1,1,76,0,0.719367," ","integrate(1/(-9*b*x+9*x^3+2*b^(3/2)*3^(1/2)),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{3} \sqrt{b} x - {\left(3 \, x^{2} - b\right)} \log\left(2 \, \sqrt{3} \sqrt{b} + 3 \, x\right) + {\left(3 \, x^{2} - b\right)} \log\left(-\sqrt{3} \sqrt{b} + 3 \, x\right) + 3 \, b}{27 \, {\left(3 \, b x^{2} - b^{2}\right)}}"," ",0,"-1/27*(3*sqrt(3)*sqrt(b)*x - (3*x^2 - b)*log(2*sqrt(3)*sqrt(b) + 3*x) + (3*x^2 - b)*log(-sqrt(3)*sqrt(b) + 3*x) + 3*b)/(3*b*x^2 - b^2)","A",0
2,1,43,0,1.030138," ","integrate((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^p,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}^{p}}{3 \, b p + b}"," ",0,"(b*x + a)*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)^p/(3*b*p + b)","A",0
3,1,97,0,1.288746," ","integrate((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^3,x, algorithm=""fricas"")","\frac{1}{10} x^{10} b^{9} + x^{9} b^{8} a + \frac{9}{2} x^{8} b^{7} a^{2} + 12 x^{7} b^{6} a^{3} + 21 x^{6} b^{5} a^{4} + \frac{126}{5} x^{5} b^{4} a^{5} + 21 x^{4} b^{3} a^{6} + 12 x^{3} b^{2} a^{7} + \frac{9}{2} x^{2} b a^{8} + x a^{9}"," ",0,"1/10*x^10*b^9 + x^9*b^8*a + 9/2*x^8*b^7*a^2 + 12*x^7*b^6*a^3 + 21*x^6*b^5*a^4 + 126/5*x^5*b^4*a^5 + 21*x^4*b^3*a^6 + 12*x^3*b^2*a^7 + 9/2*x^2*b*a^8 + x*a^9","B",0
4,1,64,0,0.750203," ","integrate((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{6} + x^{6} b^{5} a + 3 x^{5} b^{4} a^{2} + 5 x^{4} b^{3} a^{3} + 5 x^{3} b^{2} a^{4} + 3 x^{2} b a^{5} + x a^{6}"," ",0,"1/7*x^7*b^6 + x^6*b^5*a + 3*x^5*b^4*a^2 + 5*x^4*b^3*a^3 + 5*x^3*b^2*a^4 + 3*x^2*b*a^5 + x*a^6","B",0
5,1,31,0,0.513439," ","integrate(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3,x, algorithm=""fricas"")","\frac{1}{4} x^{4} b^{3} + x^{3} b^{2} a + \frac{3}{2} x^{2} b a^{2} + x a^{3}"," ",0,"1/4*x^4*b^3 + x^3*b^2*a + 3/2*x^2*b*a^2 + x*a^3","A",0
6,1,24,0,0.794931," ","integrate(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}}"," ",0,"-1/2/(b^3*x^2 + 2*a*b^2*x + a^2*b)","A",0
7,1,57,0,0.926251," ","integrate(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^2,x, algorithm=""fricas"")","-\frac{1}{5 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}}"," ",0,"-1/5/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b)","B",0
8,1,90,0,1.110330," ","integrate(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^3,x, algorithm=""fricas"")","-\frac{1}{8 \, {\left(b^{9} x^{8} + 8 \, a b^{8} x^{7} + 28 \, a^{2} b^{7} x^{6} + 56 \, a^{3} b^{6} x^{5} + 70 \, a^{4} b^{5} x^{4} + 56 \, a^{5} b^{4} x^{3} + 28 \, a^{6} b^{3} x^{2} + 8 \, a^{7} b^{2} x + a^{8} b\right)}}"," ",0,"-1/8/(b^9*x^8 + 8*a*b^8*x^7 + 28*a^2*b^7*x^6 + 56*a^3*b^6*x^5 + 70*a^4*b^5*x^4 + 56*a^5*b^4*x^3 + 28*a^6*b^3*x^2 + 8*a^7*b^2*x + a^8*b)","B",0
9,1,166,0,0.951292," ","integrate((c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^3,x, algorithm=""fricas"")","\frac{1}{10} x^{10} c^{6} + x^{9} c^{5} b + \frac{9}{2} x^{8} c^{4} b^{2} + \frac{81}{7} x^{7} c^{3} b^{3} + \frac{9}{7} x^{7} c^{4} b a + 18 x^{6} c^{2} b^{4} + 9 x^{6} c^{3} b^{2} a + \frac{81}{5} x^{5} c b^{5} + 27 x^{5} c^{2} b^{3} a + \frac{27}{4} x^{4} b^{6} + \frac{81}{2} x^{4} c b^{4} a + \frac{27}{4} x^{4} c^{2} b^{2} a^{2} + 27 x^{3} b^{5} a + 27 x^{3} c b^{3} a^{2} + \frac{81}{2} x^{2} b^{4} a^{2} + 27 x b^{3} a^{3}"," ",0,"1/10*x^10*c^6 + x^9*c^5*b + 9/2*x^8*c^4*b^2 + 81/7*x^7*c^3*b^3 + 9/7*x^7*c^4*b*a + 18*x^6*c^2*b^4 + 9*x^6*c^3*b^2*a + 81/5*x^5*c*b^5 + 27*x^5*c^2*b^3*a + 27/4*x^4*b^6 + 81/2*x^4*c*b^4*a + 27/4*x^4*c^2*b^2*a^2 + 27*x^3*b^5*a + 27*x^3*c*b^3*a^2 + 81/2*x^2*b^4*a^2 + 27*x*b^3*a^3","B",0
10,1,83,0,0.625645," ","integrate((c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} c^{4} + x^{6} c^{3} b + 3 x^{5} c^{2} b^{2} + \frac{9}{2} x^{4} c b^{3} + \frac{3}{2} x^{4} c^{2} b a + 3 x^{3} b^{4} + 6 x^{3} c b^{2} a + 9 x^{2} b^{3} a + 9 x b^{2} a^{2}"," ",0,"1/7*x^7*c^4 + x^6*c^3*b + 3*x^5*c^2*b^2 + 9/2*x^4*c*b^3 + 3/2*x^4*c^2*b*a + 3*x^3*b^4 + 6*x^3*c*b^2*a + 9*x^2*b^3*a + 9*x*b^2*a^2","A",0
11,1,28,0,0.760052," ","integrate(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b,x, algorithm=""fricas"")","\frac{1}{4} x^{4} c^{2} + x^{3} c b + \frac{3}{2} x^{2} b^{2} + 3 x b a"," ",0,"1/4*x^4*c^2 + x^3*c*b + 3/2*x^2*b^2 + 3*x*b*a","A",0
12,1,387,0,1.108499," ","integrate(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{6}} {\left(b^{3} - 3 \, a b c\right)} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c x + b\right)} + \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}} {\left(b^{3} - 3 \, a b c\right)}}{3 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{5}{6}}}\right) + {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} \log\left(-b^{5} + 3 \, a b^{3} c - {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} x^{2} - 2 \, {\left(b^{4} c - 3 \, a b^{2} c^{2}\right)} x - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c x + b\right)} - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}} {\left(b^{3} - 3 \, a b c\right)}\right) - 2 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} \log\left(-b^{4} + 3 \, a b^{2} c - {\left(b^{3} c - 3 \, a b c^{2}\right)} x + {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}}\right)}{6 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}}"," ",0,"-1/6*(2*sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/6)*(b^3 - 3*a*b*c)*arctan(1/3*(2*sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c*x + b) + sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/3)*(b^3 - 3*a*b*c))/(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(5/6)) + (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*log(-b^5 + 3*a*b^3*c - (b^3*c^2 - 3*a*b*c^3)*x^2 - 2*(b^4*c - 3*a*b^2*c^2)*x - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c*x + b) - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/3)*(b^3 - 3*a*b*c)) - 2*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*log(-b^4 + 3*a*b^2*c - (b^3*c - 3*a*b*c^2)*x + (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)))/(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)","B",0
13,1,704,0,1.104419," ","integrate(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2,x, algorithm=""fricas"")","-\frac{3 \, b^{7} - 18 \, a b^{5} c + 27 \, a^{2} b^{3} c^{2} - 2 \, \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{6}} {\left(3 \, a b^{4} c - 9 \, a^{2} b^{2} c^{2} + {\left(b^{3} c^{3} - 3 \, a b c^{4}\right)} x^{3} + 3 \, {\left(b^{4} c^{2} - 3 \, a b^{2} c^{3}\right)} x^{2} + 3 \, {\left(b^{5} c - 3 \, a b^{3} c^{2}\right)} x\right)} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c x + b\right)} + \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}} {\left(b^{3} - 3 \, a b c\right)}}{3 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{5}{6}}}\right) - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c^{3} x^{3} + 3 \, b c^{2} x^{2} + 3 \, b^{2} c x + 3 \, a b c\right)} \log\left(-b^{5} + 3 \, a b^{3} c - {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} x^{2} - 2 \, {\left(b^{4} c - 3 \, a b^{2} c^{2}\right)} x - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c x + b\right)} - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}} {\left(b^{3} - 3 \, a b c\right)}\right) + 2 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c^{3} x^{3} + 3 \, b c^{2} x^{2} + 3 \, b^{2} c x + 3 \, a b c\right)} \log\left(-b^{4} + 3 \, a b^{2} c - {\left(b^{3} c - 3 \, a b c^{2}\right)} x + {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}}\right) + 3 \, {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3}\right)} x}{9 \, {\left(3 \, a b^{10} - 27 \, a^{2} b^{8} c + 81 \, a^{3} b^{6} c^{2} - 81 \, a^{4} b^{4} c^{3} + {\left(b^{9} c^{2} - 9 \, a b^{7} c^{3} + 27 \, a^{2} b^{5} c^{4} - 27 \, a^{3} b^{3} c^{5}\right)} x^{3} + 3 \, {\left(b^{10} c - 9 \, a b^{8} c^{2} + 27 \, a^{2} b^{6} c^{3} - 27 \, a^{3} b^{4} c^{4}\right)} x^{2} + 3 \, {\left(b^{11} - 9 \, a b^{9} c + 27 \, a^{2} b^{7} c^{2} - 27 \, a^{3} b^{5} c^{3}\right)} x\right)}}"," ",0,"-1/9*(3*b^7 - 18*a*b^5*c + 27*a^2*b^3*c^2 - 2*sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/6)*(3*a*b^4*c - 9*a^2*b^2*c^2 + (b^3*c^3 - 3*a*b*c^4)*x^3 + 3*(b^4*c^2 - 3*a*b^2*c^3)*x^2 + 3*(b^5*c - 3*a*b^3*c^2)*x)*arctan(1/3*(2*sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c*x + b) + sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/3)*(b^3 - 3*a*b*c))/(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(5/6)) - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c^3*x^3 + 3*b*c^2*x^2 + 3*b^2*c*x + 3*a*b*c)*log(-b^5 + 3*a*b^3*c - (b^3*c^2 - 3*a*b*c^3)*x^2 - 2*(b^4*c - 3*a*b^2*c^2)*x - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c*x + b) - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/3)*(b^3 - 3*a*b*c)) + 2*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c^3*x^3 + 3*b*c^2*x^2 + 3*b^2*c*x + 3*a*b*c)*log(-b^4 + 3*a*b^2*c - (b^3*c - 3*a*b*c^2)*x + (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)) + 3*(b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3)*x)/(3*a*b^10 - 27*a^2*b^8*c + 81*a^3*b^6*c^2 - 81*a^4*b^4*c^3 + (b^9*c^2 - 9*a*b^7*c^3 + 27*a^2*b^5*c^4 - 27*a^3*b^3*c^5)*x^3 + 3*(b^10*c - 9*a*b^8*c^2 + 27*a^2*b^6*c^3 - 27*a^3*b^4*c^4)*x^2 + 3*(b^11 - 9*a*b^9*c + 27*a^2*b^7*c^2 - 27*a^3*b^5*c^3)*x)","B",0
14,1,1268,0,1.172571," ","integrate(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^3,x, algorithm=""fricas"")","-\frac{9 \, b^{10} - 126 \, a b^{8} c + 513 \, a^{2} b^{6} c^{2} - 648 \, a^{3} b^{4} c^{3} - 15 \, {\left(b^{6} c^{4} - 6 \, a b^{4} c^{5} + 9 \, a^{2} b^{2} c^{6}\right)} x^{4} - 60 \, {\left(b^{7} c^{3} - 6 \, a b^{5} c^{4} + 9 \, a^{2} b^{3} c^{5}\right)} x^{3} - 90 \, {\left(b^{8} c^{2} - 6 \, a b^{6} c^{3} + 9 \, a^{2} b^{4} c^{4}\right)} x^{2} + 10 \, \sqrt{3} {\left(9 \, a^{2} b^{5} c^{2} - 27 \, a^{3} b^{3} c^{3} + {\left(b^{3} c^{6} - 3 \, a b c^{7}\right)} x^{6} + 6 \, {\left(b^{4} c^{5} - 3 \, a b^{2} c^{6}\right)} x^{5} + 15 \, {\left(b^{5} c^{4} - 3 \, a b^{3} c^{5}\right)} x^{4} + 6 \, {\left(3 \, b^{6} c^{3} - 8 \, a b^{4} c^{4} - 3 \, a^{2} b^{2} c^{5}\right)} x^{3} + 9 \, {\left(b^{7} c^{2} - a b^{5} c^{3} - 6 \, a^{2} b^{3} c^{4}\right)} x^{2} + 18 \, {\left(a b^{6} c^{2} - 3 \, a^{2} b^{4} c^{3}\right)} x\right)} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c x + b\right)} + \sqrt{3} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}} {\left(b^{3} - 3 \, a b c\right)}}{3 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{5}{6}}}\right) + 5 \, {\left(c^{6} x^{6} + 6 \, b c^{5} x^{5} + 15 \, b^{2} c^{4} x^{4} + 18 \, a b^{3} c^{2} x + 9 \, a^{2} b^{2} c^{2} + 6 \, {\left(3 \, b^{3} c^{3} + a b c^{4}\right)} x^{3} + 9 \, {\left(b^{4} c^{2} + 2 \, a b^{2} c^{3}\right)} x^{2}\right)} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} \log\left(-b^{5} + 3 \, a b^{3} c - {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} x^{2} - 2 \, {\left(b^{4} c - 3 \, a b^{2} c^{2}\right)} x - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} {\left(c x + b\right)} - {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}} {\left(b^{3} - 3 \, a b c\right)}\right) - 10 \, {\left(c^{6} x^{6} + 6 \, b c^{5} x^{5} + 15 \, b^{2} c^{4} x^{4} + 18 \, a b^{3} c^{2} x + 9 \, a^{2} b^{2} c^{2} + 6 \, {\left(3 \, b^{3} c^{3} + a b c^{4}\right)} x^{3} + 9 \, {\left(b^{4} c^{2} + 2 \, a b^{2} c^{3}\right)} x^{2}\right)} {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}} \log\left(-b^{4} + 3 \, a b^{2} c - {\left(b^{3} c - 3 \, a b c^{2}\right)} x + {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{2}{3}}\right) - 36 \, {\left(b^{9} c - 4 \, a b^{7} c^{2} - 3 \, a^{2} b^{5} c^{3} + 18 \, a^{3} b^{3} c^{4}\right)} x}{54 \, {\left(9 \, a^{2} b^{14} - 108 \, a^{3} b^{12} c + 486 \, a^{4} b^{10} c^{2} - 972 \, a^{5} b^{8} c^{3} + 729 \, a^{6} b^{6} c^{4} + {\left(b^{12} c^{4} - 12 \, a b^{10} c^{5} + 54 \, a^{2} b^{8} c^{6} - 108 \, a^{3} b^{6} c^{7} + 81 \, a^{4} b^{4} c^{8}\right)} x^{6} + 6 \, {\left(b^{13} c^{3} - 12 \, a b^{11} c^{4} + 54 \, a^{2} b^{9} c^{5} - 108 \, a^{3} b^{7} c^{6} + 81 \, a^{4} b^{5} c^{7}\right)} x^{5} + 15 \, {\left(b^{14} c^{2} - 12 \, a b^{12} c^{3} + 54 \, a^{2} b^{10} c^{4} - 108 \, a^{3} b^{8} c^{5} + 81 \, a^{4} b^{6} c^{6}\right)} x^{4} + 6 \, {\left(3 \, b^{15} c - 35 \, a b^{13} c^{2} + 150 \, a^{2} b^{11} c^{3} - 270 \, a^{3} b^{9} c^{4} + 135 \, a^{4} b^{7} c^{5} + 81 \, a^{5} b^{5} c^{6}\right)} x^{3} + 9 \, {\left(b^{16} - 10 \, a b^{14} c + 30 \, a^{2} b^{12} c^{2} - 135 \, a^{4} b^{8} c^{4} + 162 \, a^{5} b^{6} c^{5}\right)} x^{2} + 18 \, {\left(a b^{15} - 12 \, a^{2} b^{13} c + 54 \, a^{3} b^{11} c^{2} - 108 \, a^{4} b^{9} c^{3} + 81 \, a^{5} b^{7} c^{4}\right)} x\right)}}"," ",0,"-1/54*(9*b^10 - 126*a*b^8*c + 513*a^2*b^6*c^2 - 648*a^3*b^4*c^3 - 15*(b^6*c^4 - 6*a*b^4*c^5 + 9*a^2*b^2*c^6)*x^4 - 60*(b^7*c^3 - 6*a*b^5*c^4 + 9*a^2*b^3*c^5)*x^3 - 90*(b^8*c^2 - 6*a*b^6*c^3 + 9*a^2*b^4*c^4)*x^2 + 10*sqrt(3)*(9*a^2*b^5*c^2 - 27*a^3*b^3*c^3 + (b^3*c^6 - 3*a*b*c^7)*x^6 + 6*(b^4*c^5 - 3*a*b^2*c^6)*x^5 + 15*(b^5*c^4 - 3*a*b^3*c^5)*x^4 + 6*(3*b^6*c^3 - 8*a*b^4*c^4 - 3*a^2*b^2*c^5)*x^3 + 9*(b^7*c^2 - a*b^5*c^3 - 6*a^2*b^3*c^4)*x^2 + 18*(a*b^6*c^2 - 3*a^2*b^4*c^3)*x)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/6)*arctan(1/3*(2*sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c*x + b) + sqrt(3)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/3)*(b^3 - 3*a*b*c))/(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(5/6)) + 5*(c^6*x^6 + 6*b*c^5*x^5 + 15*b^2*c^4*x^4 + 18*a*b^3*c^2*x + 9*a^2*b^2*c^2 + 6*(3*b^3*c^3 + a*b*c^4)*x^3 + 9*(b^4*c^2 + 2*a*b^2*c^3)*x^2)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*log(-b^5 + 3*a*b^3*c - (b^3*c^2 - 3*a*b*c^3)*x^2 - 2*(b^4*c - 3*a*b^2*c^2)*x - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*(c*x + b) - (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(1/3)*(b^3 - 3*a*b*c)) - 10*(c^6*x^6 + 6*b*c^5*x^5 + 15*b^2*c^4*x^4 + 18*a*b^3*c^2*x + 9*a^2*b^2*c^2 + 6*(3*b^3*c^3 + a*b*c^4)*x^3 + 9*(b^4*c^2 + 2*a*b^2*c^3)*x^2)*(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)*log(-b^4 + 3*a*b^2*c - (b^3*c - 3*a*b*c^2)*x + (b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2)^(2/3)) - 36*(b^9*c - 4*a*b^7*c^2 - 3*a^2*b^5*c^3 + 18*a^3*b^3*c^4)*x)/(9*a^2*b^14 - 108*a^3*b^12*c + 486*a^4*b^10*c^2 - 972*a^5*b^8*c^3 + 729*a^6*b^6*c^4 + (b^12*c^4 - 12*a*b^10*c^5 + 54*a^2*b^8*c^6 - 108*a^3*b^6*c^7 + 81*a^4*b^4*c^8)*x^6 + 6*(b^13*c^3 - 12*a*b^11*c^4 + 54*a^2*b^9*c^5 - 108*a^3*b^7*c^6 + 81*a^4*b^5*c^7)*x^5 + 15*(b^14*c^2 - 12*a*b^12*c^3 + 54*a^2*b^10*c^4 - 108*a^3*b^8*c^5 + 81*a^4*b^6*c^6)*x^4 + 6*(3*b^15*c - 35*a*b^13*c^2 + 150*a^2*b^11*c^3 - 270*a^3*b^9*c^4 + 135*a^4*b^7*c^5 + 81*a^5*b^5*c^6)*x^3 + 9*(b^16 - 10*a*b^14*c + 30*a^2*b^12*c^2 - 135*a^4*b^8*c^4 + 162*a^5*b^6*c^5)*x^2 + 18*(a*b^15 - 12*a^2*b^13*c + 54*a^3*b^11*c^2 - 108*a^4*b^9*c^3 + 81*a^5*b^7*c^4)*x)","B",0
15,1,987,0,0.865225," ","integrate((a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^3,x, algorithm=""fricas"")","\frac{1}{10} x^{10} f^{3} d^{3} b^{3} + \frac{1}{3} x^{9} f^{2} e d^{3} b^{3} + \frac{1}{3} x^{9} f^{3} d^{2} c b^{3} + \frac{1}{3} x^{9} f^{3} d^{3} b^{2} a + \frac{3}{8} x^{8} f e^{2} d^{3} b^{3} + \frac{9}{8} x^{8} f^{2} e d^{2} c b^{3} + \frac{3}{8} x^{8} f^{3} d c^{2} b^{3} + \frac{9}{8} x^{8} f^{2} e d^{3} b^{2} a + \frac{9}{8} x^{8} f^{3} d^{2} c b^{2} a + \frac{3}{8} x^{8} f^{3} d^{3} b a^{2} + \frac{1}{7} x^{7} e^{3} d^{3} b^{3} + \frac{9}{7} x^{7} f e^{2} d^{2} c b^{3} + \frac{9}{7} x^{7} f^{2} e d c^{2} b^{3} + \frac{1}{7} x^{7} f^{3} c^{3} b^{3} + \frac{9}{7} x^{7} f e^{2} d^{3} b^{2} a + \frac{27}{7} x^{7} f^{2} e d^{2} c b^{2} a + \frac{9}{7} x^{7} f^{3} d c^{2} b^{2} a + \frac{9}{7} x^{7} f^{2} e d^{3} b a^{2} + \frac{9}{7} x^{7} f^{3} d^{2} c b a^{2} + \frac{1}{7} x^{7} f^{3} d^{3} a^{3} + \frac{1}{2} x^{6} e^{3} d^{2} c b^{3} + \frac{3}{2} x^{6} f e^{2} d c^{2} b^{3} + \frac{1}{2} x^{6} f^{2} e c^{3} b^{3} + \frac{1}{2} x^{6} e^{3} d^{3} b^{2} a + \frac{9}{2} x^{6} f e^{2} d^{2} c b^{2} a + \frac{9}{2} x^{6} f^{2} e d c^{2} b^{2} a + \frac{1}{2} x^{6} f^{3} c^{3} b^{2} a + \frac{3}{2} x^{6} f e^{2} d^{3} b a^{2} + \frac{9}{2} x^{6} f^{2} e d^{2} c b a^{2} + \frac{3}{2} x^{6} f^{3} d c^{2} b a^{2} + \frac{1}{2} x^{6} f^{2} e d^{3} a^{3} + \frac{1}{2} x^{6} f^{3} d^{2} c a^{3} + \frac{3}{5} x^{5} e^{3} d c^{2} b^{3} + \frac{3}{5} x^{5} f e^{2} c^{3} b^{3} + \frac{9}{5} x^{5} e^{3} d^{2} c b^{2} a + \frac{27}{5} x^{5} f e^{2} d c^{2} b^{2} a + \frac{9}{5} x^{5} f^{2} e c^{3} b^{2} a + \frac{3}{5} x^{5} e^{3} d^{3} b a^{2} + \frac{27}{5} x^{5} f e^{2} d^{2} c b a^{2} + \frac{27}{5} x^{5} f^{2} e d c^{2} b a^{2} + \frac{3}{5} x^{5} f^{3} c^{3} b a^{2} + \frac{3}{5} x^{5} f e^{2} d^{3} a^{3} + \frac{9}{5} x^{5} f^{2} e d^{2} c a^{3} + \frac{3}{5} x^{5} f^{3} d c^{2} a^{3} + \frac{1}{4} x^{4} e^{3} c^{3} b^{3} + \frac{9}{4} x^{4} e^{3} d c^{2} b^{2} a + \frac{9}{4} x^{4} f e^{2} c^{3} b^{2} a + \frac{9}{4} x^{4} e^{3} d^{2} c b a^{2} + \frac{27}{4} x^{4} f e^{2} d c^{2} b a^{2} + \frac{9}{4} x^{4} f^{2} e c^{3} b a^{2} + \frac{1}{4} x^{4} e^{3} d^{3} a^{3} + \frac{9}{4} x^{4} f e^{2} d^{2} c a^{3} + \frac{9}{4} x^{4} f^{2} e d c^{2} a^{3} + \frac{1}{4} x^{4} f^{3} c^{3} a^{3} + x^{3} e^{3} c^{3} b^{2} a + 3 x^{3} e^{3} d c^{2} b a^{2} + 3 x^{3} f e^{2} c^{3} b a^{2} + x^{3} e^{3} d^{2} c a^{3} + 3 x^{3} f e^{2} d c^{2} a^{3} + x^{3} f^{2} e c^{3} a^{3} + \frac{3}{2} x^{2} e^{3} c^{3} b a^{2} + \frac{3}{2} x^{2} e^{3} d c^{2} a^{3} + \frac{3}{2} x^{2} f e^{2} c^{3} a^{3} + x e^{3} c^{3} a^{3}"," ",0,"1/10*x^10*f^3*d^3*b^3 + 1/3*x^9*f^2*e*d^3*b^3 + 1/3*x^9*f^3*d^2*c*b^3 + 1/3*x^9*f^3*d^3*b^2*a + 3/8*x^8*f*e^2*d^3*b^3 + 9/8*x^8*f^2*e*d^2*c*b^3 + 3/8*x^8*f^3*d*c^2*b^3 + 9/8*x^8*f^2*e*d^3*b^2*a + 9/8*x^8*f^3*d^2*c*b^2*a + 3/8*x^8*f^3*d^3*b*a^2 + 1/7*x^7*e^3*d^3*b^3 + 9/7*x^7*f*e^2*d^2*c*b^3 + 9/7*x^7*f^2*e*d*c^2*b^3 + 1/7*x^7*f^3*c^3*b^3 + 9/7*x^7*f*e^2*d^3*b^2*a + 27/7*x^7*f^2*e*d^2*c*b^2*a + 9/7*x^7*f^3*d*c^2*b^2*a + 9/7*x^7*f^2*e*d^3*b*a^2 + 9/7*x^7*f^3*d^2*c*b*a^2 + 1/7*x^7*f^3*d^3*a^3 + 1/2*x^6*e^3*d^2*c*b^3 + 3/2*x^6*f*e^2*d*c^2*b^3 + 1/2*x^6*f^2*e*c^3*b^3 + 1/2*x^6*e^3*d^3*b^2*a + 9/2*x^6*f*e^2*d^2*c*b^2*a + 9/2*x^6*f^2*e*d*c^2*b^2*a + 1/2*x^6*f^3*c^3*b^2*a + 3/2*x^6*f*e^2*d^3*b*a^2 + 9/2*x^6*f^2*e*d^2*c*b*a^2 + 3/2*x^6*f^3*d*c^2*b*a^2 + 1/2*x^6*f^2*e*d^3*a^3 + 1/2*x^6*f^3*d^2*c*a^3 + 3/5*x^5*e^3*d*c^2*b^3 + 3/5*x^5*f*e^2*c^3*b^3 + 9/5*x^5*e^3*d^2*c*b^2*a + 27/5*x^5*f*e^2*d*c^2*b^2*a + 9/5*x^5*f^2*e*c^3*b^2*a + 3/5*x^5*e^3*d^3*b*a^2 + 27/5*x^5*f*e^2*d^2*c*b*a^2 + 27/5*x^5*f^2*e*d*c^2*b*a^2 + 3/5*x^5*f^3*c^3*b*a^2 + 3/5*x^5*f*e^2*d^3*a^3 + 9/5*x^5*f^2*e*d^2*c*a^3 + 3/5*x^5*f^3*d*c^2*a^3 + 1/4*x^4*e^3*c^3*b^3 + 9/4*x^4*e^3*d*c^2*b^2*a + 9/4*x^4*f*e^2*c^3*b^2*a + 9/4*x^4*e^3*d^2*c*b*a^2 + 27/4*x^4*f*e^2*d*c^2*b*a^2 + 9/4*x^4*f^2*e*c^3*b*a^2 + 1/4*x^4*e^3*d^3*a^3 + 9/4*x^4*f*e^2*d^2*c*a^3 + 9/4*x^4*f^2*e*d*c^2*a^3 + 1/4*x^4*f^3*c^3*a^3 + x^3*e^3*c^3*b^2*a + 3*x^3*e^3*d*c^2*b*a^2 + 3*x^3*f*e^2*c^3*b*a^2 + x^3*e^3*d^2*c*a^3 + 3*x^3*f*e^2*d*c^2*a^3 + x^3*f^2*e*c^3*a^3 + 3/2*x^2*e^3*c^3*b*a^2 + 3/2*x^2*e^3*d*c^2*a^3 + 3/2*x^2*f*e^2*c^3*a^3 + x*e^3*c^3*a^3","B",0
16,1,346,0,0.831763," ","integrate((a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} f^{2} d^{2} b^{2} + \frac{1}{3} x^{6} f e d^{2} b^{2} + \frac{1}{3} x^{6} f^{2} d c b^{2} + \frac{1}{3} x^{6} f^{2} d^{2} b a + \frac{1}{5} x^{5} e^{2} d^{2} b^{2} + \frac{4}{5} x^{5} f e d c b^{2} + \frac{1}{5} x^{5} f^{2} c^{2} b^{2} + \frac{4}{5} x^{5} f e d^{2} b a + \frac{4}{5} x^{5} f^{2} d c b a + \frac{1}{5} x^{5} f^{2} d^{2} a^{2} + \frac{1}{2} x^{4} e^{2} d c b^{2} + \frac{1}{2} x^{4} f e c^{2} b^{2} + \frac{1}{2} x^{4} e^{2} d^{2} b a + 2 x^{4} f e d c b a + \frac{1}{2} x^{4} f^{2} c^{2} b a + \frac{1}{2} x^{4} f e d^{2} a^{2} + \frac{1}{2} x^{4} f^{2} d c a^{2} + \frac{1}{3} x^{3} e^{2} c^{2} b^{2} + \frac{4}{3} x^{3} e^{2} d c b a + \frac{4}{3} x^{3} f e c^{2} b a + \frac{1}{3} x^{3} e^{2} d^{2} a^{2} + \frac{4}{3} x^{3} f e d c a^{2} + \frac{1}{3} x^{3} f^{2} c^{2} a^{2} + x^{2} e^{2} c^{2} b a + x^{2} e^{2} d c a^{2} + x^{2} f e c^{2} a^{2} + x e^{2} c^{2} a^{2}"," ",0,"1/7*x^7*f^2*d^2*b^2 + 1/3*x^6*f*e*d^2*b^2 + 1/3*x^6*f^2*d*c*b^2 + 1/3*x^6*f^2*d^2*b*a + 1/5*x^5*e^2*d^2*b^2 + 4/5*x^5*f*e*d*c*b^2 + 1/5*x^5*f^2*c^2*b^2 + 4/5*x^5*f*e*d^2*b*a + 4/5*x^5*f^2*d*c*b*a + 1/5*x^5*f^2*d^2*a^2 + 1/2*x^4*e^2*d*c*b^2 + 1/2*x^4*f*e*c^2*b^2 + 1/2*x^4*e^2*d^2*b*a + 2*x^4*f*e*d*c*b*a + 1/2*x^4*f^2*c^2*b*a + 1/2*x^4*f*e*d^2*a^2 + 1/2*x^4*f^2*d*c*a^2 + 1/3*x^3*e^2*c^2*b^2 + 4/3*x^3*e^2*d*c*b*a + 4/3*x^3*f*e*c^2*b*a + 1/3*x^3*e^2*d^2*a^2 + 4/3*x^3*f*e*d*c*a^2 + 1/3*x^3*f^2*c^2*a^2 + x^2*e^2*c^2*b*a + x^2*e^2*d*c*a^2 + x^2*f*e*c^2*a^2 + x*e^2*c^2*a^2","A",0
17,1,62,0,0.950692," ","integrate(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3,x, algorithm=""fricas"")","\frac{1}{4} x^{4} f d b + \frac{1}{3} x^{3} e d b + \frac{1}{3} x^{3} f c b + \frac{1}{3} x^{3} f d a + \frac{1}{2} x^{2} e c b + \frac{1}{2} x^{2} e d a + \frac{1}{2} x^{2} f c a + x e c a"," ",0,"1/4*x^4*f*d*b + 1/3*x^3*e*d*b + 1/3*x^3*f*c*b + 1/3*x^3*f*d*a + 1/2*x^2*e*c*b + 1/2*x^2*e*d*a + 1/2*x^2*f*c*a + x*e*c*a","A",0
18,1,112,0,12.864945," ","integrate(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3),x, algorithm=""fricas"")","\frac{{\left(b c - a d\right)} f \log\left(f x + e\right) + {\left(b d e - b c f\right)} \log\left(b x + a\right) - {\left(b d e - a d f\right)} \log\left(d x + c\right)}{{\left(b^{2} c d - a b d^{2}\right)} e^{2} - {\left(b^{2} c^{2} - a^{2} d^{2}\right)} e f + {\left(a b c^{2} - a^{2} c d\right)} f^{2}}"," ",0,"((b*c - a*d)*f*log(f*x + e) + (b*d*e - b*c*f)*log(b*x + a) - (b*d*e - a*d*f)*log(d*x + c))/((b^2*c*d - a*b*d^2)*e^2 - (b^2*c^2 - a^2*d^2)*e*f + (a*b*c^2 - a^2*c*d)*f^2)","A",0
19,-1,0,0,0.000000," ","integrate(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,1,19,0,1.116344," ","integrate(1/(x^3+x^2+x+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x + 1)","A",0
22,1,25,0,1.245044," ","integrate(1/(16*x^3-4*x^2+4*x-1),x, algorithm=""fricas"")","-\frac{1}{10} \, \arctan\left(2 \, x\right) - \frac{1}{10} \, \log\left(4 \, x^{2} + 1\right) + \frac{1}{5} \, \log\left(4 \, x - 1\right)"," ",0,"-1/10*arctan(2*x) - 1/10*log(4*x^2 + 1) + 1/5*log(4*x - 1)","A",0
23,1,8,0,0.814685," ","integrate(1/d/x^3,x, algorithm=""fricas"")","-\frac{1}{2 \, d x^{2}}"," ",0,"-1/2/(d*x^2)","A",0
24,1,26,0,0.568820," ","integrate(1/(d*x^3+c*x^2),x, algorithm=""fricas"")","\frac{d x \log\left(d x + c\right) - d x \log\left(x\right) - c}{c^{2} x}"," ",0,"(d*x*log(d*x + c) - d*x*log(x) - c)/(c^2*x)","A",0
25,1,18,0,0.868677," ","integrate(1/(d*x^3+b*x),x, algorithm=""fricas"")","-\frac{\log\left(d x^{2} + b\right) - 2 \, \log\left(x\right)}{2 \, b}"," ",0,"-1/2*(log(d*x^2 + b) - 2*log(x))/b","A",0
26,1,211,0,1.126494," ","integrate(1/(d*x^3+c*x^2+b*x),x, algorithm=""fricas"")","\left[\frac{\sqrt{c^{2} - 4 \, b d} c \log\left(\frac{2 \, d^{2} x^{2} + 2 \, c d x + c^{2} - 2 \, b d + \sqrt{c^{2} - 4 \, b d} {\left(2 \, d x + c\right)}}{d x^{2} + c x + b}\right) - {\left(c^{2} - 4 \, b d\right)} \log\left(d x^{2} + c x + b\right) + 2 \, {\left(c^{2} - 4 \, b d\right)} \log\left(x\right)}{2 \, {\left(b c^{2} - 4 \, b^{2} d\right)}}, \frac{2 \, \sqrt{-c^{2} + 4 \, b d} c \arctan\left(-\frac{\sqrt{-c^{2} + 4 \, b d} {\left(2 \, d x + c\right)}}{c^{2} - 4 \, b d}\right) - {\left(c^{2} - 4 \, b d\right)} \log\left(d x^{2} + c x + b\right) + 2 \, {\left(c^{2} - 4 \, b d\right)} \log\left(x\right)}{2 \, {\left(b c^{2} - 4 \, b^{2} d\right)}}\right]"," ",0,"[1/2*(sqrt(c^2 - 4*b*d)*c*log((2*d^2*x^2 + 2*c*d*x + c^2 - 2*b*d + sqrt(c^2 - 4*b*d)*(2*d*x + c))/(d*x^2 + c*x + b)) - (c^2 - 4*b*d)*log(d*x^2 + c*x + b) + 2*(c^2 - 4*b*d)*log(x))/(b*c^2 - 4*b^2*d), 1/2*(2*sqrt(-c^2 + 4*b*d)*c*arctan(-sqrt(-c^2 + 4*b*d)*(2*d*x + c)/(c^2 - 4*b*d)) - (c^2 - 4*b*d)*log(d*x^2 + c*x + b) + 2*(c^2 - 4*b*d)*log(x))/(b*c^2 - 4*b^2*d)]","A",0
27,1,299,0,0.544448," ","integrate(1/(d*x^3+a),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a d \sqrt{-\frac{\left(a^{2} d\right)^{\frac{1}{3}}}{d}} \log\left(\frac{2 \, a d x^{3} - 3 \, \left(a^{2} d\right)^{\frac{1}{3}} a x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a d x^{2} + \left(a^{2} d\right)^{\frac{2}{3}} x - \left(a^{2} d\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} d\right)^{\frac{1}{3}}}{d}}}{d x^{3} + a}\right) - \left(a^{2} d\right)^{\frac{2}{3}} \log\left(a d x^{2} - \left(a^{2} d\right)^{\frac{2}{3}} x + \left(a^{2} d\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} d\right)^{\frac{2}{3}} \log\left(a d x + \left(a^{2} d\right)^{\frac{2}{3}}\right)}{6 \, a^{2} d}, \frac{6 \, \sqrt{\frac{1}{3}} a d \sqrt{\frac{\left(a^{2} d\right)^{\frac{1}{3}}}{d}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} d\right)^{\frac{2}{3}} x - \left(a^{2} d\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} d\right)^{\frac{1}{3}}}{d}}}{a^{2}}\right) - \left(a^{2} d\right)^{\frac{2}{3}} \log\left(a d x^{2} - \left(a^{2} d\right)^{\frac{2}{3}} x + \left(a^{2} d\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} d\right)^{\frac{2}{3}} \log\left(a d x + \left(a^{2} d\right)^{\frac{2}{3}}\right)}{6 \, a^{2} d}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*d*sqrt(-(a^2*d)^(1/3)/d)*log((2*a*d*x^3 - 3*(a^2*d)^(1/3)*a*x - a^2 + 3*sqrt(1/3)*(2*a*d*x^2 + (a^2*d)^(2/3)*x - (a^2*d)^(1/3)*a)*sqrt(-(a^2*d)^(1/3)/d))/(d*x^3 + a)) - (a^2*d)^(2/3)*log(a*d*x^2 - (a^2*d)^(2/3)*x + (a^2*d)^(1/3)*a) + 2*(a^2*d)^(2/3)*log(a*d*x + (a^2*d)^(2/3)))/(a^2*d), 1/6*(6*sqrt(1/3)*a*d*sqrt((a^2*d)^(1/3)/d)*arctan(sqrt(1/3)*(2*(a^2*d)^(2/3)*x - (a^2*d)^(1/3)*a)*sqrt((a^2*d)^(1/3)/d)/a^2) - (a^2*d)^(2/3)*log(a*d*x^2 - (a^2*d)^(2/3)*x + (a^2*d)^(1/3)*a) + 2*(a^2*d)^(2/3)*log(a*d*x + (a^2*d)^(2/3)))/(a^2*d)]","A",0
28,1,16,0,1.168144," ","integrate((d*x^3)^n,x, algorithm=""fricas"")","\frac{\left(d x^{3}\right)^{n} x}{3 \, n + 1}"," ",0,"(d*x^3)^n*x/(3*n + 1)","A",0
29,0,0,0,0.926427," ","integrate((d*x^3+c*x^2)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x^{3} + c x^{2}\right)}^{n}, x\right)"," ",0,"integral((d*x^3 + c*x^2)^n, x)","F",0
30,0,0,0,0.864190," ","integrate((d*x^3+b*x)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x^{3} + b x\right)}^{n}, x\right)"," ",0,"integral((d*x^3 + b*x)^n, x)","F",0
31,0,0,0,0.786052," ","integrate((d*x^3+c*x^2+b*x)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x^{3} + c x^{2} + b x\right)}^{n}, x\right)"," ",0,"integral((d*x^3 + c*x^2 + b*x)^n, x)","F",0
32,0,0,0,0.694985," ","integrate((d*x^3+a)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x^{3} + a\right)}^{n}, x\right)"," ",0,"integral((d*x^3 + a)^n, x)","F",0
33,1,277,0,0.759582," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^4,x, algorithm=""fricas"")","\frac{1}{17} x^{17} d^{8} + x^{16} d^{7} c + \frac{112}{15} x^{15} d^{6} c^{2} + 32 x^{14} d^{5} c^{3} + \frac{1120}{13} x^{13} d^{4} c^{4} + \frac{16}{13} x^{13} d^{6} c a + \frac{448}{3} x^{12} d^{3} c^{5} + 16 x^{12} d^{5} c^{2} a + \frac{1792}{11} x^{11} d^{2} c^{6} + \frac{960}{11} x^{11} d^{4} c^{3} a + \frac{512}{5} x^{10} d c^{7} + 256 x^{10} d^{3} c^{4} a + \frac{256}{9} x^{9} c^{8} + \frac{1280}{3} x^{9} d^{2} c^{5} a + \frac{32}{3} x^{9} d^{4} c^{2} a^{2} + 384 x^{8} d c^{6} a + 96 x^{8} d^{3} c^{3} a^{2} + \frac{1024}{7} x^{7} c^{7} a + \frac{2304}{7} x^{7} d^{2} c^{4} a^{2} + 512 x^{6} d c^{5} a^{2} + \frac{1536}{5} x^{5} c^{6} a^{2} + \frac{256}{5} x^{5} d^{2} c^{3} a^{3} + 256 x^{4} d c^{4} a^{3} + \frac{1024}{3} x^{3} c^{5} a^{3} + 256 x c^{4} a^{4}"," ",0,"1/17*x^17*d^8 + x^16*d^7*c + 112/15*x^15*d^6*c^2 + 32*x^14*d^5*c^3 + 1120/13*x^13*d^4*c^4 + 16/13*x^13*d^6*c*a + 448/3*x^12*d^3*c^5 + 16*x^12*d^5*c^2*a + 1792/11*x^11*d^2*c^6 + 960/11*x^11*d^4*c^3*a + 512/5*x^10*d*c^7 + 256*x^10*d^3*c^4*a + 256/9*x^9*c^8 + 1280/3*x^9*d^2*c^5*a + 32/3*x^9*d^4*c^2*a^2 + 384*x^8*d*c^6*a + 96*x^8*d^3*c^3*a^2 + 1024/7*x^7*c^7*a + 2304/7*x^7*d^2*c^4*a^2 + 512*x^6*d*c^5*a^2 + 1536/5*x^5*c^6*a^2 + 256/5*x^5*d^2*c^3*a^3 + 256*x^4*d*c^4*a^3 + 1024/3*x^3*c^5*a^3 + 256*x*c^4*a^4","A",0
34,1,166,0,0.744222," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^3,x, algorithm=""fricas"")","\frac{1}{13} x^{13} d^{6} + x^{12} d^{5} c + \frac{60}{11} x^{11} d^{4} c^{2} + 16 x^{10} d^{3} c^{3} + \frac{80}{3} x^{9} d^{2} c^{4} + \frac{4}{3} x^{9} d^{4} c a + 24 x^{8} d c^{5} + 12 x^{8} d^{3} c^{2} a + \frac{64}{7} x^{7} c^{6} + \frac{288}{7} x^{7} d^{2} c^{3} a + 64 x^{6} d c^{4} a + \frac{192}{5} x^{5} c^{5} a + \frac{48}{5} x^{5} d^{2} c^{2} a^{2} + 48 x^{4} d c^{3} a^{2} + 64 x^{3} c^{4} a^{2} + 64 x c^{3} a^{3}"," ",0,"1/13*x^13*d^6 + x^12*d^5*c + 60/11*x^11*d^4*c^2 + 16*x^10*d^3*c^3 + 80/3*x^9*d^2*c^4 + 4/3*x^9*d^4*c*a + 24*x^8*d*c^5 + 12*x^8*d^3*c^2*a + 64/7*x^7*c^6 + 288/7*x^7*d^2*c^3*a + 64*x^6*d*c^4*a + 192/5*x^5*c^5*a + 48/5*x^5*d^2*c^2*a^2 + 48*x^4*d*c^3*a^2 + 64*x^3*c^4*a^2 + 64*x*c^3*a^3","A",0
35,1,83,0,0.536534," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} d^{4} + x^{8} d^{3} c + \frac{24}{7} x^{7} d^{2} c^{2} + \frac{16}{3} x^{6} d c^{3} + \frac{16}{5} x^{5} c^{4} + \frac{8}{5} x^{5} d^{2} c a + 8 x^{4} d c^{2} a + \frac{32}{3} x^{3} c^{3} a + 16 x c^{2} a^{2}"," ",0,"1/9*x^9*d^4 + x^8*d^3*c + 24/7*x^7*d^2*c^2 + 16/3*x^6*d*c^3 + 16/5*x^5*c^4 + 8/5*x^5*d^2*c*a + 8*x^4*d*c^2*a + 32/3*x^3*c^3*a + 16*x*c^2*a^2","A",0
36,1,28,0,0.463317," ","integrate(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c,x, algorithm=""fricas"")","\frac{1}{5} x^{5} d^{2} + x^{4} d c + \frac{4}{3} x^{3} c^{2} + 4 x c a"," ",0,"1/5*x^5*d^2 + x^4*d*c + 4/3*x^3*c^2 + 4*x*c*a","A",0
37,1,905,0,0.735243," ","integrate(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{-\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} + 1}{a c^{3} + 4 \, a^{2} d^{2}}} \log\left(d^{2} x + c d + {\left(2 \, a c d^{2} + {\left(a c^{7} + 4 \, a^{2} c^{4} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}}\right)} \sqrt{-\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} + 1}{a c^{3} + 4 \, a^{2} d^{2}}}\right) - \frac{1}{8} \, \sqrt{-\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} + 1}{a c^{3} + 4 \, a^{2} d^{2}}} \log\left(d^{2} x + c d - {\left(2 \, a c d^{2} + {\left(a c^{7} + 4 \, a^{2} c^{4} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}}\right)} \sqrt{-\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} + 1}{a c^{3} + 4 \, a^{2} d^{2}}}\right) + \frac{1}{8} \, \sqrt{\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} - 1}{a c^{3} + 4 \, a^{2} d^{2}}} \log\left(d^{2} x + c d + {\left(2 \, a c d^{2} - {\left(a c^{7} + 4 \, a^{2} c^{4} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}}\right)} \sqrt{\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} - 1}{a c^{3} + 4 \, a^{2} d^{2}}}\right) - \frac{1}{8} \, \sqrt{\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} - 1}{a c^{3} + 4 \, a^{2} d^{2}}} \log\left(d^{2} x + c d - {\left(2 \, a c d^{2} - {\left(a c^{7} + 4 \, a^{2} c^{4} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}}\right)} \sqrt{\frac{2 \, {\left(a c^{3} + 4 \, a^{2} d^{2}\right)} \sqrt{-\frac{d^{2}}{a c^{9} + 8 \, a^{2} c^{6} d^{2} + 16 \, a^{3} c^{3} d^{4}}} - 1}{a c^{3} + 4 \, a^{2} d^{2}}}\right)"," ",0,"1/8*sqrt(-(2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) + 1)/(a*c^3 + 4*a^2*d^2))*log(d^2*x + c*d + (2*a*c*d^2 + (a*c^7 + 4*a^2*c^4*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)))*sqrt(-(2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) + 1)/(a*c^3 + 4*a^2*d^2))) - 1/8*sqrt(-(2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) + 1)/(a*c^3 + 4*a^2*d^2))*log(d^2*x + c*d - (2*a*c*d^2 + (a*c^7 + 4*a^2*c^4*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)))*sqrt(-(2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) + 1)/(a*c^3 + 4*a^2*d^2))) + 1/8*sqrt((2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) - 1)/(a*c^3 + 4*a^2*d^2))*log(d^2*x + c*d + (2*a*c*d^2 - (a*c^7 + 4*a^2*c^4*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)))*sqrt((2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) - 1)/(a*c^3 + 4*a^2*d^2))) - 1/8*sqrt((2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) - 1)/(a*c^3 + 4*a^2*d^2))*log(d^2*x + c*d - (2*a*c*d^2 - (a*c^7 + 4*a^2*c^4*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)))*sqrt((2*(a*c^3 + 4*a^2*d^2)*sqrt(-d^2/(a*c^9 + 8*a^2*c^6*d^2 + 16*a^3*c^3*d^4)) - 1)/(a*c^3 + 4*a^2*d^2)))","B",0
38,1,3222,0,1.088268," ","integrate(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x, algorithm=""fricas"")","\frac{4 \, c d^{2} x^{3} + 12 \, c^{2} d x^{2} + 16 \, a c d + {\left(4 \, a^{2} c^{5} + 16 \, a^{3} c^{2} d^{2} + {\left(a c^{4} d^{2} + 4 \, a^{2} c d^{4}\right)} x^{4} + 4 \, {\left(a c^{5} d + 4 \, a^{2} c^{2} d^{3}\right)} x^{3} + 4 \, {\left(a c^{6} + 4 \, a^{2} c^{3} d^{2}\right)} x^{2}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} + 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}} \log\left(5 \, c^{7} d^{3} + 81 \, a c^{4} d^{5} + 324 \, a^{2} c d^{7} + {\left(5 \, c^{6} d^{4} + 81 \, a c^{3} d^{6} + 324 \, a^{2} d^{8}\right)} x + {\left(5 \, a^{2} c^{8} d^{4} + 96 \, a^{3} c^{5} d^{6} + 432 \, a^{4} c^{2} d^{8} + {\left(a^{3} c^{19} + 20 \, a^{4} c^{16} d^{2} + 144 \, a^{5} c^{13} d^{4} + 448 \, a^{6} c^{10} d^{6} + 512 \, a^{7} c^{7} d^{8}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} + 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}}\right) - {\left(4 \, a^{2} c^{5} + 16 \, a^{3} c^{2} d^{2} + {\left(a c^{4} d^{2} + 4 \, a^{2} c d^{4}\right)} x^{4} + 4 \, {\left(a c^{5} d + 4 \, a^{2} c^{2} d^{3}\right)} x^{3} + 4 \, {\left(a c^{6} + 4 \, a^{2} c^{3} d^{2}\right)} x^{2}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} + 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}} \log\left(5 \, c^{7} d^{3} + 81 \, a c^{4} d^{5} + 324 \, a^{2} c d^{7} + {\left(5 \, c^{6} d^{4} + 81 \, a c^{3} d^{6} + 324 \, a^{2} d^{8}\right)} x - {\left(5 \, a^{2} c^{8} d^{4} + 96 \, a^{3} c^{5} d^{6} + 432 \, a^{4} c^{2} d^{8} + {\left(a^{3} c^{19} + 20 \, a^{4} c^{16} d^{2} + 144 \, a^{5} c^{13} d^{4} + 448 \, a^{6} c^{10} d^{6} + 512 \, a^{7} c^{7} d^{8}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} + 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}}\right) + {\left(4 \, a^{2} c^{5} + 16 \, a^{3} c^{2} d^{2} + {\left(a c^{4} d^{2} + 4 \, a^{2} c d^{4}\right)} x^{4} + 4 \, {\left(a c^{5} d + 4 \, a^{2} c^{2} d^{3}\right)} x^{3} + 4 \, {\left(a c^{6} + 4 \, a^{2} c^{3} d^{2}\right)} x^{2}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} - 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}} \log\left(5 \, c^{7} d^{3} + 81 \, a c^{4} d^{5} + 324 \, a^{2} c d^{7} + {\left(5 \, c^{6} d^{4} + 81 \, a c^{3} d^{6} + 324 \, a^{2} d^{8}\right)} x + {\left(5 \, a^{2} c^{8} d^{4} + 96 \, a^{3} c^{5} d^{6} + 432 \, a^{4} c^{2} d^{8} - {\left(a^{3} c^{19} + 20 \, a^{4} c^{16} d^{2} + 144 \, a^{5} c^{13} d^{4} + 448 \, a^{6} c^{10} d^{6} + 512 \, a^{7} c^{7} d^{8}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} - 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}}\right) - {\left(4 \, a^{2} c^{5} + 16 \, a^{3} c^{2} d^{2} + {\left(a c^{4} d^{2} + 4 \, a^{2} c d^{4}\right)} x^{4} + 4 \, {\left(a c^{5} d + 4 \, a^{2} c^{2} d^{3}\right)} x^{3} + 4 \, {\left(a c^{6} + 4 \, a^{2} c^{3} d^{2}\right)} x^{2}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} - 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}} \log\left(5 \, c^{7} d^{3} + 81 \, a c^{4} d^{5} + 324 \, a^{2} c d^{7} + {\left(5 \, c^{6} d^{4} + 81 \, a c^{3} d^{6} + 324 \, a^{2} d^{8}\right)} x - {\left(5 \, a^{2} c^{8} d^{4} + 96 \, a^{3} c^{5} d^{6} + 432 \, a^{4} c^{2} d^{8} - {\left(a^{3} c^{19} + 20 \, a^{4} c^{16} d^{2} + 144 \, a^{5} c^{13} d^{4} + 448 \, a^{6} c^{10} d^{6} + 512 \, a^{7} c^{7} d^{8}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}\right)} \sqrt{-\frac{c^{6} + 15 \, a c^{3} d^{2} + 60 \, a^{2} d^{4} - 2 \, {\left(a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}\right)} \sqrt{-\frac{25 \, c^{6} d^{6} + 360 \, a c^{3} d^{8} + 1296 \, a^{2} d^{10}}{a^{3} c^{25} + 24 \, a^{4} c^{22} d^{2} + 240 \, a^{5} c^{19} d^{4} + 1280 \, a^{6} c^{16} d^{6} + 3840 \, a^{7} c^{13} d^{8} + 6144 \, a^{8} c^{10} d^{10} + 4096 \, a^{9} c^{7} d^{12}}}}{a^{3} c^{11} + 12 \, a^{4} c^{8} d^{2} + 48 \, a^{5} c^{5} d^{4} + 64 \, a^{6} c^{2} d^{6}}}\right) + 8 \, {\left(c^{3} + 2 \, a d^{2}\right)} x}{64 \, {\left(4 \, a^{2} c^{5} + 16 \, a^{3} c^{2} d^{2} + {\left(a c^{4} d^{2} + 4 \, a^{2} c d^{4}\right)} x^{4} + 4 \, {\left(a c^{5} d + 4 \, a^{2} c^{2} d^{3}\right)} x^{3} + 4 \, {\left(a c^{6} + 4 \, a^{2} c^{3} d^{2}\right)} x^{2}\right)}}"," ",0,"1/64*(4*c*d^2*x^3 + 12*c^2*d*x^2 + 16*a*c*d + (4*a^2*c^5 + 16*a^3*c^2*d^2 + (a*c^4*d^2 + 4*a^2*c*d^4)*x^4 + 4*(a*c^5*d + 4*a^2*c^2*d^3)*x^3 + 4*(a*c^6 + 4*a^2*c^3*d^2)*x^2)*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 + 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))*log(5*c^7*d^3 + 81*a*c^4*d^5 + 324*a^2*c*d^7 + (5*c^6*d^4 + 81*a*c^3*d^6 + 324*a^2*d^8)*x + (5*a^2*c^8*d^4 + 96*a^3*c^5*d^6 + 432*a^4*c^2*d^8 + (a^3*c^19 + 20*a^4*c^16*d^2 + 144*a^5*c^13*d^4 + 448*a^6*c^10*d^6 + 512*a^7*c^7*d^8)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 + 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))) - (4*a^2*c^5 + 16*a^3*c^2*d^2 + (a*c^4*d^2 + 4*a^2*c*d^4)*x^4 + 4*(a*c^5*d + 4*a^2*c^2*d^3)*x^3 + 4*(a*c^6 + 4*a^2*c^3*d^2)*x^2)*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 + 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))*log(5*c^7*d^3 + 81*a*c^4*d^5 + 324*a^2*c*d^7 + (5*c^6*d^4 + 81*a*c^3*d^6 + 324*a^2*d^8)*x - (5*a^2*c^8*d^4 + 96*a^3*c^5*d^6 + 432*a^4*c^2*d^8 + (a^3*c^19 + 20*a^4*c^16*d^2 + 144*a^5*c^13*d^4 + 448*a^6*c^10*d^6 + 512*a^7*c^7*d^8)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 + 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))) + (4*a^2*c^5 + 16*a^3*c^2*d^2 + (a*c^4*d^2 + 4*a^2*c*d^4)*x^4 + 4*(a*c^5*d + 4*a^2*c^2*d^3)*x^3 + 4*(a*c^6 + 4*a^2*c^3*d^2)*x^2)*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 - 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))*log(5*c^7*d^3 + 81*a*c^4*d^5 + 324*a^2*c*d^7 + (5*c^6*d^4 + 81*a*c^3*d^6 + 324*a^2*d^8)*x + (5*a^2*c^8*d^4 + 96*a^3*c^5*d^6 + 432*a^4*c^2*d^8 - (a^3*c^19 + 20*a^4*c^16*d^2 + 144*a^5*c^13*d^4 + 448*a^6*c^10*d^6 + 512*a^7*c^7*d^8)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 - 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))) - (4*a^2*c^5 + 16*a^3*c^2*d^2 + (a*c^4*d^2 + 4*a^2*c*d^4)*x^4 + 4*(a*c^5*d + 4*a^2*c^2*d^3)*x^3 + 4*(a*c^6 + 4*a^2*c^3*d^2)*x^2)*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 - 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))*log(5*c^7*d^3 + 81*a*c^4*d^5 + 324*a^2*c*d^7 + (5*c^6*d^4 + 81*a*c^3*d^6 + 324*a^2*d^8)*x - (5*a^2*c^8*d^4 + 96*a^3*c^5*d^6 + 432*a^4*c^2*d^8 - (a^3*c^19 + 20*a^4*c^16*d^2 + 144*a^5*c^13*d^4 + 448*a^6*c^10*d^6 + 512*a^7*c^7*d^8)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))*sqrt(-(c^6 + 15*a*c^3*d^2 + 60*a^2*d^4 - 2*(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6)*sqrt(-(25*c^6*d^6 + 360*a*c^3*d^8 + 1296*a^2*d^10)/(a^3*c^25 + 24*a^4*c^22*d^2 + 240*a^5*c^19*d^4 + 1280*a^6*c^16*d^6 + 3840*a^7*c^13*d^8 + 6144*a^8*c^10*d^10 + 4096*a^9*c^7*d^12)))/(a^3*c^11 + 12*a^4*c^8*d^2 + 48*a^5*c^5*d^4 + 64*a^6*c^2*d^6))) + 8*(c^3 + 2*a*d^2)*x)/(4*a^2*c^5 + 16*a^3*c^2*d^2 + (a*c^4*d^2 + 4*a^2*c*d^4)*x^4 + 4*(a*c^5*d + 4*a^2*c^2*d^3)*x^3 + 4*(a*c^6 + 4*a^2*c^3*d^2)*x^2)","B",0
39,1,353,0,0.659440," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^4,x, algorithm=""fricas"")","\frac{4096}{17} x^{17} e^{12} + 1024 x^{16} e^{11} d + \frac{8192}{5} x^{15} e^{10} d^{2} + 1024 x^{14} e^{9} d^{3} - \frac{2048}{13} x^{13} e^{8} d^{4} + \frac{16384}{13} x^{13} e^{11} a - 512 x^{12} e^{7} d^{5} + 4096 x^{12} e^{10} d a - \frac{1664}{11} x^{11} e^{6} d^{6} + \frac{49152}{11} x^{11} e^{9} d^{2} a + \frac{384}{5} x^{10} e^{5} d^{7} + 1024 x^{10} e^{8} d^{3} a + \frac{128}{3} x^{9} e^{4} d^{8} - \frac{4096}{3} x^{9} e^{7} d^{4} a + \frac{8192}{3} x^{9} e^{10} a^{2} - 4 x^{8} e^{3} d^{9} - 768 x^{8} e^{6} d^{5} a + 6144 x^{8} e^{9} d a^{2} - \frac{32}{7} x^{7} e^{2} d^{10} + \frac{768}{7} x^{7} e^{5} d^{6} a + \frac{24576}{7} x^{7} e^{8} d^{2} a^{2} + 128 x^{6} e^{4} d^{7} a - 1024 x^{6} e^{7} d^{3} a^{2} + \frac{1}{5} x^{5} d^{12} - \frac{6144}{5} x^{5} e^{6} d^{4} a^{2} + \frac{16384}{5} x^{5} e^{9} a^{3} - 8 x^{4} e^{2} d^{9} a + 4096 x^{4} e^{8} d a^{3} + 128 x^{3} e^{4} d^{6} a^{2} - 1024 x^{2} e^{6} d^{3} a^{3} + 4096 x e^{8} a^{4}"," ",0,"4096/17*x^17*e^12 + 1024*x^16*e^11*d + 8192/5*x^15*e^10*d^2 + 1024*x^14*e^9*d^3 - 2048/13*x^13*e^8*d^4 + 16384/13*x^13*e^11*a - 512*x^12*e^7*d^5 + 4096*x^12*e^10*d*a - 1664/11*x^11*e^6*d^6 + 49152/11*x^11*e^9*d^2*a + 384/5*x^10*e^5*d^7 + 1024*x^10*e^8*d^3*a + 128/3*x^9*e^4*d^8 - 4096/3*x^9*e^7*d^4*a + 8192/3*x^9*e^10*a^2 - 4*x^8*e^3*d^9 - 768*x^8*e^6*d^5*a + 6144*x^8*e^9*d*a^2 - 32/7*x^7*e^2*d^10 + 768/7*x^7*e^5*d^6*a + 24576/7*x^7*e^8*d^2*a^2 + 128*x^6*e^4*d^7*a - 1024*x^6*e^7*d^3*a^2 + 1/5*x^5*d^12 - 6144/5*x^5*e^6*d^4*a^2 + 16384/5*x^5*e^9*a^3 - 8*x^4*e^2*d^9*a + 4096*x^4*e^8*d*a^3 + 128*x^3*e^4*d^6*a^2 - 1024*x^2*e^6*d^3*a^3 + 4096*x*e^8*a^4","A",0
40,1,205,0,0.702855," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^3,x, algorithm=""fricas"")","\frac{512}{13} x^{13} e^{9} + 128 x^{12} e^{8} d + \frac{1536}{11} x^{11} e^{7} d^{2} + 32 x^{10} e^{6} d^{3} - \frac{128}{3} x^{9} e^{5} d^{4} + \frac{512}{3} x^{9} e^{8} a - 24 x^{8} e^{4} d^{5} + 384 x^{8} e^{7} d a + \frac{24}{7} x^{7} e^{3} d^{6} + \frac{1536}{7} x^{7} e^{6} d^{2} a + 4 x^{6} e^{2} d^{7} - 64 x^{6} e^{5} d^{3} a - \frac{384}{5} x^{5} e^{4} d^{4} a + \frac{1536}{5} x^{5} e^{7} a^{2} - \frac{1}{4} x^{4} d^{9} + 384 x^{4} e^{6} d a^{2} + 8 x^{3} e^{2} d^{6} a - 96 x^{2} e^{4} d^{3} a^{2} + 512 x e^{6} a^{3}"," ",0,"512/13*x^13*e^9 + 128*x^12*e^8*d + 1536/11*x^11*e^7*d^2 + 32*x^10*e^6*d^3 - 128/3*x^9*e^5*d^4 + 512/3*x^9*e^8*a - 24*x^8*e^4*d^5 + 384*x^8*e^7*d*a + 24/7*x^7*e^3*d^6 + 1536/7*x^7*e^6*d^2*a + 4*x^6*e^2*d^7 - 64*x^6*e^5*d^3*a - 384/5*x^5*e^4*d^4*a + 1536/5*x^5*e^7*a^2 - 1/4*x^4*d^9 + 384*x^4*e^6*d*a^2 + 8*x^3*e^2*d^6*a - 96*x^2*e^4*d^3*a^2 + 512*x*e^6*a^3","A",0
41,1,99,0,0.638465," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x, algorithm=""fricas"")","\frac{64}{9} x^{9} e^{6} + 16 x^{8} e^{5} d + \frac{64}{7} x^{7} e^{4} d^{2} - \frac{8}{3} x^{6} e^{3} d^{3} - \frac{16}{5} x^{5} e^{2} d^{4} + \frac{128}{5} x^{5} e^{5} a + 32 x^{4} e^{4} d a + \frac{1}{3} x^{3} d^{6} - 8 x^{2} e^{2} d^{3} a + 64 x e^{4} a^{2}"," ",0,"64/9*x^9*e^6 + 16*x^8*e^5*d + 64/7*x^7*e^4*d^2 - 8/3*x^6*e^3*d^3 - 16/5*x^5*e^2*d^4 + 128/5*x^5*e^5*a + 32*x^4*e^4*d*a + 1/3*x^3*d^6 - 8*x^2*e^2*d^3*a + 64*x*e^4*a^2","A",0
42,1,33,0,0.559649," ","integrate(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2,x, algorithm=""fricas"")","\frac{8}{5} x^{5} e^{3} + 2 x^{4} e^{2} d - \frac{1}{2} x^{2} d^{3} + 8 x e^{2} a"," ",0,"8/5*x^5*e^3 + 2*x^4*e^2*d - 1/2*x^2*d^3 + 8*x*e^2*a","A",0
43,1,1115,0,0.887596," ","integrate(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),x, algorithm=""fricas"")","-\sqrt{\frac{3 \, d^{2} + \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} \log\left(8 \, e x + 2 \, {\left(2 \, d^{4} - 128 \, a e^{3} - \frac{3 \, {\left(5 \, d^{10} - 64 \, a d^{6} e^{3} - 16384 \, a^{2} d^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}\right)} \sqrt{\frac{3 \, d^{2} + \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} + 2 \, d\right) + \sqrt{\frac{3 \, d^{2} + \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} \log\left(8 \, e x - 2 \, {\left(2 \, d^{4} - 128 \, a e^{3} - \frac{3 \, {\left(5 \, d^{10} - 64 \, a d^{6} e^{3} - 16384 \, a^{2} d^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}\right)} \sqrt{\frac{3 \, d^{2} + \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} + 2 \, d\right) - \sqrt{\frac{3 \, d^{2} - \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} \log\left(8 \, e x + 2 \, {\left(2 \, d^{4} - 128 \, a e^{3} + \frac{3 \, {\left(5 \, d^{10} - 64 \, a d^{6} e^{3} - 16384 \, a^{2} d^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}\right)} \sqrt{\frac{3 \, d^{2} - \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} + 2 \, d\right) + \sqrt{\frac{3 \, d^{2} - \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} \log\left(8 \, e x - 2 \, {\left(2 \, d^{4} - 128 \, a e^{3} + \frac{3 \, {\left(5 \, d^{10} - 64 \, a d^{6} e^{3} - 16384 \, a^{2} d^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}\right)} \sqrt{\frac{3 \, d^{2} - \frac{2 \, {\left(5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}\right)}}{\sqrt{25 \, d^{12} + 960 \, a d^{8} e^{3} - 98304 \, a^{2} d^{4} e^{6} - 4194304 \, a^{3} e^{9}}}}{5 \, d^{8} - 64 \, a d^{4} e^{3} - 16384 \, a^{2} e^{6}}} + 2 \, d\right)"," ",0,"-sqrt((3*d^2 + 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6))*log(8*e*x + 2*(2*d^4 - 128*a*e^3 - 3*(5*d^10 - 64*a*d^6*e^3 - 16384*a^2*d^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))*sqrt((3*d^2 + 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)) + 2*d) + sqrt((3*d^2 + 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6))*log(8*e*x - 2*(2*d^4 - 128*a*e^3 - 3*(5*d^10 - 64*a*d^6*e^3 - 16384*a^2*d^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))*sqrt((3*d^2 + 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)) + 2*d) - sqrt((3*d^2 - 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6))*log(8*e*x + 2*(2*d^4 - 128*a*e^3 + 3*(5*d^10 - 64*a*d^6*e^3 - 16384*a^2*d^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))*sqrt((3*d^2 - 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)) + 2*d) + sqrt((3*d^2 - 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6))*log(8*e*x - 2*(2*d^4 - 128*a*e^3 + 3*(5*d^10 - 64*a*d^6*e^3 - 16384*a^2*d^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))*sqrt((3*d^2 - 2*(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)/sqrt(25*d^12 + 960*a*d^8*e^3 - 98304*a^2*d^4*e^6 - 4194304*a^3*e^9))/(5*d^8 - 64*a*d^4*e^3 - 16384*a^2*e^6)) + 2*d)","B",0
44,1,4285,0,1.294081," ","integrate(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x, algorithm=""fricas"")","-\frac{96 \, d^{2} e^{3} x^{3} + 72 \, d^{3} e^{2} x^{2} - 5 \, d^{5} + 128 \, a d e^{3} + 12 \, \sqrt{2} {\left(40 \, a d^{8} e^{2} - 512 \, a^{2} d^{4} e^{5} - 131072 \, a^{3} e^{8} + 8 \, {\left(5 \, d^{8} e^{3} - 64 \, a d^{4} e^{6} - 16384 \, a^{2} e^{9}\right)} x^{4} + 8 \, {\left(5 \, d^{9} e^{2} - 64 \, a d^{5} e^{5} - 16384 \, a^{2} d e^{8}\right)} x^{3} - {\left(5 \, d^{11} - 64 \, a d^{7} e^{3} - 16384 \, a^{2} d^{3} e^{6}\right)} x\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} + {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}} \log\left(884736 \, a d^{5} e^{6} + 226492416 \, a^{2} d e^{9} + 3538944 \, {\left(a d^{4} e^{7} + 256 \, a^{2} e^{10}\right)} x + 13824 \, \sqrt{2} {\left(d^{16} e^{2} - 128 \, a d^{12} e^{5} - 61440 \, a^{2} d^{8} e^{8} + 8388608 \, a^{3} d^{4} e^{11} - 268435456 \, a^{4} e^{14} - {\left(125 \, d^{30} + 59200 \, a d^{26} e^{3} - 3624960 \, a^{2} d^{22} e^{6} - 566493184 \, a^{3} d^{18} e^{9} + 19797114880 \, a^{4} d^{14} e^{12} + 1906965479424 \, a^{5} d^{10} e^{15} - 30786325577728 \, a^{6} d^{6} e^{18} - 2251799813685248 \, a^{7} d^{2} e^{21}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} + {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}}\right) - 12 \, \sqrt{2} {\left(40 \, a d^{8} e^{2} - 512 \, a^{2} d^{4} e^{5} - 131072 \, a^{3} e^{8} + 8 \, {\left(5 \, d^{8} e^{3} - 64 \, a d^{4} e^{6} - 16384 \, a^{2} e^{9}\right)} x^{4} + 8 \, {\left(5 \, d^{9} e^{2} - 64 \, a d^{5} e^{5} - 16384 \, a^{2} d e^{8}\right)} x^{3} - {\left(5 \, d^{11} - 64 \, a d^{7} e^{3} - 16384 \, a^{2} d^{3} e^{6}\right)} x\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} + {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}} \log\left(884736 \, a d^{5} e^{6} + 226492416 \, a^{2} d e^{9} + 3538944 \, {\left(a d^{4} e^{7} + 256 \, a^{2} e^{10}\right)} x - 13824 \, \sqrt{2} {\left(d^{16} e^{2} - 128 \, a d^{12} e^{5} - 61440 \, a^{2} d^{8} e^{8} + 8388608 \, a^{3} d^{4} e^{11} - 268435456 \, a^{4} e^{14} - {\left(125 \, d^{30} + 59200 \, a d^{26} e^{3} - 3624960 \, a^{2} d^{22} e^{6} - 566493184 \, a^{3} d^{18} e^{9} + 19797114880 \, a^{4} d^{14} e^{12} + 1906965479424 \, a^{5} d^{10} e^{15} - 30786325577728 \, a^{6} d^{6} e^{18} - 2251799813685248 \, a^{7} d^{2} e^{21}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} + {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}}\right) + 12 \, \sqrt{2} {\left(40 \, a d^{8} e^{2} - 512 \, a^{2} d^{4} e^{5} - 131072 \, a^{3} e^{8} + 8 \, {\left(5 \, d^{8} e^{3} - 64 \, a d^{4} e^{6} - 16384 \, a^{2} e^{9}\right)} x^{4} + 8 \, {\left(5 \, d^{9} e^{2} - 64 \, a d^{5} e^{5} - 16384 \, a^{2} d e^{8}\right)} x^{3} - {\left(5 \, d^{11} - 64 \, a d^{7} e^{3} - 16384 \, a^{2} d^{3} e^{6}\right)} x\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} - {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}} \log\left(884736 \, a d^{5} e^{6} + 226492416 \, a^{2} d e^{9} + 3538944 \, {\left(a d^{4} e^{7} + 256 \, a^{2} e^{10}\right)} x + 13824 \, \sqrt{2} {\left(d^{16} e^{2} - 128 \, a d^{12} e^{5} - 61440 \, a^{2} d^{8} e^{8} + 8388608 \, a^{3} d^{4} e^{11} - 268435456 \, a^{4} e^{14} + {\left(125 \, d^{30} + 59200 \, a d^{26} e^{3} - 3624960 \, a^{2} d^{22} e^{6} - 566493184 \, a^{3} d^{18} e^{9} + 19797114880 \, a^{4} d^{14} e^{12} + 1906965479424 \, a^{5} d^{10} e^{15} - 30786325577728 \, a^{6} d^{6} e^{18} - 2251799813685248 \, a^{7} d^{2} e^{21}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} - {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}}\right) - 12 \, \sqrt{2} {\left(40 \, a d^{8} e^{2} - 512 \, a^{2} d^{4} e^{5} - 131072 \, a^{3} e^{8} + 8 \, {\left(5 \, d^{8} e^{3} - 64 \, a d^{4} e^{6} - 16384 \, a^{2} e^{9}\right)} x^{4} + 8 \, {\left(5 \, d^{9} e^{2} - 64 \, a d^{5} e^{5} - 16384 \, a^{2} d e^{8}\right)} x^{3} - {\left(5 \, d^{11} - 64 \, a d^{7} e^{3} - 16384 \, a^{2} d^{3} e^{6}\right)} x\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} - {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}} \log\left(884736 \, a d^{5} e^{6} + 226492416 \, a^{2} d e^{9} + 3538944 \, {\left(a d^{4} e^{7} + 256 \, a^{2} e^{10}\right)} x - 13824 \, \sqrt{2} {\left(d^{16} e^{2} - 128 \, a d^{12} e^{5} - 61440 \, a^{2} d^{8} e^{8} + 8388608 \, a^{3} d^{4} e^{11} - 268435456 \, a^{4} e^{14} + {\left(125 \, d^{30} + 59200 \, a d^{26} e^{3} - 3624960 \, a^{2} d^{22} e^{6} - 566493184 \, a^{3} d^{18} e^{9} + 19797114880 \, a^{4} d^{14} e^{12} + 1906965479424 \, a^{5} d^{10} e^{15} - 30786325577728 \, a^{6} d^{6} e^{18} - 2251799813685248 \, a^{7} d^{2} e^{21}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}\right)} \sqrt{\frac{d^{10} e^{2} + 160 \, a d^{6} e^{5} + 40960 \, a^{2} d^{2} e^{8} - {\left(125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}\right)} \sqrt{\frac{d^{8} e^{4} + 512 \, a d^{4} e^{7} + 65536 \, a^{2} e^{10}}{15625 \, d^{36} + 1800000 \, a d^{32} e^{3} - 115200000 \, a^{2} d^{28} e^{6} - 21135360000 \, a^{3} d^{24} e^{9} - 150994944000 \, a^{4} d^{20} e^{12} + 78082505441280 \, a^{5} d^{16} e^{15} + 2744381022928896 \, a^{6} d^{12} e^{18} - 70931694131085312 \, a^{7} d^{8} e^{21} - 5188146770730811392 \, a^{8} d^{4} e^{24} - 73786976294838206464 \, a^{9} e^{27}}}}{125 \, d^{24} - 4800 \, a d^{20} e^{3} - 1167360 \, a^{2} d^{16} e^{6} + 31195136 \, a^{3} d^{12} e^{9} + 3825205248 \, a^{4} d^{8} e^{12} - 51539607552 \, a^{5} d^{4} e^{15} - 4398046511104 \, a^{6} e^{18}}}\right) - 8 \, {\left(d^{4} e - 64 \, a e^{4}\right)} x}{40 \, a d^{8} e^{2} - 512 \, a^{2} d^{4} e^{5} - 131072 \, a^{3} e^{8} + 8 \, {\left(5 \, d^{8} e^{3} - 64 \, a d^{4} e^{6} - 16384 \, a^{2} e^{9}\right)} x^{4} + 8 \, {\left(5 \, d^{9} e^{2} - 64 \, a d^{5} e^{5} - 16384 \, a^{2} d e^{8}\right)} x^{3} - {\left(5 \, d^{11} - 64 \, a d^{7} e^{3} - 16384 \, a^{2} d^{3} e^{6}\right)} x}"," ",0,"-(96*d^2*e^3*x^3 + 72*d^3*e^2*x^2 - 5*d^5 + 128*a*d*e^3 + 12*sqrt(2)*(40*a*d^8*e^2 - 512*a^2*d^4*e^5 - 131072*a^3*e^8 + 8*(5*d^8*e^3 - 64*a*d^4*e^6 - 16384*a^2*e^9)*x^4 + 8*(5*d^9*e^2 - 64*a*d^5*e^5 - 16384*a^2*d*e^8)*x^3 - (5*d^11 - 64*a*d^7*e^3 - 16384*a^2*d^3*e^6)*x)*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 + (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))*log(884736*a*d^5*e^6 + 226492416*a^2*d*e^9 + 3538944*(a*d^4*e^7 + 256*a^2*e^10)*x + 13824*sqrt(2)*(d^16*e^2 - 128*a*d^12*e^5 - 61440*a^2*d^8*e^8 + 8388608*a^3*d^4*e^11 - 268435456*a^4*e^14 - (125*d^30 + 59200*a*d^26*e^3 - 3624960*a^2*d^22*e^6 - 566493184*a^3*d^18*e^9 + 19797114880*a^4*d^14*e^12 + 1906965479424*a^5*d^10*e^15 - 30786325577728*a^6*d^6*e^18 - 2251799813685248*a^7*d^2*e^21)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 + (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))) - 12*sqrt(2)*(40*a*d^8*e^2 - 512*a^2*d^4*e^5 - 131072*a^3*e^8 + 8*(5*d^8*e^3 - 64*a*d^4*e^6 - 16384*a^2*e^9)*x^4 + 8*(5*d^9*e^2 - 64*a*d^5*e^5 - 16384*a^2*d*e^8)*x^3 - (5*d^11 - 64*a*d^7*e^3 - 16384*a^2*d^3*e^6)*x)*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 + (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))*log(884736*a*d^5*e^6 + 226492416*a^2*d*e^9 + 3538944*(a*d^4*e^7 + 256*a^2*e^10)*x - 13824*sqrt(2)*(d^16*e^2 - 128*a*d^12*e^5 - 61440*a^2*d^8*e^8 + 8388608*a^3*d^4*e^11 - 268435456*a^4*e^14 - (125*d^30 + 59200*a*d^26*e^3 - 3624960*a^2*d^22*e^6 - 566493184*a^3*d^18*e^9 + 19797114880*a^4*d^14*e^12 + 1906965479424*a^5*d^10*e^15 - 30786325577728*a^6*d^6*e^18 - 2251799813685248*a^7*d^2*e^21)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 + (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))) + 12*sqrt(2)*(40*a*d^8*e^2 - 512*a^2*d^4*e^5 - 131072*a^3*e^8 + 8*(5*d^8*e^3 - 64*a*d^4*e^6 - 16384*a^2*e^9)*x^4 + 8*(5*d^9*e^2 - 64*a*d^5*e^5 - 16384*a^2*d*e^8)*x^3 - (5*d^11 - 64*a*d^7*e^3 - 16384*a^2*d^3*e^6)*x)*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 - (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))*log(884736*a*d^5*e^6 + 226492416*a^2*d*e^9 + 3538944*(a*d^4*e^7 + 256*a^2*e^10)*x + 13824*sqrt(2)*(d^16*e^2 - 128*a*d^12*e^5 - 61440*a^2*d^8*e^8 + 8388608*a^3*d^4*e^11 - 268435456*a^4*e^14 + (125*d^30 + 59200*a*d^26*e^3 - 3624960*a^2*d^22*e^6 - 566493184*a^3*d^18*e^9 + 19797114880*a^4*d^14*e^12 + 1906965479424*a^5*d^10*e^15 - 30786325577728*a^6*d^6*e^18 - 2251799813685248*a^7*d^2*e^21)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 - (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))) - 12*sqrt(2)*(40*a*d^8*e^2 - 512*a^2*d^4*e^5 - 131072*a^3*e^8 + 8*(5*d^8*e^3 - 64*a*d^4*e^6 - 16384*a^2*e^9)*x^4 + 8*(5*d^9*e^2 - 64*a*d^5*e^5 - 16384*a^2*d*e^8)*x^3 - (5*d^11 - 64*a*d^7*e^3 - 16384*a^2*d^3*e^6)*x)*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 - (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))*log(884736*a*d^5*e^6 + 226492416*a^2*d*e^9 + 3538944*(a*d^4*e^7 + 256*a^2*e^10)*x - 13824*sqrt(2)*(d^16*e^2 - 128*a*d^12*e^5 - 61440*a^2*d^8*e^8 + 8388608*a^3*d^4*e^11 - 268435456*a^4*e^14 + (125*d^30 + 59200*a*d^26*e^3 - 3624960*a^2*d^22*e^6 - 566493184*a^3*d^18*e^9 + 19797114880*a^4*d^14*e^12 + 1906965479424*a^5*d^10*e^15 - 30786325577728*a^6*d^6*e^18 - 2251799813685248*a^7*d^2*e^21)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))*sqrt((d^10*e^2 + 160*a*d^6*e^5 + 40960*a^2*d^2*e^8 - (125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18)*sqrt((d^8*e^4 + 512*a*d^4*e^7 + 65536*a^2*e^10)/(15625*d^36 + 1800000*a*d^32*e^3 - 115200000*a^2*d^28*e^6 - 21135360000*a^3*d^24*e^9 - 150994944000*a^4*d^20*e^12 + 78082505441280*a^5*d^16*e^15 + 2744381022928896*a^6*d^12*e^18 - 70931694131085312*a^7*d^8*e^21 - 5188146770730811392*a^8*d^4*e^24 - 73786976294838206464*a^9*e^27)))/(125*d^24 - 4800*a*d^20*e^3 - 1167360*a^2*d^16*e^6 + 31195136*a^3*d^12*e^9 + 3825205248*a^4*d^8*e^12 - 51539607552*a^5*d^4*e^15 - 4398046511104*a^6*e^18))) - 8*(d^4*e - 64*a*e^4)*x)/(40*a*d^8*e^2 - 512*a^2*d^4*e^5 - 131072*a^3*e^8 + 8*(5*d^8*e^3 - 64*a*d^4*e^6 - 16384*a^2*e^9)*x^4 + 8*(5*d^9*e^2 - 64*a*d^5*e^5 - 16384*a^2*d*e^8)*x^3 - (5*d^11 - 64*a*d^7*e^3 - 16384*a^2*d^3*e^6)*x)","B",0
45,1,84,0,0.680784," ","integrate((8*x^4-x^3+8*x+8)^4,x, algorithm=""fricas"")","\frac{4096}{17} x^{17} - 128 x^{16} + \frac{128}{5} x^{15} + 1168 x^{14} + \frac{10241}{13} x^{13} - 448 x^{12} + \frac{25312}{11} x^{11} + \frac{21488}{5} x^{10} + 1408 x^{9} + 1376 x^{8} + 6784 x^{7} + 7168 x^{6} + \frac{14336}{5} x^{5} + 3584 x^{4} + 8192 x^{3} + 8192 x^{2} + 4096 x"," ",0,"4096/17*x^17 - 128*x^16 + 128/5*x^15 + 1168*x^14 + 10241/13*x^13 - 448*x^12 + 25312/11*x^11 + 21488/5*x^10 + 1408*x^9 + 1376*x^8 + 6784*x^7 + 7168*x^6 + 14336/5*x^5 + 3584*x^4 + 8192*x^3 + 8192*x^2 + 4096*x","A",0
46,1,64,0,0.478838," ","integrate((8*x^4-x^3+8*x+8)^3,x, algorithm=""fricas"")","\frac{512}{13} x^{13} - 16 x^{12} + \frac{24}{11} x^{11} + \frac{307}{2} x^{10} + 128 x^{9} - 45 x^{8} + \frac{1560}{7} x^{7} + 480 x^{6} + \frac{1152}{5} x^{5} + 80 x^{4} + 512 x^{3} + 768 x^{2} + 512 x"," ",0,"512/13*x^13 - 16*x^12 + 24/11*x^11 + 307/2*x^10 + 128*x^9 - 45*x^8 + 1560/7*x^7 + 480*x^6 + 1152/5*x^5 + 80*x^4 + 512*x^3 + 768*x^2 + 512*x","A",0
47,1,44,0,0.757726," ","integrate((8*x^4-x^3+8*x+8)^2,x, algorithm=""fricas"")","\frac{64}{9} x^{9} - 2 x^{8} + \frac{1}{7} x^{7} + \frac{64}{3} x^{6} + \frac{112}{5} x^{5} - 4 x^{4} + \frac{64}{3} x^{3} + 64 x^{2} + 64 x"," ",0,"64/9*x^9 - 2*x^8 + 1/7*x^7 + 64/3*x^6 + 112/5*x^5 - 4*x^4 + 64/3*x^3 + 64*x^2 + 64*x","A",0
48,1,19,0,0.731203," ","integrate(8*x^4-x^3+8*x+8,x, algorithm=""fricas"")","\frac{8}{5} x^{5} - \frac{1}{4} x^{4} + 4 x^{2} + 8 x"," ",0,"8/5*x^5 - 1/4*x^4 + 4*x^2 + 8*x","A",0
49,1,1015,0,3.624850," ","integrate(1/(8*x^4-x^3+8*x+8),x, algorithm=""fricas"")","-\frac{1}{168} \, {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} \log\left(287314195392 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{3} - 12038906880 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} + 16878104 \, x + 4897683 i \, \sqrt{7} - 411405372 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} + 6055613\right) - \frac{1}{168} \, {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} \log\left(-35914274424 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{3} + 16443 \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} {\left(-13001 i \, \sqrt{7} + 1092084 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} - 91520\right)} + 609 \, {\left(351027 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 613\right)} {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} + 2109763 \, x - \frac{1911147}{8} i \, \sqrt{7} + \frac{40134087}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} - 1461344\right) + \frac{1}{1044} \, {\left(\sqrt{174} \sqrt{-4698 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 4698 \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - \frac{87}{784} \, {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 7} + 261 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} + 261 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} \log\left(-\frac{16443}{2} \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} {\left(-13001 i \, \sqrt{7} + 1092084 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} - 91520\right)} - \frac{609}{2} \, {\left(351027 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 613\right)} {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} + 752431680 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} + \frac{1}{32} \, {\left(3 \, {\left(13001 \, \sqrt{174} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 91520 \, \sqrt{174}\right)} {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 274560 \, \sqrt{174} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} + 1922368 \, \sqrt{174}\right)} \sqrt{-4698 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 4698 \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - \frac{87}{784} \, {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 7} + 2109763 \, x - \frac{373317}{2} i \, \sqrt{7} + 15679314 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} + 220336\right) - \frac{1}{1044} \, {\left(\sqrt{174} \sqrt{-4698 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 4698 \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - \frac{87}{784} \, {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 7} - 261 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} - 261 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} \log\left(-\frac{16443}{2} \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} {\left(-13001 i \, \sqrt{7} + 1092084 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} - 91520\right)} - \frac{609}{2} \, {\left(351027 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 613\right)} {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} + 752431680 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - \frac{1}{32} \, {\left(3 \, {\left(13001 \, \sqrt{174} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 91520 \, \sqrt{174}\right)} {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 274560 \, \sqrt{174} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} + 1922368 \, \sqrt{174}\right)} \sqrt{-4698 \, {\left(\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - 4698 \, {\left(-\frac{1}{168} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)}^{2} - \frac{87}{784} \, {\left(i \, \sqrt{7} + 84 \, \sqrt{-\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} {\left(-i \, \sqrt{7} + 84 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}}\right)} - 7} + 2109763 \, x - \frac{373317}{2} i \, \sqrt{7} + 15679314 \, \sqrt{\frac{65}{43848} i \, \sqrt{7} - \frac{109}{87696}} + 220336\right)"," ",0,"-1/168*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696))*log(287314195392*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^3 - 12038906880*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 + 16878104*x + 4897683*I*sqrt(7) - 411405372*sqrt(65/43848*I*sqrt(7) - 109/87696) + 6055613) - 1/168*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696))*log(-35914274424*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^3 + 16443*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2*(-13001*I*sqrt(7) + 1092084*sqrt(65/43848*I*sqrt(7) - 109/87696) - 91520) + 609*(351027*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 613)*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696)) + 2109763*x - 1911147/8*I*sqrt(7) + 40134087/2*sqrt(65/43848*I*sqrt(7) - 109/87696) - 1461344) + 1/1044*(sqrt(174)*sqrt(-4698*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 4698*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2 - 87/784*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696))*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) - 7) + 261*sqrt(65/43848*I*sqrt(7) - 109/87696) + 261*sqrt(-65/43848*I*sqrt(7) - 109/87696))*log(-16443/2*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2*(-13001*I*sqrt(7) + 1092084*sqrt(65/43848*I*sqrt(7) - 109/87696) - 91520) - 609/2*(351027*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 613)*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696)) + 752431680*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 + 1/32*(3*(13001*sqrt(174)*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) - 91520*sqrt(174))*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696)) - 274560*sqrt(174)*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) + 1922368*sqrt(174))*sqrt(-4698*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 4698*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2 - 87/784*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696))*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) - 7) + 2109763*x - 373317/2*I*sqrt(7) + 15679314*sqrt(65/43848*I*sqrt(7) - 109/87696) + 220336) - 1/1044*(sqrt(174)*sqrt(-4698*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 4698*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2 - 87/784*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696))*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) - 7) - 261*sqrt(65/43848*I*sqrt(7) - 109/87696) - 261*sqrt(-65/43848*I*sqrt(7) - 109/87696))*log(-16443/2*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2*(-13001*I*sqrt(7) + 1092084*sqrt(65/43848*I*sqrt(7) - 109/87696) - 91520) - 609/2*(351027*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 613)*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696)) + 752431680*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 1/32*(3*(13001*sqrt(174)*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) - 91520*sqrt(174))*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696)) - 274560*sqrt(174)*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) + 1922368*sqrt(174))*sqrt(-4698*(1/168*I*sqrt(7) - 1/2*sqrt(65/43848*I*sqrt(7) - 109/87696))^2 - 4698*(-1/168*I*sqrt(7) - 1/2*sqrt(-65/43848*I*sqrt(7) - 109/87696))^2 - 87/784*(I*sqrt(7) + 84*sqrt(-65/43848*I*sqrt(7) - 109/87696))*(-I*sqrt(7) + 84*sqrt(65/43848*I*sqrt(7) - 109/87696)) - 7) + 2109763*x - 373317/2*I*sqrt(7) + 15679314*sqrt(65/43848*I*sqrt(7) - 109/87696) + 220336)","C",0
50,1,1201,0,5.199416," ","integrate(1/(8*x^4-x^3+8*x+8)^2,x, algorithm=""fricas"")","\frac{3819648 \, x^{3} - 15138 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} \log\left(6217850567873065654359973859328 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{3} - 10028767243179717478632775680 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} + 67481665655469287031416 \, x + 320944207138750561964778 i \, \sqrt{7} - 133210725033589645013145504 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} + 333979081113202533090737\right) - 15138 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} \log\left(-777231320984133206794996732416 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{3} + 878169064752 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} {\left(-1066184864424603 i \, \sqrt{7} + 442529435492941104 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} - 1427510892508480\right)} + 7569 \, {\left(7276511507810430573072 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 23359423554371543\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} + 8435208206933660878927 \, x - \frac{148449195141328682772633}{4} i \, \sqrt{7} + 15403787072311988024172036 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} - 47393606606696595067616\right) - 5583312 \, x^{2} + {\left(56 \, \sqrt{87} {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} \sqrt{-125452723536 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 125452723536 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - \frac{658503}{1568} \, {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 6630191} + 7569 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} + 7569 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}\right)} \log\left(-439084532376 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} {\left(-1066184864424603 i \, \sqrt{7} + 442529435492941104 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} - 1427510892508480\right)} - \frac{7569}{2} \, {\left(7276511507810430573072 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 23359423554371543\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} + 626797952698732342414548480 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} + \frac{1}{16} \, {\left(261 \, {\left(62716756730859 \, \sqrt{87} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 1427510892508480 \, \sqrt{87}\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 372580342944713280 \, \sqrt{87} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} + 10465021752358451264 \, \sqrt{87}\right)} \sqrt{-125452723536 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 125452723536 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - \frac{658503}{1568} \, {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 6630191} + 8435208206933660878927 \, x - \frac{3005727107011649552439}{2} i \, \sqrt{7} + 623776778443358801235576 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} + 2295910220839785410704\right) - {\left(56 \, \sqrt{87} {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} \sqrt{-125452723536 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 125452723536 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - \frac{658503}{1568} \, {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 6630191} - 7569 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 7569 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}\right)} \log\left(-439084532376 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} {\left(-1066184864424603 i \, \sqrt{7} + 442529435492941104 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} - 1427510892508480\right)} - \frac{7569}{2} \, {\left(7276511507810430573072 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 23359423554371543\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} + 626797952698732342414548480 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - \frac{1}{16} \, {\left(261 \, {\left(62716756730859 \, \sqrt{87} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 1427510892508480 \, \sqrt{87}\right)} {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 372580342944713280 \, \sqrt{87} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} + 10465021752358451264 \, \sqrt{87}\right)} \sqrt{-125452723536 \, {\left(\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - 125452723536 \, {\left(-\frac{17}{14112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)}^{2} - \frac{658503}{1568} \, {\left(17 i \, \sqrt{7} + 7056 \, \sqrt{-\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} {\left(-17 i \, \sqrt{7} + 7056 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}}\right)} - 6630191} + 8435208206933660878927 \, x - \frac{3005727107011649552439}{2} i \, \sqrt{7} + 623776778443358801235576 \, \sqrt{\frac{4550065}{334540596096} i \, \sqrt{7} - \frac{180983329}{4683568345344}} + 2295910220839785410704\right) + 7498008 \, x + 2650368}{213627456 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)}}"," ",0,"1/213627456*(3819648*x^3 - 15138*(8*x^4 - x^3 + 8*x + 8)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))*log(6217850567873065654359973859328*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^3 - 10028767243179717478632775680*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 + 67481665655469287031416*x + 320944207138750561964778*I*sqrt(7) - 133210725033589645013145504*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) + 333979081113202533090737) - 15138*(8*x^4 - x^3 + 8*x + 8)*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))*log(-777231320984133206794996732416*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^3 + 878169064752*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2*(-1066184864424603*I*sqrt(7) + 442529435492941104*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) - 1427510892508480) + 7569*(7276511507810430573072*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 23359423554371543)*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) + 8435208206933660878927*x - 148449195141328682772633/4*I*sqrt(7) + 15403787072311988024172036*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) - 47393606606696595067616) - 5583312*x^2 + (56*sqrt(87)*(8*x^4 - x^3 + 8*x + 8)*sqrt(-125452723536*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 125452723536*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 658503/1568*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 6630191) + 7569*(8*x^4 - x^3 + 8*x + 8)*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) + 7569*(8*x^4 - x^3 + 8*x + 8)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)))*log(-439084532376*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2*(-1066184864424603*I*sqrt(7) + 442529435492941104*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) - 1427510892508480) - 7569/2*(7276511507810430573072*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 23359423554371543)*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) + 626797952698732342414548480*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 + 1/16*(261*(62716756730859*sqrt(87)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 1427510892508480*sqrt(87))*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 372580342944713280*sqrt(87)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) + 10465021752358451264*sqrt(87))*sqrt(-125452723536*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 125452723536*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 658503/1568*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 6630191) + 8435208206933660878927*x - 3005727107011649552439/2*I*sqrt(7) + 623776778443358801235576*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) + 2295910220839785410704) - (56*sqrt(87)*(8*x^4 - x^3 + 8*x + 8)*sqrt(-125452723536*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 125452723536*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 658503/1568*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 6630191) - 7569*(8*x^4 - x^3 + 8*x + 8)*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 7569*(8*x^4 - x^3 + 8*x + 8)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)))*log(-439084532376*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2*(-1066184864424603*I*sqrt(7) + 442529435492941104*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) - 1427510892508480) - 7569/2*(7276511507810430573072*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 23359423554371543)*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) + 626797952698732342414548480*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 1/16*(261*(62716756730859*sqrt(87)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 1427510892508480*sqrt(87))*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 372580342944713280*sqrt(87)*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) + 10465021752358451264*sqrt(87))*sqrt(-125452723536*(17/14112*I*sqrt(7) - 1/2*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 125452723536*(-17/14112*I*sqrt(7) - 1/2*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))^2 - 658503/1568*(17*I*sqrt(7) + 7056*sqrt(-4550065/334540596096*I*sqrt(7) - 180983329/4683568345344))*(-17*I*sqrt(7) + 7056*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344)) - 6630191) + 8435208206933660878927*x - 3005727107011649552439/2*I*sqrt(7) + 623776778443358801235576*sqrt(4550065/334540596096*I*sqrt(7) - 180983329/4683568345344) + 2295910220839785410704) + 7498008*x + 2650368)/(8*x^4 - x^3 + 8*x + 8)","C",0
51,1,77,0,0.721146," ","integrate((4*x^4+4*x^2+4*x+1)^4,x, algorithm=""fricas"")","\frac{256}{17} x^{17} + \frac{1024}{15} x^{15} + \frac{512}{7} x^{14} + \frac{1792}{13} x^{13} + 256 x^{12} + \frac{3328}{11} x^{11} + 384 x^{10} + \frac{4192}{9} x^{9} + 448 x^{8} + \frac{2752}{7} x^{7} + \frac{992}{3} x^{6} + \frac{1136}{5} x^{5} + 112 x^{4} + \frac{112}{3} x^{3} + 8 x^{2} + x"," ",0,"256/17*x^17 + 1024/15*x^15 + 512/7*x^14 + 1792/13*x^13 + 256*x^12 + 3328/11*x^11 + 384*x^10 + 4192/9*x^9 + 448*x^8 + 2752/7*x^7 + 992/3*x^6 + 1136/5*x^5 + 112*x^4 + 112/3*x^3 + 8*x^2 + x","A",0
52,1,57,0,0.710212," ","integrate((4*x^4+4*x^2+4*x+1)^3,x, algorithm=""fricas"")","\frac{64}{13} x^{13} + \frac{192}{11} x^{11} + \frac{96}{5} x^{10} + \frac{80}{3} x^{9} + 48 x^{8} + \frac{352}{7} x^{7} + 48 x^{6} + \frac{252}{5} x^{5} + 40 x^{4} + 20 x^{3} + 6 x^{2} + x"," ",0,"64/13*x^13 + 192/11*x^11 + 96/5*x^10 + 80/3*x^9 + 48*x^8 + 352/7*x^7 + 48*x^6 + 252/5*x^5 + 40*x^4 + 20*x^3 + 6*x^2 + x","A",0
53,1,37,0,0.736181," ","integrate((4*x^4+4*x^2+4*x+1)^2,x, algorithm=""fricas"")","\frac{16}{9} x^{9} + \frac{32}{7} x^{7} + \frac{16}{3} x^{6} + \frac{24}{5} x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + x"," ",0,"16/9*x^9 + 32/7*x^7 + 16/3*x^6 + 24/5*x^5 + 8*x^4 + 8*x^3 + 4*x^2 + x","A",0
54,1,17,0,1.184326," ","integrate(4*x^4+4*x^2+4*x+1,x, algorithm=""fricas"")","\frac{4}{5} x^{5} + \frac{4}{3} x^{3} + 2 x^{2} + x"," ",0,"4/5*x^5 + 4/3*x^3 + 2*x^2 + x","A",0
55,1,499,0,4.088002," ","integrate(1/(4*x^4+4*x^2+4*x+1),x, algorithm=""fricas"")","-\frac{1}{20} \, {\left(\sqrt{10} \sqrt{-\frac{15}{8} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} - \frac{5}{4} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} - \frac{15}{8} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - 9} - 5 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - 5 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}}\right)} \log\left(\frac{5}{2} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} {\left(12 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + 6 i - 1\right)} + 15 \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - \frac{5}{2} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} + {\left({\left(6 \, \sqrt{10} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} - \sqrt{10}\right)} {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} - \sqrt{10} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}\right)} \sqrt{-\frac{15}{8} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} - \frac{5}{4} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} - \frac{15}{8} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - 9} + 8 \, x + 3\right) + \frac{1}{20} \, {\left(\sqrt{10} \sqrt{-\frac{15}{8} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} - \frac{5}{4} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} - \frac{15}{8} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - 9} + 5 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} + 5 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}}\right)} \log\left(\frac{5}{2} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} {\left(12 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + 6 i - 1\right)} + 15 \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - \frac{5}{2} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - {\left({\left(6 \, \sqrt{10} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} - \sqrt{10}\right)} {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} - \sqrt{10} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}\right)} \sqrt{-\frac{15}{8} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} - \frac{5}{4} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} - \frac{15}{8} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - 9} + 8 \, x + 3\right) - \frac{1}{4} \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} \log\left(-5 \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)}^{2} {\left(12 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + 6 i - 1\right)} - 30 \, {\left(2 \, \sqrt{\frac{1}{10} i - \frac{1}{5}} - i\right)} {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} - 30 \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{3} + 8 \, x - 216 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} - 108 i + 21\right) - \frac{1}{4} \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)} \log\left(30 \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{3} + 5 \, {\left(2 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + i\right)}^{2} + 8 \, x + 216 \, \sqrt{-\frac{1}{10} i - \frac{1}{5}} + 108 i - 27\right)"," ",0,"-1/20*(sqrt(10)*sqrt(-15/8*(2*sqrt(1/10*I - 1/5) - I)^2 - 5/4*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I) - 15/8*(2*sqrt(-1/10*I - 1/5) + I)^2 - 9) - 5*sqrt(1/10*I - 1/5) - 5*sqrt(-1/10*I - 1/5))*log(5/2*(2*sqrt(1/10*I - 1/5) - I)^2*(12*sqrt(-1/10*I - 1/5) + 6*I - 1) + 15*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I)^2 - 5/2*(2*sqrt(-1/10*I - 1/5) + I)^2 + ((6*sqrt(10)*(2*sqrt(-1/10*I - 1/5) + I) - sqrt(10))*(2*sqrt(1/10*I - 1/5) - I) - sqrt(10)*(2*sqrt(-1/10*I - 1/5) + I))*sqrt(-15/8*(2*sqrt(1/10*I - 1/5) - I)^2 - 5/4*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I) - 15/8*(2*sqrt(-1/10*I - 1/5) + I)^2 - 9) + 8*x + 3) + 1/20*(sqrt(10)*sqrt(-15/8*(2*sqrt(1/10*I - 1/5) - I)^2 - 5/4*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I) - 15/8*(2*sqrt(-1/10*I - 1/5) + I)^2 - 9) + 5*sqrt(1/10*I - 1/5) + 5*sqrt(-1/10*I - 1/5))*log(5/2*(2*sqrt(1/10*I - 1/5) - I)^2*(12*sqrt(-1/10*I - 1/5) + 6*I - 1) + 15*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I)^2 - 5/2*(2*sqrt(-1/10*I - 1/5) + I)^2 - ((6*sqrt(10)*(2*sqrt(-1/10*I - 1/5) + I) - sqrt(10))*(2*sqrt(1/10*I - 1/5) - I) - sqrt(10)*(2*sqrt(-1/10*I - 1/5) + I))*sqrt(-15/8*(2*sqrt(1/10*I - 1/5) - I)^2 - 5/4*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I) - 15/8*(2*sqrt(-1/10*I - 1/5) + I)^2 - 9) + 8*x + 3) - 1/4*(2*sqrt(1/10*I - 1/5) - I)*log(-5*(2*sqrt(1/10*I - 1/5) - I)^2*(12*sqrt(-1/10*I - 1/5) + 6*I - 1) - 30*(2*sqrt(1/10*I - 1/5) - I)*(2*sqrt(-1/10*I - 1/5) + I)^2 - 30*(2*sqrt(-1/10*I - 1/5) + I)^3 + 8*x - 216*sqrt(-1/10*I - 1/5) - 108*I + 21) - 1/4*(2*sqrt(-1/10*I - 1/5) + I)*log(30*(2*sqrt(-1/10*I - 1/5) + I)^3 + 5*(2*sqrt(-1/10*I - 1/5) + I)^2 + 8*x + 216*sqrt(-1/10*I - 1/5) + 108*I - 27)","C",0
56,1,704,0,3.888491," ","integrate(1/(4*x^4+4*x^2+4*x+1)^2,x, algorithm=""fricas"")","\frac{720 \, x^{3} - 50 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} \log\left(33368250 \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{3} - \frac{11755375}{4} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} + 541735337 \, x + 25784243612 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 45122426321 i - 71080995\right) - 50 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} \log\left(-33368250 \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{3} - \frac{125}{4} \, {\left(4271136 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7474488 i + 94043\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} - 25 \, {\left(1334730 \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} + 219601\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} + 541735337 \, x - 25806203712 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} - 45160856496 i - 355111539\right) - 320 \, x^{2} - {\left(4 \, \sqrt{10} {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} \sqrt{-\frac{375}{32} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} - \frac{125}{16} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} - \frac{375}{32} \, {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} - 3021} - 25 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} - 25 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}\right)} \log\left(\frac{125}{8} \, {\left(4271136 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7474488 i + 94043\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} + \frac{11755375}{8} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} + \frac{25}{2} \, {\left(1334730 \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} + 219601\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} + \frac{1}{2} \, \sqrt{-\frac{375}{32} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} - \frac{125}{16} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} - \frac{375}{32} \, {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} - 3021} {\left(5 \, {\left(1067784 \, \sqrt{10} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} + 94043 \, \sqrt{10}\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} + 470215 \, \sqrt{10} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} - 878404 \, \sqrt{10}\right)} + 541735337 \, x + 10980050 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + \frac{38430175}{2} i + 213096267\right) + {\left(4 \, \sqrt{10} {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} \sqrt{-\frac{375}{32} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} - \frac{125}{16} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} - \frac{375}{32} \, {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} - 3021} + 25 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} + 25 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}\right)} \log\left(\frac{125}{8} \, {\left(4271136 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7474488 i + 94043\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} + \frac{11755375}{8} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} + \frac{25}{2} \, {\left(1334730 \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} + 219601\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} - \frac{1}{2} \, \sqrt{-\frac{375}{32} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)}^{2} - \frac{125}{16} \, {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} - \frac{375}{32} \, {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)}^{2} - 3021} {\left(5 \, {\left(1067784 \, \sqrt{10} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} + 94043 \, \sqrt{10}\right)} {\left(4 \, \sqrt{-\frac{19}{1000} i - \frac{5959}{2000}} - 7 i\right)} + 470215 \, \sqrt{10} {\left(4 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + 7 i\right)} - 878404 \, \sqrt{10}\right)} + 541735337 \, x + 10980050 \, \sqrt{\frac{19}{1000} i - \frac{5959}{2000}} + \frac{38430175}{2} i + 213096267\right) + 840 \, x + 380}{400 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)}}"," ",0,"1/400*(720*x^3 - 50*(4*x^4 + 4*x^2 + 4*x + 1)*(4*sqrt(19/1000*I - 5959/2000) + 7*I)*log(33368250*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^3 - 11755375/4*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 + 541735337*x + 25784243612*sqrt(19/1000*I - 5959/2000) + 45122426321*I - 71080995) - 50*(4*x^4 + 4*x^2 + 4*x + 1)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)*log(-33368250*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^3 - 125/4*(4271136*sqrt(19/1000*I - 5959/2000) + 7474488*I + 94043)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 - 25*(1334730*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 + 219601)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) + 541735337*x - 25806203712*sqrt(19/1000*I - 5959/2000) - 45160856496*I - 355111539) - 320*x^2 - (4*sqrt(10)*(4*x^4 + 4*x^2 + 4*x + 1)*sqrt(-375/32*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 - 125/16*(4*sqrt(19/1000*I - 5959/2000) + 7*I)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) - 375/32*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 - 3021) - 25*(4*x^4 + 4*x^2 + 4*x + 1)*(4*sqrt(19/1000*I - 5959/2000) + 7*I) - 25*(4*x^4 + 4*x^2 + 4*x + 1)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I))*log(125/8*(4271136*sqrt(19/1000*I - 5959/2000) + 7474488*I + 94043)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 + 11755375/8*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 + 25/2*(1334730*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 + 219601)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) + 1/2*sqrt(-375/32*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 - 125/16*(4*sqrt(19/1000*I - 5959/2000) + 7*I)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) - 375/32*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 - 3021)*(5*(1067784*sqrt(10)*(4*sqrt(19/1000*I - 5959/2000) + 7*I) + 94043*sqrt(10))*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) + 470215*sqrt(10)*(4*sqrt(19/1000*I - 5959/2000) + 7*I) - 878404*sqrt(10)) + 541735337*x + 10980050*sqrt(19/1000*I - 5959/2000) + 38430175/2*I + 213096267) + (4*sqrt(10)*(4*x^4 + 4*x^2 + 4*x + 1)*sqrt(-375/32*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 - 125/16*(4*sqrt(19/1000*I - 5959/2000) + 7*I)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) - 375/32*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 - 3021) + 25*(4*x^4 + 4*x^2 + 4*x + 1)*(4*sqrt(19/1000*I - 5959/2000) + 7*I) + 25*(4*x^4 + 4*x^2 + 4*x + 1)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I))*log(125/8*(4271136*sqrt(19/1000*I - 5959/2000) + 7474488*I + 94043)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 + 11755375/8*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 + 25/2*(1334730*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 + 219601)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) - 1/2*sqrt(-375/32*(4*sqrt(19/1000*I - 5959/2000) + 7*I)^2 - 125/16*(4*sqrt(19/1000*I - 5959/2000) + 7*I)*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) - 375/32*(4*sqrt(-19/1000*I - 5959/2000) - 7*I)^2 - 3021)*(5*(1067784*sqrt(10)*(4*sqrt(19/1000*I - 5959/2000) + 7*I) + 94043*sqrt(10))*(4*sqrt(-19/1000*I - 5959/2000) - 7*I) + 470215*sqrt(10)*(4*sqrt(19/1000*I - 5959/2000) + 7*I) - 878404*sqrt(10)) + 541735337*x + 10980050*sqrt(19/1000*I - 5959/2000) + 38430175/2*I + 213096267) + 840*x + 380)/(4*x^4 + 4*x^2 + 4*x + 1)","C",0
57,1,84,0,0.614461," ","integrate((8*x^4-15*x^3+8*x^2+24*x+8)^4,x, algorithm=""fricas"")","\frac{4096}{17} x^{17} - 1920 x^{16} + \frac{102784}{15} x^{15} - \frac{75504}{7} x^{14} - \frac{12095}{13} x^{13} + 31128 x^{12} - \frac{331040}{11} x^{11} - \frac{169584}{5} x^{10} + \frac{641152}{9} x^{9} + 36384 x^{8} - \frac{566912}{7} x^{7} - 30720 x^{6} + \frac{538624}{5} x^{5} + 139776 x^{4} + \frac{237568}{3} x^{3} + 24576 x^{2} + 4096 x"," ",0,"4096/17*x^17 - 1920*x^16 + 102784/15*x^15 - 75504/7*x^14 - 12095/13*x^13 + 31128*x^12 - 331040/11*x^11 - 169584/5*x^10 + 641152/9*x^9 + 36384*x^8 - 566912/7*x^7 - 30720*x^6 + 538624/5*x^5 + 139776*x^4 + 237568/3*x^3 + 24576*x^2 + 4096*x","A",0
58,1,64,0,0.393077," ","integrate((8*x^4-15*x^3+8*x^2+24*x+8)^3,x, algorithm=""fricas"")","\frac{512}{13} x^{13} - 240 x^{12} + \frac{6936}{11} x^{11} - \frac{4527}{10} x^{10} - \frac{2936}{3} x^{9} + 2097 x^{8} + \frac{5528}{7} x^{7} - 2976 x^{6} - \frac{384}{5} x^{5} + 5040 x^{4} + 5120 x^{3} + 2304 x^{2} + 512 x"," ",0,"512/13*x^13 - 240*x^12 + 6936/11*x^11 - 4527/10*x^10 - 2936/3*x^9 + 2097*x^8 + 5528/7*x^7 - 2976*x^6 - 384/5*x^5 + 5040*x^4 + 5120*x^3 + 2304*x^2 + 512*x","A",0
59,1,44,0,0.856942," ","integrate((8*x^4-15*x^3+8*x^2+24*x+8)^2,x, algorithm=""fricas"")","\frac{64}{9} x^{9} - 30 x^{8} + \frac{353}{7} x^{7} + 24 x^{6} - \frac{528}{5} x^{5} + 36 x^{4} + \frac{704}{3} x^{3} + 192 x^{2} + 64 x"," ",0,"64/9*x^9 - 30*x^8 + 353/7*x^7 + 24*x^6 - 528/5*x^5 + 36*x^4 + 704/3*x^3 + 192*x^2 + 64*x","A",0
60,1,24,0,0.731834," ","integrate(8*x^4-15*x^3+8*x^2+24*x+8,x, algorithm=""fricas"")","\frac{8}{5} x^{5} - \frac{15}{4} x^{4} + \frac{8}{3} x^{3} + 12 x^{2} + 8 x"," ",0,"8/5*x^5 - 15/4*x^4 + 8/3*x^3 + 12*x^2 + 8*x","A",0
61,-1,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,1,163,0,0.922952," ","integrate((b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^3,x, algorithm=""fricas"")","\frac{1}{16} x^{16} b^{15} + x^{15} b^{14} a + \frac{15}{2} x^{14} b^{13} a^{2} + 35 x^{13} b^{12} a^{3} + \frac{455}{4} x^{12} b^{11} a^{4} + 273 x^{11} b^{10} a^{5} + \frac{1001}{2} x^{10} b^{9} a^{6} + 715 x^{9} b^{8} a^{7} + \frac{6435}{8} x^{8} b^{7} a^{8} + 715 x^{7} b^{6} a^{9} + \frac{1001}{2} x^{6} b^{5} a^{10} + 273 x^{5} b^{4} a^{11} + \frac{455}{4} x^{4} b^{3} a^{12} + 35 x^{3} b^{2} a^{13} + \frac{15}{2} x^{2} b a^{14} + x a^{15}"," ",0,"1/16*x^16*b^15 + x^15*b^14*a + 15/2*x^14*b^13*a^2 + 35*x^13*b^12*a^3 + 455/4*x^12*b^11*a^4 + 273*x^11*b^10*a^5 + 1001/2*x^10*b^9*a^6 + 715*x^9*b^8*a^7 + 6435/8*x^8*b^7*a^8 + 715*x^7*b^6*a^9 + 1001/2*x^6*b^5*a^10 + 273*x^5*b^4*a^11 + 455/4*x^4*b^3*a^12 + 35*x^3*b^2*a^13 + 15/2*x^2*b*a^14 + x*a^15","B",0
64,1,108,0,1.015102," ","integrate((b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} b^{10} + x^{10} b^{9} a + 5 x^{9} b^{8} a^{2} + 15 x^{8} b^{7} a^{3} + 30 x^{7} b^{6} a^{4} + 42 x^{6} b^{5} a^{5} + 42 x^{5} b^{4} a^{6} + 30 x^{4} b^{3} a^{7} + 15 x^{3} b^{2} a^{8} + 5 x^{2} b a^{9} + x a^{10}"," ",0,"1/11*x^11*b^10 + x^10*b^9*a + 5*x^9*b^8*a^2 + 15*x^8*b^7*a^3 + 30*x^7*b^6*a^4 + 42*x^6*b^5*a^5 + 42*x^5*b^4*a^6 + 30*x^4*b^3*a^7 + 15*x^3*b^2*a^8 + 5*x^2*b*a^9 + x*a^10","B",0
65,1,53,0,0.845081," ","integrate(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5,x, algorithm=""fricas"")","\frac{1}{6} x^{6} b^{5} + x^{5} b^{4} a + \frac{5}{2} x^{4} b^{3} a^{2} + \frac{10}{3} x^{3} b^{2} a^{3} + \frac{5}{2} x^{2} b a^{4} + x a^{5}"," ",0,"1/6*x^6*b^5 + x^5*b^4*a + 5/2*x^4*b^3*a^2 + 10/3*x^3*b^2*a^3 + 5/2*x^2*b*a^4 + x*a^5","B",0
66,1,46,0,0.773196," ","integrate(1/(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5),x, algorithm=""fricas"")","-\frac{1}{4 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}}"," ",0,"-1/4/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b)","B",0
67,1,101,0,1.168643," ","integrate(1/(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^2,x, algorithm=""fricas"")","-\frac{1}{9 \, {\left(b^{10} x^{9} + 9 \, a b^{9} x^{8} + 36 \, a^{2} b^{8} x^{7} + 84 \, a^{3} b^{7} x^{6} + 126 \, a^{4} b^{6} x^{5} + 126 \, a^{5} b^{5} x^{4} + 84 \, a^{6} b^{4} x^{3} + 36 \, a^{7} b^{3} x^{2} + 9 \, a^{8} b^{2} x + a^{9} b\right)}}"," ",0,"-1/9/(b^10*x^9 + 9*a*b^9*x^8 + 36*a^2*b^8*x^7 + 84*a^3*b^7*x^6 + 126*a^4*b^6*x^5 + 126*a^5*b^5*x^4 + 84*a^6*b^4*x^3 + 36*a^7*b^3*x^2 + 9*a^8*b^2*x + a^9*b)","B",0
68,1,156,0,1.127719," ","integrate(1/(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^3,x, algorithm=""fricas"")","-\frac{1}{14 \, {\left(b^{15} x^{14} + 14 \, a b^{14} x^{13} + 91 \, a^{2} b^{13} x^{12} + 364 \, a^{3} b^{12} x^{11} + 1001 \, a^{4} b^{11} x^{10} + 2002 \, a^{5} b^{10} x^{9} + 3003 \, a^{6} b^{9} x^{8} + 3432 \, a^{7} b^{8} x^{7} + 3003 \, a^{8} b^{7} x^{6} + 2002 \, a^{9} b^{6} x^{5} + 1001 \, a^{10} b^{5} x^{4} + 364 \, a^{11} b^{4} x^{3} + 91 \, a^{12} b^{3} x^{2} + 14 \, a^{13} b^{2} x + a^{14} b\right)}}"," ",0,"-1/14/(b^15*x^14 + 14*a*b^14*x^13 + 91*a^2*b^13*x^12 + 364*a^3*b^12*x^11 + 1001*a^4*b^11*x^10 + 2002*a^5*b^10*x^9 + 3003*a^6*b^9*x^8 + 3432*a^7*b^8*x^7 + 3003*a^8*b^7*x^6 + 2002*a^9*b^6*x^5 + 1001*a^10*b^5*x^4 + 364*a^11*b^4*x^3 + 91*a^12*b^3*x^2 + 14*a^13*b^2*x + a^14*b)","B",0
69,1,30,0,1.003802," ","integrate(1/(x^5+x^3+x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{3} \, \log\left(x^{2} - x + 1\right) + \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/3*log(x^2 - x + 1) + 1/4*log(x^2 + 1) + 1/6*log(x + 1)","A",0
70,1,64,0,1.067653," ","integrate((-16*x^6+32*x^4-19*x^2+3)^4,x, algorithm=""fricas"")","\frac{65536}{25} x^{25} - \frac{524288}{23} x^{23} + \frac{1884160}{21} x^{21} - \frac{4014080}{19} x^{19} + \frac{5633536}{17} x^{17} - \frac{1094656}{3} x^{15} + \frac{3764416}{13} x^{13} - \frac{1841600}{11} x^{11} + \frac{634321}{9} x^{9} - \frac{149700}{7} x^{7} + 4590 x^{5} - 684 x^{3} + 81 x"," ",0,"65536/25*x^25 - 524288/23*x^23 + 1884160/21*x^21 - 4014080/19*x^19 + 5633536/17*x^17 - 1094656/3*x^15 + 3764416/13*x^13 - 1841600/11*x^11 + 634321/9*x^9 - 149700/7*x^7 + 4590*x^5 - 684*x^3 + 81*x","A",0
71,1,49,0,1.102126," ","integrate((-16*x^6+32*x^4-19*x^2+3)^3,x, algorithm=""fricas"")","-\frac{4096}{19} x^{19} + \frac{24576}{17} x^{17} - \frac{21248}{5} x^{15} + \frac{93440}{13} x^{13} - \frac{84912}{11} x^{11} + \frac{16448}{3} x^{9} - 2605 x^{7} + \frac{4113}{5} x^{5} - 171 x^{3} + 27 x"," ",0,"-4096/19*x^19 + 24576/17*x^17 - 21248/5*x^15 + 93440/13*x^13 - 84912/11*x^11 + 16448/3*x^9 - 2605*x^7 + 4113/5*x^5 - 171*x^3 + 27*x","A",0
72,1,34,0,0.995218," ","integrate((-16*x^6+32*x^4-19*x^2+3)^2,x, algorithm=""fricas"")","\frac{256}{13} x^{13} - \frac{1024}{11} x^{11} + \frac{544}{3} x^{9} - \frac{1312}{7} x^{7} + \frac{553}{5} x^{5} - 38 x^{3} + 9 x"," ",0,"256/13*x^13 - 1024/11*x^11 + 544/3*x^9 - 1312/7*x^7 + 553/5*x^5 - 38*x^3 + 9*x","A",0
73,1,19,0,1.002944," ","integrate(-16*x^6+32*x^4-19*x^2+3,x, algorithm=""fricas"")","-\frac{16}{7} x^{7} + \frac{32}{5} x^{5} - \frac{19}{3} x^{3} + 3 x"," ",0,"-16/7*x^7 + 32/5*x^5 - 19/3*x^3 + 3*x","A",0
74,1,56,0,1.251306," ","integrate(1/(-16*x^6+32*x^4-19*x^2+3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{4 \, x^{2} - 4 \, \sqrt{3} x + 3}{4 \, x^{2} - 3}\right) + \frac{1}{6} \, \log\left(2 \, x^{2} + 3 \, x + 1\right) - \frac{1}{6} \, \log\left(2 \, x^{2} - 3 \, x + 1\right)"," ",0,"1/6*sqrt(3)*log((4*x^2 - 4*sqrt(3)*x + 3)/(4*x^2 - 3)) + 1/6*log(2*x^2 + 3*x + 1) - 1/6*log(2*x^2 - 3*x + 1)","B",0
75,1,177,0,1.189644," ","integrate(1/(-16*x^6+32*x^4-19*x^2+3)^2,x, algorithm=""fricas"")","-\frac{480 \, x^{5} - 624 \, x^{3} - 30 \, \sqrt{3} {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)} \log\left(\frac{4 \, x^{2} - 4 \, \sqrt{3} x + 3}{4 \, x^{2} - 3}\right) + 14 \, {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)} \log\left(2 \, x + 1\right) - 14 \, {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)} \log\left(2 \, x - 1\right) - 67 \, {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)} \log\left(x + 1\right) + 67 \, {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)} \log\left(x - 1\right) + 162 \, x}{108 \, {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)}}"," ",0,"-1/108*(480*x^5 - 624*x^3 - 30*sqrt(3)*(16*x^6 - 32*x^4 + 19*x^2 - 3)*log((4*x^2 - 4*sqrt(3)*x + 3)/(4*x^2 - 3)) + 14*(16*x^6 - 32*x^4 + 19*x^2 - 3)*log(2*x + 1) - 14*(16*x^6 - 32*x^4 + 19*x^2 - 3)*log(2*x - 1) - 67*(16*x^6 - 32*x^4 + 19*x^2 - 3)*log(x + 1) + 67*(16*x^6 - 32*x^4 + 19*x^2 - 3)*log(x - 1) + 162*x)/(16*x^6 - 32*x^4 + 19*x^2 - 3)","B",0
76,1,282,0,1.300692," ","integrate(1/(-16*x^6+32*x^4-19*x^2+3)^3,x, algorithm=""fricas"")","-\frac{219648 \, x^{11} - 668160 \, x^{9} + 751680 \, x^{7} - 382080 \, x^{5} + 85986 \, x^{3} - 2412 \, \sqrt{3} {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)} \log\left(\frac{4 \, x^{2} - 4 \, \sqrt{3} x + 3}{4 \, x^{2} - 3}\right) - 268 \, {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)} \log\left(2 \, x + 1\right) + 268 \, {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)} \log\left(2 \, x - 1\right) - 3913 \, {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)} \log\left(x + 1\right) + 3913 \, {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)} \log\left(x - 1\right) - 7182 \, x}{1296 \, {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)}}"," ",0,"-1/1296*(219648*x^11 - 668160*x^9 + 751680*x^7 - 382080*x^5 + 85986*x^3 - 2412*sqrt(3)*(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9)*log((4*x^2 - 4*sqrt(3)*x + 3)/(4*x^2 - 3)) - 268*(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9)*log(2*x + 1) + 268*(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9)*log(2*x - 1) - 3913*(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9)*log(x + 1) + 3913*(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9)*log(x - 1) - 7182*x)/(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9)","B",0
77,1,223,0,1.315507," ","integrate(1/(x^6-7*x^4+7*x^2-1)^2,x, algorithm=""fricas"")","-\frac{168 \, x^{5} - 1120 \, x^{3} - 3 \, \sqrt{2} {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(\frac{x^{2} + 2 \, \sqrt{2} {\left(x + 1\right)} + 2 \, x + 3}{x^{2} + 2 \, x - 1}\right) - 3 \, \sqrt{2} {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(\frac{x^{2} + 2 \, \sqrt{2} {\left(x - 1\right)} - 2 \, x + 3}{x^{2} - 2 \, x - 1}\right) + 4 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x^{2} + 2 \, x - 1\right) - 4 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x^{2} - 2 \, x - 1\right) - 80 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x + 1\right) + 80 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x - 1\right) + 824 \, x}{1024 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)}}"," ",0,"-1/1024*(168*x^5 - 1120*x^3 - 3*sqrt(2)*(x^6 - 7*x^4 + 7*x^2 - 1)*log((x^2 + 2*sqrt(2)*(x + 1) + 2*x + 3)/(x^2 + 2*x - 1)) - 3*sqrt(2)*(x^6 - 7*x^4 + 7*x^2 - 1)*log((x^2 + 2*sqrt(2)*(x - 1) - 2*x + 3)/(x^2 - 2*x - 1)) + 4*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x^2 + 2*x - 1) - 4*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x^2 - 2*x - 1) - 80*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x + 1) + 80*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x - 1) + 824*x)/(x^6 - 7*x^4 + 7*x^2 - 1)","B",0
78,1,198,0,1.198862," ","integrate(x^3/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[\frac{b^{2} c x^{2} - 4 \, a b c x + {\left(a^{3} - 3 \, a c\right)} \sqrt{-c} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right) + {\left(3 \, a^{2} c - c^{2}\right)} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, b^{4} c}, \frac{b^{2} c x^{2} - 4 \, a b c x - 2 \, {\left(a^{3} - 3 \, a c\right)} \sqrt{c} \arctan\left(\frac{b x + a}{\sqrt{c}}\right) + {\left(3 \, a^{2} c - c^{2}\right)} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, b^{4} c}\right]"," ",0,"[1/2*(b^2*c*x^2 - 4*a*b*c*x + (a^3 - 3*a*c)*sqrt(-c)*log((b^2*x^2 + 2*a*b*x + a^2 - 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c)) + (3*a^2*c - c^2)*log(b^2*x^2 + 2*a*b*x + a^2 + c))/(b^4*c), 1/2*(b^2*c*x^2 - 4*a*b*c*x - 2*(a^3 - 3*a*c)*sqrt(c)*arctan((b*x + a)/sqrt(c)) + (3*a^2*c - c^2)*log(b^2*x^2 + 2*a*b*x + a^2 + c))/(b^4*c)]","A",0
79,1,157,0,1.226084," ","integrate(x^2/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[\frac{2 \, b c x - 2 \, a c \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) + {\left(a^{2} - c\right)} \sqrt{-c} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} + 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right)}{2 \, b^{3} c}, \frac{b c x - a c \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) + {\left(a^{2} - c\right)} \sqrt{c} \arctan\left(\frac{b x + a}{\sqrt{c}}\right)}{b^{3} c}\right]"," ",0,"[1/2*(2*b*c*x - 2*a*c*log(b^2*x^2 + 2*a*b*x + a^2 + c) + (a^2 - c)*sqrt(-c)*log((b^2*x^2 + 2*a*b*x + a^2 + 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c)))/(b^3*c), (b*c*x - a*c*log(b^2*x^2 + 2*a*b*x + a^2 + c) + (a^2 - c)*sqrt(c)*arctan((b*x + a)/sqrt(c)))/(b^3*c)]","A",0
80,1,136,0,1.154949," ","integrate(x/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[-\frac{a \sqrt{-c} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} + 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right) - c \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, b^{2} c}, -\frac{2 \, a \sqrt{c} \arctan\left(\frac{b x + a}{\sqrt{c}}\right) - c \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, b^{2} c}\right]"," ",0,"[-1/2*(a*sqrt(-c)*log((b^2*x^2 + 2*a*b*x + a^2 + 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c)) - c*log(b^2*x^2 + 2*a*b*x + a^2 + c))/(b^2*c), -1/2*(2*a*sqrt(c)*arctan((b*x + a)/sqrt(c)) - c*log(b^2*x^2 + 2*a*b*x + a^2 + c))/(b^2*c)]","A",0
81,1,83,0,0.880864," ","integrate(1/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right)}{2 \, b c}, \frac{\arctan\left(\frac{b x + a}{\sqrt{c}}\right)}{b \sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log((b^2*x^2 + 2*a*b*x + a^2 - 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c))/(b*c), arctan((b*x + a)/sqrt(c))/(b*sqrt(c))]","A",0
