Find the Indefinite Integral Below $$\int \left( 5 e ^ { 5 t } \mathbf { i } - 4 \sin 4 t \mathbf { j } + 6 \cos 3 t \mathbf { k } \right) d t$$

Multiple Choice

Find the indefinite integral below. $$\int \left( 5 e ^ { 5 t } \mathbf { i } - 4 \sin 4 t \mathbf { j } + 6 \cos 3 t \mathbf { k } \right) d t$$ Do not include an arbitrary constant vector.

A) $e ^ { 5 t } \mathbf { i } - \cos 4 t \mathbf { j } + 2 \sin 3 t \mathbf { k }$
B) $e ^ { 5 t } \mathbf { i } + \cos 4 t \mathbf { j } - 2 \sin 3 t \mathbf { k }$
C) $e ^ { 5 t } \mathbf { i } + \cos 4 t \mathbf { j } + 6 \sin 3 t \mathbf { k }$
D) $e ^ { 5 t } \mathbf { i } + \cos 4 t \mathbf { j } + 2 \sin 3 t \mathbf { k }$
E) $\frac { e ^ { 5 t } } { 5 } \mathbf { i } + \cos 4 t \mathbf { j } + 2 \sin 3 t \mathbf { k }$