?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Factoring Partial Fractions

APCALC-ALW8XS

Integrate the following:

$$\int { \cfrac { 6 }{ { x }^{ 2 }+4x+3 } } dx$$

A

$2\arctan { (\frac{ ( x+2 )} {3} ) } +C$

B

$6\arctan { (\frac{ ( x+2 )} {3} ) } +C$

C

$3\ln { (\frac{ ( x+1 )}{( x+3 )} ) } +C$

D

$3\ln { ( \frac{( x-3 )}{( x+1 )} ) } +C$