integral ln/sqroot of x dx?
$\displaystyle \int \ln \left(\sqrt{x}\right) dx$
You can use integration by parts: $\displaystyle \begin{array}{ll} u = \ln \left(\sqrt{x}\right) & dv = dx \\ du = \frac{1}{\sqrt{x}} \cdot \frac{1}{2\sqrt{x}} \ dx = \frac{1}{2x} \ dx& v = x \end{array}$