Prove that the total gravitational potential energy can be written as W = .5 ∫d3xρ(x)Φ(x). ρ(x) and Φ(x) are the density and gravitational potential at location x in space, respectively.

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Prove that the total gravitational potential energy can be written as W = .5 ∫d3xρ(x)Φ(x). ρ(x) and Φ(x) are the density and gravitational potential at location x in space, respectively.

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