Consider the function on the interval .

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Consider the function

f(x)=x\sin x

on the interval

[0,\pi]

. (1) Determine the average value of

f

[0,\pi]

. Express your answer exactly. (2) Find all values of

x

[0,\pi]

for which

f(x)

equals the average value found in part (a). Give each value accurate to three decimal places.