Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...

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 ...

You can rotate 3D graphics with your mouse. Move the pointer over the 3D graphic. The pointer changes to the 3D rotate pointer GraphicsBox[RasterBox[CompressedData[ ]], ...

An image is equivalent to its symbolic expression. You can operate on an image as you would on a symbolic expression. This input produces some disks. Type // InputForm after ...

The following sequence shows how to change the aspect ratio of a plot. Using the Selection tool, click to select the graphic. Shift+drag a handle to change the aspect ratio.

Type Ctrl+DynamicBox[If[$OperatingSystem === MacOSX, T, D], ImageSizeCache -> {9., {0., 8.}}] or choose Graphics > Drawing Tools. For more information on each tool, click the ...

In this tutorial, the following topics are discussed: The following sequence explains how to use the Reshape tool ( GraphicsBox[RasterBox[CompressedData[ ], {Offset[{0.5, ...

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 creates a new symbol when you first enter a particular name. Sometimes it is useful to "intercept" the process of creating a new symbol. Mathematica provides ...