Let \(f\) be the function such that \(\int\limits_3^{8} f(2x)   dx = 2\). Which of the following must be true?

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$$ \int\limits_3^{8} f(2x)   dx = 2 $$

Perform the following substitutions:

$$ t=2x \hskip{2em} dt= 2  dx \hskip{2em} dx=\frac{dt}{2}$$ $$ \int\limits_6^{16} f(t)   \frac{dt}{2} =2 $$ $$ \boxed{\int\limits_6^{16} f(t)   dt = 4} $$