1,-1,0,0,0.000000," ","integrate(x^3*arctanh(b*x+a)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,0,0,0,0.000000," ","integrate(x^2*arctanh(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*arctanh(b*x + a)^2, x)","F",0
3,0,0,0,0.000000," ","integrate(x*arctanh(b*x+a)^2,x, algorithm=""giac"")","\int x \operatorname{artanh}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*arctanh(b*x + a)^2, x)","F",0
4,0,0,0,0.000000," ","integrate(arctanh(b*x+a)^2,x, algorithm=""giac"")","\int \operatorname{artanh}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(arctanh(b*x + a)^2, x)","F",0
5,0,0,0,0.000000," ","integrate(arctanh(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(arctanh(b*x + a)^2/x, x)","F",0
6,0,0,0,0.000000," ","integrate(arctanh(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(arctanh(b*x + a)^2/x^2, x)","F",0
7,-1,0,0,0.000000," ","integrate(arctanh(b*x+a)^2/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,0,0,0,0.000000," ","integrate(arctanh(b*x+1)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + 1\right)^{2}}{x}\,{d x}"," ",0,"integrate(arctanh(b*x + 1)^2/x, x)","F",0
9,1,282,0,3.077013," ","integrate((d*e*x+c*e)^3*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","\frac{{\left(\frac{3 \, {\left(d x + c + 1\right)}^{3} b e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{3 \, {\left(d x + c + 1\right)} b e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{6 \, {\left(d x + c + 1\right)}^{3} a e^{3}}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)} a e^{3}}{d x + c - 1} + \frac{3 \, {\left(d x + c + 1\right)}^{3} b e^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{6 \, {\left(d x + c + 1\right)}^{2} b e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{5 \, {\left(d x + c + 1\right)} b e^{3}}{d x + c - 1} - 2 \, b e^{3}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{6 \, {\left(\frac{{\left(d x + c + 1\right)}^{4} d^{2}}{{\left(d x + c - 1\right)}^{4}} - \frac{4 \, {\left(d x + c + 1\right)}^{3} d^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)}^{2} d^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{4 \, {\left(d x + c + 1\right)} d^{2}}{d x + c - 1} + d^{2}\right)}}"," ",0,"1/6*(3*(d*x + c + 1)^3*b*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 3*(d*x + c + 1)*b*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 6*(d*x + c + 1)^3*a*e^3/(d*x + c - 1)^3 + 6*(d*x + c + 1)*a*e^3/(d*x + c - 1) + 3*(d*x + c + 1)^3*b*e^3/(d*x + c - 1)^3 - 6*(d*x + c + 1)^2*b*e^3/(d*x + c - 1)^2 + 5*(d*x + c + 1)*b*e^3/(d*x + c - 1) - 2*b*e^3)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^4*d^2/(d*x + c - 1)^4 - 4*(d*x + c + 1)^3*d^2/(d*x + c - 1)^3 + 6*(d*x + c + 1)^2*d^2/(d*x + c - 1)^2 - 4*(d*x + c + 1)*d^2/(d*x + c - 1) + d^2)","B",0
10,1,364,0,0.342582," ","integrate((d*e*x+c*e)^2*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(d x + c + 1\right)}^{3} b e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{3 \, {\left(d x + c + 1\right)}^{2} b e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{3 \, {\left(d x + c + 1\right)} b e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - b e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{{\left(d x + c + 1\right)}^{3} b e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{3 \, {\left(d x + c + 1\right)} b e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{6 \, {\left(d x + c + 1\right)}^{2} a e^{2}}{{\left(d x + c - 1\right)}^{2}} - 2 \, a e^{2} - \frac{2 \, {\left(d x + c + 1\right)}^{2} b e^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b e^{2}}{d x + c - 1}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{6 \, {\left(\frac{{\left(d x + c + 1\right)}^{3} d^{2}}{{\left(d x + c - 1\right)}^{3}} - \frac{3 \, {\left(d x + c + 1\right)}^{2} d^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{3 \, {\left(d x + c + 1\right)} d^{2}}{d x + c - 1} - d^{2}\right)}}"," ",0,"-1/6*((d*x + c + 1)^3*b*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 3*(d*x + c + 1)^2*b*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 3*(d*x + c + 1)*b*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - b*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - (d*x + c + 1)^3*b*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 3*(d*x + c + 1)*b*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 6*(d*x + c + 1)^2*a*e^2/(d*x + c - 1)^2 - 2*a*e^2 - 2*(d*x + c + 1)^2*b*e^2/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b*e^2/(d*x + c - 1))*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^3*d^2/(d*x + c - 1)^3 - 3*(d*x + c + 1)^2*d^2/(d*x + c - 1)^2 + 3*(d*x + c + 1)*d^2/(d*x + c - 1) - d^2)","B",0
11,1,137,0,0.394152," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","\frac{{\left(\frac{{\left(d x + c + 1\right)} b e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)} a e}{d x + c - 1} + \frac{{\left(d x + c + 1\right)} b e}{d x + c - 1} - b e\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{2 \, {\left(\frac{{\left(d x + c + 1\right)}^{2} d^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} d^{2}}{d x + c - 1} + d^{2}\right)}}"," ",0,"1/2*((d*x + c + 1)*b*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)*a*e/(d*x + c - 1) + (d*x + c + 1)*b*e/(d*x + c - 1) - b*e)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^2*d^2/(d*x + c - 1)^2 - 2*(d*x + c + 1)*d^2/(d*x + c - 1) + d^2)","B",0
12,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(d x + c\right) + a}{d e x + c e}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)/(d*e*x + c*e), x)","F",0
13,1,137,0,0.183862," ","integrate((a+b*arctanh(d*x+c))/(d*e*x+c*e)^2,x, algorithm=""giac"")","\frac{{\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)} {\left(\frac{{\left(d x + c + 1\right)} b \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{d x + c - 1} + b \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right) - \frac{{\left(d x + c + 1\right)} b \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + 2 \, a\right)}}{2 \, {\left(\frac{{\left(d x + c + 1\right)} d^{2} e^{2}}{d x + c - 1} + d^{2} e^{2}\right)}}"," ",0,"1/2*((c + 1)*d - (c - 1)*d)*((d*x + c + 1)*b*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1) + b*log(-(d*x + c + 1)/(d*x + c - 1) - 1) - (d*x + c + 1)*b*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*a)/((d*x + c + 1)*d^2*e^2/(d*x + c - 1) + d^2*e^2)","B",0
14,1,134,0,0.332513," ","integrate((a+b*arctanh(d*x+c))/(d*e*x+c*e)^3,x, algorithm=""giac"")","\frac{{\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)} {\left(\frac{{\left(d x + c + 1\right)} b \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)} a}{d x + c - 1} + \frac{{\left(d x + c + 1\right)} b}{d x + c - 1} + b\right)}}{2 \, {\left(\frac{{\left(d x + c + 1\right)}^{2} d^{2} e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} d^{2} e^{3}}{d x + c - 1} + d^{2} e^{3}\right)}}"," ",0,"1/2*((c + 1)*d - (c - 1)*d)*((d*x + c + 1)*b*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)*a/(d*x + c - 1) + (d*x + c + 1)*b/(d*x + c - 1) + b)/((d*x + c + 1)^2*d^2*e^3/(d*x + c - 1)^2 + 2*(d*x + c + 1)*d^2*e^3/(d*x + c - 1) + d^2*e^3)","B",0
15,1,791,0,0.251157," ","integrate((d*e*x+c*e)^3*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\frac{{\left(\frac{3 \, {\left(d x + c + 1\right)}^{3} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{3 \, {\left(d x + c + 1\right)} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2}}{d x + c - 1} - \frac{4 \, {\left(d x + c + 1\right)}^{4} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{16 \, {\left(d x + c + 1\right)}^{3} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{24 \, {\left(d x + c + 1\right)}^{2} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{16 \, {\left(d x + c + 1\right)} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 4 \, b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) + \frac{12 \, {\left(d x + c + 1\right)}^{3} a b e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{12 \, {\left(d x + c + 1\right)} a b e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{4 \, {\left(d x + c + 1\right)}^{4} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{10 \, {\left(d x + c + 1\right)}^{3} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{12 \, {\left(d x + c + 1\right)}^{2} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} b^{2} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{12 \, {\left(d x + c + 1\right)}^{3} a^{2} e^{3}}{{\left(d x + c - 1\right)}^{3}} + \frac{12 \, {\left(d x + c + 1\right)} a^{2} e^{3}}{d x + c - 1} + \frac{12 \, {\left(d x + c + 1\right)}^{3} a b e^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{24 \, {\left(d x + c + 1\right)}^{2} a b e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{20 \, {\left(d x + c + 1\right)} a b e^{3}}{d x + c - 1} - 8 \, a b e^{3} + \frac{2 \, {\left(d x + c + 1\right)}^{3} b^{2} e^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{4 \, {\left(d x + c + 1\right)}^{2} b^{2} e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b^{2} e^{3}}{d x + c - 1}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{12 \, {\left(\frac{{\left(d x + c + 1\right)}^{4} d^{2}}{{\left(d x + c - 1\right)}^{4}} - \frac{4 \, {\left(d x + c + 1\right)}^{3} d^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)}^{2} d^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{4 \, {\left(d x + c + 1\right)} d^{2}}{d x + c - 1} + d^{2}\right)}}"," ",0,"1/12*(3*(d*x + c + 1)^3*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1))^2/(d*x + c - 1)^3 + 3*(d*x + c + 1)*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1))^2/(d*x + c - 1) - 4*(d*x + c + 1)^4*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 + 16*(d*x + c + 1)^3*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 24*(d*x + c + 1)^2*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 16*(d*x + c + 1)*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 4*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1) + 12*(d*x + c + 1)^3*a*b*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 12*(d*x + c + 1)*a*b*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 4*(d*x + c + 1)^4*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 - 10*(d*x + c + 1)^3*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 12*(d*x + c + 1)^2*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 6*(d*x + c + 1)*b^2*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 12*(d*x + c + 1)^3*a^2*e^3/(d*x + c - 1)^3 + 12*(d*x + c + 1)*a^2*e^3/(d*x + c - 1) + 12*(d*x + c + 1)^3*a*b*e^3/(d*x + c - 1)^3 - 24*(d*x + c + 1)^2*a*b*e^3/(d*x + c - 1)^2 + 20*(d*x + c + 1)*a*b*e^3/(d*x + c - 1) - 8*a*b*e^3 + 2*(d*x + c + 1)^3*b^2*e^3/(d*x + c - 1)^3 - 4*(d*x + c + 1)^2*b^2*e^3/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b^2*e^3/(d*x + c - 1))*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^4*d^2/(d*x + c - 1)^4 - 4*(d*x + c + 1)^3*d^2/(d*x + c - 1)^3 + 6*(d*x + c + 1)^2*d^2/(d*x + c - 1)^2 - 4*(d*x + c + 1)*d^2/(d*x + c - 1) + d^2)","B",0
16,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{2} {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2*(b*arctanh(d*x + c) + a)^2, x)","F",0
17,1,369,0,0.346624," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\frac{{\left(\frac{{\left(d x + c + 1\right)} b^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2}}{d x + c - 1} - \frac{2 \, {\left(d x + c + 1\right)}^{2} b^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{4 \, {\left(d x + c + 1\right)} b^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 2 \, b^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) + \frac{4 \, {\left(d x + c + 1\right)} a b e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)}^{2} b^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} b^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{4 \, {\left(d x + c + 1\right)} a^{2} e}{d x + c - 1} + \frac{4 \, {\left(d x + c + 1\right)} a b e}{d x + c - 1} - 4 \, a b e\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{4 \, {\left(\frac{{\left(d x + c + 1\right)}^{2} d^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} d^{2}}{d x + c - 1} + d^{2}\right)}}"," ",0,"1/4*((d*x + c + 1)*b^2*e*log(-(d*x + c + 1)/(d*x + c - 1))^2/(d*x + c - 1) - 2*(d*x + c + 1)^2*b^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 4*(d*x + c + 1)*b^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 2*b^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1) + 4*(d*x + c + 1)*a*b*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)^2*b^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 2*(d*x + c + 1)*b^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 4*(d*x + c + 1)*a^2*e/(d*x + c - 1) + 4*(d*x + c + 1)*a*b*e/(d*x + c - 1) - 4*a*b*e)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^2*d^2/(d*x + c - 1)^2 - 2*(d*x + c + 1)*d^2/(d*x + c - 1) + d^2)","B",0
18,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2/(d*e*x + c*e), x)","F",0
19,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}}{{\left(d e x + c e\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2/(d*e*x + c*e)^2, x)","F",0
20,1,356,0,0.182975," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^3,x, algorithm=""giac"")","\frac{{\left(\frac{{\left(d x + c + 1\right)} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2}}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)}^{2} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{4 \, {\left(d x + c + 1\right)} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{d x + c - 1} + 2 \, b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right) + \frac{4 \, {\left(d x + c + 1\right)} a b \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{2 \, {\left(d x + c + 1\right)}^{2} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{4 \, {\left(d x + c + 1\right)} a^{2}}{d x + c - 1} + \frac{4 \, {\left(d x + c + 1\right)} a b}{d x + c - 1} + 4 \, a b\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{4 \, {\left(\frac{{\left(d x + c + 1\right)}^{2} d^{2} e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} d^{2} e^{3}}{d x + c - 1} + d^{2} e^{3}\right)}}"," ",0,"1/4*((d*x + c + 1)*b^2*log(-(d*x + c + 1)/(d*x + c - 1))^2/(d*x + c - 1) + 2*(d*x + c + 1)^2*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1)^2 + 4*(d*x + c + 1)*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1) + 2*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1) + 4*(d*x + c + 1)*a*b*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 2*(d*x + c + 1)^2*b^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 2*(d*x + c + 1)*b^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 4*(d*x + c + 1)*a^2/(d*x + c - 1) + 4*(d*x + c + 1)*a*b/(d*x + c - 1) + 4*a*b)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^2*d^2*e^3/(d*x + c - 1)^2 + 2*(d*x + c + 1)*d^2*e^3/(d*x + c - 1) + d^2*e^3)","B",0
21,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^4,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}}{{\left(d e x + c e\right)}^{4}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2/(d*e*x + c*e)^4, x)","F",0
22,1,758,0,0.198725," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^5,x, algorithm=""giac"")","\frac{{\left(\frac{3 \, {\left(d x + c + 1\right)}^{3} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{3 \, {\left(d x + c + 1\right)} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2}}{d x + c - 1} + \frac{4 \, {\left(d x + c + 1\right)}^{4} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{16 \, {\left(d x + c + 1\right)}^{3} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{24 \, {\left(d x + c + 1\right)}^{2} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{16 \, {\left(d x + c + 1\right)} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right)}{d x + c - 1} + 4 \, b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} - 1\right) + \frac{12 \, {\left(d x + c + 1\right)}^{3} a b \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{12 \, {\left(d x + c + 1\right)} a b \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{4 \, {\left(d x + c + 1\right)}^{4} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{10 \, {\left(d x + c + 1\right)}^{3} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{12 \, {\left(d x + c + 1\right)}^{2} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} b^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{12 \, {\left(d x + c + 1\right)}^{3} a^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{12 \, {\left(d x + c + 1\right)} a^{2}}{d x + c - 1} + \frac{12 \, {\left(d x + c + 1\right)}^{3} a b}{{\left(d x + c - 1\right)}^{3}} + \frac{24 \, {\left(d x + c + 1\right)}^{2} a b}{{\left(d x + c - 1\right)}^{2}} + \frac{20 \, {\left(d x + c + 1\right)} a b}{d x + c - 1} + 8 \, a b + \frac{2 \, {\left(d x + c + 1\right)}^{3} b^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{4 \, {\left(d x + c + 1\right)}^{2} b^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b^{2}}{d x + c - 1}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{12 \, {\left(\frac{{\left(d x + c + 1\right)}^{4} d^{2} e^{5}}{{\left(d x + c - 1\right)}^{4}} + \frac{4 \, {\left(d x + c + 1\right)}^{3} d^{2} e^{5}}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)}^{2} d^{2} e^{5}}{{\left(d x + c - 1\right)}^{2}} + \frac{4 \, {\left(d x + c + 1\right)} d^{2} e^{5}}{d x + c - 1} + d^{2} e^{5}\right)}}"," ",0,"1/12*(3*(d*x + c + 1)^3*b^2*log(-(d*x + c + 1)/(d*x + c - 1))^2/(d*x + c - 1)^3 + 3*(d*x + c + 1)*b^2*log(-(d*x + c + 1)/(d*x + c - 1))^2/(d*x + c - 1) + 4*(d*x + c + 1)^4*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1)^4 + 16*(d*x + c + 1)^3*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1)^3 + 24*(d*x + c + 1)^2*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1)^2 + 16*(d*x + c + 1)*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1)/(d*x + c - 1) + 4*b^2*log(-(d*x + c + 1)/(d*x + c - 1) - 1) + 12*(d*x + c + 1)^3*a*b*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 12*(d*x + c + 1)*a*b*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 4*(d*x + c + 1)^4*b^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 - 10*(d*x + c + 1)^3*b^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 12*(d*x + c + 1)^2*b^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 6*(d*x + c + 1)*b^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 12*(d*x + c + 1)^3*a^2/(d*x + c - 1)^3 + 12*(d*x + c + 1)*a^2/(d*x + c - 1) + 12*(d*x + c + 1)^3*a*b/(d*x + c - 1)^3 + 24*(d*x + c + 1)^2*a*b/(d*x + c - 1)^2 + 20*(d*x + c + 1)*a*b/(d*x + c - 1) + 8*a*b + 2*(d*x + c + 1)^3*b^2/(d*x + c - 1)^3 + 4*(d*x + c + 1)^2*b^2/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b^2/(d*x + c - 1))*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^4*d^2*e^5/(d*x + c - 1)^4 + 4*(d*x + c + 1)^3*d^2*e^5/(d*x + c - 1)^3 + 6*(d*x + c + 1)^2*d^2*e^5/(d*x + c - 1)^2 + 4*(d*x + c + 1)*d^2*e^5/(d*x + c - 1) + d^2*e^5)","B",0
