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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