Create bs22b044.tex

bs22b044.tex

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+\section{BS22B044}
+Stokes Theorem (also known as Generalized Stoke’s Theorem) is a declaration about the integration of differential forms on manifolds, which both generalizes and simplifies several theorems from vector calculus. As per this theorem, a line integral is related to a surface integral of vector fields. Learn the stokes law here in detail with formula and proof.
+\\
+The Stoke’s theorem states that “the surface integral of the curl of a function over a surface bounded by a closed surface is equal to the line integral of the particular vector function around that surface.”
+\begin{equation}
+    \oint_C \vec{F} \cdot d\vec{r} = \int_S \nabla \times \vec{F} \cdot d\vec{S}
+\end{equation}\\
+Where,
+C = A closed curve. \\
+S = Any surface bounded by C.\\
+F = A vector field whose components have continuous derivatives in an open region of $R^3$containing S.\\ 
+Stokes’ theorem provides a relationship between line integrals and surface integrals.Stokes’ theorem and the generalized form of this theorem are fundamental in determining the line integral of some particular curve and evaluating a bounded surface’s curl. Generally, this theorem is used in physics.
+\footnote{REFERENCE:-https://byjus.com/maths/stokes-theorem/}
+\\
+\\
+NAME:-Anchal Chinchkhede  \\
+GITHUB ID:-AnchalChinchkhede