Answer
See the graph.
Work Step by Step
The blue curve is the graph of $f(x)=2-x^2$ and the red curve is the graph of $g(x)=x^2$. The area between the two curves is the region represented by the integral given in problem description.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 7 - Applications of Integration - 7.1 Exercises - Page 442: 8
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