Search for question
Question

\text { Show that } \int_{C}\left[15 z^{5}+z^{4}-3 z^{2}+\frac{2 z+1}{\left(z^{2}+9\right)}+\bar{z}\right] d z=8 \pi i \text { where } C \text { is the circle }|z|=2 \text {. }

Fig: 1

Fig: 2