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The problem with the Piecewise functions was reported in trac #10841 and a fix has been accepted and is pending for sage 4.7. It basically only adds four characters to cast the integrand to an Expression. If there are other functions which don't behave, could you report them to trac?

Integration does gives different type results depending on the ranges (e.g. for definite integrals you can easily get Integers, Rationals, RealDoubleElements, and so on.) You can work around this easily enough on the "outside" in your own code by explicitly casting to SR, but I admit it's sometimes hard to work around problems on the inside.

The problem with the Piecewise functions was reported in trac #10841 and a fix has been accepted and is pending for sage 4.7. It basically only adds four characters to cast the integrand to an Expression. If there are other functions which don't behave, could you report them to trac?

Integration does gives different type results depending on the ranges (e.g. for definite integrals you can easily get Integers, Rationals, RealDoubleElements, and so on.) You can work around this easily enough on the "outside" in your own code by explicitly casting to SR, but I admit it's sometimes hard to work around problems on the inside."inside", i.e. in built-in functions.