Lists of integrals

From Wikipedia, the free encyclopedia

Topics in calculus

Fundamental theorem
Limits of functions
Continuity
Vector calculus
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.

Contents

[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. A scanned electronic copy of A&S is available here.

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

[edit] References

  • 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.)

[edit] External links

[edit] Integrals on demand

[edit] Tables of integrals