Find the Integral $\int \frac{3 x-5}{x^{2}-2 x-3} d x$ A) $\ln \left|(x-3)(x+1)^{2}\right|+C$

question 49

Multiple Choice

Find the integral. $\int \frac{3 x-5}{x^{2}-2 x-3} d x$

• A) \(\ln \left|(x-3)(x+1)^{2}\right|+C\)
• B) \(\ln \left|(x+3)(x-1)^{2}\right|+C\)
• C) \(\ln \left|(x+1)(x-3)^{2}\right|+C\)
• D) \(\ln \left|(x-1)(x+3)^{2}\right|+C\)

---

Definitions:

Obsessive-Compulsive

Referring to a disorder characterized by unwanted, intrusive thoughts (obsessions) and repetitive behaviors or mental acts (compulsions) that the person feels the urge to perform.

Psychodynamic

An approach in psychology which emphasizes systematic study of the psychological forces that underlie human behavior, feelings, and emotions and how they might relate to early experience.

Cognitive-Behavioral

Pertaining to a therapy approach that combines cognitive and behavioral techniques to change negative patterns of thinking and behavior.

Behavioral

Relating to or concerning the actions or reactions of a person in response to external or internal stimuli.