Evaluate the Integral $\int 3 \sin 5 x \sin 2 x d x$

question 435

Multiple Choice

Evaluate the integral.
- $\int 3 \sin 5 x \sin 2 x d x$

• A) \(3 \left( \frac { \cos 3 x } { 6 } - \frac { \cos 7 x } { 14 } \right) + C\)
• B) \(3 \left( \frac { \sin 3 x } { 6 } - \frac { \sin 7 x } { 14 } \right) + C\)
• C) \(3 \left( \frac { \sin 3 x } { 6 } + \frac { \sin 7 x } { 14 } \right) + C\)
• D) \(3 ( \sin 3 x - \sin 7 x ) + C\)

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Definitions:

Wilhelm Wundt

A founder of modern psychology known for his establishment of the first psychological laboratory.

Self-Observation

Self-observation involves consciously paying attention to one’s own behaviors, thoughts, and emotions, often as a method of personal development or psychological analysis.

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A theory in psychology that describes how an external stimulus can elicit or provoke a specific response from an individual or system.

Experimental Social Psychology

A branch of psychology focusing on how individuals' thoughts, feelings, and behaviors are influenced by the actual, imagined, or implied presence of others, using experimental methods for investigation.