23,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arctanh(d*x+c))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(d e x + c e\right)} {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*e*x + c*e)*(b*arctanh(d*x + c) + a)^3, x)","F",0
25,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3/(d*e*x + c*e), x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3/(d*e*x + c*e)^2, x)","F",0
27,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3/(d*e*x + c*e)^3, x)","F",0
28,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^4,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{4}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3/(d*e*x + c*e)^4, x)","F",0
29,0,0,0,0.000000," ","integrate(arctanh(1+x)/(2+2*x),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(x + 1\right)}{2 \, {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/2*arctanh(x + 1)/(x + 1), x)","F",0
30,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(a*d/b+d*x),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)}{d x + \frac{a d}{b}}\,{d x}"," ",0,"integrate(arctanh(b*x + a)/(d*x + a*d/b), x)","F",0
31,1,3990,0,0.634210," ","integrate((f*x+e)^3*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","\frac{{\left(\frac{3 \, {\left(d x + c + 1\right)}^{4} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{12 \, {\left(d x + c + 1\right)}^{3} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{18 \, {\left(d x + c + 1\right)}^{2} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{12 \, {\left(d x + c + 1\right)} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} + 3 \, b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{9 \, {\left(d x + c + 1\right)}^{4} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{36 \, {\left(d x + c + 1\right)}^{3} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{54 \, {\left(d x + c + 1\right)}^{2} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{36 \, {\left(d x + c + 1\right)} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 9 \, b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{3 \, {\left(d x + c + 1\right)}^{4} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{9 \, {\left(d x + c + 1\right)}^{3} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{9 \, {\left(d x + c + 1\right)}^{2} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{3 \, {\left(d x + c + 1\right)} b c^{3} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{9 \, {\left(d x + c + 1\right)}^{4} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{27 \, {\left(d x + c + 1\right)}^{3} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{27 \, {\left(d x + c + 1\right)}^{2} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{9 \, {\left(d x + c + 1\right)} b c^{2} d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{6 \, {\left(d x + c + 1\right)}^{3} a c^{3} f^{3}}{{\left(d x + c - 1\right)}^{3}} + \frac{18 \, {\left(d x + c + 1\right)}^{2} a c^{3} f^{3}}{{\left(d x + c - 1\right)}^{2}} - \frac{18 \, {\left(d x + c + 1\right)} a c^{3} f^{3}}{d x + c - 1} + 6 \, a c^{3} f^{3} + \frac{18 \, {\left(d x + c + 1\right)}^{3} a c^{2} d f^{2} e}{{\left(d x + c - 1\right)}^{3}} - \frac{54 \, {\left(d x + c + 1\right)}^{2} a c^{2} d f^{2} e}{{\left(d x + c - 1\right)}^{2}} + \frac{54 \, {\left(d x + c + 1\right)} a c^{2} d f^{2} e}{d x + c - 1} - 18 \, a c^{2} d f^{2} e + \frac{9 \, {\left(d x + c + 1\right)}^{4} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{36 \, {\left(d x + c + 1\right)}^{3} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{54 \, {\left(d x + c + 1\right)}^{2} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{36 \, {\left(d x + c + 1\right)} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} + 9 \, b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) + \frac{9 \, {\left(d x + c + 1\right)}^{3} b c^{2} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{18 \, {\left(d x + c + 1\right)}^{2} b c^{2} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{9 \, {\left(d x + c + 1\right)} b c^{2} f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{9 \, {\left(d x + c + 1\right)}^{4} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{27 \, {\left(d x + c + 1\right)}^{3} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{27 \, {\left(d x + c + 1\right)}^{2} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{9 \, {\left(d x + c + 1\right)} b c d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{18 \, {\left(d x + c + 1\right)}^{3} b c d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{36 \, {\left(d x + c + 1\right)}^{2} b c d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{18 \, {\left(d x + c + 1\right)} b c d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{18 \, {\left(d x + c + 1\right)}^{3} a c^{2} f^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{36 \, {\left(d x + c + 1\right)}^{2} a c^{2} f^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{18 \, {\left(d x + c + 1\right)} a c^{2} f^{3}}{d x + c - 1} + \frac{9 \, {\left(d x + c + 1\right)}^{3} b c^{2} f^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{27 \, {\left(d x + c + 1\right)}^{2} b c^{2} f^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{27 \, {\left(d x + c + 1\right)} b c^{2} f^{3}}{d x + c - 1} - 9 \, b c^{2} f^{3} - \frac{18 \, {\left(d x + c + 1\right)}^{3} a c d^{2} f e^{2}}{{\left(d x + c - 1\right)}^{3}} + \frac{54 \, {\left(d x + c + 1\right)}^{2} a c d^{2} f e^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{54 \, {\left(d x + c + 1\right)} a c d^{2} f e^{2}}{d x + c - 1} + 18 \, a c d^{2} f e^{2} - \frac{36 \, {\left(d x + c + 1\right)}^{3} a c d f^{2} e}{{\left(d x + c - 1\right)}^{3}} + \frac{72 \, {\left(d x + c + 1\right)}^{2} a c d f^{2} e}{{\left(d x + c - 1\right)}^{2}} - \frac{36 \, {\left(d x + c + 1\right)} a c d f^{2} e}{d x + c - 1} - \frac{18 \, {\left(d x + c + 1\right)}^{3} b c d f^{2} e}{{\left(d x + c - 1\right)}^{3}} + \frac{54 \, {\left(d x + c + 1\right)}^{2} b c d f^{2} e}{{\left(d x + c - 1\right)}^{2}} - \frac{54 \, {\left(d x + c + 1\right)} b c d f^{2} e}{d x + c - 1} + 18 \, b c d f^{2} e + \frac{3 \, {\left(d x + c + 1\right)}^{4} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{12 \, {\left(d x + c + 1\right)}^{3} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{18 \, {\left(d x + c + 1\right)}^{2} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{12 \, {\left(d x + c + 1\right)} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} + 3 \, b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{3 \, {\left(d x + c + 1\right)}^{4} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{12 \, {\left(d x + c + 1\right)}^{3} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{18 \, {\left(d x + c + 1\right)}^{2} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 3 \, b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{3 \, {\left(d x + c + 1\right)}^{4} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{12 \, {\left(d x + c + 1\right)}^{3} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{18 \, {\left(d x + c + 1\right)}^{2} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 3 \, b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{3 \, {\left(d x + c + 1\right)}^{4} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} + \frac{3 \, {\left(d x + c + 1\right)}^{3} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{9 \, {\left(d x + c + 1\right)}^{2} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{9 \, {\left(d x + c + 1\right)} b c f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{3 \, {\left(d x + c + 1\right)}^{4} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{9 \, {\left(d x + c + 1\right)}^{3} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{9 \, {\left(d x + c + 