1,0,0,0,0.477437," ","integrate(x^3*arctanh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \operatorname{artanh}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^3*arctanh(b*x + a)^2, x)","F",0
2,0,0,0,0.448192," ","integrate(x^2*arctanh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \operatorname{artanh}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x^2*arctanh(b*x + a)^2, x)","F",0
3,0,0,0,0.548919," ","integrate(x*arctanh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(x \operatorname{artanh}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(x*arctanh(b*x + a)^2, x)","F",0
4,0,0,0,0.448515," ","integrate(arctanh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{artanh}\left(b x + a\right)^{2}, x\right)"," ",0,"integral(arctanh(b*x + a)^2, x)","F",0
5,0,0,0,0.433104," ","integrate(arctanh(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(arctanh(b*x + a)^2/x, x)","F",0
6,0,0,0,0.410116," ","integrate(arctanh(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(arctanh(b*x + a)^2/x^2, x)","F",0
7,0,0,0,0.568626," ","integrate(arctanh(b*x+a)^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + a\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(arctanh(b*x + a)^2/x^3, x)","F",0
8,0,0,0,0.469204," ","integrate(arctanh(b*x+1)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + 1\right)^{2}}{x}, x\right)"," ",0,"integral(arctanh(b*x + 1)^2/x, x)","F",0
9,1,159,0,0.556171," ","integrate((d*e*x+c*e)^3*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","\frac{6 \, a d^{4} e^{3} x^{4} + 2 \, {\left(12 \, a c + b\right)} d^{3} e^{3} x^{3} + 6 \, {\left(6 \, a c^{2} + b c\right)} d^{2} e^{3} x^{2} + 6 \, {\left(4 \, a c^{3} + b c^{2} + b\right)} d e^{3} x + 3 \, {\left(b d^{4} e^{3} x^{4} + 4 \, b c d^{3} e^{3} x^{3} + 6 \, b c^{2} d^{2} e^{3} x^{2} + 4 \, b c^{3} d e^{3} x + {\left(b c^{4} - b\right)} e^{3}\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{24 \, d}"," ",0,"1/24*(6*a*d^4*e^3*x^4 + 2*(12*a*c + b)*d^3*e^3*x^3 + 6*(6*a*c^2 + b*c)*d^2*e^3*x^2 + 6*(4*a*c^3 + b*c^2 + b)*d*e^3*x + 3*(b*d^4*e^3*x^4 + 4*b*c*d^3*e^3*x^3 + 6*b*c^2*d^2*e^3*x^2 + 4*b*c^3*d*e^3*x + (b*c^4 - b)*e^3)*log(-(d*x + c + 1)/(d*x + c - 1)))/d","B",0
10,1,144,0,0.497036," ","integrate((d*e*x+c*e)^2*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{3} e^{2} x^{3} + {\left(6 \, a c + b\right)} d^{2} e^{2} x^{2} + 2 \, {\left(3 \, a c^{2} + b c\right)} d e^{2} x + {\left(b c^{3} + b\right)} e^{2} \log\left(d x + c + 1\right) - {\left(b c^{3} - b\right)} e^{2} \log\left(d x + c - 1\right) + {\left(b d^{3} e^{2} x^{3} + 3 \, b c d^{2} e^{2} x^{2} + 3 \, b c^{2} d e^{2} x\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{6 \, d}"," ",0,"1/6*(2*a*d^3*e^2*x^3 + (6*a*c + b)*d^2*e^2*x^2 + 2*(3*a*c^2 + b*c)*d*e^2*x + (b*c^3 + b)*e^2*log(d*x + c + 1) - (b*c^3 - b)*e^2*log(d*x + c - 1) + (b*d^3*e^2*x^3 + 3*b*c*d^2*e^2*x^2 + 3*b*c^2*d*e^2*x)*log(-(d*x + c + 1)/(d*x + c - 1)))/d","B",0
11,1,73,0,0.557442," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} e x^{2} + 2 \, {\left(2 \, a c + b\right)} d e x + {\left(b d^{2} e x^{2} + 2 \, b c d e x + {\left(b c^{2} - b\right)} e\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{4 \, d}"," ",0,"1/4*(2*a*d^2*e*x^2 + 2*(2*a*c + b)*d*e*x + (b*d^2*e*x^2 + 2*b*c*d*e*x + (b*c^2 - b)*e)*log(-(d*x + c + 1)/(d*x + c - 1)))/d","A",0
12,0,0,0,0.516371," ","integrate((a+b*arctanh(d*x+c))/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(d x + c\right) + a}{d e x + c e}, x\right)"," ",0,"integral((b*arctanh(d*x + c) + a)/(d*e*x + c*e), x)","F",0
13,1,85,0,0.818687," ","integrate((a+b*arctanh(d*x+c))/(d*e*x+c*e)^2,x, algorithm=""fricas"")","-\frac{{\left(b d x + b c\right)} \log\left(d^{2} x^{2} + 2 \, c d x + c^{2} - 1\right) - 2 \, {\left(b d x + b c\right)} \log\left(d x + c\right) + b \log\left(-\frac{d x + c + 1}{d x + c - 1}\right) + 2 \, a}{2 \, {\left(d^{2} e^{2} x + c d e^{2}\right)}}"," ",0,"-1/2*((b*d*x + b*c)*log(d^2*x^2 + 2*c*d*x + c^2 - 1) - 2*(b*d*x + b*c)*log(d*x + c) + b*log(-(d*x + c + 1)/(d*x + c - 1)) + 2*a)/(d^2*e^2*x + c*d*e^2)","A",0
