Problem 2 - Review of line-integral and Ampere's law.

A conductor with a rectangular cross section comes out of the page in the direction of the

positive z-axis. On the plane z=0 the corners of the conductor are denoted (x,y) at (0,0),

(2,0), (2,1),(0,1). On this plane z=0 the field intensity may be expressed

H=(1+x²y³)a +(1+y)a,

How much current is flowing in the positive as direction in the conductor?