Answer
$\frac{124}{125}$
Work Step by Step
\begin{aligned}\int_{-2}^{2} \frac{3}{(x+3)^{4}} d x&= \int_{-2}^{2} 3(x+3)^{-4} d x\\
&= -\frac{3}{3}(x+3)^{-3}\bigg|_{-2}^{2}\\
&= -\left( \frac{1}{5^3}-1\right)\\
&=-\frac{1-125}{125}\\
&= \frac{124}{125} \end{aligned}