(RA17) Riemann Integrability

In this video, we take a look at what it means for a function to be Riemann integrable on a closed and bounded interval. We begin with a brief discussion of interval partitions, partition norms, and tagged partitions, and then transition into Riemann sums, and limits of Riemann sums, which are often called Riemann integrals (if they exist, and also are sometimes called definite integrals). We discuss several important theorems of Riemann integrals associated to uniqueness of limits, boundedness, and provide a proof of the Riemann integrability of continuous functions. -The Let's Learn, Nemo Community- ►YouTube –    / letslearnnemo   ►Discord –   / discord   ►Twitch –   / letslearnnemo   ►Patreon -   / letslearnnemo   ►Website – https://www.LetsLearnNemo.org #LetsLearnNemo #riemannintegral #realanalysis