Consider the vector field shown below.
Graph of a vector field that points down along the positive y-axis, up along the negative y-axis, to the right along the positive x-axis, and to the left along the negative x-axis, with vectors in the quadrants smoothly making the transition from vertical to horizontal vectors.  Farther from the origin the vectors have larger magnitude.
(Note: For the vector field, vectors are shown with a dot at the tail of the vector.)

Let be the line from to , be the line from to , and be the semi-circle centered on the origin that goes from to in a counterclockwise direction.

Is the line integral of the vector field along each of these curves positive, negative or zero?
Along , the integral is
Along , the integral is
Along , the integral is

You can earn partial credit on this problem.