Session 61: Integrals and Weighted Averages

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Overview

We use a "weighted average" to take into account differences in energy, value, density, etc. of the region we're integrating over.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Weighted Averages (00:05:00)

» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Boiling Cauldron: Introduction (00:03:00)

» Accompanying Notes (PDF)

 From Lecture 22 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Boiling Cauldron, Continued (00:15:00)

» Accompanying Notes (PDF)

From Lecture 23 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Weighted Average

 

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