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 981: 11

Answer

\[\int_{1}^{2}{\int_{x+1}^{2x+4}f(x,y) {dy}dx}\]

Work Step by Step

\[\begin{align} & \text{Let the region} \\ & R=\left\{ \left( x,y \right):1\le x\le 2,\text{ }x+1\le y\le 2x+4 \right\} \\ & \text{Then,} \\ & \int_{1}^{2}{\int_{x+1}^{2x+4}f(x,y) {dy}dx} \\ & \text{Graph} \\ \end{align}\]
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