deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 5d1b5d2..76f91b4 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\int_{\gamma_1}\frac{\frac{dz}{(z-(\frac{\sqrt2}{2}+i\frac{\sqrt2}{2}))(z-(-\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}))(z-(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}))}}{(z-(-\frac{\sqrt2}{2}+i\frac{\sqrt2}{2}))} &= \frac{2\pi i}{(-\frac{\sqrt2}{2}+i\frac{\sqrt2}{2}-\frac{\sqrt2}{2}-i\frac{\sqrt2}{2})(-\frac{\sqrt2}{2}+i\frac{\sqrt2}{2}+\frac{\sqrt2}{2}+i\frac{\sqrt2}{2})(-\frac{\sqrt2}{2}+i\frac{\sqrt2}{2}-\frac{\sqrt2}{2}+i\frac{\sqrt2}{2})}\\  &= \frac{2\pi i}{(-\sqrt2)(-\sqrt2+i\sqrt2)(i\sqrt2)}\\  &= \frac{2\pi i}{-2i(-\sqrt2 +i\sqrt2)}\\  &= \frac{2\pi i}{2i\sqrt2+\sqrt2}\\ i}{2i\sqrt2+2\sqrt2}\\  &=\frac{\pi i}{\sqrt2+i\sqrt2}\\  \end{align*}