Chapter 12.5, Problem 55PS

To determine

To find: ${\displaystyle \underset{B}{\iiint }f\left(x\right)g\left(y\right)h\left(z\right)dV=\left[{\displaystyle \underset{a}{\overset{b}{\int }}f\left(x\right)dx}\right]}\left[{\displaystyle \underset{c}{\overset{d}{\int }}g\left(y\right)dy}\right]\left[{\displaystyle \underset{r}{\overset{s}{\int }}h\left(z\right)dz}\right]$

iff, g, and h are continuous.