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Tough definite integral

  1. Sep 22, 2013 #1
    I would like to evaluate the following definite integral

    [itex] \int_0^1 \frac{exp(1/(x(1-x)))}{\sqrt{x(1-x)}} [/itex]

    Numerically I get the result of about 1.4695 and it appears to converge nicely in the domain of interest (0;1). However, I'm wondering whether some kind of analytical integral exists as well... couldn't find anything myself :(
  2. jcsd
  3. Sep 22, 2013 #2


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  4. Sep 22, 2013 #3


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  5. Sep 23, 2013 #4
    Oops, sorry, I forgot the minus sign:

    [itex] \int_0^1 \frac{exp(-1/(x(1-x)))}{\sqrt{x(1-x)}} [/itex]

    should converge now :)
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