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Solving improper integral

  1. Apr 12, 2009 #1
    given the improper integral from 1 to infinity of

    [tex]\int[/tex]ln(x)dx/[tex]\sqrt[3]{x}[/tex](x+1)

    what i did was look for a similar function whose behaviour i know or can easily find, which is either bigger than fx and converges or is smaller than fx and diverges

    i could not find anything!!! can anyone see a possible function or maybe another way?
     
  2. jcsd
  3. Apr 12, 2009 #2

    tiny-tim

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    Last edited by a moderator: Apr 24, 2017
  4. Apr 12, 2009 #3
    Integrating your function gives :

    - ( 3 ln(x) + 1) /( 27x^3)
     
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