Indefinite Integration

\(\frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^2+1}{x \sqrt{2}}\right)+C\)

\(\frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^2-1}{\sqrt{2} x}\right)+C\)

\(-\frac{1}{\sqrt{2}} \tan ^{-1}\left(x-\frac{1}{x}\right)+C\)

\(\frac{1}{\sqrt{2}} \tan ^{-1}\left(x-\frac{1}{x}\right)+C\)