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

question 1

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:

At Cost

A term used to describe goods or services being sold or valued at their original purchase price, without any markup or profit margin.

Cumulative

An adjective describing something that increases or accumulates over time, often used in the context of dividends or data.

Dividends In Arrears

Unpaid dividends on preferred stock that have not yet been distributed to shareholders, usually accumulated from previous periods.

Preferred Stock

A class of ownership in a corporation that has a higher claim on assets and earnings than common stock, often receiving dividends before common shareholders.