GATE Chemical 2015 | Question: 39

Question

For complex variable $z$, the value of the contour integral $\frac{1}{2\pi i} \underset{C}{\int }\frac{e^{-2z}}{z(z-3)}dz$ along the clockwise contour $C:\left | z \right |=2$ (up to decimal places) is ___________.