Shorts | Cartesian to Polar | 𝒅𝒙 𝒅𝒚 = 𝒓 𝒅𝒓 𝒅𝜽

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The Math Virtuoso

The Math Virtuoso

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The double integral can be changed from Cartesian coordinates (𝑥, 𝑦) to polar coordinates (𝑟, 𝜃) by putting 𝒙 = 𝒓 𝒄𝒐𝒔⁡𝜽, 𝒚 = 𝒓 𝒔𝒊𝒏⁡𝜽 using the Jacobian (functional determinant).
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