1. The problem statement, all variables and given/known data Computer the Fourier transform of U(t), where U(t) = 1 for |t| < 1, and U(t) = 0 for |t| > 1. 2. Relevant equations Fourier Transform: F(w) = ∫U(t)e-iwtdt (bounds: ∞, -∞) 3. The attempt at a solution If |t| < 1, obviously F(w) = 0. If |t| > 1, F(w) = (-1/wt)*[cos(-wt) + i sin(-wt)] |∞ - (-1/wt)*[cos(-wt) + i sin(-wt)] |-∞. How do I evaluate that? Obviously limt-->∞cos(-wt) and limt-->∞sin(-wt) don't exist. Or am I missing something important?