Overview
Using the interpretation of the definite integral as describing the area under a graph, we prove the second fundamental theorem. Then we use FTC2 to prove FTC1.
Lecture Video and Notes
Video Excerpts
» Clip 1: Proof of the Second Fundamental Theorem of Calculus (00:03:00)
From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Proof of the Second Fundamental Theorem of Calculus
> Download from iTunes U (MP4 - 109MB)
> Download from Internet Archive (MP4 - 109MB)
» Clip 2: Proof of the First Fundamental Theorem of Calculus (00:09:00)
From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Proof of the First Fundamental Theorem of Calculus
> Download from iTunes U (MP4 - 109MB)
> Download from Internet Archive (MP4 - 109MB)