Integration functions. Here is the integral ∫_a^bx^2 dx. This gives the multiple integral ∫_0^adx ∫_0^bd y(x^2+y^2).

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

Unicode: 222B. Alias: Esc int Esc. Compound operator with built-in evaluation rules. ∫ f  x is by default interpreted as Integrate[f,x]. ∫_a^b f  x is by default ...

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 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 ...

Mathematica contains a very powerful system of integration. It can do almost any integral that can be done in terms of standard mathematical functions.

When Mathematica cannot give you an explicit result for an integral, it leaves the integral in a symbolic form. It is often useful to manipulate this symbolic form. ...

Basic 3D plotting function. This makes a three-dimensional plot of the function sin(xy). Three-dimensional graphics can be rotated in place by dragging the mouse inside of ...

ListSurfacePlot3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] plots a three-dimensional surface constructed to fit the specified points.

Mathematica lets you determine the final rendered color of a 3D surface using simulated lighting, reflection, and glow. With the Glow option, you can color a 3D surface ...