Hello, I am trying to solve an integral but it quickly gets crowded with too many terms... (once you start solving it you'll see what I mean) I was wondering if there is a way to make computations simpler.

$\displaystyle

\int^1_0\int^{1-u}_0\int^{1-u-v}_0 8uvw\,dw\,dv\,du

$

Thanks in advance