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Thread: easy integration

  1. November 5th 2008, 05:45 AM #1
    wantanswers
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    easy integration

    <br /> \int^{e^{y}}_{0}e^{-x}dx
    Last edited by wantanswers; November 5th 2008 at 09:25 AM.
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  2. November 5th 2008, 06:34 AM #2
    galactus
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    Sure there's not a typo?. You have a dependent limit.

    \int_{0}^{\overbrace{\frac{1}{e^{y}}}^{\text{here} }}\left[1-\frac{1}{e^{y}}\right]dy

    Unless I am misunderstanding.
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  3. November 5th 2008, 07:02 AM #3
    toraj58
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    \int^{e^{-y}}_{0}1-e^{-y}dy = y + e^{-y}|_0^{e^{-y}}

    = e^{-y} + e^{e^y} - 1
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