Integrate the Function $$\int \frac { 9 \mathrm { dx } } { \sqrt { 9 + \mathrm { x } ^ { 2 } } }$$

question 360

Multiple Choice

Integrate the function.
- $$\int \frac { 9 \mathrm { dx } } { \sqrt { 9 + \mathrm { x } ^ { 2 } } }$$

• A) \(9 \ln \left| x + \sqrt { 9 + x ^ { 2 } } \right| + C\)
• B) \(\frac { 2 } { x ^ { 2 } + 9 } + C\)
• C) \(9 \ln \left| \sqrt { 9 + x ^ { 2 } } \right| + C\)
• D) \(x + \ln \left| 9 + \sqrt { 9 + x ^ { 2 } } \right| + C\)

---

Definitions:

Mental Illness

A broad range of mental health conditions that affect mood, thinking, behavior, and interaction with others.

Dimensional Approach

A method of understanding or diagnosing mental health issues by assessing them along a continuum rather than through categorical means; it acknowledges the complexity and varying degrees of psychological traits.

Categorical Approach

A method of classifying mental disorders based on distinct categories of diagnoses, each defined by specific criteria, often used in systems like the DSM and ICD.

Classification

The systematic arrangement in groups or categories according to established criteria.