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Complex integration

  1. Jun 4, 2012 #1
    1. The problem statement, all variables and given/known data

    use residue theorem to integrate sinh(ax)/sinh(xpi) from -infinity to +infinity, a is between -pi and pi

    2. Relevant equations

    residue theorem

    3
    . The attempt at a solution

    i tried rectangular trajection through 0 and ia/pi with the function sinh(az)/sinh(zpi) and some other trajectories but it doesn't really work
     
  2. jcsd
  3. Jun 4, 2012 #2

    HallsofIvy

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    Staff Emeritus
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    The residue theorem applies to integration over closed paths. What closed paths have you used?
     
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