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Homework Help: Cauchy integral problem: can this answer be simplified further?

  1. Nov 29, 2004 #1
    The question calls for using Cauchy's integral formula to compute the integral for Int.c z/[(z-1)(z-3i)] dz, assuming C is the loop |z-1|=3.
    Taking z = 1 and f(z) = z/(z-3i), I came up with (2pi*i)/(1-3i), which seems like it could be simplified, but I'm not sure how.
  2. jcsd
  3. Nov 29, 2004 #2
    Multiply the numerator and denominator with the complex conjugate of 1-3i = 1+3i. Than you will get rid of the 'i' in the denominator.
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