Answer
$4e^{2}-4e+3$
Work Step by Step
$\int_{1}^{2}\int_{0}^{2}(y+2xe^{y})dxdy=\int_{1}^{2}(xy+x^{2}e^{y})|_{0}^{2}dy$
$=\int_{1}^{2}(2y+4e^{y})dy$
$=(y^{2}+4e^{y})|_{1}^{2}$
$=4e^{2}-4e+3$
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: 3
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
