Find the Indefinite Integral Below $$\int \left( \frac { - 6 } { t ^ { 3 } } \mathbf { i } + 25 t ^ { 4 } \mathbf { j } + 4 t ^ { - 1 / 5 } \mathbf { k } \right) d t$$

question 50

Multiple Choice

Find the indefinite integral below. $$\int \left( \frac { - 6 } { t ^ { 3 } } \mathbf { i } + 25 t ^ { 4 } \mathbf { j } + 4 t ^ { - 1 / 5 } \mathbf { k } \right) d t$$
Do not include an arbitrary constant vector.

• A) \(\frac { 3 } { t ^ { 2 } } \mathbf { i } + 5 t ^ { 5 } \mathbf { j } + 5 t ^ { 4 / 5 } \mathbf { k }\)
• B) \(\frac { 3 } { t ^ { 2 } } \mathbf { i } + 5 t ^ { 5 } \mathbf { j } + 5 t ^ { 5 / 4 } \mathbf { k }\)
• C) \(\frac { 3 } { t ^ { 3 } } \mathbf { i } + 5 t ^ { 5 } \mathbf { j } + 5 t ^ { 4 / 5 } \mathbf { k }\)
• D) \(\frac { 3 } { t ^ { 2 } } \mathbf { i } + 5 t ^ { 5 } \mathbf { j } - 5 t ^ { 4 / 5 } \mathbf { k }\)
• E) \(- \frac { 3 } { t ^ { 2 } } \mathbf { i } + 5 t ^ { 5 } \mathbf { j } + 5 t ^ { 4 / 5 } \mathbf { k }\)

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