Verify Green’s Theorem for the vector field F = x i + y j and the region Ω being the part below the diagonal y = 1 − x of the unit square with the lower left corner at the origin.
i) Sketch the region. Indicate the appropriate orientation of the boundary curve.
ii) Compute the line integral and the double integral given in Green’s Theorem and compare them.
****For part (ii) I could not understand how the line integral was computed. I broke it down to the 3 lines but I do not know hoe to set up the integral for the diagonal line.Would greatly appreciate your help!****