# I can't think of a good title for this

Calculus Level 5

$\large \displaystyle \int_{0}^{1} \int_{0}^{1} \dfrac{\ln^{2} (xy)}{1-xy} \, dx \, dy$

If the above integral can be expressed in the form $$\dfrac{a \pi^{b}}{c}$$, where $$a$$ and $$c$$ are positive coprime integers, find $$a + b + c$$.

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