82,1,154,0,1.244467," ","integrate(1/x/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[-\frac{a \sqrt{-c} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} + 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right) + c \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) - 2 \, c \log\left(x\right)}{2 \, {\left(a^{2} c + c^{2}\right)}}, -\frac{2 \, a \sqrt{c} \arctan\left(\frac{b x + a}{\sqrt{c}}\right) + c \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) - 2 \, c \log\left(x\right)}{2 \, {\left(a^{2} c + c^{2}\right)}}\right]"," ",0,"[-1/2*(a*sqrt(-c)*log((b^2*x^2 + 2*a*b*x + a^2 + 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c)) + c*log(b^2*x^2 + 2*a*b*x + a^2 + c) - 2*c*log(x))/(a^2*c + c^2), -1/2*(2*a*sqrt(c)*arctan((b*x + a)/sqrt(c)) + c*log(b^2*x^2 + 2*a*b*x + a^2 + c) - 2*c*log(x))/(a^2*c + c^2)]","A",0
83,1,229,0,1.138385," ","integrate(1/x^2/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[\frac{2 \, a b c x \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) - 4 \, a b c x \log\left(x\right) + {\left(a^{2} b - b c\right)} \sqrt{-c} x \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} + 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right) - 2 \, a^{2} c - 2 \, c^{2}}{2 \, {\left(a^{4} c + 2 \, a^{2} c^{2} + c^{3}\right)} x}, \frac{a b c x \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) - 2 \, a b c x \log\left(x\right) + {\left(a^{2} b - b c\right)} \sqrt{c} x \arctan\left(\frac{b x + a}{\sqrt{c}}\right) - a^{2} c - c^{2}}{{\left(a^{4} c + 2 \, a^{2} c^{2} + c^{3}\right)} x}\right]"," ",0,"[1/2*(2*a*b*c*x*log(b^2*x^2 + 2*a*b*x + a^2 + c) - 4*a*b*c*x*log(x) + (a^2*b - b*c)*sqrt(-c)*x*log((b^2*x^2 + 2*a*b*x + a^2 + 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c)) - 2*a^2*c - 2*c^2)/((a^4*c + 2*a^2*c^2 + c^3)*x), (a*b*c*x*log(b^2*x^2 + 2*a*b*x + a^2 + c) - 2*a*b*c*x*log(x) + (a^2*b - b*c)*sqrt(c)*x*arctan((b*x + a)/sqrt(c)) - a^2*c - c^2)/((a^4*c + 2*a^2*c^2 + c^3)*x)]","A",0
84,1,371,0,1.437652," ","integrate(1/x^3/(c+(b*x+a)^2),x, algorithm=""fricas"")","\left[-\frac{a^{4} c - {\left(a^{3} b^{2} - 3 \, a b^{2} c\right)} \sqrt{-c} x^{2} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - 2 \, {\left(b x + a\right)} \sqrt{-c} - c}{b^{2} x^{2} + 2 \, a b x + a^{2} + c}\right) + 2 \, a^{2} c^{2} + {\left(3 \, a^{2} b^{2} c - b^{2} c^{2}\right)} x^{2} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) - 2 \, {\left(3 \, a^{2} b^{2} c - b^{2} c^{2}\right)} x^{2} \log\left(x\right) + c^{3} - 4 \, {\left(a^{3} b c + a b c^{2}\right)} x}{2 \, {\left(a^{6} c + 3 \, a^{4} c^{2} + 3 \, a^{2} c^{3} + c^{4}\right)} x^{2}}, -\frac{a^{4} c + 2 \, {\left(a^{3} b^{2} - 3 \, a b^{2} c\right)} \sqrt{c} x^{2} \arctan\left(\frac{b x + a}{\sqrt{c}}\right) + 2 \, a^{2} c^{2} + {\left(3 \, a^{2} b^{2} c - b^{2} c^{2}\right)} x^{2} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right) - 2 \, {\left(3 \, a^{2} b^{2} c - b^{2} c^{2}\right)} x^{2} \log\left(x\right) + c^{3} - 4 \, {\left(a^{3} b c + a b c^{2}\right)} x}{2 \, {\left(a^{6} c + 3 \, a^{4} c^{2} + 3 \, a^{2} c^{3} + c^{4}\right)} x^{2}}\right]"," ",0,"[-1/2*(a^4*c - (a^3*b^2 - 3*a*b^2*c)*sqrt(-c)*x^2*log((b^2*x^2 + 2*a*b*x + a^2 - 2*(b*x + a)*sqrt(-c) - c)/(b^2*x^2 + 2*a*b*x + a^2 + c)) + 2*a^2*c^2 + (3*a^2*b^2*c - b^2*c^2)*x^2*log(b^2*x^2 + 2*a*b*x + a^2 + c) - 2*(3*a^2*b^2*c - b^2*c^2)*x^2*log(x) + c^3 - 4*(a^3*b*c + a*b*c^2)*x)/((a^6*c + 3*a^4*c^2 + 3*a^2*c^3 + c^4)*x^2), -1/2*(a^4*c + 2*(a^3*b^2 - 3*a*b^2*c)*sqrt(c)*x^2*arctan((b*x + a)/sqrt(c)) + 2*a^2*c^2 + (3*a^2*b^2*c - b^2*c^2)*x^2*log(b^2*x^2 + 2*a*b*x + a^2 + c) - 2*(3*a^2*b^2*c - b^2*c^2)*x^2*log(x) + c^3 - 4*(a^3*b*c + a*b*c^2)*x)/((a^6*c + 3*a^4*c^2 + 3*a^2*c^3 + c^4)*x^2)]","A",0
85,1,109,0,1.272654," ","integrate(1/(a+b*(d*x+c)^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b d^{2} x^{2} + 2 \, b c d x + b c^{2} - 2 \, \sqrt{-a b} {\left(d x + c\right)} - a}{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}\right)}{2 \, a b d}, \frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} {\left(d x + c\right)}}{a}\right)}{a b d}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*d^2*x^2 + 2*b*c*d*x + b*c^2 - 2*sqrt(-a*b)*(d*x + c) - a)/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(a*b*d), sqrt(a*b)*arctan(sqrt(a*b)*(d*x + c)/a)/(a*b*d)]","A",0
86,1,253,0,1.118119," ","integrate(1/(a+b*(d*x+c)^2)^2,x, algorithm=""fricas"")","\left[\frac{2 \, a b d x + 2 \, a b c - {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a\right)} \sqrt{-a b} \log\left(\frac{b d^{2} x^{2} + 2 \, b c d x + b c^{2} - 2 \, \sqrt{-a b} {\left(d x + c\right)} - a}{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}\right)}{4 \, {\left(a^{2} b^{2} d^{3} x^{2} + 2 \, a^{2} b^{2} c d^{2} x + {\left(a^{2} b^{2} c^{2} + a^{3} b\right)} d\right)}}, \frac{a b d x + a b c + {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} {\left(d x + c\right)}}{a}\right)}{2 \, {\left(a^{2} b^{2} d^{3} x^{2} + 2 \, a^{2} b^{2} c d^{2} x + {\left(a^{2} b^{2} c^{2} + a^{3} b\right)} d\right)}}\right]"," ",0,"[1/4*(2*a*b*d*x + 2*a*b*c - (b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)*sqrt(-a*b)*log((b*d^2*x^2 + 2*b*c*d*x + b*c^2 - 2*sqrt(-a*b)*(d*x + c) - a)/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)))/(a^2*b^2*d^3*x^2 + 2*a^2*b^2*c*d^2*x + (a^2*b^2*c^2 + a^3*b)*d), 1/2*(a*b*d*x + a*b*c + (b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)*sqrt(a*b)*arctan(sqrt(a*b)*(d*x + c)/a))/(a^2*b^2*d^3*x^2 + 2*a^2*b^2*c*d^2*x + (a^2*b^2*c^2 + a^3*b)*d)]","A",0
87,1,595,0,1.256528," ","integrate(1/(a+b*(d*x+c)^2)^3,x, algorithm=""fricas"")","\left[\frac{6 \, a b^{2} d^{3} x^{3} + 18 \, a b^{2} c d^{2} x^{2} + 6 \, a b^{2} c^{3} + 10 \, a^{2} b c + 2 \, {\left(9 \, a b^{2} c^{2} + 5 \, a^{2} b\right)} d x - 3 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + b^{2} c^{4} + 2 \, {\left(3 \, b^{2} c^{2} + a b\right)} d^{2} x^{2} + 2 \, a b c^{2} + 4 \, {\left(b^{2} c^{3} + a b c\right)} d x + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b d^{2} x^{2} + 2 \, b c d x + b c^{2} - 2 \, \sqrt{-a b} {\left(d x + c\right)} - a}{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}\right)}{16 \, {\left(a^{3} b^{3} d^{5} x^{4} + 4 \, a^{3} b^{3} c d^{4} x^{3} + 2 \, {\left(3 \, a^{3} b^{3} c^{2} + a^{4} b^{2}\right)} d^{3} x^{2} + 4 \, {\left(a^{3} b^{3} c^{3} + a^{4} b^{2} c\right)} d^{2} x + {\left(a^{3} b^{3} c^{4} + 2 \, a^{4} b^{2} c^{2} + a^{5} b\right)} d\right)}}, \frac{3 \, a b^{2} d^{3} x^{3} + 9 \, a b^{2} c d^{2} x^{2} + 3 \, a b^{2} c^{3} + 5 \, a^{2} b c + {\left(9 \, a b^{2} c^{2} + 5 \, a^{2} b\right)} d x + 3 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + b^{2} c^{4} + 2 \, {\left(3 \, b^{2} c^{2} + a b\right)} d^{2} x^{2} + 2 \, a b c^{2} + 4 \, {\left(b^{2} c^{3} + a b c\right)} d x + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} {\left(d x + c\right)}}{a}\right)}{8 \, {\left(a^{3} b^{3} d^{5} x^{4} + 4 \, a^{3} b^{3} c d^{4} x^{3} + 2 \, {\left(3 \, a^{3} b^{3} c^{2} + a^{4} b^{2}\right)} d^{3} x^{2} + 4 \, {\left(a^{3} b^{3} c^{3} + a^{4} b^{2} c\right)} d^{2} x + {\left(a^{3} b^{3} c^{4} + 2 \, a^{4} b^{2} c^{2} + a^{5} b\right)} d\right)}}\right]"," ",0,"[1/16*(6*a*b^2*d^3*x^3 + 18*a*b^2*c*d^2*x^2 + 6*a*b^2*c^3 + 10*a^2*b*c + 2*(9*a*b^2*c^2 + 5*a^2*b)*d*x - 3*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + b^2*c^4 + 2*(3*b^2*c^2 + a*b)*d^2*x^2 + 2*a*b*c^2 + 4*(b^2*c^3 + a*b*c)*d*x + a^2)*sqrt(-a*b)*log((b*d^2*x^2 + 2*b*c*d*x + b*c^2 - 2*sqrt(-a*b)*(d*x + c) - a)/(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)))/(a^3*b^3*d^5*x^4 + 4*a^3*b^3*c*d^4*x^3 + 2*(3*a^3*b^3*c^2 + a^4*b^2)*d^3*x^2 + 4*(a^3*b^3*c^3 + a^4*b^2*c)*d^2*x + (a^3*b^3*c^4 + 2*a^4*b^2*c^2 + a^5*b)*d), 1/8*(3*a*b^2*d^3*x^3 + 9*a*b^2*c*d^2*x^2 + 3*a*b^2*c^3 + 5*a^2*b*c + (9*a*b^2*c^2 + 5*a^2*b)*d*x + 3*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + b^2*c^4 + 2*(3*b^2*c^2 + a*b)*d^2*x^2 + 2*a*b*c^2 + 4*(b^2*c^3 + a*b*c)*d*x + a^2)*sqrt(a*b)*arctan(sqrt(a*b)*(d*x + c)/a))/(a^3*b^3*d^5*x^4 + 4*a^3*b^3*c*d^4*x^3 + 2*(3*a^3*b^3*c^2 + a^4*b^2)*d^3*x^2 + 4*(a^3*b^3*c^3 + a^4*b^2*c)*d^2*x + (a^3*b^3*c^4 + 2*a^4*b^2*c^2 + a^5*b)*d)]","B",0
88,1,279,0,1.464381," ","integrate(1/(b*(d*x+c)^2+(-a)^(1/2)),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{\sqrt{-a}}{a b}} \log\left(\frac{b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4} - 2 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \sqrt{-a} + 2 \, {\left(a b d x + a b c + {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3}\right)} \sqrt{-a}\right)} \sqrt{\frac{\sqrt{-a}}{a b}} - a}{b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4} + a}\right)}{2 \, d}, \frac{\sqrt{-\frac{\sqrt{-a}}{a b}} \arctan\left({\left(b d x + b c\right)} \sqrt{-\frac{\sqrt{-a}}{a b}}\right)}{d}\right]"," ",0,"[1/2*sqrt(sqrt(-a)/(a*b))*log((b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4 - 2*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*sqrt(-a) + 2*(a*b*d*x + a*b*c + (b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3)*sqrt(-a))*sqrt(sqrt(-a)/(a*b)) - a)/(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4 + a))/d, sqrt(-sqrt(-a)/(a*b))*arctan((b*d*x + b*c)*sqrt(-sqrt(-a)/(a*b)))/d]","A",0
89,1,10,0,1.446826," ","integrate(1/(1+(d*x+c)^2),x, algorithm=""fricas"")","\frac{\arctan\left(d x + c\right)}{d}"," ",0,"arctan(d*x + c)/d","A",0
90,1,55,0,1.147871," ","integrate(1/(1+(d*x+c)^2)^2,x, algorithm=""fricas"")","\frac{d x + {\left(d^{2} x^{2} + 2 \, c d x + c^{2} + 1\right)} \arctan\left(d x + c\right) + c}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + {\left(c^{2} + 1\right)} d\right)}}"," ",0,"1/2*(d*x + (d^2*x^2 + 2*c*d*x + c^2 + 1)*arctan(d*x + c) + c)/(d^3*x^2 + 2*c*d^2*x + (c^2 + 1)*d)","A",0
91,1,153,0,0.899600," ","integrate(1/(1+(d*x+c)^2)^3,x, algorithm=""fricas"")","\frac{3 \, d^{3} x^{3} + 9 \, c d^{2} x^{2} + 3 \, c^{3} + {\left(9 \, c^{2} + 5\right)} d x + 3 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 2 \, {\left(3 \, c^{2} + 1\right)} d^{2} x^{2} + c^{4} + 4 \, {\left(c^{3} + c\right)} d x + 2 \, c^{2} + 1\right)} \arctan\left(d x + c\right) + 5 \, c}{8 \, {\left(d^{5} x^{4} + 4 \, c d^{4} x^{3} + 2 \, {\left(3 \, c^{2} + 1\right)} d^{3} x^{2} + 4 \, {\left(c^{3} + c\right)} d^{2} x + {\left(c^{4} + 2 \, c^{2} + 1\right)} d\right)}}"," ",0,"1/8*(3*d^3*x^3 + 9*c*d^2*x^2 + 3*c^3 + (9*c^2 + 5)*d*x + 3*(d^4*x^4 + 4*c*d^3*x^3 + 2*(3*c^2 + 1)*d^2*x^2 + c^4 + 4*(c^3 + c)*d*x + 2*c^2 + 1)*arctan(d*x + c) + 5*c)/(d^5*x^4 + 4*c*d^4*x^3 + 2*(3*c^2 + 1)*d^3*x^2 + 4*(c^3 + c)*d^2*x + (c^4 + 2*c^2 + 1)*d)","B",0
92,1,22,0,0.797867," ","integrate(1/(1-(d*x+c)^2),x, algorithm=""fricas"")","\frac{\log\left(d x + c + 1\right) - \log\left(d x + c - 1\right)}{2 \, d}"," ",0,"1/2*(log(d*x + c + 1) - log(d*x + c - 1))/d","B",0
93,1,85,0,0.928997," ","integrate(1/(1-(d*x+c)^2)^2,x, algorithm=""fricas"")","-\frac{2 \, d x - {\left(d^{2} x^{2} + 2 \, c d x + c^{2} - 1\right)} \log\left(d x + c + 1\right) + {\left(d^{2} x^{2} + 2 \, c d x + c^{2} - 1\right)} \log\left(d x + c - 1\right) + 2 \, c}{4 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + {\left(c^{2} - 1\right)} d\right)}}"," ",0,"-1/4*(2*d*x - (d^2*x^2 + 2*c*d*x + c^2 - 1)*log(d*x + c + 1) + (d^2*x^2 + 2*c*d*x + c^2 - 1)*log(d*x + c - 1) + 2*c)/(d^3*x^2 + 2*c*d^2*x + (c^2 - 1)*d)","B",0
94,1,220,0,1.212354," ","integrate(1/(1-(d*x+c)^2)^3,x, algorithm=""fricas"")","-\frac{6 \, d^{3} x^{3} + 18 \, c d^{2} x^{2} + 6 \, c^{3} + 2 \, {\left(9 \, c^{2} - 5\right)} d x - 3 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} x^{2} + c^{4} + 4 \, {\left(c^{3} - c\right)} d x - 2 \, c^{2} + 1\right)} \log\left(d x + c + 1\right) + 3 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} x^{2} + c^{4} + 4 \, {\left(c^{3} - c\right)} d x - 2 \, c^{2} + 1\right)} \log\left(d x + c - 1\right) - 10 \, c}{16 \, {\left(d^{5} x^{4} + 4 \, c d^{4} x^{3} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{3} x^{2} + 4 \, {\left(c^{3} - c\right)} d^{2} x + {\left(c^{4} - 2 \, c^{2} + 1\right)} d\right)}}"," ",0,"-1/16*(6*d^3*x^3 + 18*c*d^2*x^2 + 6*c^3 + 2*(9*c^2 - 5)*d*x - 3*(d^4*x^4 + 4*c*d^3*x^3 + 2*(3*c^2 - 1)*d^2*x^2 + c^4 + 4*(c^3 - c)*d*x - 2*c^2 + 1)*log(d*x + c + 1) + 3*(d^4*x^4 + 4*c*d^3*x^3 + 2*(3*c^2 - 1)*d^2*x^2 + c^4 + 4*(c^3 - c)*d*x - 2*c^2 + 1)*log(d*x + c - 1) - 10*c)/(d^5*x^4 + 4*c*d^4*x^3 + 2*(3*c^2 - 1)*d^3*x^2 + 4*(c^3 - c)*d^2*x + (c^4 - 2*c^2 + 1)*d)","B",0
95,1,11,0,1.281927," ","integrate(1/(1-(1+x)^2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x + 2\right) - \frac{1}{2} \, \log\left(x\right)"," ",0,"1/2*log(x + 2) - 1/2*log(x)","B",0
96,1,39,0,1.082275," ","integrate(1/(1-(1+x)^2)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 2 \, x\right)} \log\left(x + 2\right) - {\left(x^{2} + 2 \, x\right)} \log\left(x\right) - 2 \, x - 2}{4 \, {\left(x^{2} + 2 \, x\right)}}"," ",0,"1/4*((x^2 + 2*x)*log(x + 2) - (x^2 + 2*x)*log(x) - 2*x - 2)/(x^2 + 2*x)","A",0
97,1,71,0,0.822158," ","integrate(1/(1-(1+x)^2)^3,x, algorithm=""fricas"")","-\frac{6 \, x^{3} + 18 \, x^{2} - 3 \, {\left(x^{4} + 4 \, x^{3} + 4 \, x^{2}\right)} \log\left(x + 2\right) + 3 \, {\left(x^{4} + 4 \, x^{3} + 4 \, x^{2}\right)} \log\left(x\right) + 8 \, x - 4}{16 \, {\left(x^{4} + 4 \, x^{3} + 4 \, x^{2}\right)}}"," ",0,"-1/16*(6*x^3 + 18*x^2 - 3*(x^4 + 4*x^3 + 4*x^2)*log(x + 2) + 3*(x^4 + 4*x^3 + 4*x^2)*log(x) + 8*x - 4)/(x^4 + 4*x^3 + 4*x^2)","B",0
98,1,54,0,1.196419," ","integrate((1+(b*x+a)^2)^2/x,x, algorithm=""fricas"")","\frac{1}{4} \, b^{4} x^{4} + \frac{4}{3} \, a b^{3} x^{3} + {\left(3 \, a^{2} + 1\right)} b^{2} x^{2} + 4 \, {\left(a^{3} + a\right)} b x + {\left(a^{4} + 2 \, a^{2} + 1\right)} \log\left(x\right)"," ",0,"1/4*b^4*x^4 + 4/3*a*b^3*x^3 + (3*a^2 + 1)*b^2*x^2 + 4*(a^3 + a)*b*x + (a^4 + 2*a^2 + 1)*log(x)","A",0
99,1,11,0,1.221319," ","integrate(x^2/(1+(-1+x)^2),x, algorithm=""fricas"")","x + \log\left(x^{2} - 2 \, x + 2\right)"," ",0,"x + log(x^2 - 2*x + 2)","A",0
100,1,35,0,1.259456," ","integrate(x^2/(1-(1+x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-x^{2} - 2 \, x} {\left(x - 3\right)} - 3 \, \arctan\left(\frac{\sqrt{-x^{2} - 2 \, x}}{x}\right)"," ",0,"-1/2*sqrt(-x^2 - 2*x)*(x - 3) - 3*arctan(sqrt(-x^2 - 2*x)/x)","A",0
101,1,92,0,0.932626," ","integrate(x^2/(1-(b*x+a)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} + 1\right)} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x - 3 \, a\right)}}{2 \, b^{3}}"," ",0,"-1/2*((2*a^2 + 1)*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) + sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x - 3*a))/b^3","A",0
102,1,70,0,1.883408," ","integrate(x^2/(1+(b*x+a)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} - 1\right)} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x - 3 \, a\right)}}{2 \, b^{3}}"," ",0,"-1/2*((2*a^2 - 1)*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x - 3*a))/b^3","A",0
103,1,6315,0,47.200465," ","integrate(x^3/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} b d^{4} \log\left(-\frac{3}{4} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a^{2} b^{3} c^{2} d^{8} + b^{3} c^{10} - 9 \, a b^{2} c^{7} - 12 \, a^{2} b c^{4} + \frac{1}{2} \, {\left(a b^{3} c^{6} + 20 \, a^{2} b^{2} c^{3} + a^{3} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} d^{4} - 2 \, a^{3} c + {\left(b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} d x\right) - 12 \, d x - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} b d^{4} - 3 \, \sqrt{\frac{1}{3}} b d^{4} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a b^{2} d^{8} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} a b c d^{4} - 48 \, b c^{5} - 12 \, a c^{2}}{a b^{2} d^{8}}} - 18 \, c\right)} \log\left(\frac{3}{4} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a^{2} b^{3} c^{2} d^{8} + 2 \, b^{3} c^{10} - 63 \, a b^{2} c^{7} + 21 \, a^{2} b c^{4} - \frac{1}{2} \, {\left(a b^{3} c^{6} + 20 \, a^{2} b^{2} c^{3} + a^{3} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} d^{4} + 5 \, a^{3} c + 2 \, {\left(b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} d x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(3 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} a^{2} b^{3} c^{2} d^{8} + 2 \, {\left(a b^{3} c^{6} - 7 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a b^{2} d^{8} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} a b c d^{4} - 48 \, b c^{5} - 12 \, a c^{2}}{a b^{2} d^{8}}}\right) - {\left({\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} b d^{4} + 3 \, \sqrt{\frac{1}{3}} b d^{4} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a b^{2} d^{8} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} a b c d^{4} - 48 \, b c^{5} - 12 \, a c^{2}}{a b^{2} d^{8}}} - 18 \, c\right)} \log\left(\frac{3}{4} \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a^{2} b^{3} c^{2} d^{8} + 2 \, b^{3} c^{10} - 63 \, a b^{2} c^{7} + 21 \, a^{2} b c^{4} - \frac{1}{2} \, {\left(a b^{3} c^{6} + 20 \, a^{2} b^{2} c^{3} + a^{3} b\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} d^{4} + 5 \, a^{3} c + 2 \, {\left(b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} d x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(3 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} a^{2} b^{3} c^{2} d^{8} + 2 \, {\left(a b^{3} c^{6} - 7 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4}\right)} \sqrt{-\frac{{\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)}^{2} a b^{2} d^{8} - 12 \, {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{3 \, c^{2}}{b^{2} d^{8}} + \frac{b c^{5} - 2 \, a c^{2}}{a b^{2} d^{8}}\right)}}{{\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}}} + 3 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{c^{3}}{b^{3} d^{12}} - \frac{{\left(b c^{5} - 2 \, a c^{2}\right)} c}{2 \, a b^{3} d^{12}} - \frac{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}} + \frac{b^{3} c^{9} - 24 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}{54 \, a^{2} b^{4} d^{12}}\right)}^{\frac{1}{3}} + \frac{6 \, c}{b d^{4}}\right)} a b c d^{4} - 48 \, b c^{5} - 12 \, a c^{2}}{a b^{2} d^{8}}}\right)}{12 \, b d^{4}}"," ",0,"-1/12*(2*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*b*d^4*log(-3/4*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a^2*b^3*c^2*d^8 + b^3*c^10 - 9*a*b^2*c^7 - 12*a^2*b*c^4 + 1/2*(a*b^3*c^6 + 20*a^2*b^2*c^3 + a^3*b)*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*d^4 - 2*a^3*c + (b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*d*x) - 12*d*x - (((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*b*d^4 - 3*sqrt(1/3)*b*d^4*sqrt(-(((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a*b^2*d^8 - 12*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*a*b*c*d^4 - 48*b*c^5 - 12*a*c^2)/(a*b^2*d^8)) - 18*c)*log(3/4*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a^2*b^3*c^2*d^8 + 2*b^3*c^10 - 63*a*b^2*c^7 + 21*a^2*b*c^4 - 1/2*(a*b^3*c^6 + 20*a^2*b^2*c^3 + a^3*b)*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*d^4 + 5*a^3*c + 2*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*d*x + 3/4*sqrt(1/3)*(3*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*a^2*b^3*c^2*d^8 + 2*(a*b^3*c^6 - 7*a^2*b^2*c^3 + a^3*b)*d^4)*sqrt(-(((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a*b^2*d^8 - 12*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*a*b*c*d^4 - 48*b*c^5 - 12*a*c^2)/(a*b^2*d^8))) - (((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*b*d^4 + 3*sqrt(1/3)*b*d^4*sqrt(-(((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a*b^2*d^8 - 12*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*a*b*c*d^4 - 48*b*c^5 - 12*a*c^2)/(a*b^2*d^8)) - 18*c)*log(3/4*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a^2*b^3*c^2*d^8 + 2*b^3*c^10 - 63*a*b^2*c^7 + 21*a^2*b*c^4 - 1/2*(a*b^3*c^6 + 20*a^2*b^2*c^3 + a^3*b)*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*d^4 + 5*a^3*c + 2*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*d*x - 3/4*sqrt(1/3)*(3*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*a^2*b^3*c^2*d^8 + 2*(a*b^3*c^6 - 7*a^2*b^2*c^3 + a^3*b)*d^4)*sqrt(-(((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))^2*a*b^2*d^8 - 12*((-I*sqrt(3) + 1)*(3*c^2/(b^2*d^8) + (b*c^5 - 2*a*c^2)/(a*b^2*d^8))/(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 3*(I*sqrt(3) + 1)*(-c^3/(b^3*d^12) - 1/2*(b*c^5 - 2*a*c^2)*c/(a*b^3*d^12) - 1/54*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12) + 1/54*(b^3*c^9 - 24*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)/(a^2*b^4*d^12))^(1/3) + 6*c/(b*d^4))*a*b*c*d^4 - 48*b*c^5 - 12*a*c^2)/(a*b^2*d^8))))/(b*d^4)","C",0
104,1,4759,0,4.037067," ","integrate(x^2/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} b d^{3} \log\left(-\frac{1}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a^{2} b^{2} d^{6} + b^{2} c^{6} - a b c^{3} - \frac{1}{2} \, {\left(a b^{2} c^{3} + 4 \, a^{2} b\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} d^{3} + {\left(b^{2} c^{5} - 8 \, a b c^{2}\right)} d x - 2 \, a^{2}\right) - {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} b d^{3} - 3 \, \sqrt{\frac{1}{3}} b d^{3} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a b^{2} d^{6} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} a b d^{3} - 32 \, b c^{3} + 4 \, a}{a b^{2} d^{6}}} + 6\right)} \log\left(\frac{1}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a^{2} b^{2} d^{6} + 2 \, b^{2} c^{6} - 23 \, a b c^{3} + \frac{1}{2} \, {\left(a b^{2} c^{3} + 4 \, a^{2} b\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} d^{3} + 2 \, {\left(b^{2} c^{5} - 8 \, a b c^{2}\right)} d x + 2 \, a^{2} + \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} a^{2} b^{2} d^{6} - {\left(a b^{2} c^{3} - 2 \, a^{2} b\right)} d^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a b^{2} d^{6} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} a b d^{3} - 32 \, b c^{3} + 4 \, a}{a b^{2} d^{6}}}\right) - {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} b d^{3} + 3 \, \sqrt{\frac{1}{3}} b d^{3} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a b^{2} d^{6} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} a b d^{3} - 32 \, b c^{3} + 4 \, a}{a b^{2} d^{6}}} + 6\right)} \log\left(\frac{1}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a^{2} b^{2} d^{6} + 2 \, b^{2} c^{6} - 23 \, a b c^{3} + \frac{1}{2} \, {\left(a b^{2} c^{3} + 4 \, a^{2} b\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} d^{3} + 2 \, {\left(b^{2} c^{5} - 8 \, a b c^{2}\right)} d x + 2 \, a^{2} - \frac{3}{2} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} a^{2} b^{2} d^{6} - {\left(a b^{2} c^{3} - 2 \, a^{2} b\right)} d^{3}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)}^{2} a b^{2} d^{6} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{2 \, b c^{3} - a}{a b^{2} d^{6}} + \frac{1}{b^{2} d^{6}}\right)}}{{\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{{\left(b c^{3} - 8 \, a\right)} c^{3}}{a^{2} b^{2} d^{9}} + \frac{3 \, {\left(2 \, b c^{3} - a\right)}}{a b^{3} d^{9}} + \frac{2}{b^{3} d^{9}} + \frac{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}}{a^{2} b^{3} d^{9}}\right)}^{\frac{1}{3}} - \frac{2}{b d^{3}}\right)} a b d^{3} - 32 \, b c^{3} + 4 \, a}{a b^{2} d^{6}}}\right)}{12 \, b d^{3}}"," ",0,"-1/12*(2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*b*d^3*log(-1/2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a^2*b^2*d^6 + b^2*c^6 - a*b*c^3 - 1/2*(a*b^2*c^3 + 4*a^2*b)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*d^3 + (b^2*c^5 - 8*a*b*c^2)*d*x - 2*a^2) - ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*b*d^3 - 3*sqrt(1/3)*b*d^3*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a*b^2*d^6 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*a*b*d^3 - 32*b*c^3 + 4*a)/(a*b^2*d^6)) + 6)*log(1/2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a^2*b^2*d^6 + 2*b^2*c^6 - 23*a*b*c^3 + 1/2*(a*b^2*c^3 + 4*a^2*b)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*d^3 + 2*(b^2*c^5 - 8*a*b*c^2)*d*x + 2*a^2 + 3/2*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*a^2*b^2*d^6 - (a*b^2*c^3 - 2*a^2*b)*d^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a*b^2*d^6 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*a*b*d^3 - 32*b*c^3 + 4*a)/(a*b^2*d^6))) - ((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*b*d^3 + 3*sqrt(1/3)*b*d^3*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a*b^2*d^6 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*a*b*d^3 - 32*b*c^3 + 4*a)/(a*b^2*d^6)) + 6)*log(1/2*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a^2*b^2*d^6 + 2*b^2*c^6 - 23*a*b*c^3 + 1/2*(a*b^2*c^3 + 4*a^2*b)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*d^3 + 2*(b^2*c^5 - 8*a*b*c^2)*d*x + 2*a^2 - 3/2*sqrt(1/3)*((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*a^2*b^2*d^6 - (a*b^2*c^3 - 2*a^2*b)*d^3)*sqrt(-((2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))^2*a*b^2*d^6 + 4*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*((2*b*c^3 - a)/(a*b^2*d^6) + 1/(b^2*d^6))/((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) + (1/2)^(1/3)*(I*sqrt(3) + 1)*((b*c^3 - 8*a)*c^3/(a^2*b^2*d^9) + 3*(2*b*c^3 - a)/(a*b^3*d^9) + 2/(b^3*d^9) + (b^2*c^6 + 2*a*b*c^3 + a^2)/(a^2*b^3*d^9))^(1/3) - 2/(b*d^3))*a*b*d^3 - 32*b*c^3 + 4*a)/(a*b^2*d^6))))/(b*d^3)","C",0
105,1,1950,0,3.828356," ","integrate(x/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} - 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a b d^{4} - 144 \, c}{a b d^{4}}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d^{4} - \frac{1}{6} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} d^{2} + 2 \, b c^{4} + 2 \, {\left(b c^{3} - a\right)} d x - 4 \, a c + \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} a^{2} b d^{4} + 6 \, a b c^{2} d^{2}\right)} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a b d^{4} - 144 \, c}{a b d^{4}}}\right) + \frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + 3 \, \sqrt{\frac{1}{3}} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a b d^{4} - 144 \, c}{a b d^{4}}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} \log\left(\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d^{4} - \frac{1}{6} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} d^{2} + 2 \, b c^{4} + 2 \, {\left(b c^{3} - a\right)} d x - 4 \, a c - \frac{1}{12} \, \sqrt{\frac{1}{3}} {\left({\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} a^{2} b d^{4} + 6 \, a b c^{2} d^{2}\right)} \sqrt{-\frac{{\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a b d^{4} - 144 \, c}{a b d^{4}}}\right) - \frac{1}{18} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} \log\left(-\frac{1}{36} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)}^{2} a^{2} b d^{4} + \frac{1}{6} \, {\left(9 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}} + \frac{c {\left(-i \, \sqrt{3} + 1\right)}}{a b d^{4} {\left(-\frac{b c^{3} + a}{54 \, a^{2} b^{2} d^{6}} + \frac{b c^{3} - a}{54 \, a^{2} b^{2} d^{6}}\right)}^{\frac{1}{3}}}\right)} a b c^{2} d^{2} + b c^{4} + {\left(b c^{3} - a\right)} d x + a c\right)"," ",0,"1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) - 3*sqrt(1/3)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a*b*d^4 - 144*c)/(a*b*d^4)) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*log(1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a^2*b*d^4 - 1/6*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*a*b*c^2*d^2 + 2*b*c^4 + 2*(b*c^3 - a)*d*x - 4*a*c + 1/12*sqrt(1/3)*((9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*a^2*b*d^4 + 6*a*b*c^2*d^2)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a*b*d^4 - 144*c)/(a*b*d^4))) + 1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + 3*sqrt(1/3)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a*b*d^4 - 144*c)/(a*b*d^4)) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*log(1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a^2*b*d^4 - 1/6*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*a*b*c^2*d^2 + 2*b*c^4 + 2*(b*c^3 - a)*d*x - 4*a*c - 1/12*sqrt(1/3)*((9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*a^2*b*d^4 + 6*a*b*c^2*d^2)*sqrt(-((9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a*b*d^4 - 144*c)/(a*b*d^4))) - 1/18*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*log(-1/36*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))^2*a^2*b*d^4 + 1/6*(9*(I*sqrt(3) + 1)*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3) + c*(-I*sqrt(3) + 1)/(a*b*d^4*(-1/54*(b*c^3 + a)/(a^2*b^2*d^6) + 1/54*(b*c^3 - a)/(a^2*b^2*d^6))^(1/3)))*a*b*c^2*d^2 + b*c^4 + (b*c^3 - a)*d*x + a*c)","C",0
106,1,442,0,1.576206," ","integrate(1/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b d^{3} x^{3} + 6 \, a b c d^{2} x^{2} + 6 \, a b c^{2} d x + 2 \, a b c^{3} - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b d^{2} x^{2} + 4 \, a b c d x + 2 \, a b c^{2} + \left(a^{2} b\right)^{\frac{2}{3}} {\left(d x + c\right)} - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} {\left(a d x + a c\right)}}{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}\right) - \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b d^{2} x^{2} + 2 \, a b c d x + a b c^{2} - \left(a^{2} b\right)^{\frac{2}{3}} {\left(d x + c\right)} + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b d x + a b c + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, a^{2} b d}, \frac{6 \, \sqrt{\frac{1}{3}} a b \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} {\left(d x + c\right)} - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b d^{2} x^{2} + 2 \, a b c d x + a b c^{2} - \left(a^{2} b\right)^{\frac{2}{3}} {\left(d x + c\right)} + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b d x + a b c + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, a^{2} b d}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*d^3*x^3 + 6*a*b*c*d^2*x^2 + 6*a*b*c^2*d*x + 2*a*b*c^3 - a^2 + 3*sqrt(1/3)*(2*a*b*d^2*x^2 + 4*a*b*c*d*x + 2*a*b*c^2 + (a^2*b)^(2/3)*(d*x + c) - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*(a*d*x + a*c))/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)) - (a^2*b)^(2/3)*log(a*b*d^2*x^2 + 2*a*b*c*d*x + a*b*c^2 - (a^2*b)^(2/3)*(d*x + c) + (a^2*b)^(1/3)*a) + 2*(a^2*b)^(2/3)*log(a*b*d*x + a*b*c + (a^2*b)^(2/3)))/(a^2*b*d), 1/6*(6*sqrt(1/3)*a*b*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*(d*x + c) - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - (a^2*b)^(2/3)*log(a*b*d^2*x^2 + 2*a*b*c*d*x + a*b*c^2 - (a^2*b)^(2/3)*(d*x + c) + (a^2*b)^(1/3)*a) + 2*(a^2*b)^(2/3)*log(a*b*d*x + a*b*c + (a^2*b)^(2/3)))/(a^2*b*d)]","A",0
107,1,4370,0,3.965167," ","integrate(1/x/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","\frac{2 \, {\left(b c^{3} + a\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} \log\left(b c^{2} d x + b c^{3} + \frac{1}{4} \, {\left(a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} - \frac{1}{2} \, {\left(a b c^{3} - 2 \, a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + a\right) - {\left({\left(b c^{3} + a\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(b c^{3} + a\right)} \sqrt{-\frac{16 \, b c^{3} + {\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} + 4 \, {\left(a b c^{3} + a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 4 \, a}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}} + 6\right)} \log\left(2 \, b c^{2} d x + 2 \, b c^{3} - \frac{1}{4} \, {\left(a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} + \frac{1}{2} \, {\left(a b c^{3} - 2 \, a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a b c^{3} + {\left(a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 2 \, a^{2}\right)} \sqrt{-\frac{16 \, b c^{3} + {\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} + 4 \, {\left(a b c^{3} + a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 4 \, a}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}} - a\right) - {\left({\left(b c^{3} + a\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(b c^{3} + a\right)} \sqrt{-\frac{16 \, b c^{3} + {\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} + 4 \, {\left(a b c^{3} + a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 4 \, a}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}} + 6\right)} \log\left(2 \, b c^{2} d x + 2 \, b c^{3} - \frac{1}{4} \, {\left(a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} + \frac{1}{2} \, {\left(a b c^{3} - 2 \, a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, a b c^{3} + {\left(a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 2 \, a^{2}\right)} \sqrt{-\frac{16 \, b c^{3} + {\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)}^{2} + 4 \, {\left(a b c^{3} + a^{2}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)}^{2}}\right)}}{{\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} {\left(\frac{b c^{3}}{{\left(b c^{3} + a\right)}^{2} a^{2}} - \frac{1}{a^{2} b c^{3} + a^{3}} + \frac{3}{{\left(a b c^{3} + a^{2}\right)} {\left(b c^{3} + a\right)}} - \frac{2}{{\left(b c^{3} + a\right)}^{3}}\right)}^{\frac{1}{3}} - \frac{2}{b c^{3} + a}\right)} + 4 \, a}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}} - a\right) + 12 \, \log\left(x\right)}{12 \, {\left(b c^{3} + a\right)}}"," ",0,"1/12*(2*(b*c^3 + a)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))*log(b*c^2*d*x + b*c^3 + 1/4*(a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 - 1/2*(a*b*c^3 - 2*a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + a) - ((b*c^3 + a)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 3*sqrt(1/3)*(b*c^3 + a)*sqrt(-(16*b*c^3 + (a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 + 4*(a*b*c^3 + a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 4*a)/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3)) + 6)*log(2*b*c^2*d*x + 2*b*c^3 - 1/4*(a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 + 1/2*(a*b*c^3 - 2*a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 3/4*sqrt(1/3)*(2*a*b*c^3 + (a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 2*a^2)*sqrt(-(16*b*c^3 + (a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 + 4*(a*b*c^3 + a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 4*a)/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3)) - a) - ((b*c^3 + a)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) - 3*sqrt(1/3)*(b*c^3 + a)*sqrt(-(16*b*c^3 + (a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 + 4*(a*b*c^3 + a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 4*a)/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3)) + 6)*log(2*b*c^2*d*x + 2*b*c^3 - 1/4*(a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 + 1/2*(a*b*c^3 - 2*a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) - 3/4*sqrt(1/3)*(2*a*b*c^3 + (a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 2*a^2)*sqrt(-(16*b*c^3 + (a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a))^2 + 4*(a*b*c^3 + a^2)*(2*(1/2)^(2/3)*(-I*sqrt(3) + 1)*(1/(a*b*c^3 + a^2) - 1/(b*c^3 + a)^2)/(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - (1/2)^(1/3)*(I*sqrt(3) + 1)*(b*c^3/((b*c^3 + a)^2*a^2) - 1/(a^2*b*c^3 + a^3) + 3/((a*b*c^3 + a^2)*(b*c^3 + a)) - 2/(b*c^3 + a)^3)^(1/3) - 2/(b*c^3 + a)) + 4*a)/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3)) - a) + 12*log(x))/(b*c^3 + a)","C",0
108,1,8919,0,3.925425," ","integrate(1/x^2/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","-\frac{36 \, b c^{2} d x \log\left(x\right) + 12 \, b c^{3} - 2 \, {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} x \log\left({\left(b^{3} c^{6} - a^{2} b\right)} d^{3} x + \frac{1}{4} \, {\left(2 \, a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} - a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} + \frac{1}{2} \, {\left(a b^{3} c^{8} - 16 \, a^{2} b^{2} c^{5} + 10 \, a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + {\left(b^{3} c^{7} + 5 \, a b^{2} c^{4} - 5 \, a^{2} b c\right)} d^{2}\right) - {\left(18 \, b c^{2} d x - {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} x - 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} x \sqrt{-\frac{{\left(a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - 12 \, {\left(a b^{3} c^{8} + 2 \, a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + 4 \, {\left(8 \, b^{3} c^{7} - 11 \, a b^{2} c^{4} + 8 \, a^{2} b c\right)} d^{2}}{a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}}}\right)} \log\left(2 \, {\left(b^{3} c^{6} - a^{2} b\right)} d^{3} x - \frac{1}{4} \, {\left(2 \, a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} - a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \frac{1}{2} \, {\left(a b^{3} c^{8} - 16 \, a^{2} b^{2} c^{5} + 10 \, a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + {\left(2 \, b^{3} c^{7} - 5 \, a b^{2} c^{4} + 2 \, a^{2} b c\right)} d^{2} + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(2 \, a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} - a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 2 \, {\left(a b^{3} c^{8} + 2 \, a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d\right)} \sqrt{-\frac{{\left(a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - 12 \, {\left(a b^{3} c^{8} + 2 \, a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + 4 \, {\left(8 \, b^{3} c^{7} - 11 \, a b^{2} c^{4} + 8 \, a^{2} b c\right)} d^{2}}{a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}}}\right) - {\left(18 \, b c^{2} d x - {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} x + 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} x \sqrt{-\frac{{\left(a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - 12 \, {\left(a b^{3} c^{8} + 2 \, a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + 4 \, {\left(8 \, b^{3} c^{7} - 11 \, a b^{2} c^{4} + 8 \, a^{2} b c\right)} d^{2}}{a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}}}\right)} \log\left(2 \, {\left(b^{3} c^{6} - a^{2} b\right)} d^{3} x - \frac{1}{4} \, {\left(2 \, a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} - a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - \frac{1}{2} \, {\left(a b^{3} c^{8} - 16 \, a^{2} b^{2} c^{5} + 10 \, a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + {\left(2 \, b^{3} c^{7} - 5 \, a b^{2} c^{4} + 2 \, a^{2} b c\right)} d^{2} - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(2 \, a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} - a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} - 2 \, {\left(a b^{3} c^{8} + 2 \, a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d\right)} \sqrt{-\frac{{\left(a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)}^{2} - 12 \, {\left(a b^{3} c^{8} + 2 \, a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} {\left(\frac{6 \, b c^{2} d}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{9 \, b^{2} c^{4} d^{2}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{2}} - \frac{2 \, b c d^{2}}{a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{54 \, b^{3} c^{6} d^{3}}{{\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}^{3}} - \frac{18 \, b^{2} c^{3} d^{3}}{{\left(a b^{2} c^{6} + 2 \, a^{2} b c^{3} + a^{3}\right)} {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)}} + \frac{b d^{3}}{a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}} + \frac{{\left(b c^{3} - a\right)} b d^{3}}{{\left(b c^{3} + a\right)}^{3} a^{2}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)}\right)} d + 4 \, {\left(8 \, b^{3} c^{7} - 11 \, a b^{2} c^{4} + 8 \, a^{2} b c\right)} d^{2}}{a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}}}\right) + 12 \, a}{12 \, {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} x}"," ",0,"-1/12*(36*b*c^2*d*x*log(x) + 12*b*c^3 - 2*(b^2*c^6 + 2*a*b*c^3 + a^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*x*log((b^3*c^6 - a^2*b)*d^3*x + 1/4*(2*a^2*b^3*c^9 + 3*a^3*b^2*c^6 - a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 + 1/2*(a*b^3*c^8 - 16*a^2*b^2*c^5 + 10*a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + (b^3*c^7 + 5*a*b^2*c^4 - 5*a^2*b*c)*d^2) - (18*b*c^2*d*x - (b^2*c^6 + 2*a*b*c^3 + a^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*x - 3*sqrt(1/3)*(b^2*c^6 + 2*a*b*c^3 + a^2)*x*sqrt(-((a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 - 12*(a*b^3*c^8 + 2*a^2*b^2*c^5 + a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + 4*(8*b^3*c^7 - 11*a*b^2*c^4 + 8*a^2*b*c)*d^2)/(a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)))*log(2*(b^3*c^6 - a^2*b)*d^3*x - 1/4*(2*a^2*b^3*c^9 + 3*a^3*b^2*c^6 - a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 - 1/2*(a*b^3*c^8 - 16*a^2*b^2*c^5 + 10*a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + (2*b^3*c^7 - 5*a*b^2*c^4 + 2*a^2*b*c)*d^2 + 3/4*sqrt(1/3)*((2*a^2*b^3*c^9 + 3*a^3*b^2*c^6 - a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1)) - 2*(a*b^3*c^8 + 2*a^2*b^2*c^5 + a^3*b*c^2)*d)*sqrt(-((a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 - 12*(a*b^3*c^8 + 2*a^2*b^2*c^5 + a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + 4*(8*b^3*c^7 - 11*a*b^2*c^4 + 8*a^2*b*c)*d^2)/(a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5))) - (18*b*c^2*d*x - (b^2*c^6 + 2*a*b*c^3 + a^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*x + 3*sqrt(1/3)*(b^2*c^6 + 2*a*b*c^3 + a^2)*x*sqrt(-((a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 - 12*(a*b^3*c^8 + 2*a^2*b^2*c^5 + a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + 4*(8*b^3*c^7 - 11*a*b^2*c^4 + 8*a^2*b*c)*d^2)/(a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)))*log(2*(b^3*c^6 - a^2*b)*d^3*x - 1/4*(2*a^2*b^3*c^9 + 3*a^3*b^2*c^6 - a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 - 1/2*(a*b^3*c^8 - 16*a^2*b^2*c^5 + 10*a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + (2*b^3*c^7 - 5*a*b^2*c^4 + 2*a^2*b*c)*d^2 - 3/4*sqrt(1/3)*((2*a^2*b^3*c^9 + 3*a^3*b^2*c^6 - a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1)) - 2*(a*b^3*c^8 + 2*a^2*b^2*c^5 + a^3*b*c^2)*d)*sqrt(-((a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))^2 - 12*(a*b^3*c^8 + 2*a^2*b^2*c^5 + a^3*b*c^2)*(6*b*c^2*d/(b^2*c^6 + 2*a*b*c^3 + a^2) - 2*(1/2)^(2/3)*(9*b^2*c^4*d^2/(b^2*c^6 + 2*a*b*c^3 + a^2)^2 - 2*b*c*d^2/(a*b^2*c^6 + 2*a^2*b*c^3 + a^3))*(-I*sqrt(3) + 1)/(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3) - (1/2)^(1/3)*(54*b^3*c^6*d^3/(b^2*c^6 + 2*a*b*c^3 + a^2)^3 - 18*b^2*c^3*d^3/((a*b^2*c^6 + 2*a^2*b*c^3 + a^3)*(b^2*c^6 + 2*a*b*c^3 + a^2)) + b*d^3/(a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4) + (b*c^3 - a)*b*d^3/((b*c^3 + a)^3*a^2))^(1/3)*(I*sqrt(3) + 1))*d + 4*(8*b^3*c^7 - 11*a*b^2*c^4 + 8*a^2*b*c)*d^2)/(a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5))) + 12*a)/((b^2*c^6 + 2*a*b*c^3 + a^2)*x)","C",0
109,1,14765,0,12.243411," ","integrate(1/x^3/(a+b*(d*x+c)^3),x, algorithm=""fricas"")","-\frac{6 \, b^{2} c^{6} - 36 \, {\left(2 \, b^{2} c^{4} - a b c\right)} d^{2} x^{2} \log\left(x\right) + 12 \, a b c^{3} - 2 \, {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} x^{2} \log\left({\left(b^{4} c^{9} + 3 \, a b^{3} c^{6} - 24 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{5} x + {\left(b^{4} c^{10} + 15 \, a b^{3} c^{7} - 63 \, a^{2} b^{2} c^{4} + 4 \, a^{3} b c\right)} d^{4} - \frac{1}{2} \, {\left(a b^{4} c^{12} - 50 \, a^{2} b^{3} c^{9} + 141 \, a^{3} b^{2} c^{6} - 50 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} + \frac{3}{4} \, {\left(a^{2} b^{4} c^{14} + a^{3} b^{3} c^{11} - 3 \, a^{4} b^{2} c^{8} - 5 \, a^{5} b c^{5} - 2 \, a^{6} c^{2}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2}\right) - 36 \, {\left(b^{2} c^{5} + a b c^{2}\right)} d x + 6 \, a^{2} + {\left(18 \, {\left(2 \, b^{2} c^{4} - a b c\right)} d^{2} x^{2} + {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} x^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} x^{2} \sqrt{-\frac{12 \, {\left(4 \, b^{5} c^{11} - 24 \, a b^{4} c^{8} + 48 \, a^{2} b^{3} c^{5} - 5 \, a^{3} b^{2} c^{2}\right)} d^{4} + 12 \, {\left(2 \, a b^{5} c^{13} + 5 \, a^{2} b^{4} c^{10} + 3 \, a^{3} b^{3} c^{7} - a^{4} b^{2} c^{4} - a^{5} b c\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} + {\left(a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2}}{a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}}}\right)} \log\left(2 \, {\left(b^{4} c^{9} + 3 \, a b^{3} c^{6} - 24 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{5} x + {\left(2 \, b^{4} c^{10} - 6 \, a b^{3} c^{7} - 9 \, a^{2} b^{2} c^{4} - a^{3} b c\right)} d^{4} + \frac{1}{2} \, {\left(a b^{4} c^{12} - 50 \, a^{2} b^{3} c^{9} + 141 \, a^{3} b^{2} c^{6} - 50 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} - \frac{3}{4} \, {\left(a^{2} b^{4} c^{14} + a^{3} b^{3} c^{11} - 3 \, a^{4} b^{2} c^{8} - 5 \, a^{5} b c^{5} - 2 \, a^{6} c^{2}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2} + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}\right)} d^{2} + 3 \, {\left(a^{2} b^{4} c^{14} + a^{3} b^{3} c^{11} - 3 \, a^{4} b^{2} c^{8} - 5 \, a^{5} b c^{5} - 2 \, a^{6} c^{2}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}\right)} \sqrt{-\frac{12 \, {\left(4 \, b^{5} c^{11} - 24 \, a b^{4} c^{8} + 48 \, a^{2} b^{3} c^{5} - 5 \, a^{3} b^{2} c^{2}\right)} d^{4} + 12 \, {\left(2 \, a b^{5} c^{13} + 5 \, a^{2} b^{4} c^{10} + 3 \, a^{3} b^{3} c^{7} - a^{4} b^{2} c^{4} - a^{5} b c\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} + {\left(a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2}}{a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}}}\right) + {\left(18 \, {\left(2 \, b^{2} c^{4} - a b c\right)} d^{2} x^{2} + {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} x^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} x^{2} \sqrt{-\frac{12 \, {\left(4 \, b^{5} c^{11} - 24 \, a b^{4} c^{8} + 48 \, a^{2} b^{3} c^{5} - 5 \, a^{3} b^{2} c^{2}\right)} d^{4} + 12 \, {\left(2 \, a b^{5} c^{13} + 5 \, a^{2} b^{4} c^{10} + 3 \, a^{3} b^{3} c^{7} - a^{4} b^{2} c^{4} - a^{5} b c\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} + {\left(a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2}}{a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}}}\right)} \log\left(2 \, {\left(b^{4} c^{9} + 3 \, a b^{3} c^{6} - 24 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{5} x + {\left(2 \, b^{4} c^{10} - 6 \, a b^{3} c^{7} - 9 \, a^{2} b^{2} c^{4} - a^{3} b c\right)} d^{4} + \frac{1}{2} \, {\left(a b^{4} c^{12} - 50 \, a^{2} b^{3} c^{9} + 141 \, a^{3} b^{2} c^{6} - 50 \, a^{4} b c^{3} + a^{5}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} - \frac{3}{4} \, {\left(a^{2} b^{4} c^{14} + a^{3} b^{3} c^{11} - 3 \, a^{4} b^{2} c^{8} - 5 \, a^{5} b c^{5} - 2 \, a^{6} c^{2}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2} - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(a b^{4} c^{12} + 4 \, a^{2} b^{3} c^{9} + 6 \, a^{3} b^{2} c^{6} + 4 \, a^{4} b c^{3} + a^{5}\right)} d^{2} + 3 \, {\left(a^{2} b^{4} c^{14} + a^{3} b^{3} c^{11} - 3 \, a^{4} b^{2} c^{8} - 5 \, a^{5} b c^{5} - 2 \, a^{6} c^{2}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}\right)} \sqrt{-\frac{12 \, {\left(4 \, b^{5} c^{11} - 24 \, a b^{4} c^{8} + 48 \, a^{2} b^{3} c^{5} - 5 \, a^{3} b^{2} c^{2}\right)} d^{4} + 12 \, {\left(2 \, a b^{5} c^{13} + 5 \, a^{2} b^{4} c^{10} + 3 \, a^{3} b^{3} c^{7} - a^{4} b^{2} c^{4} - a^{5} b c\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)} d^{2} + {\left(a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}\right)} {\left(\frac{6 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{b^{2} c^{2} d^{4}}{a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}} - \frac{3 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{2}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{2}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}}} - \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{27 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)} b^{2} c^{2} d^{4}}{{\left(a b^{3} c^{9} + 3 \, a^{2} b^{2} c^{6} + 3 \, a^{3} b c^{3} + a^{4}\right)} {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}} - \frac{b^{2} d^{6}}{a^{2} b^{3} c^{9} + 3 \, a^{3} b^{2} c^{6} + 3 \, a^{4} b c^{3} + a^{5}} + \frac{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} - 24 \, a^{2} b c^{3} + a^{3}\right)} b^{2} d^{6}}{{\left(b c^{3} + a\right)}^{6} a^{2}} - \frac{54 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}^{3}}{{\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)}^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{6 \, {\left(2 \, b^{2} c^{4} d^{2} - a b c d^{2}\right)}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}}\right)}^{2}}{a b^{6} c^{18} + 6 \, a^{2} b^{5} c^{15} + 15 \, a^{3} b^{4} c^{12} + 20 \, a^{4} b^{3} c^{9} + 15 \, a^{5} b^{2} c^{6} + 6 \, a^{6} b c^{3} + a^{7}}}\right)}{12 \, {\left(b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}\right)} x^{2}}"," ",0,"-1/12*(6*b^2*c^6 - 36*(2*b^2*c^4 - a*b*c)*d^2*x^2*log(x) + 12*a*b*c^3 - 2*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*x^2*log((b^4*c^9 + 3*a*b^3*c^6 - 24*a^2*b^2*c^3 + a^3*b)*d^5*x + (b^4*c^10 + 15*a*b^3*c^7 - 63*a^2*b^2*c^4 + 4*a^3*b*c)*d^4 - 1/2*(a*b^4*c^12 - 50*a^2*b^3*c^9 + 141*a^3*b^2*c^6 - 50*a^4*b*c^3 + a^5)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 + 3/4*(a^2*b^4*c^14 + a^3*b^3*c^11 - 3*a^4*b^2*c^8 - 5*a^5*b*c^5 - 2*a^6*c^2)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2) - 36*(b^2*c^5 + a*b*c^2)*d*x + 6*a^2 + (18*(2*b^2*c^4 - a*b*c)*d^2*x^2 + (b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*x^2 + 3*sqrt(1/3)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*x^2*sqrt(-(12*(4*b^5*c^11 - 24*a*b^4*c^8 + 48*a^2*b^3*c^5 - 5*a^3*b^2*c^2)*d^4 + 12*(2*a*b^5*c^13 + 5*a^2*b^4*c^10 + 3*a^3*b^3*c^7 - a^4*b^2*c^4 - a^5*b*c)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 + (a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2)/(a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7)))*log(2*(b^4*c^9 + 3*a*b^3*c^6 - 24*a^2*b^2*c^3 + a^3*b)*d^5*x + (2*b^4*c^10 - 6*a*b^3*c^7 - 9*a^2*b^2*c^4 - a^3*b*c)*d^4 + 1/2*(a*b^4*c^12 - 50*a^2*b^3*c^9 + 141*a^3*b^2*c^6 - 50*a^4*b*c^3 + a^5)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 - 3/4*(a^2*b^4*c^14 + a^3*b^3*c^11 - 3*a^4*b^2*c^8 - 5*a^5*b*c^5 - 2*a^6*c^2)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2 + 3/4*sqrt(1/3)*(2*(a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)*d^2 + 3*(a^2*b^4*c^14 + a^3*b^3*c^11 - 3*a^4*b^2*c^8 - 5*a^5*b*c^5 - 2*a^6*c^2)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)))*sqrt(-(12*(4*b^5*c^11 - 24*a*b^4*c^8 + 48*a^2*b^3*c^5 - 5*a^3*b^2*c^2)*d^4 + 12*(2*a*b^5*c^13 + 5*a^2*b^4*c^10 + 3*a^3*b^3*c^7 - a^4*b^2*c^4 - a^5*b*c)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 + (a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2)/(a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7))) + (18*(2*b^2*c^4 - a*b*c)*d^2*x^2 + (b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*x^2 - 3*sqrt(1/3)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*x^2*sqrt(-(12*(4*b^5*c^11 - 24*a*b^4*c^8 + 48*a^2*b^3*c^5 - 5*a^3*b^2*c^2)*d^4 + 12*(2*a*b^5*c^13 + 5*a^2*b^4*c^10 + 3*a^3*b^3*c^7 - a^4*b^2*c^4 - a^5*b*c)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 + (a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2)/(a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7)))*log(2*(b^4*c^9 + 3*a*b^3*c^6 - 24*a^2*b^2*c^3 + a^3*b)*d^5*x + (2*b^4*c^10 - 6*a*b^3*c^7 - 9*a^2*b^2*c^4 - a^3*b*c)*d^4 + 1/2*(a*b^4*c^12 - 50*a^2*b^3*c^9 + 141*a^3*b^2*c^6 - 50*a^4*b*c^3 + a^5)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 - 3/4*(a^2*b^4*c^14 + a^3*b^3*c^11 - 3*a^4*b^2*c^8 - 5*a^5*b*c^5 - 2*a^6*c^2)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2 - 3/4*sqrt(1/3)*(2*(a*b^4*c^12 + 4*a^2*b^3*c^9 + 6*a^3*b^2*c^6 + 4*a^4*b*c^3 + a^5)*d^2 + 3*(a^2*b^4*c^14 + a^3*b^3*c^11 - 3*a^4*b^2*c^8 - 5*a^5*b*c^5 - 2*a^6*c^2)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)))*sqrt(-(12*(4*b^5*c^11 - 24*a*b^4*c^8 + 48*a^2*b^3*c^5 - 5*a^3*b^2*c^2)*d^4 + 12*(2*a*b^5*c^13 + 5*a^2*b^4*c^10 + 3*a^3*b^3*c^7 - a^4*b^2*c^4 - a^5*b*c)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))*d^2 + (a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7)*(6*(1/2)^(2/3)*(b^2*c^2*d^4/(a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4) - 3*(2*b^2*c^4*d^2 - a*b*c*d^2)^2/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^2)*(-I*sqrt(3) + 1)/(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3) - (1/2)^(1/3)*(27*(2*b^2*c^4*d^2 - a*b*c*d^2)*b^2*c^2*d^4/((a*b^3*c^9 + 3*a^2*b^2*c^6 + 3*a^3*b*c^3 + a^4)*(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)) - b^2*d^6/(a^2*b^3*c^9 + 3*a^3*b^2*c^6 + 3*a^4*b*c^3 + a^5) + (b^3*c^9 + 3*a*b^2*c^6 - 24*a^2*b*c^3 + a^3)*b^2*d^6/((b*c^3 + a)^6*a^2) - 54*(2*b^2*c^4*d^2 - a*b*c*d^2)^3/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)^3)^(1/3)*(I*sqrt(3) + 1) - 6*(2*b^2*c^4*d^2 - a*b*c*d^2)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3))^2)/(a*b^6*c^18 + 6*a^2*b^5*c^15 + 15*a^3*b^4*c^12 + 20*a^4*b^3*c^9 + 15*a^5*b^2*c^6 + 6*a^6*b*c^3 + a^7))))/((b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3)*x^2)","C",0
