$$I=\int\limits_0^1\dfrac{x^2-1}{\ln x}\mathrm dx$$
I tried numerous substitutions but nothing seems to work.. any ideas ???!
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2$$\int_0^1\frac{x^\alpha-1}{\ln x}\ dx=\ln(\alpha+1)$$ – Tunk-Fey Sep 10 '14 at 13:31
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@Tunk-Fey. Could you elaborate, please. Thanks. – Claude Leibovici Sep 10 '14 at 13:33
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@ClaudeLeibovici Just click the cited link. – Tunk-Fey Sep 10 '14 at 13:34
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@Tunk-Fey. Thanks (I did not "see" the link - I am almost blind). Cheers :-) – Claude Leibovici Sep 10 '14 at 13:36
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1Haha, Feynman's infamous trick !!! Didn't expect to see this here +1 @Tunk-Fey – Victor Sep 10 '14 at 13:37
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@ClaudeLeibovici It's OK. I think it's my fault since the cited link is too vague. :) – Tunk-Fey Sep 10 '14 at 13:38