integrals-with-cosmx-sinnx

Worked problem in calculus. The indefinite integrals of the form int cos^m(x) sin^n(x) dx break into two cases: one of m or n odd, or both m, n even. The first case allows for a straightforward u-substitution. The other requires the half-angle identities for cosine and sine. Examples are (a) sin^5(x), (b) sin^3(x) cos^3(x), and (c) sin^2(x) cos^2(x).

Tagged under: Mathematics,calculus,integral,antiderivative,trig,sine,cosine,powers,exponent

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