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

1. Nov 18, 2008

Einsling

Hi
Could you please tell me how to integrate it? Thanks ~~

$$\int_{-\infty}^{\infty} \frac {e^{i\omega t}} {1+\frac{t^2}{\tau^2}} dt$$

where i is imaginary unit, $$\omega, \tau$$ are positive real,

Last edited: Nov 18, 2008
2. Nov 18, 2008

maze

Complex contour integration should be good. Are you familiar with the residue theorem from complex variables?

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