1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Partial fractions

  1. Nov 10, 2012 #1
    1. The problem statement, all variables and given/known data

    ∫ (x^3)/(x^2+2x+1)

    I think I could solve it if I knew how they did this operation:

    From the solution:
    '
    (x^3)/(x^2+2x+1) = (x-2) + (3x+2)/(x+1)^2 ( After long division)

    Did they use polynomialdivision?

    x^3: x^2-2X+1=

    If so, how?
     
  2. jcsd
  3. Nov 10, 2012 #2

    Mentallic

    User Avatar
    Homework Helper

    Yes, long division was used. Do you know how to use it?

    This video will help http://www.youtube.com/watch?v=ok4k6HDCuIk and just keep in mind that when applying it to your problem,

    [tex]x^3=1x^3+0x^2+0x+0[/tex]
     
  4. Nov 10, 2012 #3

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Yes, they used long division for polynomials.

    Here's a link to Wikipedia's page on polynomial long division.

    If you don't want to use long division, use the substitution u = x+1.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...