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) $e ^ { 3 } + 2$

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The Answer of 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) $e ^ { 3 } + 2$

Find the Length of the Curve r(t)=2ti+t2j+ln⁡tk,1≤t≤e3\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 3 }r(t)=2ti+t2j+lntk,1≤t≤e3

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