QUESTION: The question is to find the improper integral of (x^1/2)/lnx dx. MY ATTEMPT: 1)I tried it byparts, by taking 1/ln x as 'u' or the first function but i got stuck. 2)Alternatively, I tried substituting x=e^2t in hopes to eliminate ln for a simpler byparts integration, but that didn't work out. Please help asap. Thanks.