Results 1 to 2 of 2

Math Help - Partial Fractions Integral

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    10

    Partial Fractions Integral

    These partial fractions integrals have been pretty easy so far. It's really easy once you get the problem setup the correct way. I'm having trouble with this one though.

    \int \frac{3x + 2}{x^3 + 3x^2 + 3x +1}dx
    I tried factoring it but either way you end up with an extra addition on the end. Maybe there is a way to factor it so that the top reduces out?

    What am I missing?

    Thanks,
    Justin
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,867
    Thanks
    640
    Quote Originally Posted by Chicken Enchilada View Post
    These partial fractions integrals have been pretty easy so far. It's really easy once you get the problem setup the correct way. I'm having trouble with this one though.

    \int \frac{3x + 2}{x^3 + 3x^2 + 3x +1}dx
    I tried factoring it but either way you end up with an extra addition on the end. Maybe there is a way to factor it so that the top reduces out?

    What am I missing?

    Thanks,
    Justin
     <br />
\frac{3x + 2}{x^3 + 3x^2 + 3x +1} = <br />

     <br />
\frac{3x + 2}{(x+1)^3} =<br />

     <br />
\frac{2(x+1) + x}{(x+1)^3} =<br />

     <br />
\frac{2}{(x+1)^2} + \frac{x}{(x+1)^3}<br />

    \int \frac{2}{(x+1)^2} \, dx + \int \frac{x}{(x+1)^3} \, dx

    \int \frac{2}{(x+1)^2} \, dx + \int \frac{u-1}{u^3} \, du

    take it from here?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: May 6th 2009, 10:39 AM
  2. Integral by partial fractions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 24th 2009, 11:04 AM
  3. Partial Fractions Integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 3rd 2008, 02:22 PM
  4. Integral - partial fractions?
    Posted in the Calculus Forum
    Replies: 6
    Last Post: September 17th 2008, 07:39 PM
  5. An integral, partial fractions
    Posted in the Calculus Forum
    Replies: 7
    Last Post: July 19th 2008, 07:39 PM

Search Tags


/mathhelpforum @mathhelpforum