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
» Clip 1: Example of Trig Substitution (00:13:00)
From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006
» Clip 2: Undoing Trig Substitution (00:05:00)
From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006
» Clip 3: Summary of Trig Substitution (00:05:00)
From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006
Worked Example
Substitution Practice
Recitation Video
Hyperbolic Trig Substitution
> Download from iTunes U (MP4 - 36MB)
> Download from Internet Archive (MP4 - 36MB)