Evaluate the Integral Using Integration by Parts $\int x \mathrm { e } ^ { - x } \mathrm { dx }$

question 57

Multiple Choice

Evaluate the integral using integration by parts.
- $\int x \mathrm { e } ^ { - x } \mathrm { dx }$

• A) - x \(\mathrm { e } ^ { - \mathrm { x } }\) - \(\mathrm { e } ^ { - \mathrm { x } }\) + C
• B) - x \(\mathrm { e } ^ { - \mathrm { x } }\) + \(\mathrm { e } ^ { - \mathrm { x } }\) + C
• C) x \(\mathrm { e } ^ { - \mathrm { x } }\) + \(\mathrm { e } ^ { - \mathrm { x } }\) + C
• D) x \(\mathrm { e } ^ { - \mathrm { x } }\) - \(\mathrm { e } ^ { - \mathrm { x } }\) + C

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