Results 1 to 3 of 3

Math Help - Difficult Integral

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    23

    Difficult Integral

    I have tried many different ways of solving this integral but always seem to get stuck. Any help would be greatly appreciated.


    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by dats13 View Post
    I have tried many different ways of solving this integral but always seem to get stuck. Any help would be greatly appreciated.



    \int \frac{x}{\sqrt{(x-6)(3-x)}}\,dx= \int \frac{x}{\sqrt{-x^2+9x-18}}\,dx=\frac{1}{2}\int\frac{-2x+9}{\sqrt{-x^2+9x-18}}\,dx-\frac{9}{2}\int\frac{dx}{\sqrt{-\left(x-\frac{9}{2}\right)^2+\frac{9}{4}}} .

    The first integral above is a root, and the second one an arcsine.

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2010
    Posts
    23
    Thanks for the help. I finally solved it thanks to your input.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. difficult integral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 26th 2010, 12:42 PM
  2. Help with a difficult integral please..
    Posted in the Calculus Forum
    Replies: 12
    Last Post: November 9th 2009, 05:14 PM
  3. difficult integral
    Posted in the Calculus Forum
    Replies: 19
    Last Post: September 3rd 2007, 03:05 PM
  4. difficult integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 3rd 2007, 02:59 PM
  5. difficult integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 28th 2007, 06:04 PM

Search Tags


/mathhelpforum @mathhelpforum