Scientia Series A: Mathematical Sciences

Vol. 32 (2022)
Articles

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

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  • Derek Chen,
  • Sheryar Choudhry,
  • Adina-Raluca Corcau,
  • Tyler 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
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
Bio
Blaine Larson
Department of Mathematics and Statistics, University of Victoria
Bio
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
Bio
Paramjyoti Mohapatra
Department of Mathematics,Applied Mathematics and Statistics, Case Western Reserve University,Cleveland, Ohio 44106
Bio
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.
Bio

Published 2022-01-15

Keywords

  • Integrals,
  • closed-form formulas,
  • rational integrands,
  • Gradshteyn and Ryzhik,
  • integration by parts,
  • recurrences
    • ...More
    Less
Creative Commons License

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

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://revistas.usm.cl/scientia/article/view/23

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.

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