Trigonometric Integral Help please!

  • Thread starter Saterial
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  • #1
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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?
 

Answers and Replies

  • #2
vela
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Try differentiating it and see if you recover the integrand.
 

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