f ( x ) = sin ( 4 x ) , [ − π , π ] {\displaystyle f(x)=\sin {(4x)}{\text{,}}\quad [-\pi ,\pi ]}
f a v g = 1 π − ( − π ) ∫ − π π sin ( 4 x ) d x {\displaystyle f_{avg}={\frac {1}{\pi -(-\pi )}}\int _{-\pi }^{\pi }\sin {(4x)}\,dx}