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∫0π4(cos2θ)32cosθ dθ\large\displaystyle \int_{0}^{\frac{\pi}{4}} (\cos 2 \theta)^{\frac{3}{2}} \cos \theta \, d \theta∫04π(cos2θ)23cosθdθ
Given the integral above equals to ABCπ \dfrac{A}{B \sqrt{C}} \piBCAπ where A,B,CA,B,CA,B,C are positive integers with A,BA,BA,B are coprime and CCC square-free. Find B−A−CB-A-CB−A−C.
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