True! Though tbh, I did not even know that property of integrals, since I've studied this stuff only in the discrete realm. At the totally basic level, another

True! Though tbh, I did not even know that property of integrals, since I've studied this stuff only in the discrete realm. At the totally basic level, another thing that I think can really trip people up and that a lot of texts are not clear about is that the transform is about moving between representations and that we're not actually transforming anything. Not enough maths texts take the time to explain how the representation connects up with the objects we wish to study and how there are multiple possible ways to represent them, and in some cases, like Fourier, useful ways to "translate" between different representations.