Answer
$\frac{a^{6}-a^{3}}{3}$
Work Step by Step
$\int^{a^{2}}_{a}x^{2}dx=\frac{x^{3}}{3}|^{a^{2}}_{a}=\frac{(a^{2})^{3}}{3}-\frac{(a)^{3}}{3}=\frac{a^{6}-a^{3}}{3}$
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 - 5.2 The Definite Integral - Exercises - Page 245: 42
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