Wednesday, 28 November 2018

calculus - Double Integral from Polar to Cartesian Coordinates

I know that when converting a double integral from Cartesian to Polar Coordinates, the Jacobian is equal to r and so we get $\iint dxdy$ $=$ $\iint rdrd\theta$. But what if I wanted to go from Polar to Cartesian Coordinates? What would the Jacobian be?

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