Week 4. Double integrals in polar coordinatessweers/onderwijs/etwi-an/Analysis3Week4.pdf · Week 4. Double integrals to iterated integrals by polar coordinates Fubini’s Theorem

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Week 4. Double integralsin polar coordinates

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Week 4. Double integralsin polar coordinates, heuristics

Cartesian coordinates Polar coordinates

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Week 4. Double integrals to iteratedintegrals by polar coordinates

Fubini’s Theorem in polar coordinates

Sometimes such adomain is calleda polar rectangle.

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Week 4. Integrating with polarcoordinates, an example

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Week 4. The area of a domain

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Week 4. An example, the area, a

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Week 4. An example, the area, b

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Week 4. Physical applications:mass, first moments

(impulsmoment)

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Week 4. Physical applications:the center of mass

(zwaartepunt)

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Week 4. Physical applications:second moments

(traagheidsmoment)