一元函数定积分的计算方法及策略

Calculation Method and Strategy of Definite Integral of One Variable Function

为了简化一元函数定积分的计算难度,介绍了几种常见的计算方法:几何意义法、奇偶性法、直接积分法、换元法和分部积分法。计算策略为:要依次按照以下顺序考虑计算方法,即奇偶性法、几何意义法、直接积分法、换元法和分部积分法。本研究结合例题逐一分析了这些计算方法,并从计算方法顺序方面给出了策略,这样能够提高运算效率,减少运算时间。

In order to simplify the calculation difficulty of one variable function definite integral,the paper analyzes several common calculation methods,including geometric meaning method,parity method,direct integration method,transformation method and partial integration method.The calculation strategy should be considered according to the following calculation methods in order,i.e parity method,geometric meaning,direct integration method,transformation method and partial integration.The paper analyzes the calculation methods one by one through combining with the example,and provides suggestions by calculation method order,so as to improve calculation efficiency and reduce calculation time.