This lesson teaches how to find the area under a curve by approximating the integral of a function. The instructor uses the example of the area between y = x^2 and y = 0 from x = 1 to x = 3, using four rectangles to approximate the area. The formula for the area is approximately f1 times delta x plus f2 times delta x plus f, et cetera, and you can calculate the area of each rectangle with it. With this method, you can only have four rectangles, so the area is always an approximation, but it's a good starting point.
How to find the area under a curve by approximating the integral of a function.
Produced by Kent Murdick
Instructor of Mathematics
University of South Alabama