I'm not sure how to begin this problem:

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

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.

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- Feb 17th 2011, 03:23 PMlooseenz2Integration problem
I'm not sure how to begin this problem:

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

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. - Feb 17th 2011, 03:33 PMpickslides
How about using partial fractions?

- Feb 17th 2011, 03:41 PMharish21
$\displaystyle \displaystyle \frac{1}{x^3 + x^2 + x} = \frac{1}{x(x^2+x+1)}$

As pickslides says above, use partial fractions.. - Feb 17th 2011, 03:42 PMKrizalid
Put $\displaystyle x=\dfrac1t$ and then you have a routine integral problem.

- Feb 17th 2011, 03:49 PMlooseenz2
How do I use partial fractions on this?

- Feb 17th 2011, 06:57 PMProve It
Try $\displaystyle \displaystyle \frac{A}{x} + \frac{Bx + C}{x^2 + x + 1}$.