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Evaluate the Integral (x23x)exdx\int \left( x ^ { 2 } - 3 x \right) e ^ { x } d x

Question 57

Multiple Choice

Evaluate the integral.
- (x23x) exdx\int \left( x ^ { 2 } - 3 x \right) e ^ { x } d x


A) ex[x25x5]+Ce ^ { x } \left[ x ^ { 2 } - 5 x - 5 \right] + C
B) ex[x23x+3]+Ce ^ { x } \left[ x ^ { 2 } - 3 x + 3 \right] + C
C) 13x3ex32x2ex+C\frac { 1 } { 3 } x ^ { 3 } e ^ { x } - \frac { 3 } { 2 } x ^ { 2 } e ^ { x } + C
D) ex[x25x+5]+Ce ^ { x } \left[ x ^ { 2 } - 5 x + 5 \right] + C

Correct Answer:

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