Exercise 1.  Evaluate the following quantities.  Be sure to show your work.

1 (e).  , where  .  

Solution 1 (e).

See text and/or instructor's solution manual.

One solution is

A second solution is

Which solution do you prefer.  In this case starting out using the identity    led to a more complicated solution.  Good luck at finding the "tricky solutions" in complex analysis.

We are done.   

Aside.  We can let Mathematica double check our work.

This solution is complements of the authors.

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