1\right)}^{2} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{3 \, {\left(d x + c + 1\right)} b d^{3} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{9 \, {\left(d x + c + 1\right)}^{3} b d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{18 \, {\left(d x + c + 1\right)}^{2} b d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{9 \, {\left(d x + c + 1\right)} b d^{2} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{3 \, {\left(d x + c + 1\right)}^{4} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{4}} - \frac{3 \, {\left(d x + c + 1\right)}^{3} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{9 \, {\left(d x + c + 1\right)}^{2} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{9 \, {\left(d x + c + 1\right)} b d f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{18 \, {\left(d x + c + 1\right)}^{3} a c f^{3}}{{\left(d x + c - 1\right)}^{3}} + \frac{18 \, {\left(d x + c + 1\right)}^{2} a c f^{3}}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} a c f^{3}}{d x + c - 1} + 6 \, a c f^{3} - \frac{6 \, {\left(d x + c + 1\right)}^{3} b c f^{3}}{{\left(d x + c - 1\right)}^{3}} + \frac{12 \, {\left(d x + c + 1\right)}^{2} b c f^{3}}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} b c f^{3}}{d x + c - 1} + \frac{6 \, {\left(d x + c + 1\right)}^{3} a d^{3} e^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{18 \, {\left(d x + c + 1\right)}^{2} a d^{3} e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{18 \, {\left(d x + c + 1\right)} a d^{3} e^{3}}{d x + c - 1} - 6 \, a d^{3} e^{3} + \frac{18 \, {\left(d x + c + 1\right)}^{3} a d^{2} f e^{2}}{{\left(d x + c - 1\right)}^{3}} - \frac{36 \, {\left(d x + c + 1\right)}^{2} a d^{2} f e^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{18 \, {\left(d x + c + 1\right)} a d^{2} f e^{2}}{d x + c - 1} + \frac{9 \, {\left(d x + c + 1\right)}^{3} b d^{2} f e^{2}}{{\left(d x + c - 1\right)}^{3}} - \frac{27 \, {\left(d x + c + 1\right)}^{2} b d^{2} f e^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{27 \, {\left(d x + c + 1\right)} b d^{2} f e^{2}}{d x + c - 1} - 9 \, b d^{2} f e^{2} + \frac{18 \, {\left(d x + c + 1\right)}^{3} a d f^{2} e}{{\left(d x + c - 1\right)}^{3}} - \frac{18 \, {\left(d x + c + 1\right)}^{2} a d f^{2} e}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} a d f^{2} e}{d x + c - 1} - 6 \, a d f^{2} e + \frac{6 \, {\left(d x + c + 1\right)}^{3} b d f^{2} e}{{\left(d x + c - 1\right)}^{3}} - \frac{12 \, {\left(d x + c + 1\right)}^{2} b d f^{2} e}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} b d f^{2} e}{d x + c - 1} + \frac{3 \, {\left(d x + c + 1\right)}^{3} b f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{3 \, {\left(d x + c + 1\right)} b f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{6 \, {\left(d x + c + 1\right)}^{3} a f^{3}}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)} a f^{3}}{d x + c - 1} + \frac{3 \, {\left(d x + c + 1\right)}^{3} b f^{3}}{{\left(d x + c - 1\right)}^{3}} - \frac{6 \, {\left(d x + c + 1\right)}^{2} b f^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{5 \, {\left(d x + c + 1\right)} b f^{3}}{d x + c - 1} - 2 \, b f^{3}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{6 \, {\left(\frac{{\left(d x + c + 1\right)}^{4} d^{5}}{{\left(d x + c - 1\right)}^{4}} - \frac{4 \, {\left(d x + c + 1\right)}^{3} d^{5}}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)}^{2} d^{5}}{{\left(d x + c - 1\right)}^{2}} - \frac{4 \, {\left(d x + c + 1\right)} d^{5}}{d x + c - 1} + d^{5}\right)}}"," ",0,"1/6*(3*(d*x + c + 1)^4*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 - 12*(d*x + c + 1)^3*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 + 18*(d*x + c + 1)^2*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 - 12*(d*x + c + 1)*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) + 3*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 9*(d*x + c + 1)^4*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 + 36*(d*x + c + 1)^3*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 54*(d*x + c + 1)^2*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 36*(d*x + c + 1)*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 9*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 3*(d*x + c + 1)^4*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 + 9*(d*x + c + 1)^3*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 9*(d*x + c + 1)^2*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 3*(d*x + c + 1)*b*c^3*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 9*(d*x + c + 1)^4*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 - 27*(d*x + c + 1)^3*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 27*(d*x + c + 1)^2*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 9*(d*x + c + 1)*b*c^2*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 6*(d*x + c + 1)^3*a*c^3*f^3/(d*x + c - 1)^3 + 18*(d*x + c + 1)^2*a*c^3*f^3/(d*x + c - 1)^2 - 18*(d*x + c + 1)*a*c^3*f^3/(d*x + c - 1) + 6*a*c^3*f^3 + 18*(d*x + c + 1)^3*a*c^2*d*f^2*e/(d*x + c - 1)^3 - 54*(d*x + c + 1)^2*a*c^2*d*f^2*e/(d*x + c - 1)^2 + 54*(d*x + c + 1)*a*c^2*d*f^2*e/(d*x + c - 1) - 18*a*c^2*d*f^2*e + 9*(d*x + c + 1)^4*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 - 36*(d*x + c + 1)^3*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 + 54*(d*x + c + 1)^2*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 - 36*(d*x + c + 1)*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) + 9*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1) + 9*(d*x + c + 1)^3*b*c^2*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 18*(d*x + c + 1)^2*b*c^2*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 9*(d*x + c + 1)*b*c^2*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 9*(d*x + c + 1)^4*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 + 27*(d*x + c + 1)^3*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 27*(d*x + c + 1)^2*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 9*(d*x + c + 1)*b*c*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 18*(d*x + c + 1)^3*b*c*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 36*(d*x + c + 1)^2*b*c*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 18*(d*x + c + 1)*b*c*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 18*(d*x + c + 1)^3*a*c^2*f^3/(d*x + c - 1)^3 - 36*(d*x + c + 1)^2*a*c^2*f^3/(d*x + c - 1)^2 + 18*(d*x + c + 1)*a*c^2*f^3/(d*x + c - 1) + 9*(d*x + c + 1)^3*b*c^2*f^3/(d*x + c - 1)^3 - 27*(d*x + c + 1)^2*b*c^2*f^3/(d*x + c - 1)^2 + 27*(d*x + c + 1)*b*c^2*f^3/(d*x + c - 1) - 9*b*c^2*f^3 - 18*(d*x + c + 1)^3*a*c*d^2*f*e^2/(d*x + c - 1)^3 + 54*(d*x + c + 1)^2*a*c*d^2*f*e^2/(d*x + c - 1)^2 - 54*(d*x + c + 1)*a*c*d^2*f*e^2/(d*x + c - 1) + 18*a*c*d^2*f*e^2 - 36*(d*x + c + 1)^3*a*c*d*f^2*e/(d*x + c - 1)^3 + 72*(d*x + c + 1)^2*a*c*d*f^2*e/(d*x + c - 1)^2 - 36*(d*x + c + 1)*a*c*d*f^2*e/(d*x + c - 1) - 18*(d*x + c + 1)^3*b*c*d*f^2*e/(d*x + c - 1)^3 + 54*(d*x + c + 1)^2*b*c*d*f^2*e/(d*x + c - 1)^2 - 54*(d*x + c + 1)*b*c*d*f^2*e/(d*x + c - 1) + 18*b*c*d*f^2*e + 3*(d*x + c + 1)^4*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 - 12*(d*x + c + 1)^3*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 + 18*(d*x + c + 1)^2*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 - 12*(d*x + c + 1)*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) + 3*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 3*(d*x + c + 1)^4*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 + 12*(d*x + c + 1)^3*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 18*(d*x + c + 1)^2*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 12*(d*x + c + 1)*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 3*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 3*(d*x + c + 1)^4*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^4 + 12*(d*x + c + 1)^3*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 18*(d*x + c + 1)^2*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 12*(d*x + c + 1)*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 3*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 3*(d*x + c + 1)^4*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 + 3*(d*x + c + 1)^3*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 9*(d*x + c + 1)^2*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 9*(d*x + c + 1)*b*c*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 3*(d*x + c + 1)^4*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 - 9*(d*x + c + 1)^3*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 9*(d*x + c + 1)^2*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 3*(d*x + c + 1)*b*d^3*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 9*(d*x + c + 1)^3*b*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 18*(d*x + c + 1)^2*b*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 9*(d*x + c + 1)*b*d^2*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 3*(d*x + c + 