Find $\mathbf { r } ( t ) \text { if } \mathbf { r } ^ { \prime } ( t ) = t ^ { 2 } \mathbf { i } + 4 t ^ { 3 } \mathbf { j } - t ^ { 2 } \mathbf { k } \text { and } \mathbf { r } ( 1 ) = \mathbf { i } + \mathbf { j } + 2 \mathbf { k }$

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The Answer of Find $\mathbf { r } ( t ) \text { if } \mathbf { r } ^ { \prime } ( t ) = t ^ { 2 } \mathbf { i } + 4 t ^ { 3 } \mathbf { j } - t ^ { 2 } \mathbf { k } \text { and } \mathbf { r } ( 1 ) = \mathbf { i } + \mathbf { j } + 2 \mathbf { k }$