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 …

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 …

This example shows how to integrate a set of discrete velocity data numerically to approximate the distance traveled.

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

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 …

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

For example, we can integrate the above equation with limits [-2, 2] as follows: I = ∫ 2 2 3 x 2 d x = (2 3 + c) (2 3 + c) = 16 You can use MATLAB ® and Symbolic Math Toolbox™ to calculate …

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 differential equation solvers in MATLAB ® cover a range of uses in engineering and science. There are solvers for ordinary differential equations posed as either initial value problems or …

vpaintegral uses variable-precision arithmetic while the MATLAB ® integral function uses double-precision arithmetic. Using the default values of tolerance, vpaintegral can handle values that …