# Who's up to the challenge? 62

Calculus Level 5

$\int _{ 0 }^{ 1 }{ \int _{ 0 }^{ 1 }{ \dfrac { (\ln { } { xy })^4 }{ (1+xy)^{ 2 } }\, dx \; dy } } =\dfrac { A }{ B } \zeta (C)$

If the equation above holds true for positive integers $$A,B$$ and $$C$$, where $$A$$ and $$B$$ are coprime, find $$A+B+C$$.

Notation: $$\zeta(\cdot)$$ denotes the Riemann zeta function.

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