If f(x)=|x|+|x-1|+|x-2|, x R then _ 0 ^ 3 f(x) d x equals to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

If \(f(x)=|x|+|x-1|+|x-2|, x \in R\) then \(\int_{0}^{3} f(x) d x\)
equals to
  1. \(9 / 2\)
  2. \(15 / 2\)
  3. \(19 / 2\)
  4. none

Answer

(C) 19 / 2

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