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CleoBench: Can Fable mathematically prove Cleo's integrals?(math.stackexchange.com)

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Link preview Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \mathrm dx$ I need help with this integral: $$I=\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2x^2+2x+1}{2x^2-2x+1}\right)\mathrm{d}x$$ The integrand graph looks like this: $\hspace{1in}$ The approxim... Mathematics Stack Exchange · math.stackexchange.com
Cleo Bench: independently checked mathematical derivations for Cleo's Math Stack Exchange problems.

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