Here's the question you clicked on:
experimentX
Evaluate: \[ \huge \int_{-\infty}^\infty {e^{ax} \over 1 + e^x} \; dx\] EDIT:: 0 < a < 1
IS your question right? @experimentX ... U sure that it is e^ax at one place and e^x at the other...??
contour integrals ... complex analysis.
let e^x = u, -inf ->0 +inf -> +inf dx = u^-1 du the whole problem reduces to which is the special case of my previous problem \[ \int_0^\infty {u^{a-1} \over 1 + u} \;du\]
interesting problem http://math.stackexchange.com/questions/110494/possibility-to-simplify-sum-limits-k-infty-infty-frac-left