Answer
$A=\frac{1}{3}$
Work Step by Step
$f(x)=x^2$
$A=\int_0^1f(x)dx$
$A=\int_0^1x^2dx$
$A=[\frac{x^3}{3}]_0^1$
$A=\frac{1}{3}$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 5 - The Integral - 5.4 The Fundamental Theorem of Calculus, Part I - Exercises - Page 257: 1
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