1. The problem statement, all variables and given/known data
##\iiint_W (x^2+y^2+z^2)^{5/2}## W is the ball ##x^2+y^2+z^2 \le 1##
3. The attempt at a solution
changing to spherical
##0 \le \theta \le 2\pi ; 0 \le \phi \le \pi ; 0 \le \rho \le 1##
##(x^2 + y^2 + z^2)^{5/2} \Rightarrow ((\rho \sin \phi \cos \theta)^2 + (\rho sin \phi \sin \theta)^2 + (\rho \cos \phi)^2)^{5/2} = \rho^5##
##\int_{0}^{2\pi}\int_{0}^{\pi}\int_{0}^{1}\rho^5(\rho^2\sin\phi) d\rho d\phi d\theta##
Is that a correct setup?
##\iiint_W (x^2+y^2+z^2)^{5/2}## W is the ball ##x^2+y^2+z^2 \le 1##
3. The attempt at a solution
changing to spherical
##0 \le \theta \le 2\pi ; 0 \le \phi \le \pi ; 0 \le \rho \le 1##
##(x^2 + y^2 + z^2)^{5/2} \Rightarrow ((\rho \sin \phi \cos \theta)^2 + (\rho sin \phi \sin \theta)^2 + (\rho \cos \phi)^2)^{5/2} = \rho^5##
##\int_{0}^{2\pi}\int_{0}^{\pi}\int_{0}^{1}\rho^5(\rho^2\sin\phi) d\rho d\phi d\theta##
Is that a correct setup?
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