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Let f : [0, ∞ ) →  be a differentiable function such that f (x) = 1 − 2x + x x t 0 e f (t)dt   for all x  [0, ∞ ). Then the area of the region bounded by y = f ( x ) and the coordinate axes is

1. 2
2. 2
3. 1 2
4. 5

Correct answer: 1 2

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