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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
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- 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!
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- 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!
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Practice
- Triple integralsGet 3 of 4 questions to level up!
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Practice
- Change of variables: BoundGet 3 of 4 questions to level up!
- Change of variables: FactorGet 3 of 4 questions to level up!
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- Double integrals in polarGet 3 of 4 questions to level up!
- Integrals in spherical and cylindrical coordinatesGet 3 of 4 questions to level up!
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Practice
- Find area elementsGet 3 of 4 questions to level up!
- Surface integrals to find surface areaGet 3 of 4 questions to level up!
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