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Observation regarding integration with different algorithms

I was going through some basic tutorials and noticed this interesting behavior.

integrate(exp(x)*sin(x) + exp(x)*cos(x), x)

with algorithm='maxima' gives

1/2*(cos(x) + sin(x))*e^x - 1/2*(cos(x) - sin(x))*e^x

rather than the simplified


given by algorithm='sympy'. It is the same when I use maxima or sympy by itself. Why is that? Why is maxima not simplifying the expression?