Unit: Techniques of IntegrationModule: Integrals Involving Powers of Sine and Cosine Introduction to Integrals with Powers of Sine and Cosine www.thinkwell.com [email protected]Copyright 2001, Thinkwell Corp. All Rights Reserved. 1467 –rev 06/13/2001• Use a double-angle identityto integrate 2sinxor 2cos.x• Use u-substitutionto integrate 3sincos .xxA double-angle identityis a trigonometric identity where the argument of the trigonometric function is multiplied by two. The double-angle identities for sine and cosine can be derived from two simpler trigonometric identities. If you can remember those two identities, you can recreate the double-angle identities whenever you need them. The double-angle identities are sometimes called power-reducing identitiesbecause they take the trig function down in power. To integrate 2sin,xstart by applying the double-
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