Chapter 21, Problem 15P

Evaluate the following triple integral

${\displaystyle {\int }_{-2}^2{\displaystyle {\int }_0^2{\displaystyle {\int }_{-3}^1\left(x^3-3yz\right)dxdydz}}}$

(a) Analytically and

(b) Using single applications of Simpson's 1/3 rule.

For (b) compute the percent relative error $\left({\epsilon }_t\right)$.