Let for . How many values of in satisfy equal to the average value of on…

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

Problem

Let

g(x)=x+\sin x

for

0\le x\le 2\pi

. How many values of

c

in

(0,2\pi)

satisfy

g(c)

equal to the average value of

g

on

[0,2\pi]

? (a)

0

(b)

3

(c)

1

(d)

2

Related theory

Browse the problem library