Evaluate the Integral $\int \left( x ^ { 2 } + 1 \right) e ^ { 8 x + 2 } \mathrm {~d} x$

question 99

Multiple Choice

Evaluate the integral. $\int \left( x ^ { 2 } + 1 \right) e ^ { 8 x + 2 } \mathrm {~d} x$

• A) \(\frac { e ^ { 8 x + 2 } } { 512 } \left( 64 x ^ { 2 } - 16 x - 66 \right) + C\)
• B) \(\frac { e ^ { 8 x + 2 } } { 64 } \left( 64 x ^ { 2 } - 16 x + 66 \right) + C\)
• C) \(\frac { e ^ { 8 x + 2 } } { 512 } \left( 64 x ^ { 2 } + 16 x - 66 \right) + C\)
• D) \(\frac { e ^ { 8 x + 2 } } { 8 } \left( 64 x ^ { 2 } + 16 x - 66 \right) + C\)
• E) \(\frac { e ^ { 8 x + 2 } } { 512 } \left( 64 x ^ { 2 } - 16 x + 66 \right) + C\)

---

Definitions:

Foreign Markets

The marketplaces outside a company's home country where it can engage in trading, investment, or business operations.

Perceptual Competencies

The ability to interpret, understand, and respond appropriately to information gathered through the senses, vital in decision making and problem-solving processes.

Foreigners' Behaviour

The actions, habits, and practices of individuals from a country different from where they are currently residing or visiting.

Union Density

The ratio of workers who are union members compared to the total eligible workforce, indicating the extent of unionization in a particular sector or region.