Here's a proof of the integral using Residue Theorem.pic.twitter.com/Dcn1rBAsjG
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Story time 
This integral came up in one of my Quantum Mechanics problem sets as an undergrad.
We were told to just use a table, but of course I couldn't resist the lure of a good integral. I still remember the feeling when I finished and saw π/e.pic.twitter.com/WUjHOsqjmv
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Man, you are catching all my favorites as an undergrad. And in general (if I remember correctly)...pic.twitter.com/uQmdNTIS3K
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Nice.. yea in my proof we'll just have e^{i^2} --> e^{m i^2}.. very cool
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LOL. Nice. I keep it on my board to get student reactions.pic.twitter.com/D6NIMc6eWC
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I smell poles at +/- i
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A cool way to do this is to calculate the Fourier Transform of exp(-lxl), and then look at the inverse transform
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Residue thm ?
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This was a hw problem in my complex analysis class as an undergrad
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Cool! integral_(-∞)^∞ cos(x)/(1 + x^2) dx = π/e
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Looks like something a trig knowledge might be useful for.
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