I want to evaluate an integral of form given below
$$\int\limits_\alpha^\beta (f(x) + g(x) + h(x) + ...) dx$$
When I give it to Mathematica it takes forever to evaluate. But if I give it in this form
$$\int\limits_\alpha^\beta f(x)dx + \int\limits_\alpha^\beta g(x)dx + \int\limits_\alpha^\beta h(x)dx + ...$$
It takes comparatively lesser time.
According to this page it can be defined as
integrate[y_ + z_, x_] := integrate[y, x] + integrate[z, x]
for two variables. But I want to be able to do this for arbitrary number of variables. How to is the question.