Here is a problem for those iof you who would like something more substantial than solve x/3=1. ebaines?

Find the volume of the unit cube using spherical coordinates.

Here is how I set it up:

6\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \;\ \int_{0}^{tan^{-1}(csc({\theta})} \;\ \int_{0}^{sec({\phi})}{\rho}^{2}sin({\phi})d{\rho} d{\phi}d{\theta}=1