1. The problem statement, all variables and given/known data Find a such that f is Riemann integrable on [0,1], where: ##f = x^acos(1/x)##, x>0 and f(0) = 0 2. Relevant equations 3. The attempt at a solution I found at previous points a such that f is continuous, bounded and derivable, but I am not sure how to use that (as all these implications work just one way). Also the definition with partitions seems hard to use here. Any hint?