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AP® Calculus AB-BC

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Difficult

Integral Of Power Series

APCALC-EFY8K4

Determine a power series for:

$$\int { \cfrac { 1 }{ 1+x } dx } $$

...centered at $x = 0$.

A

$\sum _{ n=0 }^{ \infty }{ \cfrac { { x }^{ n+1 } }{ n+1 } } $

B

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ x }^{ n+1 } }{ n+1 } } $

C

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ x }^{ n+1 } }{ ( n+1 ) ! } } $

D

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ x }^{ n } }{ n! } } $