Find the Most General Antiderivative of the Function $f ( x ) = \frac { 2 + x ^ { 3 } } { x ^ { 3 } }$

question 263

Multiple Choice

Find the most general antiderivative of the function $f ( x ) = \frac { 2 + x ^ { 3 } } { x ^ { 3 } }$ .

• A) \(\frac { 2 + 3 x ^ { 2 } } { 3 x ^ { 2 } } + C\)
• B) \(\frac { 2 x + \frac { 1 } { 4 } x ^ { 4 } } { x ^ { 4 } } + C\)
• C) \(- \frac { 1 } { x ^ { 2 } } + 1 + C\)
• D) \(- \frac { 1 } { x ^ { 2 } } + C\)
• E) \(\frac { 1 } { x ^ { 2 } } + x + C\)
• F)
• \(\frac { 1 } { x ^ { 2 } } + 1 + C\)
• G) \(- \frac { 1 } { x ^ { 2 } } + x + C\)
• H) \(\frac { 2 } { x ^ { 2 } } + C\)

---

Definitions:

Satisfactory Alternatives

Acceptable options or solutions that are considered adequate for meeting a particular need or solving a problem, albeit not necessarily the best possible ones.

Optimal Decisions

The process of choosing the best possible solution or course of action from among various alternatives based on specific criteria and objectives.

Risk Management

Involves anticipating risks and factoring them into decision making.

Behavioral Decision Model

A model that explains decision-making processes based on the psychological and behavioral responses of individuals.