I'm just curious to find how what this integral is, but more importantly how it's computed. I've looked at the method that the sophomore's dream integrals are computed with and they do not seem to work here, I get to a step where I'm evaluating a sum from x=0 to x=[tex]\infty[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

Here's the integral, and I've tried it with CAS and it oddly appears to be ~1.995456≈2:

[tex]\int^\infty_0{x}^{-x}dx[/tex]

Thanks in advanced.

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# Integral x^-x.

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