@article{Mamman_Aboiyar_2019, title={A Numerical Calculation of Arbitrary Integrals of Functions}, volume={7}, url={https://journals.aijr.org/index.php/ajgr/article/view/2000}, DOI={10.21467/ajgr.7.1.11-17}, abstractNote={<p>This paper presents a numerical technique for solving fractional integrals of functions by employing the trapezoidal rule in conjunction with the finite difference scheme. The proposed scheme is only a simple modification of the trapezoidal rule, in which it is treated as an algorithm in a sequence of small intervals for finding accurate approximate solutions to the corresponding problems. This method was applied to solve fractional integral of arbitrary order α &gt; 0 for various values of alpha. The fractional integrals are described in the Riemann-Liouville sense. Figurative comparisons and error analysis between the exact value, two-point and three-point central difference formulae reveal that this modified method is active and convenient.</p>}, number={1}, journal={Advanced Journal of Graduate Research}, author={Mamman, John Ojima and Aboiyar, Terhemen}, year={2019}, month={Oct.}, pages={11–17} }