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# Introductory examples in computational statistics class

I'm looking for an example of Bayesian inference for a class with the properties:

1. The problem is easy to state, and the model & prior are both pretty reasonable, and
2. R can't really calculate the integral that shows up when you try to get the posterior distribution (either it gives an error, or it gives an answer that is very far off).

Bonus points if it is known that the integral in question really doesn't have a nice formula' in some sense (e.g. in the formalism introduced by the people who do differential Galois theory).