Results 1 to 10 of about 394,491 (124)
Fractional Definite Integral [PDF]
Fractal and Fractional, 2017 This paper proposes the definition of fractional definite integral and analyses the corresponding fundamental theorem of fractional calculus. In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition.
Manuel Ortigueira, José Machado
doaj +2 more sources
An efficient approach for calculating a definite integral with about a dozen of sampling points [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: An approximate approach to definite integral calculation has been an attractive problem continuously since the creation of integration due to practical needs in scientific and engineering areas.
Jie Yu +3 more
doaj +1 more source
Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
Tehnički Glasnik, 2023 In this article, the error analysis for designed test and definite integral in employing uniform experimental design is analogically developed on basis of midpoint rule in rectangle method for assessing definite integral through conducting discretized ...
Maosheng Zheng +3 more
doaj +3 more sources
Onto-semiotic complexity of the Definite Integral
REDIMAT, 2021 Teaching and learning Calculus concepts and procedures, particularly the definite integral concept, is a challenge to teachers and students in their academic careers.
María Burgos +3 more
doaj +1 more source
Can definite integral solve the 'aul problem?
Desimal, 2022 There is a similarity in concept between 'aul and the definite integral. 'Aul deals with the issue of the quantity of inheritance which must be divided into smaller quantities in order to be handed over to the heirs, while definite integral relates to ...
Muhammad Wakhid Musthofa +1 more
doaj +1 more source
Mathematics, 2021 This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus ...
Gabriel Bengochea, Manuel Ortigueira
doaj +1 more source
Mathematical and Computational Applications, 2021 This paper gives new integrals related to a class of special functions. This paper also showcases the derivation of definite integrals involving the quotient of functions with powers and the exponential function expressed in terms of the Lerch function ...
Robert Reynolds, Allan Stauffer
doaj +1 more source
Mathematical Construction of Definite Integral Concepts by Using GeoGebra
MEJ (Mathematics Education Journal), 2020 The need to visualize concepts and support the materials in Mathematics learning by forming the pictures or by using existing draw, becoming what is needed by the students in improving their mathematical development and understanding.
Widiya Astuti Alam Sur
doaj +1 more source
Vojnotehnički Glasnik, 2022 Introduction/purpose: An approximation for assessing a definite integral is continuously an attractive topic owing to its practical needs in scientific and engineering areas. An efficient approach for preliminarily calculating a definite integral with
Maosheng Zheng +3 more
doaj +1 more source
Students’ visual thinking ability in solving the integral problem
Journal of Research and Advances in Mathematics Education, 2020 Visual thinking plays an essential role in solving problems and in learning mathematics. Many students do not understand how to graphically or geometrically represent problems and solve algebra problems.
Ummu Sholihah +2 more
doaj +1 more source