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Definite Integration question

2021 · 24 Feb · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 24 Feb · Shift 2 · Q27

Definite Integration question

2021 · 24 Feb · Shift 2 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2

-

x) for all x

\in

(0, 2), f(0) = 1 and f(2) = e2. Then the value of

\int\limits_0^2 {f(x)} dx

is :

A
1 + e2
B
2(1 + e2)
C
1 $-$ e2
D
2(1 $-$ e2)

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