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WONDERFUL 𝜋ntegral! A Putnam Extravaganza [ Basel Problem Integral Representation ]

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Generalization:
Othe Putnam Int: https://youtu.be/7Y1kOUqXjIc
Basel: https://youtu.be/MAoI__hbdWM
Geo Series: https://www.youtube.com/watch?v=F-w6RsRbLHQ
Gamma Fct: https://youtu.be/0170T5uyfuM

Today we are going to derive a crazy popazy integral representation for pi^2/6, namely the integral from 0 to infinity of x/(e^x-1). We are going to see, that it evaluates to zeta of 2 times the gamma function, it's going to be amazing! Just wait for the generalization, it's going to be gucci as hell! Enjoy :3

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