It looks like you're interested in evaluating the integral of the expression $\int \frac{\sqrt{dx}}{1 + x^2}$, but it seems there's a small formatting issue. Did you mean:

$\int \frac{1}{\sqrt{1 + x^2}} \, dx$ or $\int \frac{\sqrt{x}}{1 + x^2} \, dx?$

Please confirm, and I'll proceed with the solution!