Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 15: Multiple Integrals - Section 15.5 - Triple Integrals in Rectangular Coordinates - Exercises 15.5 - Page 902: 39

Answer

1

Work Step by Step

average=$\int^1_0 \int^1_0 \int^1_0 (x^2+y^2+z^2)$ dz dy dx =$\int^1_0 \int^1_0 (x^+y^2+\frac{1}{3}) dy $ dx =$\int^1_0 (x^2+\frac{2}{3})dx $ =1
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