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

- $\dfrac{24 \pi i}{13} \\$
- $\dfrac{48 \pi i}{13} \\$
- $\dfrac{24}{13} \\$
- $\dfrac{12}{13}$