Integrate the Function $$\int \frac { d x } { \left( x ^ { 2 } - 64 \right) ^ { 3 / 2 } } , x > 8$$

question 188

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { \left( x ^ { 2 } - 64 \right) ^ { 3 / 2 } } , x > 8$$

• A) \(\frac { \sqrt { x ^ { 2 } - 64 } } { x } + C\)
• B) \(\frac { 64 x } { \sqrt { x ^ { 2 } - 64 } } + C\)
• C) \(- \frac { x } { \sqrt { x ^ { 2 } - 64 } } + C\)
• D) \(- \frac { x } { 64 \sqrt { x ^ { 2 } - 64 } } + C\)

---

Definitions:

Specific Phobia

An intense, irrational fear of or aversion to a particular object or situation that provokes immediate anxiety and avoidance behavior.

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired together; a response that is at first elicited by the second stimulus is eventually elicited by the first stimulus alone.

Conditioned Stimulus

A stimulus that was once neutral but, through association with an unconditioned stimulus, triggers a conditioned response.

Observational Learning

Learning that occurs through observing the behaviors of others and the outcomes of those behaviors.