550 Followers Problem

Calculus Level 4

0πsin4x(1cosx)(1+cosx)2dx=ABC\large{\displaystyle \int^{\pi}_{0} \frac{\sin^4 x \sqrt{(1-\cos x)}}{(1+\cos x)^2} dx=\frac{A\sqrt{B}}{C}}

where A,CA,C are co prime integers and BB is square free

Find A+B+CA+B+C

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