Evaluate the Integral $$\int _ { 2 } ^ { 3 } \frac { x ^ { 2 } + 1 } { x ^ { 3 } + 3 x } d x$$

question 176

Multiple Choice

Evaluate the integral.
- $$\int _ { 2 } ^ { 3 } \frac { x ^ { 2 } + 1 } { x ^ { 3 } + 3 x } d x$$

• A) \(\frac { 1 } { 3 } \ln \left| \frac { 18 } { 7 } \right|\)
• B) \(\frac { 1 } { 3 } \ln \left| \frac { 2 } { 3 } \right|\)
• C) \(\frac { 2 } { 3 } \ln \left| \frac { 3 } { 2 } \right|\)
• D) \(\frac { 1 } { 3 } \ln \left| \frac { 14 } { 33 } \right|\)

Understand the factors affecting the acquisition and performance of escape and avoidance responses.

Grasp the theoretical perspectives on punishment, including its effectiveness and limitations.

Discuss the implications of delayed punishment on behavior modification.

Recognize the universal application of escape and avoidance behaviors across different organisms.

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Definitions:

Aversive Conditioning

A behavioral training technique where an undesirable behavior is paired with an unpleasant stimulus to reduce the behavior.

Unpleasant Event

An undesirable or negative occurrence that often leads to emotional discomfort or distress.

Systematic Desensitization

A behavioral therapy technique used to reduce phobic responses or anxiety by gradual exposure to the feared object or situation in conjunction with relaxation exercises.

Phobias

Intense, irrational fears of specific objects or situations that significantly affect a person's life.