University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 14 - Section 14.5 - Triple Integrals in Rectangular Coordinates - Exercises - Page 787: 38

Answer

$$0$$

Work Step by Step

Our aim is to integrate the triple integral as follows: $$ Average=\dfrac{1}{2} \times \int^1_0 \int^1_0 \int^2_0 (x+y-z) \space dz \space dy \space dx \\=\dfrac{1}{2} \times \int^1_0 \int^1_0 (2x+2y-2)\space dy \space dx \\=\dfrac{1}{2} \times \int^1_0(2x-1)dx \\=0$$
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