ON THREE REFERENCED TWO-PARAMETER TRIGONOMETRIC IMPROPER INTEGRALS EQUAL TO ZERO
Abstract
This paper focuses on three referenced integrals that share the following features: (i) they are improper; (ii) they depend on two parameters; (iii) they are of trigonometric type; (iv) they evaluate to zero, making them particularly notable; and (v) their proofs do not require intermediate integrals to be determined, instead relying on the application of trigonometric formulas and various integration techniques. All details are provided.
Fields of Study & Subjects
Mathematical and Computational Methods
Advanced Mathematical Identities
Mathematical functions and polynomials
Publication details
- Journal / source
- Journal of Computer Science and Applied Mathematics
- Volume
- 8
- Issue
- 1
- Pages
- 39–46
- Publication date
- 10 February 2026
- Language
- EN