1,1,322,0,0.492589," ","integrate((e*x+d)^4*(a+b*arctanh(c*x)),x, algorithm=""fricas"")","\frac{12 \, a c^{5} e^{4} x^{5} + 3 \, {\left(20 \, a c^{5} d e^{3} + b c^{4} e^{4}\right)} x^{4} + 20 \, {\left(6 \, a c^{5} d^{2} e^{2} + b c^{4} d e^{3}\right)} x^{3} + 6 \, {\left(20 \, a c^{5} d^{3} e + 10 \, b c^{4} d^{2} e^{2} + b c^{2} e^{4}\right)} x^{2} + 60 \, {\left(a c^{5} d^{4} + 2 \, b c^{4} d^{3} e + b c^{2} d e^{3}\right)} x + 6 \, {\left(5 \, b c^{4} d^{4} - 10 \, b c^{3} d^{3} e + 10 \, b c^{2} d^{2} e^{2} - 5 \, b c d e^{3} + b e^{4}\right)} \log\left(c x + 1\right) + 6 \, {\left(5 \, b c^{4} d^{4} + 10 \, b c^{3} d^{3} e + 10 \, b c^{2} d^{2} e^{2} + 5 \, b c d e^{3} + b e^{4}\right)} \log\left(c x - 1\right) + 6 \, {\left(b c^{5} e^{4} x^{5} + 5 \, b c^{5} d e^{3} x^{4} + 10 \, b c^{5} d^{2} e^{2} x^{3} + 10 \, b c^{5} d^{3} e x^{2} + 5 \, b c^{5} d^{4} x\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{60 \, c^{5}}"," ",0,"1/60*(12*a*c^5*e^4*x^5 + 3*(20*a*c^5*d*e^3 + b*c^4*e^4)*x^4 + 20*(6*a*c^5*d^2*e^2 + b*c^4*d*e^3)*x^3 + 6*(20*a*c^5*d^3*e + 10*b*c^4*d^2*e^2 + b*c^2*e^4)*x^2 + 60*(a*c^5*d^4 + 2*b*c^4*d^3*e + b*c^2*d*e^3)*x + 6*(5*b*c^4*d^4 - 10*b*c^3*d^3*e + 10*b*c^2*d^2*e^2 - 5*b*c*d*e^3 + b*e^4)*log(c*x + 1) + 6*(5*b*c^4*d^4 + 10*b*c^3*d^3*e + 10*b*c^2*d^2*e^2 + 5*b*c*d*e^3 + b*e^4)*log(c*x - 1) + 6*(b*c^5*e^4*x^5 + 5*b*c^5*d*e^3*x^4 + 10*b*c^5*d^2*e^2*x^3 + 10*b*c^5*d^3*e*x^2 + 5*b*c^5*d^4*x)*log(-(c*x + 1)/(c*x - 1)))/c^5","B",0
2,1,244,0,0.800053," ","integrate((e*x+d)^3*(a+b*arctanh(c*x)),x, algorithm=""fricas"")","\frac{6 \, a c^{4} e^{3} x^{4} + 2 \, {\left(12 \, a c^{4} d e^{2} + b c^{3} e^{3}\right)} x^{3} + 12 \, {\left(3 \, a c^{4} d^{2} e + b c^{3} d e^{2}\right)} x^{2} + 6 \, {\left(4 \, a c^{4} d^{3} + 6 \, b c^{3} d^{2} e + b c e^{3}\right)} x + 3 \, {\left(4 \, b c^{3} d^{3} - 6 \, b c^{2} d^{2} e + 4 \, b c d e^{2} - b e^{3}\right)} \log\left(c x + 1\right) + 3 \, {\left(4 \, b c^{3} d^{3} + 6 \, b c^{2} d^{2} e + 4 \, b c d e^{2} + b e^{3}\right)} \log\left(c x - 1\right) + 3 \, {\left(b c^{4} e^{3} x^{4} + 4 \, b c^{4} d e^{2} x^{3} + 6 \, b c^{4} d^{2} e x^{2} + 4 \, b c^{4} d^{3} x\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{24 \, c^{4}}"," ",0,"1/24*(6*a*c^4*e^3*x^4 + 2*(12*a*c^4*d*e^2 + b*c^3*e^3)*x^3 + 12*(3*a*c^4*d^2*e + b*c^3*d*e^2)*x^2 + 6*(4*a*c^4*d^3 + 6*b*c^3*d^2*e + b*c*e^3)*x + 3*(4*b*c^3*d^3 - 6*b*c^2*d^2*e + 4*b*c*d*e^2 - b*e^3)*log(c*x + 1) + 3*(4*b*c^3*d^3 + 6*b*c^2*d^2*e + 4*b*c*d*e^2 + b*e^3)*log(c*x - 1) + 3*(b*c^4*e^3*x^4 + 4*b*c^4*d*e^2*x^3 + 6*b*c^4*d^2*e*x^2 + 4*b*c^4*d^3*x)*log(-(c*x + 1)/(c*x - 1)))/c^4","B",0
3,1,163,0,0.658069," ","integrate((e*x+d)^2*(a+b*arctanh(c*x)),x, algorithm=""fricas"")","\frac{2 \, a c^{3} e^{2} x^{3} + {\left(6 \, a c^{3} d e + b c^{2} e^{2}\right)} x^{2} + 6 \, {\left(a c^{3} d^{2} + b c^{2} d e\right)} x + {\left(3 \, b c^{2} d^{2} - 3 \, b c d e + b e^{2}\right)} \log\left(c x + 1\right) + {\left(3 \, b c^{2} d^{2} + 3 \, b c d e + b e^{2}\right)} \log\left(c x - 1\right) + {\left(b c^{3} e^{2} x^{3} + 3 \, b c^{3} d e x^{2} + 3 \, b c^{3} d^{2} x\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{6 \, c^{3}}"," ",0,"1/6*(2*a*c^3*e^2*x^3 + (6*a*c^3*d*e + b*c^2*e^2)*x^2 + 6*(a*c^3*d^2 + b*c^2*d*e)*x + (3*b*c^2*d^2 - 3*b*c*d*e + b*e^2)*log(c*x + 1) + (3*b*c^2*d^2 + 3*b*c*d*e + b*e^2)*log(c*x - 1) + (b*c^3*e^2*x^3 + 3*b*c^3*d*e*x^2 + 3*b*c^3*d^2*x)*log(-(c*x + 1)/(c*x - 1)))/c^3","A",0
4,1,98,0,0.603742," ","integrate((e*x+d)*(a+b*arctanh(c*x)),x, algorithm=""fricas"")","\frac{2 \, a c^{2} e x^{2} + 2 \, {\left(2 \, a c^{2} d + b c e\right)} x + {\left(2 \, b c d - b e\right)} \log\left(c x + 1\right) + {\left(2 \, b c d + b e\right)} \log\left(c x - 1\right) + {\left(b c^{2} e x^{2} + 2 \, b c^{2} d x\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{4 \, c^{2}}"," ",0,"1/4*(2*a*c^2*e*x^2 + 2*(2*a*c^2*d + b*c*e)*x + (2*b*c*d - b*e)*log(c*x + 1) + (2*b*c*d + b*e)*log(c*x - 1) + (b*c^2*e*x^2 + 2*b*c^2*d*x)*log(-(c*x + 1)/(c*x - 1)))/c^2","A",0
5,0,0,0,0.767866," ","integrate((a+b*arctanh(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c x\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arctanh(c*x) + a)/(e*x + d), x)","F",0
6,1,182,0,0.944232," ","integrate((a+b*arctanh(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","-\frac{2 \, a c^{2} d^{2} - 2 \, a e^{2} - {\left(b c^{2} d^{2} + b c d e + {\left(b c^{2} d e + b c e^{2}\right)} x\right)} \log\left(c x + 1\right) + {\left(b c^{2} d^{2} - b c d e + {\left(b c^{2} d e - b c e^{2}\right)} x\right)} \log\left(c x - 1\right) + 2 \, {\left(b c e^{2} x + b c d e\right)} \log\left(e x + d\right) + {\left(b c^{2} d^{2} - b e^{2}\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{2 \, {\left(c^{2} d^{3} e - d e^{3} + {\left(c^{2} d^{2} e^{2} - e^{4}\right)} x\right)}}"," ",0,"-1/2*(2*a*c^2*d^2 - 2*a*e^2 - (b*c^2*d^2 + b*c*d*e + (b*c^2*d*e + b*c*e^2)*x)*log(c*x + 1) + (b*c^2*d^2 - b*c*d*e + (b*c^2*d*e - b*c*e^2)*x)*log(c*x - 1) + 2*(b*c*e^2*x + b*c*d*e)*log(e*x + d) + (b*c^2*d^2 - b*e^2)*log(-(c*x + 1)/(c*x - 1)))/(c^2*d^3*e - d*e^3 + (c^2*d^2*e^2 - e^4)*x)","B",0
7,1,454,0,0.854322," ","integrate((a+b*arctanh(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","-\frac{2 \, a c^{4} d^{4} - 2 \, b c^{3} d^{3} e - 4 \, a c^{2} d^{2} e^{2} + 2 \, b c d e^{3} + 2 \, a e^{4} - 2 \, {\left(b c^{3} d^{2} e^{2} - b c e^{4}\right)} x - {\left(b c^{4} d^{4} + 2 \, b c^{3} d^{3} e + b c^{2} d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{3} d e^{3} + b c^{2} e^{4}\right)} x^{2} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{3} d^{2} e^{2} + b c^{2} d e^{3}\right)} x\right)} \log\left(c x + 1\right) + {\left(b c^{4} d^{4} - 2 \, b c^{3} d^{3} e + b c^{2} d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} - 2 \, b c^{3} d e^{3} + b c^{2} e^{4}\right)} x^{2} + 2 \, {\left(b c^{4} d^{3} e - 2 \, b c^{3} d^{2} e^{2} + b c^{2} d e^{3}\right)} x\right)} \log\left(c x - 1\right) + 4 \, {\left(b c^{3} d e^{3} x^{2} + 2 \, b c^{3} d^{2} e^{2} x + b c^{3} d^{3} e\right)} \log\left(e x + d\right) + {\left(b c^{4} d^{4} - 2 \, b c^{2} d^{2} e^{2} + b e^{4}\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{4 \, {\left(c^{4} d^{6} e - 2 \, c^{2} d^{4} e^{3} + d^{2} e^{5} + {\left(c^{4} d^{4} e^{3} - 2 \, c^{2} d^{2} e^{5} + e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e^{2} - 2 \, c^{2} d^{3} e^{4} + d e^{6}\right)} x\right)}}"," ",0,"-1/4*(2*a*c^4*d^4 - 2*b*c^3*d^3*e - 4*a*c^2*d^2*e^2 + 2*b*c*d*e^3 + 2*a*e^4 - 2*(b*c^3*d^2*e^2 - b*c*e^4)*x - (b*c^4*d^4 + 2*b*c^3*d^3*e + b*c^2*d^2*e^2 + (b*c^4*d^2*e^2 + 2*b*c^3*d*e^3 + b*c^2*e^4)*x^2 + 2*(b*c^4*d^3*e + 2*b*c^3*d^2*e^2 + b*c^2*d*e^3)*x)*log(c*x + 1) + (b*c^4*d^4 - 2*b*c^3*d^3*e + b*c^2*d^2*e^2 + (b*c^4*d^2*e^2 - 2*b*c^3*d*e^3 + b*c^2*e^4)*x^2 + 2*(b*c^4*d^3*e - 2*b*c^3*d^2*e^2 + b*c^2*d*e^3)*x)*log(c*x - 1) + 4*(b*c^3*d*e^3*x^2 + 2*b*c^3*d^2*e^2*x + b*c^3*d^3*e)*log(e*x + d) + (b*c^4*d^4 - 2*b*c^2*d^2*e^2 + b*e^4)*log(-(c*x + 1)/(c*x - 1)))/(c^4*d^6*e - 2*c^2*d^4*e^3 + d^2*e^5 + (c^4*d^4*e^3 - 2*c^2*d^2*e^5 + e^7)*x^2 + 2*(c^4*d^5*e^2 - 2*c^2*d^3*e^4 + d*e^6)*x)","B",0
