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Math Help - Antiderivative of an Exponential

  1. #1
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    Antiderivative of an Exponential

    Hi all,

    I know that \int1/e^{\frac{1}{2}y}dy=-2e^{\frac{-y}{2}}

    but I don't know how it's done?

    I can integrate the denominator to get 2e^{\frac{1}{2}y}

    but since it's under the "1" I've not seen this before, what rules does it use?

    Many thanks.
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  2. #2
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    re: Antiderivative of an Exponential

    \displaystyle \frac{1}{e^{\frac{1}{2}y}} = e^{\frac{-y}{2}}
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  3. #3
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    re: Antiderivative of an Exponential

    Many thanks, once again my rules for powers have let me down.
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