Question

state and
stoke's theorem?
prove​

Answer 1

Answer:

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.

if we define a 2-dimensional vector field G = (G1,G2) on the st-plane by G1 = F · ∂ r ∂s and G2 = F · ∂ r ∂t , then ∫BF · d r = ∫CG · d s , using s to denote the position vector of a point in the st-plane. ∂s × ∂ r ∂t ds dt.

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Answer 2

Answer:

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.” Where, C = A closed curve. S = Any surface bounded by c