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Math Help - Vector Calculus

  1. #1
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    Vector Calculus

    Calculate \iint\limits_S \vec{F} .\vec{n} dS :

    \vec{F}(x,y,z) = (x, -xy, z)

    S: x^2 + y^2 = R^2, bounded the planes by y = 1 and x + y = 4

    A.: 6\pi R^2
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  2. #2
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    Re: Vector Calculus

    Something's wrong with the equations for the region S.
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  3. #3
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    Re: Vector Calculus

    Quote Originally Posted by PedroMinsk View Post
    Calculate \iint\limits_S \vec{F} .\vec{n} dS :

    \vec{F}(x,y,z) = (x, -xy, z)

    S: x^2 + y^2 = R^2, bounded the planes by y = 1 and x + y = 4
    Since none of your equations involve z, z can be anything and the region is unbounded.
    Were the bounds supposed to be z= 1 and x+ z= 4?

    If so is the integral over the cylinder and planes or only over the cylinder?

    A.: 6\pi R^2
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