Results 1 to 4 of 4

Math Help - Tricky Integral

  1. #1
    Member
    Joined
    May 2008
    Posts
    106

    Tricky Integral

    Hey Guys I'm having trouble with doing this integral at the moment

    <br />
\int \frac{1}{1+x^{3/2}} dx<br />

    (The background is that I'm trying to calculate a stellar distribution function for a potential-density pair with additional constraints on the anisotropy profile)

    Any hints on how to get started, I've got a feeling that it should be analytic but it's looking pretty horrible

    Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1573
    Awards
    1

    Re: Tricky Integral

    Quote Originally Posted by thelostchild View Post
    Hey Guys I'm having trouble with doing this integral at the moment
    \int \frac{1}{1+x^{3/2}} dx
    Have a look here.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member TheChaz's Avatar
    Joined
    Nov 2010
    From
    Northwest Arkansas
    Posts
    600
    Thanks
    2

    Re: Tricky Integral

    Quote Originally Posted by Plato View Post
    Linking to W|A is right on par with using Let me google that for you !
    Happy thanksgiving, btw.
    Or jhapoy Thursday, depending...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45

    Re: Tricky Integral

    Using the substitution t=x^{1/2} we get \int\frac{dx}{1+x^{3/2}}=2\int\frac{t\;dt}{1+t^{3}}=\ldots (rational)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Tricky Integral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 11th 2010, 08:06 AM
  2. tricky integral
    Posted in the Calculus Forum
    Replies: 6
    Last Post: November 24th 2009, 08:57 PM
  3. Tricky Integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 27th 2009, 08:52 PM
  4. Tricky integral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 4th 2009, 09:17 AM
  5. Another Tricky Integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 8th 2008, 09:54 PM

Search Tags


/mathhelpforum @mathhelpforum