Evaluate the integrals: I =$\iiint(2x-y+z^2)dV$ where V is the ellipsoid $3x^2 +4y^2 + 5z^2 = 17.$
I tried converting the equation of the ellipsoid to Spherical Coordinates and got to 3$\rho^2cos^2\theta sin^2\phi + 4\rho^2sin^2\theta sin^2\phi +5\rho^2cos^2\theta.$
However, I was not sure how to continue after this.