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Integrate cfit object
cfit
int = integrate(fun,x,x0)
int = integrate(fun,x,x0) integrates the cfit object fun at the points specified by the vector x, starting from x0, and returns the result in int.
int
fun
x
x0
example
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integrate
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 method subplot(2,1,2) plot(xdata,int,'m') % double plot method grid on legend('integral')
You can also compute integrals and plot them directly with the cfit plot method:
plot
figure plot(fit1,xdata,ydata,{'fit','integral'})
The plot method, however, does not return data on the integral.
Function to integrate, specified as a cfit object.
Points at which to integrate the function, specified as a numeric vector.
Lower bound for integration, specified as a numeric scalar.
Result of the integration, returned as a numeric vector of the same size as x.
Introduced before R2006a
fit | plot | differentiate
fit
differentiate
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