Exercise 9.  Use the results of  Exercise 8  with    to evaluate  

9 (b).  , where    is an integer.

Solution 9 (b).

See text and/or instructor's solution manual.

Answer.   .

Solution.  Parametrize    with      for   .  

Then   ,   and      and we obtain  

                       

                    The contour      for   .  

This solution is complements of the authors.

(c) 2008 John H. Mathews, Russell W. Howell