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The value of the integral $$\oint {\frac{{2{\text{z}} + 5}}{{\left( {{\text{z}} - \frac{1}{2}} \right)\left( {{{\text{z}}^2} - 4{\text{z}} + 5} \right)}}{\text{dz}}} $$      over the contour |z| = 1, taken in the anti-clockwise direction, would be

The value of the integral $$\oint {\frac{{2{\text{z}} + 5}}{{\left( {{\text{z}} - \frac{1}{2}} \right)\left( {{{\text{z}}^2} - 4{\text{z}} + 5} \right)}}{\text{dz}}} $$      over the contour |z| = 1, taken in the anti-clockwise direction, would be Correct Answer $$\frac{{48\pi {\text{i}}}}{{13}}$$

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