In this lesson, we learn how to find the area between two curves using integration. We start with the familiar case of a region bounded by a non-negative function and the x-axis over an interval AB. We then move on to a more general case of a region bounded between two curves, where we approximate the region with rectangles and find the area differential dA equal to the difference of the two functions times dx. We then integrate dA to find the exact area between the two curves. The lesson includes examples of finding the area between curves by integrating with respect to both x and y.
How to find the area between two curves.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.