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

question 121

Short Answer

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

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Definitions:

Function Morphemes

Grammatical units that serve to express grammatical relationships or functions within a language, such as prepositions, articles, and conjunctions.

Propositions

Statements or assertions that express judgments or opinions that can be either true or false.

Verbal Communication

The process of conveying messages, ideas, or feelings through the use of spoken or written language.

Extralinguistic Information

Information conveyed in communication that is not expressed through words themselves but through context, tone, body language, and other nonverbal cues.