Chapter 14, Problem 43RE

(a)

To determine

The representation of the integral ${\displaystyle \underset{-1}{\overset{3}{\int }}(9-x^2)dx}$.

(b)

To determine

To graph: The function $f\left(x\right)=(9-x^2)$, and shade the region represented by the integral ${\displaystyle \underset{-1}{\overset{3}{\int }}(9-x^2)dx}$.

(c)

To determine

The approximate area of an integral ${\displaystyle \underset{-1}{\overset{3}{\int }}(9-x^2)dx}$ using graphing utility.