Summary: 15.3 Double Integrals over General Region
Evaluating Double Integrals over General (Non-Rectangular) Regions
We will consider two types of regions
1
Type I region
A region bounded by
· the lines ,x a x b= =
and
· the curves 1 2( ), ( )y g x y g x= =
with [ ]1 2( ) ( ) ,g x g x x a b
Type I region is
1 2{( , ): , ( ) ( )VR x y a x b g x y g x=
2 ( )y g x=
1( )y g x=
X
Type II region
A region bounded by
· the lines ,y c y d= =
and
· the curves 1 2( ), ( )x h y x h y= =