Chapter 14.7, Problem 44E

Evaluate the spherical coordinate integrals in Exercises 43−48.

44. ${\displaystyle {\int }_0^{2\pi }{\displaystyle {\int }_0^{\pi /4}{\displaystyle {\int }_0^2\left(\rho \cos \varphi \right){\rho }^2\sin \varphi d\rho d\varphi d\theta }}}$