Stokes’ Theorem for evaluating line integrals Evaluate theline integral ∮C F ⋅ dr by evaluating the surface integral in Stokes’Theorem with an appropriate choice of S. Assume C has a counterclockwiseorientation. F = ⟨x2 - y2, z2 - x2, y2 - z2⟩; C is the boundary of thesquare | x | ≤ 1, | y | ≤ 1 in the plane z = 0.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Stokes’ Theorem for evaluating line integrals Evaluate the
line integralC F dr by evaluating the surface integral in Stokes’
Theorem with an appropriate choice of S. Assume C has a counterclockwise
orientation.

F = ⟨x2 - y2, z2 - x2, y2 - z2⟩; is the boundary of the
square | x | ≤ 1, | y | ≤ 1 in the plane z = 0.

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