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$f(x) = \begin{cases}{1-|x|}, && {|x|\>\le\>1} \\ {|x|-1,} && {|x|>1}\end{cases}$

$g(x) = f(x-1)+f(x+1)$.

Given the two functions above, what is the value of $\displaystyle \int _{ -3 }^{ 5 }{ g(x) \mathrm{d}x }$?

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