Calculus 3 : Multiple Integration

Study concepts, example questions & explanations for Calculus 3

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Example Questions

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Example Question #1 : Multiple Integration

Evaluate , where  is the region below the plane  , above the  plane and between the cylinders , and .

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We need to figure out our boundaries for our integral.

We need to convert everything into cylindrical coordinates. Remeber we are above the  plane, this means we are above .

The region  is between two circles , and .

This means that 

 

Example Question #1 : Multiple Integration

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Example Question #3 : Multiple Integration

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Example Question #4 : Multiple Integration

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Example Question #5 : Multiple Integration

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Example Question #6 : Multiple Integration

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Example Question #1 : Multiple Integration

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Example Question #461 : Calculus 3

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Example Question #9 : Multiple Integration

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Example Question #1 : Triple Integration In Cylindrical Coordinates

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