A continuous time periodic signal x(t) is $x(t) = 1 + 2 \cos 2\pi t + 2 \cos 4\pi t + 2 \cos 6\pi t$ If T is the period of x(t), then $\frac{1}{T} \int_{0}^{T} |x(t)|^2 dt = $ ________ (round off to the nearest integer).

GATE 2025 Electrical Engineering Q30 — Electrical Engineering

GATE 2025Set MasterQ30NATanswer keyexplanation soonmedium

Electrical Engineering · Signals and Systems - Fourier Series

Concept intelligence

Jump into a concept drill from this question.

Your answer

Studying seriously for GATE CSE?

Keep browsing free. Pro unlocks the paid study loop: explanations, topic mastery, mistake notebook, and custom PYQ drills.

Recurring concept

Signals and Systems - Fourier Series has appeared in GATE Electrical Engineering 4 times across 4 years (2018, 2019, 2025, 2026).

More questions on Signals and Systems - Fourier Series

∑ has math

Signals and SystemsPeriodic SignalFourier SeriesPower