The area of the region for which $0 < y < 3 - 2x - x^2$ and $x > 0$ is:

  • A
    $\int_{1}^{3} (3 - 2x - x^2) \, dx$
  • B
    $\int_{0}^{3} (3 - 2x - x^2) \, dx$
  • C
    $\int_{0}^{1} (3 - 2x - x^2) \, dx$
  • D
    $\int_{1}^{3} (3 - 2x - x^2) \, dx$

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