(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Is f integrable in [-2,2]?

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