# Paneer Definite Masala 12

Calculus Level 4

$\large \int_{-\pi}^{\pi} \dfrac{2x (1+\sin x)}{1+ \cos^2 x} \,dx$

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

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