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Partial Fractions

  1. Nov 16, 2004 #1
    Hi I need some help getting started with this integral

    [tex]\int \frac {x^2+5x+2}{{x^4+x^2+1}}dx[/tex]

    Thanks in advance
     
  2. jcsd
  3. Nov 16, 2004 #2

    Astronuc

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    Staff: Mentor

    Try working the denominator -

    [tex]x^4+x^2+1 = (x^4+2x^2+1)-x^2 [/tex]

    then use the identity

    [tex]x^2-y^2 = (x+y)(x-y)[/tex]
     
  4. Nov 16, 2004 #3

    Astronuc

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    Staff: Mentor

    You were on the right track.

    To eliminate the [tex]x^3[/tex] term, C=-A.

    Then find 3 equations in three unknowns A, B, D.
     
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