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Mulyono Mulyono
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Journal : AKSIOMA

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Evaluasi dari metode: trapesium, simpson 1/3, simpson 3/8 dan newton cotes orde 4-10 untuk menghitung integral tertentu secara numerik Mulyono Mulyono
AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 13, No 3 (2022): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/aks.v13i3.12908

Abstract

Certain integrals are integrals that handle integral computations between predetermined integral boundaries. This study aims to evaluate and compare several methods to calculate certain integrals numerically, especially for quite complex and tabulated functions, namely the function f(x), which is not explicitly known. The methods in question include the Trapezoidal method, the Simpson 1/3 method, the Simpson 3/8 method, and the Newton-Cotes method of orders 4 to 10. The main factor in comparing the methods mentioned above is the accuracy of the numerical solution. This study shows that for integral problems that can be calculated analytically, the results of calculations using the Newton-Cotes method of order 6 and with many partitions of 12 ( n = 12), the error is 0.0000026%. In contrast, with the Newton-Cotes method of order 6 and with n = 30, the error is 0.000000002 %, while with the Newton-Cotes method of order 10 and using n = 30, the error is 0.00000000 %.
Co-Authors A. Shofy Mubarak AA Sudharmawan, AA abdul basith Achmad Satrio Adi Nur Cahyono Agus Mulyanto Agus Nuryatin Agusniar Dian Savitri Agustina Agustina Ahmad Yani Akhmad Samsu Rijal Ali Mustofa Anang Tri Prasetyawan Annisa Nur Rohmah Purnamasari Ardelia Ernestine Arga Rizki Setiyanto Arie Anang Setyo Arifa Rahmatika Salsabilla Artadi Heru W Arya Rizqi Muhardillah Aspita Laila Ayu Setyaningrum Ayu Siti Ni’mah Syuridiniah Bambang Yulianto Basuki Rahmat Bau E Benny Fremmy Bintang Nurdiansyah Putra Brainvendra Widi Dionova Budhi Prasetiyo Budi Hermawan Choirul Anam Cintia Anggraini Clara Rosita Hani Yuli Astuti Cornelia Angelina P.H Daffa N. H David Rizar Nugroho Dea Erlita Desnira Nulhakim Devi Ajeng Efrilianda Dewi Ratih Dharmayanti Pri Handini Dian Herasari Dian Mestika Sari Diana Urip Rahayu Dinda Bintang Anjani Djodjok Soepardjo Dwi Retnoningrum Dwiana Hendrawati Efridani Lubis Eko Andy p. Eko Andy Purnomo Elsa Fadila Hasaroh Elviani Intan Saputri Enden Darjatul Ulya Eva Azhra Latifa Ewi Ismaredah Faridhatun Nikmah Feti R Kristanti Fitri Amilia Fitri Amillia Fitri Suryanti H Ahd Fauzi H Majeri H Taufikurrahman Hadi Laksono Handani Handani Hari Otang Sasmita Humuntal Banjarnahor I Wayan W W Iman Saifullah Indah Parwatih Irvan Fauzi Isnaini Rosyidah Isnarto Isnarto Istikomah Suci Lestari Iwan Junaedi Jakaria Jakaria Judith Kenyatta Assaf Khoirul Anwar Konita L Kristin Andriani M Fathurrahman Fathurrahman Maria Magdalena Mariani Sitanggang Martyana Prihaswati Melina Br. Sembiring Mirza Rizaldi Muchamad Lukman Fauzi Muhammad Haqqi Muhammad Saleh Suaidy Muhammad Zahran Musyaffa Sanusi Mukh Doyin Mukhammad Bakhruddin Murita Putri Z Mu’alimin Mu’alimin Mu’jizat Al Marwa Najma Khairani Harahap Nanda R Nida Sopiah Nisrina, Safira Fegi Novita Sari Saragih Nur Fatowil Aulia Nur Rika T.R Nuriana Rachmani Dewi Nuzul Barkah Prihutomo Nyoman Suci Widyastiti Rifky Pradifta Eka Putra Rika Susanti Roidlotul Nikmah Annafi Ruslan Hasyim Saekhol Bakri, Saekhol Safira Fegi Nisrina Sahat Saragih Sahrul Romadhon Satrio Ardiansyah, Adi Setyo Hadi W Shindy Sagita Br Ginting Slamet Priyoatmojo Soedjono Soedjono Sofyan Sori Sri Murwanti Sugeng Riani Suharso Suharso Sukestiarno Sukestiarno Sukestiyarno Sukestiyarno survival survival Suseno Suseno Susi Sulistia Suwarti Suwarti Suwarti Suwarti Syakrila Ratu Awwali Taufik Taufik Teguh Harijono Mulud Tisatuladiah Gustian F Tri Puji Rahayuningsih Trisnawati, Nika Fetria Ummul Zulaikhah Wahju Wuladari Wahju Wulandari Wahyono Wahyono Wistiani Wistiani Yetty Movieta Nancy Yetty Movieta Nency Yosephin Elisabeth Panggabean Yuyun, Qurotun A'yuni Zaenuri Zaenuri Zuliyanti Zuliyanti Zulkifli Matondang