Chapter 5 - Section 5.4 - The Fundamental Theorem of Calculus - Exercises - Page 320: 3

$\frac{124}{125}$

\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}