Integration of Rational Functions by Partial Fractions

[afcwestwarrior]

Homework Statement

∫1/ x^3-1 dx, ok how would i do this

Homework Equations

∫dx/ x^2+a^2= 1/a tan^-1 (x/a) +c


i tried to simplify x^3-1 = (x+1)(x-1)(x+1)

 

[Hitman2-2]

i tried to simplify x^3-1 = (x+1)(x-1)(x+1)

You've tried to factor out (x-1) from x³-1 which is a good start, however you might want to check your calculation again. Once you've re-done the factorization, we'll take it from there.

 

[rock.freak667]

i tried to simplify x^3-1 = (x+1)(x-1)(x+1)

Check this back...(x-1) is a factor, but divide it out again, your approach is correct though.