ScholarLens Back to search
2014•Journal of Southwest China Normal UniversityRequires access

On Newton-Leibniz Formula in Teaching the Higher Mathematics

Zhang Shuang-h

Open publisher page 0 citations

Abstract

Newton-Leibniz formula,which provides an efficient method for the computation of definite integrals,is the very kernel theorem.However,the computation of definite integrals is subjected to some restriction,since the theorem can only be used under a better assumption.In this paper,Newton-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.

About this research paper

What this paper is about

Newton-Leibniz formula,which provides an efficient method for the computation of definite integrals,is the very kernel theorem.However,the computation of definite integrals is subjected to some restriction,since the theorem can only be used under a better assumption.In this paper,Newton-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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Newton-Leibniz formula,which provides an efficient method for the computation of definite integrals,is the very kernel theorem.However,the computation of definite integrals is subjected to some restriction,since the theorem can only be used under a better assumption.In this paper,Newton-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.

Key concepts: Mathematics, Computation, Kernel (algebra), Class (philosophy), Calculus (dental), Applied mathematics, Algebra over a field, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On Newton-Leibniz Formula in Teaching the Higher Mathematics — Research Paper | ScholarLens