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AP® Calculus AB-BC

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Difficult

Difficult Integration By Parts

APCALC-EIQJWM

$\int _{ 0 }^{ 1 }{ \cfrac { { e }^{ x }{ x }^{ 2 }\tan ^{ -1 }{ x+{ e }^{ x }\tan ^{ -1 }{ x+{ e }^{ x } } } }{ 1+{ x }^{ 2 } } } dx=$

A

$0$

B

$e$

C

$\pi e/4$

D

$1$