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Math Help - Integral using Stokes Theorem

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    Integral using Stokes Theorem

    Calculate integral curvilinear using the theorem Stokes
    $\int\limits_\alpha  {\left( {y - z} \right)dx + \left( {z - x} \right)dy + \left( {x - y} \right)dz}$

    Being $\alpha $ a customization of the curve given by the equations
    $\alpha$ :

    $x^2  + 4y^2  = 1 \wedge x^2  + y^2  = z$
    Last edited by mr fantastic; July 19th 2010 at 01:05 AM. Reason: Re-titled.
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