A beautiful integral relating π and the golden ratio φpic.twitter.com/j7kAo2cFeG
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A nice solution by none other than @ValFadeev. This is the way I did it, but I believe it can also be done via Gamma functions.https://twitter.com/valfadeev/status/1150896835260796929?s=21 …
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Hmm... I don't know how to do it with Gamma. First you'd need to get the limits right, the simplest way of doing which is x -> t/(t+1) but then things get horrible.
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I think I did this right- I’ve seen this substitution for integrals ending up in gamma / beta functions a lot. But I’ve also seen the way to derive the formula using contours in my undergrad complex classpic.twitter.com/0f8EQqt03h
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