Suppose I want to integrate [tex]f(z)(z-a)^{-1}[/tex] where [tex]|a|=1[/tex] over the circle [tex]|a|=1[/tex], why is it that:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

f(a)=\frac{1}{\pi i}\int_{|z|=1}\frac{f(z)}{z-a}dz

[/tex]

instead of:

[tex]

f(a)=\frac{1}{2\pi i}\int_{|z|=1}\frac{f(z)}{z-a}dz

[/tex]

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# Residues on a boundary

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