Evaluate the Integral $$\int _ { 0 } ^ { 4 } \left[ - \mathbf { i } - \frac { 2 t } { \left( 7 + t ^ { 2 } \right) ^ { 2 } } j + \frac { 15 } { 2 } \sqrt { t k } \right] d t$$

question 26

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { 4 } \left[ - \mathbf { i } - \frac { 2 t } { \left( 7 + t ^ { 2 } \right) ^ { 2 } } j + \frac { 15 } { 2 } \sqrt { t k } \right] d t$$

• A) \(+ 4 i + \frac { 16 } { 161 } j + 40 k\)
• B) \(- 4 i - \frac { 16 } { 161 } j - 40 k\)
• C) \(- 4 i - \frac { 16 } { 161 } j + 40 k\)
• D) \(- 4 i + \frac { 4 } { 77 } j + 40 k\)

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