MediumChange of variables

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.4 Cylindrical and Spherical Coordinates, #24 · Multivariable Calculus · Change of variables

Find the mass of a planet of radius …, if its density…

Find the mass of a planet of radius $R$ , if its density at each radius $ρ$ is $δ = (ρ + 1) / ρ$ . Notice the infinite density at the center, but finite mass $M = ∭ δ d V$ . Here $ρ$ is radius, not density.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.4 Cylindrical and Spherical Coordinates, #24

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