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AP® Calculus AB-BC

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Moderate

Integration By Parts with $e$

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Evaluate the following integral:

$$\int { 4x{ e }^{ x+2 }dx } $$

A

$4{ e }^{ ( x+2 ) }+C$

B

$4{ xe }^{ ( x+2 ) }+C$

C

$4{ e }^{ ( x+2 ) }( x-1 ) +C$

D

$4{ e }^{ ( x+2 ) }( x+1 ) +C$