14,1,88,0,0.572052," ","integrate((a+b*arctanh(d*x+c))/(d*e*x+c*e)^3,x, algorithm=""fricas"")","-\frac{2 \, b d x + 2 \, b c - {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} - b\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right) + 2 \, a}{4 \, {\left(d^{3} e^{3} x^{2} + 2 \, c d^{2} e^{3} x + c^{2} d e^{3}\right)}}"," ",0,"-1/4*(2*b*d*x + 2*b*c - (b*d^2*x^2 + 2*b*c*d*x + b*c^2 - b)*log(-(d*x + c + 1)/(d*x + c - 1)) + 2*a)/(d^3*e^3*x^2 + 2*c*d^2*e^3*x + c^2*d*e^3)","A",0
15,1,383,0,0.739090," ","integrate((d*e*x+c*e)^3*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","\frac{12 \, a^{2} d^{4} e^{3} x^{4} + 8 \, {\left(6 \, a^{2} c + a b\right)} d^{3} e^{3} x^{3} + 4 \, {\left(18 \, a^{2} c^{2} + 6 \, a b c + b^{2}\right)} d^{2} e^{3} x^{2} + 8 \, {\left(6 \, a^{2} c^{3} + 3 \, a b c^{2} + b^{2} c + 3 \, a b\right)} d e^{3} x + 4 \, {\left(3 \, a b c^{4} + b^{2} c^{3} + 3 \, b^{2} c - 3 \, a b + 4 \, b^{2}\right)} e^{3} \log\left(d x + c + 1\right) - 4 \, {\left(3 \, a b c^{4} + b^{2} c^{3} + 3 \, b^{2} c - 3 \, a b - 4 \, b^{2}\right)} e^{3} \log\left(d x + c - 1\right) + 3 \, {\left(b^{2} d^{4} e^{3} x^{4} + 4 \, b^{2} c d^{3} e^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} e^{3} x^{2} + 4 \, b^{2} c^{3} d e^{3} x + {\left(b^{2} c^{4} - b^{2}\right)} e^{3}\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2} + 4 \, {\left(3 \, a b d^{4} e^{3} x^{4} + {\left(12 \, a b c + b^{2}\right)} d^{3} e^{3} x^{3} + 3 \, {\left(6 \, a b c^{2} + b^{2} c\right)} d^{2} e^{3} x^{2} + 3 \, {\left(4 \, a b c^{3} + b^{2} c^{2} + b^{2}\right)} d e^{3} x\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{48 \, d}"," ",0,"1/48*(12*a^2*d^4*e^3*x^4 + 8*(6*a^2*c + a*b)*d^3*e^3*x^3 + 4*(18*a^2*c^2 + 6*a*b*c + b^2)*d^2*e^3*x^2 + 8*(6*a^2*c^3 + 3*a*b*c^2 + b^2*c + 3*a*b)*d*e^3*x + 4*(3*a*b*c^4 + b^2*c^3 + 3*b^2*c - 3*a*b + 4*b^2)*e^3*log(d*x + c + 1) - 4*(3*a*b*c^4 + b^2*c^3 + 3*b^2*c - 3*a*b - 4*b^2)*e^3*log(d*x + c - 1) + 3*(b^2*d^4*e^3*x^4 + 4*b^2*c*d^3*e^3*x^3 + 6*b^2*c^2*d^2*e^3*x^2 + 4*b^2*c^3*d*e^3*x + (b^2*c^4 - b^2)*e^3)*log(-(d*x + c + 1)/(d*x + c - 1))^2 + 4*(3*a*b*d^4*e^3*x^4 + (12*a*b*c + b^2)*d^3*e^3*x^3 + 3*(6*a*b*c^2 + b^2*c)*d^2*e^3*x^2 + 3*(4*a*b*c^3 + b^2*c^2 + b^2)*d*e^3*x)*log(-(d*x + c + 1)/(d*x + c - 1)))/d","B",0
16,0,0,0,0.662703," ","integrate((d*e*x+c*e)^2*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} d^{2} e^{2} x^{2} + 2 \, a^{2} c d e^{2} x + a^{2} c^{2} e^{2} + {\left(b^{2} d^{2} e^{2} x^{2} + 2 \, b^{2} c d e^{2} x + b^{2} c^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} e^{2} x^{2} + 2 \, a b c d e^{2} x + a b c^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^2*d^2*e^2*x^2 + 2*a^2*c*d*e^2*x + a^2*c^2*e^2 + (b^2*d^2*e^2*x^2 + 2*b^2*c*d*e^2*x + b^2*c^2*e^2)*arctanh(d*x + c)^2 + 2*(a*b*d^2*e^2*x^2 + 2*a*b*c*d*e^2*x + a*b*c^2*e^2)*arctanh(d*x + c), x)","F",0
17,1,191,0,0.471750," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","\frac{4 \, a^{2} d^{2} e x^{2} + 8 \, {\left(a^{2} c + a b\right)} d e x + 4 \, {\left(a b c^{2} + b^{2} c - a b + b^{2}\right)} e \log\left(d x + c + 1\right) - 4 \, {\left(a b c^{2} + b^{2} c - a b - b^{2}\right)} e \log\left(d x + c - 1\right) + {\left(b^{2} d^{2} e x^{2} + 2 \, b^{2} c d e x + {\left(b^{2} c^{2} - b^{2}\right)} e\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2} + 4 \, {\left(a b d^{2} e x^{2} + {\left(2 \, a b c + b^{2}\right)} d e x\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{8 \, d}"," ",0,"1/8*(4*a^2*d^2*e*x^2 + 8*(a^2*c + a*b)*d*e*x + 4*(a*b*c^2 + b^2*c - a*b + b^2)*e*log(d*x + c + 1) - 4*(a*b*c^2 + b^2*c - a*b - b^2)*e*log(d*x + c - 1) + (b^2*d^2*e*x^2 + 2*b^2*c*d*e*x + (b^2*c^2 - b^2)*e)*log(-(d*x + c + 1)/(d*x + c - 1))^2 + 4*(a*b*d^2*e*x^2 + (2*a*b*c + b^2)*d*e*x)*log(-(d*x + c + 1)/(d*x + c - 1)))/d","B",0
