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What is an iterated integral?

Answer 1

Scarlett Allison

It is an integral that occurs when you apply the process of integration to more than one variable.

Some example would be:

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Answer 2

Christopher Agresta

An iterated integral is a type of definite integral that involves integrating a function of multiple variables over a specified region by breaking it down into a sequence of single-variable integrals. This process typically involves performing one integration at a time, with each integration corresponding to a different variable in the function. Iterated integrals are commonly used in multivariable calculus to calculate volumes, areas, and other quantities in higher-dimensional spaces.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.