It's formula #686 of Zwillinger's book "CRC Standard Mathematical Tables and Formulae" 31-st edition, 5-th chapter.(adsbygoogle = window.adsbygoogle || []).push({});

He claims that

[tex] \int_{0}^{1} \frac{dx}{\sqrt{\ln\left(\ln\frac{1}{x}\right)}} =\sqrt{\pi} [/tex].

Is it correct...? And if so, how does one find/prove something like that...?

Daniel.

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# Homework Help: Weird Integral

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