Integral de 1/(x(sqrt)1-x^3) dx

                                                                                      /    ___ /1     ___\\
                                                                                      |2*\/ 3 *|- + \/ x ||
  /                                                                           ___     |        \2        /|
 |                                    /       ___\      /          ___\   2*\/ 3 *atan|-------------------|
 |      1                  2     2*log\-1 + \/ x /   log\1 + x + \/ x /               \         3         /
 | ------------ dx = C - ----- - ----------------- + ------------------ - ---------------------------------
 |     ___    3            ___           3                   3                            3                
 | x*\/ x  - x           \/ x                                                                              
 |                                                                                                         
/                                                                                                          

$$\int \frac{1}{\sqrt{x} x - x^{3}}\, dx = C - \frac{2 \log{\left(\sqrt{x} - 1 \right)}}{3} + \frac{\log{\left(\sqrt{x} + x + 1 \right)}}{3} - \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \left(\sqrt{x} + \frac{1}{2}\right)}{3} \right)}}{3} - \frac{2}{\sqrt{x}}$$

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