If you plug in a non integral value of n does this give you Γ(n-1)?
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Could you share how to solve it?
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Using a smart change of variables the proof is straightforward!
pic.twitter.com/DlZ04wkgAp
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That must be closely related to Euler's Gamma function.
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I have not seen this one before, but the one with x^n e^-x inside the integral is my favourite. I wrote the proof out a couple of days ago to show someone
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