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math_proof

triple integrals in spherical coordinates

  • one year ago
  • one year ago

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  1. math_proof
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    \[\int\limits_{}^{}\int\limits_{}^{}\int\limits_{}^{}(x^2+y^2+z^2)^{5/2}\]

    • one year ago
  2. math_proof
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    i know it going to be p^5 but what will the ingtegrals be

    • one year ago
  3. zepdrix
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    Do we have a region we're integrating over? D: Any boundaries like z=0, x=0 or anything? :O Or you're more concerned with just converting it correctly right now? :)

    • one year ago
  4. math_proof
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    it just states that it is the unit ball

    • one year ago
  5. zepdrix
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    oh i see :)

    • one year ago
  6. math_proof
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    so i guess the theta will be from 0 to 2pi right?

    • one year ago
  7. zepdrix
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    \[z= \rho \cos \phi\]\[x=\rho \cos \theta \sin \phi\]\[y=\rho \sin \theta \sin \phi\] \[(x^2+y^2+z^2)=(\rho^2)\] Oh oh you said you already figured that part out :) my bad. Yah theta will range from 0 to 2pi. Phi from 0 to pi I think... and Rho from 0 to our radius (1 since it's the UNIT ball).

    • one year ago
  8. zepdrix
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    \[\huge \int\limits_{\theta=0}^{2\pi}\int\limits_{\phi=0}^{\pi}\int\limits_{\rho=0}^{1}\rho^5 (\rho^2 \sin \phi d \rho d \phi d \theta)\] Somethinggggg like that. Thinkinggg..

    • one year ago
  9. math_proof
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    yeap its right thanks

    • one year ago
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