Results 1 to 3 of 3

Math Help - Improper integral. Convergent or divergent?

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    2

    Improper integral. Convergent or divergent?

    Hi,

    Can anyone help me :

    integral from 0 to 1: e^x/sqrt(1-x^2)

    I think I need to convert this integral in such a way that function will be not defined in 0



    Can anybody give some ideas?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by krikun View Post
    Hi,

    Can anyone help me :

    integral from 0 to 1: e^x/sqrt(1-x^2)

    I think I need to convert this integral in such a way that function will be not defined in 0



    Can anybody give some ideas?

    Your problem is not with zero but with 1: the function isn't defined at x = 1 and it is unbounded there, so the integral is improper because of 1, not zero.

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2010
    Posts
    2
    I know, but I think that this integral is of the same type as 1/sqrt (x), and I need to convert discontinuity from 1 to 0.
    But I don't know how
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 8
    Last Post: November 26th 2010, 06:57 PM
  2. Improper integral (convergent/divergent)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 25th 2010, 03:47 PM
  3. Improper integral convergent or divergent?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 5th 2010, 12:47 PM
  4. Replies: 5
    Last Post: January 26th 2010, 04:56 AM
  5. convergent and divergent improper integrals
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 8th 2009, 09:15 AM

Search Tags


/mathhelpforum @mathhelpforum