Given the Velocity Vector $\vec { v } ( t ) = \left\langle \frac { 1 } { t + 1 } , e ^ { t } , t \right\rangle$

Essay

Given the velocity vector $\vec { v } ( t ) = \left\langle \frac { 1 } { t + 1 } , e ^ { t } , t \right\rangle$ and $\vec { r } ( 0 ) = \langle 1,0,2 \rangle$ , find $\vec { r } ( t )$