On calculating the integrals of functions of the form <i>x</i> <sup>α</sup> , (0 < α < ∞), without using the fundamental theorem of calculus

1. A positive-valued and piecewise continuous function f on the interval [a,b] has definite integral that can be interpreted geometrically as the area of the region between the graph of f and the x...

Authors

Çağla SEKİN (ORCID: https://orcid.org/0000-0001-7176-5164)
Ilham Aliyev (ORCID: https://orcid.org/0000-0003-2353-7700)

Institutions

Akdeniz University Hospital (TR)

Publication Details

Journal: The Mathematical Gazette
Published: 2026-07-17
DOI: https://doi.org/10.1080/00255572.2026.2700261
Primary Topic: Iterative Methods for Nonlinear Equations
Type: article
Field-Weighted Citation Impact: 0.00

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article

On calculating the integrals of functions of the form x ^α , (0 < α < ∞), without using the fundamental theorem of calculus

Çağla SEKİN, Ilham Aliyev

Jul 17, 2026

The Mathematical Gazette

Iterative Methods for Nonlinear Equations

article

On calculating the integrals of functions of the form x ^α , (0 < α < ∞), without using the fundamental theorem of calculus

Çağla SEKİN, Ilham Aliyev

July 17, 2026article en

Abstract

The Mathematical Gazette

Akdeniz University Hospital (TR)

Reduced inequalities

Openalex Percentile: Top 7%

Iterative Methods for Nonlinear Equations

DOI Source OpenAlex

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On calculating the integrals of functions of the form <i>x</i> <sup>α</sup> , (0 &lt; α &lt; ∞), without using the fundamental theorem of calculus

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Publication Details

On calculating the integrals of functions of the form x α , (0 < α < ∞), without using the fundamental theorem of calculus

On calculating the integrals of functions of the form x α , (0 < α < ∞), without using the fundamental theorem of calculus

Abstract

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

On calculating the integrals of functions of the form <i>x</i> <sup>α</sup> , (0 < α < ∞), without using the fundamental theorem of calculus

On calculating the integrals of functions of the form x ^α , (0 < α < ∞), without using the fundamental theorem of calculus

On calculating the integrals of functions of the form x ^α , (0 < α < ∞), without using the fundamental theorem of calculus