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Find the Line Integral Of F⃗=(3x−2y)i⃗+(3x+5y)j⃗\vec{F}=(3 x-2 y) \vec{i}+(3 x+5 y) \vec{j}

Question 25

Essay

Find the line integral of F⃗=(3x−2y)i⃗+(3x+5y)j⃗\vec{F}=(3 x-2 y) \vec{i}+(3 x+5 y) \vec{j} around the curve consisting of the graph of y = xn from the origin to the point (1, 1), followed by straight lines from (1, 1)to (0, 1)and from (0, 1)back to the origin.

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