18,0,0,0,0.510747," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}}{d e x + c e}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)/(d*e*x + c*e), x)","F",0
19,0,0,0,0.495935," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
20,1,270,0,0.486206," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^3,x, algorithm=""fricas"")","-\frac{8 \, a b d x + 8 \, a b c - {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - b^{2}\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2} + 4 \, a^{2} - 4 \, {\left({\left(a b - b^{2}\right)} d^{2} x^{2} + 2 \, {\left(a b - b^{2}\right)} c d x + {\left(a b - b^{2}\right)} c^{2}\right)} \log\left(d x + c + 1\right) - 8 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(d x + c\right) + 4 \, {\left({\left(a b + b^{2}\right)} d^{2} x^{2} + 2 \, {\left(a b + b^{2}\right)} c d x + {\left(a b + b^{2}\right)} c^{2}\right)} \log\left(d x + c - 1\right) + 4 \, {\left(b^{2} d x + b^{2} c + a b\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{8 \, {\left(d^{3} e^{3} x^{2} + 2 \, c d^{2} e^{3} x + c^{2} d e^{3}\right)}}"," ",0,"-1/8*(8*a*b*d*x + 8*a*b*c - (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - b^2)*log(-(d*x + c + 1)/(d*x + c - 1))^2 + 4*a^2 - 4*((a*b - b^2)*d^2*x^2 + 2*(a*b - b^2)*c*d*x + (a*b - b^2)*c^2)*log(d*x + c + 1) - 8*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(d*x + c) + 4*((a*b + b^2)*d^2*x^2 + 2*(a*b + b^2)*c*d*x + (a*b + b^2)*c^2)*log(d*x + c - 1) + 4*(b^2*d*x + b^2*c + a*b)*log(-(d*x + c + 1)/(d*x + c - 1)))/(d^3*e^3*x^2 + 2*c*d^2*e^3*x + c^2*d*e^3)","B",0
21,0,0,0,0.476688," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
22,1,547,0,0.523325," ","integrate((a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^5,x, algorithm=""fricas"")","-\frac{24 \, a b d^{3} x^{3} + 24 \, a b c^{3} + 4 \, {\left(18 \, a b c + b^{2}\right)} d^{2} x^{2} + 4 \, b^{2} c^{2} + 8 \, a b c + 8 \, {\left(9 \, a b c^{2} + b^{2} c + a b\right)} d x - 3 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4} - b^{2}\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)^{2} + 12 \, a^{2} - 4 \, {\left({\left(3 \, a b - 4 \, b^{2}\right)} d^{4} x^{4} + 4 \, {\left(3 \, a b - 4 \, b^{2}\right)} c d^{3} x^{3} + 6 \, {\left(3 \, a b - 4 \, b^{2}\right)} c^{2} d^{2} x^{2} + 4 \, {\left(3 \, a b - 4 \, b^{2}\right)} c^{3} d x + {\left(3 \, a b - 4 \, b^{2}\right)} c^{4}\right)} \log\left(d x + c + 1\right) - 32 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(d x + c\right) + 4 \, {\left({\left(3 \, a b + 4 \, b^{2}\right)} d^{4} x^{4} + 4 \, {\left(3 \, a b + 4 \, b^{2}\right)} c d^{3} x^{3} + 6 \, {\left(3 \, a b + 4 \, b^{2}\right)} c^{2} d^{2} x^{2} + 4 \, {\left(3 \, a b + 4 \, b^{2}\right)} c^{3} d x + {\left(3 \, a b + 4 \, b^{2}\right)} c^{4}\right)} \log\left(d x + c - 1\right) + 4 \, {\left(3 \, b^{2} d^{3} x^{3} + 9 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{3} + b^{2} c + {\left(9 \, b^{2} c^{2} + b^{2}\right)} d x + 3 \, a b\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{48 \, {\left(d^{5} e^{5} x^{4} + 4 \, c d^{4} e^{5} x^{3} + 6 \, c^{2} d^{3} e^{5} x^{2} + 4 \, c^{3} d^{2} e^{5} x + c^{4} d e^{5}\right)}}"," ",0,"-1/48*(24*a*b*d^3*x^3 + 24*a*b*c^3 + 4*(18*a*b*c + b^2)*d^2*x^2 + 4*b^2*c^2 + 8*a*b*c + 8*(9*a*b*c^2 + b^2*c + a*b)*d*x - 3*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4 - b^2)*log(-(d*x + c + 1)/(d*x + c - 1))^2 + 12*a^2 - 4*((3*a*b - 4*b^2)*d^4*x^4 + 4*(3*a*b - 4*b^2)*c*d^3*x^3 + 6*(3*a*b - 4*b^2)*c^2*d^2*x^2 + 4*(3*a*b - 4*b^2)*c^3*d*x + (3*a*b - 4*b^2)*c^4)*log(d*x + c + 1) - 32*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(d*x + c) + 4*((3*a*b + 4*b^2)*d^4*x^4 + 4*(3*a*b + 4*b^2)*c*d^3*x^3 + 6*(3*a*b + 4*b^2)*c^2*d^2*x^2 + 4*(3*a*b + 4*b^2)*c^3*d*x + (3*a*b + 4*b^2)*c^4)*log(d*x + c - 1) + 4*(3*b^2*d^3*x^3 + 9*b^2*c*d^2*x^2 + 3*b^2*c^3 + b^2*c + (9*b^2*c^2 + b^2)*d*x + 3*a*b)*log(-(d*x + c + 1)/(d*x + c - 1)))/(d^5*e^5*x^4 + 4*c*d^4*e^5*x^3 + 6*c^2*d^3*e^5*x^2 + 4*c^3*d^2*e^5*x + c^4*d*e^5)","B",0
