- #1

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

Thanks in advance

- Thread starter tangur
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- #1

- 14

- 0

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

Thanks in advance

- #2

Astronuc

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Science Advisor

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[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

Staff Emeritus

Science Advisor

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

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

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