The anti derivative of \(\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)\) with respect to x-

\(\frac{1}{3}{x}^{\frac{1}{3}}+2{x}^{\frac{1}{2}}+\mathrm{C}\)

\(\frac{2}{3}{x}^{\frac{2}{3}}+\frac{1}{2}{x}^{2}+\mathrm{C}\)

\(\frac{2}{3}{x}^{\frac{3}{2}}+2{x}^{\frac{1}{2}}+\mathrm{C}\)

\(\frac{3}{2}{x}^{\frac{3}{2}}+\frac{1}{2}{x}^{\frac{1}{2}}+\mathrm{C}\)