How to Integrate e^x / (1+x^2) with Complex Contour Integration?

Einsling · Nov 18, 2008

Hi
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,

maze · Nov 18, 2008

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

How to Integrate e^x / (1+x^2) with Complex Contour Integration?

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How to Integrate e^x / (1+x^2) with Complex Contour Integration?

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