The value of the contour integral, $\oint_C\left(\frac{z+2}{z^2+2 z+2}\right) d z$, where the contour $\mathrm{C}$ is $\left\{z:\left|z+1-\frac{3}{2} j\right|=1\right\}$, taken in the counter clockwise direction, is
- $-\pi(1+j)$
- $\pi(1+j)$
- $\pi(1-j)$
- $-\pi(1-j)$