Determine the average value of on the interval .

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

Problem

Determine the average value of

f(x)=\sin(2x)

on the interval

\left[0,\dfrac{\pi}{2}\right]

. (a)

\dfrac{4}{\pi}

(b)

\dfrac{2}{\pi}

(c)

1

(d)

\dfrac{1}{\pi}