Evaluate the indefinite integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x^{-\frac{1}{2}})dx=$

a$)x^{\frac{3}{2}}+C$

b$)\frac{2}{3}{x}^{\frac{3}{2}}+c$

c$)2x^{\frac{1}{2}}+c$

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