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, ...

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

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 ...

Now that we have introduced the basic features of patterns in Mathematica, we can use them to give a more or less complete example. We will show how you could define your own ...

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

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 ...

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. ...

CosIntegral[z] gives the cosine integral function Ci(z).

Differentiation Total Derivatives Derivatives of Unknown Functions