Module 14 :  Double Integrals, Applilcations to Areas and Volumes Change of variables
Lecture 41 :  Triple integrals  [Section 41.1]
41.1.2 Theorem (Fubini's):
 

Suppose is closed and bounded, given by

where are continuous functions. Let be continuous. Then,

   
41 .1.3

Note:

  Note in theorem 41.1.2, the region is bounded below by the surface above by the surface and on the side by a cylinder parallel to -axis.
 
      Figure: Region with projection in -plane
1