Indefinite Integration

\(\left(\frac{x^4+1}{x}\right)^{\frac{1}{4}}+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(\frac{\left(x^4-1\right)^{\frac{1}{4}}}{x}+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(-\frac{\left(x^4+1\right)^{\frac{1}{4}}}{x}+c\), where \(\mathrm{c}\) is a constant of integration.

\(-\left(\frac{x^4+1}{x}\right)^{\frac{1}{4}}+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.