1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Fourier transform problem

  1. Nov 28, 2008 #1
    1. The problem statement, all variables and given/known data

    Let a function f on (-[tex]\infty[/tex], [tex]\infty[/tex]) be defined as

    f(x) = cos x, if |x|<1;
    f(x) = 0, otherwise

    Find the Fourier transform of f and then evaluate the integral

    [tex]\int ^{\infty}_{\infty} \frac{sin 2w}{w} cosw dw[/tex]

    2. The attempt at a solution

    I calculate the Fourier transform: [tex]\frac{1}{\sqrt{2 \pi}}(\frac{sin(1-w)}{1-w} + \frac{sin(1+w)}{1+w})[/tex]

    This is the correct answer.

    Now, how can this be used to calculate the integral?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted