The Fourier transform of e-|2t| is \_\_\_\_\_\_\_\_. | Engineering Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The Fourier transform of e-|2t| is ________.

A

$\frac{4}{4-\omega^2}$

B

$\frac{4}{4+\omega^2}$

C

$\frac{2}{2+\omega}$

D

$\frac{2}{2-\omega}$

Answer

$\frac{4}{4+\omega^2}$

Explanation

Solution

The correct option is (B) : $\frac{4}{4+\omega^2}$ .