Best answer, although I work with delta “functions” a lot so I actually have to be careful picking which interval with boundary {a,b} to pick (for example, if I integrated δ(t-a)+δ(t-b) over all t in (a,b), I’d get 0, but if I integrated those deltas over (a,b] I’d get 1, and integrating over [a,b] would give 2).
Also I do have to do integrals with parameters and multiple variables so I can’t really leave out the differential.
Best answer, although I work with delta “functions” a lot so I actually have to be careful picking which interval with boundary {a,b} to pick (for example, if I integrated δ(t-a)+δ(t-b) over all t in (a,b), I’d get 0, but if I integrated those deltas over (a,b] I’d get 1, and integrating over [a,b] would give 2).
Also I do have to do integrals with parameters and multiple variables so I can’t really leave out the differential.