# Integrals 4

Calculus Level 3

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

What is the value of $$a$$?

Details and Assumptions

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

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