Module 14 :  Double Integrals, Applilcations to Areas and Volumes Change of variables
Lecture 41 :  Triple integrals  [Section 41.1]
 

Let us evaluate

where is the solid wedge in the first actant cut from the cylindrical solid by the planes and .

 
                  Figure: and its projection onto -plane
 

The region can be written as



where is the projection of the wedge on the -plane and is given by

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