load(antid)$
derivabbrev : true$
/*
   The demonstration functions chosen are the Nth derivatives of the
product of the first M derivatives of U(x).  This function, G, is then
integrated once using ANTID >.
*/
 for n : 1 thru 2 do 
  for m : 0 thru 3 do (
    g : diff(product(diff(u(x), x, i), i, 0, m), x, n),
      display(antidiff(g, x, u(x)))  )$
/*
      The function need not be a polynomial, for example:
*/
g : diff(%e^u(x)*sin(u(x)), x, 2);
antidiff(g, x, u(x));
antidiff(%, x, u(x));
ratsimp(%);