Express the Integrand as a Sum of Partial Fractions and Evaluate

question 381

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 3 x + 17 } { x ^ { 2 } + 9 x + 20 } d x$$

• A) \(\ln \left| \frac { ( x + 4 ) ^ { 6 } } { ( x + 5 ) ^ { 5 } } \right| + C\)
• B) \(\ln \left| \frac { ( x + 4 ) ^ { 3 } } { ( x + 5 ) ^ { 5 } } \right| + C\)
• C) \(\ln \left| \frac { ( x + 4 ) ^ { 2 } } { ( x + 5 ) ^ { 5 } } \right| + C\)
• D) \(\ln \left| \frac { ( x + 4 ) ^ { 5 } } { ( x + 5 ) ^ { 2 } } \right| + C\)

---

Definitions:

Abnormal Behaviour

Behavior that is deviant, maladaptive, or personally distressful over a relatively long period of time.

Dissociative Identity Disorder

A severe form of dissociation, a mental process which produces a lack of connection in a person's thoughts, memory, and sense of identity, formerly known as multiple personality disorder.

Freudian Explanation

Interpretations based on Sigmund Freud's theories, particularly those related to the influence of the unconscious mind, childhood experiences, and psychosexual development on behavior and personality.

Anxiety Disorders

A category of mental health disorders characterized by significant feelings of anxiety and fear, which can interfere with daily activities.