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Definite Integration question

2020 · 4 Sep · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 4 Sep · Shift 1 · Q35

Definite Integration question

2020 · 4 Sep · Shift 1 · Q35

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

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:

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

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