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 cos²(x) (4 min)
» Accompanying Notes (PDF)

From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Integral of sin²(x) cos²(x) (7 min)
» Accompanying Notes (PDF)

From Lecture 27 of 18.01 Single Variable Calculus, Fall 2006

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Worked Example

Integral of sin⁴(x) cos²(x)

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

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Lecture Video and Notes

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Worked Example

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