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
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