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

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Blaine Larson Department of Mathematics and Statistics, University of Victoria

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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

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

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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.

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Published 2022-01-08

Keywords

  • Integrals,
  • closed-form formulas,
  • rational integrands,
  • Gradshteyn and Ryzhik,
  • integration by parts,
  • recurrences
    • ...More
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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://doi.org/10.71712/v1nq-sq31

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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