   Chapter 15.1, Problem 28E

Chapter
Section
Textbook Problem

Calculate the double integral.28. ∬ R ( y + x y − 2 )   d A ,   R = { ( x , y ) | 0 ≤ x ≤ 2 ,   1 ≤ y ≤ 2 }

To determine

To calculate: The value of given double integral over the region R.

Explanation

Given

The rectangular region is, R={(x,y)|0x2,1y2} .

Calculation:

First, compute the integral with respect to y.

R(y+xy2)dA=02[12(y+xy2)dy]dx=02[y22+x(y1)]12dx

Apply the limit value for y,

R(y+xy2)dA=02[(222x21)(1

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