Answer
8
Work Step by Step
The sketch (see below) reveals a triangle
$A=\displaystyle \frac{1}{2}$(base)(height)$=\displaystyle \frac{1}{2}(4)(4)=8$
So
$A=\displaystyle \int_{0}^{4}xdx=8$
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 4 - Integration - 4.3 Exercises - Page 273: 25
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