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

question 42

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) \(\frac { e ^ { 5 t } } { 5 } \mathbf { i } + \cos 4 t \mathbf { j } + 2 \sin 3 t \mathbf { k }\)

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