# Computing Fourier transforms with exponentials

1. Mar 26, 2012

### js10j2jh

1. The problem statement, all variables and given/known data

Compute the Fourier transform of f(x)=exp(-b|x|), b>0

2. Relevant equations

F(k)=1/2pi(integral[inf,-inf]f(x)exp(ikx)dx)

3. The attempt at a solution

F(k)=1/2pi(integral[inf,-inf]exp(ikx-b|x|)

How do I solve this? I've tried to solve it but can't get to a solution because of the modulus sign.

2. Mar 26, 2012

### sunjin09

write the integral as sum of two integrals and integrate each one of them.

3. Mar 28, 2012

Thank you!