Find the Average Value of the Function $f ( x )$

question 53

Multiple Choice

Find the average value of the function $f ( x )$ in the interval $[ - \pi , \pi ]$ .
$$f ( x ) = \sin ^ { 6 } x \cos ^ { 5 } x$$

• A) \(\pi\)
• B) 0
• C) \(\frac { \pi } { 5 }\)
• D) \(\frac { \pi } { 12 }\)
• E) \(\frac { \pi } { 6 }\)

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Definitions:

Association

A relationship between two or more variables, where changes in one variable correspond with changes in another, without implying causation.

Emerson's Exchange Network

A concept in sociology that examines social relations through the lens of exchange theory, focusing on power dynamics and reciprocity.

Valued Resources

Assets or commodities that are highly regarded or considered of great importance within a society or by individuals.

Exchange Opportunities

Situations or conditions that allow for the trading of goods, services, or information between parties.