1)^4*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^4 - 3*(d*x + c + 1)^3*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 9*(d*x + c + 1)^2*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 9*(d*x + c + 1)*b*d*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 18*(d*x + c + 1)^3*a*c*f^3/(d*x + c - 1)^3 + 18*(d*x + c + 1)^2*a*c*f^3/(d*x + c - 1)^2 - 6*(d*x + c + 1)*a*c*f^3/(d*x + c - 1) + 6*a*c*f^3 - 6*(d*x + c + 1)^3*b*c*f^3/(d*x + c - 1)^3 + 12*(d*x + c + 1)^2*b*c*f^3/(d*x + c - 1)^2 - 6*(d*x + c + 1)*b*c*f^3/(d*x + c - 1) + 6*(d*x + c + 1)^3*a*d^3*e^3/(d*x + c - 1)^3 - 18*(d*x + c + 1)^2*a*d^3*e^3/(d*x + c - 1)^2 + 18*(d*x + c + 1)*a*d^3*e^3/(d*x + c - 1) - 6*a*d^3*e^3 + 18*(d*x + c + 1)^3*a*d^2*f*e^2/(d*x + c - 1)^3 - 36*(d*x + c + 1)^2*a*d^2*f*e^2/(d*x + c - 1)^2 + 18*(d*x + c + 1)*a*d^2*f*e^2/(d*x + c - 1) + 9*(d*x + c + 1)^3*b*d^2*f*e^2/(d*x + c - 1)^3 - 27*(d*x + c + 1)^2*b*d^2*f*e^2/(d*x + c - 1)^2 + 27*(d*x + c + 1)*b*d^2*f*e^2/(d*x + c - 1) - 9*b*d^2*f*e^2 + 18*(d*x + c + 1)^3*a*d*f^2*e/(d*x + c - 1)^3 - 18*(d*x + c + 1)^2*a*d*f^2*e/(d*x + c - 1)^2 + 6*(d*x + c + 1)*a*d*f^2*e/(d*x + c - 1) - 6*a*d*f^2*e + 6*(d*x + c + 1)^3*b*d*f^2*e/(d*x + c - 1)^3 - 12*(d*x + c + 1)^2*b*d*f^2*e/(d*x + c - 1)^2 + 6*(d*x + c + 1)*b*d*f^2*e/(d*x + c - 1) + 3*(d*x + c + 1)^3*b*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 3*(d*x + c + 1)*b*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 6*(d*x + c + 1)^3*a*f^3/(d*x + c - 1)^3 + 6*(d*x + c + 1)*a*f^3/(d*x + c - 1) + 3*(d*x + c + 1)^3*b*f^3/(d*x + c - 1)^3 - 6*(d*x + c + 1)^2*b*f^3/(d*x + c - 1)^2 + 5*(d*x + c + 1)*b*f^3/(d*x + c - 1) - 2*b*f^3)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^4*d^5/(d*x + c - 1)^4 - 4*(d*x + c + 1)^3*d^5/(d*x + c - 1)^3 + 6*(d*x + c + 1)^2*d^5/(d*x + c - 1)^2 - 4*(d*x + c + 1)*d^5/(d*x + c - 1) + d^5)","B",0
32,1,1717,0,0.296033," ","integrate((f*x+e)^2*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, {\left(d x + c + 1\right)}^{3} b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{9 \, {\left(d x + c + 1\right)}^{2} b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{9 \, {\left(d x + c + 1\right)} b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 3 \, b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{6 \, {\left(d x + c + 1\right)}^{3} b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{18 \, {\left(d x + c + 1\right)}^{2} b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{18 \, {\left(d x + c + 1\right)} b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} + 6 \, b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{3 \, {\left(d x + c + 1\right)}^{3} b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)}^{2} b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{3 \, {\left(d x + c + 1\right)} b c^{2} f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{6 \, {\left(d x + c + 1\right)}^{3} b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{12 \, {\left(d x + c + 1\right)}^{2} b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} b c d f e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{6 \, {\left(d x + c + 1\right)}^{2} a c^{2} f^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} a c^{2} f^{2}}{d x + c - 1} - 6 \, a c^{2} f^{2} + \frac{12 \, {\left(d x + c + 1\right)}^{2} a c d f e}{{\left(d x + c - 1\right)}^{2}} - \frac{24 \, {\left(d x + c + 1\right)} a c d f e}{d x + c - 1} + 12 \, a c d f e + \frac{3 \, {\left(d x + c + 1\right)}^{3} b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{9 \, {\left(d x + c + 1\right)}^{2} b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{9 \, {\left(d x + c + 1\right)} b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - 3 \, b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) + \frac{6 \, {\left(d x + c + 1\right)}^{2} b c f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} b c f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{3 \, {\left(d x + c + 1\right)}^{3} b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} + \frac{6 \, {\left(d x + c + 1\right)}^{2} b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{3 \, {\left(d x + c + 1\right)} b d^{2} e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{6 \, {\left(d x + c + 1\right)}^{2} b d f e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} b d f e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{12 \, {\left(d x + c + 1\right)}^{2} a c f^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{12 \, {\left(d x + c + 1\right)} a c f^{2}}{d x + c - 1} + \frac{6 \, {\left(d x + c + 1\right)}^{2} b c f^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{12 \, {\left(d x + c + 1\right)} b c f^{2}}{d x + c - 1} + 6 \, b c f^{2} - \frac{6 \, {\left(d x + c + 1\right)}^{2} a d^{2} e^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} a d^{2} e^{2}}{d x + c - 1} - 6 \, a d^{2} e^{2} - \frac{12 \, {\left(d x + c + 1\right)}^{2} a d f e}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} a d f e}{d x + c - 1} - \frac{6 \, {\left(d x + c + 1\right)}^{2} b d f e}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} b d f e}{d x + c - 1} - 6 \, b d f e + \frac{{\left(d x + c + 1\right)}^{3} b f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{3 \, {\left(d x + c + 1\right)}^{2} b f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{3 \, {\left(d x + c + 1\right)} b f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - b f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{{\left(d x + c + 1\right)}^{3} b f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{3}} - \frac{3 \, {\left(d x + c + 1\right)} b f^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{6 \, {\left(d x + c + 1\right)}^{2} a f^{2}}{{\left(d x + c - 1\right)}^{2}} - 2 \, a f^{2} - \frac{2 \, {\left(d x + c + 1\right)}^{2} b f^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b f^{2}}{d x + c - 1}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{6 \, {\left(\frac{{\left(d x + c + 1\right)}^{3} d^{4}}{{\left(d x + c - 1\right)}^{3}} - \frac{3 \, {\left(d x + c + 1\right)}^{2} d^{4}}{{\left(d x + c - 1\right)}^{2}} + \frac{3 \, {\left(d x + c + 1\right)} d^{4}}{d x + c - 1} - d^{4}\right)}}"," ",0,"-1/6*(3*(d*x + c + 1)^3*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 9*(d*x + c + 1)^2*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 9*(d*x + c + 1)*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 3*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 6*(d*x + c + 1)^3*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 + 18*(d*x + c + 1)^2*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 - 18*(d*x + c + 1)*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) + 6*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - 3*(d*x + c + 1)^3*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 6*(d*x + c + 1)^2*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 3*(d*x + c + 1)*b*c^2*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 6*(d*x + c + 1)^3*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 12*(d*x + c + 1)^2*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 6*(d*x + c + 1)*b*c*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 6*(d*x + c + 1)^2*a*c^2*f^2/(d*x + c - 1)^2 + 12*(d*x + c + 1)*a*c^2*f^2/(d*x + c - 1) - 6*a*c^2*f^2 + 12*(d*x + c + 1)^2*a*c*d*f*e/(d*x + c - 1)^2 - 24*(d*x + c + 1)*a*c*d*f*e/(d*x + c - 1) + 12*a*c*d*f*e + 3*(d*x + c + 1)^3*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 9*(d*x + c + 1)^2*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 9*(d*x + c + 1)*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - 3*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1) + 6*(d*x + c + 1)^2*b*c*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 6*(d*x + c + 1)*b*c*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 3*(d*x + c + 1)^3*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 + 6*(d*x + c + 1)^2*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 3*(d*x + c + 1)*b*d^2*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 6*(d*x + c + 1)^2*b*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 6*(d*x + c + 1)*b*d*f*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 12*(d*x + c + 1)^2*a*c*f^2/(d*x + c - 1)^2 - 12*(d*x + c + 1)*a*c*f^2/(d*x + c - 1) + 6*(d*x + c + 1)^2*b*c*f^2/(d*x + c - 1)^2 - 12*(d*x + c + 1)*b*c*f^2/(d*x + c - 1) + 6*b*c*f^2 - 6*(d*x + c + 1)^2*a*d^2*e^2/(d*x + c - 1)^2 + 12*(d*x + c + 1)*a*d^2*e^2/(d*x + c - 1) - 6*a*d^2*e^2 - 12*(d*x + c + 1)^2*a*d*f*e/(d*x + c - 1)^2 + 12*(d*x + c + 1)*a*d*f*e/(d*x + c - 1) - 6*(d*x + c + 1)^2*b*d*f*e/(d*x + c - 1)^2 + 12*(d*x + c + 1)*b*d*f*e/(d*x + c - 1) - 6*b*d*f*e + (d*x + c + 1)^3*b*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^3 - 3*(d*x + c + 1)^2*b*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 3*(d*x + c + 1)*b*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - b*f^2*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - (d*x + c + 1)^3*b*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^3 - 3*(d*x + c + 1)*b*f^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 6*(d*x + c + 1)^2*a*f^2/(d*x + c - 1)^2 - 2*a*f^2 - 2*(d*x + c + 1)^2*b*f^2/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b*f^2/(d*x + c - 1))*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^3*d^4/(d*x + c - 1)^3 - 3*(d*x + c + 1)^2*d^4/(d*x + c - 1)^2 + 3*(d*x + c + 1)*d^4/(d*x + c - 1) - d^4)","B",0
