1. The problem statement, all variables and given/known data Evaluate the integral as either a volume integral of a surface integral, whichever is easier. [itex]\iiint \nabla .F\,d\tau[/itex] over the region [itex]x^2+y^2+z^2 \leq 25[/itex], where [itex]F=(x^2+y^2+z^2)(x*i+y*j+z*k)[/itex] 2. Relevant equations [itex]\iiint \nabla .F\,d\tau =\iint F.n\,d\sigma[/itex] 3. The attempt at a solution I believe this would be easier to do as a volume integral though I am honestly not sure saying I am not really understand how things like line integrals and surface integrals work in the sense of things like Stokes Theorm and Div. Theorm. For the volume intregral I did just integrated the Div(F) from -5 to 5 for all three integrals saying that is the range each of the variables will go through. I plugged this into Wolfram Alpha and got an answer of 25000 though I am not sure if I did this question correctly. If I wanted to do a solve this using the right hand side of the Div. Theorem how would I approach this?