## Partial Fraction Decomposition

Limits, differentiation, related rates, integration, trig integrals, etc.

### Partial Fraction Decomposition

Hi, I'm working on this problem and I'm stuck on this integral: -7x/(x^4 + 6x^2 + 25). Since the polynomial in the denominator has no real roots, I was wondering how would you separate the denominator into different parts for PFD. Thanks.
paulh428

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Joined: Wed Apr 27, 2011 11:17 pm

### Re: Partial Fraction Decomposition

paulh428 wrote:Hi, I'm working on this problem and I'm stuck on this integral: -7x/(x^4 + 6x^2 + 25). Since the polynomial in the denominator has no real roots, I was wondering how would you separate the denominator into different parts for PFD. Thanks.

Just factor like normal

since it has no roots there can't be any linear factors...look for two quadratic ones...

$x^4 + 6x^2 + 25=(x^2-2x+5)(x^2+2x+5)$

Martingale

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