Session 60: Integrals and Averages

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Overview

This session explains how definite integrals can be used to calculate the average value of a function on an interval, then presents several examples.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Average Value (00:06:00)

» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Average Height (3 min) (00:03:00)

» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Average Height with Respect to Arc Length (00:09:00)

» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Average Velocity

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Worked Example

 

Average Bank Balance

 

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