Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 15 - Section 15.1 - Double Integrals over Rectangles - 15.1 Exercise - Page 1000: 52

Answer

Answer Part(a) Fubini’s theorem states that the order of integration of a function of two variables does not affect the value of the double integral. Clairaut’s theorem states that the order of differentiation of such function does not affect the value of the second derivative. Both of the theorems require continuity .

Work Step by Step

Part(a) Fubini’s theorem states that the order of integration of a function of two variables does not affect the value of the double integral. Clairaut’s theorem states that the order of differentiation of such function does not affect the value of the second derivative. Both of the theorems require continuity .
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