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

question 54

Short Answer

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

---

Definitions:

Expiration

The end of an agreement or period, after which it is no longer valid or in effect.

S&P 100 Index

An American stock market index consisting of 100 large, widely held companies across multiple industries in the United States.

Exercise Price

The fixed price at which the holder of an option can buy (in the case of a call) or sell (in the case of a put) the underlying asset.

Option

A financial derivative that gives the buyer the right, but not the obligation, to buy or sell an asset at a set price on or before a given date.