$\int_{0}^{1000} e^{x - [x]} \, dx$ is equal to:

  • A
    $e^{1000} - 1$
  • B
    $\frac{e^{1000} - 1}{e - 1}$
  • C
    $1000(e - 1)$
  • D
    $\frac{e - 1}{1000}$

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