# Math Help - MVT for Int.

1. ## MVT for Int.

How do I prove the mean value theorem for integrals for a constant function.

2. For a constant function $f(x)=c$

You want to show that there is a value z in [a,b] such that

$f(z)=\frac{1}{b-a}\int_a^bcdx=\frac{1}{b-a}c[b-a]=c$
So it turns out you can just pick any point in [a,b] and it will have this property.