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The minimum value of f(x)=int0^4e^(|x-t|...

The minimum value of `f(x)=int_0^4e^(|x-t|)dt` where `x in [0,3]` is : (A) `2e^2-1` (B) `e^4-1` (C) `2(e^2-1)` (D) `e^2-1`

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