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Consider f(x)={: {(x|x|,,x<=-1), ([x+1]+...

Consider `f(x)={: {(x|x|,,x<=-1), ([x+1]+[1-x],, x<1),(-x|x|,, x>= 1):}` Where [.] denotes the greatest integer function then the value of `int_(-2)^(2)f(x)dx,` is

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