Answer
$$
-4
$$
Work Step by Step
Rewrite integral
$\int_{-1}^{3}-5+ 4 d x \int_{-1}^{3} x d x$
Use geometry
$-5 \cdot\left(-\frac{1 \cdot 1}{2}+\frac{3 \cdot 3}{2}\right)+4 \cdot 4$
Simplify
$-20+16$
-4
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