Changing the Order of Integration Sketch the solid whose volume is given by the sum of the iterated integrals ∫ 0 6 ∫ z / 2 3 ∫ z / 2 y d x d y d z + ∫ 0 6 ∫ 3 ( 12 − z ) ∫ z / 2 6 − y d x d y d z . Then write the volume as a single iterated integral in the order d y d z d x and find the volume of the solid.

Multivariable Calculus

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275378

Chapter
Section

Multivariable Calculus

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275378
Chapter 14, Problem 17PS
Textbook Problem
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Changing the Order of Integration Sketch the solid whose volume is given by the sum of the iterated integrals ∫ 0 6 ∫ z / 2 3 ∫ z / 2 y d x d y d z   +   ∫ 0 6 ∫ 3 ( 12 − z ) ∫ z / 2 6 − y d x   d y   d z .Then write the volume as a single iterated integral in the order d y   d z   d x and find the volume of the solid.

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