Find the Length of the Curve $r = \frac { 3 } { 1 + \cos \theta } , 0 \leq \theta \leq \frac { \pi } { 2 }$

Multiple Choice

Find the length of the curve.
-The parabolic segment $r = \frac { 3 } { 1 + \cos \theta } , 0 \leq \theta \leq \frac { \pi } { 2 }$

A) $\frac { 3 } { 2 } ( \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) )$
B) $6 \pi$
C) 3
D) $\frac { 3 } { 2 } ( \sqrt { 2 } - \ln ( \sqrt { 2 } - 1 ) )$