We know how to find the area of triangles, rectangles, trapezoids, circles, etc from our geometry formulas, but what if we want to find the area of a region that has curved sides? To lay the foundation for the process of finding the actual area, we will first look at approximating the area using rectangles of equal width. This video covers an example for approximating the area between f(x)=x^2 + 1, the x-axis, over the interval [-1,1] using n=4 rectangles, and the case of the midpoints. For the video using the right or left endpoints, click on:
Approximating the area of a region between a curve, the x-axis, on a closed interval.
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