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Evaluate the Integral (3x+7)e5xdx\int ( 3 x + 7 ) e ^ { - 5 x } d x

Question 393

Multiple Choice

Evaluate the integral.
- (3x+7) e5xdx\int ( 3 x + 7 ) e ^ { - 5 x } d x


A) 35xe5x3825e5x+C- \frac { 3 } { 5 } x e ^ { - 5 x } - \frac { 38 } { 25 } e ^ { - 5 x } + C
B) 15xe5x110e5x+C- 15 x e ^ { - 5 x } - 110 e ^ { - 5 x } + C
C) 35xe5x+3825e5x+C\frac { 3 } { 5 } x e ^ { - 5 x } + \frac { 38 } { 25 } e ^ { - 5 x } + C
D) 35xe5xe5x+C- \frac { 3 } { 5 } x e ^ { - 5 x } - e ^ { - 5 x } + C

Correct Answer:

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