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10.4** The calculation of centers of mass or moments of inertia usually involves doing an integral, most often a volume integral, and such integrals are often best done in spherical polar coordinates (defined back in Figure 4.16). Prove that Sav f(x) = fr²dr [s sin Ꮎ dᎾ √ do S do f(r, 0, 0). [Think about the small volume dV enclosed between r and r + dr, 0 and 0 + de, and and + do.] If the volume integral on the left runs over all space, what are the limits of the three integrals on the right?

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