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Thread: volume problem

  1. Dec 9th 2007, 07:45 AM #1
    akhayoon
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    volume problem

    find the region by rotating about the y-axis

    y=e^{-x^2}~~~x-axis~~~~~x=0~~~~and ~~x=1

    I was thinking

    v=2pix\int_{0}^{1}e^{-x^2}
    Last edited by akhayoon; Dec 9th 2007 at 03:25 PM. Reason: typo
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  2. Dec 9th 2007, 03:26 PM #2
    akhayoon
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    but is that enough to bound the entire region or do I need another function?
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  3. Dec 9th 2007, 03:43 PM #3
    galactus
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    You're on the right track, except that x belongs inside the integral.

    2{\pi}\int_{0}^{1}xe^{-x^{2}}dx
    Last edited by galactus; Nov 24th 2008 at 05:38 AM.
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