About tabular integration by parts
DOI:
https://doi.org/10.20535/mmtu-2019.1-033Keywords:
Indefinite integral, Definite integral, Methods of integration, Integration by partsAbstract
The article deals with the table entry of one and multiple integrations by parts. This way of solving the problem is widespread in the English language teaching literature, but it is not available in Ukrainian textbooks. Examples of application of a table entry for all 3 types of integrals that require integration by parts are given. The effectiveness of such a record is also demonstrated in the proofs of theorems, which uses multiple integrations by parts, in particular, to obtain a Taylor formula with the integral form of the remainder and properties of the Laplace integral transform.References
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