Can anybody help with this integral:

$\displaystyle \int {xcos^{2009}xdx} $?

Thanks.

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- Apr 25th 2009, 06:32 AMcurvatureHow to calculate this trig integral?
Can anybody help with this integral:

$\displaystyle \int {xcos^{2009}xdx} $?

Thanks. - Apr 25th 2009, 07:15 AMNacho
an idea

first integrate byr part, to eliminate that X, next you can usea the indetity

$\displaystyle

\cos ^2 x = \frac{{1 + \cos \left( {2x} \right)}}

{2}

$

next you have to find a regularity... (wich I didn`t find it) - Apr 25th 2009, 07:19 AMderfleurer
Unless you've got some technique for integrating that, this looks like burnt toast, mate. =p