Q. 7

Question

What is the difference between a triple integral and an iterated triple integral?

Step-by-Step Solution

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Answer

A triple integral is the limit of a Riemann sum over a rectangular solid R as the limit of the mesh of subdivisions of R goes to zero.

An iterated triple integral is the result of three consecutive integrations in the order specified by the placement of the variables of integration.

1Step 1 . Given information

We need to write the difference between a triple integral and an iterated triple integral.

2Step 2 . The difference between a triple integral and an iterated triple integral:

A triple integral is the limit of a Riemann sum over a rectangular solid R as the limit of the mesh of subdivisions of R goes to zero.

An iterated triple integral is the result of three consecutive integrations in the order specified by the placement of the variables of integration.