I've looked around and am having a hard time finding common terms in definitions to know how they relate. Are all transforms based upon integrals/derivatives? Are integrals/derivatives a type of transform? Are integrals/derivatives measurements of transforms? I believe that is correct, but I just want to make sure. It also appears that there are multiple types of transforms, and some of them are called integral transforms. These are the Fourier, Laplace, Hilbert, etc transforms.