Evaluate the Integral $$\int ( 7 x + 2 ) e ^ { - 4 x } d x$$

question 68

Multiple Choice

Evaluate the integral.
- $$\int ( 7 x + 2 ) e ^ { - 4 x } d x$$

• A) \(- 28 x \mathrm { e } ^ { - 4 x } - 120 \mathrm { e } ^ { - 4 x } + \mathrm { C }\)
• B) \(- \frac { 7 } { 4 } \times e ^ { - 4 x } - e ^ { - 4 x } + C\)
• C) \(- \frac { 7 } { 4 } x e ^ { - 4 x } - \frac { 15 } { 16 } e ^ { - 4 x } + C\)
• D) \(\frac { 7 } { 4 } x \mathrm { e } ^ { - 4 \mathrm { x } } + \frac { 15 } { 16 } \mathrm { e } ^ { - 4 \mathrm { x } } + \mathrm { C }\)

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