Math Help - finding work done by a vector field

1. finding work done by a vector field

Got a new problem:

Find the work done by the vector field F = {x^2 + y, y^2 +x, z} along the path which starts at (1,0,0) and then follows the segments from point to point connecting the following points (0,0,1), (0,1,0), and (1,0,1), in that order.

Thanks

2. Originally Posted by intrepidy
Got a new problem:

Find the work done by the vector field F = {x^2 + y, y^2 +x, z} along the path which starts at (1,0,0) and then follows the segments from point to point connecting the following points (0,0,1), (0,1,0), and (1,0,1), in that order.

Thanks
Hint for an easy way: F is a conservative field.