Let h(x)= cases x, & 0 x 2, 4-x, & 2< x 4

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Let

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

Determine the area of the region bounded by the graph of

h

and the

x

–axis on

0\le x\le 4

. (a)

8

(b)

2

(c)

4

(d)

6