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Multivariable calculus

Course: Multivariable calculus > Unit 5

Lesson 5: Stokes' theorem
Math
Multivariable calculus
Green's, Stokes', and the divergence theorems
Stokes' theorem
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Stokes' theorem

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Problem

Assume that S is an outwardly oriented, piecewise-smooth surface with a piecewise-smooth, simple, closed boundary curve C oriented positively with respect to the orientation of S.
∮C(4yı^+zcos⁡(x)ȷ^−yk^)⋅dr
Use Stokes' theorem to rewrite the line integral as a surface integral.
∬S(
ı^+
ȷ^+
k^)⋅dS
Stuck?
Stuck?