1. The problem statement, all variables and given/known data Let f(x)=∫1x (logt)/(t+1)dt if x>0. Compute f(x) + f(1/x). As a check, you should obtain f(2) + f(1/2) = 1/2(log2)2. 3. The attempt at a solution I have tried various calculation that I know, such as integration by parts, but after ten hours with pieces of papers, I still have no idea on how to lead to the answer: 1/2(logx)2. It'd be appreciated if you gave me some hints!