积分公式∫_a^bf(x)dx=∫_a^bf(a+b-x)dx的应用初探

A Preliminary probe into Applications of an Integral Formula ∫ b af(x) d x=∫ b af(a+b-x) d x

本文从两个方面对公式∫ｂａｆ（ｘ）ｄｘ＝∫ｂａｆ（ａ＋ｂ－ｘ）ｄｘ的应用做了初步探讨。这两方面是：证明有关积分的等式和计算含有三角函数的积分。

In this paper,applications for the formula ∫ b af(x) d x=∫ b af(a+b-x) d x are probed in two respects:the proof of integral equality and the computation of trigonometric function integration.