\[\begin{equation} \sum_{n=1}^\infty\int_0^1 \frac{x^{n-1}\ln^2(x)\ln(1-x)}{n^2} \,dx=-\frac{\pi^{\large a}}{b} \end{equation}\]
Find \(\,\large a+b\,\) for the following problem
by
Anastasiya Romanova
