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# Applying Green's Theorem to Line Integral

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According to Green's Theorem, which double integral is equivalent to the line integral:

$$\oint_{\partial R} 3x\sin y dx + x^2 e^y dy$$

A

$\iint_R (3\sin y - x^2 e^y) dA$

B

$\iint_R (3\sin y + x^2 e^y) dA$

C

$\iint_R (2x e^y + 3x\cos y) dA$

D

$\iint_R (2x e^y - 3x\cos y) dA$

E

$\iint_R (2x e^y - 3x\cos y) dxdy$