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Evaluate the definite integral, $\int_{0}^{1}e^{-2x}dx$.

A

$\cfrac{e^{-2}}{2}-\cfrac{1}{2}$

B

$-e^{-2}+1$

C

$e^{-2}-1$

D

$\cfrac{1}{2}-\cfrac{e^{-2}}{2}$

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