{x}\right) + a\right)} x}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*sqrt(x)) + a)*x/(e*x + d), x)","F",0
46,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arctanh(c*sqrt(x)) + a)/(e*x + d), x)","F",0
47,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate((b*arctanh(c*sqrt(x)) + a)/((e*x + d)*x), x)","F",0
48,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*arctanh(c*sqrt(x)) + a)/((e*x + d)*x^2), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^(1/2)))/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*arctanh(c*sqrt(x)) + a)/((e*x + d)*x^3), x)","F",0
