A function is below the -axis on and above the -axis on

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

Problem

A function

g

is below the

x

-axis on

[0,4]

and above the

x

-axis on

[4,6]

. The area of the region between the graph of

g

and the

x

-axis is

3

square units on

[0,4]

and

5

square units on

[4,6]

. Evaluate

\displaystyle\int_{0}^{6} g(x)\,dx

. (a)

8

(b)

-2

(c)

2

(d)

5