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# Unit: Integrating multivariable functions

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### About this unit

There are many ways to extend the idea of integration to multiple dimensions: some examples include Line integrals, double integrals, triple integrals, and surface integrals. Each one lets you add infinitely many infinitely small values, where those values might come from points on a curve, points in an area, or points on a surface. These are all very powerful tools, relevant to almost all real-world applications of calculus, especially in physics.### Learn

### Practice

- Line integrals in vector fieldsGet 3 of 4 questions to level up!
- Line integrals in conservative vector fieldsGet 3 of 4 questions to level up!
- Distinguishing conservative vector fieldsGet 3 of 4 questions to level up!
- Potential functionsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

### Learn

### 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!

Level up on the above skills and collect up to 320 Mastery points

### Learn

### Practice

- Triple integralsGet 3 of 4 questions to level up!

### Learn

- No videos or articles available in this lesson

### Practice

- Change of variables: BoundGet 3 of 4 questions to level up!
- Change of variables: FactorGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

### Learn

### Practice

- Double integrals in polarGet 3 of 4 questions to level up!
- Integrals in spherical and cylindrical coordinatesGet 3 of 4 questions to level up!

### Learn

### Practice

- Find area elementsGet 3 of 4 questions to level up!
- Surface integrals to find surface areaGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

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Level up on all the skills in this unit and collect up to 1600 Mastery points!