Explanation Given: The given function is ∫ 1 2 ∫ 2 2 x 2 y d y d x . Approach: To evaluate the double integration ∫ 1 2 ∫ 2 2 x 2 y d y d x first replace y by x , then replace x by the digits and subtract the upper limit from lower limit. Calculation: Consider the function. ∫ 1 2 ∫ 2 2 x 2 y d y d x = ∫ 1 2 ∫ 2 2 x 2 ( y d y ) d x = ∫ 1 2 ∫ 2 2 x 2 ( y 2 2 ) d x Substitute the values of upper limit and lower limit. ∫ 1 2 ∫ 2 2 x 2 y d y d x = ∫ 1 2 ∫ 2 2 x 2 ( y 2 2 ) d x = ∫ 1 2 ( 4 x 4 2 − 4 2 ) d x = ∫ 1 2 ( 2 x 4 − 2 ) d x ……(1) Solve equation (1) to replace x

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ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 9.CR, Problem 78CR

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To find:

The value of the function ∫12∫22x2ydydx.

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Chapter 9.CR, Problem 77CR

Chapter 9.CR, Problem 79CR

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The value of the function ∫ 1 2 ∫ 2 2 x 2 y d y d x .

Solution Summary: The author explains how to evaluate the double integration of displaystyle.

Concept explainers

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To find:

The value of the function ∫12∫22x2ydydx.

Want to see the full answer?

Chapter 9 Solutions

The value of the function ∫ 1 2 ∫ 2 2 x 2 y d y d x .

Solution Summary: The author explains how to evaluate the double integration of displaystyle.

Concept explainers

Videos

To find: The value of the function ∫12∫22x2ydydx.

Want to see the full answer?

Chapter 9 Solutions

To find:

The value of the function ∫12∫22x2ydydx.