Let $$ \eta = x^2 \, dy \wedge dz + yx\,dz \wedge dx + z^3 \, dx \wedge dy $$
Can you show me how to calculate :
$$ \int_{\Phi} \eta, $$ where $ \Phi $ is supposed to be the parametrization of the unitsphere in $\mathbb{R}^3? $
Any help very appreciated !!