Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries for .NET

  • Home
  • Features
    • Math Library
    • Vector and Matrix Library
    • Statistics Library
    • Performance
    • Usability
  • Documentation
    • Introduction
    • Math Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Partners
    • Contact us
Introduction
Deployment Guide
Nuget packages
Configuration
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Nuget packages
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.DataAnalysis.Models
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Providers
    • Extreme.Providers.InteropServices
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics.Curves
    • BarycentricBasis Class
    • BarycentricSeries Class
    • ChebyshevBasis Class
    • ChebyshevSeries Class
    • CubicSpline Class
    • CubicSplineKind Enumeration
    • Curve Class
    • CurveFitter Class
    • FunctionBasis Class
    • GeneralCurve Class
    • GeneralFunctionBasis Class
    • LinearCombination Class
    • LinearCurveFitter Class
    • LinearLeastSquaresMethod Enumeration
    • NonlinearCurve Class
    • NonlinearCurveFitter Class
    • NonlinearCurveFitter(T) Class
    • NonlinearCurveFittingMethod Enumeration
    • PiecewiseConstantCurve Class
    • PiecewiseCurve Class
    • PiecewiseLinearCurve Class
    • Point Structure
    • Polynomial Class
    • PolynomialBase Class
    • PolynomialBasis Class
    • WeightFunctions Class
  • Curve Class
    • Curve Constructor
    • Properties
    • Methods
  • Methods
    • Clone Method
    • FindRoots Method
    • GetCurveFitter Method
    • GetDerivative Method
    • Integral Method
    • OnParameterChanged Method
    • OnParameterChanging Method
    • SetParameter Method
    • SlopeAt Method
    • Solve Method
    • TangentAt Method
    • ValueAt Method
  • Integral Method

CurveIntegral Method

Extreme Optimization Numerical Libraries for .NET Professional
Gets the definite integral of the curve between the specified X-coordinates.

Namespace:  Extreme.Mathematics.Curves
Assembly:  Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
Syntax

C#
VB
C++
F#
Copy
public virtual double Integral(
	double lowerBound,
	double upperBound
)
Public Overridable Function Integral ( 
	lowerBound As Double,
	upperBound As Double
) As Double
public:
virtual double Integral(
	double lowerBound, 
	double upperBound
)
abstract Integral : 
        lowerBound : float * 
        upperBound : float -> float 
override Integral : 
        lowerBound : float * 
        upperBound : float -> float 

Parameters

lowerBound
Type: SystemDouble
The lower bound of the integration interval.
upperBound
Type: SystemDouble
The upper bound of the integration interval.

Return Value

Type: Double
The definite integral of the curve between lowerBound and upperBound.
Remarks

By default, the integral is approximated numerically by using an instance of the AdaptiveIntegrator class.

See Also

Reference

Curve Class
Extreme.Mathematics.Curves Namespace

Copyright (c) 2004-2021 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-2021, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.