Example 6.2.  Show that  [Graphics:Images/ComplexIntegralMod_gr_18.gif].  

Explore Solution 6.2.

Method (i).  Expand the integrand f[t] into its real and imaginary parts, then integrate u[t] and v[t].

[Graphics:../Images/ComplexIntegralMod_gr_25.gif]





[Graphics:../Images/ComplexIntegralMod_gr_26.gif]

[Graphics:../Images/ComplexIntegralMod_gr_27.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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