The area bounded by the curve \( y=x e^{-x} ; x y=0 \) and \( x=c \...

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The area bounded by the curve \( y=x e^{-x} ; x y=0 \) and \( x=c \) where \( \mathrm{c} \) is the \( \mathrm{x} \)-coordinate of the curve's inflection point,
P is

IV
(a) \( 1-3 \mathrm{e}^{-2} \)
(b) \( 1-2 \mathrm{e}^{-2} \)
(c) \( 1-\mathrm{e}^{-2} \)
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