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Math Help - Vector Calculus: Green's Theorem on a Square

  1. #1
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    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 (ey)dx+(2xey)dy.


    So...

    Line Integral of (ey)dx+(2xey)dy = Double Integral of (dQ/dX - dP/dY)dA = Double Integral of eydA

    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?
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  2. #2
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    Re: Vector Calculus: Green's Theorem on a Square

    ∮▒e^y dx+2xe^y dy= ∬_0^x▒e^y dydx
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