this question doesn't seem tough but i can't find anything like it.(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\int\frac{e^{ax}}{1+e^{x}}dx[/itex] along the real line (a is between 1 and 0).

I know this is a complex analysis question, so i took the complex integral (along a semicircle where the diameter is the real numbers). by residue theorem, this integral is (2(Pi)i)*[sum of residues].

But now I am stuck, how do i get just the line integral on the real line, given the integral in the closed complex circle?

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# Complex analysis question: can't find similar question on internet

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