   Chapter 15, Problem 21RE

Chapter
Section
Textbook Problem

Calculate the value of the multiple integral.21. ∬ R y e x y   d A , where R = {(x, y) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 3}

To determine

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

Explanation

Given:

The rectangular region is, R={(x,y)|0x2,0y3} .

Calculation:

First, compute the integral with respect to x.

RyexydA=03[02yexydx]dy=03[exy]02dy

Apply the limit value for x,

RyexydA=03(e2y

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