110,-1,0,0,0.000000," ","integrate(x^3/(a+b*(d*x+c)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate(x^2/(a+b*(d*x+c)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate(x/(a+b*(d*x+c)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,1,189,0,1.000167," ","integrate(1/(a+b*(d*x+c)^4),x, algorithm=""fricas"")","\left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{1}{4}} \arctan\left(a^{2} b d^{4} \sqrt{\frac{a^{2} d^{2} \sqrt{-\frac{1}{a^{3} b d^{4}}} + d^{2} x^{2} + 2 \, c d x + c^{2}}{d^{2}}} \left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{3}{4}} - {\left(a^{2} b d^{4} x + a^{2} b c d^{3}\right)} \left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{3}{4}}\right) + \frac{1}{4} \, \left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{1}{4}} \log\left(a d \left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{1}{4}} + d x + c\right) - \frac{1}{4} \, \left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{1}{4}} \log\left(-a d \left(-\frac{1}{a^{3} b d^{4}}\right)^{\frac{1}{4}} + d x + c\right)"," ",0,"(-1/(a^3*b*d^4))^(1/4)*arctan(a^2*b*d^4*sqrt((a^2*d^2*sqrt(-1/(a^3*b*d^4)) + d^2*x^2 + 2*c*d*x + c^2)/d^2)*(-1/(a^3*b*d^4))^(3/4) - (a^2*b*d^4*x + a^2*b*c*d^3)*(-1/(a^3*b*d^4))^(3/4)) + 1/4*(-1/(a^3*b*d^4))^(1/4)*log(a*d*(-1/(a^3*b*d^4))^(1/4) + d*x + c) - 1/4*(-1/(a^3*b*d^4))^(1/4)*log(-a*d*(-1/(a^3*b*d^4))^(1/4) + d*x + c)","A",0
114,-1,0,0,0.000000," ","integrate(1/x/(a+b*(d*x+c)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
115,-1,0,0,0.000000," ","integrate(1/x^2/(a+b*(d*x+c)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,1,219,0,1.033111," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^4,x, algorithm=""fricas"")","\frac{1}{17} x^{17} - x^{16} + \frac{128}{15} x^{15} - 48 x^{14} - \frac{4}{13} x^{13} a + \frac{2560}{13} x^{13} + 4 x^{12} a - \frac{1856}{3} x^{12} - \frac{288}{11} x^{11} a + \frac{16768}{11} x^{11} + 112 x^{10} a + \frac{2}{3} x^{9} a^{2} - \frac{14848}{5} x^{10} - \frac{1024}{3} x^{9} a - 6 x^{8} a^{2} + \frac{40960}{9} x^{9} + 768 x^{8} a + \frac{192}{7} x^{7} a^{2} - 5376 x^{8} - 1280 x^{7} a - 80 x^{6} a^{2} - \frac{4}{5} x^{5} a^{3} + \frac{32768}{7} x^{7} + 1536 x^{6} a + \frac{768}{5} x^{5} a^{2} + 4 x^{4} a^{3} - \frac{8192}{3} x^{6} - \frac{6144}{5} x^{5} a - 192 x^{4} a^{2} - \frac{32}{3} x^{3} a^{3} + \frac{4096}{5} x^{5} + 512 x^{4} a + 128 x^{3} a^{2} + 16 x^{2} a^{3} + x a^{4}"," ",0,"1/17*x^17 - x^16 + 128/15*x^15 - 48*x^14 - 4/13*x^13*a + 2560/13*x^13 + 4*x^12*a - 1856/3*x^12 - 288/11*x^11*a + 16768/11*x^11 + 112*x^10*a + 2/3*x^9*a^2 - 14848/5*x^10 - 1024/3*x^9*a - 6*x^8*a^2 + 40960/9*x^9 + 768*x^8*a + 192/7*x^7*a^2 - 5376*x^8 - 1280*x^7*a - 80*x^6*a^2 - 4/5*x^5*a^3 + 32768/7*x^7 + 1536*x^6*a + 768/5*x^5*a^2 + 4*x^4*a^3 - 8192/3*x^6 - 6144/5*x^5*a - 192*x^4*a^2 - 32/3*x^3*a^3 + 4096/5*x^5 + 512*x^4*a + 128*x^3*a^2 + 16*x^2*a^3 + x*a^4","B",0
117,1,128,0,1.075316," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""fricas"")","-\frac{1}{13} x^{13} + x^{12} - \frac{72}{11} x^{11} + 28 x^{10} + \frac{1}{3} x^{9} a - \frac{256}{3} x^{9} - 3 x^{8} a + 192 x^{8} + \frac{96}{7} x^{7} a - 320 x^{7} - 40 x^{6} a - \frac{3}{5} x^{5} a^{2} + 384 x^{6} + \frac{384}{5} x^{5} a + 3 x^{4} a^{2} - \frac{1536}{5} x^{5} - 96 x^{4} a - 8 x^{3} a^{2} + 128 x^{4} + 64 x^{3} a + 12 x^{2} a^{2} + x a^{3}"," ",0,"-1/13*x^13 + x^12 - 72/11*x^11 + 28*x^10 + 1/3*x^9*a - 256/3*x^9 - 3*x^8*a + 192*x^8 + 96/7*x^7*a - 320*x^7 - 40*x^6*a - 3/5*x^5*a^2 + 384*x^6 + 384/5*x^5*a + 3*x^4*a^2 - 1536/5*x^5 - 96*x^4*a - 8*x^3*a^2 + 128*x^4 + 64*x^3*a + 12*x^2*a^2 + x*a^3","A",0
118,1,65,0,1.096686," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} - x^{8} + \frac{32}{7} x^{7} - \frac{40}{3} x^{6} - \frac{2}{5} x^{5} a + \frac{128}{5} x^{5} + 2 x^{4} a - 32 x^{4} - \frac{16}{3} x^{3} a + \frac{64}{3} x^{3} + 8 x^{2} a + x a^{2}"," ",0,"1/9*x^9 - x^8 + 32/7*x^7 - 40/3*x^6 - 2/5*x^5*a + 128/5*x^5 + 2*x^4*a - 32*x^4 - 16/3*x^3*a + 64/3*x^3 + 8*x^2*a + x*a^2","A",0
119,1,22,0,0.675366," ","integrate(-x^4+4*x^3-8*x^2+a+8*x,x, algorithm=""fricas"")","-\frac{1}{5} x^{5} + x^{4} - \frac{8}{3} x^{3} + 4 x^{2} + x a"," ",0,"-1/5*x^5 + x^4 - 8/3*x^3 + 4*x^2 + x*a","A",0
120,1,457,0,0.883006," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 1}{a^{2} + 7 \, a + 12}} \log\left({\left(a - \frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 4\right)} \sqrt{\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 1}{a^{2} + 7 \, a + 12}} + x - 1\right) - \frac{1}{4} \, \sqrt{\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 1}{a^{2} + 7 \, a + 12}} \log\left(-{\left(a - \frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 4\right)} \sqrt{\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 1}{a^{2} + 7 \, a + 12}} + x - 1\right) + \frac{1}{4} \, \sqrt{-\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} - 1}{a^{2} + 7 \, a + 12}} \log\left({\left(a + \frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 4\right)} \sqrt{-\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} - 1}{a^{2} + 7 \, a + 12}} + x - 1\right) - \frac{1}{4} \, \sqrt{-\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} - 1}{a^{2} + 7 \, a + 12}} \log\left(-{\left(a + \frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} + 4\right)} \sqrt{-\frac{\frac{a^{2} + 7 \, a + 12}{\sqrt{a^{3} + 10 \, a^{2} + 33 \, a + 36}} - 1}{a^{2} + 7 \, a + 12}} + x - 1\right)"," ",0,"1/4*sqrt(((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 1)/(a^2 + 7*a + 12))*log((a - (a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 4)*sqrt(((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 1)/(a^2 + 7*a + 12)) + x - 1) - 1/4*sqrt(((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 1)/(a^2 + 7*a + 12))*log(-(a - (a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 4)*sqrt(((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 1)/(a^2 + 7*a + 12)) + x - 1) + 1/4*sqrt(-((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) - 1)/(a^2 + 7*a + 12))*log((a + (a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 4)*sqrt(-((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) - 1)/(a^2 + 7*a + 12)) + x - 1) - 1/4*sqrt(-((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) - 1)/(a^2 + 7*a + 12))*log(-(a + (a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) + 4)*sqrt(-((a^2 + 7*a + 12)/sqrt(a^3 + 10*a^2 + 33*a + 36) - 1)/(a^2 + 7*a + 12)) + x - 1)","B",0
121,1,1948,0,0.863006," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""fricas"")","-\frac{4 \, x^{3} - {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)} \sqrt{\frac{15 \, a^{2} + {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} \log\left(-81 \, a^{2} + {\left(81 \, a^{2} + 567 \, a + 992\right)} x + {\left(27 \, a^{4} + 408 \, a^{3} + 2309 \, a^{2} - 2 \, {\left(2 \, a^{7} + 49 \, a^{6} + 513 \, a^{5} + 2975 \, a^{4} + 10321 \, a^{3} + 21420 \, a^{2} + 24624 \, a + 12096\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 5800 \, a + 5456\right)} \sqrt{\frac{15 \, a^{2} + {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} - 567 \, a - 992\right) + {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)} \sqrt{\frac{15 \, a^{2} + {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} \log\left(-81 \, a^{2} + {\left(81 \, a^{2} + 567 \, a + 992\right)} x - {\left(27 \, a^{4} + 408 \, a^{3} + 2309 \, a^{2} - 2 \, {\left(2 \, a^{7} + 49 \, a^{6} + 513 \, a^{5} + 2975 \, a^{4} + 10321 \, a^{3} + 21420 \, a^{2} + 24624 \, a + 12096\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 5800 \, a + 5456\right)} \sqrt{\frac{15 \, a^{2} + {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} - 567 \, a - 992\right) - {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)} \sqrt{\frac{15 \, a^{2} - {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} \log\left(-81 \, a^{2} + {\left(81 \, a^{2} + 567 \, a + 992\right)} x + {\left(27 \, a^{4} + 408 \, a^{3} + 2309 \, a^{2} + 2 \, {\left(2 \, a^{7} + 49 \, a^{6} + 513 \, a^{5} + 2975 \, a^{4} + 10321 \, a^{3} + 21420 \, a^{2} + 24624 \, a + 12096\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 5800 \, a + 5456\right)} \sqrt{\frac{15 \, a^{2} - {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} - 567 \, a - 992\right) + {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)} \sqrt{\frac{15 \, a^{2} - {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} \log\left(-81 \, a^{2} + {\left(81 \, a^{2} + 567 \, a + 992\right)} x - {\left(27 \, a^{4} + 408 \, a^{3} + 2309 \, a^{2} + 2 \, {\left(2 \, a^{7} + 49 \, a^{6} + 513 \, a^{5} + 2975 \, a^{4} + 10321 \, a^{3} + 21420 \, a^{2} + 24624 \, a + 12096\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 5800 \, a + 5456\right)} \sqrt{\frac{15 \, a^{2} - {\left(a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728\right)} \sqrt{\frac{81 \, a^{2} + 558 \, a + 961}{a^{9} + 30 \, a^{8} + 399 \, a^{7} + 3088 \, a^{6} + 15327 \, a^{5} + 50598 \, a^{4} + 111105 \, a^{3} + 156492 \, a^{2} + 128304 \, a + 46656}} + 105 \, a + 184}{a^{6} + 21 \, a^{5} + 183 \, a^{4} + 847 \, a^{3} + 2196 \, a^{2} + 3024 \, a + 1728}} - 567 \, a - 992\right) + 4 \, {\left(a + 8\right)} x - 12 \, x^{2} - 4 \, a - 24}{16 \, {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)}}"," ",0,"-1/16*(4*x^3 - ((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a)*sqrt((15*a^2 + (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728))*log(-81*a^2 + (81*a^2 + 567*a + 992)*x + (27*a^4 + 408*a^3 + 2309*a^2 - 2*(2*a^7 + 49*a^6 + 513*a^5 + 2975*a^4 + 10321*a^3 + 21420*a^2 + 24624*a + 12096)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 5800*a + 5456)*sqrt((15*a^2 + (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)) - 567*a - 992) + ((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a)*sqrt((15*a^2 + (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728))*log(-81*a^2 + (81*a^2 + 567*a + 992)*x - (27*a^4 + 408*a^3 + 2309*a^2 - 2*(2*a^7 + 49*a^6 + 513*a^5 + 2975*a^4 + 10321*a^3 + 21420*a^2 + 24624*a + 12096)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 5800*a + 5456)*sqrt((15*a^2 + (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)) - 567*a - 992) - ((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a)*sqrt((15*a^2 - (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728))*log(-81*a^2 + (81*a^2 + 567*a + 992)*x + (27*a^4 + 408*a^3 + 2309*a^2 + 2*(2*a^7 + 49*a^6 + 513*a^5 + 2975*a^4 + 10321*a^3 + 21420*a^2 + 24624*a + 12096)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 5800*a + 5456)*sqrt((15*a^2 - (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)) - 567*a - 992) + ((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a)*sqrt((15*a^2 - (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728))*log(-81*a^2 + (81*a^2 + 567*a + 992)*x - (27*a^4 + 408*a^3 + 2309*a^2 + 2*(2*a^7 + 49*a^6 + 513*a^5 + 2975*a^4 + 10321*a^3 + 21420*a^2 + 24624*a + 12096)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 5800*a + 5456)*sqrt((15*a^2 - (a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)*sqrt((81*a^2 + 558*a + 961)/(a^9 + 30*a^8 + 399*a^7 + 3088*a^6 + 15327*a^5 + 50598*a^4 + 111105*a^3 + 156492*a^2 + 128304*a + 46656)) + 105*a + 184)/(a^6 + 21*a^5 + 183*a^4 + 847*a^3 + 2196*a^2 + 3024*a + 1728)) - 567*a - 992) + 4*(a + 8)*x - 12*x^2 - 4*a - 24)/((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a)","B",0
122,1,3971,0,1.666595," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""fricas"")","-\frac{24 \, {\left(2 \, a + 7\right)} x^{7} - 168 \, {\left(2 \, a + 7\right)} x^{6} + 4 \, {\left(7 \, a^{2} + 343 \, a + 1116\right)} x^{5} - 20 \, {\left(7 \, a^{2} + 175 \, a + 528\right)} x^{4} + 8 \, {\left(34 \, a^{2} + 679 \, a + 1968\right)} x^{3} + 44 \, a^{3} - 8 \, {\left(32 \, a^{2} + 623 \, a + 1800\right)} x^{2} - 3 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} + {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} \log\left(-64827 \, a^{4} - 907578 \, a^{3} - 4780647 \, a^{2} + 27 \, {\left(2401 \, a^{4} + 33614 \, a^{3} + 177061 \, a^{2} + 415884 \, a + 367536\right)} x + 27 \, {\left(343 \, a^{7} + 8981 \, a^{6} + 100811 \, a^{5} + 628887 \, a^{4} + 2354874 \, a^{3} + 5293208 \, a^{2} - {\left(11 \, a^{12} + 462 \, a^{11} + 8881 \, a^{10} + 103320 \, a^{9} + 810205 \, a^{8} + 4511542 \, a^{7} + 18292039 \, a^{6} + 54410692 \, a^{5} + 117844800 \, a^{4} + 181238400 \, a^{3} + 187875072 \, a^{2} + 117863424 \, a + 33841152\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 6613472 \, a + 3543424\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} + {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} - 11228868 \, a - 9923472\right) + 3 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} + {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} \log\left(-64827 \, a^{4} - 907578 \, a^{3} - 4780647 \, a^{2} + 27 \, {\left(2401 \, a^{4} + 33614 \, a^{3} + 177061 \, a^{2} + 415884 \, a + 367536\right)} x - 27 \, {\left(343 \, a^{7} + 8981 \, a^{6} + 100811 \, a^{5} + 628887 \, a^{4} + 2354874 \, a^{3} + 5293208 \, a^{2} - {\left(11 \, a^{12} + 462 \, a^{11} + 8881 \, a^{10} + 103320 \, a^{9} + 810205 \, a^{8} + 4511542 \, a^{7} + 18292039 \, a^{6} + 54410692 \, a^{5} + 117844800 \, a^{4} + 181238400 \, a^{3} + 187875072 \, a^{2} + 117863424 \, a + 33841152\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 6613472 \, a + 3543424\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} + {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} - 11228868 \, a - 9923472\right) - 3 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} - {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} \log\left(-64827 \, a^{4} - 907578 \, a^{3} - 4780647 \, a^{2} + 27 \, {\left(2401 \, a^{4} + 33614 \, a^{3} + 177061 \, a^{2} + 415884 \, a + 367536\right)} x + 27 \, {\left(343 \, a^{7} + 8981 \, a^{6} + 100811 \, a^{5} + 628887 \, a^{4} + 2354874 \, a^{3} + 5293208 \, a^{2} + {\left(11 \, a^{12} + 462 \, a^{11} + 8881 \, a^{10} + 103320 \, a^{9} + 810205 \, a^{8} + 4511542 \, a^{7} + 18292039 \, a^{6} + 54410692 \, a^{5} + 117844800 \, a^{4} + 181238400 \, a^{3} + 187875072 \, a^{2} + 117863424 \, a + 33841152\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 6613472 \, a + 3543424\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} - {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} - 11228868 \, a - 9923472\right) + 3 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} - {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} \log\left(-64827 \, a^{4} - 907578 \, a^{3} - 4780647 \, a^{2} + 27 \, {\left(2401 \, a^{4} + 33614 \, a^{3} + 177061 \, a^{2} + 415884 \, a + 367536\right)} x - 27 \, {\left(343 \, a^{7} + 8981 \, a^{6} + 100811 \, a^{5} + 628887 \, a^{4} + 2354874 \, a^{3} + 5293208 \, a^{2} + {\left(11 \, a^{12} + 462 \, a^{11} + 8881 \, a^{10} + 103320 \, a^{9} + 810205 \, a^{8} + 4511542 \, a^{7} + 18292039 \, a^{6} + 54410692 \, a^{5} + 117844800 \, a^{4} + 181238400 \, a^{3} + 187875072 \, a^{2} + 117863424 \, a + 33841152\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 6613472 \, a + 3543424\right)} \sqrt{\frac{105 \, a^{4} + 1470 \, a^{3} + 7749 \, a^{2} - {\left(a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832\right)} \sqrt{\frac{2401 \, a^{4} + 33124 \, a^{3} + 171966 \, a^{2} + 398164 \, a + 346921}{a^{15} + 50 \, a^{14} + 1165 \, a^{13} + 16780 \, a^{12} + 167090 \, a^{11} + 1218460 \, a^{10} + 6722130 \, a^{9} + 28570320 \, a^{8} + 94320045 \, a^{7} + 241870050 \, a^{6} + 477857313 \, a^{5} + 714317940 \, a^{4} + 782071200 \, a^{3} + 592064640 \, a^{2} + 277136640 \, a + 60466176}} + 18228 \, a + 16144}{a^{10} + 35 \, a^{9} + 550 \, a^{8} + 5110 \, a^{7} + 31085 \, a^{6} + 129367 \, a^{5} + 373020 \, a^{4} + 735840 \, a^{3} + 950400 \, a^{2} + 725760 \, a + 248832}} - 11228868 \, a - 9923472\right) + 524 \, a^{2} - 4 \, {\left(11 \, a^{3} + 107 \, a^{2} - 84 \, a - 1152\right)} x + 1632 \, a + 1152}{128 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)}}"," ",0,"-1/128*(24*(2*a + 7)*x^7 - 168*(2*a + 7)*x^6 + 4*(7*a^2 + 343*a + 1116)*x^5 - 20*(7*a^2 + 175*a + 528)*x^4 + 8*(34*a^2 + 679*a + 1968)*x^3 + 44*a^3 - 8*(32*a^2 + 623*a + 1800)*x^2 - 3*((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 + (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832))*log(-64827*a^4 - 907578*a^3 - 4780647*a^2 + 27*(2401*a^4 + 33614*a^3 + 177061*a^2 + 415884*a + 367536)*x + 27*(343*a^7 + 8981*a^6 + 100811*a^5 + 628887*a^4 + 2354874*a^3 + 5293208*a^2 - (11*a^12 + 462*a^11 + 8881*a^10 + 103320*a^9 + 810205*a^8 + 4511542*a^7 + 18292039*a^6 + 54410692*a^5 + 117844800*a^4 + 181238400*a^3 + 187875072*a^2 + 117863424*a + 33841152)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 6613472*a + 3543424)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 + (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)) - 11228868*a - 9923472) + 3*((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 + (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832))*log(-64827*a^4 - 907578*a^3 - 4780647*a^2 + 27*(2401*a^4 + 33614*a^3 + 177061*a^2 + 415884*a + 367536)*x - 27*(343*a^7 + 8981*a^6 + 100811*a^5 + 628887*a^4 + 2354874*a^3 + 5293208*a^2 - (11*a^12 + 462*a^11 + 8881*a^10 + 103320*a^9 + 810205*a^8 + 4511542*a^7 + 18292039*a^6 + 54410692*a^5 + 117844800*a^4 + 181238400*a^3 + 187875072*a^2 + 117863424*a + 33841152)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 6613472*a + 3543424)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 + (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)) - 11228868*a - 9923472) - 3*((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 - (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832))*log(-64827*a^4 - 907578*a^3 - 4780647*a^2 + 27*(2401*a^4 + 33614*a^3 + 177061*a^2 + 415884*a + 367536)*x + 27*(343*a^7 + 8981*a^6 + 100811*a^5 + 628887*a^4 + 2354874*a^3 + 5293208*a^2 + (11*a^12 + 462*a^11 + 8881*a^10 + 103320*a^9 + 810205*a^8 + 4511542*a^7 + 18292039*a^6 + 54410692*a^5 + 117844800*a^4 + 181238400*a^3 + 187875072*a^2 + 117863424*a + 33841152)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 6613472*a + 3543424)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 - (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)) - 11228868*a - 9923472) + 3*((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 - (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832))*log(-64827*a^4 - 907578*a^3 - 4780647*a^2 + 27*(2401*a^4 + 33614*a^3 + 177061*a^2 + 415884*a + 367536)*x - 27*(343*a^7 + 8981*a^6 + 100811*a^5 + 628887*a^4 + 2354874*a^3 + 5293208*a^2 + (11*a^12 + 462*a^11 + 8881*a^10 + 103320*a^9 + 810205*a^8 + 4511542*a^7 + 18292039*a^6 + 54410692*a^5 + 117844800*a^4 + 181238400*a^3 + 187875072*a^2 + 117863424*a + 33841152)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 6613472*a + 3543424)*sqrt((105*a^4 + 1470*a^3 + 7749*a^2 - (a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)*sqrt((2401*a^4 + 33124*a^3 + 171966*a^2 + 398164*a + 346921)/(a^15 + 50*a^14 + 1165*a^13 + 16780*a^12 + 167090*a^11 + 1218460*a^10 + 6722130*a^9 + 28570320*a^8 + 94320045*a^7 + 241870050*a^6 + 477857313*a^5 + 714317940*a^4 + 782071200*a^3 + 592064640*a^2 + 277136640*a + 60466176)) + 18228*a + 16144)/(a^10 + 35*a^9 + 550*a^8 + 5110*a^7 + 31085*a^6 + 129367*a^5 + 373020*a^4 + 735840*a^3 + 950400*a^2 + 725760*a + 248832)) - 11228868*a - 9923472) + 524*a^2 - 4*(11*a^3 + 107*a^2 - 84*a - 1152)*x + 1632*a + 1152)/((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x)","B",0
123,1,222,0,0.782989," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^4,x, algorithm=""fricas"")","\frac{1}{18} x^{18} - \frac{16}{17} x^{17} + 8 x^{16} - \frac{224}{5} x^{15} - \frac{2}{7} x^{14} a + \frac{1280}{7} x^{14} + \frac{48}{13} x^{13} a - \frac{7424}{13} x^{13} - 24 x^{12} a + \frac{4192}{3} x^{12} + \frac{1120}{11} x^{11} a + \frac{3}{5} x^{10} a^{2} - \frac{29696}{11} x^{11} - \frac{1536}{5} x^{10} a - \frac{16}{3} x^{9} a^{2} + 4096 x^{10} + \frac{2048}{3} x^{9} a + 24 x^{8} a^{2} - \frac{14336}{3} x^{9} - 1120 x^{8} a - \frac{480}{7} x^{7} a^{2} - \frac{2}{3} x^{6} a^{3} + 4096 x^{8} + \frac{9216}{7} x^{7} a + 128 x^{6} a^{2} + \frac{16}{5} x^{5} a^{3} - \frac{16384}{7} x^{7} - 1024 x^{6} a - \frac{768}{5} x^{5} a^{2} - 8 x^{4} a^{3} + \frac{2048}{3} x^{6} + \frac{2048}{5} x^{5} a + 96 x^{4} a^{2} + \frac{32}{3} x^{3} a^{3} + \frac{1}{2} x^{2} a^{4}"," ",0,"1/18*x^18 - 16/17*x^17 + 8*x^16 - 224/5*x^15 - 2/7*x^14*a + 1280/7*x^14 + 48/13*x^13*a - 7424/13*x^13 - 24*x^12*a + 4192/3*x^12 + 1120/11*x^11*a + 3/5*x^10*a^2 - 29696/11*x^11 - 1536/5*x^10*a - 16/3*x^9*a^2 + 4096*x^10 + 2048/3*x^9*a + 24*x^8*a^2 - 14336/3*x^9 - 1120*x^8*a - 480/7*x^7*a^2 - 2/3*x^6*a^3 + 4096*x^8 + 9216/7*x^7*a + 128*x^6*a^2 + 16/5*x^5*a^3 - 16384/7*x^7 - 1024*x^6*a - 768/5*x^5*a^2 - 8*x^4*a^3 + 2048/3*x^6 + 2048/5*x^5*a + 96*x^4*a^2 + 32/3*x^3*a^3 + 1/2*x^2*a^4","A",0
124,1,133,0,0.982409," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""fricas"")","-\frac{1}{14} x^{14} + \frac{12}{13} x^{13} - 6 x^{12} + \frac{280}{11} x^{11} + \frac{3}{10} x^{10} a - \frac{384}{5} x^{10} - \frac{8}{3} x^{9} a + \frac{512}{3} x^{9} + 12 x^{8} a - 280 x^{8} - \frac{240}{7} x^{7} a - \frac{1}{2} x^{6} a^{2} + \frac{2304}{7} x^{7} + 64 x^{6} a + \frac{12}{5} x^{5} a^{2} - 256 x^{6} - \frac{384}{5} x^{5} a - 6 x^{4} a^{2} + \frac{512}{5} x^{5} + 48 x^{4} a + 8 x^{3} a^{2} + \frac{1}{2} x^{2} a^{3}"," ",0,"-1/14*x^14 + 12/13*x^13 - 6*x^12 + 280/11*x^11 + 3/10*x^10*a - 384/5*x^10 - 8/3*x^9*a + 512/3*x^9 + 12*x^8*a - 280*x^8 - 240/7*x^7*a - 1/2*x^6*a^2 + 2304/7*x^7 + 64*x^6*a + 12/5*x^5*a^2 - 256*x^6 - 384/5*x^5*a - 6*x^4*a^2 + 512/5*x^5 + 48*x^4*a + 8*x^3*a^2 + 1/2*x^2*a^3","A",0
125,1,68,0,0.861043," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""fricas"")","\frac{1}{10} x^{10} - \frac{8}{9} x^{9} + 4 x^{8} - \frac{80}{7} x^{7} - \frac{1}{3} x^{6} a + \frac{64}{3} x^{6} + \frac{8}{5} x^{5} a - \frac{128}{5} x^{5} - 4 x^{4} a + 16 x^{4} + \frac{16}{3} x^{3} a + \frac{1}{2} x^{2} a^{2}"," ",0,"1/10*x^10 - 8/9*x^9 + 4*x^8 - 80/7*x^7 - 1/3*x^6*a + 64/3*x^6 + 8/5*x^5*a - 128/5*x^5 - 4*x^4*a + 16*x^4 + 16/3*x^3*a + 1/2*x^2*a^2","A",0
126,1,27,0,1.019183," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""fricas"")","-\frac{1}{6} x^{6} + \frac{4}{5} x^{5} - 2 x^{4} + \frac{8}{3} x^{3} + \frac{1}{2} x^{2} a"," ",0,"-1/6*x^6 + 4/5*x^5 - 2*x^4 + 8/3*x^3 + 1/2*x^2*a","A",0
127,-1,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,1,222,0,1.246356," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^4,x, algorithm=""fricas"")","\frac{1}{19} x^{19} - \frac{8}{9} x^{18} + \frac{128}{17} x^{17} - 42 x^{16} - \frac{4}{15} x^{15} a + \frac{512}{3} x^{15} + \frac{24}{7} x^{14} a - \frac{3712}{7} x^{14} - \frac{288}{13} x^{13} a + \frac{16768}{13} x^{13} + \frac{280}{3} x^{12} a + \frac{6}{11} x^{11} a^{2} - \frac{7424}{3} x^{12} - \frac{3072}{11} x^{11} a - \frac{24}{5} x^{10} a^{2} + \frac{40960}{11} x^{11} + \frac{3072}{5} x^{10} a + \frac{64}{3} x^{9} a^{2} - \frac{21504}{5} x^{10} - \frac{8960}{9} x^{9} a - 60 x^{8} a^{2} - \frac{4}{7} x^{7} a^{3} + \frac{32768}{9} x^{9} + 1152 x^{8} a + \frac{768}{7} x^{7} a^{2} + \frac{8}{3} x^{6} a^{3} - 2048 x^{8} - \frac{6144}{7} x^{7} a - 128 x^{6} a^{2} - \frac{32}{5} x^{5} a^{3} + \frac{4096}{7} x^{7} + \frac{1024}{3} x^{6} a + \frac{384}{5} x^{5} a^{2} + 8 x^{4} a^{3} + \frac{1}{3} x^{3} a^{4}"," ",0,"1/19*x^19 - 8/9*x^18 + 128/17*x^17 - 42*x^16 - 4/15*x^15*a + 512/3*x^15 + 24/7*x^14*a - 3712/7*x^14 - 288/13*x^13*a + 16768/13*x^13 + 280/3*x^12*a + 6/11*x^11*a^2 - 7424/3*x^12 - 3072/11*x^11*a - 24/5*x^10*a^2 + 40960/11*x^11 + 3072/5*x^10*a + 64/3*x^9*a^2 - 21504/5*x^10 - 8960/9*x^9*a - 60*x^8*a^2 - 4/7*x^7*a^3 + 32768/9*x^9 + 1152*x^8*a + 768/7*x^7*a^2 + 8/3*x^6*a^3 - 2048*x^8 - 6144/7*x^7*a - 128*x^6*a^2 - 32/5*x^5*a^3 + 4096/7*x^7 + 1024/3*x^6*a + 384/5*x^5*a^2 + 8*x^4*a^3 + 1/3*x^3*a^4","A",0
131,1,133,0,0.912667," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""fricas"")","-\frac{1}{15} x^{15} + \frac{6}{7} x^{14} - \frac{72}{13} x^{13} + \frac{70}{3} x^{12} + \frac{3}{11} x^{11} a - \frac{768}{11} x^{11} - \frac{12}{5} x^{10} a + \frac{768}{5} x^{10} + \frac{32}{3} x^{9} a - \frac{2240}{9} x^{9} - 30 x^{8} a - \frac{3}{7} x^{7} a^{2} + 288 x^{8} + \frac{384}{7} x^{7} a + 2 x^{6} a^{2} - \frac{1536}{7} x^{7} - 64 x^{6} a - \frac{24}{5} x^{5} a^{2} + \frac{256}{3} x^{6} + \frac{192}{5} x^{5} a + 6 x^{4} a^{2} + \frac{1}{3} x^{3} a^{3}"," ",0,"-1/15*x^15 + 6/7*x^14 - 72/13*x^13 + 70/3*x^12 + 3/11*x^11*a - 768/11*x^11 - 12/5*x^10*a + 768/5*x^10 + 32/3*x^9*a - 2240/9*x^9 - 30*x^8*a - 3/7*x^7*a^2 + 288*x^8 + 384/7*x^7*a + 2*x^6*a^2 - 1536/7*x^7 - 64*x^6*a - 24/5*x^5*a^2 + 256/3*x^6 + 192/5*x^5*a + 6*x^4*a^2 + 1/3*x^3*a^3","A",0
132,1,68,0,0.934814," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} - \frac{4}{5} x^{10} + \frac{32}{9} x^{9} - 10 x^{8} - \frac{2}{7} x^{7} a + \frac{128}{7} x^{7} + \frac{4}{3} x^{6} a - \frac{64}{3} x^{6} - \frac{16}{5} x^{5} a + \frac{64}{5} x^{5} + 4 x^{4} a + \frac{1}{3} x^{3} a^{2}"," ",0,"1/11*x^11 - 4/5*x^10 + 32/9*x^9 - 10*x^8 - 2/7*x^7*a + 128/7*x^7 + 4/3*x^6*a - 64/3*x^6 - 16/5*x^5*a + 64/5*x^5 + 4*x^4*a + 1/3*x^3*a^2","A",0
133,1,27,0,1.060441," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""fricas"")","-\frac{1}{7} x^{7} + \frac{2}{3} x^{6} - \frac{8}{5} x^{5} + 2 x^{4} + \frac{1}{3} x^{3} a"," ",0,"-1/7*x^7 + 2/3*x^6 - 8/5*x^5 + 2*x^4 + 1/3*x^3*a","A",0
134,-1,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate(x^4/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate(x^3/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate(x^2/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate(x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,-1,0,0,0.000000," ","integrate(1/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,-1,0,0,0.000000," ","integrate(1/x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate(1/x^2/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate(x^5/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate(x^4/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,-1,0,0,0.000000," ","integrate(x^3/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,1,1277,0,4.125980," ","integrate(x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\frac{1}{324} \, \sqrt{\frac{1}{633}} \sqrt{6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81} \log\left(\frac{1}{211} \, \sqrt{\frac{1}{633}} {\left(3 \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} - 3741 \cdot 18^{\frac{2}{3}} - 4988 \cdot 18^{\frac{1}{3}} - 24867\right)} \sqrt{6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81} - \frac{1}{422} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 2 \, x + \frac{729}{211} \cdot 18^{\frac{2}{3}} + \frac{972}{211} \cdot 18^{\frac{1}{3}} + \frac{8289}{422}\right) - \frac{1}{324} \, \sqrt{\frac{1}{633}} \sqrt{6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81} \log\left(-\frac{1}{211} \, \sqrt{\frac{1}{633}} {\left(3 \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} - 3741 \cdot 18^{\frac{2}{3}} - 4988 \cdot 18^{\frac{1}{3}} - 24867\right)} \sqrt{6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81} - \frac{1}{422} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 2 \, x + \frac{729}{211} \cdot 18^{\frac{2}{3}} + \frac{972}{211} \cdot 18^{\frac{1}{3}} + \frac{8289}{422}\right) - \frac{1}{136728} \, \sqrt{1266} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} \log\left(2 \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 18 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} + \frac{1}{211} \, {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 9 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} - 211 \, \sqrt{1266}\right)} - 1247 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} + 51273 \, \sqrt{1266}\right)} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} + 3376 \, x - 2916 \cdot 18^{\frac{2}{3}} - 3888 \cdot 18^{\frac{1}{3}} - 16578\right) + \frac{1}{136728} \, \sqrt{1266} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} \log\left(2 \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 18 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} - \frac{1}{211} \, {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 9 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} - 211 \, \sqrt{1266}\right)} - 1247 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} + 51273 \, \sqrt{1266}\right)} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} + 3376 \, x - 2916 \cdot 18^{\frac{2}{3}} - 3888 \cdot 18^{\frac{1}{3}} - 16578\right) - \frac{1}{136728} \, \sqrt{1266} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} \log\left(2 \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} - 18 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} + \frac{1}{211} \, {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} - 9 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} - 211 \, \sqrt{1266}\right)} - 1247 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} + 51273 \, \sqrt{1266}\right)} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} + 3376 \, x - 2916 \cdot 18^{\frac{2}{3}} - 3888 \cdot 18^{\frac{1}{3}} - 16578\right) + \frac{1}{136728} \, \sqrt{1266} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} \log\left(2 \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} - 18 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} - \frac{1}{211} \, {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} - 9 \, \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} {\left(6 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} - 211 \, \sqrt{1266}\right)} - 1247 \, \sqrt{1266} {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)} + 51273 \, \sqrt{1266}\right)} \sqrt{-\frac{2}{3} \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{27} \, {\left(6 \cdot 18^{\frac{2}{3}} + 8 \cdot 18^{\frac{1}{3}} + 81\right)}^{2} + 36 \cdot 18^{\frac{2}{3}} + 48 \cdot 18^{\frac{1}{3}} + 371} - \frac{8}{9} \cdot 18^{\frac{1}{3}} + 18} + 3376 \, x - 2916 \cdot 18^{\frac{2}{3}} - 3888 \cdot 18^{\frac{1}{3}} - 16578\right)"," ",0,"1/324*sqrt(1/633)*sqrt(6*18^(2/3) + 8*18^(1/3) + 81)*log(1/211*sqrt(1/633)*(3*(6*18^(2/3) + 8*18^(1/3) + 81)^2 - 3741*18^(2/3) - 4988*18^(1/3) - 24867)*sqrt(6*18^(2/3) + 8*18^(1/3) + 81) - 1/422*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 2*x + 729/211*18^(2/3) + 972/211*18^(1/3) + 8289/422) - 1/324*sqrt(1/633)*sqrt(6*18^(2/3) + 8*18^(1/3) + 81)*log(-1/211*sqrt(1/633)*(3*(6*18^(2/3) + 8*18^(1/3) + 81)^2 - 3741*18^(2/3) - 4988*18^(1/3) - 24867)*sqrt(6*18^(2/3) + 8*18^(1/3) + 81) - 1/422*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 2*x + 729/211*18^(2/3) + 972/211*18^(1/3) + 8289/422) - 1/136728*sqrt(1266)*sqrt(-2/3*18^(2/3) + sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18)*log(2*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 18*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*18^(2/3) + 8*18^(1/3) + 81) + 1/211*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 9*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) - 211*sqrt(1266)) - 1247*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) + 51273*sqrt(1266))*sqrt(-2/3*18^(2/3) + sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18) + 3376*x - 2916*18^(2/3) - 3888*18^(1/3) - 16578) + 1/136728*sqrt(1266)*sqrt(-2/3*18^(2/3) + sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18)*log(2*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 18*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*18^(2/3) + 8*18^(1/3) + 81) - 1/211*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 9*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) - 211*sqrt(1266)) - 1247*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) + 51273*sqrt(1266))*sqrt(-2/3*18^(2/3) + sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18) + 3376*x - 2916*18^(2/3) - 3888*18^(1/3) - 16578) - 1/136728*sqrt(1266)*sqrt(-2/3*18^(2/3) - sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18)*log(2*(6*18^(2/3) + 8*18^(1/3) + 81)^2 - 18*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*18^(2/3) + 8*18^(1/3) + 81) + 1/211*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81)^2 - 9*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) - 211*sqrt(1266)) - 1247*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) + 51273*sqrt(1266))*sqrt(-2/3*18^(2/3) - sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18) + 3376*x - 2916*18^(2/3) - 3888*18^(1/3) - 16578) + 1/136728*sqrt(1266)*sqrt(-2/3*18^(2/3) - sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18)*log(2*(6*18^(2/3) + 8*18^(1/3) + 81)^2 - 18*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*18^(2/3) + 8*18^(1/3) + 81) - 1/211*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81)^2 - 9*sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371)*(6*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) - 211*sqrt(1266)) - 1247*sqrt(1266)*(6*18^(2/3) + 8*18^(1/3) + 81) + 51273*sqrt(1266))*sqrt(-2/3*18^(2/3) - sqrt(-1/27*(6*18^(2/3) + 8*18^(1/3) + 81)^2 + 36*18^(2/3) + 48*18^(1/3) + 371) - 8/9*18^(1/3) + 18) + 3376*x - 2916*18^(2/3) - 3888*18^(1/3) - 16578)","B",0
147,-1,0,0,0.000000," ","integrate(x/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,-1,0,0,0.000000," ","integrate(1/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate(1/x/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate(1/x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate(x^8/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate(x^7/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,-1,0,0,0.000000," ","integrate(x^6/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,1,1445,0,3.888910," ","integrate(x^5/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\frac{182304 \, x^{5} - 1230552 \, x^{4} + 33224904 \, x^{3} + 422 \, \sqrt{\frac{1}{633}} {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)} \sqrt{5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457} \log\left(\frac{2}{1982119441} \, \sqrt{\frac{1}{633}} {\left(7238020557 \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} - 4479023748400406176979673 \cdot 18^{\frac{2}{3}} - 8334306522507661258645112 \cdot 18^{\frac{1}{3}} - 26862559811422885347120477\right)} \sqrt{5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457} - \frac{7383041510}{9393931} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 247458158879850620 \, x + \frac{5132255454960803463351330}{9393931} \cdot 18^{\frac{2}{3}} + \frac{9549802036377046040753520}{9393931} \cdot 18^{\frac{1}{3}} + \frac{27278928233033940032425830}{9393931}\right) - 422 \, \sqrt{\frac{1}{633}} {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)} \sqrt{5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457} \log\left(-\frac{2}{1982119441} \, \sqrt{\frac{1}{633}} {\left(7238020557 \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} - 4479023748400406176979673 \cdot 18^{\frac{2}{3}} - 8334306522507661258645112 \cdot 18^{\frac{1}{3}} - 26862559811422885347120477\right)} \sqrt{5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457} - \frac{7383041510}{9393931} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 247458158879850620 \, x + \frac{5132255454960803463351330}{9393931} \cdot 18^{\frac{2}{3}} + \frac{9549802036377046040753520}{9393931} \cdot 18^{\frac{1}{3}} + \frac{27278928233033940032425830}{9393931}\right) - 9 \, \sqrt{422} {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} \log\left(\frac{14766083020}{211} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + \frac{3064230}{211} \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(5895278433468 \cdot 18^{\frac{2}{3}} + 10969590754592 \cdot 18^{\frac{1}{3}} + 57028339027521\right)} + \frac{9}{9393931} \, {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 243 \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} - 161351097450615865 \, \sqrt{422}\right)} - 1779341296985705429 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} + 26505855880569051992480475 \, \sqrt{422}\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} + 44068338765959317812080 \, x - \frac{10264510909921606926702660}{211} \cdot 18^{\frac{2}{3}} - \frac{19099604072754092081507040}{211} \cdot 18^{\frac{1}{3}} - \frac{54557856466067880064851660}{211}\right) + 9 \, \sqrt{422} {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} \log\left(\frac{14766083020}{211} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + \frac{3064230}{211} \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(5895278433468 \cdot 18^{\frac{2}{3}} + 10969590754592 \cdot 18^{\frac{1}{3}} + 57028339027521\right)} - \frac{9}{9393931} \, {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 243 \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} - 161351097450615865 \, \sqrt{422}\right)} - 1779341296985705429 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} + 26505855880569051992480475 \, \sqrt{422}\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} + \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} + 44068338765959317812080 \, x - \frac{10264510909921606926702660}{211} \cdot 18^{\frac{2}{3}} - \frac{19099604072754092081507040}{211} \cdot 18^{\frac{1}{3}} - \frac{54557856466067880064851660}{211}\right) - 9 \, \sqrt{422} {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} \log\left(\frac{14766083020}{211} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} - \frac{3064230}{211} \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(5895278433468 \cdot 18^{\frac{2}{3}} + 10969590754592 \cdot 18^{\frac{1}{3}} + 57028339027521\right)} + \frac{9}{9393931} \, {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} - 243 \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} - 161351097450615865 \, \sqrt{422}\right)} - 1779341296985705429 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} + 26505855880569051992480475 \, \sqrt{422}\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} + 44068338765959317812080 \, x - \frac{10264510909921606926702660}{211} \cdot 18^{\frac{2}{3}} - \frac{19099604072754092081507040}{211} \cdot 18^{\frac{1}{3}} - \frac{54557856466067880064851660}{211}\right) + 9 \, \sqrt{422} {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} \log\left(\frac{14766083020}{211} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} - \frac{3064230}{211} \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(5895278433468 \cdot 18^{\frac{2}{3}} + 10969590754592 \cdot 18^{\frac{1}{3}} + 57028339027521\right)} - \frac{9}{9393931} \, {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} - 243 \, \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} {\left(14476041114 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} - 161351097450615865 \, \sqrt{422}\right)} - 1779341296985705429 \, \sqrt{422} {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)} + 26505855880569051992480475 \, \sqrt{422}\right)} \sqrt{-20718 \cdot 18^{\frac{2}{3}} - \sqrt{-\frac{1}{19683} \, {\left(5034474 \cdot 18^{\frac{2}{3}} + 9367856 \cdot 18^{\frac{1}{3}} + 44687457\right)}^{2} + 22860116892 \cdot 18^{\frac{2}{3}} + \frac{3445478701088}{81} \cdot 18^{\frac{1}{3}} + 273974962699} - \frac{9367856}{243} \cdot 18^{\frac{1}{3}} + 367798} + 44068338765959317812080 \, x - \frac{10264510909921606926702660}{211} \cdot 18^{\frac{2}{3}} - \frac{19099604072754092081507040}{211} \cdot 18^{\frac{1}{3}} - \frac{54557856466067880064851660}{211}\right) + 29533248 \, x^{2} - 6562944 \, x + 44299872}{28041818976 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}}"," ",0,"1/28041818976*(182304*x^5 - 1230552*x^4 + 33224904*x^3 + 422*sqrt(1/633)*(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)*sqrt(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)*log(2/1982119441*sqrt(1/633)*(7238020557*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 - 4479023748400406176979673*18^(2/3) - 8334306522507661258645112*18^(1/3) - 26862559811422885347120477)*sqrt(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) - 7383041510/9393931*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 247458158879850620*x + 5132255454960803463351330/9393931*18^(2/3) + 9549802036377046040753520/9393931*18^(1/3) + 27278928233033940032425830/9393931) - 422*sqrt(1/633)*(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)*sqrt(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)*log(-2/1982119441*sqrt(1/633)*(7238020557*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 - 4479023748400406176979673*18^(2/3) - 8334306522507661258645112*18^(1/3) - 26862559811422885347120477)*sqrt(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) - 7383041510/9393931*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 247458158879850620*x + 5132255454960803463351330/9393931*18^(2/3) + 9549802036377046040753520/9393931*18^(1/3) + 27278928233033940032425830/9393931) - 9*sqrt(422)*(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)*sqrt(-20718*18^(2/3) + sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798)*log(14766083020/211*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 3064230/211*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(5895278433468*18^(2/3) + 10969590754592*18^(1/3) + 57028339027521) + 9/9393931*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 243*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) - 161351097450615865*sqrt(422)) - 1779341296985705429*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) + 26505855880569051992480475*sqrt(422))*sqrt(-20718*18^(2/3) + sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798) + 44068338765959317812080*x - 10264510909921606926702660/211*18^(2/3) - 19099604072754092081507040/211*18^(1/3) - 54557856466067880064851660/211) + 9*sqrt(422)*(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)*sqrt(-20718*18^(2/3) + sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798)*log(14766083020/211*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 3064230/211*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(5895278433468*18^(2/3) + 10969590754592*18^(1/3) + 57028339027521) - 9/9393931*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 243*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) - 161351097450615865*sqrt(422)) - 1779341296985705429*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) + 26505855880569051992480475*sqrt(422))*sqrt(-20718*18^(2/3) + sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798) + 44068338765959317812080*x - 10264510909921606926702660/211*18^(2/3) - 19099604072754092081507040/211*18^(1/3) - 54557856466067880064851660/211) - 9*sqrt(422)*(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)*sqrt(-20718*18^(2/3) - sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798)*log(14766083020/211*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 - 3064230/211*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(5895278433468*18^(2/3) + 10969590754592*18^(1/3) + 57028339027521) + 9/9393931*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 - 243*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) - 161351097450615865*sqrt(422)) - 1779341296985705429*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) + 26505855880569051992480475*sqrt(422))*sqrt(-20718*18^(2/3) - sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798) + 44068338765959317812080*x - 10264510909921606926702660/211*18^(2/3) - 19099604072754092081507040/211*18^(1/3) - 54557856466067880064851660/211) + 9*sqrt(422)*(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)*sqrt(-20718*18^(2/3) - sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798)*log(14766083020/211*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 - 3064230/211*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(5895278433468*18^(2/3) + 10969590754592*18^(1/3) + 57028339027521) - 9/9393931*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 - 243*sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699)*(14476041114*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) - 161351097450615865*sqrt(422)) - 1779341296985705429*sqrt(422)*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457) + 26505855880569051992480475*sqrt(422))*sqrt(-20718*18^(2/3) - sqrt(-1/19683*(5034474*18^(2/3) + 9367856*18^(1/3) + 44687457)^2 + 22860116892*18^(2/3) + 3445478701088/81*18^(1/3) + 273974962699) - 9367856/243*18^(1/3) + 367798) + 44068338765959317812080*x - 10264510909921606926702660/211*18^(2/3) - 19099604072754092081507040/211*18^(1/3) - 54557856466067880064851660/211) + 29533248*x^2 - 6562944*x + 44299872)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216)","B",0
155,-1,0,0,0.000000," ","integrate(x^4/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-1,0,0,0.000000," ","integrate(x^3/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate(x^2/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,1,21,0,0.794335," ","integrate((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(d*x+c),x, algorithm=""fricas"")","\frac{1}{5} \, b^{2} x^{5} + \frac{2}{3} \, a b x^{3} + a^{2} x"," ",0,"1/5*b^2*x^5 + 2/3*a*b*x^3 + a^2*x","A",0
159,1,105,0,0.935261," ","integrate((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(d*x+c)^2,x, algorithm=""fricas"")","\frac{3 \, b^{2} d^{4} x^{4} - 4 \, b^{2} c d^{3} x^{3} + 6 \, {\left(b^{2} c^{2} d^{2} + 2 \, a b d^{4}\right)} x^{2} - 12 \, {\left(b^{2} c^{3} d + 2 \, a b c d^{3}\right)} x + 12 \, {\left(b^{2} c^{4} + 2 \, a b c^{2} d^{2} + a^{2} d^{4}\right)} \log\left(d x + c\right)}{12 \, d^{5}}"," ",0,"1/12*(3*b^2*d^4*x^4 - 4*b^2*c*d^3*x^3 + 6*(b^2*c^2*d^2 + 2*a*b*d^4)*x^2 - 12*(b^2*c^3*d + 2*a*b*c*d^3)*x + 12*(b^2*c^4 + 2*a*b*c^2*d^2 + a^2*d^4)*log(d*x + c))/d^5","A",0
160,1,154,0,0.713840," ","integrate((2*c*x+b)*(c*x^2+b*x)^13,x, algorithm=""fricas"")","\frac{1}{14} x^{28} c^{14} + x^{27} c^{13} b + \frac{13}{2} x^{26} c^{12} b^{2} + 26 x^{25} c^{11} b^{3} + \frac{143}{2} x^{24} c^{10} b^{4} + 143 x^{23} c^{9} b^{5} + \frac{429}{2} x^{22} c^{8} b^{6} + \frac{1716}{7} x^{21} c^{7} b^{7} + \frac{429}{2} x^{20} c^{6} b^{8} + 143 x^{19} c^{5} b^{9} + \frac{143}{2} x^{18} c^{4} b^{10} + 26 x^{17} c^{3} b^{11} + \frac{13}{2} x^{16} c^{2} b^{12} + x^{15} c b^{13} + \frac{1}{14} x^{14} b^{14}"," ",0,"1/14*x^28*c^14 + x^27*c^13*b + 13/2*x^26*c^12*b^2 + 26*x^25*c^11*b^3 + 143/2*x^24*c^10*b^4 + 143*x^23*c^9*b^5 + 429/2*x^22*c^8*b^6 + 1716/7*x^21*c^7*b^7 + 429/2*x^20*c^6*b^8 + 143*x^19*c^5*b^9 + 143/2*x^18*c^4*b^10 + 26*x^17*c^3*b^11 + 13/2*x^16*c^2*b^12 + x^15*c*b^13 + 1/14*x^14*b^14","B",0
161,1,156,0,1.241469," ","integrate(x^14*(2*c*x^2+b)*(c*x^3+b*x)^13,x, algorithm=""fricas"")","\frac{1}{28} x^{56} c^{14} + \frac{1}{2} x^{54} c^{13} b + \frac{13}{4} x^{52} c^{12} b^{2} + 13 x^{50} c^{11} b^{3} + \frac{143}{4} x^{48} c^{10} b^{4} + \frac{143}{2} x^{46} c^{9} b^{5} + \frac{429}{4} x^{44} c^{8} b^{6} + \frac{858}{7} x^{42} c^{7} b^{7} + \frac{429}{4} x^{40} c^{6} b^{8} + \frac{143}{2} x^{38} c^{5} b^{9} + \frac{143}{4} x^{36} c^{4} b^{10} + 13 x^{34} c^{3} b^{11} + \frac{13}{4} x^{32} c^{2} b^{12} + \frac{1}{2} x^{30} c b^{13} + \frac{1}{28} x^{28} b^{14}"," ",0,"1/28*x^56*c^14 + 1/2*x^54*c^13*b + 13/4*x^52*c^12*b^2 + 13*x^50*c^11*b^3 + 143/4*x^48*c^10*b^4 + 143/2*x^46*c^9*b^5 + 429/4*x^44*c^8*b^6 + 858/7*x^42*c^7*b^7 + 429/4*x^40*c^6*b^8 + 143/2*x^38*c^5*b^9 + 143/4*x^36*c^4*b^10 + 13*x^34*c^3*b^11 + 13/4*x^32*c^2*b^12 + 1/2*x^30*c*b^13 + 1/28*x^28*b^14","B",0
162,1,156,0,1.173335," ","integrate(x^28*(2*c*x^3+b)*(c*x^4+b*x)^13,x, algorithm=""fricas"")","\frac{1}{42} x^{84} c^{14} + \frac{1}{3} x^{81} c^{13} b + \frac{13}{6} x^{78} c^{12} b^{2} + \frac{26}{3} x^{75} c^{11} b^{3} + \frac{143}{6} x^{72} c^{10} b^{4} + \frac{143}{3} x^{69} c^{9} b^{5} + \frac{143}{2} x^{66} c^{8} b^{6} + \frac{572}{7} x^{63} c^{7} b^{7} + \frac{143}{2} x^{60} c^{6} b^{8} + \frac{143}{3} x^{57} c^{5} b^{9} + \frac{143}{6} x^{54} c^{4} b^{10} + \frac{26}{3} x^{51} c^{3} b^{11} + \frac{13}{6} x^{48} c^{2} b^{12} + \frac{1}{3} x^{45} c b^{13} + \frac{1}{42} x^{42} b^{14}"," ",0,"1/42*x^84*c^14 + 1/3*x^81*c^13*b + 13/6*x^78*c^12*b^2 + 26/3*x^75*c^11*b^3 + 143/6*x^72*c^10*b^4 + 143/3*x^69*c^9*b^5 + 143/2*x^66*c^8*b^6 + 572/7*x^63*c^7*b^7 + 143/2*x^60*c^6*b^8 + 143/3*x^57*c^5*b^9 + 143/6*x^54*c^4*b^10 + 26/3*x^51*c^3*b^11 + 13/6*x^48*c^2*b^12 + 1/3*x^45*c*b^13 + 1/42*x^42*b^14","B",0
163,1,262,0,0.979495," ","integrate(x^(-14+14*n)*(b+2*c*x^n)*(b*x+c*x^(1+n))^13,x, algorithm=""fricas"")","\frac{b^{14} x^{14} x^{14 \, n + 14} + 14 \, b^{13} c x^{13} x^{15 \, n + 15} + 91 \, b^{12} c^{2} x^{12} x^{16 \, n + 16} + 364 \, b^{11} c^{3} x^{11} x^{17 \, n + 17} + 1001 \, b^{10} c^{4} x^{10} x^{18 \, n + 18} + 2002 \, b^{9} c^{5} x^{9} x^{19 \, n + 19} + 3003 \, b^{8} c^{6} x^{8} x^{20 \, n + 20} + 3432 \, b^{7} c^{7} x^{7} x^{21 \, n + 21} + 3003 \, b^{6} c^{8} x^{6} x^{22 \, n + 22} + 2002 \, b^{5} c^{9} x^{5} x^{23 \, n + 23} + 1001 \, b^{4} c^{10} x^{4} x^{24 \, n + 24} + 364 \, b^{3} c^{11} x^{3} x^{25 \, n + 25} + 91 \, b^{2} c^{12} x^{2} x^{26 \, n + 26} + 14 \, b c^{13} x x^{27 \, n + 27} + c^{14} x^{28 \, n + 28}}{14 \, n x^{28}}"," ",0,"1/14*(b^14*x^14*x^(14*n + 14) + 14*b^13*c*x^13*x^(15*n + 15) + 91*b^12*c^2*x^12*x^(16*n + 16) + 364*b^11*c^3*x^11*x^(17*n + 17) + 1001*b^10*c^4*x^10*x^(18*n + 18) + 2002*b^9*c^5*x^9*x^(19*n + 19) + 3003*b^8*c^6*x^8*x^(20*n + 20) + 3432*b^7*c^7*x^7*x^(21*n + 21) + 3003*b^6*c^8*x^6*x^(22*n + 22) + 2002*b^5*c^9*x^5*x^(23*n + 23) + 1001*b^4*c^10*x^4*x^(24*n + 24) + 364*b^3*c^11*x^3*x^(25*n + 25) + 91*b^2*c^12*x^2*x^(26*n + 26) + 14*b*c^13*x*x^(27*n + 27) + c^14*x^(28*n + 28))/(n*x^28)","B",0
164,1,10,0,0.726472," ","integrate((2*c*x+b)/(c*x^2+b*x),x, algorithm=""fricas"")","\log\left(c x^{2} + b x\right)"," ",0,"log(c*x^2 + b*x)","A",0
165,1,13,0,0.766587," ","integrate((2*c*x^2+b)/(c*x^3+b*x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(c x^{2} + b\right) + \log\left(x\right)"," ",0,"1/2*log(c*x^2 + b) + log(x)","A",0
166,1,13,0,0.956481," ","integrate((2*c*x^3+b)/(c*x^4+b*x),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(c x^{3} + b\right) + \log\left(x\right)"," ",0,"1/3*log(c*x^3 + b) + log(x)","A",0
167,1,23,0,0.889465," ","integrate((b+2*c*x^n)/(b*x+c*x^(1+n)),x, algorithm=""fricas"")","\frac{{\left(n - 1\right)} \log\left(x\right) + \log\left(b x + c x^{n + 1}\right)}{n}"," ",0,"((n - 1)*log(x) + log(b*x + c*x^(n + 1)))/n","A",0
168,1,81,0,0.942989," ","integrate((2*c*x+b)/(c*x^2+b*x)^8,x, algorithm=""fricas"")","-\frac{1}{7 \, {\left(c^{7} x^{14} + 7 \, b c^{6} x^{13} + 21 \, b^{2} c^{5} x^{12} + 35 \, b^{3} c^{4} x^{11} + 35 \, b^{4} c^{3} x^{10} + 21 \, b^{5} c^{2} x^{9} + 7 \, b^{6} c x^{8} + b^{7} x^{7}\right)}}"," ",0,"-1/7/(c^7*x^14 + 7*b*c^6*x^13 + 21*b^2*c^5*x^12 + 35*b^3*c^4*x^11 + 35*b^4*c^3*x^10 + 21*b^5*c^2*x^9 + 7*b^6*c*x^8 + b^7*x^7)","B",0
169,1,81,0,0.910502," ","integrate((2*c*x^2+b)/x^7/(c*x^3+b*x)^8,x, algorithm=""fricas"")","-\frac{1}{14 \, {\left(c^{7} x^{28} + 7 \, b c^{6} x^{26} + 21 \, b^{2} c^{5} x^{24} + 35 \, b^{3} c^{4} x^{22} + 35 \, b^{4} c^{3} x^{20} + 21 \, b^{5} c^{2} x^{18} + 7 \, b^{6} c x^{16} + b^{7} x^{14}\right)}}"," ",0,"-1/14/(c^7*x^28 + 7*b*c^6*x^26 + 21*b^2*c^5*x^24 + 35*b^3*c^4*x^22 + 35*b^4*c^3*x^20 + 21*b^5*c^2*x^18 + 7*b^6*c*x^16 + b^7*x^14)","B",0
170,1,81,0,1.124588," ","integrate((2*c*x^3+b)/x^14/(c*x^4+b*x)^8,x, algorithm=""fricas"")","-\frac{1}{21 \, {\left(c^{7} x^{42} + 7 \, b c^{6} x^{39} + 21 \, b^{2} c^{5} x^{36} + 35 \, b^{3} c^{4} x^{33} + 35 \, b^{4} c^{3} x^{30} + 21 \, b^{5} c^{2} x^{27} + 7 \, b^{6} c x^{24} + b^{7} x^{21}\right)}}"," ",0,"-1/21/(c^7*x^42 + 7*b*c^6*x^39 + 21*b^2*c^5*x^36 + 35*b^3*c^4*x^33 + 35*b^4*c^3*x^30 + 21*b^5*c^2*x^27 + 7*b^6*c*x^24 + b^7*x^21)","B",0
171,1,143,0,1.732307," ","integrate((b+2*c*x^n)/(x^(-7+7*n))/(b*x+c*x^(1+n))^8,x, algorithm=""fricas"")","-\frac{x^{14}}{7 \, {\left(b^{7} n x^{7} x^{7 \, n + 7} + 7 \, b^{6} c n x^{6} x^{8 \, n + 8} + 21 \, b^{5} c^{2} n x^{5} x^{9 \, n + 9} + 35 \, b^{4} c^{3} n x^{4} x^{10 \, n + 10} + 35 \, b^{3} c^{4} n x^{3} x^{11 \, n + 11} + 21 \, b^{2} c^{5} n x^{2} x^{12 \, n + 12} + 7 \, b c^{6} n x x^{13 \, n + 13} + c^{7} n x^{14 \, n + 14}\right)}}"," ",0,"-1/7*x^14/(b^7*n*x^7*x^(7*n + 7) + 7*b^6*c*n*x^6*x^(8*n + 8) + 21*b^5*c^2*n*x^5*x^(9*n + 9) + 35*b^4*c^3*n*x^4*x^(10*n + 10) + 35*b^3*c^4*n*x^3*x^(11*n + 11) + 21*b^2*c^5*n*x^2*x^(12*n + 12) + 7*b*c^6*n*x*x^(13*n + 13) + c^7*n*x^(14*n + 14))","B",0
172,1,26,0,1.067035," ","integrate((2*c*x+b)*(c*x^2+b*x)^p,x, algorithm=""fricas"")","\frac{{\left(c x^{2} + b x\right)} {\left(c x^{2} + b x\right)}^{p}}{p + 1}"," ",0,"(c*x^2 + b*x)*(c*x^2 + b*x)^p/(p + 1)","A",0
173,1,32,0,1.231456," ","integrate(x^(1+p)*(2*c*x^2+b)*(c*x^3+b*x)^p,x, algorithm=""fricas"")","\frac{{\left(c x^{3} + b x\right)} {\left(c x^{3} + b x\right)}^{p} x^{p + 1}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^3 + b*x)*(c*x^3 + b*x)^p*x^(p + 1)/(p + 1)","A",0
174,1,33,0,0.827173," ","integrate(b*x^(1+p)*(c*x^3+b*x)^p+2*c*x^(3+p)*(c*x^3+b*x)^p,x, algorithm=""fricas"")","\frac{{\left(c x^{2} + b\right)} {\left(c x^{3} + b x\right)}^{p} x^{p + 3}}{2 \, {\left(p + 1\right)} x}"," ",0,"1/2*(c*x^2 + b)*(c*x^3 + b*x)^p*x^(p + 3)/((p + 1)*x)","A",0
175,1,34,0,1.077826," ","integrate(x^(2+2*p)*(2*c*x^3+b)*(c*x^4+b*x)^p,x, algorithm=""fricas"")","\frac{{\left(c x^{4} + b x\right)} {\left(c x^{4} + b x\right)}^{p} x^{2 \, p + 2}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*(c*x^4 + b*x)*(c*x^4 + b*x)^p*x^(2*p + 2)/(p + 1)","A",0
176,1,42,0,0.850114," ","integrate(x^((-1+n)*(1+p))*(b+2*c*x^n)*(b*x+c*x^(1+n))^p,x, algorithm=""fricas"")","\frac{{\left(b x + c x^{n + 1}\right)} {\left(b x + c x^{n + 1}\right)}^{p} x^{{\left(n - 1\right)} p + n - 1}}{n p + n}"," ",0,"(b*x + c*x^(n + 1))*(b*x + c*x^(n + 1))^p*x^((n - 1)*p + n - 1)/(n*p + n)","A",0
177,1,26,0,0.933912," ","integrate((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a),x, algorithm=""fricas"")","\frac{1}{4} \, b d x^{4} + \frac{1}{3} \, b c x^{3} + \frac{1}{2} \, a d x^{2} + a c x"," ",0,"1/4*b*d*x^4 + 1/3*b*c*x^3 + 1/2*a*d*x^2 + a*c*x","A",0
178,1,10,0,0.927534," ","integrate((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{2} \, d x^{2} + c x"," ",0,"1/2*d*x^2 + c*x","A",0
179,1,98,0,0.806772," ","integrate((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{a d \log\left(b x^{2} + a\right) - \sqrt{-a b} c \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{2 \, a b}, \frac{a d \log\left(b x^{2} + a\right) + 2 \, \sqrt{a b} c \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{2 \, a b}\right]"," ",0,"[1/2*(a*d*log(b*x^2 + a) - sqrt(-a*b)*c*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a*b), 1/2*(a*d*log(b*x^2 + a) + 2*sqrt(a*b)*c*arctan(sqrt(a*b)*x/a))/(a*b)]","A",0
180,1,38,0,1.018201," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^n/(n + 1)","A",0
181,1,36,0,0.858652," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + b x\right)} {\left(d x^{3} + c x^{2} + b x\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + b*x)*(d*x^3 + c*x^2 + b*x)^n/(n + 1)","A",0
182,1,35,0,1.018043," ","integrate(x^n*(d*x^2+c*x+b)^n*(3*d*x^2+2*c*x+b),x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + b x\right)} {\left(d x^{2} + c x + b\right)}^{n} x^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + b*x)*(d*x^2 + c*x + b)^n*x^n/(n + 1)","A",0
183,1,28,0,0.954110," ","integrate((3*d*x^2+b)*(d*x^3+b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + b x + a\right)} {\left(d x^{3} + b x + a\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + b*x + a)*(d*x^3 + b*x + a)^n/(n + 1)","A",0
184,1,26,0,1.378726," ","integrate((3*d*x^2+b)*(d*x^3+b*x)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + b x\right)} {\left(d x^{3} + b x\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + b*x)*(d*x^3 + b*x)^n/(n + 1)","A",0
185,1,27,0,1.029972," ","integrate(x^n*(d*x^2+b)^n*(3*d*x^2+b),x, algorithm=""fricas"")","\frac{{\left(d x^{3} + b x\right)} {\left(d x^{2} + b\right)}^{n} x^{n}}{n + 1}"," ",0,"(d*x^3 + b*x)*(d*x^2 + b)^n*x^n/(n + 1)","A",0
186,1,32,0,0.986542," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2+a)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + a\right)} {\left(d x^{3} + c x^{2} + a\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + a)*(d*x^3 + c*x^2 + a)^n/(n + 1)","A",0
187,1,30,0,0.912213," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2}\right)} {\left(d x^{3} + c x^{2}\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*(d*x^3 + c*x^2)^n/(n + 1)","A",0
188,1,31,0,0.792270," ","integrate(x^n*(d*x^2+c*x)^n*(3*d*x^2+2*c*x),x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2}\right)} {\left(d x^{2} + c x\right)}^{n} x^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*(d*x^2 + c*x)^n*x^n/(n + 1)","A",0
189,1,29,0,0.970319," ","integrate(x^(2*n)*(d*x+c)^n*(3*d*x^2+2*c*x),x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2}\right)} {\left(d x + c\right)}^{n} x^{2 \, n}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*(d*x + c)^n*x^(2*n)/(n + 1)","A",0
190,1,32,0,1.072052," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2+a)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + a\right)} {\left(d x^{3} + c x^{2} + a\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + a)*(d*x^3 + c*x^2 + a)^n/(n + 1)","A",0
191,1,30,0,0.662641," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2)^n,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2}\right)} {\left(d x^{3} + c x^{2}\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*(d*x^3 + c*x^2)^n/(n + 1)","A",0
192,1,1956,0,0.569805," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + x^{22} d^{7} b + 7 x^{21} d^{5} c^{3} + 7 x^{21} d^{6} c b + x^{21} d^{7} a + \frac{35}{4} x^{20} d^{4} c^{4} + 21 x^{20} d^{5} c^{2} b + \frac{7}{2} x^{20} d^{6} b^{2} + 7 x^{20} d^{6} c a + 7 x^{19} d^{3} c^{5} + 35 x^{19} d^{4} c^{3} b + 21 x^{19} d^{5} c b^{2} + 21 x^{19} d^{5} c^{2} a + 7 x^{19} d^{6} b a + \frac{7}{2} x^{18} d^{2} c^{6} + 35 x^{18} d^{3} c^{4} b + \frac{105}{2} x^{18} d^{4} c^{2} b^{2} + 7 x^{18} d^{5} b^{3} + 35 x^{18} d^{4} c^{3} a + 42 x^{18} d^{5} c b a + \frac{7}{2} x^{18} d^{6} a^{2} + x^{17} d c^{7} + 21 x^{17} d^{2} c^{5} b + 70 x^{17} d^{3} c^{3} b^{2} + 35 x^{17} d^{4} c b^{3} + 35 x^{17} d^{3} c^{4} a + 105 x^{17} d^{4} c^{2} b a + 21 x^{17} d^{5} b^{2} a + 21 x^{17} d^{5} c a^{2} + \frac{1}{8} x^{16} c^{8} + 7 x^{16} d c^{6} b + \frac{105}{2} x^{16} d^{2} c^{4} b^{2} + 70 x^{16} d^{3} c^{2} b^{3} + \frac{35}{4} x^{16} d^{4} b^{4} + 21 x^{16} d^{2} c^{5} a + 140 x^{16} d^{3} c^{3} b a + 105 x^{16} d^{4} c b^{2} a + \frac{105}{2} x^{16} d^{4} c^{2} a^{2} + 21 x^{16} d^{5} b a^{2} + x^{15} c^{7} b + 21 x^{15} d c^{5} b^{2} + 70 x^{15} d^{2} c^{3} b^{3} + 35 x^{15} d^{3} c b^{4} + 7 x^{15} d c^{6} a + 105 x^{15} d^{2} c^{4} b a + 210 x^{15} d^{3} c^{2} b^{2} a + 35 x^{15} d^{4} b^{3} a + 70 x^{15} d^{3} c^{3} a^{2} + 105 x^{15} d^{4} c b a^{2} + 7 x^{15} d^{5} a^{3} + \frac{7}{2} x^{14} c^{6} b^{2} + 35 x^{14} d c^{4} b^{3} + \frac{105}{2} x^{14} d^{2} c^{2} b^{4} + 7 x^{14} d^{3} b^{5} + x^{14} c^{7} a + 42 x^{14} d c^{5} b a + 210 x^{14} d^{2} c^{3} b^{2} a + 140 x^{14} d^{3} c b^{3} a + \frac{105}{2} x^{14} d^{2} c^{4} a^{2} + 210 x^{14} d^{3} c^{2} b a^{2} + \frac{105}{2} x^{14} d^{4} b^{2} a^{2} + 35 x^{14} d^{4} c a^{3} + 7 x^{13} c^{5} b^{3} + 35 x^{13} d c^{3} b^{4} + 21 x^{13} d^{2} c b^{5} + 7 x^{13} c^{6} b a + 105 x^{13} d c^{4} b^{2} a + 210 x^{13} d^{2} c^{2} b^{3} a + 35 x^{13} d^{3} b^{4} a + 21 x^{13} d c^{5} a^{2} + 210 x^{13} d^{2} c^{3} b a^{2} + 210 x^{13} d^{3} c b^{2} a^{2} + 70 x^{13} d^{3} c^{2} a^{3} + 35 x^{13} d^{4} b a^{3} + \frac{35}{4} x^{12} c^{4} b^{4} + 21 x^{12} d c^{2} b^{5} + \frac{7}{2} x^{12} d^{2} b^{6} + 21 x^{12} c^{5} b^{2} a + 140 x^{12} d c^{3} b^{3} a + 105 x^{12} d^{2} c b^{4} a + \frac{7}{2} x^{12} c^{6} a^{2} + 105 x^{12} d c^{4} b a^{2} + 315 x^{12} d^{2} c^{2} b^{2} a^{2} + 70 x^{12} d^{3} b^{3} a^{2} + 70 x^{12} d^{2} c^{3} a^{3} + 140 x^{12} d^{3} c b a^{3} + \frac{35}{4} x^{12} d^{4} a^{4} + 7 x^{11} c^{3} b^{5} + 7 x^{11} d c b^{6} + 35 x^{11} c^{4} b^{3} a + 105 x^{11} d c^{2} b^{4} a + 21 x^{11} d^{2} b^{5} a + 21 x^{11} c^{5} b a^{2} + 210 x^{11} d c^{3} b^{2} a^{2} + 210 x^{11} d^{2} c b^{3} a^{2} + 35 x^{11} d c^{4} a^{3} + 210 x^{11} d^{2} c^{2} b a^{3} + 70 x^{11} d^{3} b^{2} a^{3} + 35 x^{11} d^{3} c a^{4} + \frac{7}{2} x^{10} c^{2} b^{6} + x^{10} d b^{7} + 35 x^{10} c^{3} b^{4} a + 42 x^{10} d c b^{5} a + \frac{105}{2} x^{10} c^{4} b^{2} a^{2} + 210 x^{10} d c^{2} b^{3} a^{2} + \frac{105}{2} x^{10} d^{2} b^{4} a^{2} + 7 x^{10} c^{5} a^{3} + 140 x^{10} d c^{3} b a^{3} + 210 x^{10} d^{2} c b^{2} a^{3} + \frac{105}{2} x^{10} d^{2} c^{2} a^{4} + 35 x^{10} d^{3} b a^{4} + x^{9} c b^{7} + 21 x^{9} c^{2} b^{5} a + 7 x^{9} d b^{6} a + 70 x^{9} c^{3} b^{3} a^{2} + 105 x^{9} d c b^{4} a^{2} + 35 x^{9} c^{4} b a^{3} + 210 x^{9} d c^{2} b^{2} a^{3} + 70 x^{9} d^{2} b^{3} a^{3} + 35 x^{9} d c^{3} a^{4} + 105 x^{9} d^{2} c b a^{4} + 7 x^{9} d^{3} a^{5} + \frac{1}{8} x^{8} b^{8} + 7 x^{8} c b^{6} a + \frac{105}{2} x^{8} c^{2} b^{4} a^{2} + 21 x^{8} d b^{5} a^{2} + 70 x^{8} c^{3} b^{2} a^{3} + 140 x^{8} d c b^{3} a^{3} + \frac{35}{4} x^{8} c^{4} a^{4} + 105 x^{8} d c^{2} b a^{4} + \frac{105}{2} x^{8} d^{2} b^{2} a^{4} + 21 x^{8} d^{2} c a^{5} + x^{7} b^{7} a + 21 x^{7} c b^{5} a^{2} + 70 x^{7} c^{2} b^{3} a^{3} + 35 x^{7} d b^{4} a^{3} + 35 x^{7} c^{3} b a^{4} + 105 x^{7} d c b^{2} a^{4} + 21 x^{7} d c^{2} a^{5} + 21 x^{7} d^{2} b a^{5} + \frac{7}{2} x^{6} b^{6} a^{2} + 35 x^{6} c b^{4} a^{3} + \frac{105}{2} x^{6} c^{2} b^{2} a^{4} + 35 x^{6} d b^{3} a^{4} + 7 x^{6} c^{3} a^{5} + 42 x^{6} d c b a^{5} + \frac{7}{2} x^{6} d^{2} a^{6} + 7 x^{5} b^{5} a^{3} + 35 x^{5} c b^{3} a^{4} + 21 x^{5} c^{2} b a^{5} + 21 x^{5} d b^{2} a^{5} + 7 x^{5} d c a^{6} + \frac{35}{4} x^{4} b^{4} a^{4} + 21 x^{4} c b^{2} a^{5} + \frac{7}{2} x^{4} c^{2} a^{6} + 7 x^{4} d b a^{6} + 7 x^{3} b^{3} a^{5} + 7 x^{3} c b a^{6} + x^{3} d a^{7} + \frac{7}{2} x^{2} b^{2} a^{6} + x^{2} c a^{7} + x b a^{7}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + x^22*d^7*b + 7*x^21*d^5*c^3 + 7*x^21*d^6*c*b + x^21*d^7*a + 35/4*x^20*d^4*c^4 + 21*x^20*d^5*c^2*b + 7/2*x^20*d^6*b^2 + 7*x^20*d^6*c*a + 7*x^19*d^3*c^5 + 35*x^19*d^4*c^3*b + 21*x^19*d^5*c*b^2 + 21*x^19*d^5*c^2*a + 7*x^19*d^6*b*a + 7/2*x^18*d^2*c^6 + 35*x^18*d^3*c^4*b + 105/2*x^18*d^4*c^2*b^2 + 7*x^18*d^5*b^3 + 35*x^18*d^4*c^3*a + 42*x^18*d^5*c*b*a + 7/2*x^18*d^6*a^2 + x^17*d*c^7 + 21*x^17*d^2*c^5*b + 70*x^17*d^3*c^3*b^2 + 35*x^17*d^4*c*b^3 + 35*x^17*d^3*c^4*a + 105*x^17*d^4*c^2*b*a + 21*x^17*d^5*b^2*a + 21*x^17*d^5*c*a^2 + 1/8*x^16*c^8 + 7*x^16*d*c^6*b + 105/2*x^16*d^2*c^4*b^2 + 70*x^16*d^3*c^2*b^3 + 35/4*x^16*d^4*b^4 + 21*x^16*d^2*c^5*a + 140*x^16*d^3*c^3*b*a + 105*x^16*d^4*c*b^2*a + 105/2*x^16*d^4*c^2*a^2 + 21*x^16*d^5*b*a^2 + x^15*c^7*b + 21*x^15*d*c^5*b^2 + 70*x^15*d^2*c^3*b^3 + 35*x^15*d^3*c*b^4 + 7*x^15*d*c^6*a + 105*x^15*d^2*c^4*b*a + 210*x^15*d^3*c^2*b^2*a + 35*x^15*d^4*b^3*a + 70*x^15*d^3*c^3*a^2 + 105*x^15*d^4*c*b*a^2 + 7*x^15*d^5*a^3 + 7/2*x^14*c^6*b^2 + 35*x^14*d*c^4*b^3 + 105/2*x^14*d^2*c^2*b^4 + 7*x^14*d^3*b^5 + x^14*c^7*a + 42*x^14*d*c^5*b*a + 210*x^14*d^2*c^3*b^2*a + 140*x^14*d^3*c*b^3*a + 105/2*x^14*d^2*c^4*a^2 + 210*x^14*d^3*c^2*b*a^2 + 105/2*x^14*d^4*b^2*a^2 + 35*x^14*d^4*c*a^3 + 7*x^13*c^5*b^3 + 35*x^13*d*c^3*b^4 + 21*x^13*d^2*c*b^5 + 7*x^13*c^6*b*a + 105*x^13*d*c^4*b^2*a + 210*x^13*d^2*c^2*b^3*a + 35*x^13*d^3*b^4*a + 21*x^13*d*c^5*a^2 + 210*x^13*d^2*c^3*b*a^2 + 210*x^13*d^3*c*b^2*a^2 + 70*x^13*d^3*c^2*a^3 + 35*x^13*d^4*b*a^3 + 35/4*x^12*c^4*b^4 + 21*x^12*d*c^2*b^5 + 7/2*x^12*d^2*b^6 + 21*x^12*c^5*b^2*a + 140*x^12*d*c^3*b^3*a + 105*x^12*d^2*c*b^4*a + 7/2*x^12*c^6*a^2 + 105*x^12*d*c^4*b*a^2 + 315*x^12*d^2*c^2*b^2*a^2 + 70*x^12*d^3*b^3*a^2 + 70*x^12*d^2*c^3*a^3 + 140*x^12*d^3*c*b*a^3 + 35/4*x^12*d^4*a^4 + 7*x^11*c^3*b^5 + 7*x^11*d*c*b^6 + 35*x^11*c^4*b^3*a + 105*x^11*d*c^2*b^4*a + 21*x^11*d^2*b^5*a + 21*x^11*c^5*b*a^2 + 210*x^11*d*c^3*b^2*a^2 + 210*x^11*d^2*c*b^3*a^2 + 35*x^11*d*c^4*a^3 + 210*x^11*d^2*c^2*b*a^3 + 70*x^11*d^3*b^2*a^3 + 35*x^11*d^3*c*a^4 + 7/2*x^10*c^2*b^6 + x^10*d*b^7 + 35*x^10*c^3*b^4*a + 42*x^10*d*c*b^5*a + 105/2*x^10*c^4*b^2*a^2 + 210*x^10*d*c^2*b^3*a^2 + 105/2*x^10*d^2*b^4*a^2 + 7*x^10*c^5*a^3 + 140*x^10*d*c^3*b*a^3 + 210*x^10*d^2*c*b^2*a^3 + 105/2*x^10*d^2*c^2*a^4 + 35*x^10*d^3*b*a^4 + x^9*c*b^7 + 21*x^9*c^2*b^5*a + 7*x^9*d*b^6*a + 70*x^9*c^3*b^3*a^2 + 105*x^9*d*c*b^4*a^2 + 35*x^9*c^4*b*a^3 + 210*x^9*d*c^2*b^2*a^3 + 70*x^9*d^2*b^3*a^3 + 35*x^9*d*c^3*a^4 + 105*x^9*d^2*c*b*a^4 + 7*x^9*d^3*a^5 + 1/8*x^8*b^8 + 7*x^8*c*b^6*a + 105/2*x^8*c^2*b^4*a^2 + 21*x^8*d*b^5*a^2 + 70*x^8*c^3*b^2*a^3 + 140*x^8*d*c*b^3*a^3 + 35/4*x^8*c^4*a^4 + 105*x^8*d*c^2*b*a^4 + 105/2*x^8*d^2*b^2*a^4 + 21*x^8*d^2*c*a^5 + x^7*b^7*a + 21*x^7*c*b^5*a^2 + 70*x^7*c^2*b^3*a^3 + 35*x^7*d*b^4*a^3 + 35*x^7*c^3*b*a^4 + 105*x^7*d*c*b^2*a^4 + 21*x^7*d*c^2*a^5 + 21*x^7*d^2*b*a^5 + 7/2*x^6*b^6*a^2 + 35*x^6*c*b^4*a^3 + 105/2*x^6*c^2*b^2*a^4 + 35*x^6*d*b^3*a^4 + 7*x^6*c^3*a^5 + 42*x^6*d*c*b*a^5 + 7/2*x^6*d^2*a^6 + 7*x^5*b^5*a^3 + 35*x^5*c*b^3*a^4 + 21*x^5*c^2*b*a^5 + 21*x^5*d*b^2*a^5 + 7*x^5*d*c*a^6 + 35/4*x^4*b^4*a^4 + 21*x^4*c*b^2*a^5 + 7/2*x^4*c^2*a^6 + 7*x^4*d*b*a^6 + 7*x^3*b^3*a^5 + 7*x^3*c*b*a^6 + x^3*d*a^7 + 7/2*x^2*b^2*a^6 + x^2*c*a^7 + x*b*a^7","B",0
193,1,496,0,0.618264," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + x^{22} d^{7} b + 7 x^{21} d^{5} c^{3} + 7 x^{21} d^{6} c b + \frac{35}{4} x^{20} d^{4} c^{4} + 21 x^{20} d^{5} c^{2} b + \frac{7}{2} x^{20} d^{6} b^{2} + 7 x^{19} d^{3} c^{5} + 35 x^{19} d^{4} c^{3} b + 21 x^{19} d^{5} c b^{2} + \frac{7}{2} x^{18} d^{2} c^{6} + 35 x^{18} d^{3} c^{4} b + \frac{105}{2} x^{18} d^{4} c^{2} b^{2} + 7 x^{18} d^{5} b^{3} + x^{17} d c^{7} + 21 x^{17} d^{2} c^{5} b + 70 x^{17} d^{3} c^{3} b^{2} + 35 x^{17} d^{4} c b^{3} + \frac{1}{8} x^{16} c^{8} + 7 x^{16} d c^{6} b + \frac{105}{2} x^{16} d^{2} c^{4} b^{2} + 70 x^{16} d^{3} c^{2} b^{3} + \frac{35}{4} x^{16} d^{4} b^{4} + x^{15} c^{7} b + 21 x^{15} d c^{5} b^{2} + 70 x^{15} d^{2} c^{3} b^{3} + 35 x^{15} d^{3} c b^{4} + \frac{7}{2} x^{14} c^{6} b^{2} + 35 x^{14} d c^{4} b^{3} + \frac{105}{2} x^{14} d^{2} c^{2} b^{4} + 7 x^{14} d^{3} b^{5} + 7 x^{13} c^{5} b^{3} + 35 x^{13} d c^{3} b^{4} + 21 x^{13} d^{2} c b^{5} + \frac{35}{4} x^{12} c^{4} b^{4} + 21 x^{12} d c^{2} b^{5} + \frac{7}{2} x^{12} d^{2} b^{6} + 7 x^{11} c^{3} b^{5} + 7 x^{11} d c b^{6} + \frac{7}{2} x^{10} c^{2} b^{6} + x^{10} d b^{7} + x^{9} c b^{7} + \frac{1}{8} x^{8} b^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + x^22*d^7*b + 7*x^21*d^5*c^3 + 7*x^21*d^6*c*b + 35/4*x^20*d^4*c^4 + 21*x^20*d^5*c^2*b + 7/2*x^20*d^6*b^2 + 7*x^19*d^3*c^5 + 35*x^19*d^4*c^3*b + 21*x^19*d^5*c*b^2 + 7/2*x^18*d^2*c^6 + 35*x^18*d^3*c^4*b + 105/2*x^18*d^4*c^2*b^2 + 7*x^18*d^5*b^3 + x^17*d*c^7 + 21*x^17*d^2*c^5*b + 70*x^17*d^3*c^3*b^2 + 35*x^17*d^4*c*b^3 + 1/8*x^16*c^8 + 7*x^16*d*c^6*b + 105/2*x^16*d^2*c^4*b^2 + 70*x^16*d^3*c^2*b^3 + 35/4*x^16*d^4*b^4 + x^15*c^7*b + 21*x^15*d*c^5*b^2 + 70*x^15*d^2*c^3*b^3 + 35*x^15*d^3*c*b^4 + 7/2*x^14*c^6*b^2 + 35*x^14*d*c^4*b^3 + 105/2*x^14*d^2*c^2*b^4 + 7*x^14*d^3*b^5 + 7*x^13*c^5*b^3 + 35*x^13*d*c^3*b^4 + 21*x^13*d^2*c*b^5 + 35/4*x^12*c^4*b^4 + 21*x^12*d*c^2*b^5 + 7/2*x^12*d^2*b^6 + 7*x^11*c^3*b^5 + 7*x^11*d*c*b^6 + 7/2*x^10*c^2*b^6 + x^10*d*b^7 + x^9*c*b^7 + 1/8*x^8*b^8","B",0
194,1,496,0,0.801880," ","integrate(x^7*(d*x^2+c*x+b)^7*(3*d*x^2+2*c*x+b),x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + x^{22} d^{7} b + 7 x^{21} d^{5} c^{3} + 7 x^{21} d^{6} c b + \frac{35}{4} x^{20} d^{4} c^{4} + 21 x^{20} d^{5} c^{2} b + \frac{7}{2} x^{20} d^{6} b^{2} + 7 x^{19} d^{3} c^{5} + 35 x^{19} d^{4} c^{3} b + 21 x^{19} d^{5} c b^{2} + \frac{7}{2} x^{18} d^{2} c^{6} + 35 x^{18} d^{3} c^{4} b + \frac{105}{2} x^{18} d^{4} c^{2} b^{2} + 7 x^{18} d^{5} b^{3} + x^{17} d c^{7} + 21 x^{17} d^{2} c^{5} b + 70 x^{17} d^{3} c^{3} b^{2} + 35 x^{17} d^{4} c b^{3} + \frac{1}{8} x^{16} c^{8} + 7 x^{16} d c^{6} b + \frac{105}{2} x^{16} d^{2} c^{4} b^{2} + 70 x^{16} d^{3} c^{2} b^{3} + \frac{35}{4} x^{16} d^{4} b^{4} + x^{15} c^{7} b + 21 x^{15} d c^{5} b^{2} + 70 x^{15} d^{2} c^{3} b^{3} + 35 x^{15} d^{3} c b^{4} + \frac{7}{2} x^{14} c^{6} b^{2} + 35 x^{14} d c^{4} b^{3} + \frac{105}{2} x^{14} d^{2} c^{2} b^{4} + 7 x^{14} d^{3} b^{5} + 7 x^{13} c^{5} b^{3} + 35 x^{13} d c^{3} b^{4} + 21 x^{13} d^{2} c b^{5} + \frac{35}{4} x^{12} c^{4} b^{4} + 21 x^{12} d c^{2} b^{5} + \frac{7}{2} x^{12} d^{2} b^{6} + 7 x^{11} c^{3} b^{5} + 7 x^{11} d c b^{6} + \frac{7}{2} x^{10} c^{2} b^{6} + x^{10} d b^{7} + x^{9} c b^{7} + \frac{1}{8} x^{8} b^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + x^22*d^7*b + 7*x^21*d^5*c^3 + 7*x^21*d^6*c*b + 35/4*x^20*d^4*c^4 + 21*x^20*d^5*c^2*b + 7/2*x^20*d^6*b^2 + 7*x^19*d^3*c^5 + 35*x^19*d^4*c^3*b + 21*x^19*d^5*c*b^2 + 7/2*x^18*d^2*c^6 + 35*x^18*d^3*c^4*b + 105/2*x^18*d^4*c^2*b^2 + 7*x^18*d^5*b^3 + x^17*d*c^7 + 21*x^17*d^2*c^5*b + 70*x^17*d^3*c^3*b^2 + 35*x^17*d^4*c*b^3 + 1/8*x^16*c^8 + 7*x^16*d*c^6*b + 105/2*x^16*d^2*c^4*b^2 + 70*x^16*d^3*c^2*b^3 + 35/4*x^16*d^4*b^4 + x^15*c^7*b + 21*x^15*d*c^5*b^2 + 70*x^15*d^2*c^3*b^3 + 35*x^15*d^3*c*b^4 + 7/2*x^14*c^6*b^2 + 35*x^14*d*c^4*b^3 + 105/2*x^14*d^2*c^2*b^4 + 7*x^14*d^3*b^5 + 7*x^13*c^5*b^3 + 35*x^13*d*c^3*b^4 + 21*x^13*d^2*c*b^5 + 35/4*x^12*c^4*b^4 + 21*x^12*d*c^2*b^5 + 7/2*x^12*d^2*b^6 + 7*x^11*c^3*b^5 + 7*x^11*d*c*b^6 + 7/2*x^10*c^2*b^6 + x^10*d*b^7 + x^9*c*b^7 + 1/8*x^8*b^8","B",0
195,1,486,0,0.943829," ","integrate((3*d*x^2+b)*(d*x^3+b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{22} d^{7} b + x^{21} d^{7} a + \frac{7}{2} x^{20} d^{6} b^{2} + 7 x^{19} d^{6} b a + 7 x^{18} d^{5} b^{3} + \frac{7}{2} x^{18} d^{6} a^{2} + 21 x^{17} d^{5} b^{2} a + \frac{35}{4} x^{16} d^{4} b^{4} + 21 x^{16} d^{5} b a^{2} + 35 x^{15} d^{4} b^{3} a + 7 x^{15} d^{5} a^{3} + 7 x^{14} d^{3} b^{5} + \frac{105}{2} x^{14} d^{4} b^{2} a^{2} + 35 x^{13} d^{3} b^{4} a + 35 x^{13} d^{4} b a^{3} + \frac{7}{2} x^{12} d^{2} b^{6} + 70 x^{12} d^{3} b^{3} a^{2} + \frac{35}{4} x^{12} d^{4} a^{4} + 21 x^{11} d^{2} b^{5} a + 70 x^{11} d^{3} b^{2} a^{3} + x^{10} d b^{7} + \frac{105}{2} x^{10} d^{2} b^{4} a^{2} + 35 x^{10} d^{3} b a^{4} + 7 x^{9} d b^{6} a + 70 x^{9} d^{2} b^{3} a^{3} + 7 x^{9} d^{3} a^{5} + \frac{1}{8} x^{8} b^{8} + 21 x^{8} d b^{5} a^{2} + \frac{105}{2} x^{8} d^{2} b^{2} a^{4} + x^{7} b^{7} a + 35 x^{7} d b^{4} a^{3} + 21 x^{7} d^{2} b a^{5} + \frac{7}{2} x^{6} b^{6} a^{2} + 35 x^{6} d b^{3} a^{4} + \frac{7}{2} x^{6} d^{2} a^{6} + 7 x^{5} b^{5} a^{3} + 21 x^{5} d b^{2} a^{5} + \frac{35}{4} x^{4} b^{4} a^{4} + 7 x^{4} d b a^{6} + 7 x^{3} b^{3} a^{5} + x^{3} d a^{7} + \frac{7}{2} x^{2} b^{2} a^{6} + x b a^{7}"," ",0,"1/8*x^24*d^8 + x^22*d^7*b + x^21*d^7*a + 7/2*x^20*d^6*b^2 + 7*x^19*d^6*b*a + 7*x^18*d^5*b^3 + 7/2*x^18*d^6*a^2 + 21*x^17*d^5*b^2*a + 35/4*x^16*d^4*b^4 + 21*x^16*d^5*b*a^2 + 35*x^15*d^4*b^3*a + 7*x^15*d^5*a^3 + 7*x^14*d^3*b^5 + 105/2*x^14*d^4*b^2*a^2 + 35*x^13*d^3*b^4*a + 35*x^13*d^4*b*a^3 + 7/2*x^12*d^2*b^6 + 70*x^12*d^3*b^3*a^2 + 35/4*x^12*d^4*a^4 + 21*x^11*d^2*b^5*a + 70*x^11*d^3*b^2*a^3 + x^10*d*b^7 + 105/2*x^10*d^2*b^4*a^2 + 35*x^10*d^3*b*a^4 + 7*x^9*d*b^6*a + 70*x^9*d^2*b^3*a^3 + 7*x^9*d^3*a^5 + 1/8*x^8*b^8 + 21*x^8*d*b^5*a^2 + 105/2*x^8*d^2*b^2*a^4 + x^7*b^7*a + 35*x^7*d*b^4*a^3 + 21*x^7*d^2*b*a^5 + 7/2*x^6*b^6*a^2 + 35*x^6*d*b^3*a^4 + 7/2*x^6*d^2*a^6 + 7*x^5*b^5*a^3 + 21*x^5*d*b^2*a^5 + 35/4*x^4*b^4*a^4 + 7*x^4*d*b*a^6 + 7*x^3*b^3*a^5 + x^3*d*a^7 + 7/2*x^2*b^2*a^6 + x*b*a^7","B",0
196,1,88,0,0.712718," ","integrate((3*d*x^2+b)*(d*x^3+b*x)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{22} d^{7} b + \frac{7}{2} x^{20} d^{6} b^{2} + 7 x^{18} d^{5} b^{3} + \frac{35}{4} x^{16} d^{4} b^{4} + 7 x^{14} d^{3} b^{5} + \frac{7}{2} x^{12} d^{2} b^{6} + x^{10} d b^{7} + \frac{1}{8} x^{8} b^{8}"," ",0,"1/8*x^24*d^8 + x^22*d^7*b + 7/2*x^20*d^6*b^2 + 7*x^18*d^5*b^3 + 35/4*x^16*d^4*b^4 + 7*x^14*d^3*b^5 + 7/2*x^12*d^2*b^6 + x^10*d*b^7 + 1/8*x^8*b^8","B",0
197,1,88,0,0.800556," ","integrate(x^7*(d*x^2+b)^7*(3*d*x^2+b),x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{22} d^{7} b + \frac{7}{2} x^{20} d^{6} b^{2} + 7 x^{18} d^{5} b^{3} + \frac{35}{4} x^{16} d^{4} b^{4} + 7 x^{14} d^{3} b^{5} + \frac{7}{2} x^{12} d^{2} b^{6} + x^{10} d b^{7} + \frac{1}{8} x^{8} b^{8}"," ",0,"1/8*x^24*d^8 + x^22*d^7*b + 7/2*x^20*d^6*b^2 + 7*x^18*d^5*b^3 + 35/4*x^16*d^4*b^4 + 7*x^14*d^3*b^5 + 7/2*x^12*d^2*b^6 + x^10*d*b^7 + 1/8*x^8*b^8","B",0
198,1,488,0,0.638722," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2+a)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + x^{21} d^{7} a + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{20} d^{6} c a + 7 x^{19} d^{3} c^{5} + 21 x^{19} d^{5} c^{2} a + \frac{7}{2} x^{18} d^{2} c^{6} + 35 x^{18} d^{4} c^{3} a + \frac{7}{2} x^{18} d^{6} a^{2} + x^{17} d c^{7} + 35 x^{17} d^{3} c^{4} a + 21 x^{17} d^{5} c a^{2} + \frac{1}{8} x^{16} c^{8} + 21 x^{16} d^{2} c^{5} a + \frac{105}{2} x^{16} d^{4} c^{2} a^{2} + 7 x^{15} d c^{6} a + 70 x^{15} d^{3} c^{3} a^{2} + 7 x^{15} d^{5} a^{3} + x^{14} c^{7} a + \frac{105}{2} x^{14} d^{2} c^{4} a^{2} + 35 x^{14} d^{4} c a^{3} + 21 x^{13} d c^{5} a^{2} + 70 x^{13} d^{3} c^{2} a^{3} + \frac{7}{2} x^{12} c^{6} a^{2} + 70 x^{12} d^{2} c^{3} a^{3} + \frac{35}{4} x^{12} d^{4} a^{4} + 35 x^{11} d c^{4} a^{3} + 35 x^{11} d^{3} c a^{4} + 7 x^{10} c^{5} a^{3} + \frac{105}{2} x^{10} d^{2} c^{2} a^{4} + 35 x^{9} d c^{3} a^{4} + 7 x^{9} d^{3} a^{5} + \frac{35}{4} x^{8} c^{4} a^{4} + 21 x^{8} d^{2} c a^{5} + 21 x^{7} d c^{2} a^{5} + 7 x^{6} c^{3} a^{5} + \frac{7}{2} x^{6} d^{2} a^{6} + 7 x^{5} d c a^{6} + \frac{7}{2} x^{4} c^{2} a^{6} + x^{3} d a^{7} + x^{2} c a^{7}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + x^21*d^7*a + 35/4*x^20*d^4*c^4 + 7*x^20*d^6*c*a + 7*x^19*d^3*c^5 + 21*x^19*d^5*c^2*a + 7/2*x^18*d^2*c^6 + 35*x^18*d^4*c^3*a + 7/2*x^18*d^6*a^2 + x^17*d*c^7 + 35*x^17*d^3*c^4*a + 21*x^17*d^5*c*a^2 + 1/8*x^16*c^8 + 21*x^16*d^2*c^5*a + 105/2*x^16*d^4*c^2*a^2 + 7*x^15*d*c^6*a + 70*x^15*d^3*c^3*a^2 + 7*x^15*d^5*a^3 + x^14*c^7*a + 105/2*x^14*d^2*c^4*a^2 + 35*x^14*d^4*c*a^3 + 21*x^13*d*c^5*a^2 + 70*x^13*d^3*c^2*a^3 + 7/2*x^12*c^6*a^2 + 70*x^12*d^2*c^3*a^3 + 35/4*x^12*d^4*a^4 + 35*x^11*d*c^4*a^3 + 35*x^11*d^3*c*a^4 + 7*x^10*c^5*a^3 + 105/2*x^10*d^2*c^2*a^4 + 35*x^9*d*c^3*a^4 + 7*x^9*d^3*a^5 + 35/4*x^8*c^4*a^4 + 21*x^8*d^2*c*a^5 + 21*x^7*d*c^2*a^5 + 7*x^6*c^3*a^5 + 7/2*x^6*d^2*a^6 + 7*x^5*d*c*a^6 + 7/2*x^4*c^2*a^6 + x^3*d*a^7 + x^2*c*a^7","B",0
199,1,88,0,0.946476," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{19} d^{3} c^{5} + \frac{7}{2} x^{18} d^{2} c^{6} + x^{17} d c^{7} + \frac{1}{8} x^{16} c^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + 35/4*x^20*d^4*c^4 + 7*x^19*d^3*c^5 + 7/2*x^18*d^2*c^6 + x^17*d*c^7 + 1/8*x^16*c^8","B",0
200,1,88,0,0.545007," ","integrate(x^7*(d*x^2+c*x)^7*(3*d*x^2+2*c*x),x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{19} d^{3} c^{5} + \frac{7}{2} x^{18} d^{2} c^{6} + x^{17} d c^{7} + \frac{1}{8} x^{16} c^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + 35/4*x^20*d^4*c^4 + 7*x^19*d^3*c^5 + 7/2*x^18*d^2*c^6 + x^17*d*c^7 + 1/8*x^16*c^8","B",0
201,1,88,0,0.730896," ","integrate(x^14*(d*x+c)^7*(3*d*x^2+2*c*x),x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{19} d^{3} c^{5} + \frac{7}{2} x^{18} d^{2} c^{6} + x^{17} d c^{7} + \frac{1}{8} x^{16} c^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + 35/4*x^20*d^4*c^4 + 7*x^19*d^3*c^5 + 7/2*x^18*d^2*c^6 + x^17*d*c^7 + 1/8*x^16*c^8","B",0
202,1,488,0,0.628206," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2+a)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + x^{21} d^{7} a + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{20} d^{6} c a + 7 x^{19} d^{3} c^{5} + 21 x^{19} d^{5} c^{2} a + \frac{7}{2} x^{18} d^{2} c^{6} + 35 x^{18} d^{4} c^{3} a + \frac{7}{2} x^{18} d^{6} a^{2} + x^{17} d c^{7} + 35 x^{17} d^{3} c^{4} a + 21 x^{17} d^{5} c a^{2} + \frac{1}{8} x^{16} c^{8} + 21 x^{16} d^{2} c^{5} a + \frac{105}{2} x^{16} d^{4} c^{2} a^{2} + 7 x^{15} d c^{6} a + 70 x^{15} d^{3} c^{3} a^{2} + 7 x^{15} d^{5} a^{3} + x^{14} c^{7} a + \frac{105}{2} x^{14} d^{2} c^{4} a^{2} + 35 x^{14} d^{4} c a^{3} + 21 x^{13} d c^{5} a^{2} + 70 x^{13} d^{3} c^{2} a^{3} + \frac{7}{2} x^{12} c^{6} a^{2} + 70 x^{12} d^{2} c^{3} a^{3} + \frac{35}{4} x^{12} d^{4} a^{4} + 35 x^{11} d c^{4} a^{3} + 35 x^{11} d^{3} c a^{4} + 7 x^{10} c^{5} a^{3} + \frac{105}{2} x^{10} d^{2} c^{2} a^{4} + 35 x^{9} d c^{3} a^{4} + 7 x^{9} d^{3} a^{5} + \frac{35}{4} x^{8} c^{4} a^{4} + 21 x^{8} d^{2} c a^{5} + 21 x^{7} d c^{2} a^{5} + 7 x^{6} c^{3} a^{5} + \frac{7}{2} x^{6} d^{2} a^{6} + 7 x^{5} d c a^{6} + \frac{7}{2} x^{4} c^{2} a^{6} + x^{3} d a^{7} + x^{2} c a^{7}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + x^21*d^7*a + 35/4*x^20*d^4*c^4 + 7*x^20*d^6*c*a + 7*x^19*d^3*c^5 + 21*x^19*d^5*c^2*a + 7/2*x^18*d^2*c^6 + 35*x^18*d^4*c^3*a + 7/2*x^18*d^6*a^2 + x^17*d*c^7 + 35*x^17*d^3*c^4*a + 21*x^17*d^5*c*a^2 + 1/8*x^16*c^8 + 21*x^16*d^2*c^5*a + 105/2*x^16*d^4*c^2*a^2 + 7*x^15*d*c^6*a + 70*x^15*d^3*c^3*a^2 + 7*x^15*d^5*a^3 + x^14*c^7*a + 105/2*x^14*d^2*c^4*a^2 + 35*x^14*d^4*c*a^3 + 21*x^13*d*c^5*a^2 + 70*x^13*d^3*c^2*a^3 + 7/2*x^12*c^6*a^2 + 70*x^12*d^2*c^3*a^3 + 35/4*x^12*d^4*a^4 + 35*x^11*d*c^4*a^3 + 35*x^11*d^3*c*a^4 + 7*x^10*c^5*a^3 + 105/2*x^10*d^2*c^2*a^4 + 35*x^9*d*c^3*a^4 + 7*x^9*d^3*a^5 + 35/4*x^8*c^4*a^4 + 21*x^8*d^2*c*a^5 + 21*x^7*d*c^2*a^5 + 7*x^6*c^3*a^5 + 7/2*x^6*d^2*a^6 + 7*x^5*d*c*a^6 + 7/2*x^4*c^2*a^6 + x^3*d*a^7 + x^2*c*a^7","B",0
203,1,88,0,1.036945," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{19} d^{3} c^{5} + \frac{7}{2} x^{18} d^{2} c^{6} + x^{17} d c^{7} + \frac{1}{8} x^{16} c^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + 35/4*x^20*d^4*c^4 + 7*x^19*d^3*c^5 + 7/2*x^18*d^2*c^6 + x^17*d*c^7 + 1/8*x^16*c^8","B",0
204,1,88,0,1.011481," ","integrate(x^8*(3*d*x+2*c)*(d*x^2+c*x)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{19} d^{3} c^{5} + \frac{7}{2} x^{18} d^{2} c^{6} + x^{17} d c^{7} + \frac{1}{8} x^{16} c^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + 35/4*x^20*d^4*c^4 + 7*x^19*d^3*c^5 + 7/2*x^18*d^2*c^6 + x^17*d*c^7 + 1/8*x^16*c^8","B",0
205,1,88,0,1.071003," ","integrate(x^15*(d*x+c)^7*(3*d*x+2*c),x, algorithm=""fricas"")","\frac{1}{8} x^{24} d^{8} + x^{23} d^{7} c + \frac{7}{2} x^{22} d^{6} c^{2} + 7 x^{21} d^{5} c^{3} + \frac{35}{4} x^{20} d^{4} c^{4} + 7 x^{19} d^{3} c^{5} + \frac{7}{2} x^{18} d^{2} c^{6} + x^{17} d c^{7} + \frac{1}{8} x^{16} c^{8}"," ",0,"1/8*x^24*d^8 + x^23*d^7*c + 7/2*x^22*d^6*c^2 + 7*x^21*d^5*c^3 + 35/4*x^20*d^4*c^4 + 7*x^19*d^3*c^5 + 7/2*x^18*d^2*c^6 + x^17*d*c^7 + 1/8*x^16*c^8","B",0
206,1,66,0,1.523431," ","integrate((b*x+a)*(1+(a*x+1/2*b*x^2)^4),x, algorithm=""fricas"")","\frac{1}{160} x^{10} b^{5} + \frac{1}{16} x^{9} b^{4} a + \frac{1}{4} x^{8} b^{3} a^{2} + \frac{1}{2} x^{7} b^{2} a^{3} + \frac{1}{2} x^{6} b a^{4} + \frac{1}{5} x^{5} a^{5} + \frac{1}{2} x^{2} b + x a"," ",0,"1/160*x^10*b^5 + 1/16*x^9*b^4*a + 1/4*x^8*b^3*a^2 + 1/2*x^7*b^2*a^3 + 1/2*x^6*b*a^4 + 1/5*x^5*a^5 + 1/2*x^2*b + x*a","B",0
207,1,208,0,0.946133," ","integrate((b*x+a)*(1+(c+a*x+1/2*b*x^2)^4),x, algorithm=""fricas"")","\frac{1}{160} x^{10} b^{5} + \frac{1}{16} x^{9} b^{4} a + \frac{1}{16} x^{8} c b^{4} + \frac{1}{4} x^{8} b^{3} a^{2} + \frac{1}{2} x^{7} c b^{3} a + \frac{1}{2} x^{7} b^{2} a^{3} + \frac{1}{4} x^{6} c^{2} b^{3} + \frac{3}{2} x^{6} c b^{2} a^{2} + \frac{1}{2} x^{6} b a^{4} + \frac{3}{2} x^{5} c^{2} b^{2} a + 2 x^{5} c b a^{3} + \frac{1}{5} x^{5} a^{5} + \frac{1}{2} x^{4} c^{3} b^{2} + 3 x^{4} c^{2} b a^{2} + x^{4} c a^{4} + 2 x^{3} c^{3} b a + 2 x^{3} c^{2} a^{3} + \frac{1}{2} x^{2} c^{4} b + 2 x^{2} c^{3} a^{2} + x c^{4} a + \frac{1}{2} x^{2} b + x a"," ",0,"1/160*x^10*b^5 + 1/16*x^9*b^4*a + 1/16*x^8*c*b^4 + 1/4*x^8*b^3*a^2 + 1/2*x^7*c*b^3*a + 1/2*x^7*b^2*a^3 + 1/4*x^6*c^2*b^3 + 3/2*x^6*c*b^2*a^2 + 1/2*x^6*b*a^4 + 3/2*x^5*c^2*b^2*a + 2*x^5*c*b*a^3 + 1/5*x^5*a^5 + 1/2*x^4*c^3*b^2 + 3*x^4*c^2*b*a^2 + x^4*c*a^4 + 2*x^3*c^3*b*a + 2*x^3*c^2*a^3 + 1/2*x^2*c^4*b + 2*x^2*c^3*a^2 + x*c^4*a + 1/2*x^2*b + x*a","B",0
208,1,48,0,0.632696," ","integrate((b*x+a)*(1+(a*x+1/2*b*x^2)^n),x, algorithm=""fricas"")","\frac{{\left(b n + b\right)} x^{2} + {\left(b x^{2} + 2 \, a x\right)} {\left(\frac{1}{2} \, b x^{2} + a x\right)}^{n} + 2 \, {\left(a n + a\right)} x}{2 \, {\left(n + 1\right)}}"," ",0,"1/2*((b*n + b)*x^2 + (b*x^2 + 2*a*x)*(1/2*b*x^2 + a*x)^n + 2*(a*n + a)*x)/(n + 1)","A",0
209,1,52,0,1.048018," ","integrate((b*x+a)*(1+(c+a*x+1/2*b*x^2)^n),x, algorithm=""fricas"")","\frac{{\left(b n + b\right)} x^{2} + {\left(b x^{2} + 2 \, a x + 2 \, c\right)} {\left(\frac{1}{2} \, b x^{2} + a x + c\right)}^{n} + 2 \, {\left(a n + a\right)} x}{2 \, {\left(n + 1\right)}}"," ",0,"1/2*((b*n + b)*x^2 + (b*x^2 + 2*a*x + 2*c)*(1/2*b*x^2 + a*x + c)^n + 2*(a*n + a)*x)/(n + 1)","A",0
210,1,77,0,0.966951," ","integrate((c*x^2+a)*(1+(a*x+1/3*c*x^3)^5),x, algorithm=""fricas"")","\frac{1}{4374} x^{18} c^{6} + \frac{1}{243} x^{16} c^{5} a + \frac{5}{162} x^{14} c^{4} a^{2} + \frac{10}{81} x^{12} c^{3} a^{3} + \frac{5}{18} x^{10} c^{2} a^{4} + \frac{1}{3} x^{8} c a^{5} + \frac{1}{6} x^{6} a^{6} + \frac{1}{3} x^{3} c + x a"," ",0,"1/4374*x^18*c^6 + 1/243*x^16*c^5*a + 5/162*x^14*c^4*a^2 + 10/81*x^12*c^3*a^3 + 5/18*x^10*c^2*a^4 + 1/3*x^8*c*a^5 + 1/6*x^6*a^6 + 1/3*x^3*c + x*a","B",0
211,1,291,0,0.821600," ","integrate((c*x^2+a)*(1+(d+a*x+1/3*c*x^3)^5),x, algorithm=""fricas"")","\frac{1}{4374} x^{18} c^{6} + \frac{1}{243} x^{16} c^{5} a + \frac{1}{243} x^{15} d c^{5} + \frac{5}{162} x^{14} c^{4} a^{2} + \frac{5}{81} x^{13} d c^{4} a + \frac{5}{162} x^{12} d^{2} c^{4} + \frac{10}{81} x^{12} c^{3} a^{3} + \frac{10}{27} x^{11} d c^{3} a^{2} + \frac{10}{27} x^{10} d^{2} c^{3} a + \frac{5}{18} x^{10} c^{2} a^{4} + \frac{10}{81} x^{9} d^{3} c^{3} + \frac{10}{9} x^{9} d c^{2} a^{3} + \frac{5}{3} x^{8} d^{2} c^{2} a^{2} + \frac{1}{3} x^{8} c a^{5} + \frac{10}{9} x^{7} d^{3} c^{2} a + \frac{5}{3} x^{7} d c a^{4} + \frac{5}{18} x^{6} d^{4} c^{2} + \frac{10}{3} x^{6} d^{2} c a^{3} + \frac{1}{6} x^{6} a^{6} + \frac{10}{3} x^{5} d^{3} c a^{2} + x^{5} d a^{5} + \frac{5}{3} x^{4} d^{4} c a + \frac{5}{2} x^{4} d^{2} a^{4} + \frac{1}{3} x^{3} d^{5} c + \frac{10}{3} x^{3} d^{3} a^{3} + \frac{5}{2} x^{2} d^{4} a^{2} + x d^{5} a + \frac{1}{3} x^{3} c + x a"," ",0,"1/4374*x^18*c^6 + 1/243*x^16*c^5*a + 1/243*x^15*d*c^5 + 5/162*x^14*c^4*a^2 + 5/81*x^13*d*c^4*a + 5/162*x^12*d^2*c^4 + 10/81*x^12*c^3*a^3 + 10/27*x^11*d*c^3*a^2 + 10/27*x^10*d^2*c^3*a + 5/18*x^10*c^2*a^4 + 10/81*x^9*d^3*c^3 + 10/9*x^9*d*c^2*a^3 + 5/3*x^8*d^2*c^2*a^2 + 1/3*x^8*c*a^5 + 10/9*x^7*d^3*c^2*a + 5/3*x^7*d*c*a^4 + 5/18*x^6*d^4*c^2 + 10/3*x^6*d^2*c*a^3 + 1/6*x^6*a^6 + 10/3*x^5*d^3*c*a^2 + x^5*d*a^5 + 5/3*x^4*d^4*c*a + 5/2*x^4*d^2*a^4 + 1/3*x^3*d^5*c + 10/3*x^3*d^3*a^3 + 5/2*x^2*d^4*a^2 + x*d^5*a + 1/3*x^3*c + x*a","B",0
212,1,80,0,0.643677," ","integrate((c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""fricas"")","\frac{1}{4374} x^{18} c^{6} + \frac{1}{486} x^{17} c^{5} b + \frac{5}{648} x^{16} c^{4} b^{2} + \frac{5}{324} x^{15} c^{3} b^{3} + \frac{5}{288} x^{14} c^{2} b^{4} + \frac{1}{96} x^{13} c b^{5} + \frac{1}{384} x^{12} b^{6} + \frac{1}{3} x^{3} c + \frac{1}{2} x^{2} b"," ",0,"1/4374*x^18*c^6 + 1/486*x^17*c^5*b + 5/648*x^16*c^4*b^2 + 5/324*x^15*c^3*b^3 + 5/288*x^14*c^2*b^4 + 1/96*x^13*c*b^5 + 1/384*x^12*b^6 + 1/3*x^3*c + 1/2*x^2*b","B",0
213,1,298,0,0.921767," ","integrate((c*x^2+b*x)*(1+(d+1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""fricas"")","\frac{1}{4374} x^{18} c^{6} + \frac{1}{486} x^{17} c^{5} b + \frac{5}{648} x^{16} c^{4} b^{2} + \frac{1}{243} x^{15} d c^{5} + \frac{5}{324} x^{15} c^{3} b^{3} + \frac{5}{162} x^{14} d c^{4} b + \frac{5}{288} x^{14} c^{2} b^{4} + \frac{5}{54} x^{13} d c^{3} b^{2} + \frac{1}{96} x^{13} c b^{5} + \frac{5}{162} x^{12} d^{2} c^{4} + \frac{5}{36} x^{12} d c^{2} b^{3} + \frac{1}{384} x^{12} b^{6} + \frac{5}{27} x^{11} d^{2} c^{3} b + \frac{5}{48} x^{11} d c b^{4} + \frac{5}{12} x^{10} d^{2} c^{2} b^{2} + \frac{1}{32} x^{10} d b^{5} + \frac{10}{81} x^{9} d^{3} c^{3} + \frac{5}{12} x^{9} d^{2} c b^{3} + \frac{5}{9} x^{8} d^{3} c^{2} b + \frac{5}{32} x^{8} d^{2} b^{4} + \frac{5}{6} x^{7} d^{3} c b^{2} + \frac{5}{18} x^{6} d^{4} c^{2} + \frac{5}{12} x^{6} d^{3} b^{3} + \frac{5}{6} x^{5} d^{4} c b + \frac{5}{8} x^{4} d^{4} b^{2} + \frac{1}{3} x^{3} d^{5} c + \frac{1}{2} x^{2} d^{5} b + \frac{1}{3} x^{3} c + \frac{1}{2} x^{2} b"," ",0,"1/4374*x^18*c^6 + 1/486*x^17*c^5*b + 5/648*x^16*c^4*b^2 + 1/243*x^15*d*c^5 + 5/324*x^15*c^3*b^3 + 5/162*x^14*d*c^4*b + 5/288*x^14*c^2*b^4 + 5/54*x^13*d*c^3*b^2 + 1/96*x^13*c*b^5 + 5/162*x^12*d^2*c^4 + 5/36*x^12*d*c^2*b^3 + 1/384*x^12*b^6 + 5/27*x^11*d^2*c^3*b + 5/48*x^11*d*c*b^4 + 5/12*x^10*d^2*c^2*b^2 + 1/32*x^10*d*b^5 + 10/81*x^9*d^3*c^3 + 5/12*x^9*d^2*c*b^3 + 5/9*x^8*d^3*c^2*b + 5/32*x^8*d^2*b^4 + 5/6*x^7*d^3*c*b^2 + 5/18*x^6*d^4*c^2 + 5/12*x^6*d^3*b^3 + 5/6*x^5*d^4*c*b + 5/8*x^4*d^4*b^2 + 1/3*x^3*d^5*c + 1/2*x^2*d^5*b + 1/3*x^3*c + 1/2*x^2*b","B",0
214,1,309,0,0.934106," ","integrate((c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""fricas"")","\frac{1}{4374} x^{18} c^{6} + \frac{1}{486} x^{17} c^{5} b + \frac{5}{648} x^{16} c^{4} b^{2} + \frac{1}{243} x^{16} c^{5} a + \frac{5}{324} x^{15} c^{3} b^{3} + \frac{5}{162} x^{15} c^{4} b a + \frac{5}{288} x^{14} c^{2} b^{4} + \frac{5}{54} x^{14} c^{3} b^{2} a + \frac{5}{162} x^{14} c^{4} a^{2} + \frac{1}{96} x^{13} c b^{5} + \frac{5}{36} x^{13} c^{2} b^{3} a + \frac{5}{27} x^{13} c^{3} b a^{2} + \frac{1}{384} x^{12} b^{6} + \frac{5}{48} x^{12} c b^{4} a + \frac{5}{12} x^{12} c^{2} b^{2} a^{2} + \frac{10}{81} x^{12} c^{3} a^{3} + \frac{1}{32} x^{11} b^{5} a + \frac{5}{12} x^{11} c b^{3} a^{2} + \frac{5}{9} x^{11} c^{2} b a^{3} + \frac{5}{32} x^{10} b^{4} a^{2} + \frac{5}{6} x^{10} c b^{2} a^{3} + \frac{5}{18} x^{10} c^{2} a^{4} + \frac{5}{12} x^{9} b^{3} a^{3} + \frac{5}{6} x^{9} c b a^{4} + \frac{5}{8} x^{8} b^{2} a^{4} + \frac{1}{3} x^{8} c a^{5} + \frac{1}{2} x^{7} b a^{5} + \frac{1}{6} x^{6} a^{6} + \frac{1}{3} x^{3} c + \frac{1}{2} x^{2} b + x a"," ",0,"1/4374*x^18*c^6 + 1/486*x^17*c^5*b + 5/648*x^16*c^4*b^2 + 1/243*x^16*c^5*a + 5/324*x^15*c^3*b^3 + 5/162*x^15*c^4*b*a + 5/288*x^14*c^2*b^4 + 5/54*x^14*c^3*b^2*a + 5/162*x^14*c^4*a^2 + 1/96*x^13*c*b^5 + 5/36*x^13*c^2*b^3*a + 5/27*x^13*c^3*b*a^2 + 1/384*x^12*b^6 + 5/48*x^12*c*b^4*a + 5/12*x^12*c^2*b^2*a^2 + 10/81*x^12*c^3*a^3 + 1/32*x^11*b^5*a + 5/12*x^11*c*b^3*a^2 + 5/9*x^11*c^2*b*a^3 + 5/32*x^10*b^4*a^2 + 5/6*x^10*c*b^2*a^3 + 5/18*x^10*c^2*a^4 + 5/12*x^9*b^3*a^3 + 5/6*x^9*c*b*a^4 + 5/8*x^8*b^2*a^4 + 1/3*x^8*c*a^5 + 1/2*x^7*b*a^5 + 1/6*x^6*a^6 + 1/3*x^3*c + 1/2*x^2*b + x*a","B",0
215,1,928,0,0.956418," ","integrate((c*x^2+b*x+a)*(1+(d+a*x+1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""fricas"")","\frac{1}{4374} x^{18} c^{6} + \frac{1}{486} x^{17} c^{5} b + \frac{5}{648} x^{16} c^{4} b^{2} + \frac{1}{243} x^{16} c^{5} a + \frac{1}{243} x^{15} d c^{5} + \frac{5}{324} x^{15} c^{3} b^{3} + \frac{5}{162} x^{15} c^{4} b a + \frac{5}{162} x^{14} d c^{4} b + \frac{5}{288} x^{14} c^{2} b^{4} + \frac{5}{54} x^{14} c^{3} b^{2} a + \frac{5}{162} x^{14} c^{4} a^{2} + \frac{5}{54} x^{13} d c^{3} b^{2} + \frac{1}{96} x^{13} c b^{5} + \frac{5}{81} x^{13} d c^{4} a + \frac{5}{36} x^{13} c^{2} b^{3} a + \frac{5}{27} x^{13} c^{3} b a^{2} + \frac{5}{162} x^{12} d^{2} c^{4} + \frac{5}{36} x^{12} d c^{2} b^{3} + \frac{1}{384} x^{12} b^{6} + \frac{10}{27} x^{12} d c^{3} b a + \frac{5}{48} x^{12} c b^{4} a + \frac{5}{12} x^{12} c^{2} b^{2} a^{2} + \frac{10}{81} x^{12} c^{3} a^{3} + \frac{5}{27} x^{11} d^{2} c^{3} b + \frac{5}{48} x^{11} d c b^{4} + \frac{5}{6} x^{11} d c^{2} b^{2} a + \frac{1}{32} x^{11} b^{5} a + \frac{10}{27} x^{11} d c^{3} a^{2} + \frac{5}{12} x^{11} c b^{3} a^{2} + \frac{5}{9} x^{11} c^{2} b a^{3} + \frac{5}{12} x^{10} d^{2} c^{2} b^{2} + \frac{1}{32} x^{10} d b^{5} + \frac{10}{27} x^{10} d^{2} c^{3} a + \frac{5}{6} x^{10} d c b^{3} a + \frac{5}{3} x^{10} d c^{2} b a^{2} + \frac{5}{32} x^{10} b^{4} a^{2} + \frac{5}{6} x^{10} c b^{2} a^{3} + \frac{5}{18} x^{10} c^{2} a^{4} + \frac{10}{81} x^{9} d^{3} c^{3} + \frac{5}{12} x^{9} d^{2} c b^{3} + \frac{5}{3} x^{9} d^{2} c^{2} b a + \frac{5}{16} x^{9} d b^{4} a + \frac{5}{2} x^{9} d c b^{2} a^{2} + \frac{10}{9} x^{9} d c^{2} a^{3} + \frac{5}{12} x^{9} b^{3} a^{3} + \frac{5}{6} x^{9} c b a^{4} + \frac{5}{9} x^{8} d^{3} c^{2} b + \frac{5}{32} x^{8} d^{2} b^{4} + \frac{5}{2} x^{8} d^{2} c b^{2} a + \frac{5}{3} x^{8} d^{2} c^{2} a^{2} + \frac{5}{4} x^{8} d b^{3} a^{2} + \frac{10}{3} x^{8} d c b a^{3} + \frac{5}{8} x^{8} b^{2} a^{4} + \frac{1}{3} x^{8} c a^{5} + \frac{5}{6} x^{7} d^{3} c b^{2} + \frac{10}{9} x^{7} d^{3} c^{2} a + \frac{5}{4} x^{7} d^{2} b^{3} a + 5 x^{7} d^{2} c b a^{2} + \frac{5}{2} x^{7} d b^{2} a^{3} + \frac{5}{3} x^{7} d c a^{4} + \frac{1}{2} x^{7} b a^{5} + \frac{5}{18} x^{6} d^{4} c^{2} + \frac{5}{12} x^{6} d^{3} b^{3} + \frac{10}{3} x^{6} d^{3} c b a + \frac{15}{4} x^{6} d^{2} b^{2} a^{2} + \frac{10}{3} x^{6} d^{2} c a^{3} + \frac{5}{2} x^{6} d b a^{4} + \frac{1}{6} x^{6} a^{6} + \frac{5}{6} x^{5} d^{4} c b + \frac{5}{2} x^{5} d^{3} b^{2} a + \frac{10}{3} x^{5} d^{3} c a^{2} + 5 x^{5} d^{2} b a^{3} + x^{5} d a^{5} + \frac{5}{8} x^{4} d^{4} b^{2} + \frac{5}{3} x^{4} d^{4} c a + 5 x^{4} d^{3} b a^{2} + \frac{5}{2} x^{4} d^{2} a^{4} + \frac{1}{3} x^{3} d^{5} c + \frac{5}{2} x^{3} d^{4} b a + \frac{10}{3} x^{3} d^{3} a^{3} + \frac{1}{2} x^{2} d^{5} b + \frac{5}{2} x^{2} d^{4} a^{2} + x d^{5} a + \frac{1}{3} x^{3} c + \frac{1}{2} x^{2} b + x a"," ",0,"1/4374*x^18*c^6 + 1/486*x^17*c^5*b + 5/648*x^16*c^4*b^2 + 1/243*x^16*c^5*a + 1/243*x^15*d*c^5 + 5/324*x^15*c^3*b^3 + 5/162*x^15*c^4*b*a + 5/162*x^14*d*c^4*b + 5/288*x^14*c^2*b^4 + 5/54*x^14*c^3*b^2*a + 5/162*x^14*c^4*a^2 + 5/54*x^13*d*c^3*b^2 + 1/96*x^13*c*b^5 + 5/81*x^13*d*c^4*a + 5/36*x^13*c^2*b^3*a + 5/27*x^13*c^3*b*a^2 + 5/162*x^12*d^2*c^4 + 5/36*x^12*d*c^2*b^3 + 1/384*x^12*b^6 + 10/27*x^12*d*c^3*b*a + 5/48*x^12*c*b^4*a + 5/12*x^12*c^2*b^2*a^2 + 10/81*x^12*c^3*a^3 + 5/27*x^11*d^2*c^3*b + 5/48*x^11*d*c*b^4 + 5/6*x^11*d*c^2*b^2*a + 1/32*x^11*b^5*a + 10/27*x^11*d*c^3*a^2 + 5/12*x^11*c*b^3*a^2 + 5/9*x^11*c^2*b*a^3 + 5/12*x^10*d^2*c^2*b^2 + 1/32*x^10*d*b^5 + 10/27*x^10*d^2*c^3*a + 5/6*x^10*d*c*b^3*a + 5/3*x^10*d*c^2*b*a^2 + 5/32*x^10*b^4*a^2 + 5/6*x^10*c*b^2*a^3 + 5/18*x^10*c^2*a^4 + 10/81*x^9*d^3*c^3 + 5/12*x^9*d^2*c*b^3 + 5/3*x^9*d^2*c^2*b*a + 5/16*x^9*d*b^4*a + 5/2*x^9*d*c*b^2*a^2 + 10/9*x^9*d*c^2*a^3 + 5/12*x^9*b^3*a^3 + 5/6*x^9*c*b*a^4 + 5/9*x^8*d^3*c^2*b + 5/32*x^8*d^2*b^4 + 5/2*x^8*d^2*c*b^2*a + 5/3*x^8*d^2*c^2*a^2 + 5/4*x^8*d*b^3*a^2 + 10/3*x^8*d*c*b*a^3 + 5/8*x^8*b^2*a^4 + 1/3*x^8*c*a^5 + 5/6*x^7*d^3*c*b^2 + 10/9*x^7*d^3*c^2*a + 5/4*x^7*d^2*b^3*a + 5*x^7*d^2*c*b*a^2 + 5/2*x^7*d*b^2*a^3 + 5/3*x^7*d*c*a^4 + 1/2*x^7*b*a^5 + 5/18*x^6*d^4*c^2 + 5/12*x^6*d^3*b^3 + 10/3*x^6*d^3*c*b*a + 15/4*x^6*d^2*b^2*a^2 + 10/3*x^6*d^2*c*a^3 + 5/2*x^6*d*b*a^4 + 1/6*x^6*a^6 + 5/6*x^5*d^4*c*b + 5/2*x^5*d^3*b^2*a + 10/3*x^5*d^3*c*a^2 + 5*x^5*d^2*b*a^3 + x^5*d*a^5 + 5/8*x^4*d^4*b^2 + 5/3*x^4*d^4*c*a + 5*x^4*d^3*b*a^2 + 5/2*x^4*d^2*a^4 + 1/3*x^3*d^5*c + 5/2*x^3*d^4*b*a + 10/3*x^3*d^3*a^3 + 1/2*x^2*d^5*b + 5/2*x^2*d^4*a^2 + x*d^5*a + 1/3*x^3*c + 1/2*x^2*b + x*a","B",0
216,1,48,0,1.029846," ","integrate((c*x^2+a)*(1+(a*x+1/3*c*x^3)^n),x, algorithm=""fricas"")","\frac{{\left(c n + c\right)} x^{3} + {\left(c x^{3} + 3 \, a x\right)} {\left(\frac{1}{3} \, c x^{3} + a x\right)}^{n} + 3 \, {\left(a n + a\right)} x}{3 \, {\left(n + 1\right)}}"," ",0,"1/3*((c*n + c)*x^3 + (c*x^3 + 3*a*x)*(1/3*c*x^3 + a*x)^n + 3*(a*n + a)*x)/(n + 1)","A",0
217,1,57,0,1.052618," ","integrate((c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^n),x, algorithm=""fricas"")","\frac{2 \, {\left(c n + c\right)} x^{3} + 3 \, {\left(b n + b\right)} x^{2} + {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} {\left(\frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2}\right)}^{n}}{6 \, {\left(n + 1\right)}}"," ",0,"1/6*(2*(c*n + c)*x^3 + 3*(b*n + b)*x^2 + (2*c*x^3 + 3*b*x^2)*(1/3*c*x^3 + 1/2*b*x^2)^n)/(n + 1)","A",0
218,1,72,0,1.161453," ","integrate((c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^n),x, algorithm=""fricas"")","\frac{2 \, {\left(c n + c\right)} x^{3} + 3 \, {\left(b n + b\right)} x^{2} + {\left(2 \, c x^{3} + 3 \, b x^{2} + 6 \, a x\right)} {\left(\frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + a x\right)}^{n} + 6 \, {\left(a n + a\right)} x}{6 \, {\left(n + 1\right)}}"," ",0,"1/6*(2*(c*n + c)*x^3 + 3*(b*n + b)*x^2 + (2*c*x^3 + 3*b*x^2 + 6*a*x)*(1/3*c*x^3 + 1/2*b*x^2 + a*x)^n + 6*(a*n + a)*x)/(n + 1)","A",0
219,1,29,0,0.744189," ","integrate((x^2+4*x-4)*(x^3+6*x^2-12*x+5),x, algorithm=""fricas"")","\frac{1}{6} x^{6} + 2 x^{5} + 2 x^{4} - \frac{67}{3} x^{3} + 34 x^{2} - 20 x"," ",0,"1/6*x^6 + 2*x^5 + 2*x^4 - 67/3*x^3 + 34*x^2 - 20*x","A",0
220,1,17,0,0.935777," ","integrate((x^3+2*x)*(x^4+4*x^2+1),x, algorithm=""fricas"")","\frac{1}{8} x^{8} + x^{6} + \frac{9}{4} x^{4} + x^{2}"," ",0,"1/8*x^8 + x^6 + 9/4*x^4 + x^2","A",0
221,1,86,0,0.727522," ","integrate((1+2*x)*(x^2+x)^3*(-18+7*(x^2+x)^3)^2,x, algorithm=""fricas"")","\frac{49}{10} x^{20} + 49 x^{19} + \frac{441}{2} x^{18} + 588 x^{17} + 1029 x^{16} + \frac{6174}{5} x^{15} + 993 x^{14} + 336 x^{13} - \frac{1071}{2} x^{12} - 1211 x^{11} - \frac{12551}{10} x^{10} - 756 x^{9} - 171 x^{8} + 288 x^{7} + 486 x^{6} + 324 x^{5} + 81 x^{4}"," ",0,"49/10*x^20 + 49*x^19 + 441/2*x^18 + 588*x^17 + 1029*x^16 + 6174/5*x^15 + 993*x^14 + 336*x^13 - 1071/2*x^12 - 1211*x^11 - 12551/10*x^10 - 756*x^9 - 171*x^8 + 288*x^7 + 486*x^6 + 324*x^5 + 81*x^4","B",0
222,1,86,0,0.661816," ","integrate(x^3*(1+x)^3*(1+2*x)*(-18+7*x^3*(1+x)^3)^2,x, algorithm=""fricas"")","\frac{49}{10} x^{20} + 49 x^{19} + \frac{441}{2} x^{18} + 588 x^{17} + 1029 x^{16} + \frac{6174}{5} x^{15} + 993 x^{14} + 336 x^{13} - \frac{1071}{2} x^{12} - 1211 x^{11} - \frac{12551}{10} x^{10} - 756 x^{9} - 171 x^{8} + 288 x^{7} + 486 x^{6} + 324 x^{5} + 81 x^{4}"," ",0,"49/10*x^20 + 49*x^19 + 441/2*x^18 + 588*x^17 + 1029*x^16 + 6174/5*x^15 + 993*x^14 + 336*x^13 - 1071/2*x^12 - 1211*x^11 - 12551/10*x^10 - 756*x^9 - 171*x^8 + 288*x^7 + 486*x^6 + 324*x^5 + 81*x^4","B",0
223,1,57,0,0.836756," ","integrate((-x^2+2)/(x^3-6*x+1)^5,x, algorithm=""fricas"")","\frac{1}{12 \, {\left(x^{12} - 24 \, x^{10} + 4 \, x^{9} + 216 \, x^{8} - 72 \, x^{7} - 858 \, x^{6} + 432 \, x^{5} + 1224 \, x^{4} - 860 \, x^{3} + 216 \, x^{2} - 24 \, x + 1\right)}}"," ",0,"1/12/(x^12 - 24*x^10 + 4*x^9 + 216*x^8 - 72*x^7 - 858*x^6 + 432*x^5 + 1224*x^4 - 860*x^3 + 216*x^2 - 24*x + 1)","B",0
224,1,13,0,1.020102," ","integrate((x^2+2*x)/(x^3+3*x^2+4),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x^{3} + 3 \, x^{2} + 4\right)"," ",0,"1/3*log(x^3 + 3*x^2 + 4)","A",0
225,1,15,0,0.770427," ","integrate((x^3+x+1)/(x^4+2*x^2+4*x),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(x^{4} + 2 \, x^{2} + 4 \, x\right)"," ",0,"1/4*log(x^4 + 2*x^2 + 4*x)","A",0
226,1,23,0,0.996881," ","integrate((-2*b*f*x^3-3*a*f*x^2-b*e*x^2-2*a*e*x-a*d+b*c)/(f*x^3+e*x^2+d*x+c)^2,x, algorithm=""fricas"")","\frac{b x + a}{f x^{3} + e x^{2} + d x + c}"," ",0,"(b*x + a)/(f*x^3 + e*x^2 + d*x + c)","A",0
227,-1,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(a*x^4+b*x^3+c*x^2+b*x+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,1,83,0,1.870178," ","integrate((2*x^3-4*x^2+x+2)/(x^4-x^3+x^2-x+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - 2 \, x^{3} + 7 \, x^{2} + \sqrt{5} {\left(2 \, x^{3} - x^{2} + 2 \, x\right)} - 2 \, x + 2}{x^{4} - x^{3} + x^{2} - x + 1}\right) + \frac{1}{2} \, \log\left(x^{4} - x^{3} + x^{2} - x + 1\right)"," ",0,"1/2*sqrt(5)*log((2*x^4 - 2*x^3 + 7*x^2 + sqrt(5)*(2*x^3 - x^2 + 2*x) - 2*x + 2)/(x^4 - x^3 + x^2 - x + 1)) + 1/2*log(x^4 - x^3 + x^2 - x + 1)","A",0
229,1,38,0,1.165944," ","integrate((x^3+3*x^2+3*x)/(x^4+4*x^3+6*x^2+4*x+1),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} \log\left(x + 1\right) + 1}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}"," ",0,"1/3*(3*(x^3 + 3*x^2 + 3*x + 1)*log(x + 1) + 1)/(x^3 + 3*x^2 + 3*x + 1)","B",0
230,1,46,0,1.103684," ","integrate((x^3-3*x^2+3*x-1)/(x^4+4*x^3+6*x^2+4*x+1),x, algorithm=""fricas"")","\frac{18 \, x^{2} + 3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} \log\left(x + 1\right) + 18 \, x + 8}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}"," ",0,"1/3*(18*x^2 + 3*(x^3 + 3*x^2 + 3*x + 1)*log(x + 1) + 18*x + 8)/(x^3 + 3*x^2 + 3*x + 1)","A",0
231,1,38,0,1.866531," ","integrate((-39*x^8+26*x^6+24*x^5+174*x^4-18*x^2-40*x+9)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","\frac{13 \, x^{5} - 4 \, x^{2} + 3 \, x + 2}{x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9}"," ",0,"(13*x^5 - 4*x^2 + 3*x + 2)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","A",0
232,1,11,0,1.220840," ","integrate((4*x^5-1)/(x^5+x+1)^2,x, algorithm=""fricas"")","-\frac{x}{x^{5} + x + 1}"," ",0,"-x/(x^5 + x + 1)","A",0
233,1,223,0,2.227026," ","integrate((x^2+1)/(-x^6+7*x^4-7*x^2+1)^2,x, algorithm=""fricas"")","-\frac{28 \, x^{5} - 184 \, x^{3} - 2 \, \sqrt{2} {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(\frac{x^{2} - 2 \, \sqrt{2} {\left(x + 1\right)} + 2 \, x + 3}{x^{2} + 2 \, x - 1}\right) - 2 \, \sqrt{2} {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(\frac{x^{2} - 2 \, \sqrt{2} {\left(x - 1\right)} - 2 \, x + 3}{x^{2} - 2 \, x - 1}\right) - 3 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x^{2} + 2 \, x - 1\right) + 3 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x^{2} - 2 \, x - 1\right) - 16 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x + 1\right) + 16 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)} \log\left(x - 1\right) + 124 \, x}{128 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)}}"," ",0,"-1/128*(28*x^5 - 184*x^3 - 2*sqrt(2)*(x^6 - 7*x^4 + 7*x^2 - 1)*log((x^2 - 2*sqrt(2)*(x + 1) + 2*x + 3)/(x^2 + 2*x - 1)) - 2*sqrt(2)*(x^6 - 7*x^4 + 7*x^2 - 1)*log((x^2 - 2*sqrt(2)*(x - 1) - 2*x + 3)/(x^2 - 2*x - 1)) - 3*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x^2 + 2*x - 1) + 3*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x^2 - 2*x - 1) - 16*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x + 1) + 16*(x^6 - 7*x^4 + 7*x^2 - 1)*log(x - 1) + 124*x)/(x^6 - 7*x^4 + 7*x^2 - 1)","B",0
234,1,40,0,2.024098," ","integrate(x^m*(d*x^3+c*x^2+b*x+a)^p*(a*(1+m)+x*(b*(2+m+p)+x*(c*(3+m+2*p)+d*(4+m+3*p)*x))),x, algorithm=""fricas"")","{\left(d x^{4} + c x^{3} + b x^{2} + a x\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p} x^{m}"," ",0,"(d*x^4 + c*x^3 + b*x^2 + a*x)*(d*x^3 + c*x^2 + b*x + a)^p*x^m","A",0
235,1,39,0,1.806306," ","integrate(x^2*(d*x^3+c*x^2+b*x+a)^p*(3*a+b*(4+p)*x+c*(5+2*p)*x^2+d*(6+3*p)*x^3),x, algorithm=""fricas"")","{\left(d x^{6} + c x^{5} + b x^{4} + a x^{3}\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^6 + c*x^5 + b*x^4 + a*x^3)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
236,1,39,0,0.803480," ","integrate(x*(d*x^3+c*x^2+b*x+a)^p*(2*a+b*(3+p)*x+c*(4+2*p)*x^2+d*(5+3*p)*x^3),x, algorithm=""fricas"")","{\left(d x^{5} + c x^{4} + b x^{3} + a x^{2}\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^5 + c*x^4 + b*x^3 + a*x^2)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
237,1,37,0,1.255328," ","integrate((d*x^3+c*x^2+b*x+a)^p*(a+b*(2+p)*x+c*(3+2*p)*x^2+d*(4+3*p)*x^3),x, algorithm=""fricas"")","{\left(d x^{4} + c x^{3} + b x^{2} + a x\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^4 + c*x^3 + b*x^2 + a*x)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
238,1,33,0,0.815973," ","integrate((d*x^3+c*x^2+b*x+a)^p*(b*(1+p)*x+c*(2+2*p)*x^2+d*(3+3*p)*x^3)/x,x, algorithm=""fricas"")","{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
239,1,36,0,1.277259," ","integrate((d*x^3+c*x^2+b*x+a)^p*(-a+b*p*x+c*(1+2*p)*x^2+d*(2+3*p)*x^3)/x^2,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}}{x}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p/x","A",0
240,1,36,0,1.083371," ","integrate((d*x^3+c*x^2+b*x+a)^p*(-2*a+b*(-1+p)*x+2*c*p*x^2+d*(1+3*p)*x^3)/x^3,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}}{x^{2}}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p/x^2","A",0
241,1,36,0,1.501813," ","integrate((d*x^3+c*x^2+b*x+a)^p*(-3*a+b*(-2+p)*x+c*(-1+2*p)*x^2+3*d*p*x^3)/x^4,x, algorithm=""fricas"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}}{x^{3}}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p/x^3","A",0
242,1,79,0,1.340623," ","integrate(x^4*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} + \frac{1}{3} \, x^{3} - \frac{3}{4} \, x^{2} - \frac{1}{72} \, \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) - \frac{10}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{5}{4} \, x - \frac{13}{48} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{1}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/4*x^4 + 1/3*x^3 - 3/4*x^2 - 1/72*sqrt(5)*sqrt(3)*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) - 10/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 5/4*x - 13/48*log(2*x^2 - x + 2) + 1/3*log(x^2 + x + 1)","A",0
