高等数学中牛顿-莱布尼茨公式的教学探讨

张双虎,欧增奇

doi:10.13718/j.cnki.xsxb.2014.12.035

西南师范大学学报(自然科学版)

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高等数学中牛顿-莱布尼茨公式的教学探讨

张双虎,欧增奇. 高等数学中牛顿-莱布尼茨公式的教学探讨[J]. 西南师范大学学报(自然科学版), 2014, 39(12). doi: 10.13718/j.cnki.xsxb.2014.12.035

引用本文:

张双虎,欧增奇. 高等数学中牛顿-莱布尼茨公式的教学探讨[J]. 西南师范大学学报(自然科学版), 2014, 39(12). doi: 10.13718/j.cnki.xsxb.2014.12.035

ZHANG Shuang-hu,OU Zeng-qi. On Newton-Leibniz Formula in Teaching the Higher Mathematics[J]. Journal of Southwest China Normal University(Natural Science Edition), 2014, 39(12). doi: 10.13718/j.cnki.xsxb.2014.12.035

Citation:

ZHANG Shuang-hu,OU Zeng-qi. On Newton-Leibniz Formula in Teaching the Higher Mathematics[J]. Journal of Southwest China Normal University(Natural Science Edition), 2014, 39(12). doi: 10.13718/j.cnki.xsxb.2014.12.035

高等数学中牛顿-莱布尼茨公式的教学探讨

张双虎,欧增奇

西南大学数学与统计学院,重庆,400715

On Newton-Leibniz Formula in Teaching the Higher Mathematics

ZHANG Shuang-hu,OU Zeng-qi

摘要: New ton‐Leibniz formula ,w hich provides an efficient method for the computation of definite inte‐grals ,is the very kernel theorem .However ,the computation of definite integrals is subjected to some re‐striction ,since the theorem can only be used under a better assumption .In this paper ,New ton‐Leibniz formula has been generalized and its form for improper integral been presented .Our results are not only useful for integral theory and computation ,but also for the class teaching of higher mathematics .
- definiteintegrals,primitivefunction,Newton-Leibnizformula
Abstract: 定积分；原函数；牛顿；莱布尼茨公式

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高等数学中牛顿-莱布尼茨公式的教学探讨

张双虎,欧增奇

西南大学数学与统计学院,重庆,400715

关键词:

definiteintegrals,primitivefunction,Newton-Leibnizformula

摘要: New ton‐Leibniz formula ,w hich provides an efficient method for the computation of definite inte‐grals ,is the very kernel theorem .However ,the computation of definite integrals is subjected to some re‐striction ,since the theorem can only be used under a better assumption .In this paper ,New ton‐Leibniz formula has been generalized and its form for improper integral been presented .Our results are not only useful for integral theory and computation ,but also for the class teaching of higher mathematics .