Session 69: Integral of sin^n(x) cos^m(x), Even Exponents

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Overview

In this session we complete the search for antiderivatives of products of sine and cosine.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Integral of cos2x (00:04:00)

» Accompanying Notes (PDF)

From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Integral of sin2(x) cos2(x) (00:07:00)

» Accompanying Notes (PDF)

From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Integral of sin4(x) cos2(x)

 

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