Modul
e
14 : Double Integrals, Applilcations to Areas and Volumes Change of variables
Lecture
41 : Applications of multiple integrals [Section 41.2]
The region
is given by
The required area is
(ii)
Let us find the volume of the cylinder
bounded by the planes
.
Figure:
and its projection in
-plane
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is given by 
bounded by the planes 
.
and its projection in 
-plane 