23,0,0,0,0.651419," ","integrate((d*e*x+c*e)^2*(a+b*arctanh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} d^{2} e^{2} x^{2} + 2 \, a^{3} c d e^{2} x + a^{3} c^{2} e^{2} + {\left(b^{3} d^{2} e^{2} x^{2} + 2 \, b^{3} c d e^{2} x + b^{3} c^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d^{2} e^{2} x^{2} + 2 \, a b^{2} c d e^{2} x + a b^{2} c^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d^{2} e^{2} x^{2} + 2 \, a^{2} b c d e^{2} x + a^{2} b c^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^3*d^2*e^2*x^2 + 2*a^3*c*d*e^2*x + a^3*c^2*e^2 + (b^3*d^2*e^2*x^2 + 2*b^3*c*d*e^2*x + b^3*c^2*e^2)*arctanh(d*x + c)^3 + 3*(a*b^2*d^2*e^2*x^2 + 2*a*b^2*c*d*e^2*x + a*b^2*c^2*e^2)*arctanh(d*x + c)^2 + 3*(a^2*b*d^2*e^2*x^2 + 2*a^2*b*c*d*e^2*x + a^2*b*c^2*e^2)*arctanh(d*x + c), x)","F",0
24,0,0,0,0.463798," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} d e x + a^{3} c e + {\left(b^{3} d e x + b^{3} c e\right)} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d e x + a^{2} b c e\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^3*d*e*x + a^3*c*e + (b^3*d*e*x + b^3*c*e)*arctanh(d*x + c)^3 + 3*(a*b^2*d*e*x + a*b^2*c*e)*arctanh(d*x + c)^2 + 3*(a^2*b*d*e*x + a^2*b*c*e)*arctanh(d*x + c), x)","F",0
25,0,0,0,0.437619," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}}{d e x + c e}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)/(d*e*x + c*e), x)","F",0
26,0,0,0,0.501009," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
27,0,0,0,0.487611," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
28,0,0,0,0.523429," ","integrate((a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
29,0,0,0,0.455593," ","integrate(arctanh(1+x)/(2+2*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(x + 1\right)}{2 \, {\left(x + 1\right)}}, x\right)"," ",0,"integral(1/2*arctanh(x + 1)/(x + 1), x)","F",0
30,0,0,0,0.458609," ","integrate(arctanh(b*x+a)/(a*d/b+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(b x + a\right)}{b d x + a d}, x\right)"," ",0,"integral(b*arctanh(b*x + a)/(b*d*x + a*d), x)","F",0
31,1,386,0,0.506380," ","integrate((f*x+e)^3*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","\frac{6 \, a d^{4} f^{3} x^{4} + 2 \, {\left(12 \, a d^{4} e f^{2} + b d^{3} f^{3}\right)} x^{3} + 6 \, {\left(6 \, a d^{4} e^{2} f + 2 \, b d^{3} e f^{2} - b c d^{2} f^{3}\right)} x^{2} + 6 \, {\left(4 \, a d^{4} e^{3} + 6 \, b d^{3} e^{2} f - 8 \, b c d^{2} e f^{2} + {\left(3 \, b c^{2} + b\right)} d f^{3}\right)} x + 3 \, {\left(4 \, {\left(b c + b\right)} d^{3} e^{3} - 6 \, {\left(b c^{2} + 2 \, b c + b\right)} d^{2} e^{2} f + 4 \, {\left(b c^{3} + 3 \, b c^{2} + 3 \, b c + b\right)} d e f^{2} - {\left(b c^{4} + 4 \, b c^{3} + 6 \, b c^{2} + 4 \, b c + b\right)} f^{3}\right)} \log\left(d x + c + 1\right) - 3 \, {\left(4 \, {\left(b c - b\right)} d^{3} e^{3} - 6 \, {\left(b c^{2} - 2 \, b c + b\right)} d^{2} e^{2} f + 4 \, {\left(b c^{3} - 3 \, b c^{2} + 3 \, b c - b\right)} d e f^{2} - {\left(b c^{4} - 4 \, b c^{3} + 6 \, b c^{2} - 4 \, b c + b\right)} f^{3}\right)} \log\left(d x + c - 1\right) + 3 \, {\left(b d^{4} f^{3} x^{4} + 4 \, b d^{4} e f^{2} x^{3} + 6 \, b d^{4} e^{2} f x^{2} + 4 \, b d^{4} e^{3} x\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{24 \, d^{4}}"," ",0,"1/24*(6*a*d^4*f^3*x^4 + 2*(12*a*d^4*e*f^2 + b*d^3*f^3)*x^3 + 6*(6*a*d^4*e^2*f + 2*b*d^3*e*f^2 - b*c*d^2*f^3)*x^2 + 6*(4*a*d^4*e^3 + 6*b*d^3*e^2*f - 8*b*c*d^2*e*f^2 + (3*b*c^2 + b)*d*f^3)*x + 3*(4*(b*c + b)*d^3*e^3 - 6*(b*c^2 + 2*b*c + b)*d^2*e^2*f + 4*(b*c^3 + 3*b*c^2 + 3*b*c + b)*d*e*f^2 - (b*c^4 + 4*b*c^3 + 6*b*c^2 + 4*b*c + b)*f^3)*log(d*x + c + 1) - 3*(4*(b*c - b)*d^3*e^3 - 6*(b*c^2 - 2*b*c + b)*d^2*e^2*f + 4*(b*c^3 - 3*b*c^2 + 3*b*c - b)*d*e*f^2 - (b*c^4 - 4*b*c^3 + 6*b*c^2 - 4*b*c + b)*f^3)*log(d*x + c - 1) + 3*(b*d^4*f^3*x^4 + 4*b*d^4*e*f^2*x^3 + 6*b*d^4*e^2*f*x^2 + 4*b*d^4*e^3*x)*log(-(d*x + c + 1)/(d*x + c - 1)))/d^4","B",0
