Chapter 16.5, Problem 47E

Integrals in spherical coordinates Evaluate the following integrals in spherical coordinates.

45.     ${\displaystyle {\int }_0^{2\pi }{\displaystyle {\int }_{\pi /6}^{\pi /3}{\displaystyle {\int }_0^{2\csc \phi }{\rho }^2\sin \phi d\rho d\phi d\theta }}}$