Answer
\[
-A(-3)+A(9)=-(-9)+243=252
\]
Work Step by Step
$\mathrm{A}(-3)$ is the area between -3 and $0=\frac{(-3)^{3}}{3}=-9$
$\mathrm{A}(9)$ is the area between 0 and $9=\frac{9^{3}}{3}=243$
The area on the interval [-3,9] is $(-A(-3)+A(9)=-(-9)+243=252$