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Math Help - easy integration

  1. #1
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    easy integration

    <br />
\int^{e^{y}}_{0}e^{-x}dx
    Last edited by wantanswers; November 5th 2008 at 10:25 AM.
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  2. #2
    Eater of Worlds
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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. #3
    Junior Member toraj58's Avatar
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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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