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GATE EC 2023 Set 1 — Question 58

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NAT+2 / -0MediumShifting, Convolution & ModulationContinuous-Time SignalsSignals & Systems

Signals & Systems → Continuous-Time Signals → Shifting, Convolution & Modulation

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Question

Let x1(t)=u(t+1.5)−u(t−1.5)x_1(t) = u(t + 1.5) - u(t - 1.5) and x2(t)x_2(t) is shown in the figure below. For y(t)=x1(t)∗x2(t)y(t) = x_1(t) * x_2(t), the ∫−∞∞y(t)dt\int_{-\infty}^{\infty} y(t) dt is ______________________(rounded off to the nearest integer).
graph of x2(t) showing a piecewise constant function with values 1 and 2
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