The integrals in Gradshteyn and Ryzhik. Part 31: Forms containing binomials

Derek Chen; Sheryar Choudhry; Adina Raluca Corcau; Dunaisky Dunaisky; Blaine Larson; Drew Leahy; Xiang Li; Michael Logal; Alexander R. McCurdy; Qiusu Miao; Paramjyoti Mohapatra; Victor H. Moll; Chi Nguyen; Olivia Peterson; Naveena Ragunathan; Vaishavi Sharma; Brandon Sisler; Rosalie Tarsala; Hassan Zayour

doi:10.71712/v1nq-sq31

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Published: 2022-01-08

DOI: https://doi.org/10.71712/v1nq-sq31

Keywords:

Integrals, closed-form formulas, rational integrands, Gradshteyn and Ryzhik, integration by parts, recurrences

Derek Chen

Department of Mathematics, Yale University, New Haven, CT 06520

Sheryar Choudhry

CUNY College of Staten Island, Staten Island, NY 10314

Adina-Raluca Corcau

Faculty of Mathematics, University of Bucarest, Romania

Tyler Dunaisky

Department of Mathematics, Reed College, Portland, OR 97202

Blaine Larson

Department of Mathematics and Statistics, University of Victoria

Drew Leahy

Department of Mathematics, Holy Cross, Worcester, MA 01610

Xiang Li

Department of Mathematics, Swarthmore College, Swarthmore, PA 19081

Michael Logal

Department of Mathematics, University of Arkansas, Fayetteville, AR 72701

Alexander R. McCurdy

Department of Mathematics, Gonzaga University, Spokane, WA 99258

Qiusu Miao

Department of Mathematics, University of California at Berkeley, CA 94720-5800

Paramjyoti Mohapatra

Department of Mathematics,Applied Mathematics and Statistics, Case Western Reserve University,Cleveland, Ohio 44106

Victor H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118

Chi Nguyen

Department of Mathematics, Carleton College, Northfield, Minnesota, MN 55057

Olivia Peterson

Department of Mathematics, University of Wiscosnin Milwaukee, Milwaukee, WI 53211

Naveena Ragunathan

University of Toronto, Scarborough, 1265 Military Trail, Scarborough, ON M1C 1A4

Vaishavi Sharma

Department of Mathematics, Tulane University, New Orleans, LA 70118

Brandon Sisler

Department of Mathematics, Gustavus Adolphous College, Saint Peter, MN 56082

Rosalie Tarsala

Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010

Hassan Zayour

Department of Mathematics, American University of Beirut, Beirut.

Abstract

The table of Gradshteyn and Ryzhik contains many integrals that involve the expression \(\ z_k = a + bx_k\). All the entries containing this form are evaluated in detail.

Issue

Vol. 32 (2022)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Author Biographies

Tyler Dunaisky, Department of Mathematics, Reed College, Portland, OR 97202

Blaine Larson, Department of Mathematics and Statistics, University of Victoria

Qiusu Miao, Department of Mathematics, University of California at Berkeley, CA 94720-5800

Paramjyoti Mohapatra, Department of Mathematics,Applied Mathematics and Statistics, Case Western Reserve University,Cleveland, Ohio 44106

Hassan Zayour, Department of Mathematics, American University of Beirut, Beirut.

How to Cite

Chen , D., Choudhry, S., Raluca Corcau, A., Dunaisky, D., Larson, B., Leahy, D., Li, X., Logal, M., McCurdy, A. R., Miao, Q., Mohapatra, P., Moll, V. H., Nguyen, C., Peterson, O., Ragunathan, N., Sharma, V., Sisler, B., Tarsala, R., & Zayour, H. (2022). The integrals in Gradshteyn and Ryzhik. Part 31: Forms containing binomials. Scientia Series A: Mathematical Sciences, 32, 31-69. https://doi.org/10.71712/v1nq-sq31