## PhoenixFire 3 years ago Evaluate the surface integral: $\iint _{ S }^{ }{ \vec { F } \cdot \vec { dS } }$ Vector field: $\vec { F } =<y,z-y,x>$ Surface 'S': Tetrahedon $(0,0,0),(3,0,0),(0,3,0),(0,0,3)$ How do I do this? Do I need to evaluate each of the four surfaces separately and add them together?

1. anonymous

i believe so yes. my multi-variable calculus is a little rusty, but i believe your method is correct. do you want me to show you?

2. anonymous

use one of the theorems..............