Integral of 1/(x sqrt(1 - x^3))

1. A.
   $\frac{2}{3}$
2. B.
   $-\frac{2}{3}$
3. C.
   $\frac{1}{3}$
4. D.
   $-\frac{1}{3}$

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1. A.
   $\dfrac{1}{3}\log\left|\dfrac{\sqrt{1 - x^3} + 1}{\sqrt{1 - x^3} - 1}\right| + c$
2. B.
   $\dfrac{1}{3}\log\left|\dfrac{\sqrt{1 - x^3} - 1}{\sqrt{1 - x^3} + 1}\right| + c$
3. C.
   $\dfrac{1}{3}\log\left|\dfrac{\sqrt{1 - x^3} - 1}{\sqrt{1 - x^3} - 1}\right| + c$
4. D.
   $\dfrac{2}{3}\log\left|\dfrac{\sqrt{1 - x^3} - 1}{\sqrt{1 - x^3} + 1}\right| + c$

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