# A calculus problem by Kishore S Shenoy

Calculus Level 3

$\large\int_0^\pi \dfrac{x\sin x}{1+\cos^2x}\, dx$

If the above integral can be written as $$\dfrac {A\pi^B}C$$, where $$A$$, $$B$$ and $$C$$ are positive integers with $$A$$ and $$C$$ being coprime integers. Find $$A+B+C$$.

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