Use Stokes' Theorem to evaluate the line integral C y3 dx + 1 dy + (x +
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Question:
Use Stokes' Theorem to evaluate the line integral ∫C y3 dx + 1 dy + (x + z2) dz,
where C is the triangle with vertices (2, 0, 0), (0, 2, 0), and (0, 0, 2), oriented counterclockwise as viewed from above. Then verify Stokes' Theorem by evaluating the line integral directly.
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