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Evaluation of real integral

  1. Dec 10, 2012 #1
    1. The problem statement, all variables and given/known data[/b
    from -∞ to ∞ of ∫1/(x^4+1) dx

    2. Relevant equations
    how can i actually find out the pole of this function


    3. The attempt at a solution
    i try to determine the pole and x^4=-1,for this i have obtain the root which is (-1)^1/4,but i dun noe how to find out the remaining roots and it really make me confuse for this ==
     
  2. jcsd
  3. Dec 10, 2012 #2
    Since x4+1 = 0 has no real-valued solutions, your function f(x) = 1/(x4+1) has no poles. You'll need a different approach for this integral.
     
  4. Dec 10, 2012 #3

    Dick

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    Science Advisor
    Homework Helper

    There are complex poles. There are four of them. Write the root in polar form [itex]r e^{i \theta}[/itex] and try and figure out what the possibilities are for r and [itex]\theta[/itex].
     
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