Math 455                       Homework                Saff&Snider
Section 4.4, p.149
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#16.  Note that A/z^k has an antiderivative for all k not equal to
      -1.  The antiderivative is A z^(-k+1) / (-k+1).  Since these
      functions have antiderivatives, their loop integral is zero.
      In addition, since g is analytic inside and on |z|=1, its 
      integral is zero there.  Finally, we are left with A/z which
      gives has (2)(pi)(i) for its integral.