An Area Between Curves Applet

One of the standard applications of the definite integral is to find the area between two curves.  To find the area you need to have two curves that bound the area and limits of integration.

This can be set up where the region of integration is defined with a top curve and a bottom curve.  In this case we have a range of integration for x.  For each x we use the difference between the top and bottom curves as the integrand. 
The problem can also be set up with the area defined as going from a left curve to a right curve with a range of integration for y.

Things to notice:

This applet was designed as by modifying an applet from a demo by Tom Banchoff at Brown University.  It is used with permission.   Go to the Banchoff Applet Help page.

Return to the Banchoff Applet page.
Return to the SLU Calculus Applet page.

Return to the Saint Louis University Department of Mathematics and Computer Science home page

Last updated By Mike May, S.J. ,  October 6, 2006.