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 Mathematica Documentation
Center. Links in the second column will take you
to more information about the function in MathWorld.
Mathematical 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^x |
exponential function |
| Log[x] |
natural logarithm |
| Log[b, x] |
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[n, x].
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[n, m, x].
