Find the Length of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k }$

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k }$ $1 \leq t \leq e ^ { 3 }$

A) $e ^ { 6 }$
B) $e ^ { 3 }$
C) $e ^ { 6 } + 2$
D) $e ^ { 3 } + 2$