I am supposed to evaluate the flux with the vector field:
$F=x^{2}i+y^{2}j+z^{2}k$, outward across the boundary of the given solid region
the ball: $(x-2)^2 + (y)^2 +(z-3)^2 \le 3^2$
The reason i'm asking is because this is how the evaluated the flux in my book:
However I am unfamiliar with this method.
How could I approach this differently with translation?
I'm was thinking that I could translate $u =x-2$ and likewise for the other variables y,z.
Then translate this into spherical coordinates. Is the thinking somewhat correct?