   Chapter 15, Problem 3RCC

Chapter
Section
Textbook Problem

How do you change from rectangular coordinates to polar coordinates in a double integral? Why would you want to make the change?

To determine

To explain: How to change rectangular coordinates to cylindrical coordinates.

Explanation

Substitute x=rcosθ and y=rsinθ in the given problem to convert rectangular coordinates into cylindrical coordinates. The main reason to change the given problem is to make the problem easier. Thus, the integral becomes as given below.

If f is a polar rectangle R given by 0arb,αθβ, where 0βα

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