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Triple Integral in Spherical Coordinates - Visualizer

Triple Integral in Spherical Coordinates - Visualizer
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2020-04-03 10:50
Solid GeometryCalculusIntegral
This example demonstrates how to compute a triple integral in spherical coordinates. It involves key mathematical concepts such as triple integrals, spherical coordinates, and density functions. Using GeoGebra commands like Textfield and Sequence, users can dynamically adjust parameters to observe changes in the integral value. Suitable for university mathematics students and educators.

GeoGebra Commands & Parameters

  1. Textfield(ϕ_2) → InputBox2
  2. Textfield(ϕ_1) → InputBox1
  3. Textfield(ρ_2) → InputBox6
  4. Textfield(ρ_1) → InputBox5
  5. Textfield(θ_1) → InputBox3
  6. Textfield(θ_2) → InputBox4
  7. Sequence(Sequence[Segment[(((ρ_1(t, p) * sin(p)) * cos(t)), ((ρ_1(t, p) * sin(p)) * sin(t)), (ρ_1(t, p) * cos(p))), (((ρ_2(t, p) * sin(p)) * cos(t)), ((ρ_2(t, p) * sin(p)) * sin(t)), (ρ_2(t, p) * cos(p)))], t, θ_1(p), θ_2(p), Dt], p, ϕ_1, ϕ_2, Dp) → l1