Can someone just help me set up the following integrals?
For the region R in the first octant bounded above by the plane x+y+z=1 and the surface S which is the boundary of this region, calculate for the vector valued function F=(x^2+y^2)i+(y^2+z^2)j+(z^2+x^2)k:
(i) triple integral (div F) dV
(ii) double integral (F*n) dS where n is the outward pointing unit normal.
Thank you for any help.