Question

in ∫ (x^(1/3)) / ( (x^(1/3)) -1), what should i substitute?

Answer 1

Quotient rule?

Answer 2

u = x^(1/3) - 1 --> x = (u+1)^3
du = dx/(3x^(2/3))

Answer 3

you could also do it another way
u= x^1/3 --> x=u^3
du = dx/(3x^(2/3))

yielding
3*integral u^3/(u-1) du