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AP® Calculus AB-BC

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Moderate

Antidifferentiation: Opposite of Differentiation ${ e }^{x/2}$

APCALC-QIR1XS

Find an antiderivative of $f(x)=3x+{ e }^{ x/2 }$.

A

$\cfrac{3}{2}{x}^{2}+2{e}^{x/2}$

B

$3+\cfrac{1}{2}{e}^{x/2}$

C

$3+2{e}^{x/2}$

D

$\cfrac{3}{2}{x}^{2}+{e}^{x/2}$