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Possible Duplicate:
Proof for an integral involving sinc function

Prove that: $\displaystyle \int_{0}^{\infty }\frac{\sin t}{t}dt=\int_{0}^{\infty }\frac{\sin^{2}t}{t^{2}}dt$

Thank you in advance for any suggestion.

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    Welcome to math.stackexchange Lilly. In the future, please avoid using imperative language- rather than saying "Prove X" phrase it as "Can someone help me prove X? Here is what I've tried, but I got stuck here...". Members here will give you more help if you do that. Anyway, for your problem, you should try integrating by parts.2012-01-27
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    The indefinite integral corresponding to the right side can be expressed in terms of the indefinite integral corresponding to the left side.2012-01-27
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    I don't know much about this subject, but I think you should take a look at this [reference](http://mathworld.wolfram.com/SineIntegral.html). (which defines the integral $\int_0^{\infty} \frac{sin t}{t} dt$)2012-01-27

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