Type 6 - Odd and Even Powers
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Module 1: Antiderivatives of circular functions

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Type 6 - Odd and Even Powers

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XSIQ
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Advanced Mathematics - Antiderivative types - odd and even powers

Antiderivative types - odd and even powers

We can use the double angle formulae, [1] to convert these functions to a
form that is easy to anti differentiate.

cos 2ax = cos2 ax - sin2 ax = 2cos2 ax - 1 = 1 - 2sin2 ax

sin_ ax_ = 1/2 (1 - cos2_ ax_)

cos_ ax_ = 1/2 (1 + cos2_ ax_)

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Links:
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[1] http://alison.com/#

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