Find the following

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\sqrt[\phantom{2}]{x})dx$

$A.\frac{3}{2}{x}^{\frac{3}{2}}+C$

$B.\frac{2}{3}{x}^{\frac{3}{2}}+C$

$\frac{1}{2}{x}^{\frac{1}{2}}+C$

$D.\frac{2}{3}{x}^{\frac{1}{2}}+C$

Option $C$

Option $A$

Option $B$

Option $D$