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