243,1,74,0,1.224571," ","integrate(x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} - \frac{5}{36} \, \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) + \frac{8}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{3}{2} \, x - \frac{1}{24} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{2}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/3*x^3 + 1/2*x^2 - 5/36*sqrt(5)*sqrt(3)*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) + 8/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 3/2*x - 1/24*log(2*x^2 - x + 2) + 2/3*log(x^2 + x + 1)","A",0
244,1,67,0,0.827862," ","integrate(x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{18} \, \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + x + \frac{1}{4} \, \log\left(2 \, x^{2} - x + 2\right) - \log\left(x^{2} + x + 1\right)"," ",0,"1/2*x^2 - 1/18*sqrt(5)*sqrt(3)*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + x + 1/4*log(2*x^2 - x + 2) - log(x^2 + x + 1)","A",0
245,1,62,0,1.290391," ","integrate(x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{9} \, \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) - \frac{10}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + x + \frac{1}{6} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{1}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/9*sqrt(5)*sqrt(3)*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) - 10/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + x + 1/6*log(2*x^2 - x + 2) + 1/3*log(x^2 + x + 1)","A",0
246,1,61,0,1.330642," ","integrate((2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{9} \, \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) + \frac{8}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{2}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/9*sqrt(5)*sqrt(3)*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) + 8/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(2*x^2 - x + 2) + 2/3*log(x^2 + x + 1)","A",0
247,1,65,0,1.164233," ","integrate((2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","-\frac{1}{18} \, \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{4} \, \log\left(2 \, x^{2} - x + 2\right) - \log\left(x^{2} + x + 1\right) + \frac{5}{2} \, \log\left(x\right)"," ",0,"-1/18*sqrt(5)*sqrt(3)*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/4*log(2*x^2 - x + 2) - log(x^2 + x + 1) + 5/2*log(x)","A",0
248,1,76,0,1.160227," ","integrate((2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{5} \sqrt{3} x \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) + 80 \, \sqrt{3} x \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 3 \, x \log\left(2 \, x^{2} - x + 2\right) - 24 \, x \log\left(x^{2} + x + 1\right) + 54 \, x \log\left(x\right) + 180}{72 \, x}"," ",0,"-1/72*(10*sqrt(5)*sqrt(3)*x*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) + 80*sqrt(3)*x*arctan(1/3*sqrt(3)*(2*x + 1)) - 3*x*log(2*x^2 - x + 2) - 24*x*log(x^2 + x + 1) + 54*x*log(x) + 180)/x","A",0
249,1,89,0,1.129885," ","integrate((2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{5} \sqrt{3} x^{2} \arctan\left(\frac{1}{15} \, \sqrt{5} \sqrt{3} {\left(4 \, x - 1\right)}\right) - 128 \, \sqrt{3} x^{2} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 39 \, x^{2} \log\left(2 \, x^{2} - x + 2\right) - 96 \, x^{2} \log\left(x^{2} + x + 1\right) + 270 \, x^{2} \log\left(x\right) - 108 \, x + 180}{144 \, x^{2}}"," ",0,"-1/144*(2*sqrt(5)*sqrt(3)*x^2*arctan(1/15*sqrt(5)*sqrt(3)*(4*x - 1)) - 128*sqrt(3)*x^2*arctan(1/3*sqrt(3)*(2*x + 1)) - 39*x^2*log(2*x^2 - x + 2) - 96*x^2*log(x^2 + x + 1) + 270*x^2*log(x) - 108*x + 180)/x^2","A",0
250,1,1202,0,3.804160," ","integrate(x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} - \frac{1}{112} \, {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} \log\left(23324 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{3} - 23765 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} + 7744 \, x + 19470 i \, \sqrt{7} - 33040 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 38950\right) - \frac{1}{112} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} \log\left(-23324 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{3} + \frac{49}{4} \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} {\left(-561 i \, \sqrt{7} + 952 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 869\right)} + \frac{1}{256} \, {\left(53312 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 11781 i \, \sqrt{7} + 19992 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 36681\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 17493 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} + 7744 \, x - 15708 i \, \sqrt{7} + 26656 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 29132\right) + \frac{1}{112} \, {\left(2 \, \sqrt{7} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} + 28 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 28 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 21\right)} \log\left(-\frac{49}{4} \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} {\left(-561 i \, \sqrt{7} + 952 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 869\right)} - \frac{1}{256} \, {\left(53312 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 11781 i \, \sqrt{7} + 19992 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 36681\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 6272 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} + \frac{1}{256} \, {\left({\left(17 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 512 \, \sqrt{7}\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 512 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 73728 \, \sqrt{7}\right)} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} + 15488 \, x - 3762 i \, \sqrt{7} + 6384 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 5946\right) - \frac{1}{112} \, {\left(2 \, \sqrt{7} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} - 28 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 28 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} \log\left(-\frac{49}{4} \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} {\left(-561 i \, \sqrt{7} + 952 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 869\right)} - \frac{1}{256} \, {\left(53312 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 11781 i \, \sqrt{7} + 19992 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 36681\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 6272 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{256} \, {\left({\left(17 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 512 \, \sqrt{7}\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 512 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 73728 \, \sqrt{7}\right)} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} + 15488 \, x - 3762 i \, \sqrt{7} + 6384 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 5946\right) - \frac{5}{2} \, x"," ",0,"1/3*x^3 + 1/2*x^2 - 1/112*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21)*log(23324*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^3 - 23765*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 + 7744*x + 19470*I*sqrt(7) - 33040*sqrt(2101/1568*I*sqrt(7) - 55/32) + 38950) - 1/112*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*log(-23324*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^3 + 49/4*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2*(-561*I*sqrt(7) + 952*sqrt(2101/1568*I*sqrt(7) - 55/32) - 869) + 1/256*(53312*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 11781*I*sqrt(7) + 19992*sqrt(2101/1568*I*sqrt(7) - 55/32) - 36681)*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) + 17493*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 + 7744*x - 15708*I*sqrt(7) + 26656*sqrt(2101/1568*I*sqrt(7) - 55/32) - 29132) + 1/112*(2*sqrt(7)*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2) + 28*sqrt(2101/1568*I*sqrt(7) - 55/32) + 28*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 21)*log(-49/4*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2*(-561*I*sqrt(7) + 952*sqrt(2101/1568*I*sqrt(7) - 55/32) - 869) - 1/256*(53312*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 11781*I*sqrt(7) + 19992*sqrt(2101/1568*I*sqrt(7) - 55/32) - 36681)*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) + 6272*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 + 1/256*((17*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) - 512*sqrt(7))*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 512*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) + 73728*sqrt(7))*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2) + 15488*x - 3762*I*sqrt(7) + 6384*sqrt(2101/1568*I*sqrt(7) - 55/32) - 5946) - 1/112*(2*sqrt(7)*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2) - 28*sqrt(2101/1568*I*sqrt(7) - 55/32) - 28*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*log(-49/4*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2*(-561*I*sqrt(7) + 952*sqrt(2101/1568*I*sqrt(7) - 55/32) - 869) - 1/256*(53312*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 11781*I*sqrt(7) + 19992*sqrt(2101/1568*I*sqrt(7) - 55/32) - 36681)*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) + 6272*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/256*((17*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) - 512*sqrt(7))*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 512*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) + 73728*sqrt(7))*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2) + 15488*x - 3762*I*sqrt(7) + 6384*sqrt(2101/1568*I*sqrt(7) - 55/32) - 5946) - 5/2*x","B",0
251,1,1145,0,4.347234," ","integrate(x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{56} \, {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} \log\left(\frac{49}{4} \, {\left(135 i \, \sqrt{7} + 420 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 1459\right)} {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 10290 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{3} - 25725 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} + \frac{3}{64} \, {\left(3920 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 1575 i \, \sqrt{7} - 4900 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5587\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + 8384 \, x + \frac{6615}{2} i \, \sqrt{7} + 10290 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{13373}{2}\right) + \frac{1}{8} \, {\left(2 \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} + 2 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 2 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 5\right)} \log\left(-\frac{49}{4} \, {\left(135 i \, \sqrt{7} + 420 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 1459\right)} {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} + 24304 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{3}{64} \, {\left(3920 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 1575 i \, \sqrt{7} - 4900 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5587\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{7}{64} \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} {\left({\left(135 i \, \sqrt{7} + 420 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 1459\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} - 17856 i \, \sqrt{7} - 55552 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 67776\right)} + 16768 \, x - 4941 i \, \sqrt{7} - 15372 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 9391\right) - \frac{1}{8} \, {\left(2 \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} - 2 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 2 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5\right)} \log\left(-\frac{49}{4} \, {\left(135 i \, \sqrt{7} + 420 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 1459\right)} {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} + 24304 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{3}{64} \, {\left(3920 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 1575 i \, \sqrt{7} - 4900 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5587\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} - \frac{7}{64} \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} {\left({\left(135 i \, \sqrt{7} + 420 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 1459\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} - 17856 i \, \sqrt{7} - 55552 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 67776\right)} + 16768 \, x - 4941 i \, \sqrt{7} - 15372 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 9391\right) - \frac{1}{56} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} \log\left(10290 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{3} + 1421 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} + 8384 \, x + \frac{3267}{2} i \, \sqrt{7} + 5082 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{13793}{2}\right) + x"," ",0,"1/2*x^2 - 1/56*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35)*log(49/4*(135*I*sqrt(7) + 420*sqrt(-37/392*I*sqrt(7) + 79/56) - 1459)*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 10290*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^3 - 25725*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 + 3/64*(3920*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1575*I*sqrt(7) - 4900*sqrt(-37/392*I*sqrt(7) + 79/56) + 5587)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 8384*x + 6615/2*I*sqrt(7) + 10290*sqrt(-37/392*I*sqrt(7) + 79/56) + 13373/2) + 1/8*(2*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2) + 2*sqrt(37/392*I*sqrt(7) + 79/56) + 2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5)*log(-49/4*(135*I*sqrt(7) + 420*sqrt(-37/392*I*sqrt(7) + 79/56) - 1459)*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 + 24304*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 3/64*(3920*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1575*I*sqrt(7) - 4900*sqrt(-37/392*I*sqrt(7) + 79/56) + 5587)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 7/64*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2)*((135*I*sqrt(7) + 420*sqrt(-37/392*I*sqrt(7) + 79/56) - 1459)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) - 17856*I*sqrt(7) - 55552*sqrt(-37/392*I*sqrt(7) + 79/56) + 67776) + 16768*x - 4941*I*sqrt(7) - 15372*sqrt(-37/392*I*sqrt(7) + 79/56) - 9391) - 1/8*(2*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2) - 2*sqrt(37/392*I*sqrt(7) + 79/56) - 2*sqrt(-37/392*I*sqrt(7) + 79/56) + 5)*log(-49/4*(135*I*sqrt(7) + 420*sqrt(-37/392*I*sqrt(7) + 79/56) - 1459)*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 + 24304*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 3/64*(3920*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1575*I*sqrt(7) - 4900*sqrt(-37/392*I*sqrt(7) + 79/56) + 5587)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) - 7/64*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2)*((135*I*sqrt(7) + 420*sqrt(-37/392*I*sqrt(7) + 79/56) - 1459)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) - 17856*I*sqrt(7) - 55552*sqrt(-37/392*I*sqrt(7) + 79/56) + 67776) + 16768*x - 4941*I*sqrt(7) - 15372*sqrt(-37/392*I*sqrt(7) + 79/56) - 9391) - 1/56*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) + 35)*log(10290*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^3 + 1421*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 + 8384*x + 3267/2*I*sqrt(7) + 5082*sqrt(-37/392*I*sqrt(7) + 79/56) + 13793/2) + x","B",0
252,1,1190,0,3.807651," ","integrate(x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","-\frac{1}{28} \, {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} \log\left(\frac{49}{4} \, {\left(55 i \, \sqrt{7} + 154 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 147\right)} {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 3773 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{3} + 3773 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + \frac{11}{16} \, {\left(196 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 35 i \, \sqrt{7} + 98 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 15\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 304 \, x + \frac{1155}{2} i \, \sqrt{7} + 1617 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1903}{2}\right) + \frac{1}{28} \, {\left(2 \, \sqrt{7} \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} + 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 7 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 7\right)} \log\left(-\frac{49}{4} \, {\left(55 i \, \sqrt{7} + 154 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 147\right)} {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 2744 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{11}{16} \, {\left(196 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 35 i \, \sqrt{7} + 98 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 15\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + \frac{1}{16} \, \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} {\left({\left(11 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 224 \, \sqrt{7}\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 224 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 3456 \, \sqrt{7}\right)} + 608 \, x - 220 i \, \sqrt{7} - 616 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 636\right) - \frac{1}{28} \, {\left(2 \, \sqrt{7} \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} \log\left(-\frac{49}{4} \, {\left(55 i \, \sqrt{7} + 154 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 147\right)} {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 2744 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{11}{16} \, {\left(196 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 35 i \, \sqrt{7} + 98 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 15\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{1}{16} \, \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} {\left({\left(11 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 224 \, \sqrt{7}\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 224 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 3456 \, \sqrt{7}\right)} + 608 \, x - 220 i \, \sqrt{7} - 616 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 636\right) - \frac{1}{28} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} \log\left(3773 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{3} - 1029 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 304 \, x - \frac{715}{2} i \, \sqrt{7} - 1001 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{2871}{2}\right) + x"," ",0,"-1/28*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7)*log(49/4*(55*I*sqrt(7) + 154*sqrt(53/98*I*sqrt(7) - 1/14) + 147)*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 3773*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^3 + 3773*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 11/16*(196*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 35*I*sqrt(7) + 98*sqrt(53/98*I*sqrt(7) - 1/14) + 15)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 304*x + 1155/2*I*sqrt(7) + 1617*sqrt(53/98*I*sqrt(7) - 1/14) + 1903/2) + 1/28*(2*sqrt(7)*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2) + 7*sqrt(53/98*I*sqrt(7) - 1/14) + 7*sqrt(-53/98*I*sqrt(7) - 1/14) + 7)*log(-49/4*(55*I*sqrt(7) + 154*sqrt(53/98*I*sqrt(7) - 1/14) + 147)*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 2744*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 11/16*(196*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 35*I*sqrt(7) + 98*sqrt(53/98*I*sqrt(7) - 1/14) + 15)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 1/16*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2)*((11*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 224*sqrt(7))*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 224*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 3456*sqrt(7)) + 608*x - 220*I*sqrt(7) - 616*sqrt(53/98*I*sqrt(7) - 1/14) + 636) - 1/28*(2*sqrt(7)*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 7*sqrt(-53/98*I*sqrt(7) - 1/14) - 7)*log(-49/4*(55*I*sqrt(7) + 154*sqrt(53/98*I*sqrt(7) - 1/14) + 147)*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 2744*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 11/16*(196*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 35*I*sqrt(7) + 98*sqrt(53/98*I*sqrt(7) - 1/14) + 15)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 1/16*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2)*((11*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 224*sqrt(7))*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 224*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 3456*sqrt(7)) + 608*x - 220*I*sqrt(7) - 616*sqrt(53/98*I*sqrt(7) - 1/14) + 636) - 1/28*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7)*log(3773*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^3 - 1029*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 304*x - 715/2*I*sqrt(7) - 1001*sqrt(53/98*I*sqrt(7) - 1/14) - 2871/2) + x","B",0
253,1,1189,0,5.343284," ","integrate((2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","-\frac{1}{28} \, {\left(2 \, \sqrt{7} \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} \log\left(\frac{49}{4} \, {\left(105 i \, \sqrt{7} + 294 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 253\right)} {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 4900 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + \frac{1}{16} \, {\left(4116 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 735 i \, \sqrt{7} + 2058 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 11\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + \frac{1}{16} \, \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} {\left({\left(21 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 400 \, \sqrt{7}\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 400 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 7040 \, \sqrt{7}\right)} + 608 \, x + 325 i \, \sqrt{7} + 910 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 1247\right) + \frac{1}{28} \, {\left(2 \, \sqrt{7} \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} + 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 7 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 7\right)} \log\left(\frac{49}{4} \, {\left(105 i \, \sqrt{7} + 294 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 253\right)} {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 4900 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + \frac{1}{16} \, {\left(4116 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 735 i \, \sqrt{7} + 2058 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 11\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{1}{16} \, \sqrt{-21 \, {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - 21 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{56} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 21\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} - \frac{5}{2} i \, \sqrt{7} - 7 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{27}{2}} {\left({\left(21 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 400 \, \sqrt{7}\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 400 \, \sqrt{7} {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 7040 \, \sqrt{7}\right)} + 608 \, x + 325 i \, \sqrt{7} + 910 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 1247\right) - \frac{1}{28} \, {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} \log\left(-\frac{49}{4} \, {\left(105 i \, \sqrt{7} + 294 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 253\right)} {\left(\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 7203 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{3} - 7203 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} - \frac{1}{16} \, {\left(4116 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 735 i \, \sqrt{7} + 2058 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + 11\right)} {\left(-5 i \, \sqrt{7} + 14 \, \sqrt{-\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} + 304 \, x - \frac{2205}{2} i \, \sqrt{7} - 3087 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - \frac{3025}{2}\right) - \frac{1}{28} \, {\left(5 i \, \sqrt{7} + 14 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} - 7\right)} \log\left(-7203 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{3} + 2303 \, {\left(-\frac{5}{28} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{1}{4}\right)}^{2} + 304 \, x + \frac{1555}{2} i \, \sqrt{7} + 2177 \, \sqrt{\frac{53}{98} i \, \sqrt{7} - \frac{1}{14}} + \frac{5823}{2}\right)"," ",0,"-1/28*(2*sqrt(7)*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 7*sqrt(-53/98*I*sqrt(7) - 1/14) - 7)*log(49/4*(105*I*sqrt(7) + 294*sqrt(53/98*I*sqrt(7) - 1/14) + 253)*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 4900*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 1/16*(4116*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 735*I*sqrt(7) + 2058*sqrt(53/98*I*sqrt(7) - 1/14) + 11)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 1/16*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2)*((21*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 400*sqrt(7))*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 400*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 7040*sqrt(7)) + 608*x + 325*I*sqrt(7) + 910*sqrt(53/98*I*sqrt(7) - 1/14) - 1247) + 1/28*(2*sqrt(7)*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2) + 7*sqrt(53/98*I*sqrt(7) - 1/14) + 7*sqrt(-53/98*I*sqrt(7) - 1/14) + 7)*log(49/4*(105*I*sqrt(7) + 294*sqrt(53/98*I*sqrt(7) - 1/14) + 253)*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 4900*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 1/16*(4116*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 735*I*sqrt(7) + 2058*sqrt(53/98*I*sqrt(7) - 1/14) + 11)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 1/16*sqrt(-21*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 21*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/56*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) + 21)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) - 5/2*I*sqrt(7) - 7*sqrt(53/98*I*sqrt(7) - 1/14) - 27/2)*((21*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 400*sqrt(7))*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 400*sqrt(7)*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7) + 7040*sqrt(7)) + 608*x + 325*I*sqrt(7) + 910*sqrt(53/98*I*sqrt(7) - 1/14) - 1247) - 1/28*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7)*log(-49/4*(105*I*sqrt(7) + 294*sqrt(53/98*I*sqrt(7) - 1/14) + 253)*(5/28*I*sqrt(7) - 1/2*sqrt(-53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 7203*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^3 - 7203*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 - 1/16*(4116*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 735*I*sqrt(7) + 2058*sqrt(53/98*I*sqrt(7) - 1/14) + 11)*(-5*I*sqrt(7) + 14*sqrt(-53/98*I*sqrt(7) - 1/14) - 7) + 304*x - 2205/2*I*sqrt(7) - 3087*sqrt(53/98*I*sqrt(7) - 1/14) - 3025/2) - 1/28*(5*I*sqrt(7) + 14*sqrt(53/98*I*sqrt(7) - 1/14) - 7)*log(-7203*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^3 + 2303*(-5/28*I*sqrt(7) - 1/2*sqrt(53/98*I*sqrt(7) - 1/14) + 1/4)^2 + 304*x + 1555/2*I*sqrt(7) + 2177*sqrt(53/98*I*sqrt(7) - 1/14) + 5823/2)","B",0
254,1,1143,0,6.124213," ","integrate((2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","-\frac{1}{56} \, {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} \log\left(\frac{49}{4} \, {\left(27 i \, \sqrt{7} + 84 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 1385\right)} {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 2058 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{3} - 5145 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} + \frac{1}{64} \, {\left(2352 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 945 i \, \sqrt{7} - 2940 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 28507\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + 8384 \, x + \frac{1323}{2} i \, \sqrt{7} + 2058 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{16089}{2}\right) + \frac{1}{8} \, {\left(2 \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} + 2 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 2 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 5\right)} \log\left(-\frac{49}{4} \, {\left(27 i \, \sqrt{7} + 84 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 1385\right)} {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 15680 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{64} \, {\left(2352 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 945 i \, \sqrt{7} - 2940 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 28507\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{7}{64} \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} {\left({\left(27 i \, \sqrt{7} + 84 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 1385\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + 11520 i \, \sqrt{7} + 35840 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 35072\right)} + 16768 \, x + 3492 i \, \sqrt{7} + 10864 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5484\right) - \frac{1}{8} \, {\left(2 \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} - 2 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 2 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5\right)} \log\left(-\frac{49}{4} \, {\left(27 i \, \sqrt{7} + 84 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 1385\right)} {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 15680 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{64} \, {\left(2352 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 945 i \, \sqrt{7} - 2940 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 28507\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} - \frac{7}{64} \, \sqrt{-12 \, {\left(\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - 12 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} - \frac{1}{392} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 105\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + \frac{45}{14} i \, \sqrt{7} + 10 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + \frac{11}{2}} {\left({\left(27 i \, \sqrt{7} + 84 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 1385\right)} {\left(-9 i \, \sqrt{7} + 28 \, \sqrt{\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} + 11520 i \, \sqrt{7} + 35840 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - 35072\right)} + 16768 \, x + 3492 i \, \sqrt{7} + 10864 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 5484\right) - \frac{1}{56} \, {\left(9 i \, \sqrt{7} + 28 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} + 35\right)} \log\left(2058 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{3} + 20825 \, {\left(-\frac{9}{56} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{5}{8}\right)}^{2} + 8384 \, x - \frac{8307}{2} i \, \sqrt{7} - 12922 \, \sqrt{-\frac{37}{392} i \, \sqrt{7} + \frac{79}{56}} - \frac{18673}{2}\right) + \frac{5}{2} \, \log\left(x\right)"," ",0,"-1/56*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35)*log(49/4*(27*I*sqrt(7) + 84*sqrt(-37/392*I*sqrt(7) + 79/56) + 1385)*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 2058*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^3 - 5145*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 + 1/64*(2352*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 945*I*sqrt(7) - 2940*sqrt(-37/392*I*sqrt(7) + 79/56) - 28507)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 8384*x + 1323/2*I*sqrt(7) + 2058*sqrt(-37/392*I*sqrt(7) + 79/56) + 16089/2) + 1/8*(2*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2) + 2*sqrt(37/392*I*sqrt(7) + 79/56) + 2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5)*log(-49/4*(27*I*sqrt(7) + 84*sqrt(-37/392*I*sqrt(7) + 79/56) + 1385)*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 15680*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/64*(2352*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 945*I*sqrt(7) - 2940*sqrt(-37/392*I*sqrt(7) + 79/56) - 28507)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 7/64*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2)*((27*I*sqrt(7) + 84*sqrt(-37/392*I*sqrt(7) + 79/56) + 1385)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 11520*I*sqrt(7) + 35840*sqrt(-37/392*I*sqrt(7) + 79/56) - 35072) + 16768*x + 3492*I*sqrt(7) + 10864*sqrt(-37/392*I*sqrt(7) + 79/56) + 5484) - 1/8*(2*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2) - 2*sqrt(37/392*I*sqrt(7) + 79/56) - 2*sqrt(-37/392*I*sqrt(7) + 79/56) + 5)*log(-49/4*(27*I*sqrt(7) + 84*sqrt(-37/392*I*sqrt(7) + 79/56) + 1385)*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 15680*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/64*(2352*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 945*I*sqrt(7) - 2940*sqrt(-37/392*I*sqrt(7) + 79/56) - 28507)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) - 7/64*sqrt(-12*(9/56*I*sqrt(7) - 1/2*sqrt(37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 12*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 - 1/392*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) - 105)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 45/14*I*sqrt(7) + 10*sqrt(-37/392*I*sqrt(7) + 79/56) + 11/2)*((27*I*sqrt(7) + 84*sqrt(-37/392*I*sqrt(7) + 79/56) + 1385)*(-9*I*sqrt(7) + 28*sqrt(37/392*I*sqrt(7) + 79/56) + 35) + 11520*I*sqrt(7) + 35840*sqrt(-37/392*I*sqrt(7) + 79/56) - 35072) + 16768*x + 3492*I*sqrt(7) + 10864*sqrt(-37/392*I*sqrt(7) + 79/56) + 5484) - 1/56*(9*I*sqrt(7) + 28*sqrt(-37/392*I*sqrt(7) + 79/56) + 35)*log(2058*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^3 + 20825*(-9/56*I*sqrt(7) - 1/2*sqrt(-37/392*I*sqrt(7) + 79/56) - 5/8)^2 + 8384*x - 8307/2*I*sqrt(7) - 12922*sqrt(-37/392*I*sqrt(7) + 79/56) - 18673/2) + 5/2*log(x)","B",0
255,1,1245,0,6.701942," ","integrate((2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","-\frac{2 \, x {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} \log\left(91924 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{3} - \frac{49}{4} \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} {\left(-2211 i \, \sqrt{7} + 3752 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 3839\right)} - \frac{1}{256} \, {\left(210112 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 46431 i \, \sqrt{7} + 78792 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 117483\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 68943 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} + 15488 \, x + 61908 i \, \sqrt{7} - 105056 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 123428\right) + 2 \, x {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} \log\left(-91924 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{3} + 98735 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} + 15488 \, x - \frac{146487}{2} i \, \sqrt{7} + 124292 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{285347}{2}\right) + {\left(4 \, \sqrt{7} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} x - x {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - x {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 84 \, x\right)} \log\left(\frac{49}{4} \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} {\left(-2211 i \, \sqrt{7} + 3752 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 3839\right)} + \frac{1}{256} \, {\left(210112 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 46431 i \, \sqrt{7} + 78792 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 117483\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 29792 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} + \frac{1}{256} \, {\left({\left(67 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 2432 \, \sqrt{7}\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 2432 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 147456 \, \sqrt{7}\right)} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} + 30976 \, x + \frac{22671}{2} i \, \sqrt{7} - 19236 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{53979}{2}\right) - {\left(4 \, \sqrt{7} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} x + x {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + x {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 84 \, x\right)} \log\left(\frac{49}{4} \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} {\left(-2211 i \, \sqrt{7} + 3752 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 3839\right)} + \frac{1}{256} \, {\left(210112 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 46431 i \, \sqrt{7} + 78792 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 117483\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 29792 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{256} \, {\left({\left(67 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 2432 \, \sqrt{7}\right)} {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} - 2432 \, \sqrt{7} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} + 147456 \, \sqrt{7}\right)} \sqrt{-336 \, {\left(\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - 336 \, {\left(-\frac{33}{112} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{3}{16}\right)}^{2} - \frac{1}{56} \, {\left(33 i \, \sqrt{7} + 56 \, \sqrt{-\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - 21\right)} {\left(-33 i \, \sqrt{7} + 56 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + 63\right)} + \frac{99}{2} i \, \sqrt{7} - 84 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} - \frac{1859}{2}} + 30976 \, x + \frac{22671}{2} i \, \sqrt{7} - 19236 \, \sqrt{\frac{2101}{1568} i \, \sqrt{7} - \frac{55}{32}} + \frac{53979}{2}\right) + 168 \, x \log\left(x\right) + 560}{224 \, x}"," ",0,"-1/224*(2*x*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*log(91924*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^3 - 49/4*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2*(-2211*I*sqrt(7) + 3752*sqrt(2101/1568*I*sqrt(7) - 55/32) - 3839) - 1/256*(210112*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 46431*I*sqrt(7) + 78792*sqrt(2101/1568*I*sqrt(7) - 55/32) - 117483)*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 68943*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 + 15488*x + 61908*I*sqrt(7) - 105056*sqrt(2101/1568*I*sqrt(7) - 55/32) + 123428) + 2*x*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21)*log(-91924*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^3 + 98735*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 + 15488*x - 146487/2*I*sqrt(7) + 124292*sqrt(2101/1568*I*sqrt(7) - 55/32) - 285347/2) + (4*sqrt(7)*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2)*x - x*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - x*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) - 84*x)*log(49/4*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2*(-2211*I*sqrt(7) + 3752*sqrt(2101/1568*I*sqrt(7) - 55/32) - 3839) + 1/256*(210112*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 46431*I*sqrt(7) + 78792*sqrt(2101/1568*I*sqrt(7) - 55/32) - 117483)*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 29792*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 + 1/256*((67*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) - 2432*sqrt(7))*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 2432*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) + 147456*sqrt(7))*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2) + 30976*x + 22671/2*I*sqrt(7) - 19236*sqrt(2101/1568*I*sqrt(7) - 55/32) + 53979/2) - (4*sqrt(7)*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2)*x + x*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) + x*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) + 84*x)*log(49/4*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2*(-2211*I*sqrt(7) + 3752*sqrt(2101/1568*I*sqrt(7) - 55/32) - 3839) + 1/256*(210112*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 46431*I*sqrt(7) + 78792*sqrt(2101/1568*I*sqrt(7) - 55/32) - 117483)*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 29792*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/256*((67*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) - 2432*sqrt(7))*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21) - 2432*sqrt(7)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) - 21) + 147456*sqrt(7))*sqrt(-336*(33/112*I*sqrt(7) - 1/2*sqrt(2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 336*(-33/112*I*sqrt(7) - 1/2*sqrt(-2101/1568*I*sqrt(7) - 55/32) + 3/16)^2 - 1/56*(33*I*sqrt(7) + 56*sqrt(-2101/1568*I*sqrt(7) - 55/32) - 21)*(-33*I*sqrt(7) + 56*sqrt(2101/1568*I*sqrt(7) - 55/32) + 63) + 99/2*I*sqrt(7) - 84*sqrt(2101/1568*I*sqrt(7) - 55/32) - 1859/2) + 30976*x + 22671/2*I*sqrt(7) - 19236*sqrt(2101/1568*I*sqrt(7) - 55/32) + 53979/2) + 168*x*log(x) + 560)/x","B",0
256,1,1274,0,5.632977," ","integrate((2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""fricas"")","-\frac{14 \, x^{2} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} \log\left(-\frac{49}{4} \, {\left(207711 i \, \sqrt{7} + 369264 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 957269\right)} {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + 9046968 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{3} - 39580485 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - \frac{21}{1024} \, {\left(13785856 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + 16963065 i \, \sqrt{7} + 30156560 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 68488563\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} + 9662336 \, x - \frac{68336919}{4} i \, \sqrt{7} - 30371964 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{257023549}{4}\right) + 14 \, x^{2} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} \log\left(-9046968 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{3} + 41411909 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + 9662336 \, x + \frac{70198191}{4} i \, \sqrt{7} + 31199196 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - \frac{240366533}{4}\right) + 1960 \, x^{2} \log\left(x\right) + {\left(4 \, \sqrt{7} \sqrt{-1344 \, {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - 1344 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - \frac{7}{8} \, {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + 105\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - \frac{2205}{2} i \, \sqrt{7} - 1960 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{1661}{2}} x^{2} - 7 \, x^{2} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 7 \, x^{2} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 980 \, x^{2}\right)} \log\left(\frac{49}{4} \, {\left(207711 i \, \sqrt{7} + 369264 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 957269\right)} {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - 1831424 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + \frac{21}{1024} \, {\left(13785856 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + 16963065 i \, \sqrt{7} + 30156560 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 68488563\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} + \frac{1}{1024} \, \sqrt{-1344 \, {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - 1344 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - \frac{7}{8} \, {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + 105\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - \frac{2205}{2} i \, \sqrt{7} - 1960 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{1661}{2}} {\left(7 \, {\left(23079 \, \sqrt{7} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 149504 \, \sqrt{7}\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 1046528 \, \sqrt{7} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 116260864 \, \sqrt{7}\right)} + 19324672 \, x - 465318 i \, \sqrt{7} - 827232 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + 666914\right) - {\left(4 \, \sqrt{7} \sqrt{-1344 \, {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - 1344 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - \frac{7}{8} \, {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + 105\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - \frac{2205}{2} i \, \sqrt{7} - 1960 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{1661}{2}} x^{2} + 7 \, x^{2} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} + 7 \, x^{2} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} + 980 \, x^{2}\right)} \log\left(\frac{49}{4} \, {\left(207711 i \, \sqrt{7} + 369264 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 957269\right)} {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - 1831424 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + \frac{21}{1024} \, {\left(13785856 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} + 16963065 i \, \sqrt{7} + 30156560 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 68488563\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - \frac{1}{1024} \, \sqrt{-1344 \, {\left(\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - 1344 \, {\left(-\frac{9}{32} i \, \sqrt{7} - \frac{1}{2} \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{35}{32}\right)}^{2} - \frac{7}{8} \, {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + 105\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - \frac{2205}{2} i \, \sqrt{7} - 1960 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + \frac{1661}{2}} {\left(7 \, {\left(23079 \, \sqrt{7} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 149504 \, \sqrt{7}\right)} {\left(-9 i \, \sqrt{7} + 16 \, \sqrt{\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 1046528 \, \sqrt{7} {\left(9 i \, \sqrt{7} + 16 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} - 35\right)} - 116260864 \, \sqrt{7}\right)} + 19324672 \, x - 465318 i \, \sqrt{7} - 827232 \, \sqrt{-\frac{9803}{6272} i \, \sqrt{7} + \frac{2815}{896}} + 666914\right) - 336 \, x + 560}{448 \, x^{2}}"," ",0,"-1/448*(14*x^2*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35)*log(-49/4*(207711*I*sqrt(7) + 369264*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 957269)*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 9046968*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^3 - 39580485*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 21/1024*(13785856*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 16963065*I*sqrt(7) + 30156560*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 68488563)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) + 9662336*x - 68336919/4*I*sqrt(7) - 30371964*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 257023549/4) + 14*x^2*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35)*log(-9046968*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^3 + 41411909*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 9662336*x + 70198191/4*I*sqrt(7) + 31199196*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 240366533/4) + 1960*x^2*log(x) + (4*sqrt(7)*sqrt(-1344*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 1344*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 7/8*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 105)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 2205/2*I*sqrt(7) - 1960*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 1661/2)*x^2 - 7*x^2*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35) - 7*x^2*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 980*x^2)*log(49/4*(207711*I*sqrt(7) + 369264*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 957269)*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 1831424*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 21/1024*(13785856*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 16963065*I*sqrt(7) + 30156560*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 68488563)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) + 1/1024*sqrt(-1344*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 1344*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 7/8*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 105)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 2205/2*I*sqrt(7) - 1960*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 1661/2)*(7*(23079*sqrt(7)*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35) - 149504*sqrt(7))*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 1046528*sqrt(7)*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35) - 116260864*sqrt(7)) + 19324672*x - 465318*I*sqrt(7) - 827232*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 666914) - (4*sqrt(7)*sqrt(-1344*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 1344*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 7/8*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 105)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 2205/2*I*sqrt(7) - 1960*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 1661/2)*x^2 + 7*x^2*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35) + 7*x^2*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) + 980*x^2)*log(49/4*(207711*I*sqrt(7) + 369264*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 957269)*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 1831424*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 21/1024*(13785856*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 + 16963065*I*sqrt(7) + 30156560*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 68488563)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 1/1024*sqrt(-1344*(9/32*I*sqrt(7) - 1/2*sqrt(9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 1344*(-9/32*I*sqrt(7) - 1/2*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 35/32)^2 - 7/8*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 105)*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 2205/2*I*sqrt(7) - 1960*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 1661/2)*(7*(23079*sqrt(7)*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35) - 149504*sqrt(7))*(-9*I*sqrt(7) + 16*sqrt(9803/6272*I*sqrt(7) + 2815/896) - 35) - 1046528*sqrt(7)*(9*I*sqrt(7) + 16*sqrt(-9803/6272*I*sqrt(7) + 2815/896) - 35) - 116260864*sqrt(7)) + 19324672*x - 465318*I*sqrt(7) - 827232*sqrt(-9803/6272*I*sqrt(7) + 2815/896) + 666914) - 336*x + 560)/x^2","B",0
257,1,83,0,2.113476," ","integrate(x^2*(b*x^2+3*a)/(c^2*x^6+b^2*x^4+2*a*b*x^2+a^2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{c x}{b}\right) - \arctan\left(\frac{b c^{2} x^{5} + a b^{2} x + {\left(b^{3} - a c^{2}\right)} x^{3}}{a^{2} c}\right) + \arctan\left(\frac{b c^{2} x^{3} + {\left(b^{3} - a c^{2}\right)} x}{a b c}\right)}{c}"," ",0,"(arctan(c*x/b) - arctan((b*c^2*x^5 + a*b^2*x + (b^3 - a*c^2)*x^3)/(a^2*c)) + arctan((b*c^2*x^3 + (b^3 - a*c^2)*x)/(a*b*c)))/c","B",0
258,1,47,0,0.878390," ","integrate((-3*x^4+1)/(-2+x)/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{46 \, {\left(x^{2} + 1\right)} \arctan\left(x\right) + 14 \, {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 47 \, {\left(x^{2} + 1\right)} \log\left(x - 2\right) - 10 \, x + 5}{25 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/25*(46*(x^2 + 1)*arctan(x) + 14*(x^2 + 1)*log(x^2 + 1) + 47*(x^2 + 1)*log(x - 2) - 10*x + 5)/(x^2 + 1)","A",0
259,1,15,0,1.151725," ","integrate((2*x^2-9*x-9)/(x^3-9*x),x, algorithm=""fricas"")","2 \, \log\left(x + 3\right) - \log\left(x - 3\right) + \log\left(x\right)"," ",0,"2*log(x + 3) - log(x - 3) + log(x)","A",0
