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I am looking for some bibliography regarding solving integral optimization problems numerically (preferably using Matlab).

I want to solve problems of the type $$ \min_{r \in A} \int_a^b (f(x,r(x),r'(x))dx $$ where $A$ is a class of admissibility for $r$, where some constraints may appear.

I am not looking for a general method to solve all these problems. In my case $f$ is usually a very simple function. I just want to see some examples solved in detail, so that I could try and adapt the methods to my case.

I would be grateful if you could point me in the right direction.

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    I have deleted my answer as it appears I misread the question. I can't say that I have seen a matlab solution for the problem that you are posting here.2012-12-05

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