33,1,536,0,0.207072," ","integrate((f*x+e)*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","\frac{{\left(\frac{{\left(d x + c + 1\right)}^{2} b c f \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} b c f \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} + b c f \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{{\left(d x + c + 1\right)}^{2} b d e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b d e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right)}{d x + c - 1} - b d e \log\left(-\frac{d x + c + 1}{d x + c - 1} + 1\right) - \frac{{\left(d x + c + 1\right)}^{2} b c f \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{{\left(d x + c + 1\right)} b c f \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{{\left(d x + c + 1\right)}^{2} b d e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{{\left(d x + c + 1\right)} b d e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{2 \, {\left(d x + c + 1\right)} a c f}{d x + c - 1} + 2 \, a c f + \frac{2 \, {\left(d x + c + 1\right)} a d e}{d x + c - 1} - 2 \, a d e + \frac{{\left(d x + c + 1\right)} b f \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)} a f}{d x + c - 1} + \frac{{\left(d x + c + 1\right)} b f}{d x + c - 1} - b f\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{2 \, {\left(\frac{{\left(d x + c + 1\right)}^{2} d^{3}}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} d^{3}}{d x + c - 1} + d^{3}\right)}}"," ",0,"1/2*((d*x + c + 1)^2*b*c*f*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 - 2*(d*x + c + 1)*b*c*f*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) + b*c*f*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - (d*x + c + 1)^2*b*d*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b*d*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1)/(d*x + c - 1) - b*d*e*log(-(d*x + c + 1)/(d*x + c - 1) + 1) - (d*x + c + 1)^2*b*c*f*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + (d*x + c + 1)*b*c*f*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + (d*x + c + 1)^2*b*d*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - (d*x + c + 1)*b*d*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 2*(d*x + c + 1)*a*c*f/(d*x + c - 1) + 2*a*c*f + 2*(d*x + c + 1)*a*d*e/(d*x + c - 1) - 2*a*d*e + (d*x + c + 1)*b*f*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)*a*f/(d*x + c - 1) + (d*x + c + 1)*b*f/(d*x + c - 1) - b*f)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^2*d^3/(d*x + c - 1)^2 - 2*(d*x + c + 1)*d^3/(d*x + c - 1) + d^3)","B",0
34,1,200,0,0.518049," ","integrate(a+b*arctanh(d*x+c),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)} b {\left(\frac{\log\left(\frac{{\left| -d x - c - 1 \right|}}{{\left| d x + c - 1 \right|}}\right)}{d^{2}} - \frac{\log\left({\left| -\frac{d x + c + 1}{d x + c - 1} + 1 \right|}\right)}{d^{2}} + \frac{\log\left(-\frac{c - \frac{{\left(\frac{{\left(d x + c + 1\right)} {\left(c - 1\right)}}{d x + c - 1} - c - 1\right)} d}{\frac{{\left(d x + c + 1\right)} d}{d x + c - 1} - d} + 1}{c - \frac{{\left(\frac{{\left(d x + c + 1\right)} {\left(c - 1\right)}}{d x + c - 1} - c - 1\right)} d}{\frac{{\left(d x + c + 1\right)} d}{d x + c - 1} - d} - 1}\right)}{d^{2} {\left(\frac{d x + c + 1}{d x + c - 1} - 1\right)}}\right)} + a x"," ",0,"1/2*((c + 1)*d - (c - 1)*d)*b*(log(abs(-d*x - c - 1)/abs(d*x + c - 1))/d^2 - log(abs(-(d*x + c + 1)/(d*x + c - 1) + 1))/d^2 + log(-(c - ((d*x + c + 1)*(c - 1)/(d*x + c - 1) - c - 1)*d/((d*x + c + 1)*d/(d*x + c - 1) - d) + 1)/(c - ((d*x + c + 1)*(c - 1)/(d*x + c - 1) - c - 1)*d/((d*x + c + 1)*d/(d*x + c - 1) - d) - 1))/(d^2*((d*x + c + 1)/(d*x + c - 1) - 1))) + a*x","B",0
35,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))/(f*x+e),x, algorithm=""giac"")","\int \frac{b \operatorname{artanh}\left(d x + c\right) + a}{f x + e}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)/(f*x + e), x)","F",0
36,1,896,0,0.273425," ","integrate((a+b*arctanh(d*x+c))/(f*x+e)^2,x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(d x + c + 1\right)} b c f \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} - b c f \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{{\left(d x + c + 1\right)} b d e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} + b d e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{{\left(d x + c + 1\right)} b c f \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{{\left(d x + c + 1\right)} b d e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - 2 \, a c f + 2 \, a d e - \frac{{\left(d x + c + 1\right)} b f \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} - b f \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) + \frac{{\left(d x + c + 1\right)} b f \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - 2 \, a f\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{2 \, {\left(\frac{{\left(d x + c + 1\right)} c^{3} f^{3}}{d x + c - 1} - c^{3} f^{3} - \frac{3 \, {\left(d x + c + 1\right)} c^{2} d f^{2} e}{d x + c - 1} + 3 \, c^{2} d f^{2} e - \frac{{\left(d x + c + 1\right)} c^{2} f^{3}}{d x + c - 1} - c^{2} f^{3} + \frac{3 \, {\left(d x + c + 1\right)} c d^{2} f e^{2}}{d x + c - 1} - 3 \, c d^{2} f e^{2} + \frac{2 \, {\left(d x + c + 1\right)} c d f^{2} e}{d x + c - 1} + 2 \, c d f^{2} e - \frac{{\left(d x + c + 1\right)} c f^{3}}{d x + c - 1} + c f^{3} - \frac{{\left(d x + c + 1\right)} d^{3} e^{3}}{d x + c - 1} + d^{3} e^{3} - \frac{{\left(d x + c + 1\right)} d^{2} f e^{2}}{d x + c - 1} - d^{2} f e^{2} + \frac{{\left(d x + c + 1\right)} d f^{2} e}{d x + c - 1} - d f^{2} e + \frac{{\left(d x + c + 1\right)} f^{3}}{d x + c - 1} + f^{3}\right)}}"," ",0,"-1/2*((d*x + c + 1)*b*c*f*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) - b*c*f*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - (d*x + c + 1)*b*d*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) + b*d*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - (d*x + c + 1)*b*c*f*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + (d*x + c + 1)*b*d*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 2*a*c*f + 2*a*d*e - (d*x + c + 1)*b*f*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) - b*f*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) + (d*x + c + 1)*b*f*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 2*a*f)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)*c^3*f^3/(d*x + c - 1) - c^3*f^3 - 3*(d*x + c + 1)*c^2*d*f^2*e/(d*x + c - 1) + 3*c^2*d*f^2*e - (d*x + c + 1)*c^2*f^3/(d*x + c - 1) - c^2*f^3 + 3*(d*x + c + 1)*c*d^2*f*e^2/(d*x + c - 1) - 3*c*d^2*f*e^2 + 2*(d*x + c + 1)*c*d*f^2*e/(d*x + c - 1) + 2*c*d*f^2*e - (d*x + c + 1)*c*f^3/(d*x + c - 1) + c*f^3 - (d*x + c + 1)*d^3*e^3/(d*x + c - 1) + d^3*e^3 - (d*x + c + 1)*d^2*f*e^2/(d*x + c - 1) - d^2*f*e^2 + (d*x + c + 1)*d*f^2*e/(d*x + c - 1) - d*f^2*e + (d*x + c + 1)*f^3/(d*x + c - 1) + f^3)","B",0
37,1,4720,0,0.411620," ","integrate((a+b*arctanh(d*x+c))/(f*x+e)^3,x, algorithm=""giac"")","\frac{{\left(\frac{{\left(d x + c + 1\right)}^{2} b c^{3} d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} b c^{3} d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} + b c^{3} d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{3 \, {\left(d x + c + 1\right)}^{2} b c^{2} d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} b c^{2} d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} - 3 \, b c^{2} d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{{\left(d x + c + 1\right)}^{2} b c^{3} d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{{\left(d x + c + 1\right)} b c^{3} d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{3 \, {\left(d x + c + 1\right)}^{2} b c^{2} d^{2} f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{3 \, {\left(d x + c + 1\right)} b c^{2} d^{2} f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{2 \, {\left(d x + c + 1\right)} a c^{3} d f^{3}}{d x + c - 1} + 2 \, a c^{3} d f^{3} + \frac{6 \, {\left(d x + c + 1\right)} a c^{2} d^{2} f^{2} e}{d x + c - 1} - 6 \, a c^{2} d^{2} f^{2} e - \frac{2 \, {\left(d x + c + 1\right)}^{2} b c^{2} d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} + 2 \, b c^{2} d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) + \frac{3 \, {\left(d x + c + 1\right)}^{2} b c d^{3} f e^{2} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} b c d^{3} f e^{2} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} + 3 \, b c d^{3} f e^{2} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) + \frac{4 \, {\left(d x + c + 1\right)}^{2} b c d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} - 4 \, b c d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) + \frac{2 \, {\left(d x + c + 1\right)}^{2} b c^{2} d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{{\left(d x + c + 1\right)} b c^{2} d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{3 \, {\left(d x + c + 1\right)}^{2} b c d^{3} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{3 \, {\left(d x + c + 1\right)} b c d^{3} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{4 \, {\left(d x + c + 1\right)}^{2} b c d^{2} f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b c d^{2} f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} - \frac{2 \, {\left(d x + c + 1\right)} a c^{2} d f^{3}}{d x + c - 1} + 4 \, a c^{2} d f^{3} - \frac{{\left(d x + c + 1\right)} b c^{2} d f^{3}}{d x + c - 1} + b c^{2} d f^{3} - \frac{6 \, {\left(d x + c + 1\right)} a c d^{3} f e^{2}}{d x + c - 1} + 6 \, a c d^{3} f e^{2} + \frac{4 \, {\left(d x + c + 1\right)} a c d^{2} f^{2} e}{d x + c - 1} - 8 \, a c d^{2} f^{2} e + \frac{2 \, {\left(d x + c + 1\right)} b c d^{2} f^{2} e}{d x + c - 1} - 2 \, b c d^{2} f^{2} e + \frac{{\left(d x + c + 1\right)}^{2} b c d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b c d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} + b c d f^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{{\left(d x + c + 1\right)}^{2} b d^{4} e^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} b d^{4} e^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} - b d^{4} e^{3} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{2 \, {\left(d x + c + 1\right)}^{2} b d^{3} f e^{2} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} + 2 \, b d^{3} f e^{2} \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{{\left(d x + c + 1\right)}^{2} b d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} b d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right)}{d x + c - 1} - b d^{2} f^{2} e \log\left(\frac{{\left(d x + c + 1\right)} c f}{d x + c - 1} - c f - \frac{{\left(d x + c + 1\right)} d e}{d x + c - 1} + d e - \frac{{\left(d x + c + 1\right)} f}{d x + c - 1} - f\right) - \frac{{\left(d x + c + 1\right)}^{2} b c d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{{\left(d x + c + 1\right)} b c d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{{\left(d x + c + 1\right)}^{2} b d^{4} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{{\left(d x + c + 1\right)} b d^{4} e^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)}^{2} b d^{3} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} - \frac{{\left(d x + c + 1\right)} b d^{3} f e^{2} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{{\left(d x + c + 1\right)}^{2} b d^{2} f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{{\left(d x + c - 1\right)}^{2}} + \frac{{\left(d x + c + 1\right)} b d^{2} f^{2} e \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)} a c d f^{3}}{d x + c - 1} + 2 \, a c d f^{3} + 2 \, b c d f^{3} + \frac{2 \, {\left(d x + c + 1\right)} a d^{4} e^{3}}{d x + c - 1} - 2 \, a d^{4} e^{3} - \frac{2 \, {\left(d x + c + 1\right)} a d^{3} f e^{2}}{d x + c - 1} + 4 \, a d^{3} f e^{2} - \frac{{\left(d x + c + 1\right)} b d^{3} f e^{2}}{d x + c - 1} + b d^{3} f e^{2} - \frac{2 \, {\left(d x + c + 1\right)} a d^{2} f^{2} e}{d x + c - 1} - 2 \, a d^{2} f^{2} e - 2 \, b d^{2} f^{2} e + \frac{{\left(d x + c + 1\right)} b d f^{3} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{d x + c - 1} + \frac{2 \, {\left(d x + c + 1\right)} a d f^{3}}{d x + c - 1} + \frac{{\left(d x + c + 1\right)} b d f^{3}}{d x + c - 1} + b d f^{3}\right)} {\left({\left(c + 1\right)} d - {\left(c - 1\right)} d\right)}}{2 \, {\left(\frac{{\left(d x + c + 1\right)}^{2} c^{6} f^{6}}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} c^{6} f^{6}}{d x + c - 1} + c^{6} f^{6} - \frac{6 \, {\left(d x + c + 1\right)}^{2} c^{5} d f^{5} e}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} c^{5} d f^{5} e}{d x + c - 1} - 6 \, c^{5} d f^{5} e - \frac{2 \, {\left(d x + c + 1\right)}^{2} c^{5} f^{6}}{{\left(d x + c - 1\right)}^{2}} + 2 \, c^{5} f^{6} + \frac{15 \, {\left(d x + c + 1\right)}^{2} c^{4} d^{2} f^{4} e^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{30 \, {\left(d x + c + 1\right)} c^{4} d^{2} f^{4} e^{2}}{d x + c - 1} + 15 \, c^{4} d^{2} f^{4} e^{2} + \frac{10 \, {\left(d x + c + 1\right)}^{2} c^{4} d f^{5} e}{{\left(d x + c - 1\right)}^{2}} - 10 \, c^{4} d f^{5} e - \frac{{\left(d x + c + 1\right)}^{2} c^{4} f^{6}}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} c^{4} f^{6}}{d x + c - 1} - c^{4} f^{6} - \frac{20 \, {\left(d x + c + 1\right)}^{2} c^{3} d^{3} f^{3} e^{3}}{{\left(d x + c - 1\right)}^{2}} + \frac{40 \, {\left(d x + c + 1\right)} c^{3} d^{3} f^{3} e^{3}}{d x + c - 1} - 20 \, c^{3} d^{3} f^{3} e^{3} - \frac{20 \, {\left(d x + c + 1\right)}^{2} c^{3} d^{2} f^{4} e^{2}}{{\left(d x + c - 1\right)}^{2}} + 20 \, c^{3} d^{2} f^{4} e^{2} + \frac{4 \, {\left(d x + c + 1\right)}^{2} c^{3} d f^{5} e}{{\left(d x + c - 1\right)}^{2}} - \frac{24 \, {\left(d x + c + 1\right)} c^{3} d f^{5} e}{d x + c - 1} + 4 \, c^{3} d f^{5} e + \frac{4 \, {\left(d x + c + 1\right)}^{2} c^{3} f^{6}}{{\left(d x + c - 1\right)}^{2}} - 4 \, c^{3} f^{6} + \frac{15 \, {\left(d x + c + 1\right)}^{2} c^{2} d^{4} f^{2} e^{4}}{{\left(d x + c - 1\right)}^{2}} - \frac{30 \, {\left(d x + c + 1\right)} c^{2} d^{4} f^{2} e^{4}}{d x + c - 1} + 15 \, c^{2} d^{4} f^{2} e^{4} + \frac{20 \, {\left(d x + c + 1\right)}^{2} c^{2} d^{3} f^{3} e^{3}}{{\left(d x + c - 1\right)}^{2}} - 20 \, c^{2} d^{3} f^{3} e^{3} - \frac{6 \, {\left(d x + c + 1\right)}^{2} c^{2} d^{2} f^{4} e^{2}}{{\left(d x + c - 1\right)}^{2}} + \frac{36 \, {\left(d x + c + 1\right)} c^{2} d^{2} f^{4} e^{2}}{d x + c - 1} - 6 \, c^{2} d^{2} f^{4} e^{2} - \frac{12 \, {\left(d x + c + 1\right)}^{2} c^{2} d f^{5} e}{{\left(d x + c - 1\right)}^{2}} + 12 \, c^{2} d f^{5} e - \frac{{\left(d x + c + 1\right)}^{2} c^{2} f^{6}}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} c^{2} f^{6}}{d x + c - 1} - c^{2} f^{6} - \frac{6 \, {\left(d x + c + 1\right)}^{2} c d^{5} f e^{5}}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} c d^{5} f e^{5}}{d x + c - 1} - 6 \, c d^{5} f e^{5} - \frac{10 \, {\left(d x + c + 1\right)}^{2} c d^{4} f^{2} e^{4}}{{\left(d x + c - 1\right)}^{2}} + 10 \, c d^{4} f^{2} e^{4} + \frac{4 \, {\left(d x + c + 1\right)}^{2} c d^{3} f^{3} e^{3}}{{\left(d x + c - 1\right)}^{2}} - \frac{24 \, {\left(d x + c + 1\right)} c d^{3} f^{3} e^{3}}{d x + c - 1} + 4 \, c d^{3} f^{3} e^{3} + \frac{12 \, {\left(d x + c + 1\right)}^{2} c d^{2} f^{4} e^{2}}{{\left(d x + c - 1\right)}^{2}} - 12 \, c d^{2} f^{4} e^{2} + \frac{2 \, {\left(d x + c + 1\right)}^{2} c d f^{5} e}{{\left(d x + c - 1\right)}^{2}} + \frac{12 \, {\left(d x + c + 1\right)} c d f^{5} e}{d x + c - 1} + 2 \, c d f^{5} e - \frac{2 \, {\left(d x + c + 1\right)}^{2} c f^{6}}{{\left(d x + c - 1\right)}^{2}} + 2 \, c f^{6} + \frac{{\left(d x + c + 1\right)}^{2} d^{6} e^{6}}{{\left(d x + c - 1\right)}^{2}} - \frac{2 \, {\left(d x + c + 1\right)} d^{6} e^{6}}{d x + c - 1} + d^{6} e^{6} + \frac{2 \, {\left(d x + c + 1\right)}^{2} d^{5} f e^{5}}{{\left(d x + c - 1\right)}^{2}} - 2 \, d^{5} f e^{5} - \frac{{\left(d x + c + 1\right)}^{2} d^{4} f^{2} e^{4}}{{\left(d x + c - 1\right)}^{2}} + \frac{6 \, {\left(d x + c + 1\right)} d^{4} f^{2} e^{4}}{d x + c - 1} - d^{4} f^{2} e^{4} - \frac{4 \, {\left(d x + c + 1\right)}^{2} d^{3} f^{3} e^{3}}{{\left(d x + c - 1\right)}^{2}} + 4 \, d^{3} f^{3} e^{3} - \frac{{\left(d x + c + 1\right)}^{2} d^{2} f^{4} e^{2}}{{\left(d x + c - 1\right)}^{2}} - \frac{6 \, {\left(d x + c + 1\right)} d^{2} f^{4} e^{2}}{d x + c - 1} - d^{2} f^{4} e^{2} + \frac{2 \, {\left(d x + c + 1\right)}^{2} d f^{5} e}{{\left(d x + c - 1\right)}^{2}} - 2 \, d f^{5} e + \frac{{\left(d x + c + 1\right)}^{2} f^{6}}{{\left(d x + c - 1\right)}^{2}} + \frac{2 \, {\left(d x + c + 1\right)} f^{6}}{d x + c - 1} + f^{6}\right)}}"," ",0,"1/2*((d*x + c + 1)^2*b*c^3*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 - 2*(d*x + c + 1)*b*c^3*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) + b*c^3*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - 3*(d*x + c + 1)^2*b*c^2*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 + 6*(d*x + c + 1)*b*c^2*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) - 3*b*c^2*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - (d*x + c + 1)^2*b*c^3*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + (d*x + c + 1)*b*c^3*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 3*(d*x + c + 1)^2*b*c^2*d^2*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - 3*(d*x + c + 1)*b*c^2*d^2*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 2*(d*x + c + 1)*a*c^3*d*f^3/(d*x + c - 1) + 2*a*c^3*d*f^3 + 6*(d*x + c + 1)*a*c^2*d^2*f^2*e/(d*x + c - 1) - 6*a*c^2*d^2*f^2*e - 2*(d*x + c + 1)^2*b*c^2*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 + 2*b*c^2*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) + 3*(d*x + c + 1)^2*b*c*d^3*f*e^2*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 - 6*(d*x + c + 1)*b*c*d^3*f*e^2*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) + 3*b*c*d^3*f*e^2*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) + 4*(d*x + c + 1)^2*b*c*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 - 4*b*c*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) + 2*(d*x + c + 1)^2*b*c^2*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - (d*x + c + 1)*b*c^2*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 3*(d*x + c + 1)^2*b*c*d^3*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 3*(d*x + c + 1)*b*c*d^3*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 4*(d*x + c + 1)^2*b*c*d^2*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b*c*d^2*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) - 2*(d*x + c + 1)*a*c^2*d*f^3/(d*x + c - 1) + 4*a*c^2*d*f^3 - (d*x + c + 1)*b*c^2*d*f^3/(d*x + c - 1) + b*c^2*d*f^3 - 6*(d*x + c + 1)*a*c*d^3*f*e^2/(d*x + c - 1) + 6*a*c*d^3*f*e^2 + 4*(d*x + c + 1)*a*c*d^2*f^2*e/(d*x + c - 1) - 8*a*c*d^2*f^2*e + 2*(d*x + c + 1)*b*c*d^2*f^2*e/(d*x + c - 1) - 2*b*c*d^2*f^2*e + (d*x + c + 1)^2*b*c*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b*c*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) + b*c*d*f^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - (d*x + c + 1)^2*b*d^4*e^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 + 2*(d*x + c + 1)*b*d^4*e^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) - b*d^4*e^3*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - 2*(d*x + c + 1)^2*b*d^3*f*e^2*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 + 2*b*d^3*f*e^2*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - (d*x + c + 1)^2*b*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1)^2 - 2*(d*x + c + 1)*b*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f)/(d*x + c - 1) - b*d^2*f^2*e*log((d*x + c + 1)*c*f/(d*x + c - 1) - c*f - (d*x + c + 1)*d*e/(d*x + c - 1) + d*e - (d*x + c + 1)*f/(d*x + c - 1) - f) - (d*x + c + 1)^2*b*c*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - (d*x + c + 1)*b*c*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + (d*x + c + 1)^2*b*d^4*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - (d*x + c + 1)*b*d^4*e^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)^2*b*d^3*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 - (d*x + c + 1)*b*d^3*f*e^2*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + (d*x + c + 1)^2*b*d^2*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1)^2 + (d*x + c + 1)*b*d^2*f^2*e*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)*a*c*d*f^3/(d*x + c - 1) + 2*a*c*d*f^3 + 2*b*c*d*f^3 + 2*(d*x + c + 1)*a*d^4*e^3/(d*x + c - 1) - 2*a*d^4*e^3 - 2*(d*x + c + 1)*a*d^3*f*e^2/(d*x + c - 1) + 4*a*d^3*f*e^2 - (d*x + c + 1)*b*d^3*f*e^2/(d*x + c - 1) + b*d^3*f*e^2 - 2*(d*x + c + 1)*a*d^2*f^2*e/(d*x + c - 1) - 2*a*d^2*f^2*e - 2*b*d^2*f^2*e + (d*x + c + 1)*b*d*f^3*log(-(d*x + c + 1)/(d*x + c - 1))/(d*x + c - 1) + 2*(d*x + c + 1)*a*d*f^3/(d*x + c - 1) + (d*x + c + 1)*b*d*f^3/(d*x + c - 1) + b*d*f^3)*((c + 1)*d - (c - 1)*d)/((d*x + c + 1)^2*c^6*f^6/(d*x + c - 1)^2 - 2*(d*x + c + 1)*c^6*f^6/(d*x + c - 1) + c^6*f^6 - 6*(d*x + c + 1)^2*c^5*d*f^5*e/(d*x + c - 1)^2 + 12*(d*x + c + 1)*c^5*d*f^5*e/(d*x + c - 1) - 6*c^5*d*f^5*e - 2*(d*x + c + 1)^2*c^5*f^6/(d*x + c - 1)^2 + 2*c^5*f^6 + 15*(d*x + c + 1)^2*c^4*d^2*f^4*e^2/(d*x + c - 1)^2 - 30*(d*x + c + 1)*c^4*d^2*f^4*e^2/(d*x + c - 1) + 15*c^4*d^2*f^4*e^2 + 10*(d*x + c + 1)^2*c^4*d*f^5*e/(d*x + c - 1)^2 - 10*c^4*d*f^5*e - (d*x + c + 1)^2*c^4*f^6/(d*x + c - 1)^2 + 6*(d*x + c + 1)*c^4*f^6/(d*x + c - 1) - c^4*f^6 - 20*(d*x + c + 1)^2*c^3*d^3*f^3*e^3/(d*x + c - 1)^2 + 40*(d*x + c + 1)*c^3*d^3*f^3*e^3/(d*x + c - 1) - 20*c^3*d^3*f^3*e^3 - 20*(d*x + c + 1)^2*c^3*d^2*f^4*e^2/(d*x + c - 1)^2 + 20*c^3*d^2*f^4*e^2 + 4*(d*x + c + 1)^2*c^3*d*f^5*e/(d*x + c - 1)^2 - 24*(d*x + c + 1)*c^3*d*f^5*e/(d*x + c - 1) + 4*c^3*d*f^5*e + 4*(d*x + c + 1)^2*c^3*f^6/(d*x + c - 1)^2 - 4*c^3*f^6 + 15*(d*x + c + 1)^2*c^2*d^4*f^2*e^4/(d*x + c - 1)^2 - 30*(d*x + c + 1)*c^2*d^4*f^2*e^4/(d*x + c - 1) + 15*c^2*d^4*f^2*e^4 + 20*(d*x + c + 1)^2*c^2*d^3*f^3*e^3/(d*x + c - 1)^2 - 20*c^2*d^3*f^3*e^3 - 6*(d*x + c + 1)^2*c^2*d^2*f^4*e^2/(d*x + c - 1)^2 + 36*(d*x + c + 1)*c^2*d^2*f^4*e^2/(d*x + c - 1) - 6*c^2*d^2*f^4*e^2 - 12*(d*x + c + 1)^2*c^2*d*f^5*e/(d*x + c - 1)^2 + 12*c^2*d*f^5*e - (d*x + c + 1)^2*c^2*f^6/(d*x + c - 1)^2 - 6*(d*x + c + 1)*c^2*f^6/(d*x + c - 1) - c^2*f^6 - 6*(d*x + c + 1)^2*c*d^5*f*e^5/(d*x + c - 1)^2 + 12*(d*x + c + 1)*c*d^5*f*e^5/(d*x + c - 1) - 6*c*d^5*f*e^5 - 10*(d*x + c + 1)^2*c*d^4*f^2*e^4/(d*x + c - 1)^2 + 10*c*d^4*f^2*e^4 + 4*(d*x + c + 1)^2*c*d^3*f^3*e^3/(d*x + c - 1)^2 - 24*(d*x + c + 1)*c*d^3*f^3*e^3/(d*x + c - 1) + 4*c*d^3*f^3*e^3 + 12*(d*x + c + 1)^2*c*d^2*f^4*e^2/(d*x + c - 1)^2 - 12*c*d^2*f^4*e^2 + 2*(d*x + c + 1)^2*c*d*f^5*e/(d*x + c - 1)^2 + 12*(d*x + c + 1)*c*d*f^5*e/(d*x + c - 1) + 2*c*d*f^5*e - 2*(d*x + c + 1)^2*c*f^6/(d*x + c - 1)^2 + 2*c*f^6 + (d*x + c + 1)^2*d^6*e^6/(d*x + c - 1)^2 - 2*(d*x + c + 1)*d^6*e^6/(d*x + c - 1) + d^6*e^6 + 2*(d*x + c + 1)^2*d^5*f*e^5/(d*x + c - 1)^2 - 2*d^5*f*e^5 - (d*x + c + 1)^2*d^4*f^2*e^4/(d*x + c - 1)^2 + 6*(d*x + c + 1)*d^4*f^2*e^4/(d*x + c - 1) - d^4*f^2*e^4 - 4*(d*x + c + 1)^2*d^3*f^3*e^3/(d*x + c - 1)^2 + 4*d^3*f^3*e^3 - (d*x + c + 1)^2*d^2*f^4*e^2/(d*x + c - 1)^2 - 6*(d*x + c + 1)*d^2*f^4*e^2/(d*x + c - 1) - d^2*f^4*e^2 + 2*(d*x + c + 1)^2*d*f^5*e/(d*x + c - 1)^2 - 2*d*f^5*e + (d*x + c + 1)^2*f^6/(d*x + c - 1)^2 + 2*(d*x + c + 1)*f^6/(d*x + c - 1) + f^6)","B",0
38,-1,0,0,0.000000," ","integrate((f*x+e)^3*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate((f*x+e)^2*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((f*x + e)*(b*arctanh(d*x + c) + a)^2, x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2, x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}}{f x + e}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2/(f*x + e), x)","F",0
43,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2/(f*x + e)^2, x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^2/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2/(f*x + e)^3, x)","F",0
45,-1,0,0,0.000000," ","integrate((f*x+e)^2*(a+b*arctanh(d*x+c))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*arctanh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((f*x + e)*(b*arctanh(d*x + c) + a)^3, x)","F",0
47,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3, x)","F",0
48,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}}{f x + e}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3/(f*x + e), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*arctanh(d*x+c))^3/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3/(f*x + e)^2, x)","F",0
50,0,0,0,0.000000," ","integrate((f*x+e)^m*(a+b*arctanh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{3} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^3*(f*x + e)^m, x)","F",0
51,0,0,0,0.000000," ","integrate((f*x+e)^m*(a+b*arctanh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)}^{2} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)^2*(f*x + e)^m, x)","F",0
52,0,0,0,0.000000," ","integrate((f*x+e)^m*(a+b*arctanh(d*x+c)),x, algorithm=""giac"")","\int {\left(b \operatorname{artanh}\left(d x + c\right) + a\right)} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((b*arctanh(d*x + c) + a)*(f*x + e)^m, x)","F",0
53,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(d*x^3+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
54,-1,0,0,0.000000," ","integrate(arctanh(b*x+a)/(d*x^2+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(arctanh(b*x + a)/(d*x + c), x)","F",0
56,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(c+d/x),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)}{c + \frac{d}{x}}\,{d x}"," ",0,"integrate(arctanh(b*x + a)/(c + d/x), x)","F",0
57,-1,0,0,0.000000," ","integrate(arctanh(b*x+a)/(c+d/x^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(c+d/x^3),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
59,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(c+d*x^(1/2)),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)}{d \sqrt{x} + c}\,{d x}"," ",0,"integrate(arctanh(b*x + a)/(d*sqrt(x) + c), x)","F",0
60,0,0,0,0.000000," ","integrate(arctanh(b*x+a)/(c+d/x^(1/2)),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(b x + a\right)}{c + \frac{d}{\sqrt{x}}}\,{d x}"," ",0,"integrate(arctanh(b*x + a)/(c + d/sqrt(x)), x)","F",0
61,-1,0,0,0.000000," ","integrate(arctanh(e*x+d)/(c*x^2+b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c))/(1-(d*x+c)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
