# Integrating Odd Powers of Sine and Cosine by Substitution

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This Demonstration shows the first two steps in how to put an odd power of a sine into a form suitable for integration. Suppose the expression is . (1) split off one sine to get (2) use to express in terms of (3) substitute , because , which absorbs the split-off sine (4) expand the polynomial in (unless ) (5) integrate the resulting polynomial in terms of (6) substitute back

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Contributed by: George Beck (March 2011)

Open content licensed under CC BY-NC-SA

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"Integrating Odd Powers of Sine and Cosine by Substitution"

http://demonstrations.wolfram.com/IntegratingOddPowersOfSineAndCosineBySubstitution/

Wolfram Demonstrations Project

Published: March 7 2011