| 构造二重积分解决定积分问题 |
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| 引用本文： | 臧秀娟.构造二重积分解决定积分问题[J].辽东学院学报(自然科学版),2005,12(1):53-54. |
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| 作者姓名： | 臧秀娟 |
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| 作者单位： | 辽东学院,基础部,辽宁,丹东,118003 |
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| 摘 要： | 定积分不等式的证明方法多种多样。一般常规的方法有: 研究被积函数在给定区间上的单调性、凸性、最值等。本文将给出一种方法, 即利用变量替换手段将定积分转化为二重积分, 再去证明。
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| 关 键 词： | 定积分 累次积分 二重积分 |
| 文章编号： | 1008-2174(2005)01-0053-02 |
| 修稿时间： | 2004年12月5日 |
Use Double Integral to Deal with Definite Integral Problem |
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| ZANG Xiu-juan.Use Double Integral to Deal with Definite Integral Problem[J].Journal of Liaodong University：Natural Sciences,2005,12(1):53-54. |
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| Authors: | ZANG Xiu-juan |
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| Abstract: | The inequality of definite integral can be proved in many different kinds of ways.To study the character of monotony,convexity and minimum and maximum of integrand in given intervals is the very common way.This article will discuss it with another way,that is to use the measures of variable conversion to change the definite integral into double integral,and then to prove it. |
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| Keywords: | definite integral repeated integral double integral |
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