IntegralCalculus.Integrate Method

IntegralCalculusIntegrate Method

Mathos Core Library 1.0.5.1 (changeset 39720)

This documentation is compiled for the latest release of Mathos Core Library

Calculates the approximation of an integral given a function, lower limit, upper limit and an approximation algorithm

Namespace: Mathos.Calculus
Assembly: Mathos (in Mathos.dll) Version: 1.0.5.1 (1.0.5.1)

Syntax

public static double Integrate(
	Func<double, double> function,
	double lowerLimit,
	double upperLimit,
	IntegralCalculusIntegrationAlgorithm integrationAlgorithm = IntegralCalculusIntegrationAlgorithm.SimpsonsRule,
	double numberOfIntervals = 100000
)

Public Shared Function Integrate ( 
	function As Func(Of Double, Double),
	lowerLimit As Double,
	upperLimit As Double,
	Optional integrationAlgorithm As IntegralCalculusIntegrationAlgorithm = IntegralCalculusIntegrationAlgorithm.SimpsonsRule,
	Optional numberOfIntervals As Double = 100000
) As Double

public:
static double Integrate(
	Func<double, double>^ function, 
	double lowerLimit, 
	double upperLimit, 
	IntegralCalculusIntegrationAlgorithm integrationAlgorithm = IntegralCalculusIntegrationAlgorithm::SimpsonsRule, 
	double numberOfIntervals = 100000
)

static member Integrate : 
        function : Func<float, float> * 
        lowerLimit : float * 
        upperLimit : float * 
        ?integrationAlgorithm : IntegralCalculusIntegrationAlgorithm * 
        ?numberOfIntervals : float 
(* Defaults:
        let _integrationAlgorithm = defaultArg integrationAlgorithm IntegralCalculusIntegrationAlgorithm.SimpsonsRule
        let _numberOfIntervals = defaultArg numberOfIntervals 100000
*)
-> float

Parameters

function: Type: SystemFuncDouble, Double
Assign a function using a lambda expression.
lowerLimit: Type: SystemDouble
Enter the lower limit.
upperLimit: Type: SystemDouble
Enter the upper limit.
integrationAlgorithm (Optional): Type: Mathos.CalculusIntegralCalculusIntegrationAlgorithm
Specify the integration approximation algorithm. The accuracy depends on the algorithm as well.
numberOfIntervals (Optional): Type: SystemDouble
Set the number of intervals. The bigger value, the more accuare approximation. For Simpson's rule, this value should be even.

Return Value

Type: Double

Reference

IntegralCalculus Class

Mathos.Calculus Namespace