Lists of integrals

From Wikipedia, the free encyclopedia

Topics in calculus
Fundamental theorem Limits of functions Continuity Vector calculus</br>Tensor calculus Mean value theorem
Differentiation
Product rule Quotient rule Chain rule Implicit differentiation Taylor's theorem Related rates Table of derivatives
Integration
Lists of integrals Improper integrals Integration by: parts, disks, cylindrical shells, substitution, trigonometric substitution

See the following pages for lists of integrals:

Also see table of integrals for the most common integral functions.

1 Other lists of integrals
2 References
3 External links
- 3.1 Integrals on demand
- 3.2 Tables of Integrals

[edit] Other lists of integrals

Gradshteyn and Ryzhik contains a large collection of results. Other useful resources include the CRC Standard Mathematical Tables and Formulae and Abramowitz and Stegun. A&S contains many identities concerning specific integrals, which are organized with the most relevant topic instead of being collected into a separate table.

There are several web sites which have tables of integrals, and at least two which offer integrals on demand.

[edit] References

Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.

I.S. Gradshteyn (И.С. Градштейн), I.M. Ryzhik (И.М. Рыжик); Alan Jeffrey, Daniel Zwillinger, editors. Table of Integrals, Series, and Products, sixth edition. Academic Press, 2000. ISBN 0-12-294757-6. Errata. (Several previous editions as well.)

Daniel Zwillinger. CRC Standard Mathematical Tables and Formulae, 31st edition. Chapman & Hall/CRC Press, 2002. ISBN 1-58488-291-3. (Many earlier editions as well.)