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Possible Duplicate:
Proof for an integral involving sinc function

How can one calculate $\displaystyle\int_0^{\infty} \frac{\sin^2 x}{x^2} dx$? I know that the answer is $\pi/2$ and I imagine we need to use complex analysis, but I'm not sure how to recast it into a contour integral appropriately.

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    @Norbert: Fair enough, but at least two sledge hammers is an improvement on just the one. =)2012-04-08

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