FunctionMathIntegrate Method (FuncDouble, Double, Interval)

Evaluates a definite integral.

Namespace: Meta.Numerics.Analysis
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

public static IntegrationResult Integrate(
	Func<double, double> integrand,
	Interval range
)

Public Shared Function Integrate ( 
	integrand As Func(Of Double, Double),
	range As Interval
) As IntegrationResult

public:
static IntegrationResult^ Integrate(
	Func<double, double>^ integrand, 
	Interval range
)

static member Integrate : 
        integrand : Func<float, float> * 
        range : Interval -> IntegrationResult

Parameters

integrand: Type: SystemFuncDouble, Double
The function to be integrated.
range: Type: Meta.NumericsInterval
The range of integration.

Return Value

Type: IntegrationResult
The result of the integral.

Exceptions

Exception	Condition
ArgumentNullException	The integrand is .
NonconvergenceException	The maximum number of function evaluations was exceeded before the integral could be determined to the required precision.

Remarks

By default, integrals are evaluated to a relative precision of about 10^-14, about two digits short of full precision, or an absolute precision of about 10^-16, using a budget of about 5000 evaluations. To specify different evaluation settings use Integrate(FuncDouble, Double, Interval, IntegrationSettings).

See Integrate(FuncDouble, Double, Interval, IntegrationSettings) for detailed remarks on numerical integration.

Reference

FunctionMath Class

Integrate Overload

Meta.Numerics.Analysis Namespace

FunctionMathAddLanguageSpecificTextSet("LST32C63AA0_0?cpp=::|nu=.");Integrate Method (FuncAddLanguageSpecificTextSet("LST32C63AA0_1?cs=&lt;|vb=(Of |cpp=&lt;|fs=&lt;'|nu=(");Double, DoubleAddLanguageSpecificTextSet("LST32C63AA0_2?cs=&gt;|vb=)|cpp=&gt;|fs=&gt;|nu=)");, Interval)

Parameters

Return Value

Reference

FunctionMathIntegrate Method (FuncDouble, Double, Interval)