Results 1 to 4 of 4

Math Help - Integrate (x^3 + 3x^2)/ (x+1)

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    21

    Integrate (x^3 + 3x^2)/ (x+1)

    Problem:

    Integrate (x^3 + 3x^2)/ (x+1)

    I'm missing something simple, I think - but I'm stuck.

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,698
    Thanks
    454
    Quote Originally Posted by reflex View Post
    Problem:

    Integrate (x^3 + 3x^2)/ (x+1)

    I'm missing something simple, I think - but I'm stuck.

    Thanks!

    start by doing the long division ...

    \frac{x^3+3x^2}{x+1} = x^2 + 2x - 2 + \frac{2}{x+1}

    integrate the right side
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    With simple passages You obtain...

    \frac{x^{3} +3x^{2}}{1+x} = x^{2}+2x-2+\frac{2}{1+x}

    ... so that...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Oct 2009
    Posts
    21
    Cool, thanks...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integrate 3 e^x
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 9th 2010, 01:16 PM
  2. how to integrate this ??
    Posted in the Calculus Forum
    Replies: 8
    Last Post: August 9th 2009, 08:14 PM
  3. Integrate
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 28th 2009, 07:54 PM
  4. How to integrate x^x?
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 25th 2009, 07:51 PM
  5. Integrate
    Posted in the Calculus Forum
    Replies: 8
    Last Post: April 15th 2009, 03:50 PM

Search Tags


/mathhelpforum @mathhelpforum