Wolfram Mathematica Online Integrator
HOW TO ENTER INPUT
This page outlines some important points for writing integrands. The Wolfram Mathematica Online Integrator is powered by webMathematica, so it expects input to be in Mathematica syntax. It can also parse many expressions when they are not in exactly the right form, so people who are unfamiliar with Mathematica syntax details will not usually encounter problems. However, we recommend you become familiar with the material on this page for best results.
Basic Rules 

Example: Type Sqrt[Sin[x]] for the square root of the sine of x.Names of functions start with capital letters.
Arguments of functions are put inside square brackets.
Multiplication is indicated by a space.

Elementary and Operations Functions

Basic Arithmetic Operations 

Links in the first column will take you to more information about a particular function in the online MathematicaDocumentation Center. Links in the second column will take you to more information about the function inMathWorld.

a + bplus
a - bminus
a b or a*btimes
a/bdivide
a^bpower
Sqrt[a]square root

Mathematical Constants
Pi3.14159...
Degreedegree
Ii
Ee, 2.71828...
GoldenRatiogolden ratio, 1.61803...
EulerGammaEuler's constant, 0.57721...
CatalanCatalan's constant, 0.91596...
StieltjesGamma[n]Stieltjes constants

Trigonometric and Exponential Functions
Sin[x]Cos[x]Tan[x],
Csc[x]Sec[x]Cot[x]
trigonometric functions
(with arguments in radians)
ArcSin[x]ArcCos[x]ArcTan[x],ArcTan[x,y],
ArcCsc[x]ArcSec[x]ArcCot[x] 
inverse trigonometric functions
(giving results in radians)
Exp[x] or E^xexponential function
Log[x]natural logarithm
Log[bx]logarithm of x to the base b
Sinh[x]Cosh[x]Tanh[x],
Csch[x]Sech[x]Coth[x]
hyperbolic functions
ArcSinh[x]ArcCosh[x]ArcTanh[x],
ArcCsch[x]ArcSech[x]ArcCoth[x]
inverse hyperbolic functions


Higher Mathematical Functions

Mathematica includes over 500 higher mathematical functions, including almost all the functions of mathematical physics.
Names of functions are usually complete English words.
Mathematical functions that are usually referred to by a person's name have names in Mathematica of the form PersonSymbol. For example, the Legendre polynomials are denoted by LegendreP[nx].
If the standard notation for a mathematical function involves both subscripts and superscripts, the subscript is given before the superscript in the Mathematica form. For example, the associated Legendre polynomials, which are usually written as , are denoted as LegendreP[nmx].
Combinatorial polynomials
Orthogonal polynomials
Gamma and related functions
Zeta and related functions
Exponential Integral and related functions
Error function and related functions
Bessel functions
Legendre and related functions
Confluent hypergeometric functions
Hypergeometric functions and generalizations
ProductLog function
Elliptic integrals
Elliptic functions
Mathieu and related functions

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