   Chapter 15, Problem 10RE

Chapter
Section
Textbook Problem

Write ∬ R f ( x ,   y )   d A as an iterated integral, where R is the region shown and f is an arbitrary continuous function on R. To determine

To write: The integral Rf(x,y)dA as an iterated integral.

Explanation

Calculation:

From the given figure, it is observed that the given portion is an triangle. Since, triangular region is given, use of rectangular coordinates is more appropriate to use with. From the given figure, it is observed that the equations of the sides of the triangle are 4y and y4 . So, x varies from 0 to 4 and y varies from y4 to 4y . Thus, the required integral is given by, Rf(x,y)dA=04

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