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Chapter 13: Q. 38 (page 1004)

Evaluate each of the double integral in the exercise 37-54 as iterated integrals

鈭�鈭�R(y2)dAWhereR={(x,y)|-3鈮�x鈮�2,-2鈮�y鈮�2}

Short Answer

Expert verified

The value of integral is803units

Step by step solution

01

Given information

We are given an integral

鈭�鈭�R(y2)dAWhereR={(x,y)|-3鈮�x鈮�2,-2鈮�y鈮�2}

02

Use iterated integral

We get,

鈭�-22鈭�-32y2dxdy=鈭�-22[xy2]2-3dy=鈭�-225y2dy=[53y3]2-2dy=803

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