A Non-integrable Derivative
In this video, we construct a bounded function that is differentiable on [0, 1] but whose derivative is not Riemann integrable on [0, 1]. Sources: Abbott, Stephen. Understanding Analysis. 2nd ed., Springer, 2015. Lebl, Jiří. Basic Analysis I: Introduction to Real Analysis, Volume I. Version 5.4, June 8, 2021.
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