Tough definite integral

  • Thread starter Irid
  • Start date
  • #1
207
0

Main Question or Discussion Point

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 :(
 

Answers and Replies

  • #3
Office_Shredder
Staff Emeritus
Science Advisor
Gold Member
3,750
99
  • #4
207
0
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 :)
 

Related Threads for: Tough definite integral

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
11
Views
3K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
877
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
4
Views
2K
Top