# Stokes' theorem $\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$ verification

$$\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$$

where $F=(2x,3xy^2,5z)$ where $S$ is the surfce of the paraboloid

\[z=4-x^2-y^2, z\geq 0\]

and $C=\partial S$.

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