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Question Number 164125 by HongKing last updated on 14/Jan/22

$$\mathrm{Prove}\mathrm{that}:$$$$\underset{0}{\stackrel{\frac{\mathit{\pi }}{2}}{\int }}\underset{0}{\stackrel{1}{\int }}\arctan \left(\frac{\sin \mathbf{x}}{\mathrm{u}+\cos \mathbf{x}}\right)\mathrm{dudx}=\frac{{\pi }^2}{16}+\frac{3}{2}\ln \left(2\right)-\frac{\pi }{4}$$

Answered by Kamel last updated on 14/Jan/22

Commented by HongKing last updated on 15/Jan/22

$$\mathrm{thank}\mathrm{you}\mathrm{so}\mathrm{much}\mathrm{my}\mathrm{dear}\mathrm{Sir}\mathrm{cool}$$

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