标准正态分布在积分中的应用

Standard Normal Distribution Applied in the Calculus

本文首次利用标准正态分布的密度函数及性质系统的解决了被积函数为指数函数且原函数不是初等函数的积分.该方法与传统的极坐标变换相比思路清晰、方法简单.

The paper discusses the properties of normal distribution which are used in integral. known that the integral of the exponential function with the index, an quadratic polynomial, is a trival plex thing. By the new method using the properties of normal distribution, we find the integral is so It is well and corneasy.