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Lists of integrals

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Topics in Calculus

Fundamental theorem | Function | Limits of functions | Continuity | Calculus with polynomials


Product rule | Quotient rule | Chain rule | Implicit differentiation | Taylor's theorem

Integration by substitution | Integration by parts | Integration by trigonometric substitution | Solids of revolution | Integration by disks | Integration by cylindrical shells | Lists of integrals
Vector Calculus
Vector | Vector field | Matrix | Partial Derivative | Gradient | Flux | Divergence | Divergence Theorem | Del | Curl | Stokes' Theorem
Tensor Calculus
Tensor | Tensor field | Tensor product | Exterior power | Exterior Derivative | Covariant derivative | Manifold

See the following pages for lists of integrals:

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


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.


  • Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.
  • Alan Jeffrey and Daniel Zwillinger, editors. Gradshteyn and Ryzhik's 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 1584882913. (Many earlier editions as well.)

External links

Integrals on demand

Tables of integrals

Last updated: 10-24-2004 05:10:45