Answer
$\frac{1}{2}sin(1)$
Work Step by Step
$\int_{0}^{1}\int_{0}^{x}cos(x^{2})dydx=\int_{0}^{1}ycos(x^{2})|_{0}^{x}dx$
$=\int_{0}^{1}xcos(x^{2})dx$
$=\frac{1}{2}sin(x^{2})|_{0}^{1}$
$=\frac{1}{2}sin(1)$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 15 - Multiple Integrals - Review - Exercises - Page 1074: 5
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