Is the Vector Field E=A[yex+xey] Conservative in a Simply Connected Space?

[Roodles01]

Homework Statement

Is the field (given below) in a simply connected region of space conservative

Homework Equations

E=A[ye_x+xe_y]

The Attempt at a Solution

What is a conservative electric field & how do I find whether it is . . . . .

 

[Roodles01]

Ah!

If a vector field is conservative then the integral round a closed loop in the domain is zero.

Oops, sorry.