Hello, some of you may remember me from the previous question.

$\displaystyle

\int^{a}_{0} f(x)dx = \int^{a}_{0}f(a-x)dx

$

Hence evaluate

$\displaystyle

\int^{\frac{\pi}{2}}_{0} xsin^2xcos^2xdx

$

After messing about with it I can never seem to get it into a nicer form... thanks any help would be appreciated (Yes)