Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 14 - Multiple Integrals - 14.1 Double Integrals - Exercises Set 14.1 - Page 1007: 1

Answer

$$\int_0^1\int_0^2(x+3)dydx=7$$

Work Step by Step

$\int_0^1\int_0^2(x+3)dydx=\int_0^1(xy+3y)\bigg\vert_0^2dx$ $=\int_0^1(2x+6-0)dx=\left(x^2+6x\right)\bigg\vert_0^1$ $=1+6-0-0=7$
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