Sort each theorem: connects which types of integrals?

Line ↔ Double integral: Green's theorem, $\oint P\,dx + Q\,dy = \iint (Q_{x} - P_{y})\,dA$, Area via line integral: $\frac{1}{2}$∮(xdy−ydx)

Surface ↔ Volume integral: Divergence theorem, ∬F$\cdot dS$ = ∭$\nabla\cdot F$ dV, Gauss's law in electrostatics

Green's theorem is 2D (line ↔ area); Divergence theorem is 3D (surface ↔ volume).