Chapter 12, Problem 5RCC

(a)

To determine

To write: The definition of the triple integral of f over a given rectangular box B.

(b)

To determine

To evaluate: The given integral ${\displaystyle \underset{B}{\iiint }f\left(x,y,z\right)}dV$.

(c)

To determine

To define: ${\displaystyle \underset{E}{\iiint }f\left(x,y,z\right)}dV$ where E is a bounded region.

(d)

To determine

To explain: The type 1 region and the method of evaluating it.

(e)

To determine

To explain: The type 2 region and the method of evaluating it.

(f)

To determine

To explain: The type 3 region and the method of evaluating it.