WOLFRAM|DEMONSTRATIONS PROJECT

The Integral Mean Value Theorem: An Illustration

​
position
0.8
function
sin(x)

2
x
-4
-x

log(x+1)
2
(3-x)
x-2
cos(x)
x-1
2
x
There exists a point c inside [a, b] such that (b-a)f(c) =
b
∫
a
f(x)x.