The function is defined by g(x)= cases 2x+1,&0 x<2

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

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}

(b)

\dfrac{17}{3}

(c)

\dfrac{37}{6}

(d)

\dfrac{74}{3}