Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 13 - Multiple Integration - 13.2 Double Integrals over General Regions - 13.2 Exercises - Page 980: 6

Answer

\[\text{Graph}\]

Work Step by Step

\[\begin{align} & \int_{-2}^{2}{\int_{{{x}^{2}}}^{4}{{{e}^{xy}}}dydx} \\ & \text{Let the functions} \\ & y={{x}^{2}}\text{ and }y=4 \\ & -2\le x\le 2 \\ & \text{Then, the region }R\text{ is} \\ & R=\left\{ \left( x,y \right):{{x}^{2}}\le y\le 4,-2\le x\le 2 \right\} \\ & \text{Graph} \\ \end{align}\]
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