Here's my proof of the equalitypic.twitter.com/HZTyokc1Su
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Differentiation under the integral is a little delicate here because the sin(x)/x integral is improper.
yes but the result converges so it's fine
G. H. Hardy would be proud of you.
I never could resist an integral
Funny you RT'd this. I have a similar (more difficult) one...but I can't show you yet ;) trying to publish it as an AMM problem first
periodic functions you craaaazy
I guess these aren't technically periodic tho?
Interesting sequence too. Always a rational multiple of π. http://oeis.org/A002297
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