Hi

$\displaystyle \displystyle \int \frac{1}{1 + \sqrt{x}}~dx $

I have tried multiplying the numerator with $\displaystyle +\sqrt{x}$ and $\displaystyle -\sqrt{x}$ to factor out the denominator and got stuck

I have tried substituted $\displaystyle 1 + \sqrt{x}$ and got stuck

I have tried substituting $\displaystyle \sqrt{x}$ with u and replaced the numerator with $\displaystyle u - \sqrt{x}$ and came up with nothing...

Insights please.