Evaluate the line integral of the closed curve C oriented counterclockwise
2026-03-30 03:35:44.1774841744
Evaluate the line integral with the given closed curve
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Hint: Applying Green's Theorem
$ \int_C (Pdx + Qdy) = \iint_D (\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial x}) dA$
When you find $\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial x}$, you will realize you get a number and your integral is that number multiplied by $\iint_D dA$. So simply calculate the area of the given closed path splitting into rectangles and squares, without integral. That should lead you to the answer.