8,1,859,0,1.704552," ","integrate((a+b*arctanh(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","-\frac{2 \, a c^{6} d^{6} - 5 \, b c^{5} d^{5} e - 6 \, a c^{4} d^{4} e^{2} + 6 \, b c^{3} d^{3} e^{3} + 6 \, a c^{2} d^{2} e^{4} - b c d e^{5} - 2 \, a e^{6} - 4 \, {\left(b c^{5} d^{3} e^{3} - b c^{3} d e^{5}\right)} x^{2} - {\left(9 \, b c^{5} d^{4} e^{2} - 10 \, b c^{3} d^{2} e^{4} + b c e^{6}\right)} x - {\left(b c^{6} d^{6} + 3 \, b c^{5} d^{5} e + 3 \, b c^{4} d^{4} e^{2} + b c^{3} d^{3} e^{3} + {\left(b c^{6} d^{3} e^{3} + 3 \, b c^{5} d^{2} e^{4} + 3 \, b c^{4} d e^{5} + b c^{3} e^{6}\right)} x^{3} + 3 \, {\left(b c^{6} d^{4} e^{2} + 3 \, b c^{5} d^{3} e^{3} + 3 \, b c^{4} d^{2} e^{4} + b c^{3} d e^{5}\right)} x^{2} + 3 \, {\left(b c^{6} d^{5} e + 3 \, b c^{5} d^{4} e^{2} + 3 \, b c^{4} d^{3} e^{3} + b c^{3} d^{2} e^{4}\right)} x\right)} \log\left(c x + 1\right) + {\left(b c^{6} d^{6} - 3 \, b c^{5} d^{5} e + 3 \, b c^{4} d^{4} e^{2} - b c^{3} d^{3} e^{3} + {\left(b c^{6} d^{3} e^{3} - 3 \, b c^{5} d^{2} e^{4} + 3 \, b c^{4} d e^{5} - b c^{3} e^{6}\right)} x^{3} + 3 \, {\left(b c^{6} d^{4} e^{2} - 3 \, b c^{5} d^{3} e^{3} + 3 \, b c^{4} d^{2} e^{4} - b c^{3} d e^{5}\right)} x^{2} + 3 \, {\left(b c^{6} d^{5} e - 3 \, b c^{5} d^{4} e^{2} + 3 \, b c^{4} d^{3} e^{3} - b c^{3} d^{2} e^{4}\right)} x\right)} \log\left(c x - 1\right) + 2 \, {\left(3 \, b c^{5} d^{5} e + b c^{3} d^{3} e^{3} + {\left(3 \, b c^{5} d^{2} e^{4} + b c^{3} e^{6}\right)} x^{3} + 3 \, {\left(3 \, b c^{5} d^{3} e^{3} + b c^{3} d e^{5}\right)} x^{2} + 3 \, {\left(3 \, b c^{5} d^{4} e^{2} + b c^{3} d^{2} e^{4}\right)} x\right)} \log\left(e x + d\right) + {\left(b c^{6} d^{6} - 3 \, b c^{4} d^{4} e^{2} + 3 \, b c^{2} d^{2} e^{4} - b e^{6}\right)} \log\left(-\frac{c x + 1}{c x - 1}\right)}{6 \, {\left(c^{6} d^{9} e - 3 \, c^{4} d^{7} e^{3} + 3 \, c^{2} d^{5} e^{5} - d^{3} e^{7} + {\left(c^{6} d^{6} e^{4} - 3 \, c^{4} d^{4} e^{6} + 3 \, c^{2} d^{2} e^{8} - e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{3} - 3 \, c^{4} d^{5} e^{5} + 3 \, c^{2} d^{3} e^{7} - d e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e^{2} - 3 \, c^{4} d^{6} e^{4} + 3 \, c^{2} d^{4} e^{6} - d^{2} e^{8}\right)} x\right)}}"," ",0,"-1/6*(2*a*c^6*d^6 - 5*b*c^5*d^5*e - 6*a*c^4*d^4*e^2 + 6*b*c^3*d^3*e^3 + 6*a*c^2*d^2*e^4 - b*c*d*e^5 - 2*a*e^6 - 4*(b*c^5*d^3*e^3 - b*c^3*d*e^5)*x^2 - (9*b*c^5*d^4*e^2 - 10*b*c^3*d^2*e^4 + b*c*e^6)*x - (b*c^6*d^6 + 3*b*c^5*d^5*e + 3*b*c^4*d^4*e^2 + b*c^3*d^3*e^3 + (b*c^6*d^3*e^3 + 3*b*c^5*d^2*e^4 + 3*b*c^4*d*e^5 + b*c^3*e^6)*x^3 + 3*(b*c^6*d^4*e^2 + 3*b*c^5*d^3*e^3 + 3*b*c^4*d^2*e^4 + b*c^3*d*e^5)*x^2 + 3*(b*c^6*d^5*e + 3*b*c^5*d^4*e^2 + 3*b*c^4*d^3*e^3 + b*c^3*d^2*e^4)*x)*log(c*x + 1) + (b*c^6*d^6 - 3*b*c^5*d^5*e + 3*b*c^4*d^4*e^2 - b*c^3*d^3*e^3 + (b*c^6*d^3*e^3 - 3*b*c^5*d^2*e^4 + 3*b*c^4*d*e^5 - b*c^3*e^6)*x^3 + 3*(b*c^6*d^4*e^2 - 3*b*c^5*d^3*e^3 + 3*b*c^4*d^2*e^4 - b*c^3*d*e^5)*x^2 + 3*(b*c^6*d^5*e - 3*b*c^5*d^4*e^2 + 3*b*c^4*d^3*e^3 - b*c^3*d^2*e^4)*x)*log(c*x - 1) + 2*(3*b*c^5*d^5*e + b*c^3*d^3*e^3 + (3*b*c^5*d^2*e^4 + b*c^3*e^6)*x^3 + 3*(3*b*c^5*d^3*e^3 + b*c^3*d*e^5)*x^2 + 3*(3*b*c^5*d^4*e^2 + b*c^3*d^2*e^4)*x)*log(e*x + d) + (b*c^6*d^6 - 3*b*c^4*d^4*e^2 + 3*b*c^2*d^2*e^4 - b*e^6)*log(-(c*x + 1)/(c*x - 1)))/(c^6*d^9*e - 3*c^4*d^7*e^3 + 3*c^2*d^5*e^5 - d^3*e^7 + (c^6*d^6*e^4 - 3*c^4*d^4*e^6 + 3*c^2*d^2*e^8 - e^10)*x^3 + 3*(c^6*d^7*e^3 - 3*c^4*d^5*e^5 + 3*c^2*d^3*e^7 - d*e^9)*x^2 + 3*(c^6*d^8*e^2 - 3*c^4*d^6*e^4 + 3*c^2*d^4*e^6 - d^2*e^8)*x)","B",0
9,0,0,0,1.110502," ","integrate((e*x+d)^3*(a+b*arctanh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} e^{3} x^{3} + 3 \, a^{2} d e^{2} x^{2} + 3 \, a^{2} d^{2} e x + a^{2} d^{3} + {\left(b^{2} e^{3} x^{3} + 3 \, b^{2} d e^{2} x^{2} + 3 \, b^{2} d^{2} e x + b^{2} d^{3}\right)} \operatorname{artanh}\left(c x\right)^{2} + 2 \, {\left(a b e^{3} x^{3} + 3 \, a b d e^{2} x^{2} + 3 \, a b d^{2} e x + a b d^{3}\right)} \operatorname{artanh}\left(c x\right), x\right)"," ",0,"integral(a^2*e^3*x^3 + 3*a^2*d*e^2*x^2 + 3*a^2*d^2*e*x + a^2*d^3 + (b^2*e^3*x^3 + 3*b^2*d*e^2*x^2 + 3*b^2*d^2*e*x + b^2*d^3)*arctanh(c*x)^2 + 2*(a*b*e^3*x^3 + 3*a*b*d*e^2*x^2 + 3*a*b*d^2*e*x + a*b*d^3)*arctanh(c*x), x)","F",0
10,0,0,0,1.735932," ","integrate((e*x+d)^2*(a+b*arctanh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} e^{2} x^{2} + 2 \, a^{2} d e x + a^{2} d^{2} + {\left(b^{2} e^{2} x^{2} + 2 \, b^{2} d e x + b^{2} d^{2}\right)} \operatorname{artanh}\left(c x\right)^{2} + 2 \, {\left(a b e^{2} x^{2} + 2 \, a b d e x + a b d^{2}\right)} \operatorname{artanh}\left(c x\right), x\right)"," ",0,"integral(a^2*e^2*x^2 + 2*a^2*d*e*x + a^2*d^2 + (b^2*e^2*x^2 + 2*b^2*d*e*x + b^2*d^2)*arctanh(c*x)^2 + 2*(a*b*e^2*x^2 + 2*a*b*d*e*x + a*b*d^2)*arctanh(c*x), x)","F",0
11,0,0,0,0.581421," ","integrate((e*x+d)*(a+b*arctanh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} e x + a^{2} d + {\left(b^{2} e x + b^{2} d\right)} \operatorname{artanh}\left(c x\right)^{2} + 2 \, {\left(a b e x + a b d\right)} \operatorname{artanh}\left(c x\right), x\right)"," ",0,"integral(a^2*e*x + a^2*d + (b^2*e*x + b^2*d)*arctanh(c*x)^2 + 2*(a*b*e*x + a*b*d)*arctanh(c*x), x)","F",0
12,0,0,0,0.551892," ","integrate((a+b*arctanh(c*x))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(c x\right)^{2} + 2 \, a b \operatorname{artanh}\left(c x\right) + a^{2}}{e x + d}, x\right)"," ",0,"integral((b^2*arctanh(c*x)^2 + 2*a*b*arctanh(c*x) + a^2)/(e*x + d), x)","F",0
13,0,0,0,0.970485," ","integrate((a+b*arctanh(c*x))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(c x\right)^{2} + 2 \, a b \operatorname{artanh}\left(c x\right) + a^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*arctanh(c*x)^2 + 2*a*b*arctanh(c*x) + a^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
14,0,0,0,0.607692," ","integrate((a+b*arctanh(c*x))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(c x\right)^{2} + 2 \, a b \operatorname{artanh}\left(c x\right) + a^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*arctanh(c*x)^2 + 2*a*b*arctanh(c*x) + a^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
