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AP® Calculus AB-BC

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Antidifferentiation: The Opposite of Differentiation $x{ e }^{x}$

APCALC-K1RHBT

Find an antiderivative of $x{ e }^{x}$.

A

$\cfrac { 1 }{ 2 } {x}^{2}{e}^{x}+2$

B

$x{ e }^{ x }+{e}^{x}$

C

$x{ e }^{ x }-{e}^{x}+x$

D

${ e }^{ x }(x-1)+e$