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![Consider the vector field
\[
\vec{F}(x, y)=(2 x+3+3 y) \vec{i}+(\cos (y)+3 x+2 * 2 y) j
\]
and the path \( P \) that starts f](https://media.cheggcdn.com/study/fef/fef048af-6696-45da-b8bc-ab80388b89e5/image)
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