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Evaluate the Integral (7x+2)e4xdx\int ( 7 x + 2 ) e ^ { - 4 x } d x

Question 68

Multiple Choice

Evaluate the integral.
- (7x+2) e4xdx\int ( 7 x + 2 ) e ^ { - 4 x } d x


A) 28xe4x120e4x+C- 28 x \mathrm { e } ^ { - 4 x } - 120 \mathrm { e } ^ { - 4 x } + \mathrm { C }
B) 74×e4xe4x+C- \frac { 7 } { 4 } \times e ^ { - 4 x } - e ^ { - 4 x } + C
C) 74xe4x1516e4x+C- \frac { 7 } { 4 } x e ^ { - 4 x } - \frac { 15 } { 16 } e ^ { - 4 x } + C
D) 74xe4x+1516e4x+C\frac { 7 } { 4 } x \mathrm { e } ^ { - 4 \mathrm { x } } + \frac { 15 } { 16 } \mathrm { e } ^ { - 4 \mathrm { x } } + \mathrm { C }

Correct Answer:

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