Calculus I and II Lecturer-21: The Area Under a Curve Approximation of areas with sums of rectangle areas. Right-endpoint, left-endpoint, and midpoint approximations; upper and lower sums (Part-01). Video credits to #selwyn_Hollis University of Houston Department of Mathematics. For further information https://online.math.uh.edu/HoustonACT/videocalculus/ https://www.casa.uh.edu/cwdrive/Viewer/flashplay.html?uf=21-area-H264__2530129a-0b65-468e-afd3-a1020a56af76.mp4 | Mathematical Muse
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mathswithmuza on Instagram: "Riemann rectangles are a way to approximate the area under a curve by breaking it into many thin vertical rectangles. You start with an interval on the x-axis and divide it into smaller subintervals of equal (or sometimes unequal) width. Over each subinterval, you choose a height based on the function’s value at a specific point—such as the left endpoint, right endpoint, or midpoint—and form a rectangle. The total area of these rectangles gives an estimate of the are
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