Example 6.4.  Use Equation (6-8) to show that  [Graphics:Images/ComplexIntegralMod_gr_52.gif].  

Explore Solution 6.4.


Method (ii).  Compute the integral directly using a complex function for the integrand.

[Graphics:../Images/ComplexIntegralMod_gr_56.gif]





[Graphics:../Images/ComplexIntegralMod_gr_57.gif]

 

Which is the same result we obtained in Example 6.2, but with a lot less work.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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