# Easy! But worth solving once

Calculus Level pending

Consider a function $$f(x)$$ which is continuous for $$x\in [-3,3]$$.

If $$f(x)$$ only attains(or gives output to) rational values in this domain and $$f(2)=5$$ then find:

$$\displaystyle \int_{-3}^{3}f(x)\,dx$$

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