Let $f:[0,\infty)\to$ $\mathbb{R}$ be a differentiable function such that
$f(x) = 1 - 2x + \int_0^x {{e^{x - t}}} f(t)dt{\rm{ for all }}x \in [0,\infty )$
Then the area of the region bounded by $y = f(x)$ and the coordinate axes is
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