Thread: Vector Calculus: Green's Theorem on a Square

I have a square described by the following eq: x=0, x=1, y=0 and y=1.

I'm computing the Green's Theorem for the function (e^y)dx+(2xe^y)dy.


So...

Line Integral of (e^y)dx+(2xe^y)dy = Double Integral of (dQ/dX - dP/dY)dA = Double Integral of e^ydA

Since I'm on a square, shouldn't the bounces of my double integral be 0 and 1 for X and 0 and X for Y?

The answer should be e-2 right?

∮▒e^y dx+2xe^y dy= ∬_0^x▒e^y dydx