The paper presents novel integral formulas related to trigonometric functions, suggesting further exploration of mathematical constants.
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.
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