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Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions

Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_6e1f4e02d25d4c37a55cbc35bfdce27f

Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions

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Full title

Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions

Author / Creator

Publisher

Basel: MDPI AG

Journal title

Axioms, 2024-04, Vol.13 (4), p.230

Language

English

Formats

Publication information

Publisher

Basel: MDPI AG

More information

Scope and Contents

Contents

Making use of integration by parts and variable replacement methods, we derive some interesting explicit definite integral formulae involving trigonometric or hyperbolic functions, whose results are expressed in terms of Catalan’s constant, Dirichlet’s beta function, and Riemann’s zeta function, as well as π in the denominator.

Alternative Titles

Full title

Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions

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Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_6e1f4e02d25d4c37a55cbc35bfdce27f

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_6e1f4e02d25d4c37a55cbc35bfdce27f

Other Identifiers

ISSN

2075-1680

E-ISSN

2075-1680

DOI

10.3390/axioms13040230

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