Originally Posted by

**JackLondon** Hi there,

Just wondering if anyone can give me some clues as to how to go about getting the fourier transform using the formula integral from - infinity to + infinity f(t) e^-iwt dt

f(t) = { 1 - t/2 : 0 =< t <= 2

1 + t/2 : -2 =< t <= 0

0 : |t| > 2.

i have got as far as splitting it into four integrals and started integration by parts on 1/2 * integral between -2 and 0 of t.e^-iwt dt. it gets messy from there.. Just wondering if integration by parts is the way to go. I think i should end with an answer containing a few sinc functions.

Many thanks

Jack