Session 70: Preview of Trig Substitution and Polar Coordinates

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Overview

For some integrals it's advantageous to use polar coordinates, replacing x by r times the cosine of theta and y by r sine theta.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Area of Part of a Circle (00:17:00)

» Accompanying Notes (PDF)

From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

An Alternate Solution

 

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