# Integrating Over Absolute Values

Calculus Level 3

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

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

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

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