Evaluate the Integral A) $2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } + 3 \pi + 4 } { 2 } \right) j \mathbf { j } + 10 ( 1 + \sqrt { 2 } ) \mathbf { k }$

question 83

Multiple Choice

Evaluate the integral.
- $$\left. \int _ { 0 } ^ { \pi / 4 } \left[ \left( 2 \sec ^ { 2 } t \right) \mathbf { i } - ( 3 + \sin t ) \mathbf { j } - ( 10 \sec t \tan t ) \mathbf { k } \right) \right] d t$$

• A) \(2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } + 3 \pi + 4 } { 2 } \right) j \mathbf { j } + 10 ( 1 + \sqrt { 2 } ) \mathbf { k }\)
• B) \(2 \mathbf { i } + \left\{ \frac { 2 \sqrt { 2 } - 3 \pi - 4 } { 2 } \right) j + 10 ( 1 - \sqrt { 2 } ) \mathbf { k }\)
• C) \(2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } - 3 \pi - 4 } { 4 } \right) \mathbf { j } + 10 ( 1 - \sqrt { 2 } ) \mathbf { k }\)
• D) \(2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } - 3 \pi - 4 } { 2 } \right) j \mathbf { j } + 10 ( 1 + \sqrt { 2 } ) \mathbf { k }\)

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