Gets the definite integral of the curve between the specified X-coordinates.

Namespace: Extreme.Mathematics.Curves
Assembly: Extreme.Numerics (Extreme.Numerics)

Syntax

Visual Basic (Declaration)
Public Overrides Function Integral ( _
	lowerBound As Double, _
	upperBound As Double _
) As Double
C#
public override double Integral (
	double lowerBound,
	double upperBound
)
C++
public:
virtual double Integral (
	double lowerBound, 
	double upperBound
) override

Parameters

lowerBound (System.Double)
The lower bound of the integration interval.
upperBound (System.Double)
The upper bound of the integration interval.

Return Value

The definite integral of the curve between lowerBound and upperBound.

Remarks

The integral of a spline curve is computed exactly.

The most reliable way to integrate a function that is defined in terms of tabulated data is to fit a spline curve through the data points, and approximate the integral of the function by the integral of the spline.