15,0,0,0,1.217453," ","integrate((e*x+d)^3*(a+b*arctanh(c*x))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} e^{3} x^{3} + 3 \, a^{3} d e^{2} x^{2} + 3 \, a^{3} d^{2} e x + a^{3} d^{3} + {\left(b^{3} e^{3} x^{3} + 3 \, b^{3} d e^{2} x^{2} + 3 \, b^{3} d^{2} e x + b^{3} d^{3}\right)} \operatorname{artanh}\left(c x\right)^{3} + 3 \, {\left(a b^{2} e^{3} x^{3} + 3 \, a b^{2} d e^{2} x^{2} + 3 \, a b^{2} d^{2} e x + a b^{2} d^{3}\right)} \operatorname{artanh}\left(c x\right)^{2} + 3 \, {\left(a^{2} b e^{3} x^{3} + 3 \, a^{2} b d e^{2} x^{2} + 3 \, a^{2} b d^{2} e x + a^{2} b d^{3}\right)} \operatorname{artanh}\left(c x\right), x\right)"," ",0,"integral(a^3*e^3*x^3 + 3*a^3*d*e^2*x^2 + 3*a^3*d^2*e*x + a^3*d^3 + (b^3*e^3*x^3 + 3*b^3*d*e^2*x^2 + 3*b^3*d^2*e*x + b^3*d^3)*arctanh(c*x)^3 + 3*(a*b^2*e^3*x^3 + 3*a*b^2*d*e^2*x^2 + 3*a*b^2*d^2*e*x + a*b^2*d^3)*arctanh(c*x)^2 + 3*(a^2*b*e^3*x^3 + 3*a^2*b*d*e^2*x^2 + 3*a^2*b*d^2*e*x + a^2*b*d^3)*arctanh(c*x), x)","F",0
16,0,0,0,0.814967," ","integrate((e*x+d)^2*(a+b*arctanh(c*x))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} e^{2} x^{2} + 2 \, a^{3} d e x + a^{3} d^{2} + {\left(b^{3} e^{2} x^{2} + 2 \, b^{3} d e x + b^{3} d^{2}\right)} \operatorname{artanh}\left(c x\right)^{3} + 3 \, {\left(a b^{2} e^{2} x^{2} + 2 \, a b^{2} d e x + a b^{2} d^{2}\right)} \operatorname{artanh}\left(c x\right)^{2} + 3 \, {\left(a^{2} b e^{2} x^{2} + 2 \, a^{2} b d e x + a^{2} b d^{2}\right)} \operatorname{artanh}\left(c x\right), x\right)"," ",0,"integral(a^3*e^2*x^2 + 2*a^3*d*e*x + a^3*d^2 + (b^3*e^2*x^2 + 2*b^3*d*e*x + b^3*d^2)*arctanh(c*x)^3 + 3*(a*b^2*e^2*x^2 + 2*a*b^2*d*e*x + a*b^2*d^2)*arctanh(c*x)^2 + 3*(a^2*b*e^2*x^2 + 2*a^2*b*d*e*x + a^2*b*d^2)*arctanh(c*x), x)","F",0
17,0,0,0,0.740282," ","integrate((e*x+d)*(a+b*arctanh(c*x))^3,x, algorithm=""fricas"")","{\rm integral}\left(a^{3} e x + a^{3} d + {\left(b^{3} e x + b^{3} d\right)} \operatorname{artanh}\left(c x\right)^{3} + 3 \, {\left(a b^{2} e x + a b^{2} d\right)} \operatorname{artanh}\left(c x\right)^{2} + 3 \, {\left(a^{2} b e x + a^{2} b d\right)} \operatorname{artanh}\left(c x\right), x\right)"," ",0,"integral(a^3*e*x + a^3*d + (b^3*e*x + b^3*d)*arctanh(c*x)^3 + 3*(a*b^2*e*x + a*b^2*d)*arctanh(c*x)^2 + 3*(a^2*b*e*x + a^2*b*d)*arctanh(c*x), x)","F",0
18,0,0,0,0.486242," ","integrate((a+b*arctanh(c*x))^3/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(c x\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(c x\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(c x\right) + a^{3}}{e x + d}, x\right)"," ",0,"integral((b^3*arctanh(c*x)^3 + 3*a*b^2*arctanh(c*x)^2 + 3*a^2*b*arctanh(c*x) + a^3)/(e*x + d), x)","F",0
19,0,0,0,0.600571," ","integrate((a+b*arctanh(c*x))^3/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(c x\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(c x\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(c x\right) + a^{3}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^3*arctanh(c*x)^3 + 3*a*b^2*arctanh(c*x)^2 + 3*a^2*b*arctanh(c*x) + a^3)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
20,0,0,0,0.637894," ","integrate((a+b*arctanh(c*x))^3/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{artanh}\left(c x\right)^{3} + 3 \, a b^{2} \operatorname{artanh}\left(c x\right)^{2} + 3 \, a^{2} b \operatorname{artanh}\left(c x\right) + a^{3}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^3*arctanh(c*x)^3 + 3*a*b^2*arctanh(c*x)^2 + 3*a^2*b*arctanh(c*x) + a^3)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
21,0,0,0,0.941136," ","integrate((a+b*arctanh(c*x))/(2*c*x+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c x\right) + a}{2 \, c x + 1}, x\right)"," ",0,"integral((b*arctanh(c*x) + a)/(2*c*x + 1), x)","F",0
22,0,0,0,0.698184," ","integrate(arctanh(x)/(1-x*2^(1/2)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(\sqrt{2} x + 1\right)} \operatorname{artanh}\left(x\right)}{2 \, x^{2} - 1}, x\right)"," ",0,"integral(-(sqrt(2)*x + 1)*arctanh(x)/(2*x^2 - 1), x)","F",0
23,1,519,0,0.947336," ","integrate((e*x+d)^3*(a+b*arctanh(c*x^2)),x, algorithm=""fricas"")","\left[\frac{2 \, a c^{2} e^{3} x^{4} + 8 \, a c^{2} d e^{2} x^{3} + 2 \, {\left(6 \, a c^{2} d^{2} e + b c e^{3}\right)} x^{2} + 8 \, {\left(b c d^{3} - b d e^{2}\right)} \sqrt{c} \arctan\left(\sqrt{c} x\right) + 4 \, {\left(b c d^{3} + b d e^{2}\right)} \sqrt{c} \log\left(\frac{c x^{2} - 2 \, \sqrt{c} x + 1}{c x^{2} - 1}\right) + 8 \, {\left(a c^{2} d^{3} + 2 \, b c d e^{2}\right)} x + {\left(6 \, b c d^{2} e - b e^{3}\right)} \log\left(c x^{2} + 1\right) + {\left(6 \, b c d^{2} e + b e^{3}\right)} \log\left(c x^{2} - 1\right) + {\left(b c^{2} e^{3} x^{4} + 4 \, b c^{2} d e^{2} x^{3} + 6 \, b c^{2} d^{2} e x^{2} + 4 \, b c^{2} d^{3} x\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{8 \, c^{2}}, \frac{2 \, a c^{2} e^{3} x^{4} + 8 \, a c^{2} d e^{2} x^{3} + 2 \, {\left(6 \, a c^{2} d^{2} e + b c e^{3}\right)} x^{2} + 8 \, {\left(b c d^{3} + b d e^{2}\right)} \sqrt{-c} \arctan\left(\sqrt{-c} x\right) + 4 \, {\left(b c d^{3} - b d e^{2}\right)} \sqrt{-c} \log\left(\frac{c x^{2} + 2 \, \sqrt{-c} x - 1}{c x^{2} + 1}\right) + 8 \, {\left(a c^{2} d^{3} + 2 \, b c d e^{2}\right)} x + {\left(6 \, b c d^{2} e - b e^{3}\right)} \log\left(c x^{2} + 1\right) + {\left(6 \, b c d^{2} e + b e^{3}\right)} \log\left(c x^{2} - 1\right) + {\left(b c^{2} e^{3} x^{4} + 4 \, b c^{2} d e^{2} x^{3} + 6 \, b c^{2} d^{2} e x^{2} + 4 \, b c^{2} d^{3} x\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{8 \, c^{2}}\right]"," ",0,"[1/8*(2*a*c^2*e^3*x^4 + 8*a*c^2*d*e^2*x^3 + 2*(6*a*c^2*d^2*e + b*c*e^3)*x^2 + 8*(b*c*d^3 - b*d*e^2)*sqrt(c)*arctan(sqrt(c)*x) + 4*(b*c*d^3 + b*d*e^2)*sqrt(c)*log((c*x^2 - 2*sqrt(c)*x + 1)/(c*x^2 - 1)) + 8*(a*c^2*d^3 + 2*b*c*d*e^2)*x + (6*b*c*d^2*e - b*e^3)*log(c*x^2 + 1) + (6*b*c*d^2*e + b*e^3)*log(c*x^2 - 1) + (b*c^2*e^3*x^4 + 4*b*c^2*d*e^2*x^3 + 6*b*c^2*d^2*e*x^2 + 4*b*c^2*d^3*x)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/c^2, 1/8*(2*a*c^2*e^3*x^4 + 8*a*c^2*d*e^2*x^3 + 2*(6*a*c^2*d^2*e + b*c*e^3)*x^2 + 8*(b*c*d^3 + b*d*e^2)*sqrt(-c)*arctan(sqrt(-c)*x) + 4*(b*c*d^3 - b*d*e^2)*sqrt(-c)*log((c*x^2 + 2*sqrt(-c)*x - 1)/(c*x^2 + 1)) + 8*(a*c^2*d^3 + 2*b*c*d*e^2)*x + (6*b*c*d^2*e - b*e^3)*log(c*x^2 + 1) + (6*b*c*d^2*e + b*e^3)*log(c*x^2 - 1) + (b*c^2*e^3*x^4 + 4*b*c^2*d*e^2*x^3 + 6*b*c^2*d^2*e*x^2 + 4*b*c^2*d^3*x)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/c^2]","A",0
