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OpenStudy (anonymous):
in ∫ (x^(1/3)) / ( (x^(1/3)) -1), what should i substitute?
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OpenStudy (anonymous):
Quotient rule?
OpenStudy (dumbcow):
u = x^(1/3) - 1 --> x = (u+1)^3 du = dx/(3x^(2/3))
OpenStudy (dumbcow):
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
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