Reduction Formulae of 2-refined Neutrosophic Integrals and their Applications

Bishnupada Debnath; Florentin Smarandache

Authors

Bishnupada Debnath Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh (791112), Itanagar, Arunachal Pradesh, India.
Florentin Smarandache Mathematics, Physics and Natural Science Division,University of New Mexico, 705 Gurley Ave., Gallup, NM-87301, U.S.A;

Keywords:

Neutrosophic indefinite integral, neutrosophic definite integral, 2-refined neutrosophic indefinite integral (2RNII), 2-refined neutrosophic definite integral (2RNDI) and reduction formulae of 2-refined neutrosophic indefinite integral (RF2RNII).

Abstract

The main aim of this manuscript is to establish for the first time the reduction formulae of 2-refined
neutrosophic indefinite integrals (shortly, RF2RNII) which have double indeterminacy I1 and I2 respectably.
We then verify reduction formulae with appropriate examples and also apply reduction formulae to evaluate
definite integrals in 2-refined neutrosophic environment. The reduction formula of 2-refined trigonometric functions in 2-refined neutrosophic integrals (shortly, RF2RNI) is a useful mathematical technique for calculating
and deriving a simplified version of integrals. We also classify these reduction formulae by investigating various
cases of 2-refined neutrosophic integrals (shortly,2RNI)

DOI: 10.5281/zenodo.15122672