WONDERFUL 𝜋ntegral! A Putnam Extravaganza [ Basel Problem Integral Representation ] |
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https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg 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 My Website: https://www.papaflammy.engineer/ Flammy's subreddit: https://www.reddit.com/r/FlammyBois Twitter: https://twitter.com/FlammableMaths Facebook: https://www.facebook.com/flammablemaths/ Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2 |