Riemann sums and the definite integral

A conceptual look at general Riemann sums and the definition of a the definite integral as a limiting value of Riemann sums. We discuss partitions, "sampling arguments", "decorated partitions" (i.e., a partition with sampling arguments), Riemann sums (including the special cases of left-hand sums, right-hand sums, and midpoint sums), partition size, and the conditions under which Riemann sums might reasonably expected to yield a good approximation to signed area. Here is a link to the GeoGebra worksheet used in the video: https://www.geogebra.org/m/wjtt5Jsf