Let f(x)= cases x^ 2 +1,&0 x 2 4x-3,&2< x 4 cases

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

f(x)=\begin{cases}x^{2}+1,&0\le x\le 2\\4x-3,&2< x\le 4\end{cases}.

Calculate the average value of

f

on the interval

[0,4]

. (a)

\dfrac{34}{3}

(b)

\dfrac{17}{3}

(c)

\dfrac{68}{3}

(d)

\dfrac{19}{3}