Find the average value of the piecewise function f(x)= cases x^ 2 , & 0 x<1, 2x-1, &…

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

Problem

Find the average value of the piecewise function f(x)={x2,0≤x<1,2x−1,1≤x≤3f(x)=\begin{cases}x^{2}, & 0\le x<1,\\2x-1, & 1\le x\le 3\end{cases} on [0,3][0,3].

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