Hi. I tried to evaluate a definite integral of [itex]x^x[/itex] from [itex]0[/itex] to [itex]1[/itex] and I have reached following sum:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_0^1 x^x = \sum_{n=1}^{\infty} \frac{(-n)^{1-n}}{n}[/tex]

Is there an expression of this sum, for example in terms of Meijer G-function? I tried to find [itex]x^x[/itex] as G-function form to integrate it but unsuccessful.

Thanks in advance.

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# Finding non trivial sum

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