Talk:Classical Mechanics/Differential Equations

Under the common integrals section I assume the book is referring to common formulae for anti-differentiation. If that is the case then mathematical convention would have them all followed by 'plus some arbitrary constant of integration'. More importantly the first example (the anti-derivative of a function in x scaled by a constant 'a' all with respect to a differential of x) is most definitely wrong. She has no simple anti-derivative as far as I know. There are of course local series approximations, but Taylor and her associates aren't really material for an introduction to integral calc. Perhaps 'Sdx af(x)' was meant? If so the formula is still wrong; integration is a linear operation so direct internal proportion is given by external scalar multiplication. I haven't done any calc since my junior year of high-school so this could all be wrong, but I'd appreciate the attention anyone could place upon the matter. 97.83.161.77 (talk)