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integrate

Integratecfitobject

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Syntax

int = integrate(fun,x,x0)

Description

example

int= integrate(fun,x,x0)integrates thecfitobjectfunat the points specified by the vectorx, starting fromx0, and returns the result inint.

Examples

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Open Live Script

Create a baseline sinusoidal signal.

xdata = (0:.1:2*pi)'; y0 = sin(xdata);

Add response-dependent Gaussian noise to the signal.

noise = 2*y0.*randn(size(y0)); ydata = y0 + noise;

Fit the noisy data with a custom sinusoidal model.

f = fittype('a*sin(b*x)'); fit1 = fit(xdata,ydata,f,'StartPoint',[1 1]);

Find the integral of the fit at the predictors.

int = integrate(fit1,xdata,0);

Plot the data, the fit, and the integral.

subplot(2,1,1) plot(fit1,xdata,ydata)% cfit plot methodsubplot(2,1,2) plot(xdata,int,'m')% double plot methodgridonlegend('integral')

You can also compute integrals and plot them directly with thecfitplotmethod:

figure plot(fit1,xdata,ydata,{'fit','integral'})

Theplotmethod, however, does not return data on the integral.

Input Arguments

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Function to integrate, specified as acfitobject.

Points at which to integrate the function, specified as a vector.

First point of integration, specified as a scalar.

Output Arguments

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Result of the integration, returned as a vector of the same size ofx.

See Also

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Topics

Introduced before R2006a

Curve Fitting Toolbox Documentation

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