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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 (6 min)
» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006


» Clip 2: Average Height (3 min)
» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Average Height with Respect to Arc
  Length (9 min)
» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Recitation Video

 

Average Velocity

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Download this video:
» iTunes U (MP4 - 16MB)
» Internet Archive (MP4 - 16MB)

Worked Example

 

Average Bank Balance

 

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