# Line Integral around a Square

Calculus Level 3

Evaluate the following line integral: $\oint_C \left[ \big(4x^2 + 3x + 5y\big)\, dx + \big(6x^2 + 5x + 3y\big)\, dy \right],$ where $$C$$ is the path around the square with vertices $$(0,0), (2,0), (2,2)$$ and $$(0,2)$$.

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