Delta Function Limits: Solving Integrals from 0 to 1

[eventhorizonof]

with limits from 0 to 1

$$\int$$ delta(x) * cos(x) dx

does this delta function integral even make sense from 0 to 1?

 

[Dick]

Sort of. It's a little delicate. If you take the delta function representation to be symmetric, then it's 1/2. Otherwise it's not very well defined.