\[ \int \frac {-486 x-486 x^2+324 x^3+468 x^4+162 x^5+18 x^6+\left (162 x+324 x^2+216 x^3+60 x^4+6 x^5\right ) \log (5)+\left (648 x^4+648 x^5+216 x^6+24 x^7\right ) \log \left (\frac {1}{2} (3-3 x-\log (5))\right )+\left (-1296 x^3-324 x^4+972 x^5+564 x^6+84 x^7+\left (432 x^3+540 x^4+216 x^5+28 x^6\right ) \log (5)\right ) \log ^2\left (\frac {1}{2} (3-3 x-\log (5))\right )+\left (648 x^6+432 x^7+72 x^8\right ) \log ^3\left (\frac {1}{2} (3-3 x-\log (5))\right )+\left (-972 x^5+216 x^6+612 x^7+144 x^8+\left (324 x^5+252 x^6+48 x^7\right ) \log (5)\right ) \log ^4\left (\frac {1}{2} (3-3 x-\log (5))\right )+\left (216 x^8+72 x^9\right ) \log ^5\left (\frac {1}{2} (3-3 x-\log (5))\right )+\left (-288 x^7+180 x^8+108 x^9+\left (96 x^7+36 x^8\right ) \log (5)\right ) \log ^6\left (\frac {1}{2} (3-3 x-\log (5))\right )+24 x^{10} \log ^7\left (\frac {1}{2} (3-3 x-\log (5))\right )+\left (-30 x^9+30 x^{10}+10 x^9 \log (5)\right ) \log ^8\left (\frac {1}{2} (3-3 x-\log (5))\right )}{-3+3 x+\log (5)} \, dx \]
Optimal antiderivative \[ \left (x +x^{2} \ln \left (-\frac {\ln \left (5\right )}{2}-\frac {3 x}{2}+\frac {3}{2}\right )^{2}+3\right )^{4} x^{2} \]
command
integrate(((10*x^9*log(5)+30*x^10-30*x^9)*log(-1/2*log(5)-3/2*x+3/2)^8+24*x^10*log(-1/2*log(5)-3/2*x+3/2)^7+((36*x^8+96*x^7)*log(5)+108*x^9+180*x^8-288*x^7)*log(-1/2*log(5)-3/2*x+3/2)^6+(72*x^9+216*x^8)*log(-1/2*log(5)-3/2*x+3/2)^5+((48*x^7+252*x^6+324*x^5)*log(5)+144*x^8+612*x^7+216*x^6-972*x^5)*log(-1/2*log(5)-3/2*x+3/2)^4+(72*x^8+432*x^7+648*x^6)*log(-1/2*log(5)-3/2*x+3/2)^3+((28*x^6+216*x^5+540*x^4+432*x^3)*log(5)+84*x^7+564*x^6+972*x^5-324*x^4-1296*x^3)*log(-1/2*log(5)-3/2*x+3/2)^2+(24*x^7+216*x^6+648*x^5+648*x^4)*log(-1/2*log(5)-3/2*x+3/2)+(6*x^5+60*x^4+216*x^3+324*x^2+162*x)*log(5)+18*x^6+162*x^5+468*x^4+324*x^3-486*x^2-486*x)/(log(5)+3*x-3),x, algorithm="maxima")
Maxima 5.46 SBCL 2.0.1.debian via sagemath 9.6 output
\[ \text {output too large to display} \]
Maxima 5.44 via sagemath 9.3 output \[ \text {Timed out} \]_____________________________________________________