NIntegrate (Built-in Mathematica Symbol)

NIntegrate[f, {x, x_min, x_max}] gives a numerical approximation to the integral \[Integral]_x_min^x_max\ f\ d \ x. NIntegrate[f, {x, x_min, x_max}, {y, y_min, y_max}, ...] ...

NIntegrate Integration Strategies (Mathematica Tutorial)

An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...

NIntegrate Integration Rules (Mathematica Tutorial)

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

NIntegrate Introduction (Mathematica Tutorial)

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

Numerical Integration (Mathematica Tutorial)

Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...

NIntegrate References (Mathematica Tutorial)

[BerntEspGenz91] Berntsen, J., T. O. Espelid, and A. Genz. "An Adaptive Algorithm for the Approximate Calculation of Multiple Integrals." ACM Trans. Math. Softw. 17, no. 4 ...

Introduction to Numerical Sums, ... (Mathematica Tutorial)

Numerical sums, products and integrals. Here is a numerical approximation to ∑_(i=1)^∞((1)/(i^3)). NIntegrate can handle singularities in the integration region.

The Uncertainties of Numerical ... (Mathematica Tutorial)

Mathematica does operations like numerical integration very differently from the way it does their symbolic counterparts. When you do a symbolic integral, Mathematica takes ...

GUIKit Example: NIntegrate Explorer (GUIKit Package Tutorial)

The NIntegrate Explorer is a GUI that lets you do numerical quadrature using NIntegrate. It opens a tool that lets you enter an integrand, set a region, then modify and ...

Numerical Mathematics in Mathematica (Mathematica Tutorial)

One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...