# Is that note of any use?

Calculus Level 5

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

The above integral is equal to $$\dfrac{-a\pi^b}{c}$$ for positive integers $$a,b,c$$, for positive integers $$a,b$$ and $$c$$ with $$a$$ and $$c$$ coprime. Evaluate $$(a+b+c)^2$$.

Note

You are given that $$\zeta(2) = \dfrac{\pi^2}{6}$$.

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