   Chapter 14.2, Problem 59E

Chapter
Section
Textbook Problem

Volume Let R be a region in the xy-plane whose area is B. When f ( x , y ) = k for every point (x, y) in R, what is the value of ∫ R ∫ f ( x , y )   d A ? Explain.

To determine

To calculate: What the value of integral Rf(x,y)dA will be.

Explanation

Given:

R is the region in the xy plane with area B and f(x,y)=k for every point (x,y) in R.

Formula used:

Double integral formula is:

Rf(x,y)dA=RkdA

Calculation:

The value of the integral Rf(x,y)dA is given by:

Rf(x,y)dA=

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