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Prove one(!) of the following, Part 33.333333333333

DreamWeaver

Well-known member
Sep 16, 2013
337
Problem 5:


[tex]\int_0^{\infty}\frac{\log(1-a^2\sin^2 x)}{x}\,dx=\text{Li}_2(a)-\text{Li}_2(-a)[/tex]