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Integrating a delta function with a spherical volume integral
So ... the volume integral doesn't go to zero because the limiting process is different in spherical coordinates as opposed to Cartesian, and it matters whether I'm using a volume integral like ##\iiint dx~dy~dz## as opposed to ##\iiint dr~d\theta~d\phi## ? EDIT: That is, I understand that the...- counterpoint1
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- Forum: Calculus and Beyond Homework Help
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Integrating a delta function with a spherical volume integral
Homework Statement Integrate $$\int_V \delta^3(\vec r)~ d\tau$$ over all of space by using V as a sphere of radius r centered at the origin, by having r go to infinity. Homework EquationsThe Attempt at a Solution This integral actually came up in a homework problem for my E&M class and I'm...- counterpoint1
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- Delta Delta function Function Integral Spherical Spherical coordinates Volume Volume integral
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- Forum: Calculus and Beyond Homework Help