A new algorithm for integral of trigonometric functions with mechanization

In this paper, by using the theories of mathematical analysis, the authors systematically studied the problem of integrating of trigonometric functions utilizing omnipotence expressions tan x2=t. A new integral algorithm for the integral of trigonometric functions was established. And a new Maple program trigint for the calculation mechanizing for the integral of trigonometric functions was established, trigint could evaluate not only the integral of trigonometric functions utilizing omnipotence expresssions correctly but also all the other kinds of functions. The results indicated that the algorithm established in this paper had advantages of simple idea, excellent property for operation and powerful competence. This would be useful for some calculating problems of engineering mathematics.