# What is an iterated integral?

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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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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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.

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.

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.

- How do you integrate #[((3x^2)+2x)/x^2]dx# from 4 to 2?
- How do you evaluate the definite integral by the limit definition given #int (2x+5)dx# from [0,2]?
- How do you integrate # sqrt3sinx(cosx)^0.5#?
- How do you find the partial sum of #Sigma (250-8/3i)# from i=1 to 60?
- How do you integrate #7/(x^2+1)# using partial fractions?

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