32,1,242,0,0.478612," ","integrate((f*x+e)^2*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{3} f^{2} x^{3} + {\left(6 \, a d^{3} e f + b d^{2} f^{2}\right)} x^{2} + 2 \, {\left(3 \, a d^{3} e^{2} + 3 \, b d^{2} e f - 2 \, b c d f^{2}\right)} x + {\left(3 \, {\left(b c + b\right)} d^{2} e^{2} - 3 \, {\left(b c^{2} + 2 \, b c + b\right)} d e f + {\left(b c^{3} + 3 \, b c^{2} + 3 \, b c + b\right)} f^{2}\right)} \log\left(d x + c + 1\right) - {\left(3 \, {\left(b c - b\right)} d^{2} e^{2} - 3 \, {\left(b c^{2} - 2 \, b c + b\right)} d e f + {\left(b c^{3} - 3 \, b c^{2} + 3 \, b c - b\right)} f^{2}\right)} \log\left(d x + c - 1\right) + {\left(b d^{3} f^{2} x^{3} + 3 \, b d^{3} e f x^{2} + 3 \, b d^{3} e^{2} x\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{6 \, d^{3}}"," ",0,"1/6*(2*a*d^3*f^2*x^3 + (6*a*d^3*e*f + b*d^2*f^2)*x^2 + 2*(3*a*d^3*e^2 + 3*b*d^2*e*f - 2*b*c*d*f^2)*x + (3*(b*c + b)*d^2*e^2 - 3*(b*c^2 + 2*b*c + b)*d*e*f + (b*c^3 + 3*b*c^2 + 3*b*c + b)*f^2)*log(d*x + c + 1) - (3*(b*c - b)*d^2*e^2 - 3*(b*c^2 - 2*b*c + b)*d*e*f + (b*c^3 - 3*b*c^2 + 3*b*c - b)*f^2)*log(d*x + c - 1) + (b*d^3*f^2*x^3 + 3*b*d^3*e*f*x^2 + 3*b*d^3*e^2*x)*log(-(d*x + c + 1)/(d*x + c - 1)))/d^3","B",0
33,1,134,0,0.520069," ","integrate((f*x+e)*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} f x^{2} + 2 \, {\left(2 \, a d^{2} e + b d f\right)} x + {\left(2 \, {\left(b c + b\right)} d e - {\left(b c^{2} + 2 \, b c + b\right)} f\right)} \log\left(d x + c + 1\right) - {\left(2 \, {\left(b c - b\right)} d e - {\left(b c^{2} - 2 \, b c + b\right)} f\right)} \log\left(d x + c - 1\right) + {\left(b d^{2} f x^{2} + 2 \, b d^{2} e x\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{4 \, d^{2}}"," ",0,"1/4*(2*a*d^2*f*x^2 + 2*(2*a*d^2*e + b*d*f)*x + (2*(b*c + b)*d*e - (b*c^2 + 2*b*c + b)*f)*log(d*x + c + 1) - (2*(b*c - b)*d*e - (b*c^2 - 2*b*c + b)*f)*log(d*x + c - 1) + (b*d^2*f*x^2 + 2*b*d^2*e*x)*log(-(d*x + c + 1)/(d*x + c - 1)))/d^2","A",0
34,1,61,0,0.456406," ","integrate(a+b*arctanh(d*x+c),x, algorithm=""fricas"")","\frac{b d x \log\left(-\frac{d x + c + 1}{d x + c - 1}\right) + 2 \, a d x + {\left(b c + b\right)} \log\left(d x + c + 1\right) - {\left(b c - b\right)} \log\left(d x + c - 1\right)}{2 \, d}"," ",0,"1/2*(b*d*x*log(-(d*x + c + 1)/(d*x + c - 1)) + 2*a*d*x + (b*c + b)*log(d*x + c + 1) - (b*c - b)*log(d*x + c - 1))/d","A",0
35,0,0,0,0.493775," ","integrate((a+b*arctanh(d*x+c))/(f*x+e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(d x + c\right) + a}{f x + e}, x\right)"," ",0,"integral((b*arctanh(d*x + c) + a)/(f*x + e), x)","F",0
36,1,263,0,0.612894," ","integrate((a+b*arctanh(d*x+c))/(f*x+e)^2,x, algorithm=""fricas"")","-\frac{2 \, a d^{2} e^{2} - 4 \, a c d e f + 2 \, {\left(a c^{2} - a\right)} f^{2} - {\left(b d^{2} e^{2} - {\left(b c - b\right)} d e f + {\left(b d^{2} e f - {\left(b c - b\right)} d f^{2}\right)} x\right)} \log\left(d x + c + 1\right) + {\left(b d^{2} e^{2} - {\left(b c + b\right)} d e f + {\left(b d^{2} e f - {\left(b c + b\right)} d f^{2}\right)} x\right)} \log\left(d x + c - 1\right) + 2 \, {\left(b d f^{2} x + b d e f\right)} \log\left(f x + e\right) + {\left(b d^{2} e^{2} - 2 \, b c d e f + {\left(b c^{2} - b\right)} f^{2}\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{2 \, {\left(d^{2} e^{3} f - 2 \, c d e^{2} f^{2} + {\left(c^{2} - 1\right)} e f^{3} + {\left(d^{2} e^{2} f^{2} - 2 \, c d e f^{3} + {\left(c^{2} - 1\right)} f^{4}\right)} x\right)}}"," ",0,"-1/2*(2*a*d^2*e^2 - 4*a*c*d*e*f + 2*(a*c^2 - a)*f^2 - (b*d^2*e^2 - (b*c - b)*d*e*f + (b*d^2*e*f - (b*c - b)*d*f^2)*x)*log(d*x + c + 1) + (b*d^2*e^2 - (b*c + b)*d*e*f + (b*d^2*e*f - (b*c + b)*d*f^2)*x)*log(d*x + c - 1) + 2*(b*d*f^2*x + b*d*e*f)*log(f*x + e) + (b*d^2*e^2 - 2*b*c*d*e*f + (b*c^2 - b)*f^2)*log(-(d*x + c + 1)/(d*x + c - 1)))/(d^2*e^3*f - 2*c*d*e^2*f^2 + (c^2 - 1)*e*f^3 + (d^2*e^2*f^2 - 2*c*d*e*f^3 + (c^2 - 1)*f^4)*x)","B",0
