Answer
3 Square Units
Work Step by Step
The area of the triangle peak is A=$\frac{1}{2}bh$
=$\frac{1}{2}(2)(1)$ =1
The area of the rectangle base is S=$Lw$=(2)(1)=2
Then the total area is 3
=$\int_{-1}^1(2-|x|)dx =3 $ square units
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 5: Integrals - Section 5.3 - The Definite Integral - Exercises 5.3 - Page 275: 21
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