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The integral $\oint_{c}^{ } (ydx-xdy)$ is evaluated along the circle $x^2+y^2=\frac{1}{4}$ traversed in counter clockwise direction. The integral is equal to

  1. $0$
  2. $\frac{-\pi }{4}$
  3. $\frac{-\pi }{2}$
  4. $\frac{\pi }{4}$
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