Question: Evaluate the line integral C F dr by evaluating the surface integral in Stokes Theorem with an appropriate choice of S. Assume that

Evaluate the line integral ∮_C F • dr by evaluating the surface integral in Stokes’ Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation.

F = (xz, y, 2xz); C is the boundary of the plane

F = (xz, y, 2xz); C is the boundary of the plane z = 4 - x - y in the first octant.

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To evaluate the line integral C F dr using Stokes Theorem we need to find an appropriate surface S whose boundary is C In this case C is the boundary of the plane z 4 x y in the first octant First let... View full answer

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