Some problems with the use of the Dirac delta function I: What is the value of ${\mathbf{\int }}_{\mathbf{0}}^{\mathbf{\infty }}\mathit{\delta }(\mathit{x})$dx?

This is the first of a series of articles dealing with the casual use of distributions made by physicists and engineers. This use is very economical but sometimes leads to embarrassing conclusions that are difficult to justify with rigorous theories of distributions.

Keywords
Dirac delta function; distributions