$\displaystyle \int \ {\sqrt{x}}lnx dx$
Hellon vinson24Integrate by parts:
$\displaystyle \int \ {\sqrt{x}}\text{ln }x dx = \text{ln }x\times \int\sqrt{x}dx - \int\frac{d}{dx}(\text{ln x})\times \left(\int\sqrt{x}dx\right) dx$
$\displaystyle = \text{ln }x\times \frac{2}{3}x^{\frac{3}{2}} - \int\left(\frac{1}{x}\right)\times \frac{2}{3}x^{\frac{3}{2}}dx$
Can you complete it now?
Grandad
PS Ah, just a couple of minutes too late!