260,1,21,0,1.375943," ","integrate((x^5+2*x^2+1)/(x^3-x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + x + \log\left(x + 1\right) + 2 \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"1/3*x^3 + x + log(x + 1) + 2*log(x - 1) - log(x)","A",0
261,1,24,0,1.427315," ","integrate((2*x^2+3)/(-1+x)^2/x,x, algorithm=""fricas"")","-\frac{{\left(x - 1\right)} \log\left(x - 1\right) - 3 \, {\left(x - 1\right)} \log\left(x\right) + 5}{x - 1}"," ",0,"-((x - 1)*log(x - 1) - 3*(x - 1)*log(x) + 5)/(x - 1)","A",0
262,1,21,0,1.515745," ","integrate((2*x^2-1)/(-1+4*x)/(x^2+1),x, algorithm=""fricas"")","\frac{3}{17} \, \arctan\left(x\right) + \frac{6}{17} \, \log\left(x^{2} + 1\right) - \frac{7}{34} \, \log\left(4 \, x - 1\right)"," ",0,"3/17*arctan(x) + 6/17*log(x^2 + 1) - 7/34*log(4*x - 1)","A",0
263,1,17,0,1.489206," ","integrate((x^3-3*x^2+2*x-3)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - 3 \, x + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2 - 3*x + 1/2*log(x^2 + 1)","A",0
264,1,23,0,1.445362," ","integrate((x^4+6*x^3+10*x^2+x)/(x^2+6*x+10),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} - 3 \, \arctan\left(x + 3\right) + \frac{1}{2} \, \log\left(x^{2} + 6 \, x + 10\right)"," ",0,"1/3*x^3 - 3*arctan(x + 3) + 1/2*log(x^2 + 6*x + 10)","A",0
265,1,25,0,1.128105," ","integrate(1/(x^4-3*x^3-7*x^2+27*x-18),x, algorithm=""fricas"")","-\frac{1}{120} \, \log\left(x + 3\right) + \frac{1}{8} \, \log\left(x - 1\right) - \frac{1}{5} \, \log\left(x - 2\right) + \frac{1}{12} \, \log\left(x - 3\right)"," ",0,"-1/120*log(x + 3) + 1/8*log(x - 1) - 1/5*log(x - 2) + 1/12*log(x - 3)","A",0
266,1,18,0,1.014863," ","integrate((x^3+1)/(-2+x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + x^{2} + 4 \, x + 9 \, \log\left(x - 2\right)"," ",0,"1/3*x^3 + x^2 + 4*x + 9*log(x - 2)","A",0
267,1,13,0,0.998144," ","integrate((3*x^3-4*x^2+3*x)/(x^2+1),x, algorithm=""fricas"")","\frac{3}{2} \, x^{2} - 4 \, x + 4 \, \arctan\left(x\right)"," ",0,"3/2*x^2 - 4*x + 4*arctan(x)","A",0
268,1,26,0,1.078214," ","integrate((5+3*x)/(x^3-x^2-x+1),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \log\left(x + 1\right) - {\left(x - 1\right)} \log\left(x - 1\right) - 8}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*((x - 1)*log(x + 1) - (x - 1)*log(x - 1) - 8)/(x - 1)","B",0
269,1,22,0,1.192977," ","integrate((x^4-x^3-x-1)/(x^3-x^2),x, algorithm=""fricas"")","\frac{x^{3} - 4 \, x \log\left(x - 1\right) + 4 \, x \log\left(x\right) - 2}{2 \, x}"," ",0,"1/2*(x^3 - 4*x*log(x - 1) + 4*x*log(x) - 2)/x","A",0
270,1,11,0,1.215599," ","integrate((x^3+x^2+x+2)/(x^4+3*x^2+2),x, algorithm=""fricas"")","\arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 2\right)"," ",0,"arctan(x) + 1/2*log(x^2 + 2)","A",0
271,1,55,0,1.612736," ","integrate((x^5-x^4+4*x^3-4*x^2+8*x-4)/(x^2+2)^3,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{4} + 4 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - {\left(x^{4} + 4 \, x^{2} + 4\right)} \log\left(x^{2} + 2\right) + 2}{2 \, {\left(x^{4} + 4 \, x^{2} + 4\right)}}"," ",0,"-1/2*(sqrt(2)*(x^4 + 4*x^2 + 4)*arctan(1/2*sqrt(2)*x) - (x^4 + 4*x^2 + 4)*log(x^2 + 2) + 2)/(x^4 + 4*x^2 + 4)","A",0
272,1,17,0,2.088329," ","integrate((x^2-3*x-1)/(x^3+x^2-2*x),x, algorithm=""fricas"")","\frac{3}{2} \, \log\left(x + 2\right) - \log\left(x - 1\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"3/2*log(x + 2) - log(x - 1) + 1/2*log(x)","A",0
273,1,19,0,1.489661," ","integrate((x^4-2*x^3+3*x^2-x+3)/(x^3-2*x^2+3*x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, \log\left(x^{2} - 2 \, x + 3\right) + \log\left(x\right)"," ",0,"1/2*x^2 - 1/2*log(x^2 - 2*x + 3) + log(x)","A",0
274,1,32,0,1.160355," ","integrate((x^3+x-1)/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 1\right)} \arctan\left(x\right) - {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) + x}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/2*((x^2 + 1)*arctan(x) - (x^2 + 1)*log(x^2 + 1) + x)/(x^2 + 1)","A",0
275,1,58,0,1.412795," ","integrate((x^4+8*x^3-x^2+2*x+1)/(x^2+x)/(x^3+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + 3 \, {\left(x + 1\right)} \log\left(x^{2} - x + 1\right) - 6 \, {\left(x + 1\right)} \log\left(x + 1\right) + 3 \, {\left(x + 1\right)} \log\left(x\right) - 9}{3 \, {\left(x + 1\right)}}"," ",0,"1/3*(2*sqrt(3)*(x + 1)*arctan(1/3*sqrt(3)*(2*x - 1)) + 3*(x + 1)*log(x^2 - x + 1) - 6*(x + 1)*log(x + 1) + 3*(x + 1)*log(x) - 9)/(x + 1)","A",0
276,1,38,0,1.702120," ","integrate((x^3+x^2-5*x+15)/(x^2+5)/(x^2+2*x+3),x, algorithm=""fricas"")","\frac{5}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)}\right) - \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 3\right)"," ",0,"5/2*sqrt(2)*arctan(1/2*sqrt(2)*(x + 1)) - sqrt(5)*arctan(1/5*sqrt(5)*x) + 1/2*log(x^2 + 2*x + 3)","A",0
277,1,72,0,2.043450," ","integrate((x^6+7*x^5+15*x^4+32*x^3+23*x^2+25*x-3)/(x^2+1)^2/(x^2+x+2)^2,x, algorithm=""fricas"")","-\frac{2 \, x^{2} + {\left(x^{4} + x^{3} + 3 \, x^{2} + x + 2\right)} \log\left(x^{2} + x + 2\right) - {\left(x^{4} + x^{3} + 3 \, x^{2} + x + 2\right)} \log\left(x^{2} + 1\right) + 3 \, x + 5}{x^{4} + x^{3} + 3 \, x^{2} + x + 2}"," ",0,"-(2*x^2 + (x^4 + x^3 + 3*x^2 + x + 2)*log(x^2 + x + 2) - (x^4 + x^3 + 3*x^2 + x + 2)*log(x^2 + 1) + 3*x + 5)/(x^4 + x^3 + 3*x^2 + x + 2)","B",0
278,1,11,0,1.769853," ","integrate(1/(x^2+1)/(x^2+4),x, algorithm=""fricas"")","-\frac{1}{6} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"-1/6*arctan(1/2*x) + 1/3*arctan(x)","A",0
279,1,20,0,1.296167," ","integrate((b*x^3+a)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, b x^{2} + a \arctan\left(x\right) - \frac{1}{2} \, b \log\left(x^{2} + 1\right)"," ",0,"1/2*b*x^2 + a*arctan(x) - 1/2*b*log(x^2 + 1)","A",0
280,1,17,0,1.415291," ","integrate((x^2+x)/(4+x)/(x^2-4),x, algorithm=""fricas"")","\log\left(x + 4\right) - \frac{1}{4} \, \log\left(x + 2\right) + \frac{1}{4} \, \log\left(x - 2\right)"," ",0,"log(x + 4) - 1/4*log(x + 2) + 1/4*log(x - 2)","A",0
281,1,17,0,1.819151," ","integrate((x^2+4)/(x^2+1)/(x^2+2),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 3 \, \arctan\left(x\right)"," ",0,"-sqrt(2)*arctan(1/2*sqrt(2)*x) + 3*arctan(x)","A",0
282,1,44,0,1.389966," ","integrate((x^4+3*x^2-4*x+5)/(-1+x)^2/(x^2+1),x, algorithm=""fricas"")","\frac{4 \, x^{2} + 8 \, {\left(x - 1\right)} \arctan\left(x\right) + 3 \, {\left(x - 1\right)} \log\left(x^{2} + 1\right) + 2 \, {\left(x - 1\right)} \log\left(x - 1\right) - 4 \, x - 10}{4 \, {\left(x - 1\right)}}"," ",0,"1/4*(4*x^2 + 8*(x - 1)*arctan(x) + 3*(x - 1)*log(x^2 + 1) + 2*(x - 1)*log(x - 1) - 4*x - 10)/(x - 1)","A",0
283,1,21,0,1.494411," ","integrate((x^4+1)/(x^2+2),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{5}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 2 \, x"," ",0,"1/3*x^3 + 5/2*sqrt(2)*arctan(1/2*sqrt(2)*x) - 2*x","A",0
284,1,16,0,1.643198," ","integrate((x^4+2*x+2)/(x^5+x^4),x, algorithm=""fricas"")","\frac{3 \, x^{3} \log\left(x + 1\right) - 2}{3 \, x^{3}}"," ",0,"1/3*(3*x^3*log(x + 1) - 2)/x^3","A",0
285,1,17,0,1.418474," ","integrate((2*x^2-5*x-1)/(x^3-2*x^2-x+2),x, algorithm=""fricas"")","\log\left(x + 1\right) + 2 \, \log\left(x - 1\right) - \log\left(x - 2\right)"," ",0,"log(x + 1) + 2*log(x - 1) - log(x - 2)","A",0
286,1,34,0,1.671169," ","integrate((x^3+x+2)/(x^4+2*x^2+1),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{2} + 1\right)} \arctan\left(x\right) + {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 2 \, x}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*(2*(x^2 + 1)*arctan(x) + (x^2 + 1)*log(x^2 + 1) + 2*x)/(x^2 + 1)","A",0
287,1,32,0,1.435832," ","integrate((x^3+x^2+2*x+1)/(x^4+2*x^2+1),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{2} + 1\right)} \arctan\left(x\right) + {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) - 1}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*(2*(x^2 + 1)*arctan(x) + (x^2 + 1)*log(x^2 + 1) - 1)/(x^2 + 1)","A",0
288,1,33,0,1.427378," ","integrate((3+4*x)/(x^2+1)/(x^2+2),x, algorithm=""fricas"")","-\frac{3}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 3 \, \arctan\left(x\right) - 2 \, \log\left(x^{2} + 2\right) + 2 \, \log\left(x^{2} + 1\right)"," ",0,"-3/2*sqrt(2)*arctan(1/2*sqrt(2)*x) + 3*arctan(x) - 2*log(x^2 + 2) + 2*log(x^2 + 1)","A",0
289,1,27,0,1.033274," ","integrate((2+x)/(x^2+1)/(x^2+4),x, algorithm=""fricas"")","-\frac{1}{3} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{2}{3} \, \arctan\left(x\right) - \frac{1}{6} \, \log\left(x^{2} + 4\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"-1/3*arctan(1/2*x) + 2/3*arctan(x) - 1/6*log(x^2 + 4) + 1/6*log(x^2 + 1)","A",0
290,1,21,0,1.190216," ","integrate((x^3-x+2)/(x^2-6*x-7),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + 6 \, x - \frac{1}{4} \, \log\left(x + 1\right) + \frac{169}{4} \, \log\left(x - 7\right)"," ",0,"1/2*x^2 + 6*x - 1/4*log(x + 1) + 169/4*log(x - 7)","A",0
291,1,15,0,1.231598," ","integrate((x^5-1)/(x^2-1),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} + \frac{1}{2} \, x^{2} + \log\left(x + 1\right)"," ",0,"1/4*x^4 + 1/2*x^2 + log(x + 1)","A",0
292,1,34,0,1.526798," ","integrate((x^3-x^2+2*x+5)/(x^2+x+1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + \frac{11}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, x + \frac{3}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/2*x^2 + 11/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*x + 3/2*log(x^2 + x + 1)","A",0
293,1,31,0,1.759439," ","integrate((x^4-2*x^3+x-3)/(2*x^2-8*x+10),x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} + \frac{1}{2} \, x^{2} + \frac{3}{2} \, x - 6 \, \arctan\left(x - 2\right) + \frac{3}{4} \, \log\left(x^{2} - 4 \, x + 5\right)"," ",0,"1/6*x^3 + 1/2*x^2 + 3/2*x - 6*arctan(x - 2) + 3/4*log(x^2 - 4*x + 5)","A",0
294,1,20,0,0.690456," ","integrate((x^3+3*x^2+2*x+1)/(-3+x)/(-2+x)/(-1+x),x, algorithm=""fricas"")","x + \frac{7}{2} \, \log\left(x - 1\right) - 25 \, \log\left(x - 2\right) + \frac{61}{2} \, \log\left(x - 3\right)"," ",0,"x + 7/2*log(x - 1) - 25*log(x - 2) + 61/2*log(x - 3)","A",0
295,1,27,0,1.243307," ","integrate((x^4-x^3+x^2-7*x+2)/(x^3+x^2-14*x-24),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - 2 \, x + 20 \, \log\left(x + 3\right) - \frac{22}{3} \, \log\left(x + 2\right) + \frac{13}{3} \, \log\left(x - 4\right)"," ",0,"1/2*x^2 - 2*x + 20*log(x + 3) - 22/3*log(x + 2) + 13/3*log(x - 4)","A",0
296,1,34,0,1.572615," ","integrate((x^2+2)/(-1+x)^2/x/(1+x),x, algorithm=""fricas"")","-\frac{3 \, {\left(x - 1\right)} \log\left(x + 1\right) + 5 \, {\left(x - 1\right)} \log\left(x - 1\right) - 8 \, {\left(x - 1\right)} \log\left(x\right) + 6}{4 \, {\left(x - 1\right)}}"," ",0,"-1/4*(3*(x - 1)*log(x + 1) + 5*(x - 1)*log(x - 1) - 8*(x - 1)*log(x) + 6)/(x - 1)","A",0
297,1,44,0,0.914886," ","integrate((x^3+x^2+3)/(x^2+2)^2,x, algorithm=""fricas"")","\frac{5 \, \sqrt{2} {\left(x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 4 \, {\left(x^{2} + 2\right)} \log\left(x^{2} + 2\right) + 2 \, x + 8}{8 \, {\left(x^{2} + 2\right)}}"," ",0,"1/8*(5*sqrt(2)*(x^2 + 2)*arctan(1/2*sqrt(2)*x) + 4*(x^2 + 2)*log(x^2 + 2) + 2*x + 8)/(x^2 + 2)","A",0
298,1,37,0,1.424151," ","integrate((2*x^3-4*x^2+70*x-35)/(x^2-10*x+26)/(x^2-2*x+17),x, algorithm=""fricas"")","\frac{15033}{1025} \, \arctan\left(x - 5\right) - \frac{4607}{4100} \, \arctan\left(\frac{1}{4} \, x - \frac{1}{4}\right) + \frac{22}{1025} \, \log\left(x^{2} - 2 \, x + 17\right) + \frac{1003}{1025} \, \log\left(x^{2} - 10 \, x + 26\right)"," ",0,"15033/1025*arctan(x - 5) - 4607/4100*arctan(1/4*x - 1/4) + 22/1025*log(x^2 - 2*x + 17) + 1003/1025*log(x^2 - 10*x + 26)","A",0
299,1,19,0,1.607537," ","integrate((x^2+2)/(-5+x)/(-3+x)/(4+x),x, algorithm=""fricas"")","\frac{2}{7} \, \log\left(x + 4\right) - \frac{11}{14} \, \log\left(x - 3\right) + \frac{3}{2} \, \log\left(x - 5\right)"," ",0,"2/7*log(x + 4) - 11/14*log(x - 3) + 3/2*log(x - 5)","A",0
300,1,33,0,1.557446," ","integrate(x^4/(-1+x)/(x^2+2),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{2}{3} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + x - \frac{2}{3} \, \log\left(x^{2} + 2\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/2*x^2 - 2/3*sqrt(2)*arctan(1/2*sqrt(2)*x) + x - 2/3*log(x^2 + 2) + 1/3*log(x - 1)","A",0
301,1,17,0,0.799716," ","integrate((2*x^2+7*x-1)/(x^3+x^2-x-1),x, algorithm=""fricas"")","\frac{2 \, {\left(x + 1\right)} \log\left(x - 1\right) - 3}{x + 1}"," ",0,"(2*(x + 1)*log(x - 1) - 3)/(x + 1)","A",0
302,1,17,0,1.289003," ","integrate((1+2*x)/(x^3-3*x^2+3*x-1),x, algorithm=""fricas"")","-\frac{4 \, x - 1}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-1/2*(4*x - 1)/(x^2 - 2*x + 1)","A",0
303,1,23,0,1.297834," ","integrate((x^3+7*x^2-5*x+5)/(-1+x)^2/(1+x)^3,x, algorithm=""fricas"")","-\frac{x^{2} + 4 \, x - 1}{x^{3} + x^{2} - x - 1}"," ",0,"-(x^2 + 4*x - 1)/(x^3 + x^2 - x - 1)","A",0
304,1,28,0,1.256882," ","integrate((3*x^2+3*x+1)/(x^3+2*x^2+2*x+1),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \log\left(x^{2} + x + 1\right) + \log\left(x + 1\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + log(x^2 + x + 1) + log(x + 1)","A",0
305,1,19,0,1.070590," ","integrate((x^2+2*x-1)/(2*x^3+3*x^2-2*x),x, algorithm=""fricas"")","\frac{1}{10} \, \log\left(2 \, x - 1\right) - \frac{1}{10} \, \log\left(x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/10*log(2*x - 1) - 1/10*log(x + 2) + 1/2*log(x)","A",0
306,1,36,0,1.137848," ","integrate((x^4-2*x^2+4*x+1)/(x^3-x^2-x+1),x, algorithm=""fricas"")","\frac{x^{3} + x^{2} - 2 \, {\left(x - 1\right)} \log\left(x + 1\right) + 2 \, {\left(x - 1\right)} \log\left(x - 1\right) - 2 \, x - 4}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*(x^3 + x^2 - 2*(x - 1)*log(x + 1) + 2*(x - 1)*log(x - 1) - 2*x - 4)/(x - 1)","A",0
307,1,17,0,1.037291," ","integrate((2*x^2-x+4)/(x^3+4*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right) + \log\left(x\right)"," ",0,"-1/2*arctan(1/2*x) + 1/2*log(x^2 + 4) + log(x)","A",0
308,1,136,0,0.978852," ","integrate((x^3+x^2+1)/(-1+x)/x/(x^2+1)^3/(x^2+x+1),x, algorithm=""fricas"")","\frac{27 \, x^{3} - 16 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 18 \, x^{2} + 21 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right) - 24 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x^{2} + x + 1\right) + 45 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 6 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x - 1\right) - 48 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x\right) + 33 \, x - 12}{48 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/48*(27*x^3 - 16*sqrt(3)*(x^4 + 2*x^2 + 1)*arctan(1/3*sqrt(3)*(2*x + 1)) - 18*x^2 + 21*(x^4 + 2*x^2 + 1)*arctan(x) - 24*(x^4 + 2*x^2 + 1)*log(x^2 + x + 1) + 45*(x^4 + 2*x^2 + 1)*log(x^2 + 1) + 6*(x^4 + 2*x^2 + 1)*log(x - 1) - 48*(x^4 + 2*x^2 + 1)*log(x) + 33*x - 12)/(x^4 + 2*x^2 + 1)","A",0
309,1,36,0,1.682045," ","integrate((-x^3+2*x^2-3*x+1)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{2} + 1\right)} \arctan\left(x\right) - {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) - x + 2}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*(3*(x^2 + 1)*arctan(x) - (x^2 + 1)*log(x^2 + 1) - x + 2)/(x^2 + 1)","A",0
310,1,44,0,1.540636," ","integrate((-x^3+2*x^2-3*x+1)/x/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{2} + 1\right)} \arctan\left(x\right) + {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) - 2 \, {\left(x^{2} + 1\right)} \log\left(x\right) + 2 \, x + 1}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/2*(4*(x^2 + 1)*arctan(x) + (x^2 + 1)*log(x^2 + 1) - 2*(x^2 + 1)*log(x) + 2*x + 1)/(x^2 + 1)","A",0
311,1,19,0,1.277867," ","integrate((x^4+x^3-x^2-x+1)/(x^3-x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + x + \frac{1}{2} \, \log\left(x^{2} - 1\right) - \log\left(x\right)"," ",0,"1/2*x^2 + x + 1/2*log(x^2 - 1) - log(x)","A",0
312,1,31,0,1.585142," ","integrate((x^3-4*x^2+2)/(x^2+1)/(x^2+2),x, algorithm=""fricas"")","-5 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 6 \, \arctan\left(x\right) + \log\left(x^{2} + 2\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-5*sqrt(2)*arctan(1/2*sqrt(2)*x) + 6*arctan(x) + log(x^2 + 2) - 1/2*log(x^2 + 1)","A",0
313,1,33,0,1.057374," ","integrate((x^4+x^2+1)/(x^2+1)/(x^2+4)^2,x, algorithm=""fricas"")","\frac{25 \, {\left(x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, x\right) + 16 \, {\left(x^{2} + 4\right)} \arctan\left(x\right) - 78 \, x}{144 \, {\left(x^{2} + 4\right)}}"," ",0,"1/144*(25*(x^2 + 4)*arctan(1/2*x) + 16*(x^2 + 4)*arctan(x) - 78*x)/(x^2 + 4)","A",0
314,1,39,0,1.519837," ","integrate((x^3+x^2+1)/(x^4+x^3+2*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{7} x \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x + 1\right)}\right) + 35 \, x \log\left(x^{2} + x + 2\right) - 14 \, x \log\left(x\right) - 28}{56 \, x}"," ",0,"1/56*(2*sqrt(7)*x*arctan(1/7*sqrt(7)*(2*x + 1)) + 35*x*log(x^2 + x + 2) - 14*x*log(x) - 28)/x","A",0
315,1,18,0,1.608215," ","integrate((x^3+x^2-12*x+1)/(x^2+x-12),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{7} \, \log\left(x + 4\right) + \frac{1}{7} \, \log\left(x - 3\right)"," ",0,"1/2*x^2 - 1/7*log(x + 4) + 1/7*log(x - 3)","A",0
316,1,15,0,1.265405," ","integrate((6*x^2+5*x-3)/(x^3+2*x^2-3*x),x, algorithm=""fricas"")","3 \, \log\left(x + 3\right) + 2 \, \log\left(x - 1\right) + \log\left(x\right)"," ",0,"3*log(x + 3) + 2*log(x - 1) + log(x)","A",0
317,1,18,0,0.958343," ","integrate((5*x^2+3*x-2)/(x^3+2*x^2),x, algorithm=""fricas"")","\frac{3 \, x \log\left(x + 2\right) + 2 \, x \log\left(x\right) + 1}{x}"," ",0,"(3*x*log(x + 2) + 2*x*log(x) + 1)/x","A",0
318,1,17,0,1.342372," ","integrate((-4*x^2-2*x+18)/(x^3+4*x^2+x-6),x, algorithm=""fricas"")","-3 \, \log\left(x + 3\right) - 2 \, \log\left(x + 2\right) + \log\left(x - 1\right)"," ",0,"-3*log(x + 3) - 2*log(x + 2) + log(x - 1)","A",0
319,1,17,0,1.085632," ","integrate((x^3-2*x^2+x+1)/(x^4+5*x^2+4),x, algorithm=""fricas"")","-\frac{3}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right)"," ",0,"-3/2*arctan(1/2*x) + arctan(x) + 1/2*log(x^2 + 4)","A",0
320,1,50,0,0.902997," ","integrate((4*x^3-27*x^2+5*x-32)/(30*x^5-13*x^4+50*x^3-286*x^2-299*x-70),x, algorithm=""fricas"")","\frac{3988}{260015} \, \sqrt{19} \arctan\left(\frac{1}{19} \, \sqrt{19} {\left(2 \, x + 1\right)}\right) + \frac{11049}{260015} \, \log\left(x^{2} + x + 5\right) + \frac{4822}{4879} \, \log\left(5 \, x + 2\right) - \frac{3146}{80155} \, \log\left(3 \, x - 7\right) - \frac{334}{323} \, \log\left(2 \, x + 1\right)"," ",0,"3988/260015*sqrt(19)*arctan(1/19*sqrt(19)*(2*x + 1)) + 11049/260015*log(x^2 + x + 5) + 4822/4879*log(5*x + 2) - 3146/80155*log(3*x - 7) - 334/323*log(2*x + 1)","A",0
321,1,103,0,1.241539," ","integrate((12*x^5-7*x^3-13*x^2+8)/(100*x^6-80*x^5+116*x^4-80*x^3+41*x^2-20*x+4),x, algorithm=""fricas"")","\frac{12575 \, \sqrt{2} {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)} \arctan\left(\sqrt{2} x\right) - 1203114 \, x^{2} + 142150 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)} \log\left(2 \, x^{2} + 1\right) - 236384 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)} \log\left(5 \, x - 2\right) - 154275 \, x - 84282}{399300 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)}}"," ",0,"1/399300*(12575*sqrt(2)*(10*x^3 - 4*x^2 + 5*x - 2)*arctan(sqrt(2)*x) - 1203114*x^2 + 142150*(10*x^3 - 4*x^2 + 5*x - 2)*log(2*x^2 + 1) - 236384*(10*x^3 - 4*x^2 + 5*x - 2)*log(5*x - 2) - 154275*x - 84282)/(10*x^3 - 4*x^2 + 5*x - 2)","A",0
322,1,19,0,1.624205," ","integrate((x^4+9)/x^2/(x^2+9),x, algorithm=""fricas"")","\frac{3 \, x^{2} - 10 \, x \arctan\left(\frac{1}{3} \, x\right) - 3}{3 \, x}"," ",0,"1/3*(3*x^2 - 10*x*arctan(1/3*x) - 3)/x","A",0
323,1,17,0,0.809457," ","integrate((x^4+2*x)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} - x + \arctan\left(x\right) + \log\left(x^{2} + 1\right)"," ",0,"1/3*x^3 - x + arctan(x) + log(x^2 + 1)","A",0
324,1,7,0,0.971099," ","integrate((x^3-x)/(-1+x)^2/(x^2+1),x, algorithm=""fricas"")","\arctan\left(x\right) + \log\left(x - 1\right)"," ",0,"arctan(x) + log(x - 1)","A",0
325,1,12,0,1.055340," ","integrate((2*x^3+3*x^2+5*x+2)/(x^2+x+1),x, algorithm=""fricas"")","x^{2} + x + \log\left(x^{2} + x + 1\right)"," ",0,"x^2 + x + log(x^2 + x + 1)","A",0
326,1,66,0,1.513253," ","integrate((3*x^3-5*x^2-4*x+3)/x^3/(x^2+x-1),x, algorithm=""fricas"")","\frac{\sqrt{5} x^{2} \log\left(\frac{2 \, x^{2} - \sqrt{5} {\left(2 \, x + 1\right)} + 2 \, x + 3}{x^{2} + x - 1}\right) - 15 \, x^{2} \log\left(x^{2} + x - 1\right) + 30 \, x^{2} \log\left(x\right) - 10 \, x + 15}{10 \, x^{2}}"," ",0,"1/10*(sqrt(5)*x^2*log((2*x^2 - sqrt(5)*(2*x + 1) + 2*x + 3)/(x^2 + x - 1)) - 15*x^2*log(x^2 + x - 1) + 30*x^2*log(x) - 10*x + 15)/x^2","A",0
327,1,46,0,0.994430," ","integrate((2*x^3+5*x^2+8*x+4)/(x^2+2*x+2)^2,x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 2 \, x + 2\right)} \arctan\left(x + 1\right) - {\left(x^{2} + 2 \, x + 2\right)} \log\left(x^{2} + 2 \, x + 2\right) + 1}{x^{2} + 2 \, x + 2}"," ",0,"-((x^2 + 2*x + 2)*arctan(x + 1) - (x^2 + 2*x + 2)*log(x^2 + 2*x + 2) + 1)/(x^2 + 2*x + 2)","A",0
328,1,26,0,0.612597," ","integrate((-1+x)^4*x^4/(x^2+1),x, algorithm=""fricas"")","\frac{1}{7} \, x^{7} - \frac{2}{3} \, x^{6} + x^{5} - \frac{4}{3} \, x^{3} + 4 \, x - 4 \, \arctan\left(x\right)"," ",0,"1/7*x^7 - 2/3*x^6 + x^5 - 4/3*x^3 + 4*x - 4*arctan(x)","A",0
329,1,23,0,1.403293," ","integrate((4*x^2-20*x)/(x^4-10*x^2+9),x, algorithm=""fricas"")","-2 \, \log\left(x + 3\right) + \frac{3}{2} \, \log\left(x + 1\right) + \log\left(x - 1\right) - \frac{1}{2} \, \log\left(x - 3\right)"," ",0,"-2*log(x + 3) + 3/2*log(x + 1) + log(x - 1) - 1/2*log(x - 3)","A",0
330,1,26,0,1.265512," ","integrate((4*x^3+x-1)/(-1+x)/x^2/(x^2+1),x, algorithm=""fricas"")","\frac{x \arctan\left(x\right) - x \log\left(x^{2} + 1\right) + 2 \, x \log\left(x - 1\right) - 1}{x}"," ",0,"(x*arctan(x) - x*log(x^2 + 1) + 2*x*log(x - 1) - 1)/x","A",0
331,1,35,0,1.095432," ","integrate((x^4-4*x^3+2*x^2-3*x+1)/(x^2+1)^3,x, algorithm=""fricas"")","\frac{8 \, x^{2} + 4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right) + 7}{4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/4*(8*x^2 + 4*(x^4 + 2*x^2 + 1)*arctan(x) + 7)/(x^4 + 2*x^2 + 1)","A",0
332,1,35,0,1.876575," ","integrate((x^4-4*x^3+2*x^2-3*x+1)/(x^6+3*x^4+3*x^2+1),x, algorithm=""fricas"")","\frac{8 \, x^{2} + 4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right) + 7}{4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/4*(8*x^2 + 4*(x^4 + 2*x^2 + 1)*arctan(x) + 7)/(x^4 + 2*x^2 + 1)","A",0
333,1,15,0,2.056848," ","integrate((2*x^3+2*x^2+x+1)/(x^4+x^3+x^2),x, algorithm=""fricas"")","\frac{x \log\left(x^{2} + x + 1\right) - 1}{x}"," ",0,"(x*log(x^2 + x + 1) - 1)/x","A",0
334,1,4545,0,5.143542," ","integrate(x^2*(d*x+c)^2/(b*x^3+a),x, algorithm=""fricas"")","\frac{6 \, d^{2} x^{2} + 24 \, c d x - 2 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b \log\left(\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} + 3 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} + 5 \, b c^{4} + 4 \, a c d^{3} + {\left(8 \, b c^{3} d + a d^{4}\right)} x\right) + {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b + 6 \, c^{2} + 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} + 4 \, b c^{4} + 32 \, a c d^{3}}{b^{3}}}\right)} \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} - 3 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} - 5 \, b c^{4} - 4 \, a c d^{3} + 2 \, {\left(8 \, b c^{3} d + a d^{4}\right)} x + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{3} - 6 \, b^{2} c^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} + 4 \, b c^{4} + 32 \, a c d^{3}}{b^{3}}}\right) + {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b + 6 \, c^{2} - 3 \, \sqrt{\frac{1}{3}} b \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} + 4 \, b c^{4} + 32 \, a c d^{3}}{b^{3}}}\right)} \log\left(-\frac{1}{4} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} - 3 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} - 5 \, b c^{4} - 4 \, a c d^{3} + 2 \, {\left(8 \, b c^{3} d + a d^{4}\right)} x - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left({\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{3} - 6 \, b^{2} c^{2}\right)} \sqrt{-\frac{{\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)}^{2} b^{3} + 4 \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{b^{2}} - \frac{b c^{4} + 2 \, a c d^{3}}{b^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{b^{3}} + \frac{{\left(8 \, b c^{3} + a d^{3}\right)} a d^{3}}{b^{5}} - \frac{3 \, {\left(b c^{4} + 2 \, a c d^{3}\right)} c^{2}}{b^{4}} + \frac{b^{2} c^{6} - 2 \, a b c^{3} d^{3} + a^{2} d^{6}}{b^{5}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b}\right)} b^{2} c^{2} + 4 \, b c^{4} + 32 \, a c d^{3}}{b^{3}}}\right)}{12 \, b}"," ",0,"1/12*(6*d^2*x^2 + 24*c*d*x - 2*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b*log(1/4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 + 3*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 + 5*b*c^4 + 4*a*c*d^3 + (8*b*c^3*d + a*d^4)*x) + ((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b + 6*c^2 + 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 + 4*b*c^4 + 32*a*c*d^3)/b^3))*log(-1/4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 - 3*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 - 5*b*c^4 - 4*a*c*d^3 + 2*(8*b*c^3*d + a*d^4)*x + 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^3 - 6*b^2*c^2)*sqrt(-((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 + 4*b*c^4 + 32*a*c*d^3)/b^3)) + ((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b + 6*c^2 - 3*sqrt(1/3)*b*sqrt(-((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 + 4*b*c^4 + 32*a*c*d^3)/b^3))*log(-1/4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 - 3*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 - 5*b*c^4 - 4*a*c*d^3 + 2*(8*b*c^3*d + a*d^4)*x - 3/4*sqrt(1/3)*((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^3 - 6*b^2*c^2)*sqrt(-((2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)^2*b^3 + 4*(2*(1/2)^(2/3)*(c^4/b^2 - (b*c^4 + 2*a*c*d^3)/b^3)*(-I*sqrt(3) + 1)/(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3) + (1/2)^(1/3)*(2*c^6/b^3 + (8*b*c^3 + a*d^3)*a*d^3/b^5 - 3*(b*c^4 + 2*a*c*d^3)*c^2/b^4 + (b^2*c^6 - 2*a*b*c^3*d^3 + a^2*d^6)/b^5)^(1/3)*(I*sqrt(3) + 1) - 2*c^2/b)*b^2*c^2 + 4*b*c^4 + 32*a*c*d^3)/b^3)))/b","C",0
335,1,47,0,1.121370," ","integrate((4*x^5+2*x^3-x)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{9 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) - 14 \, x^{2} + 10}{16 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/16*(9*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) - 14*x^2 + 10)/(x^4 + 2*x^2 + 3)","A",0
336,1,75,0,0.891595," ","integrate((x^5+x)/(2*x^4+2*x^2+1)^3,x, algorithm=""fricas"")","\frac{32 \, x^{6} + 48 \, x^{4} + 36 \, x^{2} + 16 \, {\left(4 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} + 4 \, x^{2} + 1\right)} \arctan\left(2 \, x^{2} + 1\right) + 11}{16 \, {\left(4 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} + 4 \, x^{2} + 1\right)}}"," ",0,"1/16*(32*x^6 + 48*x^4 + 36*x^2 + 16*(4*x^8 + 8*x^6 + 8*x^4 + 4*x^2 + 1)*arctan(2*x^2 + 1) + 11)/(4*x^8 + 8*x^6 + 8*x^4 + 4*x^2 + 1)","A",0
337,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(f*x^4+e*x^2+d),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,-1,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,1,65,0,1.195767," ","integrate(x^2/(b*x+a)/(d*x+c),x, algorithm=""fricas"")","\frac{a^{2} d^{2} \log\left(b x + a\right) - b^{2} c^{2} \log\left(d x + c\right) + {\left(b^{2} c d - a b d^{2}\right)} x}{b^{3} c d^{2} - a b^{2} d^{3}}"," ",0,"(a^2*d^2*log(b*x + a) - b^2*c^2*log(d*x + c) + (b^2*c*d - a*b*d^2)*x)/(b^3*c*d^2 - a*b^2*d^3)","A",0
340,1,162,0,1.230790," ","integrate(x^2/(d*x+c)/(b*x^2+a),x, algorithm=""fricas"")","\left[\frac{b c d \sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) + a d^{2} \log\left(b x^{2} + a\right) + 2 \, b c^{2} \log\left(d x + c\right)}{2 \, {\left(b^{2} c^{2} d + a b d^{3}\right)}}, -\frac{2 \, b c d \sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) - a d^{2} \log\left(b x^{2} + a\right) - 2 \, b c^{2} \log\left(d x + c\right)}{2 \, {\left(b^{2} c^{2} d + a b d^{3}\right)}}\right]"," ",0,"[1/2*(b*c*d*sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) + a*d^2*log(b*x^2 + a) + 2*b*c^2*log(d*x + c))/(b^2*c^2*d + a*b*d^3), -1/2*(2*b*c*d*sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) - a*d^2*log(b*x^2 + a) - 2*b*c^2*log(d*x + c))/(b^2*c^2*d + a*b*d^3)]","A",0
341,1,5975,0,4.867731," ","integrate(x^2/(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","-\frac{2 \, {\left(b c^{3} - a d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} \log\left(-\frac{3}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} b c^{2} - \frac{1}{4} \, {\left(b^{2} c^{3} - a b d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} + d x - 2 \, c\right) + 12 \, c^{2} \log\left(d x + c\right) - {\left({\left(b c^{3} - a d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} + 6 \, c^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(b c^{3} - a d^{3}\right)} \sqrt{-\frac{4 \, b c^{4} - 16 \, a c d^{3} + {\left(b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} + 4 \, {\left(b^{2} c^{5} - a b c^{2} d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}}{b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}}}\right)} \log\left(\frac{3}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} b c^{2} + \frac{1}{4} \, {\left(b^{2} c^{3} - a b d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} + \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(b^{2} c^{3} - a b d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} \sqrt{-\frac{4 \, b c^{4} - 16 \, a c d^{3} + {\left(b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} + 4 \, {\left(b^{2} c^{5} - a b c^{2} d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}}{b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}}} + 2 \, d x + 2 \, c\right) - {\left({\left(b c^{3} - a d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} + 6 \, c^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(b c^{3} - a d^{3}\right)} \sqrt{-\frac{4 \, b c^{4} - 16 \, a c d^{3} + {\left(b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} + 4 \, {\left(b^{2} c^{5} - a b c^{2} d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}}{b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}}}\right)} \log\left(\frac{3}{2} \, {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} b c^{2} + \frac{1}{4} \, {\left(b^{2} c^{3} - a b d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} - \frac{3}{4} \, \sqrt{\frac{1}{3}} {\left(b^{2} c^{3} - a b d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)} \sqrt{-\frac{4 \, b c^{4} - 16 \, a c d^{3} + {\left(b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}^{2} + 4 \, {\left(b^{2} c^{5} - a b c^{2} d^{3}\right)} {\left(\frac{2 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(\frac{c^{4}}{{\left(b c^{3} - a d^{3}\right)}^{2}} - \frac{c}{b^{2} c^{3} - a b d^{3}}\right)} {\left(-i \, \sqrt{3} + 1\right)}}{{\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}}} + \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(\frac{2 \, c^{6}}{{\left(b c^{3} - a d^{3}\right)}^{3}} - \frac{3 \, c^{3}}{{\left(b^{2} c^{3} - a b d^{3}\right)} {\left(b c^{3} - a d^{3}\right)}} + \frac{a d^{3}}{{\left(b c^{3} - a d^{3}\right)}^{2} b^{2}} + \frac{1}{b^{3} c^{3} - a b^{2} d^{3}}\right)}^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - \frac{2 \, c^{2}}{b c^{3} - a d^{3}}\right)}}{b^{3} c^{6} - 2 \, a b^{2} c^{3} d^{3} + a^{2} b d^{6}}} + 2 \, d x + 2 \, c\right)}{12 \, {\left(b c^{3} - a d^{3}\right)}}"," ",0,"-1/12*(2*(b*c^3 - a*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))*log(-3/2*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))*b*c^2 - 1/4*(b^2*c^3 - a*b*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 + d*x - 2*c) + 12*c^2*log(d*x + c) - ((b*c^3 - a*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3)) + 6*c^2 - 3*sqrt(1/3)*(b*c^3 - a*d^3)*sqrt(-(4*b*c^4 - 16*a*c*d^3 + (b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 + 4*(b^2*c^5 - a*b*c^2*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3)))/(b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)))*log(3/2*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))*b*c^2 + 1/4*(b^2*c^3 - a*b*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 + 3/4*sqrt(1/3)*(b^2*c^3 - a*b*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))*sqrt(-(4*b*c^4 - 16*a*c*d^3 + (b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 + 4*(b^2*c^5 - a*b*c^2*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3)))/(b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)) + 2*d*x + 2*c) - ((b*c^3 - a*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3)) + 6*c^2 + 3*sqrt(1/3)*(b*c^3 - a*d^3)*sqrt(-(4*b*c^4 - 16*a*c*d^3 + (b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 + 4*(b^2*c^5 - a*b*c^2*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3)))/(b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)))*log(3/2*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))*b*c^2 + 1/4*(b^2*c^3 - a*b*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 - 3/4*sqrt(1/3)*(b^2*c^3 - a*b*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))*sqrt(-(4*b*c^4 - 16*a*c*d^3 + (b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3))^2 + 4*(b^2*c^5 - a*b*c^2*d^3)*(2*(1/2)^(2/3)*(c^4/(b*c^3 - a*d^3)^2 - c/(b^2*c^3 - a*b*d^3))*(-I*sqrt(3) + 1)/(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3) + (1/2)^(1/3)*(2*c^6/(b*c^3 - a*d^3)^3 - 3*c^3/((b^2*c^3 - a*b*d^3)*(b*c^3 - a*d^3)) + a*d^3/((b*c^3 - a*d^3)^2*b^2) + 1/(b^3*c^3 - a*b^2*d^3))^(1/3)*(I*sqrt(3) + 1) - 2*c^2/(b*c^3 - a*d^3)))/(b^3*c^6 - 2*a*b^2*c^3*d^3 + a^2*b*d^6)) + 2*d*x + 2*c))/(b*c^3 - a*d^3)","C",0
342,-1,0,0,0.000000," ","integrate(x^2/(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,1,26,0,1.298058," ","integrate(x/(1-x)/(1+x)^2,x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} \log\left(x + 1\right) - {\left(x + 1\right)} \log\left(x - 1\right) + 2}{4 \, {\left(x + 1\right)}}"," ",0,"1/4*((x + 1)*log(x + 1) - (x + 1)*log(x - 1) + 2)/(x + 1)","B",0
344,1,34,0,0.651656," ","integrate(x^2/(-x^2+1)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 1\right)} \log\left(x + 1\right) - {\left(x^{2} + 1\right)} \log\left(x - 1\right) - 2 \, x}{8 \, {\left(x^{2} + 1\right)}}"," ",0,"1/8*((x^2 + 1)*log(x + 1) - (x^2 + 1)*log(x - 1) - 2*x)/(x^2 + 1)","B",0
345,1,106,0,1.188576," ","integrate(x^3/(-x^3+1)/(x^3+1)^2,x, algorithm=""fricas"")","\frac{6 \, \sqrt{3} {\left(x^{3} + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, \sqrt{3} {\left(x^{3} + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + 3 \, {\left(x^{3} + 1\right)} \log\left(x^{2} + x + 1\right) + {\left(x^{3} + 1\right)} \log\left(x^{2} - x + 1\right) - 2 \, {\left(x^{3} + 1\right)} \log\left(x + 1\right) - 6 \, {\left(x^{3} + 1\right)} \log\left(x - 1\right) - 12 \, x}{72 \, {\left(x^{3} + 1\right)}}"," ",0,"1/72*(6*sqrt(3)*(x^3 + 1)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*sqrt(3)*(x^3 + 1)*arctan(1/3*sqrt(3)*(2*x - 1)) + 3*(x^3 + 1)*log(x^2 + x + 1) + (x^3 + 1)*log(x^2 - x + 1) - 2*(x^3 + 1)*log(x + 1) - 6*(x^3 + 1)*log(x - 1) - 12*x)/(x^3 + 1)","A",0
346,1,13,0,1.063061," ","integrate((x^3+3*x^2+x+9)/(x^2+1)/(x^2+3),x, algorithm=""fricas"")","3 \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 3\right)"," ",0,"3*arctan(x) + 1/2*log(x^2 + 3)","A",0
347,1,11,0,1.052927," ","integrate((x^3+x^2+x+3)/(x^2+1)/(x^2+3),x, algorithm=""fricas"")","\arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 3\right)"," ",0,"arctan(x) + 1/2*log(x^2 + 3)","A",0
348,1,24,0,1.233904," ","integrate((3*x^3-x^2+6*x-4)/(x^2+1)/(x^2+2),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 3 \, \arctan\left(x\right) + \frac{3}{2} \, \log\left(x^{2} + 1\right)"," ",0,"sqrt(2)*arctan(1/2*sqrt(2)*x) - 3*arctan(x) + 3/2*log(x^2 + 1)","A",0
349,1,17,0,1.147908," ","integrate(1/(x^2-4*x+4)/(x^2-4*x+5),x, algorithm=""fricas"")","-\frac{{\left(x - 2\right)} \arctan\left(x - 2\right) + 1}{x - 2}"," ",0,"-((x - 2)*arctan(x - 2) + 1)/(x - 2)","A",0
350,1,12,0,1.225636," ","integrate((x^2+x-3)/(-3+x)/x^2,x, algorithm=""fricas"")","\frac{x \log\left(x - 3\right) - 1}{x}"," ",0,"(x*log(x - 3) - 1)/x","A",0
351,1,9,0,1.129788," ","integrate((4*x^2+x+1)/(4*x^3+x),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(2 \, x\right) + \log\left(x\right)"," ",0,"1/2*arctan(2*x) + log(x)","A",0
352,1,13,0,1.135862," ","integrate((3*x^2-x+1)/(x^3-x^2),x, algorithm=""fricas"")","\frac{3 \, x \log\left(x - 1\right) + 1}{x}"," ",0,"(3*x*log(x - 1) + 1)/x","A",0
353,1,12,0,0.931683," ","integrate((x^2+3*x+4)/(x^2+x),x, algorithm=""fricas"")","x - 2 \, \log\left(x + 1\right) + 4 \, \log\left(x\right)"," ",0,"x - 2*log(x + 1) + 4*log(x)","A",0
354,1,15,0,1.257487," ","integrate((3*x^2+x+4)/(x^3+x),x, algorithm=""fricas"")","\arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + 4 \, \log\left(x\right)"," ",0,"arctan(x) - 1/2*log(x^2 + 1) + 4*log(x)","A",0
355,1,13,0,1.177371," ","integrate((8*x^2-4*x+7)/(1+4*x)/(x^2+1),x, algorithm=""fricas"")","-\arctan\left(x\right) + 2 \, \log\left(4 \, x + 1\right)"," ",0,"-arctan(x) + 2*log(4*x + 1)","A",0
356,1,26,0,1.101823," ","integrate(x^2/(-1+x)/(x^2+2*x+1),x, algorithm=""fricas"")","\frac{3 \, {\left(x + 1\right)} \log\left(x + 1\right) + {\left(x + 1\right)} \log\left(x - 1\right) + 2}{4 \, {\left(x + 1\right)}}"," ",0,"1/4*(3*(x + 1)*log(x + 1) + (x + 1)*log(x - 1) + 2)/(x + 1)","A",0
357,1,37,0,1.156778," ","integrate((x^2+3*x-4)/(-1+2*x)^2/(3+2*x),x, algorithm=""fricas"")","-\frac{25 \, {\left(2 \, x - 1\right)} \log\left(2 \, x + 3\right) - 41 \, {\left(2 \, x - 1\right)} \log\left(2 \, x - 1\right) - 36}{128 \, {\left(2 \, x - 1\right)}}"," ",0,"-1/128*(25*(2*x - 1)*log(2*x + 3) - 41*(2*x - 1)*log(2*x - 1) - 36)/(2*x - 1)","A",0
358,1,19,0,1.190964," ","integrate((3*x^2-4*x+5)/(-1+x)/(x^2+1),x, algorithm=""fricas"")","-3 \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right) + 2 \, \log\left(x - 1\right)"," ",0,"-3*arctan(x) + 1/2*log(x^2 + 1) + 2*log(x - 1)","A",0
359,1,36,0,1.351955," ","integrate((x^2-2*x-1)/(-1+x)^2/(x^2+1),x, algorithm=""fricas"")","\frac{2 \, {\left(x - 1\right)} \arctan\left(x\right) - {\left(x - 1\right)} \log\left(x^{2} + 1\right) + 2 \, {\left(x - 1\right)} \log\left(x - 1\right) + 2}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*(2*(x - 1)*arctan(x) - (x - 1)*log(x^2 + 1) + 2*(x - 1)*log(x - 1) + 2)/(x - 1)","A",0
360,1,37,0,1.302815," ","integrate((x^3+5)/(x^2-6*x+10)/(1/2-x+x^2),x, algorithm=""fricas"")","\frac{261}{221} \, \arctan\left(2 \, x - 1\right) + \frac{1026}{221} \, \arctan\left(x - 3\right) + \frac{109}{442} \, \log\left(x^{2} - x + \frac{1}{2}\right) + \frac{56}{221} \, \log\left(x^{2} - 6 \, x + 10\right)"," ",0,"261/221*arctan(2*x - 1) + 1026/221*arctan(x - 3) + 109/442*log(x^2 - x + 1/2) + 56/221*log(x^2 - 6*x + 10)","A",0
361,1,19,0,1.134517," ","integrate((x^2+3*x+4)/(-3+x)/(-2+x)/(-1+x),x, algorithm=""fricas"")","4 \, \log\left(x - 1\right) - 14 \, \log\left(x - 2\right) + 11 \, \log\left(x - 3\right)"," ",0,"4*log(x - 1) - 14*log(x - 2) + 11*log(x - 3)","A",0
362,1,60,0,1.599356," ","integrate((1+16*x)/(5+x)^2/(-3+2*x)/(x^2+x+1),x, algorithm=""fricas"")","\frac{152438 \, \sqrt{3} {\left(x + 5\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 243867 \, {\left(x + 5\right)} \log\left(x^{2} + x + 1\right) + 176400 \, {\left(x + 5\right)} \log\left(2 \, x - 3\right) + 311334 \, {\left(x + 5\right)} \log\left(x + 5\right) - 819546}{2832102 \, {\left(x + 5\right)}}"," ",0,"1/2832102*(152438*sqrt(3)*(x + 5)*arctan(1/3*sqrt(3)*(2*x + 1)) - 243867*(x + 5)*log(x^2 + x + 1) + 176400*(x + 5)*log(2*x - 3) + 311334*(x + 5)*log(x + 5) - 819546)/(x + 5)","A",0
363,1,9,0,1.165136," ","integrate((x^3-1)/(x^2+x+1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - x"," ",0,"1/2*x^2 - x","A",0
364,1,21,0,1.135778," ","integrate((x^3-3)/(x^2-6*x-7),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + 6 \, x + \frac{1}{2} \, \log\left(x + 1\right) + \frac{85}{2} \, \log\left(x - 7\right)"," ",0,"1/2*x^2 + 6*x + 1/2*log(x + 1) + 85/2*log(x - 7)","A",0
365,1,52,0,0.744788," ","integrate((x^3+1)/(x^2+4*x+13)^2,x, algorithm=""fricas"")","-\frac{61 \, {\left(x^{2} + 4 \, x + 13\right)} \arctan\left(\frac{1}{3} \, x + \frac{2}{3}\right) - 27 \, {\left(x^{2} + 4 \, x + 13\right)} \log\left(x^{2} + 4 \, x + 13\right) - 141 \, x - 201}{54 \, {\left(x^{2} + 4 \, x + 13\right)}}"," ",0,"-1/54*(61*(x^2 + 4*x + 13)*arctan(1/3*x + 2/3) - 27*(x^2 + 4*x + 13)*log(x^2 + 4*x + 13) - 141*x - 201)/(x^2 + 4*x + 13)","A",0
366,1,52,0,1.219791," ","integrate((3*x^5-10*x^4+21*x^3-42*x^2+36*x-32)/x/(x^2+1)/(x^2+4)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, x\right) + 4 \, {\left(x^{2} + 4\right)} \arctan\left(x\right) + 2 \, {\left(x^{2} + 4\right)} \log\left(x^{2} + 4\right) - 4 \, {\left(x^{2} + 4\right)} \log\left(x\right) + 2}{2 \, {\left(x^{2} + 4\right)}}"," ",0,"1/2*((x^2 + 4)*arctan(1/2*x) + 4*(x^2 + 4)*arctan(x) + 2*(x^2 + 4)*log(x^2 + 4) - 4*(x^2 + 4)*log(x) + 2)/(x^2 + 4)","A",0
367,1,178,0,1.287410," ","integrate((x^9+7*x^5+x^4-1)/(x^8+6*x^4-7),x, algorithm=""fricas"")","-\frac{1}{686} \cdot 343^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{1}{7} \cdot 343^{\frac{1}{4}} \sqrt{2} x + \frac{1}{49} \cdot 343^{\frac{1}{4}} \sqrt{2} \sqrt{343^{\frac{3}{4}} \sqrt{2} x + 49 \, x^{2} + 49 \, \sqrt{7}} - 1\right) - \frac{1}{686} \cdot 343^{\frac{3}{4}} \sqrt{2} \arctan\left(-\frac{1}{7} \cdot 343^{\frac{1}{4}} \sqrt{2} x + \frac{1}{49} \cdot 343^{\frac{1}{4}} \sqrt{2} \sqrt{-343^{\frac{3}{4}} \sqrt{2} x + 49 \, x^{2} + 49 \, \sqrt{7}} + 1\right) + \frac{1}{2744} \cdot 343^{\frac{3}{4}} \sqrt{2} \log\left(343^{\frac{3}{4}} \sqrt{2} x + 49 \, x^{2} + 49 \, \sqrt{7}\right) - \frac{1}{2744} \cdot 343^{\frac{3}{4}} \sqrt{2} \log\left(-343^{\frac{3}{4}} \sqrt{2} x + 49 \, x^{2} + 49 \, \sqrt{7}\right) + \frac{1}{2} \, x^{2} - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{4} \, \log\left(x^{2} - 1\right)"," ",0,"-1/686*343^(3/4)*sqrt(2)*arctan(-1/7*343^(1/4)*sqrt(2)*x + 1/49*343^(1/4)*sqrt(2)*sqrt(343^(3/4)*sqrt(2)*x + 49*x^2 + 49*sqrt(7)) - 1) - 1/686*343^(3/4)*sqrt(2)*arctan(-1/7*343^(1/4)*sqrt(2)*x + 1/49*343^(1/4)*sqrt(2)*sqrt(-343^(3/4)*sqrt(2)*x + 49*x^2 + 49*sqrt(7)) + 1) + 1/2744*343^(3/4)*sqrt(2)*log(343^(3/4)*sqrt(2)*x + 49*x^2 + 49*sqrt(7)) - 1/2744*343^(3/4)*sqrt(2)*log(-343^(3/4)*sqrt(2)*x + 49*x^2 + 49*sqrt(7)) + 1/2*x^2 - 1/4*log(x^2 + 1) + 1/4*log(x^2 - 1)","A",0
368,1,515,0,4.323928," ","integrate((x^6+x^3+1)/(x^5+x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{4} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)} \log\left({\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{3} - 5 \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} + 3 \, x + 20 \, \sqrt{\frac{1}{4} i} + 10 i + 5\right) - \frac{1}{4} \, {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} \log\left(-{\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{3} - {\left(2 \, \sqrt{\frac{1}{4} i} + i + 2\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + 4 \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - {\left({\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - 8 \, \sqrt{\frac{1}{4} i} - 4 i - 6\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} + 3 \, x - 16 \, \sqrt{\frac{1}{4} i} - 8 i - 9\right) + \frac{1}{4} \, {\left(\sqrt{\frac{1}{4} i} + \sqrt{-\frac{1}{4} i} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i - 3\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + \sqrt{\frac{1}{4} i} + \frac{1}{2} i - \frac{1}{2}} - 1\right)} \log\left(\frac{1}{2} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 2\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + \frac{1}{2} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} + \frac{1}{2} \, {\left({\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - 8 \, \sqrt{\frac{1}{4} i} - 4 i - 6\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i - 3\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + \sqrt{\frac{1}{4} i} + \frac{1}{2} i - \frac{1}{2}} {\left({\left(2 \, \sqrt{\frac{1}{4} i} + i + 2\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} + 2 \, \sqrt{\frac{1}{4} i} + i - 1\right)} + 3 \, x - 2 \, \sqrt{\frac{1}{4} i} - i + 2\right) + \frac{1}{4} \, {\left(\sqrt{\frac{1}{4} i} + \sqrt{-\frac{1}{4} i} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i - 3\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + \sqrt{\frac{1}{4} i} + \frac{1}{2} i - \frac{1}{2}} - 1\right)} \log\left(\frac{1}{2} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 2\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + \frac{1}{2} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} + \frac{1}{2} \, {\left({\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - 8 \, \sqrt{\frac{1}{4} i} - 4 i - 6\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{4} i} + i - 3\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)}^{2} + \sqrt{\frac{1}{4} i} + \frac{1}{2} i - \frac{1}{2}} {\left({\left(2 \, \sqrt{\frac{1}{4} i} + i + 2\right)} {\left(2 \, \sqrt{-\frac{1}{4} i} - i + 1\right)} + 2 \, \sqrt{\frac{1}{4} i} + i - 1\right)} + 3 \, x - 2 \, \sqrt{\frac{1}{4} i} - i + 2\right) + \log\left(x\right)"," ",0,"1/2*x^2 - 1/4*(2*sqrt(1/4*I) + I + 1)*log((2*sqrt(1/4*I) + I + 1)^3 - 5*(2*sqrt(1/4*I) + I + 1)^2 + 3*x + 20*sqrt(1/4*I) + 10*I + 5) - 1/4*(2*sqrt(-1/4*I) - I + 1)*log(-(2*sqrt(1/4*I) + I + 1)^3 - (2*sqrt(1/4*I) + I + 2)*(2*sqrt(-1/4*I) - I + 1)^2 + 4*(2*sqrt(1/4*I) + I + 1)^2 - ((2*sqrt(1/4*I) + I + 1)^2 - 8*sqrt(1/4*I) - 4*I - 6)*(2*sqrt(-1/4*I) - I + 1) + 3*x - 16*sqrt(1/4*I) - 8*I - 9) + 1/4*(sqrt(1/4*I) + sqrt(-1/4*I) - 2*sqrt(-3/16*(2*sqrt(1/4*I) + I + 1)^2 - 1/8*(2*sqrt(1/4*I) + I - 3)*(2*sqrt(-1/4*I) - I + 1) - 3/16*(2*sqrt(-1/4*I) - I + 1)^2 + sqrt(1/4*I) + 1/2*I - 1/2) - 1)*log(1/2*(2*sqrt(1/4*I) + I + 2)*(2*sqrt(-1/4*I) - I + 1)^2 + 1/2*(2*sqrt(1/4*I) + I + 1)^2 + 1/2*((2*sqrt(1/4*I) + I + 1)^2 - 8*sqrt(1/4*I) - 4*I - 6)*(2*sqrt(-1/4*I) - I + 1) + 2*sqrt(-3/16*(2*sqrt(1/4*I) + I + 1)^2 - 1/8*(2*sqrt(1/4*I) + I - 3)*(2*sqrt(-1/4*I) - I + 1) - 3/16*(2*sqrt(-1/4*I) - I + 1)^2 + sqrt(1/4*I) + 1/2*I - 1/2)*((2*sqrt(1/4*I) + I + 2)*(2*sqrt(-1/4*I) - I + 1) + 2*sqrt(1/4*I) + I - 1) + 3*x - 2*sqrt(1/4*I) - I + 2) + 1/4*(sqrt(1/4*I) + sqrt(-1/4*I) + 2*sqrt(-3/16*(2*sqrt(1/4*I) + I + 1)^2 - 1/8*(2*sqrt(1/4*I) + I - 3)*(2*sqrt(-1/4*I) - I + 1) - 3/16*(2*sqrt(-1/4*I) - I + 1)^2 + sqrt(1/4*I) + 1/2*I - 1/2) - 1)*log(1/2*(2*sqrt(1/4*I) + I + 2)*(2*sqrt(-1/4*I) - I + 1)^2 + 1/2*(2*sqrt(1/4*I) + I + 1)^2 + 1/2*((2*sqrt(1/4*I) + I + 1)^2 - 8*sqrt(1/4*I) - 4*I - 6)*(2*sqrt(-1/4*I) - I + 1) - 2*sqrt(-3/16*(2*sqrt(1/4*I) + I + 1)^2 - 1/8*(2*sqrt(1/4*I) + I - 3)*(2*sqrt(-1/4*I) - I + 1) - 3/16*(2*sqrt(-1/4*I) - I + 1)^2 + sqrt(1/4*I) + 1/2*I - 1/2)*((2*sqrt(1/4*I) + I + 2)*(2*sqrt(-1/4*I) - I + 1) + 2*sqrt(1/4*I) + I - 1) + 3*x - 2*sqrt(1/4*I) - I + 2) + log(x)","C",0
369,1,12,0,1.348084," ","integrate((x^2+1)/(x^2-x),x, algorithm=""fricas"")","x + 2 \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"x + 2*log(x - 1) - log(x)","A",0
370,1,10,0,1.562774," ","integrate((x^3+1)/(x^3-x),x, algorithm=""fricas"")","x + \log\left(x - 1\right) - \log\left(x\right)"," ",0,"x + log(x - 1) - log(x)","A",0
371,1,21,0,1.183383," ","integrate((x^3+1)/(x^3-x^2),x, algorithm=""fricas"")","\frac{x^{2} + 2 \, x \log\left(x - 1\right) - x \log\left(x\right) + 1}{x}"," ",0,"(x^2 + 2*x*log(x - 1) - x*log(x) + 1)/x","A",0
372,1,15,0,1.005149," ","integrate((x^5-1)/(x^3-x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + x - \log\left(x + 1\right) + \log\left(x\right)"," ",0,"1/3*x^3 + x - log(x + 1) + log(x)","A",0
373,1,25,0,1.017050," ","integrate((x^4+1)/(x^5+x^3),x, algorithm=""fricas"")","\frac{2 \, x^{2} \log\left(x^{2} + 1\right) - 2 \, x^{2} \log\left(x\right) - 1}{2 \, x^{2}}"," ",0,"1/2*(2*x^2*log(x^2 + 1) - 2*x^2*log(x) - 1)/x^2","A",0
374,1,14,0,1.028727," ","integrate((x^2+1)/(x^3+2*x^2+x),x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} \log\left(x\right) + 2}{x + 1}"," ",0,"((x + 1)*log(x) + 2)/(x + 1)","A",0
375,1,30,0,0.928353," ","integrate((x^5+1)/(x^3-3*x^2-10*x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{3}{2} \, x^{2} + 19 \, x - \frac{31}{14} \, \log\left(x + 2\right) + \frac{3126}{35} \, \log\left(x - 5\right) - \frac{1}{10} \, \log\left(x\right)"," ",0,"1/3*x^3 + 3/2*x^2 + 19*x - 31/14*log(x + 2) + 3126/35*log(x - 5) - 1/10*log(x)","A",0
376,1,38,0,1.153510," ","integrate((x^3+x^2-5*x+15)/(x^2+5)/(x^2+2*x+3),x, algorithm=""fricas"")","\frac{5}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)}\right) - \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 3\right)"," ",0,"5/2*sqrt(2)*arctan(1/2*sqrt(2)*(x + 1)) - sqrt(5)*arctan(1/5*sqrt(5)*x) + 1/2*log(x^2 + 2*x + 3)","A",0
377,1,15,0,1.083301," ","integrate(1/(x^2+1)/(3+10*x/(x^2+1)),x, algorithm=""fricas"")","\frac{1}{8} \, \log\left(3 \, x + 1\right) - \frac{1}{8} \, \log\left(x + 3\right)"," ",0,"1/8*log(3*x + 1) - 1/8*log(x + 3)","A",0
378,1,30,0,1.087203," ","integrate(x^3/(13+2/x+15*x),x, algorithm=""fricas"")","\frac{1}{45} \, x^{3} - \frac{13}{450} \, x^{2} + \frac{139}{3375} \, x + \frac{1}{4375} \, \log\left(5 \, x + 1\right) - \frac{16}{567} \, \log\left(3 \, x + 2\right)"," ",0,"1/45*x^3 - 13/450*x^2 + 139/3375*x + 1/4375*log(5*x + 1) - 16/567*log(3*x + 2)","A",0
379,1,25,0,0.928737," ","integrate(x^2/(13+2/x+15*x),x, algorithm=""fricas"")","\frac{1}{30} \, x^{2} - \frac{13}{225} \, x - \frac{1}{875} \, \log\left(5 \, x + 1\right) + \frac{8}{189} \, \log\left(3 \, x + 2\right)"," ",0,"1/30*x^2 - 13/225*x - 1/875*log(5*x + 1) + 8/189*log(3*x + 2)","A",0
380,1,20,0,1.465153," ","integrate(x/(13+2/x+15*x),x, algorithm=""fricas"")","\frac{1}{15} \, x + \frac{1}{175} \, \log\left(5 \, x + 1\right) - \frac{4}{63} \, \log\left(3 \, x + 2\right)"," ",0,"1/15*x + 1/175*log(5*x + 1) - 4/63*log(3*x + 2)","A",0
381,1,17,0,0.934698," ","integrate(1/(13+2/x+15*x),x, algorithm=""fricas"")","-\frac{1}{35} \, \log\left(5 \, x + 1\right) + \frac{2}{21} \, \log\left(3 \, x + 2\right)"," ",0,"-1/35*log(5*x + 1) + 2/21*log(3*x + 2)","A",0
382,1,17,0,1.103758," ","integrate(1/x/(13+2/x+15*x),x, algorithm=""fricas"")","\frac{1}{7} \, \log\left(5 \, x + 1\right) - \frac{1}{7} \, \log\left(3 \, x + 2\right)"," ",0,"1/7*log(5*x + 1) - 1/7*log(3*x + 2)","A",0
383,1,21,0,0.825863," ","integrate(1/x^2/(13+2/x+15*x),x, algorithm=""fricas"")","-\frac{5}{7} \, \log\left(5 \, x + 1\right) + \frac{3}{14} \, \log\left(3 \, x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-5/7*log(5*x + 1) + 3/14*log(3*x + 2) + 1/2*log(x)","A",0
384,1,30,0,0.967476," ","integrate(1/x^3/(13+2/x+15*x),x, algorithm=""fricas"")","\frac{100 \, x \log\left(5 \, x + 1\right) - 9 \, x \log\left(3 \, x + 2\right) - 91 \, x \log\left(x\right) - 14}{28 \, x}"," ",0,"1/28*(100*x*log(5*x + 1) - 9*x*log(3*x + 2) - 91*x*log(x) - 14)/x","A",0
385,1,39,0,1.123593," ","integrate(1/x^4/(13+2/x+15*x),x, algorithm=""fricas"")","-\frac{1000 \, x^{2} \log\left(5 \, x + 1\right) - 27 \, x^{2} \log\left(3 \, x + 2\right) - 973 \, x^{2} \log\left(x\right) - 182 \, x + 14}{56 \, x^{2}}"," ",0,"-1/56*(1000*x^2*log(5*x + 1) - 27*x^2*log(3*x + 2) - 973*x^2*log(x) - 182*x + 14)/x^2","A",0
