Session 57: How to Calculate Volumes

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Overview

Just as we calculated the area of a region by summing areas of rectangles, we find the volume of a solid by summing the volumes of slabs.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Volumes by Slicing (00:04:00)

» Accompanying Notes (PDF)

From Lecture 22 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Solids of Revolution (00:06:00)

» Accompanying Notes (PDF)

From Lecture 22 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Revolution About the x-axis

 

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