| 一例经典瑕积分的计算方法探究 |
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| 引用本文： | 王成强.一例经典瑕积分的计算方法探究[J].广州城市职业学院学报,2020,14(2):25-30. |
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| 作者姓名： | 王成强 |
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| 作者单位： | 成都师范学院 数学学院,四川 成都611130 |
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| 基金项目： | 国家自然科学基金;成都师范学院校级重点项目;成都师范学院校级教改项目 |
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| 摘 要： | 以不同方式结合正弦函数的特性、正余弦函数的关系、换元积分法等方法,及被积函数的特性,探究出大学数学书本上一例经典瑕积分的九种计算方法,并总结出这些探究过程中新的发现,以期为瑕积分的教与学带来更多思考。
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| 关 键 词： | 大学数学 瑕积分 RIEMANN积分 解法探究 |
Investigation on Ways to Compute a classical Improper Integral |
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| WANG Cheng-qiang.Investigation on Ways to Compute a classical Improper Integral[J].Journal Of Guangzhou City Polytechnig,2020,14(2):25-30. |
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| Authors: | WANG Cheng-qiang |
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| Institution: | (School of Mathematics, Chengdu Normal University, Chengdu 611130, China) |
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| Abstract: | Combine the characteristics of the sine function,the relationship of sine and cosine functions,integration by change of variables and the characteristics of the integrand in different ways to investigate the nine methods to calculate a classical improper integral occurred in college mathematics,and summarize the new findings in these investigation processes,with a desire to bring in more thinking in the direction of teaching and learning improper integrals in college mathematics. |
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| Keywords: | college mathematics improper integrals Riemann’s integrals investigation on solutions |
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