Evaluate the Integral A) $6 \mathbf { i } - 45 \mathrm { j } + \frac { 9 } { 10 } \mathrm { k }$

question 44

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 3 } \left[ \left( \frac { 3 } { \sqrt { 1 + t } } \right) i - \left( 5 t ^ { 2 } \right) j + \left( \frac { 12 t } { \left( 1 + t ^ { 2 } \right) ^ { 2 } } \right) k \right] d t$$

• A) \(6 \mathbf { i } - 45 \mathrm { j } + \frac { 9 } { 10 } \mathrm { k }\)
• B) \(3 \mathbf { i } - 45 \mathrm { j } + \frac { 27 } { 5 } \mathbf { k }\)
• C) \(6 \mathbf { i } - 45 \mathbf { j } + \frac { 27 } { 5 } \mathbf { k }\)
• D) \(6 \mathbf { i } + 45 \mathbf { j } + \frac { 9 } { 10 } \mathbf { k }\)

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