Answer
$a=0; b=1$
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: $a=0; b=1$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
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
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