Question

What is the area of a Unit Impulse function?

(a) Zero

(b) Half of Unity

(c) Depends on the function

(d) Unity

I have been asked this question in unit test.

I want to ask this question from The Impulse Function in section Signals and Systems Basics of Signals and Systems

Answer 1

Correct choice is (d) Unity

To explain I would say: The area under an impulse function is unity. It is defined between limits negative infinity to positive infinity with ∂(t)dt=1, i.e ∫∂(t)dt=1.  It can be seen as a rectangular pulse with width that is negligible and the height that is infinitely large and area as one.