JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f(x)=|x-2|

and

g(x)=f(f(x)), x \in[0,4]

. Then

\int\limits_{0}^3(g(x)-f(x)) d x

is equal to:

View answer and explanation

Correct option: A

Option A (1) is correct because evaluating the definite integral of g(x)-f(x) from 0 to 3 gives a result of 1.

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