what is the integretion on 1/root(x)

So , we have ..... 1/√x =  x^(-1/2)

The antiderivative is just

F(x)  =  (2)x^(1/2) + C     or    2√x  + C

Prove this for yourself

F'(x) = x^(-1/2)  = 1/√x