Question

Consider figure 4, is the given y (t) an integration of x (t)?

(a) Y (t) = ∫x (t).dt

(b) Y (t) = ∫x^2 (t).dt

(c) Y (t) = 3* ∫x (t).dt

(d) Y (t) = 3* ∫x^2 (t).dt

The question was posed to me during an online exam.

My enquiry is from Basic Operations on Signals in division Signals and Systems Basics of Signals and Systems

Answer 1

The correct answer is (a) Y (t) = ∫x (t).dt

Best explanation: The given y (t) is integral of x (t) and amplitude 3 remains constant for t>1.

It is because of the properties of integration.