First let me define the Fourier Transform of f to be
I am trying to transform , but I haven't a clue where to begin here. I am sure that I am just not seeing some trick. Thanks in advance.
Hmm. Check your dv integration. You have to do by-parts twice on functions like that in order to get back to your original integral. You then pull it over to the other side and solve for it. You follow?
[EDIT]: Also, check whether you're computing definite or indefinite integrals, and where you're doing that. Don't mix them up!
Reply to CB at Post # 11:
Well, I was hoping that through the computations being done above, we'd be able to get to the point of recognizing the integrals that are left as the second derivatives of the Dirac Delta function. There is an inverse FT for that function:
Spoiler:
Post #3. You need a non-standard definition of an integral to do this as an intergral, and I'm pretty sure the OP has never seen such a definition (of course the OP may be an engineering student, in which case the lecturer may just wave their hands over such things and >POOFF< there it is).
CB