The value of the integral \int ↙\stackrel{\infty}{−\infty}⁡12\cos ⁡ (2\pi t) \frac{ \sin ⁡ (4\pi t) }{4\pi t}dt is__________.

GATE Electronics and Communications (EC) 2015 Shift 2 Solved Paper

Question : 37 of 65

Marks: +1, -0

The value of the integral

∫ ↙{−∞}↖{∞}⁡12\cos ⁡ (2π t) \;{\ sin\;⁡\;(4π\;t)\;}/{4π\;t}dt

is__________.

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