Using MATLAB, what is the best way to find the integral of a bounded range of a CDF?

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Aaron
Aaron 2013-6-7
Using MATLAB, what is the best way to find the integral of a bounded range of a CDF. I've heard of trapz, cumtrapz, etc. but I do not know the best way to proceed for integrating CDFs. Please refer to the following code:
u = 1;
s = 1;
X = random('Normal',u,s,1,10000);
pd = makedist('Normal','mu',u,'sigma',s);
xAxis = min(X):.0001:max(X);
c_pd = cdf(pd,xAxis);
r = icdf(pd,[.3,.6]);
plot(xAxis,c_pd)
Basically, I am trying to integrate c_pd between the corresponding X values for .3 and .6 (found by using icdf). However, c_pd is a vector and not the actual cdf function. Does anyone have ideas on the best way to find the integral of this regardless of the distribution type (i.e. Normal, Rician, etc.)? Please advise. Thank you.

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Mike Hosea
Mike Hosea 2013-6-7
Well, you have the function as well, not just the vector. If I understand you correctly,
integral(@(x)cdf(pd,x),r(1),r(2))
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Aaron
Aaron 2013-6-12
Yes, thank you very much. And, I appreciate the clarification on needed to re-define g if pd changes. I would not have known!

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