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Improper Integrals Involving Powers of Inverse Trigonometric and Hyperbolic Functions

Mathematics, 2022
Three classes of improper integrals involving higher powers of arctanh, arctan, and arcsin are examined using the recursive approach. Numerous explicit formulae are established, which evaluate these integrals in terms of π, ln2, the Riemann zeta function,
Chunli Li, Wenchang Chu
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Adaptive Integration and Improper Integrals [PDF]

Mathematics of Computation, 1975
Let R be the class of all functions that are properly Riemann-integrable on [0, 1], and let IR be the class of all functions that are properly Riemann-integrable on [ a , 1] for all
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On improper multiple integrals [PDF]

Transactions of the American Mathematical Society, 1906
ibln,) (XIls XM )d2t when n1, n2k . In both the writings of JORDAN and VALLUE-POUSSIN the field of integration 2f is more or less restricted. The theory of JORDAN requires 2t to have inner points; moreover much of it is essentially limited to measurable fields. The fields considered by VALLUE-POUSSIN are even more restricted.
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The improper 2-refined neutrosophic integrals [PDF]

Neutrosophic Sets and Systems
Given the growing body of research surrounding neutrosophic logic and its increasing recognition across various scientific disciplines, it became essential to extend our efforts within this domain—particularly in the area of neutrosophic calculus.
Suliman Sheen, Qusay Alhassan, Raja Abdullah Abdulfatah, Yaser Ahmad Alhasan   +3 more
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Calculation of integrals in MathPartner

Discrete and Continuous Models and Applied Computational Science, 2021
We present the possibilities provided by the MathPartner service of calculating definite and indefinite integrals. MathPartner contains software implementation of the Risch algorithm and provides users with the ability to compute antiderivatives for ...
Gennadi I. Malaschonok, Alexandr V. Seliverstov   +1 more
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Converse Theorems for the Cesàro Summability of Improper Integrals

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability.
Sefa Anıl Sezer, Rahmet Savaş
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Analysis of the Propagation in High-Speed Interconnects for MIMICs by Means of the Method of Analytical Preconditioning: A New Highly Efficient Evaluation of the Coefficient Matrix

Applied Sciences, 2021
The method of analytical preconditioning combines the discretization and the analytical regularization of a singular integral equation in a single step.
Mario Lucido
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TEOREMA RESIDU DAN APLIKASINYA DALAM INTEGRAL TAK WAJAR

E-Jurnal Matematika, 2022
In this study discusses about the solve of improper integral  uses ordinary step and the solve uses residu theorem. For the ordinary step is used the concept of integral and substitution integral, and the for the residu theorem is used the concept of a ...
MOH. ATKURRAHMAN, MUNIAR ZULFITNI, DIYAH AYU RIZKI PRADITA   +2 more
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CALCULATION OF THE IMPROPER INTEGRALS FOR FOURIER BOUNDARY ELEMENT METHOD

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2013
The traditional Boundary Element Method (BEM)  is a collection of numerical techniques for solving some partial differential equations. The classical BEM produces a fully populated coefficients matrix.
Edyta Łukasik, Beata Pańczyk, Jan Sikora   +2 more
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Improper Integral [PDF]

, 2009
Full text available.
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova   +2 more
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