Question

What is the mean value theorem for integrals?

Answer 1

Really?

Answer 2

http://www.sosmath.com/calculus/integ/integ04/integ04.html ...does this site help?

Answer 3

If f is continuous on [a,b] the fave = f(c) for at least one number c in [a,b].

Answer 4

\[
f(b)-f(a)=f'(c)(b-a)
\]Let \(g(x)=f'(x)\)\[

\int_a^bg(x)\;dx=g(c)(b-a)
\]