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The minimum value of the function \(f\left(x\right)={\int }_{0}^{2}{e}^{|x-t|}dt\) is [JEE Main 2023, 25 Jan (Shift 1)]

Q1

The minimum value of the function \(f\left(x\right)={\int }_{0}^{2}{e}^{|x-t|}dt\) 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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