Evaluate the Integral $\int e ^ { 2 x } x ^ { 2 } d x$

question 111

Multiple Choice

Evaluate the integral.
- $\int e ^ { 2 x } x ^ { 2 } d x$

• A) \(\frac { 1 } { 2 } x ^ { 2 } e ^ { 2 x } - \frac { 1 } { 2 } x e ^ { 2 x } + C\)
• B) \(\frac { 1 } { 2 } \mathrm { x } ^ { 2 } \mathrm { e } ^ { 2 \mathrm { x } } - \mathrm { xe } \mathrm { e } ^ { 2 \mathrm { x } } + \frac { 1 } { 4 } \mathrm { e } ^ { 2 \mathrm { x } } + \mathrm { C }\)
• C) \(\frac { 1 } { 2 } x ^ { 2 } e ^ { 2 x } - \frac { 1 } { 4 } x e ^ { 2 x } + \frac { 1 } { 4 } e ^ { 2 x } + C\)
• D) \(\frac { 1 } { 2 } x ^ { 2 } e ^ { 2 x } - \frac { 1 } { 2 } x e ^ { 2 x } + \frac { 1 } { 4 } e ^ { 2 x } + C\)

---

Definitions:

Rubber Hoses

Flexible tubes constructed from rubber used for conveying liquids or gases under pressure.

Task Variety

The degree to which a job includes a variety of different activities requiring different skills and talents.

Job Rotation

A method of employee development where individuals periodically move through a variety of positions or jobs to gain broad experience.

Job Design Strategy

The process of defining how work will be performed and what tasks will be required in a given job to improve productivity and employee satisfaction.