Results 1 to 7 of 7

Math Help - Confused about partial fractions integration

  1. #1
    Member
    Joined
    Mar 2010
    Posts
    133

    Question Confused about integrating partial fractions

    Last edited by florx; March 1st 2011 at 05:33 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2009
    Posts
    226
    The ultimate equation should be 1 = \dfrac{A}{x} + \dfrac{B}{x^2} + \dfrac{Cx + D}{x^2 - 1}.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2010
    Posts
    133
    What happened to the 3 in front of x^2(x^2-1)?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Dec 2009
    Posts
    226
    You factored it out of the integral symbol, so you shouldn't include it in the partial fraction decomposition.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,079
    Thanks
    375
    Awards
    1
    Quote Originally Posted by NOX Andrew View Post
    The ultimate equation should be 1 = \dfrac{A}{x} + \dfrac{B}{x^2} + \dfrac{Cx + D}{x^2 - 1}.
    \displaystyle 1 = \frac{A}{x} + \frac{B}{x^2} + \frac{C}{x + 1} + \frac{D}{x - 1}

    -Dan
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Mar 2010
    Posts
    133
    Quote Originally Posted by topsquark View Post
    \displaystyle 1 = \frac{A}{x} + \frac{B}{x^2} + \frac{C}{x + 1} + \frac{D}{x - 1}

    -Dan
    Ah that way is much easier to find the variables. Thanks for your help guys.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member
    Joined
    Mar 2010
    Posts
    715
    Thanks
    2
    Quote Originally Posted by florx View Post
    Has the picture got edited out, or am the only person for whom it does not render?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integration by partial fractions
    Posted in the Calculus Forum
    Replies: 7
    Last Post: March 23rd 2010, 07:15 AM
  2. Integration partial fractions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 28th 2010, 07:55 AM
  3. Integration with partial fractions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 22nd 2010, 11:44 AM
  4. integration by partial fractions
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 17th 2010, 08:18 PM
  5. integration by partial fractions
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 25th 2007, 11:08 AM

/mathhelpforum @mathhelpforum