Symbolic evaluation of integrals occurring in accelerator orbit theory

Definite integrals which appear in the perturbation theory of a particle's transverse oscillations and chromatic aberrations inside an accelerator are evaluated by symbolic computation. The symbolic program and the automatic FORTRAN coding of the generated functions are described. The results are checked by comparison with those obtained by direct numerical integration. It turns out that, once having established the FORTRAN function subprograms symbolically, their use for different parameters requires much less time than direct numerical integration.