1. The problem statement, all variables and given/known data f is defined by: for x=<0 f(x) = sin(x). for x>0 f(x) = sin(1/x). Is f integrable in [-2,2]? 2. Relevant equations 3. The attempt at a solution I think that the answer is yes because f is continues for all x in [-2,2] except for a finite amount of points (x=0). Is that right? It just seems weird that a function as chaotic as sin(1/x) could be integrable around 0. Thanks.