386,1,44,0,1.017594," ","integrate(1/x^5/(13+2/x+15*x),x, algorithm=""fricas"")","\frac{30000 \, x^{3} \log\left(5 \, x + 1\right) - 243 \, x^{3} \log\left(3 \, x + 2\right) - 29757 \, x^{3} \log\left(x\right) - 5838 \, x^{2} + 546 \, x - 56}{336 \, x^{3}}"," ",0,"1/336*(30000*x^3*log(5*x + 1) - 243*x^3*log(3*x + 2) - 29757*x^3*log(x) - 5838*x^2 + 546*x - 56)/x^3","A",0
387,1,1506,0,3.453300," ","integrate(x^2/(2-(x^2+1)^4),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{2} \sqrt{\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} + 4 \, \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + 4 \, \sqrt{2}\right)} \sqrt{\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} + 4 \, \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + 4 \, \sqrt{2}\right)} \sqrt{\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) - \frac{1}{16} \, \sqrt{2} \sqrt{\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + 4 \, \sqrt{2}\right)} \sqrt{\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + 4 \, \sqrt{2}\right)} \sqrt{\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) + \frac{1}{16} \, \sqrt{2^{\frac{3}{4}} - \sqrt{2}} \log\left(\frac{1}{4} \, {\left({\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{3} + {\left(2^{\frac{3}{4}} + \sqrt{2} + 1\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - {\left({\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 4\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \cdot 2^{\frac{3}{4}} - 4 \, \sqrt{2} - 6\right)} \sqrt{2^{\frac{3}{4}} - \sqrt{2}} + 3 \, x\right) - \frac{1}{16} \, \sqrt{2^{\frac{3}{4}} - \sqrt{2}} \log\left(-\frac{1}{4} \, {\left({\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{3} + {\left(2^{\frac{3}{4}} + \sqrt{2} + 1\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - {\left({\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 4\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \cdot 2^{\frac{3}{4}} - 4 \, \sqrt{2} - 6\right)} \sqrt{2^{\frac{3}{4}} - \sqrt{2}} + 3 \, x\right) - \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} - \frac{1}{256} \, \sqrt{2}} \log\left(4 \, {\left({\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{3} - {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 10\right)} \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} - \frac{1}{256} \, \sqrt{2}} + 3 \, x\right) + \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} - \frac{1}{256} \, \sqrt{2}} \log\left(-4 \, {\left({\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{3} - {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - 10\right)} \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} - \frac{1}{256} \, \sqrt{2}} + 3 \, x\right)"," ",0,"-1/16*sqrt(2)*sqrt(1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(1/4*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2))^2 + sqrt(2)*(2^(3/4) + sqrt(2))^2 - (sqrt(2)*(2^(3/4) + sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) - sqrt(2)) + 4*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2)) - sqrt(2)*(2^(3/4) + sqrt(2)) - 4*sqrt(2)) - 4*sqrt(2)*(2^(3/4) + sqrt(2)) + 4*sqrt(2))*sqrt(1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) + 1/16*sqrt(2)*sqrt(1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(-1/4*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2))^2 + sqrt(2)*(2^(3/4) + sqrt(2))^2 - (sqrt(2)*(2^(3/4) + sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) - sqrt(2)) + 4*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2)) - sqrt(2)*(2^(3/4) + sqrt(2)) - 4*sqrt(2)) - 4*sqrt(2)*(2^(3/4) + sqrt(2)) + 4*sqrt(2))*sqrt(1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) - 1/16*sqrt(2)*sqrt(1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(1/4*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2))^2 + sqrt(2)*(2^(3/4) + sqrt(2))^2 - (sqrt(2)*(2^(3/4) + sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) - sqrt(2)) - 4*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2)) - sqrt(2)*(2^(3/4) + sqrt(2)) - 4*sqrt(2)) - 4*sqrt(2)*(2^(3/4) + sqrt(2)) + 4*sqrt(2))*sqrt(1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) + 1/16*sqrt(2)*sqrt(1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(-1/4*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2))^2 + sqrt(2)*(2^(3/4) + sqrt(2))^2 - (sqrt(2)*(2^(3/4) + sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) - sqrt(2)) - 4*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)*((sqrt(2)*(2^(3/4) + sqrt(2)) + sqrt(2))*(2^(3/4) - sqrt(2)) - sqrt(2)*(2^(3/4) + sqrt(2)) - 4*sqrt(2)) - 4*sqrt(2)*(2^(3/4) + sqrt(2)) + 4*sqrt(2))*sqrt(1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) + 1/16*sqrt(2^(3/4) - sqrt(2))*log(1/4*((2^(3/4) + sqrt(2))^3 + (2^(3/4) + sqrt(2) + 1)*(2^(3/4) - sqrt(2))^2 - ((2^(3/4) + sqrt(2))^2 - 4)*(2^(3/4) - sqrt(2)) - 4*2^(3/4) - 4*sqrt(2) - 6)*sqrt(2^(3/4) - sqrt(2)) + 3*x) - 1/16*sqrt(2^(3/4) - sqrt(2))*log(-1/4*((2^(3/4) + sqrt(2))^3 + (2^(3/4) + sqrt(2) + 1)*(2^(3/4) - sqrt(2))^2 - ((2^(3/4) + sqrt(2))^2 - 4)*(2^(3/4) - sqrt(2)) - 4*2^(3/4) - 4*sqrt(2) - 6)*sqrt(2^(3/4) - sqrt(2)) + 3*x) - sqrt(-1/256*2^(3/4) - 1/256*sqrt(2))*log(4*((2^(3/4) + sqrt(2))^3 - (2^(3/4) + sqrt(2))^2 - 10)*sqrt(-1/256*2^(3/4) - 1/256*sqrt(2)) + 3*x) + sqrt(-1/256*2^(3/4) - 1/256*sqrt(2))*log(-4*((2^(3/4) + sqrt(2))^3 - (2^(3/4) + sqrt(2))^2 - 10)*sqrt(-1/256*2^(3/4) - 1/256*sqrt(2)) + 3*x)","B",0
388,1,1546,0,4.053581," ","integrate(x^2/(2-(-x^2+1)^4),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{2} \sqrt{-\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + 4 \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{-\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + 4 \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} + \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) - \frac{1}{16} \, \sqrt{2} \sqrt{-\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{-\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} \log\left(-\frac{1}{4} \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} - \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - {\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - 4 \, \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \, {\left({\left(\sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \sqrt{2}\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} + \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1} - 4 \, \sqrt{2} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - 4 \, \sqrt{2}\right)} \sqrt{-\frac{1}{2} \, \sqrt{2} - \sqrt{-\frac{3}{16} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} + \frac{1}{8} \, {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} {\left(2^{\frac{3}{4}} - \sqrt{2}\right)} - \frac{3}{16} \, {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 1}} + 6 \, x\right) + \frac{1}{16} \, \sqrt{2^{\frac{3}{4}} + \sqrt{2}} \log\left(\frac{1}{4} \, {\left({\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{3} + {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} {\left(2^{\frac{3}{4}} - \sqrt{2} - 1\right)} - {\left({\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - 4\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \cdot 2^{\frac{3}{4}} + 4 \, \sqrt{2} + 6\right)} \sqrt{2^{\frac{3}{4}} + \sqrt{2}} + 3 \, x\right) - \frac{1}{16} \, \sqrt{2^{\frac{3}{4}} + \sqrt{2}} \log\left(-\frac{1}{4} \, {\left({\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{3} + {\left(2^{\frac{3}{4}} + \sqrt{2}\right)}^{2} {\left(2^{\frac{3}{4}} - \sqrt{2} - 1\right)} - {\left({\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} - 4\right)} {\left(2^{\frac{3}{4}} + \sqrt{2}\right)} - 4 \cdot 2^{\frac{3}{4}} + 4 \, \sqrt{2} + 6\right)} \sqrt{2^{\frac{3}{4}} + \sqrt{2}} + 3 \, x\right) - \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} + \frac{1}{256} \, \sqrt{2}} \log\left(4 \, {\left({\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{3} + {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 10\right)} \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} + \frac{1}{256} \, \sqrt{2}} + 3 \, x\right) + \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} + \frac{1}{256} \, \sqrt{2}} \log\left(-4 \, {\left({\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{3} + {\left(2^{\frac{3}{4}} - \sqrt{2}\right)}^{2} + 10\right)} \sqrt{-\frac{1}{256} \cdot 2^{\frac{3}{4}} + \frac{1}{256} \, \sqrt{2}} + 3 \, x\right)"," ",0,"-1/16*sqrt(2)*sqrt(-1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(1/4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2))^2 - sqrt(2)*(2^(3/4) - sqrt(2))^2 - (sqrt(2)*(2^(3/4) - sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) + sqrt(2)) + 4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2)) + sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1) - 4*sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) + 1/16*sqrt(2)*sqrt(-1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(-1/4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2))^2 - sqrt(2)*(2^(3/4) - sqrt(2))^2 - (sqrt(2)*(2^(3/4) - sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) + sqrt(2)) + 4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2)) + sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1) - 4*sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-1/2*sqrt(2) + sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) - 1/16*sqrt(2)*sqrt(-1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(1/4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2))^2 - sqrt(2)*(2^(3/4) - sqrt(2))^2 - (sqrt(2)*(2^(3/4) - sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) + sqrt(2)) - 4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2)) + sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1) - 4*sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) + 1/16*sqrt(2)*sqrt(-1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1))*log(-1/4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2))^2 - sqrt(2)*(2^(3/4) - sqrt(2))^2 - (sqrt(2)*(2^(3/4) - sqrt(2))^2 - 4*sqrt(2))*(2^(3/4) + sqrt(2)) - 4*((sqrt(2)*(2^(3/4) - sqrt(2)) - sqrt(2))*(2^(3/4) + sqrt(2)) + sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1) - 4*sqrt(2)*(2^(3/4) - sqrt(2)) - 4*sqrt(2))*sqrt(-1/2*sqrt(2) - sqrt(-3/16*(2^(3/4) + sqrt(2))^2 + 1/8*(2^(3/4) + sqrt(2))*(2^(3/4) - sqrt(2)) - 3/16*(2^(3/4) - sqrt(2))^2 + 1)) + 6*x) + 1/16*sqrt(2^(3/4) + sqrt(2))*log(1/4*((2^(3/4) - sqrt(2))^3 + (2^(3/4) + sqrt(2))^2*(2^(3/4) - sqrt(2) - 1) - ((2^(3/4) - sqrt(2))^2 - 4)*(2^(3/4) + sqrt(2)) - 4*2^(3/4) + 4*sqrt(2) + 6)*sqrt(2^(3/4) + sqrt(2)) + 3*x) - 1/16*sqrt(2^(3/4) + sqrt(2))*log(-1/4*((2^(3/4) - sqrt(2))^3 + (2^(3/4) + sqrt(2))^2*(2^(3/4) - sqrt(2) - 1) - ((2^(3/4) - sqrt(2))^2 - 4)*(2^(3/4) + sqrt(2)) - 4*2^(3/4) + 4*sqrt(2) + 6)*sqrt(2^(3/4) + sqrt(2)) + 3*x) - sqrt(-1/256*2^(3/4) + 1/256*sqrt(2))*log(4*((2^(3/4) - sqrt(2))^3 + (2^(3/4) - sqrt(2))^2 + 10)*sqrt(-1/256*2^(3/4) + 1/256*sqrt(2)) + 3*x) + sqrt(-1/256*2^(3/4) + 1/256*sqrt(2))*log(-4*((2^(3/4) - sqrt(2))^3 + (2^(3/4) - sqrt(2))^2 + 10)*sqrt(-1/256*2^(3/4) + 1/256*sqrt(2)) + 3*x)","B",0
389,1,2271,0,4.129153," ","integrate(x^2/(2+(x^2+1)^4),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left({\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} + \sqrt{2}\right)} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(-{\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} + \sqrt{2}\right)} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) - \frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left({\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(-{\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) - \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} \log\left(8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} - 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + 32768 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} - 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}} + 1\right)} - 2 i \, \sqrt{2} - 256 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}} + 3\right)} \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} + x\right) + \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} \log\left(-8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} - 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + 32768 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} - 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}} + 1\right)} - 2 i \, \sqrt{2} - 256 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}} + 3\right)} \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} + x\right) + \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} - 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 2 i \, \sqrt{2} - 256 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}} + 5\right)} \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + x\right) - \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(-8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} - 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 2 i \, \sqrt{2} - 256 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}} + 5\right)} \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + x\right)"," ",0,"-1/16*sqrt(2)*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log((16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))) + sqrt(2))*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) + 1/16*sqrt(2)*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log(-(16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))) + sqrt(2))*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) - 1/16*sqrt(2)*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log((16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 + sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))) + sqrt(2))*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) + 1/16*sqrt(2)*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log(-(16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 + sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - sqrt(2))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - sqrt(2)*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))) + sqrt(2))*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) - sqrt(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))*log(8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^3 - 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + 32768*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) - 128*sqrt(-1/8192*I*sqrt(2)) + 1) - 2*I*sqrt(2) - 256*sqrt(-1/8192*I*sqrt(2)) + 3)*sqrt(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2))) + x) + sqrt(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))*log(-8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^3 - 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + 32768*(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) - 128*sqrt(-1/8192*I*sqrt(2)) + 1) - 2*I*sqrt(2) - 256*sqrt(-1/8192*I*sqrt(2)) + 3)*sqrt(1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2))) + x) + sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))*log(8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^3 - 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 2*I*sqrt(2) - 256*sqrt(-1/8192*I*sqrt(2)) + 5)*sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2))) + x) - sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))*log(-8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^3 - 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 2*I*sqrt(2) - 256*sqrt(-1/8192*I*sqrt(2)) + 5)*sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2))) + x)","B",0
390,1,2259,0,4.000324," ","integrate(x^2/(2+(-x^2+1)^4),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left({\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} - \sqrt{2}\right)} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(-{\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} - \sqrt{2}\right)} \sqrt{\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) - \frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left({\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} - \sqrt{2}\right)} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) + \frac{1}{16} \, \sqrt{2} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(-{\left(16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + 16384 \, {\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + 16384 \, \sqrt{2} {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} + \sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} {\left({\left(\sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} + \sqrt{2} {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}\right)} - \sqrt{2}\right)} \sqrt{-\sqrt{-12288 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 12288 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - \frac{1}{8} \, {\left(i \, \sqrt{2} + 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 1} + 32 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} + 32 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + 2 \, x\right) - \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} + 32768 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} - 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} - 1\right)} - 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 2 i \, \sqrt{2} - 256 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} - 3\right)} \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + x\right) + \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} \log\left(-8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} + 32768 \, {\left(\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} - 128 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} - 1\right)} - 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} {\left(-i \, \sqrt{2} + 128 \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}\right)} - 2 i \, \sqrt{2} - 256 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} - 3\right)} \sqrt{\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{-\frac{1}{8192} i \, \sqrt{2}}} + x\right) + \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} \log\left(8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} + 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 2 i \, \sqrt{2} - 256 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} - 5\right)} \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} + x\right) - \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} \log\left(-8 \, {\left(8388608 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{3} + 32768 \, {\left(-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}\right)}^{2} - 2 i \, \sqrt{2} - 256 \, \sqrt{\frac{1}{8192} i \, \sqrt{2}} - 5\right)} \sqrt{-\frac{1}{256} i \, \sqrt{2} - \frac{1}{2} \, \sqrt{\frac{1}{8192} i \, \sqrt{2}}} + x\right)"," ",0,"-1/16*sqrt(2)*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log((16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 + 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))) - sqrt(2))*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) + 1/16*sqrt(2)*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log(-(16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 + 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))) - sqrt(2))*sqrt(sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) - 1/16*sqrt(2)*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log((16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 + 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 + sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))) - sqrt(2))*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) + 1/16*sqrt(2)*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2)))*log(-(16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + 16384*(sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 + 16384*sqrt(2)*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 + sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1)*((sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2))) + sqrt(2))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) + sqrt(2)*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))) - sqrt(2))*sqrt(-sqrt(-12288*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2 - 12288*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 1/8*(I*sqrt(2) + 128*sqrt(1/8192*I*sqrt(2)))*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 1) + 32*sqrt(1/8192*I*sqrt(2)) + 32*sqrt(-1/8192*I*sqrt(2))) + 2*x) - sqrt(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))*log(8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^3 + 32768*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) - 128*sqrt(1/8192*I*sqrt(2)) - 1) - 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 2*I*sqrt(2) - 256*sqrt(1/8192*I*sqrt(2)) - 3)*sqrt(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2))) + x) + sqrt(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))*log(-8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^3 + 32768*(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2)))^2*(-I*sqrt(2) - 128*sqrt(1/8192*I*sqrt(2)) - 1) - 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2*(-I*sqrt(2) + 128*sqrt(-1/8192*I*sqrt(2))) - 2*I*sqrt(2) - 256*sqrt(1/8192*I*sqrt(2)) - 3)*sqrt(1/256*I*sqrt(2) - 1/2*sqrt(-1/8192*I*sqrt(2))) + x) + sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))*log(8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^3 + 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 2*I*sqrt(2) - 256*sqrt(1/8192*I*sqrt(2)) - 5)*sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2))) + x) - sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))*log(-8*(8388608*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^3 + 32768*(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2)))^2 - 2*I*sqrt(2) - 256*sqrt(1/8192*I*sqrt(2)) - 5)*sqrt(-1/256*I*sqrt(2) - 1/2*sqrt(1/8192*I*sqrt(2))) + x)","B",0
391,-1,0,0,0.000000," ","integrate((-x^2+1)/(a+b*(-x^2+1)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
392,-1,0,0,0.000000," ","integrate((-x^2+1)/(a+b*(x^2-1)^4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
393,1,5653,0,4.553214," ","integrate((x^2+1)^2/(a*x^6+b*(x^2+1)^3),x, algorithm=""fricas"")","\frac{1}{36} \, \sqrt{\frac{1}{2}} \sqrt{\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}} \log\left(\frac{1}{6} \, \sqrt{\frac{1}{2}} \sqrt{\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}} b + x\right) - \frac{1}{36} \, \sqrt{\frac{1}{2}} \sqrt{\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}} \log\left(-\frac{1}{6} \, \sqrt{\frac{1}{2}} \sqrt{\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}} b + x\right) + \frac{1}{72} \, \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} \log\left(\frac{1}{12} \, b \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} + x\right) - \frac{1}{72} \, \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} \log\left(-\frac{1}{12} \, b \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} + x\right) + \frac{1}{72} \, \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} \log\left(\frac{1}{12} \, b \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} + x\right) - \frac{1}{72} \, \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} \log\left(-\frac{1}{12} \, b \sqrt{-\frac{{\left(a b + b^{2}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} - 3 \, \sqrt{\frac{1}{3}} {\left(a b + b^{2}\right)} \sqrt{-\frac{{\left(a^{2} b^{3} + 2 \, a b^{4} + b^{5}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)}^{2} + 144 \, {\left(a b^{2} + b^{3}\right)} {\left(\frac{{\left(-i \, \sqrt{3} + 1\right)} {\left(\frac{1}{a b^{3} + b^{4}} - \frac{1}{{\left(a b + b^{2}\right)}^{2}}\right)}}{{\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}}} - 1296 \, {\left(i \, \sqrt{3} + 1\right)} {\left(-\frac{1}{93312 \, {\left(a b^{5} + b^{6}\right)}} + \frac{1}{31104 \, {\left(a b^{3} + b^{4}\right)} {\left(a b + b^{2}\right)}} - \frac{1}{46656 \, {\left(a b + b^{2}\right)}^{3}} + \frac{a}{93312 \, {\left(a + b\right)}^{2} b^{5}}\right)}^{\frac{1}{3}} - \frac{72}{a b + b^{2}}\right)} + 20736 \, a + 5184 \, b}{a^{2} b^{3} + 2 \, a b^{4} + b^{5}}} + 216}{a b + b^{2}}} + x\right)"," ",0,"1/36*sqrt(1/2)*sqrt((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))*log(1/6*sqrt(1/2)*sqrt((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))*b + x) - 1/36*sqrt(1/2)*sqrt((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))*log(-1/6*sqrt(1/2)*sqrt((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))*b + x) + 1/72*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2))*log(1/12*b*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2)) + x) - 1/72*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2))*log(-1/12*b*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2)) + x) + 1/72*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) - 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2))*log(1/12*b*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) - 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2)) + x) - 1/72*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) - 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2))*log(-1/12*b*sqrt(-((a*b + b^2)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) - 3*sqrt(1/3)*(a*b + b^2)*sqrt(-((a^2*b^3 + 2*a*b^4 + b^5)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2))^2 + 144*(a*b^2 + b^3)*((-I*sqrt(3) + 1)*(1/(a*b^3 + b^4) - 1/(a*b + b^2)^2)/(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 1296*(I*sqrt(3) + 1)*(-1/93312/(a*b^5 + b^6) + 1/31104/((a*b^3 + b^4)*(a*b + b^2)) - 1/46656/(a*b + b^2)^3 + 1/93312*a/((a + b)^2*b^5))^(1/3) - 72/(a*b + b^2)) + 20736*a + 5184*b)/(a^2*b^3 + 2*a*b^4 + b^5)) + 216)/(a*b + b^2)) + x)","C",0
394,-1,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
395,-1,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
396,-1,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
397,1,121,0,1.073143," ","integrate(1/(c*x^4+a),x, algorithm=""fricas"")","\left(-\frac{1}{a^{3} c}\right)^{\frac{1}{4}} \arctan\left(-a^{2} c x \left(-\frac{1}{a^{3} c}\right)^{\frac{3}{4}} + \sqrt{a^{2} \sqrt{-\frac{1}{a^{3} c}} + x^{2}} a^{2} c \left(-\frac{1}{a^{3} c}\right)^{\frac{3}{4}}\right) + \frac{1}{4} \, \left(-\frac{1}{a^{3} c}\right)^{\frac{1}{4}} \log\left(a \left(-\frac{1}{a^{3} c}\right)^{\frac{1}{4}} + x\right) - \frac{1}{4} \, \left(-\frac{1}{a^{3} c}\right)^{\frac{1}{4}} \log\left(-a \left(-\frac{1}{a^{3} c}\right)^{\frac{1}{4}} + x\right)"," ",0,"(-1/(a^3*c))^(1/4)*arctan(-a^2*c*x*(-1/(a^3*c))^(3/4) + sqrt(a^2*sqrt(-1/(a^3*c)) + x^2)*a^2*c*(-1/(a^3*c))^(3/4)) + 1/4*(-1/(a^3*c))^(1/4)*log(a*(-1/(a^3*c))^(1/4) + x) - 1/4*(-1/(a^3*c))^(1/4)*log(-a*(-1/(a^3*c))^(1/4) + x)","A",0
398,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
399,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
400,-1,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^4+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,-1,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
402,-1,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
403,-1,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
404,1,173,0,1.161746," ","integrate(1/(c*x^4+a)^2,x, algorithm=""fricas"")","\frac{12 \, {\left(a c x^{4} + a^{2}\right)} \left(-\frac{1}{a^{7} c}\right)^{\frac{1}{4}} \arctan\left(-a^{5} c x \left(-\frac{1}{a^{7} c}\right)^{\frac{3}{4}} + \sqrt{a^{4} \sqrt{-\frac{1}{a^{7} c}} + x^{2}} a^{5} c \left(-\frac{1}{a^{7} c}\right)^{\frac{3}{4}}\right) + 3 \, {\left(a c x^{4} + a^{2}\right)} \left(-\frac{1}{a^{7} c}\right)^{\frac{1}{4}} \log\left(a^{2} \left(-\frac{1}{a^{7} c}\right)^{\frac{1}{4}} + x\right) - 3 \, {\left(a c x^{4} + a^{2}\right)} \left(-\frac{1}{a^{7} c}\right)^{\frac{1}{4}} \log\left(-a^{2} \left(-\frac{1}{a^{7} c}\right)^{\frac{1}{4}} + x\right) + 4 \, x}{16 \, {\left(a c x^{4} + a^{2}\right)}}"," ",0,"1/16*(12*(a*c*x^4 + a^2)*(-1/(a^7*c))^(1/4)*arctan(-a^5*c*x*(-1/(a^7*c))^(3/4) + sqrt(a^4*sqrt(-1/(a^7*c)) + x^2)*a^5*c*(-1/(a^7*c))^(3/4)) + 3*(a*c*x^4 + a^2)*(-1/(a^7*c))^(1/4)*log(a^2*(-1/(a^7*c))^(1/4) + x) - 3*(a*c*x^4 + a^2)*(-1/(a^7*c))^(1/4)*log(-a^2*(-1/(a^7*c))^(1/4) + x) + 4*x)/(a*c*x^4 + a^2)","A",0
405,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
406,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
407,-1,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^4+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,-1,0,0,0.000000," ","integrate((e*x+d)^3/(c*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
409,-1,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,-1,0,0,0.000000," ","integrate((e*x+d)/(c*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
411,1,232,0,1.458536," ","integrate(1/(c*x^4+a)^3,x, algorithm=""fricas"")","\frac{28 \, c x^{5} + 84 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)} \left(-\frac{1}{a^{11} c}\right)^{\frac{1}{4}} \arctan\left(-a^{8} c x \left(-\frac{1}{a^{11} c}\right)^{\frac{3}{4}} + \sqrt{a^{6} \sqrt{-\frac{1}{a^{11} c}} + x^{2}} a^{8} c \left(-\frac{1}{a^{11} c}\right)^{\frac{3}{4}}\right) + 21 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)} \left(-\frac{1}{a^{11} c}\right)^{\frac{1}{4}} \log\left(a^{3} \left(-\frac{1}{a^{11} c}\right)^{\frac{1}{4}} + x\right) - 21 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)} \left(-\frac{1}{a^{11} c}\right)^{\frac{1}{4}} \log\left(-a^{3} \left(-\frac{1}{a^{11} c}\right)^{\frac{1}{4}} + x\right) + 44 \, a x}{128 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}}"," ",0,"1/128*(28*c*x^5 + 84*(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4)*(-1/(a^11*c))^(1/4)*arctan(-a^8*c*x*(-1/(a^11*c))^(3/4) + sqrt(a^6*sqrt(-1/(a^11*c)) + x^2)*a^8*c*(-1/(a^11*c))^(3/4)) + 21*(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4)*(-1/(a^11*c))^(1/4)*log(a^3*(-1/(a^11*c))^(1/4) + x) - 21*(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4)*(-1/(a^11*c))^(1/4)*log(-a^3*(-1/(a^11*c))^(1/4) + x) + 44*a*x)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4)","A",0
412,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(c*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,-1,0,0,0.000000," ","integrate(1/(e*x+d)^3/(c*x^4+a)^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
415,1,28,0,1.534385," ","integrate((-1+x)/(x^2-x+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*log(x^2 - x + 1)","A",0
416,1,28,0,1.387157," ","integrate((x^2-1)/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*log(x^2 - x + 1)","A",0
417,1,26,0,1.652468," ","integrate((-4+3*x)/(x^2-2*x+4),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x - 1\right)}\right) + \frac{3}{2} \, \log\left(x^{2} - 2 \, x + 4\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(x - 1)) + 3/2*log(x^2 - 2*x + 4)","A",0
418,1,26,0,1.658092," ","integrate((3*x^2+2*x-8)/(x^3+8),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x - 1\right)}\right) + \frac{3}{2} \, \log\left(x^{2} - 2 \, x + 4\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(x - 1)) + 3/2*log(x^2 - 2*x + 4)","A",0
419,1,45,0,1.613122," ","integrate((2+x)/(x^2+2*x-1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{2} - 2 \, \sqrt{2} {\left(x + 1\right)} + 2 \, x + 3}{x^{2} + 2 \, x - 1}\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x - 1\right)"," ",0,"1/4*sqrt(2)*log((x^2 - 2*sqrt(2)*(x + 1) + 2*x + 3)/(x^2 + 2*x - 1)) + 1/2*log(x^2 + 2*x - 1)","A",0
420,1,45,0,1.406011," ","integrate((x^2-4)/(x^3-5*x+2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{2} - 2 \, \sqrt{2} {\left(x + 1\right)} + 2 \, x + 3}{x^{2} + 2 \, x - 1}\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x - 1\right)"," ",0,"1/4*sqrt(2)*log((x^2 - 2*sqrt(2)*(x + 1) + 2*x + 3)/(x^2 + 2*x - 1)) + 1/2*log(x^2 + 2*x - 1)","A",0
421,1,17,0,1.393080," ","integrate(2/(4*x^2-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(2 \, x + 1\right) + \frac{1}{2} \, \log\left(2 \, x - 1\right)"," ",0,"-1/2*log(2*x + 1) + 1/2*log(2*x - 1)","B",0
422,1,17,0,1.162078," ","integrate(1/(-1+2*x)-1/(1+2*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(2 \, x + 1\right) + \frac{1}{2} \, \log\left(2 \, x - 1\right)"," ",0,"-1/2*log(2*x + 1) + 1/2*log(2*x - 1)","A",0
423,1,24,0,1.345908," ","integrate(x/(-x^2+1)^5,x, algorithm=""fricas"")","\frac{1}{8 \, {\left(x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1\right)}}"," ",0,"1/8/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)","B",0
424,1,24,0,1.104446," ","integrate(-1/32/(-1+x)^5+3/64/(-1+x)^4-5/128/(-1+x)^3+5/256/(-1+x)^2-1/32/(1+x)^5-3/64/(1+x)^4-5/128/(1+x)^3-5/256/(1+x)^2,x, algorithm=""fricas"")","\frac{1}{8 \, {\left(x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1\right)}}"," ",0,"1/8/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)","B",0
425,1,66,0,1.257370," ","integrate((x^6+1)/(x^6-1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x - 1/6*log(x^2 + x + 1) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1) + 1/3*log(x - 1)","A",0
426,1,66,0,1.358871," ","integrate((1/x^3+x^3)/(-1/x^3+x^3),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x - 1/6*log(x^2 + x + 1) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1) + 1/3*log(x - 1)","A",0
427,1,20,0,1.481517," ","integrate((x^3-x)/(6+2*x),x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} - \frac{3}{4} \, x^{2} + 4 \, x - 12 \, \log\left(x + 3\right)"," ",0,"1/6*x^3 - 3/4*x^2 + 4*x - 12*log(x + 3)","A",0
428,1,20,0,1.350998," ","integrate((x^3+x)/(-1+x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + 2 \, x + 2 \, \log\left(x - 1\right)"," ",0,"1/3*x^3 + 1/2*x^2 + 2*x + 2*log(x - 1)","A",0
429,1,18,0,0.991808," ","integrate(a*c+(b*c+d)*x,x, algorithm=""fricas"")","\frac{1}{2} x^{2} c b + \frac{1}{2} x^{2} d + x c a"," ",0,"1/2*x^2*c*b + 1/2*x^2*d + x*c*a","A",0
430,1,18,0,1.000067," ","integrate(d*x+c*(b*x+a),x, algorithm=""fricas"")","\frac{1}{2} x^{2} c b + \frac{1}{2} x^{2} d + x c a"," ",0,"1/2*x^2*c*b + 1/2*x^2*d + x*c*a","A",0
431,1,25,0,0.958035," ","integrate((4+4*x)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x \arctan\left(x\right) + x \log\left(x^{2} + 1\right) - 2 \, x \log\left(x\right) + 2\right)}}{x}"," ",0,"-2*(2*x*arctan(x) + x*log(x^2 + 1) - 2*x*log(x) + 2)/x","A",0
432,1,15,0,1.407832," ","integrate((24+8*x)/x/(x^2-4),x, algorithm=""fricas"")","\log\left(x + 2\right) + 5 \, \log\left(x - 2\right) - 6 \, \log\left(x\right)"," ",0,"log(x + 2) + 5*log(x - 2) - 6*log(x)","A",0
433,1,13,0,1.278733," ","integrate((x^2-1)/(x^3-2*x),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(x^{2} - 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/4*log(x^2 - 2) + 1/2*log(x)","A",0
434,1,10,0,1.395501," ","integrate((x^2+1)/(x^3+3*x),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x^{3} + 3 \, x\right)"," ",0,"1/3*log(x^3 + 3*x)","A",0
435,1,10,0,1.160457," ","integrate((3*b*x^2+a)/(b*x^3+a*x),x, algorithm=""fricas"")","\log\left(b x^{3} + a x\right)"," ",0,"log(b*x^3 + a*x)","A",0
436,1,15,0,0.994095," ","integrate((-2+4*x)/(x^3-x),x, algorithm=""fricas"")","-3 \, \log\left(x + 1\right) + \log\left(x - 1\right) + 2 \, \log\left(x\right)"," ",0,"-3*log(x + 1) + log(x - 1) + 2*log(x)","A",0
437,1,17,0,1.390737," ","integrate((4+x)/(x^3+4*x),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) - \frac{1}{2} \, \log\left(x^{2} + 4\right) + \log\left(x\right)"," ",0,"1/2*arctan(1/2*x) - 1/2*log(x^2 + 4) + log(x)","A",0
438,1,13,0,1.272466," ","integrate((2*x^3-x)/(x^4-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/2*log(x^4 - x^2 + 1)","A",0
439,1,17,0,1.533842," ","integrate((-3+x)/(x^3+3*x^2+2*x),x, algorithm=""fricas"")","-\frac{5}{2} \, \log\left(x + 2\right) + 4 \, \log\left(x + 1\right) - \frac{3}{2} \, \log\left(x\right)"," ",0,"-5/2*log(x + 2) + 4*log(x + 1) - 3/2*log(x)","A",0
440,1,9,0,1.189975," ","integrate((2+4*x)/(x^4+2*x^3+x^2),x, algorithm=""fricas"")","-\frac{2}{x^{2} + x}"," ",0,"-2/(x^2 + x)","A",0
441,1,17,0,1.421278," ","integrate((1+x)/(x^3+x^2-6*x),x, algorithm=""fricas"")","-\frac{2}{15} \, \log\left(x + 3\right) + \frac{3}{10} \, \log\left(x - 2\right) - \frac{1}{6} \, \log\left(x\right)"," ",0,"-2/15*log(x + 3) + 3/10*log(x - 2) - 1/6*log(x)","A",0
442,1,14,0,1.727511," ","integrate((x^3+4*x^2)/(x^3+x),x, algorithm=""fricas"")","x - \arctan\left(x\right) + 2 \, \log\left(x^{2} + 1\right)"," ",0,"x - arctan(x) + 2*log(x^2 + 1)","A",0
443,1,16,0,1.448138," ","integrate((2*x^3+x)/(x^4+x^2)^3,x, algorithm=""fricas"")","-\frac{1}{4 \, {\left(x^{8} + 2 \, x^{6} + x^{4}\right)}}"," ",0,"-1/4/(x^8 + 2*x^6 + x^4)","A",0
444,1,25,0,1.513487," ","integrate((b*x^3+a*x^2)/(d*x^3+c*x^2),x, algorithm=""fricas"")","\frac{b d x - {\left(b c - a d\right)} \log\left(d x + c\right)}{d^{2}}"," ",0,"(b*d*x - (b*c - a*d)*log(d*x + c))/d^2","A",0
445,1,4,0,1.490513," ","integrate((x^2+x)/(x^3-x^2-2*x),x, algorithm=""fricas"")","\log\left(x - 2\right)"," ",0,"log(x - 2)","A",0
446,1,25,0,1.652657," ","integrate((-5*x^2+1)/x^3/(x^2+1),x, algorithm=""fricas"")","\frac{6 \, x^{2} \log\left(x^{2} + 1\right) - 12 \, x^{2} \log\left(x\right) - 1}{2 \, x^{2}}"," ",0,"1/2*(6*x^2*log(x^2 + 1) - 12*x^2*log(x) - 1)/x^2","A",0
447,1,27,0,1.269862," ","integrate(2*x/(-1+x)/(x^2+5),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) - \frac{1}{6} \, \log\left(x^{2} + 5\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/3*sqrt(5)*arctan(1/5*sqrt(5)*x) - 1/6*log(x^2 + 5) + 1/3*log(x - 1)","A",0
448,1,15,0,1.157811," ","integrate((x^2+2)/(2+x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - 2 \, x + 6 \, \log\left(x + 2\right)"," ",0,"1/2*x^2 - 2*x + 6*log(x + 2)","A",0
449,1,21,0,1.455260," ","integrate(1/(-3+x)/(x^2+4),x, algorithm=""fricas"")","-\frac{3}{26} \, \arctan\left(\frac{1}{2} \, x\right) - \frac{1}{26} \, \log\left(x^{2} + 4\right) + \frac{1}{13} \, \log\left(x - 3\right)"," ",0,"-3/26*arctan(1/2*x) - 1/26*log(x^2 + 4) + 1/13*log(x - 3)","A",0
450,1,15,0,1.300649," ","integrate((3*x^6-2)/x/(2*x^6+5),x, algorithm=""fricas"")","\frac{19}{60} \, \log\left(2 \, x^{6} + 5\right) - \frac{2}{5} \, \log\left(x\right)"," ",0,"19/60*log(2*x^6 + 5) - 2/5*log(x)","A",0
451,1,9,0,1.330122," ","integrate((3+2*x)/(-2+x)/(5+x),x, algorithm=""fricas"")","\log\left(x^{2} + 3 \, x - 10\right)"," ",0,"log(x^2 + 3*x - 10)","A",0
452,1,12,0,1.476111," ","integrate(x^4/(x^4+5*x^2+4),x, algorithm=""fricas"")","x - \frac{8}{3} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"x - 8/3*arctan(1/2*x) + 1/3*arctan(x)","A",0
453,1,83,0,1.321312," ","integrate(1/(1+x)/(2+x)^2/(3+x)^3,x, algorithm=""fricas"")","\frac{18 \, x^{2} - 17 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)} \log\left(x + 3\right) + 16 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)} \log\left(x + 2\right) + {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)} \log\left(x + 1\right) + 100 \, x + 136}{8 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)}}"," ",0,"1/8*(18*x^2 - 17*(x^3 + 8*x^2 + 21*x + 18)*log(x + 3) + 16*(x^3 + 8*x^2 + 21*x + 18)*log(x + 2) + (x^3 + 8*x^2 + 21*x + 18)*log(x + 1) + 100*x + 136)/(x^3 + 8*x^2 + 21*x + 18)","B",0
454,1,8,0,1.393610," ","integrate(x/(x^2-1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{2} - 1\right)"," ",0,"1/2*log(x^2 - 1)","A",0
455,1,34,0,1.291593," ","integrate(1/(x^2-1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 1\right)} \log\left(x + 1\right) - {\left(x^{2} - 1\right)} \log\left(x - 1\right) - 2 \, x}{4 \, {\left(x^{2} - 1\right)}}"," ",0,"1/4*((x^2 - 1)*log(x + 1) - (x^2 - 1)*log(x - 1) - 2*x)/(x^2 - 1)","B",0
456,1,21,0,1.045434," ","integrate(x^2/(x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 1\right)} \arctan\left(x\right) - x}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*((x^2 + 1)*arctan(x) - x)/(x^2 + 1)","A",0
457,1,8,0,1.392667," ","integrate(1/(2+3*x),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(3 \, x + 2\right)"," ",0,"1/3*log(3*x + 2)","A",0
458,1,10,0,1.349797," ","integrate(1/(a^2+x^2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A",0
459,1,67,0,1.204943," ","integrate(1/(b*x^2+a),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{2 \, a b}, \frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{a b}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a))/(a*b), sqrt(a*b)*arctan(sqrt(a*b)*x/a)/(a*b)]","A",0
460,1,16,0,1.439676," ","integrate(1/(x^2-x+2),x, algorithm=""fricas"")","\frac{2}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x - 1\right)}\right)"," ",0,"2/7*sqrt(7)*arctan(1/7*sqrt(7)*(2*x - 1))","A",0
461,1,16,0,1.130333," ","integrate(x^2*(-x^2+4)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} - \frac{8}{5} x^{5} + \frac{16}{3} x^{3}"," ",0,"1/7*x^7 - 8/5*x^5 + 16/3*x^3","A",0
462,1,16,0,1.119357," ","integrate(x*(-x^3+1)^2,x, algorithm=""fricas"")","\frac{1}{8} x^{8} - \frac{2}{5} x^{5} + \frac{1}{2} x^{2}"," ",0,"1/8*x^8 - 2/5*x^5 + 1/2*x^2","A",0
463,1,15,0,1.302736," ","integrate((x^3+5*x^2-4)/x^2,x, algorithm=""fricas"")","\frac{x^{3} + 10 \, x^{2} + 8}{2 \, x}"," ",0,"1/2*(x^3 + 10*x^2 + 8)/x","A",0
464,1,30,0,1.258981," ","integrate((-1+x)/(3*x^2-4*x+3),x, algorithm=""fricas"")","-\frac{1}{15} \, \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} {\left(3 \, x - 2\right)}\right) + \frac{1}{6} \, \log\left(3 \, x^{2} - 4 \, x + 3\right)"," ",0,"-1/15*sqrt(5)*arctan(1/5*sqrt(5)*(3*x - 2)) + 1/6*log(3*x^2 - 4*x + 3)","A",0
465,1,12,0,0.969220," ","integrate((x^3+2)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} + x^{4} + 4 x"," ",0,"1/7*x^7 + x^4 + 4*x","A",0
466,1,9,0,1.280567," ","integrate((x^2-4)/(2+x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - 2 \, x"," ",0,"1/2*x^2 - 2*x","A",0
467,1,19,0,1.444293," ","integrate(1/(2+x)/(x^2+1),x, algorithm=""fricas"")","\frac{2}{5} \, \arctan\left(x\right) - \frac{1}{10} \, \log\left(x^{2} + 1\right) + \frac{1}{5} \, \log\left(x + 2\right)"," ",0,"2/5*arctan(x) - 1/10*log(x^2 + 1) + 1/5*log(x + 2)","A",0
468,1,19,0,2.123282," ","integrate(1/(1+x)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x + 1)","A",0
469,1,19,0,1.267845," ","integrate(x/(1+x)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x\right) + \frac{1}{4} \, \log\left(x^{2} + 1\right) - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) + 1/4*log(x^2 + 1) - 1/2*log(x + 1)","A",0
470,1,12,0,1.179306," ","integrate((x^2+2*x)/(1+x)^2,x, algorithm=""fricas"")","\frac{x^{2} + x + 1}{x + 1}"," ",0,"(x^2 + x + 1)/(x + 1)","A",0
471,1,16,0,1.191530," ","integrate((x^2-10)/(2*x^4+9*x^2+4),x, algorithm=""fricas"")","-\frac{3}{2} \, \sqrt{2} \arctan\left(\sqrt{2} x\right) + \arctan\left(\frac{1}{2} \, x\right)"," ",0,"-3/2*sqrt(2)*arctan(sqrt(2)*x) + arctan(1/2*x)","A",0
472,1,30,0,1.168758," ","integrate((31+5*x)/(3*x^2-4*x+11),x, algorithm=""fricas"")","\frac{103}{87} \, \sqrt{29} \arctan\left(\frac{1}{29} \, \sqrt{29} {\left(3 \, x - 2\right)}\right) + \frac{5}{6} \, \log\left(3 \, x^{2} - 4 \, x + 11\right)"," ",0,"103/87*sqrt(29)*arctan(1/29*sqrt(29)*(3*x - 2)) + 5/6*log(3*x^2 - 4*x + 11)","A",0
473,1,19,0,1.342454," ","integrate((x^3+x^2-2)/x^4,x, algorithm=""fricas"")","\frac{3 \, x^{3} \log\left(x\right) - 3 \, x^{2} + 2}{3 \, x^{3}}"," ",0,"1/3*(3*x^3*log(x) - 3*x^2 + 2)/x^3","A",0
474,1,15,0,0.903329," ","integrate((x^3+x+1)/x^2,x, algorithm=""fricas"")","\frac{x^{3} + 2 \, x \log\left(x\right) - 2}{2 \, x}"," ",0,"1/2*(x^3 + 2*x*log(x) - 2)/x","A",0
475,1,11,0,1.303499," ","integrate((x^2-2)/x/(x^2+2),x, algorithm=""fricas"")","\log\left(x^{2} + 2\right) - \log\left(x\right)"," ",0,"log(x^2 + 2) - log(x)","A",0
476,1,17,0,0.523808," ","integrate((-3+x)*(4*x^2-7),x, algorithm=""fricas"")","x^{4} - 4 x^{3} - \frac{7}{2} x^{2} + 21 x"," ",0,"x^4 - 4*x^3 - 7/2*x^2 + 21*x","A",0
477,1,19,0,1.462525," ","integrate((-2+7*x)^3,x, algorithm=""fricas"")","\frac{343}{4} x^{4} - 98 x^{3} + 42 x^{2} - 8 x"," ",0,"343/4*x^4 - 98*x^3 + 42*x^2 - 8*x","B",0
478,1,13,0,1.002726," ","integrate((4*x^2-7)/(3+2*x),x, algorithm=""fricas"")","x^{2} - 3 \, x + \log\left(2 \, x + 3\right)"," ",0,"x^2 - 3*x + log(2*x + 3)","A",0
479,1,18,0,1.315637," ","integrate((1+x)/(-1+x)/x^2,x, algorithm=""fricas"")","\frac{2 \, x \log\left(x - 1\right) - 2 \, x \log\left(x\right) + 1}{x}"," ",0,"(2*x*log(x - 1) - 2*x*log(x) + 1)/x","A",0
480,1,39,0,1.209799," ","integrate(1/(x^4+4*x^3+4*x^2),x, algorithm=""fricas"")","\frac{{\left(x^{2} + 2 \, x\right)} \log\left(x + 2\right) - {\left(x^{2} + 2 \, x\right)} \log\left(x\right) - 2 \, x - 2}{4 \, {\left(x^{2} + 2 \, x\right)}}"," ",0,"1/4*((x^2 + 2*x)*log(x + 2) - (x^2 + 2*x)*log(x) - 2*x - 2)/(x^2 + 2*x)","A",0
481,1,15,0,1.578461," ","integrate((x^2+1)/(1+x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - x + 2 \, \log\left(x + 1\right)"," ",0,"1/2*x^2 - x + 2*log(x + 1)","A",0
482,1,20,0,1.031380," ","integrate((x^3-3*x^2+3*x-1)/x^2,x, algorithm=""fricas"")","\frac{x^{3} - 6 \, x^{2} + 6 \, x \log\left(x\right) + 2}{2 \, x}"," ",0,"1/2*(x^3 - 6*x^2 + 6*x*log(x) + 2)/x","A",0
483,-2,0,0,0.000000," ","integrate((x+3/2-1/2*37^(1/2))*(x+3/2+1/2*37^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: SyntaxError}"," ",0,"Exception raised: SyntaxError >> Malformed expression","F(-2)",0
484,1,46,0,1.136963," ","integrate((2*x^3+3*x^2+4)/(1+x)^4,x, algorithm=""fricas"")","\frac{9 \, x^{2} + 6 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} \log\left(x + 1\right) + 18 \, x + 4}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}"," ",0,"1/3*(9*x^2 + 6*(x^3 + 3*x^2 + 3*x + 1)*log(x + 1) + 18*x + 4)/(x^3 + 3*x^2 + 3*x + 1)","B",0
485,1,15,0,0.870264," ","integrate(x/(1+x)^2/(x^2+1),x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} \arctan\left(x\right) + 1}{2 \, {\left(x + 1\right)}}"," ",0,"1/2*((x + 1)*arctan(x) + 1)/(x + 1)","A",0
486,1,25,0,1.409428," ","integrate((x^4-x^3+3*x^2-2*x+7)/(2+x),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} - x^{3} + \frac{9}{2} \, x^{2} - 20 \, x + 47 \, \log\left(x + 2\right)"," ",0,"1/4*x^4 - x^3 + 9/2*x^2 - 20*x + 47*log(x + 2)","A",0
487,1,12,0,1.241947," ","integrate((x^3-1)/(-1+x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + x"," ",0,"1/3*x^3 + 1/2*x^2 + x","A",0
488,1,25,0,1.240694," ","integrate((2+2*x)/(-1+x)^3/(x^2+1),x, algorithm=""fricas"")","\frac{{\left(x^{2} - 2 \, x + 1\right)} \arctan\left(x\right) + x - 2}{x^{2} - 2 \, x + 1}"," ",0,"((x^2 - 2*x + 1)*arctan(x) + x - 2)/(x^2 - 2*x + 1)","A",0
489,1,190,0,1.325442," ","integrate(1/(b*x+c*(e*x+d)^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, c^{2} e^{4} x^{2} + 2 \, c^{2} d^{2} e^{2} + 4 \, b c d e + b^{2} + 2 \, {\left(2 \, c^{2} d e^{3} + b c e^{2}\right)} x - \sqrt{4 \, b c d e + b^{2}} {\left(2 \, c e^{2} x + 2 \, c d e + b\right)}}{c e^{2} x^{2} + c d^{2} + {\left(2 \, c d e + b\right)} x}\right)}{\sqrt{4 \, b c d e + b^{2}}}, \frac{2 \, \sqrt{-4 \, b c d e - b^{2}} \arctan\left(\frac{\sqrt{-4 \, b c d e - b^{2}} {\left(2 \, c e^{2} x + 2 \, c d e + b\right)}}{4 \, b c d e + b^{2}}\right)}{4 \, b c d e + b^{2}}\right]"," ",0,"[log((2*c^2*e^4*x^2 + 2*c^2*d^2*e^2 + 4*b*c*d*e + b^2 + 2*(2*c^2*d*e^3 + b*c*e^2)*x - sqrt(4*b*c*d*e + b^2)*(2*c*e^2*x + 2*c*d*e + b))/(c*e^2*x^2 + c*d^2 + (2*c*d*e + b)*x))/sqrt(4*b*c*d*e + b^2), 2*sqrt(-4*b*c*d*e - b^2)*arctan(sqrt(-4*b*c*d*e - b^2)*(2*c*e^2*x + 2*c*d*e + b)/(4*b*c*d*e + b^2))/(4*b*c*d*e + b^2)]","A",0
490,1,240,0,0.773362," ","integrate(1/(a+b*x+c*(e*x+d)^2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, c^{2} e^{4} x^{2} + 4 \, b c d e + 2 \, {\left(c^{2} d^{2} - a c\right)} e^{2} + b^{2} + 2 \, {\left(2 \, c^{2} d e^{3} + b c e^{2}\right)} x - \sqrt{4 \, b c d e - 4 \, a c e^{2} + b^{2}} {\left(2 \, c e^{2} x + 2 \, c d e + b\right)}}{c e^{2} x^{2} + c d^{2} + {\left(2 \, c d e + b\right)} x + a}\right)}{\sqrt{4 \, b c d e - 4 \, a c e^{2} + b^{2}}}, -\frac{2 \, \sqrt{-4 \, b c d e + 4 \, a c e^{2} - b^{2}} \arctan\left(-\frac{\sqrt{-4 \, b c d e + 4 \, a c e^{2} - b^{2}} {\left(2 \, c e^{2} x + 2 \, c d e + b\right)}}{4 \, b c d e - 4 \, a c e^{2} + b^{2}}\right)}{4 \, b c d e - 4 \, a c e^{2} + b^{2}}\right]"," ",0,"[log((2*c^2*e^4*x^2 + 4*b*c*d*e + 2*(c^2*d^2 - a*c)*e^2 + b^2 + 2*(2*c^2*d*e^3 + b*c*e^2)*x - sqrt(4*b*c*d*e - 4*a*c*e^2 + b^2)*(2*c*e^2*x + 2*c*d*e + b))/(c*e^2*x^2 + c*d^2 + (2*c*d*e + b)*x + a))/sqrt(4*b*c*d*e - 4*a*c*e^2 + b^2), -2*sqrt(-4*b*c*d*e + 4*a*c*e^2 - b^2)*arctan(-sqrt(-4*b*c*d*e + 4*a*c*e^2 - b^2)*(2*c*e^2*x + 2*c*d*e + b)/(4*b*c*d*e - 4*a*c*e^2 + b^2))/(4*b*c*d*e - 4*a*c*e^2 + b^2)]","A",0
491,1,247,0,1.508664," ","integrate(x^2/(1+(x^2-1)^2),x, algorithm=""fricas"")","\frac{1}{16} \cdot 2^{\frac{1}{4}} \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} \log\left(2^{\frac{3}{4}} x \sqrt{2 \, \sqrt{2} + 4} + 2 \, x^{2} + 2 \, \sqrt{2}\right) - \frac{1}{16} \cdot 2^{\frac{1}{4}} \sqrt{2 \, \sqrt{2} + 4} {\left(\sqrt{2} - 2\right)} \log\left(-2^{\frac{3}{4}} x \sqrt{2 \, \sqrt{2} + 4} + 2 \, x^{2} + 2 \, \sqrt{2}\right) - \frac{1}{4} \cdot 2^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4} \arctan\left(-\frac{1}{2} \cdot 2^{\frac{3}{4}} x \sqrt{2 \, \sqrt{2} + 4} + \frac{1}{2} \cdot 2^{\frac{1}{4}} \sqrt{2^{\frac{3}{4}} x \sqrt{2 \, \sqrt{2} + 4} + 2 \, x^{2} + 2 \, \sqrt{2}} \sqrt{2 \, \sqrt{2} + 4} - \sqrt{2} - 1\right) - \frac{1}{4} \cdot 2^{\frac{3}{4}} \sqrt{2 \, \sqrt{2} + 4} \arctan\left(-\frac{1}{2} \cdot 2^{\frac{3}{4}} x \sqrt{2 \, \sqrt{2} + 4} + \frac{1}{2} \cdot 2^{\frac{1}{4}} \sqrt{-2^{\frac{3}{4}} x \sqrt{2 \, \sqrt{2} + 4} + 2 \, x^{2} + 2 \, \sqrt{2}} \sqrt{2 \, \sqrt{2} + 4} + \sqrt{2} + 1\right)"," ",0,"1/16*2^(1/4)*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2)*log(2^(3/4)*x*sqrt(2*sqrt(2) + 4) + 2*x^2 + 2*sqrt(2)) - 1/16*2^(1/4)*sqrt(2*sqrt(2) + 4)*(sqrt(2) - 2)*log(-2^(3/4)*x*sqrt(2*sqrt(2) + 4) + 2*x^2 + 2*sqrt(2)) - 1/4*2^(3/4)*sqrt(2*sqrt(2) + 4)*arctan(-1/2*2^(3/4)*x*sqrt(2*sqrt(2) + 4) + 1/2*2^(1/4)*sqrt(2^(3/4)*x*sqrt(2*sqrt(2) + 4) + 2*x^2 + 2*sqrt(2))*sqrt(2*sqrt(2) + 4) - sqrt(2) - 1) - 1/4*2^(3/4)*sqrt(2*sqrt(2) + 4)*arctan(-1/2*2^(3/4)*x*sqrt(2*sqrt(2) + 4) + 1/2*2^(1/4)*sqrt(-2^(3/4)*x*sqrt(2*sqrt(2) + 4) + 2*x^2 + 2*sqrt(2))*sqrt(2*sqrt(2) + 4) + sqrt(2) + 1)","A",0
492,1,65,0,1.286896," ","integrate((30*x^9-8*x^7-15*x^6-140*x^5+34*x^4-12*x^3-5*x^2+36*x-15)/(x^4+x+3)^4,x, algorithm=""fricas"")","-\frac{5 \, x^{6} - x^{4} - 5 \, x^{2} + 3 \, x - 2}{x^{12} + 3 \, x^{9} + 9 \, x^{8} + 3 \, x^{6} + 18 \, x^{5} + 27 \, x^{4} + x^{3} + 9 \, x^{2} + 27 \, x + 27}"," ",0,"-(5*x^6 - x^4 - 5*x^2 + 3*x - 2)/(x^12 + 3*x^9 + 9*x^8 + 3*x^6 + 18*x^5 + 27*x^4 + x^3 + 9*x^2 + 27*x + 27)","A",0
493,1,65,0,1.292532," ","integrate(3*(19*x^3+120*x^2+228*x-47)/(x^4+x+3)^4+(-8*x^3-75*x^2-320*x+42)/(x^4+x+3)^3+30*x/(x^4+x+3)^2,x, algorithm=""fricas"")","-\frac{5 \, x^{6} - x^{4} - 5 \, x^{2} + 3 \, x - 2}{x^{12} + 3 \, x^{9} + 9 \, x^{8} + 3 \, x^{6} + 18 \, x^{5} + 27 \, x^{4} + x^{3} + 9 \, x^{2} + 27 \, x + 27}"," ",0,"-(5*x^6 - x^4 - 5*x^2 + 3*x - 2)/(x^12 + 3*x^9 + 9*x^8 + 3*x^6 + 18*x^5 + 27*x^4 + x^3 + 9*x^2 + 27*x + 27)","B",0
494,1,65,0,1.356647," ","integrate((-30*x^5+4*x^3+10*x-3)/(x^4+x+3)^3-3*(4*x^3+1)*(-5*x^6+x^4+5*x^2-3*x+2)/(x^4+x+3)^4,x, algorithm=""fricas"")","-\frac{5 \, x^{6} - x^{4} - 5 \, x^{2} + 3 \, x - 2}{x^{12} + 3 \, x^{9} + 9 \, x^{8} + 3 \, x^{6} + 18 \, x^{5} + 27 \, x^{4} + x^{3} + 9 \, x^{2} + 27 \, x + 27}"," ",0,"-(5*x^6 - x^4 - 5*x^2 + 3*x - 2)/(x^12 + 3*x^9 + 9*x^8 + 3*x^6 + 18*x^5 + 27*x^4 + x^3 + 9*x^2 + 27*x + 27)","B",0
