# Roaring Integral!

Calculus Level 5

$\large \displaystyle \int_{0}^{\pi} \dfrac{1}{(5-3\cos x)^3} dx = \dfrac{\alpha \pi}{\beta}$

In the above integral, if $$\alpha$$ and $$\beta$$ are co- prime positive integers, then find $$\alpha + \beta$$ .

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