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Integral of e^x / (1+x^2)

  1. Nov 18, 2008 #1
    Could you please tell me how to integrate it? Thanks ~~

    [tex]\int_{-\infty}^{\infty} \frac {e^{i\omega t}} {1+\frac{t^2}{\tau^2}} dt[/tex]

    where i is imaginary unit, [tex]\omega, \tau[/tex] are positive real,
    Last edited: Nov 18, 2008
  2. jcsd
  3. Nov 18, 2008 #2
    Complex contour integration should be good. Are you familiar with the residue theorem from complex variables?
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