Zeta + ln = Fun!

Calculus Level 4

\[\displaystyle \large \int_{0}^{1} \dfrac{x (\ln x)^2}{2(1-x)^{2}} dx = \zeta (p) -\zeta (q)\]

Find the value of \(p+q\).

Notation: \(\zeta (x) \) denotes the Riemann zeta function.

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