Session 72: Trig Substitution

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Overview

This technique is useful for integrating square roots of sums of squares. This session also covers the trigonometry needed to convert your answer to a more useful form.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Example of Trig Substitution (00:13:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Undoing Trig Substitution (00:05:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Summary of Trig Substitution (00:05:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Substitution Practice

Recitation Video

 

Hyperbolic Trig Substitution

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