Let be continuous on

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

Problem

Let

f

be continuous on

[2,b]

. If the average value of

f

on this interval is

4

and

\displaystyle \int_{2}^{b} f(x)\,dx = 12

, what is the value of

b

? (a)

3

(b)

\dfrac{7}{2}

(c)

5

(d)

8