# Thread: Integral using Stokes Theorem

1. ## Integral using Stokes Theorem

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