What is the difference between a Fourier Transform and Integral?

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akol369
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Apologies in advanced for not following the guidelines, but this seems to be the most appropriate place for this question. My professor had recently taught us the techniques for performing Fourier Transforms, but I had recently lost my notes. I have the textbook, but it seems hung up on Fourier Integrals. Are these two the same thing?
 
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