1. The problem statement, all variables and given/known data Decide whether f(x)=[tex]\int[/tex] (1-cos(x))/x^2 is improperly integrable on (0, infinity). 2. Relevant equations 3. The attempt at a solution I understand the concept of improper integration, but I don't see how to take the antiderivative -- I tried substitution and by parts, but I can't get there.