$\int \frac{\mathrm{d} x}{x\left(x^3+1\right)}=$
- A$\quad \log \left(\frac{x^3}{x^3+1}\right)+\mathrm{c}$, where c is the constant of integration
- B$\frac{1}{3} \log \left(\sqrt[3]{\frac{x^3}{x^3+1}}\right)+\mathrm{c}$, where c is the constant of integration
- C$\quad \log \left(\sqrt[3]{\frac{x^3}{x^3+1}}\right)+\mathrm{c}$, where c is the constant of integration
- D$\frac{1}{3} \log \left(\frac{x^3+1}{x^3}\right)+\mathrm{c}$, where c is the constant of integration
✓ Correct answer: C
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