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JEE Math Practice Question

Let $$f(x) = \left| {x - 2} \right|$$ and g(x) = f(f(x)), $$x \in \left[ {0,4} \right]$$. Then $$\int\limits_0^3 {\left( {g(x) - f(x)} \right)} dx$$ is equal to:

  1. A.1
  2. B.0
  3. C.$${1 \over 2}$$
  4. D.$${3 \over 2}$$

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