18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Trigonometric Powers, Trigonometric Substitution and Completing the Square

Session 68: Integral of sin^n(x) cos^m(x), Odd Exponents

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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

Clip 2: Integral of sinn(x) cos(x)

Clip 3: Integral of sin3(x) cos2(x)

Clip 4: Integral of sin3(x)

Recitation Video

Trig Integral Practice

Trig Integrals and a Volume of Revolution

Worked Example

Integral of cos3(2x)

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos