# Who's up to the challenge? 65

Calculus Level 5

$\large \int _{ 0 }^{ \pi /2 }{ \dfrac { { x }^{ 2 } }{ \sin { x } } \, dx } =A\pi G-\dfrac { B }{ C } \zeta (D)$

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

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