Session 44: Adding Areas of Rectangles

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Overview

By dividing a region up into thinner and thinner rectangles, we can describe its area as a limit of sums of rectangle areas. Even when using summation notation, this process can be time consuming.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Example: f(x)= x2 (00:17:00)

» Accompanying Notes (PDF)

From Lecture 18 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Summation Notation (00:04:00)

» Accompanying Notes (PDF)

From Lecture 18 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Summation Notation Practice

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Worked Example

 

Summation

 

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