1. The problem statement, all variables and given/known data Find the exact length of the curve: y= 1/4 x2-1/2 ln(x) where 1<=x<=2 2. Relevant equations Using the Length formula (Leibniz) given in my book, L=Int[a,b] sqrt(1+(dy/dx)2) I found derivative of f to be (x2-1)/2x does that look correct? 3. The attempt at a solution I found f' to be (x2-1)/2x does that look correct? I'm thinking I must be off on something because I get a wrong answer. Either that or my integration. I am trying to use tables in the book for that, and not sure about that either. I am trying to sub u for that (dy/dx) part when integrating, for which I think I can use the form: int sqrt(u2+a2)=1/2 (u*sqrt(u2+a2)+a2ln|u+ sqrt(u2+a2) When I put my value back in for u, it turns in to a big mess. When I plug in my x values I got 15/32 +ln 2. This isn't right, the book has 3/4 + 1/2 ln 2 if that helps. Thank you.