Example 6.24.  Let    denote a fixed complex value.  Show that, if C is a simple closed positively oriented contour such that    lies interior to C, then  

               ,   and
(6-50)
               ,   for any integer  . 

Explore Solution 6.24 (a).

(a)   Show that .  Use the Cauchy Integral Formula in the form .  

Thus, we have found the value of the contour integral.

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