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If the semi-circular contour $D$ of radius $2$ is as shown in the figure, then the value of the integral $\displaystyle{}\oint_{D} \dfrac{1}{\left(s^{2}-1\right)} d s$ is

  1. $j \pi$
  2. $-j \pi$
  3. $-\pi$
  4. $\pi$

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