Verification of complicated integration solution using Feynman’s and numerical method / Nur Izzah Aqilah Amram

Solving integration problems is crucial since they exist in a wide range of subjects and professions such as physics, mathematics, and engineering. There are many complicated integration problems that are usually solved by common theoretical methods such as integration by substitution, integration b...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Amram, Nur Izzah Aqilah
التنسيق: أطروحة
اللغة:English
منشور في: 2023
الموضوعات:
الوصول للمادة أونلاين:https://ir.uitm.edu.my/id/eprint/97730/1/97730.pdf
الوسوم: إضافة وسم
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الوصف
الملخص:Solving integration problems is crucial since they exist in a wide range of subjects and professions such as physics, mathematics, and engineering. There are many complicated integration problems that are usually solved by common theoretical methods such as integration by substitution, integration by parts, and integration by trigonometric substitution. However, these methods need a laborious calculation. As a result, researchers prefer to use numerical methods that are straightforward and easy to apply. In this project, theoretical method namely Feynman’ method and numerical method are used to solve complicated integration problems. The percentage of relative error is used to analyse the error. This project tries to verify the solution for the complicated integration problem using Feynman’s method by the numerical method particularly the Trapezoidal Rule when direct solver failed to give the solution.