A Weird Lebesgue Integral

In this video, we take apart an interesting problem from a University of Michigan qualifying exam in Analysis. My intended audience is advanced undergraduates or incoming graduate students with some analysis experience.
Made by Ethan Zell
With thanks to Ben Hayes and Francesco Di Plinio
Book Reference: Real and Complex Analysis by Rudin
Note: I'm making these videos to make studying for my qualifying exams more enjoyable. Please let me know how I can improve and what problems you might like to see. :)

[@esmamaysan2909]

Thank you for the vidéo just continue and go ahead