Evaluate the Integral $$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 6 } x d x$$

question 51

Multiple Choice

Evaluate the integral. $$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 6 } x d x$$

• A) \(\frac { 5 } { 32 } \pi\)
• B) \(\frac { 3 } { 16 } \pi\)
• C) \(\frac { 5 } { 16 } \pi\)
• D) \(\frac { 3 } { 32 } \pi\)

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Definitions:

Deindividuation

A tendency to lose one’s sense of individuality when in a group or crowd.

High Cognitive Load

A situation where the task at hand requires a significant amount of mental effort and working memory, potentially affecting performance and decision-making.

Self-Awareness

The conscious knowledge of one's own character, feelings, motives, and desires.

Social Loafing

The phenomenon where individuals exert less effort to achieve a goal when they work in a group than when they work alone.