Evaluate the Integral A) $11 \mathbf { i } + 10 \ln 2 \mathbf { j } + ( 1 + \sqrt { 2 } ) \mathbf { k }$

question 33

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \left[ \left( 27 t ^ { 2 } - 2 \right) \mathbf { i } + \frac { 20 t } { t ^ { 2 } + 1 } \mathbf { j } - \frac { t } { \sqrt { t ^ { 2 } + 1 } } \mathbf { k } \right] d t$$

• A) \(11 \mathbf { i } + 10 \ln 2 \mathbf { j } + ( 1 + \sqrt { 2 } ) \mathbf { k }\)
• B) \(11 \mathbf { i } + 10 \ln 2 \mathbf { j } + ( 1 - \sqrt { 2 } ) \mathbf { k }\)
• C) \(7 \mathbf { i } + 10 \ln 2 \mathbf { j } + ( 1 - \sqrt { 2 } ) \mathbf { k }\)
• D) \(11 \mathbf { i } + 10 \ln 2 \mathbf { j } + \frac { 1 - \sqrt { 2 } } { 2 } \mathbf { k }\)

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