Single Variable Calculus

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

Clip 1: Integral of cos2(x)

Clip 2: Integral of sin2(x) cos2(x)

Worked Example

Integral of sin⁴(x) cos²(x)

• Problem (PDF)
• Solution (PDF)

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