University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 5 - Section 5.3 - The Definite Integral - Exercises - Page 310: 71


$a=0; b=1$

Work Step by Step

Following the hint given in the statement, we have $x-x^2 \ge 0$ This implies that $x(1-x) \ge 0$ The interval is: $[0,1]$ Thus, the limits which maximize the integral are: $a=0; b=1$
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