节点文献
奇偶函数定积分性质的推广
The Promotion of Odd Function and Even Function Definite Integral
【摘要】 定积分的计算通常用换元法求出原函数,然后使用牛顿-莱布尼兹公式求出结果.但对于被积函数的原函数无法用初等函数表达的情况下,却无能为力.如果由奇偶函数在对称区间上定积分的基本性质出发,经过变换被积函数变形,进而推广到一般情形,那么就可得到计算这种定积分的重要方法,以此来解决用常法无法计算的定积分问题.
【Abstract】 The result of definite integrals is often calculated by conversion method and Newton-Leibniz formula.However,if the primitive function of integrand cannot be indicated by elementary function,the method above cannot be fit.We can explain it from the basic properties,and then change the structure of the integrand,and then we can get an important solution to definite integral,which can solve many abnormal definite integral problems.
【关键词】 连续函数;
定积分;
奇函数;
偶函数;
推广;
【Key words】 Continuous Functions; Definite Integral; Odd Function; Even Function; Popularize;
【Key words】 Continuous Functions; Definite Integral; Odd Function; Even Function; Popularize;
- 【文献出处】 商丘职业技术学院学报 ,Journal of Shangqiu Vocational and Technical College , 编辑部邮箱 ,2016年02期
- 【分类号】O172.2
- 【下载频次】97