\[ \int \frac {120 x^2-120 x \log \left (\frac {x}{4}\right )+120 x \log ^2\left (\frac {x}{4}\right )}{4 x^2-4 x^3+x^4+\left (4 x-2 x^2\right ) \log ^2\left (\frac {x}{4}\right )+\log ^4\left (\frac {x}{4}\right )} \, dx \]
Optimal antiderivative \[ \frac {60 x}{\frac {\ln \left (\frac {x}{4}\right )^{2}}{x}-x +2} \]
command
Integrate[(120*x^2 - 120*x*Log[x/4] + 120*x*Log[x/4]^2)/(4*x^2 - 4*x^3 + x^4 + (4*x - 2*x^2)*Log[x/4]^2 + Log[x/4]^4),x]
Mathematica 13.1 output
\[ \text {\$Aborted} \]
Mathematica 12.3 output
\[ -\frac {120 x^2}{2 (-2+x) x-2 \log ^2\left (\frac {x}{4}\right )} \]