Mathematics

Problem

The area bounded by the curve

y = xe^{-x}

y = 0

and

x = c

, where

c

is the

x

-coordinate of the curve's inflection point, is - (A)

1 - 3e^{-2}

(B)

1 - 2e^{-2}

(C)

1 - e^{-2}

(D) 1