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15.4 Double Integrals in Polar Coordinates Evaluating Double Integrals in Polar Coordinates
 

Summary: 15.4 Double Integrals in Polar Coordinates
Evaluating Double Integrals in Polar Coordinates
1
Simple polar region
A region defined by
( ){ }1 2, : and 0 ( ) ( )r r r r
where 2 -
Formula for evaluating double integral in polar coordinates
Given ( , )f r over a simple region given byR
( ){ }1 2, : and 0 ( ) ( )r r r r .
Then
2
1
( )
( )
( , ) ( , )
r
r
R
f r dA f r rdrd

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics