MAT334-2018F > Quiz-4

Q4 TUT 0201

(1/1)

Victor Ivrii:
Evaluate the given integral using Cauchy’s Formula or Theorem. Orientation counter-clockwise:
$$
\int_{|z|=1} \frac{z\,dz} {(z-2)^2}.
$$

Jeffery Mcbride:
\begin{equation*}
This\ formula\ cannot\ be\ re-written\ with\ Cauchy's\ formula,\ so\ we\ use\ Cauchy's\ theorem.\\
\\
\int _{|z|\ =\ 1} f( z) dz\ =\ 0\\
\\
\int _{|z|\ =\ 1} \ \frac{z}{( z-2)^{2}} \ dz\ =\ 0\\
\end{equation*}

Navigation

[0] Message Index

Go to full version