Results 1 to 5 of 5

Math Help - integral

  1. #1
    Member
    Joined
    Jan 2010
    Posts
    79

    integral

    does anyone know how to find the integral of:

    e^(x^2)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,623
    Thanks
    428
    Quote Originally Posted by cdlegendary View Post
    does anyone know how to find the integral of:

    e^(x^2)
    the antiderivative of \int e^{x^2} \, dx does not have an elementary, closed-form solution.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2010
    Posts
    79
    Quote Originally Posted by skeeter View Post
    the antiderivative of \int e^{x^2} \, dx does not have an elementary, closed-form solution.
    ah, so if the interval is from 0 to 1, would there be a solution?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,623
    Thanks
    428
    Quote Originally Posted by cdlegendary View Post
    ah, so if the interval is from 0 to 1, would there be a solution?
    no, but you can estimate the value of the definite integral using the series representation for e^u
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member General's Avatar
    Joined
    Jan 2010
    From
    Kuwait
    Posts
    562
    Its not an elementary function as skeeter said.
    You can do it as an infinite series.
    Since: e^{\left(x^2\right)}=\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 31st 2010, 07:38 AM
  2. Replies: 1
    Last Post: June 2nd 2010, 02:25 AM
  3. Replies: 0
    Last Post: May 9th 2010, 01:52 PM
  4. Replies: 0
    Last Post: September 10th 2008, 07:53 PM
  5. Replies: 6
    Last Post: May 18th 2008, 06:37 AM

Search Tags


/mathhelpforum @mathhelpforum