Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise. 3xy dx + 4xy dy, where Cis the rectangle bounded by x = – 1,x = 2, y = 2, and y = 4. O 3xy dx + 4xy dy =

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A: We can find the true  statements as below.

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A: For critical points ofa function we first find the derivative of the function and equate it to zero.

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A: Integral by parts:∫uv dx =u∫vdx -∫dudx ∫vdx dxu=xv=sin x∫ vdx =∫sinx dx = -cos x+Cdudx=ddx(x)=1

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