Find the Length of the Curve $r = 3 \theta ^ { 2 } , 0 \leq \theta \leq 2 \sqrt { 3 }$

Multiple Choice

Find the length of the curve.
-The spiral $r = 3 \theta ^ { 2 } , 0 \leq \theta \leq 2 \sqrt { 3 }$

A) $\frac { 144 } { 5 } \pi ^ { 5 }$
B) $8 \left( \left( \pi ^ { 2 } + 1 \right) ^ { 3 / 2 } - 1 \right)$
C) $\frac { 1296 } { 5 } \sqrt { 3 }$
D) 56