Upper and Lower Integrals

We motivate and define upper and lower integrals for bounded functions. We then prove that the upper integral of a function is always at least as big as the lower integral of the function. We finish by computing the upper and lower integrals of the indicator function for the rationals on [0,1], i.e., the Dirichlet function.
Errata: Apologies for the typo at 13:50 where I write x ∉ 𝙸 instead of x ∈ 𝙸.

[@RealEverythingComputers]

Thanks for the great video -- was real refresher to some calc I content!

[@shehanranasinghe9730]

You literally made me understand what is lower and upper intregal really is.thanks a lot

[@priy9491]

Had a difficult time understanding the concept before..thank you for this!

[@neeleshbulleeraz6338]

gold