Create the vector-valued function f (x) = [sin x, sin 2 x, sin 3 x, sin 4 x, sin 5 x] and integrate from x=0 to x=1. Specify 'ArrayValued',true to evaluate the integral of an array-valued or vector-valued function.

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, …

This MATLAB function computes the integral of the symbolic expression expr.

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

When you know how to evaluate the function, you can use integral to calculate integrals with specified bounds. To integrate an array of data where the underlying equation is unknown, you can use trapz, …

Integration of Numeric Data This example shows how to integrate a set of discrete velocity data numerically to approximate the distance traveled. The integral family only accepts function handles …

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

This MATLAB function approximates the integral of the function z = fun(x,y) over the planar region xmin ≤ x ≤ xmax and ymin(x) ≤ y ≤ ymax(x).

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. Create a function …

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