This MATLAB function numerically integrates function fun from xmin to xmax using global adaptive quadrature and default error tolerances.

High-precision numerical integration is implemented in the vpaintegral function of the Symbolic Math Toolbox™. vpaintegral uses variable-precision arithmetic in contrast to the MATLAB integral function, …

For indefinite integrals, int implicitly assumes that the integration variable var is real. For definite integrals, int restricts the integration variable var to the specified integration interval, unless the …

Learn about numeric and symbolic integrals and how to apply them to a broad range of engineering applications. Resources include videos, examples, and documentation.

Numerical integration functions can approximate the value of an integral whether or not the functional expression is known:

This example shows how to compute definite integrals using Symbolic Math Toolbox™.

Usually, the relative tolerance determines the accuracy of the integration. However if abs(q) is sufficiently small, the absolute tolerance determines the accuracy of the integration. You should …

The integral family only accepts function handles as inputs, so those functions cannot be used with discrete data sets. Use trapz or cumtrapz when a functional expression is not available for integration.

The integral quadrature functions in MATLAB® directly support 1-D, 2-D, and 3-D integrations. However, to solve 4-D and higher order integrals, you need to nest calls to the solvers.

This MATLAB function computes the approximate integral of Y via the trapezoidal method with unit spacing.