Chapter 13.5, Problem 43E

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

43.     ${\displaystyle {\int }_0^{\pi }{\displaystyle {\int }_0^{\pi /6}{\displaystyle {\int }_{2\sec \phi }^4{\rho }^2\sin \phi d\rho d\phi d\theta }}}$