Set up an integral in spherical coordinates to evaluate $$ \iiint_E \frac{3}{\sqrt{x^2+y^2}} dV $$ where E is the region bounded by the spheres $$ x^2+y^2+z^2 = 9 $$ and $$ x^2+y^2+z^2 = 25 $$ in the octant given by $$ x < 0, y > 0, \text{ and } z > 0. $$
Choose values from the domains: $$ \rho \ge 0, 0 \le \theta \le 2\pi, \text{ and } -\frac{\pi}{2} \le \phi \le \frac{\pi}{2} $$. Enter rho to denote $$ \rho $$, theta to denote $$ \theta $$, phi to denote $$ \phi $$, and pi to denote $$ \pi $$.
$$ \int_{\square}^{\square} \int_{\square}^{\square} \int_{\square}^{\square} \square d\rho d\theta d\phi $$
Complete the integration. Enter an exact answer.
