Triple Integrals

Tutoring on Triple Integrals

Learning Objectives:

Understand and Apply Triple Integrals.

Math Tutoring on Triple Integrals

If  is continuous over a bounded solid region V, then the Triple Integral of f over V is defined as:

Some Characteristics of Triple Integrals:

1.    This is an extension of the idea of double integrals.

2.    For Triple Integrals, V is a 3D region. For double integrals, R is a 2D region.

3.    For Triple Integrals there are 6 possible orders of integration such that

·       .

·       .

·       .

 

Evaluating Triple Integrals in Math Tutoring:

If f is continuous on a solid region V defined by

where  are continuous function then,

 

 

 

 

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Hook Questions:

1.    Define Triple Integrals.

2.    State some characteristics of Triple Integrals.

3.    How to evaluate Triple Integrals?

 

 

 

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