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Saterial
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Homework Statement
∫sin^3xcos^63xdx
Homework Equations
The Attempt at a Solution
∫sin^3xcos^63xdxsin^3xcos^63xdx
let u=cosx
du=-sinxdx
-du=sinxdx
=∫sin^2xcos^63xsinxdx
=∫(1-cos^2x)cos^63x-du
=-∫(1-u^2)u^63du
=-∫(u^63-u^65)du
=-u^64/64-u^66/66+c
=(-cos^64x/64)-(cos^66x/66)+c
^ I'm thinking this is not the correct answer?