/               / /
                    |  ->     ->    | |
                    |   F dot dr =  | |  Q_x - P_y dA
                    |               | |
                   /               / /
                     C                 D

Let C be the curve that goes counter clockwise around the triangle
T = { (x,y) : 0 <= x <= 1, 0 <= y <= x}.

        ->
And let F = <5xexp(x^2), 3x^2>


Use Greens Theorem to compute

                     /           
                    |  ->     ->
                    |   F dot dr
                    |          
                   /          
                     C


Answer P = 5xexp(x^2), Q = 3x^2 so P_y = 0 and Q_x = 6x the double integral is
                        1    x                1
                       /    /                /
                      |    |                |      2
                      |    |   6 x dy dx =  |   6 x  dx = 2
                      |    |                |
                     /    /                /
                       0    0                0