Example 6.8.  Evaluate the contour integral  [Graphics:Images/ContourIntegralMod_gr_166.gif]  where C is a the upper semicircle with radius 1 centered at  [Graphics:Images/ContourIntegralMod_gr_167.gif].  

[Graphics:Images/ContourIntegralMod_gr_168.gif]

Explore Solution 6.8.

Enter the function  [Graphics:../Images/ContourIntegralMod_gr_175.gif]  and set up the parameterization and compute the contour integral.

[Graphics:../Images/ContourIntegralMod_gr_176.gif]




[Graphics:../Images/ContourIntegralMod_gr_177.gif]

[Graphics:../Images/ContourIntegralMod_gr_178.gif]

[Graphics:../Images/ContourIntegralMod_gr_179.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell