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

---

Definitions:

Personal Selling Process

A direct marketing approach involving face-to-face interaction between salespersons and prospective customers to present and sell products or services.

Personal Selling Process

A series of steps salespeople use, from prospecting to closing, to persuade consumers to make a purchase.

Qualified Prospect

A potential customer who has been researched and vetted to meet certain criteria making them more likely to purchase.

Personal Selling Process

The steps taken by a salesperson to engage, convince, and close deals with customers, often involving interpersonal interaction.