Answer
$$
-8
$$
Work Step by Step
Rewrite integral
\[
\int_{-2}^{2} -3+1 d x \int_{-2}^{2}|x| d x
\]
Use geometry
$-3 \cdot\left(\frac{2 \cdot 2}{2}+\frac{2 \cdot 2}{2}\right)+4 \cdot 1 $
Simplify
$4-12$
-8
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: 26
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