Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Tough definite integral

  1. Sep 22, 2013 #1
    Hello,
    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

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

  4. Sep 22, 2013 #3

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

  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 :)
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook