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

question 94

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:

Decimal Places

The quantity of numerals located after the decimal point in a number.

Logarithmic Equation

An equation that involves a logarithm, which expresses the relationship between an exponent and the base of a power.

Decimal Places

How many digits are found after the decimal point within a decimal figure.

Logarithmic Equation

An equation involving logarithms of variables or constants, which can often be solved by using properties of logarithms.