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experimentX
 4 years ago
Evaluate:
\[ \huge \int_{\infty}^\infty {e^{ax} \over 1 + e^x} \; dx\]
EDIT:: 0 < a < 1
experimentX
 4 years ago
Evaluate: \[ \huge \int_{\infty}^\infty {e^{ax} \over 1 + e^x} \; dx\] EDIT:: 0 < a < 1

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0IS your question right? @experimentX ... U sure that it is e^ax at one place and e^x at the other...??

experimentX
 4 years ago
Best ResponseYou've already chosen the best response.0contour integrals ... complex analysis.

experimentX
 4 years ago
Best ResponseYou've already chosen the best response.0let 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 \[ \int_0^\infty {u^{a1} \over 1 + u} \;du\]

experimentX
 4 years ago
Best ResponseYou've already chosen the best response.0interesting problem http://math.stackexchange.com/questions/110494/possibilitytosimplifysumlimitskinftyinftyfracleft
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