24,1,401,0,0.684162," ","integrate((e*x+d)^2*(a+b*arctanh(c*x^2)),x, algorithm=""fricas"")","\left[\frac{2 \, a c^{2} e^{2} x^{3} + 6 \, a c^{2} d e x^{2} + 3 \, b c d e \log\left(c x^{2} + 1\right) + 3 \, b c d e \log\left(c x^{2} - 1\right) + 2 \, {\left(3 \, b c d^{2} - b e^{2}\right)} \sqrt{c} \arctan\left(\sqrt{c} x\right) + {\left(3 \, b c d^{2} + b e^{2}\right)} \sqrt{c} \log\left(\frac{c x^{2} - 2 \, \sqrt{c} x + 1}{c x^{2} - 1}\right) + 2 \, {\left(3 \, a c^{2} d^{2} + 2 \, b c e^{2}\right)} x + {\left(b c^{2} e^{2} x^{3} + 3 \, b c^{2} d e x^{2} + 3 \, b c^{2} d^{2} x\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{6 \, c^{2}}, \frac{2 \, a c^{2} e^{2} x^{3} + 6 \, a c^{2} d e x^{2} + 3 \, b c d e \log\left(c x^{2} + 1\right) + 3 \, b c d e \log\left(c x^{2} - 1\right) + 2 \, {\left(3 \, b c d^{2} + b e^{2}\right)} \sqrt{-c} \arctan\left(\sqrt{-c} x\right) + {\left(3 \, b c d^{2} - b e^{2}\right)} \sqrt{-c} \log\left(\frac{c x^{2} + 2 \, \sqrt{-c} x - 1}{c x^{2} + 1}\right) + 2 \, {\left(3 \, a c^{2} d^{2} + 2 \, b c e^{2}\right)} x + {\left(b c^{2} e^{2} x^{3} + 3 \, b c^{2} d e x^{2} + 3 \, b c^{2} d^{2} x\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{6 \, c^{2}}\right]"," ",0,"[1/6*(2*a*c^2*e^2*x^3 + 6*a*c^2*d*e*x^2 + 3*b*c*d*e*log(c*x^2 + 1) + 3*b*c*d*e*log(c*x^2 - 1) + 2*(3*b*c*d^2 - b*e^2)*sqrt(c)*arctan(sqrt(c)*x) + (3*b*c*d^2 + b*e^2)*sqrt(c)*log((c*x^2 - 2*sqrt(c)*x + 1)/(c*x^2 - 1)) + 2*(3*a*c^2*d^2 + 2*b*c*e^2)*x + (b*c^2*e^2*x^3 + 3*b*c^2*d*e*x^2 + 3*b*c^2*d^2*x)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/c^2, 1/6*(2*a*c^2*e^2*x^3 + 6*a*c^2*d*e*x^2 + 3*b*c*d*e*log(c*x^2 + 1) + 3*b*c*d*e*log(c*x^2 - 1) + 2*(3*b*c*d^2 + b*e^2)*sqrt(-c)*arctan(sqrt(-c)*x) + (3*b*c*d^2 - b*e^2)*sqrt(-c)*log((c*x^2 + 2*sqrt(-c)*x - 1)/(c*x^2 + 1)) + 2*(3*a*c^2*d^2 + 2*b*c*e^2)*x + (b*c^2*e^2*x^3 + 3*b*c^2*d*e*x^2 + 3*b*c^2*d^2*x)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/c^2]","A",0
25,1,249,0,1.342046," ","integrate((e*x+d)*(a+b*arctanh(c*x^2)),x, algorithm=""fricas"")","\left[\frac{2 \, a c e x^{2} + 4 \, a c d x + 4 \, b \sqrt{c} d \arctan\left(\sqrt{c} x\right) + 2 \, b \sqrt{c} d \log\left(\frac{c x^{2} - 2 \, \sqrt{c} x + 1}{c x^{2} - 1}\right) + b e \log\left(c x^{2} + 1\right) + b e \log\left(c x^{2} - 1\right) + {\left(b c e x^{2} + 2 \, b c d x\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{4 \, c}, \frac{2 \, a c e x^{2} + 4 \, a c d x + 4 \, b \sqrt{-c} d \arctan\left(\sqrt{-c} x\right) - 2 \, b \sqrt{-c} d \log\left(\frac{c x^{2} - 2 \, \sqrt{-c} x - 1}{c x^{2} + 1}\right) + b e \log\left(c x^{2} + 1\right) + b e \log\left(c x^{2} - 1\right) + {\left(b c e x^{2} + 2 \, b c d x\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{4 \, c}\right]"," ",0,"[1/4*(2*a*c*e*x^2 + 4*a*c*d*x + 4*b*sqrt(c)*d*arctan(sqrt(c)*x) + 2*b*sqrt(c)*d*log((c*x^2 - 2*sqrt(c)*x + 1)/(c*x^2 - 1)) + b*e*log(c*x^2 + 1) + b*e*log(c*x^2 - 1) + (b*c*e*x^2 + 2*b*c*d*x)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/c, 1/4*(2*a*c*e*x^2 + 4*a*c*d*x + 4*b*sqrt(-c)*d*arctan(sqrt(-c)*x) - 2*b*sqrt(-c)*d*log((c*x^2 - 2*sqrt(-c)*x - 1)/(c*x^2 + 1)) + b*e*log(c*x^2 + 1) + b*e*log(c*x^2 - 1) + (b*c*e*x^2 + 2*b*c*d*x)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/c]","A",0
26,0,0,0,0.701840," ","integrate((a+b*arctanh(c*x^2))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c x^{2}\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arctanh(c*x^2) + a)/(e*x + d), x)","F",0
27,1,634,0,8.200973," ","integrate((a+b*arctanh(c*x^2))/(e*x+d)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a c^{2} d^{4} - 2 \, a e^{4} - 2 \, {\left(b c d^{3} e - b d e^{3} + {\left(b c d^{2} e^{2} - b e^{4}\right)} x\right)} \sqrt{c} \arctan\left(\sqrt{c} x\right) + {\left(b c d^{3} e + b d e^{3} + {\left(b c d^{2} e^{2} + b e^{4}\right)} x\right)} \sqrt{c} \log\left(\frac{c x^{2} + 2 \, \sqrt{c} x + 1}{c x^{2} - 1}\right) - {\left(b c^{2} d^{4} - b c d^{2} e^{2} + {\left(b c^{2} d^{3} e - b c d e^{3}\right)} x\right)} \log\left(c x^{2} + 1\right) + {\left(b c^{2} d^{4} + b c d^{2} e^{2} + {\left(b c^{2} d^{3} e + b c d e^{3}\right)} x\right)} \log\left(c x^{2} - 1\right) - 4 \, {\left(b c d e^{3} x + b c d^{2} e^{2}\right)} \log\left(e x + d\right) + {\left(b c^{2} d^{4} - b e^{4}\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{2 \, {\left(c^{2} d^{5} e - d e^{5} + {\left(c^{2} d^{4} e^{2} - e^{6}\right)} x\right)}}, -\frac{2 \, a c^{2} d^{4} - 2 \, a e^{4} - 2 \, {\left(b c d^{3} e + b d e^{3} + {\left(b c d^{2} e^{2} + b e^{4}\right)} x\right)} \sqrt{-c} \arctan\left(\sqrt{-c} x\right) - {\left(b c d^{3} e - b d e^{3} + {\left(b c d^{2} e^{2} - b e^{4}\right)} x\right)} \sqrt{-c} \log\left(\frac{c x^{2} + 2 \, \sqrt{-c} x - 1}{c x^{2} + 1}\right) - {\left(b c^{2} d^{4} - b c d^{2} e^{2} + {\left(b c^{2} d^{3} e - b c d e^{3}\right)} x\right)} \log\left(c x^{2} + 1\right) + {\left(b c^{2} d^{4} + b c d^{2} e^{2} + {\left(b c^{2} d^{3} e + b c d e^{3}\right)} x\right)} \log\left(c x^{2} - 1\right) - 4 \, {\left(b c d e^{3} x + b c d^{2} e^{2}\right)} \log\left(e x + d\right) + {\left(b c^{2} d^{4} - b e^{4}\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{2 \, {\left(c^{2} d^{5} e - d e^{5} + {\left(c^{2} d^{4} e^{2} - e^{6}\right)} x\right)}}\right]"," ",0,"[-1/2*(2*a*c^2*d^4 - 2*a*e^4 - 2*(b*c*d^3*e - b*d*e^3 + (b*c*d^2*e^2 - b*e^4)*x)*sqrt(c)*arctan(sqrt(c)*x) + (b*c*d^3*e + b*d*e^3 + (b*c*d^2*e^2 + b*e^4)*x)*sqrt(c)*log((c*x^2 + 2*sqrt(c)*x + 1)/(c*x^2 - 1)) - (b*c^2*d^4 - b*c*d^2*e^2 + (b*c^2*d^3*e - b*c*d*e^3)*x)*log(c*x^2 + 1) + (b*c^2*d^4 + b*c*d^2*e^2 + (b*c^2*d^3*e + b*c*d*e^3)*x)*log(c*x^2 - 1) - 4*(b*c*d*e^3*x + b*c*d^2*e^2)*log(e*x + d) + (b*c^2*d^4 - b*e^4)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/(c^2*d^5*e - d*e^5 + (c^2*d^4*e^2 - e^6)*x), -1/2*(2*a*c^2*d^4 - 2*a*e^4 - 2*(b*c*d^3*e + b*d*e^3 + (b*c*d^2*e^2 + b*e^4)*x)*sqrt(-c)*arctan(sqrt(-c)*x) - (b*c*d^3*e - b*d*e^3 + (b*c*d^2*e^2 - b*e^4)*x)*sqrt(-c)*log((c*x^2 + 2*sqrt(-c)*x - 1)/(c*x^2 + 1)) - (b*c^2*d^4 - b*c*d^2*e^2 + (b*c^2*d^3*e - b*c*d*e^3)*x)*log(c*x^2 + 1) + (b*c^2*d^4 + b*c*d^2*e^2 + (b*c^2*d^3*e + b*c*d*e^3)*x)*log(c*x^2 - 1) - 4*(b*c*d*e^3*x + b*c*d^2*e^2)*log(e*x + d) + (b*c^2*d^4 - b*e^4)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/(c^2*d^5*e - d*e^5 + (c^2*d^4*e^2 - e^6)*x)]","B",0
