$\mathrm{VectorCalculus}\left[\mathrm{SetCoordinates}\right]\left(\mathrm{cartesian}\left[x\,y\right]\right)\:$

$\mathrm{VectorCalculus}\left[\mathrm{VectorField}\right]\left(⟨x y\,2 x\+3 y^2⟩\right)$

$\left(xy\right){\stackrel{\_}{e}}_x\+\left(2x\+3y^2\right){\stackrel{\_}{e}}_y$

$\mathrm{VectorCalculus}\left[\mathrm{LineInt}\right]\left(\,\mathrm{Ellipse}\left(\frac{x^2}{3}\+\frac{y^2}{10}-1\right)\right)$

$2\sqrt{10}\sqrt{3}\mathrm{\π}$