A Question about rationality , irrationality or Transcendence of definite integral

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( this is my first question on the site so please forgive any possible mistake )

Consider integral of the form :

$$\int_0^\infty f(x)dx$$

Can we have a set of conditions of $f(x)$ such that we can assure the value is rational or irrational( transcendental ) ?

Is/are there such type of standard result in literature ?