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Question Number 211949 by Spillover last updated on 25/Sep/24

Answered by MathematicalUser2357 last updated on 26/Sep/24

$$\mathrm{Thanks}\mathrm{for}\mathrm{the}\mathrm{integration}\mathrm{idea}!$$$${\int }_{-1}^1\frac{1}{x}\sqrt{\frac{1+x}{1-x}}\ln \left(\frac{{ax}^2+\sqrt{2a}x+1}{{ax}^2-\sqrt{2a}x+1}\right)dx=4\pi {\cot }^{-1}\sqrt{\frac{\sqrt{a^2+1}+1}{a}}$$

Commented by MathematicalUser2357 last updated on 27/Sep/24

$$\mathrm{idk}$$

Commented by Spillover last updated on 26/Sep/24

$$trytosolve$$

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