# Category:Integral of Bounded Measurable Function with respect to Finite Signed Measure

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This category contains results about **Integral of Bounded Measurable Function with respect to Finite Signed Measure**.

Let $\struct {X, \Sigma}$ be a measurable space.

Let $f : X \to \R$ be a bounded $\Sigma$-measurable function.

Let $\mu$ be a finite signed measure on $\struct {X, \Sigma}$.

Let $\tuple {\mu^+, \mu^-}$ be the Jordan decomposition of $\mu$.

Then the **$\mu$-integral of $f$** is defined by:

- $\ds \int f \rd \mu = \int f \rd \mu^+ - \int f \rd \mu^-$

## Pages in category "Integral of Bounded Measurable Function with respect to Finite Signed Measure"

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