The Fundamental Theorem of Calculus

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If is a continuous function on and is an antiderivative for on , then If we take and for convenience, then is the area under the graph of from to and is the derivative (slope) of . In the image above, the purple curve is —you have three choices—and the blue curve is .

Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA


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