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$\displaystyle \int_{-10}^{10} \frac {3^x}{ 3^{\lfloor x \rfloor} } \ \mathrm d x = \frac {a} { \ln 3 }$

What is the value of $a$?

Details and Assumptions

$\lfloor x \rfloor$ denote the floor function of $x$.

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