Contour integration of real functions

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I have a problem with choosing a contour for integration... Can someone explain to me when to use a keyhole contour and when a semi-circle? Thanks...:)
 
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stefaneli said:
I have a problem with choosing a contour for integration... Can someone explain to me when to use a keyhole contour and when a semi-circle? Thanks...:)

Use keyhole when you need to avoid singularities.
 
Singularities on real axis?