# Integral using Stokes Theorem

$\int\limits_\alpha {\left( {y - z} \right)dx + \left( {z - x} \right)dy + \left( {x - y} \right)dz}$
Being $\alpha$ a customization of the curve given by the equations
$\alpha$ :
$x^2 + 4y^2 = 1 \wedge x^2 + y^2 = z$