1. The problem statement, all variables and given/known data Evaluate the following line integral ∫y^2 dx + x dy where C is the line segment joining the points (-5,-3) to (0,2) and is the arc of the parabola x= 4-y^2 2. Relevant equations Green's Theorem ∫ Mdx + Ndy = ∫∫ (∂N/∂x - ∂M/∂y ) dy dx 3. The attempt at a solution First of all i found the equation of line joining the above points ... which is x = y-2 the i started evaluate the integral by putting following limits i-e ∫( from y= -3 to y= 2) ∫( from x= y-2 to x=4-y^2) ( ∂N/∂x - ∂M/∂y ) dx dy and i solved it further. please guide me whether it is the correct method and my limits are correct or wrong or i have to go for line integral instead of green's th: waiting for reply..