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Complex Line Integral (not too hard)

  1. Dec 1, 2011 #1
    1. The problem statement, all variables and given/known data

    ∫dz/(z4+1) integrated over the curve C1(1+i)

    2. Relevant equations

    The only thing we learned in this chapter is Cauchy's integral formula, so I'm assuming that comes in somehow.

    3. The attempt at a solution

    ∫dz/(z4+1) = ∫dz/(z+1+i)(z+1-i)(z-1+i)(z-1-i)

    Not bad, eh? Where do I go from here.
     
  2. jcsd
  3. Dec 1, 2011 #2
    Look for the poles of your integrand (for which values of z is the denominator 0).
    Now find out which of them lie inside of the curve.
    Now apply Cauchy's formula.
     
  4. Dec 1, 2011 #3
    Ah, I see now!
     
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