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Homework Help: Integral with complex bounds

  1. Apr 29, 2014 #1
    I'm studying for the exam and in the previous one there's a question like:
    1. The problem statement, all variables and given/known data
    Find the value of
    1/(2*i*pi) ∫ exp(s*u)/s² ds for s from 1-i∞ to 1+i∞

    What is the way to solve integrals with complex bounds ? Is it to make a variable change to get real bounds, like here for example s=1+iz and then use residus to solve the integral ?

  2. jcsd
  3. Apr 29, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper

    That sounds like a good first step.
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