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Question Number 162859 by HongKing last updated on 01/Jan/22

$$\mathrm{Prove}\mathrm{that}:$$$$\underset{0}{\stackrel{\frac{\mathit{\pi }}{2}}{\int }}\frac{{\mathrm{e}}^{\mathbf{cos}2\mathbf{x}}\cdot \sin (\mathrm{x}+\sin 2\mathrm{x})}{\sin \mathrm{x}}\mathrm{dx}=\frac{\pi e}{2}$$

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