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The minimum value of the function \(f(x)=\int_0^2 e^{|x-t|} d t\) is [JEE Main 2023, 25 Jan (Shift 1)]

Q1

The minimum value of the function \(f(x)=\int_0^2 e^{|x-t|} d t\) is

[JEE Main 2023, 25 Jan (Shift 1)]

a

\(2(e-1)\)

b

\(2 e-1\)

c

2

d

\(e(e-1)\)

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