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I need to change some triple integrals from Cartesian coordinates to cylindrical coordinates. I understand the geometry used to derive the equations for doing so, but I have a question about the Jacobian. We need to adjust by the absolute value of the determinant of the Jacobian to evaluate the transformed integral.

My professor's notes are a bit spotty, so I have been trying to teach myself from the internet.

At this wikipedia link (http://en.wikipedia.org/wiki/List_o...ransformations#From_cylindrical_coordinates_2)

It gives me the Jacobian for moving FROM Cartesian TO cylindrical coordinates.

However, this link (http://www.math24.net/triple-integrals-in-cylindrical-coordinates.html)

gives a different Jacobian for converting FROM Cartesian TO cylindrical coordinates.

Which one is correct?

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# Clarification on Jacobians please

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