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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
Let f(x)=∣x−2∣f(x)=|x-2| and g(x)=f(f(x)),x∈[0,4]g(x)=f(f(x)), x \in[0,4]. Then, ∫03(g(x)−f(x))dx\int\limits_{0}^3(g(x)-f(x)) d x is equal to
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Correct option: D
1
Option D (1) is correct because it is found by evaluating the integral of the difference between g(x) and f(x) over the given interval.

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