Mathematics

Problem

The function

g

is defined by

g(x)=\begin{cases}2x+1,&0\le x<2,\\ x^{2},&2\le x\le4.\end{cases}

Determine the average value of

g

[0,4]

. a)

\dfrac{37}{12}

\dfrac{17}{3}

\dfrac{37}{6}

\dfrac{74}{3}