# Math Help - How to calculate this trig integral?

1. ## How to calculate this trig integral?

Can anybody help with this integral:
$\int {xcos^{2009}xdx}$?
Thanks.

2. an idea

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

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

next you have to find a regularity... (wich I didn`t find it)

3. Unless you've got some technique for integrating that, this looks like burnt toast, mate. =p