Overview
Finding antiderivatives of trigonometric functions can be tricky. In this session, guest lecturer Haynes Miller reviews some trigonometric identities and uses them to get antiderivatives for some products of sine and cosine.
Lecture Video and Notes
Video Excerpts
» Clip 1: Review of Trigonometric Identities (00:05:00)
From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Review of Trigonometric Identities
> Download from iTunes U (MP4 - 103MB)
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» Clip 2: Integral of sinn(x) cos(x) (00:06:00)
From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006
» Clip 3: Integral of sin3(x) cos2(x) (00:05:00)
From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006
» Clip 4: Integral of sin3(x) (00:02:00)
From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Trig Integral Practice
> Download from iTunes U (MP4 - 25MB)
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Trig Integrals and a Volume of Revolution
> Download from iTunes U (MP4 - 21MB)
> Download from Internet Archive (MP4 - 21MB)
Worked Example
Integral of cos3(2x)