Results 1 to 4 of 4

Math Help - integral

  1. #1
    Super Member
    Joined
    Jun 2008
    Posts
    829

    integral

    \int \frac{x+2}{x^3(x-1)}dx
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Apprentice123 View Post
    \int \frac{x+2}{x^3(x-1)}dx
    Use a partial fraction decomposition.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    11
    \begin{aligned}<br />
   \frac{x+2}{x^{3}(x-1)}&=\frac{x-1-3\left( x^{3}-1 \right)+3x^{3}}{x^{3}(x-1)} \\ <br />
 & =\frac{(x-1)\left( 1-3x^{2}-3x-3 \right)+3x^{3}}{x^{3}(x-1)} \\ <br />
 & =\frac{3}{x-1}-\frac{3x^{2}+3x+2}{x^{3}} \\ <br />
 & =\frac{3}{x-1}-\frac{3}{x}-\frac{3}{x^{2}}-\frac{2}{x^{3}}.<br />
\end{aligned}

    Integrate.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jun 2008
    Posts
    829
    thank you
    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