Using the divergence theorem, evaluate

,

where

is the bundary of the region defined by

, and n is the outward unit normal.

examples in notes only do this then F differentiates so that once the first integration is done, it can be simplified to something times

, if you follow me. This one doesnt do that as far i can see so i dont know what to do...

My workings so far...

Now is the point i was talking about where it has become simplified so that r may be used but i have no idea what to do here.

If it helps heres the latex i used so you dont have to type it out again...

\int \int {\int}_R (4 - 4y + 2z^2)dxdydz =

just modify that

Cheers!

Anyone else here from Edinburgh and pissed off about spending the last week in the library revising for the exams while outside had turned into the mediterranean and now come the weekend... Suns gone away... Grim.