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The Fundamental Theorem of Calculus  

This web page includes a brief statement of the second form of the fundamental theorem of calculus and a focused Java applet that allows an instructor to demonstrate an example of an accumulation or area function, where the area under the graph of \(f(x) = \sin 2x\) (from \(0\) to \(4\pi\)) is graphed on a second plot. It is a nice example, since you can see the relative extrema of the accumulation function occuring where the function \(f(x)\) is zero, etc.

Resource URL: http://www.dean.usma.edu/math/research/mathtech/java/FTCProject/ftcprojectpage.html

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Subject classification(s): Integration | Single Variable Calculus | Calculus

Creator(s): Garrett Heath

Contributor(s): Garrett Heath

This resource was cataloged by Paul Seeburger

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