Areas Between Curves
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Lesson Description:
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.
Additional Resources:
- Some Area Problems - Some practice area problems.
- More on Area - More practice on area.
Questions answered by this video:
- How do you find the area between curves?
- How do you find the area of the region bounded by sin x and cos x?
- How do you find the area of the region bounded by y = x^2 and y = x + 2?
- How do you find the area between curves by using dy instead of dx?
- How do you set up an integral by using horizontal slices?
- How do you find the area of the region bounded by y = x^5 and y = x^2?
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Staff Review
The theory behind integrals and areas under curves is explained again, and this is applied to situations in which you would like to find the area between curves instead of the area under a curve. Several different example problems are done, showing how to think of the problems geometrically, how to set them up, and how to compute the areas. Some of the areas are able to be computed by splitting them up into multiple integrals, some are easier by integrating with respect to x, and some integrating with respect to y. A good variety of examples are provided. -
