# Integration problem

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• February 17th 2011, 03:23 PM
looseenz2
Integration problem
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.
• February 17th 2011, 03:33 PM
pickslides
How about using partial fractions?
• February 17th 2011, 03:41 PM
harish21
$\displaystyle \frac{1}{x^3 + x^2 + x} = \frac{1}{x(x^2+x+1)}$

As pickslides says above, use partial fractions..
• February 17th 2011, 03:42 PM
Krizalid
Put $x=\dfrac1t$ and then you have a routine integral problem.
• February 17th 2011, 03:49 PM
looseenz2
How do I use partial fractions on this?
• February 17th 2011, 06:57 PM
Prove It
Try $\displaystyle \frac{A}{x} + \frac{Bx + C}{x^2 + x + 1}$.