Evaluate the Integral $\int \left( e ^ { 9 t } \mathbf { i } + 14 t \mathbf { j } + \ln t \mathbf { k } \right) d t$

question 83

Multiple Choice

Evaluate the integral. $\int \left( e ^ { 9 t } \mathbf { i } + 14 t \mathbf { j } + \ln t \mathbf { k } \right) d t$

• A) \(\frac { e ^ { 9 t } } { 9 } \mathbf { i } + 7 t ^ { 2 } \mathbf { j } + t ( \ln t - 1 ) \mathbf { k } + C\)
• B) \(e ^ { 9 t } \mathbf { i } + 7 t ^ { 2 } \mathbf { j } + ( \ln t - 1 ) \mathbf { k } + \mathrm { C }\)
• C) \(\frac { e ^ { 9 t } } { 9 } \mathbf { i } + 7 t ^ { 2 } \mathbf { j } + t ( \ln t + 9 ) \mathbf { k } + C\)
• D) \(\frac { e ^ { 9 t } } { 9 } \mathbf { i } - 7 t ^ { 2 } \mathbf { j } + t ( \ln t + 1 ) \mathbf { k } + C\)
• E) \(e ^ { 9 t } \mathbf { i } - 7 t ^ { 2 } \mathbf { j } + ( \ln t - 1 ) \mathbf { k } + \mathrm { C }\)

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