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How to evaluate multiple definite integrals using the integral(F,min,max) function?

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I am trying to evaluate the integral of a function F using the integral(F,min,max) Matlab built-in function. The problem is that I want to evaluate the integral for a range of definition intervals (xmin,xmax), not just for one pair of values, and I get the "A and B must be floating point scalars" error message. I attached the code below:
% F(d) function definition
format long;
d = [1e-6:1e-7:1e-5];
F = (1./4)*(pi*pi*4e-7*(1.3e5)^2*(0.5e-6)^4)*(1./d.^2+1./(d+2*(0.67e-6)).^2-2./(d+(0.67e-6)).^2);
% F(d) plot
plot(d,F,'green', 'LineWidth', 2);
% Definite integral evaluation
F = @(d)(1./4)*(pi*mu0*M^2*R^4)*(1./d.^2+1./(d+2*H).^2-2./(d+H).^2);
dmin = [1e-6:1e-7:1e-5];
dmax = [1e-6+1e-7:1e-7:1e-5+1e-7];
L = integral(F,dmin,dmax)
What should I do in order to calculate the values of my definite integral for all the definition intervals ((1e-6, 1.1e-6), (1.1e-6,1.2e-6),..., (1e-5,1.01e-5))?

Akzeptierte Antwort

Mike Hosea
Mike Hosea am 25 Sep. 2012
L = arrayfun(@(a,b)integral(F,a,b),dmin,dmax)

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