Hello, I am a HS Senior and in my AP chem class we discussed Fourier Transform and their applications (didn't actually do any math with it, just how it works and the formula) in spectroscopy. It seemed pretty interesting to me. But I have a simple question about the formula that I just don't get. I noticed that in the integral, there is a e^-2*pi*i. This will probably sound really stupid but given that I have only taken up to Calc BC and HS Physics, why isn't this simplified to 1 via Euler's formula??? And how would you even go about evaluating the integral? My TI-89 was unable to solve the complex integral... I think it might be related to the fact that frequency doesn't measure cycles per unit time like wiki says....but then what does it measure??