$\displaystyle

\int_0^\frac {\pi}{2} sin^5x~cos^6x~dx

$

I know I am supposed to strip one layer away, in this case from sin, to give me:

$\displaystyle

\int_0^\frac {\pi}{2} sin^4x~cos^6x~sinx~dx

$

But I don't know what to do next, only that it will probably involve u substitution.