Find the Length of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 7 }$

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 7 }$
Select the correct answer.

A) $e ^ { 14 }$
B) $e ^ { 14 } + 6$
C) $e ^ { 7 }$
D) $e ^ { 7 } + 6$