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
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 4 - Integration - 4.5 The Definite Integral - Exercises Set 4.5 - Page 308: 25
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