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Yet Another Table of Integrals

Richard J. Mathar

Abstract

This collection of sums and integrals has been harvested from the mathematical and physical literature in unstructured ways. Its main use is backtracking the original sources whenever an integral of the reader's application resembles one of the items in the collection.

Yet Another Table of Integrals

Abstract

This collection of sums and integrals has been harvested from the mathematical and physical literature in unstructured ways. Its main use is backtracking the original sources whenever an integral of the reader's application resembles one of the items in the collection.

Paper Structure

This paper contains 79 sections, 2466 equations, 1 table.

Table of Contents

  1. Finite Series
  2. Numerical Series
  3. Infinite Products
  4. Formulae from Differential Calculus
  5. Elementary Functions
  6. Powers of Binomials
  7. The Exponential Function
  8. Trigonometric and Hyperbolic Functions
  9. Fourier Series
  10. Expansions of Hyperbolic Functions
  11. The Logarithmic Function
  12. Series of logarithms
  13. The Inverse Trigonometric and Hyperbolic Function
  14. Indefinite Integrals of Elementary Functions
  15. Rational Functions
  16. ...and 64 more sections