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I am trying to solve this triple integral for computing the potential: G*ρ*∫∫∫-atan((x*y)/(z*sqrt(x^2+y^2+z^2)))dxdydz with the limits x = 0 to 1000 z = 0 to 1000 and z = 0 to 1. The G is tha gravitational constant and ρ is the density of rock/earth.

I have tried to use multiple softwares(matlab, maxima, wolframalpha) for solving this, but can't find any solutions. I am not sure of what I am doing wrong, can anyone help me?

Thanks!

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# Triple Integral for earth potensial

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