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

What is the value of \(a\)?

**Details and Assumptions**

\( \lfloor x \rfloor \) denote the floor function of \(x\).

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