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experimentX

  • 2 years ago

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

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  1. bhaweshwebmaster
    • 2 years ago
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    IS your question right? @experimentX ... U sure that it is e^ax at one place and e^x at the other...??

  2. CliffSedge
    • 2 years ago
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    mmm, \huge tags...

  3. hartnn
    • 2 years ago
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    *

  4. experimentX
    • 2 years ago
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    contour integrals ... complex analysis.

  5. bhaweshwebmaster
    • 2 years ago
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    Okay..

  6. mukushla
    • 2 years ago
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    *

  7. experimentX
    • 2 years ago
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    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 \[ \int_0^\infty {u^{a-1} \over 1 + u} \;du\]

  8. experimentX
    • 2 years ago
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    interesting problem http://math.stackexchange.com/questions/110494/possibility-to-simplify-sum-limits-k-infty-infty-frac-left

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