Indefinite Integration

\(2 \sqrt{2-\frac{2}{x^2}+\frac{1}{x^4}}+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(2 \sqrt{2+\frac{2}{x^2}+\frac{1}{x^4}}+c\), where \(\mathrm{c}\) is a constant of integration.

\(\frac{1}{2} \sqrt{2-\frac{2}{x^2}+\frac{1}{x^4}}+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.

\(2 \sqrt{2-\frac{2}{x^2}-\frac{1}{x^4}}+c\), where \(\mathrm{c}\) is a constant of integration.