28,1,1639,0,48.700687," ","integrate((a+b*arctanh(c*x^2))/(e*x+d)^3,x, algorithm=""fricas"")","\left[-\frac{2 \, a c^{4} d^{8} + 4 \, b c^{3} d^{6} e^{2} - 4 \, a c^{2} d^{4} e^{4} - 4 \, b c d^{2} e^{6} + 2 \, a e^{8} - 4 \, {\left(b c^{3} d^{7} e + 2 \, b c^{2} d^{5} e^{3} + b c d^{3} e^{5} + {\left(b c^{3} d^{5} e^{3} + 2 \, b c^{2} d^{3} e^{5} + b c d e^{7}\right)} x^{2} + 2 \, {\left(b c^{3} d^{6} e^{2} + 2 \, b c^{2} d^{4} e^{4} + b c d^{2} e^{6}\right)} x\right)} \sqrt{-c} \arctan\left(\sqrt{-c} x\right) - 2 \, {\left(b c^{3} d^{7} e - 2 \, b c^{2} d^{5} e^{3} + b c d^{3} e^{5} + {\left(b c^{3} d^{5} e^{3} - 2 \, b c^{2} d^{3} e^{5} + b c d e^{7}\right)} x^{2} + 2 \, {\left(b c^{3} d^{6} e^{2} - 2 \, b c^{2} d^{4} e^{4} + b c d^{2} e^{6}\right)} x\right)} \sqrt{-c} \log\left(\frac{c x^{2} + 2 \, \sqrt{-c} x - 1}{c x^{2} + 1}\right) + 4 \, {\left(b c^{3} d^{5} e^{3} - b c d e^{7}\right)} x - {\left(b c^{4} d^{8} - 3 \, b c^{3} d^{6} e^{2} + 3 \, b c^{2} d^{4} e^{4} - b c d^{2} e^{6} + {\left(b c^{4} d^{6} e^{2} - 3 \, b c^{3} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b c e^{8}\right)} x^{2} + 2 \, {\left(b c^{4} d^{7} e - 3 \, b c^{3} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} - b c d e^{7}\right)} x\right)} \log\left(c x^{2} + 1\right) + {\left(b c^{4} d^{8} + 3 \, b c^{3} d^{6} e^{2} + 3 \, b c^{2} d^{4} e^{4} + b c d^{2} e^{6} + {\left(b c^{4} d^{6} e^{2} + 3 \, b c^{3} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} + b c e^{8}\right)} x^{2} + 2 \, {\left(b c^{4} d^{7} e + 3 \, b c^{3} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} + b c d e^{7}\right)} x\right)} \log\left(c x^{2} - 1\right) - 4 \, {\left(3 \, b c^{3} d^{6} e^{2} + b c d^{2} e^{6} + {\left(3 \, b c^{3} d^{4} e^{4} + b c e^{8}\right)} x^{2} + 2 \, {\left(3 \, b c^{3} d^{5} e^{3} + b c d e^{7}\right)} x\right)} \log\left(e x + d\right) + {\left(b c^{4} d^{8} - 2 \, b c^{2} d^{4} e^{4} + b e^{8}\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{4 \, {\left(c^{4} d^{10} e - 2 \, c^{2} d^{6} e^{5} + d^{2} e^{9} + {\left(c^{4} d^{8} e^{3} - 2 \, c^{2} d^{4} e^{7} + e^{11}\right)} x^{2} + 2 \, {\left(c^{4} d^{9} e^{2} - 2 \, c^{2} d^{5} e^{6} + d e^{10}\right)} x\right)}}, -\frac{2 \, a c^{4} d^{8} + 4 \, b c^{3} d^{6} e^{2} - 4 \, a c^{2} d^{4} e^{4} - 4 \, b c d^{2} e^{6} + 2 \, a e^{8} - 4 \, {\left(b c^{3} d^{7} e - 2 \, b c^{2} d^{5} e^{3} + b c d^{3} e^{5} + {\left(b c^{3} d^{5} e^{3} - 2 \, b c^{2} d^{3} e^{5} + b c d e^{7}\right)} x^{2} + 2 \, {\left(b c^{3} d^{6} e^{2} - 2 \, b c^{2} d^{4} e^{4} + b c d^{2} e^{6}\right)} x\right)} \sqrt{c} \arctan\left(\sqrt{c} x\right) - 2 \, {\left(b c^{3} d^{7} e + 2 \, b c^{2} d^{5} e^{3} + b c d^{3} e^{5} + {\left(b c^{3} d^{5} e^{3} + 2 \, b c^{2} d^{3} e^{5} + b c d e^{7}\right)} x^{2} + 2 \, {\left(b c^{3} d^{6} e^{2} + 2 \, b c^{2} d^{4} e^{4} + b c d^{2} e^{6}\right)} x\right)} \sqrt{c} \log\left(\frac{c x^{2} - 2 \, \sqrt{c} x + 1}{c x^{2} - 1}\right) + 4 \, {\left(b c^{3} d^{5} e^{3} - b c d e^{7}\right)} x - {\left(b c^{4} d^{8} - 3 \, b c^{3} d^{6} e^{2} + 3 \, b c^{2} d^{4} e^{4} - b c d^{2} e^{6} + {\left(b c^{4} d^{6} e^{2} - 3 \, b c^{3} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} - b c e^{8}\right)} x^{2} + 2 \, {\left(b c^{4} d^{7} e - 3 \, b c^{3} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} - b c d e^{7}\right)} x\right)} \log\left(c x^{2} + 1\right) + {\left(b c^{4} d^{8} + 3 \, b c^{3} d^{6} e^{2} + 3 \, b c^{2} d^{4} e^{4} + b c d^{2} e^{6} + {\left(b c^{4} d^{6} e^{2} + 3 \, b c^{3} d^{4} e^{4} + 3 \, b c^{2} d^{2} e^{6} + b c e^{8}\right)} x^{2} + 2 \, {\left(b c^{4} d^{7} e + 3 \, b c^{3} d^{5} e^{3} + 3 \, b c^{2} d^{3} e^{5} + b c d e^{7}\right)} x\right)} \log\left(c x^{2} - 1\right) - 4 \, {\left(3 \, b c^{3} d^{6} e^{2} + b c d^{2} e^{6} + {\left(3 \, b c^{3} d^{4} e^{4} + b c e^{8}\right)} x^{2} + 2 \, {\left(3 \, b c^{3} d^{5} e^{3} + b c d e^{7}\right)} x\right)} \log\left(e x + d\right) + {\left(b c^{4} d^{8} - 2 \, b c^{2} d^{4} e^{4} + b e^{8}\right)} \log\left(-\frac{c x^{2} + 1}{c x^{2} - 1}\right)}{4 \, {\left(c^{4} d^{10} e - 2 \, c^{2} d^{6} e^{5} + d^{2} e^{9} + {\left(c^{4} d^{8} e^{3} - 2 \, c^{2} d^{4} e^{7} + e^{11}\right)} x^{2} + 2 \, {\left(c^{4} d^{9} e^{2} - 2 \, c^{2} d^{5} e^{6} + d e^{10}\right)} x\right)}}\right]"," ",0,"[-1/4*(2*a*c^4*d^8 + 4*b*c^3*d^6*e^2 - 4*a*c^2*d^4*e^4 - 4*b*c*d^2*e^6 + 2*a*e^8 - 4*(b*c^3*d^7*e + 2*b*c^2*d^5*e^3 + b*c*d^3*e^5 + (b*c^3*d^5*e^3 + 2*b*c^2*d^3*e^5 + b*c*d*e^7)*x^2 + 2*(b*c^3*d^6*e^2 + 2*b*c^2*d^4*e^4 + b*c*d^2*e^6)*x)*sqrt(-c)*arctan(sqrt(-c)*x) - 2*(b*c^3*d^7*e - 2*b*c^2*d^5*e^3 + b*c*d^3*e^5 + (b*c^3*d^5*e^3 - 2*b*c^2*d^3*e^5 + b*c*d*e^7)*x^2 + 2*(b*c^3*d^6*e^2 - 2*b*c^2*d^4*e^4 + b*c*d^2*e^6)*x)*sqrt(-c)*log((c*x^2 + 2*sqrt(-c)*x - 1)/(c*x^2 + 1)) + 4*(b*c^3*d^5*e^3 - b*c*d*e^7)*x - (b*c^4*d^8 - 3*b*c^3*d^6*e^2 + 3*b*c^2*d^4*e^4 - b*c*d^2*e^6 + (b*c^4*d^6*e^2 - 3*b*c^3*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*c*e^8)*x^2 + 2*(b*c^4*d^7*e - 3*b*c^3*d^5*e^3 + 3*b*c^2*d^3*e^5 - b*c*d*e^7)*x)*log(c*x^2 + 1) + (b*c^4*d^8 + 3*b*c^3*d^6*e^2 + 3*b*c^2*d^4*e^4 + b*c*d^2*e^6 + (b*c^4*d^6*e^2 + 3*b*c^3*d^4*e^4 + 3*b*c^2*d^2*e^6 + b*c*e^8)*x^2 + 2*(b*c^4*d^7*e + 3*b*c^3*d^5*e^3 + 3*b*c^2*d^3*e^5 + b*c*d*e^7)*x)*log(c*x^2 - 1) - 4*(3*b*c^3*d^6*e^2 + b*c*d^2*e^6 + (3*b*c^3*d^4*e^4 + b*c*e^8)*x^2 + 2*(3*b*c^3*d^5*e^3 + b*c*d*e^7)*x)*log(e*x + d) + (b*c^4*d^8 - 2*b*c^2*d^4*e^4 + b*e^8)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/(c^4*d^10*e - 2*c^2*d^6*e^5 + d^2*e^9 + (c^4*d^8*e^3 - 2*c^2*d^4*e^7 + e^11)*x^2 + 2*(c^4*d^9*e^2 - 2*c^2*d^5*e^6 + d*e^10)*x), -1/4*(2*a*c^4*d^8 + 4*b*c^3*d^6*e^2 - 4*a*c^2*d^4*e^4 - 4*b*c*d^2*e^6 + 2*a*e^8 - 4*(b*c^3*d^7*e - 2*b*c^2*d^5*e^3 + b*c*d^3*e^5 + (b*c^3*d^5*e^3 - 2*b*c^2*d^3*e^5 + b*c*d*e^7)*x^2 + 2*(b*c^3*d^6*e^2 - 2*b*c^2*d^4*e^4 + b*c*d^2*e^6)*x)*sqrt(c)*arctan(sqrt(c)*x) - 2*(b*c^3*d^7*e + 2*b*c^2*d^5*e^3 + b*c*d^3*e^5 + (b*c^3*d^5*e^3 + 2*b*c^2*d^3*e^5 + b*c*d*e^7)*x^2 + 2*(b*c^3*d^6*e^2 + 2*b*c^2*d^4*e^4 + b*c*d^2*e^6)*x)*sqrt(c)*log((c*x^2 - 2*sqrt(c)*x + 1)/(c*x^2 - 1)) + 4*(b*c^3*d^5*e^3 - b*c*d*e^7)*x - (b*c^4*d^8 - 3*b*c^3*d^6*e^2 + 3*b*c^2*d^4*e^4 - b*c*d^2*e^6 + (b*c^4*d^6*e^2 - 3*b*c^3*d^4*e^4 + 3*b*c^2*d^2*e^6 - b*c*e^8)*x^2 + 2*(b*c^4*d^7*e - 3*b*c^3*d^5*e^3 + 3*b*c^2*d^3*e^5 - b*c*d*e^7)*x)*log(c*x^2 + 1) + (b*c^4*d^8 + 3*b*c^3*d^6*e^2 + 3*b*c^2*d^4*e^4 + b*c*d^2*e^6 + (b*c^4*d^6*e^2 + 3*b*c^3*d^4*e^4 + 3*b*c^2*d^2*e^6 + b*c*e^8)*x^2 + 2*(b*c^4*d^7*e + 3*b*c^3*d^5*e^3 + 3*b*c^2*d^3*e^5 + b*c*d*e^7)*x)*log(c*x^2 - 1) - 4*(3*b*c^3*d^6*e^2 + b*c*d^2*e^6 + (3*b*c^3*d^4*e^4 + b*c*e^8)*x^2 + 2*(3*b*c^3*d^5*e^3 + b*c*d*e^7)*x)*log(e*x + d) + (b*c^4*d^8 - 2*b*c^2*d^4*e^4 + b*e^8)*log(-(c*x^2 + 1)/(c*x^2 - 1)))/(c^4*d^10*e - 2*c^2*d^6*e^5 + d^2*e^9 + (c^4*d^8*e^3 - 2*c^2*d^4*e^7 + e^11)*x^2 + 2*(c^4*d^9*e^2 - 2*c^2*d^5*e^6 + d*e^10)*x)]","B",0
29,0,0,0,0.457637," ","integrate((e*x+d)*(a+b*arctanh(c*x^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(a^{2} e x + a^{2} d + {\left(b^{2} e x + b^{2} d\right)} \operatorname{artanh}\left(c x^{2}\right)^{2} + 2 \, {\left(a b e x + a b d\right)} \operatorname{artanh}\left(c x^{2}\right), x\right)"," ",0,"integral(a^2*e*x + a^2*d + (b^2*e*x + b^2*d)*arctanh(c*x^2)^2 + 2*(a*b*e*x + a*b*d)*arctanh(c*x^2), x)","F",0
