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Dirac delta functions integration

  1. Dec 3, 2006 #1
    I can't figure out how to integrate this:

    \int_{0}^{\infty} \frac{x}{\sqrt{m^2+x^2}}sin(kx)sin(t\sqrt{m^2+x^2}) dx

    m, k and t are constants.

    The book has for m = 0, the solution is some dirac delta functions.
    Last edited: Dec 3, 2006
  2. jcsd
  3. Dec 3, 2006 #2


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    Hmm..I doubt you can find an exact solution for this.

    At first glance, the stationary phase approximation might yield some result.
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