Answer
See the explanation below.
Work Step by Step
Stoke's Theorem states that: suppose $S$ is an oriented piece-wise smooth surface that is bounded by a simple, closed, piece-wise smooth curve $C$ with positive orientation. If $F$ is a vector field that has continuous partial derivatives on an open region in $R^3$ over the surface $S$, then: $\int_C F \cdot dr= \iint curl \space F \cdot dS$.
