GATE EE 2016 Set 2 — Question 39

MCQ+2 / -0.67EasyDefinite & Improper IntegralsCalculusEngineering MathematicsFourier Transform PropertiesFourier Analysis & SamplingSignals & Systems

Engineering Mathematics → Calculus → Definite & Improper Integrals

Last updated 5 September 2026

Question

2 \int_{-\infty}^{\infty} \left( \frac{\sin 2\pi t}{\pi t} \right) dt

\int_{-\infty}^{\infty} \frac{\sin(at)}{t} dt = \pi \text{ sgn}(a)

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\int_{-\infty}^{\infty} \frac{\sin(at)}{t} dt = \pi \text{ sgn}(a)

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