On Some Trigonometric and Inverse Trigonometric Integral Formulas

This paper presents a new collection of trigonometric and inverse trigonometric integral formulas based on a known integral result. Some of these formulas evaluate to zero, while others are notable for their connection to well-known mathematical constants, such as π,√ 2, and the Catalan constant. Comprehensive proofs are provided for all results, and an open problem is posed to inspire further investigation.

Publication Details

Journal
Annals of Communications in Mathematics
Published
2025-09-29
DOI
https://doi.org/10.62072/acm.2025.080305
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

On Some Trigonometric and Inverse Trigonometric Integral Formulas

Annals of Communications in Mathematics
Algebraic and Geometric Analysis
article

On Some Trigonometric and Inverse Trigonometric Integral Formulas

article en

Abstract

This paper presents a new collection of trigonometric and inverse trigonometric integral formulas based on a known integral result. Some of these formulas evaluate to zero, while others are notable for their connection to well-known mathematical constants, such as π,√ 2, and the Catalan constant. Comprehensive proofs are provided for all results, and an open problem is posed to inspire further investigation.

Annals of Communications in Mathematics
Openalex Percentile: Top 62%
Algebraic and Geometric Analysis
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On Some Trigonometric and Inverse Trigonometric Integral Formulas · Annals of Communications in Mathematics (2025) | TGRS Research Map | TGRS