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The value of the integral

$$\oint _{c}\dfrac{2z+5}{\left ( z-\dfrac{1}{2} \right ) \left (z^{2} -4z+5 \right )}dz$$

over the contour $\mid z \mid=1$, taken in the anti-clockwise direction, would be

  1. $\dfrac{24 \pi i}{13} \\$
  2. $\dfrac{48 \pi i}{13} \\$
  3. $\dfrac{24}{13} \\$
  4. $\dfrac{12}{13}$
in Differential Equations by (9.3k points)
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