The function is defined on by r(x)= cases 2, & 0 x<3, -2, & 3 x 6 cases Without…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The function rr is defined on [0,6][0,6] by r(x)={2,0≤x<3,−2,3≤x≤6r(x)=\begin{cases} 2, & 0\le x<3,\\ -2, & 3\le x\le 6 \end{cases} Without performing any integration, explain in one sentence why the average value of rr on [0,6][0,6] is 00.

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