Figure out why seems to equal an imaginary odd function of frequency, but there is no j.
This is the incorrect solution derived in class. Cosine is incorrect, because a real odd function of time, ,should map to an imaginary odd function of frequency.
|Even function integrates out over symmetric limits|
|Time integrates out|
- The odd function of time has no component (ie. 0) of frequency. Thus it is an even function in frequency.