Fundamental Theorem of Calculus - Research Article from World of Mathematics

This encyclopedia article consists of approximately 3 pages of information about Fundamental Theorem of Calculus.

Fundamental Theorem of Calculus - Research Article from World of Mathematics

This encyclopedia article consists of approximately 3 pages of information about Fundamental Theorem of Calculus.
This section contains 644 words
(approx. 3 pages at 300 words per page)
Buy the Fundamental Theorem of Calculus Encyclopedia Article

The Fundamental Theorem of Calculus states that the area under the graph of a function over an interval can be calculated by evaluating any antiderivative of the function at the endpoints of the interval. That is, if f is a function defined on an interval [a,b] and F is any antiderivative of f (that is, if F' = f), then the definite integral of f from a to b (i.e. the area under the curve y=f(x) between x=a and x=b) equals F(b) - F(a). Another formulation of this theorem states that the area function of a function f is an antiderivative of f: that is, for any integrable function f, fix a value a in its domain and let Af(x) be the area under the graph of f between a and x. Then...

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This section contains 644 words
(approx. 3 pages at 300 words per page)
Buy the Fundamental Theorem of Calculus Encyclopedia Article
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Fundamental Theorem of Calculus from Gale. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.