Lets say $f(x) = e^x$ and we approach the integral $$\int_a^b f(x)\, dx$$ with the Simpson type $$Q(f)=(b-a)/6{f(a)+4f((a+b)/2)+f(b)}$$
how can i prove that: $\int_a^b f(x)\,dx < Q(f)$?
(also $a,b$ belong to $\Bbb R$, $a < b$, and $f$ belongs to $C^4[a,b]$ )