1. The problem statement, all variables and given/known data F(w) is the Fourier transform of f(t). Write down the equation for F(w) in terms of f(t). A rectangular pulse has height H and total length t0 in time. Show that as a function of w, the amplitude density is propertional to sinc(wt0/2). 2. Relevant equations F(w) = integral from -infinity to +infinity of: f(t)exp(-iwt)dw 3. The attempt at a solution integral from -t0/2 to +t0/2 of: h*exp(-iwt)dw I have access to the solution to this problem, which says that it should be: integral from -t0/2 to +t0/2 of: h*exp(-iwt)dt, but I don't understand why I'm integrating wrt t now, when the definition says w. Could somebody please explain this? Thanks in advance.