37,1,834,0,1.601799," ","integrate((a+b*arctanh(d*x+c))/(f*x+e)^3,x, algorithm=""fricas"")","-\frac{2 \, a d^{4} e^{4} - 2 \, {\left(4 \, a c + b\right)} d^{3} e^{3} f + 4 \, {\left(3 \, a c^{2} + b c - a\right)} d^{2} e^{2} f^{2} - 2 \, {\left(4 \, a c^{3} + b c^{2} - 4 \, a c - b\right)} d e f^{3} + 2 \, {\left(a c^{4} - 2 \, a c^{2} + a\right)} f^{4} - 2 \, {\left(b d^{3} e^{2} f^{2} - 2 \, b c d^{2} e f^{3} + {\left(b c^{2} - b\right)} d f^{4}\right)} x - {\left(b d^{4} e^{4} - 2 \, {\left(b c - b\right)} d^{3} e^{3} f + {\left(b c^{2} - 2 \, b c + b\right)} d^{2} e^{2} f^{2} + {\left(b d^{4} e^{2} f^{2} - 2 \, {\left(b c - b\right)} d^{3} e f^{3} + {\left(b c^{2} - 2 \, b c + b\right)} d^{2} f^{4}\right)} x^{2} + 2 \, {\left(b d^{4} e^{3} f - 2 \, {\left(b c - b\right)} d^{3} e^{2} f^{2} + {\left(b c^{2} - 2 \, b c + b\right)} d^{2} e f^{3}\right)} x\right)} \log\left(d x + c + 1\right) + {\left(b d^{4} e^{4} - 2 \, {\left(b c + b\right)} d^{3} e^{3} f + {\left(b c^{2} + 2 \, b c + b\right)} d^{2} e^{2} f^{2} + {\left(b d^{4} e^{2} f^{2} - 2 \, {\left(b c + b\right)} d^{3} e f^{3} + {\left(b c^{2} + 2 \, b c + b\right)} d^{2} f^{4}\right)} x^{2} + 2 \, {\left(b d^{4} e^{3} f - 2 \, {\left(b c + b\right)} d^{3} e^{2} f^{2} + {\left(b c^{2} + 2 \, b c + b\right)} d^{2} e f^{3}\right)} x\right)} \log\left(d x + c - 1\right) + 4 \, {\left(b d^{3} e^{3} f - b c d^{2} e^{2} f^{2} + {\left(b d^{3} e f^{3} - b c d^{2} f^{4}\right)} x^{2} + 2 \, {\left(b d^{3} e^{2} f^{2} - b c d^{2} e f^{3}\right)} x\right)} \log\left(f x + e\right) + {\left(b d^{4} e^{4} - 4 \, b c d^{3} e^{3} f + 2 \, {\left(3 \, b c^{2} - b\right)} d^{2} e^{2} f^{2} - 4 \, {\left(b c^{3} - b c\right)} d e f^{3} + {\left(b c^{4} - 2 \, b c^{2} + b\right)} f^{4}\right)} \log\left(-\frac{d x + c + 1}{d x + c - 1}\right)}{4 \, {\left(d^{4} e^{6} f - 4 \, c d^{3} e^{5} f^{2} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} e^{4} f^{3} - 4 \, {\left(c^{3} - c\right)} d e^{3} f^{4} + {\left(c^{4} - 2 \, c^{2} + 1\right)} e^{2} f^{5} + {\left(d^{4} e^{4} f^{3} - 4 \, c d^{3} e^{3} f^{4} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} e^{2} f^{5} - 4 \, {\left(c^{3} - c\right)} d e f^{6} + {\left(c^{4} - 2 \, c^{2} + 1\right)} f^{7}\right)} x^{2} + 2 \, {\left(d^{4} e^{5} f^{2} - 4 \, c d^{3} e^{4} f^{3} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} e^{3} f^{4} - 4 \, {\left(c^{3} - c\right)} d e^{2} f^{5} + {\left(c^{4} - 2 \, c^{2} + 1\right)} e f^{6}\right)} x\right)}}"," ",0,"-1/4*(2*a*d^4*e^4 - 2*(4*a*c + b)*d^3*e^3*f + 4*(3*a*c^2 + b*c - a)*d^2*e^2*f^2 - 2*(4*a*c^3 + b*c^2 - 4*a*c - b)*d*e*f^3 + 2*(a*c^4 - 2*a*c^2 + a)*f^4 - 2*(b*d^3*e^2*f^2 - 2*b*c*d^2*e*f^3 + (b*c^2 - b)*d*f^4)*x - (b*d^4*e^4 - 2*(b*c - b)*d^3*e^3*f + (b*c^2 - 2*b*c + b)*d^2*e^2*f^2 + (b*d^4*e^2*f^2 - 2*(b*c - b)*d^3*e*f^3 + (b*c^2 - 2*b*c + b)*d^2*f^4)*x^2 + 2*(b*d^4*e^3*f - 2*(b*c - b)*d^3*e^2*f^2 + (b*c^2 - 2*b*c + b)*d^2*e*f^3)*x)*log(d*x + c + 1) + (b*d^4*e^4 - 2*(b*c + b)*d^3*e^3*f + (b*c^2 + 2*b*c + b)*d^2*e^2*f^2 + (b*d^4*e^2*f^2 - 2*(b*c + b)*d^3*e*f^3 + (b*c^2 + 2*b*c + b)*d^2*f^4)*x^2 + 2*(b*d^4*e^3*f - 2*(b*c + b)*d^3*e^2*f^2 + (b*c^2 + 2*b*c + b)*d^2*e*f^3)*x)*log(d*x + c - 1) + 4*(b*d^3*e^3*f - b*c*d^2*e^2*f^2 + (b*d^3*e*f^3 - b*c*d^2*f^4)*x^2 + 2*(b*d^3*e^2*f^2 - b*c*d^2*e*f^3)*x)*log(f*x + e) + (b*d^4*e^4 - 4*b*c*d^3*e^3*f + 2*(3*b*c^2 - b)*d^2*e^2*f^2 - 4*(b*c^3 - b*c)*d*e*f^3 + (b*c^4 - 2*b*c^2 + b)*f^4)*log(-(d*x + c + 1)/(d*x + c - 1)))/(d^4*e^6*f - 4*c*d^3*e^5*f^2 + 2*(3*c^2 - 1)*d^2*e^4*f^3 - 4*(c^3 - c)*d*e^3*f^4 + (c^4 - 2*c^2 + 1)*e^2*f^5 + (d^4*e^4*f^3 - 4*c*d^3*e^3*f^4 + 2*(3*c^2 - 1)*d^2*e^2*f^5 - 4*(c^3 - c)*d*e*f^6 + (c^4 - 2*c^2 + 1)*f^7)*x^2 + 2*(d^4*e^5*f^2 - 4*c*d^3*e^4*f^3 + 2*(3*c^2 - 1)*d^2*e^3*f^4 - 4*(c^3 - c)*d*e^2*f^5 + (c^4 - 2*c^2 + 1)*e*f^6)*x)","B",0
