Indefinite Integration

$\log \frac{\left|x^3+1\right|}{x^2}+c$, (where c is a constant of integration)

$\frac{1}{2} \log \frac{\left(x^3+1\right)^2}{\left|x^3\right|}+\mathrm{c}$, (where c is a constant of integration)

$\quad \log \left|\frac{x^3+1}{x}\right|+\mathrm{c}$, (where c is a constant of integration)

$\frac{1}{2} \log \frac{\left|x^3+1\right|}{x^2}+\mathrm{c}$, (where c is a constant of integration)