1) ∫_C (e^2y -2xy)dx + (2xe^2y - x² +1)dy, C:r(t) = t, 1+t>, t = 0 to t=1

2) ∫_C F.dr, where F(x, y) =  (2x -e^-y)i + (4y + xe^-y)j, and C:y = x⁴, y = 0 to X =2

3) ∫_C X² Ydx - xy²dy where C is the boundary of the region in the first quadrant

4) A particle, starting at (5, 0), transverses the upper seicrcle x² + y² = 25 and returns to its position along the x- axis. Find the work done on the particle by a force

F(x,y) = xyi + (x² + 2xy)/2j