Have you forgotten that this is in the xy plane? z= 0 in the xy plane!My thinking is as follows: the three squares are identical, so I need only find the surface integral for one square and multiply it by 3.
I start with , the square in the xy plane. The unit normal vector, , is equal to and the surface integral becomes:
I know the surface integral should overall evaluate to zero, but repeating this for the 3 surfaces, I get
I'm fairly sure I've missed something here, but not sure what. Any suggestions?
Thanks for taking the time to read this.