Two approximations of the integral of a class of sinusoidal composite functions, for which an explicit form does not exist, are derived. Numerical experiments show that the proposed approximations yield an error that does not depend on the width of the integration interval. Using such approximations, definite integrals can be computed in almost real-time.

翻译：针对一类不存在显式解的正弦复合函数积分，推导出两种逼近方法。数值实验表明，所提逼近方法的误差与积分区间宽度无关。利用此类逼近，可近乎实时地计算定积分。