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## Homework Statement

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).

## Homework Equations

F(w) = integral from -infinity to +infinity of: f(t)exp(-iwt)dw

## 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.