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How to prove $\displaystyle \int_0^{\infty} \frac{\sin x}{x} \, dx = \frac{\pi}{2}$?

How do I proceed?

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    That has been asked like a thousand times on MSE.2017-02-15
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    If a thousand people asked how to prove it, surely it is true.2017-02-15
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    wow thanks a lot2017-02-15

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