The function is defined on by for and decreases linearly from at to at

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

Problem

The function

f

is defined on

0\le t\le 4

f(t)=3

for

0\le t\le 2

and

f(t)

decreases linearly from

3

t=2

0

t=4

. Let

g(x)=\displaystyle\int_{0}^{x} f(t)\,dt

. What is the value of

g(4)

? (a)

6

(b)

9

(c)

12

(d)

3