Hi;
It is my understanding that Mathematica can perform calculus integration range coordinate transformation from, for example, from Cartesion to Polar or Cartesion to Cylindrical or Cartesion to Spherical or any other variation. However, I am having difficulty understanding exactly how to perform this transformation. Please review my attached notebook and help me understand what I am doing incorrectly.
Thanks,Mitch Sandlin
I would try IntegrateChangeVariables:
IntegrateChangeVariables
Inactive[Integrate][f[x, y], {x, 0, 1}, {y, -Sqrt[1 - x^2], Sqrt[1 - x^2]}, {z, Sqrt[x^2 + y^2], 1}] IntegrateChangeVariables[%, {r, theta, u}, "Cartesian" -> "Cylindrical"]