i don't know if there are different ways to solve it, but here's hint (1) for the way i solved itpic.twitter.com/24ccNxasIO
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Differentiate with respect to a, maybe? Or maybe split integral to 0:1 and 1:∞?
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this guy is nontrivial, at least my solution wasn't
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Is this Gaussian integral?
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only when a=0
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There's got to be more than one way to solve it. Here's what I've got so far that looks like a promising method of attack.pic.twitter.com/LwsxLFj4pZ
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The trick is to notice how the integrand transforms under x->1/x and how to use that fact to wrap up the exponent.https://twitter.com/ValFadeev/status/1147833675154935809?s=09 …
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Me too!
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