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Math Help - how did u calculate this integral

  1. #1
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    how did u calculate this integral

    wait. my question has been changed:

    Use the Riemann-Lebesgue Lemma to get the asymptotic expansion of :

      I(m)=\int_{a}^{\infty}{f(t)cos(mt)dt} \ \ \ \ as \ \ \ \ m\rightarrow\infty
    Last edited by pengchao1024; November 18th 2009 at 04:38 PM.
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  2. #2
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    Quote Originally Posted by pengchao1024 View Post
     \int_{-\infty}^{\infty}{e^{-x\sqrt{3} r^{2}}dr} \ \ \ \ \ \ \ \ as \ \ \ \ r\rightarrow\infty
    Is it meant to be  \int_{-\infty}^{\infty}{e^{-x\sqrt{3} r^{2}}d{\color{red}x}} \ \ \ \ \ \ \ \ as \ \ \ \ r\rightarrow\infty ?
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