Let p(x)= cases x-2, & 0 x 4, 6-x, & 4< x 8

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

p(x)=\begin{cases} x-2, & 0\le x\le 4,\\ 6-x, & 4< x\le 8. \end{cases}

Compute the total area of the region enclosed between the graph of

p

and the

x

–axis on

0\le x\le 8

. (a)

6

(b)

8

(c)

4

(d)

10