38,0,0,0,0.593327," ","integrate((f*x+e)^3*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} f^{3} x^{3} + 3 \, a^{2} e f^{2} x^{2} + 3 \, a^{2} e^{2} f x + a^{2} e^{3} + {\left(b^{2} f^{3} x^{3} + 3 \, b^{2} e f^{2} x^{2} + 3 \, b^{2} e^{2} f x + b^{2} e^{3}\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, {\left(a b f^{3} x^{3} + 3 \, a b e f^{2} x^{2} + 3 \, a b e^{2} f x + a b e^{3}\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^2*f^3*x^3 + 3*a^2*e*f^2*x^2 + 3*a^2*e^2*f*x + a^2*e^3 + (b^2*f^3*x^3 + 3*b^2*e*f^2*x^2 + 3*b^2*e^2*f*x + b^2*e^3)*arctanh(d*x + c)^2 + 2*(a*b*f^3*x^3 + 3*a*b*e*f^2*x^2 + 3*a*b*e^2*f*x + a*b*e^3)*arctanh(d*x + c), x)","F",0
39,0,0,0,0.569401," ","integrate((f*x+e)^2*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} f^{2} x^{2} + 2 \, a^{2} e f x + a^{2} e^{2} + {\left(b^{2} f^{2} x^{2} + 2 \, b^{2} e f x + b^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, {\left(a b f^{2} x^{2} + 2 \, a b e f x + a b e^{2}\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^2*f^2*x^2 + 2*a^2*e*f*x + a^2*e^2 + (b^2*f^2*x^2 + 2*b^2*e*f*x + b^2*e^2)*arctanh(d*x + c)^2 + 2*(a*b*f^2*x^2 + 2*a*b*e*f*x + a*b*e^2)*arctanh(d*x + c), x)","F",0
40,0,0,0,0.515108," ","integrate((f*x+e)*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} f x + a^{2} e + {\left(b^{2} f x + b^{2} e\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, {\left(a b f x + a b e\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^2*f*x + a^2*e + (b^2*f*x + b^2*e)*arctanh(d*x + c)^2 + 2*(a*b*f*x + a*b*e)*arctanh(d*x + c), x)","F",0
41,0,0,0,0.420051," ","integrate((a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}, x\right)"," ",0,"integral(b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2, x)","F",0
42,0,0,0,0.588225," ","integrate((a+b*arctanh(d*x+c))^2/(f*x+e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}}{f x + e}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)/(f*x + e), x)","F",0
43,0,0,0,0.509271," ","integrate((a+b*arctanh(d*x+c))^2/(f*x+e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}}{f^{2} x^{2} + 2 \, e f x + e^{2}}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)/(f^2*x^2 + 2*e*f*x + e^2), x)","F",0
44,0,0,0,0.551274," ","integrate((a+b*arctanh(d*x+c))^2/(f*x+e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}}{f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x + e^{3}}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)/(f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x + e^3), x)","F",0
45,0,0,0,0.705332," ","integrate((f*x+e)^2*(a+b*arctanh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} f^{2} x^{2} + 2 \, a^{3} e f x + a^{3} e^{2} + {\left(b^{3} f^{2} x^{2} + 2 \, b^{3} e f x + b^{3} e^{2}\right)} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} f^{2} x^{2} + 2 \, a b^{2} e f x + a b^{2} e^{2}\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b f^{2} x^{2} + 2 \, a^{2} b e f x + a^{2} b e^{2}\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^3*f^2*x^2 + 2*a^3*e*f*x + a^3*e^2 + (b^3*f^2*x^2 + 2*b^3*e*f*x + b^3*e^2)*arctanh(d*x + c)^3 + 3*(a*b^2*f^2*x^2 + 2*a*b^2*e*f*x + a*b^2*e^2)*arctanh(d*x + c)^2 + 3*(a^2*b*f^2*x^2 + 2*a^2*b*e*f*x + a^2*b*e^2)*arctanh(d*x + c), x)","F",0
46,0,0,0,0.659821," ","integrate((f*x+e)*(a+b*arctanh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} f x + a^{3} e + {\left(b^{3} f x + b^{3} e\right)} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} f x + a b^{2} e\right)} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b f x + a^{2} b e\right)} \operatorname{artanh}\left(d x + c\right), x\right)"," ",0,"integral(a^3*f*x + a^3*e + (b^3*f*x + b^3*e)*arctanh(d*x + c)^3 + 3*(a*b^2*f*x + a*b^2*e)*arctanh(d*x + c)^2 + 3*(a^2*b*f*x + a^2*b*e)*arctanh(d*x + c), x)","F",0
47,0,0,0,0.520866," ","integrate((a+b*arctanh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}, x\right)"," ",0,"integral(b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3, x)","F",0
