Session 50: Combining the Fundamental Theorem and the Mean Value Theorem

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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

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» Clip 1: Review of the Fundamental Theorem (00:02:00)

» Accompanying Notes (PDF)

From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: The Fundamental Theorem and the Mean Value Theorem (00:08:00)

» Accompanying Notes (PDF)

From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: The Mean Value Theorem and Estimation (00:09:00)

» Accompanying Notes (PDF)

From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Estimating ln(5)

 

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