I just need help on one more of this type of integral:

http://img5.imageshack.us/img5/2685/mathvm.th.jpg

Can someone help me start it up? Thank you.

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- Nov 8th 2009, 09:40 PMabilitiesztrig integrals
I just need help on one more of this type of integral:

http://img5.imageshack.us/img5/2685/mathvm.th.jpg

Can someone help me start it up? Thank you. - Nov 8th 2009, 10:22 PMabilitiesz
I figured it out. Thanks.

- Nov 8th 2009, 10:22 PMsimplependulum
$\displaystyle \frac{8}{1287}$

sub $\displaystyle \cos(x) = t $

$\displaystyle dt = - \sin(x) ~dx $

$\displaystyle I = \int_0^{1} t^8 ( 1 - t^2 )^2 ~dt$

$\displaystyle = \int_0^{1} (t^8 - 2 t^{10} + t^{12} )~dt$

$\displaystyle = \frac{1}{9} - \frac{2}{11} + \frac{1}{13} $

$\displaystyle = \frac{1}{1287} [ 143 - 234 + 99 ] = \frac{8}{1287} $