# Full solution for integral (lnx ^ 1/2) / x dx

GROUPS:
 Paola Pimenta Dornellas 1 Vote Good night! In resolving the integral (lnx ^ 1/2) / x dx could not understand where it came 4th in the denominator. Thank you!
 Marco Thiel 3 Votes Hi,the way you write your problem is not quite clear, because it does not state clearly where the parenthesis are meant to be. Do you mean: Integrate[ (Log[x^(1/2)])/x, x]which gives $\frac{\log^2 (x)}{4}$, or do you mean Integrate[ (Log[x]^(1/2))/x, x]which gives $\frac{2}{3} \log^\frac{3}{2} (x)$, or do you mean something else? It would be helpful if you pasted the Mathematica function into your question.For the step-by-step solutions, see below.Cheers,Marco