Using Feynman's technique to solve this really cool Berkeley Math Tournament integral

Last time around we solved this integral using some elegant properties of the definite integral:    • Is this hard integral from the 2020 Berkel...   Those elegant properties are stated and explained in the link below    • Some really nice properties of the definit...   This time, however, I couldn't resist solving it using Feynman's technique and really enjoyed solving this particular problem. I hope you enjoy the video too and remember to like and subscribe for more maths and physics content