Calculate the line integralnbspintc dz on the line segment

Question

Show that following differential is exact:

dz = (ye^xy) dx + (xe^ey) dy

b) Calculate the line integral ∫_c dz on the line segment from (0,0) to (2,2). On this line segment, y=x and x=y.

c) Calculate the line integral ∫_c dz on the path going from (0,0) to (0,2) and then to (2,2) (rectangular path).