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∫0π1(5−3cosx)3 dx=απβ\large \displaystyle \int_{0}^{\pi} \dfrac{1}{(5-3\cos x)^3}\, dx = \dfrac{\alpha \pi}{\beta}∫0π(5−3cosx)31dx=βαπ
In the above integral, if α\alphaα and β\betaβ are coprime positive integers, then find α+β\alpha + \betaα+β .
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