Access the PDF of the notes from this video here: http://clairegibbons.com/s/FTC-part1.pdf

This video explains the first part of the Fundamental Theorem of Calculus (FTC) that establishes integration and antidifferentiation as inverse operations. This allows us to take derivatives of integrals.

Looking for how to evaluate definite integrals with F(b) - F(a)? Check out FTC Part 2 here: https://youtu.be/ofvClaFGI0s

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0:00 Intro: what we are going to do
1:05 The antiderivative & definite integral are equivalent
2:35 Examples: the derivative of a definite integral
4:28 I know, I know — this is boring
4:58 Chain Rule (to make it more interesting!)
5:49 Examples: bounds tell us to use chain rule
7:28 *Alternate statements of the FTC*
9:03 Thanks for watching!