Integrate seems to return a whole expression unresolved whenever just a single term is unintegrable. How do I get it to return the integral of all terms that are resolvable with the only the unintegrable terms unresolved?
For example, I think Integrate[x^2 + (Log[x]Log[1-x])^2,x] should return x^3/3 + Integrate[(Log[x]Log[1-x])^2,x]; instead it returns the whole expression unintegrated. Even invoking Simplify or FullSimplify doesn't help.
I'm Integrating an expression that, when expanded, has only one unintegrable term, but I would like to have the results for the other terms.