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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?