The integration of the function ∫1/(x^3-1) dx involves the use of partial fraction decomposition. The correct factorization of the denominator x^3-1 is (x-1)(x^2+x+1). After confirming the factorization, the integration can be approached by expressing the integrand as a sum of simpler fractions. This method allows for easier integration using standard techniques.
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afcwestwarrior said:i tried to simplify x^3-1 = (x+1)(x-1)(x+1)
afcwestwarrior said:i tried to simplify x^3-1 = (x+1)(x-1)(x+1)