Partial Fractions

  • Thread starter tangur
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  • #1
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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
 

Answers and Replies

  • #2
Astronuc
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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]
 
  • #3
Astronuc
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Science Advisor
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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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