# AP® Calculus AB-BC

Free Version
Moderate

APCALC-LJOPH8

Find the correct expression for the area of the enclosed region between the polar curve $r=1-2\cos { \theta }$ and the $y$-axis in quadrant I.

A

$\displaystyle\int _{ 0 }^{ \cfrac { \pi }{ 2 } }{ ( 1-2\cos { \theta } ) ^{ 2 }d\theta }$

B

$\cfrac { 1 }{ 2 } \displaystyle\int _{ 0 }^{ \cfrac { \pi }{ 2 } }{ ( 1-2\cos { \theta } ) ^{ 2 }d\theta }$

C

$\displaystyle\int _{ \cfrac { \pi }{ 3 } }^{ \cfrac { \pi }{ 2 } }{ ( 1-2\cos { \theta } ) ^{ 2 }d\theta }$

D

$\cfrac { 1 }{ 2 } \displaystyle\int _{ \cfrac { \pi }{ 3 } }^{ \cfrac { \pi }{ 2 } }{ ( 1-2\cos { \theta } ) ^{ 2 }d\theta }$