Evaluate the Integral $$\int _ { 0 } ^ { 1 } \left[ 6 t i + 12 t ^ { 2 } j - \frac { 6 } { ( 1 + t ) ^ { 4 } } k \right] d t$$

question 89

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \left[ 6 t i + 12 t ^ { 2 } j - \frac { 6 } { ( 1 + t ) ^ { 4 } } k \right] d t$$

• A) \(6 \mathbf { i } - 8 \mathbf { j } + 2 \mathbf { k }\)
• B) \(3 \mathbf { i } - 4 \mathrm { j } - \frac { 7 } { 4 } \mathrm { k }\)
• C) \(3 \mathbf { i } + 4 \mathbf { j } - \frac { 7 } { 4 } \mathbf { k }\)
• D) \(6 \mathbf { i } + 8 \mathbf { j } - 2 \mathbf { k }\)

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