Evaluate integral of [z/(z^2 + 2z + 5)] dz

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Evaluate integral of [z/(z^2 + 2z + 5)] dz , c = unit circle         ,Z here is a complex number isn't the integral value be zero because z = -1+2i & z = -1-2i both singularities lies outside the contour ?

 

 

Reference no: EM13832274

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