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Question Number 162876 by HongKing last updated on 01/Jan/22

$$\mathrm{Prove}\mathrm{that}:$$$$\underset{0}{\stackrel{\frac{\mathit{\pi }}{2}}{\int }}(\mathrm{xcot}\mathbf{x}\cdot {\mathrm{lncos}}^2\mathbf{x}+{\ln }^2\cos \mathbf{x})\mathrm{dx}=\frac{{\pi }^3}{24}$$

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