INTEG.1D.CUBIC.SPLINE Function

INTEG.1D.CUBIC.SPLINE

Definite integral using Cubic Spline Interpolation.

Syntax

=INTEG.1D.CUBIC.SPLINE(dataX, dataY, lowerLimit, upperLimit, extrapolate)

Parameters

Name	Type	Required	Description
dataX	Double[]	Yes	Known x values.
dataY	Double[]	Yes	Known y values.
lowerLimit	Double	Yes	Lower limit of integration.
upperLimit	Double	Yes	Upper limit of integration.
extrapolate	Boolean	No	Allow extrapolation (true/false).

Returns

Calculated result based on input parameters

Examples

Error Conditions

Error	Cause	Solution

About Numerical Integration

Numerical integration computes the area under a curve defined by discrete data points. This function uses SPLINE interpolation to approximate the integral.

Understanding Integration

Integration finds:

• Total Accumulation: Sum of all changes
• Area Under Curve: Geometric interpretation
• Cumulative Sum: Total effect over interval

Practical Applications

• Physics: Calculate work from force, distance from velocity
• Statistics: Compute probabilities from distributions
• Engineering: Determine total energy consumption
• Economics: Calculate total revenue or cost

Related Functions

INTEG.1D.LINEAR

Definite integral using Linear Spline Interpolation.

INTEG.1D.AKIMA

Definite integral using Akima Spline Interpolation. A special case of cubic spline that is more robust to outliers.

INTEG.1D.PCHIP

Definite integral using Monotone Cubic Spline (Pchip). A special case of cubic spline that preserves monotonicity of the data.

INTEG.1D.STEP

Definite integral using Step Interpolation.

INTERP.1D.CUBIC.SPLINE

Cubic Spline Interpolation.

See Also

• Method Comparison - Compare different methods
• Quick Start Guide - Get started with the add-in