# Integral using Stokes Theorem

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• July 18th 2010, 02:13 PM
rikelme23
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
$\alpha$ :

$x^2 + 4y^2 = 1 \wedge x^2 + y^2 = z$