48,0,0,0,0.568034," ","integrate((a+b*arctanh(d*x+c))^3/(f*x+e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}}{f x + e}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)/(f*x + e), x)","F",0
49,0,0,0,0.904857," ","integrate((a+b*arctanh(d*x+c))^3/(f*x+e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}}{f^{2} x^{2} + 2 \, e f x + e^{2}}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)/(f^2*x^2 + 2*e*f*x + e^2), x)","F",0
50,0,0,0,0.696450," ","integrate((f*x+e)^m*(a+b*arctanh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \operatorname{artanh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(d x + c\right) + a^{3}\right)} {\left(f x + e\right)}^{m}, x\right)"," ",0,"integral((b^3*arctanh(d*x + c)^3 + 3*a*b^2*arctanh(d*x + c)^2 + 3*a^2*b*arctanh(d*x + c) + a^3)*(f*x + e)^m, x)","F",0
51,0,0,0,0.533265," ","integrate((f*x+e)^m*(a+b*arctanh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{artanh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{artanh}\left(d x + c\right) + a^{2}\right)} {\left(f x + e\right)}^{m}, x\right)"," ",0,"integral((b^2*arctanh(d*x + c)^2 + 2*a*b*arctanh(d*x + c) + a^2)*(f*x + e)^m, x)","F",0
52,0,0,0,0.695688," ","integrate((f*x+e)^m*(a+b*arctanh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{artanh}\left(d x + c\right) + a\right)} {\left(f x + e\right)}^{m}, x\right)"," ",0,"integral((b*arctanh(d*x + c) + a)*(f*x + e)^m, x)","F",0
53,0,0,0,0.547266," ","integrate(arctanh(b*x+a)/(d*x^3+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + a\right)}{d x^{3} + c}, x\right)"," ",0,"integral(arctanh(b*x + a)/(d*x^3 + c), x)","F",0
54,0,0,0,0.515239," ","integrate(arctanh(b*x+a)/(d*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + a\right)}{d x^{2} + c}, x\right)"," ",0,"integral(arctanh(b*x + a)/(d*x^2 + c), x)","F",0
55,0,0,0,0.483032," ","integrate(arctanh(b*x+a)/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(b x + a\right)}{d x + c}, x\right)"," ",0,"integral(arctanh(b*x + a)/(d*x + c), x)","F",0
56,0,0,0,0.527726," ","integrate(arctanh(b*x+a)/(c+d/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \operatorname{artanh}\left(b x + a\right)}{c x + d}, x\right)"," ",0,"integral(x*arctanh(b*x + a)/(c*x + d), x)","F",0
57,0,0,0,1.122242," ","integrate(arctanh(b*x+a)/(c+d/x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \operatorname{artanh}\left(b x + a\right)}{c x^{2} + d}, x\right)"," ",0,"integral(x^2*arctanh(b*x + a)/(c*x^2 + d), x)","F",0
58,0,0,0,0.563075," ","integrate(arctanh(b*x+a)/(c+d/x^3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \operatorname{artanh}\left(b x + a\right)}{c x^{3} + d}, x\right)"," ",0,"integral(x^3*arctanh(b*x + a)/(c*x^3 + d), x)","F",0
59,0,0,0,0.507440," ","integrate(arctanh(b*x+a)/(c+d*x^(1/2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d \sqrt{x} \operatorname{artanh}\left(b x + a\right) - c \operatorname{artanh}\left(b x + a\right)}{d^{2} x - c^{2}}, x\right)"," ",0,"integral((d*sqrt(x)*arctanh(b*x + a) - c*arctanh(b*x + a))/(d^2*x - c^2), x)","F",0
60,0,0,0,0.725869," ","integrate(arctanh(b*x+a)/(c+d/x^(1/2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{c x \operatorname{artanh}\left(b x + a\right) - d \sqrt{x} \operatorname{artanh}\left(b x + a\right)}{c^{2} x - d^{2}}, x\right)"," ",0,"integral((c*x*arctanh(b*x + a) - d*sqrt(x)*arctanh(b*x + a))/(c^2*x - d^2), x)","F",0
61,0,0,0,0.612973," ","integrate(arctanh(e*x+d)/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{artanh}\left(e x + d\right)}{c x^{2} + b x + a}, x\right)"," ",0,"integral(arctanh(e*x + d)/(c*x^2 + b*x + a), x)","F",0
62,0,0,0,0.786134," ","integrate((d*e*x+c*e)*(a+b*arctanh(d*x+c))/(1-(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a d e x + a c e + {\left(b d e x + b c e\right)} \operatorname{artanh}\left(d x + c\right)}{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}, x\right)"," ",0,"integral(-(a*d*e*x + a*c*e + (b*d*e*x + b*c*e)*arctanh(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2 - 1), x)","F",0
