Integration problem

**looseenz2** · February 17th 2011, 03:23 PM

I'm not sure how to begin this problem:

$\int \frac{1}{x^3 + x^2 + x}dx$

I just need help with which method of integration I should use. I'm having trouble identifying this for multiple problems. Any help is appreciated.

**pickslides** · February 17th 2011, 03:33 PM

How about using partial fractions?

**harish21** · February 17th 2011, 03:41 PM

$\displaystyle \frac{1}{x^3 + x^2 + x} = \frac{1}{x(x^2+x+1)}$

As pickslides says above, use partial fractions..

**Krizalid** · February 17th 2011, 03:42 PM

Put $x=\dfrac1t$ and then you have a routine integral problem.

**looseenz2** · February 17th 2011, 03:49 PM

How do I use partial fractions on this?

**Prove It** · February 17th 2011, 06:57 PM

Try $\displaystyle \frac{A}{x} + \frac{Bx + C}{x^2 + x + 1}$ .

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