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15.7 Triple Integrals Triple integrals
 

Summary: 15.7 Triple Integrals
1
Triple integrals
Notation: ( , , )
G
f x y z dV
Where G is the solid anddV dxdydz= or any other seven forms.
All rules are same as in case of double integral.
Dfinition
Let G x be the{( , , ) : , , }y z a x b c y d r z s=
]
rectangular box. Divide this box into sub-boxeslmn
1 1 1[ , ] [ , ] [ ,ijk i i j j k kG x x y y z z- - -= . Then the triple integral over
The box G is
* * *
, ,
1 1 1
lim ( , , )( , , )
l m n
ijk ijk ijk

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics