The value of \(\rm \int\left(\sqrt x+\frac{1}{\sqrt x}\right)^2dx\) is:
1
\(\rm \frac{x^2}{2}+\log|x|+C\), (where C is constant of integration)
2
\(\rm \frac{x^2}{2}+\log|x|+2x+C\) (where C is constant of integration)
3
\(\rm \frac{3}{2}\left(\sqrt x+\frac{1}{\sqrt x}\right)+C\) (where C is constant of integration)
4
\(\rm \frac{2}{3}x^{\frac{3}{2}}+2\sqrt x+C\) (where C is constant of integration)