Evaluate the contour integral $\displaystyle \int_\gamma \frac{1}{z} dz$ where $\displaystyle \gamma = {z \in \mathbb{C} : z=e^{i\theta}, \theta \in [-\pi/2, \pi/2]}.$

I keep getting $\displaystyle i\pi$ but the answer should be $\displaystyle -i\pi$, what am i doing wrong?