Module 14 : Double Integrals, Applilcations to Areas and Volumes Change of variables
Lecture 41 : Triple integrals [Section 41.1]
The region has the property that it can be projected onto the -plane, in this case the set is the projection. This theorem reduces the computation of the triple integral to that of an ordinary integral and a double integral. For example, if itself can be further expressed as a type-I elementary domain as
where
are continuous functions, then
Similarly if can be further expressed as a type-II domain as
has the property that it can be projected onto the 
-plane, in this case the set 
is the projection. This theorem reduces the computation of the triple integral to that of an ordinary integral and a double integral. For example, if 
itself can be further expressed as a type-I elementary domain as 
can be further expressed as a type-II domain as 
