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Double integrals


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The double integral in polar coordinates


Equations are omitted for technical reasons - download the original pdf

We can use the above formula to find the form of the double integral in polar coordinates. Functions mapping polar to Cartesian coordinates are [Equation goes here - download the original pdf to see it.] The Jacobian is [Equation goes here - download the original pdf to see it.] Then [Equation goes here - download the original pdf to see it.] [Example goes here - download the original pdf to see it.]
Contents of
Double integrals

1 Double integral
2 Evaluation of a double integral
3 Some applications double integrals
4 Change of variables
5 The double integral in polar coordinates

Related articles: (1) Partial derivatives and the calculus of surfaces, (2) Double integrals