Overview
We've seen how definite integrals and the mean value theorem can be used to prove inequalities. In this session we see that FTC1 renders MVT obsolete and review an exam problem on the MVT.
Lecture Video and Notes
Video Excerpts
» Clip 1: Review of the Fundamental Theorem (00:02:00)
From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Review of the Fundamental Theorem
> Download from iTunes U (MP4 - 109MB)
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» Clip 2: The Fundamental Theorem and the Mean Value Theorem (00:08:00)
From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: The Fundamental Theorem and the Mean Value Theorem
> Download from iTunes U (MP4 - 109MB)
> Download from Internet Archive (MP4 - 109MB)
» Clip 3: The Mean Value Theorem and Estimation (00:09:00)
From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006
Clip 3: The Mean Value Theorem and Estimation
> Download from iTunes U (MP4 - 109MB)
> Download from Internet Archive (MP4 - 109MB)
Worked Example
Estimating ln(5)