Express the Integrand as a Sum of Partial Fractions and Evaluate

question 205

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $\int _ { 3 } ^ { 7 } \frac { 4 x d x } { ( x - 2 ) ^ { 3 } }$

• A) \(\frac { 176 } { 25 }\)
• B) \(- \frac { 176 } { 25 }\)
• C) \(\frac { 44 } { 25 }\)
• D) \(- \frac { 224 } { 25 }\)

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Definitions:

Somatic Symptom Disorders

A category of mental disorders characterized by excessive thoughts, feelings, or behaviors related to physical symptoms, leading to significant distress or impairment.

Factitious Disorders

A mental disorder in which a person acts as if they have a physical or mental illness when they are not really sick, often done to gain attention or sympathy.

Psychological Stress

A form of stress experienced as a result of perceived pressures, conflicts, and demands that challenge an individual’s ability to cope, potentially affecting mental health.

Voluntary Control

The ability to consciously regulate one's own thoughts, feelings, or actions.