工程设计中一类定积分的近似计算  

The Approximate Computation for a Type of Definite Integration in Engineering Design

作　　者：李平乐[1] 

机构地区：[1]娄底职业技术学院机电工程系,湖南娄底417000

出　　处：《湖南工业大学学报》2012年第1期6-9,共4页Journal of Hunan University of Technology

摘　　要：给出了定积分∫ba ln sin xdx的2个不等式及其证明过程,并用来计算该定积分的近似值,通过举例对近似计算的方法作了说明。计算结果表明:该方法可获得较高的计算精度,并能确定误差大小;若将积分区间细分,可进一步提高计算精度。Introduces two inequalities of the definite integral ∫^ba In sin xdx and its proof. Uses them to calculate its approximate value and illustrates the approximate computation through an example. The results show that the method is of higher precision and can determine the integral errors; if the integration interval subdivides, it will further improve the accuracy of calculation.

关 键 词：积分不等式 近似计算 估算误差 

分 类 号：O242[理学—计算数学]