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int(0)^(4)(|x|+|x-2|+|x-4|)dn...

int_(0)^(4)(|x|+|x-2|+|x-4|)dn

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Evaluate: int_(0)^(4)(|x|+|x-2|+|x-4|)dx

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Let f(x)=int_(0)^(4)|x^(2)-4x-t|dt,x in(0,4) ,then the range of f(x) is