Evaluate the Integral $\int _ { 0 } ^ { 1 } \left( t \mathbf { i } - 2 t ^ { 2 } \mathbf { j } + e ^ { - t } \mathbf { k } \right) d t$

question 49

Multiple Choice

Evaluate the integral $\int _ { 0 } ^ { 1 } \left( t \mathbf { i } - 2 t ^ { 2 } \mathbf { j } + e ^ { - t } \mathbf { k } \right) d t$ .

• A)i
• B)j
• C) \(\mathbf { i } - \mathbf { j } + \left( \frac { 1 } { e } - 1 \right) \mathbf { k }\)
• D) \(\mathbf { i } - \frac { 1 } { 2 } \mathbf { j } + \left( 1 - \frac { 1 } { e } \right) \mathbf { k }\)
• E) \(\frac { 1 } { 2 } \mathbf { i } - \mathbf { j }\)
• F) \(\frac { 1 } { 2 } \mathbf { i } - \frac { 1 } { 2 } \mathbf { j }\)
• G) \(\frac { 1 } { 2 } \mathbf { i } - \frac { 2 } { 3 } \mathbf { j } + \left( \frac { 1 } { e } - 1 \right) \mathbf { k }\)
• H) \(\frac { 1 } { 2 } \mathbf { i } - \frac { 2 } { 3 } \mathbf { j } + \left( 1 - \frac { 1 } { e } \right) \mathbf { k }\)

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