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A problem with an Integral

  1. Jan 7, 2010 #1
    We are having problems solving the indefinite integral of the following function:
    [tex]\frac{dx}{\sqrt[4]{1+x^4}}[/tex]
    We tried the substitution [tex]t^4=x^4+1[/tex], but we got stuck.

    Our professor tried solving it, but he also encountered difficulties.
    Any suggestion is apreciated.

    (wolfram alpha says that the integral is a hypergeometric function, but it must be simpler)
     
  2. jcsd
  3. Jan 7, 2010 #2

    CompuChip

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  4. Jan 7, 2010 #3

    tiny-tim

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    Hi hellais! :smile:

    I think you just have to keep substituting again and again …

    x2 = sinhu, a = tanhu … :rolleyes:
     
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