Integral de x/(27x^3-8) dx

  /                                                                                    
 |                       /             2\                     ___     /  ___          \
 |     x              log\4 + 6*x + 9*x /   log(-2 + 3*x)   \/ 3 *atan\\/ 3 *(1/3 + x)/
 | --------- dx = C - ------------------- + ------------- + ---------------------------
 |     3                      108                 54                     54            
 | 27*x  - 8                                                                           
 |                                                                                     
/                                                                                      

$$\int \frac{x}{27 x^{3} - 8}\, dx = C + \frac{\log{\left(3 x - 2 \right)}}{54} - \frac{\log{\left(9 x^{2} + 6 x + 4 \right)}}{108} + \frac{\sqrt{3} \operatorname{atan}{\left(\sqrt{3} \left(x + \frac{1}{3}\right) \right)}}{54}$$

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