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CalculusQ&A LibraryStokes’ Theorem for evaluating surface integrals Evaluatethe line integral in Stokes’ Theorem to determine the value of thesurface integral ∫∫S (∇ x F) ⋅ n dS. Assume n points in an upwarddirection. F = ⟨x + y, y + z, z + x⟩; S is the tilted disk enclosed byr(t) = ⟨cos t, 2 sin t, 13 cos t⟩ .Start your trial now! First week only $4.99!*arrow_forward*

Question

**Stokes’ Theorem for evaluating surface integrals** *Evaluate**the line integral in Stokes’ Theorem to determine the value of the**surface integral* *∫∫ _{S}* (

**F** = ⟨*x* + *y*, *y* + *z*, *z* + *x*⟩; *S* is the tilted disk enclosed by**r**(*t*) = ⟨cos *t*, 2 sin *t*, 13 cos *t*⟩ .

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