| 一个反常积分估计式 |
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| 引用本文： | 丁士锋. 一个反常积分估计式[J]. 高等数学研究, 2011, 14(1): 1-2 |
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| 作者姓名： | 丁士锋 |
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| 作者单位： | 中南大学数学科学与计算技术学院,湖南,长沙,410083 |
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| 摘 要： | 类比于反常积分∫+∞0sint/tdt=π2,对积分∫+∞χcost/tdt 做出估计.当x>0时,有∫+∞χcost/tdt=ln1/χ-γ+o(χ)其中γ为Euler常数.
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| 关 键 词： | 反常积分 Euler常数 Taylor级数 |
An Estimate of an Improper Integral |
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| DING Shi-feng. An Estimate of an Improper Integral[J]. Studies In College Mathematics, 2011, 14(1): 1-2 |
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| Authors: | DING Shi-feng |
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| Affiliation: | DING Shi-feng (School of Mathematics and Computing Technology, Central South University, Changsha 410083, PRC) |
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| Abstract: | Compared with the improper integral∫0^＋∞t/sintdt=π/2,we establish the following ∫0^＋∞t/costdt=ln1/x-＋0（x）where γ is Euler＇s constant. |
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| Keywords: | improper integral Euler＇ s constant Taylor series |
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