I think I found a bug (at least in 9.5 and 13): int(BesselK(1,t)*t^2,t=0..x); produces a function of x which is a correct antiderivative, but is not equal to 0 for x=0. In fact, it is -1 (well, the limit of x to 0). So in the result of the above integral the term +1 is missing.

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