Integral Table

Types of integrands: Basic Rational Roots Logarithms Exponentials Trigonometric Hyperbolic

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Basic Forms

(1)

(2)

(3)

Rational Functions

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15)

(16)

Integrals with Roots

(17)

(18)

(19)

(20)

(21)

(22)

(23)

(24)

(25)

(26)

(27)

(28)

(29)

(30)

(31)

(32)

(33)

(34)

(35)

(36)

(37)

(38)

(39)

(40)

(41)

(41a)

Integrals with Logarithms

(42)

(43)

(44)

(45)

(46)

(47)

(48)

(49)

Integrals with Exponentials

(50)

(51)

(52)

(53)

(54)

(55)

(56)

(56a)

(57)

(58)

(58a)

Integrals with Trigonometric Functions

(59)

(60)

(61)

(61a)

(62)

(63)

(64)

(64a)

(65)

(65a)

(66)

(66a)

(67)

(67a)

(68)

(68a)

(69)

(70)

(71)

(71a)

(72)

(73)

(74)

(75)

(76)

(77)

(78)

(79)

(80)

(81)

(82)

Products of Trigonometric Functions and Monomials

(83)

(84)

(85)

(86)

(87)

(88)

(89)

(90)

(91)

(92)

(93)

Products of Trigonometric Functions and Exponentials

(94)

(95)

(96)

(97)

Products of Trigonometric Functions, Exponentials, and Monomials

(98)

(99)

Integrals with Hyperbolic Functions

(100)

(101)

(102)

(103)

(104)

(105)

(106)

(107)

(108)

(109)

(110)

(111)

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©2007 B.E.Shapiro. This material is posted as is without warranty. No claims are made about the accuracy, correctness or suitability of this material for any purpose. While a reasonable effort was made to verify the accuracy of these formulas some typographical errors may have occurred. You should verify any formulas you use before using or publishing any derivative results.

The actual integral formulas themselves exist in the public domain and may not be copyrighted.

I am not in any way affiliated with Wolfram Research, Mathematica, or the Wolfram Integrater. I've just posted the link at the top of this page because I think their web site is really cool!

Thanks to the following for pointing out corrections, typos, or suggesting new formulas: LS Rigo (19); Bruce Weems (23); Stephen Russ (36); Justin Winokur (37, 41a); James Duley (41); Daniel Ajoy (51); Johannes Ebke (57); Jim Swift (56a - 58a) Vedran (Veky) Čačić (65); Peter Kloeppel (74); Phillipe (Xul) (92); Nicole Ritzert and Andrea Bajo (95).

Table of Integrals