In Gradshteyn and Ryzhik, integrals originating from the book by Bierens de Haan are denoted by BI. They were then replaced by the much more extensive tables of Gradshteyn and Ryzhik. These tables, which contain mainly integrals of elementary functions, remained in use until the middle of the 20th century. A new edition was published in 1867 under the title Nouvelles tables d'intégrales définies. More extensive tables were compiled in 1858 by the Dutch mathematician David Bierens de Haan for his Tables d'intégrales définies, supplemented by Supplément aux tables d'intégrales définies in ca. These tables were republished in the United Kingdom in 1823. Historical development of integrals Ī compilation of a list of integrals (Integraltafeln) and techniques of integral calculus was published by the German mathematician Meier Hirsch (also spelled Meyer Hirsch) in 1810. This page lists some of the most common antiderivatives. While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful. Integration is the basic operation in integral calculus. You can help by adding missing items with reliable sources. This is a dynamic list and may never be able to satisfy particular standards for completeness.

Inverse trig integrals cheat sheet