\[ \int \frac {-40 x-22 x^2+2 x^3+\left (8 x+6 x^2\right ) \log \left (x^3\right )+\left (200+134 x-4 x^2+\left (-80-52 x+2 x^2\right ) \log \left (x^3\right )+(8+6 x) \log ^2\left (x^3\right )\right ) \log \left (32 x+16 x^2+2 x^3\right )+\left (-120-30 x+(24+6 x) \log \left (x^3\right )\right ) \log ^2\left (32 x+16 x^2+2 x^3\right )}{4 x+x^2} \, dx \]
Optimal antiderivative \[ \left (\left (\ln \left (x^{3}\right )-5\right ) \ln \left (2 \left (4+x \right )^{2} x \right )+x \right )^{2} \]
command
int((((24+6*x)*ln(x^3)-30*x-120)*ln(2*x^3+16*x^2+32*x)^2+((6*x+8)*ln(x^3)^2+(2*x^2-52*x-80)*ln(x^3)-4*x^2+134*x+200)*ln(2*x^3+16*x^2+32*x)+(6*x^2+8*x)*ln(x^3)+2*x^3-22*x^2-40*x)/(x^2+4*x),x,method=_RETURNVERBOSE)
Maple 2022.1 output
| method | result | size |
| risch | \(\text {Expression too large to display}\) | \(17841276\) |
Maple 2021.1 output
hanged__________________________________________________________________________________