Chapter 5.4, Problem 3E

(a).

To determine

To evaluate: The value of ${\displaystyle \underset{0}{\overset{8}{\int }}f\left(x\right)dx}$ , given that $f$ is an even function with ${\displaystyle \underset{-8}{\overset{8}{\int }}f\left(x\right)dx=18}$.

(b).

To determine

To evaluate: The value of ${\displaystyle \underset{-8}{\overset{8}{\int }}xf\left(x\right)dx}$ , given that $f$ is an even function with ${\displaystyle \underset{-8}{\overset{8}{\int }}f\left(x\right)dx=18}$.