On the interval

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

Problem

On the interval

[0,\pi]

, let

u(x)=\sin x

and

v(x)=x

. Without evaluating any definite integrals explicitly, determine which of the following is true about their average values

\bar u

and

\bar v

[0,\pi]

. (a)

\bar u=\bar v

(b)

\bar u<\bar v

(c)

\bar u>\bar v

(d) \text{No definite relation can be stated}