- #1
daniel_i_l
Gold Member
- 868
- 0
Homework Statement
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]?
Homework Equations
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.