Fourier Transform of sin(2t)/t

[bert11]

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

Find the Fourier transform of

f(t) = sin(2t)/t


3. The attempt at a solution

I know I have to use duality:
if X(t) <-F-> X(jw),
then
X(jt) <-F-> 2(pi)(-w)
&
X(-jt) <-F-> 2(pi)(w)

but I am totally lost on how to use it and even generally where to begin.
Any help is appreciated.