$\text { Determine whether the improper integral } \int _ { 0 } ^ { \infty } e ^ { - 3 x } \sin ( 3 x ) d x \text { diverges or converges. }$

question 33

Multiple Choice

$\text { Determine whether the improper integral } \int _ { 0 } ^ { \infty } e ^ { - 3 x } \sin ( 3 x ) d x \text { diverges or converges. }$ Evaluate the integral if it converges.

• A) 18
• B) 9
• C) \(\frac { 1 } { 6 }\)
• D) 3
• E) diverges

---

Definitions:

Sentiments

Complex emotions or feelings that involve judgments and evaluations of a particular situation or experience.

Maslow

Refers to Abraham Maslow, a psychologist known for creating Maslow's hierarchy of needs, a theory of psychological health predicated on fulfilling innate human needs in priority, culminating in self-actualization.

Needs

Essential requirements for survival and psychological well-being, including basic physical and emotional needs.

Self-actualizers

Individuals who continually seek personal growth and fulfillment, striving to achieve their highest potential and capabilities.