Let $f, g : [a, b] \to \mathbb{R}$ each be a D1760: Riemann integrable real function such that
(i) | \begin{equation} f < g \end{equation} |
Then
\begin{equation}
\int^b_a f(x) \, d x < \int^b_a g(x) \, d x
\end{equation}