Determine the lower limit for which the average value of on the interval is .

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

Problem

Determine the lower limit

a

(0<a<\pi)

for which the average value of

\sin x

on the interval

[a,\pi]

\dfrac{2}{\pi}

. (a)

\dfrac{2\pi}{3}

(b)

\dfrac{\pi}{3}

(c)

\dfrac{\pi}{2}

(d)

\dfrac{3\pi}{4}