9 нояб. 2020 г. · To evaluate a triple integral in spherical coordinates, use the iterated integral ∫θ=βθ=α∫ρ=g2(θ)ρ=g1(θ)∫u2(r,θ)φ=u1(r,θ)f(ρ,θ,φ)ρ2sinφdφdρdθ. Integration in Cylindrical... · Integration in Spherical... |
Converting to spherical coordinates can make triple integrals much easier to work out when the region you are integrating over has some spherical symmetry. |
To perform triple integrals in spherical coordinates, and to switch from spherical coordinates to cylindrical or Cartesian coordinates, you use: r = ρ sin φ; x ... |
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