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How do I do a coordinate transformation (cartesian to polar) in a double integral using sympy? For example, from:

Integral(exp(-x**2-y**2), (x,-oo,oo), (y,-oo,oo))

To:

Integral(exp(-r**2)*r, (r,0,oo), (t,0,2*pi))
Benjamin
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Claudio Hartzstein
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    I don't think SymPy has a built in function for doing this yet, but that doesn't preclude the possibility of doing it manually. – asmeurer Aug 05 '16 at 16:40
  • Technically, it wouldn't be that hard to implement the transformation of the integrand expression, it's a variable substitution multiplied by the jacobian determinant of the transformation. The hard part is the determination of the integration limits for the new variables. – Francesco Bonazzi Aug 23 '16 at 09:33

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