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Inverse of the sinc function - need to use Ei function?

  1. Apr 5, 2012 #1
    1. The problem statement, all variables and given/known data
    http://gyazo.com/966f3a03d71843a46a832e6508d6ca95

    So when t> 0.5 or t<-0.5 the text says I1 and I2 cancel. Can I show this. When I tried, integration by parts gets me nowhere, so I looked up the integral of form e^x/x and apparently it has "no elementary derivative" - have to use Ei, which I've never heard of. Should I just take it for granted that I1 and I2 cancel?

    Also it says about pole being on the real axis, but gives me I1 =i*pi, which is on the imaginary axis. Not quite sure what that part is trying to say

    Thanks
    Thomas
     
  2. jcsd
  3. Apr 5, 2012 #2

    Dick

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    Science Advisor
    Homework Helper

    Try applying the change of variables [itex]\omega'=p_1 \omega[/itex] to I1. What do you notice? And no, you don't need the Ei function.
     
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