Answer
$\text{Area} = 9 \,\text{Units square}$
Work Step by Step
Using the rules of integrals, we find:
$$\text { Area }=\int_{0}^{3} x^{2} d x=\left[\frac{x^{3}}{3}\right]_{0}^{3}=\frac{3^{3}}{3}=3^{2}=9 \,\text{Units square}$$
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 - 4.1 An Overview Of The Area Problem - Exercises Set 4.1 - Page 270: 3
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