# $\int_{-1}^{1}\exp(-at^2)/t^2 dt$ using residue theorem

How to calculate $$\int_{-1}^{1}\frac{e^{-at^2}}{t^2}dt$$ where $a>0$, using residue theorem?

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$\rm{d}t$ of course –  zar Oct 24 '12 at 22:52

$$\frac{e^{-at^2}}{t^2}$$ is not an integrable function in a neighbourhood of zero.

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