Results 1 to 1 of 1

Math Help - Integral

  1. #1
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78

    Integral

    Quote Originally Posted by navynukejones
    Thanks for the help man with the last problem, the book I am using isn't very clear on how to do some of these. I have one more that is similar to that one that I cant figure out it is: integrate: 5x^2-x+11/(x^2+4)(x-1).
    use partial fractions to get

    \int \frac{5x^2-x+11}{(x^2+4)(x-1)}dx=\int \left( \frac{2x+1}{x^2+4}+\frac{3}{x-1}\right)dx=

    now we use termise division of the first term to get

    \int \left( \frac{2x}{x^2+4}+\frac{1}{x^2+4}+\frac{3}{x-1}\right)dx=\ln|x^2+4|+\frac{1}{2}\tan^{-1}(x/2)+3\ln|x-1|+C
    Last edited by TheEmptySet; April 23rd 2008 at 06:04 PM.
    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