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# Unit: Integrating multivariable functions

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## Line integrals in vector fields (articles)

#### Quiz 1

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## Double integrals

Practice
Iterated integralsGet 3 of 4 questions to level up!
Double integrals with variable boundsGet 3 of 4 questions to level up!
Finding bounds of regionsGet 3 of 4 questions to level up!
Switching bounds on double integralsGet 3 of 4 questions to level up!

#### Quiz 2

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## Triple integrals

Practice
Triple integralsGet 3 of 4 questions to level up!

## Change of variables

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No videos or articles available in this lesson
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Change of variables: BoundGet 3 of 4 questions to level up!
Change of variables: FactorGet 3 of 4 questions to level up!

#### Quiz 3

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## Polar, spherical, and cylindrical coordinates

Practice
Double integrals in polarGet 3 of 4 questions to level up!

## Surface integrals (articles)

#### Quiz 4

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## Flux in 3D (articles)

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#### Unit test

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### About this unit

There are many ways to extend the idea of integration to multiple dimensions: Line integrals, double integrals, triple integrals, surface integrals, etc. Each one lets you add infinitely many infinitely small values, where those values might come from points on a curve, points in an area, points on a surface, etc. These are all very powerful tools, relevant to almost all real-world applications of calculus. In particular, they are an invaluable tool in physics.