For spherical coordinates, [itex]u(r,\theta,\phi)[/itex] is function of [itex]r,\theta,\phi[/itex]. [itex]a[/itex] is constant and is the radius of the spherical region. Is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{0}^{2\pi}\int_{0}^{\pi}\frac{\partial\;u(r,\theta,\phi)}{\partial {r}}a^2\sin\theta d\theta d\phi=\frac{\partial}{\partial {r}}\left[\int_{0}^{2\pi}\int_{0}^{\pi}u(r,\theta,\phi)a^2\sin\theta d\theta d\phi\right][/tex]

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# Verify pulling out the partial derivative.

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