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Let $x$ be a continuous variable defined over the interval $(- \infty, \infty)$, and $f(x) = e^{-x-e^{-x}}$. The integral $g(x)= \int f(x) \: dx$ is equal to

  1. $e^{e^{-x}}$
  2. $e^{-e^{-x}}$
  3. $e^{-e^{x}}$
  4. $e^{-x}$
in Calculus edited by
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