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# I could solve this, but need a shorter method Watch

1. We have to integrate {dx/(1-x)(1-x^2)}. I solved by multiplying both the numerator and denominator by (1+x), but since, the question had been asked in a practice 'race-against-time' session, a shorter method would be welcome. Thanks!
2. (Original post by Spandy)
We have to integrate {dx/(1-x)(1-x^2)}. I solved by multiplying both the numerator and denominator by (1+x), but since, the question had been asked in a practice 'race-against-time' session, a shorter method would be welcome. Thanks!
can be done by partial fractions, which gets a bit neater if you make the substitution . Note that the integrand is .

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Updated: January 31, 2015
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