Calculus 3 Quiz
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INTEGRAL THEOREMS
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Consider the line integral ∮C(exsin⁡y−2y) dx+(excos⁡y+x2) dy\oint_C (e^x \sin y - 2y) \, dx + (e^x \cos y + x^2) \, dy where CC is the boundary of the triangular region with vertices at (0,0)(0,0), (2,0)(2,0), and (0,3)(0,3), oriented counterclockwise. Which of the following correctly represents the application of Green's Theorem to evaluate this integral?
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