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Complex integral csc(z)/z

  1. Oct 22, 2013 #1
    I need help to solve this problem from Complex variables, Arthur A. Hauser, Ch. 5. pag. 122. Problem 5.42
    show that ∫ csc(z)dz/z = 0
    where C is the unit circle around the origin.


    Solve it without using The Cauchy Integral Formula...
     

    Attached Files:

  2. jcsd
  3. Oct 22, 2013 #2

    tiny-tim

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    hi benjamin198! :smile:

    you need to prove ∫0 csc(e) dθ = 0

    perhaps there's something symmetric, or anti-symmetric, about the integrand? :wink:
     
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