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

(i)	$f : X \to [-\infty, \infty]$ is an D1921: Absolutely integrable function on $M$

The signed integral of $f$ with respect to $M$ is the D993: Real number \begin{equation} \int_X f \, d \mu := \int_X f^+ \, d \mu - \int_X f^- \, d \mu \end{equation}

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

(i)	$f : X \to [-\infty, \infty]$ is an D1921: Absolutely integrable function on $M$

The signed integral of $f$ with respect to $M$ is the D993: Real number \begin{equation} \mu(f) : = \mu(f^+) - \mu(f^-) \end{equation}