30,0,0,0,0.807665," ","integrate((a+b*arctanh(c*x^2))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(c x^{2}\right)^{2} + 2 \, a b \operatorname{artanh}\left(c x^{2}\right) + a^{2}}{e x + d}, x\right)"," ",0,"integral((b^2*arctanh(c*x^2)^2 + 2*a*b*arctanh(c*x^2) + a^2)/(e*x + d), x)","F",0
31,0,0,0,0.914140," ","integrate((a+b*arctanh(c*x^2))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{artanh}\left(c x^{2}\right)^{2} + 2 \, a b \operatorname{artanh}\left(c x^{2}\right) + a^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*arctanh(c*x^2)^2 + 2*a*b*arctanh(c*x^2) + a^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
32,1,9282,0,2.841944," ","integrate((e*x+d)^2*(a+b*arctanh(c*x^3)),x, algorithm=""fricas"")","\frac{8 \, a c e^{2} x^{3} + 24 \, a c d e x^{2} + 24 \, a c d^{2} x - 2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c \log\left(15 \, b^{2} c d^{3} e^{2} + b^{2} e^{5} + \frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2} e - \frac{1}{2} \, {\left(3 \, b c^{2} d^{3} - 2 \, b c e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 9 \, {\left(b^{2} c^{2} d^{5} + b^{2} c d^{2} e^{3}\right)} x\right) - 2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c \log\left(15 \, b^{2} c d^{3} e^{2} - b^{2} e^{5} - \frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2} e - \frac{1}{2} \, {\left(3 \, b c^{2} d^{3} + 2 \, b c e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 9 \, {\left(b^{2} c^{2} d^{5} - b^{2} c d^{2} e^{3}\right)} x\right) + {\left(6 \, b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{144 \, b^{2} c d^{3} e - 4 \, b^{2} e^{4} - 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} - {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right)} \log\left(-15 \, b^{2} c d^{3} e^{2} + b^{2} e^{5} + \frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2} e + \frac{1}{2} \, {\left(3 \, b c^{2} d^{3} + 2 \, b c e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 18 \, {\left(b^{2} c^{2} d^{5} - b^{2} c d^{2} e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(6 \, b c^{2} d^{3} - 2 \, b c e^{3} - {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c^{2} e\right)} \sqrt{\frac{144 \, b^{2} c d^{3} e - 4 \, b^{2} e^{4} - 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} - {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right) + {\left(6 \, b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{\frac{144 \, b^{2} c d^{3} e - 4 \, b^{2} e^{4} - 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} - {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right)} \log\left(-15 \, b^{2} c d^{3} e^{2} + b^{2} e^{5} + \frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2} e + \frac{1}{2} \, {\left(3 \, b c^{2} d^{3} + 2 \, b c e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 18 \, {\left(b^{2} c^{2} d^{5} - b^{2} c d^{2} e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(6 \, b c^{2} d^{3} - 2 \, b c e^{3} - {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c^{2} e\right)} \sqrt{\frac{144 \, b^{2} c d^{3} e - 4 \, b^{2} e^{4} - 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} - {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} + \frac{{\left(9 \, c d^{3} e - e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} - \frac{27 \, {\left(c d^{3} - e^{3}\right)} b^{3} d^{3}}{c^{2}} + \frac{3 \, {\left(9 \, c d^{3} e - e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right) + {\left(6 \, b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c + 3 \, \sqrt{\frac{1}{3}} c \sqrt{-\frac{144 \, b^{2} c d^{3} e + 4 \, b^{2} e^{4} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right)} \log\left(-15 \, b^{2} c d^{3} e^{2} - b^{2} e^{5} - \frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2} e + \frac{1}{2} \, {\left(3 \, b c^{2} d^{3} - 2 \, b c e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 18 \, {\left(b^{2} c^{2} d^{5} + b^{2} c d^{2} e^{3}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(6 \, b c^{2} d^{3} + 2 \, b c e^{3} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c^{2} e\right)} \sqrt{-\frac{144 \, b^{2} c d^{3} e + 4 \, b^{2} e^{4} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right) + {\left(6 \, b e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c - 3 \, \sqrt{\frac{1}{3}} c \sqrt{-\frac{144 \, b^{2} c d^{3} e + 4 \, b^{2} e^{4} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right)} \log\left(-15 \, b^{2} c d^{3} e^{2} - b^{2} e^{5} - \frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2} e + \frac{1}{2} \, {\left(3 \, b c^{2} d^{3} - 2 \, b c e^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} + 18 \, {\left(b^{2} c^{2} d^{5} + b^{2} c d^{2} e^{3}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(6 \, b c^{2} d^{3} + 2 \, b c e^{3} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c^{2} e\right)} \sqrt{-\frac{144 \, b^{2} c d^{3} e + 4 \, b^{2} e^{4} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c e^{2} + {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} e^{4}}{c^{2}} - \frac{{\left(9 \, c d^{3} e + e^{4}\right)} b^{2}}{c^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}}} - \frac{2 \, b e^{2}}{c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, b^{3} e^{6}}{c^{3}} + \frac{27 \, {\left(c d^{3} + e^{3}\right)} b^{3} d^{3}}{c^{2}} - \frac{3 \, {\left(9 \, c d^{3} e + e^{4}\right)} b^{3} e^{2}}{c^{3}} + \frac{{\left(27 \, c^{2} d^{6} + e^{6}\right)} b^{3}}{c^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c^{2}}{c^{2}}}\right) + 4 \, {\left(b c e^{2} x^{3} + 3 \, b c d e x^{2} + 3 \, b c d^{2} x\right)} \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right)}{24 \, c}"," ",0,"1/24*(8*a*c*e^2*x^3 + 24*a*c*d*e*x^2 + 24*a*c*d^2*x - 2*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c*log(15*b^2*c*d^3*e^2 + b^2*e^5 + 1/4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2*e - 1/2*(3*b*c^2*d^3 - 2*b*c*e^3)*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1)) + 9*(b^2*c^2*d^5 + b^2*c*d^2*e^3)*x) - 2*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c*log(15*b^2*c*d^3*e^2 - b^2*e^5 - 1/4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2*e - 1/2*(3*b*c^2*d^3 + 2*b*c*e^3)*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1)) - 9*(b^2*c^2*d^5 - b^2*c*d^2*e^3)*x) + (6*b*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt((144*b^2*c*d^3*e - 4*b^2*e^4 - 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 - (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))*log(-15*b^2*c*d^3*e^2 + b^2*e^5 + 1/4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2*e + 1/2*(3*b*c^2*d^3 + 2*b*c*e^3)*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1)) - 18*(b^2*c^2*d^5 - b^2*c*d^2*e^3)*x + 3/4*sqrt(1/3)*(6*b*c^2*d^3 - 2*b*c*e^3 - (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c^2*e)*sqrt((144*b^2*c*d^3*e - 4*b^2*e^4 - 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 - (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2)) + (6*b*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt((144*b^2*c*d^3*e - 4*b^2*e^4 - 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 - (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))*log(-15*b^2*c*d^3*e^2 + b^2*e^5 + 1/4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2*e + 1/2*(3*b*c^2*d^3 + 2*b*c*e^3)*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1)) - 18*(b^2*c^2*d^5 - b^2*c*d^2*e^3)*x - 3/4*sqrt(1/3)*(6*b*c^2*d^3 - 2*b*c*e^3 - (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c^2*e)*sqrt((144*b^2*c*d^3*e - 4*b^2*e^4 - 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 - (2*(1/2)^(2/3)*(b^2*e^4/c^2 + (9*c*d^3*e - e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 - 27*(c*d^3 - e^3)*b^3*d^3/c^2 + 3*(9*c*d^3*e - e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2)) + (6*b*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c + 3*sqrt(1/3)*c*sqrt(-(144*b^2*c*d^3*e + 4*b^2*e^4 + 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))*log(-15*b^2*c*d^3*e^2 - b^2*e^5 - 1/4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2*e + 1/2*(3*b*c^2*d^3 - 2*b*c*e^3)*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1)) + 18*(b^2*c^2*d^5 + b^2*c*d^2*e^3)*x + 3/4*sqrt(1/3)*(6*b*c^2*d^3 + 2*b*c*e^3 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c^2*e)*sqrt(-(144*b^2*c*d^3*e + 4*b^2*e^4 + 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2)) + (6*b*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c - 3*sqrt(1/3)*c*sqrt(-(144*b^2*c*d^3*e + 4*b^2*e^4 + 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2))*log(-15*b^2*c*d^3*e^2 - b^2*e^5 - 1/4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2*e + 1/2*(3*b*c^2*d^3 - 2*b*c*e^3)*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1)) + 18*(b^2*c^2*d^5 + b^2*c*d^2*e^3)*x - 3/4*sqrt(1/3)*(6*b*c^2*d^3 + 2*b*c*e^3 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*c^2*e)*sqrt(-(144*b^2*c*d^3*e + 4*b^2*e^4 + 4*(2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))*b*c*e^2 + (2*(1/2)^(2/3)*(b^2*e^4/c^2 - (9*c*d^3*e + e^4)*b^2/c^2)*(-I*sqrt(3) + 1)/(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3) - 2*b*e^2/c + (1/2)^(1/3)*(2*b^3*e^6/c^3 + 27*(c*d^3 + e^3)*b^3*d^3/c^2 - 3*(9*c*d^3*e + e^4)*b^3*e^2/c^3 + (27*c^2*d^6 + e^6)*b^3/c^3)^(1/3)*(I*sqrt(3) + 1))^2*c^2)/c^2)) + 4*(b*c*e^2*x^3 + 3*b*c*d*e*x^2 + 3*b*c*d^2*x)*log(-(c*x^3 + 1)/(c*x^3 - 1)))/c","C",0
33,1,3928,0,2.097980," ","integrate((e*x+d)*(a+b*arctanh(c*x^3)),x, algorithm=""fricas"")","\frac{1}{2} \, a e x^{2} + a d x + \frac{1}{8} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \log\left(2 \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c d^{2} + 4 \, b^{2} d e^{2} + \frac{1}{4} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c e + {\left(8 \, b^{2} c d^{3} + b^{2} e^{3}\right)} x\right) - \frac{1}{16} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - 2 \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} \sqrt{-\frac{32 \, b^{2} d e + {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}}\right)} \log\left(-{\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c d^{2} - 2 \, b^{2} d e^{2} - \frac{1}{8} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c e + \frac{1}{4} \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} {\left(8 \, b c d^{2} - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c e\right)} \sqrt{-\frac{32 \, b^{2} d e + {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}} + {\left(8 \, b^{2} c d^{3} + b^{2} e^{3}\right)} x\right) - \frac{1}{16} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} + 2 \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} \sqrt{-\frac{32 \, b^{2} d e + {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}}\right)} \log\left(-{\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c d^{2} - 2 \, b^{2} d e^{2} - \frac{1}{8} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c e - \frac{1}{4} \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} {\left(8 \, b c d^{2} - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c e\right)} \sqrt{-\frac{32 \, b^{2} d e + {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} + \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}} + {\left(8 \, b^{2} c d^{3} + b^{2} e^{3}\right)} x\right) + \frac{1}{16} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} + 2 \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} \sqrt{\frac{32 \, b^{2} d e - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}}\right)} \log\left({\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c d^{2} - 2 \, b^{2} d e^{2} + \frac{1}{8} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c e + \frac{1}{4} \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} {\left(8 \, b c d^{2} - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c e\right)} \sqrt{\frac{32 \, b^{2} d e - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}} - {\left(8 \, b^{2} c d^{3} - b^{2} e^{3}\right)} x\right) + \frac{1}{16} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - 2 \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} \sqrt{\frac{32 \, b^{2} d e - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}}\right)} \log\left({\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c d^{2} - 2 \, b^{2} d e^{2} + \frac{1}{8} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c e - \frac{1}{4} \, \sqrt{\frac{3}{2}} \sqrt{\frac{1}{2}} {\left(8 \, b c d^{2} - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} c e\right)} \sqrt{\frac{32 \, b^{2} d e - {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c}{c}} - {\left(8 \, b^{2} c d^{3} - b^{2} e^{3}\right)} x\right) - \frac{1}{8} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} \log\left(-2 \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} b c d^{2} + 4 \, b^{2} d e^{2} - \frac{1}{4} \, {\left(\frac{4 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} b^{2} d e {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} c} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{{\left(8 \, c d^{3} + e^{3}\right)} b^{3}}{c^{2}} - \frac{{\left(8 \, c d^{3} - e^{3}\right)} b^{3}}{c^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} c e - {\left(8 \, b^{2} c d^{3} - b^{2} e^{3}\right)} x\right) + \frac{1}{4} \, {\left(b e x^{2} + 2 \, b d x\right)} \log\left(-\frac{c x^{3} + 1}{c x^{3} - 1}\right)"," ",0,"1/2*a*e*x^2 + a*d*x + 1/8*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*log(2*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*b*c*d^2 + 4*b^2*d*e^2 + 1/4*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c*e + (8*b^2*c*d^3 + b^2*e^3)*x) - 1/16*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1) - 2*sqrt(3/2)*sqrt(1/2)*sqrt(-(32*b^2*d*e + (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c))*log(-(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*b*c*d^2 - 2*b^2*d*e^2 - 1/8*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c*e + 1/4*sqrt(3/2)*sqrt(1/2)*(8*b*c*d^2 - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*c*e)*sqrt(-(32*b^2*d*e + (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c) + (8*b^2*c*d^3 + b^2*e^3)*x) - 1/16*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1) + 2*sqrt(3/2)*sqrt(1/2)*sqrt(-(32*b^2*d*e + (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c))*log(-(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*b*c*d^2 - 2*b^2*d*e^2 - 1/8*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c*e - 1/4*sqrt(3/2)*sqrt(1/2)*(8*b*c*d^2 - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*c*e)*sqrt(-(32*b^2*d*e + (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) - (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 + (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c) + (8*b^2*c*d^3 + b^2*e^3)*x) + 1/16*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1) + 2*sqrt(3/2)*sqrt(1/2)*sqrt((32*b^2*d*e - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c))*log((4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*b*c*d^2 - 2*b^2*d*e^2 + 1/8*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c*e + 1/4*sqrt(3/2)*sqrt(1/2)*(8*b*c*d^2 - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*c*e)*sqrt((32*b^2*d*e - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c) - (8*b^2*c*d^3 - b^2*e^3)*x) + 1/16*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1) - 2*sqrt(3/2)*sqrt(1/2)*sqrt((32*b^2*d*e - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c))*log((4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*b*c*d^2 - 2*b^2*d*e^2 + 1/8*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c*e - 1/4*sqrt(3/2)*sqrt(1/2)*(8*b*c*d^2 - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*c*e)*sqrt((32*b^2*d*e - (4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c)/c) - (8*b^2*c*d^3 - b^2*e^3)*x) - 1/8*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*log(-2*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))*b*c*d^2 + 4*b^2*d*e^2 - 1/4*(4*(1/2)^(2/3)*b^2*d*e*(-I*sqrt(3) + 1)/(((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*c) + (1/2)^(1/3)*((8*c*d^3 + e^3)*b^3/c^2 - (8*c*d^3 - e^3)*b^3/c^2)^(1/3)*(I*sqrt(3) + 1))^2*c*e - (8*b^2*c*d^3 - b^2*e^3)*x) + 1/4*(b*e*x^2 + 2*b*d*x)*log(-(c*x^3 + 1)/(c*x^3 - 1))","C",0
34,0,0,0,0.588856," ","integrate((a+b*arctanh(c*x^3))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c x^{3}\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arctanh(c*x^3) + a)/(e*x + d), x)","F",0
35,-1,0,0,0.000000," ","integrate((a+b*arctanh(c*x^3))/(e*x+d)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,0,0,0,1.106605," ","integrate(x^3*(a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{3} \operatorname{artanh}\left(c \sqrt{x}\right) + a x^{3}}{c^{2} x - 1}, x\right)"," ",0,"integral(-(b*x^3*arctanh(c*sqrt(x)) + a*x^3)/(c^2*x - 1), x)","F",0
37,0,0,0,0.566547," ","integrate(x^2*(a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{2} \operatorname{artanh}\left(c \sqrt{x}\right) + a x^{2}}{c^{2} x - 1}, x\right)"," ",0,"integral(-(b*x^2*arctanh(c*sqrt(x)) + a*x^2)/(c^2*x - 1), x)","F",0
38,0,0,0,0.947089," ","integrate(x*(a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x \operatorname{artanh}\left(c \sqrt{x}\right) + a x}{c^{2} x - 1}, x\right)"," ",0,"integral(-(b*x*arctanh(c*sqrt(x)) + a*x)/(c^2*x - 1), x)","F",0
39,0,0,0,0.649094," ","integrate((a+b*arctanh(c*x^(1/2)))/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{c^{2} x - 1}, x\right)"," ",0,"integral(-(b*arctanh(c*sqrt(x)) + a)/(c^2*x - 1), x)","F",0
40,0,0,0,0.724557," ","integrate((a+b*arctanh(c*x^(1/2)))/x/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{c^{2} x^{2} - x}, x\right)"," ",0,"integral(-(b*arctanh(c*sqrt(x)) + a)/(c^2*x^2 - x), x)","F",0
41,0,0,0,1.047704," ","integrate((a+b*arctanh(c*x^(1/2)))/x^2/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{c^{2} x^{3} - x^{2}}, x\right)"," ",0,"integral(-(b*arctanh(c*sqrt(x)) + a)/(c^2*x^3 - x^2), x)","F",0
42,0,0,0,1.215251," ","integrate((a+b*arctanh(c*x^(1/2)))/x^3/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{c^{2} x^{4} - x^{3}}, x\right)"," ",0,"integral(-(b*arctanh(c*sqrt(x)) + a)/(c^2*x^4 - x^3), x)","F",0
43,0,0,0,0.958815," ","integrate((a+b*arctanh(c*x^(1/2)))/x^4/(-c^2*x+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{c^{2} x^{5} - x^{4}}, x\right)"," ",0,"integral(-(b*arctanh(c*sqrt(x)) + a)/(c^2*x^5 - x^4), x)","F",0
44,0,0,0,0.834412," ","integrate(x^2*(a+b*arctanh(c*x^(1/2)))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{artanh}\left(c \sqrt{x}\right) + a x^{2}}{e x + d}, x\right)"," ",0,"integral((b*x^2*arctanh(c*sqrt(x)) + a*x^2)/(e*x + d), x)","F",0
45,0,0,0,0.779387," ","integrate(x*(a+b*arctanh(c*x^(1/2)))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \operatorname{artanh}\left(c \sqrt{x}\right) + a x}{e x + d}, x\right)"," ",0,"integral((b*x*arctanh(c*sqrt(x)) + a*x)/(e*x + d), x)","F",0
46,0,0,0,0.609740," ","integrate((a+b*arctanh(c*x^(1/2)))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arctanh(c*sqrt(x)) + a)/(e*x + d), x)","F",0
47,0,0,0,0.709660," ","integrate((a+b*arctanh(c*x^(1/2)))/x/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{e x^{2} + d x}, x\right)"," ",0,"integral((b*arctanh(c*sqrt(x)) + a)/(e*x^2 + d*x), x)","F",0
48,0,0,0,0.666724," ","integrate((a+b*arctanh(c*x^(1/2)))/x^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{e x^{3} + d x^{2}}, x\right)"," ",0,"integral((b*arctanh(c*sqrt(x)) + a)/(e*x^3 + d*x^2), x)","F",0
49,0,0,0,0.701993," ","integrate((a+b*arctanh(c*x^(1/2)))/x^3/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{artanh}\left(c \sqrt{x}\right) + a}{e x^{4} + d x^{3}}, x\right)"," ",0,"integral((b*arctanh(c*sqrt(x)) + a)/(e*x^4 + d*x^3), x)","F",0
