Find the Integral $\int \left( 2 t \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 \mathbf { k } \right) d t$

Find the integral $\int \left( 2 t \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 \mathbf { k } \right) d t$

A) $2 t ^ { 2 } \mathbf { i } + 9 t ^ { 3 } \mathbf { j } + 7 t \mathbf { k } + \mathbf { C }$
B) $t ^ { 2 } \mathbf { i } + 3 t ^ { 3 } \mathbf { j } + 7 t \mathbf { k } + \mathbf { C }$
C) $2 t \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 \mathbf { k } + \mathbf { C }$
D) $2 \mathbf { i } + 18 t \mathbf { j } + \mathbf { C }$

Correct Answer:

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