Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that

(i)	$f : X \to [0, \infty]$ is a D313: Measurable function on $M$

The unsigned basic integral measure on $M$ with respect to $f$ is the D4361: Unsigned basic function $$\begin{equation} \mathcal{F} \to [0, \infty], \quad E \mapsto \int_E f \, d \mu \end{equation}$$