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Calculus: Fundamental Theorem of Calculus, Part I

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Uploaded on Jul 28, 2009

http://www.mindbites.com/series/154 for a bundle of videos on the Fundamental Theorem of Calculus. For an even broader bundle of videos that cover the Fundamental Theorem of Calculus and Integration Basics, check out http://www.mindbites.com/series/155 .

To search for topic-specific help in our library of 600+ video products for Calculus, please refer to our Calculus category at: http://www.mindbites.com/category/23-... .

To check out our full Calculus video course, with 250+ videos included, refer to: http://www.mindbites.com/series/227-c... .

Or, for access to this single video, go to: http://www.mindbites.com/lesson/843-c...


In this lesson, you will learn how the derivative and the integral are related. This is the first part of the fundamental theorem of calculus; it asserts that differentiation is 'undone' by integration. It also means that the rate of change of the area under the graph of a function with respect to x is equal to the value of the original function at x. In addition to explaining the theorem and the implications of it, Professor Burger will also walk you through a proof of sorts that explains why the theorem is true.

This lesson explains the first half of the Fundamental Theorem of Calculus. To see the second half of Professor Burger's explanation, check out: http://www.mindbites.com/lesson/844

Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Calculus.

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