Any idea about this problem:
Let $f:B\longrightarrow \mathbb{R}$ a bounded function in an m-rectangle $B\subset \mathbb{R}^m$
Prove that $f$ is integrable if and only if its graph has zero volume.
Any hints would be appreciated.
Any idea about this problem:
Let $f:B\longrightarrow \mathbb{R}$ a bounded function in an m-rectangle $B\subset \mathbb{R}^m$
Prove that $f$ is integrable if and only if its graph has zero volume.
Any hints would be appreciated.