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 $[ - \pi , \pi ]$ .
$$f ( x ) = \sin ^ { 6 } x \cos ^ { 5 } x$$

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Definitions:

Auxiliary Weld

A support weld that is used in conjunction with the main weld to assist in holding components in position or to provide additional strength.

Bevel Groove Weld

A type of weld used to join two pieces at an angle with a groove made at the joining edge.

Symbol

A sign or representation that stands for its object by convention, association, or resemblance.

Weld Symbol

A notation used on engineering drawings to specify the type, size, and other details of a weld, critical for manufacturing and assembly processes.