The conclusion of Example 13 is
$$
\frac{1}{2\pi i}\int_\gamma \frax{dz}{z-p}=\left\{\begin{aligned}
&0 & p\text{ outside }\gamma\\
&1 & p\text{ inside }\gamma.
\end{aligned}\right.
$$
You are asked to verify it for $\gamma$ specified in 9(b) using two decompositions in 9(b)
