$\int e^{-x}\left(x^3-2 x^2+3 x-4\right) d x=$

• A

  $-e^{-x}\left(x^3-x^2+5 x-1\right)+\mathrm{c}$
• B

  $e^{-x}\left(x^3-x^2+5 x-1\right)+\mathrm{c}$
• C

  $e^{-x}\left(x^3+x^2+5 x+1\right)+\mathrm{c}$
• Correct answer
  D

  $-e^{-x}\left(x^3+x^2+5 x+1\right)+\mathrm{c}$

Hence, the correct answer is option: 'D'.