Calculate the average value of the function f(x)= cases x^ 2 , & 0 x 2, 4x-4, & 2< x…

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

Problem

Calculate the average value of the function

f(x)=\begin{cases} x^{2}, & 0\le x\le 2,\\ 4x-4, & 2< x\le 4 \end{cases}

on the interval

[0,4]

. Give your answer as an exact value.