The Mathematica function Integrate[f,x] gives you the indefinite integral ∫f dx. You can think of the operation of indefinite integration as being an inverse of ...

Here is the integral ∫x^n dx in Mathematica. Here is a slightly more complicated example. Mathematica knows how to do almost any integral that can be done in terms of ...

The following sequence shows how to select an object inside a graphic. To begin editing within a graphic, single-click or double-click the background or an object in the ...

Mathematica provides systemwide support for a large number of special characters. Each character has a name and a number of shortcut aliases. They are fully supported by the ...

In many cases, you will find it convenient to communicate with external programs at a high level, and to exchange structured data with them. On almost all computer systems, ...

The Part function allows you to access specific parts of Mathematica expressions. But particularly when your expressions have fairly uniform structure, it is often convenient ...

Defining local constants. Module allows you to set up local variables, to which you can assign values and then change them. Often, however, all you really need are local ...

Low-level functions for converting between expressions and boxes. MakeBoxes generates boxes without evaluating its input. MakeExpression interprets boxes but uses ...

"Defining Functions" discusses how you can define functions in Mathematica. In a typical case, you would type in f[x_]=x^2 to define a function f. (Actually, the definitions ...

The replacement operator /. allows you to apply transformation rules to a specific expression. Often, however, you want to have transformation rules automatically applied ...